diff --git a/bin/LagrangianRelaxation.linux.x86_64.gnu.opt.spx2 b/bin/LagrangianRelaxation.linux.x86_64.gnu.opt.spx2
index 959c5063db4dea75a712c302d28316cb70bf5628..d1ec76b68d186788e60b16853c42fd23c8b950be 100755
Binary files a/bin/LagrangianRelaxation.linux.x86_64.gnu.opt.spx2 and b/bin/LagrangianRelaxation.linux.x86_64.gnu.opt.spx2 differ
diff --git a/comparison.png b/comparison.png
new file mode 100644
index 0000000000000000000000000000000000000000..9e4123ce646c3a0877e4a01fe7759cec8c60eac4
Binary files /dev/null and b/comparison.png differ
diff --git a/dual.txt b/dual.txt
index ed7b0299cf5f8742f6b864784e9791a6ce083f39..302087be88c74aaf9ffd58cf36bc2e6a948a3466 100644
--- a/dual.txt
+++ b/dual.txt
@@ -1,18991 +1,222 @@
-dualbound = 969553.451655, lowerbound=969553.451655, norm of subgrad 985.933290	dualbound = 969553.451655, lowerbound=969553.451655, norm of subgrad 985.933290	 stepsize= 1.000000 
-dualbound = 971795.779461, lowerbound=969627.779461, norm of subgrad 985.893899	dualbound = 971795.779461, lowerbound=969627.779461, norm of subgrad 67.833088	 stepsize= 1.000000 
-dualbound = 973937.200775, lowerbound=969727.200775, norm of subgrad 985.935191	dualbound = 973937.200775, lowerbound=969727.200775, norm of subgrad 66.950887	 stepsize= 1.000000 
-dualbound = 975949.307895, lowerbound=969836.307895, norm of subgrad 985.954516	dualbound = 975949.307895, lowerbound=969836.307895, norm of subgrad 65.437811	 stepsize= 1.000000 
-dualbound = 977948.286894, lowerbound=970011.286894, norm of subgrad 986.010795	dualbound = 977948.286894, lowerbound=970011.286894, norm of subgrad 64.845809	 stepsize= 1.000000 
-dualbound = 979837.061762, lowerbound=970255.061762, norm of subgrad 986.112601	dualbound = 979837.061762, lowerbound=970255.061762, norm of subgrad 63.653553	 stepsize= 1.000000 
-dualbound = 981694.214386, lowerbound=970287.214386, norm of subgrad 986.127889	dualbound = 981694.214386, lowerbound=970287.214386, norm of subgrad 63.388900	 stepsize= 1.000000 
-dualbound = 983477.818754, lowerbound=970665.818754, norm of subgrad 986.280801	dualbound = 983477.818754, lowerbound=970665.818754, norm of subgrad 62.190066	 stepsize= 1.000000 
-dualbound = 985253.629360, lowerbound=970793.629360, norm of subgrad 986.333427	dualbound = 985253.629360, lowerbound=970793.629360, norm of subgrad 61.933921	 stepsize= 1.000000 
-dualbound = 986953.055560, lowerbound=971071.055560, norm of subgrad 986.462394	dualbound = 986953.055560, lowerbound=971071.055560, norm of subgrad 61.126313	 stepsize= 1.000000 
-dualbound = 988626.139985, lowerbound=971268.139985, norm of subgrad 986.553161	dualbound = 988626.139985, lowerbound=971268.139985, norm of subgrad 60.762525	 stepsize= 1.000000 
-dualbound = 990249.094698, lowerbound=971485.094698, norm of subgrad 986.665138	dualbound = 990249.094698, lowerbound=971485.094698, norm of subgrad 60.381742	 stepsize= 1.000000 
-dualbound = 991880.414410, lowerbound=971658.414410, norm of subgrad 986.712934	dualbound = 991880.414410, lowerbound=971658.414410, norm of subgrad 59.793977	 stepsize= 1.000000 
-dualbound = 993451.176878, lowerbound=971869.176878, norm of subgrad 986.859249	dualbound = 993451.176878, lowerbound=971869.176878, norm of subgrad 59.939657	 stepsize= 1.000000 
-dualbound = 995005.613921, lowerbound=971979.613921, norm of subgrad 986.890376	dualbound = 995005.613921, lowerbound=971979.613921, norm of subgrad 59.392230	 stepsize= 1.000000 
-dualbound = 996543.021030, lowerbound=972256.021030, norm of subgrad 987.030405	dualbound = 996543.021030, lowerbound=972256.021030, norm of subgrad 59.248689	 stepsize= 1.000000 
-dualbound = 998057.968084, lowerbound=972567.968084, norm of subgrad 987.192468	dualbound = 998057.968084, lowerbound=972567.968084, norm of subgrad 59.126534	 stepsize= 1.000000 
-dualbound = 999562.545759, lowerbound=972610.545759, norm of subgrad 987.192254	dualbound = 999562.545759, lowerbound=972610.545759, norm of subgrad 58.673484	 stepsize= 1.000000 
-dualbound = 1001036.471322, lowerbound=972812.471322, norm of subgrad 987.308195	dualbound = 1001036.471322, lowerbound=972812.471322, norm of subgrad 58.642353	 stepsize= 1.000000 
-dualbound = 1002505.788115, lowerbound=973078.788115, norm of subgrad 987.446600	dualbound = 1002505.788115, lowerbound=973078.788115, norm of subgrad 58.662738	 stepsize= 1.000000 
-dualbound = 1003949.141280, lowerbound=973063.141280, norm of subgrad 987.423993	dualbound = 1003949.141280, lowerbound=973063.141280, norm of subgrad 58.192381	 stepsize= 1.000000 
-dualbound = 1005390.815095, lowerbound=973534.815095, norm of subgrad 987.646604	dualbound = 1005390.815095, lowerbound=973534.815095, norm of subgrad 57.902278	 stepsize= 1.000000 
-dualbound = 1006808.734428, lowerbound=973501.734428, norm of subgrad 987.624288	dualbound = 1006808.734428, lowerbound=973501.734428, norm of subgrad 57.601383	 stepsize= 1.000000 
-dualbound = 1008213.128863, lowerbound=973738.128863, norm of subgrad 987.763195	dualbound = 1008213.128863, lowerbound=973738.128863, norm of subgrad 57.813445	 stepsize= 1.000000 
-dualbound = 1009584.449336, lowerbound=974069.449336, norm of subgrad 987.914697	dualbound = 1009584.449336, lowerbound=974069.449336, norm of subgrad 57.247886	 stepsize= 1.000000 
-dualbound = 1010963.924508, lowerbound=974711.924508, norm of subgrad 988.249930	dualbound = 1010963.924508, lowerbound=974711.924508, norm of subgrad 57.493262	 stepsize= 1.000000 
-dualbound = 1012312.499391, lowerbound=974460.499391, norm of subgrad 988.126257	dualbound = 1012312.499391, lowerbound=974460.499391, norm of subgrad 57.285032	 stepsize= 1.000000 
-dualbound = 1013651.031479, lowerbound=974834.031479, norm of subgrad 988.294001	dualbound = 1013651.031479, lowerbound=974834.031479, norm of subgrad 56.828972	 stepsize= 1.000000 
-dualbound = 1014991.303444, lowerbound=974958.303444, norm of subgrad 988.362941	dualbound = 1014991.303444, lowerbound=974958.303444, norm of subgrad 56.949732	 stepsize= 1.000000 
-dualbound = 1016277.210680, lowerbound=975523.210680, norm of subgrad 988.641093	dualbound = 1016277.210680, lowerbound=975523.210680, norm of subgrad 56.337441	 stepsize= 1.000000 
-dualbound = 1017597.047976, lowerbound=974805.047976, norm of subgrad 988.278831	dualbound = 1017597.047976, lowerbound=974805.047976, norm of subgrad 56.655426	 stepsize= 1.000000 
-dualbound = 1018873.099834, lowerbound=975797.099834, norm of subgrad 988.792243	dualbound = 1018873.099834, lowerbound=975797.099834, norm of subgrad 56.471691	 stepsize= 1.000000 
-dualbound = 1020161.792991, lowerbound=975572.792991, norm of subgrad 988.702075	dualbound = 1020161.792991, lowerbound=975572.792991, norm of subgrad 56.988535	 stepsize= 1.000000 
-dualbound = 1021411.129073, lowerbound=976051.129073, norm of subgrad 988.923723	dualbound = 1021411.129073, lowerbound=976051.129073, norm of subgrad 56.287975	 stepsize= 1.000000 
-dualbound = 1022708.624788, lowerbound=975578.624788, norm of subgrad 988.660015	dualbound = 1022708.624788, lowerbound=975578.624788, norm of subgrad 56.280509	 stepsize= 1.000000 
-dualbound = 1023962.463174, lowerbound=976454.463174, norm of subgrad 989.099825	dualbound = 1023962.463174, lowerbound=976454.463174, norm of subgrad 55.837607	 stepsize= 1.000000 
-dualbound = 1025227.928944, lowerbound=976464.928944, norm of subgrad 989.116236	dualbound = 1025227.928944, lowerbound=976464.928944, norm of subgrad 56.137917	 stepsize= 1.000000 
-dualbound = 1026440.301898, lowerbound=976330.301898, norm of subgrad 989.055763	dualbound = 1026440.301898, lowerbound=976330.301898, norm of subgrad 55.797607	 stepsize= 1.000000 
-dualbound = 1027686.877113, lowerbound=976902.877113, norm of subgrad 989.340627	dualbound = 1027686.877113, lowerbound=976902.877113, norm of subgrad 56.022988	 stepsize= 1.000000 
-dualbound = 1028904.084155, lowerbound=977095.084155, norm of subgrad 989.438772	dualbound = 1028904.084155, lowerbound=977095.084155, norm of subgrad 55.778195	 stepsize= 1.000000 
-dualbound = 1030118.436039, lowerbound=977058.436039, norm of subgrad 989.407113	dualbound = 1030118.436039, lowerbound=977058.436039, norm of subgrad 55.518933	 stepsize= 1.000000 
-dualbound = 1031317.457267, lowerbound=977516.457267, norm of subgrad 989.624907	dualbound = 1031317.457267, lowerbound=977516.457267, norm of subgrad 55.136388	 stepsize= 1.000000 
-dualbound = 1032534.691491, lowerbound=977047.691491, norm of subgrad 989.415833	dualbound = 1032534.691491, lowerbound=977047.691491, norm of subgrad 55.796364	 stepsize= 1.000000 
-dualbound = 1033700.191883, lowerbound=977976.191883, norm of subgrad 989.858673	dualbound = 1033700.191883, lowerbound=977976.191883, norm of subgrad 54.858914	 stepsize= 1.000000 
-dualbound = 1034902.788417, lowerbound=977934.788417, norm of subgrad 989.828666	dualbound = 1034902.788417, lowerbound=977934.788417, norm of subgrad 55.032686	 stepsize= 1.000000 
-dualbound = 1036056.968108, lowerbound=978063.968108, norm of subgrad 989.905535	dualbound = 1036056.968108, lowerbound=978063.968108, norm of subgrad 54.801275	 stepsize= 1.000000 
-dualbound = 1037223.153018, lowerbound=978219.153018, norm of subgrad 989.988461	dualbound = 1037223.153018, lowerbound=978219.153018, norm of subgrad 54.992590	 stepsize= 1.000000 
-dualbound = 1038383.492442, lowerbound=978739.492442, norm of subgrad 990.253247	dualbound = 1038383.492442, lowerbound=978739.492442, norm of subgrad 54.975808	 stepsize= 1.000000 
-dualbound = 1039549.591025, lowerbound=978488.591025, norm of subgrad 990.108878	dualbound = 1039549.591025, lowerbound=978488.591025, norm of subgrad 54.709218	 stepsize= 1.000000 
-dualbound = 1040674.026325, lowerbound=978510.026325, norm of subgrad 990.137882	dualbound = 1040674.026325, lowerbound=978510.026325, norm of subgrad 54.657436	 stepsize= 1.000000 
-dualbound = 1041821.355711, lowerbound=979190.355711, norm of subgrad 990.477842	dualbound = 1041821.355711, lowerbound=979190.355711, norm of subgrad 54.802640	 stepsize= 1.000000 
-dualbound = 1042941.969040, lowerbound=978815.969040, norm of subgrad 990.285297	dualbound = 1042941.969040, lowerbound=978815.969040, norm of subgrad 54.494159	 stepsize= 1.000000 
-dualbound = 1044101.835645, lowerbound=979324.835645, norm of subgrad 990.523516	dualbound = 1044101.835645, lowerbound=979324.835645, norm of subgrad 54.514829	 stepsize= 1.000000 
-dualbound = 1045211.951977, lowerbound=979574.951977, norm of subgrad 990.649258	dualbound = 1045211.951977, lowerbound=979574.951977, norm of subgrad 54.047353	 stepsize= 1.000000 
-dualbound = 1046323.296423, lowerbound=979541.296423, norm of subgrad 990.647917	dualbound = 1046323.296423, lowerbound=979541.296423, norm of subgrad 54.344682	 stepsize= 1.000000 
-dualbound = 1047423.204365, lowerbound=979990.204365, norm of subgrad 990.894648	dualbound = 1047423.204365, lowerbound=979990.204365, norm of subgrad 54.606849	 stepsize= 1.000000 
-dualbound = 1048530.457882, lowerbound=979341.457882, norm of subgrad 990.536954	dualbound = 1048530.457882, lowerbound=979341.457882, norm of subgrad 54.122579	 stepsize= 1.000000 
-dualbound = 1049635.678120, lowerbound=980178.678120, norm of subgrad 990.990251	dualbound = 1049635.678120, lowerbound=980178.678120, norm of subgrad 54.664616	 stepsize= 1.000000 
-dualbound = 1050734.873797, lowerbound=980196.873797, norm of subgrad 990.977736	dualbound = 1050734.873797, lowerbound=980196.873797, norm of subgrad 54.214349	 stepsize= 1.000000 
-dualbound = 1051845.841636, lowerbound=979921.841636, norm of subgrad 990.820792	dualbound = 1051845.841636, lowerbound=979921.841636, norm of subgrad 53.990442	 stepsize= 1.000000 
-dualbound = 1052936.752472, lowerbound=980840.752472, norm of subgrad 991.287926	dualbound = 1052936.752472, lowerbound=980840.752472, norm of subgrad 53.869387	 stepsize= 1.000000 
-dualbound = 1054015.878602, lowerbound=980421.878602, norm of subgrad 991.068049	dualbound = 1054015.878602, lowerbound=980421.878602, norm of subgrad 53.601550	 stepsize= 1.000000 
-dualbound = 1055091.248807, lowerbound=980133.248807, norm of subgrad 990.936047	dualbound = 1055091.248807, lowerbound=980133.248807, norm of subgrad 53.817936	 stepsize= 1.000000 
-dualbound = 1056163.624709, lowerbound=981684.624709, norm of subgrad 991.727596	dualbound = 1056163.624709, lowerbound=981684.624709, norm of subgrad 53.957167	 stepsize= 1.000000 
-dualbound = 1057225.165899, lowerbound=981138.165899, norm of subgrad 991.456588	dualbound = 1057225.165899, lowerbound=981138.165899, norm of subgrad 53.940163	 stepsize= 1.000000 
-dualbound = 1058261.501422, lowerbound=981396.501422, norm of subgrad 991.595432	dualbound = 1058261.501422, lowerbound=981396.501422, norm of subgrad 53.864047	 stepsize= 1.000000 
-dualbound = 1059335.032886, lowerbound=981917.032886, norm of subgrad 991.816532	dualbound = 1059335.032886, lowerbound=981917.032886, norm of subgrad 53.446529	 stepsize= 1.000000 
-dualbound = 1060371.821032, lowerbound=981817.821032, norm of subgrad 991.781640	dualbound = 1060371.821032, lowerbound=981817.821032, norm of subgrad 53.383407	 stepsize= 1.000000 
-dualbound = 1061415.515498, lowerbound=981258.515498, norm of subgrad 991.504672	dualbound = 1061415.515498, lowerbound=981258.515498, norm of subgrad 53.541521	 stepsize= 1.000000 
-dualbound = 1062438.708109, lowerbound=982762.708109, norm of subgrad 992.256372	dualbound = 1062438.708109, lowerbound=982762.708109, norm of subgrad 53.227743	 stepsize= 1.000000 
-dualbound = 1063493.698029, lowerbound=981972.698029, norm of subgrad 991.850139	dualbound = 1063493.698029, lowerbound=981972.698029, norm of subgrad 53.375930	 stepsize= 1.000000 
-dualbound = 1064505.349062, lowerbound=982651.349062, norm of subgrad 992.205800	dualbound = 1064505.349062, lowerbound=982651.349062, norm of subgrad 53.222655	 stepsize= 1.000000 
-dualbound = 1065545.672395, lowerbound=983124.672395, norm of subgrad 992.442277	dualbound = 1065545.672395, lowerbound=983124.672395, norm of subgrad 53.453937	 stepsize= 1.000000 
-dualbound = 1066531.698884, lowerbound=982360.698884, norm of subgrad 992.073434	dualbound = 1066531.698884, lowerbound=982360.698884, norm of subgrad 53.244967	 stepsize= 1.000000 
-dualbound = 1067577.018327, lowerbound=982620.018327, norm of subgrad 992.167334	dualbound = 1067577.018327, lowerbound=982620.018327, norm of subgrad 53.116094	 stepsize= 1.000000 
-dualbound = 1068586.181281, lowerbound=983378.181281, norm of subgrad 992.533214	dualbound = 1068586.181281, lowerbound=983378.181281, norm of subgrad 52.470591	 stepsize= 1.000000 
-dualbound = 1069606.447685, lowerbound=983427.447685, norm of subgrad 992.593798	dualbound = 1069606.447685, lowerbound=983427.447685, norm of subgrad 53.247220	 stepsize= 1.000000 
-dualbound = 1070585.736144, lowerbound=983572.736144, norm of subgrad 992.679070	dualbound = 1070585.736144, lowerbound=983572.736144, norm of subgrad 53.087555	 stepsize= 1.000000 
-dualbound = 1071572.509320, lowerbound=983622.509320, norm of subgrad 992.701621	dualbound = 1071572.509320, lowerbound=983622.509320, norm of subgrad 53.110952	 stepsize= 1.000000 
-dualbound = 1072602.580053, lowerbound=983332.580053, norm of subgrad 992.539460	dualbound = 1072602.580053, lowerbound=983332.580053, norm of subgrad 53.217203	 stepsize= 1.000000 
-dualbound = 1073597.035720, lowerbound=984095.035720, norm of subgrad 992.898804	dualbound = 1073597.035720, lowerbound=984095.035720, norm of subgrad 52.416178	 stepsize= 1.000000 
-dualbound = 1074599.211372, lowerbound=983607.211372, norm of subgrad 992.681324	dualbound = 1074599.211372, lowerbound=983607.211372, norm of subgrad 53.020521	 stepsize= 1.000000 
-dualbound = 1075557.274163, lowerbound=984328.274163, norm of subgrad 993.070629	dualbound = 1075557.274163, lowerbound=984328.274163, norm of subgrad 53.094847	 stepsize= 1.000000 
-dualbound = 1076569.506218, lowerbound=984284.506218, norm of subgrad 993.017878	dualbound = 1076569.506218, lowerbound=984284.506218, norm of subgrad 53.030482	 stepsize= 1.000000 
-dualbound = 1077536.670996, lowerbound=984645.670996, norm of subgrad 993.227905	dualbound = 1077536.670996, lowerbound=984645.670996, norm of subgrad 53.133462	 stepsize= 1.000000 
-dualbound = 1078521.492361, lowerbound=984021.492361, norm of subgrad 992.887956	dualbound = 1078521.492361, lowerbound=984021.492361, norm of subgrad 52.818760	 stepsize= 1.000000 
-dualbound = 1079523.393463, lowerbound=984945.393463, norm of subgrad 993.339012	dualbound = 1079523.393463, lowerbound=984945.393463, norm of subgrad 52.715283	 stepsize= 1.000000 
-dualbound = 1080472.426981, lowerbound=984944.426981, norm of subgrad 993.371747	dualbound = 1080472.426981, lowerbound=984944.426981, norm of subgrad 52.839696	 stepsize= 1.000000 
-dualbound = 1081457.027186, lowerbound=984797.027186, norm of subgrad 993.278927	dualbound = 1081457.027186, lowerbound=984797.027186, norm of subgrad 52.826132	 stepsize= 1.000000 
-dualbound = 1082419.860922, lowerbound=984776.860922, norm of subgrad 993.264749	dualbound = 1082419.860922, lowerbound=984776.860922, norm of subgrad 52.543636	 stepsize= 1.000000 
-dualbound = 1083384.625939, lowerbound=986185.625939, norm of subgrad 993.972648	dualbound = 1083384.625939, lowerbound=986185.625939, norm of subgrad 52.542983	 stepsize= 1.000000 
-dualbound = 1084346.243497, lowerbound=985566.243497, norm of subgrad 993.652979	dualbound = 1084346.243497, lowerbound=985566.243497, norm of subgrad 52.360458	 stepsize= 1.000000 
-dualbound = 1085317.089440, lowerbound=986020.089440, norm of subgrad 993.884344	dualbound = 1085317.089440, lowerbound=986020.089440, norm of subgrad 52.505675	 stepsize= 1.000000 
-dualbound = 1086233.685542, lowerbound=987127.685542, norm of subgrad 994.451450	dualbound = 1086233.685542, lowerbound=987127.685542, norm of subgrad 52.178502	 stepsize= 1.000000 
-dualbound = 1087198.623034, lowerbound=985254.623034, norm of subgrad 993.471501	dualbound = 1087198.623034, lowerbound=985254.623034, norm of subgrad 51.922418	 stepsize= 1.000000 
-dualbound = 1088167.034263, lowerbound=987224.034263, norm of subgrad 994.491344	dualbound = 1088167.034263, lowerbound=987224.034263, norm of subgrad 52.511058	 stepsize= 1.000000 
-dualbound = 1089074.693755, lowerbound=986819.693755, norm of subgrad 994.296582	dualbound = 1089074.693755, lowerbound=986819.693755, norm of subgrad 52.092797	 stepsize= 1.000000 
-dualbound = 1090008.490274, lowerbound=986935.490274, norm of subgrad 994.352800	dualbound = 1090008.490274, lowerbound=986935.490274, norm of subgrad 52.304842	 stepsize= 1.000000 
-dualbound = 1090945.545959, lowerbound=987014.545959, norm of subgrad 994.364896	dualbound = 1090945.545959, lowerbound=987014.545959, norm of subgrad 51.807873	 stepsize= 1.000000 
-dualbound = 1091890.434624, lowerbound=987321.434624, norm of subgrad 994.520706	dualbound = 1091890.434624, lowerbound=987321.434624, norm of subgrad 51.912317	 stepsize= 1.000000 
-dualbound = 1092826.257340, lowerbound=986547.257340, norm of subgrad 994.167117	dualbound = 1092826.257340, lowerbound=986547.257340, norm of subgrad 52.505454	 stepsize= 1.000000 
-dualbound = 1093698.702147, lowerbound=988304.702147, norm of subgrad 995.045578	dualbound = 1093698.702147, lowerbound=988304.702147, norm of subgrad 51.801977	 stepsize= 1.000000 
-dualbound = 1094630.538535, lowerbound=987803.538535, norm of subgrad 994.777633	dualbound = 1094630.538535, lowerbound=987803.538535, norm of subgrad 52.065693	 stepsize= 1.000000 
-dualbound = 1095571.111143, lowerbound=988484.111143, norm of subgrad 995.080957	dualbound = 1095571.111143, lowerbound=988484.111143, norm of subgrad 51.405959	 stepsize= 1.000000 
-dualbound = 1096485.337037, lowerbound=987551.337037, norm of subgrad 994.648348	dualbound = 1096485.337037, lowerbound=987551.337037, norm of subgrad 51.848104	 stepsize= 1.000000 
-dualbound = 1097340.540364, lowerbound=988518.540364, norm of subgrad 995.163575	dualbound = 1097340.540364, lowerbound=988518.540364, norm of subgrad 51.838242	 stepsize= 1.000000 
-dualbound = 1098259.720538, lowerbound=988798.720538, norm of subgrad 995.264648	dualbound = 1098259.720538, lowerbound=988798.720538, norm of subgrad 51.693135	 stepsize= 1.000000 
-dualbound = 1099175.240105, lowerbound=988625.240105, norm of subgrad 995.174477	dualbound = 1099175.240105, lowerbound=988625.240105, norm of subgrad 51.599608	 stepsize= 1.000000 
-dualbound = 1100064.748000, lowerbound=988784.748000, norm of subgrad 995.280236	dualbound = 1100064.748000, lowerbound=988784.748000, norm of subgrad 51.841180	 stepsize= 1.000000 
-dualbound = 1100943.272157, lowerbound=988955.272157, norm of subgrad 995.346810	dualbound = 1100943.272157, lowerbound=988955.272157, norm of subgrad 51.366567	 stepsize= 1.000000 
-dualbound = 1101836.072402, lowerbound=988524.072402, norm of subgrad 995.129174	dualbound = 1101836.072402, lowerbound=988524.072402, norm of subgrad 51.485923	 stepsize= 1.000000 
-dualbound = 1102742.331831, lowerbound=989817.331831, norm of subgrad 995.781769	dualbound = 1102742.331831, lowerbound=989817.331831, norm of subgrad 51.674553	 stepsize= 1.000000 
-dualbound = 1103609.480702, lowerbound=989674.480702, norm of subgrad 995.718073	dualbound = 1103609.480702, lowerbound=989674.480702, norm of subgrad 51.450451	 stepsize= 1.000000 
-dualbound = 1104501.358645, lowerbound=989306.358645, norm of subgrad 995.504073	dualbound = 1104501.358645, lowerbound=989306.358645, norm of subgrad 51.126098	 stepsize= 1.000000 
-dualbound = 1105352.839006, lowerbound=989555.839006, norm of subgrad 995.673560	dualbound = 1105352.839006, lowerbound=989555.839006, norm of subgrad 51.589537	 stepsize= 1.000000 
-dualbound = 1106233.500403, lowerbound=990218.500403, norm of subgrad 995.973142	dualbound = 1106233.500403, lowerbound=990218.500403, norm of subgrad 51.231449	 stepsize= 1.000000 
-dualbound = 1107131.222303, lowerbound=990005.222303, norm of subgrad 995.875104	dualbound = 1107131.222303, lowerbound=990005.222303, norm of subgrad 51.572492	 stepsize= 1.000000 
-dualbound = 1107993.663652, lowerbound=989605.663652, norm of subgrad 995.662927	dualbound = 1107993.663652, lowerbound=989605.663652, norm of subgrad 51.004327	 stepsize= 1.000000 
-dualbound = 1108849.729054, lowerbound=990345.729054, norm of subgrad 996.058095	dualbound = 1108849.729054, lowerbound=990345.729054, norm of subgrad 51.401025	 stepsize= 1.000000 
-dualbound = 1109704.986969, lowerbound=990594.986969, norm of subgrad 996.162631	dualbound = 1109704.986969, lowerbound=990594.986969, norm of subgrad 50.992724	 stepsize= 1.000000 
-dualbound = 1110594.188502, lowerbound=989962.188502, norm of subgrad 995.847473	dualbound = 1110594.188502, lowerbound=989962.188502, norm of subgrad 51.373160	 stepsize= 1.000000 
-dualbound = 1111444.374674, lowerbound=991403.374674, norm of subgrad 996.564787	dualbound = 1111444.374674, lowerbound=991403.374674, norm of subgrad 50.874219	 stepsize= 1.000000 
-dualbound = 1112283.517238, lowerbound=990004.517238, norm of subgrad 995.845629	dualbound = 1112283.517238, lowerbound=990004.517238, norm of subgrad 50.429580	 stepsize= 1.000000 
-dualbound = 1113188.046824, lowerbound=991871.046824, norm of subgrad 996.802411	dualbound = 1113188.046824, lowerbound=991871.046824, norm of subgrad 51.463867	 stepsize= 1.000000 
-dualbound = 1113971.889133, lowerbound=991450.889133, norm of subgrad 996.619230	dualbound = 1113971.889133, lowerbound=991450.889133, norm of subgrad 50.821672	 stepsize= 1.000000 
-dualbound = 1114837.767399, lowerbound=992142.767399, norm of subgrad 996.927664	dualbound = 1114837.767399, lowerbound=992142.767399, norm of subgrad 50.871193	 stepsize= 1.000000 
-dualbound = 1115681.237006, lowerbound=992243.237006, norm of subgrad 997.011152	dualbound = 1115681.237006, lowerbound=992243.237006, norm of subgrad 51.297852	 stepsize= 1.000000 
-dualbound = 1116516.370867, lowerbound=992858.370867, norm of subgrad 997.278482	dualbound = 1116516.370867, lowerbound=992858.370867, norm of subgrad 50.409660	 stepsize= 1.000000 
-dualbound = 1117375.706498, lowerbound=991613.706498, norm of subgrad 996.622148	dualbound = 1117375.706498, lowerbound=991613.706498, norm of subgrad 50.013355	 stepsize= 1.000000 
-dualbound = 1118208.172786, lowerbound=992502.172786, norm of subgrad 997.148019	dualbound = 1118208.172786, lowerbound=992502.172786, norm of subgrad 51.327052	 stepsize= 1.000000 
-dualbound = 1118992.876915, lowerbound=992395.876915, norm of subgrad 997.089202	dualbound = 1118992.876915, lowerbound=992395.876915, norm of subgrad 50.751395	 stepsize= 1.000000 
-dualbound = 1119875.216847, lowerbound=993089.216847, norm of subgrad 997.384187	dualbound = 1119875.216847, lowerbound=993089.216847, norm of subgrad 50.678792	 stepsize= 1.000000 
-dualbound = 1120681.626269, lowerbound=992462.626269, norm of subgrad 997.097601	dualbound = 1120681.626269, lowerbound=992462.626269, norm of subgrad 50.471868	 stepsize= 1.000000 
-dualbound = 1121504.559198, lowerbound=993583.559198, norm of subgrad 997.649517	dualbound = 1121504.559198, lowerbound=993583.559198, norm of subgrad 50.437416	 stepsize= 1.000000 
-dualbound = 1122328.137505, lowerbound=993287.137505, norm of subgrad 997.524003	dualbound = 1122328.137505, lowerbound=993287.137505, norm of subgrad 50.897724	 stepsize= 1.000000 
-dualbound = 1123139.128313, lowerbound=993210.128313, norm of subgrad 997.482896	dualbound = 1123139.128313, lowerbound=993210.128313, norm of subgrad 50.724657	 stepsize= 1.000000 
-dualbound = 1123979.347129, lowerbound=993837.347129, norm of subgrad 997.768183	dualbound = 1123979.347129, lowerbound=993837.347129, norm of subgrad 50.440250	 stepsize= 1.000000 
-dualbound = 1124775.547221, lowerbound=993312.547221, norm of subgrad 997.501151	dualbound = 1124775.547221, lowerbound=993312.547221, norm of subgrad 49.921940	 stepsize= 1.000000 
-dualbound = 1125605.117530, lowerbound=994207.117530, norm of subgrad 997.969497	dualbound = 1125605.117530, lowerbound=994207.117530, norm of subgrad 50.651459	 stepsize= 1.000000 
-dualbound = 1126390.147443, lowerbound=994262.147443, norm of subgrad 998.030635	dualbound = 1126390.147443, lowerbound=994262.147443, norm of subgrad 50.872683	 stepsize= 1.000000 
-dualbound = 1127186.714293, lowerbound=994790.714293, norm of subgrad 998.253332	dualbound = 1127186.714293, lowerbound=994790.714293, norm of subgrad 50.155427	 stepsize= 1.000000 
-dualbound = 1128027.859497, lowerbound=992913.859497, norm of subgrad 997.317833	dualbound = 1128027.859497, lowerbound=992913.859497, norm of subgrad 50.696600	 stepsize= 1.000000 
-dualbound = 1128812.429383, lowerbound=995639.429383, norm of subgrad 998.712886	dualbound = 1128812.429383, lowerbound=995639.429383, norm of subgrad 50.720508	 stepsize= 1.000000 
-dualbound = 1129622.392835, lowerbound=994512.392835, norm of subgrad 998.133454	dualbound = 1129622.392835, lowerbound=994512.392835, norm of subgrad 50.675077	 stepsize= 1.000000 
-dualbound = 1130411.614165, lowerbound=994032.614165, norm of subgrad 997.871542	dualbound = 1130411.614165, lowerbound=994032.614165, norm of subgrad 50.042195	 stepsize= 1.000000 
-dualbound = 1131255.951182, lowerbound=994589.951182, norm of subgrad 998.165793	dualbound = 1131255.951182, lowerbound=994589.951182, norm of subgrad 50.885529	 stepsize= 1.000000 
-dualbound = 1132009.356403, lowerbound=995020.356403, norm of subgrad 998.404405	dualbound = 1132009.356403, lowerbound=995020.356403, norm of subgrad 50.442098	 stepsize= 1.000000 
-dualbound = 1132823.343546, lowerbound=995149.343546, norm of subgrad 998.426935	dualbound = 1132823.343546, lowerbound=995149.343546, norm of subgrad 50.209433	 stepsize= 1.000000 
-dualbound = 1133619.227069, lowerbound=994938.227069, norm of subgrad 998.343742	dualbound = 1133619.227069, lowerbound=994938.227069, norm of subgrad 50.476564	 stepsize= 1.000000 
-dualbound = 1134428.203184, lowerbound=995508.203184, norm of subgrad 998.622152	dualbound = 1134428.203184, lowerbound=995508.203184, norm of subgrad 50.467575	 stepsize= 1.000000 
-dualbound = 1135200.980631, lowerbound=995761.980631, norm of subgrad 998.760222	dualbound = 1135200.980631, lowerbound=995761.980631, norm of subgrad 50.326707	 stepsize= 1.000000 
-dualbound = 1136011.539953, lowerbound=994649.539953, norm of subgrad 998.190132	dualbound = 1136011.539953, lowerbound=994649.539953, norm of subgrad 50.443625	 stepsize= 1.000000 
-dualbound = 1136791.104217, lowerbound=996439.104217, norm of subgrad 999.066116	dualbound = 1136791.104217, lowerbound=996439.104217, norm of subgrad 49.734940	 stepsize= 1.000000 
-dualbound = 1137571.914519, lowerbound=994217.914519, norm of subgrad 997.995448	dualbound = 1137571.914519, lowerbound=994217.914519, norm of subgrad 50.574799	 stepsize= 1.000000 
-dualbound = 1138362.981562, lowerbound=996572.981562, norm of subgrad 999.175651	dualbound = 1138362.981562, lowerbound=996572.981562, norm of subgrad 50.695829	 stepsize= 1.000000 
-dualbound = 1139151.072029, lowerbound=995621.072029, norm of subgrad 998.652628	dualbound = 1139151.072029, lowerbound=995621.072029, norm of subgrad 49.740230	 stepsize= 1.000000 
-dualbound = 1139970.520819, lowerbound=995856.520819, norm of subgrad 998.778014	dualbound = 1139970.520819, lowerbound=995856.520819, norm of subgrad 50.204071	 stepsize= 1.000000 
-dualbound = 1140731.883815, lowerbound=995849.883815, norm of subgrad 998.803226	dualbound = 1140731.883815, lowerbound=995849.883815, norm of subgrad 50.193256	 stepsize= 1.000000 
-dualbound = 1141480.753119, lowerbound=997715.753119, norm of subgrad 999.740843	dualbound = 1141480.753119, lowerbound=997715.753119, norm of subgrad 50.148473	 stepsize= 1.000000 
-dualbound = 1142282.275097, lowerbound=995789.275097, norm of subgrad 998.773385	dualbound = 1142282.275097, lowerbound=995789.275097, norm of subgrad 50.601601	 stepsize= 1.000000 
-dualbound = 1143040.826814, lowerbound=997211.826814, norm of subgrad 999.480278	dualbound = 1143040.826814, lowerbound=997211.826814, norm of subgrad 50.075460	 stepsize= 1.000000 
-dualbound = 1143824.970857, lowerbound=996861.970857, norm of subgrad 999.258711	dualbound = 1143824.970857, lowerbound=996861.970857, norm of subgrad 49.397814	 stepsize= 1.000000 
-dualbound = 1144598.642483, lowerbound=998354.642483, norm of subgrad 1000.058820	dualbound = 1144598.642483, lowerbound=998354.642483, norm of subgrad 50.365381	 stepsize= 1.000000 
-dualbound = 1145348.958919, lowerbound=996077.958919, norm of subgrad 998.902878	dualbound = 1145348.958919, lowerbound=996077.958919, norm of subgrad 49.792735	 stepsize= 1.000000 
-dualbound = 1146135.726400, lowerbound=998493.726400, norm of subgrad 1000.098358	dualbound = 1146135.726400, lowerbound=998493.726400, norm of subgrad 49.897570	 stepsize= 1.000000 
-dualbound = 1146884.667717, lowerbound=996625.667717, norm of subgrad 999.200514	dualbound = 1146884.667717, lowerbound=996625.667717, norm of subgrad 50.248794	 stepsize= 1.000000 
-dualbound = 1147630.024156, lowerbound=997698.024156, norm of subgrad 999.744479	dualbound = 1147630.024156, lowerbound=997698.024156, norm of subgrad 50.362252	 stepsize= 1.000000 
-dualbound = 1148413.371467, lowerbound=997363.371467, norm of subgrad 999.548084	dualbound = 1148413.371467, lowerbound=997363.371467, norm of subgrad 50.163207	 stepsize= 1.000000 
-dualbound = 1149178.644956, lowerbound=998844.644956, norm of subgrad 1000.275285	dualbound = 1149178.644956, lowerbound=998844.644956, norm of subgrad 49.711905	 stepsize= 1.000000 
-dualbound = 1149956.575394, lowerbound=997962.575394, norm of subgrad 999.845776	dualbound = 1149956.575394, lowerbound=997962.575394, norm of subgrad 50.069256	 stepsize= 1.000000 
-dualbound = 1150686.923873, lowerbound=998064.923873, norm of subgrad 999.920959	dualbound = 1150686.923873, lowerbound=998064.923873, norm of subgrad 50.073431	 stepsize= 1.000000 
-dualbound = 1151429.296929, lowerbound=998369.296929, norm of subgrad 1000.067646	dualbound = 1151429.296929, lowerbound=998369.296929, norm of subgrad 50.083661	 stepsize= 1.000000 
-dualbound = 1152218.595955, lowerbound=998483.595955, norm of subgrad 1000.112792	dualbound = 1152218.595955, lowerbound=998483.595955, norm of subgrad 50.312017	 stepsize= 1.000000 
-dualbound = 1152952.836127, lowerbound=997898.836127, norm of subgrad 999.814401	dualbound = 1152952.836127, lowerbound=997898.836127, norm of subgrad 49.641114	 stepsize= 1.000000 
-dualbound = 1153712.642475, lowerbound=999156.642475, norm of subgrad 1000.495199	dualbound = 1153712.642475, lowerbound=999156.642475, norm of subgrad 50.929425	 stepsize= 1.000000 
-dualbound = 1154452.383488, lowerbound=998587.383488, norm of subgrad 1000.202171	dualbound = 1154452.383488, lowerbound=998587.383488, norm of subgrad 50.564227	 stepsize= 1.000000 
-dualbound = 1155218.304539, lowerbound=998661.304539, norm of subgrad 1000.202632	dualbound = 1155218.304539, lowerbound=998661.304539, norm of subgrad 50.099112	 stepsize= 1.000000 
-dualbound = 1155982.941208, lowerbound=998622.941208, norm of subgrad 1000.185953	dualbound = 1155982.941208, lowerbound=998622.941208, norm of subgrad 50.136181	 stepsize= 1.000000 
-dualbound = 1156712.743321, lowerbound=999118.743321, norm of subgrad 1000.453269	dualbound = 1156712.743321, lowerbound=999118.743321, norm of subgrad 50.177705	 stepsize= 1.000000 
-dualbound = 1157476.815165, lowerbound=999386.815165, norm of subgrad 1000.548757	dualbound = 1157476.815165, lowerbound=999386.815165, norm of subgrad 49.750094	 stepsize= 1.000000 
-dualbound = 1158238.107389, lowerbound=998157.107389, norm of subgrad 999.937052	dualbound = 1158238.107389, lowerbound=998157.107389, norm of subgrad 49.782449	 stepsize= 1.000000 
-dualbound = 1158980.447410, lowerbound=999491.447410, norm of subgrad 1000.605041	dualbound = 1158980.447410, lowerbound=999491.447410, norm of subgrad 49.611894	 stepsize= 1.000000 
-dualbound = 1159714.443556, lowerbound=999805.443556, norm of subgrad 1000.772923	dualbound = 1159714.443556, lowerbound=999805.443556, norm of subgrad 49.749333	 stepsize= 1.000000 
-dualbound = 1160465.950052, lowerbound=999449.950052, norm of subgrad 1000.618784	dualbound = 1160465.950052, lowerbound=999449.950052, norm of subgrad 50.393516	 stepsize= 1.000000 
-dualbound = 1161171.992615, lowerbound=998810.992615, norm of subgrad 1000.287955	dualbound = 1161171.992615, lowerbound=998810.992615, norm of subgrad 49.709582	 stepsize= 1.000000 
-dualbound = 1161941.021366, lowerbound=999681.021366, norm of subgrad 1000.675283	dualbound = 1161941.021366, lowerbound=999681.021366, norm of subgrad 49.386524	 stepsize= 1.000000 
-dualbound = 1162671.836716, lowerbound=1000917.836716, norm of subgrad 1001.338523	dualbound = 1162671.836716, lowerbound=1000917.836716, norm of subgrad 49.918086	 stepsize= 1.000000 
-dualbound = 1163406.799988, lowerbound=999151.799988, norm of subgrad 1000.454297	dualbound = 1163406.799988, lowerbound=999151.799988, norm of subgrad 49.919568	 stepsize= 1.000000 
-dualbound = 1164142.537207, lowerbound=1000126.537207, norm of subgrad 1000.917348	dualbound = 1164142.537207, lowerbound=1000126.537207, norm of subgrad 49.444284	 stepsize= 1.000000 
-dualbound = 1164917.622798, lowerbound=1000220.622798, norm of subgrad 1000.963847	dualbound = 1164917.622798, lowerbound=1000220.622798, norm of subgrad 49.830569	 stepsize= 1.000000 
-dualbound = 1165592.661200, lowerbound=1000357.661200, norm of subgrad 1001.081746	dualbound = 1165592.661200, lowerbound=1000357.661200, norm of subgrad 49.820060	 stepsize= 1.000000 
-dualbound = 1166339.548459, lowerbound=999726.548459, norm of subgrad 1000.728009	dualbound = 1166339.548459, lowerbound=999726.548459, norm of subgrad 49.768336	 stepsize= 1.000000 
-dualbound = 1167084.140954, lowerbound=1000731.140954, norm of subgrad 1001.237804	dualbound = 1167084.140954, lowerbound=1000731.140954, norm of subgrad 49.905836	 stepsize= 1.000000 
-dualbound = 1167801.827624, lowerbound=999807.827624, norm of subgrad 1000.754129	dualbound = 1167801.827624, lowerbound=999807.827624, norm of subgrad 49.180145	 stepsize= 1.000000 
-dualbound = 1168555.428852, lowerbound=1001481.428852, norm of subgrad 1001.588952	dualbound = 1168555.428852, lowerbound=1001481.428852, norm of subgrad 49.523744	 stepsize= 1.000000 
-dualbound = 1169278.328658, lowerbound=999997.328658, norm of subgrad 1000.855299	dualbound = 1169278.328658, lowerbound=999997.328658, norm of subgrad 49.364965	 stepsize= 1.000000 
-dualbound = 1169996.896961, lowerbound=1001608.896961, norm of subgrad 1001.655578	dualbound = 1169996.896961, lowerbound=1001608.896961, norm of subgrad 49.229750	 stepsize= 1.000000 
-dualbound = 1170723.777355, lowerbound=1000306.777355, norm of subgrad 1001.051835	dualbound = 1170723.777355, lowerbound=1000306.777355, norm of subgrad 50.248188	 stepsize= 1.000000 
-dualbound = 1171400.433647, lowerbound=1001125.433647, norm of subgrad 1001.445173	dualbound = 1171400.433647, lowerbound=1001125.433647, norm of subgrad 49.433352	 stepsize= 1.000000 
-dualbound = 1172174.347737, lowerbound=1001609.347737, norm of subgrad 1001.637333	dualbound = 1172174.347737, lowerbound=1001609.347737, norm of subgrad 49.415727	 stepsize= 1.000000 
-dualbound = 1172885.147574, lowerbound=1000705.147574, norm of subgrad 1001.198356	dualbound = 1172885.147574, lowerbound=1000705.147574, norm of subgrad 49.028561	 stepsize= 1.000000 
-dualbound = 1173613.590813, lowerbound=1000452.590813, norm of subgrad 1001.093198	dualbound = 1173613.590813, lowerbound=1000452.590813, norm of subgrad 49.633086	 stepsize= 1.000000 
-dualbound = 1174317.790279, lowerbound=1001891.790279, norm of subgrad 1001.817244	dualbound = 1174317.790279, lowerbound=1001891.790279, norm of subgrad 49.499490	 stepsize= 1.000000 
-dualbound = 1175022.591990, lowerbound=1001640.591990, norm of subgrad 1001.688870	dualbound = 1175022.591990, lowerbound=1001640.591990, norm of subgrad 49.444936	 stepsize= 1.000000 
-dualbound = 1175748.838973, lowerbound=1002211.838973, norm of subgrad 1001.974470	dualbound = 1175748.838973, lowerbound=1002211.838973, norm of subgrad 49.671390	 stepsize= 1.000000 
-dualbound = 1176483.195622, lowerbound=1001361.195622, norm of subgrad 1001.544904	dualbound = 1176483.195622, lowerbound=1001361.195622, norm of subgrad 49.652358	 stepsize= 1.000000 
-dualbound = 1177170.591675, lowerbound=1004029.591675, norm of subgrad 1002.872670	dualbound = 1177170.591675, lowerbound=1004029.591675, norm of subgrad 49.105968	 stepsize= 1.000000 
-dualbound = 1177913.396164, lowerbound=1000431.396164, norm of subgrad 1001.074621	dualbound = 1177913.396164, lowerbound=1000431.396164, norm of subgrad 49.616575	 stepsize= 1.000000 
-dualbound = 1178622.703059, lowerbound=1002025.703059, norm of subgrad 1001.876092	dualbound = 1178622.703059, lowerbound=1002025.703059, norm of subgrad 49.389340	 stepsize= 1.000000 
-dualbound = 1179320.209533, lowerbound=1001810.209533, norm of subgrad 1001.746080	dualbound = 1179320.209533, lowerbound=1001810.209533, norm of subgrad 48.810926	 stepsize= 1.000000 
-dualbound = 1180038.451644, lowerbound=1003276.451644, norm of subgrad 1002.541496	dualbound = 1180038.451644, lowerbound=1003276.451644, norm of subgrad 50.311451	 stepsize= 1.000000 
-dualbound = 1180722.412154, lowerbound=1001515.412154, norm of subgrad 1001.598429	dualbound = 1180722.412154, lowerbound=1001515.412154, norm of subgrad 48.661694	 stepsize= 1.000000 
-dualbound = 1181459.612680, lowerbound=1002876.612680, norm of subgrad 1002.282701	dualbound = 1181459.612680, lowerbound=1002876.612680, norm of subgrad 49.307206	 stepsize= 1.000000 
-dualbound = 1182159.245640, lowerbound=1003520.245640, norm of subgrad 1002.605229	dualbound = 1182159.245640, lowerbound=1003520.245640, norm of subgrad 48.955418	 stepsize= 1.000000 
-dualbound = 1182870.876318, lowerbound=1002978.876318, norm of subgrad 1002.352172	dualbound = 1182870.876318, lowerbound=1002978.876318, norm of subgrad 49.422977	 stepsize= 1.000000 
-dualbound = 1183589.336457, lowerbound=1002208.336457, norm of subgrad 1001.932800	dualbound = 1183589.336457, lowerbound=1002208.336457, norm of subgrad 48.779710	 stepsize= 1.000000 
-dualbound = 1184277.192064, lowerbound=1003547.192064, norm of subgrad 1002.658063	dualbound = 1184277.192064, lowerbound=1003547.192064, norm of subgrad 49.637240	 stepsize= 1.000000 
-dualbound = 1184941.476319, lowerbound=1003527.476319, norm of subgrad 1002.654216	dualbound = 1184941.476319, lowerbound=1003527.476319, norm of subgrad 49.520544	 stepsize= 1.000000 
-dualbound = 1185665.900714, lowerbound=1002896.900714, norm of subgrad 1002.280350	dualbound = 1185665.900714, lowerbound=1002896.900714, norm of subgrad 48.922637	 stepsize= 1.000000 
-dualbound = 1186365.713707, lowerbound=1003284.713707, norm of subgrad 1002.510705	dualbound = 1186365.713707, lowerbound=1003284.713707, norm of subgrad 49.424822	 stepsize= 1.000000 
-dualbound = 1187043.684768, lowerbound=1004788.684768, norm of subgrad 1003.280462	dualbound = 1187043.684768, lowerbound=1004788.684768, norm of subgrad 49.608175	 stepsize= 1.000000 
-dualbound = 1187736.379048, lowerbound=1002036.379048, norm of subgrad 1001.854470	dualbound = 1187736.379048, lowerbound=1002036.379048, norm of subgrad 48.669233	 stepsize= 1.000000 
-dualbound = 1188480.768685, lowerbound=1005062.768685, norm of subgrad 1003.342797	dualbound = 1188480.768685, lowerbound=1005062.768685, norm of subgrad 48.768736	 stepsize= 1.000000 
-dualbound = 1189166.602457, lowerbound=1004248.602457, norm of subgrad 1002.976870	dualbound = 1189166.602457, lowerbound=1004248.602457, norm of subgrad 48.988098	 stepsize= 1.000000 
-dualbound = 1189820.206735, lowerbound=1005069.206735, norm of subgrad 1003.398329	dualbound = 1189820.206735, lowerbound=1005069.206735, norm of subgrad 48.914254	 stepsize= 1.000000 
-dualbound = 1190512.406872, lowerbound=1003120.406872, norm of subgrad 1002.426260	dualbound = 1190512.406872, lowerbound=1003120.406872, norm of subgrad 49.297060	 stepsize= 1.000000 
-dualbound = 1191219.766496, lowerbound=1005229.766496, norm of subgrad 1003.446943	dualbound = 1191219.766496, lowerbound=1005229.766496, norm of subgrad 48.819664	 stepsize= 1.000000 
-dualbound = 1191925.488108, lowerbound=1004368.488108, norm of subgrad 1003.018688	dualbound = 1191925.488108, lowerbound=1004368.488108, norm of subgrad 48.823372	 stepsize= 1.000000 
-dualbound = 1192591.720603, lowerbound=1005325.720603, norm of subgrad 1003.542585	dualbound = 1192591.720603, lowerbound=1005325.720603, norm of subgrad 49.378462	 stepsize= 1.000000 
-dualbound = 1193256.840196, lowerbound=1004127.840196, norm of subgrad 1002.955054	dualbound = 1193256.840196, lowerbound=1004127.840196, norm of subgrad 49.559253	 stepsize= 1.000000 
-dualbound = 1193962.975795, lowerbound=1004994.975795, norm of subgrad 1003.335425	dualbound = 1193962.975795, lowerbound=1004994.975795, norm of subgrad 48.919685	 stepsize= 1.000000 
-dualbound = 1194659.413611, lowerbound=1004960.413611, norm of subgrad 1003.337139	dualbound = 1194659.413611, lowerbound=1004960.413611, norm of subgrad 49.208107	 stepsize= 1.000000 
-dualbound = 1195355.480431, lowerbound=1005878.480431, norm of subgrad 1003.781092	dualbound = 1195355.480431, lowerbound=1005878.480431, norm of subgrad 48.929202	 stepsize= 1.000000 
-dualbound = 1196018.261270, lowerbound=1005346.261270, norm of subgrad 1003.526911	dualbound = 1196018.261270, lowerbound=1005346.261270, norm of subgrad 48.813736	 stepsize= 1.000000 
-dualbound = 1196712.324733, lowerbound=1005171.324733, norm of subgrad 1003.440245	dualbound = 1196712.324733, lowerbound=1005171.324733, norm of subgrad 49.143295	 stepsize= 1.000000 
-dualbound = 1197379.659284, lowerbound=1005354.659284, norm of subgrad 1003.528604	dualbound = 1197379.659284, lowerbound=1005354.659284, norm of subgrad 48.809165	 stepsize= 1.000000 
-dualbound = 1198069.533342, lowerbound=1004668.533342, norm of subgrad 1003.176721	dualbound = 1198069.533342, lowerbound=1004668.533342, norm of subgrad 48.835172	 stepsize= 1.000000 
-dualbound = 1198746.115807, lowerbound=1006297.115807, norm of subgrad 1004.023464	dualbound = 1198746.115807, lowerbound=1006297.115807, norm of subgrad 49.422489	 stepsize= 1.000000 
-dualbound = 1199420.226652, lowerbound=1005274.226652, norm of subgrad 1003.491518	dualbound = 1199420.226652, lowerbound=1005274.226652, norm of subgrad 48.939870	 stepsize= 1.000000 
-dualbound = 1200140.142981, lowerbound=1005701.142981, norm of subgrad 1003.680797	dualbound = 1200140.142981, lowerbound=1005701.142981, norm of subgrad 48.927664	 stepsize= 1.000000 
-dualbound = 1200816.846523, lowerbound=1005657.846522, norm of subgrad 1003.674173	dualbound = 1200816.846523, lowerbound=1005657.846522, norm of subgrad 48.792454	 stepsize= 1.000000 
-dualbound = 1201473.797957, lowerbound=1005463.797957, norm of subgrad 1003.628815	dualbound = 1201473.797957, lowerbound=1005463.797957, norm of subgrad 49.638205	 stepsize= 1.000000 
-dualbound = 1202140.282381, lowerbound=1006077.282381, norm of subgrad 1003.863677	dualbound = 1202140.282381, lowerbound=1006077.282381, norm of subgrad 48.285447	 stepsize= 1.000000 
-dualbound = 1202850.821500, lowerbound=1004879.821500, norm of subgrad 1003.282523	dualbound = 1202850.821500, lowerbound=1004879.821500, norm of subgrad 49.056489	 stepsize= 1.000000 
-dualbound = 1203533.203923, lowerbound=1006698.203923, norm of subgrad 1004.185841	dualbound = 1203533.203923, lowerbound=1006698.203923, norm of subgrad 48.717373	 stepsize= 1.000000 
-dualbound = 1204205.522440, lowerbound=1005661.522440, norm of subgrad 1003.678994	dualbound = 1204205.522440, lowerbound=1005661.522440, norm of subgrad 48.809000	 stepsize= 1.000000 
-dualbound = 1204878.049810, lowerbound=1007068.049810, norm of subgrad 1004.381924	dualbound = 1204878.049810, lowerbound=1007068.049810, norm of subgrad 48.862331	 stepsize= 1.000000 
-dualbound = 1205533.754733, lowerbound=1005338.754733, norm of subgrad 1003.556055	dualbound = 1205533.754733, lowerbound=1005338.754733, norm of subgrad 49.413611	 stepsize= 1.000000 
-dualbound = 1206223.744992, lowerbound=1006164.744992, norm of subgrad 1003.943597	dualbound = 1206223.744992, lowerbound=1006164.744992, norm of subgrad 49.274641	 stepsize= 1.000000 
-dualbound = 1206891.659589, lowerbound=1005978.659589, norm of subgrad 1003.823520	dualbound = 1206891.659589, lowerbound=1005978.659589, norm of subgrad 48.486231	 stepsize= 1.000000 
-dualbound = 1207582.706298, lowerbound=1007112.706298, norm of subgrad 1004.429045	dualbound = 1207582.706298, lowerbound=1007112.706298, norm of subgrad 49.558518	 stepsize= 1.000000 
-dualbound = 1208225.211936, lowerbound=1006854.211936, norm of subgrad 1004.299862	dualbound = 1208225.211936, lowerbound=1006854.211936, norm of subgrad 49.056148	 stepsize= 1.000000 
-dualbound = 1208896.546014, lowerbound=1005604.546014, norm of subgrad 1003.637159	dualbound = 1208896.546014, lowerbound=1005604.546014, norm of subgrad 48.521481	 stepsize= 1.000000 
-dualbound = 1209599.195442, lowerbound=1007250.195442, norm of subgrad 1004.416843	dualbound = 1209599.195442, lowerbound=1007250.195442, norm of subgrad 48.017178	 stepsize= 1.000000 
-dualbound = 1210281.609273, lowerbound=1008044.609273, norm of subgrad 1004.836608	dualbound = 1210281.609273, lowerbound=1008044.609273, norm of subgrad 48.315772	 stepsize= 1.000000 
-dualbound = 1210913.996506, lowerbound=1005761.996506, norm of subgrad 1003.748473	dualbound = 1210913.996506, lowerbound=1005761.996506, norm of subgrad 48.799459	 stepsize= 1.000000 
-dualbound = 1211546.876925, lowerbound=1007530.876925, norm of subgrad 1004.659583	dualbound = 1211546.876925, lowerbound=1007530.876925, norm of subgrad 49.425504	 stepsize= 1.000000 
-dualbound = 1212233.926814, lowerbound=1005975.926814, norm of subgrad 1003.846067	dualbound = 1212233.926814, lowerbound=1005975.926814, norm of subgrad 49.173671	 stepsize= 1.000000 
-dualbound = 1212932.372497, lowerbound=1007791.372497, norm of subgrad 1004.698150	dualbound = 1212932.372497, lowerbound=1007791.372497, norm of subgrad 48.222875	 stepsize= 1.000000 
-dualbound = 1213576.173867, lowerbound=1007502.173867, norm of subgrad 1004.625888	dualbound = 1213576.173867, lowerbound=1007502.173867, norm of subgrad 49.140629	 stepsize= 1.000000 
-dualbound = 1214226.732747, lowerbound=1006943.732747, norm of subgrad 1004.350403	dualbound = 1214226.732747, lowerbound=1006943.732747, norm of subgrad 49.260114	 stepsize= 1.000000 
-dualbound = 1214885.087523, lowerbound=1007217.087523, norm of subgrad 1004.454124	dualbound = 1214885.087523, lowerbound=1007217.087523, norm of subgrad 48.676018	 stepsize= 1.000000 
-dualbound = 1215594.441499, lowerbound=1007205.441499, norm of subgrad 1004.408005	dualbound = 1215594.441499, lowerbound=1007205.441499, norm of subgrad 48.366869	 stepsize= 1.000000 
-dualbound = 1216234.723975, lowerbound=1007554.723975, norm of subgrad 1004.598788	dualbound = 1216234.723975, lowerbound=1007554.723975, norm of subgrad 48.002942	 stepsize= 1.000000 
-dualbound = 1216885.493345, lowerbound=1007865.493345, norm of subgrad 1004.780819	dualbound = 1216885.493345, lowerbound=1007865.493345, norm of subgrad 48.680277	 stepsize= 1.000000 
-dualbound = 1217527.066842, lowerbound=1007896.066842, norm of subgrad 1004.799018	dualbound = 1217527.066842, lowerbound=1007896.066842, norm of subgrad 48.647441	 stepsize= 1.000000 
-dualbound = 1218187.704486, lowerbound=1007620.704486, norm of subgrad 1004.617193	dualbound = 1218187.704486, lowerbound=1007620.704486, norm of subgrad 47.912813	 stepsize= 1.000000 
-dualbound = 1218870.456939, lowerbound=1007054.456939, norm of subgrad 1004.339314	dualbound = 1218870.456939, lowerbound=1007054.456939, norm of subgrad 48.226056	 stepsize= 1.000000 
-dualbound = 1219513.162696, lowerbound=1007025.162696, norm of subgrad 1004.394426	dualbound = 1219513.162696, lowerbound=1007025.162696, norm of subgrad 49.251454	 stepsize= 1.000000 
-dualbound = 1220152.381328, lowerbound=1008261.381328, norm of subgrad 1004.977304	dualbound = 1220152.381328, lowerbound=1008261.381328, norm of subgrad 48.551196	 stepsize= 1.000000 
-dualbound = 1220825.643505, lowerbound=1008899.643505, norm of subgrad 1005.253522	dualbound = 1220825.643505, lowerbound=1008899.643505, norm of subgrad 48.044377	 stepsize= 1.000000 
-dualbound = 1221497.074018, lowerbound=1007826.074018, norm of subgrad 1004.732837	dualbound = 1221497.074018, lowerbound=1007826.074018, norm of subgrad 48.305595	 stepsize= 1.000000 
-dualbound = 1222111.197985, lowerbound=1009360.197985, norm of subgrad 1005.528815	dualbound = 1222111.197985, lowerbound=1009360.197985, norm of subgrad 48.395495	 stepsize= 1.000000 
-dualbound = 1222767.723271, lowerbound=1007811.723271, norm of subgrad 1004.731170	dualbound = 1222767.723271, lowerbound=1007811.723271, norm of subgrad 48.265156	 stepsize= 1.000000 
-dualbound = 1223423.029708, lowerbound=1010438.029708, norm of subgrad 1006.052697	dualbound = 1223423.029708, lowerbound=1010438.029708, norm of subgrad 48.572692	 stepsize= 1.000000 
-dualbound = 1224056.128007, lowerbound=1008122.128007, norm of subgrad 1004.878663	dualbound = 1224056.128007, lowerbound=1008122.128007, norm of subgrad 47.875863	 stepsize= 1.000000 
-dualbound = 1224730.512814, lowerbound=1009420.512814, norm of subgrad 1005.533447	dualbound = 1224730.512814, lowerbound=1009420.512814, norm of subgrad 48.491080	 stepsize= 1.000000 
-dualbound = 1225347.002141, lowerbound=1010203.002141, norm of subgrad 1005.941848	dualbound = 1225347.002141, lowerbound=1010203.002141, norm of subgrad 48.295852	 stepsize= 1.000000 
-dualbound = 1226005.738353, lowerbound=1009227.738353, norm of subgrad 1005.430623	dualbound = 1226005.738353, lowerbound=1009227.738353, norm of subgrad 48.184398	 stepsize= 1.000000 
-dualbound = 1226658.563617, lowerbound=1010312.563617, norm of subgrad 1005.969465	dualbound = 1226658.563617, lowerbound=1010312.563617, norm of subgrad 48.112631	 stepsize= 1.000000 
-dualbound = 1227294.845334, lowerbound=1009836.845334, norm of subgrad 1005.732989	dualbound = 1227294.845334, lowerbound=1009836.845334, norm of subgrad 47.940398	 stepsize= 1.000000 
-dualbound = 1227926.227145, lowerbound=1009986.227145, norm of subgrad 1005.811725	dualbound = 1227926.227145, lowerbound=1009986.227145, norm of subgrad 47.983141	 stepsize= 1.000000 
-dualbound = 1228562.558133, lowerbound=1009394.558133, norm of subgrad 1005.522033	dualbound = 1228562.558133, lowerbound=1009394.558133, norm of subgrad 48.128276	 stepsize= 1.000000 
-dualbound = 1229192.655093, lowerbound=1010950.655093, norm of subgrad 1006.282095	dualbound = 1229192.655093, lowerbound=1010950.655093, norm of subgrad 47.781764	 stepsize= 1.000000 
-dualbound = 1229837.530328, lowerbound=1009442.530328, norm of subgrad 1005.541909	dualbound = 1229837.530328, lowerbound=1009442.530328, norm of subgrad 48.133930	 stepsize= 1.000000 
-dualbound = 1230461.994996, lowerbound=1010497.994996, norm of subgrad 1006.108342	dualbound = 1230461.994996, lowerbound=1010497.994996, norm of subgrad 48.790006	 stepsize= 1.000000 
-dualbound = 1231104.077386, lowerbound=1011237.077386, norm of subgrad 1006.436326	dualbound = 1231104.077386, lowerbound=1011237.077386, norm of subgrad 48.156852	 stepsize= 1.000000 
-dualbound = 1231745.447264, lowerbound=1009790.447264, norm of subgrad 1005.722848	dualbound = 1231745.447264, lowerbound=1009790.447264, norm of subgrad 48.263546	 stepsize= 1.000000 
-dualbound = 1232380.813697, lowerbound=1009833.813697, norm of subgrad 1005.745402	dualbound = 1232380.813697, lowerbound=1009833.813697, norm of subgrad 48.222053	 stepsize= 1.000000 
-dualbound = 1233007.341772, lowerbound=1010958.341772, norm of subgrad 1006.302808	dualbound = 1233007.341772, lowerbound=1010958.341772, norm of subgrad 48.099148	 stepsize= 1.000000 
-dualbound = 1233680.298410, lowerbound=1010733.298410, norm of subgrad 1006.180550	dualbound = 1233680.298410, lowerbound=1010733.298410, norm of subgrad 48.362761	 stepsize= 1.000000 
-dualbound = 1234284.762097, lowerbound=1011653.762097, norm of subgrad 1006.684043	dualbound = 1234284.762097, lowerbound=1011653.762097, norm of subgrad 48.615468	 stepsize= 1.000000 
-dualbound = 1234891.229555, lowerbound=1011139.229555, norm of subgrad 1006.436898	dualbound = 1234891.229555, lowerbound=1011139.229555, norm of subgrad 48.810526	 stepsize= 1.000000 
-dualbound = 1235541.173036, lowerbound=1010703.173036, norm of subgrad 1006.189432	dualbound = 1235541.173036, lowerbound=1010703.173036, norm of subgrad 48.620402	 stepsize= 1.000000 
-dualbound = 1236167.420756, lowerbound=1010998.420756, norm of subgrad 1006.336137	dualbound = 1236167.420756, lowerbound=1010998.420756, norm of subgrad 48.376107	 stepsize= 1.000000 
-dualbound = 1236810.885040, lowerbound=1012215.885040, norm of subgrad 1006.901626	dualbound = 1236810.885040, lowerbound=1012215.885040, norm of subgrad 47.733262	 stepsize= 1.000000 
-dualbound = 1237447.131811, lowerbound=1010657.131811, norm of subgrad 1006.108907	dualbound = 1237447.131811, lowerbound=1010657.131811, norm of subgrad 47.267820	 stepsize= 1.000000 
-dualbound = 1238096.590542, lowerbound=1011064.590542, norm of subgrad 1006.342680	dualbound = 1238096.590542, lowerbound=1011064.590542, norm of subgrad 48.067231	 stepsize= 1.000000 
-dualbound = 1238688.405603, lowerbound=1011455.405603, norm of subgrad 1006.538328	dualbound = 1238688.405603, lowerbound=1011455.405603, norm of subgrad 47.495421	 stepsize= 1.000000 
-dualbound = 1239321.387211, lowerbound=1011937.387211, norm of subgrad 1006.782195	dualbound = 1239321.387211, lowerbound=1011937.387211, norm of subgrad 48.020637	 stepsize= 1.000000 
-dualbound = 1239958.381613, lowerbound=1010500.381613, norm of subgrad 1006.067782	dualbound = 1239958.381613, lowerbound=1010500.381613, norm of subgrad 48.051997	 stepsize= 1.000000 
-dualbound = 1240569.031471, lowerbound=1013511.031471, norm of subgrad 1007.556466	dualbound = 1240569.031471, lowerbound=1013511.031471, norm of subgrad 47.640842	 stepsize= 1.000000 
-dualbound = 1241234.649338, lowerbound=1011362.649338, norm of subgrad 1006.482811	dualbound = 1241234.649338, lowerbound=1011362.649338, norm of subgrad 48.068887	 stepsize= 1.000000 
-dualbound = 1241819.186582, lowerbound=1011517.186582, norm of subgrad 1006.584913	dualbound = 1241819.186582, lowerbound=1011517.186582, norm of subgrad 47.754971	 stepsize= 1.000000 
-dualbound = 1242429.779902, lowerbound=1011264.779902, norm of subgrad 1006.464495	dualbound = 1242429.779902, lowerbound=1011264.779902, norm of subgrad 48.131002	 stepsize= 1.000000 
-dualbound = 1243086.047588, lowerbound=1011532.047588, norm of subgrad 1006.574412	dualbound = 1243086.047588, lowerbound=1011532.047588, norm of subgrad 48.127619	 stepsize= 1.000000 
-dualbound = 1243686.352927, lowerbound=1011775.352927, norm of subgrad 1006.670429	dualbound = 1243686.352927, lowerbound=1011775.352927, norm of subgrad 47.013885	 stepsize= 1.000000 
-dualbound = 1244330.077974, lowerbound=1013428.077974, norm of subgrad 1007.521254	dualbound = 1244330.077974, lowerbound=1013428.077974, norm of subgrad 48.111590	 stepsize= 1.000000 
-dualbound = 1244932.048590, lowerbound=1011646.048590, norm of subgrad 1006.635013	dualbound = 1244932.048590, lowerbound=1011646.048590, norm of subgrad 47.644209	 stepsize= 1.000000 
-dualbound = 1245542.770671, lowerbound=1011758.770671, norm of subgrad 1006.707887	dualbound = 1245542.770671, lowerbound=1011758.770671, norm of subgrad 48.090769	 stepsize= 1.000000 
-dualbound = 1246168.123983, lowerbound=1012247.123983, norm of subgrad 1006.967787	dualbound = 1246168.123983, lowerbound=1012247.123983, norm of subgrad 48.604046	 stepsize= 1.000000 
-dualbound = 1246766.749038, lowerbound=1011663.749038, norm of subgrad 1006.656719	dualbound = 1246766.749038, lowerbound=1011663.749038, norm of subgrad 47.881364	 stepsize= 1.000000 
-dualbound = 1247413.474914, lowerbound=1012496.474914, norm of subgrad 1007.073222	dualbound = 1247413.474914, lowerbound=1012496.474914, norm of subgrad 48.443017	 stepsize= 1.000000 
-dualbound = 1248011.005965, lowerbound=1011528.005965, norm of subgrad 1006.601712	dualbound = 1248011.005965, lowerbound=1011528.005965, norm of subgrad 48.130355	 stepsize= 1.000000 
-dualbound = 1248632.899619, lowerbound=1014224.899619, norm of subgrad 1007.934968	dualbound = 1248632.899619, lowerbound=1014224.899619, norm of subgrad 48.268972	 stepsize= 1.000000 
-dualbound = 1249248.621933, lowerbound=1011503.621933, norm of subgrad 1006.596057	dualbound = 1249248.621933, lowerbound=1011503.621933, norm of subgrad 48.453300	 stepsize= 1.000000 
-dualbound = 1249856.793179, lowerbound=1012704.793179, norm of subgrad 1007.163241	dualbound = 1249856.793179, lowerbound=1012704.793179, norm of subgrad 47.761608	 stepsize= 1.000000 
-dualbound = 1250515.641069, lowerbound=1011114.641069, norm of subgrad 1006.343699	dualbound = 1250515.641069, lowerbound=1011114.641069, norm of subgrad 47.663906	 stepsize= 1.000000 
-dualbound = 1251109.992900, lowerbound=1013750.992900, norm of subgrad 1007.679509	dualbound = 1251109.992900, lowerbound=1013750.992900, norm of subgrad 47.553673	 stepsize= 1.000000 
-dualbound = 1251703.345639, lowerbound=1013717.345639, norm of subgrad 1007.691096	dualbound = 1251703.345639, lowerbound=1013717.345639, norm of subgrad 48.138890	 stepsize= 1.000000 
-dualbound = 1252318.379192, lowerbound=1014130.379192, norm of subgrad 1007.870219	dualbound = 1252318.379192, lowerbound=1014130.379192, norm of subgrad 47.822940	 stepsize= 1.000000 
-dualbound = 1252906.557180, lowerbound=1013076.557180, norm of subgrad 1007.338353	dualbound = 1252906.557180, lowerbound=1013076.557180, norm of subgrad 47.351642	 stepsize= 1.000000 
-dualbound = 1253538.790479, lowerbound=1013423.790479, norm of subgrad 1007.509697	dualbound = 1253538.790479, lowerbound=1013423.790479, norm of subgrad 47.793653	 stepsize= 1.000000 
-dualbound = 1254147.983885, lowerbound=1013660.983885, norm of subgrad 1007.639809	dualbound = 1254147.983885, lowerbound=1013660.983885, norm of subgrad 47.814155	 stepsize= 1.000000 
-dualbound = 1254737.922930, lowerbound=1014066.922930, norm of subgrad 1007.830305	dualbound = 1254737.922930, lowerbound=1014066.922930, norm of subgrad 47.380788	 stepsize= 1.000000 
-dualbound = 1255352.655734, lowerbound=1014877.655734, norm of subgrad 1008.216572	dualbound = 1255352.655734, lowerbound=1014877.655734, norm of subgrad 47.304681	 stepsize= 1.000000 
-dualbound = 1255961.135796, lowerbound=1013147.135796, norm of subgrad 1007.355020	dualbound = 1255961.135796, lowerbound=1013147.135796, norm of subgrad 47.174994	 stepsize= 1.000000 
-dualbound = 1256561.016656, lowerbound=1014634.016656, norm of subgrad 1008.120537	dualbound = 1256561.016656, lowerbound=1014634.016656, norm of subgrad 47.674740	 stepsize= 1.000000 
-dualbound = 1257129.930773, lowerbound=1014619.930773, norm of subgrad 1008.101151	dualbound = 1257129.930773, lowerbound=1014619.930773, norm of subgrad 47.084117	 stepsize= 1.000000 
-dualbound = 1257776.462930, lowerbound=1014459.462930, norm of subgrad 1008.041895	dualbound = 1257776.462930, lowerbound=1014459.462930, norm of subgrad 48.327344	 stepsize= 1.000000 
-dualbound = 1258344.378132, lowerbound=1013255.378132, norm of subgrad 1007.454901	dualbound = 1258344.378132, lowerbound=1013255.378132, norm of subgrad 47.727510	 stepsize= 1.000000 
-dualbound = 1258939.607348, lowerbound=1015490.607348, norm of subgrad 1008.546284	dualbound = 1258939.607348, lowerbound=1015490.607348, norm of subgrad 47.646922	 stepsize= 1.000000 
-dualbound = 1259560.706700, lowerbound=1013731.706700, norm of subgrad 1007.645129	dualbound = 1259560.706700, lowerbound=1013731.706700, norm of subgrad 47.308555	 stepsize= 1.000000 
-dualbound = 1260149.732094, lowerbound=1014151.732094, norm of subgrad 1007.879820	dualbound = 1260149.732094, lowerbound=1014151.732094, norm of subgrad 47.529206	 stepsize= 1.000000 
-dualbound = 1260732.026215, lowerbound=1015610.026215, norm of subgrad 1008.595571	dualbound = 1260732.026215, lowerbound=1015610.026215, norm of subgrad 47.300044	 stepsize= 1.000000 
-dualbound = 1261357.662962, lowerbound=1014452.662962, norm of subgrad 1008.023146	dualbound = 1261357.662962, lowerbound=1014452.662962, norm of subgrad 47.787412	 stepsize= 1.000000 
-dualbound = 1261929.599814, lowerbound=1013748.599814, norm of subgrad 1007.683283	dualbound = 1261929.599814, lowerbound=1013748.599814, norm of subgrad 47.422957	 stepsize= 1.000000 
-dualbound = 1262539.375480, lowerbound=1015624.375480, norm of subgrad 1008.602189	dualbound = 1262539.375480, lowerbound=1015624.375480, norm of subgrad 47.579152	 stepsize= 1.000000 
-dualbound = 1263152.263977, lowerbound=1014094.263977, norm of subgrad 1007.823032	dualbound = 1263152.263977, lowerbound=1014094.263977, norm of subgrad 47.179323	 stepsize= 1.000000 
-dualbound = 1263731.883392, lowerbound=1015010.883392, norm of subgrad 1008.304956	dualbound = 1263731.883392, lowerbound=1015010.883392, norm of subgrad 47.409065	 stepsize= 1.000000 
-dualbound = 1264306.163736, lowerbound=1015754.163736, norm of subgrad 1008.663553	dualbound = 1264306.163736, lowerbound=1015754.163736, norm of subgrad 47.141069	 stepsize= 1.000000 
-dualbound = 1264933.362119, lowerbound=1015263.362119, norm of subgrad 1008.404860	dualbound = 1264933.362119, lowerbound=1015263.362119, norm of subgrad 47.372971	 stepsize= 1.000000 
-dualbound = 1265492.838954, lowerbound=1013481.838954, norm of subgrad 1007.546445	dualbound = 1265492.838954, lowerbound=1013481.838954, norm of subgrad 47.196153	 stepsize= 1.000000 
-dualbound = 1266084.538319, lowerbound=1016918.538319, norm of subgrad 1009.236116	dualbound = 1266084.538319, lowerbound=1016918.538319, norm of subgrad 47.230280	 stepsize= 1.000000 
-dualbound = 1266695.988312, lowerbound=1013741.988312, norm of subgrad 1007.688934	dualbound = 1266695.988312, lowerbound=1013741.988312, norm of subgrad 48.025514	 stepsize= 1.000000 
-dualbound = 1267262.794862, lowerbound=1016223.794862, norm of subgrad 1008.936963	dualbound = 1267262.794862, lowerbound=1016223.794862, norm of subgrad 47.925010	 stepsize= 1.000000 
-dualbound = 1267847.017757, lowerbound=1015913.017757, norm of subgrad 1008.760635	dualbound = 1267847.017757, lowerbound=1015913.017757, norm of subgrad 47.636361	 stepsize= 1.000000 
-dualbound = 1268451.430998, lowerbound=1014931.430998, norm of subgrad 1008.237785	dualbound = 1268451.430998, lowerbound=1014931.430998, norm of subgrad 47.078798	 stepsize= 1.000000 
-dualbound = 1269078.305697, lowerbound=1016013.305697, norm of subgrad 1008.808359	dualbound = 1269078.305697, lowerbound=1016013.305697, norm of subgrad 48.040345	 stepsize= 1.000000 
-dualbound = 1269628.646045, lowerbound=1016478.646045, norm of subgrad 1009.036494	dualbound = 1269628.646045, lowerbound=1016478.646045, norm of subgrad 47.184111	 stepsize= 1.000000 
-dualbound = 1270217.295124, lowerbound=1014281.295124, norm of subgrad 1007.952526	dualbound = 1270217.295124, lowerbound=1014281.295124, norm of subgrad 47.703764	 stepsize= 1.000000 
-dualbound = 1270814.388246, lowerbound=1016611.388246, norm of subgrad 1009.092359	dualbound = 1270814.388246, lowerbound=1016611.388246, norm of subgrad 47.466758	 stepsize= 1.000000 
-dualbound = 1271417.618455, lowerbound=1015678.618455, norm of subgrad 1008.611728	dualbound = 1271417.618455, lowerbound=1015678.618455, norm of subgrad 47.140537	 stepsize= 1.000000 
-dualbound = 1271996.498842, lowerbound=1015075.498842, norm of subgrad 1008.353360	dualbound = 1271996.498842, lowerbound=1015075.498842, norm of subgrad 47.748093	 stepsize= 1.000000 
-dualbound = 1272592.120515, lowerbound=1015007.120515, norm of subgrad 1008.302098	dualbound = 1272592.120515, lowerbound=1015007.120515, norm of subgrad 47.556510	 stepsize= 1.000000 
-dualbound = 1273172.829242, lowerbound=1016872.829242, norm of subgrad 1009.200589	dualbound = 1273172.829242, lowerbound=1016872.829242, norm of subgrad 46.837044	 stepsize= 1.000000 
-dualbound = 1273768.242747, lowerbound=1016683.242747, norm of subgrad 1009.134898	dualbound = 1273768.242747, lowerbound=1016683.242747, norm of subgrad 47.596360	 stepsize= 1.000000 
-dualbound = 1274349.102484, lowerbound=1016997.102484, norm of subgrad 1009.285937	dualbound = 1274349.102484, lowerbound=1016997.102484, norm of subgrad 47.348281	 stepsize= 1.000000 
-dualbound = 1274938.633085, lowerbound=1014892.633085, norm of subgrad 1008.258217	dualbound = 1274938.633085, lowerbound=1014892.633085, norm of subgrad 47.765370	 stepsize= 1.000000 
-dualbound = 1275496.575099, lowerbound=1016889.575099, norm of subgrad 1009.266355	dualbound = 1275496.575099, lowerbound=1016889.575099, norm of subgrad 47.821983	 stepsize= 1.000000 
-dualbound = 1276105.963442, lowerbound=1015795.963442, norm of subgrad 1008.677334	dualbound = 1276105.963442, lowerbound=1015795.963442, norm of subgrad 47.364421	 stepsize= 1.000000 
-dualbound = 1276710.734979, lowerbound=1018135.734979, norm of subgrad 1009.827577	dualbound = 1276710.734979, lowerbound=1018135.734979, norm of subgrad 47.125063	 stepsize= 1.000000 
-dualbound = 1277295.790034, lowerbound=1014235.790034, norm of subgrad 1007.904157	dualbound = 1277295.790034, lowerbound=1014235.790034, norm of subgrad 47.117460	 stepsize= 1.000000 
-dualbound = 1277861.680783, lowerbound=1018354.680783, norm of subgrad 1009.939939	dualbound = 1277861.680783, lowerbound=1018354.680783, norm of subgrad 46.796269	 stepsize= 1.000000 
-dualbound = 1278465.800688, lowerbound=1016683.800688, norm of subgrad 1009.119815	dualbound = 1278465.800688, lowerbound=1016683.800688, norm of subgrad 47.361587	 stepsize= 1.000000 
-dualbound = 1279031.189117, lowerbound=1016300.189117, norm of subgrad 1008.935176	dualbound = 1279031.189117, lowerbound=1016300.189117, norm of subgrad 47.067913	 stepsize= 1.000000 
-dualbound = 1279631.768062, lowerbound=1017616.768062, norm of subgrad 1009.560681	dualbound = 1279631.768062, lowerbound=1017616.768062, norm of subgrad 46.867675	 stepsize= 1.000000 
-dualbound = 1280220.816638, lowerbound=1015605.816638, norm of subgrad 1008.577125	dualbound = 1280220.816638, lowerbound=1015605.816638, norm of subgrad 47.021788	 stepsize= 1.000000 
-dualbound = 1280803.135698, lowerbound=1018113.135698, norm of subgrad 1009.847580	dualbound = 1280803.135698, lowerbound=1018113.135698, norm of subgrad 47.553329	 stepsize= 1.000000 
-dualbound = 1281333.749153, lowerbound=1015639.749153, norm of subgrad 1008.610802	dualbound = 1281333.749153, lowerbound=1015639.749153, norm of subgrad 46.761239	 stepsize= 1.000000 
-dualbound = 1281956.997138, lowerbound=1019480.997138, norm of subgrad 1010.520162	dualbound = 1281956.997138, lowerbound=1019480.997138, norm of subgrad 47.887869	 stepsize= 1.000000 
-dualbound = 1282517.685356, lowerbound=1016182.685356, norm of subgrad 1008.859596	dualbound = 1282517.685356, lowerbound=1016182.685356, norm of subgrad 46.644273	 stepsize= 1.000000 
-dualbound = 1283135.731674, lowerbound=1016214.731674, norm of subgrad 1008.875974	dualbound = 1283135.731674, lowerbound=1016214.731674, norm of subgrad 47.265699	 stepsize= 1.000000 
-dualbound = 1283667.031364, lowerbound=1020053.031364, norm of subgrad 1010.846690	dualbound = 1283667.031364, lowerbound=1020053.031364, norm of subgrad 47.846627	 stepsize= 1.000000 
-dualbound = 1284258.139220, lowerbound=1015125.139220, norm of subgrad 1008.358140	dualbound = 1284258.139220, lowerbound=1015125.139220, norm of subgrad 47.456378	 stepsize= 1.000000 
-dualbound = 1284834.338734, lowerbound=1019126.338734, norm of subgrad 1010.336745	dualbound = 1284834.338734, lowerbound=1019126.338734, norm of subgrad 47.224988	 stepsize= 1.000000 
-dualbound = 1285408.503522, lowerbound=1016415.503522, norm of subgrad 1009.002727	dualbound = 1285408.503522, lowerbound=1016415.503522, norm of subgrad 47.383170	 stepsize= 1.000000 
-dualbound = 1285987.744683, lowerbound=1017027.744683, norm of subgrad 1009.291209	dualbound = 1285987.744683, lowerbound=1017027.744683, norm of subgrad 47.119435	 stepsize= 1.000000 
-dualbound = 1286567.356678, lowerbound=1018761.356678, norm of subgrad 1010.124426	dualbound = 1286567.356678, lowerbound=1018761.356678, norm of subgrad 46.579094	 stepsize= 1.000000 
-dualbound = 1287145.410521, lowerbound=1019578.410521, norm of subgrad 1010.564402	dualbound = 1287145.410521, lowerbound=1019578.410521, norm of subgrad 47.329207	 stepsize= 1.000000 
-dualbound = 1287705.094993, lowerbound=1016134.094993, norm of subgrad 1008.875163	dualbound = 1287705.094993, lowerbound=1016134.094993, norm of subgrad 47.483518	 stepsize= 1.000000 
-dualbound = 1288293.038937, lowerbound=1017448.038937, norm of subgrad 1009.524165	dualbound = 1288293.038937, lowerbound=1017448.038937, norm of subgrad 47.738286	 stepsize= 1.000000 
-dualbound = 1288833.061499, lowerbound=1018568.061499, norm of subgrad 1010.073295	dualbound = 1288833.061499, lowerbound=1018568.061499, norm of subgrad 47.117115	 stepsize= 1.000000 
-dualbound = 1289464.159181, lowerbound=1018106.159181, norm of subgrad 1009.803030	dualbound = 1289464.159181, lowerbound=1018106.159181, norm of subgrad 47.192136	 stepsize= 1.000000 
-dualbound = 1290028.557506, lowerbound=1018841.557506, norm of subgrad 1010.165114	dualbound = 1290028.557506, lowerbound=1018841.557506, norm of subgrad 46.437036	 stepsize= 1.000000 
-dualbound = 1290593.987590, lowerbound=1017663.987590, norm of subgrad 1009.615762	dualbound = 1290593.987590, lowerbound=1017663.987590, norm of subgrad 47.174464	 stepsize= 1.000000 
-dualbound = 1291156.115697, lowerbound=1018650.115697, norm of subgrad 1010.092627	dualbound = 1291156.115697, lowerbound=1018650.115697, norm of subgrad 46.894862	 stepsize= 1.000000 
-dualbound = 1291758.208754, lowerbound=1017821.208754, norm of subgrad 1009.675299	dualbound = 1291758.208754, lowerbound=1017821.208754, norm of subgrad 47.170892	 stepsize= 1.000000 
-dualbound = 1292312.740439, lowerbound=1019006.740439, norm of subgrad 1010.268648	dualbound = 1292312.740439, lowerbound=1019006.740439, norm of subgrad 46.803116	 stepsize= 1.000000 
-dualbound = 1292892.660929, lowerbound=1016447.660929, norm of subgrad 1008.990912	dualbound = 1292892.660929, lowerbound=1016447.660929, norm of subgrad 46.849979	 stepsize= 1.000000 
-dualbound = 1293449.521427, lowerbound=1018694.521427, norm of subgrad 1010.163116	dualbound = 1293449.521427, lowerbound=1018694.521427, norm of subgrad 47.873380	 stepsize= 1.000000 
-dualbound = 1294016.369562, lowerbound=1019148.369562, norm of subgrad 1010.311026	dualbound = 1294016.369562, lowerbound=1019148.369562, norm of subgrad 46.334093	 stepsize= 1.000000 
-dualbound = 1294620.127315, lowerbound=1018601.127315, norm of subgrad 1010.051547	dualbound = 1294620.127315, lowerbound=1018601.127315, norm of subgrad 46.976140	 stepsize= 1.000000 
-dualbound = 1295167.153478, lowerbound=1019087.153478, norm of subgrad 1010.310919	dualbound = 1295167.153478, lowerbound=1019087.153478, norm of subgrad 46.776342	 stepsize= 1.000000 
-dualbound = 1295729.124623, lowerbound=1018461.124623, norm of subgrad 1010.002042	dualbound = 1295729.124623, lowerbound=1018461.124623, norm of subgrad 46.957120	 stepsize= 1.000000 
-dualbound = 1296316.533231, lowerbound=1017506.533231, norm of subgrad 1009.528372	dualbound = 1296316.533231, lowerbound=1017506.533231, norm of subgrad 47.206023	 stepsize= 1.000000 
-dualbound = 1296875.714794, lowerbound=1019042.714794, norm of subgrad 1010.311692	dualbound = 1296875.714794, lowerbound=1019042.714794, norm of subgrad 47.393898	 stepsize= 1.000000 
-dualbound = 1297412.747587, lowerbound=1019897.747587, norm of subgrad 1010.726347	dualbound = 1297412.747587, lowerbound=1019897.747587, norm of subgrad 46.979068	 stepsize= 1.000000 
-dualbound = 1298019.663664, lowerbound=1017788.663664, norm of subgrad 1009.641849	dualbound = 1298019.663664, lowerbound=1017788.663664, norm of subgrad 46.849931	 stepsize= 1.000000 
-dualbound = 1298594.471300, lowerbound=1020401.471300, norm of subgrad 1010.934949	dualbound = 1298594.471300, lowerbound=1020401.471300, norm of subgrad 46.505996	 stepsize= 1.000000 
-dualbound = 1299164.207023, lowerbound=1019053.207023, norm of subgrad 1010.295604	dualbound = 1299164.207023, lowerbound=1019053.207023, norm of subgrad 47.050353	 stepsize= 1.000000 
-dualbound = 1299696.937731, lowerbound=1019536.937731, norm of subgrad 1010.559220	dualbound = 1299696.937731, lowerbound=1019536.937731, norm of subgrad 47.177651	 stepsize= 1.000000 
-dualbound = 1300270.943844, lowerbound=1018140.943844, norm of subgrad 1009.877192	dualbound = 1300270.943844, lowerbound=1018140.943844, norm of subgrad 47.801738	 stepsize= 1.000000 
-dualbound = 1300845.237443, lowerbound=1020216.237443, norm of subgrad 1010.896749	dualbound = 1300845.237443, lowerbound=1020216.237443, norm of subgrad 47.647598	 stepsize= 1.000000 
-dualbound = 1301411.871198, lowerbound=1018403.871198, norm of subgrad 1009.962807	dualbound = 1301411.871198, lowerbound=1018403.871198, norm of subgrad 46.772147	 stepsize= 1.000000 
-dualbound = 1301951.719973, lowerbound=1020523.719973, norm of subgrad 1011.046844	dualbound = 1301951.719973, lowerbound=1020523.719973, norm of subgrad 47.242447	 stepsize= 1.000000 
-dualbound = 1302552.588273, lowerbound=1019532.588273, norm of subgrad 1010.534803	dualbound = 1302552.588273, lowerbound=1019532.588273, norm of subgrad 47.422234	 stepsize= 1.000000 
-dualbound = 1303100.592265, lowerbound=1017637.592265, norm of subgrad 1009.602690	dualbound = 1303100.592265, lowerbound=1017637.592265, norm of subgrad 46.989403	 stepsize= 1.000000 
-dualbound = 1303704.724251, lowerbound=1020033.724251, norm of subgrad 1010.764426	dualbound = 1303704.724251, lowerbound=1020033.724251, norm of subgrad 47.065189	 stepsize= 1.000000 
-dualbound = 1304222.717394, lowerbound=1019484.717394, norm of subgrad 1010.527940	dualbound = 1304222.717394, lowerbound=1019484.717394, norm of subgrad 46.904085	 stepsize= 1.000000 
-dualbound = 1304801.991849, lowerbound=1018235.991849, norm of subgrad 1009.887613	dualbound = 1304801.991849, lowerbound=1018235.991849, norm of subgrad 47.077324	 stepsize= 1.000000 
-dualbound = 1305382.440129, lowerbound=1020664.440129, norm of subgrad 1011.075388	dualbound = 1305382.440129, lowerbound=1020664.440129, norm of subgrad 46.791541	 stepsize= 1.000000 
-dualbound = 1305919.458493, lowerbound=1019827.458493, norm of subgrad 1010.703942	dualbound = 1305919.458493, lowerbound=1019827.458493, norm of subgrad 47.244242	 stepsize= 1.000000 
-dualbound = 1306481.881086, lowerbound=1019971.881086, norm of subgrad 1010.761041	dualbound = 1306481.881086, lowerbound=1019971.881086, norm of subgrad 47.206171	 stepsize= 1.000000 
-dualbound = 1307060.258976, lowerbound=1019471.258976, norm of subgrad 1010.513859	dualbound = 1307060.258976, lowerbound=1019471.258976, norm of subgrad 47.385419	 stepsize= 1.000000 
-dualbound = 1307601.100849, lowerbound=1020602.100849, norm of subgrad 1011.085605	dualbound = 1307601.100849, lowerbound=1020602.100849, norm of subgrad 47.252956	 stepsize= 1.000000 
-dualbound = 1308191.894268, lowerbound=1019516.894268, norm of subgrad 1010.529017	dualbound = 1308191.894268, lowerbound=1019516.894268, norm of subgrad 47.358140	 stepsize= 1.000000 
-dualbound = 1308735.545492, lowerbound=1020930.545492, norm of subgrad 1011.232686	dualbound = 1308735.545492, lowerbound=1020930.545492, norm of subgrad 46.953714	 stepsize= 1.000000 
-dualbound = 1309319.032125, lowerbound=1019929.032125, norm of subgrad 1010.728466	dualbound = 1309319.032125, lowerbound=1019929.032125, norm of subgrad 47.185661	 stepsize= 1.000000 
-dualbound = 1309871.529940, lowerbound=1020521.529940, norm of subgrad 1010.993338	dualbound = 1309871.529940, lowerbound=1020521.529940, norm of subgrad 46.243895	 stepsize= 1.000000 
-dualbound = 1310441.434477, lowerbound=1019311.434477, norm of subgrad 1010.386775	dualbound = 1310441.434477, lowerbound=1019311.434477, norm of subgrad 46.259102	 stepsize= 1.000000 
-dualbound = 1310993.431596, lowerbound=1021242.431596, norm of subgrad 1011.357223	dualbound = 1310993.431596, lowerbound=1021242.431596, norm of subgrad 46.400400	 stepsize= 1.000000 
-dualbound = 1311557.541320, lowerbound=1020935.541320, norm of subgrad 1011.219828	dualbound = 1311557.541320, lowerbound=1020935.541320, norm of subgrad 46.841325	 stepsize= 1.000000 
-dualbound = 1312083.621177, lowerbound=1020476.621177, norm of subgrad 1011.011187	dualbound = 1312083.621177, lowerbound=1020476.621177, norm of subgrad 46.830331	 stepsize= 1.000000 
-dualbound = 1312637.635750, lowerbound=1021272.635750, norm of subgrad 1011.431479	dualbound = 1312637.635750, lowerbound=1021272.635750, norm of subgrad 47.697113	 stepsize= 1.000000 
-dualbound = 1313186.934997, lowerbound=1020550.934997, norm of subgrad 1011.041510	dualbound = 1313186.934997, lowerbound=1020550.934997, norm of subgrad 46.939315	 stepsize= 1.000000 
-dualbound = 1313757.466645, lowerbound=1021246.466645, norm of subgrad 1011.386903	dualbound = 1313757.466645, lowerbound=1021246.466645, norm of subgrad 47.196733	 stepsize= 1.000000 
-dualbound = 1314307.156059, lowerbound=1020872.156059, norm of subgrad 1011.202826	dualbound = 1314307.156059, lowerbound=1020872.156059, norm of subgrad 46.996696	 stepsize= 1.000000 
-dualbound = 1314863.103145, lowerbound=1020299.103145, norm of subgrad 1010.877887	dualbound = 1314863.103145, lowerbound=1020299.103145, norm of subgrad 46.162182	 stepsize= 1.000000 
-dualbound = 1315427.515568, lowerbound=1021689.515568, norm of subgrad 1011.602944	dualbound = 1315427.515568, lowerbound=1021689.515568, norm of subgrad 47.068168	 stepsize= 1.000000 
-dualbound = 1315974.630012, lowerbound=1019091.630012, norm of subgrad 1010.339364	dualbound = 1315974.630012, lowerbound=1019091.630012, norm of subgrad 47.340410	 stepsize= 1.000000 
-dualbound = 1316525.563297, lowerbound=1021247.563297, norm of subgrad 1011.372119	dualbound = 1316525.563297, lowerbound=1021247.563297, norm of subgrad 46.657618	 stepsize= 1.000000 
-dualbound = 1317101.354729, lowerbound=1022373.354729, norm of subgrad 1011.915686	dualbound = 1317101.354729, lowerbound=1022373.354729, norm of subgrad 46.645380	 stepsize= 1.000000 
-dualbound = 1317649.023684, lowerbound=1021853.023684, norm of subgrad 1011.669918	dualbound = 1317649.023684, lowerbound=1021853.023684, norm of subgrad 46.590438	 stepsize= 1.000000 
-dualbound = 1318212.363425, lowerbound=1022692.363425, norm of subgrad 1012.093061	dualbound = 1318212.363425, lowerbound=1022692.363425, norm of subgrad 46.939746	 stepsize= 1.000000 
-dualbound = 1318759.361644, lowerbound=1018571.361644, norm of subgrad 1010.020971	dualbound = 1318759.361644, lowerbound=1018571.361644, norm of subgrad 46.021715	 stepsize= 1.000000 
-dualbound = 1319318.643178, lowerbound=1022302.643178, norm of subgrad 1011.894087	dualbound = 1319318.643178, lowerbound=1022302.643178, norm of subgrad 46.757690	 stepsize= 1.000000 
-dualbound = 1319836.673181, lowerbound=1022031.673181, norm of subgrad 1011.780447	dualbound = 1319836.673181, lowerbound=1022031.673181, norm of subgrad 46.755000	 stepsize= 1.000000 
-dualbound = 1320393.721527, lowerbound=1022132.721527, norm of subgrad 1011.818522	dualbound = 1320393.721527, lowerbound=1022132.721527, norm of subgrad 46.915332	 stepsize= 1.000000 
-dualbound = 1320955.118033, lowerbound=1021398.118033, norm of subgrad 1011.473241	dualbound = 1320955.118033, lowerbound=1021398.118033, norm of subgrad 47.343389	 stepsize= 1.000000 
-dualbound = 1321508.866868, lowerbound=1021898.866868, norm of subgrad 1011.700483	dualbound = 1321508.866868, lowerbound=1021898.866868, norm of subgrad 46.826796	 stepsize= 1.000000 
-dualbound = 1322067.552544, lowerbound=1022741.552544, norm of subgrad 1012.098094	dualbound = 1322067.552544, lowerbound=1022741.552544, norm of subgrad 46.472418	 stepsize= 1.000000 
-dualbound = 1322604.567483, lowerbound=1021377.567483, norm of subgrad 1011.429467	dualbound = 1322604.567483, lowerbound=1021377.567483, norm of subgrad 46.357469	 stepsize= 1.000000 
-dualbound = 1323138.088657, lowerbound=1020960.088657, norm of subgrad 1011.240866	dualbound = 1323138.088657, lowerbound=1020960.088657, norm of subgrad 46.706757	 stepsize= 1.000000 
-dualbound = 1323718.579581, lowerbound=1022425.579581, norm of subgrad 1011.955325	dualbound = 1323718.579581, lowerbound=1022425.579581, norm of subgrad 46.994584	 stepsize= 1.000000 
-dualbound = 1324228.574959, lowerbound=1022221.574959, norm of subgrad 1011.857982	dualbound = 1324228.574959, lowerbound=1022221.574959, norm of subgrad 46.314095	 stepsize= 1.000000 
-dualbound = 1324809.788556, lowerbound=1022467.788556, norm of subgrad 1011.955922	dualbound = 1324809.788556, lowerbound=1022467.788556, norm of subgrad 46.564081	 stepsize= 1.000000 
-dualbound = 1325342.581077, lowerbound=1022485.581077, norm of subgrad 1011.993864	dualbound = 1325342.581077, lowerbound=1022485.581077, norm of subgrad 46.677538	 stepsize= 1.000000 
-dualbound = 1325861.039179, lowerbound=1023468.039179, norm of subgrad 1012.478661	dualbound = 1325861.039179, lowerbound=1023468.039179, norm of subgrad 46.512989	 stepsize= 1.000000 
-dualbound = 1326425.889363, lowerbound=1021793.889363, norm of subgrad 1011.615485	dualbound = 1326425.889363, lowerbound=1021793.889363, norm of subgrad 46.226077	 stepsize= 1.000000 
-dualbound = 1326992.470004, lowerbound=1021242.470004, norm of subgrad 1011.343399	dualbound = 1326992.470004, lowerbound=1021242.470004, norm of subgrad 46.255601	 stepsize= 1.000000 
-dualbound = 1327515.484301, lowerbound=1024029.484301, norm of subgrad 1012.721820	dualbound = 1327515.484301, lowerbound=1024029.484301, norm of subgrad 45.815001	 stepsize= 1.000000 
-dualbound = 1328066.030342, lowerbound=1021379.030342, norm of subgrad 1011.469738	dualbound = 1328066.030342, lowerbound=1021379.030342, norm of subgrad 47.355528	 stepsize= 1.000000 
-dualbound = 1328581.905239, lowerbound=1023333.905239, norm of subgrad 1012.392664	dualbound = 1328581.905239, lowerbound=1023333.905239, norm of subgrad 46.052958	 stepsize= 1.000000 
-dualbound = 1329151.084781, lowerbound=1022692.084781, norm of subgrad 1012.099345	dualbound = 1329151.084781, lowerbound=1022692.084781, norm of subgrad 47.139999	 stepsize= 1.000000 
-dualbound = 1329672.781120, lowerbound=1023547.781120, norm of subgrad 1012.531867	dualbound = 1329672.781120, lowerbound=1023547.781120, norm of subgrad 46.847586	 stepsize= 1.000000 
-dualbound = 1330208.723154, lowerbound=1022275.723154, norm of subgrad 1011.882762	dualbound = 1330208.723154, lowerbound=1022275.723154, norm of subgrad 46.550425	 stepsize= 1.000000 
-dualbound = 1330742.706094, lowerbound=1024528.706094, norm of subgrad 1013.011207	dualbound = 1330742.706094, lowerbound=1024528.706094, norm of subgrad 46.871985	 stepsize= 1.000000 
-dualbound = 1331300.279076, lowerbound=1020663.279076, norm of subgrad 1011.069869	dualbound = 1331300.279076, lowerbound=1020663.279076, norm of subgrad 46.438917	 stepsize= 1.000000 
-dualbound = 1331849.971490, lowerbound=1025242.971490, norm of subgrad 1013.350863	dualbound = 1331849.971490, lowerbound=1025242.971490, norm of subgrad 46.762083	 stepsize= 1.000000 
-dualbound = 1332371.602410, lowerbound=1022772.602410, norm of subgrad 1012.139616	dualbound = 1332371.602410, lowerbound=1022772.602410, norm of subgrad 46.643659	 stepsize= 1.000000 
-dualbound = 1332898.213670, lowerbound=1024204.213670, norm of subgrad 1012.826843	dualbound = 1332898.213670, lowerbound=1024204.213670, norm of subgrad 46.266740	 stepsize= 1.000000 
-dualbound = 1333464.696884, lowerbound=1023045.696884, norm of subgrad 1012.220182	dualbound = 1333464.696884, lowerbound=1023045.696884, norm of subgrad 45.939996	 stepsize= 1.000000 
-dualbound = 1334011.386206, lowerbound=1025985.386206, norm of subgrad 1013.699850	dualbound = 1334011.386206, lowerbound=1025985.386206, norm of subgrad 46.353957	 stepsize= 1.000000 
-dualbound = 1334526.765852, lowerbound=1023203.765852, norm of subgrad 1012.327401	dualbound = 1334526.765852, lowerbound=1023203.765852, norm of subgrad 46.025858	 stepsize= 1.000000 
-dualbound = 1335057.254246, lowerbound=1024723.254246, norm of subgrad 1013.104760	dualbound = 1335057.254246, lowerbound=1024723.254246, norm of subgrad 46.781283	 stepsize= 1.000000 
-dualbound = 1335585.351832, lowerbound=1024206.351832, norm of subgrad 1012.832835	dualbound = 1335585.351832, lowerbound=1024206.351832, norm of subgrad 46.390706	 stepsize= 1.000000 
-dualbound = 1336114.624219, lowerbound=1024138.624219, norm of subgrad 1012.791501	dualbound = 1336114.624219, lowerbound=1024138.624219, norm of subgrad 46.230643	 stepsize= 1.000000 
-dualbound = 1336658.298763, lowerbound=1023664.298763, norm of subgrad 1012.567676	dualbound = 1336658.298763, lowerbound=1023664.298763, norm of subgrad 46.611957	 stepsize= 1.000000 
-dualbound = 1337147.729503, lowerbound=1024447.729503, norm of subgrad 1012.956430	dualbound = 1337147.729503, lowerbound=1024447.729503, norm of subgrad 46.069846	 stepsize= 1.000000 
-dualbound = 1337725.080008, lowerbound=1022691.080008, norm of subgrad 1012.072665	dualbound = 1337725.080008, lowerbound=1022691.080008, norm of subgrad 46.662089	 stepsize= 1.000000 
-dualbound = 1338231.977771, lowerbound=1027347.977771, norm of subgrad 1014.391925	dualbound = 1338231.977771, lowerbound=1027347.977771, norm of subgrad 46.366990	 stepsize= 1.000000 
-dualbound = 1338754.780856, lowerbound=1026064.780856, norm of subgrad 1013.732105	dualbound = 1338754.780856, lowerbound=1026064.780856, norm of subgrad 45.943477	 stepsize= 1.000000 
-dualbound = 1339285.377581, lowerbound=1024547.377581, norm of subgrad 1012.956750	dualbound = 1339285.377581, lowerbound=1024547.377581, norm of subgrad 45.437834	 stepsize= 1.000000 
-dualbound = 1339829.527605, lowerbound=1026537.527605, norm of subgrad 1013.953908	dualbound = 1339829.527605, lowerbound=1026537.527605, norm of subgrad 45.925483	 stepsize= 1.000000 
-dualbound = 1340334.749040, lowerbound=1024185.749040, norm of subgrad 1012.823158	dualbound = 1340334.749040, lowerbound=1024185.749040, norm of subgrad 46.154322	 stepsize= 1.000000 
-dualbound = 1340847.968786, lowerbound=1025824.968786, norm of subgrad 1013.626642	dualbound = 1340847.968786, lowerbound=1025824.968786, norm of subgrad 46.121793	 stepsize= 1.000000 
-dualbound = 1341363.569530, lowerbound=1024271.569530, norm of subgrad 1012.858119	dualbound = 1341363.569530, lowerbound=1024271.569530, norm of subgrad 46.104238	 stepsize= 1.000000 
-dualbound = 1341905.808315, lowerbound=1026331.808315, norm of subgrad 1013.866267	dualbound = 1341905.808315, lowerbound=1026331.808315, norm of subgrad 46.208644	 stepsize= 1.000000 
-dualbound = 1342433.211406, lowerbound=1024401.211406, norm of subgrad 1012.917179	dualbound = 1342433.211406, lowerbound=1024401.211406, norm of subgrad 46.123780	 stepsize= 1.000000 
-dualbound = 1342951.961012, lowerbound=1026664.961012, norm of subgrad 1014.030552	dualbound = 1342951.961012, lowerbound=1026664.961012, norm of subgrad 45.953777	 stepsize= 1.000000 
-dualbound = 1343439.166937, lowerbound=1026954.166937, norm of subgrad 1014.220473	dualbound = 1343439.166937, lowerbound=1026954.166937, norm of subgrad 46.649822	 stepsize= 1.000000 
-dualbound = 1343981.994507, lowerbound=1024280.994507, norm of subgrad 1012.876100	dualbound = 1343981.994507, lowerbound=1024280.994507, norm of subgrad 46.688624	 stepsize= 1.000000 
-dualbound = 1344499.744467, lowerbound=1024729.744467, norm of subgrad 1013.069467	dualbound = 1344499.744467, lowerbound=1024729.744467, norm of subgrad 45.801200	 stepsize= 1.000000 
-dualbound = 1345029.809384, lowerbound=1026614.809384, norm of subgrad 1014.003851	dualbound = 1345029.809384, lowerbound=1026614.809384, norm of subgrad 46.033302	 stepsize= 1.000000 
-dualbound = 1345562.132215, lowerbound=1025508.132215, norm of subgrad 1013.487608	dualbound = 1345562.132215, lowerbound=1025508.132215, norm of subgrad 46.704634	 stepsize= 1.000000 
-dualbound = 1346048.913352, lowerbound=1026754.913352, norm of subgrad 1014.094627	dualbound = 1346048.913352, lowerbound=1026754.913352, norm of subgrad 46.041081	 stepsize= 1.000000 
-dualbound = 1346582.419169, lowerbound=1024491.419169, norm of subgrad 1012.978983	dualbound = 1346582.419169, lowerbound=1024491.419169, norm of subgrad 46.567218	 stepsize= 1.000000 
-dualbound = 1347090.658716, lowerbound=1026670.658716, norm of subgrad 1014.078231	dualbound = 1347090.658716, lowerbound=1026670.658716, norm of subgrad 46.821358	 stepsize= 1.000000 
-dualbound = 1347612.141066, lowerbound=1027283.141066, norm of subgrad 1014.322996	dualbound = 1347612.141066, lowerbound=1027283.141066, norm of subgrad 45.710856	 stepsize= 1.000000 
-dualbound = 1348151.675897, lowerbound=1026272.675897, norm of subgrad 1013.847462	dualbound = 1348151.675897, lowerbound=1026272.675897, norm of subgrad 46.406194	 stepsize= 1.000000 
-dualbound = 1348666.297764, lowerbound=1025390.297764, norm of subgrad 1013.382108	dualbound = 1348666.297764, lowerbound=1025390.297764, norm of subgrad 45.471110	 stepsize= 1.000000 
-dualbound = 1349196.265043, lowerbound=1027493.265043, norm of subgrad 1014.443821	dualbound = 1349196.265043, lowerbound=1027493.265043, norm of subgrad 46.184059	 stepsize= 1.000000 
-dualbound = 1349666.100251, lowerbound=1027279.100251, norm of subgrad 1014.380156	dualbound = 1349666.100251, lowerbound=1027279.100251, norm of subgrad 46.452505	 stepsize= 1.000000 
-dualbound = 1350208.146505, lowerbound=1026636.146505, norm of subgrad 1014.007469	dualbound = 1350208.146505, lowerbound=1026636.146505, norm of subgrad 46.011371	 stepsize= 1.000000 
-dualbound = 1350747.041464, lowerbound=1026424.041464, norm of subgrad 1013.934436	dualbound = 1350747.041464, lowerbound=1026424.041464, norm of subgrad 46.667922	 stepsize= 1.000000 
-dualbound = 1351201.541877, lowerbound=1027837.541877, norm of subgrad 1014.651931	dualbound = 1351201.541877, lowerbound=1027837.541877, norm of subgrad 46.211475	 stepsize= 1.000000 
-dualbound = 1351753.968799, lowerbound=1026517.968799, norm of subgrad 1013.978781	dualbound = 1351753.968799, lowerbound=1026517.968799, norm of subgrad 46.769936	 stepsize= 1.000000 
-dualbound = 1352257.995359, lowerbound=1027074.995359, norm of subgrad 1014.257362	dualbound = 1352257.995359, lowerbound=1027074.995359, norm of subgrad 46.336018	 stepsize= 1.000000 
-dualbound = 1352767.229513, lowerbound=1026396.229513, norm of subgrad 1013.938967	dualbound = 1352767.229513, lowerbound=1026396.229513, norm of subgrad 46.746488	 stepsize= 1.000000 
-dualbound = 1353276.026217, lowerbound=1026448.026216, norm of subgrad 1013.925553	dualbound = 1353276.026217, lowerbound=1026448.026216, norm of subgrad 45.888961	 stepsize= 1.000000 
-dualbound = 1353820.142737, lowerbound=1028115.142737, norm of subgrad 1014.745359	dualbound = 1353820.142737, lowerbound=1028115.142737, norm of subgrad 46.228958	 stepsize= 1.000000 
-dualbound = 1354304.064128, lowerbound=1026828.064128, norm of subgrad 1014.125270	dualbound = 1354304.064128, lowerbound=1026828.064128, norm of subgrad 45.890319	 stepsize= 1.000000 
-dualbound = 1354829.060054, lowerbound=1028799.060054, norm of subgrad 1015.075889	dualbound = 1354829.060054, lowerbound=1028799.060054, norm of subgrad 45.880235	 stepsize= 1.000000 
-dualbound = 1355349.483359, lowerbound=1026233.483359, norm of subgrad 1013.853285	dualbound = 1355349.483359, lowerbound=1026233.483359, norm of subgrad 46.748511	 stepsize= 1.000000 
-dualbound = 1355838.037926, lowerbound=1027626.037926, norm of subgrad 1014.520102	dualbound = 1355838.037926, lowerbound=1027626.037926, norm of subgrad 45.973412	 stepsize= 1.000000 
-dualbound = 1356380.712674, lowerbound=1028400.712674, norm of subgrad 1014.890000	dualbound = 1356380.712674, lowerbound=1028400.712674, norm of subgrad 46.299835	 stepsize= 1.000000 
-dualbound = 1356890.362862, lowerbound=1026611.362862, norm of subgrad 1014.024340	dualbound = 1356890.362862, lowerbound=1026611.362862, norm of subgrad 46.299570	 stepsize= 1.000000 
-dualbound = 1357363.874229, lowerbound=1026809.874229, norm of subgrad 1014.111865	dualbound = 1357363.874229, lowerbound=1026809.874229, norm of subgrad 45.678347	 stepsize= 1.000000 
-dualbound = 1357933.873927, lowerbound=1028033.873927, norm of subgrad 1014.715169	dualbound = 1357933.873927, lowerbound=1028033.873927, norm of subgrad 46.722582	 stepsize= 1.000000 
-dualbound = 1358401.368984, lowerbound=1026675.368984, norm of subgrad 1014.062310	dualbound = 1358401.368984, lowerbound=1026675.368984, norm of subgrad 45.983639	 stepsize= 1.000000 
-dualbound = 1358931.962781, lowerbound=1028875.962781, norm of subgrad 1015.131008	dualbound = 1358931.962781, lowerbound=1028875.962781, norm of subgrad 46.320555	 stepsize= 1.000000 
-dualbound = 1359430.685539, lowerbound=1028434.685539, norm of subgrad 1014.931863	dualbound = 1359430.685539, lowerbound=1028434.685539, norm of subgrad 46.375886	 stepsize= 1.000000 
-dualbound = 1359944.356102, lowerbound=1029405.356102, norm of subgrad 1015.402066	dualbound = 1359944.356102, lowerbound=1029405.356102, norm of subgrad 46.364540	 stepsize= 1.000000 
-dualbound = 1360444.325572, lowerbound=1028218.325572, norm of subgrad 1014.847932	dualbound = 1360444.325572, lowerbound=1028218.325572, norm of subgrad 46.882507	 stepsize= 1.000000 
-dualbound = 1360929.038228, lowerbound=1029261.038228, norm of subgrad 1015.376796	dualbound = 1360929.038228, lowerbound=1029261.038228, norm of subgrad 47.050108	 stepsize= 1.000000 
-dualbound = 1361419.560825, lowerbound=1027946.560825, norm of subgrad 1014.682985	dualbound = 1361419.560825, lowerbound=1027946.560825, norm of subgrad 46.103390	 stepsize= 1.000000 
-dualbound = 1361958.695246, lowerbound=1028408.695246, norm of subgrad 1014.862402	dualbound = 1361958.695246, lowerbound=1028408.695246, norm of subgrad 45.564618	 stepsize= 1.000000 
-dualbound = 1362484.862441, lowerbound=1028967.862441, norm of subgrad 1015.171346	dualbound = 1362484.862441, lowerbound=1028967.862441, norm of subgrad 46.164566	 stepsize= 1.000000 
-dualbound = 1362959.939857, lowerbound=1029236.939857, norm of subgrad 1015.317655	dualbound = 1362959.939857, lowerbound=1029236.939857, norm of subgrad 45.913804	 stepsize= 1.000000 
-dualbound = 1363479.472394, lowerbound=1028783.472394, norm of subgrad 1015.081018	dualbound = 1363479.472394, lowerbound=1028783.472394, norm of subgrad 46.103498	 stepsize= 1.000000 
-dualbound = 1363977.851628, lowerbound=1029166.851628, norm of subgrad 1015.271319	dualbound = 1363977.851628, lowerbound=1029166.851628, norm of subgrad 45.906200	 stepsize= 1.000000 
-dualbound = 1364502.588431, lowerbound=1027167.588431, norm of subgrad 1014.269485	dualbound = 1364502.588431, lowerbound=1027167.588431, norm of subgrad 45.822885	 stepsize= 1.000000 
-dualbound = 1365004.704094, lowerbound=1029619.704094, norm of subgrad 1015.501701	dualbound = 1365004.704094, lowerbound=1029619.704094, norm of subgrad 46.109822	 stepsize= 1.000000 
-dualbound = 1365469.512057, lowerbound=1028946.512057, norm of subgrad 1015.155905	dualbound = 1365469.512057, lowerbound=1028946.512057, norm of subgrad 45.385107	 stepsize= 1.000000 
-dualbound = 1365989.810718, lowerbound=1029747.810718, norm of subgrad 1015.560343	dualbound = 1365989.810718, lowerbound=1029747.810718, norm of subgrad 46.209292	 stepsize= 1.000000 
-dualbound = 1366475.215779, lowerbound=1029614.215779, norm of subgrad 1015.502937	dualbound = 1366475.215779, lowerbound=1029614.215779, norm of subgrad 46.015270	 stepsize= 1.000000 
-dualbound = 1366974.695408, lowerbound=1027610.695408, norm of subgrad 1014.526340	dualbound = 1366974.695408, lowerbound=1027610.695408, norm of subgrad 46.394823	 stepsize= 1.000000 
-dualbound = 1367459.694548, lowerbound=1028872.694548, norm of subgrad 1015.137279	dualbound = 1367459.694548, lowerbound=1028872.694548, norm of subgrad 45.999991	 stepsize= 1.000000 
-dualbound = 1367994.145896, lowerbound=1031005.145896, norm of subgrad 1016.204284	dualbound = 1367994.145896, lowerbound=1031005.145896, norm of subgrad 46.908969	 stepsize= 1.000000 
-dualbound = 1368484.892971, lowerbound=1029177.892971, norm of subgrad 1015.291039	dualbound = 1368484.892971, lowerbound=1029177.892971, norm of subgrad 46.138347	 stepsize= 1.000000 
-dualbound = 1368978.400965, lowerbound=1031325.400965, norm of subgrad 1016.355450	dualbound = 1368978.400965, lowerbound=1031325.400965, norm of subgrad 46.330422	 stepsize= 1.000000 
-dualbound = 1369471.509003, lowerbound=1025842.509003, norm of subgrad 1013.638747	dualbound = 1369471.509003, lowerbound=1025842.509003, norm of subgrad 45.979431	 stepsize= 1.000000 
-dualbound = 1370001.798440, lowerbound=1030611.798440, norm of subgrad 1016.001377	dualbound = 1370001.798440, lowerbound=1030611.798440, norm of subgrad 46.661434	 stepsize= 1.000000 
-dualbound = 1370474.377712, lowerbound=1029324.377712, norm of subgrad 1015.369577	dualbound = 1370474.377712, lowerbound=1029324.377712, norm of subgrad 46.082310	 stepsize= 1.000000 
-dualbound = 1370989.110206, lowerbound=1030445.110206, norm of subgrad 1015.883414	dualbound = 1370989.110206, lowerbound=1030445.110206, norm of subgrad 45.702653	 stepsize= 1.000000 
-dualbound = 1371505.392796, lowerbound=1030251.392796, norm of subgrad 1015.814153	dualbound = 1371505.392796, lowerbound=1030251.392796, norm of subgrad 46.295600	 stepsize= 1.000000 
-dualbound = 1371963.029348, lowerbound=1028978.029348, norm of subgrad 1015.212800	dualbound = 1371963.029348, lowerbound=1028978.029348, norm of subgrad 46.223766	 stepsize= 1.000000 
-dualbound = 1372480.773382, lowerbound=1032483.773382, norm of subgrad 1016.928598	dualbound = 1372480.773382, lowerbound=1032483.773382, norm of subgrad 46.666305	 stepsize= 1.000000 
-dualbound = 1372970.476878, lowerbound=1027567.476878, norm of subgrad 1014.471526	dualbound = 1372970.476878, lowerbound=1027567.476878, norm of subgrad 45.548913	 stepsize= 1.000000 
-dualbound = 1373483.045078, lowerbound=1031236.045078, norm of subgrad 1016.289843	dualbound = 1373483.045078, lowerbound=1031236.045078, norm of subgrad 46.060484	 stepsize= 1.000000 
-dualbound = 1373982.883802, lowerbound=1028274.883802, norm of subgrad 1014.867914	dualbound = 1373982.883802, lowerbound=1028274.883802, norm of subgrad 46.710157	 stepsize= 1.000000 
-dualbound = 1374473.875212, lowerbound=1031801.875212, norm of subgrad 1016.566218	dualbound = 1374473.875212, lowerbound=1031801.875212, norm of subgrad 45.781999	 stepsize= 1.000000 
-dualbound = 1374976.661905, lowerbound=1031843.661905, norm of subgrad 1016.593656	dualbound = 1374976.661905, lowerbound=1031843.661905, norm of subgrad 46.062856	 stepsize= 1.000000 
-dualbound = 1375466.559044, lowerbound=1026944.559044, norm of subgrad 1014.163970	dualbound = 1375466.559044, lowerbound=1026944.559044, norm of subgrad 45.540061	 stepsize= 1.000000 
-dualbound = 1375996.036025, lowerbound=1031533.036025, norm of subgrad 1016.453657	dualbound = 1375996.036025, lowerbound=1031533.036025, norm of subgrad 46.631288	 stepsize= 1.000000 
-dualbound = 1376428.193249, lowerbound=1030913.193249, norm of subgrad 1016.181181	dualbound = 1376428.193249, lowerbound=1030913.193249, norm of subgrad 46.294246	 stepsize= 1.000000 
-dualbound = 1376962.882467, lowerbound=1030945.882467, norm of subgrad 1016.179060	dualbound = 1376962.882467, lowerbound=1030945.882467, norm of subgrad 46.996694	 stepsize= 1.000000 
-dualbound = 1377450.061584, lowerbound=1030305.061584, norm of subgrad 1015.830725	dualbound = 1377450.061584, lowerbound=1030305.061584, norm of subgrad 45.762202	 stepsize= 1.000000 
-dualbound = 1377969.035940, lowerbound=1029954.035940, norm of subgrad 1015.649071	dualbound = 1377969.035940, lowerbound=1029954.035940, norm of subgrad 45.912682	 stepsize= 1.000000 
-dualbound = 1378446.009613, lowerbound=1031677.009613, norm of subgrad 1016.523000	dualbound = 1378446.009613, lowerbound=1031677.009613, norm of subgrad 46.032311	 stepsize= 1.000000 
-dualbound = 1378942.846128, lowerbound=1030430.846128, norm of subgrad 1015.886729	dualbound = 1378942.846128, lowerbound=1030430.846128, norm of subgrad 45.736599	 stepsize= 1.000000 
-dualbound = 1379425.316899, lowerbound=1032353.316899, norm of subgrad 1016.846752	dualbound = 1379425.316899, lowerbound=1032353.316899, norm of subgrad 45.896305	 stepsize= 1.000000 
-dualbound = 1379922.503111, lowerbound=1030400.503111, norm of subgrad 1015.904771	dualbound = 1379922.503111, lowerbound=1030400.503111, norm of subgrad 46.467044	 stepsize= 1.000000 
-dualbound = 1380397.412294, lowerbound=1031502.412294, norm of subgrad 1016.445479	dualbound = 1380397.412294, lowerbound=1031502.412294, norm of subgrad 46.194255	 stepsize= 1.000000 
-dualbound = 1380905.792137, lowerbound=1029534.792137, norm of subgrad 1015.460384	dualbound = 1380905.792137, lowerbound=1029534.792137, norm of subgrad 46.188525	 stepsize= 1.000000 
-dualbound = 1381430.658117, lowerbound=1031837.658117, norm of subgrad 1016.589720	dualbound = 1381430.658117, lowerbound=1031837.658117, norm of subgrad 46.280298	 stepsize= 1.000000 
-dualbound = 1381897.934849, lowerbound=1030363.934849, norm of subgrad 1015.855765	dualbound = 1381897.934849, lowerbound=1030363.934849, norm of subgrad 45.456317	 stepsize= 1.000000 
-dualbound = 1382404.799297, lowerbound=1030186.799297, norm of subgrad 1015.771529	dualbound = 1382404.799297, lowerbound=1030186.799297, norm of subgrad 45.955026	 stepsize= 1.000000 
-dualbound = 1382883.871891, lowerbound=1031460.871891, norm of subgrad 1016.449149	dualbound = 1382883.871891, lowerbound=1031460.871891, norm of subgrad 46.766148	 stepsize= 1.000000 
-dualbound = 1383347.431508, lowerbound=1031008.431508, norm of subgrad 1016.206884	dualbound = 1383347.431508, lowerbound=1031008.431508, norm of subgrad 46.168817	 stepsize= 1.000000 
-dualbound = 1383870.612224, lowerbound=1030219.612224, norm of subgrad 1015.798510	dualbound = 1383870.612224, lowerbound=1030219.612224, norm of subgrad 46.370041	 stepsize= 1.000000 
-dualbound = 1384361.634396, lowerbound=1031353.634396, norm of subgrad 1016.330475	dualbound = 1384361.634396, lowerbound=1031353.634396, norm of subgrad 45.442515	 stepsize= 1.000000 
-dualbound = 1384862.905972, lowerbound=1033207.905972, norm of subgrad 1017.280643	dualbound = 1384862.905972, lowerbound=1033207.905972, norm of subgrad 46.403357	 stepsize= 1.000000 
-dualbound = 1385331.459924, lowerbound=1032296.459924, norm of subgrad 1016.807976	dualbound = 1385331.459924, lowerbound=1032296.459924, norm of subgrad 45.503340	 stepsize= 1.000000 
-dualbound = 1385822.396169, lowerbound=1029968.396169, norm of subgrad 1015.697985	dualbound = 1385822.396169, lowerbound=1029968.396169, norm of subgrad 46.528875	 stepsize= 1.000000 
-dualbound = 1386325.301197, lowerbound=1033053.301197, norm of subgrad 1017.196786	dualbound = 1386325.301197, lowerbound=1033053.301197, norm of subgrad 46.248298	 stepsize= 1.000000 
-dualbound = 1386793.128193, lowerbound=1031353.128193, norm of subgrad 1016.345477	dualbound = 1386793.128193, lowerbound=1031353.128193, norm of subgrad 45.528310	 stepsize= 1.000000 
-dualbound = 1387298.771686, lowerbound=1031231.771686, norm of subgrad 1016.269045	dualbound = 1387298.771686, lowerbound=1031231.771686, norm of subgrad 45.570204	 stepsize= 1.000000 
-dualbound = 1387811.946010, lowerbound=1031120.946010, norm of subgrad 1016.232230	dualbound = 1387811.946010, lowerbound=1031120.946010, norm of subgrad 46.045351	 stepsize= 1.000000 
-dualbound = 1388276.156910, lowerbound=1032208.156910, norm of subgrad 1016.762586	dualbound = 1388276.156910, lowerbound=1032208.156910, norm of subgrad 45.411572	 stepsize= 1.000000 
-dualbound = 1388768.785809, lowerbound=1031019.785809, norm of subgrad 1016.209519	dualbound = 1388768.785809, lowerbound=1031019.785809, norm of subgrad 46.417980	 stepsize= 1.000000 
-dualbound = 1389246.833571, lowerbound=1031963.833571, norm of subgrad 1016.636530	dualbound = 1389246.833571, lowerbound=1031963.833571, norm of subgrad 45.431792	 stepsize= 1.000000 
-dualbound = 1389740.949878, lowerbound=1033135.949878, norm of subgrad 1017.223648	dualbound = 1389740.949878, lowerbound=1033135.949878, norm of subgrad 45.848842	 stepsize= 1.000000 
-dualbound = 1390241.022131, lowerbound=1031565.022131, norm of subgrad 1016.451682	dualbound = 1390241.022131, lowerbound=1031565.022131, norm of subgrad 45.924637	 stepsize= 1.000000 
-dualbound = 1390712.049841, lowerbound=1032286.049841, norm of subgrad 1016.794989	dualbound = 1390712.049841, lowerbound=1032286.049841, norm of subgrad 45.354467	 stepsize= 1.000000 
-dualbound = 1391210.729737, lowerbound=1032325.729737, norm of subgrad 1016.827286	dualbound = 1391210.729737, lowerbound=1032325.729737, norm of subgrad 45.942136	 stepsize= 1.000000 
-dualbound = 1391686.828051, lowerbound=1030108.828051, norm of subgrad 1015.728718	dualbound = 1391686.828051, lowerbound=1030108.828051, norm of subgrad 45.520307	 stepsize= 1.000000 
-dualbound = 1392203.883563, lowerbound=1033256.883563, norm of subgrad 1017.267361	dualbound = 1392203.883563, lowerbound=1033256.883563, norm of subgrad 45.749924	 stepsize= 1.000000 
-dualbound = 1392639.561509, lowerbound=1031662.561509, norm of subgrad 1016.521304	dualbound = 1392639.561509, lowerbound=1031662.561509, norm of subgrad 45.702056	 stepsize= 1.000000 
-dualbound = 1393100.953979, lowerbound=1032100.953979, norm of subgrad 1016.736423	dualbound = 1393100.953979, lowerbound=1032100.953979, norm of subgrad 45.971649	 stepsize= 1.000000 
-dualbound = 1393622.642679, lowerbound=1032600.642679, norm of subgrad 1016.974750	dualbound = 1393622.642679, lowerbound=1032600.642679, norm of subgrad 46.461691	 stepsize= 1.000000 
-dualbound = 1394115.495491, lowerbound=1032178.495491, norm of subgrad 1016.744558	dualbound = 1394115.495491, lowerbound=1032178.495491, norm of subgrad 45.649237	 stepsize= 1.000000 
-dualbound = 1394613.698988, lowerbound=1033538.698988, norm of subgrad 1017.417171	dualbound = 1394613.698988, lowerbound=1033538.698988, norm of subgrad 45.795234	 stepsize= 1.000000 
-dualbound = 1395101.454137, lowerbound=1033316.454137, norm of subgrad 1017.289759	dualbound = 1395101.454137, lowerbound=1033316.454137, norm of subgrad 45.274222	 stepsize= 1.000000 
-dualbound = 1395594.480702, lowerbound=1031079.480702, norm of subgrad 1016.209861	dualbound = 1395594.480702, lowerbound=1031079.480702, norm of subgrad 45.782383	 stepsize= 1.000000 
-dualbound = 1396041.205332, lowerbound=1032745.205332, norm of subgrad 1017.057130	dualbound = 1396041.205332, lowerbound=1032745.205332, norm of subgrad 45.899070	 stepsize= 1.000000 
-dualbound = 1396548.915331, lowerbound=1032228.915331, norm of subgrad 1016.778695	dualbound = 1396548.915331, lowerbound=1032228.915331, norm of subgrad 46.018583	 stepsize= 1.000000 
-dualbound = 1397026.212822, lowerbound=1032975.212822, norm of subgrad 1017.138247	dualbound = 1397026.212822, lowerbound=1032975.212822, norm of subgrad 45.522494	 stepsize= 1.000000 
-dualbound = 1397529.065304, lowerbound=1033338.065304, norm of subgrad 1017.311194	dualbound = 1397529.065304, lowerbound=1033338.065304, norm of subgrad 45.682081	 stepsize= 1.000000 
-dualbound = 1398007.176793, lowerbound=1033132.176793, norm of subgrad 1017.219336	dualbound = 1398007.176793, lowerbound=1033132.176793, norm of subgrad 45.619201	 stepsize= 1.000000 
-dualbound = 1398491.453364, lowerbound=1032583.453364, norm of subgrad 1016.966299	dualbound = 1398491.453364, lowerbound=1032583.453364, norm of subgrad 46.057318	 stepsize= 1.000000 
-dualbound = 1398951.413413, lowerbound=1033247.413413, norm of subgrad 1017.270079	dualbound = 1398951.413413, lowerbound=1033247.413413, norm of subgrad 45.287526	 stepsize= 1.000000 
-dualbound = 1399470.835891, lowerbound=1031687.835891, norm of subgrad 1016.494386	dualbound = 1399470.835891, lowerbound=1031687.835891, norm of subgrad 45.743005	 stepsize= 1.000000 
-dualbound = 1399924.355604, lowerbound=1034796.355604, norm of subgrad 1018.031117	dualbound = 1399924.355604, lowerbound=1034796.355604, norm of subgrad 45.216366	 stepsize= 1.000000 
-dualbound = 1400394.042156, lowerbound=1033734.042156, norm of subgrad 1017.553950	dualbound = 1400394.042156, lowerbound=1033734.042156, norm of subgrad 46.386275	 stepsize= 1.000000 
-dualbound = 1400863.798612, lowerbound=1034098.798612, norm of subgrad 1017.691898	dualbound = 1400863.798612, lowerbound=1034098.798612, norm of subgrad 45.472590	 stepsize= 1.000000 
-dualbound = 1401371.439430, lowerbound=1032711.439430, norm of subgrad 1017.003658	dualbound = 1401371.439430, lowerbound=1032711.439430, norm of subgrad 45.745391	 stepsize= 1.000000 
-dualbound = 1401836.808783, lowerbound=1031805.808783, norm of subgrad 1016.564710	dualbound = 1401836.808783, lowerbound=1031805.808783, norm of subgrad 45.424326	 stepsize= 1.000000 
-dualbound = 1402333.015443, lowerbound=1033340.015443, norm of subgrad 1017.348031	dualbound = 1402333.015443, lowerbound=1033340.015443, norm of subgrad 46.402658	 stepsize= 1.000000 
-dualbound = 1402791.611030, lowerbound=1033612.611030, norm of subgrad 1017.495755	dualbound = 1402791.611030, lowerbound=1033612.611030, norm of subgrad 46.298980	 stepsize= 1.000000 
-dualbound = 1403294.463274, lowerbound=1034529.463274, norm of subgrad 1017.924095	dualbound = 1403294.463274, lowerbound=1034529.463274, norm of subgrad 46.290952	 stepsize= 1.000000 
-dualbound = 1403758.392071, lowerbound=1035172.392071, norm of subgrad 1018.176503	dualbound = 1403758.392071, lowerbound=1035172.392071, norm of subgrad 44.440171	 stepsize= 1.000000 
-dualbound = 1404275.738910, lowerbound=1033892.738910, norm of subgrad 1017.572474	dualbound = 1404275.738910, lowerbound=1033892.738910, norm of subgrad 45.588889	 stepsize= 1.000000 
-dualbound = 1404720.857176, lowerbound=1034296.857176, norm of subgrad 1017.820150	dualbound = 1404720.857176, lowerbound=1034296.857176, norm of subgrad 45.892464	 stepsize= 1.000000 
-dualbound = 1405202.876250, lowerbound=1033273.876250, norm of subgrad 1017.303237	dualbound = 1405202.876250, lowerbound=1033273.876250, norm of subgrad 45.978463	 stepsize= 1.000000 
-dualbound = 1405681.221219, lowerbound=1035194.221219, norm of subgrad 1018.228472	dualbound = 1405681.221219, lowerbound=1035194.221219, norm of subgrad 45.533998	 stepsize= 1.000000 
-dualbound = 1406151.269893, lowerbound=1035081.269893, norm of subgrad 1018.170550	dualbound = 1406151.269893, lowerbound=1035081.269893, norm of subgrad 45.387759	 stepsize= 1.000000 
-dualbound = 1406632.386828, lowerbound=1033050.386827, norm of subgrad 1017.168318	dualbound = 1406632.386828, lowerbound=1033050.386827, norm of subgrad 45.410538	 stepsize= 1.000000 
-dualbound = 1407099.366064, lowerbound=1032237.366064, norm of subgrad 1016.808422	dualbound = 1407099.366064, lowerbound=1032237.366064, norm of subgrad 46.140863	 stepsize= 1.000000 
-dualbound = 1407579.047628, lowerbound=1036566.047628, norm of subgrad 1018.936233	dualbound = 1407579.047628, lowerbound=1036566.047628, norm of subgrad 46.310707	 stepsize= 1.000000 
-dualbound = 1408054.685100, lowerbound=1033306.685100, norm of subgrad 1017.293313	dualbound = 1408054.685100, lowerbound=1033306.685100, norm of subgrad 45.328109	 stepsize= 1.000000 
-dualbound = 1408547.033198, lowerbound=1034519.033198, norm of subgrad 1017.872307	dualbound = 1408547.033198, lowerbound=1034519.033198, norm of subgrad 45.136993	 stepsize= 1.000000 
-dualbound = 1409028.041530, lowerbound=1033795.041530, norm of subgrad 1017.519553	dualbound = 1409028.041530, lowerbound=1033795.041530, norm of subgrad 45.077803	 stepsize= 1.000000 
-dualbound = 1409518.631160, lowerbound=1036882.631160, norm of subgrad 1019.057227	dualbound = 1409518.631160, lowerbound=1036882.631160, norm of subgrad 45.668256	 stepsize= 1.000000 
-dualbound = 1409937.210492, lowerbound=1030555.210492, norm of subgrad 1015.982387	dualbound = 1409937.210492, lowerbound=1030555.210492, norm of subgrad 45.646241	 stepsize= 1.000000 
-dualbound = 1410419.227851, lowerbound=1036716.227851, norm of subgrad 1019.009435	dualbound = 1410419.227851, lowerbound=1036716.227851, norm of subgrad 46.325127	 stepsize= 1.000000 
-dualbound = 1410883.745236, lowerbound=1034142.745236, norm of subgrad 1017.728719	dualbound = 1410883.745236, lowerbound=1034142.745236, norm of subgrad 45.754971	 stepsize= 1.000000 
-dualbound = 1411391.676438, lowerbound=1033375.676438, norm of subgrad 1017.336560	dualbound = 1411391.676438, lowerbound=1033375.676438, norm of subgrad 45.890426	 stepsize= 1.000000 
-dualbound = 1411835.865578, lowerbound=1034116.865578, norm of subgrad 1017.699791	dualbound = 1411835.865578, lowerbound=1034116.865578, norm of subgrad 45.168453	 stepsize= 1.000000 
-dualbound = 1412332.485863, lowerbound=1036000.485863, norm of subgrad 1018.622347	dualbound = 1412332.485863, lowerbound=1036000.485863, norm of subgrad 45.690484	 stepsize= 1.000000 
-dualbound = 1412785.508956, lowerbound=1035603.508956, norm of subgrad 1018.451034	dualbound = 1412785.508956, lowerbound=1035603.508956, norm of subgrad 45.738639	 stepsize= 1.000000 
-dualbound = 1413248.802409, lowerbound=1034026.802409, norm of subgrad 1017.655542	dualbound = 1413248.802409, lowerbound=1034026.802409, norm of subgrad 45.379439	 stepsize= 1.000000 
-dualbound = 1413778.579764, lowerbound=1033259.579764, norm of subgrad 1017.269669	dualbound = 1413778.579764, lowerbound=1033259.579764, norm of subgrad 45.910536	 stepsize= 1.000000 
-dualbound = 1414189.512707, lowerbound=1035715.512707, norm of subgrad 1018.488838	dualbound = 1414189.512707, lowerbound=1035715.512707, norm of subgrad 44.888004	 stepsize= 1.000000 
-dualbound = 1414695.611761, lowerbound=1033845.611761, norm of subgrad 1017.577816	dualbound = 1414695.611761, lowerbound=1033845.611761, norm of subgrad 46.098797	 stepsize= 1.000000 
-dualbound = 1415130.963031, lowerbound=1037723.963031, norm of subgrad 1019.499369	dualbound = 1415130.963031, lowerbound=1037723.963031, norm of subgrad 45.720359	 stepsize= 1.000000 
-dualbound = 1415612.150018, lowerbound=1033609.150018, norm of subgrad 1017.437541	dualbound = 1415612.150018, lowerbound=1033609.150018, norm of subgrad 45.290032	 stepsize= 1.000000 
-dualbound = 1416108.995885, lowerbound=1037190.995885, norm of subgrad 1019.251684	dualbound = 1416108.995885, lowerbound=1037190.995885, norm of subgrad 46.688820	 stepsize= 1.000000 
-dualbound = 1416519.937170, lowerbound=1034627.937170, norm of subgrad 1017.964114	dualbound = 1416519.937170, lowerbound=1034627.937170, norm of subgrad 45.099238	 stepsize= 1.000000 
-dualbound = 1417036.512897, lowerbound=1035295.512897, norm of subgrad 1018.261515	dualbound = 1417036.512897, lowerbound=1035295.512897, norm of subgrad 45.580431	 stepsize= 1.000000 
-dualbound = 1417522.391283, lowerbound=1034775.391283, norm of subgrad 1018.009033	dualbound = 1417522.391283, lowerbound=1034775.391283, norm of subgrad 45.308701	 stepsize= 1.000000 
-dualbound = 1417968.809331, lowerbound=1038643.809331, norm of subgrad 1019.941572	dualbound = 1417968.809331, lowerbound=1038643.809331, norm of subgrad 45.644474	 stepsize= 1.000000 
-dualbound = 1418420.956452, lowerbound=1036613.956452, norm of subgrad 1018.942568	dualbound = 1418420.956452, lowerbound=1036613.956452, norm of subgrad 45.630550	 stepsize= 1.000000 
-dualbound = 1418903.852838, lowerbound=1034648.852838, norm of subgrad 1017.952775	dualbound = 1418903.852838, lowerbound=1034648.852838, norm of subgrad 45.408109	 stepsize= 1.000000 
-dualbound = 1419345.147861, lowerbound=1035147.147861, norm of subgrad 1018.231382	dualbound = 1419345.147861, lowerbound=1035147.147861, norm of subgrad 45.708807	 stepsize= 1.000000 
-dualbound = 1419811.112924, lowerbound=1036419.112924, norm of subgrad 1018.824378	dualbound = 1419811.112924, lowerbound=1036419.112924, norm of subgrad 45.276540	 stepsize= 1.000000 
-dualbound = 1420284.931918, lowerbound=1034321.931918, norm of subgrad 1017.782851	dualbound = 1420284.931918, lowerbound=1034321.931918, norm of subgrad 45.097882	 stepsize= 1.000000 
-dualbound = 1420785.769532, lowerbound=1036687.769532, norm of subgrad 1018.945911	dualbound = 1420785.769532, lowerbound=1036687.769532, norm of subgrad 45.429480	 stepsize= 1.000000 
-dualbound = 1421247.127256, lowerbound=1035886.127256, norm of subgrad 1018.551976	dualbound = 1421247.127256, lowerbound=1035886.127256, norm of subgrad 44.981749	 stepsize= 1.000000 
-dualbound = 1421682.051643, lowerbound=1037005.051643, norm of subgrad 1019.181069	dualbound = 1421682.051643, lowerbound=1037005.051643, norm of subgrad 46.474987	 stepsize= 1.000000 
-dualbound = 1422124.215495, lowerbound=1034928.215495, norm of subgrad 1018.121415	dualbound = 1422124.215495, lowerbound=1034928.215495, norm of subgrad 45.663594	 stepsize= 1.000000 
-dualbound = 1422619.372115, lowerbound=1036540.372115, norm of subgrad 1018.880450	dualbound = 1422619.372115, lowerbound=1036540.372115, norm of subgrad 45.520947	 stepsize= 1.000000 
-dualbound = 1423109.145047, lowerbound=1036619.145047, norm of subgrad 1018.917143	dualbound = 1423109.145047, lowerbound=1036619.145047, norm of subgrad 45.417760	 stepsize= 1.000000 
-dualbound = 1423554.427192, lowerbound=1039818.427192, norm of subgrad 1020.502537	dualbound = 1423554.427192, lowerbound=1039818.427192, norm of subgrad 45.302121	 stepsize= 1.000000 
-dualbound = 1424017.879058, lowerbound=1034720.879058, norm of subgrad 1017.957209	dualbound = 1424017.879058, lowerbound=1034720.879058, norm of subgrad 44.491031	 stepsize= 1.000000 
-dualbound = 1424497.449514, lowerbound=1037871.449514, norm of subgrad 1019.544727	dualbound = 1424497.449514, lowerbound=1037871.449514, norm of subgrad 45.602308	 stepsize= 1.000000 
-dualbound = 1424953.431534, lowerbound=1037039.431534, norm of subgrad 1019.125817	dualbound = 1424953.431534, lowerbound=1037039.431534, norm of subgrad 45.099690	 stepsize= 1.000000 
-dualbound = 1425396.479164, lowerbound=1039339.479164, norm of subgrad 1020.273238	dualbound = 1425396.479164, lowerbound=1039339.479164, norm of subgrad 45.398762	 stepsize= 1.000000 
-dualbound = 1425849.771821, lowerbound=1034705.771821, norm of subgrad 1018.016587	dualbound = 1425849.771821, lowerbound=1034705.771821, norm of subgrad 45.883468	 stepsize= 1.000000 
-dualbound = 1426306.655866, lowerbound=1038659.655866, norm of subgrad 1019.978753	dualbound = 1426306.655866, lowerbound=1038659.655866, norm of subgrad 46.409956	 stepsize= 1.000000 
-dualbound = 1426764.329162, lowerbound=1037827.329162, norm of subgrad 1019.528484	dualbound = 1426764.329162, lowerbound=1037827.329162, norm of subgrad 45.482670	 stepsize= 1.000000 
-dualbound = 1427260.014994, lowerbound=1036757.014994, norm of subgrad 1019.024541	dualbound = 1427260.014994, lowerbound=1036757.014994, norm of subgrad 46.364705	 stepsize= 1.000000 
-dualbound = 1427688.746590, lowerbound=1037580.746590, norm of subgrad 1019.441880	dualbound = 1427688.746590, lowerbound=1037580.746590, norm of subgrad 45.931815	 stepsize= 1.000000 
-dualbound = 1428171.404497, lowerbound=1039159.404497, norm of subgrad 1020.186946	dualbound = 1428171.404497, lowerbound=1039159.404497, norm of subgrad 45.876551	 stepsize= 1.000000 
-dualbound = 1428654.007848, lowerbound=1036291.007848, norm of subgrad 1018.773777	dualbound = 1428654.007848, lowerbound=1036291.007848, norm of subgrad 45.734050	 stepsize= 1.000000 
-dualbound = 1429081.779545, lowerbound=1039633.779545, norm of subgrad 1020.434603	dualbound = 1429081.779545, lowerbound=1039633.779545, norm of subgrad 45.615477	 stepsize= 1.000000 
-dualbound = 1429552.656667, lowerbound=1036103.656667, norm of subgrad 1018.677896	dualbound = 1429552.656667, lowerbound=1036103.656667, norm of subgrad 45.517877	 stepsize= 1.000000 
-dualbound = 1430043.619475, lowerbound=1036401.619475, norm of subgrad 1018.806959	dualbound = 1430043.619475, lowerbound=1036401.619475, norm of subgrad 45.353752	 stepsize= 1.000000 
-dualbound = 1430490.852156, lowerbound=1039084.852156, norm of subgrad 1020.146486	dualbound = 1430490.852156, lowerbound=1039084.852156, norm of subgrad 45.400800	 stepsize= 1.000000 
-dualbound = 1430944.285953, lowerbound=1039191.285953, norm of subgrad 1020.203061	dualbound = 1430944.285953, lowerbound=1039191.285953, norm of subgrad 45.567903	 stepsize= 1.000000 
-dualbound = 1431389.391689, lowerbound=1036644.391689, norm of subgrad 1018.962409	dualbound = 1431389.391689, lowerbound=1036644.391689, norm of subgrad 45.662958	 stepsize= 1.000000 
-dualbound = 1431857.682229, lowerbound=1039590.682229, norm of subgrad 1020.378695	dualbound = 1431857.682229, lowerbound=1039590.682229, norm of subgrad 45.280134	 stepsize= 1.000000 
-dualbound = 1432308.156267, lowerbound=1038643.156267, norm of subgrad 1019.919681	dualbound = 1432308.156267, lowerbound=1038643.156267, norm of subgrad 45.204801	 stepsize= 1.000000 
-dualbound = 1432785.505727, lowerbound=1038992.505727, norm of subgrad 1020.115437	dualbound = 1432785.505727, lowerbound=1038992.505727, norm of subgrad 46.047252	 stepsize= 1.000000 
-dualbound = 1433206.697104, lowerbound=1036418.697104, norm of subgrad 1018.839878	dualbound = 1433206.697104, lowerbound=1036418.697104, norm of subgrad 45.135256	 stepsize= 1.000000 
-dualbound = 1433683.324639, lowerbound=1040017.324639, norm of subgrad 1020.565689	dualbound = 1433683.324639, lowerbound=1040017.324639, norm of subgrad 44.873461	 stepsize= 1.000000 
-dualbound = 1434153.471933, lowerbound=1037397.471933, norm of subgrad 1019.304406	dualbound = 1434153.471933, lowerbound=1037397.471933, norm of subgrad 45.322702	 stepsize= 1.000000 
-dualbound = 1434596.158775, lowerbound=1039714.158775, norm of subgrad 1020.473007	dualbound = 1434596.158775, lowerbound=1039714.158775, norm of subgrad 45.756823	 stepsize= 1.000000 
-dualbound = 1435029.178737, lowerbound=1039147.178737, norm of subgrad 1020.176543	dualbound = 1435029.178737, lowerbound=1039147.178737, norm of subgrad 45.232952	 stepsize= 1.000000 
-dualbound = 1435506.783653, lowerbound=1039722.783653, norm of subgrad 1020.465474	dualbound = 1435506.783653, lowerbound=1039722.783653, norm of subgrad 45.875973	 stepsize= 1.000000 
-dualbound = 1435962.717842, lowerbound=1035540.717842, norm of subgrad 1018.400077	dualbound = 1435962.717842, lowerbound=1035540.717842, norm of subgrad 45.320351	 stepsize= 1.000000 
-dualbound = 1436424.150446, lowerbound=1041122.150446, norm of subgrad 1021.111723	dualbound = 1436424.150446, lowerbound=1041122.150446, norm of subgrad 44.815540	 stepsize= 1.000000 
-dualbound = 1436868.358535, lowerbound=1036705.358535, norm of subgrad 1018.988890	dualbound = 1436868.358535, lowerbound=1036705.358535, norm of subgrad 45.576398	 stepsize= 1.000000 
-dualbound = 1437346.013971, lowerbound=1041024.013971, norm of subgrad 1021.093538	dualbound = 1437346.013971, lowerbound=1041024.013971, norm of subgrad 45.668977	 stepsize= 1.000000 
-dualbound = 1437763.509628, lowerbound=1038911.509628, norm of subgrad 1020.073286	dualbound = 1437763.509628, lowerbound=1038911.509628, norm of subgrad 45.337574	 stepsize= 1.000000 
-dualbound = 1438225.147399, lowerbound=1037551.147399, norm of subgrad 1019.408234	dualbound = 1438225.147399, lowerbound=1037551.147399, norm of subgrad 45.865431	 stepsize= 1.000000 
-dualbound = 1438686.401474, lowerbound=1039286.401474, norm of subgrad 1020.233993	dualbound = 1438686.401474, lowerbound=1039286.401474, norm of subgrad 45.301811	 stepsize= 1.000000 
-dualbound = 1439153.873836, lowerbound=1040144.873836, norm of subgrad 1020.670306	dualbound = 1439153.873836, lowerbound=1040144.873836, norm of subgrad 45.721684	 stepsize= 1.000000 
-dualbound = 1439603.388550, lowerbound=1036618.388550, norm of subgrad 1018.919226	dualbound = 1439603.388550, lowerbound=1036618.388550, norm of subgrad 45.027933	 stepsize= 1.000000 
-dualbound = 1440047.535084, lowerbound=1039461.535084, norm of subgrad 1020.300708	dualbound = 1440047.535084, lowerbound=1039461.535084, norm of subgrad 44.678256	 stepsize= 1.000000 
-dualbound = 1440523.705242, lowerbound=1038489.705242, norm of subgrad 1019.847883	dualbound = 1440523.705242, lowerbound=1038489.705242, norm of subgrad 45.565010	 stepsize= 1.000000 
-dualbound = 1440959.002848, lowerbound=1038000.002848, norm of subgrad 1019.590606	dualbound = 1440959.002848, lowerbound=1038000.002848, norm of subgrad 44.724687	 stepsize= 1.000000 
-dualbound = 1441409.760699, lowerbound=1039358.760699, norm of subgrad 1020.266024	dualbound = 1441409.760699, lowerbound=1039358.760699, norm of subgrad 45.108290	 stepsize= 1.000000 
-dualbound = 1441863.706282, lowerbound=1040984.706282, norm of subgrad 1021.110526	dualbound = 1441863.706282, lowerbound=1040984.706282, norm of subgrad 46.216291	 stepsize= 1.000000 
-dualbound = 1442279.815237, lowerbound=1037528.815237, norm of subgrad 1019.413466	dualbound = 1442279.815237, lowerbound=1037528.815237, norm of subgrad 45.728645	 stepsize= 1.000000 
-dualbound = 1442755.532842, lowerbound=1040715.532842, norm of subgrad 1020.939534	dualbound = 1442755.532842, lowerbound=1040715.532842, norm of subgrad 45.581988	 stepsize= 1.000000 
-dualbound = 1443198.204962, lowerbound=1038738.204962, norm of subgrad 1019.993238	dualbound = 1443198.204962, lowerbound=1038738.204962, norm of subgrad 45.723868	 stepsize= 1.000000 
-dualbound = 1443667.829776, lowerbound=1039601.829776, norm of subgrad 1020.391508	dualbound = 1443667.829776, lowerbound=1039601.829776, norm of subgrad 45.460145	 stepsize= 1.000000 
-dualbound = 1444132.395678, lowerbound=1037591.395678, norm of subgrad 1019.410318	dualbound = 1444132.395678, lowerbound=1037591.395678, norm of subgrad 45.503471	 stepsize= 1.000000 
-dualbound = 1444574.761115, lowerbound=1041147.761115, norm of subgrad 1021.159028	dualbound = 1444574.761115, lowerbound=1041147.761115, norm of subgrad 45.391248	 stepsize= 1.000000 
-dualbound = 1445010.466670, lowerbound=1036686.466670, norm of subgrad 1018.986490	dualbound = 1445010.466670, lowerbound=1036686.466670, norm of subgrad 45.636669	 stepsize= 1.000000 
-dualbound = 1445468.620948, lowerbound=1041578.620948, norm of subgrad 1021.361161	dualbound = 1445468.620948, lowerbound=1041578.620948, norm of subgrad 45.366885	 stepsize= 1.000000 
-dualbound = 1445921.305812, lowerbound=1037964.305812, norm of subgrad 1019.572119	dualbound = 1445921.305812, lowerbound=1037964.305812, norm of subgrad 44.896379	 stepsize= 1.000000 
-dualbound = 1446395.935928, lowerbound=1040271.935928, norm of subgrad 1020.710016	dualbound = 1446395.935928, lowerbound=1040271.935928, norm of subgrad 45.294924	 stepsize= 1.000000 
-dualbound = 1446843.630979, lowerbound=1039861.630979, norm of subgrad 1020.498717	dualbound = 1446843.630979, lowerbound=1039861.630979, norm of subgrad 44.762652	 stepsize= 1.000000 
-dualbound = 1447283.809915, lowerbound=1039952.809915, norm of subgrad 1020.556618	dualbound = 1447283.809915, lowerbound=1039952.809915, norm of subgrad 44.979761	 stepsize= 1.000000 
-dualbound = 1447708.957798, lowerbound=1039495.957798, norm of subgrad 1020.362170	dualbound = 1447708.957798, lowerbound=1039495.957798, norm of subgrad 45.476894	 stepsize= 1.000000 
-dualbound = 1448164.579275, lowerbound=1039353.579275, norm of subgrad 1020.244372	dualbound = 1448164.579275, lowerbound=1039353.579275, norm of subgrad 44.728307	 stepsize= 1.000000 
-dualbound = 1448627.207488, lowerbound=1038993.207488, norm of subgrad 1020.107449	dualbound = 1448627.207488, lowerbound=1038993.207488, norm of subgrad 45.701512	 stepsize= 1.000000 
-dualbound = 1449062.988022, lowerbound=1041153.988022, norm of subgrad 1021.162567	dualbound = 1449062.988022, lowerbound=1041153.988022, norm of subgrad 45.329687	 stepsize= 1.000000 
-dualbound = 1449509.898184, lowerbound=1040021.898184, norm of subgrad 1020.597814	dualbound = 1449509.898184, lowerbound=1040021.898184, norm of subgrad 45.220683	 stepsize= 1.000000 
-dualbound = 1449966.771927, lowerbound=1039135.771927, norm of subgrad 1020.171933	dualbound = 1449966.771927, lowerbound=1039135.771927, norm of subgrad 45.517840	 stepsize= 1.000000 
-dualbound = 1450417.656223, lowerbound=1039894.656223, norm of subgrad 1020.552133	dualbound = 1450417.656223, lowerbound=1039894.656223, norm of subgrad 45.638627	 stepsize= 1.000000 
-dualbound = 1450856.359285, lowerbound=1039091.359285, norm of subgrad 1020.158497	dualbound = 1450856.359285, lowerbound=1039091.359285, norm of subgrad 45.504978	 stepsize= 1.000000 
-dualbound = 1451326.505920, lowerbound=1039926.505920, norm of subgrad 1020.578515	dualbound = 1451326.505920, lowerbound=1039926.505920, norm of subgrad 46.088465	 stepsize= 1.000000 
-dualbound = 1451755.179543, lowerbound=1042830.179543, norm of subgrad 1021.987857	dualbound = 1451755.179543, lowerbound=1042830.179543, norm of subgrad 45.361588	 stepsize= 1.000000 
-dualbound = 1452229.628628, lowerbound=1039539.628628, norm of subgrad 1020.342408	dualbound = 1452229.628628, lowerbound=1039539.628628, norm of subgrad 45.093781	 stepsize= 1.000000 
-dualbound = 1452672.205887, lowerbound=1041145.205887, norm of subgrad 1021.171977	dualbound = 1452672.205887, lowerbound=1041145.205887, norm of subgrad 45.711894	 stepsize= 1.000000 
-dualbound = 1453098.809738, lowerbound=1038610.809738, norm of subgrad 1019.935689	dualbound = 1453098.809738, lowerbound=1038610.809738, norm of subgrad 45.657462	 stepsize= 1.000000 
-dualbound = 1453557.350910, lowerbound=1040806.350910, norm of subgrad 1020.979114	dualbound = 1453557.350910, lowerbound=1040806.350910, norm of subgrad 45.282902	 stepsize= 1.000000 
-dualbound = 1454018.237386, lowerbound=1039342.237386, norm of subgrad 1020.270179	dualbound = 1454018.237386, lowerbound=1039342.237386, norm of subgrad 45.496005	 stepsize= 1.000000 
-dualbound = 1454452.273600, lowerbound=1044560.273600, norm of subgrad 1022.834431	dualbound = 1454452.273600, lowerbound=1044560.273600, norm of subgrad 45.431665	 stepsize= 1.000000 
-dualbound = 1454900.536463, lowerbound=1039869.536463, norm of subgrad 1020.514349	dualbound = 1454900.536463, lowerbound=1039869.536463, norm of subgrad 45.036239	 stepsize= 1.000000 
-dualbound = 1455350.590219, lowerbound=1039357.590219, norm of subgrad 1020.263981	dualbound = 1455350.590219, lowerbound=1039357.590219, norm of subgrad 45.067214	 stepsize= 1.000000 
-dualbound = 1455801.848912, lowerbound=1039711.848912, norm of subgrad 1020.454727	dualbound = 1455801.848912, lowerbound=1039711.848912, norm of subgrad 45.467117	 stepsize= 1.000000 
-dualbound = 1456261.793198, lowerbound=1043189.793198, norm of subgrad 1022.159378	dualbound = 1456261.793198, lowerbound=1043189.793198, norm of subgrad 45.606406	 stepsize= 1.000000 
-dualbound = 1456685.178816, lowerbound=1039595.178816, norm of subgrad 1020.416179	dualbound = 1456685.178816, lowerbound=1039595.178816, norm of subgrad 45.578346	 stepsize= 1.000000 
-dualbound = 1457121.931603, lowerbound=1041331.931603, norm of subgrad 1021.271723	dualbound = 1457121.931603, lowerbound=1041331.931603, norm of subgrad 45.833970	 stepsize= 1.000000 
-dualbound = 1457576.900847, lowerbound=1042884.900847, norm of subgrad 1022.022945	dualbound = 1457576.900847, lowerbound=1042884.900847, norm of subgrad 45.836331	 stepsize= 1.000000 
-dualbound = 1458031.025865, lowerbound=1039554.025865, norm of subgrad 1020.369554	dualbound = 1458031.025865, lowerbound=1039554.025865, norm of subgrad 45.322456	 stepsize= 1.000000 
-dualbound = 1458453.745291, lowerbound=1039309.745291, norm of subgrad 1020.273368	dualbound = 1458453.745291, lowerbound=1039309.745291, norm of subgrad 45.505158	 stepsize= 1.000000 
-dualbound = 1458934.247245, lowerbound=1043111.247245, norm of subgrad 1022.128293	dualbound = 1458934.247245, lowerbound=1043111.247245, norm of subgrad 45.994586	 stepsize= 1.000000 
-dualbound = 1459336.071369, lowerbound=1040791.071369, norm of subgrad 1021.005912	dualbound = 1459336.071369, lowerbound=1040791.071369, norm of subgrad 45.429331	 stepsize= 1.000000 
-dualbound = 1459791.289918, lowerbound=1043205.289918, norm of subgrad 1022.189459	dualbound = 1459791.289918, lowerbound=1043205.289918, norm of subgrad 46.056688	 stepsize= 1.000000 
-dualbound = 1460231.275555, lowerbound=1041113.275555, norm of subgrad 1021.157322	dualbound = 1460231.275555, lowerbound=1041113.275555, norm of subgrad 45.705422	 stepsize= 1.000000 
-dualbound = 1460674.422914, lowerbound=1042099.422914, norm of subgrad 1021.618531	dualbound = 1460674.422914, lowerbound=1042099.422914, norm of subgrad 45.256462	 stepsize= 1.000000 
-dualbound = 1461120.197665, lowerbound=1040262.197665, norm of subgrad 1020.708184	dualbound = 1461120.197665, lowerbound=1040262.197665, norm of subgrad 45.041922	 stepsize= 1.000000 
-dualbound = 1461590.217203, lowerbound=1041038.217203, norm of subgrad 1021.092169	dualbound = 1461590.217203, lowerbound=1041038.217203, norm of subgrad 45.398453	 stepsize= 1.000000 
-dualbound = 1462029.035971, lowerbound=1040745.035971, norm of subgrad 1020.956432	dualbound = 1462029.035971, lowerbound=1040745.035971, norm of subgrad 45.230728	 stepsize= 1.000000 
-dualbound = 1462479.935816, lowerbound=1042173.935816, norm of subgrad 1021.664297	dualbound = 1462479.935816, lowerbound=1042173.935816, norm of subgrad 45.551069	 stepsize= 1.000000 
-dualbound = 1462904.171414, lowerbound=1040308.171414, norm of subgrad 1020.753237	dualbound = 1462904.171414, lowerbound=1040308.171414, norm of subgrad 45.312643	 stepsize= 1.000000 
-dualbound = 1463362.890041, lowerbound=1043799.890041, norm of subgrad 1022.463638	dualbound = 1463362.890041, lowerbound=1043799.890041, norm of subgrad 45.724377	 stepsize= 1.000000 
-dualbound = 1463752.453340, lowerbound=1039662.453340, norm of subgrad 1020.458453	dualbound = 1463752.453340, lowerbound=1039662.453340, norm of subgrad 45.415452	 stepsize= 1.000000 
-dualbound = 1464254.050850, lowerbound=1043028.050850, norm of subgrad 1022.054818	dualbound = 1464254.050850, lowerbound=1043028.050850, norm of subgrad 45.492829	 stepsize= 1.000000 
-dualbound = 1464667.249333, lowerbound=1039628.249333, norm of subgrad 1020.446593	dualbound = 1464667.249333, lowerbound=1039628.249333, norm of subgrad 45.784260	 stepsize= 1.000000 
-dualbound = 1465100.562000, lowerbound=1043128.562000, norm of subgrad 1022.134806	dualbound = 1465100.562000, lowerbound=1043128.562000, norm of subgrad 45.434708	 stepsize= 1.000000 
-dualbound = 1465559.219394, lowerbound=1042260.219394, norm of subgrad 1021.681075	dualbound = 1465559.219394, lowerbound=1042260.219394, norm of subgrad 45.062816	 stepsize= 1.000000 
-dualbound = 1466031.846300, lowerbound=1042820.846300, norm of subgrad 1021.975952	dualbound = 1466031.846300, lowerbound=1042820.846300, norm of subgrad 45.679611	 stepsize= 1.000000 
-dualbound = 1466412.942816, lowerbound=1041268.942816, norm of subgrad 1021.245780	dualbound = 1466412.942816, lowerbound=1041268.942816, norm of subgrad 45.333172	 stepsize= 1.000000 
-dualbound = 1466886.267212, lowerbound=1041678.267212, norm of subgrad 1021.424626	dualbound = 1466886.267212, lowerbound=1041678.267212, norm of subgrad 45.862015	 stepsize= 1.000000 
-dualbound = 1467325.342770, lowerbound=1041067.342770, norm of subgrad 1021.102513	dualbound = 1467325.342770, lowerbound=1041067.342770, norm of subgrad 44.967494	 stepsize= 1.000000 
-dualbound = 1467779.709222, lowerbound=1041864.709222, norm of subgrad 1021.529593	dualbound = 1467779.709222, lowerbound=1041864.709222, norm of subgrad 45.960488	 stepsize= 1.000000 
-dualbound = 1468195.704126, lowerbound=1041472.704126, norm of subgrad 1021.307840	dualbound = 1468195.704126, lowerbound=1041472.704126, norm of subgrad 44.866412	 stepsize= 1.000000 
-dualbound = 1468671.455677, lowerbound=1043690.455677, norm of subgrad 1022.401318	dualbound = 1468671.455677, lowerbound=1043690.455677, norm of subgrad 45.713800	 stepsize= 1.000000 
-dualbound = 1469094.318716, lowerbound=1039568.318716, norm of subgrad 1020.369207	dualbound = 1469094.318716, lowerbound=1039568.318716, norm of subgrad 44.809185	 stepsize= 1.000000 
-dualbound = 1469552.905179, lowerbound=1044863.905179, norm of subgrad 1022.982358	dualbound = 1469552.905179, lowerbound=1044863.905179, norm of subgrad 45.690113	 stepsize= 1.000000 
-dualbound = 1469960.866924, lowerbound=1040895.866924, norm of subgrad 1021.055271	dualbound = 1469960.866924, lowerbound=1040895.866924, norm of subgrad 45.452852	 stepsize= 1.000000 
-dualbound = 1470439.421375, lowerbound=1041835.421375, norm of subgrad 1021.457499	dualbound = 1470439.421375, lowerbound=1041835.421375, norm of subgrad 44.928326	 stepsize= 1.000000 
-dualbound = 1470880.784989, lowerbound=1043467.784989, norm of subgrad 1022.278233	dualbound = 1470880.784989, lowerbound=1043467.784989, norm of subgrad 45.015149	 stepsize= 1.000000 
-dualbound = 1471310.352703, lowerbound=1043065.352703, norm of subgrad 1022.089699	dualbound = 1471310.352703, lowerbound=1043065.352703, norm of subgrad 45.072916	 stepsize= 1.000000 
-dualbound = 1471730.411042, lowerbound=1041606.411042, norm of subgrad 1021.407564	dualbound = 1471730.411042, lowerbound=1041606.411042, norm of subgrad 45.684334	 stepsize= 1.000000 
-dualbound = 1472175.713692, lowerbound=1043426.713692, norm of subgrad 1022.262546	dualbound = 1472175.713692, lowerbound=1043426.713692, norm of subgrad 45.158639	 stepsize= 1.000000 
-dualbound = 1472625.914271, lowerbound=1040611.914271, norm of subgrad 1020.872624	dualbound = 1472625.914271, lowerbound=1040611.914271, norm of subgrad 44.935516	 stepsize= 1.000000 
-dualbound = 1473042.140895, lowerbound=1044200.140895, norm of subgrad 1022.666681	dualbound = 1473042.140895, lowerbound=1044200.140895, norm of subgrad 45.422754	 stepsize= 1.000000 
-dualbound = 1473486.141619, lowerbound=1040784.141619, norm of subgrad 1020.982929	dualbound = 1473486.141619, lowerbound=1040784.141619, norm of subgrad 45.453281	 stepsize= 1.000000 
-dualbound = 1473917.059807, lowerbound=1043662.059807, norm of subgrad 1022.418241	dualbound = 1473917.059807, lowerbound=1043662.059807, norm of subgrad 45.912070	 stepsize= 1.000000 
-dualbound = 1474343.846457, lowerbound=1040588.846457, norm of subgrad 1020.875040	dualbound = 1474343.846457, lowerbound=1040588.846457, norm of subgrad 44.986516	 stepsize= 1.000000 
-dualbound = 1474812.134228, lowerbound=1042993.134228, norm of subgrad 1022.040182	dualbound = 1474812.134228, lowerbound=1042993.134228, norm of subgrad 45.180613	 stepsize= 1.000000 
-dualbound = 1475256.569271, lowerbound=1042407.569271, norm of subgrad 1021.764929	dualbound = 1475256.569271, lowerbound=1042407.569271, norm of subgrad 45.171175	 stepsize= 1.000000 
-dualbound = 1475679.562645, lowerbound=1045464.562645, norm of subgrad 1023.302772	dualbound = 1475679.562645, lowerbound=1045464.562645, norm of subgrad 45.901998	 stepsize= 1.000000 
-dualbound = 1476113.352518, lowerbound=1038202.352518, norm of subgrad 1019.720232	dualbound = 1476113.352518, lowerbound=1038202.352518, norm of subgrad 45.395924	 stepsize= 1.000000 
-dualbound = 1476575.566100, lowerbound=1046641.566100, norm of subgrad 1023.812759	dualbound = 1476575.566100, lowerbound=1046641.566100, norm of subgrad 44.868849	 stepsize= 1.000000 
-dualbound = 1477024.335386, lowerbound=1041058.335386, norm of subgrad 1021.106917	dualbound = 1477024.335386, lowerbound=1041058.335386, norm of subgrad 45.274378	 stepsize= 1.000000 
-dualbound = 1477411.637192, lowerbound=1044264.637192, norm of subgrad 1022.687458	dualbound = 1477411.637192, lowerbound=1044264.637192, norm of subgrad 44.858687	 stepsize= 1.000000 
-dualbound = 1477880.095032, lowerbound=1041972.095032, norm of subgrad 1021.545444	dualbound = 1477880.095032, lowerbound=1041972.095032, norm of subgrad 45.293022	 stepsize= 1.000000 
-dualbound = 1478297.161700, lowerbound=1044334.161700, norm of subgrad 1022.744915	dualbound = 1478297.161700, lowerbound=1044334.161700, norm of subgrad 45.717247	 stepsize= 1.000000 
-dualbound = 1478740.930307, lowerbound=1043755.930307, norm of subgrad 1022.410353	dualbound = 1478740.930307, lowerbound=1043755.930307, norm of subgrad 44.841595	 stepsize= 1.000000 
-dualbound = 1479194.324941, lowerbound=1043061.324941, norm of subgrad 1022.074520	dualbound = 1479194.324941, lowerbound=1043061.324941, norm of subgrad 45.037702	 stepsize= 1.000000 
-dualbound = 1479609.794906, lowerbound=1043158.794906, norm of subgrad 1022.153019	dualbound = 1479609.794906, lowerbound=1043158.794906, norm of subgrad 45.315229	 stepsize= 1.000000 
-dualbound = 1480032.855462, lowerbound=1042823.855462, norm of subgrad 1021.986231	dualbound = 1480032.855462, lowerbound=1042823.855462, norm of subgrad 45.332776	 stepsize= 1.000000 
-dualbound = 1480484.386826, lowerbound=1044097.386826, norm of subgrad 1022.589061	dualbound = 1480484.386826, lowerbound=1044097.386826, norm of subgrad 45.194373	 stepsize= 1.000000 
-dualbound = 1480929.408205, lowerbound=1043787.408205, norm of subgrad 1022.461935	dualbound = 1480929.408205, lowerbound=1043787.408205, norm of subgrad 45.672983	 stepsize= 1.000000 
-dualbound = 1481340.396374, lowerbound=1041994.396374, norm of subgrad 1021.557339	dualbound = 1481340.396374, lowerbound=1041994.396374, norm of subgrad 44.676483	 stepsize= 1.000000 
-dualbound = 1481810.699100, lowerbound=1042878.699100, norm of subgrad 1021.972455	dualbound = 1481810.699100, lowerbound=1042878.699100, norm of subgrad 44.936652	 stepsize= 1.000000 
-dualbound = 1482225.178197, lowerbound=1045028.178197, norm of subgrad 1023.067045	dualbound = 1482225.178197, lowerbound=1045028.178197, norm of subgrad 45.304294	 stepsize= 1.000000 
-dualbound = 1482670.581894, lowerbound=1042925.581894, norm of subgrad 1022.049696	dualbound = 1482670.581894, lowerbound=1042925.581894, norm of subgrad 45.884678	 stepsize= 1.000000 
-dualbound = 1483067.462463, lowerbound=1042941.462463, norm of subgrad 1022.049149	dualbound = 1483067.462463, lowerbound=1042941.462463, norm of subgrad 45.165037	 stepsize= 1.000000 
-dualbound = 1483536.428526, lowerbound=1044828.428526, norm of subgrad 1022.954754	dualbound = 1483536.428526, lowerbound=1044828.428526, norm of subgrad 45.573743	 stepsize= 1.000000 
-dualbound = 1483970.803074, lowerbound=1041935.803074, norm of subgrad 1021.501739	dualbound = 1483970.803074, lowerbound=1041935.803074, norm of subgrad 44.321265	 stepsize= 1.000000 
-dualbound = 1484396.896037, lowerbound=1045820.896037, norm of subgrad 1023.424104	dualbound = 1484396.896037, lowerbound=1045820.896037, norm of subgrad 44.744753	 stepsize= 1.000000 
-dualbound = 1484828.042007, lowerbound=1042873.042007, norm of subgrad 1021.991214	dualbound = 1484828.042007, lowerbound=1042873.042007, norm of subgrad 44.990510	 stepsize= 1.000000 
-dualbound = 1485248.828298, lowerbound=1046551.828298, norm of subgrad 1023.796283	dualbound = 1485248.828298, lowerbound=1046551.828298, norm of subgrad 45.030948	 stepsize= 1.000000 
-dualbound = 1485672.898293, lowerbound=1044923.898293, norm of subgrad 1022.985776	dualbound = 1485672.898293, lowerbound=1044923.898293, norm of subgrad 44.722142	 stepsize= 1.000000 
-dualbound = 1486101.401287, lowerbound=1045242.401287, norm of subgrad 1023.148279	dualbound = 1486101.401287, lowerbound=1045242.401287, norm of subgrad 44.927753	 stepsize= 1.000000 
-dualbound = 1486543.030984, lowerbound=1044868.030984, norm of subgrad 1022.985352	dualbound = 1486543.030984, lowerbound=1044868.030984, norm of subgrad 45.526143	 stepsize= 1.000000 
-dualbound = 1486970.063824, lowerbound=1044309.063824, norm of subgrad 1022.691578	dualbound = 1486970.063824, lowerbound=1044309.063824, norm of subgrad 44.900254	 stepsize= 1.000000 
-dualbound = 1487394.820110, lowerbound=1045284.820110, norm of subgrad 1023.161190	dualbound = 1487394.820110, lowerbound=1045284.820110, norm of subgrad 44.707452	 stepsize= 1.000000 
-dualbound = 1487823.983762, lowerbound=1047209.983762, norm of subgrad 1024.134261	dualbound = 1487823.983762, lowerbound=1047209.983762, norm of subgrad 45.499051	 stepsize= 1.000000 
-dualbound = 1488246.433673, lowerbound=1044138.433673, norm of subgrad 1022.618420	dualbound = 1488246.433673, lowerbound=1044138.433673, norm of subgrad 45.082701	 stepsize= 1.000000 
-dualbound = 1488680.621661, lowerbound=1048571.621661, norm of subgrad 1024.785159	dualbound = 1488680.621661, lowerbound=1048571.621661, norm of subgrad 45.245862	 stepsize= 1.000000 
-dualbound = 1489115.767660, lowerbound=1043977.767660, norm of subgrad 1022.529593	dualbound = 1489115.767660, lowerbound=1043977.767660, norm of subgrad 44.990510	 stepsize= 1.000000 
-dualbound = 1489553.225446, lowerbound=1044494.225446, norm of subgrad 1022.784545	dualbound = 1489553.225446, lowerbound=1044494.225446, norm of subgrad 45.071696	 stepsize= 1.000000 
-dualbound = 1489961.913761, lowerbound=1046551.913761, norm of subgrad 1023.764579	dualbound = 1489961.913761, lowerbound=1046551.913761, norm of subgrad 44.166597	 stepsize= 1.000000 
-dualbound = 1490419.557167, lowerbound=1047555.557167, norm of subgrad 1024.276114	dualbound = 1490419.557167, lowerbound=1047555.557167, norm of subgrad 45.206674	 stepsize= 1.000000 
-dualbound = 1490781.693120, lowerbound=1044250.693120, norm of subgrad 1022.707042	dualbound = 1490781.693120, lowerbound=1044250.693120, norm of subgrad 45.178933	 stepsize= 1.000000 
-dualbound = 1491217.484170, lowerbound=1048811.484170, norm of subgrad 1024.879741	dualbound = 1491217.484170, lowerbound=1048811.484170, norm of subgrad 44.752554	 stepsize= 1.000000 
-dualbound = 1491677.637852, lowerbound=1045366.637852, norm of subgrad 1023.173318	dualbound = 1491677.637852, lowerbound=1045366.637852, norm of subgrad 44.465196	 stepsize= 1.000000 
-dualbound = 1492105.144049, lowerbound=1045652.144049, norm of subgrad 1023.335792	dualbound = 1492105.144049, lowerbound=1045652.144049, norm of subgrad 44.626295	 stepsize= 1.000000 
-dualbound = 1492519.114006, lowerbound=1047318.114006, norm of subgrad 1024.187050	dualbound = 1492519.114006, lowerbound=1047318.114006, norm of subgrad 45.331776	 stepsize= 1.000000 
-dualbound = 1492895.983197, lowerbound=1045352.983197, norm of subgrad 1023.224307	dualbound = 1492895.983197, lowerbound=1045352.983197, norm of subgrad 44.853865	 stepsize= 1.000000 
-dualbound = 1493357.667877, lowerbound=1046910.667877, norm of subgrad 1023.969076	dualbound = 1493357.667877, lowerbound=1046910.667877, norm of subgrad 45.427796	 stepsize= 1.000000 
-dualbound = 1493778.509894, lowerbound=1045582.509894, norm of subgrad 1023.276360	dualbound = 1493778.509894, lowerbound=1045582.509894, norm of subgrad 43.964099	 stepsize= 1.000000 
-dualbound = 1494243.363958, lowerbound=1047094.363958, norm of subgrad 1024.039239	dualbound = 1494243.363958, lowerbound=1047094.363958, norm of subgrad 45.020596	 stepsize= 1.000000 
-dualbound = 1494650.983479, lowerbound=1045236.983479, norm of subgrad 1023.131460	dualbound = 1494650.983479, lowerbound=1045236.983479, norm of subgrad 44.369128	 stepsize= 1.000000 
-dualbound = 1495068.949805, lowerbound=1046800.949805, norm of subgrad 1023.915988	dualbound = 1495068.949805, lowerbound=1046800.949805, norm of subgrad 44.955159	 stepsize= 1.000000 
-dualbound = 1495480.147744, lowerbound=1047119.147744, norm of subgrad 1024.087959	dualbound = 1495480.147744, lowerbound=1047119.147744, norm of subgrad 45.257021	 stepsize= 1.000000 
-dualbound = 1495894.444500, lowerbound=1044630.444500, norm of subgrad 1022.868733	dualbound = 1495894.444500, lowerbound=1044630.444500, norm of subgrad 45.213900	 stepsize= 1.000000 
-dualbound = 1496308.103319, lowerbound=1047487.103319, norm of subgrad 1024.249044	dualbound = 1496308.103319, lowerbound=1047487.103319, norm of subgrad 44.862666	 stepsize= 1.000000 
-dualbound = 1496752.360169, lowerbound=1047160.360169, norm of subgrad 1024.087574	dualbound = 1496752.360169, lowerbound=1047160.360169, norm of subgrad 45.158132	 stepsize= 1.000000 
-dualbound = 1497166.398520, lowerbound=1047386.398520, norm of subgrad 1024.185236	dualbound = 1497166.398520, lowerbound=1047386.398520, norm of subgrad 44.531319	 stepsize= 1.000000 
-dualbound = 1497604.738195, lowerbound=1044275.738195, norm of subgrad 1022.668440	dualbound = 1497604.738195, lowerbound=1044275.738195, norm of subgrad 44.870254	 stepsize= 1.000000 
-dualbound = 1498003.960489, lowerbound=1047914.960489, norm of subgrad 1024.476432	dualbound = 1498003.960489, lowerbound=1047914.960489, norm of subgrad 45.124520	 stepsize= 1.000000 
-dualbound = 1498448.953344, lowerbound=1045538.953344, norm of subgrad 1023.287815	dualbound = 1498448.953344, lowerbound=1045538.953344, norm of subgrad 44.988808	 stepsize= 1.000000 
-dualbound = 1498864.927102, lowerbound=1049310.927102, norm of subgrad 1025.136053	dualbound = 1498864.927102, lowerbound=1049310.927102, norm of subgrad 44.821577	 stepsize= 1.000000 
-dualbound = 1499289.786489, lowerbound=1045548.786489, norm of subgrad 1023.307767	dualbound = 1499289.786489, lowerbound=1045548.786489, norm of subgrad 45.109416	 stepsize= 1.000000 
-dualbound = 1499708.674368, lowerbound=1049134.674368, norm of subgrad 1025.059839	dualbound = 1499708.674368, lowerbound=1049134.674368, norm of subgrad 45.076467	 stepsize= 1.000000 
-dualbound = 1500143.936095, lowerbound=1046530.936095, norm of subgrad 1023.756776	dualbound = 1500143.936095, lowerbound=1046530.936095, norm of subgrad 44.522598	 stepsize= 1.000000 
-dualbound = 1500560.050985, lowerbound=1045793.050985, norm of subgrad 1023.399263	dualbound = 1500560.050985, lowerbound=1045793.050985, norm of subgrad 44.374710	 stepsize= 1.000000 
-dualbound = 1500971.300652, lowerbound=1045860.300652, norm of subgrad 1023.417462	dualbound = 1500971.300652, lowerbound=1045860.300652, norm of subgrad 43.980105	 stepsize= 1.000000 
-dualbound = 1501413.141477, lowerbound=1047266.141477, norm of subgrad 1024.163142	dualbound = 1501413.141477, lowerbound=1047266.141477, norm of subgrad 45.671006	 stepsize= 1.000000 
-dualbound = 1501802.886179, lowerbound=1048033.886179, norm of subgrad 1024.532521	dualbound = 1501802.886179, lowerbound=1048033.886179, norm of subgrad 44.974934	 stepsize= 1.000000 
-dualbound = 1502263.501324, lowerbound=1046652.501324, norm of subgrad 1023.821030	dualbound = 1502263.501324, lowerbound=1046652.501324, norm of subgrad 44.917871	 stepsize= 1.000000 
-dualbound = 1502663.049152, lowerbound=1049235.049152, norm of subgrad 1025.090264	dualbound = 1502663.049152, lowerbound=1049235.049152, norm of subgrad 44.435884	 stepsize= 1.000000 
-dualbound = 1503099.223546, lowerbound=1048137.223546, norm of subgrad 1024.568311	dualbound = 1503099.223546, lowerbound=1048137.223546, norm of subgrad 45.157219	 stepsize= 1.000000 
-dualbound = 1503506.682273, lowerbound=1047546.682273, norm of subgrad 1024.282521	dualbound = 1503506.682273, lowerbound=1047546.682273, norm of subgrad 44.893861	 stepsize= 1.000000 
-dualbound = 1503922.039941, lowerbound=1047637.039941, norm of subgrad 1024.374463	dualbound = 1503922.039941, lowerbound=1047637.039941, norm of subgrad 46.058199	 stepsize= 1.000000 
-dualbound = 1504340.520325, lowerbound=1049242.520325, norm of subgrad 1025.090981	dualbound = 1504340.520325, lowerbound=1049242.520325, norm of subgrad 44.581166	 stepsize= 1.000000 
-dualbound = 1504776.209132, lowerbound=1043588.209132, norm of subgrad 1022.321969	dualbound = 1504776.209132, lowerbound=1043588.209132, norm of subgrad 44.605928	 stepsize= 1.000000 
-dualbound = 1505192.494770, lowerbound=1048467.494770, norm of subgrad 1024.714836	dualbound = 1505192.494770, lowerbound=1048467.494770, norm of subgrad 44.601408	 stepsize= 1.000000 
-dualbound = 1505611.250279, lowerbound=1047946.250279, norm of subgrad 1024.473645	dualbound = 1505611.250279, lowerbound=1047946.250279, norm of subgrad 44.930563	 stepsize= 1.000000 
-dualbound = 1506013.715415, lowerbound=1047060.715415, norm of subgrad 1024.041852	dualbound = 1506013.715415, lowerbound=1047060.715415, norm of subgrad 44.760084	 stepsize= 1.000000 
-dualbound = 1506444.214583, lowerbound=1046923.214583, norm of subgrad 1023.989363	dualbound = 1506444.214583, lowerbound=1046923.214583, norm of subgrad 45.403735	 stepsize= 1.000000 
-dualbound = 1506837.825524, lowerbound=1048968.825524, norm of subgrad 1024.974549	dualbound = 1506837.825524, lowerbound=1048968.825524, norm of subgrad 44.694641	 stepsize= 1.000000 
-dualbound = 1507307.596203, lowerbound=1047040.596203, norm of subgrad 1024.033494	dualbound = 1507307.596203, lowerbound=1047040.596203, norm of subgrad 45.538672	 stepsize= 1.000000 
-dualbound = 1507686.766516, lowerbound=1048861.766516, norm of subgrad 1024.943299	dualbound = 1507686.766516, lowerbound=1048861.766516, norm of subgrad 45.013002	 stepsize= 1.000000 
-dualbound = 1508114.379312, lowerbound=1048103.379312, norm of subgrad 1024.562043	dualbound = 1508114.379312, lowerbound=1048103.379312, norm of subgrad 45.294733	 stepsize= 1.000000 
-dualbound = 1508555.952153, lowerbound=1047734.952153, norm of subgrad 1024.329025	dualbound = 1508555.952153, lowerbound=1047734.952153, norm of subgrad 44.233164	 stepsize= 1.000000 
-dualbound = 1508980.271988, lowerbound=1049458.271988, norm of subgrad 1025.222060	dualbound = 1508980.271988, lowerbound=1049458.271988, norm of subgrad 45.236267	 stepsize= 1.000000 
-dualbound = 1509375.628393, lowerbound=1048447.628393, norm of subgrad 1024.708558	dualbound = 1509375.628393, lowerbound=1048447.628393, norm of subgrad 44.444982	 stepsize= 1.000000 
-dualbound = 1509784.816058, lowerbound=1047336.816058, norm of subgrad 1024.201062	dualbound = 1509784.816058, lowerbound=1047336.816058, norm of subgrad 45.389290	 stepsize= 1.000000 
-dualbound = 1510207.662536, lowerbound=1047965.662536, norm of subgrad 1024.462621	dualbound = 1510207.662536, lowerbound=1047965.662536, norm of subgrad 44.506701	 stepsize= 1.000000 
-dualbound = 1510673.144404, lowerbound=1048201.144404, norm of subgrad 1024.578520	dualbound = 1510673.144404, lowerbound=1048201.144404, norm of subgrad 45.005354	 stepsize= 1.000000 
-dualbound = 1511066.405282, lowerbound=1049712.405282, norm of subgrad 1025.351357	dualbound = 1511066.405282, lowerbound=1049712.405282, norm of subgrad 45.014008	 stepsize= 1.000000 
-dualbound = 1511491.376592, lowerbound=1048166.376592, norm of subgrad 1024.568874	dualbound = 1511491.376592, lowerbound=1048166.376592, norm of subgrad 44.721039	 stepsize= 1.000000 
-dualbound = 1511904.785041, lowerbound=1049623.785041, norm of subgrad 1025.272542	dualbound = 1511904.785041, lowerbound=1049623.785041, norm of subgrad 44.423062	 stepsize= 1.000000 
-dualbound = 1512353.259133, lowerbound=1047699.259133, norm of subgrad 1024.356998	dualbound = 1512353.259133, lowerbound=1047699.259133, norm of subgrad 45.348364	 stepsize= 1.000000 
-dualbound = 1512710.144539, lowerbound=1049843.144539, norm of subgrad 1025.428761	dualbound = 1512710.144539, lowerbound=1049843.144539, norm of subgrad 44.920879	 stepsize= 1.000000 
-dualbound = 1513136.973255, lowerbound=1047591.973255, norm of subgrad 1024.285592	dualbound = 1513136.973255, lowerbound=1047591.973255, norm of subgrad 44.674699	 stepsize= 1.000000 
-dualbound = 1513595.996488, lowerbound=1050585.996488, norm of subgrad 1025.757280	dualbound = 1513595.996488, lowerbound=1050585.996488, norm of subgrad 45.288224	 stepsize= 1.000000 
-dualbound = 1513979.657226, lowerbound=1049284.657225, norm of subgrad 1025.136409	dualbound = 1513979.657226, lowerbound=1049284.657225, norm of subgrad 44.762269	 stepsize= 1.000000 
-dualbound = 1514405.918316, lowerbound=1049898.918316, norm of subgrad 1025.434015	dualbound = 1514405.918316, lowerbound=1049898.918316, norm of subgrad 45.191383	 stepsize= 1.000000 
-dualbound = 1514780.094607, lowerbound=1049031.094607, norm of subgrad 1025.008827	dualbound = 1514780.094607, lowerbound=1049031.094607, norm of subgrad 44.566538	 stepsize= 1.000000 
-dualbound = 1515249.570003, lowerbound=1050258.570003, norm of subgrad 1025.598640	dualbound = 1515249.570003, lowerbound=1050258.570003, norm of subgrad 45.425493	 stepsize= 1.000000 
-dualbound = 1515650.850498, lowerbound=1049194.850498, norm of subgrad 1025.062364	dualbound = 1515650.850498, lowerbound=1049194.850498, norm of subgrad 44.263761	 stepsize= 1.000000 
-dualbound = 1516066.503623, lowerbound=1050032.503623, norm of subgrad 1025.482084	dualbound = 1516066.503623, lowerbound=1050032.503623, norm of subgrad 44.683925	 stepsize= 1.000000 
-dualbound = 1516472.383009, lowerbound=1047930.383009, norm of subgrad 1024.461997	dualbound = 1516472.383009, lowerbound=1047930.383009, norm of subgrad 44.697644	 stepsize= 1.000000 
-dualbound = 1516875.790918, lowerbound=1051154.790918, norm of subgrad 1026.016954	dualbound = 1516875.790918, lowerbound=1051154.790918, norm of subgrad 44.265200	 stepsize= 1.000000 
-dualbound = 1517307.744546, lowerbound=1048561.744546, norm of subgrad 1024.747161	dualbound = 1517307.744546, lowerbound=1048561.744546, norm of subgrad 44.462947	 stepsize= 1.000000 
-dualbound = 1517719.011341, lowerbound=1047025.011341, norm of subgrad 1023.995123	dualbound = 1517719.011341, lowerbound=1047025.011341, norm of subgrad 44.184463	 stepsize= 1.000000 
-dualbound = 1518161.994976, lowerbound=1053019.994976, norm of subgrad 1026.930375	dualbound = 1518161.994976, lowerbound=1053019.994976, norm of subgrad 44.821687	 stepsize= 1.000000 
-dualbound = 1518534.359526, lowerbound=1048518.359526, norm of subgrad 1024.750389	dualbound = 1518534.359526, lowerbound=1048518.359526, norm of subgrad 44.354983	 stepsize= 1.000000 
-dualbound = 1518971.407571, lowerbound=1051590.407571, norm of subgrad 1026.226782	dualbound = 1518971.407571, lowerbound=1051590.407571, norm of subgrad 44.587532	 stepsize= 1.000000 
-dualbound = 1519395.810702, lowerbound=1049887.810702, norm of subgrad 1025.415433	dualbound = 1519395.810702, lowerbound=1049887.810702, norm of subgrad 44.870961	 stepsize= 1.000000 
-dualbound = 1519778.762116, lowerbound=1049600.762116, norm of subgrad 1025.260826	dualbound = 1519778.762116, lowerbound=1049600.762116, norm of subgrad 44.067578	 stepsize= 1.000000 
-dualbound = 1520184.941651, lowerbound=1048869.941651, norm of subgrad 1024.943872	dualbound = 1520184.941651, lowerbound=1048869.941651, norm of subgrad 45.234716	 stepsize= 1.000000 
-dualbound = 1520571.334146, lowerbound=1051240.334146, norm of subgrad 1026.087878	dualbound = 1520571.334146, lowerbound=1051240.334146, norm of subgrad 44.748100	 stepsize= 1.000000 
-dualbound = 1521007.859289, lowerbound=1049796.859289, norm of subgrad 1025.349628	dualbound = 1521007.859289, lowerbound=1049796.859289, norm of subgrad 44.514325	 stepsize= 1.000000 
-dualbound = 1521426.917436, lowerbound=1048279.917436, norm of subgrad 1024.630625	dualbound = 1521426.917436, lowerbound=1048279.917436, norm of subgrad 44.800203	 stepsize= 1.000000 
-dualbound = 1521865.323073, lowerbound=1052131.323073, norm of subgrad 1026.508316	dualbound = 1521865.323073, lowerbound=1052131.323073, norm of subgrad 45.015615	 stepsize= 1.000000 
-dualbound = 1522246.111141, lowerbound=1048712.111140, norm of subgrad 1024.837602	dualbound = 1522246.111141, lowerbound=1048712.111140, norm of subgrad 44.280787	 stepsize= 1.000000 
-dualbound = 1522651.168744, lowerbound=1049727.168744, norm of subgrad 1025.349779	dualbound = 1522651.168744, lowerbound=1049727.168744, norm of subgrad 44.945051	 stepsize= 1.000000 
-dualbound = 1523061.422381, lowerbound=1051601.422381, norm of subgrad 1026.270151	dualbound = 1523061.422381, lowerbound=1051601.422381, norm of subgrad 45.158096	 stepsize= 1.000000 
-dualbound = 1523452.712676, lowerbound=1048823.712676, norm of subgrad 1024.903758	dualbound = 1523452.712676, lowerbound=1048823.712676, norm of subgrad 44.668672	 stepsize= 1.000000 
-dualbound = 1523879.283825, lowerbound=1050803.283825, norm of subgrad 1025.858316	dualbound = 1523879.283825, lowerbound=1050803.283825, norm of subgrad 44.817085	 stepsize= 1.000000 
-dualbound = 1524301.677409, lowerbound=1050982.677409, norm of subgrad 1025.980349	dualbound = 1524301.677409, lowerbound=1050982.677409, norm of subgrad 45.556488	 stepsize= 1.000000 
-dualbound = 1524674.798739, lowerbound=1049719.798739, norm of subgrad 1025.373492	dualbound = 1524674.798739, lowerbound=1049719.798739, norm of subgrad 45.211960	 stepsize= 1.000000 
-dualbound = 1525113.583481, lowerbound=1052819.583481, norm of subgrad 1026.805524	dualbound = 1525113.583481, lowerbound=1052819.583481, norm of subgrad 44.145042	 stepsize= 1.000000 
-dualbound = 1525562.741790, lowerbound=1048528.741790, norm of subgrad 1024.736426	dualbound = 1525562.741790, lowerbound=1048528.741790, norm of subgrad 44.778994	 stepsize= 1.000000 
-dualbound = 1525947.606538, lowerbound=1054384.606538, norm of subgrad 1027.606737	dualbound = 1525947.606538, lowerbound=1054384.606538, norm of subgrad 44.450700	 stepsize= 1.000000 
-dualbound = 1526349.165576, lowerbound=1050068.165576, norm of subgrad 1025.517999	dualbound = 1526349.165576, lowerbound=1050068.165576, norm of subgrad 44.950629	 stepsize= 1.000000 
-dualbound = 1526770.721159, lowerbound=1048888.721159, norm of subgrad 1024.914982	dualbound = 1526770.721159, lowerbound=1048888.721159, norm of subgrad 44.537126	 stepsize= 1.000000 
-dualbound = 1527178.612086, lowerbound=1049804.612086, norm of subgrad 1025.364136	dualbound = 1527178.612086, lowerbound=1049804.612086, norm of subgrad 44.439745	 stepsize= 1.000000 
-dualbound = 1527593.651426, lowerbound=1049264.651426, norm of subgrad 1025.108117	dualbound = 1527593.651426, lowerbound=1049264.651426, norm of subgrad 44.688246	 stepsize= 1.000000 
-dualbound = 1528020.648798, lowerbound=1050417.648798, norm of subgrad 1025.686916	dualbound = 1528020.648798, lowerbound=1050417.648798, norm of subgrad 45.199528	 stepsize= 1.000000 
-dualbound = 1528390.505850, lowerbound=1051886.505850, norm of subgrad 1026.407086	dualbound = 1528390.505850, lowerbound=1051886.505850, norm of subgrad 44.663823	 stepsize= 1.000000 
-dualbound = 1528828.119881, lowerbound=1051082.119881, norm of subgrad 1025.983489	dualbound = 1528828.119881, lowerbound=1051082.119881, norm of subgrad 44.694676	 stepsize= 1.000000 
-dualbound = 1529210.869551, lowerbound=1051152.869551, norm of subgrad 1026.033074	dualbound = 1529210.869551, lowerbound=1051152.869551, norm of subgrad 44.426903	 stepsize= 1.000000 
-dualbound = 1529636.738082, lowerbound=1049243.738082, norm of subgrad 1025.093527	dualbound = 1529636.738082, lowerbound=1049243.738082, norm of subgrad 44.708708	 stepsize= 1.000000 
-dualbound = 1530041.213485, lowerbound=1052977.213485, norm of subgrad 1026.915388	dualbound = 1530041.213485, lowerbound=1052977.213485, norm of subgrad 44.524998	 stepsize= 1.000000 
-dualbound = 1530461.840264, lowerbound=1048232.840264, norm of subgrad 1024.607164	dualbound = 1530461.840264, lowerbound=1048232.840264, norm of subgrad 44.806548	 stepsize= 1.000000 
-dualbound = 1530854.378220, lowerbound=1053155.378220, norm of subgrad 1027.018198	dualbound = 1530854.378220, lowerbound=1053155.378220, norm of subgrad 44.760898	 stepsize= 1.000000 
-dualbound = 1531262.313434, lowerbound=1051673.313434, norm of subgrad 1026.282765	dualbound = 1531262.313434, lowerbound=1051673.313434, norm of subgrad 44.619897	 stepsize= 1.000000 
-dualbound = 1531676.870070, lowerbound=1052157.870070, norm of subgrad 1026.511992	dualbound = 1531676.870070, lowerbound=1052157.870070, norm of subgrad 44.537138	 stepsize= 1.000000 
-dualbound = 1532076.903617, lowerbound=1050329.903617, norm of subgrad 1025.643166	dualbound = 1532076.903617, lowerbound=1050329.903617, norm of subgrad 44.877985	 stepsize= 1.000000 
-dualbound = 1532495.496806, lowerbound=1050516.496806, norm of subgrad 1025.730226	dualbound = 1532495.496806, lowerbound=1050516.496806, norm of subgrad 44.995480	 stepsize= 1.000000 
-dualbound = 1532888.110689, lowerbound=1052079.110689, norm of subgrad 1026.504316	dualbound = 1532888.110689, lowerbound=1052079.110689, norm of subgrad 44.995710	 stepsize= 1.000000 
-dualbound = 1533308.154447, lowerbound=1050669.154447, norm of subgrad 1025.784653	dualbound = 1533308.154447, lowerbound=1050669.154447, norm of subgrad 44.553830	 stepsize= 1.000000 
-dualbound = 1533724.850951, lowerbound=1049177.850951, norm of subgrad 1025.071632	dualbound = 1533724.850951, lowerbound=1049177.850951, norm of subgrad 44.840791	 stepsize= 1.000000 
-dualbound = 1534134.923056, lowerbound=1053822.923056, norm of subgrad 1027.297875	dualbound = 1534134.923056, lowerbound=1053822.923056, norm of subgrad 43.909818	 stepsize= 1.000000 
-dualbound = 1534544.786776, lowerbound=1050948.786776, norm of subgrad 1025.909249	dualbound = 1534544.786776, lowerbound=1050948.786776, norm of subgrad 44.168583	 stepsize= 1.000000 
-dualbound = 1534941.031253, lowerbound=1051057.031253, norm of subgrad 1025.971262	dualbound = 1534941.031253, lowerbound=1051057.031253, norm of subgrad 44.229453	 stepsize= 1.000000 
-dualbound = 1535344.080572, lowerbound=1050026.080572, norm of subgrad 1025.481877	dualbound = 1535344.080572, lowerbound=1050026.080572, norm of subgrad 44.609969	 stepsize= 1.000000 
-dualbound = 1535743.804168, lowerbound=1051769.804168, norm of subgrad 1026.366311	dualbound = 1535743.804168, lowerbound=1051769.804168, norm of subgrad 45.362138	 stepsize= 1.000000 
-dualbound = 1536162.481440, lowerbound=1052806.481440, norm of subgrad 1026.825439	dualbound = 1536162.481440, lowerbound=1052806.481440, norm of subgrad 44.527264	 stepsize= 1.000000 
-dualbound = 1536580.811499, lowerbound=1050908.811499, norm of subgrad 1025.915109	dualbound = 1536580.811499, lowerbound=1050908.811499, norm of subgrad 44.847855	 stepsize= 1.000000 
-dualbound = 1536968.242317, lowerbound=1051295.242317, norm of subgrad 1026.127303	dualbound = 1536968.242317, lowerbound=1051295.242317, norm of subgrad 45.049204	 stepsize= 1.000000 
-dualbound = 1537374.042589, lowerbound=1050834.042589, norm of subgrad 1025.900601	dualbound = 1537374.042589, lowerbound=1050834.042589, norm of subgrad 45.208409	 stepsize= 1.000000 
-dualbound = 1537786.805620, lowerbound=1051352.805620, norm of subgrad 1026.117832	dualbound = 1537786.805620, lowerbound=1051352.805620, norm of subgrad 44.472048	 stepsize= 1.000000 
-dualbound = 1538206.787491, lowerbound=1053427.787491, norm of subgrad 1027.142048	dualbound = 1538206.787491, lowerbound=1053427.787491, norm of subgrad 44.866267	 stepsize= 1.000000 
-dualbound = 1538582.082696, lowerbound=1051999.082696, norm of subgrad 1026.462899	dualbound = 1538582.082696, lowerbound=1051999.082696, norm of subgrad 44.747013	 stepsize= 1.000000 
-dualbound = 1539030.586091, lowerbound=1051289.586091, norm of subgrad 1026.085565	dualbound = 1539030.586091, lowerbound=1051289.586091, norm of subgrad 44.838637	 stepsize= 1.000000 
-dualbound = 1539422.631946, lowerbound=1051983.631946, norm of subgrad 1026.430042	dualbound = 1539422.631946, lowerbound=1051983.631946, norm of subgrad 44.351391	 stepsize= 1.000000 
-dualbound = 1539836.556836, lowerbound=1050274.556836, norm of subgrad 1025.606434	dualbound = 1539836.556836, lowerbound=1050274.556836, norm of subgrad 44.809875	 stepsize= 1.000000 
-dualbound = 1540247.413172, lowerbound=1053081.413172, norm of subgrad 1026.967094	dualbound = 1540247.413172, lowerbound=1053081.413172, norm of subgrad 44.619013	 stepsize= 1.000000 
-dualbound = 1540663.830448, lowerbound=1053383.830448, norm of subgrad 1027.127952	dualbound = 1540663.830448, lowerbound=1053383.830448, norm of subgrad 44.993525	 stepsize= 1.000000 
-dualbound = 1541035.591750, lowerbound=1049116.591750, norm of subgrad 1025.048580	dualbound = 1541035.591750, lowerbound=1049116.591750, norm of subgrad 44.494509	 stepsize= 1.000000 
-dualbound = 1541465.463558, lowerbound=1055565.463558, norm of subgrad 1028.173363	dualbound = 1541465.463558, lowerbound=1055565.463558, norm of subgrad 44.775795	 stepsize= 1.000000 
-dualbound = 1541844.553580, lowerbound=1049728.553580, norm of subgrad 1025.358744	dualbound = 1541844.553580, lowerbound=1049728.553580, norm of subgrad 44.845178	 stepsize= 1.000000 
-dualbound = 1542247.943790, lowerbound=1052819.943790, norm of subgrad 1026.860723	dualbound = 1542247.943790, lowerbound=1052819.943790, norm of subgrad 45.015444	 stepsize= 1.000000 
-dualbound = 1542668.593573, lowerbound=1051647.593573, norm of subgrad 1026.303851	dualbound = 1542668.593573, lowerbound=1051647.593573, norm of subgrad 45.526364	 stepsize= 1.000000 
-dualbound = 1543049.671221, lowerbound=1053083.671221, norm of subgrad 1026.963325	dualbound = 1543049.671221, lowerbound=1053083.671221, norm of subgrad 44.171005	 stepsize= 1.000000 
-dualbound = 1543485.073287, lowerbound=1050236.073287, norm of subgrad 1025.567196	dualbound = 1543485.073287, lowerbound=1050236.073287, norm of subgrad 44.580288	 stepsize= 1.000000 
-dualbound = 1543904.755801, lowerbound=1050945.755801, norm of subgrad 1025.937501	dualbound = 1543904.755801, lowerbound=1050945.755801, norm of subgrad 44.963124	 stepsize= 1.000000 
-dualbound = 1544273.053093, lowerbound=1053727.053093, norm of subgrad 1027.296478	dualbound = 1544273.053093, lowerbound=1053727.053093, norm of subgrad 44.489294	 stepsize= 1.000000 
-dualbound = 1544719.493143, lowerbound=1053580.493143, norm of subgrad 1027.222222	dualbound = 1544719.493143, lowerbound=1053580.493143, norm of subgrad 45.292826	 stepsize= 1.000000 
-dualbound = 1545095.591962, lowerbound=1052192.591962, norm of subgrad 1026.516728	dualbound = 1545095.591962, lowerbound=1052192.591962, norm of subgrad 43.818932	 stepsize= 1.000000 
-dualbound = 1545509.715716, lowerbound=1053020.715716, norm of subgrad 1026.934134	dualbound = 1545509.715716, lowerbound=1053020.715716, norm of subgrad 44.577166	 stepsize= 1.000000 
-dualbound = 1545915.832792, lowerbound=1050061.832792, norm of subgrad 1025.480781	dualbound = 1545915.832792, lowerbound=1050061.832792, norm of subgrad 44.216706	 stepsize= 1.000000 
-dualbound = 1546335.201214, lowerbound=1054632.201214, norm of subgrad 1027.715525	dualbound = 1546335.201214, lowerbound=1054632.201214, norm of subgrad 44.568693	 stepsize= 1.000000 
-dualbound = 1546723.479134, lowerbound=1052480.479134, norm of subgrad 1026.668632	dualbound = 1546723.479134, lowerbound=1052480.479134, norm of subgrad 44.229831	 stepsize= 1.000000 
-dualbound = 1547109.274309, lowerbound=1054252.274309, norm of subgrad 1027.557431	dualbound = 1547109.274309, lowerbound=1054252.274309, norm of subgrad 44.808428	 stepsize= 1.000000 
-dualbound = 1547528.310883, lowerbound=1050356.310883, norm of subgrad 1025.677489	dualbound = 1547528.310883, lowerbound=1050356.310883, norm of subgrad 45.574517	 stepsize= 1.000000 
-dualbound = 1547907.013589, lowerbound=1053521.013589, norm of subgrad 1027.197164	dualbound = 1547907.013589, lowerbound=1053521.013589, norm of subgrad 44.628497	 stepsize= 1.000000 
-dualbound = 1548350.517678, lowerbound=1052516.517678, norm of subgrad 1026.663293	dualbound = 1548350.517678, lowerbound=1052516.517678, norm of subgrad 44.322727	 stepsize= 1.000000 
-dualbound = 1548763.471565, lowerbound=1050339.471565, norm of subgrad 1025.633693	dualbound = 1548763.471565, lowerbound=1050339.471565, norm of subgrad 44.698477	 stepsize= 1.000000 
-dualbound = 1549164.068298, lowerbound=1055449.068298, norm of subgrad 1028.090982	dualbound = 1549164.068298, lowerbound=1055449.068298, norm of subgrad 43.847426	 stepsize= 1.000000 
-dualbound = 1549571.581002, lowerbound=1051087.581002, norm of subgrad 1025.992486	dualbound = 1549571.581002, lowerbound=1051087.581002, norm of subgrad 44.502952	 stepsize= 1.000000 
-dualbound = 1549973.524159, lowerbound=1053259.524159, norm of subgrad 1027.072307	dualbound = 1549973.524159, lowerbound=1053259.524159, norm of subgrad 44.943778	 stepsize= 1.000000 
-dualbound = 1550349.555569, lowerbound=1053649.555569, norm of subgrad 1027.254864	dualbound = 1550349.555569, lowerbound=1053649.555569, norm of subgrad 44.486306	 stepsize= 1.000000 
-dualbound = 1550761.524456, lowerbound=1052817.524456, norm of subgrad 1026.851267	dualbound = 1550761.524456, lowerbound=1052817.524456, norm of subgrad 44.921809	 stepsize= 1.000000 
-dualbound = 1551168.335418, lowerbound=1050903.335418, norm of subgrad 1025.910978	dualbound = 1551168.335418, lowerbound=1050903.335418, norm of subgrad 44.685691	 stepsize= 1.000000 
-dualbound = 1551575.124987, lowerbound=1053647.124987, norm of subgrad 1027.250274	dualbound = 1551575.124987, lowerbound=1053647.124987, norm of subgrad 44.752537	 stepsize= 1.000000 
-dualbound = 1551983.902505, lowerbound=1053110.902505, norm of subgrad 1026.997031	dualbound = 1551983.902505, lowerbound=1053110.902505, norm of subgrad 44.953059	 stepsize= 1.000000 
-dualbound = 1552357.352603, lowerbound=1052029.352603, norm of subgrad 1026.507843	dualbound = 1552357.352603, lowerbound=1052029.352603, norm of subgrad 45.414206	 stepsize= 1.000000 
-dualbound = 1552750.485948, lowerbound=1054764.485948, norm of subgrad 1027.836313	dualbound = 1552750.485948, lowerbound=1054764.485948, norm of subgrad 45.564606	 stepsize= 1.000000 
-dualbound = 1553158.293950, lowerbound=1051452.293950, norm of subgrad 1026.216495	dualbound = 1553158.293950, lowerbound=1051452.293950, norm of subgrad 45.561036	 stepsize= 1.000000 
-dualbound = 1553567.728851, lowerbound=1052203.728851, norm of subgrad 1026.535303	dualbound = 1553567.728851, lowerbound=1052203.728851, norm of subgrad 44.502077	 stepsize= 1.000000 
-dualbound = 1553994.729010, lowerbound=1053566.729010, norm of subgrad 1027.179015	dualbound = 1553994.729010, lowerbound=1053566.729010, norm of subgrad 44.237995	 stepsize= 1.000000 
-dualbound = 1554380.941114, lowerbound=1054314.941114, norm of subgrad 1027.578192	dualbound = 1554380.941114, lowerbound=1054314.941114, norm of subgrad 44.589372	 stepsize= 1.000000 
-dualbound = 1554781.933165, lowerbound=1052378.933165, norm of subgrad 1026.636222	dualbound = 1554781.933165, lowerbound=1052378.933165, norm of subgrad 44.765970	 stepsize= 1.000000 
-dualbound = 1555191.238275, lowerbound=1056868.238275, norm of subgrad 1028.837324	dualbound = 1555191.238275, lowerbound=1056868.238275, norm of subgrad 45.247156	 stepsize= 1.000000 
-dualbound = 1555579.687433, lowerbound=1052968.687433, norm of subgrad 1026.943858	dualbound = 1555579.687433, lowerbound=1052968.687433, norm of subgrad 45.093782	 stepsize= 1.000000 
-dualbound = 1555993.084052, lowerbound=1050346.084052, norm of subgrad 1025.616441	dualbound = 1555993.084052, lowerbound=1050346.084052, norm of subgrad 44.231172	 stepsize= 1.000000 
-dualbound = 1556417.762789, lowerbound=1052287.762789, norm of subgrad 1026.559186	dualbound = 1556417.762789, lowerbound=1052287.762789, norm of subgrad 44.279552	 stepsize= 1.000000 
-dualbound = 1556801.022949, lowerbound=1053465.022949, norm of subgrad 1027.142163	dualbound = 1556801.022949, lowerbound=1053465.022949, norm of subgrad 44.037032	 stepsize= 1.000000 
-dualbound = 1557220.899274, lowerbound=1053132.899274, norm of subgrad 1026.979990	dualbound = 1557220.899274, lowerbound=1053132.899274, norm of subgrad 44.439581	 stepsize= 1.000000 
-dualbound = 1557611.414190, lowerbound=1052548.414190, norm of subgrad 1026.719735	dualbound = 1557611.414190, lowerbound=1052548.414190, norm of subgrad 44.671187	 stepsize= 1.000000 
-dualbound = 1558005.263828, lowerbound=1055755.263828, norm of subgrad 1028.296292	dualbound = 1558005.263828, lowerbound=1055755.263828, norm of subgrad 45.076043	 stepsize= 1.000000 
-dualbound = 1558409.884959, lowerbound=1051297.884959, norm of subgrad 1026.121282	dualbound = 1558409.884959, lowerbound=1051297.884959, norm of subgrad 45.073508	 stepsize= 1.000000 
-dualbound = 1558825.178251, lowerbound=1056016.178251, norm of subgrad 1028.385229	dualbound = 1558825.178251, lowerbound=1056016.178251, norm of subgrad 44.444272	 stepsize= 1.000000 
-dualbound = 1559246.800077, lowerbound=1055846.800077, norm of subgrad 1028.278075	dualbound = 1559246.800077, lowerbound=1055846.800077, norm of subgrad 43.938842	 stepsize= 1.000000 
-dualbound = 1559640.379672, lowerbound=1050846.379672, norm of subgrad 1025.854951	dualbound = 1559640.379672, lowerbound=1050846.379672, norm of subgrad 43.881427	 stepsize= 1.000000 
-dualbound = 1560025.442153, lowerbound=1055752.442153, norm of subgrad 1028.262341	dualbound = 1560025.442153, lowerbound=1055752.442153, norm of subgrad 44.227395	 stepsize= 1.000000 
-dualbound = 1560444.483216, lowerbound=1053696.483216, norm of subgrad 1027.263103	dualbound = 1560444.483216, lowerbound=1053696.483216, norm of subgrad 44.632287	 stepsize= 1.000000 
-dualbound = 1560822.559520, lowerbound=1055210.559520, norm of subgrad 1028.045505	dualbound = 1560822.559520, lowerbound=1055210.559520, norm of subgrad 45.222520	 stepsize= 1.000000 
-dualbound = 1561194.588728, lowerbound=1052335.588728, norm of subgrad 1026.617060	dualbound = 1561194.588728, lowerbound=1052335.588728, norm of subgrad 44.486281	 stepsize= 1.000000 
-dualbound = 1561621.809978, lowerbound=1053383.809978, norm of subgrad 1027.133784	dualbound = 1561621.809978, lowerbound=1053383.809978, norm of subgrad 45.246229	 stepsize= 1.000000 
-dualbound = 1562022.440308, lowerbound=1053525.440308, norm of subgrad 1027.227550	dualbound = 1562022.440308, lowerbound=1053525.440308, norm of subgrad 45.515166	 stepsize= 1.000000 
-dualbound = 1562425.012093, lowerbound=1056428.012093, norm of subgrad 1028.608775	dualbound = 1562425.012093, lowerbound=1056428.012093, norm of subgrad 44.839400	 stepsize= 1.000000 
-dualbound = 1562842.022257, lowerbound=1051694.022257, norm of subgrad 1026.305034	dualbound = 1562842.022257, lowerbound=1051694.022257, norm of subgrad 45.000113	 stepsize= 1.000000 
-dualbound = 1563243.444272, lowerbound=1055284.444272, norm of subgrad 1028.051771	dualbound = 1563243.444272, lowerbound=1055284.444272, norm of subgrad 44.804263	 stepsize= 1.000000 
-dualbound = 1563653.242553, lowerbound=1053919.242553, norm of subgrad 1027.370061	dualbound = 1563653.242553, lowerbound=1053919.242553, norm of subgrad 44.494924	 stepsize= 1.000000 
-dualbound = 1564019.529024, lowerbound=1056287.529024, norm of subgrad 1028.538540	dualbound = 1564019.529024, lowerbound=1056287.529024, norm of subgrad 44.387909	 stepsize= 1.000000 
-dualbound = 1564438.545589, lowerbound=1053378.545589, norm of subgrad 1027.141444	dualbound = 1564438.545589, lowerbound=1053378.545589, norm of subgrad 45.387405	 stepsize= 1.000000 
-dualbound = 1564839.238412, lowerbound=1052774.238412, norm of subgrad 1026.845285	dualbound = 1564839.238412, lowerbound=1052774.238412, norm of subgrad 45.140811	 stepsize= 1.000000 
-dualbound = 1565231.223830, lowerbound=1054513.223830, norm of subgrad 1027.668830	dualbound = 1565231.223830, lowerbound=1054513.223830, norm of subgrad 44.519495	 stepsize= 1.000000 
-dualbound = 1565660.851182, lowerbound=1054663.851182, norm of subgrad 1027.745032	dualbound = 1565660.851182, lowerbound=1054663.851182, norm of subgrad 45.006970	 stepsize= 1.000000 
-dualbound = 1566051.845006, lowerbound=1052482.845006, norm of subgrad 1026.688777	dualbound = 1566051.845006, lowerbound=1052482.845006, norm of subgrad 44.698924	 stepsize= 1.000000 
-dualbound = 1566452.761808, lowerbound=1056505.761808, norm of subgrad 1028.611570	dualbound = 1566452.761808, lowerbound=1056505.761808, norm of subgrad 44.010417	 stepsize= 1.000000 
-dualbound = 1566858.833212, lowerbound=1052264.833212, norm of subgrad 1026.598672	dualbound = 1566858.833212, lowerbound=1052264.833212, norm of subgrad 45.233521	 stepsize= 1.000000 
-dualbound = 1567248.207751, lowerbound=1054801.207751, norm of subgrad 1027.817205	dualbound = 1567248.207751, lowerbound=1054801.207751, norm of subgrad 44.680807	 stepsize= 1.000000 
-dualbound = 1567653.734039, lowerbound=1052606.734039, norm of subgrad 1026.759823	dualbound = 1567653.734039, lowerbound=1052606.734039, norm of subgrad 45.105723	 stepsize= 1.000000 
-dualbound = 1568042.228585, lowerbound=1056359.228585, norm of subgrad 1028.598672	dualbound = 1568042.228585, lowerbound=1056359.228585, norm of subgrad 45.216087	 stepsize= 1.000000 
-dualbound = 1568457.107779, lowerbound=1054554.107779, norm of subgrad 1027.692613	dualbound = 1568457.107779, lowerbound=1054554.107779, norm of subgrad 44.865122	 stepsize= 1.000000 
-dualbound = 1568875.418481, lowerbound=1054233.418481, norm of subgrad 1027.526359	dualbound = 1568875.418481, lowerbound=1054233.418481, norm of subgrad 44.668901	 stepsize= 1.000000 
-dualbound = 1569284.085092, lowerbound=1053236.085092, norm of subgrad 1027.039476	dualbound = 1569284.085092, lowerbound=1053236.085092, norm of subgrad 44.527145	 stepsize= 1.000000 
-dualbound = 1569655.494632, lowerbound=1055627.494632, norm of subgrad 1028.217630	dualbound = 1569655.494632, lowerbound=1055627.494632, norm of subgrad 44.445580	 stepsize= 1.000000 
-dualbound = 1570054.363289, lowerbound=1054987.363289, norm of subgrad 1027.920893	dualbound = 1570054.363289, lowerbound=1054987.363289, norm of subgrad 45.087345	 stepsize= 1.000000 
-dualbound = 1570466.941073, lowerbound=1055752.941073, norm of subgrad 1028.261125	dualbound = 1570466.941073, lowerbound=1055752.941073, norm of subgrad 44.503683	 stepsize= 1.000000 
-dualbound = 1570851.404833, lowerbound=1054438.404833, norm of subgrad 1027.644591	dualbound = 1570851.404833, lowerbound=1054438.404833, norm of subgrad 44.715364	 stepsize= 1.000000 
-dualbound = 1571282.320216, lowerbound=1054405.320216, norm of subgrad 1027.632386	dualbound = 1571282.320216, lowerbound=1054405.320216, norm of subgrad 45.320143	 stepsize= 1.000000 
-dualbound = 1571631.183652, lowerbound=1054812.183652, norm of subgrad 1027.820599	dualbound = 1571631.183652, lowerbound=1054812.183652, norm of subgrad 44.179899	 stepsize= 1.000000 
-dualbound = 1572056.585563, lowerbound=1054355.585563, norm of subgrad 1027.629596	dualbound = 1572056.585563, lowerbound=1054355.585563, norm of subgrad 45.742780	 stepsize= 1.000000 
-dualbound = 1572432.340949, lowerbound=1053516.340949, norm of subgrad 1027.218254	dualbound = 1572432.340949, lowerbound=1053516.340949, norm of subgrad 45.130426	 stepsize= 1.000000 
-dualbound = 1572850.232790, lowerbound=1055764.232790, norm of subgrad 1028.315726	dualbound = 1572850.232790, lowerbound=1055764.232790, norm of subgrad 45.682511	 stepsize= 1.000000 
-dualbound = 1573238.711490, lowerbound=1053937.711490, norm of subgrad 1027.407276	dualbound = 1573238.711490, lowerbound=1053937.711490, norm of subgrad 44.905219	 stepsize= 1.000000 
-dualbound = 1573675.275338, lowerbound=1056009.275338, norm of subgrad 1028.411044	dualbound = 1573675.275338, lowerbound=1056009.275338, norm of subgrad 45.349353	 stepsize= 1.000000 
-dualbound = 1574043.218910, lowerbound=1053858.218910, norm of subgrad 1027.354476	dualbound = 1574043.218910, lowerbound=1053858.218910, norm of subgrad 44.350238	 stepsize= 1.000000 
-dualbound = 1574479.094103, lowerbound=1055062.094103, norm of subgrad 1027.926600	dualbound = 1574479.094103, lowerbound=1055062.094103, norm of subgrad 44.798161	 stepsize= 1.000000 
-dualbound = 1574870.039177, lowerbound=1056233.039177, norm of subgrad 1028.525663	dualbound = 1574870.039177, lowerbound=1056233.039177, norm of subgrad 44.977162	 stepsize= 1.000000 
-dualbound = 1575262.115172, lowerbound=1055045.115172, norm of subgrad 1027.942661	dualbound = 1575262.115172, lowerbound=1055045.115172, norm of subgrad 44.867315	 stepsize= 1.000000 
-dualbound = 1575662.438411, lowerbound=1056041.438411, norm of subgrad 1028.427653	dualbound = 1575662.438411, lowerbound=1056041.438411, norm of subgrad 44.970248	 stepsize= 1.000000 
-dualbound = 1576036.947395, lowerbound=1052179.947395, norm of subgrad 1026.551483	dualbound = 1576036.947395, lowerbound=1052179.947395, norm of subgrad 44.749402	 stepsize= 1.000000 
-dualbound = 1576467.736321, lowerbound=1057132.736321, norm of subgrad 1028.934758	dualbound = 1576467.736321, lowerbound=1057132.736321, norm of subgrad 44.774869	 stepsize= 1.000000 
-dualbound = 1576865.903150, lowerbound=1053179.903150, norm of subgrad 1027.028677	dualbound = 1576865.903150, lowerbound=1053179.903150, norm of subgrad 44.790254	 stepsize= 1.000000 
-dualbound = 1577236.152332, lowerbound=1057085.152332, norm of subgrad 1028.917466	dualbound = 1577236.152332, lowerbound=1057085.152332, norm of subgrad 44.229506	 stepsize= 1.000000 
-dualbound = 1577653.765047, lowerbound=1054850.765047, norm of subgrad 1027.824774	dualbound = 1577653.765047, lowerbound=1054850.765047, norm of subgrad 44.616283	 stepsize= 1.000000 
-dualbound = 1578046.794834, lowerbound=1055674.794834, norm of subgrad 1028.246952	dualbound = 1578046.794834, lowerbound=1055674.794834, norm of subgrad 44.833356	 stepsize= 1.000000 
-dualbound = 1578423.688409, lowerbound=1055753.688409, norm of subgrad 1028.317893	dualbound = 1578423.688409, lowerbound=1055753.688409, norm of subgrad 45.397066	 stepsize= 1.000000 
-dualbound = 1578796.957993, lowerbound=1055633.957993, norm of subgrad 1028.247518	dualbound = 1578796.957993, lowerbound=1055633.957993, norm of subgrad 45.080701	 stepsize= 1.000000 
-dualbound = 1579235.424335, lowerbound=1055718.424335, norm of subgrad 1028.253094	dualbound = 1579235.424335, lowerbound=1055718.424335, norm of subgrad 44.994070	 stepsize= 1.000000 
-dualbound = 1579618.085372, lowerbound=1052240.085372, norm of subgrad 1026.565675	dualbound = 1579618.085372, lowerbound=1052240.085372, norm of subgrad 44.493382	 stepsize= 1.000000 
-dualbound = 1580032.000340, lowerbound=1057360.000340, norm of subgrad 1029.022838	dualbound = 1580032.000340, lowerbound=1057360.000340, norm of subgrad 44.067164	 stepsize= 1.000000 
-dualbound = 1580419.292594, lowerbound=1055741.292594, norm of subgrad 1028.265186	dualbound = 1580419.292594, lowerbound=1055741.292594, norm of subgrad 44.444260	 stepsize= 1.000000 
-dualbound = 1580813.938645, lowerbound=1058355.938645, norm of subgrad 1029.550843	dualbound = 1580813.938645, lowerbound=1058355.938645, norm of subgrad 44.873668	 stepsize= 1.000000 
-dualbound = 1581198.517161, lowerbound=1052951.517161, norm of subgrad 1026.930629	dualbound = 1581198.517161, lowerbound=1052951.517161, norm of subgrad 44.939721	 stepsize= 1.000000 
-dualbound = 1581583.598207, lowerbound=1057505.598207, norm of subgrad 1029.113501	dualbound = 1581583.598207, lowerbound=1057505.598207, norm of subgrad 44.204989	 stepsize= 1.000000 
-dualbound = 1582008.380571, lowerbound=1053765.380571, norm of subgrad 1027.321946	dualbound = 1582008.380571, lowerbound=1053765.380571, norm of subgrad 45.274522	 stepsize= 1.000000 
-dualbound = 1582389.773645, lowerbound=1055647.773645, norm of subgrad 1028.222628	dualbound = 1582389.773645, lowerbound=1055647.773645, norm of subgrad 44.445394	 stepsize= 1.000000 
-dualbound = 1582803.271501, lowerbound=1056413.271501, norm of subgrad 1028.606471	dualbound = 1582803.271501, lowerbound=1056413.271501, norm of subgrad 45.072141	 stepsize= 1.000000 
-dualbound = 1583161.372145, lowerbound=1058337.372145, norm of subgrad 1029.573879	dualbound = 1583161.372145, lowerbound=1058337.372145, norm of subgrad 45.200671	 stepsize= 1.000000 
-dualbound = 1583559.202352, lowerbound=1055427.202352, norm of subgrad 1028.141139	dualbound = 1583559.202352, lowerbound=1055427.202352, norm of subgrad 45.219799	 stepsize= 1.000000 
-dualbound = 1583953.874716, lowerbound=1058140.874716, norm of subgrad 1029.472134	dualbound = 1583953.874716, lowerbound=1058140.874716, norm of subgrad 45.460668	 stepsize= 1.000000 
-dualbound = 1584365.442208, lowerbound=1054511.442208, norm of subgrad 1027.683046	dualbound = 1584365.442208, lowerbound=1054511.442208, norm of subgrad 45.084005	 stepsize= 1.000000 
-dualbound = 1584756.500587, lowerbound=1055392.500587, norm of subgrad 1028.122318	dualbound = 1584756.500587, lowerbound=1055392.500587, norm of subgrad 45.100536	 stepsize= 1.000000 
-dualbound = 1585132.856520, lowerbound=1055785.856520, norm of subgrad 1028.283451	dualbound = 1585132.856520, lowerbound=1055785.856520, norm of subgrad 44.242015	 stepsize= 1.000000 
-dualbound = 1585556.950830, lowerbound=1057900.950830, norm of subgrad 1029.307510	dualbound = 1585556.950830, lowerbound=1057900.950830, norm of subgrad 44.688861	 stepsize= 1.000000 
-dualbound = 1585954.062196, lowerbound=1052793.062196, norm of subgrad 1026.821339	dualbound = 1585954.062196, lowerbound=1052793.062196, norm of subgrad 44.340854	 stepsize= 1.000000 
-dualbound = 1586332.558612, lowerbound=1060229.558612, norm of subgrad 1030.442409	dualbound = 1586332.558612, lowerbound=1060229.558612, norm of subgrad 44.277493	 stepsize= 1.000000 
-dualbound = 1586728.951612, lowerbound=1054769.951612, norm of subgrad 1027.806865	dualbound = 1586728.951612, lowerbound=1054769.951612, norm of subgrad 44.870848	 stepsize= 1.000000 
-dualbound = 1587113.116211, lowerbound=1056661.116211, norm of subgrad 1028.743951	dualbound = 1587113.116211, lowerbound=1056661.116211, norm of subgrad 45.134960	 stepsize= 1.000000 
-dualbound = 1587506.386207, lowerbound=1057945.386207, norm of subgrad 1029.343668	dualbound = 1587506.386207, lowerbound=1057945.386207, norm of subgrad 44.679637	 stepsize= 1.000000 
-dualbound = 1587917.731493, lowerbound=1054618.731493, norm of subgrad 1027.692430	dualbound = 1587917.731493, lowerbound=1054618.731493, norm of subgrad 44.094731	 stepsize= 1.000000 
-dualbound = 1588311.705239, lowerbound=1058895.705239, norm of subgrad 1029.777017	dualbound = 1588311.705239, lowerbound=1058895.705239, norm of subgrad 44.033780	 stepsize= 1.000000 
-dualbound = 1588689.901202, lowerbound=1054497.901202, norm of subgrad 1027.683269	dualbound = 1588689.901202, lowerbound=1054497.901202, norm of subgrad 44.868652	 stepsize= 1.000000 
-dualbound = 1589036.190193, lowerbound=1056737.190193, norm of subgrad 1028.788214	dualbound = 1589036.190193, lowerbound=1056737.190193, norm of subgrad 44.880831	 stepsize= 1.000000 
-dualbound = 1589457.098126, lowerbound=1053233.098126, norm of subgrad 1027.040456	dualbound = 1589457.098126, lowerbound=1053233.098126, norm of subgrad 44.720330	 stepsize= 1.000000 
-dualbound = 1589873.649961, lowerbound=1056306.649961, norm of subgrad 1028.527418	dualbound = 1589873.649961, lowerbound=1056306.649961, norm of subgrad 44.480915	 stepsize= 1.000000 
-dualbound = 1590253.707687, lowerbound=1057458.707687, norm of subgrad 1029.125701	dualbound = 1590253.707687, lowerbound=1057458.707687, norm of subgrad 44.956176	 stepsize= 1.000000 
-dualbound = 1590659.486903, lowerbound=1056295.486903, norm of subgrad 1028.526853	dualbound = 1590659.486903, lowerbound=1056295.486903, norm of subgrad 44.472230	 stepsize= 1.000000 
-dualbound = 1591003.907912, lowerbound=1059326.907912, norm of subgrad 1030.029081	dualbound = 1591003.907912, lowerbound=1059326.907912, norm of subgrad 44.468202	 stepsize= 1.000000 
-dualbound = 1591447.556119, lowerbound=1055824.556119, norm of subgrad 1028.301783	dualbound = 1591447.556119, lowerbound=1055824.556119, norm of subgrad 44.984978	 stepsize= 1.000000 
-dualbound = 1591834.249388, lowerbound=1056059.249388, norm of subgrad 1028.436799	dualbound = 1591834.249388, lowerbound=1056059.249388, norm of subgrad 44.829603	 stepsize= 1.000000 
-dualbound = 1592204.014672, lowerbound=1057884.014672, norm of subgrad 1029.319200	dualbound = 1592204.014672, lowerbound=1057884.014672, norm of subgrad 44.539480	 stepsize= 1.000000 
-dualbound = 1592606.051033, lowerbound=1054435.051033, norm of subgrad 1027.659502	dualbound = 1592606.051033, lowerbound=1054435.051033, norm of subgrad 45.288369	 stepsize= 1.000000 
-dualbound = 1592962.875331, lowerbound=1055995.875331, norm of subgrad 1028.451688	dualbound = 1592962.875331, lowerbound=1055995.875331, norm of subgrad 45.539261	 stepsize= 1.000000 
-dualbound = 1593384.748651, lowerbound=1056848.748651, norm of subgrad 1028.805982	dualbound = 1593384.748651, lowerbound=1056848.748651, norm of subgrad 44.887340	 stepsize= 1.000000 
-dualbound = 1593793.919556, lowerbound=1057140.919555, norm of subgrad 1028.944080	dualbound = 1593793.919556, lowerbound=1057140.919555, norm of subgrad 44.656141	 stepsize= 1.000000 
-dualbound = 1594179.748865, lowerbound=1056812.748865, norm of subgrad 1028.809384	dualbound = 1594179.748865, lowerbound=1056812.748865, norm of subgrad 44.964756	 stepsize= 1.000000 
-dualbound = 1594571.557091, lowerbound=1057786.557091, norm of subgrad 1029.258256	dualbound = 1594571.557091, lowerbound=1057786.557091, norm of subgrad 44.472556	 stepsize= 1.000000 
-dualbound = 1594966.947400, lowerbound=1057784.947400, norm of subgrad 1029.273019	dualbound = 1594966.947400, lowerbound=1057784.947400, norm of subgrad 44.870818	 stepsize= 1.000000 
-dualbound = 1595334.110491, lowerbound=1054935.110491, norm of subgrad 1027.920284	dualbound = 1595334.110491, lowerbound=1054935.110491, norm of subgrad 45.300807	 stepsize= 1.000000 
-dualbound = 1595719.261800, lowerbound=1057707.261800, norm of subgrad 1029.246939	dualbound = 1595719.261800, lowerbound=1057707.261800, norm of subgrad 45.023897	 stepsize= 1.000000 
-dualbound = 1596134.311008, lowerbound=1053968.311008, norm of subgrad 1027.407081	dualbound = 1596134.311008, lowerbound=1053968.311008, norm of subgrad 44.855872	 stepsize= 1.000000 
-dualbound = 1596527.009015, lowerbound=1058587.009015, norm of subgrad 1029.662570	dualbound = 1596527.009015, lowerbound=1058587.009015, norm of subgrad 44.840807	 stepsize= 1.000000 
-dualbound = 1596920.040562, lowerbound=1056068.040562, norm of subgrad 1028.404609	dualbound = 1596920.040562, lowerbound=1056068.040562, norm of subgrad 44.057140	 stepsize= 1.000000 
-dualbound = 1597301.290034, lowerbound=1058922.290034, norm of subgrad 1029.835565	dualbound = 1597301.290034, lowerbound=1058922.290034, norm of subgrad 44.947185	 stepsize= 1.000000 
-dualbound = 1597714.093329, lowerbound=1058351.093329, norm of subgrad 1029.526150	dualbound = 1597714.093329, lowerbound=1058351.093329, norm of subgrad 44.562353	 stepsize= 1.000000 
-dualbound = 1598088.422771, lowerbound=1058297.422771, norm of subgrad 1029.516597	dualbound = 1598088.422771, lowerbound=1058297.422771, norm of subgrad 44.512127	 stepsize= 1.000000 
-dualbound = 1598476.109614, lowerbound=1058186.109614, norm of subgrad 1029.422707	dualbound = 1598476.109614, lowerbound=1058186.109614, norm of subgrad 43.734275	 stepsize= 1.000000 
-dualbound = 1598858.667114, lowerbound=1057646.667114, norm of subgrad 1029.193698	dualbound = 1598858.667114, lowerbound=1057646.667114, norm of subgrad 44.447244	 stepsize= 1.000000 
-dualbound = 1599251.097803, lowerbound=1059347.097803, norm of subgrad 1030.001989	dualbound = 1599251.097803, lowerbound=1059347.097803, norm of subgrad 44.152358	 stepsize= 1.000000 
-dualbound = 1599636.296633, lowerbound=1059830.296633, norm of subgrad 1030.274865	dualbound = 1599636.296633, lowerbound=1059830.296633, norm of subgrad 44.957745	 stepsize= 1.000000 
-dualbound = 1599996.754743, lowerbound=1057265.754743, norm of subgrad 1029.031950	dualbound = 1599996.754743, lowerbound=1057265.754743, norm of subgrad 44.737659	 stepsize= 1.000000 
-dualbound = 1600407.072086, lowerbound=1060081.072085, norm of subgrad 1030.402384	dualbound = 1600407.072086, lowerbound=1060081.072085, norm of subgrad 45.368682	 stepsize= 1.000000 
-dualbound = 1600778.394951, lowerbound=1055393.394951, norm of subgrad 1028.093087	dualbound = 1600778.394951, lowerbound=1055393.394951, norm of subgrad 44.196412	 stepsize= 1.000000 
-dualbound = 1601170.235505, lowerbound=1060158.235505, norm of subgrad 1030.395669	dualbound = 1601170.235505, lowerbound=1060158.235505, norm of subgrad 44.145674	 stepsize= 1.000000 
-dualbound = 1601592.386818, lowerbound=1057772.386818, norm of subgrad 1029.238256	dualbound = 1601592.386818, lowerbound=1057772.386818, norm of subgrad 44.510126	 stepsize= 1.000000 
-dualbound = 1601940.965971, lowerbound=1061244.965971, norm of subgrad 1030.962640	dualbound = 1601940.965971, lowerbound=1061244.965971, norm of subgrad 44.582274	 stepsize= 1.000000 
-dualbound = 1602318.577326, lowerbound=1058299.577326, norm of subgrad 1029.538526	dualbound = 1602318.577326, lowerbound=1058299.577326, norm of subgrad 45.029006	 stepsize= 1.000000 
-dualbound = 1602700.217348, lowerbound=1059302.217348, norm of subgrad 1030.053017	dualbound = 1602700.217348, lowerbound=1059302.217348, norm of subgrad 45.701641	 stepsize= 1.000000 
-dualbound = 1603059.723011, lowerbound=1057395.723011, norm of subgrad 1029.126680	dualbound = 1603059.723011, lowerbound=1057395.723011, norm of subgrad 45.447835	 stepsize= 1.000000 
-dualbound = 1603492.817472, lowerbound=1058716.817472, norm of subgrad 1029.724632	dualbound = 1603492.817472, lowerbound=1058716.817472, norm of subgrad 45.266925	 stepsize= 1.000000 
-dualbound = 1603895.561217, lowerbound=1057964.561217, norm of subgrad 1029.387955	dualbound = 1603895.561217, lowerbound=1057964.561217, norm of subgrad 45.582274	 stepsize= 1.000000 
-dualbound = 1604239.354370, lowerbound=1060613.354370, norm of subgrad 1030.669857	dualbound = 1604239.354370, lowerbound=1060613.354370, norm of subgrad 44.841868	 stepsize= 1.000000 
-dualbound = 1604652.354190, lowerbound=1056786.354190, norm of subgrad 1028.771284	dualbound = 1604652.354190, lowerbound=1056786.354190, norm of subgrad 44.687804	 stepsize= 1.000000 
-dualbound = 1605048.583572, lowerbound=1060044.583572, norm of subgrad 1030.354591	dualbound = 1605048.583572, lowerbound=1060044.583572, norm of subgrad 44.522235	 stepsize= 1.000000 
-dualbound = 1605420.406618, lowerbound=1058549.406618, norm of subgrad 1029.633142	dualbound = 1605420.406618, lowerbound=1058549.406618, norm of subgrad 44.348879	 stepsize= 1.000000 
-dualbound = 1605822.149544, lowerbound=1060255.149544, norm of subgrad 1030.461620	dualbound = 1605822.149544, lowerbound=1060255.149544, norm of subgrad 44.696118	 stepsize= 1.000000 
-dualbound = 1606179.818485, lowerbound=1059321.818485, norm of subgrad 1030.032921	dualbound = 1606179.818485, lowerbound=1059321.818485, norm of subgrad 44.762361	 stepsize= 1.000000 
-dualbound = 1606581.716096, lowerbound=1061429.716096, norm of subgrad 1031.041569	dualbound = 1606581.716096, lowerbound=1061429.716096, norm of subgrad 44.932145	 stepsize= 1.000000 
-dualbound = 1606972.715351, lowerbound=1057324.715351, norm of subgrad 1029.034361	dualbound = 1606972.715351, lowerbound=1057324.715351, norm of subgrad 44.474704	 stepsize= 1.000000 
-dualbound = 1607360.944898, lowerbound=1059173.944898, norm of subgrad 1029.932495	dualbound = 1607360.944898, lowerbound=1059173.944898, norm of subgrad 44.443555	 stepsize= 1.000000 
-dualbound = 1607751.701882, lowerbound=1058851.701882, norm of subgrad 1029.801778	dualbound = 1607751.701882, lowerbound=1058851.701882, norm of subgrad 45.063921	 stepsize= 1.000000 
-dualbound = 1608134.990378, lowerbound=1060501.990378, norm of subgrad 1030.601276	dualbound = 1608134.990378, lowerbound=1060501.990378, norm of subgrad 44.947619	 stepsize= 1.000000 
-dualbound = 1608500.679281, lowerbound=1060321.679281, norm of subgrad 1030.511853	dualbound = 1608500.679281, lowerbound=1060321.679281, norm of subgrad 44.706699	 stepsize= 1.000000 
-dualbound = 1608903.477258, lowerbound=1056844.477258, norm of subgrad 1028.823346	dualbound = 1608903.477258, lowerbound=1056844.477258, norm of subgrad 45.119818	 stepsize= 1.000000 
-dualbound = 1609282.023635, lowerbound=1059812.023635, norm of subgrad 1030.262114	dualbound = 1609282.023635, lowerbound=1059812.023635, norm of subgrad 44.794490	 stepsize= 1.000000 
-dualbound = 1609695.677642, lowerbound=1060211.677642, norm of subgrad 1030.413353	dualbound = 1609695.677642, lowerbound=1060211.677642, norm of subgrad 44.200158	 stepsize= 1.000000 
-dualbound = 1610075.020899, lowerbound=1060160.020899, norm of subgrad 1030.428562	dualbound = 1610075.020899, lowerbound=1060160.020899, norm of subgrad 44.747550	 stepsize= 1.000000 
-dualbound = 1610460.920750, lowerbound=1056193.920750, norm of subgrad 1028.477963	dualbound = 1610460.920750, lowerbound=1056193.920750, norm of subgrad 44.259461	 stepsize= 1.000000 
-dualbound = 1610810.203122, lowerbound=1060823.203122, norm of subgrad 1030.818705	dualbound = 1610810.203122, lowerbound=1060823.203122, norm of subgrad 45.970451	 stepsize= 1.000000 
-dualbound = 1611175.427918, lowerbound=1061662.427918, norm of subgrad 1031.187872	dualbound = 1611175.427918, lowerbound=1061662.427918, norm of subgrad 45.290449	 stepsize= 1.000000 
-dualbound = 1611609.604786, lowerbound=1058079.604786, norm of subgrad 1029.405948	dualbound = 1611609.604786, lowerbound=1058079.604786, norm of subgrad 45.068580	 stepsize= 1.000000 
-dualbound = 1611990.903001, lowerbound=1059963.903001, norm of subgrad 1030.343100	dualbound = 1611990.903001, lowerbound=1059963.903001, norm of subgrad 44.992202	 stepsize= 1.000000 
-dualbound = 1612383.250058, lowerbound=1057371.250058, norm of subgrad 1029.056971	dualbound = 1612383.250058, lowerbound=1057371.250058, norm of subgrad 44.489853	 stepsize= 1.000000 
-dualbound = 1612774.843248, lowerbound=1062625.843248, norm of subgrad 1031.580265	dualbound = 1612774.843248, lowerbound=1062625.843248, norm of subgrad 43.858787	 stepsize= 1.000000 
-dualbound = 1613169.837795, lowerbound=1054692.837795, norm of subgrad 1027.747945	dualbound = 1613169.837795, lowerbound=1054692.837795, norm of subgrad 44.362085	 stepsize= 1.000000 
-dualbound = 1613544.061219, lowerbound=1060395.061219, norm of subgrad 1030.519801	dualbound = 1613544.061219, lowerbound=1060395.061219, norm of subgrad 44.161334	 stepsize= 1.000000 
-dualbound = 1613916.195064, lowerbound=1058178.195064, norm of subgrad 1029.469375	dualbound = 1613916.195064, lowerbound=1058178.195064, norm of subgrad 44.734035	 stepsize= 1.000000 
-dualbound = 1614286.047488, lowerbound=1063519.047488, norm of subgrad 1032.064943	dualbound = 1614286.047488, lowerbound=1063519.047488, norm of subgrad 44.820223	 stepsize= 1.000000 
-dualbound = 1614681.203455, lowerbound=1058386.203455, norm of subgrad 1029.550000	dualbound = 1614681.203455, lowerbound=1058386.203455, norm of subgrad 44.521410	 stepsize= 1.000000 
-dualbound = 1615077.375754, lowerbound=1058976.375754, norm of subgrad 1029.853085	dualbound = 1615077.375754, lowerbound=1058976.375754, norm of subgrad 44.912941	 stepsize= 1.000000 
-dualbound = 1615477.405808, lowerbound=1058386.405808, norm of subgrad 1029.562726	dualbound = 1615477.405808, lowerbound=1058386.405808, norm of subgrad 44.866803	 stepsize= 1.000000 
-dualbound = 1615841.328192, lowerbound=1062884.328192, norm of subgrad 1031.750613	dualbound = 1615841.328192, lowerbound=1062884.328192, norm of subgrad 44.597336	 stepsize= 1.000000 
-dualbound = 1616217.473572, lowerbound=1057994.473572, norm of subgrad 1029.380626	dualbound = 1616217.473572, lowerbound=1057994.473572, norm of subgrad 44.790014	 stepsize= 1.000000 
-dualbound = 1616603.970360, lowerbound=1060178.970360, norm of subgrad 1030.429022	dualbound = 1616603.970360, lowerbound=1060178.970360, norm of subgrad 44.626189	 stepsize= 1.000000 
-dualbound = 1617004.223588, lowerbound=1059374.223588, norm of subgrad 1030.026807	dualbound = 1617004.223588, lowerbound=1059374.223588, norm of subgrad 44.511271	 stepsize= 1.000000 
-dualbound = 1617368.019729, lowerbound=1061346.019729, norm of subgrad 1030.988370	dualbound = 1617368.019729, lowerbound=1061346.019729, norm of subgrad 44.213077	 stepsize= 1.000000 
-dualbound = 1617777.940331, lowerbound=1056096.940331, norm of subgrad 1028.405533	dualbound = 1617777.940331, lowerbound=1056096.940331, norm of subgrad 43.942242	 stepsize= 1.000000 
-dualbound = 1618139.977681, lowerbound=1061705.977681, norm of subgrad 1031.189593	dualbound = 1618139.977681, lowerbound=1061705.977681, norm of subgrad 44.811130	 stepsize= 1.000000 
-dualbound = 1618525.152645, lowerbound=1058139.152645, norm of subgrad 1029.461098	dualbound = 1618525.152645, lowerbound=1058139.152645, norm of subgrad 45.123995	 stepsize= 1.000000 
-dualbound = 1618901.908361, lowerbound=1061921.908361, norm of subgrad 1031.269077	dualbound = 1618901.908361, lowerbound=1061921.908361, norm of subgrad 44.393194	 stepsize= 1.000000 
-dualbound = 1619303.018315, lowerbound=1061724.018315, norm of subgrad 1031.201250	dualbound = 1619303.018315, lowerbound=1061724.018315, norm of subgrad 45.311256	 stepsize= 1.000000 
-dualbound = 1619669.050051, lowerbound=1057898.050051, norm of subgrad 1029.327475	dualbound = 1619669.050051, lowerbound=1057898.050051, norm of subgrad 44.531244	 stepsize= 1.000000 
-dualbound = 1620077.989537, lowerbound=1059712.989537, norm of subgrad 1030.185415	dualbound = 1620077.989537, lowerbound=1059712.989537, norm of subgrad 44.474032	 stepsize= 1.000000 
-dualbound = 1620460.606096, lowerbound=1060962.606096, norm of subgrad 1030.817931	dualbound = 1620460.606096, lowerbound=1060962.606096, norm of subgrad 44.784111	 stepsize= 1.000000 
-dualbound = 1620818.851466, lowerbound=1059654.851466, norm of subgrad 1030.170788	dualbound = 1620818.851466, lowerbound=1059654.851466, norm of subgrad 44.218157	 stepsize= 1.000000 
-dualbound = 1621215.515127, lowerbound=1059847.515127, norm of subgrad 1030.261867	dualbound = 1621215.515127, lowerbound=1059847.515127, norm of subgrad 44.594435	 stepsize= 1.000000 
-dualbound = 1621570.125337, lowerbound=1060890.125337, norm of subgrad 1030.783743	dualbound = 1621570.125337, lowerbound=1060890.125337, norm of subgrad 44.492811	 stepsize= 1.000000 
-dualbound = 1621985.566295, lowerbound=1057484.566295, norm of subgrad 1029.097452	dualbound = 1621985.566295, lowerbound=1057484.566295, norm of subgrad 44.412171	 stepsize= 1.000000 
-dualbound = 1622363.516959, lowerbound=1061358.516959, norm of subgrad 1031.005585	dualbound = 1622363.516959, lowerbound=1061358.516959, norm of subgrad 44.631275	 stepsize= 1.000000 
-dualbound = 1622741.240417, lowerbound=1058736.240417, norm of subgrad 1029.724837	dualbound = 1622741.240417, lowerbound=1058736.240417, norm of subgrad 44.437861	 stepsize= 1.000000 
-dualbound = 1623124.763218, lowerbound=1058512.763218, norm of subgrad 1029.622146	dualbound = 1623124.763218, lowerbound=1058512.763218, norm of subgrad 44.637684	 stepsize= 1.000000 
-dualbound = 1623504.686962, lowerbound=1062149.686962, norm of subgrad 1031.400837	dualbound = 1623504.686962, lowerbound=1062149.686962, norm of subgrad 44.921306	 stepsize= 1.000000 
-dualbound = 1623877.641483, lowerbound=1059953.641483, norm of subgrad 1030.369663	dualbound = 1623877.641483, lowerbound=1059953.641483, norm of subgrad 45.617480	 stepsize= 1.000000 
-dualbound = 1624242.237323, lowerbound=1060019.237323, norm of subgrad 1030.358305	dualbound = 1624242.237323, lowerbound=1060019.237323, norm of subgrad 44.537578	 stepsize= 1.000000 
-dualbound = 1624673.860805, lowerbound=1058590.860805, norm of subgrad 1029.628021	dualbound = 1624673.860805, lowerbound=1058590.860805, norm of subgrad 44.436736	 stepsize= 1.000000 
-dualbound = 1625061.906832, lowerbound=1062979.906832, norm of subgrad 1031.757194	dualbound = 1625061.906832, lowerbound=1062979.906832, norm of subgrad 43.943669	 stepsize= 1.000000 
-dualbound = 1625424.768503, lowerbound=1058489.768503, norm of subgrad 1029.627976	dualbound = 1625424.768503, lowerbound=1058489.768503, norm of subgrad 44.798010	 stepsize= 1.000000 
-dualbound = 1625774.264873, lowerbound=1062994.264873, norm of subgrad 1031.800012	dualbound = 1625774.264873, lowerbound=1062994.264873, norm of subgrad 44.345196	 stepsize= 1.000000 
-dualbound = 1626179.324177, lowerbound=1059358.324177, norm of subgrad 1030.030254	dualbound = 1626179.324177, lowerbound=1059358.324177, norm of subgrad 44.822531	 stepsize= 1.000000 
-dualbound = 1626560.511202, lowerbound=1061933.511202, norm of subgrad 1031.282459	dualbound = 1626560.511202, lowerbound=1061933.511202, norm of subgrad 44.622719	 stepsize= 1.000000 
-dualbound = 1626967.383417, lowerbound=1060120.383417, norm of subgrad 1030.396226	dualbound = 1626967.383417, lowerbound=1060120.383417, norm of subgrad 44.753460	 stepsize= 1.000000 
-dualbound = 1627294.895530, lowerbound=1059754.895530, norm of subgrad 1030.230506	dualbound = 1627294.895530, lowerbound=1059754.895530, norm of subgrad 44.130626	 stepsize= 1.000000 
-dualbound = 1627721.799014, lowerbound=1059802.799014, norm of subgrad 1030.258123	dualbound = 1627721.799014, lowerbound=1059802.799014, norm of subgrad 45.342072	 stepsize= 1.000000 
-dualbound = 1628062.310759, lowerbound=1061328.310759, norm of subgrad 1031.000151	dualbound = 1628062.310759, lowerbound=1061328.310759, norm of subgrad 44.424225	 stepsize= 1.000000 
-dualbound = 1628456.765276, lowerbound=1058169.765276, norm of subgrad 1029.451196	dualbound = 1628456.765276, lowerbound=1058169.765276, norm of subgrad 44.659316	 stepsize= 1.000000 
-dualbound = 1628869.284936, lowerbound=1062493.284936, norm of subgrad 1031.571755	dualbound = 1628869.284936, lowerbound=1062493.284936, norm of subgrad 45.381931	 stepsize= 1.000000 
-dualbound = 1629235.498985, lowerbound=1059176.498985, norm of subgrad 1029.918200	dualbound = 1629235.498985, lowerbound=1059176.498985, norm of subgrad 43.831656	 stepsize= 1.000000 
-dualbound = 1629629.283604, lowerbound=1061353.283604, norm of subgrad 1030.966189	dualbound = 1629629.283604, lowerbound=1061353.283604, norm of subgrad 43.952072	 stepsize= 1.000000 
-dualbound = 1630008.321356, lowerbound=1056377.321356, norm of subgrad 1028.558370	dualbound = 1630008.321356, lowerbound=1056377.321356, norm of subgrad 43.977696	 stepsize= 1.000000 
-dualbound = 1630376.975197, lowerbound=1064507.975197, norm of subgrad 1032.515847	dualbound = 1630376.975197, lowerbound=1064507.975197, norm of subgrad 44.154885	 stepsize= 1.000000 
-dualbound = 1630768.426956, lowerbound=1057663.426956, norm of subgrad 1029.203783	dualbound = 1630768.426956, lowerbound=1057663.426956, norm of subgrad 44.592059	 stepsize= 1.000000 
-dualbound = 1631159.412984, lowerbound=1062857.412984, norm of subgrad 1031.726908	dualbound = 1631159.412984, lowerbound=1062857.412984, norm of subgrad 44.654071	 stepsize= 1.000000 
-dualbound = 1631496.217071, lowerbound=1059969.217071, norm of subgrad 1030.363148	dualbound = 1631496.217071, lowerbound=1059969.217071, norm of subgrad 44.897707	 stepsize= 1.000000 
-dualbound = 1631893.275615, lowerbound=1060938.275615, norm of subgrad 1030.807584	dualbound = 1631893.275615, lowerbound=1060938.275615, norm of subgrad 44.978423	 stepsize= 1.000000 
-dualbound = 1632297.525805, lowerbound=1058083.525805, norm of subgrad 1029.406395	dualbound = 1632297.525805, lowerbound=1058083.525805, norm of subgrad 44.701792	 stepsize= 1.000000 
-dualbound = 1632659.133168, lowerbound=1063353.133168, norm of subgrad 1031.998611	dualbound = 1632659.133168, lowerbound=1063353.133168, norm of subgrad 45.051164	 stepsize= 1.000000 
-dualbound = 1633035.366498, lowerbound=1061707.366498, norm of subgrad 1031.184933	dualbound = 1633035.366498, lowerbound=1061707.366498, norm of subgrad 44.846776	 stepsize= 1.000000 
-dualbound = 1633414.964169, lowerbound=1059903.964169, norm of subgrad 1030.311101	dualbound = 1633414.964169, lowerbound=1059903.964169, norm of subgrad 44.906544	 stepsize= 1.000000 
-dualbound = 1633817.893984, lowerbound=1061600.893984, norm of subgrad 1031.113909	dualbound = 1633817.893984, lowerbound=1061600.893984, norm of subgrad 44.698208	 stepsize= 1.000000 
-dualbound = 1634189.301217, lowerbound=1060057.301217, norm of subgrad 1030.374350	dualbound = 1634189.301217, lowerbound=1060057.301217, norm of subgrad 44.557909	 stepsize= 1.000000 
-dualbound = 1634574.039138, lowerbound=1057796.039138, norm of subgrad 1029.268206	dualbound = 1634574.039138, lowerbound=1057796.039138, norm of subgrad 44.516715	 stepsize= 1.000000 
-dualbound = 1634949.808512, lowerbound=1064756.808512, norm of subgrad 1032.695409	dualbound = 1634949.808512, lowerbound=1064756.808512, norm of subgrad 45.593523	 stepsize= 1.000000 
-dualbound = 1635282.920536, lowerbound=1058014.920536, norm of subgrad 1029.392015	dualbound = 1635282.920536, lowerbound=1058014.920536, norm of subgrad 44.340862	 stepsize= 1.000000 
-dualbound = 1635721.276553, lowerbound=1063594.276553, norm of subgrad 1032.091700	dualbound = 1635721.276553, lowerbound=1063594.276553, norm of subgrad 45.358087	 stepsize= 1.000000 
-dualbound = 1636054.577377, lowerbound=1060435.577377, norm of subgrad 1030.581184	dualbound = 1636054.577377, lowerbound=1060435.577377, norm of subgrad 44.668790	 stepsize= 1.000000 
-dualbound = 1636451.657251, lowerbound=1061634.657251, norm of subgrad 1031.131251	dualbound = 1636451.657251, lowerbound=1061634.657251, norm of subgrad 44.655121	 stepsize= 1.000000 
-dualbound = 1636852.614784, lowerbound=1059775.614784, norm of subgrad 1030.216295	dualbound = 1636852.614784, lowerbound=1059775.614784, norm of subgrad 44.395467	 stepsize= 1.000000 
-dualbound = 1637222.080646, lowerbound=1059340.080646, norm of subgrad 1030.032563	dualbound = 1637222.080646, lowerbound=1059340.080646, norm of subgrad 44.681829	 stepsize= 1.000000 
-dualbound = 1637591.602912, lowerbound=1063327.602912, norm of subgrad 1031.967830	dualbound = 1637591.602912, lowerbound=1063327.602912, norm of subgrad 44.716018	 stepsize= 1.000000 
-dualbound = 1637984.075478, lowerbound=1057670.075478, norm of subgrad 1029.245391	dualbound = 1637984.075478, lowerbound=1057670.075478, norm of subgrad 45.480464	 stepsize= 1.000000 
-dualbound = 1638340.165466, lowerbound=1063114.165466, norm of subgrad 1031.823709	dualbound = 1638340.165466, lowerbound=1063114.165466, norm of subgrad 43.612957	 stepsize= 1.000000 
-dualbound = 1638785.463449, lowerbound=1064354.463449, norm of subgrad 1032.417291	dualbound = 1638785.463449, lowerbound=1064354.463449, norm of subgrad 44.455573	 stepsize= 1.000000 
-dualbound = 1639120.166151, lowerbound=1057344.166151, norm of subgrad 1029.061303	dualbound = 1639120.166151, lowerbound=1057344.166151, norm of subgrad 44.245934	 stepsize= 1.000000 
-dualbound = 1639516.163855, lowerbound=1063917.163855, norm of subgrad 1032.254408	dualbound = 1639516.163855, lowerbound=1063917.163855, norm of subgrad 45.033296	 stepsize= 1.000000 
-dualbound = 1639858.294857, lowerbound=1058701.294857, norm of subgrad 1029.736032	dualbound = 1639858.294857, lowerbound=1058701.294857, norm of subgrad 44.689272	 stepsize= 1.000000 
-dualbound = 1640260.877785, lowerbound=1063190.877785, norm of subgrad 1031.884624	dualbound = 1640260.877785, lowerbound=1063190.877785, norm of subgrad 44.694328	 stepsize= 1.000000 
-dualbound = 1640634.174028, lowerbound=1060245.174028, norm of subgrad 1030.457750	dualbound = 1640634.174028, lowerbound=1060245.174028, norm of subgrad 44.399282	 stepsize= 1.000000 
-dualbound = 1641015.141309, lowerbound=1061817.141309, norm of subgrad 1031.233796	dualbound = 1641015.141309, lowerbound=1061817.141309, norm of subgrad 44.799188	 stepsize= 1.000000 
-dualbound = 1641382.398587, lowerbound=1060981.398587, norm of subgrad 1030.831411	dualbound = 1641382.398587, lowerbound=1060981.398587, norm of subgrad 44.713055	 stepsize= 1.000000 
-dualbound = 1641771.226624, lowerbound=1063973.226624, norm of subgrad 1032.278657	dualbound = 1641771.226624, lowerbound=1063973.226624, norm of subgrad 44.886836	 stepsize= 1.000000 
-dualbound = 1642140.132010, lowerbound=1058530.132010, norm of subgrad 1029.638350	dualbound = 1642140.132010, lowerbound=1058530.132010, norm of subgrad 44.653168	 stepsize= 1.000000 
-dualbound = 1642513.476258, lowerbound=1062183.476258, norm of subgrad 1031.409461	dualbound = 1642513.476258, lowerbound=1062183.476258, norm of subgrad 44.669276	 stepsize= 1.000000 
-dualbound = 1642899.394695, lowerbound=1061360.394695, norm of subgrad 1031.023470	dualbound = 1642899.394695, lowerbound=1061360.394695, norm of subgrad 45.110070	 stepsize= 1.000000 
-dualbound = 1643272.739583, lowerbound=1061807.739583, norm of subgrad 1031.220025	dualbound = 1643272.739583, lowerbound=1061807.739583, norm of subgrad 44.501066	 stepsize= 1.000000 
-dualbound = 1643663.733517, lowerbound=1063046.733517, norm of subgrad 1031.827860	dualbound = 1643663.733517, lowerbound=1063046.733517, norm of subgrad 44.866401	 stepsize= 1.000000 
-dualbound = 1644024.657159, lowerbound=1061820.657159, norm of subgrad 1031.230167	dualbound = 1644024.657159, lowerbound=1061820.657159, norm of subgrad 44.451363	 stepsize= 1.000000 
-dualbound = 1644402.609848, lowerbound=1064355.609848, norm of subgrad 1032.495332	dualbound = 1644402.609848, lowerbound=1064355.609848, norm of subgrad 45.485742	 stepsize= 1.000000 
-dualbound = 1644780.334110, lowerbound=1059848.334110, norm of subgrad 1030.277795	dualbound = 1644780.334110, lowerbound=1059848.334110, norm of subgrad 44.740633	 stepsize= 1.000000 
-dualbound = 1645158.637163, lowerbound=1058096.637163, norm of subgrad 1029.410335	dualbound = 1645158.637163, lowerbound=1058096.637163, norm of subgrad 44.354290	 stepsize= 1.000000 
-dualbound = 1645539.091524, lowerbound=1062899.091524, norm of subgrad 1031.742745	dualbound = 1645539.091524, lowerbound=1062899.091524, norm of subgrad 44.434833	 stepsize= 1.000000 
-dualbound = 1645931.226612, lowerbound=1061443.226612, norm of subgrad 1031.057819	dualbound = 1645931.226612, lowerbound=1061443.226612, norm of subgrad 45.045922	 stepsize= 1.000000 
-dualbound = 1646267.495711, lowerbound=1063311.495711, norm of subgrad 1031.958573	dualbound = 1646267.495711, lowerbound=1063311.495711, norm of subgrad 44.308793	 stepsize= 1.000000 
-dualbound = 1646669.026146, lowerbound=1061344.026146, norm of subgrad 1030.997588	dualbound = 1646669.026146, lowerbound=1061344.026146, norm of subgrad 44.872379	 stepsize= 1.000000 
-dualbound = 1647041.420997, lowerbound=1062695.420997, norm of subgrad 1031.624651	dualbound = 1647041.420997, lowerbound=1062695.420997, norm of subgrad 43.890715	 stepsize= 1.000000 
-dualbound = 1647449.833827, lowerbound=1060076.833827, norm of subgrad 1030.357139	dualbound = 1647449.833827, lowerbound=1060076.833827, norm of subgrad 44.355528	 stepsize= 1.000000 
-dualbound = 1647775.550972, lowerbound=1065410.550972, norm of subgrad 1033.019144	dualbound = 1647775.550972, lowerbound=1065410.550972, norm of subgrad 45.207490	 stepsize= 1.000000 
-dualbound = 1648137.850547, lowerbound=1057902.850547, norm of subgrad 1029.375466	dualbound = 1648137.850547, lowerbound=1057902.850547, norm of subgrad 45.533499	 stepsize= 1.000000 
-dualbound = 1648533.934286, lowerbound=1062684.934286, norm of subgrad 1031.637017	dualbound = 1648533.934286, lowerbound=1062684.934286, norm of subgrad 44.565499	 stepsize= 1.000000 
-dualbound = 1648929.503851, lowerbound=1062050.503851, norm of subgrad 1031.316878	dualbound = 1648929.503851, lowerbound=1062050.503851, norm of subgrad 44.267026	 stepsize= 1.000000 
-dualbound = 1649306.651826, lowerbound=1062567.651826, norm of subgrad 1031.569994	dualbound = 1649306.651826, lowerbound=1062567.651826, norm of subgrad 44.115167	 stepsize= 1.000000 
-dualbound = 1649677.478731, lowerbound=1063354.478731, norm of subgrad 1031.978429	dualbound = 1649677.478731, lowerbound=1063354.478731, norm of subgrad 44.674679	 stepsize= 1.000000 
-dualbound = 1650020.655221, lowerbound=1060720.655221, norm of subgrad 1030.720454	dualbound = 1650020.655221, lowerbound=1060720.655221, norm of subgrad 44.801523	 stepsize= 1.000000 
-dualbound = 1650418.723437, lowerbound=1064494.723437, norm of subgrad 1032.533643	dualbound = 1650418.723437, lowerbound=1064494.723437, norm of subgrad 45.045180	 stepsize= 1.000000 
-dualbound = 1650786.670348, lowerbound=1061476.670348, norm of subgrad 1031.067733	dualbound = 1650786.670348, lowerbound=1061476.670348, norm of subgrad 44.631232	 stepsize= 1.000000 
-dualbound = 1651150.750449, lowerbound=1061533.750449, norm of subgrad 1031.110930	dualbound = 1651150.750449, lowerbound=1061533.750449, norm of subgrad 44.945301	 stepsize= 1.000000 
-dualbound = 1651533.667210, lowerbound=1061793.667210, norm of subgrad 1031.181200	dualbound = 1651533.667210, lowerbound=1061793.667210, norm of subgrad 43.862476	 stepsize= 1.000000 
-dualbound = 1651940.801400, lowerbound=1063759.801400, norm of subgrad 1032.183511	dualbound = 1651940.801400, lowerbound=1063759.801400, norm of subgrad 45.278408	 stepsize= 1.000000 
-dualbound = 1652254.349755, lowerbound=1062675.349755, norm of subgrad 1031.672598	dualbound = 1652254.349755, lowerbound=1062675.349755, norm of subgrad 44.570712	 stepsize= 1.000000 
-dualbound = 1652676.565589, lowerbound=1060783.565589, norm of subgrad 1030.697611	dualbound = 1652676.565589, lowerbound=1060783.565589, norm of subgrad 44.454649	 stepsize= 1.000000 
-dualbound = 1653013.566800, lowerbound=1062247.566800, norm of subgrad 1031.450710	dualbound = 1653013.566800, lowerbound=1062247.566800, norm of subgrad 44.497205	 stepsize= 1.000000 
-dualbound = 1653429.886202, lowerbound=1062115.886202, norm of subgrad 1031.351485	dualbound = 1653429.886202, lowerbound=1062115.886202, norm of subgrad 44.568143	 stepsize= 1.000000 
-dualbound = 1653810.687450, lowerbound=1062589.687450, norm of subgrad 1031.585521	dualbound = 1653810.687450, lowerbound=1062589.687450, norm of subgrad 44.269643	 stepsize= 1.000000 
-dualbound = 1654188.146922, lowerbound=1062550.146922, norm of subgrad 1031.534365	dualbound = 1654188.146922, lowerbound=1062550.146922, norm of subgrad 43.479414	 stepsize= 1.000000 
-dualbound = 1654535.206613, lowerbound=1064477.206613, norm of subgrad 1032.524192	dualbound = 1654535.206613, lowerbound=1064477.206613, norm of subgrad 44.452893	 stepsize= 1.000000 
-dualbound = 1654900.577441, lowerbound=1064157.577441, norm of subgrad 1032.388772	dualbound = 1654900.577441, lowerbound=1064157.577441, norm of subgrad 45.104000	 stepsize= 1.000000 
-dualbound = 1655263.650415, lowerbound=1061851.650415, norm of subgrad 1031.252467	dualbound = 1655263.650415, lowerbound=1061851.650415, norm of subgrad 44.643846	 stepsize= 1.000000 
-dualbound = 1655645.121010, lowerbound=1062917.121010, norm of subgrad 1031.725797	dualbound = 1655645.121010, lowerbound=1062917.121010, norm of subgrad 43.845987	 stepsize= 1.000000 
-dualbound = 1656043.542275, lowerbound=1061645.542275, norm of subgrad 1031.162229	dualbound = 1656043.542275, lowerbound=1061645.542275, norm of subgrad 45.259488	 stepsize= 1.000000 
-dualbound = 1656385.471817, lowerbound=1061629.471817, norm of subgrad 1031.142799	dualbound = 1656385.471817, lowerbound=1061629.471817, norm of subgrad 44.361352	 stepsize= 1.000000 
-dualbound = 1656786.854467, lowerbound=1066135.854467, norm of subgrad 1033.321274	dualbound = 1656786.854467, lowerbound=1066135.854467, norm of subgrad 44.926414	 stepsize= 1.000000 
-dualbound = 1657149.562995, lowerbound=1060926.562995, norm of subgrad 1030.764553	dualbound = 1657149.562995, lowerbound=1060926.562995, norm of subgrad 43.723089	 stepsize= 1.000000 
-dualbound = 1657536.520355, lowerbound=1064714.520355, norm of subgrad 1032.632810	dualbound = 1657536.520355, lowerbound=1064714.520355, norm of subgrad 44.754412	 stepsize= 1.000000 
-dualbound = 1657877.136988, lowerbound=1062571.136988, norm of subgrad 1031.596887	dualbound = 1657877.136988, lowerbound=1062571.136988, norm of subgrad 44.290141	 stepsize= 1.000000 
-dualbound = 1658249.703594, lowerbound=1060888.703594, norm of subgrad 1030.755889	dualbound = 1658249.703594, lowerbound=1060888.703594, norm of subgrad 44.063211	 stepsize= 1.000000 
-dualbound = 1658664.989940, lowerbound=1065711.989940, norm of subgrad 1033.079373	dualbound = 1658664.989940, lowerbound=1065711.989940, norm of subgrad 44.229926	 stepsize= 1.000000 
-dualbound = 1659029.503687, lowerbound=1061774.503687, norm of subgrad 1031.171908	dualbound = 1659029.503687, lowerbound=1061774.503687, norm of subgrad 43.652191	 stepsize= 1.000000 
-dualbound = 1659380.604055, lowerbound=1064567.604055, norm of subgrad 1032.582008	dualbound = 1659380.604055, lowerbound=1064567.604055, norm of subgrad 44.822989	 stepsize= 1.000000 
-dualbound = 1659718.455781, lowerbound=1060590.455781, norm of subgrad 1030.668451	dualbound = 1659718.455781, lowerbound=1060590.455781, norm of subgrad 44.998352	 stepsize= 1.000000 
-dualbound = 1660100.454055, lowerbound=1066842.454055, norm of subgrad 1033.689728	dualbound = 1660100.454055, lowerbound=1066842.454055, norm of subgrad 45.321058	 stepsize= 1.000000 
-dualbound = 1660490.674342, lowerbound=1059614.674342, norm of subgrad 1030.144007	dualbound = 1660490.674342, lowerbound=1059614.674342, norm of subgrad 44.409687	 stepsize= 1.000000 
-dualbound = 1660874.076412, lowerbound=1063361.076412, norm of subgrad 1031.982111	dualbound = 1660874.076412, lowerbound=1063361.076412, norm of subgrad 44.826355	 stepsize= 1.000000 
-dualbound = 1661223.134200, lowerbound=1064407.134200, norm of subgrad 1032.482995	dualbound = 1661223.134200, lowerbound=1064407.134200, norm of subgrad 44.306408	 stepsize= 1.000000 
-dualbound = 1661629.223692, lowerbound=1061606.223692, norm of subgrad 1031.104856	dualbound = 1661629.223692, lowerbound=1061606.223692, norm of subgrad 44.464474	 stepsize= 1.000000 
-dualbound = 1661991.984049, lowerbound=1067429.984049, norm of subgrad 1033.913432	dualbound = 1661991.984049, lowerbound=1067429.984049, norm of subgrad 43.700805	 stepsize= 1.000000 
-dualbound = 1662363.381364, lowerbound=1060848.381364, norm of subgrad 1030.764950	dualbound = 1662363.381364, lowerbound=1060848.381364, norm of subgrad 44.714621	 stepsize= 1.000000 
-dualbound = 1662717.510139, lowerbound=1066902.510139, norm of subgrad 1033.703783	dualbound = 1662717.510139, lowerbound=1066902.510139, norm of subgrad 44.666864	 stepsize= 1.000000 
-dualbound = 1663088.557505, lowerbound=1060043.557505, norm of subgrad 1030.341961	dualbound = 1663088.557505, lowerbound=1060043.557505, norm of subgrad 43.955061	 stepsize= 1.000000 
-dualbound = 1663476.615246, lowerbound=1065997.615246, norm of subgrad 1033.247606	dualbound = 1663476.615246, lowerbound=1065997.615246, norm of subgrad 44.621270	 stepsize= 1.000000 
-dualbound = 1663840.985777, lowerbound=1062643.985777, norm of subgrad 1031.618140	dualbound = 1663840.985777, lowerbound=1062643.985777, norm of subgrad 44.230878	 stepsize= 1.000000 
-dualbound = 1664216.838926, lowerbound=1065202.838926, norm of subgrad 1032.862933	dualbound = 1664216.838926, lowerbound=1065202.838926, norm of subgrad 44.484302	 stepsize= 1.000000 
-dualbound = 1664574.321132, lowerbound=1064267.321132, norm of subgrad 1032.414317	dualbound = 1664574.321132, lowerbound=1064267.321132, norm of subgrad 44.378849	 stepsize= 1.000000 
-dualbound = 1664955.841944, lowerbound=1062337.841944, norm of subgrad 1031.458114	dualbound = 1664955.841944, lowerbound=1062337.841944, norm of subgrad 44.153378	 stepsize= 1.000000 
-dualbound = 1665312.112795, lowerbound=1064044.112795, norm of subgrad 1032.294102	dualbound = 1665312.112795, lowerbound=1064044.112795, norm of subgrad 44.082546	 stepsize= 1.000000 
-dualbound = 1665675.836191, lowerbound=1064851.836191, norm of subgrad 1032.680898	dualbound = 1665675.836191, lowerbound=1064851.836191, norm of subgrad 44.064991	 stepsize= 1.000000 
-dualbound = 1666061.790891, lowerbound=1063474.790891, norm of subgrad 1032.020247	dualbound = 1666061.790891, lowerbound=1063474.790891, norm of subgrad 44.462959	 stepsize= 1.000000 
-dualbound = 1666417.433122, lowerbound=1062735.433122, norm of subgrad 1031.665853	dualbound = 1666417.433122, lowerbound=1062735.433122, norm of subgrad 44.211336	 stepsize= 1.000000 
-dualbound = 1666780.010143, lowerbound=1064481.010143, norm of subgrad 1032.530392	dualbound = 1666780.010143, lowerbound=1064481.010143, norm of subgrad 44.727810	 stepsize= 1.000000 
-dualbound = 1667140.061163, lowerbound=1065660.061163, norm of subgrad 1033.110866	dualbound = 1667140.061163, lowerbound=1065660.061163, norm of subgrad 44.922723	 stepsize= 1.000000 
-dualbound = 1667496.783066, lowerbound=1064059.783066, norm of subgrad 1032.307988	dualbound = 1667496.783066, lowerbound=1064059.783066, norm of subgrad 44.234849	 stepsize= 1.000000 
-dualbound = 1667889.645399, lowerbound=1062997.645399, norm of subgrad 1031.802135	dualbound = 1667889.645399, lowerbound=1062997.645399, norm of subgrad 44.842640	 stepsize= 1.000000 
-dualbound = 1668239.734961, lowerbound=1064566.734961, norm of subgrad 1032.578198	dualbound = 1668239.734961, lowerbound=1064566.734961, norm of subgrad 44.733540	 stepsize= 1.000000 
-dualbound = 1668617.221441, lowerbound=1066186.221441, norm of subgrad 1033.333548	dualbound = 1668617.221441, lowerbound=1066186.221441, norm of subgrad 44.378897	 stepsize= 1.000000 
-dualbound = 1668975.337085, lowerbound=1064097.337085, norm of subgrad 1032.357659	dualbound = 1668975.337085, lowerbound=1064097.337085, norm of subgrad 44.979058	 stepsize= 1.000000 
-dualbound = 1669335.800446, lowerbound=1065510.800446, norm of subgrad 1033.030881	dualbound = 1669335.800446, lowerbound=1065510.800446, norm of subgrad 44.748892	 stepsize= 1.000000 
-dualbound = 1669724.800595, lowerbound=1062855.800595, norm of subgrad 1031.724673	dualbound = 1669724.800595, lowerbound=1062855.800595, norm of subgrad 44.598208	 stepsize= 1.000000 
-dualbound = 1670093.354828, lowerbound=1063496.354828, norm of subgrad 1032.040869	dualbound = 1670093.354828, lowerbound=1063496.354828, norm of subgrad 44.503418	 stepsize= 1.000000 
-dualbound = 1670460.391765, lowerbound=1063871.391765, norm of subgrad 1032.209471	dualbound = 1670460.391765, lowerbound=1063871.391765, norm of subgrad 44.181862	 stepsize= 1.000000 
-dualbound = 1670825.205842, lowerbound=1062906.205842, norm of subgrad 1031.762185	dualbound = 1670825.205842, lowerbound=1062906.205842, norm of subgrad 44.629744	 stepsize= 1.000000 
-dualbound = 1671180.628611, lowerbound=1064543.628611, norm of subgrad 1032.550545	dualbound = 1671180.628611, lowerbound=1064543.628611, norm of subgrad 44.411967	 stepsize= 1.000000 
-dualbound = 1671578.750390, lowerbound=1065408.750390, norm of subgrad 1032.928241	dualbound = 1671578.750390, lowerbound=1065408.750390, norm of subgrad 43.933151	 stepsize= 1.000000 
-dualbound = 1671937.758937, lowerbound=1064899.758937, norm of subgrad 1032.689091	dualbound = 1671937.758937, lowerbound=1064899.758937, norm of subgrad 43.657858	 stepsize= 1.000000 
-dualbound = 1672319.518558, lowerbound=1067964.518558, norm of subgrad 1034.207677	dualbound = 1672319.518558, lowerbound=1067964.518558, norm of subgrad 44.752202	 stepsize= 1.000000 
-dualbound = 1672651.708146, lowerbound=1061220.708146, norm of subgrad 1030.948451	dualbound = 1672651.708146, lowerbound=1061220.708146, norm of subgrad 44.341736	 stepsize= 1.000000 
-dualbound = 1673025.648350, lowerbound=1067919.648350, norm of subgrad 1034.196136	dualbound = 1673025.648350, lowerbound=1067919.648350, norm of subgrad 44.899223	 stepsize= 1.000000 
-dualbound = 1673364.340951, lowerbound=1062400.340951, norm of subgrad 1031.518948	dualbound = 1673364.340951, lowerbound=1062400.340951, norm of subgrad 44.381219	 stepsize= 1.000000 
-dualbound = 1673763.818800, lowerbound=1066387.818800, norm of subgrad 1033.454798	dualbound = 1673763.818800, lowerbound=1066387.818800, norm of subgrad 45.171649	 stepsize= 1.000000 
-dualbound = 1674100.321934, lowerbound=1060822.321934, norm of subgrad 1030.786749	dualbound = 1674100.321934, lowerbound=1060822.321934, norm of subgrad 45.116551	 stepsize= 1.000000 
-dualbound = 1674463.542618, lowerbound=1069586.542618, norm of subgrad 1035.003161	dualbound = 1674463.542618, lowerbound=1069586.542618, norm of subgrad 44.813175	 stepsize= 1.000000 
-dualbound = 1674869.908597, lowerbound=1062991.908597, norm of subgrad 1031.743141	dualbound = 1674869.908597, lowerbound=1062991.908597, norm of subgrad 43.684848	 stepsize= 1.000000 
-dualbound = 1675214.007548, lowerbound=1064181.007548, norm of subgrad 1032.352657	dualbound = 1675214.007548, lowerbound=1064181.007548, norm of subgrad 43.761844	 stepsize= 1.000000 
-dualbound = 1675591.072552, lowerbound=1066247.072552, norm of subgrad 1033.357669	dualbound = 1675591.072552, lowerbound=1066247.072552, norm of subgrad 44.250028	 stepsize= 1.000000 
-dualbound = 1675940.494759, lowerbound=1064264.494759, norm of subgrad 1032.403262	dualbound = 1675940.494759, lowerbound=1064264.494759, norm of subgrad 44.061573	 stepsize= 1.000000 
-dualbound = 1676313.957974, lowerbound=1064813.957974, norm of subgrad 1032.666431	dualbound = 1676313.957974, lowerbound=1064813.957974, norm of subgrad 44.265824	 stepsize= 1.000000 
-dualbound = 1676682.246050, lowerbound=1066081.246050, norm of subgrad 1033.278881	dualbound = 1676682.246050, lowerbound=1066081.246050, norm of subgrad 44.184704	 stepsize= 1.000000 
-dualbound = 1677045.400397, lowerbound=1062832.400397, norm of subgrad 1031.752102	dualbound = 1677045.400397, lowerbound=1062832.400397, norm of subgrad 45.201265	 stepsize= 1.000000 
-dualbound = 1677404.589070, lowerbound=1066434.589070, norm of subgrad 1033.443559	dualbound = 1677404.589070, lowerbound=1066434.589070, norm of subgrad 43.933913	 stepsize= 1.000000 
-dualbound = 1677785.736142, lowerbound=1063951.736142, norm of subgrad 1032.257108	dualbound = 1677785.736142, lowerbound=1063951.736142, norm of subgrad 44.543766	 stepsize= 1.000000 
-dualbound = 1678149.731162, lowerbound=1065827.731162, norm of subgrad 1033.160070	dualbound = 1678149.731162, lowerbound=1065827.731162, norm of subgrad 44.226632	 stepsize= 1.000000 
-dualbound = 1678529.350069, lowerbound=1063041.350069, norm of subgrad 1031.821375	dualbound = 1678529.350069, lowerbound=1063041.350069, norm of subgrad 44.649960	 stepsize= 1.000000 
-dualbound = 1678870.316943, lowerbound=1065532.316943, norm of subgrad 1033.014674	dualbound = 1678870.316943, lowerbound=1065532.316943, norm of subgrad 43.908620	 stepsize= 1.000000 
-dualbound = 1679255.171981, lowerbound=1065784.171980, norm of subgrad 1033.132698	dualbound = 1679255.171981, lowerbound=1065784.171980, norm of subgrad 44.315404	 stepsize= 1.000000 
-dualbound = 1679617.223559, lowerbound=1066103.223559, norm of subgrad 1033.274999	dualbound = 1679617.223559, lowerbound=1066103.223559, norm of subgrad 43.772726	 stepsize= 1.000000 
-dualbound = 1680002.194178, lowerbound=1064673.194178, norm of subgrad 1032.621031	dualbound = 1680002.194178, lowerbound=1064673.194178, norm of subgrad 44.921828	 stepsize= 1.000000 
-dualbound = 1680298.909103, lowerbound=1067313.909103, norm of subgrad 1033.901305	dualbound = 1680298.909103, lowerbound=1067313.909103, norm of subgrad 43.985394	 stepsize= 1.000000 
-dualbound = 1680716.883027, lowerbound=1065578.883027, norm of subgrad 1033.017852	dualbound = 1680716.883027, lowerbound=1065578.883027, norm of subgrad 44.328026	 stepsize= 1.000000 
-dualbound = 1681064.710281, lowerbound=1066042.710281, norm of subgrad 1033.264105	dualbound = 1681064.710281, lowerbound=1066042.710281, norm of subgrad 44.043470	 stepsize= 1.000000 
-dualbound = 1681436.565213, lowerbound=1065086.565213, norm of subgrad 1032.854571	dualbound = 1681436.565213, lowerbound=1065086.565213, norm of subgrad 45.539597	 stepsize= 1.000000 
-dualbound = 1681756.696352, lowerbound=1065289.696352, norm of subgrad 1032.905947	dualbound = 1681756.696352, lowerbound=1065289.696352, norm of subgrad 43.876316	 stepsize= 1.000000 
-dualbound = 1682178.441624, lowerbound=1066275.441624, norm of subgrad 1033.369944	dualbound = 1682178.441624, lowerbound=1066275.441624, norm of subgrad 44.718512	 stepsize= 1.000000 
-dualbound = 1682517.478602, lowerbound=1066007.478602, norm of subgrad 1033.244636	dualbound = 1682517.478602, lowerbound=1066007.478602, norm of subgrad 43.886638	 stepsize= 1.000000 
-dualbound = 1682892.244018, lowerbound=1062282.244018, norm of subgrad 1031.432133	dualbound = 1682892.244018, lowerbound=1062282.244018, norm of subgrad 44.099495	 stepsize= 1.000000 
-dualbound = 1683248.755925, lowerbound=1067211.755925, norm of subgrad 1033.809342	dualbound = 1683248.755925, lowerbound=1067211.755925, norm of subgrad 43.663622	 stepsize= 1.000000 
-dualbound = 1683629.023983, lowerbound=1063690.023983, norm of subgrad 1032.159399	dualbound = 1683629.023983, lowerbound=1063690.023983, norm of subgrad 45.202523	 stepsize= 1.000000 
-dualbound = 1683951.154737, lowerbound=1065116.154737, norm of subgrad 1032.875188	dualbound = 1683951.154737, lowerbound=1065116.154737, norm of subgrad 45.134585	 stepsize= 1.000000 
-dualbound = 1684330.306736, lowerbound=1067490.306736, norm of subgrad 1033.984191	dualbound = 1684330.306736, lowerbound=1067490.306736, norm of subgrad 44.857017	 stepsize= 1.000000 
-dualbound = 1684713.452175, lowerbound=1064094.452175, norm of subgrad 1032.296204	dualbound = 1684713.452175, lowerbound=1064094.452175, norm of subgrad 43.865082	 stepsize= 1.000000 
-dualbound = 1685079.447134, lowerbound=1066724.447134, norm of subgrad 1033.629260	dualbound = 1685079.447134, lowerbound=1066724.447134, norm of subgrad 45.066561	 stepsize= 1.000000 
-dualbound = 1685416.144282, lowerbound=1066768.144282, norm of subgrad 1033.640239	dualbound = 1685416.144282, lowerbound=1066768.144282, norm of subgrad 44.505024	 stepsize= 1.000000 
-dualbound = 1685800.231282, lowerbound=1064324.231282, norm of subgrad 1032.440909	dualbound = 1685800.231282, lowerbound=1064324.231282, norm of subgrad 44.655201	 stepsize= 1.000000 
-dualbound = 1686152.623932, lowerbound=1068408.623932, norm of subgrad 1034.434930	dualbound = 1686152.623932, lowerbound=1068408.623932, norm of subgrad 44.714569	 stepsize= 1.000000 
-dualbound = 1686487.239640, lowerbound=1064971.239640, norm of subgrad 1032.761947	dualbound = 1686487.239640, lowerbound=1064971.239640, norm of subgrad 44.278840	 stepsize= 1.000000 
-dualbound = 1686878.126209, lowerbound=1065220.126209, norm of subgrad 1032.876627	dualbound = 1686878.126209, lowerbound=1065220.126209, norm of subgrad 44.775960	 stepsize= 1.000000 
-dualbound = 1687228.835202, lowerbound=1065471.835202, norm of subgrad 1032.987335	dualbound = 1687228.835202, lowerbound=1065471.835202, norm of subgrad 44.064827	 stepsize= 1.000000 
-dualbound = 1687612.620644, lowerbound=1067023.620644, norm of subgrad 1033.730923	dualbound = 1687612.620644, lowerbound=1067023.620644, norm of subgrad 44.269464	 stepsize= 1.000000 
-dualbound = 1687971.240737, lowerbound=1066410.240737, norm of subgrad 1033.455002	dualbound = 1687971.240737, lowerbound=1066410.240737, norm of subgrad 44.470441	 stepsize= 1.000000 
-dualbound = 1688327.170167, lowerbound=1065941.170167, norm of subgrad 1033.213516	dualbound = 1688327.170167, lowerbound=1065941.170167, norm of subgrad 44.101354	 stepsize= 1.000000 
-dualbound = 1688698.377090, lowerbound=1066567.377090, norm of subgrad 1033.490386	dualbound = 1688698.377090, lowerbound=1066567.377090, norm of subgrad 43.660130	 stepsize= 1.000000 
-dualbound = 1689059.880631, lowerbound=1064884.880631, norm of subgrad 1032.714811	dualbound = 1689059.880631, lowerbound=1064884.880631, norm of subgrad 44.457885	 stepsize= 1.000000 
-dualbound = 1689412.240299, lowerbound=1067867.240299, norm of subgrad 1034.150976	dualbound = 1689412.240299, lowerbound=1067867.240299, norm of subgrad 44.196829	 stepsize= 1.000000 
-dualbound = 1689781.500265, lowerbound=1064452.500265, norm of subgrad 1032.476876	dualbound = 1689781.500265, lowerbound=1064452.500265, norm of subgrad 43.877784	 stepsize= 1.000000 
-dualbound = 1690157.320565, lowerbound=1067610.320565, norm of subgrad 1034.012244	dualbound = 1690157.320565, lowerbound=1067610.320565, norm of subgrad 44.122787	 stepsize= 1.000000 
-dualbound = 1690496.267500, lowerbound=1066085.267500, norm of subgrad 1033.305505	dualbound = 1690496.267500, lowerbound=1066085.267500, norm of subgrad 44.429123	 stepsize= 1.000000 
-dualbound = 1690854.271985, lowerbound=1068056.271985, norm of subgrad 1034.238499	dualbound = 1690854.271985, lowerbound=1068056.271985, norm of subgrad 44.170176	 stepsize= 1.000000 
-dualbound = 1691236.958095, lowerbound=1061925.958095, norm of subgrad 1031.235161	dualbound = 1691236.958095, lowerbound=1061925.958095, norm of subgrad 43.619790	 stepsize= 1.000000 
-dualbound = 1691614.044531, lowerbound=1069672.044531, norm of subgrad 1035.026591	dualbound = 1691614.044531, lowerbound=1069672.044531, norm of subgrad 44.554309	 stepsize= 1.000000 
-dualbound = 1691952.809657, lowerbound=1068605.809657, norm of subgrad 1034.483837	dualbound = 1691952.809657, lowerbound=1068605.809657, norm of subgrad 43.471429	 stepsize= 1.000000 
-dualbound = 1692320.288026, lowerbound=1064929.288026, norm of subgrad 1032.728565	dualbound = 1692320.288026, lowerbound=1064929.288026, norm of subgrad 44.344993	 stepsize= 1.000000 
-dualbound = 1692696.854185, lowerbound=1065610.854185, norm of subgrad 1033.018322	dualbound = 1692696.854185, lowerbound=1065610.854185, norm of subgrad 43.503634	 stepsize= 1.000000 
-dualbound = 1693047.784282, lowerbound=1066619.784282, norm of subgrad 1033.555893	dualbound = 1693047.784282, lowerbound=1066619.784282, norm of subgrad 44.372628	 stepsize= 1.000000 
-dualbound = 1693373.443803, lowerbound=1064601.443803, norm of subgrad 1032.589678	dualbound = 1693373.443803, lowerbound=1064601.443803, norm of subgrad 44.335759	 stepsize= 1.000000 
-dualbound = 1693774.696216, lowerbound=1068702.696216, norm of subgrad 1034.548064	dualbound = 1693774.696216, lowerbound=1068702.696216, norm of subgrad 44.589824	 stepsize= 1.000000 
-dualbound = 1694119.959246, lowerbound=1068173.959246, norm of subgrad 1034.316180	dualbound = 1694119.959246, lowerbound=1068173.959246, norm of subgrad 44.511381	 stepsize= 1.000000 
-dualbound = 1694448.149290, lowerbound=1068336.149290, norm of subgrad 1034.440984	dualbound = 1694448.149290, lowerbound=1068336.149290, norm of subgrad 45.389316	 stepsize= 1.000000 
-dualbound = 1694827.735587, lowerbound=1066696.735587, norm of subgrad 1033.575704	dualbound = 1694827.735587, lowerbound=1066696.735587, norm of subgrad 44.289799	 stepsize= 1.000000 
-dualbound = 1695202.367894, lowerbound=1063914.367894, norm of subgrad 1032.233679	dualbound = 1695202.367894, lowerbound=1063914.367894, norm of subgrad 44.346728	 stepsize= 1.000000 
-dualbound = 1695570.517760, lowerbound=1069456.517760, norm of subgrad 1034.919088	dualbound = 1695570.517760, lowerbound=1069456.517760, norm of subgrad 44.375104	 stepsize= 1.000000 
-dualbound = 1695935.051235, lowerbound=1066629.051235, norm of subgrad 1033.552636	dualbound = 1695935.051235, lowerbound=1066629.051235, norm of subgrad 44.345614	 stepsize= 1.000000 
-dualbound = 1696297.675299, lowerbound=1066387.675299, norm of subgrad 1033.406830	dualbound = 1696297.675299, lowerbound=1066387.675299, norm of subgrad 43.641999	 stepsize= 1.000000 
-dualbound = 1696668.152994, lowerbound=1066185.152994, norm of subgrad 1033.310289	dualbound = 1696668.152994, lowerbound=1066185.152994, norm of subgrad 43.766171	 stepsize= 1.000000 
-dualbound = 1697022.601509, lowerbound=1068296.601509, norm of subgrad 1034.335826	dualbound = 1697022.601509, lowerbound=1068296.601509, norm of subgrad 43.685793	 stepsize= 1.000000 
-dualbound = 1697394.296436, lowerbound=1067993.296436, norm of subgrad 1034.212404	dualbound = 1697394.296436, lowerbound=1067993.296436, norm of subgrad 44.426286	 stepsize= 1.000000 
-dualbound = 1697742.854231, lowerbound=1067952.854231, norm of subgrad 1034.192852	dualbound = 1697742.854231, lowerbound=1067952.854231, norm of subgrad 44.165120	 stepsize= 1.000000 
-dualbound = 1698094.494068, lowerbound=1067364.494068, norm of subgrad 1033.920932	dualbound = 1698094.494068, lowerbound=1067364.494068, norm of subgrad 44.493144	 stepsize= 1.000000 
-dualbound = 1698451.937286, lowerbound=1066197.937286, norm of subgrad 1033.327604	dualbound = 1698451.937286, lowerbound=1066197.937286, norm of subgrad 43.879873	 stepsize= 1.000000 
-dualbound = 1698825.207982, lowerbound=1067078.207982, norm of subgrad 1033.793600	dualbound = 1698825.207982, lowerbound=1067078.207982, norm of subgrad 44.991896	 stepsize= 1.000000 
-dualbound = 1699160.778348, lowerbound=1070842.778348, norm of subgrad 1035.602133	dualbound = 1699160.778348, lowerbound=1070842.778348, norm of subgrad 44.323474	 stepsize= 1.000000 
-dualbound = 1699539.837148, lowerbound=1064524.837148, norm of subgrad 1032.528855	dualbound = 1699539.837148, lowerbound=1064524.837148, norm of subgrad 44.385344	 stepsize= 1.000000 
-dualbound = 1699893.521635, lowerbound=1067450.521635, norm of subgrad 1033.926265	dualbound = 1699893.521635, lowerbound=1067450.521635, norm of subgrad 43.665598	 stepsize= 1.000000 
-dualbound = 1700275.332326, lowerbound=1066101.332326, norm of subgrad 1033.280374	dualbound = 1700275.332326, lowerbound=1066101.332326, norm of subgrad 44.145336	 stepsize= 1.000000 
-dualbound = 1700624.011506, lowerbound=1070718.011506, norm of subgrad 1035.530787	dualbound = 1700624.011506, lowerbound=1070718.011506, norm of subgrad 44.211754	 stepsize= 1.000000 
-dualbound = 1701005.170888, lowerbound=1064660.170888, norm of subgrad 1032.543060	dualbound = 1701005.170888, lowerbound=1064660.170888, norm of subgrad 43.199067	 stepsize= 1.000000 
-dualbound = 1701413.148217, lowerbound=1067073.148217, norm of subgrad 1033.763584	dualbound = 1701413.148217, lowerbound=1067073.148217, norm of subgrad 44.743461	 stepsize= 1.000000 
-dualbound = 1701700.595914, lowerbound=1068393.595914, norm of subgrad 1034.417032	dualbound = 1701700.595914, lowerbound=1068393.595914, norm of subgrad 43.731541	 stepsize= 1.000000 
-dualbound = 1702061.394882, lowerbound=1067714.394882, norm of subgrad 1034.111404	dualbound = 1702061.394882, lowerbound=1067714.394882, norm of subgrad 45.086572	 stepsize= 1.000000 
-dualbound = 1702435.267974, lowerbound=1070216.267974, norm of subgrad 1035.272074	dualbound = 1702435.267974, lowerbound=1070216.267974, norm of subgrad 44.112052	 stepsize= 1.000000 
-dualbound = 1702814.649866, lowerbound=1066461.649866, norm of subgrad 1033.463908	dualbound = 1702814.649866, lowerbound=1066461.649866, norm of subgrad 44.332628	 stepsize= 1.000000 
-dualbound = 1703162.094762, lowerbound=1069387.094762, norm of subgrad 1034.902940	dualbound = 1703162.094762, lowerbound=1069387.094762, norm of subgrad 44.547109	 stepsize= 1.000000 
-dualbound = 1703502.840413, lowerbound=1066237.840413, norm of subgrad 1033.328525	dualbound = 1703502.840413, lowerbound=1066237.840413, norm of subgrad 43.252117	 stepsize= 1.000000 
-dualbound = 1703912.320993, lowerbound=1068391.320993, norm of subgrad 1034.377746	dualbound = 1703912.320993, lowerbound=1068391.320993, norm of subgrad 44.220816	 stepsize= 1.000000 
-dualbound = 1704239.030349, lowerbound=1067802.030348, norm of subgrad 1034.121381	dualbound = 1704239.030349, lowerbound=1067802.030348, norm of subgrad 43.951216	 stepsize= 1.000000 
-dualbound = 1704585.149023, lowerbound=1068042.149023, norm of subgrad 1034.214266	dualbound = 1704585.149023, lowerbound=1068042.149023, norm of subgrad 43.624748	 stepsize= 1.000000 
-dualbound = 1704967.442927, lowerbound=1069767.442927, norm of subgrad 1035.064946	dualbound = 1704967.442927, lowerbound=1069767.442927, norm of subgrad 44.433027	 stepsize= 1.000000 
-dualbound = 1705322.662419, lowerbound=1066804.662419, norm of subgrad 1033.647262	dualbound = 1705322.662419, lowerbound=1066804.662419, norm of subgrad 44.465936	 stepsize= 1.000000 
-dualbound = 1705669.919047, lowerbound=1066465.919047, norm of subgrad 1033.465006	dualbound = 1705669.919047, lowerbound=1066465.919047, norm of subgrad 43.946065	 stepsize= 1.000000 
-dualbound = 1706032.777291, lowerbound=1067253.777291, norm of subgrad 1033.879963	dualbound = 1706032.777291, lowerbound=1067253.777291, norm of subgrad 44.909445	 stepsize= 1.000000 
-dualbound = 1706392.010242, lowerbound=1069058.010242, norm of subgrad 1034.745867	dualbound = 1706392.010242, lowerbound=1069058.010242, norm of subgrad 44.723964	 stepsize= 1.000000 
-dualbound = 1706747.076917, lowerbound=1066733.076917, norm of subgrad 1033.576353	dualbound = 1706747.076917, lowerbound=1066733.076917, norm of subgrad 43.612689	 stepsize= 1.000000 
-dualbound = 1707149.763637, lowerbound=1067913.763637, norm of subgrad 1034.155097	dualbound = 1707149.763637, lowerbound=1067913.763637, norm of subgrad 44.336066	 stepsize= 1.000000 
-dualbound = 1707475.414579, lowerbound=1068129.414579, norm of subgrad 1034.294162	dualbound = 1707475.414579, lowerbound=1068129.414579, norm of subgrad 44.279238	 stepsize= 1.000000 
-dualbound = 1707834.519228, lowerbound=1068523.519228, norm of subgrad 1034.486597	dualbound = 1707834.519228, lowerbound=1068523.519228, norm of subgrad 44.700164	 stepsize= 1.000000 
-dualbound = 1708192.916781, lowerbound=1068567.916781, norm of subgrad 1034.495972	dualbound = 1708192.916781, lowerbound=1068567.916781, norm of subgrad 44.411683	 stepsize= 1.000000 
-dualbound = 1708548.526242, lowerbound=1067030.526242, norm of subgrad 1033.747806	dualbound = 1708548.526242, lowerbound=1067030.526242, norm of subgrad 44.267476	 stepsize= 1.000000 
-dualbound = 1708913.737072, lowerbound=1067819.737072, norm of subgrad 1034.117855	dualbound = 1708913.737072, lowerbound=1067819.737072, norm of subgrad 44.104544	 stepsize= 1.000000 
-dualbound = 1709285.778807, lowerbound=1068838.778807, norm of subgrad 1034.582901	dualbound = 1709285.778807, lowerbound=1068838.778807, norm of subgrad 43.532077	 stepsize= 1.000000 
-dualbound = 1709628.418631, lowerbound=1068885.418631, norm of subgrad 1034.642169	dualbound = 1709628.418631, lowerbound=1068885.418631, norm of subgrad 44.064042	 stepsize= 1.000000 
-dualbound = 1710001.576105, lowerbound=1065716.576105, norm of subgrad 1033.105307	dualbound = 1710001.576105, lowerbound=1065716.576105, norm of subgrad 44.307533	 stepsize= 1.000000 
-dualbound = 1710322.246018, lowerbound=1068569.246018, norm of subgrad 1034.530930	dualbound = 1710322.246018, lowerbound=1068569.246018, norm of subgrad 44.784706	 stepsize= 1.000000 
-dualbound = 1710673.949933, lowerbound=1068657.949933, norm of subgrad 1034.537070	dualbound = 1710673.949933, lowerbound=1068657.949933, norm of subgrad 44.279836	 stepsize= 1.000000 
-dualbound = 1711064.656526, lowerbound=1069590.656526, norm of subgrad 1034.970365	dualbound = 1711064.656526, lowerbound=1069590.656526, norm of subgrad 44.313729	 stepsize= 1.000000 
-dualbound = 1711426.166081, lowerbound=1066891.166081, norm of subgrad 1033.647022	dualbound = 1711426.166081, lowerbound=1066891.166081, norm of subgrad 43.548933	 stepsize= 1.000000 
-dualbound = 1711792.124059, lowerbound=1069677.124059, norm of subgrad 1035.002475	dualbound = 1711792.124059, lowerbound=1069677.124059, norm of subgrad 43.805913	 stepsize= 1.000000 
-dualbound = 1712134.017285, lowerbound=1068912.017285, norm of subgrad 1034.621678	dualbound = 1712134.017285, lowerbound=1068912.017285, norm of subgrad 43.265381	 stepsize= 1.000000 
-dualbound = 1712513.463529, lowerbound=1066168.463529, norm of subgrad 1033.321084	dualbound = 1712513.463529, lowerbound=1066168.463529, norm of subgrad 44.310792	 stepsize= 1.000000 
-dualbound = 1712825.127413, lowerbound=1067955.127413, norm of subgrad 1034.203136	dualbound = 1712825.127413, lowerbound=1067955.127413, norm of subgrad 43.962073	 stepsize= 1.000000 
-dualbound = 1713188.947979, lowerbound=1069241.947979, norm of subgrad 1034.784977	dualbound = 1713188.947979, lowerbound=1069241.947979, norm of subgrad 43.609868	 stepsize= 1.000000 
-dualbound = 1713588.207847, lowerbound=1072165.207847, norm of subgrad 1036.197475	dualbound = 1713588.207847, lowerbound=1072165.207847, norm of subgrad 44.037028	 stepsize= 1.000000 
-dualbound = 1713911.076146, lowerbound=1065034.076146, norm of subgrad 1032.779297	dualbound = 1713911.076146, lowerbound=1065034.076146, norm of subgrad 43.839118	 stepsize= 1.000000 
-dualbound = 1714273.301984, lowerbound=1069714.301984, norm of subgrad 1035.033962	dualbound = 1714273.301984, lowerbound=1069714.301984, norm of subgrad 44.082035	 stepsize= 1.000000 
-dualbound = 1714631.546962, lowerbound=1070796.546962, norm of subgrad 1035.569190	dualbound = 1714631.546962, lowerbound=1070796.546962, norm of subgrad 44.331084	 stepsize= 1.000000 
-dualbound = 1714998.196894, lowerbound=1068467.196894, norm of subgrad 1034.453574	dualbound = 1714998.196894, lowerbound=1068467.196894, norm of subgrad 44.650307	 stepsize= 1.000000 
-dualbound = 1715333.013045, lowerbound=1067854.013045, norm of subgrad 1034.117504	dualbound = 1715333.013045, lowerbound=1067854.013045, norm of subgrad 43.356847	 stepsize= 1.000000 
-dualbound = 1715718.177401, lowerbound=1071045.177401, norm of subgrad 1035.695021	dualbound = 1715718.177401, lowerbound=1071045.177401, norm of subgrad 44.767894	 stepsize= 1.000000 
-dualbound = 1716058.610723, lowerbound=1065429.610723, norm of subgrad 1032.959637	dualbound = 1716058.610723, lowerbound=1065429.610723, norm of subgrad 43.777087	 stepsize= 1.000000 
-dualbound = 1716450.757491, lowerbound=1068266.757491, norm of subgrad 1034.332034	dualbound = 1716450.757491, lowerbound=1068266.757491, norm of subgrad 44.363800	 stepsize= 1.000000 
-dualbound = 1716743.356710, lowerbound=1071434.356710, norm of subgrad 1035.925845	dualbound = 1716743.356710, lowerbound=1071434.356710, norm of subgrad 44.728059	 stepsize= 1.000000 
-dualbound = 1717122.391229, lowerbound=1068002.391229, norm of subgrad 1034.213417	dualbound = 1717122.391229, lowerbound=1068002.391229, norm of subgrad 44.430108	 stepsize= 1.000000 
-dualbound = 1717479.914247, lowerbound=1069118.914247, norm of subgrad 1034.750653	dualbound = 1717479.914247, lowerbound=1069118.914247, norm of subgrad 44.130749	 stepsize= 1.000000 
-dualbound = 1717832.343204, lowerbound=1069890.343204, norm of subgrad 1035.125279	dualbound = 1717832.343204, lowerbound=1069890.343204, norm of subgrad 44.118352	 stepsize= 1.000000 
-dualbound = 1718210.988683, lowerbound=1069169.988683, norm of subgrad 1034.773400	dualbound = 1718210.988683, lowerbound=1069169.988683, norm of subgrad 44.324322	 stepsize= 1.000000 
-dualbound = 1718546.022973, lowerbound=1066393.022973, norm of subgrad 1033.434576	dualbound = 1718546.022973, lowerbound=1066393.022973, norm of subgrad 43.920773	 stepsize= 1.000000 
-dualbound = 1718911.903422, lowerbound=1069770.903422, norm of subgrad 1035.043914	dualbound = 1718911.903422, lowerbound=1069770.903422, norm of subgrad 43.713619	 stepsize= 1.000000 
-dualbound = 1719289.268829, lowerbound=1071552.268829, norm of subgrad 1035.924837	dualbound = 1719289.268829, lowerbound=1071552.268829, norm of subgrad 44.332442	 stepsize= 1.000000 
-dualbound = 1719625.955548, lowerbound=1067606.955548, norm of subgrad 1034.033827	dualbound = 1719625.955548, lowerbound=1067606.955548, norm of subgrad 44.223147	 stepsize= 1.000000 
-dualbound = 1719966.787517, lowerbound=1070767.787517, norm of subgrad 1035.537439	dualbound = 1719966.787517, lowerbound=1070767.787517, norm of subgrad 43.713064	 stepsize= 1.000000 
-dualbound = 1720348.678276, lowerbound=1065857.678276, norm of subgrad 1033.178919	dualbound = 1720348.678276, lowerbound=1065857.678276, norm of subgrad 44.529662	 stepsize= 1.000000 
-dualbound = 1720687.231596, lowerbound=1070763.231596, norm of subgrad 1035.507234	dualbound = 1720687.231596, lowerbound=1070763.231596, norm of subgrad 43.018058	 stepsize= 1.000000 
-dualbound = 1721075.281269, lowerbound=1066236.281269, norm of subgrad 1033.329706	dualbound = 1721075.281269, lowerbound=1066236.281269, norm of subgrad 43.841187	 stepsize= 1.000000 
-dualbound = 1721425.400065, lowerbound=1070346.400065, norm of subgrad 1035.321399	dualbound = 1721425.400065, lowerbound=1070346.400065, norm of subgrad 43.521475	 stepsize= 1.000000 
-dualbound = 1721756.627163, lowerbound=1070669.627163, norm of subgrad 1035.510805	dualbound = 1721756.627163, lowerbound=1070669.627163, norm of subgrad 44.093391	 stepsize= 1.000000 
-dualbound = 1722100.493859, lowerbound=1071180.493859, norm of subgrad 1035.743450	dualbound = 1722100.493859, lowerbound=1071180.493859, norm of subgrad 43.907479	 stepsize= 1.000000 
-dualbound = 1722478.460963, lowerbound=1068647.460963, norm of subgrad 1034.507352	dualbound = 1722478.460963, lowerbound=1068647.460963, norm of subgrad 43.999626	 stepsize= 1.000000 
-dualbound = 1722817.986267, lowerbound=1071036.986267, norm of subgrad 1035.653410	dualbound = 1722817.986267, lowerbound=1071036.986267, norm of subgrad 43.365024	 stepsize= 1.000000 
-dualbound = 1723167.473052, lowerbound=1070233.473052, norm of subgrad 1035.263480	dualbound = 1723167.473052, lowerbound=1070233.473052, norm of subgrad 43.433706	 stepsize= 1.000000 
-dualbound = 1723514.535209, lowerbound=1070143.535209, norm of subgrad 1035.276067	dualbound = 1723514.535209, lowerbound=1070143.535209, norm of subgrad 44.722054	 stepsize= 1.000000 
-dualbound = 1723861.267170, lowerbound=1069706.267170, norm of subgrad 1035.019453	dualbound = 1723861.267170, lowerbound=1069706.267170, norm of subgrad 43.654690	 stepsize= 1.000000 
-dualbound = 1724249.240803, lowerbound=1072858.240803, norm of subgrad 1036.545822	dualbound = 1724249.240803, lowerbound=1072858.240803, norm of subgrad 44.237695	 stepsize= 1.000000 
-dualbound = 1724565.176549, lowerbound=1068493.176549, norm of subgrad 1034.467581	dualbound = 1724565.176549, lowerbound=1068493.176549, norm of subgrad 44.112762	 stepsize= 1.000000 
-dualbound = 1724920.541752, lowerbound=1074024.541752, norm of subgrad 1037.091868	dualbound = 1724920.541752, lowerbound=1074024.541752, norm of subgrad 43.478330	 stepsize= 1.000000 
-dualbound = 1725290.022821, lowerbound=1066841.022821, norm of subgrad 1033.681297	dualbound = 1725290.022821, lowerbound=1066841.022821, norm of subgrad 45.005345	 stepsize= 1.000000 
-dualbound = 1725601.435951, lowerbound=1070348.435951, norm of subgrad 1035.343632	dualbound = 1725601.435951, lowerbound=1070348.435951, norm of subgrad 43.582257	 stepsize= 1.000000 
-dualbound = 1725978.789279, lowerbound=1068485.789279, norm of subgrad 1034.421959	dualbound = 1725978.789279, lowerbound=1068485.789279, norm of subgrad 43.821836	 stepsize= 1.000000 
-dualbound = 1726330.571444, lowerbound=1070184.571444, norm of subgrad 1035.274153	dualbound = 1726330.571444, lowerbound=1070184.571444, norm of subgrad 44.269427	 stepsize= 1.000000 
-dualbound = 1726672.395781, lowerbound=1068664.395781, norm of subgrad 1034.528586	dualbound = 1726672.395781, lowerbound=1068664.395781, norm of subgrad 43.895607	 stepsize= 1.000000 
-dualbound = 1727031.217498, lowerbound=1073727.217498, norm of subgrad 1036.967800	dualbound = 1727031.217498, lowerbound=1073727.217498, norm of subgrad 43.975240	 stepsize= 1.000000 
-dualbound = 1727385.147231, lowerbound=1067802.147231, norm of subgrad 1034.112734	dualbound = 1727385.147231, lowerbound=1067802.147231, norm of subgrad 44.055984	 stepsize= 1.000000 
-dualbound = 1727738.206264, lowerbound=1074715.206264, norm of subgrad 1037.430097	dualbound = 1727738.206264, lowerbound=1074715.206264, norm of subgrad 43.578194	 stepsize= 1.000000 
-dualbound = 1728096.507698, lowerbound=1066676.507698, norm of subgrad 1033.539311	dualbound = 1728096.507698, lowerbound=1066676.507698, norm of subgrad 43.420058	 stepsize= 1.000000 
-dualbound = 1728487.721638, lowerbound=1069199.721638, norm of subgrad 1034.779069	dualbound = 1728487.721638, lowerbound=1069199.721638, norm of subgrad 44.263009	 stepsize= 1.000000 
-dualbound = 1728780.775799, lowerbound=1068481.775799, norm of subgrad 1034.433070	dualbound = 1728780.775799, lowerbound=1068481.775799, norm of subgrad 43.163111	 stepsize= 1.000000 
-dualbound = 1729161.967981, lowerbound=1072063.967981, norm of subgrad 1036.124977	dualbound = 1729161.967981, lowerbound=1072063.967981, norm of subgrad 43.268836	 stepsize= 1.000000 
-dualbound = 1729505.392250, lowerbound=1069320.392250, norm of subgrad 1034.875061	dualbound = 1729505.392250, lowerbound=1069320.392250, norm of subgrad 44.602963	 stepsize= 1.000000 
-dualbound = 1729811.228584, lowerbound=1072011.228584, norm of subgrad 1036.173358	dualbound = 1729811.228584, lowerbound=1072011.228584, norm of subgrad 44.156951	 stepsize= 1.000000 
-dualbound = 1730192.544633, lowerbound=1072675.544633, norm of subgrad 1036.479399	dualbound = 1730192.544633, lowerbound=1072675.544633, norm of subgrad 44.668961	 stepsize= 1.000000 
-dualbound = 1730538.029619, lowerbound=1070224.029619, norm of subgrad 1035.270993	dualbound = 1730538.029619, lowerbound=1070224.029619, norm of subgrad 43.674764	 stepsize= 1.000000 
-dualbound = 1730903.086806, lowerbound=1067864.086806, norm of subgrad 1034.143649	dualbound = 1730903.086806, lowerbound=1067864.086806, norm of subgrad 44.204719	 stepsize= 1.000000 
-dualbound = 1731234.691201, lowerbound=1070031.691201, norm of subgrad 1035.191621	dualbound = 1731234.691201, lowerbound=1070031.691201, norm of subgrad 43.836108	 stepsize= 1.000000 
-dualbound = 1731587.871336, lowerbound=1071563.871336, norm of subgrad 1035.930920	dualbound = 1731587.871336, lowerbound=1071563.871336, norm of subgrad 44.070173	 stepsize= 1.000000 
-dualbound = 1731967.308019, lowerbound=1073006.308019, norm of subgrad 1036.630748	dualbound = 1731967.308019, lowerbound=1073006.308019, norm of subgrad 44.457133	 stepsize= 1.000000 
-dualbound = 1732282.657953, lowerbound=1072541.657953, norm of subgrad 1036.387311	dualbound = 1732282.657953, lowerbound=1072541.657953, norm of subgrad 43.270659	 stepsize= 1.000000 
-dualbound = 1732660.709909, lowerbound=1068111.709909, norm of subgrad 1034.226141	dualbound = 1732660.709909, lowerbound=1068111.709909, norm of subgrad 43.474728	 stepsize= 1.000000 
-dualbound = 1733017.449303, lowerbound=1068961.449303, norm of subgrad 1034.657648	dualbound = 1733017.449303, lowerbound=1068961.449303, norm of subgrad 43.723442	 stepsize= 1.000000 
-dualbound = 1733338.351436, lowerbound=1071903.351436, norm of subgrad 1036.118406	dualbound = 1733338.351436, lowerbound=1071903.351436, norm of subgrad 44.259486	 stepsize= 1.000000 
-dualbound = 1733698.199418, lowerbound=1069239.199418, norm of subgrad 1034.798144	dualbound = 1733698.199418, lowerbound=1069239.199418, norm of subgrad 43.907266	 stepsize= 1.000000 
-dualbound = 1734023.580116, lowerbound=1073164.580116, norm of subgrad 1036.703709	dualbound = 1734023.580116, lowerbound=1073164.580116, norm of subgrad 43.765063	 stepsize= 1.000000 
-dualbound = 1734398.410770, lowerbound=1068548.410770, norm of subgrad 1034.470111	dualbound = 1734398.410770, lowerbound=1068548.410770, norm of subgrad 44.213467	 stepsize= 1.000000 
-dualbound = 1734720.615446, lowerbound=1073706.615446, norm of subgrad 1036.956901	dualbound = 1734720.615446, lowerbound=1073706.615446, norm of subgrad 43.533949	 stepsize= 1.000000 
-dualbound = 1735125.835461, lowerbound=1068230.835461, norm of subgrad 1034.276479	dualbound = 1735125.835461, lowerbound=1068230.835461, norm of subgrad 43.614447	 stepsize= 1.000000 
-dualbound = 1735441.340203, lowerbound=1071412.340203, norm of subgrad 1035.865503	dualbound = 1735441.340203, lowerbound=1071412.340203, norm of subgrad 43.823564	 stepsize= 1.000000 
-dualbound = 1735784.193887, lowerbound=1070093.193887, norm of subgrad 1035.235816	dualbound = 1735784.193887, lowerbound=1070093.193887, norm of subgrad 44.304105	 stepsize= 1.000000 
-dualbound = 1736138.837352, lowerbound=1071875.837352, norm of subgrad 1036.058800	dualbound = 1736138.837352, lowerbound=1071875.837352, norm of subgrad 43.550470	 stepsize= 1.000000 
-dualbound = 1736484.041066, lowerbound=1070083.041066, norm of subgrad 1035.214007	dualbound = 1736484.041066, lowerbound=1070083.041066, norm of subgrad 43.934084	 stepsize= 1.000000 
-dualbound = 1736814.770431, lowerbound=1071293.770431, norm of subgrad 1035.825164	dualbound = 1736814.770431, lowerbound=1071293.770431, norm of subgrad 44.392898	 stepsize= 1.000000 
-dualbound = 1737169.352934, lowerbound=1074819.352934, norm of subgrad 1037.533784	dualbound = 1737169.352934, lowerbound=1074819.352934, norm of subgrad 44.850669	 stepsize= 1.000000 
-dualbound = 1737496.640265, lowerbound=1071399.640265, norm of subgrad 1035.838617	dualbound = 1737496.640265, lowerbound=1071399.640265, norm of subgrad 43.465933	 stepsize= 1.000000 
-dualbound = 1737914.155834, lowerbound=1068823.155834, norm of subgrad 1034.592266	dualbound = 1737914.155834, lowerbound=1068823.155834, norm of subgrad 44.446772	 stepsize= 1.000000 
-dualbound = 1738219.826539, lowerbound=1071190.826539, norm of subgrad 1035.706438	dualbound = 1738219.826539, lowerbound=1071190.826539, norm of subgrad 42.457870	 stepsize= 1.000000 
-dualbound = 1738605.307082, lowerbound=1069889.307082, norm of subgrad 1035.079855	dualbound = 1738605.307082, lowerbound=1069889.307082, norm of subgrad 43.433634	 stepsize= 1.000000 
-dualbound = 1738933.105830, lowerbound=1073276.105830, norm of subgrad 1036.764248	dualbound = 1738933.105830, lowerbound=1073276.105830, norm of subgrad 43.952233	 stepsize= 1.000000 
-dualbound = 1739249.849391, lowerbound=1073658.849391, norm of subgrad 1036.978712	dualbound = 1739249.849391, lowerbound=1073658.849391, norm of subgrad 44.528009	 stepsize= 1.000000 
-dualbound = 1739617.312782, lowerbound=1070447.312782, norm of subgrad 1035.394762	dualbound = 1739617.312782, lowerbound=1070447.312782, norm of subgrad 44.299700	 stepsize= 1.000000 
-dualbound = 1739975.108038, lowerbound=1073109.108038, norm of subgrad 1036.658144	dualbound = 1739975.108038, lowerbound=1073109.108038, norm of subgrad 43.689761	 stepsize= 1.000000 
-dualbound = 1740314.248985, lowerbound=1069659.248985, norm of subgrad 1034.997705	dualbound = 1740314.248985, lowerbound=1069659.248985, norm of subgrad 43.590606	 stepsize= 1.000000 
-dualbound = 1740679.963259, lowerbound=1069618.963259, norm of subgrad 1034.939594	dualbound = 1740679.963259, lowerbound=1069618.963259, norm of subgrad 42.973414	 stepsize= 1.000000 
-dualbound = 1741048.688237, lowerbound=1076042.688237, norm of subgrad 1038.099074	dualbound = 1741048.688237, lowerbound=1076042.688237, norm of subgrad 44.449128	 stepsize= 1.000000 
-dualbound = 1741333.987281, lowerbound=1067420.987281, norm of subgrad 1033.965661	dualbound = 1741333.987281, lowerbound=1067420.987281, norm of subgrad 44.150867	 stepsize= 1.000000 
-dualbound = 1741685.245094, lowerbound=1074877.245094, norm of subgrad 1037.541443	dualbound = 1741685.245094, lowerbound=1074877.245094, norm of subgrad 44.342506	 stepsize= 1.000000 
-dualbound = 1742048.414670, lowerbound=1070087.414670, norm of subgrad 1035.214188	dualbound = 1742048.414670, lowerbound=1070087.414670, norm of subgrad 44.092738	 stepsize= 1.000000 
-dualbound = 1742409.146523, lowerbound=1073606.146523, norm of subgrad 1036.915689	dualbound = 1742409.146523, lowerbound=1073606.146523, norm of subgrad 44.144443	 stepsize= 1.000000 
-dualbound = 1742741.867795, lowerbound=1068806.867795, norm of subgrad 1034.618223	dualbound = 1742741.867795, lowerbound=1068806.867795, norm of subgrad 44.280032	 stepsize= 1.000000 
-dualbound = 1743084.521235, lowerbound=1074822.521235, norm of subgrad 1037.481817	dualbound = 1743084.521235, lowerbound=1074822.521235, norm of subgrad 43.458641	 stepsize= 1.000000 
-dualbound = 1743470.995748, lowerbound=1069168.995748, norm of subgrad 1034.753109	dualbound = 1743470.995748, lowerbound=1069168.995748, norm of subgrad 43.948544	 stepsize= 1.000000 
-dualbound = 1743775.752578, lowerbound=1073359.752578, norm of subgrad 1036.838344	dualbound = 1743775.752578, lowerbound=1073359.752578, norm of subgrad 44.483220	 stepsize= 1.000000 
-dualbound = 1744121.973934, lowerbound=1071749.973934, norm of subgrad 1036.021223	dualbound = 1744121.973934, lowerbound=1071749.973934, norm of subgrad 44.002515	 stepsize= 1.000000 
-dualbound = 1744485.245502, lowerbound=1075918.245502, norm of subgrad 1038.047323	dualbound = 1744485.245502, lowerbound=1075918.245502, norm of subgrad 44.578824	 stepsize= 1.000000 
-dualbound = 1744822.193760, lowerbound=1069595.193760, norm of subgrad 1034.969175	dualbound = 1744822.193760, lowerbound=1069595.193760, norm of subgrad 43.622795	 stepsize= 1.000000 
-dualbound = 1745181.197883, lowerbound=1073149.197883, norm of subgrad 1036.663011	dualbound = 1745181.197883, lowerbound=1073149.197883, norm of subgrad 43.359014	 stepsize= 1.000000 
-dualbound = 1745525.292133, lowerbound=1069478.292133, norm of subgrad 1034.899170	dualbound = 1745525.292133, lowerbound=1069478.292133, norm of subgrad 43.383110	 stepsize= 1.000000 
-dualbound = 1745863.408019, lowerbound=1073873.408018, norm of subgrad 1037.032983	dualbound = 1745863.408019, lowerbound=1073873.408018, norm of subgrad 43.613254	 stepsize= 1.000000 
-dualbound = 1746210.774254, lowerbound=1069721.774254, norm of subgrad 1035.020664	dualbound = 1746210.774254, lowerbound=1069721.774254, norm of subgrad 43.512828	 stepsize= 1.000000 
-dualbound = 1746576.078281, lowerbound=1072324.078281, norm of subgrad 1036.277028	dualbound = 1746576.078281, lowerbound=1072324.078281, norm of subgrad 43.718463	 stepsize= 1.000000 
-dualbound = 1746900.866955, lowerbound=1069891.866955, norm of subgrad 1035.113456	dualbound = 1746900.866955, lowerbound=1069891.866955, norm of subgrad 43.506191	 stepsize= 1.000000 
-dualbound = 1747253.101459, lowerbound=1077697.101459, norm of subgrad 1038.904279	dualbound = 1747253.101459, lowerbound=1077697.101459, norm of subgrad 44.466105	 stepsize= 1.000000 
-dualbound = 1747563.814837, lowerbound=1070034.814837, norm of subgrad 1035.192646	dualbound = 1747563.814837, lowerbound=1070034.814837, norm of subgrad 43.585702	 stepsize= 1.000000 
-dualbound = 1747938.244998, lowerbound=1074116.244998, norm of subgrad 1037.123062	dualbound = 1747938.244998, lowerbound=1074116.244998, norm of subgrad 43.386981	 stepsize= 1.000000 
-dualbound = 1748302.677859, lowerbound=1073072.677859, norm of subgrad 1036.652149	dualbound = 1748302.677859, lowerbound=1073072.677859, norm of subgrad 44.038993	 stepsize= 1.000000 
-dualbound = 1748635.920746, lowerbound=1072648.920746, norm of subgrad 1036.428927	dualbound = 1748635.920746, lowerbound=1072648.920746, norm of subgrad 43.234742	 stepsize= 1.000000 
-dualbound = 1748994.139313, lowerbound=1072880.139313, norm of subgrad 1036.560726	dualbound = 1748994.139313, lowerbound=1072880.139313, norm of subgrad 44.002484	 stepsize= 1.000000 
-dualbound = 1749306.921337, lowerbound=1072787.921337, norm of subgrad 1036.533608	dualbound = 1749306.921337, lowerbound=1072787.921337, norm of subgrad 43.895125	 stepsize= 1.000000 
-dualbound = 1749667.454597, lowerbound=1073514.454597, norm of subgrad 1036.857972	dualbound = 1749667.454597, lowerbound=1073514.454597, norm of subgrad 43.823889	 stepsize= 1.000000 
-dualbound = 1750002.746998, lowerbound=1071779.746998, norm of subgrad 1036.002774	dualbound = 1750002.746998, lowerbound=1071779.746998, norm of subgrad 43.096315	 stepsize= 1.000000 
-dualbound = 1750373.216719, lowerbound=1072817.216719, norm of subgrad 1036.495160	dualbound = 1750373.216719, lowerbound=1072817.216719, norm of subgrad 43.306694	 stepsize= 1.000000 
-dualbound = 1750702.635300, lowerbound=1071736.635300, norm of subgrad 1035.995480	dualbound = 1750702.635300, lowerbound=1071736.635300, norm of subgrad 43.352262	 stepsize= 1.000000 
-dualbound = 1751036.073539, lowerbound=1074627.073539, norm of subgrad 1037.402079	dualbound = 1751036.073539, lowerbound=1074627.073539, norm of subgrad 43.697119	 stepsize= 1.000000 
-dualbound = 1751386.746682, lowerbound=1071700.746682, norm of subgrad 1035.967541	dualbound = 1751386.746682, lowerbound=1071700.746682, norm of subgrad 43.343663	 stepsize= 1.000000 
-dualbound = 1751741.522420, lowerbound=1073314.522420, norm of subgrad 1036.751910	dualbound = 1751741.522420, lowerbound=1073314.522420, norm of subgrad 43.529022	 stepsize= 1.000000 
-dualbound = 1752084.648639, lowerbound=1072366.648639, norm of subgrad 1036.293225	dualbound = 1752084.648639, lowerbound=1072366.648639, norm of subgrad 43.360422	 stepsize= 1.000000 
-dualbound = 1752391.139312, lowerbound=1072961.139312, norm of subgrad 1036.622467	dualbound = 1752391.139312, lowerbound=1072961.139312, norm of subgrad 43.948728	 stepsize= 1.000000 
-dualbound = 1752742.108501, lowerbound=1071553.108501, norm of subgrad 1035.920899	dualbound = 1752742.108501, lowerbound=1071553.108501, norm of subgrad 43.931415	 stepsize= 1.000000 
-dualbound = 1753105.038395, lowerbound=1072501.038395, norm of subgrad 1036.383152	dualbound = 1753105.038395, lowerbound=1072501.038395, norm of subgrad 44.180651	 stepsize= 1.000000 
-dualbound = 1753449.838202, lowerbound=1074617.838202, norm of subgrad 1037.361961	dualbound = 1753449.838202, lowerbound=1074617.838202, norm of subgrad 42.974409	 stepsize= 1.000000 
-dualbound = 1753808.488107, lowerbound=1070883.488107, norm of subgrad 1035.571576	dualbound = 1753808.488107, lowerbound=1070883.488107, norm of subgrad 43.401036	 stepsize= 1.000000 
-dualbound = 1754145.353588, lowerbound=1073027.353588, norm of subgrad 1036.624500	dualbound = 1754145.353588, lowerbound=1073027.353588, norm of subgrad 43.587446	 stepsize= 1.000000 
-dualbound = 1754471.559039, lowerbound=1075151.559039, norm of subgrad 1037.646163	dualbound = 1754471.559039, lowerbound=1075151.559039, norm of subgrad 43.407435	 stepsize= 1.000000 
-dualbound = 1754830.702390, lowerbound=1071020.702390, norm of subgrad 1035.688033	dualbound = 1754830.702390, lowerbound=1071020.702390, norm of subgrad 44.588601	 stepsize= 1.000000 
-dualbound = 1755156.815231, lowerbound=1074361.815231, norm of subgrad 1037.302663	dualbound = 1755156.815231, lowerbound=1074361.815231, norm of subgrad 44.284454	 stepsize= 1.000000 
-dualbound = 1755490.846922, lowerbound=1074156.846922, norm of subgrad 1037.168669	dualbound = 1755490.846922, lowerbound=1074156.846922, norm of subgrad 43.543446	 stepsize= 1.000000 
-dualbound = 1755852.895446, lowerbound=1071803.895446, norm of subgrad 1036.018772	dualbound = 1755852.895446, lowerbound=1071803.895446, norm of subgrad 43.509177	 stepsize= 1.000000 
-dualbound = 1756217.488227, lowerbound=1071420.488227, norm of subgrad 1035.846749	dualbound = 1756217.488227, lowerbound=1071420.488227, norm of subgrad 43.847381	 stepsize= 1.000000 
-dualbound = 1756528.128260, lowerbound=1075262.128260, norm of subgrad 1037.731241	dualbound = 1756528.128260, lowerbound=1075262.128260, norm of subgrad 43.984543	 stepsize= 1.000000 
-dualbound = 1756879.125621, lowerbound=1071843.125621, norm of subgrad 1036.084034	dualbound = 1756879.125621, lowerbound=1071843.125621, norm of subgrad 44.474682	 stepsize= 1.000000 
-dualbound = 1757216.062772, lowerbound=1073664.062772, norm of subgrad 1036.957117	dualbound = 1757216.062772, lowerbound=1073664.062772, norm of subgrad 44.192049	 stepsize= 1.000000 
-dualbound = 1757573.064610, lowerbound=1073134.064610, norm of subgrad 1036.660053	dualbound = 1757573.064610, lowerbound=1073134.064610, norm of subgrad 43.439634	 stepsize= 1.000000 
-dualbound = 1757924.763171, lowerbound=1072258.763171, norm of subgrad 1036.298588	dualbound = 1757924.763171, lowerbound=1072258.763171, norm of subgrad 44.807349	 stepsize= 1.000000 
-dualbound = 1758242.107741, lowerbound=1074405.107741, norm of subgrad 1037.266652	dualbound = 1758242.107741, lowerbound=1074405.107741, norm of subgrad 42.829249	 stepsize= 1.000000 
-dualbound = 1758624.650289, lowerbound=1074200.650289, norm of subgrad 1037.187375	dualbound = 1758624.650289, lowerbound=1074200.650289, norm of subgrad 44.040238	 stepsize= 1.000000 
-dualbound = 1758956.046182, lowerbound=1069858.046182, norm of subgrad 1035.123686	dualbound = 1758956.046182, lowerbound=1069858.046182, norm of subgrad 44.208550	 stepsize= 1.000000 
-dualbound = 1759286.582130, lowerbound=1075242.582130, norm of subgrad 1037.697732	dualbound = 1759286.582130, lowerbound=1075242.582130, norm of subgrad 43.640989	 stepsize= 1.000000 
-dualbound = 1759633.552148, lowerbound=1073156.552148, norm of subgrad 1036.684886	dualbound = 1759633.552148, lowerbound=1073156.552148, norm of subgrad 43.657417	 stepsize= 1.000000 
-dualbound = 1759987.804025, lowerbound=1076086.804025, norm of subgrad 1038.103465	dualbound = 1759987.804025, lowerbound=1076086.804025, norm of subgrad 43.889086	 stepsize= 1.000000 
-dualbound = 1760315.151123, lowerbound=1071128.151123, norm of subgrad 1035.717699	dualbound = 1760315.151123, lowerbound=1071128.151123, norm of subgrad 43.707518	 stepsize= 1.000000 
-dualbound = 1760640.989188, lowerbound=1072259.989188, norm of subgrad 1036.252377	dualbound = 1760640.989188, lowerbound=1072259.989188, norm of subgrad 43.414722	 stepsize= 1.000000 
-dualbound = 1761016.825745, lowerbound=1072569.825745, norm of subgrad 1036.406689	dualbound = 1761016.825745, lowerbound=1072569.825745, norm of subgrad 44.100301	 stepsize= 1.000000 
-dualbound = 1761338.154083, lowerbound=1074997.154083, norm of subgrad 1037.647413	dualbound = 1761338.154083, lowerbound=1074997.154083, norm of subgrad 45.125695	 stepsize= 1.000000 
-dualbound = 1761661.017309, lowerbound=1071311.017309, norm of subgrad 1035.819973	dualbound = 1761661.017309, lowerbound=1071311.017309, norm of subgrad 43.987080	 stepsize= 1.000000 
-dualbound = 1762030.549097, lowerbound=1073471.549097, norm of subgrad 1036.829566	dualbound = 1762030.549097, lowerbound=1073471.549097, norm of subgrad 43.743934	 stepsize= 1.000000 
-dualbound = 1762395.129398, lowerbound=1071573.129398, norm of subgrad 1035.899671	dualbound = 1762395.129398, lowerbound=1071573.129398, norm of subgrad 43.354127	 stepsize= 1.000000 
-dualbound = 1762728.825719, lowerbound=1076699.825719, norm of subgrad 1038.376534	dualbound = 1762728.825719, lowerbound=1076699.825719, norm of subgrad 43.124196	 stepsize= 1.000000 
-dualbound = 1763068.348663, lowerbound=1072771.348663, norm of subgrad 1036.501495	dualbound = 1763068.348663, lowerbound=1072771.348663, norm of subgrad 43.629382	 stepsize= 1.000000 
-dualbound = 1763406.914081, lowerbound=1074837.914081, norm of subgrad 1037.488272	dualbound = 1763406.914081, lowerbound=1074837.914081, norm of subgrad 43.388540	 stepsize= 1.000000 
-dualbound = 1763735.521446, lowerbound=1072807.521446, norm of subgrad 1036.524733	dualbound = 1763735.521446, lowerbound=1072807.521446, norm of subgrad 43.641808	 stepsize= 1.000000 
-dualbound = 1764093.123049, lowerbound=1078305.123049, norm of subgrad 1039.162703	dualbound = 1764093.123049, lowerbound=1078305.123049, norm of subgrad 43.721866	 stepsize= 1.000000 
-dualbound = 1764446.945428, lowerbound=1070000.945428, norm of subgrad 1035.159382	dualbound = 1764446.945428, lowerbound=1070000.945428, norm of subgrad 43.678626	 stepsize= 1.000000 
-dualbound = 1764759.856669, lowerbound=1076092.856669, norm of subgrad 1038.119385	dualbound = 1764759.856669, lowerbound=1076092.856669, norm of subgrad 43.725407	 stepsize= 1.000000 
-dualbound = 1765112.418119, lowerbound=1075561.418119, norm of subgrad 1037.842193	dualbound = 1765112.418119, lowerbound=1075561.418119, norm of subgrad 43.675639	 stepsize= 1.000000 
-dualbound = 1765466.893628, lowerbound=1072822.893628, norm of subgrad 1036.493075	dualbound = 1765466.893628, lowerbound=1072822.893628, norm of subgrad 43.005529	 stepsize= 1.000000 
-dualbound = 1765811.727027, lowerbound=1074058.727027, norm of subgrad 1037.088582	dualbound = 1765811.727027, lowerbound=1074058.727027, norm of subgrad 42.881621	 stepsize= 1.000000 
-dualbound = 1766134.027257, lowerbound=1074186.027257, norm of subgrad 1037.223229	dualbound = 1766134.027257, lowerbound=1074186.027257, norm of subgrad 44.365530	 stepsize= 1.000000 
-dualbound = 1766442.515633, lowerbound=1074785.515633, norm of subgrad 1037.463501	dualbound = 1766442.515633, lowerbound=1074785.515633, norm of subgrad 43.052159	 stepsize= 1.000000 
-dualbound = 1766831.732232, lowerbound=1074823.732232, norm of subgrad 1037.455412	dualbound = 1766831.732232, lowerbound=1074823.732232, norm of subgrad 43.349932	 stepsize= 1.000000 
-dualbound = 1767157.477669, lowerbound=1073696.477669, norm of subgrad 1036.947191	dualbound = 1767157.477669, lowerbound=1073696.477669, norm of subgrad 43.459699	 stepsize= 1.000000 
-dualbound = 1767487.679848, lowerbound=1074555.679848, norm of subgrad 1037.372006	dualbound = 1767487.679848, lowerbound=1074555.679848, norm of subgrad 43.763023	 stepsize= 1.000000 
-dualbound = 1767807.710505, lowerbound=1076199.710505, norm of subgrad 1038.141469	dualbound = 1767807.710505, lowerbound=1076199.710505, norm of subgrad 43.104880	 stepsize= 1.000000 
-dualbound = 1768179.834550, lowerbound=1071106.834550, norm of subgrad 1035.678442	dualbound = 1768179.834550, lowerbound=1071106.834550, norm of subgrad 43.533022	 stepsize= 1.000000 
-dualbound = 1768511.623989, lowerbound=1076241.623989, norm of subgrad 1038.185737	dualbound = 1768511.623989, lowerbound=1076241.623989, norm of subgrad 43.815402	 stepsize= 1.000000 
-dualbound = 1768843.447689, lowerbound=1075433.447689, norm of subgrad 1037.768976	dualbound = 1768843.447689, lowerbound=1075433.447689, norm of subgrad 43.160441	 stepsize= 1.000000 
-dualbound = 1769188.293448, lowerbound=1077591.293448, norm of subgrad 1038.851911	dualbound = 1769188.293448, lowerbound=1077591.293448, norm of subgrad 44.349135	 stepsize= 1.000000 
-dualbound = 1769496.260865, lowerbound=1073686.260865, norm of subgrad 1036.948533	dualbound = 1769496.260865, lowerbound=1073686.260865, norm of subgrad 43.404693	 stepsize= 1.000000 
-dualbound = 1769870.717360, lowerbound=1075970.717360, norm of subgrad 1038.041289	dualbound = 1769870.717360, lowerbound=1075970.717360, norm of subgrad 43.971087	 stepsize= 1.000000 
-dualbound = 1770168.708764, lowerbound=1074634.708764, norm of subgrad 1037.390336	dualbound = 1770168.708764, lowerbound=1074634.708764, norm of subgrad 42.918427	 stepsize= 1.000000 
-dualbound = 1770537.523367, lowerbound=1077491.523367, norm of subgrad 1038.748056	dualbound = 1770537.523367, lowerbound=1077491.523367, norm of subgrad 43.299129	 stepsize= 1.000000 
-dualbound = 1770859.128564, lowerbound=1074617.128564, norm of subgrad 1037.368849	dualbound = 1770859.128564, lowerbound=1074617.128564, norm of subgrad 42.878960	 stepsize= 1.000000 
-dualbound = 1771191.894273, lowerbound=1075527.894273, norm of subgrad 1037.853985	dualbound = 1771191.894273, lowerbound=1075527.894273, norm of subgrad 44.110834	 stepsize= 1.000000 
-dualbound = 1771504.200827, lowerbound=1076262.200827, norm of subgrad 1038.224061	dualbound = 1771504.200827, lowerbound=1076262.200827, norm of subgrad 44.264055	 stepsize= 1.000000 
-dualbound = 1771842.769865, lowerbound=1072550.769865, norm of subgrad 1036.394119	dualbound = 1771842.769865, lowerbound=1072550.769865, norm of subgrad 43.595516	 stepsize= 1.000000 
-dualbound = 1772209.265915, lowerbound=1077318.265915, norm of subgrad 1038.680059	dualbound = 1772209.265915, lowerbound=1077318.265915, norm of subgrad 43.640532	 stepsize= 1.000000 
-dualbound = 1772531.833628, lowerbound=1078950.833628, norm of subgrad 1039.465167	dualbound = 1772531.833628, lowerbound=1078950.833628, norm of subgrad 43.122705	 stepsize= 1.000000 
-dualbound = 1772873.788690, lowerbound=1070710.788690, norm of subgrad 1035.546131	dualbound = 1772873.788690, lowerbound=1070710.788690, norm of subgrad 44.575274	 stepsize= 1.000000 
-dualbound = 1773188.912528, lowerbound=1075910.912528, norm of subgrad 1038.052461	dualbound = 1773188.912528, lowerbound=1075910.912528, norm of subgrad 44.239392	 stepsize= 1.000000 
-dualbound = 1773512.346969, lowerbound=1073408.346969, norm of subgrad 1036.820306	dualbound = 1773512.346969, lowerbound=1073408.346969, norm of subgrad 43.719955	 stepsize= 1.000000 
-dualbound = 1773913.982860, lowerbound=1077101.982860, norm of subgrad 1038.551387	dualbound = 1773913.982860, lowerbound=1077101.982860, norm of subgrad 43.458439	 stepsize= 1.000000 
-dualbound = 1774238.542570, lowerbound=1072356.542570, norm of subgrad 1036.303306	dualbound = 1774238.542570, lowerbound=1072356.542570, norm of subgrad 43.503560	 stepsize= 1.000000 
-dualbound = 1774539.128568, lowerbound=1077660.128568, norm of subgrad 1038.884079	dualbound = 1774539.128568, lowerbound=1077660.128568, norm of subgrad 43.824491	 stepsize= 1.000000 
-dualbound = 1774881.161478, lowerbound=1074591.161477, norm of subgrad 1037.414171	dualbound = 1774881.161478, lowerbound=1074591.161477, norm of subgrad 44.486323	 stepsize= 1.000000 
-dualbound = 1775198.858882, lowerbound=1079232.858882, norm of subgrad 1039.638331	dualbound = 1775198.858882, lowerbound=1079232.858882, norm of subgrad 43.962454	 stepsize= 1.000000 
-dualbound = 1775560.651165, lowerbound=1073436.651165, norm of subgrad 1036.788624	dualbound = 1775560.651165, lowerbound=1073436.651165, norm of subgrad 43.078908	 stepsize= 1.000000 
-dualbound = 1775917.618963, lowerbound=1075595.618963, norm of subgrad 1037.819647	dualbound = 1775917.618963, lowerbound=1075595.618963, norm of subgrad 42.789810	 stepsize= 1.000000 
-dualbound = 1776259.334434, lowerbound=1074113.334434, norm of subgrad 1037.123105	dualbound = 1776259.334434, lowerbound=1074113.334434, norm of subgrad 43.043181	 stepsize= 1.000000 
-dualbound = 1776573.035114, lowerbound=1075860.035114, norm of subgrad 1037.964853	dualbound = 1776573.035114, lowerbound=1075860.035114, norm of subgrad 42.716515	 stepsize= 1.000000 
-dualbound = 1776896.514884, lowerbound=1074026.514884, norm of subgrad 1037.146815	dualbound = 1776896.514884, lowerbound=1074026.514884, norm of subgrad 44.390086	 stepsize= 1.000000 
-dualbound = 1777215.261518, lowerbound=1076483.261518, norm of subgrad 1038.309810	dualbound = 1777215.261518, lowerbound=1076483.261518, norm of subgrad 43.849135	 stepsize= 1.000000 
-dualbound = 1777560.276569, lowerbound=1073258.276569, norm of subgrad 1036.748415	dualbound = 1777560.276569, lowerbound=1073258.276569, norm of subgrad 43.977438	 stepsize= 1.000000 
-dualbound = 1777904.173293, lowerbound=1078812.173293, norm of subgrad 1039.406645	dualbound = 1777904.173293, lowerbound=1078812.173293, norm of subgrad 43.564857	 stepsize= 1.000000 
-dualbound = 1778259.569614, lowerbound=1075656.569614, norm of subgrad 1037.882252	dualbound = 1778259.569614, lowerbound=1075656.569614, norm of subgrad 43.570590	 stepsize= 1.000000 
-dualbound = 1778582.899287, lowerbound=1076827.899287, norm of subgrad 1038.431943	dualbound = 1778582.899287, lowerbound=1076827.899287, norm of subgrad 42.852417	 stepsize= 1.000000 
-dualbound = 1778934.684905, lowerbound=1074105.684905, norm of subgrad 1037.138701	dualbound = 1778934.684905, lowerbound=1074105.684905, norm of subgrad 43.620931	 stepsize= 1.000000 
-dualbound = 1779256.879230, lowerbound=1075316.879230, norm of subgrad 1037.707993	dualbound = 1779256.879230, lowerbound=1075316.879230, norm of subgrad 42.932439	 stepsize= 1.000000 
-dualbound = 1779595.705672, lowerbound=1074767.705672, norm of subgrad 1037.444796	dualbound = 1779595.705672, lowerbound=1074767.705672, norm of subgrad 43.160473	 stepsize= 1.000000 
-dualbound = 1779940.392940, lowerbound=1080348.392940, norm of subgrad 1040.127104	dualbound = 1779940.392940, lowerbound=1080348.392940, norm of subgrad 43.135684	 stepsize= 1.000000 
-dualbound = 1780238.471842, lowerbound=1074035.471842, norm of subgrad 1037.139080	dualbound = 1780238.471842, lowerbound=1074035.471842, norm of subgrad 43.818705	 stepsize= 1.000000 
-dualbound = 1780569.700278, lowerbound=1074856.700278, norm of subgrad 1037.484795	dualbound = 1780569.700278, lowerbound=1074856.700278, norm of subgrad 43.002656	 stepsize= 1.000000 
-dualbound = 1780925.194584, lowerbound=1075116.194584, norm of subgrad 1037.602619	dualbound = 1780925.194584, lowerbound=1075116.194584, norm of subgrad 43.110258	 stepsize= 1.000000 
-dualbound = 1781270.944016, lowerbound=1078229.944016, norm of subgrad 1039.121718	dualbound = 1781270.944016, lowerbound=1078229.944016, norm of subgrad 43.471248	 stepsize= 1.000000 
-dualbound = 1781571.517648, lowerbound=1077587.517648, norm of subgrad 1038.845281	dualbound = 1781571.517648, lowerbound=1077587.517648, norm of subgrad 43.732981	 stepsize= 1.000000 
-dualbound = 1781909.373855, lowerbound=1075598.373855, norm of subgrad 1037.845063	dualbound = 1781909.373855, lowerbound=1075598.373855, norm of subgrad 43.149232	 stepsize= 1.000000 
-dualbound = 1782285.269437, lowerbound=1076153.269437, norm of subgrad 1038.110914	dualbound = 1782285.269437, lowerbound=1076153.269437, norm of subgrad 43.553365	 stepsize= 1.000000 
-dualbound = 1782590.609447, lowerbound=1076491.609447, norm of subgrad 1038.287344	dualbound = 1782590.609447, lowerbound=1076491.609447, norm of subgrad 43.062048	 stepsize= 1.000000 
-dualbound = 1782925.062051, lowerbound=1074652.062051, norm of subgrad 1037.407857	dualbound = 1782925.062051, lowerbound=1074652.062051, norm of subgrad 43.559759	 stepsize= 1.000000 
-dualbound = 1783246.348334, lowerbound=1077856.348334, norm of subgrad 1038.975143	dualbound = 1783246.348334, lowerbound=1077856.348334, norm of subgrad 43.980522	 stepsize= 1.000000 
-dualbound = 1783558.170496, lowerbound=1070866.170496, norm of subgrad 1035.593632	dualbound = 1783558.170496, lowerbound=1070866.170496, norm of subgrad 43.586949	 stepsize= 1.000000 
-dualbound = 1783923.008481, lowerbound=1082048.008481, norm of subgrad 1040.940925	dualbound = 1783923.008481, lowerbound=1082048.008481, norm of subgrad 43.299399	 stepsize= 1.000000 
-dualbound = 1784271.746112, lowerbound=1072924.746112, norm of subgrad 1036.555713	dualbound = 1784271.746112, lowerbound=1072924.746112, norm of subgrad 43.263583	 stepsize= 1.000000 
-dualbound = 1784584.719599, lowerbound=1080580.719599, norm of subgrad 1040.241183	dualbound = 1784584.719599, lowerbound=1080580.719599, norm of subgrad 42.824917	 stepsize= 1.000000 
-dualbound = 1784934.900221, lowerbound=1071686.900221, norm of subgrad 1035.929969	dualbound = 1784934.900221, lowerbound=1071686.900221, norm of subgrad 42.593199	 stepsize= 1.000000 
-dualbound = 1785282.988582, lowerbound=1079902.988582, norm of subgrad 1039.908644	dualbound = 1785282.988582, lowerbound=1079902.988582, norm of subgrad 43.070737	 stepsize= 1.000000 
-dualbound = 1785602.457071, lowerbound=1075670.457071, norm of subgrad 1037.895687	dualbound = 1785602.457071, lowerbound=1075670.457071, norm of subgrad 43.318224	 stepsize= 1.000000 
-dualbound = 1785929.018786, lowerbound=1077572.018786, norm of subgrad 1038.813274	dualbound = 1785929.018786, lowerbound=1077572.018786, norm of subgrad 43.446078	 stepsize= 1.000000 
-dualbound = 1786227.247884, lowerbound=1071786.247884, norm of subgrad 1036.032938	dualbound = 1786227.247884, lowerbound=1071786.247884, norm of subgrad 43.315460	 stepsize= 1.000000 
-dualbound = 1786581.919780, lowerbound=1078094.919780, norm of subgrad 1039.065407	dualbound = 1786581.919780, lowerbound=1078094.919780, norm of subgrad 43.779812	 stepsize= 1.000000 
-dualbound = 1786931.292105, lowerbound=1077469.292105, norm of subgrad 1038.782601	dualbound = 1786931.292105, lowerbound=1077469.292105, norm of subgrad 44.151697	 stepsize= 1.000000 
-dualbound = 1787259.196470, lowerbound=1075750.196470, norm of subgrad 1037.945662	dualbound = 1787259.196470, lowerbound=1075750.196470, norm of subgrad 43.691010	 stepsize= 1.000000 
-dualbound = 1787602.042506, lowerbound=1077655.042506, norm of subgrad 1038.827725	dualbound = 1787602.042506, lowerbound=1077655.042506, norm of subgrad 43.021460	 stepsize= 1.000000 
-dualbound = 1787937.918763, lowerbound=1075985.918763, norm of subgrad 1038.058244	dualbound = 1787937.918763, lowerbound=1075985.918763, norm of subgrad 43.759299	 stepsize= 1.000000 
-dualbound = 1788267.610513, lowerbound=1075603.610513, norm of subgrad 1037.861075	dualbound = 1788267.610513, lowerbound=1075603.610513, norm of subgrad 43.378471	 stepsize= 1.000000 
-dualbound = 1788608.052215, lowerbound=1074837.052215, norm of subgrad 1037.451229	dualbound = 1788608.052215, lowerbound=1074837.052215, norm of subgrad 42.525777	 stepsize= 1.000000 
-dualbound = 1788954.331647, lowerbound=1078719.331647, norm of subgrad 1039.382187	dualbound = 1788954.331647, lowerbound=1078719.331647, norm of subgrad 44.071299	 stepsize= 1.000000 
-dualbound = 1789239.346835, lowerbound=1077445.346835, norm of subgrad 1038.741713	dualbound = 1789239.346835, lowerbound=1077445.346835, norm of subgrad 42.708491	 stepsize= 1.000000 
-dualbound = 1789624.454120, lowerbound=1078829.454120, norm of subgrad 1039.392830	dualbound = 1789624.454120, lowerbound=1078829.454120, norm of subgrad 43.509853	 stepsize= 1.000000 
-dualbound = 1789936.836093, lowerbound=1075329.836093, norm of subgrad 1037.731100	dualbound = 1789936.836093, lowerbound=1075329.836093, norm of subgrad 43.224784	 stepsize= 1.000000 
-dualbound = 1790259.553074, lowerbound=1074640.553074, norm of subgrad 1037.429300	dualbound = 1790259.553074, lowerbound=1074640.553074, norm of subgrad 44.064918	 stepsize= 1.000000 
-dualbound = 1790582.512128, lowerbound=1080082.512128, norm of subgrad 1040.036784	dualbound = 1790582.512128, lowerbound=1080082.512128, norm of subgrad 43.783091	 stepsize= 1.000000 
-dualbound = 1790920.441853, lowerbound=1077217.441853, norm of subgrad 1038.658963	dualbound = 1790920.441853, lowerbound=1077217.441853, norm of subgrad 43.965097	 stepsize= 1.000000 
-dualbound = 1791277.889533, lowerbound=1072562.889533, norm of subgrad 1036.392247	dualbound = 1791277.889533, lowerbound=1072562.889533, norm of subgrad 43.628519	 stepsize= 1.000000 
-dualbound = 1791593.043188, lowerbound=1078945.043188, norm of subgrad 1039.495091	dualbound = 1791593.043188, lowerbound=1078945.043188, norm of subgrad 43.819558	 stepsize= 1.000000 
-dualbound = 1791928.150474, lowerbound=1076200.150474, norm of subgrad 1038.131085	dualbound = 1791928.150474, lowerbound=1076200.150474, norm of subgrad 43.024496	 stepsize= 1.000000 
-dualbound = 1792279.627787, lowerbound=1081303.627787, norm of subgrad 1040.605414	dualbound = 1792279.627787, lowerbound=1081303.627787, norm of subgrad 43.674676	 stepsize= 1.000000 
-dualbound = 1792580.591132, lowerbound=1074972.591132, norm of subgrad 1037.590281	dualbound = 1792580.591132, lowerbound=1074972.591132, norm of subgrad 43.840202	 stepsize= 1.000000 
-dualbound = 1792911.801229, lowerbound=1077474.801229, norm of subgrad 1038.773701	dualbound = 1792911.801229, lowerbound=1077474.801229, norm of subgrad 43.671617	 stepsize= 1.000000 
-dualbound = 1793237.262114, lowerbound=1079256.262114, norm of subgrad 1039.642853	dualbound = 1793237.262114, lowerbound=1079256.262114, norm of subgrad 43.891467	 stepsize= 1.000000 
-dualbound = 1793598.507465, lowerbound=1076930.507465, norm of subgrad 1038.501087	dualbound = 1793598.507465, lowerbound=1076930.507465, norm of subgrad 43.763516	 stepsize= 1.000000 
-dualbound = 1793929.426976, lowerbound=1077204.426976, norm of subgrad 1038.622851	dualbound = 1793929.426976, lowerbound=1077204.426976, norm of subgrad 43.173134	 stepsize= 1.000000 
-dualbound = 1794239.599893, lowerbound=1074974.599893, norm of subgrad 1037.566191	dualbound = 1794239.599893, lowerbound=1074974.599893, norm of subgrad 43.349428	 stepsize= 1.000000 
-dualbound = 1794593.965697, lowerbound=1077586.965697, norm of subgrad 1038.806992	dualbound = 1794593.965697, lowerbound=1077586.965697, norm of subgrad 43.443824	 stepsize= 1.000000 
-dualbound = 1794915.506440, lowerbound=1076507.506440, norm of subgrad 1038.334968	dualbound = 1794915.506440, lowerbound=1076507.506440, norm of subgrad 44.198877	 stepsize= 1.000000 
-dualbound = 1795228.018544, lowerbound=1078856.018544, norm of subgrad 1039.465256	dualbound = 1795228.018544, lowerbound=1078856.018544, norm of subgrad 44.096622	 stepsize= 1.000000 
-dualbound = 1795587.157633, lowerbound=1074009.157633, norm of subgrad 1037.091682	dualbound = 1795587.157633, lowerbound=1074009.157633, norm of subgrad 43.693696	 stepsize= 1.000000 
-dualbound = 1795910.864899, lowerbound=1078014.864899, norm of subgrad 1039.014853	dualbound = 1795910.864899, lowerbound=1078014.864899, norm of subgrad 43.135916	 stepsize= 1.000000 
-dualbound = 1796254.317114, lowerbound=1078448.317114, norm of subgrad 1039.243627	dualbound = 1796254.317114, lowerbound=1078448.317114, norm of subgrad 43.845778	 stepsize= 1.000000 
-dualbound = 1796577.730265, lowerbound=1077844.730265, norm of subgrad 1038.945008	dualbound = 1796577.730265, lowerbound=1077844.730265, norm of subgrad 43.421344	 stepsize= 1.000000 
-dualbound = 1796930.546129, lowerbound=1076919.546129, norm of subgrad 1038.497735	dualbound = 1796930.546129, lowerbound=1076919.546129, norm of subgrad 43.712880	 stepsize= 1.000000 
-dualbound = 1797227.932797, lowerbound=1078136.932797, norm of subgrad 1039.100059	dualbound = 1797227.932797, lowerbound=1078136.932797, norm of subgrad 43.467076	 stepsize= 1.000000 
-dualbound = 1797574.669107, lowerbound=1080908.669107, norm of subgrad 1040.429079	dualbound = 1797574.669107, lowerbound=1080908.669107, norm of subgrad 43.940145	 stepsize= 1.000000 
-dualbound = 1797890.211865, lowerbound=1075404.211865, norm of subgrad 1037.772717	dualbound = 1797890.211865, lowerbound=1075404.211865, norm of subgrad 43.399801	 stepsize= 1.000000 
-dualbound = 1798252.066137, lowerbound=1079511.066137, norm of subgrad 1039.775488	dualbound = 1798252.066137, lowerbound=1079511.066137, norm of subgrad 44.540479	 stepsize= 1.000000 
-dualbound = 1798545.334166, lowerbound=1076029.334166, norm of subgrad 1038.068078	dualbound = 1798545.334166, lowerbound=1076029.334166, norm of subgrad 43.003116	 stepsize= 1.000000 
-dualbound = 1798934.522341, lowerbound=1077651.522341, norm of subgrad 1038.835176	dualbound = 1798934.522341, lowerbound=1077651.522341, norm of subgrad 43.774287	 stepsize= 1.000000 
-dualbound = 1799234.085793, lowerbound=1076379.085793, norm of subgrad 1038.242306	dualbound = 1799234.085793, lowerbound=1076379.085793, norm of subgrad 43.215315	 stepsize= 1.000000 
-dualbound = 1799563.356360, lowerbound=1076835.356360, norm of subgrad 1038.460570	dualbound = 1799563.356360, lowerbound=1076835.356360, norm of subgrad 43.523219	 stepsize= 1.000000 
-dualbound = 1799903.368149, lowerbound=1078925.368149, norm of subgrad 1039.442335	dualbound = 1799903.368149, lowerbound=1078925.368149, norm of subgrad 43.069848	 stepsize= 1.000000 
-dualbound = 1800240.976715, lowerbound=1075618.976715, norm of subgrad 1037.881967	dualbound = 1800240.976715, lowerbound=1075618.976715, norm of subgrad 43.790508	 stepsize= 1.000000 
-dualbound = 1800563.831876, lowerbound=1077983.831876, norm of subgrad 1039.006175	dualbound = 1800563.831876, lowerbound=1077983.831876, norm of subgrad 43.276497	 stepsize= 1.000000 
-dualbound = 1800880.128532, lowerbound=1079134.128532, norm of subgrad 1039.594213	dualbound = 1800880.128532, lowerbound=1079134.128532, norm of subgrad 44.026091	 stepsize= 1.000000 
-dualbound = 1801217.733462, lowerbound=1079784.733462, norm of subgrad 1039.898425	dualbound = 1801217.733462, lowerbound=1079784.733462, norm of subgrad 44.063646	 stepsize= 1.000000 
-dualbound = 1801534.327589, lowerbound=1076027.327589, norm of subgrad 1038.083969	dualbound = 1801534.327589, lowerbound=1076027.327589, norm of subgrad 43.676013	 stepsize= 1.000000 
-dualbound = 1801884.925969, lowerbound=1078248.925969, norm of subgrad 1039.154428	dualbound = 1801884.925969, lowerbound=1078248.925969, norm of subgrad 44.086261	 stepsize= 1.000000 
-dualbound = 1802221.085466, lowerbound=1077782.085466, norm of subgrad 1038.905715	dualbound = 1802221.085466, lowerbound=1077782.085466, norm of subgrad 43.349273	 stepsize= 1.000000 
-dualbound = 1802561.366324, lowerbound=1077991.366324, norm of subgrad 1038.985258	dualbound = 1802561.366324, lowerbound=1077991.366324, norm of subgrad 42.886838	 stepsize= 1.000000 
-dualbound = 1802901.674564, lowerbound=1076859.674564, norm of subgrad 1038.461687	dualbound = 1802901.674564, lowerbound=1076859.674564, norm of subgrad 43.397099	 stepsize= 1.000000 
-dualbound = 1803224.633680, lowerbound=1080417.633680, norm of subgrad 1040.175771	dualbound = 1803224.633680, lowerbound=1080417.633680, norm of subgrad 43.254585	 stepsize= 1.000000 
-dualbound = 1803541.256828, lowerbound=1075347.256828, norm of subgrad 1037.752984	dualbound = 1803541.256828, lowerbound=1075347.256828, norm of subgrad 43.596137	 stepsize= 1.000000 
-dualbound = 1803848.403222, lowerbound=1081996.403222, norm of subgrad 1040.962249	dualbound = 1803848.403222, lowerbound=1081996.403222, norm of subgrad 43.739529	 stepsize= 1.000000 
-dualbound = 1804193.540732, lowerbound=1079493.540732, norm of subgrad 1039.755039	dualbound = 1804193.540732, lowerbound=1079493.540732, norm of subgrad 44.069689	 stepsize= 1.000000 
-dualbound = 1804529.283660, lowerbound=1074654.283660, norm of subgrad 1037.403144	dualbound = 1804529.283660, lowerbound=1074654.283660, norm of subgrad 43.436654	 stepsize= 1.000000 
-dualbound = 1804851.345889, lowerbound=1077661.345889, norm of subgrad 1038.856749	dualbound = 1804851.345889, lowerbound=1077661.345889, norm of subgrad 43.405786	 stepsize= 1.000000 
-dualbound = 1805186.025934, lowerbound=1080275.025934, norm of subgrad 1040.153847	dualbound = 1805186.025934, lowerbound=1080275.025934, norm of subgrad 44.493596	 stepsize= 1.000000 
-dualbound = 1805528.912484, lowerbound=1080080.912484, norm of subgrad 1040.004766	dualbound = 1805528.912484, lowerbound=1080080.912484, norm of subgrad 43.265304	 stepsize= 1.000000 
-dualbound = 1805872.424722, lowerbound=1077864.424722, norm of subgrad 1038.940530	dualbound = 1805872.424722, lowerbound=1077864.424722, norm of subgrad 43.318728	 stepsize= 1.000000 
-dualbound = 1806178.236118, lowerbound=1077074.236118, norm of subgrad 1038.609280	dualbound = 1806178.236118, lowerbound=1077074.236118, norm of subgrad 44.054641	 stepsize= 1.000000 
-dualbound = 1806502.598664, lowerbound=1079985.598664, norm of subgrad 1039.951248	dualbound = 1806502.598664, lowerbound=1079985.598664, norm of subgrad 42.864467	 stepsize= 1.000000 
-dualbound = 1806852.093890, lowerbound=1076690.093890, norm of subgrad 1038.408443	dualbound = 1806852.093890, lowerbound=1076690.093890, norm of subgrad 44.175731	 stepsize= 1.000000 
-dualbound = 1807165.176653, lowerbound=1079519.176653, norm of subgrad 1039.752459	dualbound = 1807165.176653, lowerbound=1079519.176653, norm of subgrad 43.348388	 stepsize= 1.000000 
-dualbound = 1807508.329389, lowerbound=1078737.329389, norm of subgrad 1039.371603	dualbound = 1807508.329389, lowerbound=1078737.329389, norm of subgrad 43.579270	 stepsize= 1.000000 
-dualbound = 1807824.163668, lowerbound=1078962.163668, norm of subgrad 1039.530261	dualbound = 1807824.163668, lowerbound=1078962.163668, norm of subgrad 44.461605	 stepsize= 1.000000 
-dualbound = 1808120.810974, lowerbound=1079192.810974, norm of subgrad 1039.600313	dualbound = 1808120.810974, lowerbound=1079192.810974, norm of subgrad 43.274095	 stepsize= 1.000000 
-dualbound = 1808513.137209, lowerbound=1081036.137209, norm of subgrad 1040.451891	dualbound = 1808513.137209, lowerbound=1081036.137209, norm of subgrad 43.546828	 stepsize= 1.000000 
-dualbound = 1808814.222290, lowerbound=1076790.222290, norm of subgrad 1038.455691	dualbound = 1808814.222290, lowerbound=1076790.222290, norm of subgrad 43.601434	 stepsize= 1.000000 
-dualbound = 1809138.000637, lowerbound=1080466.000637, norm of subgrad 1040.225937	dualbound = 1809138.000637, lowerbound=1080466.000637, norm of subgrad 43.906473	 stepsize= 1.000000 
-dualbound = 1809484.662916, lowerbound=1076372.662916, norm of subgrad 1038.254142	dualbound = 1809484.662916, lowerbound=1076372.662916, norm of subgrad 44.109662	 stepsize= 1.000000 
-dualbound = 1809810.350740, lowerbound=1078837.350740, norm of subgrad 1039.396147	dualbound = 1809810.350740, lowerbound=1078837.350740, norm of subgrad 42.809903	 stepsize= 1.000000 
-dualbound = 1810158.220657, lowerbound=1080707.220657, norm of subgrad 1040.324575	dualbound = 1810158.220657, lowerbound=1080707.220657, norm of subgrad 43.770651	 stepsize= 1.000000 
-dualbound = 1810456.074480, lowerbound=1077370.074480, norm of subgrad 1038.716552	dualbound = 1810456.074480, lowerbound=1077370.074480, norm of subgrad 43.126023	 stepsize= 1.000000 
-dualbound = 1810794.052475, lowerbound=1082280.052475, norm of subgrad 1041.067266	dualbound = 1810794.052475, lowerbound=1082280.052475, norm of subgrad 43.347180	 stepsize= 1.000000 
-dualbound = 1811128.670686, lowerbound=1077061.670686, norm of subgrad 1038.564235	dualbound = 1811128.670686, lowerbound=1077061.670686, norm of subgrad 43.458235	 stepsize= 1.000000 
-dualbound = 1811447.335798, lowerbound=1082160.335798, norm of subgrad 1041.010728	dualbound = 1811447.335798, lowerbound=1082160.335798, norm of subgrad 43.147017	 stepsize= 1.000000 
-dualbound = 1811790.542352, lowerbound=1076845.542352, norm of subgrad 1038.461141	dualbound = 1811790.542352, lowerbound=1076845.542352, norm of subgrad 43.579887	 stepsize= 1.000000 
-dualbound = 1812111.734325, lowerbound=1080830.734325, norm of subgrad 1040.383455	dualbound = 1812111.734325, lowerbound=1080830.734325, norm of subgrad 43.453331	 stepsize= 1.000000 
-dualbound = 1812437.466676, lowerbound=1080711.466676, norm of subgrad 1040.316042	dualbound = 1812437.466676, lowerbound=1080711.466676, norm of subgrad 43.263522	 stepsize= 1.000000 
-dualbound = 1812770.048457, lowerbound=1078134.048457, norm of subgrad 1039.131873	dualbound = 1812770.048457, lowerbound=1078134.048457, norm of subgrad 44.649544	 stepsize= 1.000000 
-dualbound = 1813069.201060, lowerbound=1080926.201060, norm of subgrad 1040.429816	dualbound = 1813069.201060, lowerbound=1080926.201060, norm of subgrad 43.210561	 stepsize= 1.000000 
-dualbound = 1813421.609628, lowerbound=1080489.609628, norm of subgrad 1040.209407	dualbound = 1813421.609628, lowerbound=1080489.609628, norm of subgrad 43.570731	 stepsize= 1.000000 
-dualbound = 1813742.775641, lowerbound=1080095.775641, norm of subgrad 1040.048449	dualbound = 1813742.775641, lowerbound=1080095.775641, norm of subgrad 43.888108	 stepsize= 1.000000 
-dualbound = 1814059.024941, lowerbound=1079589.024941, norm of subgrad 1039.826921	dualbound = 1814059.024941, lowerbound=1079589.024941, norm of subgrad 44.353684	 stepsize= 1.000000 
-dualbound = 1814363.802419, lowerbound=1082297.802419, norm of subgrad 1041.126699	dualbound = 1814363.802419, lowerbound=1082297.802419, norm of subgrad 44.178926	 stepsize= 1.000000 
-dualbound = 1814710.570137, lowerbound=1078069.570137, norm of subgrad 1039.051765	dualbound = 1814710.570137, lowerbound=1078069.570137, norm of subgrad 43.655100	 stepsize= 1.000000 
-dualbound = 1815038.147897, lowerbound=1081525.147897, norm of subgrad 1040.705601	dualbound = 1815038.147897, lowerbound=1081525.147897, norm of subgrad 43.250176	 stepsize= 1.000000 
-dualbound = 1815370.614039, lowerbound=1078295.614039, norm of subgrad 1039.184110	dualbound = 1815370.614039, lowerbound=1078295.614039, norm of subgrad 44.050722	 stepsize= 1.000000 
-dualbound = 1815677.036973, lowerbound=1082390.036973, norm of subgrad 1041.142179	dualbound = 1815677.036973, lowerbound=1082390.036973, norm of subgrad 43.513480	 stepsize= 1.000000 
-dualbound = 1816026.580460, lowerbound=1079194.580460, norm of subgrad 1039.598759	dualbound = 1816026.580460, lowerbound=1079194.580460, norm of subgrad 43.824006	 stepsize= 1.000000 
-dualbound = 1816333.472499, lowerbound=1079326.472499, norm of subgrad 1039.671329	dualbound = 1816333.472499, lowerbound=1079326.472499, norm of subgrad 43.553324	 stepsize= 1.000000 
-dualbound = 1816662.995126, lowerbound=1079905.995126, norm of subgrad 1039.941342	dualbound = 1816662.995126, lowerbound=1079905.995126, norm of subgrad 43.606452	 stepsize= 1.000000 
-dualbound = 1817005.064937, lowerbound=1081715.064937, norm of subgrad 1040.777625	dualbound = 1817005.064937, lowerbound=1081715.064937, norm of subgrad 42.954276	 stepsize= 1.000000 
-dualbound = 1817332.220055, lowerbound=1078563.220055, norm of subgrad 1039.291692	dualbound = 1817332.220055, lowerbound=1078563.220055, norm of subgrad 43.487413	 stepsize= 1.000000 
-dualbound = 1817645.692051, lowerbound=1082983.692051, norm of subgrad 1041.432999	dualbound = 1817645.692051, lowerbound=1082983.692051, norm of subgrad 43.731819	 stepsize= 1.000000 
-dualbound = 1817959.555625, lowerbound=1077511.555625, norm of subgrad 1038.766362	dualbound = 1817959.555625, lowerbound=1077511.555625, norm of subgrad 42.870311	 stepsize= 1.000000 
-dualbound = 1818300.202659, lowerbound=1082876.202659, norm of subgrad 1041.385713	dualbound = 1818300.202659, lowerbound=1082876.202659, norm of subgrad 44.143482	 stepsize= 1.000000 
-dualbound = 1818611.610262, lowerbound=1082416.610262, norm of subgrad 1041.120843	dualbound = 1818611.610262, lowerbound=1082416.610262, norm of subgrad 42.748188	 stepsize= 1.000000 
-dualbound = 1818923.096782, lowerbound=1079898.096782, norm of subgrad 1039.963027	dualbound = 1818923.096782, lowerbound=1079898.096782, norm of subgrad 44.005528	 stepsize= 1.000000 
-dualbound = 1819262.516797, lowerbound=1079781.516797, norm of subgrad 1039.872356	dualbound = 1819262.516797, lowerbound=1079781.516797, norm of subgrad 43.501954	 stepsize= 1.000000 
-dualbound = 1819575.502578, lowerbound=1083408.502578, norm of subgrad 1041.638374	dualbound = 1819575.502578, lowerbound=1083408.502578, norm of subgrad 43.760551	 stepsize= 1.000000 
-dualbound = 1819913.622890, lowerbound=1077176.622890, norm of subgrad 1038.593579	dualbound = 1819913.622890, lowerbound=1077176.622890, norm of subgrad 42.873305	 stepsize= 1.000000 
-dualbound = 1820257.578470, lowerbound=1081221.578470, norm of subgrad 1040.553977	dualbound = 1820257.578470, lowerbound=1081221.578470, norm of subgrad 43.300757	 stepsize= 1.000000 
-dualbound = 1820567.776899, lowerbound=1079906.776899, norm of subgrad 1039.991720	dualbound = 1820567.776899, lowerbound=1079906.776899, norm of subgrad 44.566786	 stepsize= 1.000000 
-dualbound = 1820839.080934, lowerbound=1082129.080934, norm of subgrad 1041.025015	dualbound = 1820839.080934, lowerbound=1082129.080934, norm of subgrad 43.304781	 stepsize= 1.000000 
-dualbound = 1821209.453935, lowerbound=1081892.453935, norm of subgrad 1040.895986	dualbound = 1821209.453935, lowerbound=1081892.453935, norm of subgrad 44.072361	 stepsize= 1.000000 
-dualbound = 1821522.432189, lowerbound=1080241.432189, norm of subgrad 1040.092992	dualbound = 1821522.432189, lowerbound=1080241.432189, norm of subgrad 43.185394	 stepsize= 1.000000 
-dualbound = 1821869.474503, lowerbound=1078963.474503, norm of subgrad 1039.477982	dualbound = 1821869.474503, lowerbound=1078963.474503, norm of subgrad 43.566527	 stepsize= 1.000000 
-dualbound = 1822173.590507, lowerbound=1083413.590507, norm of subgrad 1041.616336	dualbound = 1822173.590507, lowerbound=1083413.590507, norm of subgrad 43.071058	 stepsize= 1.000000 
-dualbound = 1822514.736929, lowerbound=1080658.736929, norm of subgrad 1040.304156	dualbound = 1822514.736929, lowerbound=1080658.736929, norm of subgrad 43.762386	 stepsize= 1.000000 
-dualbound = 1822794.973008, lowerbound=1083090.973008, norm of subgrad 1041.457619	dualbound = 1822794.973008, lowerbound=1083090.973008, norm of subgrad 42.699369	 stepsize= 1.000000 
-dualbound = 1823153.343381, lowerbound=1080292.343381, norm of subgrad 1040.133330	dualbound = 1823153.343381, lowerbound=1080292.343381, norm of subgrad 44.083675	 stepsize= 1.000000 
-dualbound = 1823447.713489, lowerbound=1082230.713489, norm of subgrad 1041.069024	dualbound = 1823447.713489, lowerbound=1082230.713489, norm of subgrad 43.455381	 stepsize= 1.000000 
-dualbound = 1823795.314412, lowerbound=1081747.314412, norm of subgrad 1040.812334	dualbound = 1823795.314412, lowerbound=1081747.314412, norm of subgrad 43.481041	 stepsize= 1.000000 
-dualbound = 1824118.293650, lowerbound=1084259.293650, norm of subgrad 1042.024133	dualbound = 1824118.293650, lowerbound=1084259.293650, norm of subgrad 43.335658	 stepsize= 1.000000 
-dualbound = 1824426.494282, lowerbound=1077976.494282, norm of subgrad 1039.030074	dualbound = 1824426.494282, lowerbound=1077976.494282, norm of subgrad 43.763005	 stepsize= 1.000000 
-dualbound = 1824733.871733, lowerbound=1083406.871733, norm of subgrad 1041.672152	dualbound = 1824733.871733, lowerbound=1083406.871733, norm of subgrad 44.512666	 stepsize= 1.000000 
-dualbound = 1825059.074162, lowerbound=1082864.074162, norm of subgrad 1041.378449	dualbound = 1825059.074162, lowerbound=1082864.074162, norm of subgrad 43.934069	 stepsize= 1.000000 
-dualbound = 1825382.780077, lowerbound=1080174.780077, norm of subgrad 1040.056143	dualbound = 1825382.780077, lowerbound=1080174.780077, norm of subgrad 43.193818	 stepsize= 1.000000 
-dualbound = 1825727.479551, lowerbound=1083185.479551, norm of subgrad 1041.513552	dualbound = 1825727.479551, lowerbound=1083185.479551, norm of subgrad 43.700108	 stepsize= 1.000000 
-dualbound = 1826053.850207, lowerbound=1084791.850207, norm of subgrad 1042.255175	dualbound = 1826053.850207, lowerbound=1084791.850207, norm of subgrad 42.782831	 stepsize= 1.000000 
-dualbound = 1826364.186883, lowerbound=1079946.186883, norm of subgrad 1039.970763	dualbound = 1826364.186883, lowerbound=1079946.186883, norm of subgrad 43.627247	 stepsize= 1.000000 
-dualbound = 1826667.273108, lowerbound=1082375.273108, norm of subgrad 1041.137490	dualbound = 1826667.273108, lowerbound=1082375.273108, norm of subgrad 43.532588	 stepsize= 1.000000 
-dualbound = 1827006.045954, lowerbound=1080982.045954, norm of subgrad 1040.462419	dualbound = 1827006.045954, lowerbound=1080982.045954, norm of subgrad 43.803799	 stepsize= 1.000000 
-dualbound = 1827313.117022, lowerbound=1081772.117022, norm of subgrad 1040.850190	dualbound = 1827313.117022, lowerbound=1081772.117022, norm of subgrad 43.635663	 stepsize= 1.000000 
-dualbound = 1827646.449146, lowerbound=1085042.449146, norm of subgrad 1042.420956	dualbound = 1827646.449146, lowerbound=1085042.449146, norm of subgrad 43.958300	 stepsize= 1.000000 
-dualbound = 1827959.841916, lowerbound=1082490.841916, norm of subgrad 1041.184826	dualbound = 1827959.841916, lowerbound=1082490.841916, norm of subgrad 43.455641	 stepsize= 1.000000 
-dualbound = 1828314.581053, lowerbound=1079477.581053, norm of subgrad 1039.710335	dualbound = 1828314.581053, lowerbound=1079477.581053, norm of subgrad 43.298258	 stepsize= 1.000000 
-dualbound = 1828612.796658, lowerbound=1086774.796658, norm of subgrad 1043.248674	dualbound = 1828612.796658, lowerbound=1086774.796658, norm of subgrad 43.488109	 stepsize= 1.000000 
-dualbound = 1828929.002408, lowerbound=1078304.002408, norm of subgrad 1039.142917	dualbound = 1828929.002408, lowerbound=1078304.002408, norm of subgrad 42.780904	 stepsize= 1.000000 
-dualbound = 1829302.083850, lowerbound=1082343.083850, norm of subgrad 1041.107624	dualbound = 1829302.083850, lowerbound=1082343.083850, norm of subgrad 43.989561	 stepsize= 1.000000 
-dualbound = 1829591.040599, lowerbound=1080519.040599, norm of subgrad 1040.234608	dualbound = 1829591.040599, lowerbound=1080519.040599, norm of subgrad 43.104022	 stepsize= 1.000000 
-dualbound = 1829912.732933, lowerbound=1083801.732933, norm of subgrad 1041.797837	dualbound = 1829912.732933, lowerbound=1083801.732933, norm of subgrad 43.158920	 stepsize= 1.000000 
-dualbound = 1830200.802519, lowerbound=1082452.802519, norm of subgrad 1041.182886	dualbound = 1830200.802519, lowerbound=1082452.802519, norm of subgrad 43.555362	 stepsize= 1.000000 
-dualbound = 1830535.510308, lowerbound=1083713.510308, norm of subgrad 1041.749735	dualbound = 1830535.510308, lowerbound=1083713.510308, norm of subgrad 43.170682	 stepsize= 1.000000 
-dualbound = 1830879.944184, lowerbound=1081576.944184, norm of subgrad 1040.745860	dualbound = 1830879.944184, lowerbound=1081576.944184, norm of subgrad 43.811344	 stepsize= 1.000000 
-dualbound = 1831175.426499, lowerbound=1084051.426499, norm of subgrad 1041.940702	dualbound = 1831175.426499, lowerbound=1084051.426499, norm of subgrad 43.410624	 stepsize= 1.000000 
-dualbound = 1831514.608988, lowerbound=1079771.608988, norm of subgrad 1039.889229	dualbound = 1831514.608988, lowerbound=1079771.608988, norm of subgrad 44.013435	 stepsize= 1.000000 
-dualbound = 1831826.763475, lowerbound=1085750.763475, norm of subgrad 1042.735232	dualbound = 1831826.763475, lowerbound=1085750.763475, norm of subgrad 43.106316	 stepsize= 1.000000 
-dualbound = 1832151.250559, lowerbound=1080293.250559, norm of subgrad 1040.109249	dualbound = 1832151.250559, lowerbound=1080293.250559, norm of subgrad 43.110174	 stepsize= 1.000000 
-dualbound = 1832472.243667, lowerbound=1085928.243667, norm of subgrad 1042.816016	dualbound = 1832472.243667, lowerbound=1085928.243667, norm of subgrad 43.104444	 stepsize= 1.000000 
-dualbound = 1832787.107932, lowerbound=1079718.107931, norm of subgrad 1039.847156	dualbound = 1832787.107932, lowerbound=1079718.107931, norm of subgrad 43.345868	 stepsize= 1.000000 
-dualbound = 1833109.261126, lowerbound=1084174.261126, norm of subgrad 1041.990048	dualbound = 1833109.261126, lowerbound=1084174.261126, norm of subgrad 43.487391	 stepsize= 1.000000 
-dualbound = 1833434.308543, lowerbound=1081795.308543, norm of subgrad 1040.830106	dualbound = 1833434.308543, lowerbound=1081795.308543, norm of subgrad 43.093473	 stepsize= 1.000000 
-dualbound = 1833724.921296, lowerbound=1084630.921296, norm of subgrad 1042.215871	dualbound = 1833724.921296, lowerbound=1084630.921296, norm of subgrad 43.285249	 stepsize= 1.000000 
-dualbound = 1834072.904950, lowerbound=1081281.904950, norm of subgrad 1040.615637	dualbound = 1834072.904950, lowerbound=1081281.904950, norm of subgrad 44.124638	 stepsize= 1.000000 
-dualbound = 1834381.784125, lowerbound=1081216.784125, norm of subgrad 1040.551673	dualbound = 1834381.784125, lowerbound=1081216.784125, norm of subgrad 42.893813	 stepsize= 1.000000 
-dualbound = 1834705.774014, lowerbound=1084030.774014, norm of subgrad 1041.943268	dualbound = 1834705.774014, lowerbound=1084030.774014, norm of subgrad 44.033963	 stepsize= 1.000000 
-dualbound = 1835001.850377, lowerbound=1085729.850377, norm of subgrad 1042.726163	dualbound = 1835001.850377, lowerbound=1085729.850377, norm of subgrad 42.942710	 stepsize= 1.000000 
-dualbound = 1835365.455233, lowerbound=1076968.455233, norm of subgrad 1038.499617	dualbound = 1835365.455233, lowerbound=1076968.455233, norm of subgrad 43.319798	 stepsize= 1.000000 
-dualbound = 1835670.723336, lowerbound=1084042.723336, norm of subgrad 1041.914451	dualbound = 1835670.723336, lowerbound=1084042.723336, norm of subgrad 42.991489	 stepsize= 1.000000 
-dualbound = 1835986.731740, lowerbound=1085536.731739, norm of subgrad 1042.650820	dualbound = 1835986.731740, lowerbound=1085536.731739, norm of subgrad 43.589086	 stepsize= 1.000000 
-dualbound = 1836290.309560, lowerbound=1082581.309560, norm of subgrad 1041.243636	dualbound = 1836290.309560, lowerbound=1082581.309560, norm of subgrad 43.710157	 stepsize= 1.000000 
-dualbound = 1836607.929418, lowerbound=1081984.929418, norm of subgrad 1040.931760	dualbound = 1836607.929418, lowerbound=1081984.929418, norm of subgrad 43.262222	 stepsize= 1.000000 
-dualbound = 1836937.193289, lowerbound=1083144.193289, norm of subgrad 1041.486531	dualbound = 1836937.193289, lowerbound=1083144.193289, norm of subgrad 43.350477	 stepsize= 1.000000 
-dualbound = 1837237.093148, lowerbound=1080652.093148, norm of subgrad 1040.297598	dualbound = 1837237.093148, lowerbound=1080652.093148, norm of subgrad 43.207637	 stepsize= 1.000000 
-dualbound = 1837558.969867, lowerbound=1085003.969867, norm of subgrad 1042.369402	dualbound = 1837558.969867, lowerbound=1085003.969867, norm of subgrad 43.033437	 stepsize= 1.000000 
-dualbound = 1837918.374661, lowerbound=1082120.374661, norm of subgrad 1040.958873	dualbound = 1837918.374661, lowerbound=1082120.374661, norm of subgrad 42.829952	 stepsize= 1.000000 
-dualbound = 1838220.970971, lowerbound=1085247.970971, norm of subgrad 1042.465813	dualbound = 1838220.970971, lowerbound=1085247.970971, norm of subgrad 42.303621	 stepsize= 1.000000 
-dualbound = 1838555.990632, lowerbound=1078564.990632, norm of subgrad 1039.308419	dualbound = 1838555.990632, lowerbound=1078564.990632, norm of subgrad 43.954746	 stepsize= 1.000000 
-dualbound = 1838815.014700, lowerbound=1083530.014700, norm of subgrad 1041.686140	dualbound = 1838815.014700, lowerbound=1083530.014700, norm of subgrad 42.883844	 stepsize= 1.000000 
-dualbound = 1839158.628551, lowerbound=1083543.628551, norm of subgrad 1041.672035	dualbound = 1839158.628551, lowerbound=1083543.628551, norm of subgrad 43.366045	 stepsize= 1.000000 
-dualbound = 1839495.061616, lowerbound=1081668.061616, norm of subgrad 1040.772339	dualbound = 1839495.061616, lowerbound=1081668.061616, norm of subgrad 43.306271	 stepsize= 1.000000 
-dualbound = 1839815.999256, lowerbound=1085928.999256, norm of subgrad 1042.844667	dualbound = 1839815.999256, lowerbound=1085928.999256, norm of subgrad 43.782846	 stepsize= 1.000000 
-dualbound = 1840085.689774, lowerbound=1084247.689774, norm of subgrad 1042.064628	dualbound = 1840085.689774, lowerbound=1084247.689774, norm of subgrad 43.825683	 stepsize= 1.000000 
-dualbound = 1840399.681750, lowerbound=1085544.681750, norm of subgrad 1042.655112	dualbound = 1840399.681750, lowerbound=1085544.681750, norm of subgrad 43.577425	 stepsize= 1.000000 
-dualbound = 1840748.715648, lowerbound=1079988.715648, norm of subgrad 1039.959959	dualbound = 1840748.715648, lowerbound=1079988.715648, norm of subgrad 43.324749	 stepsize= 1.000000 
-dualbound = 1841070.797613, lowerbound=1082964.797613, norm of subgrad 1041.387439	dualbound = 1841070.797613, lowerbound=1082964.797613, norm of subgrad 42.954417	 stepsize= 1.000000 
-dualbound = 1841385.543151, lowerbound=1085858.543151, norm of subgrad 1042.771568	dualbound = 1841385.543151, lowerbound=1085858.543151, norm of subgrad 42.763834	 stepsize= 1.000000 
-dualbound = 1841703.012701, lowerbound=1085720.012701, norm of subgrad 1042.726720	dualbound = 1841703.012701, lowerbound=1085720.012701, norm of subgrad 43.318236	 stepsize= 1.000000 
-dualbound = 1842019.364636, lowerbound=1079439.364636, norm of subgrad 1039.742932	dualbound = 1842019.364636, lowerbound=1079439.364636, norm of subgrad 44.072122	 stepsize= 1.000000 
-dualbound = 1842318.862093, lowerbound=1082269.862093, norm of subgrad 1041.062372	dualbound = 1842318.862093, lowerbound=1082269.862093, norm of subgrad 42.901019	 stepsize= 1.000000 
-dualbound = 1842673.027608, lowerbound=1087980.027608, norm of subgrad 1043.808904	dualbound = 1842673.027608, lowerbound=1087980.027608, norm of subgrad 43.716879	 stepsize= 1.000000 
-dualbound = 1842964.181992, lowerbound=1083403.181992, norm of subgrad 1041.608459	dualbound = 1842964.181992, lowerbound=1083403.181992, norm of subgrad 42.850372	 stepsize= 1.000000 
-dualbound = 1843299.680483, lowerbound=1082997.680483, norm of subgrad 1041.413789	dualbound = 1843299.680483, lowerbound=1082997.680483, norm of subgrad 43.364715	 stepsize= 1.000000 
-dualbound = 1843595.681081, lowerbound=1084947.681081, norm of subgrad 1042.350076	dualbound = 1843595.681081, lowerbound=1084947.681081, norm of subgrad 42.918534	 stepsize= 1.000000 
-dualbound = 1843924.530175, lowerbound=1083429.530175, norm of subgrad 1041.625907	dualbound = 1843924.530175, lowerbound=1083429.530175, norm of subgrad 43.403330	 stepsize= 1.000000 
-dualbound = 1844235.924212, lowerbound=1084218.924212, norm of subgrad 1042.030194	dualbound = 1844235.924212, lowerbound=1084218.924212, norm of subgrad 43.810889	 stepsize= 1.000000 
-dualbound = 1844529.877089, lowerbound=1082404.877089, norm of subgrad 1041.127695	dualbound = 1844529.877089, lowerbound=1082404.877089, norm of subgrad 42.848021	 stepsize= 1.000000 
-dualbound = 1844879.287066, lowerbound=1083931.287066, norm of subgrad 1041.859053	dualbound = 1844879.287066, lowerbound=1083931.287066, norm of subgrad 43.455839	 stepsize= 1.000000 
-dualbound = 1845190.174870, lowerbound=1082438.174870, norm of subgrad 1041.156172	dualbound = 1845190.174870, lowerbound=1082438.174870, norm of subgrad 43.346139	 stepsize= 1.000000 
-dualbound = 1845500.049481, lowerbound=1084459.049481, norm of subgrad 1042.133413	dualbound = 1845500.049481, lowerbound=1084459.049481, norm of subgrad 43.507179	 stepsize= 1.000000 
-dualbound = 1845820.227894, lowerbound=1083311.227894, norm of subgrad 1041.601281	dualbound = 1845820.227894, lowerbound=1083311.227894, norm of subgrad 44.070153	 stepsize= 1.000000 
-dualbound = 1846084.168793, lowerbound=1084866.168793, norm of subgrad 1042.334960	dualbound = 1846084.168793, lowerbound=1084866.168793, norm of subgrad 43.127032	 stepsize= 1.000000 
-dualbound = 1846459.885276, lowerbound=1084776.885276, norm of subgrad 1042.267185	dualbound = 1846459.885276, lowerbound=1084776.885276, norm of subgrad 43.814569	 stepsize= 1.000000 
-dualbound = 1846761.352085, lowerbound=1085194.352085, norm of subgrad 1042.470792	dualbound = 1846761.352085, lowerbound=1085194.352085, norm of subgrad 43.040293	 stepsize= 1.000000 
-dualbound = 1847091.511819, lowerbound=1086515.511819, norm of subgrad 1043.125837	dualbound = 1847091.511819, lowerbound=1086515.511819, norm of subgrad 43.888036	 stepsize= 1.000000 
-dualbound = 1847363.846065, lowerbound=1081682.846065, norm of subgrad 1040.837569	dualbound = 1847363.846065, lowerbound=1081682.846065, norm of subgrad 43.958324	 stepsize= 1.000000 
-dualbound = 1847697.741091, lowerbound=1084631.741091, norm of subgrad 1042.209068	dualbound = 1847697.741091, lowerbound=1084631.741091, norm of subgrad 43.610721	 stepsize= 1.000000 
-dualbound = 1848029.829174, lowerbound=1082158.829174, norm of subgrad 1041.022012	dualbound = 1848029.829174, lowerbound=1082158.829174, norm of subgrad 43.590000	 stepsize= 1.000000 
-dualbound = 1848356.059609, lowerbound=1086388.059609, norm of subgrad 1043.012013	dualbound = 1848356.059609, lowerbound=1086388.059609, norm of subgrad 42.570300	 stepsize= 1.000000 
-dualbound = 1848673.996952, lowerbound=1083751.996952, norm of subgrad 1041.783565	dualbound = 1848673.996952, lowerbound=1083751.996952, norm of subgrad 43.346711	 stepsize= 1.000000 
-dualbound = 1848966.697382, lowerbound=1086110.697382, norm of subgrad 1042.918356	dualbound = 1848966.697382, lowerbound=1086110.697382, norm of subgrad 43.135837	 stepsize= 1.000000 
-dualbound = 1849285.435881, lowerbound=1082585.435881, norm of subgrad 1041.226890	dualbound = 1849285.435881, lowerbound=1082585.435881, norm of subgrad 43.436603	 stepsize= 1.000000 
-dualbound = 1849606.598298, lowerbound=1082639.598298, norm of subgrad 1041.255299	dualbound = 1849606.598298, lowerbound=1082639.598298, norm of subgrad 43.521976	 stepsize= 1.000000 
-dualbound = 1849894.349054, lowerbound=1086717.349054, norm of subgrad 1043.202449	dualbound = 1849894.349054, lowerbound=1086717.349054, norm of subgrad 42.915624	 stepsize= 1.000000 
-dualbound = 1850249.750085, lowerbound=1085400.750085, norm of subgrad 1042.571221	dualbound = 1850249.750085, lowerbound=1085400.750085, norm of subgrad 43.696694	 stepsize= 1.000000 
-dualbound = 1850535.622209, lowerbound=1082387.622208, norm of subgrad 1041.126612	dualbound = 1850535.622209, lowerbound=1082387.622208, norm of subgrad 42.928686	 stepsize= 1.000000 
-dualbound = 1850887.963492, lowerbound=1085880.963492, norm of subgrad 1042.772729	dualbound = 1850887.963492, lowerbound=1085880.963492, norm of subgrad 42.969074	 stepsize= 1.000000 
-dualbound = 1851189.904019, lowerbound=1084150.904019, norm of subgrad 1041.968763	dualbound = 1851189.904019, lowerbound=1084150.904019, norm of subgrad 43.010935	 stepsize= 1.000000 
-dualbound = 1851495.034982, lowerbound=1084633.034982, norm of subgrad 1042.215925	dualbound = 1851495.034982, lowerbound=1084633.034982, norm of subgrad 43.429609	 stepsize= 1.000000 
-dualbound = 1851797.577703, lowerbound=1083600.577703, norm of subgrad 1041.678251	dualbound = 1851797.577703, lowerbound=1083600.577703, norm of subgrad 42.373845	 stepsize= 1.000000 
-dualbound = 1852134.806205, lowerbound=1084402.806205, norm of subgrad 1042.102589	dualbound = 1852134.806205, lowerbound=1084402.806205, norm of subgrad 43.729035	 stepsize= 1.000000 
-dualbound = 1852413.927134, lowerbound=1083570.927134, norm of subgrad 1041.700978	dualbound = 1852413.927134, lowerbound=1083570.927134, norm of subgrad 43.001406	 stepsize= 1.000000 
-dualbound = 1852735.588697, lowerbound=1085032.588697, norm of subgrad 1042.415747	dualbound = 1852735.588697, lowerbound=1085032.588697, norm of subgrad 43.813943	 stepsize= 1.000000 
-dualbound = 1853050.802438, lowerbound=1087300.802438, norm of subgrad 1043.479661	dualbound = 1853050.802438, lowerbound=1087300.802438, norm of subgrad 43.176542	 stepsize= 1.000000 
-dualbound = 1853363.231019, lowerbound=1083112.231019, norm of subgrad 1041.508152	dualbound = 1853363.231019, lowerbound=1083112.231019, norm of subgrad 44.038944	 stepsize= 1.000000 
-dualbound = 1853665.791415, lowerbound=1087256.791415, norm of subgrad 1043.477739	dualbound = 1853665.791415, lowerbound=1087256.791415, norm of subgrad 43.492073	 stepsize= 1.000000 
-dualbound = 1853967.025453, lowerbound=1084952.025453, norm of subgrad 1042.370868	dualbound = 1853967.025453, lowerbound=1084952.025453, norm of subgrad 43.430796	 stepsize= 1.000000 
-dualbound = 1854313.605934, lowerbound=1085219.605934, norm of subgrad 1042.484823	dualbound = 1854313.605934, lowerbound=1085219.605934, norm of subgrad 43.607115	 stepsize= 1.000000 
-dualbound = 1854625.940189, lowerbound=1084896.940189, norm of subgrad 1042.307507	dualbound = 1854625.940189, lowerbound=1084896.940189, norm of subgrad 42.665375	 stepsize= 1.000000 
-dualbound = 1854938.637687, lowerbound=1085179.637687, norm of subgrad 1042.491073	dualbound = 1854938.637687, lowerbound=1085179.637687, norm of subgrad 43.825763	 stepsize= 1.000000 
-dualbound = 1855223.570897, lowerbound=1084141.570897, norm of subgrad 1041.966684	dualbound = 1855223.570897, lowerbound=1084141.570897, norm of subgrad 42.871123	 stepsize= 1.000000 
-dualbound = 1855577.418401, lowerbound=1080826.418401, norm of subgrad 1040.358313	dualbound = 1855577.418401, lowerbound=1080826.418401, norm of subgrad 43.276408	 stepsize= 1.000000 
-dualbound = 1855854.082977, lowerbound=1085198.082977, norm of subgrad 1042.460591	dualbound = 1855854.082977, lowerbound=1085198.082977, norm of subgrad 42.457798	 stepsize= 1.000000 
-dualbound = 1856190.432843, lowerbound=1085376.432843, norm of subgrad 1042.579701	dualbound = 1856190.432843, lowerbound=1085376.432843, norm of subgrad 43.958502	 stepsize= 1.000000 
-dualbound = 1856480.034608, lowerbound=1084955.034608, norm of subgrad 1042.347847	dualbound = 1856480.034608, lowerbound=1084955.034608, norm of subgrad 42.703650	 stepsize= 1.000000 
-dualbound = 1856842.513763, lowerbound=1087094.513763, norm of subgrad 1043.357807	dualbound = 1856842.513763, lowerbound=1087094.513763, norm of subgrad 43.168034	 stepsize= 1.000000 
-dualbound = 1857123.024939, lowerbound=1086317.024939, norm of subgrad 1043.001450	dualbound = 1857123.024939, lowerbound=1086317.024939, norm of subgrad 42.608816	 stepsize= 1.000000 
-dualbound = 1857455.209457, lowerbound=1082889.209457, norm of subgrad 1041.352587	dualbound = 1857455.209457, lowerbound=1082889.209457, norm of subgrad 43.106664	 stepsize= 1.000000 
-dualbound = 1857728.212703, lowerbound=1087204.212703, norm of subgrad 1043.440086	dualbound = 1857728.212703, lowerbound=1087204.212703, norm of subgrad 42.848608	 stepsize= 1.000000 
-dualbound = 1858065.335494, lowerbound=1084199.335494, norm of subgrad 1042.021274	dualbound = 1858065.335494, lowerbound=1084199.335494, norm of subgrad 44.114882	 stepsize= 1.000000 
-dualbound = 1858366.504661, lowerbound=1081984.504661, norm of subgrad 1040.920989	dualbound = 1858366.504661, lowerbound=1081984.504661, norm of subgrad 42.815525	 stepsize= 1.000000 
-dualbound = 1858689.228170, lowerbound=1082544.228170, norm of subgrad 1041.221028	dualbound = 1858689.228170, lowerbound=1082544.228170, norm of subgrad 43.814649	 stepsize= 1.000000 
-dualbound = 1858975.165438, lowerbound=1091274.165438, norm of subgrad 1045.428699	dualbound = 1858975.165438, lowerbound=1091274.165438, norm of subgrad 43.965182	 stepsize= 1.000000 
-dualbound = 1859298.509080, lowerbound=1082318.509080, norm of subgrad 1041.081413	dualbound = 1859298.509080, lowerbound=1082318.509080, norm of subgrad 43.073700	 stepsize= 1.000000 
-dualbound = 1859615.313137, lowerbound=1085015.313137, norm of subgrad 1042.389713	dualbound = 1859615.313137, lowerbound=1085015.313137, norm of subgrad 43.333637	 stepsize= 1.000000 
-dualbound = 1859950.674755, lowerbound=1085779.674755, norm of subgrad 1042.735189	dualbound = 1859950.674755, lowerbound=1085779.674755, norm of subgrad 43.039071	 stepsize= 1.000000 
-dualbound = 1860259.385341, lowerbound=1086288.385341, norm of subgrad 1042.966627	dualbound = 1860259.385341, lowerbound=1086288.385341, norm of subgrad 42.422996	 stepsize= 1.000000 
-dualbound = 1860581.652785, lowerbound=1084282.652785, norm of subgrad 1042.019507	dualbound = 1860581.652785, lowerbound=1084282.652785, norm of subgrad 42.944935	 stepsize= 1.000000 
-dualbound = 1860876.502331, lowerbound=1085313.502331, norm of subgrad 1042.534173	dualbound = 1860876.502331, lowerbound=1085313.502331, norm of subgrad 43.114377	 stepsize= 1.000000 
-dualbound = 1861179.503034, lowerbound=1081801.503034, norm of subgrad 1040.854218	dualbound = 1861179.503034, lowerbound=1081801.503034, norm of subgrad 43.347442	 stepsize= 1.000000 
-dualbound = 1861485.094021, lowerbound=1088714.094021, norm of subgrad 1044.159037	dualbound = 1861485.094021, lowerbound=1088714.094021, norm of subgrad 43.122975	 stepsize= 1.000000 
-dualbound = 1861830.428308, lowerbound=1085094.428308, norm of subgrad 1042.411832	dualbound = 1861830.428308, lowerbound=1085094.428308, norm of subgrad 43.282032	 stepsize= 1.000000 
-dualbound = 1862123.092497, lowerbound=1085362.092497, norm of subgrad 1042.541650	dualbound = 1862123.092497, lowerbound=1085362.092497, norm of subgrad 42.704381	 stepsize= 1.000000 
-dualbound = 1862434.728829, lowerbound=1082528.728829, norm of subgrad 1041.199178	dualbound = 1862434.728829, lowerbound=1082528.728829, norm of subgrad 43.343239	 stepsize= 1.000000 
-dualbound = 1862743.863778, lowerbound=1090482.863778, norm of subgrad 1045.017638	dualbound = 1862743.863778, lowerbound=1090482.863778, norm of subgrad 43.452675	 stepsize= 1.000000 
-dualbound = 1863055.898198, lowerbound=1083100.898198, norm of subgrad 1041.442700	dualbound = 1863055.898198, lowerbound=1083100.898198, norm of subgrad 42.591483	 stepsize= 1.000000 
-dualbound = 1863380.222085, lowerbound=1084944.222085, norm of subgrad 1042.345539	dualbound = 1863380.222085, lowerbound=1084944.222085, norm of subgrad 43.177817	 stepsize= 1.000000 
-dualbound = 1863668.368767, lowerbound=1084986.368767, norm of subgrad 1042.369113	dualbound = 1863668.368767, lowerbound=1084986.368767, norm of subgrad 42.838612	 stepsize= 1.000000 
-dualbound = 1863999.417474, lowerbound=1088845.417474, norm of subgrad 1044.199893	dualbound = 1863999.417474, lowerbound=1088845.417474, norm of subgrad 42.884131	 stepsize= 1.000000 
-dualbound = 1864305.424100, lowerbound=1084211.424100, norm of subgrad 1041.995405	dualbound = 1864305.424100, lowerbound=1084211.424100, norm of subgrad 43.000077	 stepsize= 1.000000 
-dualbound = 1864623.880024, lowerbound=1085632.880024, norm of subgrad 1042.663838	dualbound = 1864623.880024, lowerbound=1085632.880024, norm of subgrad 42.818873	 stepsize= 1.000000 
-dualbound = 1864932.191905, lowerbound=1084667.191905, norm of subgrad 1042.226075	dualbound = 1864932.191905, lowerbound=1084667.191905, norm of subgrad 43.316416	 stepsize= 1.000000 
-dualbound = 1865215.411846, lowerbound=1086142.411846, norm of subgrad 1042.970475	dualbound = 1865215.411846, lowerbound=1086142.411846, norm of subgrad 43.911501	 stepsize= 1.000000 
-dualbound = 1865532.289328, lowerbound=1087256.289328, norm of subgrad 1043.482290	dualbound = 1865532.289328, lowerbound=1087256.289328, norm of subgrad 43.770738	 stepsize= 1.000000 
-dualbound = 1865846.950538, lowerbound=1084551.950538, norm of subgrad 1042.165510	dualbound = 1865846.950538, lowerbound=1084551.950538, norm of subgrad 43.262700	 stepsize= 1.000000 
-dualbound = 1866183.381911, lowerbound=1082893.381911, norm of subgrad 1041.360832	dualbound = 1866183.381911, lowerbound=1082893.381911, norm of subgrad 43.306251	 stepsize= 1.000000 
-dualbound = 1866492.043745, lowerbound=1089249.043745, norm of subgrad 1044.414211	dualbound = 1866492.043745, lowerbound=1089249.043745, norm of subgrad 43.135390	 stepsize= 1.000000 
-dualbound = 1866801.597931, lowerbound=1082858.597931, norm of subgrad 1041.333567	dualbound = 1866801.597931, lowerbound=1082858.597931, norm of subgrad 42.738205	 stepsize= 1.000000 
-dualbound = 1867116.184319, lowerbound=1088343.184319, norm of subgrad 1043.979973	dualbound = 1867116.184319, lowerbound=1088343.184319, norm of subgrad 43.192434	 stepsize= 1.000000 
-dualbound = 1867415.818918, lowerbound=1085718.818918, norm of subgrad 1042.724709	dualbound = 1867415.818918, lowerbound=1085718.818918, norm of subgrad 43.077077	 stepsize= 1.000000 
-dualbound = 1867723.607133, lowerbound=1083056.607133, norm of subgrad 1041.444961	dualbound = 1867723.607133, lowerbound=1083056.607133, norm of subgrad 43.113666	 stepsize= 1.000000 
-dualbound = 1868048.700773, lowerbound=1087597.700773, norm of subgrad 1043.610416	dualbound = 1868048.700773, lowerbound=1087597.700773, norm of subgrad 43.012715	 stepsize= 1.000000 
-dualbound = 1868360.889422, lowerbound=1087322.889422, norm of subgrad 1043.503181	dualbound = 1868360.889422, lowerbound=1087322.889422, norm of subgrad 43.453293	 stepsize= 1.000000 
-dualbound = 1868646.379965, lowerbound=1085915.379965, norm of subgrad 1042.822315	dualbound = 1868646.379965, lowerbound=1085915.379965, norm of subgrad 42.994076	 stepsize= 1.000000 
-dualbound = 1868948.403642, lowerbound=1087939.403642, norm of subgrad 1043.782738	dualbound = 1868948.403642, lowerbound=1087939.403642, norm of subgrad 42.953739	 stepsize= 1.000000 
-dualbound = 1869303.003728, lowerbound=1082654.003728, norm of subgrad 1041.226202	dualbound = 1869303.003728, lowerbound=1082654.003728, norm of subgrad 43.041841	 stepsize= 1.000000 
-dualbound = 1869617.834211, lowerbound=1086317.834211, norm of subgrad 1042.981704	dualbound = 1869617.834211, lowerbound=1086317.834211, norm of subgrad 42.518590	 stepsize= 1.000000 
-dualbound = 1869922.818779, lowerbound=1088573.818779, norm of subgrad 1044.084680	dualbound = 1869922.818779, lowerbound=1088573.818779, norm of subgrad 42.941641	 stepsize= 1.000000 
-dualbound = 1870187.557918, lowerbound=1086487.557918, norm of subgrad 1043.115314	dualbound = 1870187.557918, lowerbound=1086487.557918, norm of subgrad 43.205777	 stepsize= 1.000000 
-dualbound = 1870490.598569, lowerbound=1084768.598569, norm of subgrad 1042.268007	dualbound = 1870490.598569, lowerbound=1084768.598569, norm of subgrad 43.093395	 stepsize= 1.000000 
-dualbound = 1870818.332133, lowerbound=1083673.332133, norm of subgrad 1041.732371	dualbound = 1870818.332133, lowerbound=1083673.332133, norm of subgrad 43.136221	 stepsize= 1.000000 
-dualbound = 1871137.704694, lowerbound=1089493.704694, norm of subgrad 1044.524152	dualbound = 1871137.704694, lowerbound=1089493.704694, norm of subgrad 43.085642	 stepsize= 1.000000 
-dualbound = 1871449.599637, lowerbound=1086805.599637, norm of subgrad 1043.275419	dualbound = 1871449.599637, lowerbound=1086805.599637, norm of subgrad 43.930570	 stepsize= 1.000000 
-dualbound = 1871751.243744, lowerbound=1084435.243744, norm of subgrad 1042.117673	dualbound = 1871751.243744, lowerbound=1084435.243744, norm of subgrad 43.308707	 stepsize= 1.000000 
-dualbound = 1872061.358427, lowerbound=1086155.358427, norm of subgrad 1042.956067	dualbound = 1872061.358427, lowerbound=1086155.358427, norm of subgrad 43.727734	 stepsize= 1.000000 
-dualbound = 1872364.040631, lowerbound=1087567.040631, norm of subgrad 1043.608183	dualbound = 1872364.040631, lowerbound=1087567.040631, norm of subgrad 43.054410	 stepsize= 1.000000 
-dualbound = 1872696.172693, lowerbound=1085624.172693, norm of subgrad 1042.675008	dualbound = 1872696.172693, lowerbound=1085624.172693, norm of subgrad 43.348957	 stepsize= 1.000000 
-dualbound = 1872984.529905, lowerbound=1088644.529905, norm of subgrad 1044.130514	dualbound = 1872984.529905, lowerbound=1088644.529905, norm of subgrad 43.039020	 stepsize= 1.000000 
-dualbound = 1873325.299184, lowerbound=1082273.299184, norm of subgrad 1041.064983	dualbound = 1873325.299184, lowerbound=1082273.299184, norm of subgrad 43.402411	 stepsize= 1.000000 
-dualbound = 1873617.451469, lowerbound=1089552.451469, norm of subgrad 1044.577164	dualbound = 1873617.451469, lowerbound=1089552.451469, norm of subgrad 43.372252	 stepsize= 1.000000 
-dualbound = 1873898.630226, lowerbound=1086446.630226, norm of subgrad 1043.102886	dualbound = 1873898.630226, lowerbound=1086446.630226, norm of subgrad 43.568093	 stepsize= 1.000000 
-dualbound = 1874228.606675, lowerbound=1086882.606675, norm of subgrad 1043.282132	dualbound = 1874228.606675, lowerbound=1086882.606675, norm of subgrad 43.416315	 stepsize= 1.000000 
-dualbound = 1874566.523581, lowerbound=1084545.523581, norm of subgrad 1042.107731	dualbound = 1874566.523581, lowerbound=1084545.523581, norm of subgrad 42.200911	 stepsize= 1.000000 
-dualbound = 1874867.138528, lowerbound=1087698.138528, norm of subgrad 1043.668596	dualbound = 1874867.138528, lowerbound=1087698.138528, norm of subgrad 42.972258	 stepsize= 1.000000 
-dualbound = 1875166.130203, lowerbound=1086366.130203, norm of subgrad 1043.050876	dualbound = 1875166.130203, lowerbound=1086366.130203, norm of subgrad 43.451026	 stepsize= 1.000000 
-dualbound = 1875480.052299, lowerbound=1080863.052299, norm of subgrad 1040.378322	dualbound = 1875480.052299, lowerbound=1080863.052299, norm of subgrad 42.870994	 stepsize= 1.000000 
-dualbound = 1875793.370539, lowerbound=1087524.370539, norm of subgrad 1043.562346	dualbound = 1875793.370539, lowerbound=1087524.370539, norm of subgrad 42.559585	 stepsize= 1.000000 
-dualbound = 1876111.685844, lowerbound=1086845.685844, norm of subgrad 1043.279774	dualbound = 1876111.685844, lowerbound=1086845.685844, norm of subgrad 43.649918	 stepsize= 1.000000 
-dualbound = 1876371.206409, lowerbound=1090652.206409, norm of subgrad 1045.108227	dualbound = 1876371.206409, lowerbound=1090652.206409, norm of subgrad 43.110562	 stepsize= 1.000000 
-dualbound = 1876720.496923, lowerbound=1084926.496923, norm of subgrad 1042.340874	dualbound = 1876720.496923, lowerbound=1084926.496923, norm of subgrad 43.557898	 stepsize= 1.000000 
-dualbound = 1877026.854412, lowerbound=1085571.854412, norm of subgrad 1042.638410	dualbound = 1877026.854412, lowerbound=1085571.854412, norm of subgrad 42.770989	 stepsize= 1.000000 
-dualbound = 1877335.657219, lowerbound=1085643.657219, norm of subgrad 1042.678597	dualbound = 1877335.657219, lowerbound=1085643.657219, norm of subgrad 42.939525	 stepsize= 1.000000 
-dualbound = 1877632.824517, lowerbound=1091929.824517, norm of subgrad 1045.682946	dualbound = 1877632.824517, lowerbound=1091929.824517, norm of subgrad 42.663419	 stepsize= 1.000000 
-dualbound = 1877955.561180, lowerbound=1084240.561180, norm of subgrad 1041.989233	dualbound = 1877955.561180, lowerbound=1084240.561180, norm of subgrad 42.705230	 stepsize= 1.000000 
-dualbound = 1878264.245292, lowerbound=1087454.245292, norm of subgrad 1043.534496	dualbound = 1878264.245292, lowerbound=1087454.245292, norm of subgrad 42.646033	 stepsize= 1.000000 
-dualbound = 1878567.759677, lowerbound=1084434.759677, norm of subgrad 1042.128955	dualbound = 1878567.759677, lowerbound=1084434.759677, norm of subgrad 43.606357	 stepsize= 1.000000 
-dualbound = 1878848.577069, lowerbound=1088843.577069, norm of subgrad 1044.213856	dualbound = 1878848.577069, lowerbound=1088843.577069, norm of subgrad 42.659318	 stepsize= 1.000000 
-dualbound = 1879188.130148, lowerbound=1086419.130148, norm of subgrad 1043.044644	dualbound = 1879188.130148, lowerbound=1086419.130148, norm of subgrad 43.157306	 stepsize= 1.000000 
-dualbound = 1879482.413590, lowerbound=1086063.413590, norm of subgrad 1042.861646	dualbound = 1879482.413590, lowerbound=1086063.413590, norm of subgrad 42.323557	 stepsize= 1.000000 
-dualbound = 1879808.316881, lowerbound=1089537.316881, norm of subgrad 1044.555559	dualbound = 1879808.316881, lowerbound=1089537.316881, norm of subgrad 43.415473	 stepsize= 1.000000 
-dualbound = 1880082.886884, lowerbound=1083823.886884, norm of subgrad 1041.804150	dualbound = 1880082.886884, lowerbound=1083823.886884, norm of subgrad 42.503765	 stepsize= 1.000000 
-dualbound = 1880440.550962, lowerbound=1086354.550962, norm of subgrad 1043.016084	dualbound = 1880440.550962, lowerbound=1086354.550962, norm of subgrad 43.424234	 stepsize= 1.000000 
-dualbound = 1880720.136553, lowerbound=1086546.136553, norm of subgrad 1043.090186	dualbound = 1880720.136553, lowerbound=1086546.136553, norm of subgrad 42.078327	 stepsize= 1.000000 
-dualbound = 1881039.946959, lowerbound=1088542.946959, norm of subgrad 1044.080431	dualbound = 1881039.946959, lowerbound=1088542.946959, norm of subgrad 43.368311	 stepsize= 1.000000 
-dualbound = 1881328.961621, lowerbound=1086929.961621, norm of subgrad 1043.316329	dualbound = 1881328.961621, lowerbound=1086929.961621, norm of subgrad 43.220535	 stepsize= 1.000000 
-dualbound = 1881660.503788, lowerbound=1085614.503788, norm of subgrad 1042.642558	dualbound = 1881660.503788, lowerbound=1085614.503788, norm of subgrad 42.667812	 stepsize= 1.000000 
-dualbound = 1881968.959695, lowerbound=1088174.959695, norm of subgrad 1043.878326	dualbound = 1881968.959695, lowerbound=1088174.959695, norm of subgrad 42.608167	 stepsize= 1.000000 
-dualbound = 1882271.377993, lowerbound=1085729.377993, norm of subgrad 1042.739362	dualbound = 1882271.377993, lowerbound=1085729.377993, norm of subgrad 43.340723	 stepsize= 1.000000 
-dualbound = 1882568.548213, lowerbound=1088665.548213, norm of subgrad 1044.103706	dualbound = 1882568.548213, lowerbound=1088665.548213, norm of subgrad 42.239439	 stepsize= 1.000000 
-dualbound = 1882869.876414, lowerbound=1086673.876414, norm of subgrad 1043.180174	dualbound = 1882869.876414, lowerbound=1086673.876414, norm of subgrad 43.038683	 stepsize= 1.000000 
-dualbound = 1883193.661107, lowerbound=1086555.661107, norm of subgrad 1043.171444	dualbound = 1883193.661107, lowerbound=1086555.661107, norm of subgrad 44.438550	 stepsize= 1.000000 
-dualbound = 1883466.202838, lowerbound=1086033.202838, norm of subgrad 1042.880723	dualbound = 1883466.202838, lowerbound=1086033.202838, norm of subgrad 42.889879	 stepsize= 1.000000 
-dualbound = 1883794.250640, lowerbound=1088473.250640, norm of subgrad 1044.055674	dualbound = 1883794.250640, lowerbound=1088473.250640, norm of subgrad 43.669758	 stepsize= 1.000000 
-dualbound = 1884106.727184, lowerbound=1086307.727184, norm of subgrad 1042.996993	dualbound = 1884106.727184, lowerbound=1086307.727184, norm of subgrad 42.982282	 stepsize= 1.000000 
-dualbound = 1884436.332969, lowerbound=1089442.332969, norm of subgrad 1044.485200	dualbound = 1884436.332969, lowerbound=1089442.332969, norm of subgrad 42.855639	 stepsize= 1.000000 
-dualbound = 1884753.997186, lowerbound=1083057.997186, norm of subgrad 1041.435066	dualbound = 1884753.997186, lowerbound=1083057.997186, norm of subgrad 42.972831	 stepsize= 1.000000 
-dualbound = 1885011.854011, lowerbound=1087933.854011, norm of subgrad 1043.761876	dualbound = 1885011.854011, lowerbound=1087933.854011, norm of subgrad 41.986389	 stepsize= 1.000000 
-dualbound = 1885347.977311, lowerbound=1090013.977311, norm of subgrad 1044.787527	dualbound = 1885347.977311, lowerbound=1090013.977311, norm of subgrad 43.624801	 stepsize= 1.000000 
-dualbound = 1885620.600412, lowerbound=1088127.600412, norm of subgrad 1043.939941	dualbound = 1885620.600412, lowerbound=1088127.600412, norm of subgrad 44.222428	 stepsize= 1.000000 
-dualbound = 1885916.986771, lowerbound=1086585.986771, norm of subgrad 1043.143320	dualbound = 1885916.986771, lowerbound=1086585.986771, norm of subgrad 43.109006	 stepsize= 1.000000 
-dualbound = 1886254.501149, lowerbound=1086402.501149, norm of subgrad 1043.017019	dualbound = 1886254.501149, lowerbound=1086402.501149, norm of subgrad 42.655766	 stepsize= 1.000000 
-dualbound = 1886585.074827, lowerbound=1086142.074827, norm of subgrad 1042.897442	dualbound = 1886585.074827, lowerbound=1086142.074827, norm of subgrad 42.703322	 stepsize= 1.000000 
-dualbound = 1886893.845244, lowerbound=1092544.845244, norm of subgrad 1045.959772	dualbound = 1886893.845244, lowerbound=1092544.845244, norm of subgrad 42.376531	 stepsize= 1.000000 
-dualbound = 1887183.818995, lowerbound=1084885.818995, norm of subgrad 1042.314165	dualbound = 1887183.818995, lowerbound=1084885.818995, norm of subgrad 42.696297	 stepsize= 1.000000 
-dualbound = 1887471.266323, lowerbound=1090922.266323, norm of subgrad 1045.240770	dualbound = 1887471.266323, lowerbound=1090922.266323, norm of subgrad 43.513760	 stepsize= 1.000000 
-dualbound = 1887781.023381, lowerbound=1086727.023381, norm of subgrad 1043.183121	dualbound = 1887781.023381, lowerbound=1086727.023381, norm of subgrad 42.588227	 stepsize= 1.000000 
-dualbound = 1888092.545787, lowerbound=1087090.545787, norm of subgrad 1043.366928	dualbound = 1888092.545787, lowerbound=1087090.545787, norm of subgrad 42.842997	 stepsize= 1.000000 
-dualbound = 1888394.566174, lowerbound=1088054.566174, norm of subgrad 1043.837902	dualbound = 1888394.566174, lowerbound=1088054.566174, norm of subgrad 42.953701	 stepsize= 1.000000 
-dualbound = 1888712.385051, lowerbound=1089714.385051, norm of subgrad 1044.637921	dualbound = 1888712.385051, lowerbound=1089714.385051, norm of subgrad 43.264522	 stepsize= 1.000000 
-dualbound = 1888974.804441, lowerbound=1088839.804441, norm of subgrad 1044.240779	dualbound = 1888974.804441, lowerbound=1088839.804441, norm of subgrad 43.144170	 stepsize= 1.000000 
-dualbound = 1889296.834282, lowerbound=1085357.834282, norm of subgrad 1042.533853	dualbound = 1889296.834282, lowerbound=1085357.834282, norm of subgrad 42.907224	 stepsize= 1.000000 
-dualbound = 1889650.181085, lowerbound=1087756.181085, norm of subgrad 1043.676761	dualbound = 1889650.181085, lowerbound=1087756.181085, norm of subgrad 43.108547	 stepsize= 1.000000 
-dualbound = 1889928.308723, lowerbound=1087339.308723, norm of subgrad 1043.469362	dualbound = 1889928.308723, lowerbound=1087339.308723, norm of subgrad 42.037217	 stepsize= 1.000000 
-dualbound = 1890228.675384, lowerbound=1090237.675384, norm of subgrad 1044.926636	dualbound = 1890228.675384, lowerbound=1090237.675384, norm of subgrad 43.981435	 stepsize= 1.000000 
-dualbound = 1890521.825927, lowerbound=1090958.825927, norm of subgrad 1045.233862	dualbound = 1890521.825927, lowerbound=1090958.825927, norm of subgrad 42.990121	 stepsize= 1.000000 
-dualbound = 1890825.871805, lowerbound=1084743.871805, norm of subgrad 1042.263821	dualbound = 1890825.871805, lowerbound=1084743.871805, norm of subgrad 43.290252	 stepsize= 1.000000 
-dualbound = 1891150.642347, lowerbound=1091957.642347, norm of subgrad 1045.695769	dualbound = 1891150.642347, lowerbound=1091957.642347, norm of subgrad 42.974068	 stepsize= 1.000000 
-dualbound = 1891471.802435, lowerbound=1086283.802435, norm of subgrad 1042.951966	dualbound = 1891471.802435, lowerbound=1086283.802435, norm of subgrad 42.262987	 stepsize= 1.000000 
-dualbound = 1891772.640911, lowerbound=1089555.640911, norm of subgrad 1044.541833	dualbound = 1891772.640911, lowerbound=1089555.640911, norm of subgrad 42.577441	 stepsize= 1.000000 
-dualbound = 1892062.932310, lowerbound=1086460.932310, norm of subgrad 1043.053178	dualbound = 1892062.932310, lowerbound=1086460.932310, norm of subgrad 42.300017	 stepsize= 1.000000 
-dualbound = 1892362.329679, lowerbound=1088142.329679, norm of subgrad 1043.879461	dualbound = 1892362.329679, lowerbound=1088142.329679, norm of subgrad 42.911506	 stepsize= 1.000000 
-dualbound = 1892669.101390, lowerbound=1087460.101390, norm of subgrad 1043.563655	dualbound = 1892669.101390, lowerbound=1087460.101390, norm of subgrad 43.263977	 stepsize= 1.000000 
-dualbound = 1892964.522533, lowerbound=1090292.522533, norm of subgrad 1044.932784	dualbound = 1892964.522533, lowerbound=1090292.522533, norm of subgrad 43.444460	 stepsize= 1.000000 
-dualbound = 1893262.081924, lowerbound=1086980.081924, norm of subgrad 1043.346099	dualbound = 1893262.081924, lowerbound=1086980.081924, norm of subgrad 43.457559	 stepsize= 1.000000 
-dualbound = 1893578.741418, lowerbound=1091362.741418, norm of subgrad 1045.427540	dualbound = 1893578.741418, lowerbound=1091362.741418, norm of subgrad 43.274236	 stepsize= 1.000000 
-dualbound = 1893898.575680, lowerbound=1086695.575680, norm of subgrad 1043.186261	dualbound = 1893898.575680, lowerbound=1086695.575680, norm of subgrad 43.148978	 stepsize= 1.000000 
-dualbound = 1894186.658078, lowerbound=1085740.658078, norm of subgrad 1042.723673	dualbound = 1894186.658078, lowerbound=1085740.658078, norm of subgrad 42.662424	 stepsize= 1.000000 
-dualbound = 1894503.981142, lowerbound=1090422.981142, norm of subgrad 1044.994728	dualbound = 1894503.981142, lowerbound=1090422.981142, norm of subgrad 43.684357	 stepsize= 1.000000 
-dualbound = 1894782.333742, lowerbound=1090648.333742, norm of subgrad 1045.112115	dualbound = 1894782.333742, lowerbound=1090648.333742, norm of subgrad 43.466684	 stepsize= 1.000000 
-dualbound = 1895103.108612, lowerbound=1089136.108612, norm of subgrad 1044.357749	dualbound = 1895103.108612, lowerbound=1089136.108612, norm of subgrad 43.217761	 stepsize= 1.000000 
-dualbound = 1895414.132794, lowerbound=1085495.132794, norm of subgrad 1042.610729	dualbound = 1895414.132794, lowerbound=1085495.132794, norm of subgrad 43.046767	 stepsize= 1.000000 
-dualbound = 1895714.430326, lowerbound=1088774.430326, norm of subgrad 1044.201815	dualbound = 1895714.430326, lowerbound=1088774.430326, norm of subgrad 43.396976	 stepsize= 1.000000 
-dualbound = 1896016.400037, lowerbound=1092278.400037, norm of subgrad 1045.877813	dualbound = 1896016.400037, lowerbound=1092278.400037, norm of subgrad 43.404720	 stepsize= 1.000000 
-dualbound = 1896335.657662, lowerbound=1085706.657662, norm of subgrad 1042.722234	dualbound = 1896335.657662, lowerbound=1085706.657662, norm of subgrad 43.384993	 stepsize= 1.000000 
-dualbound = 1896611.142892, lowerbound=1090672.142892, norm of subgrad 1045.074707	dualbound = 1896611.142892, lowerbound=1090672.142892, norm of subgrad 42.243168	 stepsize= 1.000000 
-dualbound = 1896970.970419, lowerbound=1086019.970419, norm of subgrad 1042.859996	dualbound = 1896970.970419, lowerbound=1086019.970419, norm of subgrad 43.552583	 stepsize= 1.000000 
-dualbound = 1897232.203282, lowerbound=1090202.203282, norm of subgrad 1044.859418	dualbound = 1897232.203282, lowerbound=1090202.203282, norm of subgrad 42.311143	 stepsize= 1.000000 
-dualbound = 1897550.984148, lowerbound=1091067.984148, norm of subgrad 1045.286556	dualbound = 1897550.984148, lowerbound=1091067.984148, norm of subgrad 43.298740	 stepsize= 1.000000 
-dualbound = 1897849.302849, lowerbound=1088259.302849, norm of subgrad 1043.980988	dualbound = 1897849.302849, lowerbound=1088259.302849, norm of subgrad 43.992257	 stepsize= 1.000000 
-dualbound = 1898137.716519, lowerbound=1089936.716519, norm of subgrad 1044.779745	dualbound = 1898137.716519, lowerbound=1089936.716519, norm of subgrad 43.776862	 stepsize= 1.000000 
-dualbound = 1898432.368595, lowerbound=1087499.368595, norm of subgrad 1043.607382	dualbound = 1898432.368595, lowerbound=1087499.368595, norm of subgrad 43.722444	 stepsize= 1.000000 
-dualbound = 1898760.410772, lowerbound=1092166.410772, norm of subgrad 1045.797500	dualbound = 1898760.410772, lowerbound=1092166.410772, norm of subgrad 43.058590	 stepsize= 1.000000 
-dualbound = 1899068.486862, lowerbound=1086628.486862, norm of subgrad 1043.163212	dualbound = 1899068.486862, lowerbound=1086628.486862, norm of subgrad 43.232813	 stepsize= 1.000000 
-dualbound = 1899339.611505, lowerbound=1090548.611505, norm of subgrad 1045.059621	dualbound = 1899339.611505, lowerbound=1090548.611505, norm of subgrad 43.268056	 stepsize= 1.000000 
-dualbound = 1899668.129745, lowerbound=1090821.129745, norm of subgrad 1045.165599	dualbound = 1899668.129745, lowerbound=1090821.129745, norm of subgrad 43.341876	 stepsize= 1.000000 
-dualbound = 1899995.045355, lowerbound=1086824.045355, norm of subgrad 1043.230102	dualbound = 1899995.045355, lowerbound=1086824.045355, norm of subgrad 42.800883	 stepsize= 1.000000 
-dualbound = 1900284.819835, lowerbound=1089683.819835, norm of subgrad 1044.604145	dualbound = 1900284.819835, lowerbound=1089683.819835, norm of subgrad 42.470866	 stepsize= 1.000000 
-dualbound = 1900612.460508, lowerbound=1088845.460508, norm of subgrad 1044.214279	dualbound = 1900612.460508, lowerbound=1088845.460508, norm of subgrad 43.193063	 stepsize= 1.000000 
-dualbound = 1900880.316801, lowerbound=1089663.316801, norm of subgrad 1044.595767	dualbound = 1900880.316801, lowerbound=1089663.316801, norm of subgrad 42.247560	 stepsize= 1.000000 
-dualbound = 1901215.035422, lowerbound=1089864.035422, norm of subgrad 1044.688487	dualbound = 1901215.035422, lowerbound=1089864.035422, norm of subgrad 42.950188	 stepsize= 1.000000 
-dualbound = 1901479.212794, lowerbound=1087713.212794, norm of subgrad 1043.693544	dualbound = 1901479.212794, lowerbound=1087713.212794, norm of subgrad 42.978801	 stepsize= 1.000000 
-dualbound = 1901811.704090, lowerbound=1090195.704090, norm of subgrad 1044.870664	dualbound = 1901811.704090, lowerbound=1090195.704090, norm of subgrad 43.491278	 stepsize= 1.000000 
-dualbound = 1902088.759972, lowerbound=1090104.759972, norm of subgrad 1044.838150	dualbound = 1902088.759972, lowerbound=1090104.759972, norm of subgrad 43.116770	 stepsize= 1.000000 
-dualbound = 1902417.570279, lowerbound=1088144.570279, norm of subgrad 1043.867602	dualbound = 1902417.570279, lowerbound=1088144.570279, norm of subgrad 42.939612	 stepsize= 1.000000 
-dualbound = 1902718.953986, lowerbound=1088068.953986, norm of subgrad 1043.827550	dualbound = 1902718.953986, lowerbound=1088068.953986, norm of subgrad 42.525095	 stepsize= 1.000000 
-dualbound = 1903023.680883, lowerbound=1087210.680883, norm of subgrad 1043.391432	dualbound = 1903023.680883, lowerbound=1087210.680883, norm of subgrad 41.949099	 stepsize= 1.000000 
-dualbound = 1903326.833369, lowerbound=1090931.833369, norm of subgrad 1045.180287	dualbound = 1903326.833369, lowerbound=1090931.833369, norm of subgrad 42.108817	 stepsize= 1.000000 
-dualbound = 1903633.236730, lowerbound=1089726.236730, norm of subgrad 1044.649815	dualbound = 1903633.236730, lowerbound=1089726.236730, norm of subgrad 43.282830	 stepsize= 1.000000 
-dualbound = 1903914.333567, lowerbound=1089184.333567, norm of subgrad 1044.392806	dualbound = 1903914.333567, lowerbound=1089184.333567, norm of subgrad 43.047611	 stepsize= 1.000000 
-dualbound = 1904222.861946, lowerbound=1092790.861946, norm of subgrad 1046.105569	dualbound = 1904222.861946, lowerbound=1092790.861946, norm of subgrad 43.064235	 stepsize= 1.000000 
-dualbound = 1904536.193437, lowerbound=1086961.193437, norm of subgrad 1043.323149	dualbound = 1904536.193437, lowerbound=1086961.193437, norm of subgrad 43.305098	 stepsize= 1.000000 
-dualbound = 1904846.261212, lowerbound=1089691.261212, norm of subgrad 1044.602920	dualbound = 1904846.261212, lowerbound=1089691.261212, norm of subgrad 42.591875	 stepsize= 1.000000 
-dualbound = 1905159.189150, lowerbound=1087755.189150, norm of subgrad 1043.688742	dualbound = 1905159.189150, lowerbound=1087755.189150, norm of subgrad 42.940982	 stepsize= 1.000000 
-dualbound = 1905456.038101, lowerbound=1088425.038101, norm of subgrad 1044.023964	dualbound = 1905456.038101, lowerbound=1088425.038101, norm of subgrad 43.102772	 stepsize= 1.000000 
-dualbound = 1905728.089112, lowerbound=1092879.089112, norm of subgrad 1046.157774	dualbound = 1905728.089112, lowerbound=1092879.089112, norm of subgrad 42.884158	 stepsize= 1.000000 
-dualbound = 1906067.778800, lowerbound=1088029.778800, norm of subgrad 1043.781001	dualbound = 1906067.778800, lowerbound=1088029.778800, norm of subgrad 42.292904	 stepsize= 1.000000 
-dualbound = 1906377.931051, lowerbound=1087016.931051, norm of subgrad 1043.323503	dualbound = 1906377.931051, lowerbound=1087016.931051, norm of subgrad 42.628069	 stepsize= 1.000000 
-dualbound = 1906637.991149, lowerbound=1093411.991149, norm of subgrad 1046.394281	dualbound = 1906637.991149, lowerbound=1093411.991149, norm of subgrad 42.297282	 stepsize= 1.000000 
-dualbound = 1906966.347748, lowerbound=1091609.347748, norm of subgrad 1045.549783	dualbound = 1906966.347748, lowerbound=1091609.347748, norm of subgrad 43.512718	 stepsize= 1.000000 
-dualbound = 1907244.354937, lowerbound=1090301.354937, norm of subgrad 1044.972897	dualbound = 1907244.354937, lowerbound=1090301.354937, norm of subgrad 44.102236	 stepsize= 1.000000 
-dualbound = 1907537.800005, lowerbound=1091507.800005, norm of subgrad 1045.487829	dualbound = 1907537.800005, lowerbound=1091507.800005, norm of subgrad 42.783701	 stepsize= 1.000000 
-dualbound = 1907899.776260, lowerbound=1090778.776260, norm of subgrad 1045.114719	dualbound = 1907899.776260, lowerbound=1090778.776260, norm of subgrad 42.988094	 stepsize= 1.000000 
-dualbound = 1908168.511376, lowerbound=1092002.511376, norm of subgrad 1045.724874	dualbound = 1908168.511376, lowerbound=1092002.511376, norm of subgrad 42.505707	 stepsize= 1.000000 
-dualbound = 1908463.401723, lowerbound=1092352.401723, norm of subgrad 1045.881638	dualbound = 1908463.401723, lowerbound=1092352.401723, norm of subgrad 42.554557	 stepsize= 1.000000 
-dualbound = 1908767.068109, lowerbound=1088488.068109, norm of subgrad 1044.042177	dualbound = 1908767.068109, lowerbound=1088488.068109, norm of subgrad 42.891332	 stepsize= 1.000000 
-dualbound = 1909096.999898, lowerbound=1087940.999898, norm of subgrad 1043.754760	dualbound = 1909096.999898, lowerbound=1087940.999898, norm of subgrad 42.578537	 stepsize= 1.000000 
-dualbound = 1909358.406000, lowerbound=1091908.406000, norm of subgrad 1045.684659	dualbound = 1909358.406000, lowerbound=1091908.406000, norm of subgrad 42.537114	 stepsize= 1.000000 
-dualbound = 1909652.731691, lowerbound=1092134.731691, norm of subgrad 1045.779963	dualbound = 1909652.731691, lowerbound=1092134.731691, norm of subgrad 42.606639	 stepsize= 1.000000 
-dualbound = 1909954.955759, lowerbound=1091441.955759, norm of subgrad 1045.430034	dualbound = 1909954.955759, lowerbound=1091441.955759, norm of subgrad 42.240077	 stepsize= 1.000000 
-dualbound = 1910280.441461, lowerbound=1091814.441461, norm of subgrad 1045.635903	dualbound = 1910280.441461, lowerbound=1091814.441461, norm of subgrad 43.191269	 stepsize= 1.000000 
-dualbound = 1910532.689183, lowerbound=1092454.689183, norm of subgrad 1045.971648	dualbound = 1910532.689183, lowerbound=1092454.689183, norm of subgrad 43.060977	 stepsize= 1.000000 
-dualbound = 1910860.021421, lowerbound=1088367.021421, norm of subgrad 1044.002405	dualbound = 1910860.021421, lowerbound=1088367.021421, norm of subgrad 43.604269	 stepsize= 1.000000 
-dualbound = 1911136.708248, lowerbound=1094804.708248, norm of subgrad 1047.075312	dualbound = 1911136.708248, lowerbound=1094804.708248, norm of subgrad 42.879912	 stepsize= 1.000000 
-dualbound = 1911470.119761, lowerbound=1090267.119761, norm of subgrad 1044.867034	dualbound = 1911470.119761, lowerbound=1090267.119761, norm of subgrad 42.584170	 stepsize= 1.000000 
-dualbound = 1911760.251833, lowerbound=1095062.251833, norm of subgrad 1047.188260	dualbound = 1911760.251833, lowerbound=1095062.251833, norm of subgrad 42.791729	 stepsize= 1.000000 
-dualbound = 1912072.634079, lowerbound=1086279.634079, norm of subgrad 1042.958117	dualbound = 1912072.634079, lowerbound=1086279.634079, norm of subgrad 42.360149	 stepsize= 1.000000 
-dualbound = 1912372.640432, lowerbound=1091653.640432, norm of subgrad 1045.570964	dualbound = 1912372.640432, lowerbound=1091653.640432, norm of subgrad 43.185719	 stepsize= 1.000000 
-dualbound = 1912630.746694, lowerbound=1090596.746694, norm of subgrad 1045.101788	dualbound = 1912630.746694, lowerbound=1090596.746694, norm of subgrad 43.578736	 stepsize= 1.000000 
-dualbound = 1912935.120641, lowerbound=1091461.120641, norm of subgrad 1045.491808	dualbound = 1912935.120641, lowerbound=1091461.120641, norm of subgrad 43.547376	 stepsize= 1.000000 
-dualbound = 1913267.640976, lowerbound=1095473.640976, norm of subgrad 1047.349818	dualbound = 1913267.640976, lowerbound=1095473.640976, norm of subgrad 42.432539	 stepsize= 1.000000 
-dualbound = 1913582.008669, lowerbound=1088509.008669, norm of subgrad 1044.040233	dualbound = 1913582.008669, lowerbound=1088509.008669, norm of subgrad 42.724322	 stepsize= 1.000000 
-dualbound = 1913863.352653, lowerbound=1088937.352653, norm of subgrad 1044.251097	dualbound = 1913863.352653, lowerbound=1088937.352653, norm of subgrad 42.477570	 stepsize= 1.000000 
-dualbound = 1914148.552194, lowerbound=1092676.552194, norm of subgrad 1046.039938	dualbound = 1914148.552194, lowerbound=1092676.552194, norm of subgrad 42.522930	 stepsize= 1.000000 
-dualbound = 1914469.987722, lowerbound=1092190.987722, norm of subgrad 1045.787257	dualbound = 1914469.987722, lowerbound=1092190.987722, norm of subgrad 42.443321	 stepsize= 1.000000 
-dualbound = 1914770.296615, lowerbound=1092905.296615, norm of subgrad 1046.155006	dualbound = 1914770.296615, lowerbound=1092905.296615, norm of subgrad 42.840505	 stepsize= 1.000000 
-dualbound = 1915038.412250, lowerbound=1090585.412250, norm of subgrad 1045.073400	dualbound = 1915038.412250, lowerbound=1090585.412250, norm of subgrad 43.140649	 stepsize= 1.000000 
-dualbound = 1915369.650494, lowerbound=1090971.650494, norm of subgrad 1045.220384	dualbound = 1915369.650494, lowerbound=1090971.650494, norm of subgrad 42.956236	 stepsize= 1.000000 
-dualbound = 1915666.793277, lowerbound=1091832.793277, norm of subgrad 1045.663327	dualbound = 1915666.793277, lowerbound=1091832.793277, norm of subgrad 43.314464	 stepsize= 1.000000 
-dualbound = 1915952.936544, lowerbound=1093135.936544, norm of subgrad 1046.270967	dualbound = 1915952.936544, lowerbound=1093135.936544, norm of subgrad 42.815222	 stepsize= 1.000000 
-dualbound = 1916256.044718, lowerbound=1088915.044718, norm of subgrad 1044.243767	dualbound = 1916256.044718, lowerbound=1088915.044718, norm of subgrad 42.814813	 stepsize= 1.000000 
-dualbound = 1916547.107723, lowerbound=1091334.107723, norm of subgrad 1045.380365	dualbound = 1916547.107723, lowerbound=1091334.107723, norm of subgrad 42.155225	 stepsize= 1.000000 
-dualbound = 1916879.426626, lowerbound=1092970.426626, norm of subgrad 1046.159848	dualbound = 1916879.426626, lowerbound=1092970.426626, norm of subgrad 42.571339	 stepsize= 1.000000 
-dualbound = 1917142.976281, lowerbound=1090990.976281, norm of subgrad 1045.255460	dualbound = 1917142.976281, lowerbound=1090990.976281, norm of subgrad 42.796608	 stepsize= 1.000000 
-dualbound = 1917442.319413, lowerbound=1091839.319413, norm of subgrad 1045.650668	dualbound = 1917442.319413, lowerbound=1091839.319413, norm of subgrad 42.957457	 stepsize= 1.000000 
-dualbound = 1917728.461487, lowerbound=1092241.461487, norm of subgrad 1045.825732	dualbound = 1917728.461487, lowerbound=1092241.461487, norm of subgrad 42.380916	 stepsize= 1.000000 
-dualbound = 1918076.634460, lowerbound=1088644.634460, norm of subgrad 1044.114761	dualbound = 1918076.634460, lowerbound=1088644.634460, norm of subgrad 43.349429	 stepsize= 1.000000 
-dualbound = 1918337.582701, lowerbound=1093523.582701, norm of subgrad 1046.436134	dualbound = 1918337.582701, lowerbound=1093523.582701, norm of subgrad 42.023187	 stepsize= 1.000000 
-dualbound = 1918634.003353, lowerbound=1092579.003353, norm of subgrad 1046.016732	dualbound = 1918634.003353, lowerbound=1092579.003353, norm of subgrad 43.225232	 stepsize= 1.000000 
-dualbound = 1918949.402314, lowerbound=1091883.402314, norm of subgrad 1045.651664	dualbound = 1918949.402314, lowerbound=1091883.402314, norm of subgrad 42.654413	 stepsize= 1.000000 
-dualbound = 1919253.886626, lowerbound=1092415.886626, norm of subgrad 1045.902427	dualbound = 1919253.886626, lowerbound=1092415.886626, norm of subgrad 42.432114	 stepsize= 1.000000 
-dualbound = 1919545.641576, lowerbound=1086835.641576, norm of subgrad 1043.264895	dualbound = 1919545.641576, lowerbound=1086835.641576, norm of subgrad 43.101682	 stepsize= 1.000000 
-dualbound = 1919829.196296, lowerbound=1095102.196296, norm of subgrad 1047.252212	dualbound = 1919829.196296, lowerbound=1095102.196296, norm of subgrad 43.801310	 stepsize= 1.000000 
-dualbound = 1920115.813967, lowerbound=1092113.813967, norm of subgrad 1045.800561	dualbound = 1920115.813967, lowerbound=1092113.813967, norm of subgrad 43.262197	 stepsize= 1.000000 
-dualbound = 1920447.026478, lowerbound=1090627.026478, norm of subgrad 1045.059820	dualbound = 1920447.026478, lowerbound=1090627.026478, norm of subgrad 43.060568	 stepsize= 1.000000 
-dualbound = 1920731.603180, lowerbound=1092325.603180, norm of subgrad 1045.916155	dualbound = 1920731.603180, lowerbound=1092325.603180, norm of subgrad 43.584134	 stepsize= 1.000000 
-dualbound = 1921028.748231, lowerbound=1089955.748231, norm of subgrad 1044.773539	dualbound = 1921028.748231, lowerbound=1089955.748231, norm of subgrad 43.510287	 stepsize= 1.000000 
-dualbound = 1921308.434150, lowerbound=1092547.434150, norm of subgrad 1045.983955	dualbound = 1921308.434150, lowerbound=1092547.434150, norm of subgrad 42.599130	 stepsize= 1.000000 
-dualbound = 1921644.320999, lowerbound=1091232.320999, norm of subgrad 1045.340290	dualbound = 1921644.320999, lowerbound=1091232.320999, norm of subgrad 42.893902	 stepsize= 1.000000 
-dualbound = 1921939.974103, lowerbound=1093272.974103, norm of subgrad 1046.315906	dualbound = 1921939.974103, lowerbound=1093272.974103, norm of subgrad 42.422318	 stepsize= 1.000000 
-dualbound = 1922236.988381, lowerbound=1092621.988381, norm of subgrad 1046.017681	dualbound = 1922236.988381, lowerbound=1092621.988381, norm of subgrad 42.755284	 stepsize= 1.000000 
-dualbound = 1922520.600636, lowerbound=1091297.600636, norm of subgrad 1045.382992	dualbound = 1922520.600636, lowerbound=1091297.600636, norm of subgrad 42.563039	 stepsize= 1.000000 
-dualbound = 1922834.188053, lowerbound=1093445.188053, norm of subgrad 1046.372395	dualbound = 1922834.188053, lowerbound=1093445.188053, norm of subgrad 41.995088	 stepsize= 1.000000 
-dualbound = 1923160.797689, lowerbound=1092514.797689, norm of subgrad 1045.948277	dualbound = 1923160.797689, lowerbound=1092514.797689, norm of subgrad 42.656883	 stepsize= 1.000000 
-dualbound = 1923399.716747, lowerbound=1091125.716747, norm of subgrad 1045.337131	dualbound = 1923399.716747, lowerbound=1091125.716747, norm of subgrad 42.929233	 stepsize= 1.000000 
-dualbound = 1923705.737288, lowerbound=1091895.737288, norm of subgrad 1045.677167	dualbound = 1923705.737288, lowerbound=1091895.737288, norm of subgrad 43.023488	 stepsize= 1.000000 
-dualbound = 1924034.792480, lowerbound=1094915.792480, norm of subgrad 1047.101615	dualbound = 1924034.792480, lowerbound=1094915.792480, norm of subgrad 42.837544	 stepsize= 1.000000 
-dualbound = 1924332.661376, lowerbound=1095127.661376, norm of subgrad 1047.220923	dualbound = 1924332.661376, lowerbound=1095127.661376, norm of subgrad 42.917000	 stepsize= 1.000000 
-dualbound = 1924586.884820, lowerbound=1091785.884820, norm of subgrad 1045.647113	dualbound = 1924586.884820, lowerbound=1091785.884820, norm of subgrad 42.967702	 stepsize= 1.000000 
-dualbound = 1924908.815110, lowerbound=1089093.815110, norm of subgrad 1044.323137	dualbound = 1924908.815110, lowerbound=1089093.815110, norm of subgrad 42.882750	 stepsize= 1.000000 
-dualbound = 1925199.062207, lowerbound=1093536.062207, norm of subgrad 1046.473154	dualbound = 1925199.062207, lowerbound=1093536.062207, norm of subgrad 43.130582	 stepsize= 1.000000 
-dualbound = 1925512.236188, lowerbound=1094233.236188, norm of subgrad 1046.802386	dualbound = 1925512.236188, lowerbound=1094233.236188, norm of subgrad 43.303279	 stepsize= 1.000000 
-dualbound = 1925792.987795, lowerbound=1093979.987795, norm of subgrad 1046.678550	dualbound = 1925792.987795, lowerbound=1093979.987795, norm of subgrad 42.857340	 stepsize= 1.000000 
-dualbound = 1926094.592173, lowerbound=1092224.592173, norm of subgrad 1045.846830	dualbound = 1926094.592173, lowerbound=1092224.592173, norm of subgrad 43.273599	 stepsize= 1.000000 
-dualbound = 1926382.206401, lowerbound=1090566.206401, norm of subgrad 1045.059427	dualbound = 1926382.206401, lowerbound=1090566.206401, norm of subgrad 43.250598	 stepsize= 1.000000 
-dualbound = 1926697.405820, lowerbound=1090615.405820, norm of subgrad 1045.092056	dualbound = 1926697.405820, lowerbound=1090615.405820, norm of subgrad 43.785836	 stepsize= 1.000000 
-dualbound = 1926974.493703, lowerbound=1093333.493703, norm of subgrad 1046.372541	dualbound = 1926974.493703, lowerbound=1093333.493703, norm of subgrad 42.884588	 stepsize= 1.000000 
-dualbound = 1927285.387616, lowerbound=1091781.387616, norm of subgrad 1045.609099	dualbound = 1927285.387616, lowerbound=1091781.387616, norm of subgrad 42.753876	 stepsize= 1.000000 
-dualbound = 1927613.216722, lowerbound=1094615.216722, norm of subgrad 1046.956645	dualbound = 1927613.216722, lowerbound=1094615.216722, norm of subgrad 42.788189	 stepsize= 1.000000 
-dualbound = 1927868.095888, lowerbound=1094145.095888, norm of subgrad 1046.768884	dualbound = 1927868.095888, lowerbound=1094145.095888, norm of subgrad 42.835490	 stepsize= 1.000000 
-dualbound = 1928198.473373, lowerbound=1093577.473373, norm of subgrad 1046.441338	dualbound = 1928198.473373, lowerbound=1093577.473373, norm of subgrad 42.336479	 stepsize= 1.000000 
-dualbound = 1928516.767954, lowerbound=1091894.767954, norm of subgrad 1045.646101	dualbound = 1928516.767954, lowerbound=1091894.767954, norm of subgrad 42.418093	 stepsize= 1.000000 
-dualbound = 1928806.091587, lowerbound=1090016.091587, norm of subgrad 1044.787582	dualbound = 1928806.091587, lowerbound=1090016.091587, norm of subgrad 43.061858	 stepsize= 1.000000 
-dualbound = 1929078.029226, lowerbound=1091949.029226, norm of subgrad 1045.700258	dualbound = 1929078.029226, lowerbound=1091949.029226, norm of subgrad 42.566861	 stepsize= 1.000000 
-dualbound = 1929386.270979, lowerbound=1094516.270979, norm of subgrad 1046.906524	dualbound = 1929386.270979, lowerbound=1094516.270979, norm of subgrad 42.488137	 stepsize= 1.000000 
-dualbound = 1929701.104749, lowerbound=1092733.104749, norm of subgrad 1046.067925	dualbound = 1929701.104749, lowerbound=1092733.104749, norm of subgrad 42.893284	 stepsize= 1.000000 
-dualbound = 1929990.952255, lowerbound=1093547.952255, norm of subgrad 1046.479313	dualbound = 1929990.952255, lowerbound=1093547.952255, norm of subgrad 43.137542	 stepsize= 1.000000 
-dualbound = 1930241.645871, lowerbound=1089865.645871, norm of subgrad 1044.730896	dualbound = 1930241.645871, lowerbound=1089865.645871, norm of subgrad 42.984807	 stepsize= 1.000000 
-dualbound = 1930553.330054, lowerbound=1093458.330054, norm of subgrad 1046.434580	dualbound = 1930553.330054, lowerbound=1093458.330054, norm of subgrad 43.343791	 stepsize= 1.000000 
-dualbound = 1930842.654907, lowerbound=1096313.654907, norm of subgrad 1047.797049	dualbound = 1930842.654907, lowerbound=1096313.654907, norm of subgrad 43.061872	 stepsize= 1.000000 
-dualbound = 1931158.290718, lowerbound=1094600.290718, norm of subgrad 1046.950472	dualbound = 1931158.290718, lowerbound=1094600.290718, norm of subgrad 42.668909	 stepsize= 1.000000 
-dualbound = 1931455.772761, lowerbound=1093996.772761, norm of subgrad 1046.666027	dualbound = 1931455.772761, lowerbound=1093996.772761, norm of subgrad 42.549760	 stepsize= 1.000000 
-dualbound = 1931760.363979, lowerbound=1091037.363979, norm of subgrad 1045.272866	dualbound = 1931760.363979, lowerbound=1091037.363979, norm of subgrad 43.157748	 stepsize= 1.000000 
-dualbound = 1932044.462079, lowerbound=1093270.462079, norm of subgrad 1046.327607	dualbound = 1932044.462079, lowerbound=1093270.462079, norm of subgrad 42.603968	 stepsize= 1.000000 
-dualbound = 1932369.418825, lowerbound=1093794.418825, norm of subgrad 1046.537825	dualbound = 1932369.418825, lowerbound=1093794.418825, norm of subgrad 42.094617	 stepsize= 1.000000 
-dualbound = 1932661.270471, lowerbound=1094365.270471, norm of subgrad 1046.868793	dualbound = 1932661.270471, lowerbound=1094365.270471, norm of subgrad 43.137590	 stepsize= 1.000000 
-dualbound = 1932924.623411, lowerbound=1092685.623411, norm of subgrad 1046.069607	dualbound = 1932924.623411, lowerbound=1092685.623411, norm of subgrad 42.887678	 stepsize= 1.000000 
-dualbound = 1933232.220361, lowerbound=1094000.220361, norm of subgrad 1046.700636	dualbound = 1933232.220361, lowerbound=1094000.220361, norm of subgrad 43.469494	 stepsize= 1.000000 
-dualbound = 1933517.909624, lowerbound=1093343.909624, norm of subgrad 1046.376562	dualbound = 1933517.909624, lowerbound=1093343.909624, norm of subgrad 42.961486	 stepsize= 1.000000 
-dualbound = 1933834.603808, lowerbound=1093990.603808, norm of subgrad 1046.665469	dualbound = 1933834.603808, lowerbound=1093990.603808, norm of subgrad 42.833330	 stepsize= 1.000000 
-dualbound = 1934132.392017, lowerbound=1092660.392017, norm of subgrad 1046.045597	dualbound = 1934132.392017, lowerbound=1092660.392017, norm of subgrad 42.997537	 stepsize= 1.000000 
-dualbound = 1934417.485309, lowerbound=1094431.485309, norm of subgrad 1046.912358	dualbound = 1934417.485309, lowerbound=1094431.485309, norm of subgrad 43.348510	 stepsize= 1.000000 
-dualbound = 1934698.164896, lowerbound=1092805.164896, norm of subgrad 1046.132958	dualbound = 1934698.164896, lowerbound=1092805.164896, norm of subgrad 43.239792	 stepsize= 1.000000 
-dualbound = 1935014.404588, lowerbound=1093365.404588, norm of subgrad 1046.386833	dualbound = 1935014.404588, lowerbound=1093365.404588, norm of subgrad 43.315583	 stepsize= 1.000000 
-dualbound = 1935302.913866, lowerbound=1093574.913866, norm of subgrad 1046.476906	dualbound = 1935302.913866, lowerbound=1093574.913866, norm of subgrad 42.749378	 stepsize= 1.000000 
-dualbound = 1935620.925619, lowerbound=1095307.925619, norm of subgrad 1047.328471	dualbound = 1935620.925619, lowerbound=1095307.925619, norm of subgrad 43.669346	 stepsize= 1.000000 
-dualbound = 1935879.914216, lowerbound=1093125.914216, norm of subgrad 1046.270001	dualbound = 1935879.914216, lowerbound=1093125.914216, norm of subgrad 42.590945	 stepsize= 1.000000 
-dualbound = 1936193.987688, lowerbound=1095113.987688, norm of subgrad 1047.215827	dualbound = 1936193.987688, lowerbound=1095113.987688, norm of subgrad 43.140161	 stepsize= 1.000000 
-dualbound = 1936496.143265, lowerbound=1092125.143265, norm of subgrad 1045.779204	dualbound = 1936496.143265, lowerbound=1092125.143265, norm of subgrad 42.792004	 stepsize= 1.000000 
-dualbound = 1936783.544898, lowerbound=1097226.544898, norm of subgrad 1048.222565	dualbound = 1936783.544898, lowerbound=1097226.544898, norm of subgrad 42.794879	 stepsize= 1.000000 
-dualbound = 1937076.153492, lowerbound=1092579.153492, norm of subgrad 1045.974738	dualbound = 1937076.153492, lowerbound=1092579.153492, norm of subgrad 42.149835	 stepsize= 1.000000 
-dualbound = 1937393.000538, lowerbound=1091276.000538, norm of subgrad 1045.395141	dualbound = 1937393.000538, lowerbound=1091276.000538, norm of subgrad 43.495368	 stepsize= 1.000000 
-dualbound = 1937641.392201, lowerbound=1096603.392201, norm of subgrad 1047.930528	dualbound = 1937641.392201, lowerbound=1096603.392201, norm of subgrad 42.466359	 stepsize= 1.000000 
-dualbound = 1937968.321828, lowerbound=1093758.321828, norm of subgrad 1046.554500	dualbound = 1937968.321828, lowerbound=1093758.321828, norm of subgrad 42.952644	 stepsize= 1.000000 
-dualbound = 1938268.457139, lowerbound=1092877.457139, norm of subgrad 1046.115891	dualbound = 1938268.457139, lowerbound=1092877.457139, norm of subgrad 42.203499	 stepsize= 1.000000 
-dualbound = 1938573.335916, lowerbound=1094098.335916, norm of subgrad 1046.709289	dualbound = 1938573.335916, lowerbound=1094098.335916, norm of subgrad 42.507397	 stepsize= 1.000000 
-dualbound = 1938848.438593, lowerbound=1094611.438593, norm of subgrad 1046.969168	dualbound = 1938848.438593, lowerbound=1094611.438593, norm of subgrad 42.521791	 stepsize= 1.000000 
-dualbound = 1939124.002279, lowerbound=1096031.002279, norm of subgrad 1047.695090	dualbound = 1939124.002279, lowerbound=1096031.002279, norm of subgrad 43.698555	 stepsize= 1.000000 
-dualbound = 1939407.455897, lowerbound=1094257.455897, norm of subgrad 1046.832105	dualbound = 1939407.455897, lowerbound=1094257.455897, norm of subgrad 43.398774	 stepsize= 1.000000 
-dualbound = 1939719.505515, lowerbound=1090270.505515, norm of subgrad 1044.889710	dualbound = 1939719.505515, lowerbound=1090270.505515, norm of subgrad 42.849150	 stepsize= 1.000000 
-dualbound = 1940039.495639, lowerbound=1095894.495639, norm of subgrad 1047.564077	dualbound = 1940039.495639, lowerbound=1095894.495639, norm of subgrad 42.614436	 stepsize= 1.000000 
-dualbound = 1940322.681036, lowerbound=1094341.681036, norm of subgrad 1046.856571	dualbound = 1940322.681036, lowerbound=1094341.681036, norm of subgrad 43.013781	 stepsize= 1.000000 
-dualbound = 1940614.433055, lowerbound=1095465.433055, norm of subgrad 1047.366905	dualbound = 1940614.433055, lowerbound=1095465.433055, norm of subgrad 42.470602	 stepsize= 1.000000 
-dualbound = 1940903.406837, lowerbound=1089044.406837, norm of subgrad 1044.291821	dualbound = 1940903.406837, lowerbound=1089044.406837, norm of subgrad 42.308082	 stepsize= 1.000000 
-dualbound = 1941195.218131, lowerbound=1094732.218131, norm of subgrad 1047.022071	dualbound = 1941195.218131, lowerbound=1094732.218131, norm of subgrad 42.600602	 stepsize= 1.000000 
-dualbound = 1941496.803705, lowerbound=1096624.803705, norm of subgrad 1047.932156	dualbound = 1941496.803705, lowerbound=1096624.803705, norm of subgrad 42.878731	 stepsize= 1.000000 
-dualbound = 1941783.708827, lowerbound=1096423.708827, norm of subgrad 1047.821411	dualbound = 1941783.708827, lowerbound=1096423.708827, norm of subgrad 42.342710	 stepsize= 1.000000 
-dualbound = 1942084.060122, lowerbound=1090108.060122, norm of subgrad 1044.830159	dualbound = 1942084.060122, lowerbound=1090108.060122, norm of subgrad 43.154968	 stepsize= 1.000000 
-dualbound = 1942368.586741, lowerbound=1096432.586741, norm of subgrad 1047.823738	dualbound = 1942368.586741, lowerbound=1096432.586741, norm of subgrad 42.267323	 stepsize= 1.000000 
-dualbound = 1942687.163614, lowerbound=1094386.163614, norm of subgrad 1046.848682	dualbound = 1942687.163614, lowerbound=1094386.163614, norm of subgrad 42.715066	 stepsize= 1.000000 
-dualbound = 1942968.233724, lowerbound=1096248.233724, norm of subgrad 1047.751513	dualbound = 1942968.233724, lowerbound=1096248.233724, norm of subgrad 42.615374	 stepsize= 1.000000 
-dualbound = 1943243.598701, lowerbound=1094123.598701, norm of subgrad 1046.757182	dualbound = 1943243.598701, lowerbound=1094123.598701, norm of subgrad 43.039110	 stepsize= 1.000000 
-dualbound = 1943553.821918, lowerbound=1092699.821918, norm of subgrad 1046.044369	dualbound = 1943553.821918, lowerbound=1092699.821918, norm of subgrad 42.652353	 stepsize= 1.000000 
-dualbound = 1943852.057299, lowerbound=1096912.057299, norm of subgrad 1048.056324	dualbound = 1943852.057299, lowerbound=1096912.057299, norm of subgrad 42.523351	 stepsize= 1.000000 
-dualbound = 1944145.566999, lowerbound=1094917.566999, norm of subgrad 1047.120608	dualbound = 1944145.566999, lowerbound=1094917.566999, norm of subgrad 42.866184	 stepsize= 1.000000 
-dualbound = 1944432.923614, lowerbound=1092634.923614, norm of subgrad 1046.025776	dualbound = 1944432.923614, lowerbound=1092634.923614, norm of subgrad 42.689069	 stepsize= 1.000000 
-dualbound = 1944712.003859, lowerbound=1093376.003859, norm of subgrad 1046.400977	dualbound = 1944712.003859, lowerbound=1093376.003859, norm of subgrad 43.105455	 stepsize= 1.000000 
-dualbound = 1945020.325602, lowerbound=1095458.325602, norm of subgrad 1047.380698	dualbound = 1945020.325602, lowerbound=1095458.325602, norm of subgrad 43.085052	 stepsize= 1.000000 
-dualbound = 1945301.370488, lowerbound=1101168.370488, norm of subgrad 1050.122074	dualbound = 1945301.370488, lowerbound=1101168.370488, norm of subgrad 43.232452	 stepsize= 1.000000 
-dualbound = 1945588.192442, lowerbound=1092379.192442, norm of subgrad 1045.905919	dualbound = 1945588.192442, lowerbound=1092379.192442, norm of subgrad 42.741338	 stepsize= 1.000000 
-dualbound = 1945881.854760, lowerbound=1092459.854760, norm of subgrad 1045.954518	dualbound = 1945881.854760, lowerbound=1092459.854760, norm of subgrad 43.065791	 stepsize= 1.000000 
-dualbound = 1946185.180521, lowerbound=1091083.180521, norm of subgrad 1045.278040	dualbound = 1946185.180521, lowerbound=1091083.180521, norm of subgrad 42.735533	 stepsize= 1.000000 
-dualbound = 1946509.087285, lowerbound=1094850.087285, norm of subgrad 1047.042543	dualbound = 1946509.087285, lowerbound=1094850.087285, norm of subgrad 42.094023	 stepsize= 1.000000 
-dualbound = 1946789.735848, lowerbound=1097626.735848, norm of subgrad 1048.414868	dualbound = 1946789.735848, lowerbound=1097626.735848, norm of subgrad 42.751007	 stepsize= 1.000000 
-dualbound = 1947058.949334, lowerbound=1094593.949334, norm of subgrad 1046.978963	dualbound = 1947058.949334, lowerbound=1094593.949334, norm of subgrad 42.897710	 stepsize= 1.000000 
-dualbound = 1947345.427688, lowerbound=1095242.427688, norm of subgrad 1047.306272	dualbound = 1947345.427688, lowerbound=1095242.427688, norm of subgrad 43.525606	 stepsize= 1.000000 
-dualbound = 1947654.292705, lowerbound=1097355.292705, norm of subgrad 1048.298761	dualbound = 1947654.292705, lowerbound=1097355.292705, norm of subgrad 43.403514	 stepsize= 1.000000 
-dualbound = 1947934.212923, lowerbound=1094219.212923, norm of subgrad 1046.807152	dualbound = 1947934.212923, lowerbound=1094219.212923, norm of subgrad 43.196299	 stepsize= 1.000000 
-dualbound = 1948230.265760, lowerbound=1094216.265760, norm of subgrad 1046.793803	dualbound = 1948230.265760, lowerbound=1094216.265760, norm of subgrad 43.093536	 stepsize= 1.000000 
-dualbound = 1948521.812882, lowerbound=1094548.812882, norm of subgrad 1046.914425	dualbound = 1948521.812882, lowerbound=1094548.812882, norm of subgrad 42.101628	 stepsize= 1.000000 
-dualbound = 1948840.169807, lowerbound=1097781.169807, norm of subgrad 1048.463719	dualbound = 1948840.169807, lowerbound=1097781.169807, norm of subgrad 42.583529	 stepsize= 1.000000 
-dualbound = 1949110.183555, lowerbound=1093835.183555, norm of subgrad 1046.608419	dualbound = 1949110.183555, lowerbound=1093835.183555, norm of subgrad 42.708474	 stepsize= 1.000000 
-dualbound = 1949391.246860, lowerbound=1094868.246860, norm of subgrad 1047.100400	dualbound = 1949391.246860, lowerbound=1094868.246860, norm of subgrad 42.802609	 stepsize= 1.000000 
-dualbound = 1949712.164642, lowerbound=1091625.164642, norm of subgrad 1045.524827	dualbound = 1949712.164642, lowerbound=1091625.164642, norm of subgrad 42.637047	 stepsize= 1.000000 
-dualbound = 1950013.305057, lowerbound=1094958.305057, norm of subgrad 1047.102337	dualbound = 1950013.305057, lowerbound=1094958.305057, norm of subgrad 42.025473	 stepsize= 1.000000 
-dualbound = 1950299.775075, lowerbound=1096676.775075, norm of subgrad 1047.932142	dualbound = 1950299.775075, lowerbound=1096676.775075, norm of subgrad 42.088835	 stepsize= 1.000000 
-dualbound = 1950593.418979, lowerbound=1098071.418979, norm of subgrad 1048.613093	dualbound = 1950593.418979, lowerbound=1098071.418979, norm of subgrad 42.563410	 stepsize= 1.000000 
-dualbound = 1950878.991711, lowerbound=1096858.991711, norm of subgrad 1048.056769	dualbound = 1950878.991711, lowerbound=1096858.991711, norm of subgrad 43.006659	 stepsize= 1.000000 
-dualbound = 1951166.420941, lowerbound=1092850.420941, norm of subgrad 1046.118741	dualbound = 1951166.420941, lowerbound=1092850.420941, norm of subgrad 42.443247	 stepsize= 1.000000 
-dualbound = 1951451.079314, lowerbound=1093439.079314, norm of subgrad 1046.428726	dualbound = 1951451.079314, lowerbound=1093439.079314, norm of subgrad 43.112160	 stepsize= 1.000000 
-dualbound = 1951727.488730, lowerbound=1097628.488730, norm of subgrad 1048.454810	dualbound = 1951727.488730, lowerbound=1097628.488730, norm of subgrad 43.650996	 stepsize= 1.000000 
-dualbound = 1952029.596439, lowerbound=1096277.596439, norm of subgrad 1047.766480	dualbound = 1952029.596439, lowerbound=1096277.596439, norm of subgrad 42.884819	 stepsize= 1.000000 
-dualbound = 1952347.355934, lowerbound=1094269.355934, norm of subgrad 1046.789069	dualbound = 1952347.355934, lowerbound=1094269.355934, norm of subgrad 42.611730	 stepsize= 1.000000 
-dualbound = 1952629.730343, lowerbound=1096612.730343, norm of subgrad 1047.953115	dualbound = 1952629.730343, lowerbound=1096612.730343, norm of subgrad 43.305593	 stepsize= 1.000000 
-dualbound = 1952882.053969, lowerbound=1095409.053969, norm of subgrad 1047.361472	dualbound = 1952882.053969, lowerbound=1095409.053969, norm of subgrad 42.536145	 stepsize= 1.000000 
-dualbound = 1953194.757715, lowerbound=1096317.757715, norm of subgrad 1047.781827	dualbound = 1953194.757715, lowerbound=1096317.757715, norm of subgrad 42.915076	 stepsize= 1.000000 
-dualbound = 1953493.737869, lowerbound=1095117.737869, norm of subgrad 1047.207113	dualbound = 1953493.737869, lowerbound=1095117.737869, norm of subgrad 42.708081	 stepsize= 1.000000 
-dualbound = 1953801.114861, lowerbound=1094589.114861, norm of subgrad 1046.955641	dualbound = 1953801.114861, lowerbound=1094589.114861, norm of subgrad 42.829627	 stepsize= 1.000000 
-dualbound = 1954076.444635, lowerbound=1098949.444635, norm of subgrad 1049.065034	dualbound = 1954076.444635, lowerbound=1098949.444635, norm of subgrad 43.166304	 stepsize= 1.000000 
-dualbound = 1954357.153138, lowerbound=1090510.153138, norm of subgrad 1045.001030	dualbound = 1954357.153138, lowerbound=1090510.153138, norm of subgrad 42.399393	 stepsize= 1.000000 
-dualbound = 1954670.500813, lowerbound=1095412.500813, norm of subgrad 1047.356912	dualbound = 1954670.500813, lowerbound=1095412.500813, norm of subgrad 43.096957	 stepsize= 1.000000 
-dualbound = 1954953.260447, lowerbound=1097203.260447, norm of subgrad 1048.213366	dualbound = 1954953.260447, lowerbound=1097203.260447, norm of subgrad 42.787377	 stepsize= 1.000000 
-dualbound = 1955243.501101, lowerbound=1094552.501101, norm of subgrad 1046.931469	dualbound = 1955243.501101, lowerbound=1094552.501101, norm of subgrad 42.464581	 stepsize= 1.000000 
-dualbound = 1955542.006880, lowerbound=1092554.006880, norm of subgrad 1045.987097	dualbound = 1955542.006880, lowerbound=1092554.006880, norm of subgrad 42.819456	 stepsize= 1.000000 
-dualbound = 1955849.938317, lowerbound=1095805.938317, norm of subgrad 1047.542332	dualbound = 1955849.938317, lowerbound=1095805.938317, norm of subgrad 42.975940	 stepsize= 1.000000 
-dualbound = 1956102.732653, lowerbound=1097724.732653, norm of subgrad 1048.480678	dualbound = 1956102.732653, lowerbound=1097724.732653, norm of subgrad 42.892824	 stepsize= 1.000000 
-dualbound = 1956399.384793, lowerbound=1096597.384793, norm of subgrad 1047.950564	dualbound = 1956399.384793, lowerbound=1096597.384793, norm of subgrad 43.584999	 stepsize= 1.000000 
-dualbound = 1956676.710943, lowerbound=1095472.710943, norm of subgrad 1047.382314	dualbound = 1956676.710943, lowerbound=1095472.710943, norm of subgrad 42.594908	 stepsize= 1.000000 
-dualbound = 1957005.547516, lowerbound=1094828.547516, norm of subgrad 1047.096723	dualbound = 1957005.547516, lowerbound=1094828.547516, norm of subgrad 43.724553	 stepsize= 1.000000 
-dualbound = 1957269.154608, lowerbound=1093921.154608, norm of subgrad 1046.644235	dualbound = 1957269.154608, lowerbound=1093921.154608, norm of subgrad 42.504201	 stepsize= 1.000000 
-dualbound = 1957565.352947, lowerbound=1098642.352947, norm of subgrad 1048.926286	dualbound = 1957565.352947, lowerbound=1098642.352947, norm of subgrad 43.591264	 stepsize= 1.000000 
-dualbound = 1957876.144509, lowerbound=1096798.144509, norm of subgrad 1048.007225	dualbound = 1957876.144509, lowerbound=1096798.144509, norm of subgrad 42.799434	 stepsize= 1.000000 
-dualbound = 1958171.554641, lowerbound=1098223.554641, norm of subgrad 1048.731879	dualbound = 1958171.554641, lowerbound=1098223.554641, norm of subgrad 43.708239	 stepsize= 1.000000 
-dualbound = 1958416.873067, lowerbound=1092176.873067, norm of subgrad 1045.832144	dualbound = 1958416.873067, lowerbound=1092176.873067, norm of subgrad 42.817268	 stepsize= 1.000000 
-dualbound = 1958743.309837, lowerbound=1094964.309837, norm of subgrad 1047.117142	dualbound = 1958743.309837, lowerbound=1094964.309837, norm of subgrad 42.619676	 stepsize= 1.000000 
-dualbound = 1959039.328027, lowerbound=1098582.328027, norm of subgrad 1048.874791	dualbound = 1959039.328027, lowerbound=1098582.328027, norm of subgrad 43.035081	 stepsize= 1.000000 
-dualbound = 1959349.472314, lowerbound=1094298.472314, norm of subgrad 1046.800111	dualbound = 1959349.472314, lowerbound=1094298.472314, norm of subgrad 42.451670	 stepsize= 1.000000 
-dualbound = 1959636.836789, lowerbound=1096409.836789, norm of subgrad 1047.863463	dualbound = 1959636.836789, lowerbound=1096409.836789, norm of subgrad 43.535784	 stepsize= 1.000000 
-dualbound = 1959901.280891, lowerbound=1099155.280891, norm of subgrad 1049.166946	dualbound = 1959901.280891, lowerbound=1099155.280891, norm of subgrad 43.132866	 stepsize= 1.000000 
-dualbound = 1960187.849691, lowerbound=1096120.849691, norm of subgrad 1047.714107	dualbound = 1960187.849691, lowerbound=1096120.849691, norm of subgrad 43.250073	 stepsize= 1.000000 
-dualbound = 1960469.943347, lowerbound=1094664.943347, norm of subgrad 1047.007614	dualbound = 1960469.943347, lowerbound=1094664.943347, norm of subgrad 42.919619	 stepsize= 1.000000 
-dualbound = 1960779.213140, lowerbound=1097153.213140, norm of subgrad 1048.182338	dualbound = 1960779.213140, lowerbound=1097153.213140, norm of subgrad 42.921670	 stepsize= 1.000000 
-dualbound = 1961109.485576, lowerbound=1096733.485576, norm of subgrad 1047.973991	dualbound = 1961109.485576, lowerbound=1096733.485576, norm of subgrad 42.968272	 stepsize= 1.000000 
-dualbound = 1961369.110886, lowerbound=1096502.110886, norm of subgrad 1047.863116	dualbound = 1961369.110886, lowerbound=1096502.110886, norm of subgrad 42.126302	 stepsize= 1.000000 
-dualbound = 1961707.692975, lowerbound=1096385.692975, norm of subgrad 1047.793249	dualbound = 1961707.692975, lowerbound=1096385.692975, norm of subgrad 42.703420	 stepsize= 1.000000 
-dualbound = 1961939.119032, lowerbound=1092957.119032, norm of subgrad 1046.184075	dualbound = 1961939.119032, lowerbound=1092957.119032, norm of subgrad 42.135805	 stepsize= 1.000000 
-dualbound = 1962239.985578, lowerbound=1098146.985578, norm of subgrad 1048.660091	dualbound = 1962239.985578, lowerbound=1098146.985578, norm of subgrad 42.916973	 stepsize= 1.000000 
-dualbound = 1962529.466023, lowerbound=1097237.466023, norm of subgrad 1048.197246	dualbound = 1962529.466023, lowerbound=1097237.466023, norm of subgrad 42.065193	 stepsize= 1.000000 
-dualbound = 1962849.921931, lowerbound=1097359.921931, norm of subgrad 1048.281890	dualbound = 1962849.921931, lowerbound=1097359.921931, norm of subgrad 43.075003	 stepsize= 1.000000 
-dualbound = 1963093.624606, lowerbound=1099911.624605, norm of subgrad 1049.528763	dualbound = 1963093.624606, lowerbound=1099911.624605, norm of subgrad 42.926713	 stepsize= 1.000000 
-dualbound = 1963369.276604, lowerbound=1099953.276604, norm of subgrad 1049.586241	dualbound = 1963369.276604, lowerbound=1099953.276604, norm of subgrad 44.200136	 stepsize= 1.000000 
-dualbound = 1963643.769698, lowerbound=1097895.769698, norm of subgrad 1048.557948	dualbound = 1963643.769698, lowerbound=1097895.769698, norm of subgrad 43.040598	 stepsize= 1.000000 
-dualbound = 1963977.478670, lowerbound=1096942.478670, norm of subgrad 1048.071791	dualbound = 1963977.478670, lowerbound=1096942.478670, norm of subgrad 42.961715	 stepsize= 1.000000 
-dualbound = 1964283.554883, lowerbound=1097429.554883, norm of subgrad 1048.290778	dualbound = 1964283.554883, lowerbound=1097429.554883, norm of subgrad 42.309292	 stepsize= 1.000000 
-dualbound = 1964578.926694, lowerbound=1098285.926694, norm of subgrad 1048.681518	dualbound = 1964578.926694, lowerbound=1098285.926694, norm of subgrad 41.741727	 stepsize= 1.000000 
-dualbound = 1964870.336075, lowerbound=1097061.336075, norm of subgrad 1048.146143	dualbound = 1964870.336075, lowerbound=1097061.336075, norm of subgrad 42.899993	 stepsize= 1.000000 
-dualbound = 1965116.723303, lowerbound=1102196.723303, norm of subgrad 1050.592082	dualbound = 1965116.723303, lowerbound=1102196.723303, norm of subgrad 42.348403	 stepsize= 1.000000 
-dualbound = 1965416.287712, lowerbound=1098310.287712, norm of subgrad 1048.732706	dualbound = 1965416.287712, lowerbound=1098310.287712, norm of subgrad 42.773408	 stepsize= 1.000000 
-dualbound = 1965700.902626, lowerbound=1096618.902626, norm of subgrad 1047.930772	dualbound = 1965700.902626, lowerbound=1096618.902626, norm of subgrad 42.715511	 stepsize= 1.000000 
-dualbound = 1966007.112481, lowerbound=1099980.112481, norm of subgrad 1049.518991	dualbound = 1966007.112481, lowerbound=1099980.112481, norm of subgrad 42.617014	 stepsize= 1.000000 
-dualbound = 1966281.522035, lowerbound=1097750.522035, norm of subgrad 1048.453395	dualbound = 1966281.522035, lowerbound=1097750.522035, norm of subgrad 42.171193	 stepsize= 1.000000 
-dualbound = 1966558.467906, lowerbound=1095551.467906, norm of subgrad 1047.433753	dualbound = 1966558.467906, lowerbound=1095551.467906, norm of subgrad 42.929545	 stepsize= 1.000000 
-dualbound = 1966853.462898, lowerbound=1102213.462898, norm of subgrad 1050.607664	dualbound = 1966853.462898, lowerbound=1102213.462898, norm of subgrad 43.104466	 stepsize= 1.000000 
-dualbound = 1967133.884692, lowerbound=1097390.884692, norm of subgrad 1048.313829	dualbound = 1967133.884692, lowerbound=1097390.884692, norm of subgrad 43.028151	 stepsize= 1.000000 
-dualbound = 1967421.933581, lowerbound=1101081.933581, norm of subgrad 1050.034254	dualbound = 1967421.933581, lowerbound=1101081.933581, norm of subgrad 42.166917	 stepsize= 1.000000 
-dualbound = 1967735.778777, lowerbound=1096738.778777, norm of subgrad 1047.966020	dualbound = 1967735.778777, lowerbound=1096738.778777, norm of subgrad 42.518763	 stepsize= 1.000000 
-dualbound = 1967993.992729, lowerbound=1100581.992729, norm of subgrad 1049.825220	dualbound = 1967993.992729, lowerbound=1100581.992729, norm of subgrad 42.534856	 stepsize= 1.000000 
-dualbound = 1968267.287978, lowerbound=1099310.287978, norm of subgrad 1049.241292	dualbound = 1968267.287978, lowerbound=1099310.287978, norm of subgrad 43.246910	 stepsize= 1.000000 
-dualbound = 1968544.784017, lowerbound=1102316.784017, norm of subgrad 1050.653979	dualbound = 1968544.784017, lowerbound=1102316.784017, norm of subgrad 42.831017	 stepsize= 1.000000 
-dualbound = 1968860.143859, lowerbound=1099613.143859, norm of subgrad 1049.339384	dualbound = 1968860.143859, lowerbound=1099613.143859, norm of subgrad 42.607040	 stepsize= 1.000000 
-dualbound = 1969137.909424, lowerbound=1096390.909424, norm of subgrad 1047.802419	dualbound = 1969137.909424, lowerbound=1096390.909424, norm of subgrad 42.151697	 stepsize= 1.000000 
-dualbound = 1969428.858288, lowerbound=1099159.858288, norm of subgrad 1049.146729	dualbound = 1969428.858288, lowerbound=1099159.858288, norm of subgrad 42.894625	 stepsize= 1.000000 
-dualbound = 1969688.148407, lowerbound=1101836.148407, norm of subgrad 1050.462350	dualbound = 1969688.148407, lowerbound=1101836.148407, norm of subgrad 43.523443	 stepsize= 1.000000 
-dualbound = 1969982.180189, lowerbound=1096126.180189, norm of subgrad 1047.689448	dualbound = 1969982.180189, lowerbound=1096126.180189, norm of subgrad 42.673549	 stepsize= 1.000000 
-dualbound = 1970265.195873, lowerbound=1099845.195873, norm of subgrad 1049.476153	dualbound = 1970265.195873, lowerbound=1099845.195873, norm of subgrad 42.872085	 stepsize= 1.000000 
-dualbound = 1970573.201849, lowerbound=1097955.201849, norm of subgrad 1048.585810	dualbound = 1970573.201849, lowerbound=1097955.201849, norm of subgrad 43.416656	 stepsize= 1.000000 
-dualbound = 1970841.852870, lowerbound=1099455.852870, norm of subgrad 1049.287784	dualbound = 1970841.852870, lowerbound=1099455.852870, norm of subgrad 42.633919	 stepsize= 1.000000 
-dualbound = 1971146.906809, lowerbound=1102416.906809, norm of subgrad 1050.685446	dualbound = 1971146.906809, lowerbound=1102416.906809, norm of subgrad 42.755747	 stepsize= 1.000000 
-dualbound = 1971429.280996, lowerbound=1096183.280996, norm of subgrad 1047.726243	dualbound = 1971429.280996, lowerbound=1096183.280996, norm of subgrad 42.771184	 stepsize= 1.000000 
-dualbound = 1971700.708080, lowerbound=1101021.708080, norm of subgrad 1050.035098	dualbound = 1971700.708080, lowerbound=1101021.708080, norm of subgrad 42.701605	 stepsize= 1.000000 
-dualbound = 1971994.824747, lowerbound=1096743.824747, norm of subgrad 1047.965565	dualbound = 1971994.824747, lowerbound=1096743.824747, norm of subgrad 42.215124	 stepsize= 1.000000 
-dualbound = 1972297.695027, lowerbound=1099993.695027, norm of subgrad 1049.547376	dualbound = 1972297.695027, lowerbound=1099993.695027, norm of subgrad 43.114618	 stepsize= 1.000000 
-dualbound = 1972546.704036, lowerbound=1103374.704036, norm of subgrad 1051.159219	dualbound = 1972546.704036, lowerbound=1103374.704036, norm of subgrad 42.544201	 stepsize= 1.000000 
-dualbound = 1972851.209095, lowerbound=1097600.209095, norm of subgrad 1048.416525	dualbound = 1972851.209095, lowerbound=1097600.209095, norm of subgrad 43.376319	 stepsize= 1.000000 
-dualbound = 1973124.429903, lowerbound=1100911.429903, norm of subgrad 1050.008776	dualbound = 1973124.429903, lowerbound=1100911.429903, norm of subgrad 43.361513	 stepsize= 1.000000 
-dualbound = 1973414.691492, lowerbound=1099913.691492, norm of subgrad 1049.526889	dualbound = 1973414.691492, lowerbound=1099913.691492, norm of subgrad 43.396562	 stepsize= 1.000000 
-dualbound = 1973712.034454, lowerbound=1098710.034454, norm of subgrad 1048.944724	dualbound = 1973712.034454, lowerbound=1098710.034454, norm of subgrad 43.270578	 stepsize= 1.000000 
-dualbound = 1973994.971345, lowerbound=1101879.971345, norm of subgrad 1050.469405	dualbound = 1973994.971345, lowerbound=1101879.971345, norm of subgrad 43.461902	 stepsize= 1.000000 
-dualbound = 1974280.102931, lowerbound=1098316.102931, norm of subgrad 1048.744537	dualbound = 1974280.102931, lowerbound=1098316.102931, norm of subgrad 42.826762	 stepsize= 1.000000 
-dualbound = 1974576.311473, lowerbound=1102251.311473, norm of subgrad 1050.605212	dualbound = 1974576.311473, lowerbound=1102251.311473, norm of subgrad 42.616998	 stepsize= 1.000000 
-dualbound = 1974885.785116, lowerbound=1095811.785116, norm of subgrad 1047.500733	dualbound = 1974885.785116, lowerbound=1095811.785116, norm of subgrad 41.898373	 stepsize= 1.000000 
-dualbound = 1975174.278439, lowerbound=1098629.278439, norm of subgrad 1048.873814	dualbound = 1975174.278439, lowerbound=1098629.278439, norm of subgrad 42.373262	 stepsize= 1.000000 
-dualbound = 1975433.515674, lowerbound=1102145.515674, norm of subgrad 1050.548674	dualbound = 1975433.515674, lowerbound=1102145.515674, norm of subgrad 42.026625	 stepsize= 1.000000 
-dualbound = 1975737.930101, lowerbound=1101416.930101, norm of subgrad 1050.208517	dualbound = 1975737.930101, lowerbound=1101416.930101, norm of subgrad 42.724869	 stepsize= 1.000000 
-dualbound = 1976000.762058, lowerbound=1100382.762058, norm of subgrad 1049.732234	dualbound = 1976000.762058, lowerbound=1100382.762058, norm of subgrad 42.636041	 stepsize= 1.000000 
-dualbound = 1976261.504186, lowerbound=1098855.504186, norm of subgrad 1049.026455	dualbound = 1976261.504186, lowerbound=1098855.504186, norm of subgrad 43.147910	 stepsize= 1.000000 
-dualbound = 1976574.109034, lowerbound=1096101.109034, norm of subgrad 1047.659825	dualbound = 1976574.109034, lowerbound=1096101.109034, norm of subgrad 42.457094	 stepsize= 1.000000 
-dualbound = 1976866.389194, lowerbound=1102913.389194, norm of subgrad 1050.953086	dualbound = 1976866.389194, lowerbound=1102913.389194, norm of subgrad 43.373727	 stepsize= 1.000000 
-dualbound = 1977130.694484, lowerbound=1098423.694484, norm of subgrad 1048.780575	dualbound = 1977130.694484, lowerbound=1098423.694484, norm of subgrad 42.205513	 stepsize= 1.000000 
-dualbound = 1977459.495904, lowerbound=1099727.495904, norm of subgrad 1049.402447	dualbound = 1977459.495904, lowerbound=1099727.495904, norm of subgrad 42.974428	 stepsize= 1.000000 
-dualbound = 1977693.162234, lowerbound=1100679.162234, norm of subgrad 1049.876737	dualbound = 1977693.162234, lowerbound=1100679.162234, norm of subgrad 42.375303	 stepsize= 1.000000 
-dualbound = 1977981.706584, lowerbound=1104880.706584, norm of subgrad 1051.905750	dualbound = 1977981.706584, lowerbound=1104880.706584, norm of subgrad 43.744078	 stepsize= 1.000000 
-dualbound = 1978281.073878, lowerbound=1097011.073878, norm of subgrad 1048.103561	dualbound = 1978281.073878, lowerbound=1097011.073878, norm of subgrad 42.536658	 stepsize= 1.000000 
-dualbound = 1978571.614861, lowerbound=1099967.614861, norm of subgrad 1049.554484	dualbound = 1978571.614861, lowerbound=1099967.614861, norm of subgrad 43.445840	 stepsize= 1.000000 
-dualbound = 1978834.045863, lowerbound=1098858.045863, norm of subgrad 1049.018611	dualbound = 1978834.045863, lowerbound=1098858.045863, norm of subgrad 42.946839	 stepsize= 1.000000 
-dualbound = 1979139.199370, lowerbound=1102048.199370, norm of subgrad 1050.510447	dualbound = 1979139.199370, lowerbound=1102048.199370, norm of subgrad 42.768604	 stepsize= 1.000000 
-dualbound = 1979437.434781, lowerbound=1098067.434781, norm of subgrad 1048.640279	dualbound = 1979437.434781, lowerbound=1098067.434781, norm of subgrad 43.327075	 stepsize= 1.000000 
-dualbound = 1979721.830592, lowerbound=1101143.830592, norm of subgrad 1050.069917	dualbound = 1979721.830592, lowerbound=1101143.830592, norm of subgrad 42.277604	 stepsize= 1.000000 
-dualbound = 1979980.688066, lowerbound=1099397.688066, norm of subgrad 1049.257684	dualbound = 1979980.688066, lowerbound=1099397.688066, norm of subgrad 42.460069	 stepsize= 1.000000 
-dualbound = 1980282.392131, lowerbound=1102497.392131, norm of subgrad 1050.758484	dualbound = 1980282.392131, lowerbound=1102497.392131, norm of subgrad 43.562645	 stepsize= 1.000000 
-dualbound = 1980561.623019, lowerbound=1096904.623019, norm of subgrad 1048.099052	dualbound = 1980561.623019, lowerbound=1096904.623019, norm of subgrad 43.430760	 stepsize= 1.000000 
-dualbound = 1980826.177144, lowerbound=1099299.177144, norm of subgrad 1049.218365	dualbound = 1980826.177144, lowerbound=1099299.177144, norm of subgrad 42.714800	 stepsize= 1.000000 
-dualbound = 1981145.016163, lowerbound=1100197.016163, norm of subgrad 1049.616604	dualbound = 1981145.016163, lowerbound=1100197.016163, norm of subgrad 42.624395	 stepsize= 1.000000 
-dualbound = 1981428.794170, lowerbound=1098332.794170, norm of subgrad 1048.735331	dualbound = 1981428.794170, lowerbound=1098332.794170, norm of subgrad 42.388418	 stepsize= 1.000000 
-dualbound = 1981715.866649, lowerbound=1103103.866649, norm of subgrad 1051.014684	dualbound = 1981715.866649, lowerbound=1103103.866649, norm of subgrad 42.603667	 stepsize= 1.000000 
-dualbound = 1981988.389312, lowerbound=1098552.389312, norm of subgrad 1048.865287	dualbound = 1981988.389312, lowerbound=1098552.389312, norm of subgrad 42.877997	 stepsize= 1.000000 
-dualbound = 1982290.362876, lowerbound=1100785.362876, norm of subgrad 1049.921122	dualbound = 1982290.362876, lowerbound=1100785.362876, norm of subgrad 43.022942	 stepsize= 1.000000 
-dualbound = 1982562.786227, lowerbound=1098527.786227, norm of subgrad 1048.833059	dualbound = 1982562.786227, lowerbound=1098527.786227, norm of subgrad 42.372436	 stepsize= 1.000000 
-dualbound = 1982842.443154, lowerbound=1101467.443154, norm of subgrad 1050.254942	dualbound = 1982842.443154, lowerbound=1101467.443154, norm of subgrad 42.984380	 stepsize= 1.000000 
-dualbound = 1983125.128824, lowerbound=1100524.128824, norm of subgrad 1049.801471	dualbound = 1983125.128824, lowerbound=1100524.128824, norm of subgrad 42.914865	 stepsize= 1.000000 
-dualbound = 1983409.233265, lowerbound=1102594.233265, norm of subgrad 1050.776966	dualbound = 1983409.233265, lowerbound=1102594.233265, norm of subgrad 42.686115	 stepsize= 1.000000 
-dualbound = 1983679.559874, lowerbound=1099372.559874, norm of subgrad 1049.269536	dualbound = 1983679.559874, lowerbound=1099372.559874, norm of subgrad 43.177849	 stepsize= 1.000000 
-dualbound = 1983957.712504, lowerbound=1101109.712504, norm of subgrad 1050.071289	dualbound = 1983957.712504, lowerbound=1101109.712504, norm of subgrad 42.639801	 stepsize= 1.000000 
-dualbound = 1984247.024113, lowerbound=1101092.024113, norm of subgrad 1050.100483	dualbound = 1984247.024113, lowerbound=1101092.024113, norm of subgrad 43.684226	 stepsize= 1.000000 
-dualbound = 1984513.541613, lowerbound=1101886.541613, norm of subgrad 1050.469677	dualbound = 1984513.541613, lowerbound=1101886.541613, norm of subgrad 43.203212	 stepsize= 1.000000 
-dualbound = 1984809.658808, lowerbound=1101208.658808, norm of subgrad 1050.098880	dualbound = 1984809.658808, lowerbound=1101208.658808, norm of subgrad 42.368823	 stepsize= 1.000000 
-dualbound = 1985113.447011, lowerbound=1100096.447011, norm of subgrad 1049.565837	dualbound = 1985113.447011, lowerbound=1100096.447011, norm of subgrad 42.376741	 stepsize= 1.000000 
-dualbound = 1985381.234025, lowerbound=1101837.234025, norm of subgrad 1050.407175	dualbound = 1985381.234025, lowerbound=1101837.234025, norm of subgrad 42.258573	 stepsize= 1.000000 
-dualbound = 1985681.135476, lowerbound=1098564.135476, norm of subgrad 1048.860398	dualbound = 1985681.135476, lowerbound=1098564.135476, norm of subgrad 42.940674	 stepsize= 1.000000 
-dualbound = 1985944.171540, lowerbound=1103501.171540, norm of subgrad 1051.204153	dualbound = 1985944.171540, lowerbound=1103501.171540, norm of subgrad 42.332447	 stepsize= 1.000000 
-dualbound = 1986262.428860, lowerbound=1100955.428860, norm of subgrad 1049.973061	dualbound = 1986262.428860, lowerbound=1100955.428860, norm of subgrad 42.500086	 stepsize= 1.000000 
-dualbound = 1986534.336710, lowerbound=1098528.336710, norm of subgrad 1048.823311	dualbound = 1986534.336710, lowerbound=1098528.336710, norm of subgrad 42.117785	 stepsize= 1.000000 
-dualbound = 1986808.980569, lowerbound=1100287.980569, norm of subgrad 1049.704711	dualbound = 1986808.980569, lowerbound=1100287.980569, norm of subgrad 43.204674	 stepsize= 1.000000 
-dualbound = 1987078.941022, lowerbound=1098746.941022, norm of subgrad 1048.976616	dualbound = 1987078.941022, lowerbound=1098746.941022, norm of subgrad 43.300814	 stepsize= 1.000000 
-dualbound = 1987369.131525, lowerbound=1102415.131525, norm of subgrad 1050.673656	dualbound = 1987369.131525, lowerbound=1102415.131525, norm of subgrad 42.310643	 stepsize= 1.000000 
-dualbound = 1987675.800182, lowerbound=1099304.800182, norm of subgrad 1049.211990	dualbound = 1987675.800182, lowerbound=1099304.800182, norm of subgrad 42.984516	 stepsize= 1.000000 
-dualbound = 1987927.171980, lowerbound=1101563.171980, norm of subgrad 1050.305276	dualbound = 1987927.171980, lowerbound=1101563.171980, norm of subgrad 42.771156	 stepsize= 1.000000 
-dualbound = 1988182.780819, lowerbound=1102211.780819, norm of subgrad 1050.589730	dualbound = 1988182.780819, lowerbound=1102211.780819, norm of subgrad 42.220953	 stepsize= 1.000000 
-dualbound = 1988505.164978, lowerbound=1102033.164978, norm of subgrad 1050.506623	dualbound = 1988505.164978, lowerbound=1102033.164978, norm of subgrad 43.050948	 stepsize= 1.000000 
-dualbound = 1988748.846916, lowerbound=1101568.846916, norm of subgrad 1050.287983	dualbound = 1988748.846916, lowerbound=1101568.846916, norm of subgrad 42.186277	 stepsize= 1.000000 
-dualbound = 1989060.511581, lowerbound=1099353.511581, norm of subgrad 1049.214235	dualbound = 1989060.511581, lowerbound=1099353.511581, norm of subgrad 42.528398	 stepsize= 1.000000 
-dualbound = 1989345.909411, lowerbound=1101404.909411, norm of subgrad 1050.170419	dualbound = 1989345.909411, lowerbound=1101404.909411, norm of subgrad 41.694098	 stepsize= 1.000000 
-dualbound = 1989622.082108, lowerbound=1099232.082108, norm of subgrad 1049.206882	dualbound = 1989622.082108, lowerbound=1099232.082108, norm of subgrad 43.349426	 stepsize= 1.000000 
-dualbound = 1989888.092433, lowerbound=1102646.092433, norm of subgrad 1050.856361	dualbound = 1989888.092433, lowerbound=1102646.092433, norm of subgrad 43.806510	 stepsize= 1.000000 
-dualbound = 1990145.116532, lowerbound=1099426.116532, norm of subgrad 1049.269802	dualbound = 1990145.116532, lowerbound=1099426.116532, norm of subgrad 42.403114	 stepsize= 1.000000 
-dualbound = 1990483.093223, lowerbound=1100201.093223, norm of subgrad 1049.653797	dualbound = 1990483.093223, lowerbound=1100201.093223, norm of subgrad 43.703280	 stepsize= 1.000000 
-dualbound = 1990745.357627, lowerbound=1100167.357627, norm of subgrad 1049.625342	dualbound = 1990745.357627, lowerbound=1100167.357627, norm of subgrad 42.523692	 stepsize= 1.000000 
-dualbound = 1991025.880925, lowerbound=1099823.880925, norm of subgrad 1049.472192	dualbound = 1991025.880925, lowerbound=1099823.880925, norm of subgrad 42.994457	 stepsize= 1.000000 
-dualbound = 1991311.000535, lowerbound=1100928.000535, norm of subgrad 1050.006667	dualbound = 1991311.000535, lowerbound=1100928.000535, norm of subgrad 43.256440	 stepsize= 1.000000 
-dualbound = 1991598.447685, lowerbound=1102806.447685, norm of subgrad 1050.897924	dualbound = 1991598.447685, lowerbound=1102806.447685, norm of subgrad 43.213969	 stepsize= 1.000000 
-dualbound = 1991871.082484, lowerbound=1099127.082484, norm of subgrad 1049.157320	dualbound = 1991871.082484, lowerbound=1099127.082484, norm of subgrad 43.320143	 stepsize= 1.000000 
-dualbound = 1992147.003744, lowerbound=1098941.003744, norm of subgrad 1049.060534	dualbound = 1992147.003744, lowerbound=1098941.003744, norm of subgrad 43.161572	 stepsize= 1.000000 
-dualbound = 1992447.645613, lowerbound=1103512.645613, norm of subgrad 1051.235771	dualbound = 1992447.645613, lowerbound=1103512.645613, norm of subgrad 43.412462	 stepsize= 1.000000 
-dualbound = 1992744.402608, lowerbound=1102449.402608, norm of subgrad 1050.699958	dualbound = 1992744.402608, lowerbound=1102449.402608, norm of subgrad 42.635161	 stepsize= 1.000000 
-dualbound = 1993031.337997, lowerbound=1102523.337997, norm of subgrad 1050.751321	dualbound = 1993031.337997, lowerbound=1102523.337997, norm of subgrad 42.917775	 stepsize= 1.000000 
-dualbound = 1993295.916741, lowerbound=1101662.916741, norm of subgrad 1050.325624	dualbound = 1993295.916741, lowerbound=1101662.916741, norm of subgrad 42.256109	 stepsize= 1.000000 
-dualbound = 1993588.610297, lowerbound=1099140.610297, norm of subgrad 1049.180447	dualbound = 1993588.610297, lowerbound=1099140.610297, norm of subgrad 43.951036	 stepsize= 1.000000 
-dualbound = 1993823.224583, lowerbound=1103836.224583, norm of subgrad 1051.391090	dualbound = 1993823.224583, lowerbound=1103836.224583, norm of subgrad 42.680374	 stepsize= 1.000000 
-dualbound = 1994137.862812, lowerbound=1103358.862812, norm of subgrad 1051.126473	dualbound = 1994137.862812, lowerbound=1103358.862812, norm of subgrad 42.692367	 stepsize= 1.000000 
-dualbound = 1994444.347944, lowerbound=1104357.347944, norm of subgrad 1051.618918	dualbound = 1994444.347944, lowerbound=1104357.347944, norm of subgrad 43.028887	 stepsize= 1.000000 
-dualbound = 1994677.804390, lowerbound=1098821.804390, norm of subgrad 1049.005626	dualbound = 1994677.804390, lowerbound=1098821.804390, norm of subgrad 42.713656	 stepsize= 1.000000 
-dualbound = 1994987.732941, lowerbound=1104919.732941, norm of subgrad 1051.878193	dualbound = 1994987.732941, lowerbound=1104919.732941, norm of subgrad 42.871069	 stepsize= 1.000000 
-dualbound = 1995254.096514, lowerbound=1100750.096514, norm of subgrad 1049.923853	dualbound = 1995254.096514, lowerbound=1100750.096514, norm of subgrad 43.085538	 stepsize= 1.000000 
-dualbound = 1995546.166840, lowerbound=1101195.166840, norm of subgrad 1050.118168	dualbound = 1995546.166840, lowerbound=1101195.166840, norm of subgrad 42.954282	 stepsize= 1.000000 
-dualbound = 1995832.280561, lowerbound=1102532.280561, norm of subgrad 1050.741776	dualbound = 1995832.280561, lowerbound=1102532.280561, norm of subgrad 42.568929	 stepsize= 1.000000 
-dualbound = 1996105.666238, lowerbound=1103034.666238, norm of subgrad 1050.978909	dualbound = 1996105.666238, lowerbound=1103034.666238, norm of subgrad 42.371992	 stepsize= 1.000000 
-dualbound = 1996381.391076, lowerbound=1103830.391076, norm of subgrad 1051.365964	dualbound = 1996381.391076, lowerbound=1103830.391076, norm of subgrad 42.611323	 stepsize= 1.000000 
-dualbound = 1996650.079176, lowerbound=1102136.079176, norm of subgrad 1050.573215	dualbound = 1996650.079176, lowerbound=1102136.079176, norm of subgrad 42.856599	 stepsize= 1.000000 
-dualbound = 1996937.593929, lowerbound=1102037.593929, norm of subgrad 1050.531101	dualbound = 1996937.593929, lowerbound=1102037.593929, norm of subgrad 43.191605	 stepsize= 1.000000 
-dualbound = 1997207.191584, lowerbound=1106147.191584, norm of subgrad 1052.459591	dualbound = 1997207.191584, lowerbound=1106147.191584, norm of subgrad 42.350887	 stepsize= 1.000000 
-dualbound = 1997509.697502, lowerbound=1099784.697502, norm of subgrad 1049.424460	dualbound = 1997509.697502, lowerbound=1099784.697502, norm of subgrad 42.538288	 stepsize= 1.000000 
-dualbound = 1997782.127425, lowerbound=1102645.127425, norm of subgrad 1050.832112	dualbound = 1997782.127425, lowerbound=1102645.127425, norm of subgrad 43.306234	 stepsize= 1.000000 
-dualbound = 1998054.432087, lowerbound=1099442.432087, norm of subgrad 1049.303308	dualbound = 1998054.432087, lowerbound=1099442.432087, norm of subgrad 43.212321	 stepsize= 1.000000 
-dualbound = 1998338.122910, lowerbound=1104096.122910, norm of subgrad 1051.482821	dualbound = 1998338.122910, lowerbound=1104096.122910, norm of subgrad 42.469881	 stepsize= 1.000000 
-dualbound = 1998635.689623, lowerbound=1102445.689623, norm of subgrad 1050.682963	dualbound = 1998635.689623, lowerbound=1102445.689623, norm of subgrad 42.267798	 stepsize= 1.000000 
-dualbound = 1998894.259784, lowerbound=1105090.259784, norm of subgrad 1051.993945	dualbound = 1998894.259784, lowerbound=1105090.259784, norm of subgrad 43.122734	 stepsize= 1.000000 
-dualbound = 1999169.869574, lowerbound=1101908.869574, norm of subgrad 1050.474117	dualbound = 1999169.869574, lowerbound=1101908.869574, norm of subgrad 43.157963	 stepsize= 1.000000 
-dualbound = 1999453.572336, lowerbound=1102843.572336, norm of subgrad 1050.890847	dualbound = 1999453.572336, lowerbound=1102843.572336, norm of subgrad 42.564102	 stepsize= 1.000000 
-dualbound = 1999737.228553, lowerbound=1100773.228553, norm of subgrad 1049.903914	dualbound = 1999737.228553, lowerbound=1100773.228553, norm of subgrad 42.528299	 stepsize= 1.000000 
-dualbound = 2000023.572817, lowerbound=1103288.572817, norm of subgrad 1051.103502	dualbound = 2000023.572817, lowerbound=1103288.572817, norm of subgrad 42.618591	 stepsize= 1.000000 
-dualbound = 2000293.986705, lowerbound=1100775.986705, norm of subgrad 1049.929039	dualbound = 2000293.986705, lowerbound=1100775.986705, norm of subgrad 42.958281	 stepsize= 1.000000 
-dualbound = 2000570.341111, lowerbound=1103318.341111, norm of subgrad 1051.130031	dualbound = 2000570.341111, lowerbound=1103318.341111, norm of subgrad 42.806009	 stepsize= 1.000000 
-dualbound = 2000844.384563, lowerbound=1105071.384563, norm of subgrad 1051.971190	dualbound = 2000844.384563, lowerbound=1105071.384563, norm of subgrad 42.965608	 stepsize= 1.000000 
-dualbound = 2001121.299597, lowerbound=1104425.299597, norm of subgrad 1051.645520	dualbound = 2001121.299597, lowerbound=1104425.299597, norm of subgrad 42.543096	 stepsize= 1.000000 
-dualbound = 2001411.866798, lowerbound=1103931.866798, norm of subgrad 1051.386640	dualbound = 2001411.866798, lowerbound=1103931.866798, norm of subgrad 42.101867	 stepsize= 1.000000 
-dualbound = 2001687.228756, lowerbound=1101971.228756, norm of subgrad 1050.473336	dualbound = 2001687.228756, lowerbound=1101971.228756, norm of subgrad 42.407098	 stepsize= 1.000000 
-dualbound = 2001957.113022, lowerbound=1101432.113022, norm of subgrad 1050.234313	dualbound = 2001957.113022, lowerbound=1101432.113022, norm of subgrad 42.777147	 stepsize= 1.000000 
-dualbound = 2002235.105232, lowerbound=1104170.105232, norm of subgrad 1051.526084	dualbound = 2002235.105232, lowerbound=1104170.105232, norm of subgrad 42.602725	 stepsize= 1.000000 
-dualbound = 2002532.983856, lowerbound=1101210.983856, norm of subgrad 1050.114272	dualbound = 2002532.983856, lowerbound=1101210.983856, norm of subgrad 42.742001	 stepsize= 1.000000 
-dualbound = 2002802.465776, lowerbound=1102969.465776, norm of subgrad 1050.963113	dualbound = 2002802.465776, lowerbound=1102969.465776, norm of subgrad 42.702247	 stepsize= 1.000000 
-dualbound = 2003080.743115, lowerbound=1104047.743115, norm of subgrad 1051.461717	dualbound = 2003080.743115, lowerbound=1104047.743115, norm of subgrad 42.453237	 stepsize= 1.000000 
-dualbound = 2003373.675153, lowerbound=1106524.675153, norm of subgrad 1052.613260	dualbound = 2003373.675153, lowerbound=1106524.675153, norm of subgrad 41.987284	 stepsize= 1.000000 
-dualbound = 2003647.460805, lowerbound=1100739.460805, norm of subgrad 1049.896881	dualbound = 2003647.460805, lowerbound=1100739.460805, norm of subgrad 42.635498	 stepsize= 1.000000 
-dualbound = 2003894.745860, lowerbound=1101169.745860, norm of subgrad 1050.128443	dualbound = 2003894.745860, lowerbound=1101169.745860, norm of subgrad 42.980054	 stepsize= 1.000000 
-dualbound = 2004183.969769, lowerbound=1103643.969769, norm of subgrad 1051.307743	dualbound = 2004183.969769, lowerbound=1103643.969769, norm of subgrad 43.511193	 stepsize= 1.000000 
-dualbound = 2004451.055548, lowerbound=1105999.055548, norm of subgrad 1052.431972	dualbound = 2004451.055548, lowerbound=1105999.055548, norm of subgrad 43.371486	 stepsize= 1.000000 
-dualbound = 2004737.805551, lowerbound=1100216.805551, norm of subgrad 1049.638417	dualbound = 2004737.805551, lowerbound=1100216.805551, norm of subgrad 42.552908	 stepsize= 1.000000 
-dualbound = 2005031.514161, lowerbound=1101847.514161, norm of subgrad 1050.428253	dualbound = 2005031.514161, lowerbound=1101847.514161, norm of subgrad 42.961711	 stepsize= 1.000000 
-dualbound = 2005289.418993, lowerbound=1102134.418993, norm of subgrad 1050.540537	dualbound = 2005289.418993, lowerbound=1102134.418993, norm of subgrad 41.939299	 stepsize= 1.000000 
-dualbound = 2005594.564938, lowerbound=1104924.564938, norm of subgrad 1051.853871	dualbound = 2005594.564938, lowerbound=1104924.564938, norm of subgrad 42.156209	 stepsize= 1.000000 
-dualbound = 2005870.975709, lowerbound=1103036.975709, norm of subgrad 1050.954792	dualbound = 2005870.975709, lowerbound=1103036.975709, norm of subgrad 41.778114	 stepsize= 1.000000 
-dualbound = 2006162.718619, lowerbound=1103565.718619, norm of subgrad 1051.225817	dualbound = 2006162.718619, lowerbound=1103565.718619, norm of subgrad 42.446942	 stepsize= 1.000000 
-dualbound = 2006409.496901, lowerbound=1102767.496901, norm of subgrad 1050.865594	dualbound = 2006409.496901, lowerbound=1102767.496901, norm of subgrad 42.400216	 stepsize= 1.000000 
-dualbound = 2006675.193662, lowerbound=1105228.193662, norm of subgrad 1052.063303	dualbound = 2006675.193662, lowerbound=1105228.193662, norm of subgrad 43.297769	 stepsize= 1.000000 
-dualbound = 2006939.844089, lowerbound=1104132.844089, norm of subgrad 1051.505989	dualbound = 2006939.844089, lowerbound=1104132.844089, norm of subgrad 42.386913	 stepsize= 1.000000 
-dualbound = 2007283.021385, lowerbound=1103791.021385, norm of subgrad 1051.305865	dualbound = 2007283.021385, lowerbound=1103791.021385, norm of subgrad 42.381332	 stepsize= 1.000000 
-dualbound = 2007532.284449, lowerbound=1102689.284449, norm of subgrad 1050.816960	dualbound = 2007532.284449, lowerbound=1102689.284449, norm of subgrad 42.145736	 stepsize= 1.000000 
-dualbound = 2007795.015625, lowerbound=1100020.015625, norm of subgrad 1049.549435	dualbound = 2007795.015625, lowerbound=1100020.015625, norm of subgrad 42.387866	 stepsize= 1.000000 
-dualbound = 2008110.523984, lowerbound=1106003.523984, norm of subgrad 1052.362354	dualbound = 2008110.523984, lowerbound=1106003.523984, norm of subgrad 42.172365	 stepsize= 1.000000 
-dualbound = 2008352.902771, lowerbound=1105914.902771, norm of subgrad 1052.374412	dualbound = 2008352.902771, lowerbound=1105914.902771, norm of subgrad 42.654177	 stepsize= 1.000000 
-dualbound = 2008631.045532, lowerbound=1100074.045532, norm of subgrad 1049.571363	dualbound = 2008631.045532, lowerbound=1100074.045532, norm of subgrad 42.475202	 stepsize= 1.000000 
-dualbound = 2008917.733992, lowerbound=1105130.733992, norm of subgrad 1051.962325	dualbound = 2008917.733992, lowerbound=1105130.733992, norm of subgrad 42.198204	 stepsize= 1.000000 
-dualbound = 2009203.533710, lowerbound=1101840.533710, norm of subgrad 1050.390182	dualbound = 2009203.533710, lowerbound=1101840.533710, norm of subgrad 42.009519	 stepsize= 1.000000 
-dualbound = 2009455.614428, lowerbound=1102584.614428, norm of subgrad 1050.812359	dualbound = 2009455.614428, lowerbound=1102584.614428, norm of subgrad 43.290654	 stepsize= 1.000000 
-dualbound = 2009728.106998, lowerbound=1105643.106998, norm of subgrad 1052.232440	dualbound = 2009728.106998, lowerbound=1105643.106998, norm of subgrad 42.690661	 stepsize= 1.000000 
-dualbound = 2010034.963235, lowerbound=1104773.963235, norm of subgrad 1051.811753	dualbound = 2010034.963235, lowerbound=1104773.963235, norm of subgrad 42.905201	 stepsize= 1.000000 
-dualbound = 2010306.418129, lowerbound=1106148.418129, norm of subgrad 1052.470626	dualbound = 2010306.418129, lowerbound=1106148.418129, norm of subgrad 42.631618	 stepsize= 1.000000 
-dualbound = 2010591.455588, lowerbound=1102255.455588, norm of subgrad 1050.615275	dualbound = 2010591.455588, lowerbound=1102255.455588, norm of subgrad 42.685331	 stepsize= 1.000000 
-dualbound = 2010857.118774, lowerbound=1103681.118774, norm of subgrad 1051.273570	dualbound = 2010857.118774, lowerbound=1103681.118774, norm of subgrad 41.960257	 stepsize= 1.000000 
-dualbound = 2011150.397839, lowerbound=1104366.397839, norm of subgrad 1051.604202	dualbound = 2011150.397839, lowerbound=1104366.397839, norm of subgrad 42.406121	 stepsize= 1.000000 
-dualbound = 2011396.543727, lowerbound=1103003.543727, norm of subgrad 1050.971714	dualbound = 2011396.543727, lowerbound=1103003.543727, norm of subgrad 42.239151	 stepsize= 1.000000 
-dualbound = 2011689.540411, lowerbound=1102917.540411, norm of subgrad 1050.922709	dualbound = 2011689.540411, lowerbound=1102917.540411, norm of subgrad 42.591040	 stepsize= 1.000000 
-dualbound = 2011951.320001, lowerbound=1107400.320001, norm of subgrad 1053.090366	dualbound = 2011951.320001, lowerbound=1107400.320001, norm of subgrad 43.136755	 stepsize= 1.000000 
-dualbound = 2012228.798830, lowerbound=1103933.798830, norm of subgrad 1051.431310	dualbound = 2012228.798830, lowerbound=1103933.798830, norm of subgrad 43.028814	 stepsize= 1.000000 
-dualbound = 2012486.464239, lowerbound=1103114.464239, norm of subgrad 1051.037328	dualbound = 2012486.464239, lowerbound=1103114.464239, norm of subgrad 42.692686	 stepsize= 1.000000 
-dualbound = 2012788.425280, lowerbound=1104863.425280, norm of subgrad 1051.840970	dualbound = 2012788.425280, lowerbound=1104863.425280, norm of subgrad 42.520125	 stepsize= 1.000000 
-dualbound = 2013055.055205, lowerbound=1104608.055205, norm of subgrad 1051.747144	dualbound = 2013055.055205, lowerbound=1104608.055205, norm of subgrad 42.785861	 stepsize= 1.000000 
-dualbound = 2013325.938142, lowerbound=1101788.938142, norm of subgrad 1050.402274	dualbound = 2013325.938142, lowerbound=1101788.938142, norm of subgrad 42.742051	 stepsize= 1.000000 
-dualbound = 2013586.324161, lowerbound=1099153.324161, norm of subgrad 1049.156959	dualbound = 2013586.324161, lowerbound=1099153.324161, norm of subgrad 42.864741	 stepsize= 1.000000 
-dualbound = 2013865.851252, lowerbound=1106804.851252, norm of subgrad 1052.802855	dualbound = 2013865.851252, lowerbound=1106804.851252, norm of subgrad 43.226463	 stepsize= 1.000000 
-dualbound = 2014146.232482, lowerbound=1103943.232482, norm of subgrad 1051.418201	dualbound = 2014146.232482, lowerbound=1103943.232482, norm of subgrad 42.630755	 stepsize= 1.000000 
-dualbound = 2014469.283829, lowerbound=1106300.283829, norm of subgrad 1052.526144	dualbound = 2014469.283829, lowerbound=1106300.283829, norm of subgrad 42.825826	 stepsize= 1.000000 
-dualbound = 2014706.469337, lowerbound=1099748.469337, norm of subgrad 1049.429116	dualbound = 2014706.469337, lowerbound=1099748.469337, norm of subgrad 42.310584	 stepsize= 1.000000 
-dualbound = 2015024.876170, lowerbound=1103870.876170, norm of subgrad 1051.357635	dualbound = 2015024.876170, lowerbound=1103870.876170, norm of subgrad 42.431201	 stepsize= 1.000000 
-dualbound = 2015285.772413, lowerbound=1104868.772413, norm of subgrad 1051.866804	dualbound = 2015285.772413, lowerbound=1104868.772413, norm of subgrad 42.613334	 stepsize= 1.000000 
-dualbound = 2015526.303618, lowerbound=1104927.303618, norm of subgrad 1051.887020	dualbound = 2015526.303618, lowerbound=1104927.303618, norm of subgrad 42.184490	 stepsize= 1.000000 
-dualbound = 2015815.561066, lowerbound=1105584.561066, norm of subgrad 1052.208896	dualbound = 2015815.561066, lowerbound=1105584.561066, norm of subgrad 42.991365	 stepsize= 1.000000 
-dualbound = 2016110.309416, lowerbound=1103295.309416, norm of subgrad 1051.115269	dualbound = 2016110.309416, lowerbound=1103295.309416, norm of subgrad 42.927245	 stepsize= 1.000000 
-dualbound = 2016359.655267, lowerbound=1103198.655267, norm of subgrad 1051.081660	dualbound = 2016359.655267, lowerbound=1103198.655267, norm of subgrad 42.700654	 stepsize= 1.000000 
-dualbound = 2016637.445178, lowerbound=1106981.445178, norm of subgrad 1052.850628	dualbound = 2016637.445178, lowerbound=1106981.445178, norm of subgrad 42.317726	 stepsize= 1.000000 
-dualbound = 2016942.786197, lowerbound=1103649.786197, norm of subgrad 1051.259143	dualbound = 2016942.786197, lowerbound=1103649.786197, norm of subgrad 42.442208	 stepsize= 1.000000 
-dualbound = 2017212.912553, lowerbound=1105273.912553, norm of subgrad 1052.028000	dualbound = 2017212.912553, lowerbound=1105273.912553, norm of subgrad 41.941940	 stepsize= 1.000000 
-dualbound = 2017513.424145, lowerbound=1103199.424145, norm of subgrad 1051.024464	dualbound = 2017513.424145, lowerbound=1103199.424145, norm of subgrad 41.874952	 stepsize= 1.000000 
-dualbound = 2017785.011154, lowerbound=1106668.011154, norm of subgrad 1052.728365	dualbound = 2017785.011154, lowerbound=1106668.011154, norm of subgrad 42.902063	 stepsize= 1.000000 
-dualbound = 2018000.232547, lowerbound=1102581.232547, norm of subgrad 1050.821218	dualbound = 2018000.232547, lowerbound=1102581.232547, norm of subgrad 43.118690	 stepsize= 1.000000 
-dualbound = 2018287.141217, lowerbound=1106682.141217, norm of subgrad 1052.736501	dualbound = 2018287.141217, lowerbound=1106682.141217, norm of subgrad 43.115063	 stepsize= 1.000000 
-dualbound = 2018579.533436, lowerbound=1103004.533436, norm of subgrad 1050.987885	dualbound = 2018579.533436, lowerbound=1103004.533436, norm of subgrad 43.167027	 stepsize= 1.000000 
-dualbound = 2018863.630292, lowerbound=1104479.630292, norm of subgrad 1051.677056	dualbound = 2018863.630292, lowerbound=1104479.630292, norm of subgrad 42.767942	 stepsize= 1.000000 
-dualbound = 2019130.205661, lowerbound=1100943.205661, norm of subgrad 1049.972479	dualbound = 2019130.205661, lowerbound=1100943.205661, norm of subgrad 42.018750	 stepsize= 1.000000 
-dualbound = 2019417.783428, lowerbound=1103427.783428, norm of subgrad 1051.165441	dualbound = 2019417.783428, lowerbound=1103427.783428, norm of subgrad 42.527377	 stepsize= 1.000000 
-dualbound = 2019685.543072, lowerbound=1103470.543072, norm of subgrad 1051.197671	dualbound = 2019685.543072, lowerbound=1103470.543072, norm of subgrad 42.588257	 stepsize= 1.000000 
-dualbound = 2019972.141950, lowerbound=1108112.141950, norm of subgrad 1053.359930	dualbound = 2019972.141950, lowerbound=1108112.141950, norm of subgrad 41.732468	 stepsize= 1.000000 
-dualbound = 2020256.220562, lowerbound=1101815.220562, norm of subgrad 1050.403361	dualbound = 2020256.220562, lowerbound=1101815.220562, norm of subgrad 42.615474	 stepsize= 1.000000 
-dualbound = 2020520.878389, lowerbound=1104320.878389, norm of subgrad 1051.609185	dualbound = 2020520.878389, lowerbound=1104320.878389, norm of subgrad 42.727717	 stepsize= 1.000000 
-dualbound = 2020774.861702, lowerbound=1104041.861702, norm of subgrad 1051.477466	dualbound = 2020774.861702, lowerbound=1104041.861702, norm of subgrad 42.626087	 stepsize= 1.000000 
-dualbound = 2021063.134525, lowerbound=1104827.134525, norm of subgrad 1051.870303	dualbound = 2021063.134525, lowerbound=1104827.134525, norm of subgrad 43.500262	 stepsize= 1.000000 
-dualbound = 2021310.644490, lowerbound=1103918.644490, norm of subgrad 1051.408410	dualbound = 2021310.644490, lowerbound=1103918.644490, norm of subgrad 42.290779	 stepsize= 1.000000 
-dualbound = 2021634.772042, lowerbound=1104801.772042, norm of subgrad 1051.820218	dualbound = 2021634.772042, lowerbound=1104801.772042, norm of subgrad 42.989854	 stepsize= 1.000000 
-dualbound = 2021872.164914, lowerbound=1104309.164914, norm of subgrad 1051.606469	dualbound = 2021872.164914, lowerbound=1104309.164914, norm of subgrad 42.478146	 stepsize= 1.000000 
-dualbound = 2022158.806967, lowerbound=1106495.806967, norm of subgrad 1052.653698	dualbound = 2022158.806967, lowerbound=1106495.806967, norm of subgrad 43.250920	 stepsize= 1.000000 
-dualbound = 2022444.292026, lowerbound=1104375.292026, norm of subgrad 1051.645041	dualbound = 2022444.292026, lowerbound=1104375.292026, norm of subgrad 43.214408	 stepsize= 1.000000 
-dualbound = 2022715.469783, lowerbound=1102967.469783, norm of subgrad 1050.962640	dualbound = 2022715.469783, lowerbound=1102967.469783, norm of subgrad 42.733801	 stepsize= 1.000000 
-dualbound = 2022990.852477, lowerbound=1106435.852477, norm of subgrad 1052.619994	dualbound = 2022990.852477, lowerbound=1106435.852477, norm of subgrad 42.992821	 stepsize= 1.000000 
-dualbound = 2023269.391820, lowerbound=1105171.391820, norm of subgrad 1052.004939	dualbound = 2023269.391820, lowerbound=1105171.391820, norm of subgrad 42.679496	 stepsize= 1.000000 
-dualbound = 2023551.263669, lowerbound=1108205.263669, norm of subgrad 1053.421219	dualbound = 2023551.263669, lowerbound=1108205.263669, norm of subgrad 42.105485	 stepsize= 1.000000 
-dualbound = 2023840.203875, lowerbound=1102682.203875, norm of subgrad 1050.814067	dualbound = 2023840.203875, lowerbound=1102682.203875, norm of subgrad 42.625582	 stepsize= 1.000000 
-dualbound = 2024071.183068, lowerbound=1104319.183068, norm of subgrad 1051.597919	dualbound = 2024071.183068, lowerbound=1104319.183068, norm of subgrad 42.071121	 stepsize= 1.000000 
-dualbound = 2024387.975615, lowerbound=1103169.975615, norm of subgrad 1051.038047	dualbound = 2024387.975615, lowerbound=1103169.975615, norm of subgrad 42.752691	 stepsize= 1.000000 
-dualbound = 2024635.556026, lowerbound=1106390.556026, norm of subgrad 1052.617953	dualbound = 2024635.556026, lowerbound=1106390.556026, norm of subgrad 43.146036	 stepsize= 1.000000 
-dualbound = 2024922.354260, lowerbound=1105089.354260, norm of subgrad 1051.972126	dualbound = 2024922.354260, lowerbound=1105089.354260, norm of subgrad 42.927826	 stepsize= 1.000000 
-dualbound = 2025181.386452, lowerbound=1104739.386452, norm of subgrad 1051.769645	dualbound = 2025181.386452, lowerbound=1104739.386452, norm of subgrad 41.701705	 stepsize= 1.000000 
-dualbound = 2025463.256933, lowerbound=1105098.256933, norm of subgrad 1051.960673	dualbound = 2025463.256933, lowerbound=1105098.256933, norm of subgrad 42.483767	 stepsize= 1.000000 
-dualbound = 2025727.634535, lowerbound=1105572.634535, norm of subgrad 1052.164737	dualbound = 2025727.634535, lowerbound=1105572.634535, norm of subgrad 41.741797	 stepsize= 1.000000 
-dualbound = 2026016.005020, lowerbound=1105242.005020, norm of subgrad 1052.028044	dualbound = 2026016.005020, lowerbound=1105242.005020, norm of subgrad 42.536696	 stepsize= 1.000000 
-dualbound = 2026251.602462, lowerbound=1105178.602462, norm of subgrad 1052.050190	dualbound = 2026251.602462, lowerbound=1105178.602462, norm of subgrad 43.204137	 stepsize= 1.000000 
-dualbound = 2026531.729801, lowerbound=1104109.729801, norm of subgrad 1051.484536	dualbound = 2026531.729801, lowerbound=1104109.729801, norm of subgrad 42.309896	 stepsize= 1.000000 
-dualbound = 2026816.767300, lowerbound=1105151.767300, norm of subgrad 1051.996087	dualbound = 2026816.767300, lowerbound=1105151.767300, norm of subgrad 42.767248	 stepsize= 1.000000 
-dualbound = 2027082.976236, lowerbound=1103849.976236, norm of subgrad 1051.390972	dualbound = 2027082.976236, lowerbound=1103849.976236, norm of subgrad 42.885999	 stepsize= 1.000000 
-dualbound = 2027357.857048, lowerbound=1106630.857048, norm of subgrad 1052.713093	dualbound = 2027357.857048, lowerbound=1106630.857048, norm of subgrad 42.998614	 stepsize= 1.000000 
-dualbound = 2027620.871879, lowerbound=1104545.871879, norm of subgrad 1051.696663	dualbound = 2027620.871879, lowerbound=1104545.871879, norm of subgrad 42.225760	 stepsize= 1.000000 
-dualbound = 2027906.079029, lowerbound=1105734.079029, norm of subgrad 1052.296099	dualbound = 2027906.079029, lowerbound=1105734.079029, norm of subgrad 43.338287	 stepsize= 1.000000 
-dualbound = 2028170.282306, lowerbound=1102130.282306, norm of subgrad 1050.510011	dualbound = 2028170.282306, lowerbound=1102130.282306, norm of subgrad 41.294107	 stepsize= 1.000000 
-dualbound = 2028491.791422, lowerbound=1104819.791422, norm of subgrad 1051.803114	dualbound = 2028491.791422, lowerbound=1104819.791422, norm of subgrad 42.326223	 stepsize= 1.000000 
-dualbound = 2028716.242576, lowerbound=1106847.242576, norm of subgrad 1052.812064	dualbound = 2028716.242576, lowerbound=1106847.242576, norm of subgrad 42.313723	 stepsize= 1.000000 
-dualbound = 2029008.650591, lowerbound=1106745.650591, norm of subgrad 1052.760491	dualbound = 2029008.650591, lowerbound=1106745.650591, norm of subgrad 43.027991	 stepsize= 1.000000 
-dualbound = 2029262.714233, lowerbound=1105476.714233, norm of subgrad 1052.125332	dualbound = 2029262.714233, lowerbound=1105476.714233, norm of subgrad 41.773959	 stepsize= 1.000000 
-dualbound = 2029579.528248, lowerbound=1104313.528248, norm of subgrad 1051.571457	dualbound = 2029579.528248, lowerbound=1104313.528248, norm of subgrad 42.494870	 stepsize= 1.000000 
-dualbound = 2029816.749654, lowerbound=1106390.749654, norm of subgrad 1052.590970	dualbound = 2029816.749654, lowerbound=1106390.749654, norm of subgrad 42.358251	 stepsize= 1.000000 
-dualbound = 2030120.028112, lowerbound=1106954.028112, norm of subgrad 1052.844731	dualbound = 2030120.028112, lowerbound=1106954.028112, norm of subgrad 42.793439	 stepsize= 1.000000 
-dualbound = 2030364.230498, lowerbound=1102921.230498, norm of subgrad 1050.939689	dualbound = 2030364.230498, lowerbound=1102921.230498, norm of subgrad 42.393424	 stepsize= 1.000000 
-dualbound = 2030650.766820, lowerbound=1105592.766820, norm of subgrad 1052.195688	dualbound = 2030650.766820, lowerbound=1105592.766820, norm of subgrad 42.538645	 stepsize= 1.000000 
-dualbound = 2030903.853429, lowerbound=1108135.853429, norm of subgrad 1053.427194	dualbound = 2030903.853429, lowerbound=1108135.853429, norm of subgrad 42.732735	 stepsize= 1.000000 
-dualbound = 2031183.430338, lowerbound=1102989.430338, norm of subgrad 1050.967378	dualbound = 2031183.430338, lowerbound=1102989.430338, norm of subgrad 42.691649	 stepsize= 1.000000 
-dualbound = 2031461.551645, lowerbound=1107283.551645, norm of subgrad 1053.005485	dualbound = 2031461.551645, lowerbound=1107283.551645, norm of subgrad 42.604240	 stepsize= 1.000000 
-dualbound = 2031719.674466, lowerbound=1103159.674466, norm of subgrad 1051.027913	dualbound = 2031719.674466, lowerbound=1103159.674466, norm of subgrad 41.929975	 stepsize= 1.000000 
-dualbound = 2032009.741417, lowerbound=1109898.741417, norm of subgrad 1054.270241	dualbound = 2032009.741417, lowerbound=1109898.741417, norm of subgrad 43.325131	 stepsize= 1.000000 
-dualbound = 2032256.059335, lowerbound=1104408.059335, norm of subgrad 1051.660620	dualbound = 2032256.059335, lowerbound=1104408.059335, norm of subgrad 42.758834	 stepsize= 1.000000 
-dualbound = 2032541.958542, lowerbound=1102805.958542, norm of subgrad 1050.873427	dualbound = 2032541.958542, lowerbound=1102805.958542, norm of subgrad 42.601634	 stepsize= 1.000000 
-dualbound = 2032829.383685, lowerbound=1102773.383685, norm of subgrad 1050.872677	dualbound = 2032829.383685, lowerbound=1102773.383685, norm of subgrad 42.981684	 stepsize= 1.000000 
-dualbound = 2033101.634446, lowerbound=1108288.634446, norm of subgrad 1053.508725	dualbound = 2033101.634446, lowerbound=1108288.634446, norm of subgrad 43.176970	 stepsize= 1.000000 
-dualbound = 2033360.513906, lowerbound=1105702.513906, norm of subgrad 1052.245938	dualbound = 2033360.513906, lowerbound=1105702.513906, norm of subgrad 42.164908	 stepsize= 1.000000 
-dualbound = 2033642.770554, lowerbound=1109187.770554, norm of subgrad 1053.940592	dualbound = 2033642.770554, lowerbound=1109187.770554, norm of subgrad 43.419542	 stepsize= 1.000000 
-dualbound = 2033893.661484, lowerbound=1105065.661484, norm of subgrad 1051.949458	dualbound = 2033893.661484, lowerbound=1105065.661484, norm of subgrad 42.224293	 stepsize= 1.000000 
-dualbound = 2034188.531345, lowerbound=1102134.531345, norm of subgrad 1050.540590	dualbound = 2034188.531345, lowerbound=1102134.531345, norm of subgrad 42.377705	 stepsize= 1.000000 
-dualbound = 2034446.000214, lowerbound=1105859.000214, norm of subgrad 1052.341200	dualbound = 2034446.000214, lowerbound=1105859.000214, norm of subgrad 42.666953	 stepsize= 1.000000 
-dualbound = 2034710.308456, lowerbound=1108324.308456, norm of subgrad 1053.510469	dualbound = 2034710.308456, lowerbound=1108324.308456, norm of subgrad 42.711922	 stepsize= 1.000000 
-dualbound = 2035008.457037, lowerbound=1107616.457037, norm of subgrad 1053.169719	dualbound = 2035008.457037, lowerbound=1107616.457037, norm of subgrad 42.990099	 stepsize= 1.000000 
-dualbound = 2035267.337966, lowerbound=1102402.337966, norm of subgrad 1050.698500	dualbound = 2035267.337966, lowerbound=1102402.337966, norm of subgrad 42.706919	 stepsize= 1.000000 
-dualbound = 2035541.458196, lowerbound=1105544.458196, norm of subgrad 1052.171306	dualbound = 2035541.458196, lowerbound=1105544.458196, norm of subgrad 42.357056	 stepsize= 1.000000 
-dualbound = 2035811.358114, lowerbound=1108058.358114, norm of subgrad 1053.400853	dualbound = 2035811.358114, lowerbound=1108058.358114, norm of subgrad 43.184487	 stepsize= 1.000000 
-dualbound = 2036070.580821, lowerbound=1104308.580821, norm of subgrad 1051.612372	dualbound = 2036070.580821, lowerbound=1104308.580821, norm of subgrad 42.886160	 stepsize= 1.000000 
-dualbound = 2036350.641813, lowerbound=1105910.641813, norm of subgrad 1052.360509	dualbound = 2036350.641813, lowerbound=1105910.641813, norm of subgrad 42.802582	 stepsize= 1.000000 
-dualbound = 2036631.489220, lowerbound=1106511.489220, norm of subgrad 1052.642147	dualbound = 2036631.489220, lowerbound=1106511.489220, norm of subgrad 42.718233	 stepsize= 1.000000 
-dualbound = 2036891.239197, lowerbound=1104981.239197, norm of subgrad 1051.876057	dualbound = 2036891.239197, lowerbound=1104981.239197, norm of subgrad 41.493975	 stepsize= 1.000000 
-dualbound = 2037199.800053, lowerbound=1107244.800053, norm of subgrad 1052.976163	dualbound = 2037199.800053, lowerbound=1107244.800053, norm of subgrad 42.691461	 stepsize= 1.000000 
-dualbound = 2037443.872559, lowerbound=1106055.872559, norm of subgrad 1052.436161	dualbound = 2037443.872559, lowerbound=1106055.872559, norm of subgrad 42.544947	 stepsize= 1.000000 
-dualbound = 2037733.367471, lowerbound=1104868.367471, norm of subgrad 1051.843794	dualbound = 2037733.367471, lowerbound=1104868.367471, norm of subgrad 42.385079	 stepsize= 1.000000 
-dualbound = 2037996.590914, lowerbound=1106769.590914, norm of subgrad 1052.739090	dualbound = 2037996.590914, lowerbound=1106769.590914, norm of subgrad 41.871511	 stepsize= 1.000000 
-dualbound = 2038261.347039, lowerbound=1102792.347039, norm of subgrad 1050.865999	dualbound = 2038261.347039, lowerbound=1102792.347039, norm of subgrad 42.329140	 stepsize= 1.000000 
-dualbound = 2038511.332199, lowerbound=1109023.332199, norm of subgrad 1053.884876	dualbound = 2038511.332199, lowerbound=1109023.332199, norm of subgrad 43.588819	 stepsize= 1.000000 
-dualbound = 2038764.899478, lowerbound=1105039.899478, norm of subgrad 1051.951472	dualbound = 2038764.899478, lowerbound=1105039.899478, norm of subgrad 42.609474	 stepsize= 1.000000 
-dualbound = 2039068.131488, lowerbound=1107405.131488, norm of subgrad 1053.031401	dualbound = 2039068.131488, lowerbound=1107405.131488, norm of subgrad 42.109761	 stepsize= 1.000000 
-dualbound = 2039342.980216, lowerbound=1102495.980216, norm of subgrad 1050.727834	dualbound = 2039342.980216, lowerbound=1102495.980216, norm of subgrad 42.518804	 stepsize= 1.000000 
-dualbound = 2039630.199609, lowerbound=1106260.199609, norm of subgrad 1052.515178	dualbound = 2039630.199609, lowerbound=1106260.199609, norm of subgrad 42.605392	 stepsize= 1.000000 
-dualbound = 2039877.082072, lowerbound=1103901.082072, norm of subgrad 1051.432395	dualbound = 2039877.082072, lowerbound=1103901.082072, norm of subgrad 43.079954	 stepsize= 1.000000 
-dualbound = 2040135.136939, lowerbound=1109640.136939, norm of subgrad 1054.160394	dualbound = 2040135.136939, lowerbound=1109640.136939, norm of subgrad 43.267249	 stepsize= 1.000000 
-dualbound = 2040403.230866, lowerbound=1104471.230866, norm of subgrad 1051.682096	dualbound = 2040403.230866, lowerbound=1104471.230866, norm of subgrad 42.802966	 stepsize= 1.000000 
-dualbound = 2040691.550974, lowerbound=1109768.550974, norm of subgrad 1054.187626	dualbound = 2040691.550974, lowerbound=1109768.550974, norm of subgrad 42.793926	 stepsize= 1.000000 
-dualbound = 2040978.062478, lowerbound=1100589.062478, norm of subgrad 1049.822872	dualbound = 2040978.062478, lowerbound=1100589.062478, norm of subgrad 42.726005	 stepsize= 1.000000 
-dualbound = 2041243.540025, lowerbound=1110395.540025, norm of subgrad 1054.487809	dualbound = 2041243.540025, lowerbound=1110395.540025, norm of subgrad 42.596685	 stepsize= 1.000000 
-dualbound = 2041507.490943, lowerbound=1103540.490943, norm of subgrad 1051.238075	dualbound = 2041507.490943, lowerbound=1103540.490943, norm of subgrad 42.719444	 stepsize= 1.000000 
-dualbound = 2041802.801007, lowerbound=1110262.801007, norm of subgrad 1054.408271	dualbound = 2041802.801007, lowerbound=1110262.801007, norm of subgrad 42.535986	 stepsize= 1.000000 
-dualbound = 2042037.226849, lowerbound=1104905.226849, norm of subgrad 1051.884132	dualbound = 2042037.226849, lowerbound=1104905.226849, norm of subgrad 42.301606	 stepsize= 1.000000 
-dualbound = 2042317.367239, lowerbound=1106269.367239, norm of subgrad 1052.508132	dualbound = 2042317.367239, lowerbound=1106269.367239, norm of subgrad 42.239086	 stepsize= 1.000000 
-dualbound = 2042605.236569, lowerbound=1105832.236569, norm of subgrad 1052.293798	dualbound = 2042605.236569, lowerbound=1105832.236569, norm of subgrad 42.164788	 stepsize= 1.000000 
-dualbound = 2042871.994237, lowerbound=1110030.994237, norm of subgrad 1054.275104	dualbound = 2042871.994237, lowerbound=1110030.994237, norm of subgrad 41.614393	 stepsize= 1.000000 
-dualbound = 2043145.465257, lowerbound=1102457.465257, norm of subgrad 1050.701416	dualbound = 2043145.465257, lowerbound=1102457.465257, norm of subgrad 42.302140	 stepsize= 1.000000 
-dualbound = 2043386.498531, lowerbound=1109961.498531, norm of subgrad 1054.301901	dualbound = 2043386.498531, lowerbound=1109961.498531, norm of subgrad 42.802258	 stepsize= 1.000000 
-dualbound = 2043659.296025, lowerbound=1104204.296025, norm of subgrad 1051.562787	dualbound = 2043659.296025, lowerbound=1104204.296025, norm of subgrad 43.044134	 stepsize= 1.000000 
-dualbound = 2043925.851443, lowerbound=1104045.851443, norm of subgrad 1051.472706	dualbound = 2043925.851443, lowerbound=1104045.851443, norm of subgrad 42.609335	 stepsize= 1.000000 
-dualbound = 2044196.055773, lowerbound=1106977.055773, norm of subgrad 1052.884161	dualbound = 2044196.055773, lowerbound=1106977.055773, norm of subgrad 43.106894	 stepsize= 1.000000 
-dualbound = 2044473.851916, lowerbound=1108672.851916, norm of subgrad 1053.662115	dualbound = 2044473.851916, lowerbound=1108672.851916, norm of subgrad 42.529944	 stepsize= 1.000000 
-dualbound = 2044768.471854, lowerbound=1103808.471854, norm of subgrad 1051.352211	dualbound = 2044768.471854, lowerbound=1103808.471854, norm of subgrad 42.750672	 stepsize= 1.000000 
-dualbound = 2044990.629754, lowerbound=1110921.629754, norm of subgrad 1054.756669	dualbound = 2044990.629754, lowerbound=1110921.629754, norm of subgrad 42.569448	 stepsize= 1.000000 
-dualbound = 2045289.977005, lowerbound=1105383.977005, norm of subgrad 1052.093616	dualbound = 2045289.977005, lowerbound=1105383.977005, norm of subgrad 42.618626	 stepsize= 1.000000 
-dualbound = 2045556.164037, lowerbound=1103894.164037, norm of subgrad 1051.392013	dualbound = 2045556.164037, lowerbound=1103894.164037, norm of subgrad 42.393243	 stepsize= 1.000000 
-dualbound = 2045812.702139, lowerbound=1101313.702139, norm of subgrad 1050.174606	dualbound = 2045812.702139, lowerbound=1101313.702139, norm of subgrad 42.538666	 stepsize= 1.000000 
-dualbound = 2046087.584451, lowerbound=1106986.584451, norm of subgrad 1052.873964	dualbound = 2046087.584451, lowerbound=1106986.584451, norm of subgrad 42.800494	 stepsize= 1.000000 
-dualbound = 2046347.167214, lowerbound=1108251.167214, norm of subgrad 1053.503283	dualbound = 2046347.167214, lowerbound=1108251.167214, norm of subgrad 43.331083	 stepsize= 1.000000 
-dualbound = 2046624.828546, lowerbound=1107511.828546, norm of subgrad 1053.126217	dualbound = 2046624.828546, lowerbound=1107511.828546, norm of subgrad 42.902929	 stepsize= 1.000000 
-dualbound = 2046890.250895, lowerbound=1105477.250895, norm of subgrad 1052.154576	dualbound = 2046890.250895, lowerbound=1105477.250895, norm of subgrad 42.631237	 stepsize= 1.000000 
-dualbound = 2047175.920933, lowerbound=1108223.920933, norm of subgrad 1053.446212	dualbound = 2047175.920933, lowerbound=1108223.920933, norm of subgrad 42.551969	 stepsize= 1.000000 
-dualbound = 2047468.473216, lowerbound=1105009.473216, norm of subgrad 1051.918948	dualbound = 2047468.473216, lowerbound=1105009.473216, norm of subgrad 42.621031	 stepsize= 1.000000 
-dualbound = 2047713.355083, lowerbound=1107688.355083, norm of subgrad 1053.254649	dualbound = 2047713.355083, lowerbound=1107688.355083, norm of subgrad 43.610571	 stepsize= 1.000000 
-dualbound = 2047957.791862, lowerbound=1103851.791862, norm of subgrad 1051.395164	dualbound = 2047957.791862, lowerbound=1103851.791862, norm of subgrad 42.713426	 stepsize= 1.000000 
-dualbound = 2048260.185155, lowerbound=1109866.185155, norm of subgrad 1054.193618	dualbound = 2048260.185155, lowerbound=1109866.185155, norm of subgrad 41.957041	 stepsize= 1.000000 
-dualbound = 2048553.001101, lowerbound=1108664.001101, norm of subgrad 1053.633713	dualbound = 2048553.001101, lowerbound=1108664.001101, norm of subgrad 42.104821	 stepsize= 1.000000 
-dualbound = 2048798.385327, lowerbound=1105621.385327, norm of subgrad 1052.202160	dualbound = 2048798.385327, lowerbound=1105621.385327, norm of subgrad 41.873431	 stepsize= 1.000000 
-dualbound = 2049062.790710, lowerbound=1108286.790710, norm of subgrad 1053.514495	dualbound = 2049062.790710, lowerbound=1108286.790710, norm of subgrad 43.248184	 stepsize= 1.000000 
-dualbound = 2049307.283838, lowerbound=1102961.283838, norm of subgrad 1050.985863	dualbound = 2049307.283838, lowerbound=1102961.283838, norm of subgrad 43.063826	 stepsize= 1.000000 
-dualbound = 2049584.559099, lowerbound=1106412.559099, norm of subgrad 1052.611780	dualbound = 2049584.559099, lowerbound=1106412.559099, norm of subgrad 43.084513	 stepsize= 1.000000 
-dualbound = 2049882.872553, lowerbound=1108129.872553, norm of subgrad 1053.400623	dualbound = 2049882.872553, lowerbound=1108129.872553, norm of subgrad 42.676849	 stepsize= 1.000000 
-dualbound = 2050152.011959, lowerbound=1108522.011959, norm of subgrad 1053.600499	dualbound = 2050152.011959, lowerbound=1108522.011959, norm of subgrad 42.674810	 stepsize= 1.000000 
-dualbound = 2050407.749139, lowerbound=1103718.749139, norm of subgrad 1051.291467	dualbound = 2050407.749139, lowerbound=1103718.749139, norm of subgrad 41.841811	 stepsize= 1.000000 
-dualbound = 2050698.251763, lowerbound=1109748.251763, norm of subgrad 1054.172781	dualbound = 2050698.251763, lowerbound=1109748.251763, norm of subgrad 42.690779	 stepsize= 1.000000 
-dualbound = 2050930.030594, lowerbound=1106464.030594, norm of subgrad 1052.644779	dualbound = 2050930.030594, lowerbound=1106464.030594, norm of subgrad 42.764224	 stepsize= 1.000000 
-dualbound = 2051195.568760, lowerbound=1108182.568760, norm of subgrad 1053.440824	dualbound = 2051195.568760, lowerbound=1108182.568760, norm of subgrad 42.667765	 stepsize= 1.000000 
-dualbound = 2051491.094523, lowerbound=1104475.094523, norm of subgrad 1051.659210	dualbound = 2051491.094523, lowerbound=1104475.094523, norm of subgrad 42.515006	 stepsize= 1.000000 
-dualbound = 2051754.931658, lowerbound=1107721.931658, norm of subgrad 1053.216470	dualbound = 2051754.931658, lowerbound=1107721.931658, norm of subgrad 42.506907	 stepsize= 1.000000 
-dualbound = 2052024.718070, lowerbound=1109847.718070, norm of subgrad 1054.220431	dualbound = 2052024.718070, lowerbound=1109847.718070, norm of subgrad 42.459232	 stepsize= 1.000000 
-dualbound = 2052267.511270, lowerbound=1108631.511270, norm of subgrad 1053.670969	dualbound = 2052267.511270, lowerbound=1108631.511270, norm of subgrad 42.822812	 stepsize= 1.000000 
-dualbound = 2052564.176973, lowerbound=1107439.176973, norm of subgrad 1053.070832	dualbound = 2052564.176973, lowerbound=1107439.176973, norm of subgrad 42.610629	 stepsize= 1.000000 
-dualbound = 2052783.141801, lowerbound=1107081.141801, norm of subgrad 1052.954482	dualbound = 2052783.141801, lowerbound=1107081.141801, norm of subgrad 43.022841	 stepsize= 1.000000 
-dualbound = 2053064.160037, lowerbound=1109130.160037, norm of subgrad 1053.894283	dualbound = 2053064.160037, lowerbound=1109130.160037, norm of subgrad 42.942033	 stepsize= 1.000000 
-dualbound = 2053364.681603, lowerbound=1108041.681603, norm of subgrad 1053.352591	dualbound = 2053364.681603, lowerbound=1108041.681603, norm of subgrad 42.550224	 stepsize= 1.000000 
-dualbound = 2053615.371708, lowerbound=1106265.371708, norm of subgrad 1052.492932	dualbound = 2053615.371708, lowerbound=1106265.371708, norm of subgrad 41.553461	 stepsize= 1.000000 
-dualbound = 2053903.577707, lowerbound=1106555.577707, norm of subgrad 1052.664988	dualbound = 2053903.577707, lowerbound=1106555.577707, norm of subgrad 42.850974	 stepsize= 1.000000 
-dualbound = 2054156.937976, lowerbound=1109815.937976, norm of subgrad 1054.212473	dualbound = 2054156.937976, lowerbound=1109815.937976, norm of subgrad 42.442435	 stepsize= 1.000000 
-dualbound = 2054419.316351, lowerbound=1108634.316351, norm of subgrad 1053.646201	dualbound = 2054419.316351, lowerbound=1108634.316351, norm of subgrad 42.407292	 stepsize= 1.000000 
-dualbound = 2054704.288450, lowerbound=1107038.288450, norm of subgrad 1052.895193	dualbound = 2054704.288450, lowerbound=1107038.288450, norm of subgrad 42.836574	 stepsize= 1.000000 
-dualbound = 2054934.186307, lowerbound=1106123.186307, norm of subgrad 1052.433934	dualbound = 2054934.186307, lowerbound=1106123.186307, norm of subgrad 41.519849	 stepsize= 1.000000 
-dualbound = 2055253.878664, lowerbound=1105976.878664, norm of subgrad 1052.355396	dualbound = 2055253.878664, lowerbound=1105976.878664, norm of subgrad 42.363810	 stepsize= 1.000000 
-dualbound = 2055486.628448, lowerbound=1113232.628448, norm of subgrad 1055.829356	dualbound = 2055486.628448, lowerbound=1113232.628448, norm of subgrad 42.139646	 stepsize= 1.000000 
-dualbound = 2055745.102508, lowerbound=1105997.102508, norm of subgrad 1052.438170	dualbound = 2055745.102508, lowerbound=1105997.102508, norm of subgrad 43.445069	 stepsize= 1.000000 
-dualbound = 2055970.913663, lowerbound=1107843.913663, norm of subgrad 1053.338936	dualbound = 2055970.913663, lowerbound=1107843.913663, norm of subgrad 43.644142	 stepsize= 1.000000 
-dualbound = 2056270.529332, lowerbound=1105740.529332, norm of subgrad 1052.277781	dualbound = 2056270.529332, lowerbound=1105740.529332, norm of subgrad 42.983900	 stepsize= 1.000000 
-dualbound = 2056539.843072, lowerbound=1108743.843072, norm of subgrad 1053.736135	dualbound = 2056539.843072, lowerbound=1108743.843072, norm of subgrad 43.420200	 stepsize= 1.000000 
-dualbound = 2056791.612077, lowerbound=1107968.612077, norm of subgrad 1053.358729	dualbound = 2056791.612077, lowerbound=1107968.612077, norm of subgrad 42.985684	 stepsize= 1.000000 
-dualbound = 2057081.003279, lowerbound=1107914.003279, norm of subgrad 1053.294832	dualbound = 2057081.003279, lowerbound=1107914.003279, norm of subgrad 42.489895	 stepsize= 1.000000 
-dualbound = 2057362.425886, lowerbound=1109452.425886, norm of subgrad 1054.027242	dualbound = 2057362.425886, lowerbound=1109452.425886, norm of subgrad 42.454948	 stepsize= 1.000000 
-dualbound = 2057594.733474, lowerbound=1111093.733474, norm of subgrad 1054.817867	dualbound = 2057594.733474, lowerbound=1111093.733474, norm of subgrad 42.181840	 stepsize= 1.000000 
-dualbound = 2057893.494360, lowerbound=1106507.494360, norm of subgrad 1052.632649	dualbound = 2057893.494360, lowerbound=1106507.494360, norm of subgrad 42.740623	 stepsize= 1.000000 
-dualbound = 2058132.779273, lowerbound=1107613.779273, norm of subgrad 1053.157528	dualbound = 2058132.779273, lowerbound=1107613.779273, norm of subgrad 42.027193	 stepsize= 1.000000 
-dualbound = 2058445.577188, lowerbound=1106022.577188, norm of subgrad 1052.403239	dualbound = 2058445.577188, lowerbound=1106022.577188, norm of subgrad 42.927822	 stepsize= 1.000000 
-dualbound = 2058640.815093, lowerbound=1108609.815093, norm of subgrad 1053.654979	dualbound = 2058640.815093, lowerbound=1108609.815093, norm of subgrad 42.121703	 stepsize= 1.000000 
-dualbound = 2058948.590046, lowerbound=1108468.590046, norm of subgrad 1053.563757	dualbound = 2058948.590046, lowerbound=1108468.590046, norm of subgrad 42.845944	 stepsize= 1.000000 
-dualbound = 2059182.829710, lowerbound=1110813.829710, norm of subgrad 1054.711254	dualbound = 2059182.829710, lowerbound=1110813.829710, norm of subgrad 42.851367	 stepsize= 1.000000 
-dualbound = 2059442.030009, lowerbound=1107930.030009, norm of subgrad 1053.352757	dualbound = 2059442.030009, lowerbound=1107930.030009, norm of subgrad 43.372806	 stepsize= 1.000000 
-dualbound = 2059721.426287, lowerbound=1107698.426287, norm of subgrad 1053.211007	dualbound = 2059721.426287, lowerbound=1107698.426287, norm of subgrad 42.829853	 stepsize= 1.000000 
-dualbound = 2059999.404991, lowerbound=1106953.404991, norm of subgrad 1052.868180	dualbound = 2059999.404991, lowerbound=1106953.404991, norm of subgrad 43.081071	 stepsize= 1.000000 
-dualbound = 2060243.880200, lowerbound=1110150.880200, norm of subgrad 1054.387443	dualbound = 2060243.880200, lowerbound=1110150.880200, norm of subgrad 42.737281	 stepsize= 1.000000 
-dualbound = 2060540.294548, lowerbound=1107687.294548, norm of subgrad 1053.209521	dualbound = 2060540.294548, lowerbound=1107687.294548, norm of subgrad 43.120927	 stepsize= 1.000000 
-dualbound = 2060782.910525, lowerbound=1107679.910525, norm of subgrad 1053.187025	dualbound = 2060782.910525, lowerbound=1107679.910525, norm of subgrad 42.019233	 stepsize= 1.000000 
-dualbound = 2061067.193812, lowerbound=1111161.193812, norm of subgrad 1054.820456	dualbound = 2061067.193812, lowerbound=1111161.193812, norm of subgrad 42.062849	 stepsize= 1.000000 
-dualbound = 2061325.587640, lowerbound=1104896.587640, norm of subgrad 1051.844850	dualbound = 2061325.587640, lowerbound=1104896.587640, norm of subgrad 41.706041	 stepsize= 1.000000 
-dualbound = 2061592.316917, lowerbound=1109062.316917, norm of subgrad 1053.830782	dualbound = 2061592.316917, lowerbound=1109062.316917, norm of subgrad 41.996777	 stepsize= 1.000000 
-dualbound = 2061871.715195, lowerbound=1103944.715195, norm of subgrad 1051.437452	dualbound = 2061871.715195, lowerbound=1103944.715195, norm of subgrad 43.074334	 stepsize= 1.000000 
-dualbound = 2062084.103338, lowerbound=1111381.103338, norm of subgrad 1054.976352	dualbound = 2062084.103338, lowerbound=1111381.103338, norm of subgrad 42.501625	 stepsize= 1.000000 
-dualbound = 2062387.648797, lowerbound=1109793.648797, norm of subgrad 1054.221347	dualbound = 2062387.648797, lowerbound=1109793.648797, norm of subgrad 43.503396	 stepsize= 1.000000 
-dualbound = 2062629.322342, lowerbound=1108968.322342, norm of subgrad 1053.821295	dualbound = 2062629.322342, lowerbound=1108968.322342, norm of subgrad 42.575504	 stepsize= 1.000000 
-dualbound = 2062896.761673, lowerbound=1111423.761673, norm of subgrad 1054.981877	dualbound = 2062896.761673, lowerbound=1111423.761673, norm of subgrad 42.783634	 stepsize= 1.000000 
-dualbound = 2063177.645622, lowerbound=1105766.645622, norm of subgrad 1052.269759	dualbound = 2063177.645622, lowerbound=1105766.645622, norm of subgrad 42.259720	 stepsize= 1.000000 
-dualbound = 2063438.716315, lowerbound=1106493.716315, norm of subgrad 1052.606629	dualbound = 2063438.716315, lowerbound=1106493.716315, norm of subgrad 41.809935	 stepsize= 1.000000 
-dualbound = 2063717.025517, lowerbound=1109827.025517, norm of subgrad 1054.205400	dualbound = 2063717.025517, lowerbound=1109827.025517, norm of subgrad 42.430051	 stepsize= 1.000000 
-dualbound = 2063993.953484, lowerbound=1108307.953484, norm of subgrad 1053.461415	dualbound = 2063993.953484, lowerbound=1108307.953484, norm of subgrad 41.832140	 stepsize= 1.000000 
-dualbound = 2064253.564051, lowerbound=1108283.564051, norm of subgrad 1053.490182	dualbound = 2064253.564051, lowerbound=1108283.564051, norm of subgrad 42.633444	 stepsize= 1.000000 
-dualbound = 2064504.991660, lowerbound=1111072.991660, norm of subgrad 1054.789549	dualbound = 2064504.991660, lowerbound=1111072.991660, norm of subgrad 41.945531	 stepsize= 1.000000 
-dualbound = 2064788.294390, lowerbound=1105382.294390, norm of subgrad 1052.072381	dualbound = 2064788.294390, lowerbound=1105382.294390, norm of subgrad 41.920195	 stepsize= 1.000000 
-dualbound = 2065041.901125, lowerbound=1109426.901125, norm of subgrad 1054.021300	dualbound = 2065041.901125, lowerbound=1109426.901125, norm of subgrad 42.280099	 stepsize= 1.000000 
-dualbound = 2065301.266361, lowerbound=1105386.266361, norm of subgrad 1052.139851	dualbound = 2065301.266361, lowerbound=1105386.266361, norm of subgrad 43.259279	 stepsize= 1.000000 
-dualbound = 2065521.306689, lowerbound=1112272.306689, norm of subgrad 1055.401965	dualbound = 2065521.306689, lowerbound=1112272.306689, norm of subgrad 42.673649	 stepsize= 1.000000 
-dualbound = 2065786.626510, lowerbound=1111450.626510, norm of subgrad 1055.008354	dualbound = 2065786.626510, lowerbound=1111450.626510, norm of subgrad 43.096634	 stepsize= 1.000000 
-dualbound = 2066070.736887, lowerbound=1109148.736887, norm of subgrad 1053.895506	dualbound = 2066070.736887, lowerbound=1109148.736887, norm of subgrad 42.791476	 stepsize= 1.000000 
-dualbound = 2066348.103398, lowerbound=1109167.103398, norm of subgrad 1053.893782	dualbound = 2066348.103398, lowerbound=1109167.103398, norm of subgrad 42.454287	 stepsize= 1.000000 
-dualbound = 2066620.287173, lowerbound=1107417.287173, norm of subgrad 1053.068985	dualbound = 2066620.287173, lowerbound=1107417.287173, norm of subgrad 42.534501	 stepsize= 1.000000 
-dualbound = 2066868.576769, lowerbound=1110148.576769, norm of subgrad 1054.357424	dualbound = 2066868.576769, lowerbound=1110148.576769, norm of subgrad 42.062924	 stepsize= 1.000000 
-dualbound = 2067149.910151, lowerbound=1107759.910151, norm of subgrad 1053.206015	dualbound = 2067149.910151, lowerbound=1107759.910151, norm of subgrad 42.003969	 stepsize= 1.000000 
-dualbound = 2067415.559391, lowerbound=1107254.559391, norm of subgrad 1052.980797	dualbound = 2067415.559391, lowerbound=1107254.559391, norm of subgrad 42.185889	 stepsize= 1.000000 
-dualbound = 2067645.910989, lowerbound=1106753.910989, norm of subgrad 1052.761564	dualbound = 2067645.910989, lowerbound=1106753.910989, norm of subgrad 42.229748	 stepsize= 1.000000 
-dualbound = 2067935.202028, lowerbound=1111240.202028, norm of subgrad 1054.862172	dualbound = 2067935.202028, lowerbound=1111240.202028, norm of subgrad 42.229031	 stepsize= 1.000000 
-dualbound = 2068203.472509, lowerbound=1108838.472509, norm of subgrad 1053.733587	dualbound = 2068203.472509, lowerbound=1108838.472509, norm of subgrad 42.240626	 stepsize= 1.000000 
-dualbound = 2068425.643831, lowerbound=1112973.643831, norm of subgrad 1055.759747	dualbound = 2068425.643831, lowerbound=1112973.643831, norm of subgrad 43.326335	 stepsize= 1.000000 
-dualbound = 2068687.122739, lowerbound=1108199.122739, norm of subgrad 1053.457224	dualbound = 2068687.122739, lowerbound=1108199.122739, norm of subgrad 42.830817	 stepsize= 1.000000 
-dualbound = 2068966.135961, lowerbound=1111839.135961, norm of subgrad 1055.155977	dualbound = 2068966.135961, lowerbound=1111839.135961, norm of subgrad 42.355793	 stepsize= 1.000000 
-dualbound = 2069254.107933, lowerbound=1109071.107933, norm of subgrad 1053.852982	dualbound = 2069254.107933, lowerbound=1109071.107933, norm of subgrad 42.696276	 stepsize= 1.000000 
-dualbound = 2069486.369717, lowerbound=1108192.369717, norm of subgrad 1053.451171	dualbound = 2069486.369717, lowerbound=1108192.369717, norm of subgrad 42.417706	 stepsize= 1.000000 
-dualbound = 2069777.160921, lowerbound=1107503.160921, norm of subgrad 1053.090291	dualbound = 2069777.160921, lowerbound=1107503.160921, norm of subgrad 42.270453	 stepsize= 1.000000 
-dualbound = 2070021.267621, lowerbound=1111936.267621, norm of subgrad 1055.202477	dualbound = 2070021.267621, lowerbound=1111936.267621, norm of subgrad 41.953626	 stepsize= 1.000000 
-dualbound = 2070292.881887, lowerbound=1108650.881887, norm of subgrad 1053.615149	dualbound = 2070292.881887, lowerbound=1108650.881887, norm of subgrad 41.540514	 stepsize= 1.000000 
-dualbound = 2070576.670984, lowerbound=1108651.670984, norm of subgrad 1053.648267	dualbound = 2070576.670984, lowerbound=1108651.670984, norm of subgrad 42.506342	 stepsize= 1.000000 
-dualbound = 2070779.106769, lowerbound=1107949.106769, norm of subgrad 1053.340452	dualbound = 2070779.106769, lowerbound=1107949.106769, norm of subgrad 42.183359	 stepsize= 1.000000 
-dualbound = 2071063.045174, lowerbound=1110812.045174, norm of subgrad 1054.677223	dualbound = 2071063.045174, lowerbound=1110812.045174, norm of subgrad 42.613829	 stepsize= 1.000000 
-dualbound = 2071322.385158, lowerbound=1108678.385158, norm of subgrad 1053.660944	dualbound = 2071322.385158, lowerbound=1108678.385158, norm of subgrad 42.217769	 stepsize= 1.000000 
-dualbound = 2071619.791884, lowerbound=1109366.791884, norm of subgrad 1053.985195	dualbound = 2071619.791884, lowerbound=1109366.791884, norm of subgrad 42.607590	 stepsize= 1.000000 
-dualbound = 2071852.452522, lowerbound=1109634.452522, norm of subgrad 1054.112163	dualbound = 2071852.452522, lowerbound=1109634.452522, norm of subgrad 41.840897	 stepsize= 1.000000 
-dualbound = 2072127.434232, lowerbound=1107348.434232, norm of subgrad 1053.019674	dualbound = 2072127.434232, lowerbound=1107348.434232, norm of subgrad 42.154261	 stepsize= 1.000000 
-dualbound = 2072367.544774, lowerbound=1111949.544774, norm of subgrad 1055.210190	dualbound = 2072367.544774, lowerbound=1111949.544774, norm of subgrad 41.941752	 stepsize= 1.000000 
-dualbound = 2072652.564702, lowerbound=1107711.564702, norm of subgrad 1053.196831	dualbound = 2072652.564702, lowerbound=1107711.564702, norm of subgrad 42.391272	 stepsize= 1.000000 
-dualbound = 2072900.732425, lowerbound=1110471.732425, norm of subgrad 1054.513031	dualbound = 2072900.732425, lowerbound=1110471.732425, norm of subgrad 42.120870	 stepsize= 1.000000 
-dualbound = 2073164.350421, lowerbound=1109609.350421, norm of subgrad 1054.134882	dualbound = 2073164.350421, lowerbound=1109609.350421, norm of subgrad 43.065276	 stepsize= 1.000000 
-dualbound = 2073432.630334, lowerbound=1108893.630334, norm of subgrad 1053.752642	dualbound = 2073432.630334, lowerbound=1108893.630334, norm of subgrad 42.062809	 stepsize= 1.000000 
-dualbound = 2073703.506111, lowerbound=1109081.506111, norm of subgrad 1053.845105	dualbound = 2073703.506111, lowerbound=1109081.506111, norm of subgrad 42.176721	 stepsize= 1.000000 
-dualbound = 2073955.717106, lowerbound=1109134.717106, norm of subgrad 1053.904036	dualbound = 2073955.717106, lowerbound=1109134.717106, norm of subgrad 42.792651	 stepsize= 1.000000 
-dualbound = 2074217.478141, lowerbound=1110240.478141, norm of subgrad 1054.417601	dualbound = 2074217.478141, lowerbound=1110240.478141, norm of subgrad 42.635209	 stepsize= 1.000000 
-dualbound = 2074459.359955, lowerbound=1109044.359955, norm of subgrad 1053.849781	dualbound = 2074459.359955, lowerbound=1109044.359955, norm of subgrad 42.389643	 stepsize= 1.000000 
-dualbound = 2074736.119504, lowerbound=1108830.119504, norm of subgrad 1053.737216	dualbound = 2074736.119504, lowerbound=1108830.119504, norm of subgrad 42.529514	 stepsize= 1.000000 
-dualbound = 2075010.295545, lowerbound=1111191.295545, norm of subgrad 1054.856528	dualbound = 2075010.295545, lowerbound=1111191.295545, norm of subgrad 42.487363	 stepsize= 1.000000 
-dualbound = 2075278.555558, lowerbound=1111003.555558, norm of subgrad 1054.797874	dualbound = 2075278.555558, lowerbound=1111003.555558, norm of subgrad 43.165496	 stepsize= 1.000000 
-dualbound = 2075513.262036, lowerbound=1108845.262036, norm of subgrad 1053.792324	dualbound = 2075513.262036, lowerbound=1108845.262036, norm of subgrad 43.216970	 stepsize= 1.000000 
-dualbound = 2075792.756606, lowerbound=1109443.756606, norm of subgrad 1054.018385	dualbound = 2075792.756606, lowerbound=1109443.756606, norm of subgrad 42.314236	 stepsize= 1.000000 
-dualbound = 2076072.297908, lowerbound=1109547.297908, norm of subgrad 1054.051373	dualbound = 2076072.297908, lowerbound=1109547.297908, norm of subgrad 41.911112	 stepsize= 1.000000 
-dualbound = 2076317.300236, lowerbound=1109897.300236, norm of subgrad 1054.233987	dualbound = 2076317.300236, lowerbound=1109897.300236, norm of subgrad 41.916612	 stepsize= 1.000000 
-dualbound = 2076568.513778, lowerbound=1114035.513778, norm of subgrad 1056.184413	dualbound = 2076568.513778, lowerbound=1114035.513778, norm of subgrad 41.727851	 stepsize= 1.000000 
-dualbound = 2076831.418319, lowerbound=1109138.418319, norm of subgrad 1053.891085	dualbound = 2076831.418319, lowerbound=1109138.418319, norm of subgrad 42.554724	 stepsize= 1.000000 
-dualbound = 2077089.966506, lowerbound=1111896.966506, norm of subgrad 1055.169639	dualbound = 2077089.966506, lowerbound=1111896.966506, norm of subgrad 41.767789	 stepsize= 1.000000 
-dualbound = 2077367.795947, lowerbound=1107160.795947, norm of subgrad 1052.946720	dualbound = 2077367.795947, lowerbound=1107160.795947, norm of subgrad 42.589077	 stepsize= 1.000000 
-dualbound = 2077601.223358, lowerbound=1112179.223358, norm of subgrad 1055.336071	dualbound = 2077601.223358, lowerbound=1112179.223358, norm of subgrad 42.289803	 stepsize= 1.000000 
-dualbound = 2077855.398188, lowerbound=1110341.398188, norm of subgrad 1054.482526	dualbound = 2077855.398188, lowerbound=1110341.398188, norm of subgrad 42.967137	 stepsize= 1.000000 
-dualbound = 2078110.095960, lowerbound=1109145.095960, norm of subgrad 1053.907062	dualbound = 2078110.095960, lowerbound=1109145.095960, norm of subgrad 42.774967	 stepsize= 1.000000 
-dualbound = 2078373.268920, lowerbound=1107942.268920, norm of subgrad 1053.357142	dualbound = 2078373.268920, lowerbound=1107942.268920, norm of subgrad 43.384017	 stepsize= 1.000000 
-dualbound = 2078651.142537, lowerbound=1113617.142537, norm of subgrad 1056.021374	dualbound = 2078651.142537, lowerbound=1113617.142537, norm of subgrad 42.917055	 stepsize= 1.000000 
-dualbound = 2078917.929412, lowerbound=1106859.929412, norm of subgrad 1052.806216	dualbound = 2078917.929412, lowerbound=1106859.929412, norm of subgrad 42.518077	 stepsize= 1.000000 
-dualbound = 2079169.109829, lowerbound=1113894.109829, norm of subgrad 1056.154397	dualbound = 2079169.109829, lowerbound=1113894.109829, norm of subgrad 42.651851	 stepsize= 1.000000 
-dualbound = 2079433.436980, lowerbound=1108831.436980, norm of subgrad 1053.751601	dualbound = 2079433.436980, lowerbound=1108831.436980, norm of subgrad 42.723848	 stepsize= 1.000000 
-dualbound = 2079679.353070, lowerbound=1112281.353070, norm of subgrad 1055.388721	dualbound = 2079679.353070, lowerbound=1112281.353070, norm of subgrad 42.543109	 stepsize= 1.000000 
-dualbound = 2079950.043168, lowerbound=1110799.043168, norm of subgrad 1054.673430	dualbound = 2079950.043168, lowerbound=1110799.043168, norm of subgrad 42.516939	 stepsize= 1.000000 
-dualbound = 2080206.545438, lowerbound=1111859.545438, norm of subgrad 1055.180812	dualbound = 2080206.545438, lowerbound=1111859.545438, norm of subgrad 42.467661	 stepsize= 1.000000 
-dualbound = 2080488.424241, lowerbound=1107216.424241, norm of subgrad 1052.963639	dualbound = 2080488.424241, lowerbound=1107216.424241, norm of subgrad 42.401401	 stepsize= 1.000000 
-dualbound = 2080727.413394, lowerbound=1110013.413394, norm of subgrad 1054.335057	dualbound = 2080727.413394, lowerbound=1110013.413394, norm of subgrad 42.988244	 stepsize= 1.000000 
-dualbound = 2080982.218460, lowerbound=1110615.218460, norm of subgrad 1054.585330	dualbound = 2080982.218460, lowerbound=1110615.218460, norm of subgrad 42.306088	 stepsize= 1.000000 
-dualbound = 2081264.961383, lowerbound=1112425.961383, norm of subgrad 1055.416961	dualbound = 2081264.961383, lowerbound=1112425.961383, norm of subgrad 41.973121	 stepsize= 1.000000 
-dualbound = 2081526.465940, lowerbound=1108507.465940, norm of subgrad 1053.590274	dualbound = 2081526.465940, lowerbound=1108507.465940, norm of subgrad 42.502995	 stepsize= 1.000000 
-dualbound = 2081731.651209, lowerbound=1111021.651209, norm of subgrad 1054.820673	dualbound = 2081731.651209, lowerbound=1111021.651209, norm of subgrad 42.780665	 stepsize= 1.000000 
-dualbound = 2082019.210356, lowerbound=1112653.210356, norm of subgrad 1055.513245	dualbound = 2082019.210356, lowerbound=1112653.210356, norm of subgrad 41.743971	 stepsize= 1.000000 
-dualbound = 2082297.505297, lowerbound=1105999.505297, norm of subgrad 1052.397503	dualbound = 2082297.505297, lowerbound=1105999.505297, norm of subgrad 42.653194	 stepsize= 1.000000 
-dualbound = 2082533.858488, lowerbound=1113234.858488, norm of subgrad 1055.840830	dualbound = 2082533.858488, lowerbound=1113234.858488, norm of subgrad 42.442351	 stepsize= 1.000000 
-dualbound = 2082797.007544, lowerbound=1113582.007544, norm of subgrad 1055.975382	dualbound = 2082797.007544, lowerbound=1113582.007544, norm of subgrad 42.013677	 stepsize= 1.000000 
-dualbound = 2083048.467994, lowerbound=1108796.467994, norm of subgrad 1053.711758	dualbound = 2083048.467994, lowerbound=1108796.467994, norm of subgrad 41.993576	 stepsize= 1.000000 
-dualbound = 2083331.186535, lowerbound=1109783.186535, norm of subgrad 1054.175121	dualbound = 2083331.186535, lowerbound=1109783.186535, norm of subgrad 42.245929	 stepsize= 1.000000 
-dualbound = 2083554.442576, lowerbound=1108390.442576, norm of subgrad 1053.569857	dualbound = 2083554.442576, lowerbound=1108390.442576, norm of subgrad 42.921510	 stepsize= 1.000000 
-dualbound = 2083816.145617, lowerbound=1114110.145617, norm of subgrad 1056.253826	dualbound = 2083816.145617, lowerbound=1114110.145617, norm of subgrad 42.704836	 stepsize= 1.000000 
-dualbound = 2084081.272274, lowerbound=1113685.272274, norm of subgrad 1056.060733	dualbound = 2084081.272274, lowerbound=1113685.272274, norm of subgrad 42.943296	 stepsize= 1.000000 
-dualbound = 2084322.595629, lowerbound=1111637.595629, norm of subgrad 1055.085113	dualbound = 2084322.595629, lowerbound=1111637.595629, norm of subgrad 42.524385	 stepsize= 1.000000 
-dualbound = 2084615.660656, lowerbound=1114434.660656, norm of subgrad 1056.361520	dualbound = 2084615.660656, lowerbound=1114434.660656, norm of subgrad 41.929286	 stepsize= 1.000000 
-dualbound = 2084872.199378, lowerbound=1111796.199378, norm of subgrad 1055.121415	dualbound = 2084872.199378, lowerbound=1111796.199378, norm of subgrad 41.731747	 stepsize= 1.000000 
-dualbound = 2085106.742728, lowerbound=1111901.742728, norm of subgrad 1055.215496	dualbound = 2085106.742728, lowerbound=1111901.742728, norm of subgrad 42.573975	 stepsize= 1.000000 
-dualbound = 2085393.358667, lowerbound=1106355.358667, norm of subgrad 1052.558957	dualbound = 2085393.358667, lowerbound=1106355.358667, norm of subgrad 42.563082	 stepsize= 1.000000 
-dualbound = 2085658.392777, lowerbound=1112013.392777, norm of subgrad 1055.208222	dualbound = 2085658.392777, lowerbound=1112013.392777, norm of subgrad 41.425042	 stepsize= 1.000000 
-dualbound = 2085914.440115, lowerbound=1107781.440115, norm of subgrad 1053.212913	dualbound = 2085914.440115, lowerbound=1107781.440115, norm of subgrad 41.617873	 stepsize= 1.000000 
-dualbound = 2086168.809684, lowerbound=1115624.809684, norm of subgrad 1056.936994	dualbound = 2086168.809684, lowerbound=1115624.809684, norm of subgrad 41.777620	 stepsize= 1.000000 
-dualbound = 2086427.083157, lowerbound=1110380.083157, norm of subgrad 1054.452030	dualbound = 2086427.083157, lowerbound=1110380.083157, norm of subgrad 41.800400	 stepsize= 1.000000 
-dualbound = 2086656.084276, lowerbound=1112424.084276, norm of subgrad 1055.462972	dualbound = 2086656.084276, lowerbound=1112424.084276, norm of subgrad 42.508836	 stepsize= 1.000000 
-dualbound = 2086907.799903, lowerbound=1111357.799903, norm of subgrad 1054.913646	dualbound = 2086907.799903, lowerbound=1111357.799903, norm of subgrad 41.673920	 stepsize= 1.000000 
-dualbound = 2087203.572951, lowerbound=1112162.572951, norm of subgrad 1055.313969	dualbound = 2087203.572951, lowerbound=1112162.572951, norm of subgrad 42.670517	 stepsize= 1.000000 
-dualbound = 2087425.704906, lowerbound=1111185.704906, norm of subgrad 1054.860040	dualbound = 2087425.704906, lowerbound=1111185.704906, norm of subgrad 42.025373	 stepsize= 1.000000 
-dualbound = 2087706.376435, lowerbound=1112049.376435, norm of subgrad 1055.259388	dualbound = 2087706.376435, lowerbound=1112049.376435, norm of subgrad 42.469654	 stepsize= 1.000000 
-dualbound = 2087935.942358, lowerbound=1115136.942358, norm of subgrad 1056.751126	dualbound = 2087935.942358, lowerbound=1115136.942358, norm of subgrad 42.609458	 stepsize= 1.000000 
-dualbound = 2088205.009495, lowerbound=1108974.009495, norm of subgrad 1053.808811	dualbound = 2088205.009495, lowerbound=1108974.009495, norm of subgrad 42.521373	 stepsize= 1.000000 
-dualbound = 2088484.605161, lowerbound=1113589.605161, norm of subgrad 1055.972824	dualbound = 2088484.605161, lowerbound=1113589.605161, norm of subgrad 42.054675	 stepsize= 1.000000 
-dualbound = 2088733.502052, lowerbound=1109038.502052, norm of subgrad 1053.874519	dualbound = 2088733.502052, lowerbound=1109038.502052, norm of subgrad 43.149703	 stepsize= 1.000000 
-dualbound = 2088945.608008, lowerbound=1116320.608008, norm of subgrad 1057.293057	dualbound = 2088945.608008, lowerbound=1116320.608008, norm of subgrad 41.953617	 stepsize= 1.000000 
-dualbound = 2089255.278297, lowerbound=1110450.278297, norm of subgrad 1054.503333	dualbound = 2089255.278297, lowerbound=1110450.278297, norm of subgrad 42.856391	 stepsize= 1.000000 
-dualbound = 2089486.699699, lowerbound=1115470.699699, norm of subgrad 1056.868819	dualbound = 2089486.699699, lowerbound=1115470.699699, norm of subgrad 41.622367	 stepsize= 1.000000 
-dualbound = 2089778.125611, lowerbound=1110637.125611, norm of subgrad 1054.569640	dualbound = 2089778.125611, lowerbound=1110637.125611, norm of subgrad 42.088311	 stepsize= 1.000000 
-dualbound = 2090002.054402, lowerbound=1111281.054402, norm of subgrad 1054.900021	dualbound = 2090002.054402, lowerbound=1111281.054402, norm of subgrad 41.915734	 stepsize= 1.000000 
-dualbound = 2090265.980601, lowerbound=1112182.980601, norm of subgrad 1055.333587	dualbound = 2090265.980601, lowerbound=1112182.980601, norm of subgrad 42.543227	 stepsize= 1.000000 
-dualbound = 2090540.516330, lowerbound=1110496.516330, norm of subgrad 1054.536162	dualbound = 2090540.516330, lowerbound=1110496.516330, norm of subgrad 42.714585	 stepsize= 1.000000 
-dualbound = 2090783.532040, lowerbound=1109006.532040, norm of subgrad 1053.836577	dualbound = 2090783.532040, lowerbound=1109006.532040, norm of subgrad 42.520768	 stepsize= 1.000000 
-dualbound = 2091035.918263, lowerbound=1113681.918263, norm of subgrad 1056.038786	dualbound = 2091035.918263, lowerbound=1113681.918263, norm of subgrad 42.289316	 stepsize= 1.000000 
-dualbound = 2091317.652668, lowerbound=1111054.652668, norm of subgrad 1054.791284	dualbound = 2091317.652668, lowerbound=1111054.652668, norm of subgrad 42.564474	 stepsize= 1.000000 
-dualbound = 2091564.515005, lowerbound=1114416.515005, norm of subgrad 1056.355771	dualbound = 2091564.515005, lowerbound=1114416.515005, norm of subgrad 41.447103	 stepsize= 1.000000 
-dualbound = 2091809.290084, lowerbound=1110961.290084, norm of subgrad 1054.742286	dualbound = 2091809.290084, lowerbound=1110961.290084, norm of subgrad 42.009226	 stepsize= 1.000000 
-dualbound = 2092061.015556, lowerbound=1113736.015556, norm of subgrad 1056.036939	dualbound = 2092061.015556, lowerbound=1113736.015556, norm of subgrad 41.589968	 stepsize= 1.000000 
-dualbound = 2092345.663492, lowerbound=1111332.663492, norm of subgrad 1054.905523	dualbound = 2092345.663492, lowerbound=1111332.663492, norm of subgrad 42.162162	 stepsize= 1.000000 
-dualbound = 2092563.180044, lowerbound=1109614.180044, norm of subgrad 1054.123892	dualbound = 2092563.180044, lowerbound=1109614.180044, norm of subgrad 42.196168	 stepsize= 1.000000 
-dualbound = 2092839.023529, lowerbound=1114912.023529, norm of subgrad 1056.628612	dualbound = 2092839.023529, lowerbound=1114912.023529, norm of subgrad 42.753286	 stepsize= 1.000000 
-dualbound = 2093097.295959, lowerbound=1111743.295959, norm of subgrad 1055.107244	dualbound = 2093097.295959, lowerbound=1111743.295959, norm of subgrad 42.027044	 stepsize= 1.000000 
-dualbound = 2093375.503362, lowerbound=1113361.503362, norm of subgrad 1055.880440	dualbound = 2093375.503362, lowerbound=1113361.503362, norm of subgrad 42.428851	 stepsize= 1.000000 
-dualbound = 2093595.023269, lowerbound=1109462.023269, norm of subgrad 1054.078756	dualbound = 2093595.023269, lowerbound=1109462.023269, norm of subgrad 42.889625	 stepsize= 1.000000 
-dualbound = 2093864.812372, lowerbound=1113528.812372, norm of subgrad 1055.963926	dualbound = 2093864.812372, lowerbound=1113528.812372, norm of subgrad 42.435706	 stepsize= 1.000000 
-dualbound = 2094130.973711, lowerbound=1112562.973711, norm of subgrad 1055.503185	dualbound = 2094130.973711, lowerbound=1112562.973711, norm of subgrad 42.310298	 stepsize= 1.000000 
-dualbound = 2094401.457471, lowerbound=1115978.457471, norm of subgrad 1057.109009	dualbound = 2094401.457471, lowerbound=1115978.457471, norm of subgrad 42.088998	 stepsize= 1.000000 
-dualbound = 2094646.672345, lowerbound=1111954.672345, norm of subgrad 1055.190349	dualbound = 2094646.672345, lowerbound=1111954.672345, norm of subgrad 41.439291	 stepsize= 1.000000 
-dualbound = 2094924.215517, lowerbound=1111549.215517, norm of subgrad 1055.018585	dualbound = 2094924.215517, lowerbound=1111549.215517, norm of subgrad 42.338436	 stepsize= 1.000000 
-dualbound = 2095173.557490, lowerbound=1114199.557490, norm of subgrad 1056.247867	dualbound = 2095173.557490, lowerbound=1114199.557490, norm of subgrad 41.344189	 stepsize= 1.000000 
-dualbound = 2095415.972970, lowerbound=1112896.972970, norm of subgrad 1055.662812	dualbound = 2095415.972970, lowerbound=1112896.972970, norm of subgrad 42.064421	 stepsize= 1.000000 
-dualbound = 2095680.517777, lowerbound=1111835.517777, norm of subgrad 1055.151893	dualbound = 2095680.517777, lowerbound=1111835.517777, norm of subgrad 42.125346	 stepsize= 1.000000 
-dualbound = 2095927.076530, lowerbound=1112135.076530, norm of subgrad 1055.303310	dualbound = 2095927.076530, lowerbound=1112135.076530, norm of subgrad 42.149244	 stepsize= 1.000000 
-dualbound = 2096158.897238, lowerbound=1118110.897238, norm of subgrad 1058.149279	dualbound = 2096158.897238, lowerbound=1118110.897238, norm of subgrad 42.436078	 stepsize= 1.000000 
-dualbound = 2096418.036049, lowerbound=1109888.036049, norm of subgrad 1054.227222	dualbound = 2096418.036049, lowerbound=1109888.036049, norm of subgrad 42.025454	 stepsize= 1.000000 
-dualbound = 2096679.720869, lowerbound=1111828.720869, norm of subgrad 1055.159097	dualbound = 2096679.720869, lowerbound=1111828.720869, norm of subgrad 42.351916	 stepsize= 1.000000 
-dualbound = 2096930.359094, lowerbound=1111625.359094, norm of subgrad 1055.073627	dualbound = 2096930.359094, lowerbound=1111625.359094, norm of subgrad 42.492802	 stepsize= 1.000000 
-dualbound = 2097172.713864, lowerbound=1115001.713864, norm of subgrad 1056.659223	dualbound = 2097172.713864, lowerbound=1115001.713864, norm of subgrad 42.063699	 stepsize= 1.000000 
-dualbound = 2097448.097843, lowerbound=1113060.097843, norm of subgrad 1055.719232	dualbound = 2097448.097843, lowerbound=1113060.097843, norm of subgrad 41.933089	 stepsize= 1.000000 
-dualbound = 2097733.659487, lowerbound=1109871.659487, norm of subgrad 1054.189575	dualbound = 2097733.659487, lowerbound=1109871.659487, norm of subgrad 41.587999	 stepsize= 1.000000 
-dualbound = 2097947.226206, lowerbound=1111679.226206, norm of subgrad 1055.092520	dualbound = 2097947.226206, lowerbound=1111679.226206, norm of subgrad 41.887548	 stepsize= 1.000000 
-dualbound = 2098194.527411, lowerbound=1116058.527411, norm of subgrad 1057.188028	dualbound = 2098194.527411, lowerbound=1116058.527411, norm of subgrad 42.840416	 stepsize= 1.000000 
-dualbound = 2098462.130910, lowerbound=1111878.130910, norm of subgrad 1055.154553	dualbound = 2098462.130910, lowerbound=1111878.130910, norm of subgrad 41.720540	 stepsize= 1.000000 
-dualbound = 2098737.384355, lowerbound=1115774.384355, norm of subgrad 1056.999236	dualbound = 2098737.384355, lowerbound=1115774.384355, norm of subgrad 41.812121	 stepsize= 1.000000 
-dualbound = 2098979.857650, lowerbound=1112636.857650, norm of subgrad 1055.550500	dualbound = 2098979.857650, lowerbound=1112636.857650, norm of subgrad 42.337611	 stepsize= 1.000000 
-dualbound = 2099228.123134, lowerbound=1113049.123134, norm of subgrad 1055.738662	dualbound = 2099228.123134, lowerbound=1113049.123134, norm of subgrad 42.228728	 stepsize= 1.000000 
-dualbound = 2099502.358621, lowerbound=1113017.358621, norm of subgrad 1055.696622	dualbound = 2099502.358621, lowerbound=1113017.358621, norm of subgrad 41.859712	 stepsize= 1.000000 
-dualbound = 2099747.177691, lowerbound=1114574.177691, norm of subgrad 1056.445539	dualbound = 2099747.177691, lowerbound=1114574.177691, norm of subgrad 41.806926	 stepsize= 1.000000 
-dualbound = 2100005.048193, lowerbound=1111780.048193, norm of subgrad 1055.094805	dualbound = 2100005.048193, lowerbound=1111780.048193, norm of subgrad 41.265852	 stepsize= 1.000000 
-dualbound = 2100272.074828, lowerbound=1115370.074828, norm of subgrad 1056.828309	dualbound = 2100272.074828, lowerbound=1115370.074828, norm of subgrad 42.225900	 stepsize= 1.000000 
-dualbound = 2100504.528815, lowerbound=1112571.528815, norm of subgrad 1055.499185	dualbound = 2100504.528815, lowerbound=1112571.528815, norm of subgrad 41.706762	 stepsize= 1.000000 
-dualbound = 2100767.902989, lowerbound=1113392.902989, norm of subgrad 1055.931770	dualbound = 2100767.902989, lowerbound=1113392.902989, norm of subgrad 43.155233	 stepsize= 1.000000 
-dualbound = 2100979.923329, lowerbound=1112309.923329, norm of subgrad 1055.441104	dualbound = 2100979.923329, lowerbound=1112309.923329, norm of subgrad 43.104760	 stepsize= 1.000000 
-dualbound = 2101264.738844, lowerbound=1113770.738844, norm of subgrad 1056.087467	dualbound = 2101264.738844, lowerbound=1113770.738844, norm of subgrad 42.834747	 stepsize= 1.000000 
-dualbound = 2101525.333315, lowerbound=1114080.333315, norm of subgrad 1056.208944	dualbound = 2101525.333315, lowerbound=1114080.333315, norm of subgrad 41.923674	 stepsize= 1.000000 
-dualbound = 2101803.346806, lowerbound=1112113.346806, norm of subgrad 1055.264586	dualbound = 2101803.346806, lowerbound=1112113.346806, norm of subgrad 41.809251	 stepsize= 1.000000 
-dualbound = 2102040.361496, lowerbound=1112891.361496, norm of subgrad 1055.653997	dualbound = 2102040.361496, lowerbound=1112891.361496, norm of subgrad 41.845127	 stepsize= 1.000000 
-dualbound = 2102271.707119, lowerbound=1113934.707119, norm of subgrad 1056.160361	dualbound = 2102271.707119, lowerbound=1113934.707119, norm of subgrad 42.087357	 stepsize= 1.000000 
-dualbound = 2102531.895367, lowerbound=1114286.895367, norm of subgrad 1056.340805	dualbound = 2102531.895367, lowerbound=1114286.895367, norm of subgrad 42.769010	 stepsize= 1.000000 
-dualbound = 2102779.094040, lowerbound=1112618.094040, norm of subgrad 1055.538770	dualbound = 2102779.094040, lowerbound=1112618.094040, norm of subgrad 42.322555	 stepsize= 1.000000 
-dualbound = 2103066.769864, lowerbound=1111809.769864, norm of subgrad 1055.115998	dualbound = 2103066.769864, lowerbound=1111809.769864, norm of subgrad 41.805213	 stepsize= 1.000000 
-dualbound = 2103325.645153, lowerbound=1114746.645153, norm of subgrad 1056.516751	dualbound = 2103325.645153, lowerbound=1114746.645153, norm of subgrad 41.711812	 stepsize= 1.000000 
-dualbound = 2103565.093604, lowerbound=1110740.093604, norm of subgrad 1054.627467	dualbound = 2103565.093604, lowerbound=1110740.093604, norm of subgrad 41.694705	 stepsize= 1.000000 
-dualbound = 2103827.280889, lowerbound=1111746.280889, norm of subgrad 1055.111502	dualbound = 2103827.280889, lowerbound=1111746.280889, norm of subgrad 42.144837	 stepsize= 1.000000 
-dualbound = 2104068.588325, lowerbound=1113682.588325, norm of subgrad 1056.032949	dualbound = 2104068.588325, lowerbound=1113682.588325, norm of subgrad 42.003660	 stepsize= 1.000000 
-dualbound = 2104334.260130, lowerbound=1112976.260130, norm of subgrad 1055.655370	dualbound = 2104334.260130, lowerbound=1112976.260130, norm of subgrad 41.202813	 stepsize= 1.000000 
-dualbound = 2104605.266063, lowerbound=1118016.266063, norm of subgrad 1058.082826	dualbound = 2104605.266063, lowerbound=1118016.266063, norm of subgrad 42.355707	 stepsize= 1.000000 
-dualbound = 2104835.638448, lowerbound=1113849.638448, norm of subgrad 1056.093575	dualbound = 2104835.638448, lowerbound=1113849.638448, norm of subgrad 41.404980	 stepsize= 1.000000 
-dualbound = 2105116.204132, lowerbound=1116130.204132, norm of subgrad 1057.167538	dualbound = 2105116.204132, lowerbound=1116130.204132, norm of subgrad 41.875598	 stepsize= 1.000000 
-dualbound = 2105361.280634, lowerbound=1110411.280634, norm of subgrad 1054.477255	dualbound = 2105361.280634, lowerbound=1110411.280634, norm of subgrad 41.905566	 stepsize= 1.000000 
-dualbound = 2105603.796575, lowerbound=1112466.796575, norm of subgrad 1055.480363	dualbound = 2105603.796575, lowerbound=1112466.796575, norm of subgrad 42.597135	 stepsize= 1.000000 
-dualbound = 2105848.919574, lowerbound=1114175.919574, norm of subgrad 1056.269814	dualbound = 2105848.919574, lowerbound=1114175.919574, norm of subgrad 42.132209	 stepsize= 1.000000 
-dualbound = 2106097.123426, lowerbound=1113728.123426, norm of subgrad 1056.090964	dualbound = 2106097.123426, lowerbound=1113728.123426, norm of subgrad 42.990741	 stepsize= 1.000000 
-dualbound = 2106316.367425, lowerbound=1115238.367425, norm of subgrad 1056.802899	dualbound = 2106316.367425, lowerbound=1115238.367425, norm of subgrad 42.582203	 stepsize= 1.000000 
-dualbound = 2106618.633627, lowerbound=1110547.633627, norm of subgrad 1054.569881	dualbound = 2106618.633627, lowerbound=1110547.633627, norm of subgrad 43.269691	 stepsize= 1.000000 
-dualbound = 2106865.315848, lowerbound=1117160.315848, norm of subgrad 1057.692449	dualbound = 2106865.315848, lowerbound=1117160.315848, norm of subgrad 42.422662	 stepsize= 1.000000 
-dualbound = 2107116.504209, lowerbound=1113790.504209, norm of subgrad 1056.086883	dualbound = 2107116.504209, lowerbound=1113790.504209, norm of subgrad 42.192278	 stepsize= 1.000000 
-dualbound = 2107376.835357, lowerbound=1112509.835357, norm of subgrad 1055.459064	dualbound = 2107376.835357, lowerbound=1112509.835357, norm of subgrad 41.765191	 stepsize= 1.000000 
-dualbound = 2107652.630167, lowerbound=1116248.630167, norm of subgrad 1057.233007	dualbound = 2107652.630167, lowerbound=1116248.630167, norm of subgrad 42.057042	 stepsize= 1.000000 
-dualbound = 2107894.373400, lowerbound=1113692.373400, norm of subgrad 1056.030953	dualbound = 2107894.373400, lowerbound=1113692.373400, norm of subgrad 41.841884	 stepsize= 1.000000 
-dualbound = 2108140.709333, lowerbound=1110687.709333, norm of subgrad 1054.615906	dualbound = 2108140.709333, lowerbound=1110687.709333, norm of subgrad 42.110995	 stepsize= 1.000000 
-dualbound = 2108388.116849, lowerbound=1116957.116849, norm of subgrad 1057.582676	dualbound = 2108388.116849, lowerbound=1116957.116849, norm of subgrad 42.088092	 stepsize= 1.000000 
-dualbound = 2108656.947448, lowerbound=1112144.947448, norm of subgrad 1055.312251	dualbound = 2108656.947448, lowerbound=1112144.947448, norm of subgrad 42.518591	 stepsize= 1.000000 
-dualbound = 2108894.645219, lowerbound=1111589.645219, norm of subgrad 1055.041537	dualbound = 2108894.645219, lowerbound=1111589.645219, norm of subgrad 41.960669	 stepsize= 1.000000 
-dualbound = 2109156.488347, lowerbound=1114298.488347, norm of subgrad 1056.348659	dualbound = 2109156.488347, lowerbound=1114298.488347, norm of subgrad 42.846740	 stepsize= 1.000000 
-dualbound = 2109410.971229, lowerbound=1116078.971229, norm of subgrad 1057.169320	dualbound = 2109410.971229, lowerbound=1116078.971229, norm of subgrad 42.219461	 stepsize= 1.000000 
-dualbound = 2109674.997014, lowerbound=1109714.997014, norm of subgrad 1054.145150	dualbound = 2109674.997014, lowerbound=1109714.997014, norm of subgrad 42.083557	 stepsize= 1.000000 
-dualbound = 2109924.265327, lowerbound=1116481.265327, norm of subgrad 1057.348696	dualbound = 2109924.265327, lowerbound=1116481.265327, norm of subgrad 41.883986	 stepsize= 1.000000 
-dualbound = 2110180.227390, lowerbound=1115430.227390, norm of subgrad 1056.852037	dualbound = 2110180.227390, lowerbound=1115430.227390, norm of subgrad 41.975732	 stepsize= 1.000000 
-dualbound = 2110458.424202, lowerbound=1109459.424202, norm of subgrad 1054.002099	dualbound = 2110458.424202, lowerbound=1109459.424202, norm of subgrad 41.703679	 stepsize= 1.000000 
-dualbound = 2110687.225811, lowerbound=1114984.225811, norm of subgrad 1056.624922	dualbound = 2110687.225811, lowerbound=1114984.225811, norm of subgrad 41.240776	 stepsize= 1.000000 
-dualbound = 2110953.749777, lowerbound=1118256.749777, norm of subgrad 1058.172835	dualbound = 2110953.749777, lowerbound=1118256.749777, norm of subgrad 41.707601	 stepsize= 1.000000 
-dualbound = 2111198.646920, lowerbound=1113354.646920, norm of subgrad 1055.887137	dualbound = 2111198.646920, lowerbound=1113354.646920, norm of subgrad 42.283533	 stepsize= 1.000000 
-dualbound = 2111426.182721, lowerbound=1114172.182721, norm of subgrad 1056.262365	dualbound = 2111426.182721, lowerbound=1114172.182721, norm of subgrad 41.779610	 stepsize= 1.000000 
-dualbound = 2111705.955626, lowerbound=1115823.955626, norm of subgrad 1057.025996	dualbound = 2111705.955626, lowerbound=1115823.955626, norm of subgrad 41.949647	 stepsize= 1.000000 
-dualbound = 2111950.342075, lowerbound=1112816.342075, norm of subgrad 1055.627937	dualbound = 2111950.342075, lowerbound=1112816.342075, norm of subgrad 42.170919	 stepsize= 1.000000 
-dualbound = 2112204.771327, lowerbound=1113371.771327, norm of subgrad 1055.914187	dualbound = 2112204.771327, lowerbound=1113371.771327, norm of subgrad 42.865245	 stepsize= 1.000000 
-dualbound = 2112450.426757, lowerbound=1115419.426757, norm of subgrad 1056.828002	dualbound = 2112450.426757, lowerbound=1115419.426757, norm of subgrad 41.372158	 stepsize= 1.000000 
-dualbound = 2112743.339365, lowerbound=1113827.339365, norm of subgrad 1056.092486	dualbound = 2112743.339365, lowerbound=1113827.339365, norm of subgrad 42.390006	 stepsize= 1.000000 
-dualbound = 2112968.630337, lowerbound=1111308.630337, norm of subgrad 1054.905982	dualbound = 2112968.630337, lowerbound=1111308.630337, norm of subgrad 41.752736	 stepsize= 1.000000 
-dualbound = 2113213.549564, lowerbound=1115259.549564, norm of subgrad 1056.797308	dualbound = 2113213.549564, lowerbound=1115259.549564, norm of subgrad 42.496108	 stepsize= 1.000000 
-dualbound = 2113487.154623, lowerbound=1112081.154623, norm of subgrad 1055.270655	dualbound = 2113487.154623, lowerbound=1112081.154623, norm of subgrad 42.291903	 stepsize= 1.000000 
-dualbound = 2113718.154388, lowerbound=1118708.154388, norm of subgrad 1058.454134	dualbound = 2113718.154388, lowerbound=1118708.154388, norm of subgrad 42.988368	 stepsize= 1.000000 
-dualbound = 2113955.043507, lowerbound=1112437.043507, norm of subgrad 1055.464847	dualbound = 2113955.043507, lowerbound=1112437.043507, norm of subgrad 42.495754	 stepsize= 1.000000 
-dualbound = 2114248.574778, lowerbound=1110546.574778, norm of subgrad 1054.531922	dualbound = 2114248.574778, lowerbound=1110546.574778, norm of subgrad 42.243713	 stepsize= 1.000000 
-dualbound = 2114488.016832, lowerbound=1115100.016832, norm of subgrad 1056.765829	dualbound = 2114488.016832, lowerbound=1115100.016832, norm of subgrad 43.513700	 stepsize= 1.000000 
-dualbound = 2114711.758046, lowerbound=1115721.758046, norm of subgrad 1057.022118	dualbound = 2114711.758046, lowerbound=1115721.758046, norm of subgrad 42.399778	 stepsize= 1.000000 
-dualbound = 2114992.664738, lowerbound=1114462.664738, norm of subgrad 1056.374301	dualbound = 2114992.664738, lowerbound=1114462.664738, norm of subgrad 41.772080	 stepsize= 1.000000 
-dualbound = 2115274.397955, lowerbound=1113058.397955, norm of subgrad 1055.735004	dualbound = 2115274.397955, lowerbound=1113058.397955, norm of subgrad 42.423263	 stepsize= 1.000000 
-dualbound = 2115498.994730, lowerbound=1115686.994730, norm of subgrad 1056.980603	dualbound = 2115498.994730, lowerbound=1115686.994730, norm of subgrad 41.780340	 stepsize= 1.000000 
-dualbound = 2115757.748338, lowerbound=1114798.748338, norm of subgrad 1056.550400	dualbound = 2115757.748338, lowerbound=1114798.748338, norm of subgrad 41.937496	 stepsize= 1.000000 
-dualbound = 2116015.457449, lowerbound=1112959.457449, norm of subgrad 1055.684829	dualbound = 2116015.457449, lowerbound=1112959.457449, norm of subgrad 42.056023	 stepsize= 1.000000 
-dualbound = 2116259.837747, lowerbound=1115913.837747, norm of subgrad 1057.082228	dualbound = 2116259.837747, lowerbound=1115913.837747, norm of subgrad 41.873384	 stepsize= 1.000000 
-dualbound = 2116512.389146, lowerbound=1111422.389146, norm of subgrad 1054.961795	dualbound = 2116512.389146, lowerbound=1111422.389146, norm of subgrad 42.125425	 stepsize= 1.000000 
-dualbound = 2116771.905514, lowerbound=1115665.905514, norm of subgrad 1056.972046	dualbound = 2116771.905514, lowerbound=1115665.905514, norm of subgrad 42.231699	 stepsize= 1.000000 
-dualbound = 2117022.019397, lowerbound=1116846.019397, norm of subgrad 1057.541971	dualbound = 2117022.019397, lowerbound=1116846.019397, norm of subgrad 42.415963	 stepsize= 1.000000 
-dualbound = 2117265.726217, lowerbound=1113932.726217, norm of subgrad 1056.159896	dualbound = 2117265.726217, lowerbound=1113932.726217, norm of subgrad 42.245791	 stepsize= 1.000000 
-dualbound = 2117509.271915, lowerbound=1112054.271915, norm of subgrad 1055.274027	dualbound = 2117509.271915, lowerbound=1112054.271915, norm of subgrad 42.338466	 stepsize= 1.000000 
-dualbound = 2117773.540416, lowerbound=1115343.540416, norm of subgrad 1056.813390	dualbound = 2117773.540416, lowerbound=1115343.540416, norm of subgrad 42.133935	 stepsize= 1.000000 
-dualbound = 2118031.877319, lowerbound=1117925.877319, norm of subgrad 1058.046727	dualbound = 2118031.877319, lowerbound=1117925.877319, norm of subgrad 42.371416	 stepsize= 1.000000 
-dualbound = 2118275.607025, lowerbound=1110455.607025, norm of subgrad 1054.504437	dualbound = 2118275.607025, lowerbound=1110455.607025, norm of subgrad 42.044378	 stepsize= 1.000000 
-dualbound = 2118549.906249, lowerbound=1114865.906249, norm of subgrad 1056.555681	dualbound = 2118549.906249, lowerbound=1114865.906249, norm of subgrad 41.452373	 stepsize= 1.000000 
-dualbound = 2118801.046371, lowerbound=1115566.046371, norm of subgrad 1056.906356	dualbound = 2118801.046371, lowerbound=1115566.046371, norm of subgrad 41.667015	 stepsize= 1.000000 
-dualbound = 2119067.263304, lowerbound=1115038.263304, norm of subgrad 1056.661849	dualbound = 2119067.263304, lowerbound=1115038.263304, norm of subgrad 41.978768	 stepsize= 1.000000 
-dualbound = 2119295.096068, lowerbound=1114192.096068, norm of subgrad 1056.278418	dualbound = 2119295.096068, lowerbound=1114192.096068, norm of subgrad 41.950361	 stepsize= 1.000000 
-dualbound = 2119571.471406, lowerbound=1115695.471406, norm of subgrad 1056.953391	dualbound = 2119571.471406, lowerbound=1115695.471406, norm of subgrad 41.609799	 stepsize= 1.000000 
-dualbound = 2119826.401650, lowerbound=1113061.401650, norm of subgrad 1055.731690	dualbound = 2119826.401650, lowerbound=1113061.401650, norm of subgrad 41.987263	 stepsize= 1.000000 
-dualbound = 2120055.420896, lowerbound=1113763.420896, norm of subgrad 1056.080215	dualbound = 2120055.420896, lowerbound=1113763.420896, norm of subgrad 42.083479	 stepsize= 1.000000 
-dualbound = 2120318.073238, lowerbound=1116680.073238, norm of subgrad 1057.437030	dualbound = 2120318.073238, lowerbound=1116680.073238, norm of subgrad 41.900505	 stepsize= 1.000000 
-dualbound = 2120579.915711, lowerbound=1110657.915711, norm of subgrad 1054.590876	dualbound = 2120579.915711, lowerbound=1110657.915711, norm of subgrad 42.021928	 stepsize= 1.000000 
-dualbound = 2120833.737038, lowerbound=1114917.737038, norm of subgrad 1056.616646	dualbound = 2120833.737038, lowerbound=1114917.737038, norm of subgrad 42.128628	 stepsize= 1.000000 
-dualbound = 2121074.606984, lowerbound=1115236.606984, norm of subgrad 1056.766581	dualbound = 2121074.606984, lowerbound=1115236.606984, norm of subgrad 41.950804	 stepsize= 1.000000 
-dualbound = 2121332.193852, lowerbound=1113789.193852, norm of subgrad 1056.089577	dualbound = 2121332.193852, lowerbound=1113789.193852, norm of subgrad 42.350760	 stepsize= 1.000000 
-dualbound = 2121610.726200, lowerbound=1113909.726200, norm of subgrad 1056.126757	dualbound = 2121610.726200, lowerbound=1113909.726200, norm of subgrad 42.101453	 stepsize= 1.000000 
-dualbound = 2121813.929324, lowerbound=1114255.929324, norm of subgrad 1056.308634	dualbound = 2121813.929324, lowerbound=1114255.929324, norm of subgrad 41.655769	 stepsize= 1.000000 
-dualbound = 2122085.177323, lowerbound=1116060.177323, norm of subgrad 1057.194011	dualbound = 2122085.177323, lowerbound=1116060.177323, norm of subgrad 43.246364	 stepsize= 1.000000 
-dualbound = 2122312.155381, lowerbound=1116230.155381, norm of subgrad 1057.234201	dualbound = 2122312.155381, lowerbound=1116230.155381, norm of subgrad 41.725029	 stepsize= 1.000000 
-dualbound = 2122605.577647, lowerbound=1116148.577647, norm of subgrad 1057.197511	dualbound = 2122605.577647, lowerbound=1116148.577647, norm of subgrad 42.560807	 stepsize= 1.000000 
-dualbound = 2122815.436564, lowerbound=1112740.436564, norm of subgrad 1055.626087	dualbound = 2122815.436564, lowerbound=1112740.436564, norm of subgrad 42.612896	 stepsize= 1.000000 
-dualbound = 2123079.430124, lowerbound=1113986.430124, norm of subgrad 1056.205203	dualbound = 2123079.430124, lowerbound=1113986.430124, norm of subgrad 42.976663	 stepsize= 1.000000 
-dualbound = 2123348.857691, lowerbound=1115583.857691, norm of subgrad 1056.931340	dualbound = 2123348.857691, lowerbound=1115583.857691, norm of subgrad 42.301626	 stepsize= 1.000000 
-dualbound = 2123621.170785, lowerbound=1115498.170785, norm of subgrad 1056.856268	dualbound = 2123621.170785, lowerbound=1115498.170785, norm of subgrad 41.464600	 stepsize= 1.000000 
-dualbound = 2123885.625658, lowerbound=1118543.625658, norm of subgrad 1058.320663	dualbound = 2123885.625658, lowerbound=1118543.625658, norm of subgrad 41.993510	 stepsize= 1.000000 
-dualbound = 2124102.065930, lowerbound=1114904.065930, norm of subgrad 1056.629578	dualbound = 2124102.065930, lowerbound=1114904.065930, norm of subgrad 42.171558	 stepsize= 1.000000 
-dualbound = 2124330.547039, lowerbound=1110893.547039, norm of subgrad 1054.769902	dualbound = 2124330.547039, lowerbound=1110893.547039, norm of subgrad 43.295278	 stepsize= 1.000000 
-dualbound = 2124577.146678, lowerbound=1117308.146678, norm of subgrad 1057.774620	dualbound = 2124577.146678, lowerbound=1117308.146678, norm of subgrad 42.727036	 stepsize= 1.000000 
-dualbound = 2124849.448525, lowerbound=1113462.448525, norm of subgrad 1055.915455	dualbound = 2124849.448525, lowerbound=1113462.448525, norm of subgrad 42.039289	 stepsize= 1.000000 
-dualbound = 2125139.518217, lowerbound=1117787.518217, norm of subgrad 1057.957711	dualbound = 2125139.518217, lowerbound=1117787.518217, norm of subgrad 42.155304	 stepsize= 1.000000 
-dualbound = 2125378.445473, lowerbound=1110347.445473, norm of subgrad 1054.444141	dualbound = 2125378.445473, lowerbound=1110347.445473, norm of subgrad 41.760355	 stepsize= 1.000000 
-dualbound = 2125619.371614, lowerbound=1117730.371614, norm of subgrad 1057.952916	dualbound = 2125619.371614, lowerbound=1117730.371614, norm of subgrad 42.129872	 stepsize= 1.000000 
-dualbound = 2125867.843396, lowerbound=1116183.843396, norm of subgrad 1057.208042	dualbound = 2125867.843396, lowerbound=1116183.843396, norm of subgrad 41.874476	 stepsize= 1.000000 
-dualbound = 2126152.582646, lowerbound=1113853.582646, norm of subgrad 1056.092128	dualbound = 2126152.582646, lowerbound=1113853.582646, norm of subgrad 41.973078	 stepsize= 1.000000 
-dualbound = 2126381.278159, lowerbound=1115743.278159, norm of subgrad 1057.002024	dualbound = 2126381.278159, lowerbound=1115743.278159, norm of subgrad 41.697668	 stepsize= 1.000000 
-dualbound = 2126604.170967, lowerbound=1114385.170967, norm of subgrad 1056.396313	dualbound = 2126604.170967, lowerbound=1114385.170967, norm of subgrad 42.554586	 stepsize= 1.000000 
-dualbound = 2126876.448075, lowerbound=1115648.448075, norm of subgrad 1056.985548	dualbound = 2126876.448075, lowerbound=1115648.448075, norm of subgrad 42.921756	 stepsize= 1.000000 
-dualbound = 2127105.356612, lowerbound=1114879.356612, norm of subgrad 1056.618359	dualbound = 2127105.356612, lowerbound=1114879.356612, norm of subgrad 42.330941	 stepsize= 1.000000 
-dualbound = 2127376.447856, lowerbound=1113333.447855, norm of subgrad 1055.860051	dualbound = 2127376.447856, lowerbound=1113333.447855, norm of subgrad 42.167419	 stepsize= 1.000000 
-dualbound = 2127624.012698, lowerbound=1116972.012698, norm of subgrad 1057.602956	dualbound = 2127624.012698, lowerbound=1116972.012698, norm of subgrad 42.421278	 stepsize= 1.000000 
-dualbound = 2127854.055405, lowerbound=1115611.055405, norm of subgrad 1056.990092	dualbound = 2127854.055405, lowerbound=1115611.055405, norm of subgrad 42.977235	 stepsize= 1.000000 
-dualbound = 2128101.497463, lowerbound=1114139.497463, norm of subgrad 1056.244525	dualbound = 2128101.497463, lowerbound=1114139.497463, norm of subgrad 41.957622	 stepsize= 1.000000 
-dualbound = 2128371.041307, lowerbound=1115524.041307, norm of subgrad 1056.910612	dualbound = 2128371.041307, lowerbound=1115524.041307, norm of subgrad 42.491691	 stepsize= 1.000000 
-dualbound = 2128654.152342, lowerbound=1114884.152342, norm of subgrad 1056.617316	dualbound = 2128654.152342, lowerbound=1114884.152342, norm of subgrad 42.884858	 stepsize= 1.000000 
-dualbound = 2128862.130093, lowerbound=1116561.130093, norm of subgrad 1057.408686	dualbound = 2128862.130093, lowerbound=1116561.130093, norm of subgrad 41.952089	 stepsize= 1.000000 
-dualbound = 2129116.387316, lowerbound=1113254.387316, norm of subgrad 1055.827347	dualbound = 2129116.387316, lowerbound=1113254.387316, norm of subgrad 42.086307	 stepsize= 1.000000 
-dualbound = 2129392.128502, lowerbound=1114087.128502, norm of subgrad 1056.236303	dualbound = 2129392.128502, lowerbound=1114087.128502, norm of subgrad 42.705283	 stepsize= 1.000000 
-dualbound = 2129627.471721, lowerbound=1119098.471721, norm of subgrad 1058.610633	dualbound = 2129627.471721, lowerbound=1119098.471721, norm of subgrad 42.347883	 stepsize= 1.000000 
-dualbound = 2129907.337690, lowerbound=1117704.337690, norm of subgrad 1057.918871	dualbound = 2129907.337690, lowerbound=1117704.337690, norm of subgrad 42.045998	 stepsize= 1.000000 
-dualbound = 2130151.276362, lowerbound=1114531.276362, norm of subgrad 1056.418135	dualbound = 2130151.276362, lowerbound=1114531.276362, norm of subgrad 41.616567	 stepsize= 1.000000 
-dualbound = 2130408.297661, lowerbound=1112860.297661, norm of subgrad 1055.616549	dualbound = 2130408.297661, lowerbound=1112860.297661, norm of subgrad 41.509292	 stepsize= 1.000000 
-dualbound = 2130655.470345, lowerbound=1114825.470345, norm of subgrad 1056.599958	dualbound = 2130655.470345, lowerbound=1114825.470345, norm of subgrad 42.722040	 stepsize= 1.000000 
-dualbound = 2130856.796326, lowerbound=1116488.796326, norm of subgrad 1057.392924	dualbound = 2130856.796326, lowerbound=1116488.796326, norm of subgrad 42.335871	 stepsize= 1.000000 
-dualbound = 2131122.535670, lowerbound=1113842.535670, norm of subgrad 1056.109623	dualbound = 2131122.535670, lowerbound=1113842.535670, norm of subgrad 42.317128	 stepsize= 1.000000 
-dualbound = 2131425.553896, lowerbound=1118553.553896, norm of subgrad 1058.305511	dualbound = 2131425.553896, lowerbound=1118553.553896, norm of subgrad 41.952571	 stepsize= 1.000000 
-dualbound = 2131642.480790, lowerbound=1113281.480790, norm of subgrad 1055.843493	dualbound = 2131642.480790, lowerbound=1113281.480790, norm of subgrad 41.724416	 stepsize= 1.000000 
-dualbound = 2131882.240632, lowerbound=1119109.240632, norm of subgrad 1058.588324	dualbound = 2131882.240632, lowerbound=1119109.240632, norm of subgrad 41.710428	 stepsize= 1.000000 
-dualbound = 2132144.735070, lowerbound=1114081.735070, norm of subgrad 1056.222389	dualbound = 2132144.735070, lowerbound=1114081.735070, norm of subgrad 42.266943	 stepsize= 1.000000 
-dualbound = 2132373.997464, lowerbound=1115924.997464, norm of subgrad 1057.115414	dualbound = 2132373.997464, lowerbound=1115924.997464, norm of subgrad 42.394132	 stepsize= 1.000000 
-dualbound = 2132611.031934, lowerbound=1115663.031934, norm of subgrad 1056.998596	dualbound = 2132611.031934, lowerbound=1115663.031934, norm of subgrad 42.661862	 stepsize= 1.000000 
-dualbound = 2132873.384261, lowerbound=1114339.384261, norm of subgrad 1056.312162	dualbound = 2132873.384261, lowerbound=1114339.384261, norm of subgrad 41.453013	 stepsize= 1.000000 
-dualbound = 2133149.799184, lowerbound=1119252.799184, norm of subgrad 1058.658018	dualbound = 2133149.799184, lowerbound=1119252.799184, norm of subgrad 42.194963	 stepsize= 1.000000 
-dualbound = 2133375.649760, lowerbound=1112722.649760, norm of subgrad 1055.591611	dualbound = 2133375.649760, lowerbound=1112722.649760, norm of subgrad 42.152705	 stepsize= 1.000000 
-dualbound = 2133636.982109, lowerbound=1115794.982109, norm of subgrad 1057.036888	dualbound = 2133636.982109, lowerbound=1115794.982109, norm of subgrad 42.347755	 stepsize= 1.000000 
-dualbound = 2133888.610497, lowerbound=1113978.610497, norm of subgrad 1056.204815	dualbound = 2133888.610497, lowerbound=1113978.610497, norm of subgrad 42.914198	 stepsize= 1.000000 
-dualbound = 2134117.021746, lowerbound=1114901.021746, norm of subgrad 1056.636182	dualbound = 2134117.021746, lowerbound=1114901.021746, norm of subgrad 42.513660	 stepsize= 1.000000 
-dualbound = 2134368.304955, lowerbound=1117136.304955, norm of subgrad 1057.691025	dualbound = 2134368.304955, lowerbound=1117136.304955, norm of subgrad 42.723333	 stepsize= 1.000000 
-dualbound = 2134654.815536, lowerbound=1114492.815536, norm of subgrad 1056.397565	dualbound = 2134654.815536, lowerbound=1114492.815536, norm of subgrad 42.065551	 stepsize= 1.000000 
-dualbound = 2134900.944155, lowerbound=1120098.944155, norm of subgrad 1059.075042	dualbound = 2134900.944155, lowerbound=1120098.944155, norm of subgrad 42.274444	 stepsize= 1.000000 
-dualbound = 2135123.942775, lowerbound=1113576.942775, norm of subgrad 1055.988609	dualbound = 2135123.942775, lowerbound=1113576.942775, norm of subgrad 41.928494	 stepsize= 1.000000 
-dualbound = 2135380.221599, lowerbound=1114852.221599, norm of subgrad 1056.625866	dualbound = 2135380.221599, lowerbound=1114852.221599, norm of subgrad 43.154129	 stepsize= 1.000000 
-dualbound = 2135622.191956, lowerbound=1113805.191956, norm of subgrad 1056.079160	dualbound = 2135622.191956, lowerbound=1113805.191956, norm of subgrad 41.712952	 stepsize= 1.000000 
-dualbound = 2135919.465223, lowerbound=1118389.465223, norm of subgrad 1058.258695	dualbound = 2135919.465223, lowerbound=1118389.465223, norm of subgrad 42.652940	 stepsize= 1.000000 
-dualbound = 2136126.786663, lowerbound=1116241.786663, norm of subgrad 1057.242066	dualbound = 2136126.786663, lowerbound=1116241.786663, norm of subgrad 41.549025	 stepsize= 1.000000 
-dualbound = 2136414.991524, lowerbound=1116402.991524, norm of subgrad 1057.321612	dualbound = 2136414.991524, lowerbound=1116402.991524, norm of subgrad 42.593484	 stepsize= 1.000000 
-dualbound = 2136648.842068, lowerbound=1116009.842068, norm of subgrad 1057.131421	dualbound = 2136648.842068, lowerbound=1116009.842068, norm of subgrad 41.843166	 stepsize= 1.000000 
-dualbound = 2136914.960191, lowerbound=1113503.960191, norm of subgrad 1055.925168	dualbound = 2136914.960191, lowerbound=1113503.960191, norm of subgrad 41.714723	 stepsize= 1.000000 
-dualbound = 2137168.181551, lowerbound=1113335.181551, norm of subgrad 1055.870817	dualbound = 2137168.181551, lowerbound=1113335.181551, norm of subgrad 42.204518	 stepsize= 1.000000 
-dualbound = 2137398.506994, lowerbound=1119684.506994, norm of subgrad 1058.877475	dualbound = 2137398.506994, lowerbound=1119684.506994, norm of subgrad 42.039570	 stepsize= 1.000000 
-dualbound = 2137663.861387, lowerbound=1114961.861387, norm of subgrad 1056.635160	dualbound = 2137663.861387, lowerbound=1114961.861387, norm of subgrad 42.206094	 stepsize= 1.000000 
-dualbound = 2137894.100019, lowerbound=1118344.100019, norm of subgrad 1058.243403	dualbound = 2137894.100019, lowerbound=1118344.100019, norm of subgrad 42.014743	 stepsize= 1.000000 
-dualbound = 2138150.698979, lowerbound=1111464.698979, norm of subgrad 1054.976160	dualbound = 2138150.698979, lowerbound=1111464.698979, norm of subgrad 42.030929	 stepsize= 1.000000 
-dualbound = 2138418.318785, lowerbound=1118573.318785, norm of subgrad 1058.348864	dualbound = 2138418.318785, lowerbound=1118573.318785, norm of subgrad 42.386552	 stepsize= 1.000000 
-dualbound = 2138625.110908, lowerbound=1115046.110908, norm of subgrad 1056.673133	dualbound = 2138625.110908, lowerbound=1115046.110908, norm of subgrad 41.458318	 stepsize= 1.000000 
-dualbound = 2138905.151567, lowerbound=1117425.151567, norm of subgrad 1057.794475	dualbound = 2138905.151567, lowerbound=1117425.151567, norm of subgrad 42.237905	 stepsize= 1.000000 
-dualbound = 2139139.658727, lowerbound=1113273.658727, norm of subgrad 1055.842630	dualbound = 2139139.658727, lowerbound=1113273.658727, norm of subgrad 42.006037	 stepsize= 1.000000 
-dualbound = 2139384.367663, lowerbound=1118976.367663, norm of subgrad 1058.574687	dualbound = 2139384.367663, lowerbound=1118976.367663, norm of subgrad 42.996615	 stepsize= 1.000000 
-dualbound = 2139633.934287, lowerbound=1114535.934287, norm of subgrad 1056.479500	dualbound = 2139633.934287, lowerbound=1114535.934287, norm of subgrad 43.157463	 stepsize= 1.000000 
-dualbound = 2139868.400206, lowerbound=1114862.400206, norm of subgrad 1056.620272	dualbound = 2139868.400206, lowerbound=1114862.400206, norm of subgrad 42.643475	 stepsize= 1.000000 
-dualbound = 2140148.100861, lowerbound=1115192.100861, norm of subgrad 1056.762557	dualbound = 2140148.100861, lowerbound=1115192.100861, norm of subgrad 42.833406	 stepsize= 1.000000 
-dualbound = 2140383.554237, lowerbound=1116898.554237, norm of subgrad 1057.581937	dualbound = 2140383.554237, lowerbound=1116898.554237, norm of subgrad 42.619871	 stepsize= 1.000000 
-dualbound = 2140646.409019, lowerbound=1116744.409019, norm of subgrad 1057.488728	dualbound = 2140646.409019, lowerbound=1116744.409019, norm of subgrad 42.436479	 stepsize= 1.000000 
-dualbound = 2140898.742530, lowerbound=1114296.742530, norm of subgrad 1056.324165	dualbound = 2140898.742530, lowerbound=1114296.742530, norm of subgrad 42.146572	 stepsize= 1.000000 
-dualbound = 2141136.337304, lowerbound=1116575.337304, norm of subgrad 1057.388451	dualbound = 2141136.337304, lowerbound=1116575.337304, norm of subgrad 41.624449	 stepsize= 1.000000 
-dualbound = 2141422.461510, lowerbound=1115985.461510, norm of subgrad 1057.108538	dualbound = 2141422.461510, lowerbound=1115985.461510, norm of subgrad 42.179666	 stepsize= 1.000000 
-dualbound = 2141652.821265, lowerbound=1111725.821265, norm of subgrad 1055.091854	dualbound = 2141652.821265, lowerbound=1111725.821265, norm of subgrad 41.513368	 stepsize= 1.000000 
-dualbound = 2141934.622686, lowerbound=1117974.622686, norm of subgrad 1058.023923	dualbound = 2141934.622686, lowerbound=1117974.622686, norm of subgrad 41.494595	 stepsize= 1.000000 
-dualbound = 2142157.850627, lowerbound=1115180.850627, norm of subgrad 1056.732630	dualbound = 2142157.850627, lowerbound=1115180.850627, norm of subgrad 41.547899	 stepsize= 1.000000 
-dualbound = 2142403.162498, lowerbound=1114760.162498, norm of subgrad 1056.556275	dualbound = 2142403.162498, lowerbound=1114760.162498, norm of subgrad 42.382920	 stepsize= 1.000000 
-dualbound = 2142635.625892, lowerbound=1116624.625892, norm of subgrad 1057.459042	dualbound = 2142635.625892, lowerbound=1116624.625892, norm of subgrad 42.748841	 stepsize= 1.000000 
-dualbound = 2142888.846854, lowerbound=1119618.846854, norm of subgrad 1058.854497	dualbound = 2142888.846854, lowerbound=1119618.846854, norm of subgrad 42.511422	 stepsize= 1.000000 
-dualbound = 2143147.210049, lowerbound=1115372.210049, norm of subgrad 1056.828373	dualbound = 2143147.210049, lowerbound=1115372.210049, norm of subgrad 42.099444	 stepsize= 1.000000 
-dualbound = 2143382.018477, lowerbound=1116802.018477, norm of subgrad 1057.514548	dualbound = 2143382.018477, lowerbound=1116802.018477, norm of subgrad 42.069091	 stepsize= 1.000000 
-dualbound = 2143656.215347, lowerbound=1114770.215347, norm of subgrad 1056.555827	dualbound = 2143656.215347, lowerbound=1114770.215347, norm of subgrad 42.593390	 stepsize= 1.000000 
-dualbound = 2143879.151194, lowerbound=1120579.151194, norm of subgrad 1059.286152	dualbound = 2143879.151194, lowerbound=1120579.151194, norm of subgrad 41.604517	 stepsize= 1.000000 
-dualbound = 2144131.273779, lowerbound=1112031.273779, norm of subgrad 1055.262656	dualbound = 2144131.273779, lowerbound=1112031.273779, norm of subgrad 42.427852	 stepsize= 1.000000 
-dualbound = 2144372.185948, lowerbound=1120616.185948, norm of subgrad 1059.293248	dualbound = 2144372.185948, lowerbound=1120616.185948, norm of subgrad 41.556133	 stepsize= 1.000000 
-dualbound = 2144667.020938, lowerbound=1113725.020938, norm of subgrad 1056.033627	dualbound = 2144667.020938, lowerbound=1113725.020938, norm of subgrad 42.152521	 stepsize= 1.000000 
-dualbound = 2144888.885254, lowerbound=1116644.885254, norm of subgrad 1057.405261	dualbound = 2144888.885254, lowerbound=1116644.885254, norm of subgrad 41.022729	 stepsize= 1.000000 
-dualbound = 2145173.109244, lowerbound=1118307.109244, norm of subgrad 1058.194268	dualbound = 2145173.109244, lowerbound=1118307.109244, norm of subgrad 41.859575	 stepsize= 1.000000 
-dualbound = 2145380.357887, lowerbound=1117279.357887, norm of subgrad 1057.715159	dualbound = 2145380.357887, lowerbound=1117279.357887, norm of subgrad 41.100470	 stepsize= 1.000000 
-dualbound = 2145670.807019, lowerbound=1117647.807019, norm of subgrad 1057.877501	dualbound = 2145670.807019, lowerbound=1117647.807019, norm of subgrad 41.802502	 stepsize= 1.000000 
-dualbound = 2145898.378790, lowerbound=1117082.378790, norm of subgrad 1057.649932	dualbound = 2145898.378790, lowerbound=1117082.378790, norm of subgrad 42.054391	 stepsize= 1.000000 
-dualbound = 2146120.325914, lowerbound=1116063.325914, norm of subgrad 1057.185095	dualbound = 2146120.325914, lowerbound=1116063.325914, norm of subgrad 42.413997	 stepsize= 1.000000 
-dualbound = 2146379.560354, lowerbound=1117281.560354, norm of subgrad 1057.718091	dualbound = 2146379.560354, lowerbound=1117281.560354, norm of subgrad 41.776003	 stepsize= 1.000000 
-dualbound = 2146637.550833, lowerbound=1115613.550833, norm of subgrad 1056.917949	dualbound = 2146637.550833, lowerbound=1115613.550833, norm of subgrad 41.472768	 stepsize= 1.000000 
-dualbound = 2146880.611587, lowerbound=1116386.611587, norm of subgrad 1057.336092	dualbound = 2146880.611587, lowerbound=1116386.611587, norm of subgrad 42.615264	 stepsize= 1.000000 
-dualbound = 2147107.638985, lowerbound=1117889.638985, norm of subgrad 1058.044252	dualbound = 2147107.638985, lowerbound=1117889.638985, norm of subgrad 42.367764	 stepsize= 1.000000 
-dualbound = 2147356.852214, lowerbound=1114659.852214, norm of subgrad 1056.459111	dualbound = 2147356.852214, lowerbound=1114659.852214, norm of subgrad 41.172967	 stepsize= 1.000000 
-dualbound = 2147622.835055, lowerbound=1115711.835055, norm of subgrad 1056.970120	dualbound = 2147622.835055, lowerbound=1115711.835055, norm of subgrad 41.713102	 stepsize= 1.000000 
-dualbound = 2147855.028801, lowerbound=1118073.028801, norm of subgrad 1058.125715	dualbound = 2147855.028801, lowerbound=1118073.028801, norm of subgrad 42.298862	 stepsize= 1.000000 
-dualbound = 2148110.912022, lowerbound=1118593.912022, norm of subgrad 1058.359066	dualbound = 2148110.912022, lowerbound=1118593.912022, norm of subgrad 42.259712	 stepsize= 1.000000 
-dualbound = 2148359.448338, lowerbound=1118978.448338, norm of subgrad 1058.552997	dualbound = 2148359.448338, lowerbound=1118978.448338, norm of subgrad 42.479834	 stepsize= 1.000000 
-dualbound = 2148609.844090, lowerbound=1113516.844090, norm of subgrad 1055.965361	dualbound = 2148609.844090, lowerbound=1113516.844090, norm of subgrad 42.383909	 stepsize= 1.000000 
-dualbound = 2148849.259575, lowerbound=1119326.259575, norm of subgrad 1058.714437	dualbound = 2148849.259575, lowerbound=1119326.259575, norm of subgrad 42.301483	 stepsize= 1.000000 
-dualbound = 2149104.876941, lowerbound=1116021.876941, norm of subgrad 1057.163127	dualbound = 2149104.876941, lowerbound=1116021.876941, norm of subgrad 42.750642	 stepsize= 1.000000 
-dualbound = 2149341.829466, lowerbound=1119243.829466, norm of subgrad 1058.675507	dualbound = 2149341.829466, lowerbound=1119243.829466, norm of subgrad 42.272361	 stepsize= 1.000000 
-dualbound = 2149600.587858, lowerbound=1112500.587858, norm of subgrad 1055.492107	dualbound = 2149600.587858, lowerbound=1112500.587858, norm of subgrad 42.682062	 stepsize= 1.000000 
-dualbound = 2149839.264171, lowerbound=1119763.264171, norm of subgrad 1058.914191	dualbound = 2149839.264171, lowerbound=1119763.264171, norm of subgrad 42.126907	 stepsize= 1.000000 
-dualbound = 2150098.998953, lowerbound=1116245.998953, norm of subgrad 1057.240275	dualbound = 2150098.998953, lowerbound=1116245.998953, norm of subgrad 42.080100	 stepsize= 1.000000 
-dualbound = 2150346.180247, lowerbound=1117881.180247, norm of subgrad 1058.009064	dualbound = 2150346.180247, lowerbound=1117881.180247, norm of subgrad 41.823215	 stepsize= 1.000000 
-dualbound = 2150577.386675, lowerbound=1114776.386675, norm of subgrad 1056.552595	dualbound = 2150577.386675, lowerbound=1114776.386675, norm of subgrad 41.930972	 stepsize= 1.000000 
-dualbound = 2150828.476945, lowerbound=1119443.476945, norm of subgrad 1058.782072	dualbound = 2150828.476945, lowerbound=1119443.476945, norm of subgrad 42.744476	 stepsize= 1.000000 
-dualbound = 2151066.277111, lowerbound=1119865.277111, norm of subgrad 1058.976051	dualbound = 2151066.277111, lowerbound=1119865.277111, norm of subgrad 42.459394	 stepsize= 1.000000 
-dualbound = 2151330.620950, lowerbound=1116137.620950, norm of subgrad 1057.189964	dualbound = 2151330.620950, lowerbound=1116137.620950, norm of subgrad 42.158556	 stepsize= 1.000000 
-dualbound = 2151578.573763, lowerbound=1118238.573763, norm of subgrad 1058.169917	dualbound = 2151578.573763, lowerbound=1118238.573763, norm of subgrad 41.628750	 stepsize= 1.000000 
-dualbound = 2151849.418269, lowerbound=1118238.418269, norm of subgrad 1058.181184	dualbound = 2151849.418269, lowerbound=1118238.418269, norm of subgrad 42.188203	 stepsize= 1.000000 
-dualbound = 2152065.274855, lowerbound=1115711.274855, norm of subgrad 1057.002022	dualbound = 2152065.274855, lowerbound=1115711.274855, norm of subgrad 41.926800	 stepsize= 1.000000 
-dualbound = 2152308.296059, lowerbound=1118918.296059, norm of subgrad 1058.519389	dualbound = 2152308.296059, lowerbound=1118918.296059, norm of subgrad 42.285000	 stepsize= 1.000000 
-dualbound = 2152560.222332, lowerbound=1114335.222332, norm of subgrad 1056.343326	dualbound = 2152560.222332, lowerbound=1114335.222332, norm of subgrad 42.165463	 stepsize= 1.000000 
-dualbound = 2152802.029215, lowerbound=1119142.029215, norm of subgrad 1058.611368	dualbound = 2152802.029215, lowerbound=1119142.029215, norm of subgrad 41.926208	 stepsize= 1.000000 
-dualbound = 2153078.160721, lowerbound=1118399.160721, norm of subgrad 1058.275560	dualbound = 2153078.160721, lowerbound=1118399.160721, norm of subgrad 42.709853	 stepsize= 1.000000 
-dualbound = 2153297.303758, lowerbound=1118016.303758, norm of subgrad 1058.083789	dualbound = 2153297.303758, lowerbound=1118016.303758, norm of subgrad 41.762939	 stepsize= 1.000000 
-dualbound = 2153559.866920, lowerbound=1119135.866920, norm of subgrad 1058.603735	dualbound = 2153559.866920, lowerbound=1119135.866920, norm of subgrad 42.054288	 stepsize= 1.000000 
-dualbound = 2153772.051476, lowerbound=1119786.051476, norm of subgrad 1058.948559	dualbound = 2153772.051476, lowerbound=1119786.051476, norm of subgrad 42.405006	 stepsize= 1.000000 
-dualbound = 2154030.809670, lowerbound=1115674.809670, norm of subgrad 1056.972000	dualbound = 2154030.809670, lowerbound=1115674.809670, norm of subgrad 42.116009	 stepsize= 1.000000 
-dualbound = 2154290.216600, lowerbound=1119651.216600, norm of subgrad 1058.832478	dualbound = 2154290.216600, lowerbound=1119651.216600, norm of subgrad 41.646211	 stepsize= 1.000000 
-dualbound = 2154541.634396, lowerbound=1115985.634396, norm of subgrad 1057.118080	dualbound = 2154541.634396, lowerbound=1115985.634396, norm of subgrad 42.004973	 stepsize= 1.000000 
-dualbound = 2154788.466118, lowerbound=1119372.466118, norm of subgrad 1058.756094	dualbound = 2154788.466118, lowerbound=1119372.466118, norm of subgrad 42.881601	 stepsize= 1.000000 
-dualbound = 2155002.171781, lowerbound=1120423.171781, norm of subgrad 1059.239903	dualbound = 2155002.171781, lowerbound=1120423.171781, norm of subgrad 42.186558	 stepsize= 1.000000 
-dualbound = 2155283.375672, lowerbound=1116554.375672, norm of subgrad 1057.360570	dualbound = 2155283.375672, lowerbound=1116554.375672, norm of subgrad 41.691772	 stepsize= 1.000000 
-dualbound = 2155515.720419, lowerbound=1114559.720419, norm of subgrad 1056.430178	dualbound = 2155515.720419, lowerbound=1114559.720419, norm of subgrad 41.440858	 stepsize= 1.000000 
-dualbound = 2155783.561137, lowerbound=1120523.561137, norm of subgrad 1059.238198	dualbound = 2155783.561137, lowerbound=1120523.561137, norm of subgrad 41.591354	 stepsize= 1.000000 
-dualbound = 2156037.294194, lowerbound=1115787.294194, norm of subgrad 1057.002031	dualbound = 2156037.294194, lowerbound=1115787.294194, norm of subgrad 41.469664	 stepsize= 1.000000 
-dualbound = 2156267.130780, lowerbound=1119249.130780, norm of subgrad 1058.673288	dualbound = 2156267.130780, lowerbound=1119249.130780, norm of subgrad 42.069426	 stepsize= 1.000000 
-dualbound = 2156502.643983, lowerbound=1114809.643983, norm of subgrad 1056.571646	dualbound = 2156502.643983, lowerbound=1114809.643983, norm of subgrad 42.065582	 stepsize= 1.000000 
-dualbound = 2156754.474286, lowerbound=1122496.474286, norm of subgrad 1060.204449	dualbound = 2156754.474286, lowerbound=1122496.474286, norm of subgrad 42.294566	 stepsize= 1.000000 
-dualbound = 2156977.217530, lowerbound=1120323.217530, norm of subgrad 1059.154010	dualbound = 2156977.217530, lowerbound=1120323.217530, norm of subgrad 41.312749	 stepsize= 1.000000 
-dualbound = 2157253.090338, lowerbound=1118550.090338, norm of subgrad 1058.298677	dualbound = 2157253.090338, lowerbound=1118550.090338, norm of subgrad 41.495455	 stepsize= 1.000000 
-dualbound = 2157497.297053, lowerbound=1114713.297053, norm of subgrad 1056.489610	dualbound = 2157497.297053, lowerbound=1114713.297053, norm of subgrad 41.245687	 stepsize= 1.000000 
-dualbound = 2157739.792798, lowerbound=1120697.792798, norm of subgrad 1059.375662	dualbound = 2157739.792798, lowerbound=1120697.792798, norm of subgrad 42.678985	 stepsize= 1.000000 
-dualbound = 2157965.864007, lowerbound=1116603.864007, norm of subgrad 1057.404305	dualbound = 2157965.864007, lowerbound=1116603.864007, norm of subgrad 41.546013	 stepsize= 1.000000 
-dualbound = 2158204.860169, lowerbound=1114284.860169, norm of subgrad 1056.331321	dualbound = 2158204.860169, lowerbound=1114284.860169, norm of subgrad 42.308346	 stepsize= 1.000000 
-dualbound = 2158464.938649, lowerbound=1120043.938649, norm of subgrad 1059.059459	dualbound = 2158464.938649, lowerbound=1120043.938649, norm of subgrad 42.697523	 stepsize= 1.000000 
-dualbound = 2158701.928260, lowerbound=1119361.928260, norm of subgrad 1058.729866	dualbound = 2158701.928260, lowerbound=1119361.928260, norm of subgrad 42.237301	 stepsize= 1.000000 
-dualbound = 2158946.676398, lowerbound=1116644.676398, norm of subgrad 1057.453865	dualbound = 2158946.676398, lowerbound=1116644.676398, norm of subgrad 42.529380	 stepsize= 1.000000 
-dualbound = 2159185.281295, lowerbound=1118422.281295, norm of subgrad 1058.281286	dualbound = 2159185.281295, lowerbound=1118422.281295, norm of subgrad 42.137927	 stepsize= 1.000000 
-dualbound = 2159458.242450, lowerbound=1118954.242450, norm of subgrad 1058.541092	dualbound = 2159458.242450, lowerbound=1118954.242450, norm of subgrad 42.754662	 stepsize= 1.000000 
-dualbound = 2159672.857262, lowerbound=1120196.857262, norm of subgrad 1059.103799	dualbound = 2159672.857262, lowerbound=1120196.857262, norm of subgrad 41.456179	 stepsize= 1.000000 
-dualbound = 2159952.705604, lowerbound=1116580.705604, norm of subgrad 1057.361672	dualbound = 2159952.705604, lowerbound=1116580.705604, norm of subgrad 41.386572	 stepsize= 1.000000 
-dualbound = 2160212.454185, lowerbound=1118138.454185, norm of subgrad 1058.124971	dualbound = 2160212.454185, lowerbound=1118138.454185, norm of subgrad 41.829996	 stepsize= 1.000000 
-dualbound = 2160452.248345, lowerbound=1118849.248345, norm of subgrad 1058.455123	dualbound = 2160452.248345, lowerbound=1118849.248345, norm of subgrad 41.446280	 stepsize= 1.000000 
-dualbound = 2160690.187968, lowerbound=1116847.187968, norm of subgrad 1057.505172	dualbound = 2160690.187968, lowerbound=1116847.187968, norm of subgrad 41.327226	 stepsize= 1.000000 
-dualbound = 2160928.140715, lowerbound=1120713.140715, norm of subgrad 1059.344203	dualbound = 2160928.140715, lowerbound=1120713.140715, norm of subgrad 41.652764	 stepsize= 1.000000 
-dualbound = 2161165.963875, lowerbound=1121050.963875, norm of subgrad 1059.527708	dualbound = 2161165.963875, lowerbound=1121050.963875, norm of subgrad 42.259001	 stepsize= 1.000000 
-dualbound = 2161392.897948, lowerbound=1116072.897948, norm of subgrad 1057.172596	dualbound = 2161392.897948, lowerbound=1116072.897948, norm of subgrad 42.046808	 stepsize= 1.000000 
-dualbound = 2161658.563106, lowerbound=1123226.563106, norm of subgrad 1060.568981	dualbound = 2161658.563106, lowerbound=1123226.563106, norm of subgrad 42.961205	 stepsize= 1.000000 
-dualbound = 2161873.757641, lowerbound=1119309.757641, norm of subgrad 1058.707588	dualbound = 2161873.757641, lowerbound=1119309.757641, norm of subgrad 42.038013	 stepsize= 1.000000 
-dualbound = 2162137.626794, lowerbound=1122595.626794, norm of subgrad 1060.245079	dualbound = 2162137.626794, lowerbound=1122595.626794, norm of subgrad 42.283202	 stepsize= 1.000000 
-dualbound = 2162392.837901, lowerbound=1121862.837900, norm of subgrad 1059.898975	dualbound = 2162392.837901, lowerbound=1121862.837900, norm of subgrad 42.168840	 stepsize= 1.000000 
-dualbound = 2162628.754525, lowerbound=1119815.754525, norm of subgrad 1058.901201	dualbound = 2162628.754525, lowerbound=1119815.754525, norm of subgrad 41.132914	 stepsize= 1.000000 
-dualbound = 2162876.695647, lowerbound=1118096.695647, norm of subgrad 1058.113744	dualbound = 2162876.695647, lowerbound=1118096.695647, norm of subgrad 41.903951	 stepsize= 1.000000 
-dualbound = 2163117.774538, lowerbound=1119597.774538, norm of subgrad 1058.800630	dualbound = 2163117.774538, lowerbound=1119597.774538, norm of subgrad 41.256259	 stepsize= 1.000000 
-dualbound = 2163359.566337, lowerbound=1119977.566337, norm of subgrad 1058.980909	dualbound = 2163359.566337, lowerbound=1119977.566337, norm of subgrad 41.289124	 stepsize= 1.000000 
-dualbound = 2163603.807370, lowerbound=1122419.807370, norm of subgrad 1060.171593	dualbound = 2163603.807370, lowerbound=1122419.807370, norm of subgrad 42.287599	 stepsize= 1.000000 
-dualbound = 2163825.769977, lowerbound=1117450.769977, norm of subgrad 1057.821237	dualbound = 2163825.769977, lowerbound=1117450.769977, norm of subgrad 41.916138	 stepsize= 1.000000 
-dualbound = 2164072.683189, lowerbound=1124801.683189, norm of subgrad 1061.289161	dualbound = 2164072.683189, lowerbound=1124801.683189, norm of subgrad 42.189018	 stepsize= 1.000000 
-dualbound = 2164315.695892, lowerbound=1117920.695892, norm of subgrad 1058.038135	dualbound = 2164315.695892, lowerbound=1117920.695892, norm of subgrad 42.035850	 stepsize= 1.000000 
-dualbound = 2164553.904535, lowerbound=1118753.904535, norm of subgrad 1058.432759	dualbound = 2164553.904535, lowerbound=1118753.904535, norm of subgrad 42.002484	 stepsize= 1.000000 
-dualbound = 2164791.637108, lowerbound=1119981.637108, norm of subgrad 1058.988497	dualbound = 2164791.637108, lowerbound=1119981.637108, norm of subgrad 41.385173	 stepsize= 1.000000 
-dualbound = 2165072.786354, lowerbound=1125196.786354, norm of subgrad 1061.454562	dualbound = 2165072.786354, lowerbound=1125196.786354, norm of subgrad 42.073142	 stepsize= 1.000000 
-dualbound = 2165290.090125, lowerbound=1119331.090125, norm of subgrad 1058.682242	dualbound = 2165290.090125, lowerbound=1119331.090125, norm of subgrad 41.161921	 stepsize= 1.000000 
-dualbound = 2165520.385974, lowerbound=1122480.385974, norm of subgrad 1060.220442	dualbound = 2165520.385974, lowerbound=1122480.385974, norm of subgrad 42.629753	 stepsize= 1.000000 
-dualbound = 2165751.823168, lowerbound=1119481.823168, norm of subgrad 1058.780819	dualbound = 2165751.823168, lowerbound=1119481.823168, norm of subgrad 42.029004	 stepsize= 1.000000 
-dualbound = 2166023.632981, lowerbound=1121793.632981, norm of subgrad 1059.825756	dualbound = 2166023.632981, lowerbound=1121793.632981, norm of subgrad 41.337753	 stepsize= 1.000000 
-dualbound = 2166269.013651, lowerbound=1120243.013651, norm of subgrad 1059.140224	dualbound = 2166269.013651, lowerbound=1120243.013651, norm of subgrad 42.194557	 stepsize= 1.000000 
-dualbound = 2166497.152205, lowerbound=1121807.152205, norm of subgrad 1059.880725	dualbound = 2166497.152205, lowerbound=1121807.152205, norm of subgrad 42.049240	 stepsize= 1.000000 
-dualbound = 2166718.729267, lowerbound=1117255.729267, norm of subgrad 1057.711080	dualbound = 2166718.729267, lowerbound=1117255.729267, norm of subgrad 41.455724	 stepsize= 1.000000 
-dualbound = 2166976.217673, lowerbound=1125196.217673, norm of subgrad 1061.468896	dualbound = 2166976.217673, lowerbound=1125196.217673, norm of subgrad 42.160270	 stepsize= 1.000000 
-dualbound = 2167217.533346, lowerbound=1116880.533346, norm of subgrad 1057.536067	dualbound = 2167217.533346, lowerbound=1116880.533346, norm of subgrad 41.753032	 stepsize= 1.000000 
-dualbound = 2167456.992392, lowerbound=1124694.992392, norm of subgrad 1061.229943	dualbound = 2167456.992392, lowerbound=1124694.992392, norm of subgrad 41.874324	 stepsize= 1.000000 
-dualbound = 2167689.324030, lowerbound=1118521.324030, norm of subgrad 1058.302567	dualbound = 2167689.324030, lowerbound=1118521.324030, norm of subgrad 41.416562	 stepsize= 1.000000 
-dualbound = 2167958.876980, lowerbound=1119124.876980, norm of subgrad 1058.589570	dualbound = 2167958.876980, lowerbound=1119124.876980, norm of subgrad 41.911251	 stepsize= 1.000000 
-dualbound = 2168171.105206, lowerbound=1122486.105206, norm of subgrad 1060.196258	dualbound = 2168171.105206, lowerbound=1122486.105206, norm of subgrad 41.740008	 stepsize= 1.000000 
-dualbound = 2168427.781669, lowerbound=1124165.781669, norm of subgrad 1061.017805	dualbound = 2168427.781669, lowerbound=1124165.781669, norm of subgrad 43.007865	 stepsize= 1.000000 
-dualbound = 2168649.701645, lowerbound=1118695.701645, norm of subgrad 1058.398650	dualbound = 2168649.701645, lowerbound=1118695.701645, norm of subgrad 41.640365	 stepsize= 1.000000 
-dualbound = 2168933.169893, lowerbound=1122168.169893, norm of subgrad 1060.030740	dualbound = 2168933.169893, lowerbound=1122168.169893, norm of subgrad 42.195595	 stepsize= 1.000000 
-dualbound = 2169139.784277, lowerbound=1121520.784277, norm of subgrad 1059.741848	dualbound = 2169139.784277, lowerbound=1121520.784277, norm of subgrad 41.696695	 stepsize= 1.000000 
-dualbound = 2169370.631651, lowerbound=1120683.631651, norm of subgrad 1059.335467	dualbound = 2169370.631651, lowerbound=1120683.631651, norm of subgrad 41.699489	 stepsize= 1.000000 
-dualbound = 2169636.178655, lowerbound=1121715.178655, norm of subgrad 1059.825542	dualbound = 2169636.178655, lowerbound=1121715.178655, norm of subgrad 42.196528	 stepsize= 1.000000 
-dualbound = 2169869.205662, lowerbound=1120302.205662, norm of subgrad 1059.130873	dualbound = 2169869.205662, lowerbound=1120302.205662, norm of subgrad 41.097774	 stepsize= 1.000000 
-dualbound = 2170114.378049, lowerbound=1120639.378049, norm of subgrad 1059.299003	dualbound = 2170114.378049, lowerbound=1120639.378049, norm of subgrad 41.474961	 stepsize= 1.000000 
-dualbound = 2170346.487038, lowerbound=1117653.487038, norm of subgrad 1057.904290	dualbound = 2170346.487038, lowerbound=1117653.487038, norm of subgrad 41.714614	 stepsize= 1.000000 
-dualbound = 2170576.530525, lowerbound=1122805.530525, norm of subgrad 1060.343119	dualbound = 2170576.530525, lowerbound=1122805.530525, norm of subgrad 41.857419	 stepsize= 1.000000 
-dualbound = 2170837.377932, lowerbound=1121368.377932, norm of subgrad 1059.662861	dualbound = 2170837.377932, lowerbound=1121368.377932, norm of subgrad 42.164528	 stepsize= 1.000000 
-dualbound = 2171072.740149, lowerbound=1123943.740149, norm of subgrad 1060.886771	dualbound = 2171072.740149, lowerbound=1123943.740149, norm of subgrad 42.099433	 stepsize= 1.000000 
-dualbound = 2171326.073308, lowerbound=1121373.073308, norm of subgrad 1059.655167	dualbound = 2171326.073308, lowerbound=1121373.073308, norm of subgrad 41.825030	 stepsize= 1.000000 
-dualbound = 2171570.920415, lowerbound=1120657.920415, norm of subgrad 1059.310587	dualbound = 2171570.920415, lowerbound=1120657.920415, norm of subgrad 41.543316	 stepsize= 1.000000 
-dualbound = 2171817.550139, lowerbound=1120898.550139, norm of subgrad 1059.410473	dualbound = 2171817.550139, lowerbound=1120898.550139, norm of subgrad 41.214436	 stepsize= 1.000000 
-dualbound = 2172039.637969, lowerbound=1122111.637969, norm of subgrad 1060.035206	dualbound = 2172039.637969, lowerbound=1122111.637969, norm of subgrad 42.250300	 stepsize= 1.000000 
-dualbound = 2172264.096911, lowerbound=1124578.096911, norm of subgrad 1061.184761	dualbound = 2172264.096911, lowerbound=1124578.096911, norm of subgrad 41.945905	 stepsize= 1.000000 
-dualbound = 2172551.116805, lowerbound=1118084.116805, norm of subgrad 1058.067633	dualbound = 2172551.116805, lowerbound=1118084.116805, norm of subgrad 41.352387	 stepsize= 1.000000 
-dualbound = 2172778.250335, lowerbound=1121898.250335, norm of subgrad 1059.884546	dualbound = 2172778.250335, lowerbound=1121898.250335, norm of subgrad 41.038196	 stepsize= 1.000000 
-dualbound = 2173016.860024, lowerbound=1119239.860024, norm of subgrad 1058.632542	dualbound = 2173016.860024, lowerbound=1119239.860024, norm of subgrad 41.250572	 stepsize= 1.000000 
-dualbound = 2173244.266098, lowerbound=1122220.266098, norm of subgrad 1060.043993	dualbound = 2173244.266098, lowerbound=1122220.266098, norm of subgrad 41.235980	 stepsize= 1.000000 
-dualbound = 2173483.563155, lowerbound=1120232.563155, norm of subgrad 1059.118295	dualbound = 2173483.563155, lowerbound=1120232.563155, norm of subgrad 41.692890	 stepsize= 1.000000 
-dualbound = 2173720.903422, lowerbound=1121762.903422, norm of subgrad 1059.833432	dualbound = 2173720.903422, lowerbound=1121762.903422, norm of subgrad 41.489038	 stepsize= 1.000000 
-dualbound = 2173985.532032, lowerbound=1124684.532032, norm of subgrad 1061.206168	dualbound = 2173985.532032, lowerbound=1124684.532032, norm of subgrad 41.696866	 stepsize= 1.000000 
-dualbound = 2174208.767792, lowerbound=1118557.767792, norm of subgrad 1058.335848	dualbound = 2174208.767792, lowerbound=1118557.767792, norm of subgrad 41.716133	 stepsize= 1.000000 
-dualbound = 2174458.345135, lowerbound=1121768.345135, norm of subgrad 1059.861475	dualbound = 2174458.345135, lowerbound=1121768.345135, norm of subgrad 42.279751	 stepsize= 1.000000 
-dualbound = 2174679.080741, lowerbound=1122508.080741, norm of subgrad 1060.211338	dualbound = 2174679.080741, lowerbound=1122508.080741, norm of subgrad 41.961120	 stepsize= 1.000000 
-dualbound = 2174943.864211, lowerbound=1117792.864211, norm of subgrad 1057.978196	dualbound = 2174943.864211, lowerbound=1117792.864211, norm of subgrad 42.305833	 stepsize= 1.000000 
-dualbound = 2175169.261590, lowerbound=1124002.261590, norm of subgrad 1060.930375	dualbound = 2175169.261590, lowerbound=1124002.261590, norm of subgrad 42.383928	 stepsize= 1.000000 
-dualbound = 2175392.268073, lowerbound=1118782.268073, norm of subgrad 1058.462219	dualbound = 2175392.268073, lowerbound=1118782.268073, norm of subgrad 42.225661	 stepsize= 1.000000 
-dualbound = 2175638.705616, lowerbound=1122337.705616, norm of subgrad 1060.139475	dualbound = 2175638.705616, lowerbound=1122337.705616, norm of subgrad 42.478672	 stepsize= 1.000000 
-dualbound = 2175892.222867, lowerbound=1121715.222867, norm of subgrad 1059.787348	dualbound = 2175892.222867, lowerbound=1121715.222867, norm of subgrad 41.079402	 stepsize= 1.000000 
-dualbound = 2176117.850490, lowerbound=1119632.850490, norm of subgrad 1058.829000	dualbound = 2176117.850490, lowerbound=1119632.850490, norm of subgrad 41.371822	 stepsize= 1.000000 
-dualbound = 2176372.684141, lowerbound=1122668.684141, norm of subgrad 1060.249822	dualbound = 2176372.684141, lowerbound=1122668.684141, norm of subgrad 41.422622	 stepsize= 1.000000 
-dualbound = 2176636.782659, lowerbound=1122084.782659, norm of subgrad 1059.982445	dualbound = 2176636.782659, lowerbound=1122084.782659, norm of subgrad 41.738454	 stepsize= 1.000000 
-dualbound = 2176836.230140, lowerbound=1125898.230140, norm of subgrad 1061.803763	dualbound = 2176836.230140, lowerbound=1125898.230140, norm of subgrad 41.574601	 stepsize= 1.000000 
-dualbound = 2177105.058271, lowerbound=1119849.058271, norm of subgrad 1058.938647	dualbound = 2177105.058271, lowerbound=1119849.058271, norm of subgrad 42.081209	 stepsize= 1.000000 
-dualbound = 2177318.142672, lowerbound=1118023.142672, norm of subgrad 1058.077569	dualbound = 2177318.142672, lowerbound=1118023.142672, norm of subgrad 41.449782	 stepsize= 1.000000 
-dualbound = 2177575.990791, lowerbound=1124394.990791, norm of subgrad 1061.131467	dualbound = 2177575.990791, lowerbound=1124394.990791, norm of subgrad 43.160724	 stepsize= 1.000000 
-dualbound = 2177796.973578, lowerbound=1120429.973578, norm of subgrad 1059.198741	dualbound = 2177796.973578, lowerbound=1120429.973578, norm of subgrad 41.145872	 stepsize= 1.000000 
-dualbound = 2178080.144916, lowerbound=1123210.144916, norm of subgrad 1060.498065	dualbound = 2178080.144916, lowerbound=1123210.144916, norm of subgrad 41.583306	 stepsize= 1.000000 
-dualbound = 2178296.938199, lowerbound=1121320.938199, norm of subgrad 1059.631511	dualbound = 2178296.938199, lowerbound=1121320.938199, norm of subgrad 41.410063	 stepsize= 1.000000 
-dualbound = 2178520.038829, lowerbound=1125842.038829, norm of subgrad 1061.761291	dualbound = 2178520.038829, lowerbound=1125842.038829, norm of subgrad 41.449977	 stepsize= 1.000000 
-dualbound = 2178765.833897, lowerbound=1118364.833897, norm of subgrad 1058.258869	dualbound = 2178765.833897, lowerbound=1118364.833897, norm of subgrad 42.341411	 stepsize= 1.000000 
-dualbound = 2179000.494042, lowerbound=1126694.494042, norm of subgrad 1062.190893	dualbound = 2179000.494042, lowerbound=1126694.494042, norm of subgrad 42.304375	 stepsize= 1.000000 
-dualbound = 2179216.497010, lowerbound=1122723.497010, norm of subgrad 1060.340746	dualbound = 2179216.497010, lowerbound=1122723.497010, norm of subgrad 42.602852	 stepsize= 1.000000 
-dualbound = 2179462.819239, lowerbound=1122188.819239, norm of subgrad 1060.040008	dualbound = 2179462.819239, lowerbound=1122188.819239, norm of subgrad 41.741134	 stepsize= 1.000000 
-dualbound = 2179731.228571, lowerbound=1118274.228571, norm of subgrad 1058.163139	dualbound = 2179731.228571, lowerbound=1118274.228571, norm of subgrad 41.272380	 stepsize= 1.000000 
-dualbound = 2179991.794061, lowerbound=1124434.794061, norm of subgrad 1061.067290	dualbound = 2179991.794061, lowerbound=1124434.794061, norm of subgrad 41.104324	 stepsize= 1.000000 
-dualbound = 2180204.246078, lowerbound=1122319.246078, norm of subgrad 1060.093980	dualbound = 2180204.246078, lowerbound=1122319.246078, norm of subgrad 41.139422	 stepsize= 1.000000 
-dualbound = 2180456.816756, lowerbound=1125626.816756, norm of subgrad 1061.628851	dualbound = 2180456.816756, lowerbound=1125626.816756, norm of subgrad 41.006959	 stepsize= 1.000000 
-dualbound = 2180687.726546, lowerbound=1119052.726546, norm of subgrad 1058.590443	dualbound = 2180687.726546, lowerbound=1119052.726546, norm of subgrad 42.330955	 stepsize= 1.000000 
-dualbound = 2180923.646273, lowerbound=1124988.646273, norm of subgrad 1061.375827	dualbound = 2180923.646273, lowerbound=1124988.646273, norm of subgrad 42.022848	 stepsize= 1.000000 
-dualbound = 2181149.928635, lowerbound=1116552.928635, norm of subgrad 1057.401971	dualbound = 2181149.928635, lowerbound=1116552.928635, norm of subgrad 42.098484	 stepsize= 1.000000 
-dualbound = 2181407.432936, lowerbound=1123158.432936, norm of subgrad 1060.515173	dualbound = 2181407.432936, lowerbound=1123158.432936, norm of subgrad 42.326166	 stepsize= 1.000000 
-dualbound = 2181623.420787, lowerbound=1124601.420787, norm of subgrad 1061.207530	dualbound = 2181623.420787, lowerbound=1124601.420787, norm of subgrad 42.142471	 stepsize= 1.000000 
-dualbound = 2181879.028302, lowerbound=1121527.028302, norm of subgrad 1059.724506	dualbound = 2181879.028302, lowerbound=1121527.028302, norm of subgrad 41.768499	 stepsize= 1.000000 
-dualbound = 2182134.819340, lowerbound=1119783.819340, norm of subgrad 1058.885650	dualbound = 2182134.819340, lowerbound=1119783.819340, norm of subgrad 41.361710	 stepsize= 1.000000 
-dualbound = 2182393.059503, lowerbound=1122206.059503, norm of subgrad 1060.030216	dualbound = 2182393.059503, lowerbound=1122206.059503, norm of subgrad 41.427529	 stepsize= 1.000000 
-dualbound = 2182620.085541, lowerbound=1120961.085541, norm of subgrad 1059.452729	dualbound = 2182620.085541, lowerbound=1120961.085541, norm of subgrad 41.304068	 stepsize= 1.000000 
-dualbound = 2182860.036502, lowerbound=1124566.036502, norm of subgrad 1061.155048	dualbound = 2182860.036502, lowerbound=1124566.036502, norm of subgrad 41.520488	 stepsize= 1.000000 
-dualbound = 2183100.041704, lowerbound=1120752.041704, norm of subgrad 1059.376723	dualbound = 2183100.041704, lowerbound=1120752.041704, norm of subgrad 42.035761	 stepsize= 1.000000 
-dualbound = 2183323.436437, lowerbound=1125043.436437, norm of subgrad 1061.384208	dualbound = 2183323.436437, lowerbound=1125043.436437, norm of subgrad 41.429395	 stepsize= 1.000000 
-dualbound = 2183577.264050, lowerbound=1122803.264050, norm of subgrad 1060.322245	dualbound = 2183577.264050, lowerbound=1122803.264050, norm of subgrad 41.639256	 stepsize= 1.000000 
-dualbound = 2183805.286462, lowerbound=1122696.286462, norm of subgrad 1060.291133	dualbound = 2183805.286462, lowerbound=1122696.286462, norm of subgrad 41.821315	 stepsize= 1.000000 
-dualbound = 2184052.331987, lowerbound=1119252.331987, norm of subgrad 1058.682829	dualbound = 2184052.331987, lowerbound=1119252.331987, norm of subgrad 42.474057	 stepsize= 1.000000 
-dualbound = 2184272.100931, lowerbound=1122076.100931, norm of subgrad 1060.001463	dualbound = 2184272.100931, lowerbound=1122076.100931, norm of subgrad 41.794365	 stepsize= 1.000000 
-dualbound = 2184508.946763, lowerbound=1121686.946763, norm of subgrad 1059.811279	dualbound = 2184508.946763, lowerbound=1121686.946763, norm of subgrad 41.831159	 stepsize= 1.000000 
-dualbound = 2184761.102639, lowerbound=1121569.102639, norm of subgrad 1059.776440	dualbound = 2184761.102639, lowerbound=1121569.102639, norm of subgrad 42.534173	 stepsize= 1.000000 
-dualbound = 2184969.441403, lowerbound=1126062.441402, norm of subgrad 1061.898037	dualbound = 2184969.441403, lowerbound=1126062.441402, norm of subgrad 42.111029	 stepsize= 1.000000 
-dualbound = 2185235.421489, lowerbound=1122715.421489, norm of subgrad 1060.297327	dualbound = 2185235.421489, lowerbound=1122715.421489, norm of subgrad 42.201660	 stepsize= 1.000000 
-dualbound = 2185479.241258, lowerbound=1123572.241258, norm of subgrad 1060.679142	dualbound = 2185479.241258, lowerbound=1123572.241258, norm of subgrad 41.374144	 stepsize= 1.000000 
-dualbound = 2185735.176102, lowerbound=1123919.176102, norm of subgrad 1060.846443	dualbound = 2185735.176102, lowerbound=1123919.176102, norm of subgrad 41.616521	 stepsize= 1.000000 
-dualbound = 2185939.904333, lowerbound=1118199.904333, norm of subgrad 1058.190864	dualbound = 2185939.904333, lowerbound=1118199.904333, norm of subgrad 42.103779	 stepsize= 1.000000 
-dualbound = 2186202.372331, lowerbound=1124272.372331, norm of subgrad 1061.026094	dualbound = 2186202.372331, lowerbound=1124272.372331, norm of subgrad 42.029371	 stepsize= 1.000000 
-dualbound = 2186427.123386, lowerbound=1121757.123386, norm of subgrad 1059.837782	dualbound = 2186427.123386, lowerbound=1121757.123386, norm of subgrad 41.518081	 stepsize= 1.000000 
-dualbound = 2186674.286401, lowerbound=1120106.286401, norm of subgrad 1059.067650	dualbound = 2186674.286401, lowerbound=1120106.286401, norm of subgrad 42.013843	 stepsize= 1.000000 
-dualbound = 2186909.159957, lowerbound=1125620.159957, norm of subgrad 1061.674225	dualbound = 2186909.159957, lowerbound=1125620.159957, norm of subgrad 42.034195	 stepsize= 1.000000 
-dualbound = 2187143.120015, lowerbound=1122037.120015, norm of subgrad 1060.001000	dualbound = 2187143.120015, lowerbound=1122037.120015, norm of subgrad 42.414149	 stepsize= 1.000000 
-dualbound = 2187376.464134, lowerbound=1123596.464134, norm of subgrad 1060.732984	dualbound = 2187376.464134, lowerbound=1123596.464134, norm of subgrad 42.324273	 stepsize= 1.000000 
-dualbound = 2187628.868057, lowerbound=1122595.868057, norm of subgrad 1060.248965	dualbound = 2187628.868057, lowerbound=1122595.868057, norm of subgrad 42.242205	 stepsize= 1.000000 
-dualbound = 2187885.591590, lowerbound=1122867.591590, norm of subgrad 1060.365310	dualbound = 2187885.591590, lowerbound=1122867.591590, norm of subgrad 41.996709	 stepsize= 1.000000 
-dualbound = 2188112.931459, lowerbound=1122508.931459, norm of subgrad 1060.182971	dualbound = 2188112.931459, lowerbound=1122508.931459, norm of subgrad 41.307867	 stepsize= 1.000000 
-dualbound = 2188373.302415, lowerbound=1119497.302415, norm of subgrad 1058.771128	dualbound = 2188373.302415, lowerbound=1119497.302415, norm of subgrad 41.944856	 stepsize= 1.000000 
-dualbound = 2188585.769934, lowerbound=1122549.769934, norm of subgrad 1060.208833	dualbound = 2188585.769934, lowerbound=1122549.769934, norm of subgrad 41.297306	 stepsize= 1.000000 
-dualbound = 2188839.016204, lowerbound=1127166.016204, norm of subgrad 1062.388825	dualbound = 2188839.016204, lowerbound=1127166.016204, norm of subgrad 41.919521	 stepsize= 1.000000 
-dualbound = 2189058.986190, lowerbound=1123564.986190, norm of subgrad 1060.709190	dualbound = 2189058.986190, lowerbound=1123564.986190, norm of subgrad 41.940076	 stepsize= 1.000000 
-dualbound = 2189304.512222, lowerbound=1121713.512222, norm of subgrad 1059.830889	dualbound = 2189304.512222, lowerbound=1121713.512222, norm of subgrad 42.113252	 stepsize= 1.000000 
-dualbound = 2189552.822805, lowerbound=1121253.822805, norm of subgrad 1059.591819	dualbound = 2189552.822805, lowerbound=1121253.822805, norm of subgrad 41.584980	 stepsize= 1.000000 
-dualbound = 2189803.439890, lowerbound=1125881.439890, norm of subgrad 1061.783142	dualbound = 2189803.439890, lowerbound=1125881.439890, norm of subgrad 41.864270	 stepsize= 1.000000 
-dualbound = 2189999.662313, lowerbound=1121150.662313, norm of subgrad 1059.536060	dualbound = 2189999.662313, lowerbound=1121150.662313, norm of subgrad 40.770362	 stepsize= 1.000000 
-dualbound = 2190262.846177, lowerbound=1123118.846177, norm of subgrad 1060.499338	dualbound = 2190262.846177, lowerbound=1123118.846177, norm of subgrad 42.463912	 stepsize= 1.000000 
-dualbound = 2190470.841658, lowerbound=1124154.841658, norm of subgrad 1060.988144	dualbound = 2190470.841658, lowerbound=1124154.841658, norm of subgrad 41.820993	 stepsize= 1.000000 
-dualbound = 2190732.551608, lowerbound=1122332.551608, norm of subgrad 1060.119593	dualbound = 2190732.551608, lowerbound=1122332.551608, norm of subgrad 42.222150	 stepsize= 1.000000 
-dualbound = 2190968.483292, lowerbound=1123114.483292, norm of subgrad 1060.475593	dualbound = 2190968.483292, lowerbound=1123114.483292, norm of subgrad 41.592447	 stepsize= 1.000000 
-dualbound = 2191218.681369, lowerbound=1123748.681369, norm of subgrad 1060.782108	dualbound = 2191218.681369, lowerbound=1123748.681369, norm of subgrad 41.954715	 stepsize= 1.000000 
-dualbound = 2191439.645315, lowerbound=1121243.645315, norm of subgrad 1059.595038	dualbound = 2191439.645315, lowerbound=1121243.645315, norm of subgrad 41.460390	 stepsize= 1.000000 
-dualbound = 2191696.609379, lowerbound=1122664.609379, norm of subgrad 1060.242241	dualbound = 2191696.609379, lowerbound=1122664.609379, norm of subgrad 41.303318	 stepsize= 1.000000 
-dualbound = 2191934.269731, lowerbound=1121029.269731, norm of subgrad 1059.535403	dualbound = 2191934.269731, lowerbound=1121029.269731, norm of subgrad 42.704336	 stepsize= 1.000000 
-dualbound = 2192136.789592, lowerbound=1124724.789592, norm of subgrad 1061.293922	dualbound = 2192136.789592, lowerbound=1124724.789592, norm of subgrad 42.690981	 stepsize= 1.000000 
-dualbound = 2192362.222128, lowerbound=1120364.222128, norm of subgrad 1059.217741	dualbound = 2192362.222128, lowerbound=1120364.222128, norm of subgrad 42.466840	 stepsize= 1.000000 
-dualbound = 2192628.884611, lowerbound=1122084.884611, norm of subgrad 1060.005134	dualbound = 2192628.884611, lowerbound=1122084.884611, norm of subgrad 42.339845	 stepsize= 1.000000 
-dualbound = 2192881.376862, lowerbound=1120812.376862, norm of subgrad 1059.378769	dualbound = 2192881.376862, lowerbound=1120812.376862, norm of subgrad 41.514964	 stepsize= 1.000000 
-dualbound = 2193127.405474, lowerbound=1125461.405474, norm of subgrad 1061.582972	dualbound = 2193127.405474, lowerbound=1125461.405474, norm of subgrad 41.749594	 stepsize= 1.000000 
-dualbound = 2193348.751692, lowerbound=1123365.751692, norm of subgrad 1060.611499	dualbound = 2193348.751692, lowerbound=1123365.751692, norm of subgrad 41.861035	 stepsize= 1.000000 
-dualbound = 2193580.131023, lowerbound=1124862.131023, norm of subgrad 1061.321408	dualbound = 2193580.131023, lowerbound=1124862.131023, norm of subgrad 42.099636	 stepsize= 1.000000 
-dualbound = 2193844.417379, lowerbound=1119900.417379, norm of subgrad 1058.960064	dualbound = 2193844.417379, lowerbound=1119900.417379, norm of subgrad 41.955767	 stepsize= 1.000000 
-dualbound = 2194068.339723, lowerbound=1128996.339723, norm of subgrad 1063.259300	dualbound = 2194068.339723, lowerbound=1128996.339723, norm of subgrad 41.808161	 stepsize= 1.000000 
-dualbound = 2194302.344620, lowerbound=1123773.344620, norm of subgrad 1060.772523	dualbound = 2194302.344620, lowerbound=1123773.344620, norm of subgrad 41.218987	 stepsize= 1.000000 
-dualbound = 2194546.689176, lowerbound=1118852.689176, norm of subgrad 1058.455804	dualbound = 2194546.689176, lowerbound=1118852.689176, norm of subgrad 41.477036	 stepsize= 1.000000 
-dualbound = 2194779.584790, lowerbound=1125401.584790, norm of subgrad 1061.594831	dualbound = 2194779.584790, lowerbound=1125401.584790, norm of subgrad 42.601592	 stepsize= 1.000000 
-dualbound = 2195002.810373, lowerbound=1123387.810373, norm of subgrad 1060.633683	dualbound = 2195002.810373, lowerbound=1123387.810373, norm of subgrad 42.180868	 stepsize= 1.000000 
-dualbound = 2195267.611490, lowerbound=1120119.611490, norm of subgrad 1059.078662	dualbound = 2195267.611490, lowerbound=1120119.611490, norm of subgrad 42.341482	 stepsize= 1.000000 
-dualbound = 2195499.524135, lowerbound=1124931.524135, norm of subgrad 1061.365406	dualbound = 2195499.524135, lowerbound=1124931.524135, norm of subgrad 42.390006	 stepsize= 1.000000 
-dualbound = 2195704.371616, lowerbound=1124633.371616, norm of subgrad 1061.214574	dualbound = 2195704.371616, lowerbound=1124633.371616, norm of subgrad 41.807266	 stepsize= 1.000000 
-dualbound = 2195988.387565, lowerbound=1122123.387565, norm of subgrad 1060.006787	dualbound = 2195988.387565, lowerbound=1122123.387565, norm of subgrad 42.130938	 stepsize= 1.000000 
-dualbound = 2196212.765497, lowerbound=1122617.765497, norm of subgrad 1060.250803	dualbound = 2196212.765497, lowerbound=1122617.765497, norm of subgrad 41.693860	 stepsize= 1.000000 
-dualbound = 2196434.138684, lowerbound=1125314.138684, norm of subgrad 1061.528209	dualbound = 2196434.138684, lowerbound=1125314.138684, norm of subgrad 41.825509	 stepsize= 1.000000 
-dualbound = 2196680.716146, lowerbound=1120567.716146, norm of subgrad 1059.277922	dualbound = 2196680.716146, lowerbound=1120567.716146, norm of subgrad 41.815995	 stepsize= 1.000000 
-dualbound = 2196929.919157, lowerbound=1125532.919157, norm of subgrad 1061.657157	dualbound = 2196929.919157, lowerbound=1125532.919157, norm of subgrad 42.804241	 stepsize= 1.000000 
-dualbound = 2197151.579896, lowerbound=1122090.579896, norm of subgrad 1059.998858	dualbound = 2197151.579896, lowerbound=1122090.579896, norm of subgrad 41.577166	 stepsize= 1.000000 
-dualbound = 2197414.744066, lowerbound=1127478.744066, norm of subgrad 1062.569877	dualbound = 2197414.744066, lowerbound=1127478.744066, norm of subgrad 42.885477	 stepsize= 1.000000 
-dualbound = 2197630.246743, lowerbound=1122585.246743, norm of subgrad 1060.218018	dualbound = 2197630.246743, lowerbound=1122585.246743, norm of subgrad 41.140037	 stepsize= 1.000000 
-dualbound = 2197882.587094, lowerbound=1123274.587094, norm of subgrad 1060.548720	dualbound = 2197882.587094, lowerbound=1123274.587094, norm of subgrad 41.729370	 stepsize= 1.000000 
-dualbound = 2198132.099848, lowerbound=1124117.099848, norm of subgrad 1060.942081	dualbound = 2198132.099848, lowerbound=1124117.099848, norm of subgrad 41.599432	 stepsize= 1.000000 
-dualbound = 2198365.547614, lowerbound=1122023.547614, norm of subgrad 1059.958276	dualbound = 2198365.547614, lowerbound=1122023.547614, norm of subgrad 41.490333	 stepsize= 1.000000 
-dualbound = 2198597.150444, lowerbound=1121336.150444, norm of subgrad 1059.650013	dualbound = 2198597.150444, lowerbound=1121336.150444, norm of subgrad 41.876041	 stepsize= 1.000000 
-dualbound = 2198827.782655, lowerbound=1127346.782655, norm of subgrad 1062.471544	dualbound = 2198827.782655, lowerbound=1127346.782655, norm of subgrad 41.588847	 stepsize= 1.000000 
-dualbound = 2199066.536021, lowerbound=1121521.536021, norm of subgrad 1059.729464	dualbound = 2199066.536021, lowerbound=1121521.536021, norm of subgrad 41.758273	 stepsize= 1.000000 
-dualbound = 2199291.265076, lowerbound=1125701.265076, norm of subgrad 1061.720427	dualbound = 2199291.265076, lowerbound=1125701.265076, norm of subgrad 42.115663	 stepsize= 1.000000 
-dualbound = 2199538.796342, lowerbound=1121769.796342, norm of subgrad 1059.842345	dualbound = 2199538.796342, lowerbound=1121769.796342, norm of subgrad 41.755614	 stepsize= 1.000000 
-dualbound = 2199771.509256, lowerbound=1121818.509256, norm of subgrad 1059.880422	dualbound = 2199771.509256, lowerbound=1121818.509256, norm of subgrad 41.960850	 stepsize= 1.000000 
-dualbound = 2199996.431887, lowerbound=1123519.431887, norm of subgrad 1060.713643	dualbound = 2199996.431887, lowerbound=1123519.431887, norm of subgrad 42.648829	 stepsize= 1.000000 
-dualbound = 2200242.090301, lowerbound=1126138.090301, norm of subgrad 1061.891280	dualbound = 2200242.090301, lowerbound=1126138.090301, norm of subgrad 41.480820	 stepsize= 1.000000 
-dualbound = 2200489.645476, lowerbound=1123599.645476, norm of subgrad 1060.721285	dualbound = 2200489.645476, lowerbound=1123599.645476, norm of subgrad 42.161062	 stepsize= 1.000000 
-dualbound = 2200729.410890, lowerbound=1128002.410890, norm of subgrad 1062.791800	dualbound = 2200729.410890, lowerbound=1128002.410890, norm of subgrad 41.997207	 stepsize= 1.000000 
-dualbound = 2200955.381905, lowerbound=1120533.381905, norm of subgrad 1059.309389	dualbound = 2200955.381905, lowerbound=1120533.381905, norm of subgrad 42.766471	 stepsize= 1.000000 
-dualbound = 2201175.365915, lowerbound=1124167.365915, norm of subgrad 1060.986977	dualbound = 2201175.365915, lowerbound=1124167.365915, norm of subgrad 41.784973	 stepsize= 1.000000 
-dualbound = 2201453.522330, lowerbound=1121187.522330, norm of subgrad 1059.570442	dualbound = 2201453.522330, lowerbound=1121187.522330, norm of subgrad 42.191900	 stepsize= 1.000000 
-dualbound = 2201702.313904, lowerbound=1123194.313904, norm of subgrad 1060.513231	dualbound = 2201702.313904, lowerbound=1123194.313904, norm of subgrad 41.746755	 stepsize= 1.000000 
-dualbound = 2201932.465624, lowerbound=1124491.465624, norm of subgrad 1061.154779	dualbound = 2201932.465624, lowerbound=1124491.465624, norm of subgrad 42.286543	 stepsize= 1.000000 
-dualbound = 2202136.269088, lowerbound=1121854.269088, norm of subgrad 1059.927955	dualbound = 2202136.269088, lowerbound=1121854.269088, norm of subgrad 42.388719	 stepsize= 1.000000 
-dualbound = 2202388.542143, lowerbound=1124361.542143, norm of subgrad 1061.060574	dualbound = 2202388.542143, lowerbound=1124361.542143, norm of subgrad 41.716580	 stepsize= 1.000000 
-dualbound = 2202657.156001, lowerbound=1121508.156001, norm of subgrad 1059.742495	dualbound = 2202657.156001, lowerbound=1121508.156001, norm of subgrad 42.598285	 stepsize= 1.000000 
-dualbound = 2202860.577942, lowerbound=1128337.577941, norm of subgrad 1062.961231	dualbound = 2202860.577942, lowerbound=1128337.577941, norm of subgrad 41.861939	 stepsize= 1.000000 
-dualbound = 2203108.516735, lowerbound=1125029.516735, norm of subgrad 1061.416750	dualbound = 2203108.516735, lowerbound=1125029.516735, norm of subgrad 42.707596	 stepsize= 1.000000 
-dualbound = 2203338.801119, lowerbound=1124474.801119, norm of subgrad 1061.104048	dualbound = 2203338.801119, lowerbound=1124474.801119, norm of subgrad 41.198111	 stepsize= 1.000000 
-dualbound = 2203584.042536, lowerbound=1123084.042536, norm of subgrad 1060.452754	dualbound = 2203584.042536, lowerbound=1123084.042536, norm of subgrad 41.487847	 stepsize= 1.000000 
-dualbound = 2203824.964341, lowerbound=1123187.964341, norm of subgrad 1060.489021	dualbound = 2203824.964341, lowerbound=1123187.964341, norm of subgrad 41.108659	 stepsize= 1.000000 
-dualbound = 2204076.366927, lowerbound=1123737.366927, norm of subgrad 1060.779132	dualbound = 2204076.366927, lowerbound=1123737.366927, norm of subgrad 42.028592	 stepsize= 1.000000 
-dualbound = 2204263.617766, lowerbound=1122686.617766, norm of subgrad 1060.296476	dualbound = 2204263.617766, lowerbound=1122686.617766, norm of subgrad 41.584262	 stepsize= 1.000000 
-dualbound = 2204517.998215, lowerbound=1123485.998215, norm of subgrad 1060.644614	dualbound = 2204517.998215, lowerbound=1123485.998215, norm of subgrad 41.657898	 stepsize= 1.000000 
-dualbound = 2204751.148776, lowerbound=1125565.148776, norm of subgrad 1061.663859	dualbound = 2204751.148776, lowerbound=1125565.148776, norm of subgrad 42.404605	 stepsize= 1.000000 
-dualbound = 2204975.609582, lowerbound=1123113.609582, norm of subgrad 1060.492154	dualbound = 2204975.609582, lowerbound=1123113.609582, norm of subgrad 41.886284	 stepsize= 1.000000 
-dualbound = 2205229.836851, lowerbound=1126922.836851, norm of subgrad 1062.272487	dualbound = 2205229.836851, lowerbound=1126922.836851, norm of subgrad 41.883496	 stepsize= 1.000000 
-dualbound = 2205481.098114, lowerbound=1126332.098114, norm of subgrad 1062.018878	dualbound = 2205481.098114, lowerbound=1126332.098114, norm of subgrad 42.464824	 stepsize= 1.000000 
-dualbound = 2205695.044425, lowerbound=1121534.044425, norm of subgrad 1059.745273	dualbound = 2205695.044425, lowerbound=1121534.044425, norm of subgrad 41.712664	 stepsize= 1.000000 
-dualbound = 2205948.011375, lowerbound=1126711.011375, norm of subgrad 1062.167130	dualbound = 2205948.011375, lowerbound=1126711.011375, norm of subgrad 41.724896	 stepsize= 1.000000 
-dualbound = 2206173.211482, lowerbound=1124492.211482, norm of subgrad 1061.125446	dualbound = 2206173.211482, lowerbound=1124492.211482, norm of subgrad 41.475295	 stepsize= 1.000000 
-dualbound = 2206428.893064, lowerbound=1123974.893064, norm of subgrad 1060.875531	dualbound = 2206428.893064, lowerbound=1123974.893064, norm of subgrad 41.685508	 stepsize= 1.000000 
-dualbound = 2206658.383166, lowerbound=1124816.383166, norm of subgrad 1061.273472	dualbound = 2206658.383166, lowerbound=1124816.383166, norm of subgrad 41.406402	 stepsize= 1.000000 
-dualbound = 2206893.849985, lowerbound=1121519.849985, norm of subgrad 1059.733858	dualbound = 2206893.849985, lowerbound=1121519.849985, norm of subgrad 41.850529	 stepsize= 1.000000 
-dualbound = 2207100.191032, lowerbound=1128902.191032, norm of subgrad 1063.224901	dualbound = 2207100.191032, lowerbound=1128902.191032, norm of subgrad 41.849027	 stepsize= 1.000000 
-dualbound = 2207354.753329, lowerbound=1123624.753329, norm of subgrad 1060.742548	dualbound = 2207354.753329, lowerbound=1123624.753329, norm of subgrad 42.480140	 stepsize= 1.000000 
-dualbound = 2207562.856472, lowerbound=1124665.856472, norm of subgrad 1061.213389	dualbound = 2207562.856472, lowerbound=1124665.856472, norm of subgrad 41.425875	 stepsize= 1.000000 
-dualbound = 2207817.488128, lowerbound=1127360.488128, norm of subgrad 1062.489288	dualbound = 2207817.488128, lowerbound=1127360.488128, norm of subgrad 42.161969	 stepsize= 1.000000 
-dualbound = 2208052.998735, lowerbound=1123041.998735, norm of subgrad 1060.456976	dualbound = 2208052.998735, lowerbound=1123041.998735, norm of subgrad 41.982265	 stepsize= 1.000000 
-dualbound = 2208286.857198, lowerbound=1124497.857198, norm of subgrad 1061.131404	dualbound = 2208286.857198, lowerbound=1124497.857198, norm of subgrad 41.663635	 stepsize= 1.000000 
-dualbound = 2208543.901102, lowerbound=1123472.901102, norm of subgrad 1060.650226	dualbound = 2208543.901102, lowerbound=1123472.901102, norm of subgrad 41.988616	 stepsize= 1.000000 
-dualbound = 2208750.798423, lowerbound=1125045.798423, norm of subgrad 1061.389089	dualbound = 2208750.798423, lowerbound=1125045.798423, norm of subgrad 41.326714	 stepsize= 1.000000 
-dualbound = 2208992.942202, lowerbound=1125922.942202, norm of subgrad 1061.832351	dualbound = 2208992.942202, lowerbound=1125922.942202, norm of subgrad 42.510514	 stepsize= 1.000000 
-dualbound = 2209227.265887, lowerbound=1123513.265887, norm of subgrad 1060.673025	dualbound = 2209227.265887, lowerbound=1123513.265887, norm of subgrad 41.812961	 stepsize= 1.000000 
-dualbound = 2209472.942375, lowerbound=1126109.942375, norm of subgrad 1061.878968	dualbound = 2209472.942375, lowerbound=1126109.942375, norm of subgrad 41.505138	 stepsize= 1.000000 
-dualbound = 2209723.118045, lowerbound=1123195.118045, norm of subgrad 1060.514553	dualbound = 2209723.118045, lowerbound=1123195.118045, norm of subgrad 41.787267	 stepsize= 1.000000 
-dualbound = 2209917.038171, lowerbound=1125580.038171, norm of subgrad 1061.633665	dualbound = 2209917.038171, lowerbound=1125580.038171, norm of subgrad 40.986829	 stepsize= 1.000000 
-dualbound = 2210200.726830, lowerbound=1121442.726830, norm of subgrad 1059.707850	dualbound = 2210200.726830, lowerbound=1121442.726830, norm of subgrad 42.681245	 stepsize= 1.000000 
-dualbound = 2210403.004618, lowerbound=1129241.004618, norm of subgrad 1063.364474	dualbound = 2210403.004618, lowerbound=1129241.004618, norm of subgrad 41.295009	 stepsize= 1.000000 
-dualbound = 2210652.420950, lowerbound=1122777.420950, norm of subgrad 1060.323734	dualbound = 2210652.420950, lowerbound=1122777.420950, norm of subgrad 41.933475	 stepsize= 1.000000 
-dualbound = 2210886.376342, lowerbound=1122933.376342, norm of subgrad 1060.382184	dualbound = 2210886.376342, lowerbound=1122933.376342, norm of subgrad 41.363697	 stepsize= 1.000000 
-dualbound = 2211133.573192, lowerbound=1128486.573192, norm of subgrad 1062.995096	dualbound = 2211133.573192, lowerbound=1128486.573192, norm of subgrad 41.463199	 stepsize= 1.000000 
-dualbound = 2211359.013415, lowerbound=1122364.013415, norm of subgrad 1060.144336	dualbound = 2211359.013415, lowerbound=1122364.013415, norm of subgrad 42.040935	 stepsize= 1.000000 
-dualbound = 2211565.320973, lowerbound=1125905.320973, norm of subgrad 1061.816519	dualbound = 2211565.320973, lowerbound=1125905.320973, norm of subgrad 41.896391	 stepsize= 1.000000 
-dualbound = 2211802.208985, lowerbound=1125519.208985, norm of subgrad 1061.645048	dualbound = 2211802.208985, lowerbound=1125519.208985, norm of subgrad 42.519266	 stepsize= 1.000000 
-dualbound = 2212034.816829, lowerbound=1128429.816829, norm of subgrad 1063.023902	dualbound = 2212034.816829, lowerbound=1128429.816829, norm of subgrad 42.692011	 stepsize= 1.000000 
-dualbound = 2212262.077145, lowerbound=1122157.077145, norm of subgrad 1060.071732	dualbound = 2212262.077145, lowerbound=1122157.077145, norm of subgrad 42.687941	 stepsize= 1.000000 
-dualbound = 2212495.204906, lowerbound=1122448.204906, norm of subgrad 1060.182628	dualbound = 2212495.204906, lowerbound=1122448.204906, norm of subgrad 42.096648	 stepsize= 1.000000 
-dualbound = 2212734.949360, lowerbound=1128244.949359, norm of subgrad 1062.918600	dualbound = 2212734.949360, lowerbound=1128244.949359, norm of subgrad 42.317189	 stepsize= 1.000000 
-dualbound = 2212980.810245, lowerbound=1125140.810245, norm of subgrad 1061.440912	dualbound = 2212980.810245, lowerbound=1125140.810245, norm of subgrad 41.974527	 stepsize= 1.000000 
-dualbound = 2213224.209438, lowerbound=1127146.209438, norm of subgrad 1062.396917	dualbound = 2213224.209438, lowerbound=1127146.209438, norm of subgrad 42.242149	 stepsize= 1.000000 
-dualbound = 2213453.548237, lowerbound=1126387.548237, norm of subgrad 1062.054400	dualbound = 2213453.548237, lowerbound=1126387.548237, norm of subgrad 42.442182	 stepsize= 1.000000 
-dualbound = 2213675.092965, lowerbound=1125604.092965, norm of subgrad 1061.670897	dualbound = 2213675.092965, lowerbound=1125604.092965, norm of subgrad 41.982672	 stepsize= 1.000000 
-dualbound = 2213898.134627, lowerbound=1125976.134627, norm of subgrad 1061.845156	dualbound = 2213898.134627, lowerbound=1125976.134627, norm of subgrad 41.976680	 stepsize= 1.000000 
-dualbound = 2214148.442266, lowerbound=1120675.442266, norm of subgrad 1059.330658	dualbound = 2214148.442266, lowerbound=1120675.442266, norm of subgrad 41.908324	 stepsize= 1.000000 
-dualbound = 2214394.633433, lowerbound=1127006.633433, norm of subgrad 1062.341110	dualbound = 2214394.633433, lowerbound=1127006.633433, norm of subgrad 42.522831	 stepsize= 1.000000 
-dualbound = 2214603.635315, lowerbound=1125752.635315, norm of subgrad 1061.721543	dualbound = 2214603.635315, lowerbound=1125752.635315, norm of subgrad 41.340076	 stepsize= 1.000000 
-dualbound = 2214877.829416, lowerbound=1129227.829416, norm of subgrad 1063.369094	dualbound = 2214877.829416, lowerbound=1129227.829416, norm of subgrad 42.428694	 stepsize= 1.000000 
-dualbound = 2215072.685319, lowerbound=1127757.685319, norm of subgrad 1062.687012	dualbound = 2215072.685319, lowerbound=1127757.685319, norm of subgrad 41.723565	 stepsize= 1.000000 
-dualbound = 2215314.856457, lowerbound=1124801.856457, norm of subgrad 1061.299607	dualbound = 2215314.856457, lowerbound=1124801.856457, norm of subgrad 42.393055	 stepsize= 1.000000 
-dualbound = 2215551.941702, lowerbound=1125964.941702, norm of subgrad 1061.816341	dualbound = 2215551.941702, lowerbound=1125964.941702, norm of subgrad 41.546182	 stepsize= 1.000000 
-dualbound = 2215793.352150, lowerbound=1122143.352150, norm of subgrad 1060.018562	dualbound = 2215793.352150, lowerbound=1122143.352150, norm of subgrad 41.682256	 stepsize= 1.000000 
-dualbound = 2216021.047517, lowerbound=1126066.047517, norm of subgrad 1061.881372	dualbound = 2216021.047517, lowerbound=1126066.047517, norm of subgrad 41.877146	 stepsize= 1.000000 
-dualbound = 2216251.248753, lowerbound=1126458.248753, norm of subgrad 1062.087213	dualbound = 2216251.248753, lowerbound=1126458.248753, norm of subgrad 42.440561	 stepsize= 1.000000 
-dualbound = 2216450.737925, lowerbound=1127310.737925, norm of subgrad 1062.502583	dualbound = 2216450.737925, lowerbound=1127310.737925, norm of subgrad 42.432171	 stepsize= 1.000000 
-dualbound = 2216688.884849, lowerbound=1126146.884849, norm of subgrad 1061.947685	dualbound = 2216688.884849, lowerbound=1126146.884849, norm of subgrad 42.710033	 stepsize= 1.000000 
-dualbound = 2216955.113375, lowerbound=1122236.113375, norm of subgrad 1060.096276	dualbound = 2216955.113375, lowerbound=1122236.113375, norm of subgrad 42.827894	 stepsize= 1.000000 
-dualbound = 2217172.681286, lowerbound=1131689.681286, norm of subgrad 1064.535899	dualbound = 2217172.681286, lowerbound=1131689.681286, norm of subgrad 42.006760	 stepsize= 1.000000 
-dualbound = 2217410.518300, lowerbound=1123393.518300, norm of subgrad 1060.667016	dualbound = 2217410.518300, lowerbound=1123393.518300, norm of subgrad 43.114232	 stepsize= 1.000000 
-dualbound = 2217647.002163, lowerbound=1125198.002163, norm of subgrad 1061.481042	dualbound = 2217647.002163, lowerbound=1125198.002163, norm of subgrad 42.195780	 stepsize= 1.000000 
-dualbound = 2217910.018403, lowerbound=1125805.018403, norm of subgrad 1061.710892	dualbound = 2217910.018403, lowerbound=1125805.018403, norm of subgrad 41.085475	 stepsize= 1.000000 
-dualbound = 2218149.127508, lowerbound=1124802.127508, norm of subgrad 1061.243670	dualbound = 2218149.127508, lowerbound=1124802.127508, norm of subgrad 40.928097	 stepsize= 1.000000 
-dualbound = 2218388.784782, lowerbound=1128352.784782, norm of subgrad 1062.955683	dualbound = 2218388.784782, lowerbound=1128352.784782, norm of subgrad 41.972101	 stepsize= 1.000000 
-dualbound = 2218562.024083, lowerbound=1126529.024083, norm of subgrad 1062.134184	dualbound = 2218562.024083, lowerbound=1126529.024083, norm of subgrad 42.109848	 stepsize= 1.000000 
-dualbound = 2218813.133693, lowerbound=1126667.133693, norm of subgrad 1062.196372	dualbound = 2218813.133693, lowerbound=1126667.133693, norm of subgrad 42.954739	 stepsize= 1.000000 
-dualbound = 2219027.805295, lowerbound=1127229.805295, norm of subgrad 1062.466378	dualbound = 2219027.805295, lowerbound=1127229.805295, norm of subgrad 42.657609	 stepsize= 1.000000 
-dualbound = 2219256.953585, lowerbound=1124299.953585, norm of subgrad 1061.017414	dualbound = 2219256.953585, lowerbound=1124299.953585, norm of subgrad 41.074911	 stepsize= 1.000000 
-dualbound = 2219552.355960, lowerbound=1125334.355960, norm of subgrad 1061.526898	dualbound = 2219552.355960, lowerbound=1125334.355960, norm of subgrad 42.431149	 stepsize= 1.000000 
-dualbound = 2219752.794472, lowerbound=1124271.794472, norm of subgrad 1061.014512	dualbound = 2219752.794472, lowerbound=1124271.794472, norm of subgrad 40.993152	 stepsize= 1.000000 
-dualbound = 2220004.562466, lowerbound=1125478.562466, norm of subgrad 1061.603298	dualbound = 2220004.562466, lowerbound=1125478.562466, norm of subgrad 42.127995	 stepsize= 1.000000 
-dualbound = 2220232.128716, lowerbound=1130890.128716, norm of subgrad 1064.163582	dualbound = 2220232.128716, lowerbound=1130890.128716, norm of subgrad 42.208604	 stepsize= 1.000000 
-dualbound = 2220472.018910, lowerbound=1121662.018910, norm of subgrad 1059.776400	dualbound = 2220472.018910, lowerbound=1121662.018910, norm of subgrad 41.278205	 stepsize= 1.000000 
-dualbound = 2220686.920543, lowerbound=1125934.920543, norm of subgrad 1061.817273	dualbound = 2220686.920543, lowerbound=1125934.920543, norm of subgrad 41.664153	 stepsize= 1.000000 
-dualbound = 2220909.275843, lowerbound=1126494.275843, norm of subgrad 1062.052859	dualbound = 2220909.275843, lowerbound=1126494.275843, norm of subgrad 41.040898	 stepsize= 1.000000 
-dualbound = 2221156.734264, lowerbound=1128218.734264, norm of subgrad 1062.913324	dualbound = 2221156.734264, lowerbound=1128218.734264, norm of subgrad 42.584721	 stepsize= 1.000000 
-dualbound = 2221370.513875, lowerbound=1127419.513875, norm of subgrad 1062.521771	dualbound = 2221370.513875, lowerbound=1127419.513875, norm of subgrad 41.794493	 stepsize= 1.000000 
-dualbound = 2221617.182942, lowerbound=1130024.182942, norm of subgrad 1063.741126	dualbound = 2221617.182942, lowerbound=1130024.182942, norm of subgrad 42.043657	 stepsize= 1.000000 
-dualbound = 2221831.505768, lowerbound=1125188.505768, norm of subgrad 1061.476098	dualbound = 2221831.505768, lowerbound=1125188.505768, norm of subgrad 41.920434	 stepsize= 1.000000 
-dualbound = 2222062.298170, lowerbound=1126787.298170, norm of subgrad 1062.235048	dualbound = 2222062.298170, lowerbound=1126787.298170, norm of subgrad 42.270467	 stepsize= 1.000000 
-dualbound = 2222303.919700, lowerbound=1122847.919700, norm of subgrad 1060.367823	dualbound = 2222303.919700, lowerbound=1122847.919700, norm of subgrad 42.114386	 stepsize= 1.000000 
-dualbound = 2222532.276588, lowerbound=1134233.276588, norm of subgrad 1065.713975	dualbound = 2222532.276588, lowerbound=1134233.276588, norm of subgrad 41.729569	 stepsize= 1.000000 
-dualbound = 2222760.199645, lowerbound=1122382.199645, norm of subgrad 1060.146782	dualbound = 2222760.199645, lowerbound=1122382.199645, norm of subgrad 41.915666	 stepsize= 1.000000 
-dualbound = 2222991.624783, lowerbound=1129269.624783, norm of subgrad 1063.382163	dualbound = 2222991.624783, lowerbound=1129269.624783, norm of subgrad 41.754343	 stepsize= 1.000000 
-dualbound = 2223228.820963, lowerbound=1126758.820963, norm of subgrad 1062.202815	dualbound = 2223228.820963, lowerbound=1126758.820963, norm of subgrad 41.871186	 stepsize= 1.000000 
-dualbound = 2223462.463201, lowerbound=1129525.463201, norm of subgrad 1063.518906	dualbound = 2223462.463201, lowerbound=1129525.463201, norm of subgrad 42.197657	 stepsize= 1.000000 
-dualbound = 2223685.376002, lowerbound=1121547.376002, norm of subgrad 1059.745430	dualbound = 2223685.376002, lowerbound=1121547.376002, norm of subgrad 41.664287	 stepsize= 1.000000 
-dualbound = 2223927.736335, lowerbound=1127672.736335, norm of subgrad 1062.615517	dualbound = 2223927.736335, lowerbound=1127672.736335, norm of subgrad 41.489280	 stepsize= 1.000000 
-dualbound = 2224175.449965, lowerbound=1127109.449965, norm of subgrad 1062.365497	dualbound = 2224175.449965, lowerbound=1127109.449965, norm of subgrad 41.937020	 stepsize= 1.000000 
-dualbound = 2224384.698694, lowerbound=1126103.698694, norm of subgrad 1061.937239	dualbound = 2224384.698694, lowerbound=1126103.698694, norm of subgrad 42.617470	 stepsize= 1.000000 
-dualbound = 2224606.498086, lowerbound=1129754.498086, norm of subgrad 1063.619527	dualbound = 2224606.498086, lowerbound=1129754.498086, norm of subgrad 41.878388	 stepsize= 1.000000 
-dualbound = 2224851.095737, lowerbound=1129319.095737, norm of subgrad 1063.411536	dualbound = 2224851.095737, lowerbound=1129319.095737, norm of subgrad 42.066586	 stepsize= 1.000000 
-dualbound = 2225075.137717, lowerbound=1124913.137717, norm of subgrad 1061.339784	dualbound = 2225075.137717, lowerbound=1124913.137717, norm of subgrad 41.869344	 stepsize= 1.000000 
-dualbound = 2225299.039193, lowerbound=1131838.039193, norm of subgrad 1064.601352	dualbound = 2225299.039193, lowerbound=1131838.039193, norm of subgrad 41.975010	 stepsize= 1.000000 
-dualbound = 2225544.940132, lowerbound=1121312.940132, norm of subgrad 1059.648970	dualbound = 2225544.940132, lowerbound=1121312.940132, norm of subgrad 42.295401	 stepsize= 1.000000 
-dualbound = 2225768.879898, lowerbound=1126159.879898, norm of subgrad 1061.943445	dualbound = 2225768.879898, lowerbound=1126159.879898, norm of subgrad 42.284037	 stepsize= 1.000000 
-dualbound = 2225998.111887, lowerbound=1129559.111887, norm of subgrad 1063.504166	dualbound = 2225998.111887, lowerbound=1129559.111887, norm of subgrad 41.367040	 stepsize= 1.000000 
-dualbound = 2226249.140443, lowerbound=1130002.140443, norm of subgrad 1063.728415	dualbound = 2226249.140443, lowerbound=1130002.140443, norm of subgrad 42.036039	 stepsize= 1.000000 
-dualbound = 2226437.821680, lowerbound=1126606.821680, norm of subgrad 1062.160921	dualbound = 2226437.821680, lowerbound=1126606.821680, norm of subgrad 42.043801	 stepsize= 1.000000 
-dualbound = 2226684.693148, lowerbound=1128547.693148, norm of subgrad 1063.049243	dualbound = 2226684.693148, lowerbound=1128547.693148, norm of subgrad 42.105480	 stepsize= 1.000000 
-dualbound = 2226919.609671, lowerbound=1124275.609671, norm of subgrad 1061.029505	dualbound = 2226919.609671, lowerbound=1124275.609671, norm of subgrad 41.748252	 stepsize= 1.000000 
-dualbound = 2227149.950525, lowerbound=1129694.950525, norm of subgrad 1063.630552	dualbound = 2227149.950525, lowerbound=1129694.950525, norm of subgrad 42.957431	 stepsize= 1.000000 
-dualbound = 2227340.207117, lowerbound=1126705.207117, norm of subgrad 1062.217119	dualbound = 2227340.207117, lowerbound=1126705.207117, norm of subgrad 42.311424	 stepsize= 1.000000 
-dualbound = 2227621.427583, lowerbound=1128387.427583, norm of subgrad 1062.938581	dualbound = 2227621.427583, lowerbound=1128387.427583, norm of subgrad 41.619953	 stepsize= 1.000000 
-dualbound = 2227887.092687, lowerbound=1120803.092687, norm of subgrad 1059.350316	dualbound = 2227887.092687, lowerbound=1120803.092687, norm of subgrad 41.056852	 stepsize= 1.000000 
-dualbound = 2228100.485853, lowerbound=1131751.485853, norm of subgrad 1064.522656	dualbound = 2228100.485853, lowerbound=1131751.485853, norm of subgrad 40.870444	 stepsize= 1.000000 
-dualbound = 2228322.590983, lowerbound=1123612.590983, norm of subgrad 1060.711832	dualbound = 2228322.590983, lowerbound=1123612.590983, norm of subgrad 41.462093	 stepsize= 1.000000 
-dualbound = 2228549.609083, lowerbound=1130830.609083, norm of subgrad 1064.109773	dualbound = 2228549.609083, lowerbound=1130830.609083, norm of subgrad 41.545374	 stepsize= 1.000000 
-dualbound = 2228768.229038, lowerbound=1128480.229038, norm of subgrad 1063.032092	dualbound = 2228768.229038, lowerbound=1128480.229038, norm of subgrad 42.138106	 stepsize= 1.000000 
-dualbound = 2228994.104558, lowerbound=1128884.104558, norm of subgrad 1063.216396	dualbound = 2228994.104558, lowerbound=1128884.104558, norm of subgrad 42.081772	 stepsize= 1.000000 
-dualbound = 2229219.562926, lowerbound=1127931.562926, norm of subgrad 1062.762703	dualbound = 2229219.562926, lowerbound=1127931.562926, norm of subgrad 41.933976	 stepsize= 1.000000 
-dualbound = 2229447.289447, lowerbound=1127282.289447, norm of subgrad 1062.482607	dualbound = 2229447.289447, lowerbound=1127282.289447, norm of subgrad 42.599607	 stepsize= 1.000000 
-dualbound = 2229683.279101, lowerbound=1128385.279101, norm of subgrad 1062.999191	dualbound = 2229683.279101, lowerbound=1128385.279101, norm of subgrad 42.637890	 stepsize= 1.000000 
-dualbound = 2229914.547477, lowerbound=1125351.547477, norm of subgrad 1061.575973	dualbound = 2229914.547477, lowerbound=1125351.547477, norm of subgrad 42.699747	 stepsize= 1.000000 
-dualbound = 2230138.511835, lowerbound=1124183.511835, norm of subgrad 1060.996471	dualbound = 2230138.511835, lowerbound=1124183.511835, norm of subgrad 41.880358	 stepsize= 1.000000 
-dualbound = 2230370.628141, lowerbound=1129732.628141, norm of subgrad 1063.592322	dualbound = 2230370.628141, lowerbound=1129732.628141, norm of subgrad 41.570618	 stepsize= 1.000000 
-dualbound = 2230621.444619, lowerbound=1122810.444619, norm of subgrad 1060.342136	dualbound = 2230621.444619, lowerbound=1122810.444619, norm of subgrad 42.021619	 stepsize= 1.000000 
-dualbound = 2230854.509435, lowerbound=1128888.509435, norm of subgrad 1063.222230	dualbound = 2230854.509435, lowerbound=1128888.509435, norm of subgrad 42.261860	 stepsize= 1.000000 
-dualbound = 2231073.636751, lowerbound=1129042.636751, norm of subgrad 1063.275899	dualbound = 2231073.636751, lowerbound=1129042.636751, norm of subgrad 41.618834	 stepsize= 1.000000 
-dualbound = 2231311.067441, lowerbound=1127470.067441, norm of subgrad 1062.546501	dualbound = 2231311.067441, lowerbound=1127470.067441, norm of subgrad 42.100246	 stepsize= 1.000000 
-dualbound = 2231542.621954, lowerbound=1128960.621954, norm of subgrad 1063.278243	dualbound = 2231542.621954, lowerbound=1128960.621954, norm of subgrad 42.796665	 stepsize= 1.000000 
-dualbound = 2231756.226063, lowerbound=1126982.226063, norm of subgrad 1062.327739	dualbound = 2231756.226063, lowerbound=1126982.226063, norm of subgrad 42.090428	 stepsize= 1.000000 
-dualbound = 2231991.759896, lowerbound=1131262.759896, norm of subgrad 1064.338649	dualbound = 2231991.759896, lowerbound=1131262.759896, norm of subgrad 42.302882	 stepsize= 1.000000 
-dualbound = 2232229.654288, lowerbound=1132293.654288, norm of subgrad 1064.806393	dualbound = 2232229.654288, lowerbound=1132293.654288, norm of subgrad 41.915324	 stepsize= 1.000000 
-dualbound = 2232458.599590, lowerbound=1121605.599590, norm of subgrad 1059.769597	dualbound = 2232458.599590, lowerbound=1121605.599590, norm of subgrad 41.652675	 stepsize= 1.000000 
-dualbound = 2232685.765599, lowerbound=1129713.765599, norm of subgrad 1063.609311	dualbound = 2232685.765599, lowerbound=1129713.765599, norm of subgrad 42.168306	 stepsize= 1.000000 
-dualbound = 2232900.844518, lowerbound=1123627.844518, norm of subgrad 1060.742120	dualbound = 2232900.844518, lowerbound=1123627.844518, norm of subgrad 41.965211	 stepsize= 1.000000 
-dualbound = 2233155.841424, lowerbound=1128513.841424, norm of subgrad 1063.007922	dualbound = 2233155.841424, lowerbound=1128513.841424, norm of subgrad 41.557152	 stepsize= 1.000000 
-dualbound = 2233355.199810, lowerbound=1130349.199810, norm of subgrad 1063.887776	dualbound = 2233355.199810, lowerbound=1130349.199810, norm of subgrad 41.320193	 stepsize= 1.000000 
-dualbound = 2233611.034549, lowerbound=1128306.034549, norm of subgrad 1062.904527	dualbound = 2233611.034549, lowerbound=1128306.034549, norm of subgrad 41.422636	 stepsize= 1.000000 
-dualbound = 2233844.769296, lowerbound=1125278.769296, norm of subgrad 1061.498832	dualbound = 2233844.769296, lowerbound=1125278.769296, norm of subgrad 41.650147	 stepsize= 1.000000 
-dualbound = 2234046.609216, lowerbound=1131591.609216, norm of subgrad 1064.518957	dualbound = 2234046.609216, lowerbound=1131591.609216, norm of subgrad 42.553965	 stepsize= 1.000000 
-dualbound = 2234290.927060, lowerbound=1128365.927060, norm of subgrad 1062.956221	dualbound = 2234290.927060, lowerbound=1128365.927060, norm of subgrad 41.884578	 stepsize= 1.000000 
-dualbound = 2234525.938699, lowerbound=1125863.938699, norm of subgrad 1061.786202	dualbound = 2234525.938699, lowerbound=1125863.938699, norm of subgrad 41.964409	 stepsize= 1.000000 
-dualbound = 2234758.171891, lowerbound=1129262.171891, norm of subgrad 1063.394645	dualbound = 2234758.171891, lowerbound=1129262.171891, norm of subgrad 42.169102	 stepsize= 1.000000 
-dualbound = 2234974.674478, lowerbound=1129758.674478, norm of subgrad 1063.594695	dualbound = 2234974.674478, lowerbound=1129758.674478, norm of subgrad 41.127881	 stepsize= 1.000000 
-dualbound = 2235231.021434, lowerbound=1128656.021434, norm of subgrad 1063.076207	dualbound = 2235231.021434, lowerbound=1128656.021434, norm of subgrad 41.609458	 stepsize= 1.000000 
-dualbound = 2235464.639254, lowerbound=1129325.639254, norm of subgrad 1063.375587	dualbound = 2235464.639254, lowerbound=1129325.639254, norm of subgrad 40.934311	 stepsize= 1.000000 
-dualbound = 2235673.196520, lowerbound=1124111.196520, norm of subgrad 1060.960035	dualbound = 2235673.196520, lowerbound=1124111.196520, norm of subgrad 41.636009	 stepsize= 1.000000 
-dualbound = 2235897.985468, lowerbound=1131126.985468, norm of subgrad 1064.243856	dualbound = 2235897.985468, lowerbound=1131126.985468, norm of subgrad 41.385854	 stepsize= 1.000000 
-dualbound = 2236133.166424, lowerbound=1127510.166424, norm of subgrad 1062.562077	dualbound = 2236133.166424, lowerbound=1127510.166424, norm of subgrad 41.990248	 stepsize= 1.000000 
-dualbound = 2236363.411583, lowerbound=1129020.411583, norm of subgrad 1063.264977	dualbound = 2236363.411583, lowerbound=1129020.411583, norm of subgrad 41.740210	 stepsize= 1.000000 
-dualbound = 2236594.604443, lowerbound=1130427.604443, norm of subgrad 1063.930263	dualbound = 2236594.604443, lowerbound=1130427.604443, norm of subgrad 41.847256	 stepsize= 1.000000 
-dualbound = 2236808.508209, lowerbound=1128304.508209, norm of subgrad 1062.926389	dualbound = 2236808.508209, lowerbound=1128304.508209, norm of subgrad 41.495828	 stepsize= 1.000000 
-dualbound = 2237075.557808, lowerbound=1129706.557808, norm of subgrad 1063.586648	dualbound = 2237075.557808, lowerbound=1129706.557808, norm of subgrad 42.155066	 stepsize= 1.000000 
-dualbound = 2237256.448972, lowerbound=1125581.448972, norm of subgrad 1061.661645	dualbound = 2237256.448972, lowerbound=1125581.448972, norm of subgrad 41.531809	 stepsize= 1.000000 
-dualbound = 2237502.178195, lowerbound=1130715.178195, norm of subgrad 1064.033448	dualbound = 2237502.178195, lowerbound=1130715.178195, norm of subgrad 41.203510	 stepsize= 1.000000 
-dualbound = 2237749.289896, lowerbound=1130770.289896, norm of subgrad 1064.076261	dualbound = 2237749.289896, lowerbound=1130770.289896, norm of subgrad 41.654672	 stepsize= 1.000000 
-dualbound = 2237956.827768, lowerbound=1126071.827768, norm of subgrad 1061.898690	dualbound = 2237956.827768, lowerbound=1126071.827768, norm of subgrad 42.006403	 stepsize= 1.000000 
-dualbound = 2238161.175088, lowerbound=1129724.175088, norm of subgrad 1063.620785	dualbound = 2238161.175088, lowerbound=1129724.175088, norm of subgrad 42.063610	 stepsize= 1.000000 
-dualbound = 2238413.117562, lowerbound=1129502.117562, norm of subgrad 1063.483012	dualbound = 2238413.117562, lowerbound=1129502.117562, norm of subgrad 41.784476	 stepsize= 1.000000 
-dualbound = 2238653.133562, lowerbound=1132727.133562, norm of subgrad 1064.974710	dualbound = 2238653.133562, lowerbound=1132727.133562, norm of subgrad 41.036764	 stepsize= 1.000000 
-dualbound = 2238887.377876, lowerbound=1124180.377876, norm of subgrad 1061.012902	dualbound = 2238887.377876, lowerbound=1124180.377876, norm of subgrad 42.452848	 stepsize= 1.000000 
-dualbound = 2239083.131963, lowerbound=1129608.131963, norm of subgrad 1063.539906	dualbound = 2239083.131963, lowerbound=1129608.131963, norm of subgrad 41.288668	 stepsize= 1.000000 
-dualbound = 2239338.608376, lowerbound=1126125.608376, norm of subgrad 1061.913183	dualbound = 2239338.608376, lowerbound=1126125.608376, norm of subgrad 42.302203	 stepsize= 1.000000 
-dualbound = 2239556.302877, lowerbound=1134460.302877, norm of subgrad 1065.792336	dualbound = 2239556.302877, lowerbound=1134460.302877, norm of subgrad 40.874130	 stepsize= 1.000000 
-dualbound = 2239809.023182, lowerbound=1127486.023182, norm of subgrad 1062.540834	dualbound = 2239809.023182, lowerbound=1127486.023182, norm of subgrad 41.949020	 stepsize= 1.000000 
-dualbound = 2240005.302369, lowerbound=1133513.302369, norm of subgrad 1065.367215	dualbound = 2240005.302369, lowerbound=1133513.302369, norm of subgrad 41.113005	 stepsize= 1.000000 
-dualbound = 2240259.353200, lowerbound=1123455.353200, norm of subgrad 1060.618854	dualbound = 2240259.353200, lowerbound=1123455.353200, norm of subgrad 41.364850	 stepsize= 1.000000 
-dualbound = 2240470.658100, lowerbound=1128982.658100, norm of subgrad 1063.242521	dualbound = 2240470.658100, lowerbound=1128982.658100, norm of subgrad 41.392087	 stepsize= 1.000000 
-dualbound = 2240693.710422, lowerbound=1125409.710422, norm of subgrad 1061.539783	dualbound = 2240693.710422, lowerbound=1125409.710422, norm of subgrad 40.988441	 stepsize= 1.000000 
-dualbound = 2240932.181826, lowerbound=1131711.181826, norm of subgrad 1064.542710	dualbound = 2240932.181826, lowerbound=1131711.181826, norm of subgrad 42.171927	 stepsize= 1.000000 
-dualbound = 2241138.999145, lowerbound=1130058.999145, norm of subgrad 1063.756081	dualbound = 2241138.999145, lowerbound=1130058.999145, norm of subgrad 41.530920	 stepsize= 1.000000 
-dualbound = 2241377.862222, lowerbound=1128447.862222, norm of subgrad 1062.986765	dualbound = 2241377.862222, lowerbound=1128447.862222, norm of subgrad 41.615659	 stepsize= 1.000000 
-dualbound = 2241613.588746, lowerbound=1127852.588746, norm of subgrad 1062.714726	dualbound = 2241613.588746, lowerbound=1127852.588746, norm of subgrad 41.781892	 stepsize= 1.000000 
-dualbound = 2241859.379053, lowerbound=1130953.379053, norm of subgrad 1064.125641	dualbound = 2241859.379053, lowerbound=1130953.379053, norm of subgrad 40.691403	 stepsize= 1.000000 
-dualbound = 2242075.395434, lowerbound=1126290.395434, norm of subgrad 1061.966758	dualbound = 2242075.395434, lowerbound=1126290.395434, norm of subgrad 41.219126	 stepsize= 1.000000 
-dualbound = 2242303.497214, lowerbound=1130785.497214, norm of subgrad 1064.096094	dualbound = 2242303.497214, lowerbound=1130785.497214, norm of subgrad 41.750470	 stepsize= 1.000000 
-dualbound = 2242518.134557, lowerbound=1135003.134557, norm of subgrad 1066.072762	dualbound = 2242518.134557, lowerbound=1135003.134557, norm of subgrad 41.504667	 stepsize= 1.000000 
-dualbound = 2242752.783970, lowerbound=1125430.783970, norm of subgrad 1061.582208	dualbound = 2242752.783970, lowerbound=1125430.783970, norm of subgrad 41.960093	 stepsize= 1.000000 
-dualbound = 2242970.874031, lowerbound=1126460.874031, norm of subgrad 1062.061144	dualbound = 2242970.874031, lowerbound=1126460.874031, norm of subgrad 41.606370	 stepsize= 1.000000 
-dualbound = 2243233.142861, lowerbound=1127966.142861, norm of subgrad 1062.730983	dualbound = 2243233.142861, lowerbound=1127966.142861, norm of subgrad 41.149348	 stepsize= 1.000000 
-dualbound = 2243448.301782, lowerbound=1127065.301782, norm of subgrad 1062.339542	dualbound = 2243448.301782, lowerbound=1127065.301782, norm of subgrad 41.414477	 stepsize= 1.000000 
-dualbound = 2243646.033522, lowerbound=1131142.033522, norm of subgrad 1064.250926	dualbound = 2243646.033522, lowerbound=1131142.033522, norm of subgrad 41.057664	 stepsize= 1.000000 
-dualbound = 2243900.944507, lowerbound=1127774.944507, norm of subgrad 1062.676783	dualbound = 2243900.944507, lowerbound=1127774.944507, norm of subgrad 41.975123	 stepsize= 1.000000 
-dualbound = 2244111.402098, lowerbound=1131383.402098, norm of subgrad 1064.379351	dualbound = 2244111.402098, lowerbound=1131383.402098, norm of subgrad 41.598769	 stepsize= 1.000000 
-dualbound = 2244333.672241, lowerbound=1127688.672241, norm of subgrad 1062.620192	dualbound = 2244333.672241, lowerbound=1127688.672241, norm of subgrad 41.173658	 stepsize= 1.000000 
-dualbound = 2244556.138558, lowerbound=1130457.138558, norm of subgrad 1063.930984	dualbound = 2244556.138558, lowerbound=1130457.138558, norm of subgrad 41.406114	 stepsize= 1.000000 
-dualbound = 2244796.123193, lowerbound=1130337.123193, norm of subgrad 1063.888210	dualbound = 2244796.123193, lowerbound=1130337.123193, norm of subgrad 41.964087	 stepsize= 1.000000 
-dualbound = 2244995.392059, lowerbound=1125328.392059, norm of subgrad 1061.556589	dualbound = 2244995.392059, lowerbound=1125328.392059, norm of subgrad 42.110199	 stepsize= 1.000000 
-dualbound = 2245235.116803, lowerbound=1132457.116803, norm of subgrad 1064.891599	dualbound = 2245235.116803, lowerbound=1132457.116803, norm of subgrad 42.151213	 stepsize= 1.000000 
-dualbound = 2245472.557784, lowerbound=1128315.557784, norm of subgrad 1062.919827	dualbound = 2245472.557784, lowerbound=1128315.557784, norm of subgrad 41.478199	 stepsize= 1.000000 
-dualbound = 2245705.373539, lowerbound=1130001.373539, norm of subgrad 1063.720064	dualbound = 2245705.373539, lowerbound=1130001.373539, norm of subgrad 41.615090	 stepsize= 1.000000 
-dualbound = 2245924.785239, lowerbound=1128010.785239, norm of subgrad 1062.776922	dualbound = 2245924.785239, lowerbound=1128010.785239, norm of subgrad 41.272408	 stepsize= 1.000000 
-dualbound = 2246134.903811, lowerbound=1131819.903811, norm of subgrad 1064.569351	dualbound = 2246134.903811, lowerbound=1131819.903811, norm of subgrad 41.208234	 stepsize= 1.000000 
-dualbound = 2246415.656045, lowerbound=1132651.656045, norm of subgrad 1064.940212	dualbound = 2246415.656045, lowerbound=1132651.656045, norm of subgrad 41.554208	 stepsize= 1.000000 
-dualbound = 2246610.724877, lowerbound=1126018.724877, norm of subgrad 1061.846846	dualbound = 2246610.724877, lowerbound=1126018.724877, norm of subgrad 41.171214	 stepsize= 1.000000 
-dualbound = 2246832.156481, lowerbound=1129926.156481, norm of subgrad 1063.704920	dualbound = 2246832.156481, lowerbound=1129926.156481, norm of subgrad 41.993233	 stepsize= 1.000000 
-dualbound = 2247043.903497, lowerbound=1129577.903497, norm of subgrad 1063.561895	dualbound = 2247043.903497, lowerbound=1129577.903497, norm of subgrad 42.399847	 stepsize= 1.000000 
-dualbound = 2247283.378049, lowerbound=1129860.378049, norm of subgrad 1063.655197	dualbound = 2247283.378049, lowerbound=1129860.378049, norm of subgrad 41.730978	 stepsize= 1.000000 
-dualbound = 2247527.725897, lowerbound=1129272.725897, norm of subgrad 1063.386913	dualbound = 2247527.725897, lowerbound=1129272.725897, norm of subgrad 41.992236	 stepsize= 1.000000 
-dualbound = 2247736.395087, lowerbound=1129732.395087, norm of subgrad 1063.625120	dualbound = 2247736.395087, lowerbound=1129732.395087, norm of subgrad 42.126823	 stepsize= 1.000000 
-dualbound = 2247964.686344, lowerbound=1130028.686344, norm of subgrad 1063.723031	dualbound = 2247964.686344, lowerbound=1130028.686344, norm of subgrad 41.307278	 stepsize= 1.000000 
-dualbound = 2248205.677620, lowerbound=1129261.677620, norm of subgrad 1063.363850	dualbound = 2248205.677620, lowerbound=1129261.677620, norm of subgrad 41.496883	 stepsize= 1.000000 
-dualbound = 2248425.071308, lowerbound=1128186.071308, norm of subgrad 1062.854210	dualbound = 2248425.071308, lowerbound=1128186.071308, norm of subgrad 41.138713	 stepsize= 1.000000 
-dualbound = 2248662.912793, lowerbound=1128671.912793, norm of subgrad 1063.071923	dualbound = 2248662.912793, lowerbound=1128671.912793, norm of subgrad 41.083348	 stepsize= 1.000000 
-dualbound = 2248879.328075, lowerbound=1131401.328075, norm of subgrad 1064.390120	dualbound = 2248879.328075, lowerbound=1131401.328075, norm of subgrad 41.730268	 stepsize= 1.000000 
-dualbound = 2249096.013653, lowerbound=1130334.013653, norm of subgrad 1063.891918	dualbound = 2249096.013653, lowerbound=1130334.013653, norm of subgrad 41.817288	 stepsize= 1.000000 
-dualbound = 2249336.405233, lowerbound=1128665.405233, norm of subgrad 1063.097082	dualbound = 2249336.405233, lowerbound=1128665.405233, norm of subgrad 41.837681	 stepsize= 1.000000 
-dualbound = 2249531.646459, lowerbound=1128722.646459, norm of subgrad 1063.147519	dualbound = 2249531.646459, lowerbound=1128722.646459, norm of subgrad 41.895599	 stepsize= 1.000000 
-dualbound = 2249792.346825, lowerbound=1133007.346825, norm of subgrad 1065.128794	dualbound = 2249792.346825, lowerbound=1133007.346825, norm of subgrad 41.865264	 stepsize= 1.000000 
-dualbound = 2250015.482957, lowerbound=1130496.482957, norm of subgrad 1063.952294	dualbound = 2250015.482957, lowerbound=1130496.482957, norm of subgrad 41.486578	 stepsize= 1.000000 
-dualbound = 2250219.912855, lowerbound=1130063.912855, norm of subgrad 1063.784242	dualbound = 2250219.912855, lowerbound=1130063.912855, norm of subgrad 42.159577	 stepsize= 1.000000 
-dualbound = 2250452.740547, lowerbound=1130418.740547, norm of subgrad 1063.925627	dualbound = 2250452.740547, lowerbound=1130418.740547, norm of subgrad 41.854841	 stepsize= 1.000000 
-dualbound = 2250662.157393, lowerbound=1129666.157393, norm of subgrad 1063.566245	dualbound = 2250662.157393, lowerbound=1129666.157393, norm of subgrad 41.429661	 stepsize= 1.000000 
-dualbound = 2250911.046376, lowerbound=1127371.046376, norm of subgrad 1062.493787	dualbound = 2250911.046376, lowerbound=1127371.046376, norm of subgrad 42.081932	 stepsize= 1.000000 
-dualbound = 2251144.662975, lowerbound=1131238.662975, norm of subgrad 1064.287397	dualbound = 2251144.662975, lowerbound=1131238.662975, norm of subgrad 41.262775	 stepsize= 1.000000 
-dualbound = 2251385.774599, lowerbound=1127188.774599, norm of subgrad 1062.353884	dualbound = 2251385.774599, lowerbound=1127188.774599, norm of subgrad 40.596941	 stepsize= 1.000000 
-dualbound = 2251594.247103, lowerbound=1131335.247103, norm of subgrad 1064.348743	dualbound = 2251594.247103, lowerbound=1131335.247103, norm of subgrad 41.369947	 stepsize= 1.000000 
-dualbound = 2251813.616140, lowerbound=1134033.616140, norm of subgrad 1065.604812	dualbound = 2251813.616140, lowerbound=1134033.616140, norm of subgrad 41.223404	 stepsize= 1.000000 
-dualbound = 2252040.957564, lowerbound=1125153.957564, norm of subgrad 1061.428734	dualbound = 2252040.957564, lowerbound=1125153.957564, norm of subgrad 41.283670	 stepsize= 1.000000 
-dualbound = 2252262.358963, lowerbound=1132356.358963, norm of subgrad 1064.810011	dualbound = 2252262.358963, lowerbound=1132356.358963, norm of subgrad 41.053641	 stepsize= 1.000000 
-dualbound = 2252509.862761, lowerbound=1126716.862761, norm of subgrad 1062.155762	dualbound = 2252509.862761, lowerbound=1126716.862761, norm of subgrad 41.297746	 stepsize= 1.000000 
-dualbound = 2252718.451947, lowerbound=1133818.451947, norm of subgrad 1065.538104	dualbound = 2252718.451947, lowerbound=1133818.451947, norm of subgrad 41.971290	 stepsize= 1.000000 
-dualbound = 2252933.135358, lowerbound=1129657.135358, norm of subgrad 1063.571876	dualbound = 2252933.135358, lowerbound=1129657.135358, norm of subgrad 41.745460	 stepsize= 1.000000 
-dualbound = 2253166.818628, lowerbound=1129838.818628, norm of subgrad 1063.685019	dualbound = 2253166.818628, lowerbound=1129838.818628, norm of subgrad 42.669465	 stepsize= 1.000000 
-dualbound = 2253366.866728, lowerbound=1126535.866728, norm of subgrad 1062.128931	dualbound = 2253366.866728, lowerbound=1126535.866728, norm of subgrad 42.214312	 stepsize= 1.000000 
-dualbound = 2253627.158047, lowerbound=1130802.158047, norm of subgrad 1064.103453	dualbound = 2253627.158047, lowerbound=1130802.158047, norm of subgrad 42.122338	 stepsize= 1.000000 
-dualbound = 2253837.203716, lowerbound=1128161.203716, norm of subgrad 1062.880616	dualbound = 2253837.203716, lowerbound=1128161.203716, norm of subgrad 42.000544	 stepsize= 1.000000 
-dualbound = 2254065.305238, lowerbound=1131572.305238, norm of subgrad 1064.452585	dualbound = 2254065.305238, lowerbound=1131572.305238, norm of subgrad 41.413784	 stepsize= 1.000000 
-dualbound = 2254304.232634, lowerbound=1128456.232634, norm of subgrad 1062.986469	dualbound = 2254304.232634, lowerbound=1128456.232634, norm of subgrad 41.508161	 stepsize= 1.000000 
-dualbound = 2254528.230572, lowerbound=1133295.230572, norm of subgrad 1065.246089	dualbound = 2254528.230572, lowerbound=1133295.230572, norm of subgrad 40.963373	 stepsize= 1.000000 
-dualbound = 2254749.119819, lowerbound=1132411.119819, norm of subgrad 1064.802855	dualbound = 2254749.119819, lowerbound=1132411.119819, norm of subgrad 40.185685	 stepsize= 1.000000 
-dualbound = 2255013.353719, lowerbound=1130311.353719, norm of subgrad 1063.843200	dualbound = 2255013.353719, lowerbound=1130311.353719, norm of subgrad 41.415382	 stepsize= 1.000000 
-dualbound = 2255195.619985, lowerbound=1128890.619985, norm of subgrad 1063.198768	dualbound = 2255195.619985, lowerbound=1128890.619985, norm of subgrad 41.027628	 stepsize= 1.000000 
-dualbound = 2255433.993071, lowerbound=1130231.993071, norm of subgrad 1063.833630	dualbound = 2255433.993071, lowerbound=1130231.993071, norm of subgrad 41.813551	 stepsize= 1.000000 
-dualbound = 2255648.395926, lowerbound=1130115.395926, norm of subgrad 1063.759557	dualbound = 2255648.395926, lowerbound=1130115.395926, norm of subgrad 41.029293	 stepsize= 1.000000 
-dualbound = 2255888.856097, lowerbound=1135465.856097, norm of subgrad 1066.280383	dualbound = 2255888.856097, lowerbound=1135465.856097, norm of subgrad 41.574754	 stepsize= 1.000000 
-dualbound = 2256114.334120, lowerbound=1129047.334120, norm of subgrad 1063.253184	dualbound = 2256114.334120, lowerbound=1129047.334120, norm of subgrad 41.054574	 stepsize= 1.000000 
-dualbound = 2256346.188965, lowerbound=1129366.188965, norm of subgrad 1063.423335	dualbound = 2256346.188965, lowerbound=1129366.188965, norm of subgrad 41.651589	 stepsize= 1.000000 
-dualbound = 2256555.852068, lowerbound=1129861.852068, norm of subgrad 1063.662471	dualbound = 2256555.852068, lowerbound=1129861.852068, norm of subgrad 41.541101	 stepsize= 1.000000 
-dualbound = 2256783.621425, lowerbound=1128456.621425, norm of subgrad 1063.009700	dualbound = 2256783.621425, lowerbound=1128456.621425, norm of subgrad 41.961522	 stepsize= 1.000000 
-dualbound = 2257010.833073, lowerbound=1132770.833073, norm of subgrad 1065.039827	dualbound = 2257010.833073, lowerbound=1132770.833073, norm of subgrad 42.026321	 stepsize= 1.000000 
-dualbound = 2257215.381659, lowerbound=1134143.381659, norm of subgrad 1065.688220	dualbound = 2257215.381659, lowerbound=1134143.381659, norm of subgrad 41.863452	 stepsize= 1.000000 
-dualbound = 2257443.209429, lowerbound=1129929.209429, norm of subgrad 1063.701184	dualbound = 2257443.209429, lowerbound=1129929.209429, norm of subgrad 41.938381	 stepsize= 1.000000 
-dualbound = 2257679.914693, lowerbound=1131669.914693, norm of subgrad 1064.514403	dualbound = 2257679.914693, lowerbound=1131669.914693, norm of subgrad 41.924996	 stepsize= 1.000000 
-dualbound = 2257905.049075, lowerbound=1130524.049075, norm of subgrad 1063.924362	dualbound = 2257905.049075, lowerbound=1130524.049075, norm of subgrad 40.449158	 stepsize= 1.000000 
-dualbound = 2258176.730335, lowerbound=1128283.730335, norm of subgrad 1062.871455	dualbound = 2258176.730335, lowerbound=1128283.730335, norm of subgrad 41.032685	 stepsize= 1.000000 
-dualbound = 2258364.108534, lowerbound=1132870.108534, norm of subgrad 1065.060143	dualbound = 2258364.108534, lowerbound=1132870.108534, norm of subgrad 40.870261	 stepsize= 1.000000 
-dualbound = 2258586.701531, lowerbound=1130383.701531, norm of subgrad 1063.893651	dualbound = 2258586.701531, lowerbound=1130383.701531, norm of subgrad 41.335130	 stepsize= 1.000000 
-dualbound = 2258810.457995, lowerbound=1127925.457995, norm of subgrad 1062.753244	dualbound = 2258810.457995, lowerbound=1127925.457995, norm of subgrad 41.746335	 stepsize= 1.000000 
-dualbound = 2259012.771898, lowerbound=1130669.771898, norm of subgrad 1064.037016	dualbound = 2259012.771898, lowerbound=1130669.771898, norm of subgrad 41.319655	 stepsize= 1.000000 
-dualbound = 2259260.192536, lowerbound=1132761.192536, norm of subgrad 1065.028729	dualbound = 2259260.192536, lowerbound=1132761.192536, norm of subgrad 42.100126	 stepsize= 1.000000 
-dualbound = 2259494.887867, lowerbound=1135773.887867, norm of subgrad 1066.395746	dualbound = 2259494.887867, lowerbound=1135773.887867, norm of subgrad 40.751630	 stepsize= 1.000000 
-dualbound = 2259714.167956, lowerbound=1128915.167956, norm of subgrad 1063.222539	dualbound = 2259714.167956, lowerbound=1128915.167956, norm of subgrad 41.788516	 stepsize= 1.000000 
-dualbound = 2259912.903707, lowerbound=1129155.903707, norm of subgrad 1063.342797	dualbound = 2259912.903707, lowerbound=1129155.903707, norm of subgrad 41.722125	 stepsize= 1.000000 
-dualbound = 2260146.941941, lowerbound=1128892.941941, norm of subgrad 1063.198919	dualbound = 2260146.941941, lowerbound=1128892.941941, norm of subgrad 41.629776	 stepsize= 1.000000 
-dualbound = 2260372.868556, lowerbound=1130937.868556, norm of subgrad 1064.142786	dualbound = 2260372.868556, lowerbound=1130937.868556, norm of subgrad 41.084384	 stepsize= 1.000000 
-dualbound = 2260585.954849, lowerbound=1132156.954849, norm of subgrad 1064.726235	dualbound = 2260585.954849, lowerbound=1132156.954849, norm of subgrad 41.207843	 stepsize= 1.000000 
-dualbound = 2260810.365418, lowerbound=1129501.365418, norm of subgrad 1063.464793	dualbound = 2260810.365418, lowerbound=1129501.365418, norm of subgrad 40.992811	 stepsize= 1.000000 
-dualbound = 2261071.628845, lowerbound=1131940.628845, norm of subgrad 1064.597402	dualbound = 2261071.628845, lowerbound=1131940.628845, norm of subgrad 41.088483	 stepsize= 1.000000 
-dualbound = 2261284.797993, lowerbound=1131749.797993, norm of subgrad 1064.515288	dualbound = 2261284.797993, lowerbound=1131749.797993, norm of subgrad 40.696058	 stepsize= 1.000000 
-dualbound = 2261510.029082, lowerbound=1129042.029082, norm of subgrad 1063.258214	dualbound = 2261510.029082, lowerbound=1129042.029082, norm of subgrad 41.245983	 stepsize= 1.000000 
-dualbound = 2261727.557442, lowerbound=1130939.557442, norm of subgrad 1064.158615	dualbound = 2261727.557442, lowerbound=1130939.557442, norm of subgrad 41.370622	 stepsize= 1.000000 
-dualbound = 2261948.796592, lowerbound=1134178.796592, norm of subgrad 1065.694045	dualbound = 2261948.796592, lowerbound=1134178.796592, norm of subgrad 41.788026	 stepsize= 1.000000 
-dualbound = 2262155.949655, lowerbound=1126921.949655, norm of subgrad 1062.292309	dualbound = 2262155.949655, lowerbound=1126921.949655, norm of subgrad 41.834831	 stepsize= 1.000000 
-dualbound = 2262382.107780, lowerbound=1133401.107780, norm of subgrad 1065.325822	dualbound = 2262382.107780, lowerbound=1133401.107780, norm of subgrad 41.763119	 stepsize= 1.000000 
-dualbound = 2262619.921448, lowerbound=1127231.921448, norm of subgrad 1062.426902	dualbound = 2262619.921448, lowerbound=1127231.921448, norm of subgrad 41.914361	 stepsize= 1.000000 
-dualbound = 2262834.788734, lowerbound=1136281.788734, norm of subgrad 1066.677453	dualbound = 2262834.788734, lowerbound=1136281.788734, norm of subgrad 41.639732	 stepsize= 1.000000 
-dualbound = 2263061.336537, lowerbound=1129948.336537, norm of subgrad 1063.707355	dualbound = 2263061.336537, lowerbound=1129948.336537, norm of subgrad 41.851497	 stepsize= 1.000000 
-dualbound = 2263298.213936, lowerbound=1133234.213936, norm of subgrad 1065.224490	dualbound = 2263298.213936, lowerbound=1133234.213936, norm of subgrad 41.302269	 stepsize= 1.000000 
-dualbound = 2263518.234302, lowerbound=1130577.234302, norm of subgrad 1063.970974	dualbound = 2263518.234302, lowerbound=1130577.234302, norm of subgrad 40.951439	 stepsize= 1.000000 
-dualbound = 2263758.924623, lowerbound=1130942.924623, norm of subgrad 1064.165365	dualbound = 2263758.924623, lowerbound=1130942.924623, norm of subgrad 41.781459	 stepsize= 1.000000 
-dualbound = 2263952.077690, lowerbound=1133061.077690, norm of subgrad 1065.153547	dualbound = 2263952.077690, lowerbound=1133061.077690, norm of subgrad 41.038434	 stepsize= 1.000000 
-dualbound = 2264205.392759, lowerbound=1131355.392759, norm of subgrad 1064.321565	dualbound = 2264205.392759, lowerbound=1131355.392759, norm of subgrad 40.967244	 stepsize= 1.000000 
-dualbound = 2264401.460793, lowerbound=1130068.460793, norm of subgrad 1063.739846	dualbound = 2264401.460793, lowerbound=1130068.460793, norm of subgrad 40.866466	 stepsize= 1.000000 
-dualbound = 2264659.039154, lowerbound=1132681.039154, norm of subgrad 1064.944148	dualbound = 2264659.039154, lowerbound=1132681.039154, norm of subgrad 41.019244	 stepsize= 1.000000 
-dualbound = 2264894.872685, lowerbound=1132032.872685, norm of subgrad 1064.646830	dualbound = 2264894.872685, lowerbound=1132032.872685, norm of subgrad 40.936946	 stepsize= 1.000000 
-dualbound = 2265099.424403, lowerbound=1131437.424403, norm of subgrad 1064.395803	dualbound = 2265099.424403, lowerbound=1131437.424403, norm of subgrad 41.298326	 stepsize= 1.000000 
-dualbound = 2265285.781852, lowerbound=1131654.781852, norm of subgrad 1064.514341	dualbound = 2265285.781852, lowerbound=1131654.781852, norm of subgrad 41.501295	 stepsize= 1.000000 
-dualbound = 2265523.742538, lowerbound=1129855.742538, norm of subgrad 1063.644556	dualbound = 2265523.742538, lowerbound=1129855.742538, norm of subgrad 41.496514	 stepsize= 1.000000 
-dualbound = 2265754.279035, lowerbound=1135327.279035, norm of subgrad 1066.213993	dualbound = 2265754.279035, lowerbound=1135327.279035, norm of subgrad 41.419035	 stepsize= 1.000000 
-dualbound = 2265997.466556, lowerbound=1130289.466556, norm of subgrad 1063.839493	dualbound = 2265997.466556, lowerbound=1130289.466556, norm of subgrad 41.330225	 stepsize= 1.000000 
-dualbound = 2266189.084171, lowerbound=1133767.084171, norm of subgrad 1065.500391	dualbound = 2266189.084171, lowerbound=1133767.084171, norm of subgrad 41.420015	 stepsize= 1.000000 
-dualbound = 2266429.630985, lowerbound=1133817.630985, norm of subgrad 1065.526457	dualbound = 2266429.630985, lowerbound=1133817.630985, norm of subgrad 42.065982	 stepsize= 1.000000 
-dualbound = 2266652.519744, lowerbound=1131379.519744, norm of subgrad 1064.389271	dualbound = 2266652.519744, lowerbound=1131379.519744, norm of subgrad 42.046269	 stepsize= 1.000000 
-dualbound = 2266854.785577, lowerbound=1131835.785577, norm of subgrad 1064.592310	dualbound = 2266854.785577, lowerbound=1131835.785577, norm of subgrad 41.512237	 stepsize= 1.000000 
-dualbound = 2267088.123579, lowerbound=1134201.123579, norm of subgrad 1065.672616	dualbound = 2267088.123579, lowerbound=1134201.123579, norm of subgrad 41.113720	 stepsize= 1.000000 
-dualbound = 2267311.090705, lowerbound=1134230.090705, norm of subgrad 1065.694183	dualbound = 2267311.090705, lowerbound=1134230.090705, norm of subgrad 41.194261	 stepsize= 1.000000 
-dualbound = 2267531.556832, lowerbound=1128442.556832, norm of subgrad 1063.000262	dualbound = 2267531.556832, lowerbound=1128442.556832, norm of subgrad 41.802705	 stepsize= 1.000000 
-dualbound = 2267759.307843, lowerbound=1130039.307843, norm of subgrad 1063.705931	dualbound = 2267759.307843, lowerbound=1130039.307843, norm of subgrad 40.727767	 stepsize= 1.000000 
-dualbound = 2267993.814702, lowerbound=1129919.814702, norm of subgrad 1063.669975	dualbound = 2267993.814702, lowerbound=1129919.814702, norm of subgrad 41.334088	 stepsize= 1.000000 
-dualbound = 2268227.419260, lowerbound=1134070.419260, norm of subgrad 1065.604251	dualbound = 2268227.419260, lowerbound=1134070.419260, norm of subgrad 40.934149	 stepsize= 1.000000 
-dualbound = 2268451.945273, lowerbound=1131460.945273, norm of subgrad 1064.364573	dualbound = 2268451.945273, lowerbound=1131460.945273, norm of subgrad 40.441637	 stepsize= 1.000000 
-dualbound = 2268678.835938, lowerbound=1127719.835938, norm of subgrad 1062.608976	dualbound = 2268678.835938, lowerbound=1127719.835938, norm of subgrad 40.557252	 stepsize= 1.000000 
-dualbound = 2268907.899665, lowerbound=1136135.899665, norm of subgrad 1066.589377	dualbound = 2268907.899665, lowerbound=1136135.899665, norm of subgrad 41.304524	 stepsize= 1.000000 
-dualbound = 2269095.358010, lowerbound=1128112.358010, norm of subgrad 1062.803537	dualbound = 2269095.358010, lowerbound=1128112.358010, norm of subgrad 40.329373	 stepsize= 1.000000 
-dualbound = 2269331.483434, lowerbound=1133774.483434, norm of subgrad 1065.509964	dualbound = 2269331.483434, lowerbound=1133774.483434, norm of subgrad 42.108496	 stepsize= 1.000000 
-dualbound = 2269526.084441, lowerbound=1137831.084441, norm of subgrad 1067.421231	dualbound = 2269526.084441, lowerbound=1137831.084441, norm of subgrad 41.852133	 stepsize= 1.000000 
-dualbound = 2269755.797082, lowerbound=1130976.797082, norm of subgrad 1064.202423	dualbound = 2269755.797082, lowerbound=1130976.797082, norm of subgrad 42.186641	 stepsize= 1.000000 
-dualbound = 2269980.716678, lowerbound=1132179.716678, norm of subgrad 1064.758525	dualbound = 2269980.716678, lowerbound=1132179.716678, norm of subgrad 41.903694	 stepsize= 1.000000 
-dualbound = 2270200.086876, lowerbound=1133587.086876, norm of subgrad 1065.433286	dualbound = 2270200.086876, lowerbound=1133587.086876, norm of subgrad 42.194433	 stepsize= 1.000000 
-dualbound = 2270418.662669, lowerbound=1128595.662669, norm of subgrad 1063.046407	dualbound = 2270418.662669, lowerbound=1128595.662669, norm of subgrad 41.116612	 stepsize= 1.000000 
-dualbound = 2270659.141183, lowerbound=1133744.141183, norm of subgrad 1065.500418	dualbound = 2270659.141183, lowerbound=1133744.141183, norm of subgrad 42.278582	 stepsize= 1.000000 
-dualbound = 2270883.299435, lowerbound=1133385.299435, norm of subgrad 1065.289773	dualbound = 2270883.299435, lowerbound=1133385.299435, norm of subgrad 41.001930	 stepsize= 1.000000 
-dualbound = 2271113.925330, lowerbound=1132445.925330, norm of subgrad 1064.825303	dualbound = 2271113.925330, lowerbound=1132445.925330, norm of subgrad 40.467591	 stepsize= 1.000000 
-dualbound = 2271356.143641, lowerbound=1131367.143641, norm of subgrad 1064.319099	dualbound = 2271356.143641, lowerbound=1131367.143641, norm of subgrad 40.622879	 stepsize= 1.000000 
-dualbound = 2271577.908620, lowerbound=1132457.908620, norm of subgrad 1064.870841	dualbound = 2271577.908620, lowerbound=1132457.908620, norm of subgrad 41.397645	 stepsize= 1.000000 
-dualbound = 2271758.904992, lowerbound=1134739.904992, norm of subgrad 1065.932880	dualbound = 2271758.904992, lowerbound=1134739.904992, norm of subgrad 40.669354	 stepsize= 1.000000 
-dualbound = 2272007.894147, lowerbound=1132505.894147, norm of subgrad 1064.891494	dualbound = 2272007.894147, lowerbound=1132505.894147, norm of subgrad 41.677202	 stepsize= 1.000000 
-dualbound = 2272201.011262, lowerbound=1136942.011262, norm of subgrad 1066.966265	dualbound = 2272201.011262, lowerbound=1136942.011262, norm of subgrad 40.842589	 stepsize= 1.000000 
-dualbound = 2272427.548700, lowerbound=1132787.548700, norm of subgrad 1065.026548	dualbound = 2272427.548700, lowerbound=1132787.548700, norm of subgrad 41.479362	 stepsize= 1.000000 
-dualbound = 2272651.777154, lowerbound=1130259.777154, norm of subgrad 1063.818959	dualbound = 2272651.777154, lowerbound=1130259.777154, norm of subgrad 40.929555	 stepsize= 1.000000 
-dualbound = 2272887.777977, lowerbound=1132836.777977, norm of subgrad 1065.038862	dualbound = 2272887.777977, lowerbound=1132836.777977, norm of subgrad 41.315866	 stepsize= 1.000000 
-dualbound = 2273063.931604, lowerbound=1131559.931604, norm of subgrad 1064.503138	dualbound = 2273063.931604, lowerbound=1131559.931604, norm of subgrad 42.227404	 stepsize= 1.000000 
-dualbound = 2273299.346569, lowerbound=1132223.346569, norm of subgrad 1064.747551	dualbound = 2273299.346569, lowerbound=1132223.346569, norm of subgrad 41.223961	 stepsize= 1.000000 
-dualbound = 2273552.873252, lowerbound=1135034.873252, norm of subgrad 1066.049189	dualbound = 2273552.873252, lowerbound=1135034.873252, norm of subgrad 40.982029	 stepsize= 1.000000 
-dualbound = 2273768.647872, lowerbound=1134675.647872, norm of subgrad 1065.909775	dualbound = 2273768.647872, lowerbound=1134675.647872, norm of subgrad 41.276805	 stepsize= 1.000000 
-dualbound = 2273961.579241, lowerbound=1133587.579241, norm of subgrad 1065.398789	dualbound = 2273961.579241, lowerbound=1133587.579241, norm of subgrad 40.986966	 stepsize= 1.000000 
-dualbound = 2274208.098647, lowerbound=1129827.098647, norm of subgrad 1063.644254	dualbound = 2274208.098647, lowerbound=1129827.098647, norm of subgrad 41.934704	 stepsize= 1.000000 
-dualbound = 2274403.651786, lowerbound=1132411.651786, norm of subgrad 1064.863678	dualbound = 2274403.651786, lowerbound=1132411.651786, norm of subgrad 41.455436	 stepsize= 1.000000 
-dualbound = 2274624.042238, lowerbound=1134492.042238, norm of subgrad 1065.829744	dualbound = 2274624.042238, lowerbound=1134492.042238, norm of subgrad 41.489643	 stepsize= 1.000000 
-dualbound = 2274843.258250, lowerbound=1132535.258250, norm of subgrad 1064.924062	dualbound = 2274843.258250, lowerbound=1132535.258250, norm of subgrad 41.799713	 stepsize= 1.000000 
-dualbound = 2275075.060646, lowerbound=1133028.060646, norm of subgrad 1065.139456	dualbound = 2275075.060646, lowerbound=1133028.060646, norm of subgrad 41.542778	 stepsize= 1.000000 
-dualbound = 2275290.089495, lowerbound=1132125.089495, norm of subgrad 1064.710801	dualbound = 2275290.089495, lowerbound=1132125.089495, norm of subgrad 41.219278	 stepsize= 1.000000 
-dualbound = 2275546.215598, lowerbound=1138616.215598, norm of subgrad 1067.719633	dualbound = 2275546.215598, lowerbound=1138616.215598, norm of subgrad 40.805957	 stepsize= 1.000000 
-dualbound = 2275753.662252, lowerbound=1128881.662252, norm of subgrad 1063.164457	dualbound = 2275753.662252, lowerbound=1128881.662252, norm of subgrad 40.551777	 stepsize= 1.000000 
-dualbound = 2275989.342700, lowerbound=1134312.342700, norm of subgrad 1065.760922	dualbound = 2275989.342700, lowerbound=1134312.342700, norm of subgrad 42.067570	 stepsize= 1.000000 
-dualbound = 2276184.801854, lowerbound=1129669.801854, norm of subgrad 1063.568898	dualbound = 2276184.801854, lowerbound=1129669.801854, norm of subgrad 41.285096	 stepsize= 1.000000 
-dualbound = 2276417.447293, lowerbound=1133756.447293, norm of subgrad 1065.492115	dualbound = 2276417.447293, lowerbound=1133756.447293, norm of subgrad 41.828763	 stepsize= 1.000000 
-dualbound = 2276629.876990, lowerbound=1133509.876990, norm of subgrad 1065.378279	dualbound = 2276629.876990, lowerbound=1133509.876990, norm of subgrad 41.634477	 stepsize= 1.000000 
-dualbound = 2276861.035663, lowerbound=1129409.035663, norm of subgrad 1063.421852	dualbound = 2276861.035663, lowerbound=1129409.035663, norm of subgrad 41.087208	 stepsize= 1.000000 
-dualbound = 2277096.915268, lowerbound=1133739.915269, norm of subgrad 1065.472625	dualbound = 2277096.915268, lowerbound=1133739.915269, norm of subgrad 41.567771	 stepsize= 1.000000 
-dualbound = 2277307.787451, lowerbound=1134904.787451, norm of subgrad 1066.026166	dualbound = 2277307.787451, lowerbound=1134904.787451, norm of subgrad 41.447222	 stepsize= 1.000000 
-dualbound = 2277522.547150, lowerbound=1129092.547150, norm of subgrad 1063.295607	dualbound = 2277522.547150, lowerbound=1129092.547150, norm of subgrad 41.469986	 stepsize= 1.000000 
-dualbound = 2277749.659742, lowerbound=1129819.659742, norm of subgrad 1063.640757	dualbound = 2277749.659742, lowerbound=1129819.659742, norm of subgrad 41.702669	 stepsize= 1.000000 
-dualbound = 2277961.376862, lowerbound=1136799.376862, norm of subgrad 1066.942537	dualbound = 2277961.376862, lowerbound=1136799.376862, norm of subgrad 42.174840	 stepsize= 1.000000 
-dualbound = 2278184.804664, lowerbound=1133783.804664, norm of subgrad 1065.480082	dualbound = 2278184.804664, lowerbound=1133783.804664, norm of subgrad 41.078313	 stepsize= 1.000000 
-dualbound = 2278425.178972, lowerbound=1132035.178972, norm of subgrad 1064.689241	dualbound = 2278425.178972, lowerbound=1132035.178972, norm of subgrad 42.052043	 stepsize= 1.000000 
-dualbound = 2278624.719221, lowerbound=1133135.719221, norm of subgrad 1065.198441	dualbound = 2278624.719221, lowerbound=1133135.719221, norm of subgrad 41.370766	 stepsize= 1.000000 
-dualbound = 2278863.756780, lowerbound=1132502.756780, norm of subgrad 1064.869831	dualbound = 2278863.756780, lowerbound=1132502.756780, norm of subgrad 41.037027	 stepsize= 1.000000 
-dualbound = 2279076.442635, lowerbound=1131635.442635, norm of subgrad 1064.463923	dualbound = 2279076.442635, lowerbound=1131635.442635, norm of subgrad 40.751514	 stepsize= 1.000000 
-dualbound = 2279328.833536, lowerbound=1137278.833536, norm of subgrad 1067.118004	dualbound = 2279328.833536, lowerbound=1137278.833536, norm of subgrad 41.405204	 stepsize= 1.000000 
-dualbound = 2279518.659162, lowerbound=1133167.659162, norm of subgrad 1065.190433	dualbound = 2279518.659162, lowerbound=1133167.659162, norm of subgrad 40.654958	 stepsize= 1.000000 
-dualbound = 2279770.420959, lowerbound=1133385.420959, norm of subgrad 1065.295931	dualbound = 2279770.420959, lowerbound=1133385.420959, norm of subgrad 41.494118	 stepsize= 1.000000 
-dualbound = 2279962.797872, lowerbound=1128742.797872, norm of subgrad 1063.131600	dualbound = 2279962.797872, lowerbound=1128742.797872, norm of subgrad 41.211369	 stepsize= 1.000000 
-dualbound = 2280189.531535, lowerbound=1137859.531535, norm of subgrad 1067.405046	dualbound = 2280189.531535, lowerbound=1137859.531535, norm of subgrad 41.481727	 stepsize= 1.000000 
-dualbound = 2280417.015215, lowerbound=1130187.015215, norm of subgrad 1063.810141	dualbound = 2280417.015215, lowerbound=1130187.015215, norm of subgrad 41.623115	 stepsize= 1.000000 
-dualbound = 2280607.109025, lowerbound=1137867.109025, norm of subgrad 1067.439511	dualbound = 2280607.109025, lowerbound=1137867.109025, norm of subgrad 41.834123	 stepsize= 1.000000 
-dualbound = 2280839.216467, lowerbound=1126839.216467, norm of subgrad 1062.249131	dualbound = 2280839.216467, lowerbound=1126839.216467, norm of subgrad 42.025081	 stepsize= 1.000000 
-dualbound = 2281067.640844, lowerbound=1134502.640844, norm of subgrad 1065.837530	dualbound = 2281067.640844, lowerbound=1134502.640844, norm of subgrad 41.658425	 stepsize= 1.000000 
-dualbound = 2281292.557055, lowerbound=1136684.557055, norm of subgrad 1066.847485	dualbound = 2281292.557055, lowerbound=1136684.557055, norm of subgrad 41.278520	 stepsize= 1.000000 
-dualbound = 2281511.268373, lowerbound=1134159.268373, norm of subgrad 1065.669399	dualbound = 2281511.268373, lowerbound=1134159.268373, norm of subgrad 41.360746	 stepsize= 1.000000 
-dualbound = 2281708.488171, lowerbound=1129806.488171, norm of subgrad 1063.626574	dualbound = 2281708.488171, lowerbound=1129806.488171, norm of subgrad 41.136599	 stepsize= 1.000000 
-dualbound = 2281958.202749, lowerbound=1135305.202749, norm of subgrad 1066.215364	dualbound = 2281958.202749, lowerbound=1135305.202749, norm of subgrad 41.948952	 stepsize= 1.000000 
-dualbound = 2282159.248348, lowerbound=1133439.248348, norm of subgrad 1065.321664	dualbound = 2282159.248348, lowerbound=1133439.248348, norm of subgrad 40.890654	 stepsize= 1.000000 
-dualbound = 2282400.604501, lowerbound=1135985.604501, norm of subgrad 1066.525482	dualbound = 2282400.604501, lowerbound=1135985.604501, norm of subgrad 41.621583	 stepsize= 1.000000 
-dualbound = 2282614.122688, lowerbound=1133160.122688, norm of subgrad 1065.172344	dualbound = 2282614.122688, lowerbound=1133160.122688, norm of subgrad 40.564987	 stepsize= 1.000000 
-dualbound = 2282852.759939, lowerbound=1133424.759939, norm of subgrad 1065.321435	dualbound = 2282852.759939, lowerbound=1133424.759939, norm of subgrad 41.516711	 stepsize= 1.000000 
-dualbound = 2283026.235569, lowerbound=1133591.235569, norm of subgrad 1065.410829	dualbound = 2283026.235569, lowerbound=1133591.235569, norm of subgrad 41.017992	 stepsize= 1.000000 
-dualbound = 2283295.363761, lowerbound=1134043.363761, norm of subgrad 1065.594840	dualbound = 2283295.363761, lowerbound=1134043.363761, norm of subgrad 41.450310	 stepsize= 1.000000 
-dualbound = 2283500.807272, lowerbound=1136779.807272, norm of subgrad 1066.869630	dualbound = 2283500.807272, lowerbound=1136779.807272, norm of subgrad 40.452979	 stepsize= 1.000000 
-dualbound = 2283741.402813, lowerbound=1131278.402813, norm of subgrad 1064.297610	dualbound = 2283741.402813, lowerbound=1131278.402813, norm of subgrad 41.129011	 stepsize= 1.000000 
-dualbound = 2283919.135143, lowerbound=1136137.135143, norm of subgrad 1066.612458	dualbound = 2283919.135143, lowerbound=1136137.135143, norm of subgrad 41.264177	 stepsize= 1.000000 
-dualbound = 2284137.415353, lowerbound=1135390.415353, norm of subgrad 1066.248759	dualbound = 2284137.415353, lowerbound=1135390.415353, norm of subgrad 41.403867	 stepsize= 1.000000 
-dualbound = 2284350.681727, lowerbound=1132211.681727, norm of subgrad 1064.760387	dualbound = 2284350.681727, lowerbound=1132211.681727, norm of subgrad 41.427845	 stepsize= 1.000000 
-dualbound = 2284581.978261, lowerbound=1133232.978261, norm of subgrad 1065.203726	dualbound = 2284581.978261, lowerbound=1133232.978261, norm of subgrad 40.709907	 stepsize= 1.000000 
-dualbound = 2284816.064750, lowerbound=1134420.064750, norm of subgrad 1065.761730	dualbound = 2284816.064750, lowerbound=1134420.064750, norm of subgrad 40.768695	 stepsize= 1.000000 
-dualbound = 2285042.696414, lowerbound=1133079.696414, norm of subgrad 1065.141632	dualbound = 2285042.696414, lowerbound=1133079.696414, norm of subgrad 40.910044	 stepsize= 1.000000 
-dualbound = 2285264.836586, lowerbound=1134695.836586, norm of subgrad 1065.894853	dualbound = 2285264.836586, lowerbound=1134695.836586, norm of subgrad 40.720267	 stepsize= 1.000000 
-dualbound = 2285493.161783, lowerbound=1139139.161783, norm of subgrad 1068.030974	dualbound = 2285493.161783, lowerbound=1139139.161783, norm of subgrad 42.182048	 stepsize= 1.000000 
-dualbound = 2285649.493262, lowerbound=1132040.493262, norm of subgrad 1064.663559	dualbound = 2285649.493262, lowerbound=1132040.493262, norm of subgrad 40.302996	 stepsize= 1.000000 
-dualbound = 2285937.259100, lowerbound=1136586.259100, norm of subgrad 1066.797665	dualbound = 2285937.259100, lowerbound=1136586.259100, norm of subgrad 41.937642	 stepsize= 1.000000 
-dualbound = 2286120.023712, lowerbound=1132553.023712, norm of subgrad 1064.899537	dualbound = 2286120.023712, lowerbound=1132553.023712, norm of subgrad 40.506353	 stepsize= 1.000000 
-dualbound = 2286344.714527, lowerbound=1133724.714527, norm of subgrad 1065.489894	dualbound = 2286344.714527, lowerbound=1133724.714527, norm of subgrad 42.055806	 stepsize= 1.000000 
-dualbound = 2286541.640848, lowerbound=1130761.640848, norm of subgrad 1064.077366	dualbound = 2286541.640848, lowerbound=1130761.640848, norm of subgrad 41.181626	 stepsize= 1.000000 
-dualbound = 2286796.392597, lowerbound=1137095.392597, norm of subgrad 1067.054072	dualbound = 2286796.392597, lowerbound=1137095.392597, norm of subgrad 41.997045	 stepsize= 1.000000 
-dualbound = 2287000.160328, lowerbound=1135023.160328, norm of subgrad 1066.074181	dualbound = 2287000.160328, lowerbound=1135023.160328, norm of subgrad 41.167557	 stepsize= 1.000000 
-dualbound = 2287235.801042, lowerbound=1135478.801042, norm of subgrad 1066.281295	dualbound = 2287235.801042, lowerbound=1135478.801042, norm of subgrad 41.384064	 stepsize= 1.000000 
-dualbound = 2287448.733745, lowerbound=1134138.733745, norm of subgrad 1065.663518	dualbound = 2287448.733745, lowerbound=1134138.733745, norm of subgrad 41.387591	 stepsize= 1.000000 
-dualbound = 2287670.054169, lowerbound=1132540.054169, norm of subgrad 1064.927253	dualbound = 2287670.054169, lowerbound=1132540.054169, norm of subgrad 41.848780	 stepsize= 1.000000 
-dualbound = 2287873.790763, lowerbound=1136125.790763, norm of subgrad 1066.582294	dualbound = 2287873.790763, lowerbound=1136125.790763, norm of subgrad 40.935762	 stepsize= 1.000000 
-dualbound = 2288120.843823, lowerbound=1135505.843823, norm of subgrad 1066.262090	dualbound = 2288120.843823, lowerbound=1135505.843823, norm of subgrad 40.694632	 stepsize= 1.000000 
-dualbound = 2288351.534068, lowerbound=1133936.534068, norm of subgrad 1065.548466	dualbound = 2288351.534068, lowerbound=1133936.534068, norm of subgrad 41.081507	 stepsize= 1.000000 
-dualbound = 2288529.906096, lowerbound=1135524.906096, norm of subgrad 1066.314169	dualbound = 2288529.906096, lowerbound=1135524.906096, norm of subgrad 40.980142	 stepsize= 1.000000 
-dualbound = 2288761.039686, lowerbound=1132922.039686, norm of subgrad 1065.069500	dualbound = 2288761.039686, lowerbound=1132922.039686, norm of subgrad 41.013822	 stepsize= 1.000000 
-dualbound = 2288974.537046, lowerbound=1136857.537046, norm of subgrad 1066.966043	dualbound = 2288974.537046, lowerbound=1136857.537046, norm of subgrad 42.101038	 stepsize= 1.000000 
-dualbound = 2289185.794756, lowerbound=1132403.794756, norm of subgrad 1064.850597	dualbound = 2289185.794756, lowerbound=1132403.794756, norm of subgrad 41.403595	 stepsize= 1.000000 
-dualbound = 2289416.411816, lowerbound=1137903.411816, norm of subgrad 1067.423258	dualbound = 2289416.411816, lowerbound=1137903.411816, norm of subgrad 41.468266	 stepsize= 1.000000 
-dualbound = 2289607.154758, lowerbound=1136554.154758, norm of subgrad 1066.807928	dualbound = 2289607.154758, lowerbound=1136554.154758, norm of subgrad 41.421528	 stepsize= 1.000000 
-dualbound = 2289839.391878, lowerbound=1131675.391878, norm of subgrad 1064.505233	dualbound = 2289839.391878, lowerbound=1131675.391878, norm of subgrad 41.572071	 stepsize= 1.000000 
-dualbound = 2290069.217660, lowerbound=1133102.217660, norm of subgrad 1065.152204	dualbound = 2290069.217660, lowerbound=1133102.217660, norm of subgrad 40.949063	 stepsize= 1.000000 
-dualbound = 2290286.540917, lowerbound=1136942.540917, norm of subgrad 1066.951986	dualbound = 2290286.540917, lowerbound=1136942.540917, norm of subgrad 40.759333	 stepsize= 1.000000 
-dualbound = 2290516.229016, lowerbound=1132530.229016, norm of subgrad 1064.872400	dualbound = 2290516.229016, lowerbound=1132530.229016, norm of subgrad 40.653267	 stepsize= 1.000000 
-dualbound = 2290728.229276, lowerbound=1137029.229276, norm of subgrad 1067.027286	dualbound = 2290728.229276, lowerbound=1137029.229276, norm of subgrad 41.593272	 stepsize= 1.000000 
-dualbound = 2290913.499436, lowerbound=1132592.499436, norm of subgrad 1064.969718	dualbound = 2290913.499436, lowerbound=1132592.499436, norm of subgrad 41.872069	 stepsize= 1.000000 
-dualbound = 2291141.322906, lowerbound=1134129.322906, norm of subgrad 1065.662387	dualbound = 2291141.322906, lowerbound=1134129.322906, norm of subgrad 41.651212	 stepsize= 1.000000 
-dualbound = 2291356.042022, lowerbound=1136800.042022, norm of subgrad 1066.921760	dualbound = 2291356.042022, lowerbound=1136800.042022, norm of subgrad 41.673962	 stepsize= 1.000000 
-dualbound = 2291611.993389, lowerbound=1135237.993389, norm of subgrad 1066.134604	dualbound = 2291611.993389, lowerbound=1135237.993389, norm of subgrad 40.754771	 stepsize= 1.000000 
-dualbound = 2291812.482657, lowerbound=1138772.482657, norm of subgrad 1067.832142	dualbound = 2291812.482657, lowerbound=1138772.482657, norm of subgrad 41.152026	 stepsize= 1.000000 
-dualbound = 2292034.700640, lowerbound=1130631.700640, norm of subgrad 1063.981532	dualbound = 2292034.700640, lowerbound=1130631.700640, norm of subgrad 40.585933	 stepsize= 1.000000 
-dualbound = 2292245.795023, lowerbound=1134566.795023, norm of subgrad 1065.837603	dualbound = 2292245.795023, lowerbound=1134566.795023, norm of subgrad 40.670559	 stepsize= 1.000000 
-dualbound = 2292508.004708, lowerbound=1136573.004708, norm of subgrad 1066.768956	dualbound = 2292508.004708, lowerbound=1136573.004708, norm of subgrad 41.051306	 stepsize= 1.000000 
-dualbound = 2292708.083239, lowerbound=1137484.083239, norm of subgrad 1067.195429	dualbound = 2292708.083239, lowerbound=1137484.083239, norm of subgrad 40.275036	 stepsize= 1.000000 
-dualbound = 2292942.347298, lowerbound=1130209.347298, norm of subgrad 1063.788206	dualbound = 2292942.347298, lowerbound=1130209.347298, norm of subgrad 40.868864	 stepsize= 1.000000 
-dualbound = 2293122.736178, lowerbound=1134153.736178, norm of subgrad 1065.669149	dualbound = 2293122.736178, lowerbound=1134153.736178, norm of subgrad 40.955938	 stepsize= 1.000000 
-dualbound = 2293340.496406, lowerbound=1139370.496406, norm of subgrad 1068.114927	dualbound = 2293340.496406, lowerbound=1139370.496406, norm of subgrad 41.433805	 stepsize= 1.000000 
-dualbound = 2293549.700865, lowerbound=1133170.700865, norm of subgrad 1065.215331	dualbound = 2293549.700865, lowerbound=1133170.700865, norm of subgrad 41.499451	 stepsize= 1.000000 
-dualbound = 2293758.917830, lowerbound=1132097.917830, norm of subgrad 1064.694753	dualbound = 2293758.917830, lowerbound=1132097.917830, norm of subgrad 41.063572	 stepsize= 1.000000 
-dualbound = 2293991.877777, lowerbound=1137084.877777, norm of subgrad 1067.036025	dualbound = 2293991.877777, lowerbound=1137084.877777, norm of subgrad 41.399999	 stepsize= 1.000000 
-dualbound = 2294209.634998, lowerbound=1134657.634998, norm of subgrad 1065.927125	dualbound = 2294209.634998, lowerbound=1134657.634998, norm of subgrad 41.961378	 stepsize= 1.000000 
-dualbound = 2294403.684019, lowerbound=1138506.684019, norm of subgrad 1067.720321	dualbound = 2294403.684019, lowerbound=1138506.684019, norm of subgrad 41.401075	 stepsize= 1.000000 
-dualbound = 2294630.874360, lowerbound=1133660.874360, norm of subgrad 1065.446796	dualbound = 2294630.874360, lowerbound=1133660.874360, norm of subgrad 41.751531	 stepsize= 1.000000 
-dualbound = 2294834.348384, lowerbound=1134585.348384, norm of subgrad 1065.857096	dualbound = 2294834.348384, lowerbound=1134585.348384, norm of subgrad 40.859198	 stepsize= 1.000000 
-dualbound = 2295079.809572, lowerbound=1133959.809572, norm of subgrad 1065.561734	dualbound = 2295079.809572, lowerbound=1133959.809572, norm of subgrad 41.321437	 stepsize= 1.000000 
-dualbound = 2295299.822251, lowerbound=1134204.822251, norm of subgrad 1065.688426	dualbound = 2295299.822251, lowerbound=1134204.822251, norm of subgrad 41.316010	 stepsize= 1.000000 
-dualbound = 2295505.462844, lowerbound=1135339.462844, norm of subgrad 1066.230961	dualbound = 2295505.462844, lowerbound=1135339.462844, norm of subgrad 41.408219	 stepsize= 1.000000 
-dualbound = 2295724.463427, lowerbound=1138791.463427, norm of subgrad 1067.808252	dualbound = 2295724.463427, lowerbound=1138791.463427, norm of subgrad 40.521606	 stepsize= 1.000000 
-dualbound = 2295956.194253, lowerbound=1137633.194253, norm of subgrad 1067.308388	dualbound = 2295956.194253, lowerbound=1137633.194253, norm of subgrad 41.781944	 stepsize= 1.000000 
-dualbound = 2296118.477703, lowerbound=1135275.477703, norm of subgrad 1066.204707	dualbound = 2296118.477703, lowerbound=1135275.477703, norm of subgrad 40.979061	 stepsize= 1.000000 
-dualbound = 2296375.655374, lowerbound=1131768.655374, norm of subgrad 1064.542463	dualbound = 2296375.655374, lowerbound=1131768.655374, norm of subgrad 41.703449	 stepsize= 1.000000 
-dualbound = 2296577.656682, lowerbound=1138630.656682, norm of subgrad 1067.775565	dualbound = 2296577.656682, lowerbound=1138630.656682, norm of subgrad 41.424646	 stepsize= 1.000000 
-dualbound = 2296797.161842, lowerbound=1133649.161842, norm of subgrad 1065.456786	dualbound = 2296797.161842, lowerbound=1133649.161842, norm of subgrad 42.053599	 stepsize= 1.000000 
-dualbound = 2297001.737489, lowerbound=1136757.737489, norm of subgrad 1066.897248	dualbound = 2297001.737489, lowerbound=1136757.737489, norm of subgrad 41.431578	 stepsize= 1.000000 
-dualbound = 2297255.550680, lowerbound=1133094.550680, norm of subgrad 1065.159871	dualbound = 2297255.550680, lowerbound=1133094.550680, norm of subgrad 41.530870	 stepsize= 1.000000 
-dualbound = 2297466.924140, lowerbound=1139159.924140, norm of subgrad 1068.031331	dualbound = 2297466.924140, lowerbound=1139159.924140, norm of subgrad 41.741747	 stepsize= 1.000000 
-dualbound = 2297671.808181, lowerbound=1131322.808181, norm of subgrad 1064.339142	dualbound = 2297671.808181, lowerbound=1131322.808181, norm of subgrad 41.229650	 stepsize= 1.000000 
-dualbound = 2297897.905250, lowerbound=1137515.905250, norm of subgrad 1067.232358	dualbound = 2297897.905250, lowerbound=1137515.905250, norm of subgrad 41.171557	 stepsize= 1.000000 
-dualbound = 2298137.072789, lowerbound=1137374.072789, norm of subgrad 1067.124675	dualbound = 2298137.072789, lowerbound=1137374.072789, norm of subgrad 40.251305	 stepsize= 1.000000 
-dualbound = 2298329.481429, lowerbound=1133953.481429, norm of subgrad 1065.573311	dualbound = 2298329.481429, lowerbound=1133953.481429, norm of subgrad 41.053729	 stepsize= 1.000000 
-dualbound = 2298538.751533, lowerbound=1135482.751533, norm of subgrad 1066.281272	dualbound = 2298538.751533, lowerbound=1135482.751533, norm of subgrad 41.015486	 stepsize= 1.000000 
-dualbound = 2298785.110264, lowerbound=1135889.110264, norm of subgrad 1066.452113	dualbound = 2298785.110264, lowerbound=1135889.110264, norm of subgrad 40.955570	 stepsize= 1.000000 
-dualbound = 2298976.534434, lowerbound=1137627.534434, norm of subgrad 1067.294493	dualbound = 2298976.534434, lowerbound=1137627.534434, norm of subgrad 41.005172	 stepsize= 1.000000 
-dualbound = 2299194.547933, lowerbound=1141064.547933, norm of subgrad 1068.936644	dualbound = 2299194.547933, lowerbound=1141064.547933, norm of subgrad 42.178353	 stepsize= 1.000000 
-dualbound = 2299369.015313, lowerbound=1133413.015313, norm of subgrad 1065.333288	dualbound = 2299369.015313, lowerbound=1133413.015313, norm of subgrad 41.188195	 stepsize= 1.000000 
-dualbound = 2299638.357530, lowerbound=1135295.357530, norm of subgrad 1066.185893	dualbound = 2299638.357530, lowerbound=1135295.357530, norm of subgrad 41.549275	 stepsize= 1.000000 
-dualbound = 2299854.028576, lowerbound=1136683.028576, norm of subgrad 1066.822398	dualbound = 2299854.028576, lowerbound=1136683.028576, norm of subgrad 40.529878	 stepsize= 1.000000 
-dualbound = 2300074.592558, lowerbound=1136897.592558, norm of subgrad 1066.946387	dualbound = 2300074.592558, lowerbound=1136897.592558, norm of subgrad 41.201505	 stepsize= 1.000000 
-dualbound = 2300284.536055, lowerbound=1134157.536055, norm of subgrad 1065.660610	dualbound = 2300284.536055, lowerbound=1134157.536055, norm of subgrad 41.048063	 stepsize= 1.000000 
-dualbound = 2300495.478036, lowerbound=1135562.478036, norm of subgrad 1066.350542	dualbound = 2300495.478036, lowerbound=1135562.478036, norm of subgrad 41.856206	 stepsize= 1.000000 
-dualbound = 2300696.006336, lowerbound=1130866.006336, norm of subgrad 1064.101972	dualbound = 2300696.006336, lowerbound=1130866.006336, norm of subgrad 40.589756	 stepsize= 1.000000 
-dualbound = 2300948.394321, lowerbound=1137305.394321, norm of subgrad 1067.130917	dualbound = 2300948.394321, lowerbound=1137305.394321, norm of subgrad 41.417243	 stepsize= 1.000000 
-dualbound = 2301101.458205, lowerbound=1138526.458205, norm of subgrad 1067.725835	dualbound = 2301101.458205, lowerbound=1138526.458205, norm of subgrad 40.805194	 stepsize= 1.000000 
-dualbound = 2301324.149902, lowerbound=1136538.149902, norm of subgrad 1066.807925	dualbound = 2301324.149902, lowerbound=1136538.149902, norm of subgrad 41.996330	 stepsize= 1.000000 
-dualbound = 2301533.032140, lowerbound=1136863.032140, norm of subgrad 1066.921287	dualbound = 2301533.032140, lowerbound=1136863.032140, norm of subgrad 40.827469	 stepsize= 1.000000 
-dualbound = 2301788.380068, lowerbound=1134331.380068, norm of subgrad 1065.753433	dualbound = 2301788.380068, lowerbound=1134331.380068, norm of subgrad 41.884937	 stepsize= 1.000000 
-dualbound = 2301972.172868, lowerbound=1136356.172868, norm of subgrad 1066.677633	dualbound = 2301972.172868, lowerbound=1136356.172868, norm of subgrad 40.358305	 stepsize= 1.000000 
-dualbound = 2302210.234058, lowerbound=1134382.234058, norm of subgrad 1065.768377	dualbound = 2302210.234058, lowerbound=1134382.234058, norm of subgrad 41.449502	 stepsize= 1.000000 
-dualbound = 2302402.784528, lowerbound=1140713.784528, norm of subgrad 1068.757589	dualbound = 2302402.784528, lowerbound=1140713.784528, norm of subgrad 41.491571	 stepsize= 1.000000 
-dualbound = 2302621.824525, lowerbound=1134171.824525, norm of subgrad 1065.691712	dualbound = 2302621.824525, lowerbound=1134171.824525, norm of subgrad 41.785643	 stepsize= 1.000000 
-dualbound = 2302818.637161, lowerbound=1136656.637161, norm of subgrad 1066.863458	dualbound = 2302818.637161, lowerbound=1136656.637161, norm of subgrad 41.687080	 stepsize= 1.000000 
-dualbound = 2303060.746508, lowerbound=1136568.746508, norm of subgrad 1066.781490	dualbound = 2303060.746508, lowerbound=1136568.746508, norm of subgrad 41.183848	 stepsize= 1.000000 
-dualbound = 2303267.130749, lowerbound=1137916.130749, norm of subgrad 1067.401111	dualbound = 2303267.130749, lowerbound=1137916.130749, norm of subgrad 40.439884	 stepsize= 1.000000 
-dualbound = 2303498.916275, lowerbound=1133076.916275, norm of subgrad 1065.152063	dualbound = 2303498.916275, lowerbound=1133076.916275, norm of subgrad 41.276937	 stepsize= 1.000000 
-dualbound = 2303710.923157, lowerbound=1138995.923157, norm of subgrad 1067.928801	dualbound = 2303710.923157, lowerbound=1138995.923157, norm of subgrad 41.085361	 stepsize= 1.000000 
-dualbound = 2303922.680692, lowerbound=1132422.680692, norm of subgrad 1064.821901	dualbound = 2303922.680692, lowerbound=1132422.680692, norm of subgrad 40.432135	 stepsize= 1.000000 
-dualbound = 2304145.061741, lowerbound=1139657.061741, norm of subgrad 1068.208342	dualbound = 2304145.061741, lowerbound=1139657.061741, norm of subgrad 40.427479	 stepsize= 1.000000 
-dualbound = 2304351.512170, lowerbound=1134058.512170, norm of subgrad 1065.623532	dualbound = 2304351.512170, lowerbound=1134058.512170, norm of subgrad 41.248642	 stepsize= 1.000000 
-dualbound = 2304557.455115, lowerbound=1138447.455115, norm of subgrad 1067.660740	dualbound = 2304557.455115, lowerbound=1138447.455115, norm of subgrad 40.717846	 stepsize= 1.000000 
-dualbound = 2304783.400122, lowerbound=1132390.400122, norm of subgrad 1064.834447	dualbound = 2304783.400122, lowerbound=1132390.400122, norm of subgrad 41.327291	 stepsize= 1.000000 
-dualbound = 2304990.917114, lowerbound=1140454.917114, norm of subgrad 1068.616824	dualbound = 2304990.917114, lowerbound=1140454.917114, norm of subgrad 41.164511	 stepsize= 1.000000 
-dualbound = 2305209.424427, lowerbound=1134420.424427, norm of subgrad 1065.809751	dualbound = 2305209.424427, lowerbound=1134420.424427, norm of subgrad 41.815156	 stepsize= 1.000000 
-dualbound = 2305413.745064, lowerbound=1137262.745064, norm of subgrad 1067.116556	dualbound = 2305413.745064, lowerbound=1137262.745064, norm of subgrad 40.979515	 stepsize= 1.000000 
-dualbound = 2305656.178918, lowerbound=1135426.178918, norm of subgrad 1066.243021	dualbound = 2305656.178918, lowerbound=1135426.178918, norm of subgrad 41.114886	 stepsize= 1.000000 
-dualbound = 2305857.722714, lowerbound=1141010.722714, norm of subgrad 1068.882932	dualbound = 2305857.722714, lowerbound=1141010.722714, norm of subgrad 41.249773	 stepsize= 1.000000 
-dualbound = 2306073.269905, lowerbound=1133089.269905, norm of subgrad 1065.156453	dualbound = 2306073.269905, lowerbound=1133089.269905, norm of subgrad 41.043236	 stepsize= 1.000000 
-dualbound = 2306266.406390, lowerbound=1139134.406390, norm of subgrad 1068.012362	dualbound = 2306266.406390, lowerbound=1139134.406390, norm of subgrad 41.341704	 stepsize= 1.000000 
-dualbound = 2306471.382039, lowerbound=1133628.382039, norm of subgrad 1065.446095	dualbound = 2306471.382039, lowerbound=1133628.382039, norm of subgrad 41.856608	 stepsize= 1.000000 
-dualbound = 2306722.983938, lowerbound=1138332.983938, norm of subgrad 1067.620712	dualbound = 2306722.983938, lowerbound=1138332.983938, norm of subgrad 41.624535	 stepsize= 1.000000 
-dualbound = 2306925.461236, lowerbound=1133356.461236, norm of subgrad 1065.314724	dualbound = 2306925.461236, lowerbound=1133356.461236, norm of subgrad 41.731011	 stepsize= 1.000000 
-dualbound = 2307138.344386, lowerbound=1135841.344386, norm of subgrad 1066.483635	dualbound = 2307138.344386, lowerbound=1135841.344386, norm of subgrad 41.939041	 stepsize= 1.000000 
-dualbound = 2307303.997118, lowerbound=1135315.997118, norm of subgrad 1066.214330	dualbound = 2307303.997118, lowerbound=1135315.997118, norm of subgrad 40.775639	 stepsize= 1.000000 
-dualbound = 2307577.161301, lowerbound=1141208.161301, norm of subgrad 1068.943947	dualbound = 2307577.161301, lowerbound=1141208.161301, norm of subgrad 41.305740	 stepsize= 1.000000 
-dualbound = 2307788.067202, lowerbound=1135785.067202, norm of subgrad 1066.412710	dualbound = 2307788.067202, lowerbound=1135785.067202, norm of subgrad 40.766480	 stepsize= 1.000000 
-dualbound = 2308008.296485, lowerbound=1133758.296485, norm of subgrad 1065.469050	dualbound = 2308008.296485, lowerbound=1133758.296485, norm of subgrad 41.063722	 stepsize= 1.000000 
-dualbound = 2308211.821763, lowerbound=1136536.821763, norm of subgrad 1066.758090	dualbound = 2308211.821763, lowerbound=1136536.821763, norm of subgrad 40.491052	 stepsize= 1.000000 
-dualbound = 2308428.987356, lowerbound=1136138.987356, norm of subgrad 1066.577699	dualbound = 2308428.987356, lowerbound=1136138.987356, norm of subgrad 40.818692	 stepsize= 1.000000 
-dualbound = 2308638.706361, lowerbound=1140669.706361, norm of subgrad 1068.724336	dualbound = 2308638.706361, lowerbound=1140669.706361, norm of subgrad 41.372926	 stepsize= 1.000000 
-dualbound = 2308859.410485, lowerbound=1136994.410485, norm of subgrad 1066.970670	dualbound = 2308859.410485, lowerbound=1136994.410485, norm of subgrad 40.653464	 stepsize= 1.000000 
-dualbound = 2309083.563353, lowerbound=1137000.563353, norm of subgrad 1066.999795	dualbound = 2309083.563353, lowerbound=1137000.563353, norm of subgrad 41.378169	 stepsize= 1.000000 
-dualbound = 2309282.776127, lowerbound=1136102.776127, norm of subgrad 1066.559317	dualbound = 2309282.776127, lowerbound=1136102.776127, norm of subgrad 40.561223	 stepsize= 1.000000 
-dualbound = 2309508.620555, lowerbound=1136004.620555, norm of subgrad 1066.555962	dualbound = 2309508.620555, lowerbound=1136004.620555, norm of subgrad 41.986241	 stepsize= 1.000000 
-dualbound = 2309702.051726, lowerbound=1138869.051726, norm of subgrad 1067.904514	dualbound = 2309702.051726, lowerbound=1138869.051726, norm of subgrad 41.766388	 stepsize= 1.000000 
-dualbound = 2309909.314234, lowerbound=1134342.314234, norm of subgrad 1065.768415	dualbound = 2309909.314234, lowerbound=1134342.314234, norm of subgrad 41.560348	 stepsize= 1.000000 
-dualbound = 2310145.200728, lowerbound=1137239.200728, norm of subgrad 1067.092405	dualbound = 2310145.200728, lowerbound=1137239.200728, norm of subgrad 41.023000	 stepsize= 1.000000 
-dualbound = 2310372.831569, lowerbound=1138244.831569, norm of subgrad 1067.561629	dualbound = 2310372.831569, lowerbound=1138244.831569, norm of subgrad 40.873351	 stepsize= 1.000000 
-dualbound = 2310558.558991, lowerbound=1134287.558991, norm of subgrad 1065.718330	dualbound = 2310558.558991, lowerbound=1134287.558991, norm of subgrad 40.666048	 stepsize= 1.000000 
-dualbound = 2310794.404951, lowerbound=1137875.404951, norm of subgrad 1067.403113	dualbound = 2310794.404951, lowerbound=1137875.404951, norm of subgrad 41.350284	 stepsize= 1.000000 
-dualbound = 2310978.449693, lowerbound=1137065.449693, norm of subgrad 1067.036293	dualbound = 2310978.449693, lowerbound=1137065.449693, norm of subgrad 41.049296	 stepsize= 1.000000 
-dualbound = 2311205.508057, lowerbound=1135623.508057, norm of subgrad 1066.334145	dualbound = 2311205.508057, lowerbound=1135623.508057, norm of subgrad 40.890810	 stepsize= 1.000000 
-dualbound = 2311421.603343, lowerbound=1133951.603343, norm of subgrad 1065.592137	dualbound = 2311421.603343, lowerbound=1133951.603343, norm of subgrad 41.846090	 stepsize= 1.000000 
-dualbound = 2311611.243653, lowerbound=1135151.243653, norm of subgrad 1066.137535	dualbound = 2311611.243653, lowerbound=1135151.243653, norm of subgrad 41.080900	 stepsize= 1.000000 
-dualbound = 2311857.195162, lowerbound=1137640.195162, norm of subgrad 1067.265288	dualbound = 2311857.195162, lowerbound=1137640.195162, norm of subgrad 40.754773	 stepsize= 1.000000 
-dualbound = 2312078.336880, lowerbound=1137778.336880, norm of subgrad 1067.362327	dualbound = 2312078.336880, lowerbound=1137778.336880, norm of subgrad 41.293362	 stepsize= 1.000000 
-dualbound = 2312281.718359, lowerbound=1139054.718359, norm of subgrad 1067.968032	dualbound = 2312281.718359, lowerbound=1139054.718359, norm of subgrad 41.284155	 stepsize= 1.000000 
-dualbound = 2312488.742921, lowerbound=1134224.742921, norm of subgrad 1065.729676	dualbound = 2312488.742921, lowerbound=1134224.742921, norm of subgrad 41.976476	 stepsize= 1.000000 
-dualbound = 2312699.412661, lowerbound=1138767.412661, norm of subgrad 1067.831172	dualbound = 2312699.412661, lowerbound=1138767.412661, norm of subgrad 41.311860	 stepsize= 1.000000 
-dualbound = 2312936.846982, lowerbound=1135953.846982, norm of subgrad 1066.483402	dualbound = 2312936.846982, lowerbound=1135953.846982, norm of subgrad 40.870947	 stepsize= 1.000000 
-dualbound = 2313160.442895, lowerbound=1138897.442895, norm of subgrad 1067.872859	dualbound = 2313160.442895, lowerbound=1138897.442895, norm of subgrad 40.970671	 stepsize= 1.000000 
-dualbound = 2313335.453305, lowerbound=1136083.453305, norm of subgrad 1066.592449	dualbound = 2313335.453305, lowerbound=1136083.453305, norm of subgrad 41.364362	 stepsize= 1.000000 
-dualbound = 2313559.564160, lowerbound=1138450.564160, norm of subgrad 1067.698723	dualbound = 2313559.564160, lowerbound=1138450.564160, norm of subgrad 41.882107	 stepsize= 1.000000 
-dualbound = 2313771.011301, lowerbound=1136352.011301, norm of subgrad 1066.702401	dualbound = 2313771.011301, lowerbound=1136352.011301, norm of subgrad 41.393806	 stepsize= 1.000000 
-dualbound = 2313983.300107, lowerbound=1138762.300107, norm of subgrad 1067.833461	dualbound = 2313983.300107, lowerbound=1138762.300107, norm of subgrad 41.452247	 stepsize= 1.000000 
-dualbound = 2314232.076541, lowerbound=1134258.076541, norm of subgrad 1065.695114	dualbound = 2314232.076541, lowerbound=1134258.076541, norm of subgrad 41.191946	 stepsize= 1.000000 
-dualbound = 2314430.432249, lowerbound=1136984.432249, norm of subgrad 1066.999265	dualbound = 2314430.432249, lowerbound=1136984.432249, norm of subgrad 41.247493	 stepsize= 1.000000 
-dualbound = 2314639.407993, lowerbound=1137330.407993, norm of subgrad 1067.135140	dualbound = 2314639.407993, lowerbound=1137330.407993, norm of subgrad 40.693682	 stepsize= 1.000000 
-dualbound = 2314869.324982, lowerbound=1137260.324982, norm of subgrad 1067.108394	dualbound = 2314869.324982, lowerbound=1137260.324982, norm of subgrad 41.108600	 stepsize= 1.000000 
-dualbound = 2315063.550341, lowerbound=1135725.550341, norm of subgrad 1066.427940	dualbound = 2315063.550341, lowerbound=1135725.550341, norm of subgrad 41.680035	 stepsize= 1.000000 
-dualbound = 2315277.474946, lowerbound=1140517.474946, norm of subgrad 1068.642351	dualbound = 2315277.474946, lowerbound=1140517.474946, norm of subgrad 41.145165	 stepsize= 1.000000 
-dualbound = 2315497.767752, lowerbound=1134595.767752, norm of subgrad 1065.865736	dualbound = 2315497.767752, lowerbound=1134595.767752, norm of subgrad 41.161788	 stepsize= 1.000000 
-dualbound = 2315728.357864, lowerbound=1139930.357864, norm of subgrad 1068.349361	dualbound = 2315728.357864, lowerbound=1139930.357864, norm of subgrad 40.872853	 stepsize= 1.000000 
-dualbound = 2315939.924905, lowerbound=1134841.924905, norm of subgrad 1065.958688	dualbound = 2315939.924905, lowerbound=1134841.924905, norm of subgrad 40.466863	 stepsize= 1.000000 
-dualbound = 2316158.606535, lowerbound=1138396.606535, norm of subgrad 1067.631306	dualbound = 2316158.606535, lowerbound=1138396.606535, norm of subgrad 40.726915	 stepsize= 1.000000 
-dualbound = 2316356.227207, lowerbound=1133049.227207, norm of subgrad 1065.154086	dualbound = 2316356.227207, lowerbound=1133049.227207, norm of subgrad 41.250705	 stepsize= 1.000000 
-dualbound = 2316556.844702, lowerbound=1140451.844702, norm of subgrad 1068.621001	dualbound = 2316556.844702, lowerbound=1140451.844702, norm of subgrad 41.226417	 stepsize= 1.000000 
-dualbound = 2316774.564397, lowerbound=1136625.564397, norm of subgrad 1066.835303	dualbound = 2316774.564397, lowerbound=1136625.564397, norm of subgrad 41.589899	 stepsize= 1.000000 
-dualbound = 2316973.590610, lowerbound=1134213.590610, norm of subgrad 1065.711777	dualbound = 2316973.590610, lowerbound=1134213.590610, norm of subgrad 41.557505	 stepsize= 1.000000 
-dualbound = 2317202.572052, lowerbound=1139304.572052, norm of subgrad 1068.084534	dualbound = 2317202.572052, lowerbound=1139304.572052, norm of subgrad 41.581023	 stepsize= 1.000000 
-dualbound = 2317403.248386, lowerbound=1142532.248386, norm of subgrad 1069.577135	dualbound = 2317403.248386, lowerbound=1142532.248386, norm of subgrad 40.788189	 stepsize= 1.000000 
-dualbound = 2317634.251935, lowerbound=1132340.251935, norm of subgrad 1064.801508	dualbound = 2317634.251935, lowerbound=1132340.251935, norm of subgrad 41.146124	 stepsize= 1.000000 
-dualbound = 2317850.738410, lowerbound=1140606.738410, norm of subgrad 1068.674758	dualbound = 2317850.738410, lowerbound=1140606.738410, norm of subgrad 40.932707	 stepsize= 1.000000 
-dualbound = 2318062.890769, lowerbound=1134420.890769, norm of subgrad 1065.781352	dualbound = 2318062.890769, lowerbound=1134420.890769, norm of subgrad 41.001858	 stepsize= 1.000000 
-dualbound = 2318279.717627, lowerbound=1138261.717627, norm of subgrad 1067.591082	dualbound = 2318279.717627, lowerbound=1138261.717627, norm of subgrad 41.301657	 stepsize= 1.000000 
-dualbound = 2318449.549474, lowerbound=1136946.549474, norm of subgrad 1067.004475	dualbound = 2318449.549474, lowerbound=1136946.549474, norm of subgrad 41.494962	 stepsize= 1.000000 
-dualbound = 2318713.596215, lowerbound=1134972.596215, norm of subgrad 1066.023732	dualbound = 2318713.596215, lowerbound=1134972.596215, norm of subgrad 41.207363	 stepsize= 1.000000 
-dualbound = 2318926.169944, lowerbound=1140235.169944, norm of subgrad 1068.481245	dualbound = 2318926.169944, lowerbound=1140235.169944, norm of subgrad 40.367979	 stepsize= 1.000000 
-dualbound = 2319118.741742, lowerbound=1137899.741742, norm of subgrad 1067.424818	dualbound = 2319118.741742, lowerbound=1137899.741742, norm of subgrad 41.092235	 stepsize= 1.000000 
-dualbound = 2319320.024518, lowerbound=1132350.024518, norm of subgrad 1064.821593	dualbound = 2319320.024518, lowerbound=1132350.024518, norm of subgrad 41.185954	 stepsize= 1.000000 
-dualbound = 2319558.492976, lowerbound=1143315.492976, norm of subgrad 1069.946491	dualbound = 2319558.492976, lowerbound=1143315.492976, norm of subgrad 41.333624	 stepsize= 1.000000 
-dualbound = 2319769.160385, lowerbound=1137031.160385, norm of subgrad 1067.020225	dualbound = 2319769.160385, lowerbound=1137031.160385, norm of subgrad 41.372302	 stepsize= 1.000000 
-dualbound = 2319985.862500, lowerbound=1135289.862500, norm of subgrad 1066.183785	dualbound = 2319985.862500, lowerbound=1135289.862500, norm of subgrad 40.923124	 stepsize= 1.000000 
-dualbound = 2320206.126219, lowerbound=1135908.126219, norm of subgrad 1066.460091	dualbound = 2320206.126219, lowerbound=1135908.126219, norm of subgrad 40.611128	 stepsize= 1.000000 
-dualbound = 2320417.807063, lowerbound=1137259.807063, norm of subgrad 1067.118928	dualbound = 2320417.807063, lowerbound=1137259.807063, norm of subgrad 41.166501	 stepsize= 1.000000 
-dualbound = 2320628.706007, lowerbound=1136797.706007, norm of subgrad 1066.926289	dualbound = 2320628.706007, lowerbound=1136797.706007, norm of subgrad 41.771988	 stepsize= 1.000000 
-dualbound = 2320815.259015, lowerbound=1138637.259015, norm of subgrad 1067.772569	dualbound = 2320815.259015, lowerbound=1138637.259015, norm of subgrad 41.079837	 stepsize= 1.000000 
-dualbound = 2321053.387760, lowerbound=1138748.387760, norm of subgrad 1067.817582	dualbound = 2321053.387760, lowerbound=1138748.387760, norm of subgrad 41.522629	 stepsize= 1.000000 
-dualbound = 2321271.521034, lowerbound=1139157.521034, norm of subgrad 1068.019907	dualbound = 2321271.521034, lowerbound=1139157.521034, norm of subgrad 41.558793	 stepsize= 1.000000 
-dualbound = 2321462.721049, lowerbound=1133842.721049, norm of subgrad 1065.526499	dualbound = 2321462.721049, lowerbound=1133842.721049, norm of subgrad 41.172807	 stepsize= 1.000000 
-dualbound = 2321674.608214, lowerbound=1142528.608214, norm of subgrad 1069.597872	dualbound = 2321674.608214, lowerbound=1142528.608214, norm of subgrad 41.507676	 stepsize= 1.000000 
-dualbound = 2321902.310263, lowerbound=1133696.310263, norm of subgrad 1065.479850	dualbound = 2321902.310263, lowerbound=1133696.310263, norm of subgrad 42.174661	 stepsize= 1.000000 
-dualbound = 2322114.598795, lowerbound=1141683.598795, norm of subgrad 1069.179872	dualbound = 2322114.598795, lowerbound=1141683.598795, norm of subgrad 40.918071	 stepsize= 1.000000 
-dualbound = 2322371.821819, lowerbound=1134969.821819, norm of subgrad 1066.015864	dualbound = 2322371.821819, lowerbound=1134969.821819, norm of subgrad 40.953913	 stepsize= 1.000000 
-dualbound = 2322577.859897, lowerbound=1136235.859897, norm of subgrad 1066.628736	dualbound = 2322577.859897, lowerbound=1136235.859897, norm of subgrad 40.829378	 stepsize= 1.000000 
-dualbound = 2322755.772988, lowerbound=1140289.772988, norm of subgrad 1068.525981	dualbound = 2322755.772988, lowerbound=1140289.772988, norm of subgrad 40.446422	 stepsize= 1.000000 
-dualbound = 2322994.415505, lowerbound=1135946.415505, norm of subgrad 1066.505703	dualbound = 2322994.415505, lowerbound=1135946.415505, norm of subgrad 41.552888	 stepsize= 1.000000 
-dualbound = 2323166.241245, lowerbound=1135678.241245, norm of subgrad 1066.425919	dualbound = 2323166.241245, lowerbound=1135678.241245, norm of subgrad 41.926432	 stepsize= 1.000000 
-dualbound = 2323386.649462, lowerbound=1139320.649462, norm of subgrad 1068.113126	dualbound = 2323386.649462, lowerbound=1139320.649462, norm of subgrad 42.016761	 stepsize= 1.000000 
-dualbound = 2323584.211061, lowerbound=1138204.211061, norm of subgrad 1067.578199	dualbound = 2323584.211061, lowerbound=1138204.211061, norm of subgrad 41.431408	 stepsize= 1.000000 
-dualbound = 2323853.184569, lowerbound=1135927.184569, norm of subgrad 1066.469495	dualbound = 2323853.184569, lowerbound=1135927.184569, norm of subgrad 41.218606	 stepsize= 1.000000 
-dualbound = 2324033.411799, lowerbound=1141230.411799, norm of subgrad 1068.971661	dualbound = 2324033.411799, lowerbound=1141230.411799, norm of subgrad 40.622989	 stepsize= 1.000000 
-dualbound = 2324266.232989, lowerbound=1137341.232989, norm of subgrad 1067.155206	dualbound = 2324266.232989, lowerbound=1137341.232989, norm of subgrad 41.374161	 stepsize= 1.000000 
-dualbound = 2324468.486221, lowerbound=1140164.486221, norm of subgrad 1068.493559	dualbound = 2324468.486221, lowerbound=1140164.486221, norm of subgrad 41.427687	 stepsize= 1.000000 
-dualbound = 2324687.799169, lowerbound=1134821.799169, norm of subgrad 1065.980206	dualbound = 2324687.799169, lowerbound=1134821.799169, norm of subgrad 41.368018	 stepsize= 1.000000 
-dualbound = 2324905.242614, lowerbound=1136342.242614, norm of subgrad 1066.679072	dualbound = 2324905.242614, lowerbound=1136342.242614, norm of subgrad 40.981013	 stepsize= 1.000000 
-dualbound = 2325106.953950, lowerbound=1139686.953950, norm of subgrad 1068.259778	dualbound = 2325106.953950, lowerbound=1139686.953950, norm of subgrad 41.154724	 stepsize= 1.000000 
-dualbound = 2325330.707302, lowerbound=1136484.707302, norm of subgrad 1066.757567	dualbound = 2325330.707302, lowerbound=1136484.707302, norm of subgrad 41.361254	 stepsize= 1.000000 
-dualbound = 2325533.742558, lowerbound=1135661.742558, norm of subgrad 1066.356761	dualbound = 2325533.742558, lowerbound=1135661.742558, norm of subgrad 40.718979	 stepsize= 1.000000 
-dualbound = 2325772.602955, lowerbound=1141353.602955, norm of subgrad 1069.018523	dualbound = 2325772.602955, lowerbound=1141353.602955, norm of subgrad 41.059230	 stepsize= 1.000000 
-dualbound = 2325982.787525, lowerbound=1138685.787525, norm of subgrad 1067.769539	dualbound = 2325982.787525, lowerbound=1138685.787525, norm of subgrad 40.696248	 stepsize= 1.000000 
-dualbound = 2326193.010445, lowerbound=1138927.010445, norm of subgrad 1067.901686	dualbound = 2326193.010445, lowerbound=1138927.010445, norm of subgrad 41.197365	 stepsize= 1.000000 
-dualbound = 2326396.650140, lowerbound=1133417.650140, norm of subgrad 1065.316221	dualbound = 2326396.650140, lowerbound=1133417.650140, norm of subgrad 41.044363	 stepsize= 1.000000 
-dualbound = 2326614.217921, lowerbound=1142825.217921, norm of subgrad 1069.704734	dualbound = 2326614.217921, lowerbound=1142825.217921, norm of subgrad 40.750065	 stepsize= 1.000000 
-dualbound = 2326820.109328, lowerbound=1136336.109328, norm of subgrad 1066.702446	dualbound = 2326820.109328, lowerbound=1136336.109328, norm of subgrad 41.519771	 stepsize= 1.000000 
-dualbound = 2327003.969931, lowerbound=1140543.969931, norm of subgrad 1068.670656	dualbound = 2327003.969931, lowerbound=1140543.969931, norm of subgrad 41.192968	 stepsize= 1.000000 
-dualbound = 2327220.988172, lowerbound=1136887.988172, norm of subgrad 1066.936731	dualbound = 2327220.988172, lowerbound=1136887.988172, norm of subgrad 41.024605	 stepsize= 1.000000 
-dualbound = 2327480.348619, lowerbound=1137254.348619, norm of subgrad 1067.079354	dualbound = 2327480.348619, lowerbound=1137254.348619, norm of subgrad 40.784316	 stepsize= 1.000000 
-dualbound = 2327674.280136, lowerbound=1138456.280136, norm of subgrad 1067.676580	dualbound = 2327674.280136, lowerbound=1138456.280136, norm of subgrad 40.877029	 stepsize= 1.000000 
-dualbound = 2327863.688141, lowerbound=1137824.688141, norm of subgrad 1067.385913	dualbound = 2327863.688141, lowerbound=1137824.688141, norm of subgrad 40.956172	 stepsize= 1.000000 
-dualbound = 2328098.684010, lowerbound=1135318.684010, norm of subgrad 1066.184639	dualbound = 2328098.684010, lowerbound=1135318.684010, norm of subgrad 40.816613	 stepsize= 1.000000 
-dualbound = 2328333.706565, lowerbound=1137663.706565, norm of subgrad 1067.285204	dualbound = 2328333.706565, lowerbound=1137663.706565, norm of subgrad 40.853672	 stepsize= 1.000000 
-dualbound = 2328511.577111, lowerbound=1143699.577111, norm of subgrad 1070.164276	dualbound = 2328511.577111, lowerbound=1143699.577111, norm of subgrad 41.591712	 stepsize= 1.000000 
-dualbound = 2328714.418738, lowerbound=1137962.418738, norm of subgrad 1067.486027	dualbound = 2328714.418738, lowerbound=1137962.418738, norm of subgrad 42.033815	 stepsize= 1.000000 
-dualbound = 2328917.924897, lowerbound=1137759.924897, norm of subgrad 1067.372440	dualbound = 2328917.924897, lowerbound=1137759.924897, norm of subgrad 41.563279	 stepsize= 1.000000 
-dualbound = 2329158.295583, lowerbound=1138441.295583, norm of subgrad 1067.683144	dualbound = 2329158.295583, lowerbound=1138441.295583, norm of subgrad 41.789600	 stepsize= 1.000000 
-dualbound = 2329363.960268, lowerbound=1139064.960268, norm of subgrad 1067.986873	dualbound = 2329363.960268, lowerbound=1139064.960268, norm of subgrad 41.673309	 stepsize= 1.000000 
-dualbound = 2329599.829458, lowerbound=1137436.829458, norm of subgrad 1067.158296	dualbound = 2329599.829458, lowerbound=1137436.829458, norm of subgrad 40.322068	 stepsize= 1.000000 
-dualbound = 2329822.598194, lowerbound=1137555.598194, norm of subgrad 1067.247206	dualbound = 2329822.598194, lowerbound=1137555.598194, norm of subgrad 41.033751	 stepsize= 1.000000 
-dualbound = 2329994.255967, lowerbound=1137966.255967, norm of subgrad 1067.445200	dualbound = 2329994.255967, lowerbound=1137966.255967, norm of subgrad 40.554380	 stepsize= 1.000000 
-dualbound = 2330230.152325, lowerbound=1137114.152325, norm of subgrad 1067.027719	dualbound = 2330230.152325, lowerbound=1137114.152325, norm of subgrad 40.864365	 stepsize= 1.000000 
-dualbound = 2330427.848548, lowerbound=1143545.848548, norm of subgrad 1070.077497	dualbound = 2330427.848548, lowerbound=1143545.848548, norm of subgrad 41.445099	 stepsize= 1.000000 
-dualbound = 2330641.919840, lowerbound=1134311.919840, norm of subgrad 1065.733982	dualbound = 2330641.919840, lowerbound=1134311.919840, norm of subgrad 41.122637	 stepsize= 1.000000 
-dualbound = 2330864.647191, lowerbound=1137726.647191, norm of subgrad 1067.341392	dualbound = 2330864.647191, lowerbound=1137726.647191, norm of subgrad 41.397190	 stepsize= 1.000000 
-dualbound = 2331065.935109, lowerbound=1141505.935109, norm of subgrad 1069.093043	dualbound = 2331065.935109, lowerbound=1141505.935109, norm of subgrad 40.685230	 stepsize= 1.000000 
-dualbound = 2331303.060349, lowerbound=1140221.060349, norm of subgrad 1068.481661	dualbound = 2331303.060349, lowerbound=1140221.060349, norm of subgrad 40.854929	 stepsize= 1.000000 
-dualbound = 2331519.909856, lowerbound=1132746.909856, norm of subgrad 1064.980709	dualbound = 2331519.909856, lowerbound=1132746.909856, norm of subgrad 40.667549	 stepsize= 1.000000 
-dualbound = 2331735.202058, lowerbound=1140512.202058, norm of subgrad 1068.669360	dualbound = 2331735.202058, lowerbound=1140512.202058, norm of subgrad 41.920069	 stepsize= 1.000000 
-dualbound = 2331902.736114, lowerbound=1137473.736114, norm of subgrad 1067.275848	dualbound = 2331902.736114, lowerbound=1137473.736114, norm of subgrad 42.089596	 stepsize= 1.000000 
-dualbound = 2332099.301365, lowerbound=1137968.301365, norm of subgrad 1067.521570	dualbound = 2332099.301365, lowerbound=1137968.301365, norm of subgrad 42.785105	 stepsize= 1.000000 
-dualbound = 2332325.737761, lowerbound=1134853.737761, norm of subgrad 1066.001284	dualbound = 2332325.737761, lowerbound=1134853.737761, norm of subgrad 41.610532	 stepsize= 1.000000 
-dualbound = 2332552.616614, lowerbound=1139670.616614, norm of subgrad 1068.249323	dualbound = 2332552.616614, lowerbound=1139670.616614, norm of subgrad 41.386941	 stepsize= 1.000000 
-dualbound = 2332790.988617, lowerbound=1135850.988617, norm of subgrad 1066.461433	dualbound = 2332790.988617, lowerbound=1135850.988617, norm of subgrad 41.561665	 stepsize= 1.000000 
-dualbound = 2332999.230417, lowerbound=1142952.230417, norm of subgrad 1069.791209	dualbound = 2332999.230417, lowerbound=1142952.230417, norm of subgrad 41.342978	 stepsize= 1.000000 
-dualbound = 2333201.117311, lowerbound=1138723.117311, norm of subgrad 1067.801535	dualbound = 2333201.117311, lowerbound=1138723.117311, norm of subgrad 40.974222	 stepsize= 1.000000 
-dualbound = 2333412.481735, lowerbound=1136456.481735, norm of subgrad 1066.780428	dualbound = 2333412.481735, lowerbound=1136456.481735, norm of subgrad 42.135074	 stepsize= 1.000000 
-dualbound = 2333612.154160, lowerbound=1140392.154160, norm of subgrad 1068.559851	dualbound = 2333612.154160, lowerbound=1140392.154160, norm of subgrad 40.344422	 stepsize= 1.000000 
-dualbound = 2333873.539682, lowerbound=1135210.539682, norm of subgrad 1066.125949	dualbound = 2333873.539682, lowerbound=1135210.539682, norm of subgrad 40.931473	 stepsize= 1.000000 
-dualbound = 2334059.813865, lowerbound=1141338.813865, norm of subgrad 1069.009735	dualbound = 2334059.813865, lowerbound=1141338.813865, norm of subgrad 40.364269	 stepsize= 1.000000 
-dualbound = 2334265.976568, lowerbound=1139443.976568, norm of subgrad 1068.142770	dualbound = 2334265.976568, lowerbound=1139443.976568, norm of subgrad 41.123749	 stepsize= 1.000000 
-dualbound = 2334474.538574, lowerbound=1136063.538574, norm of subgrad 1066.582176	dualbound = 2334474.538574, lowerbound=1136063.538574, norm of subgrad 41.744006	 stepsize= 1.000000 
-dualbound = 2334682.577658, lowerbound=1140412.577658, norm of subgrad 1068.597949	dualbound = 2334682.577658, lowerbound=1140412.577658, norm of subgrad 41.195134	 stepsize= 1.000000 
-dualbound = 2334917.356767, lowerbound=1136947.356767, norm of subgrad 1066.975331	dualbound = 2334917.356767, lowerbound=1136947.356767, norm of subgrad 41.518419	 stepsize= 1.000000 
-dualbound = 2335100.255081, lowerbound=1138060.255081, norm of subgrad 1067.540283	dualbound = 2335100.255081, lowerbound=1138060.255081, norm of subgrad 42.010693	 stepsize= 1.000000 
-dualbound = 2335337.336671, lowerbound=1138788.336671, norm of subgrad 1067.844716	dualbound = 2335337.336671, lowerbound=1138788.336671, norm of subgrad 41.726270	 stepsize= 1.000000 
-dualbound = 2335550.927746, lowerbound=1133516.927746, norm of subgrad 1065.376425	dualbound = 2335550.927746, lowerbound=1133516.927746, norm of subgrad 41.516154	 stepsize= 1.000000 
-dualbound = 2335768.354822, lowerbound=1142014.354822, norm of subgrad 1069.341552	dualbound = 2335768.354822, lowerbound=1142014.354822, norm of subgrad 41.163419	 stepsize= 1.000000 
-dualbound = 2335966.514679, lowerbound=1134406.514679, norm of subgrad 1065.776484	dualbound = 2335966.514679, lowerbound=1134406.514679, norm of subgrad 40.879822	 stepsize= 1.000000 
-dualbound = 2336189.895415, lowerbound=1140769.895415, norm of subgrad 1068.778226	dualbound = 2336189.895415, lowerbound=1140769.895415, norm of subgrad 41.717871	 stepsize= 1.000000 
-dualbound = 2336395.857037, lowerbound=1137782.857037, norm of subgrad 1067.350391	dualbound = 2336395.857037, lowerbound=1137782.857037, norm of subgrad 40.742627	 stepsize= 1.000000 
-dualbound = 2336614.170881, lowerbound=1139033.170881, norm of subgrad 1067.950453	dualbound = 2336614.170881, lowerbound=1139033.170881, norm of subgrad 41.271223	 stepsize= 1.000000 
-dualbound = 2336819.273615, lowerbound=1139547.273615, norm of subgrad 1068.204228	dualbound = 2336819.273615, lowerbound=1139547.273615, norm of subgrad 41.450003	 stepsize= 1.000000 
-dualbound = 2337021.691497, lowerbound=1139398.691497, norm of subgrad 1068.144509	dualbound = 2337021.691497, lowerbound=1139398.691497, norm of subgrad 41.670348	 stepsize= 1.000000 
-dualbound = 2337232.022751, lowerbound=1135976.022751, norm of subgrad 1066.524272	dualbound = 2337232.022751, lowerbound=1135976.022751, norm of subgrad 41.331964	 stepsize= 1.000000 
-dualbound = 2337465.776515, lowerbound=1143779.776515, norm of subgrad 1070.161098	dualbound = 2337465.776515, lowerbound=1143779.776515, norm of subgrad 41.215941	 stepsize= 1.000000 
-dualbound = 2337684.944741, lowerbound=1139547.944741, norm of subgrad 1068.180202	dualbound = 2337684.944741, lowerbound=1139547.944741, norm of subgrad 40.989855	 stepsize= 1.000000 
-dualbound = 2337876.637882, lowerbound=1138046.637882, norm of subgrad 1067.515638	dualbound = 2337876.637882, lowerbound=1138046.637882, norm of subgrad 41.649648	 stepsize= 1.000000 
-dualbound = 2338069.336984, lowerbound=1139517.336984, norm of subgrad 1068.184599	dualbound = 2338069.336984, lowerbound=1139517.336984, norm of subgrad 41.154576	 stepsize= 1.000000 
-dualbound = 2338326.306619, lowerbound=1139024.306619, norm of subgrad 1067.954731	dualbound = 2338326.306619, lowerbound=1139024.306619, norm of subgrad 41.951992	 stepsize= 1.000000 
-dualbound = 2338504.160696, lowerbound=1136977.160696, norm of subgrad 1067.006636	dualbound = 2338504.160696, lowerbound=1136977.160696, norm of subgrad 41.277767	 stepsize= 1.000000 
-dualbound = 2338739.844395, lowerbound=1139603.844395, norm of subgrad 1068.217602	dualbound = 2338739.844395, lowerbound=1139603.844395, norm of subgrad 41.481125	 stepsize= 1.000000 
-dualbound = 2338945.942481, lowerbound=1135012.942481, norm of subgrad 1066.036558	dualbound = 2338945.942481, lowerbound=1135012.942481, norm of subgrad 40.337304	 stepsize= 1.000000 
-dualbound = 2339179.505549, lowerbound=1144565.505549, norm of subgrad 1070.552897	dualbound = 2339179.505549, lowerbound=1144565.505549, norm of subgrad 41.851679	 stepsize= 1.000000 
-dualbound = 2339354.137347, lowerbound=1134709.137347, norm of subgrad 1065.943309	dualbound = 2339354.137347, lowerbound=1134709.137347, norm of subgrad 41.238717	 stepsize= 1.000000 
-dualbound = 2339566.064254, lowerbound=1142505.064254, norm of subgrad 1069.586866	dualbound = 2339566.064254, lowerbound=1142505.064254, norm of subgrad 41.508155	 stepsize= 1.000000 
-dualbound = 2339779.412990, lowerbound=1138420.412990, norm of subgrad 1067.663998	dualbound = 2339779.412990, lowerbound=1138420.412990, norm of subgrad 41.223158	 stepsize= 1.000000 
-dualbound = 2339993.345521, lowerbound=1138991.345521, norm of subgrad 1067.944917	dualbound = 2339993.345521, lowerbound=1138991.345521, norm of subgrad 41.580434	 stepsize= 1.000000 
-dualbound = 2340216.480057, lowerbound=1139932.480057, norm of subgrad 1068.378435	dualbound = 2340216.480057, lowerbound=1139932.480057, norm of subgrad 41.510656	 stepsize= 1.000000 
-dualbound = 2340444.460467, lowerbound=1139511.460467, norm of subgrad 1068.162188	dualbound = 2340444.460467, lowerbound=1139511.460467, norm of subgrad 41.072867	 stepsize= 1.000000 
-dualbound = 2340630.971586, lowerbound=1139672.971586, norm of subgrad 1068.257914	dualbound = 2340630.971586, lowerbound=1139672.971586, norm of subgrad 41.091497	 stepsize= 1.000000 
-dualbound = 2340872.772247, lowerbound=1139269.772247, norm of subgrad 1068.024238	dualbound = 2340872.772247, lowerbound=1139269.772247, norm of subgrad 40.593111	 stepsize= 1.000000 
-dualbound = 2341094.248975, lowerbound=1138781.248975, norm of subgrad 1067.821263	dualbound = 2341094.248975, lowerbound=1138781.248975, norm of subgrad 41.018005	 stepsize= 1.000000 
-dualbound = 2341273.776562, lowerbound=1139214.776562, norm of subgrad 1068.069650	dualbound = 2341273.776562, lowerbound=1139214.776562, norm of subgrad 41.683661	 stepsize= 1.000000 
-dualbound = 2341474.914087, lowerbound=1142541.914087, norm of subgrad 1069.603157	dualbound = 2341474.914087, lowerbound=1142541.914087, norm of subgrad 41.353809	 stepsize= 1.000000 
-dualbound = 2341730.598021, lowerbound=1140037.598021, norm of subgrad 1068.390190	dualbound = 2341730.598021, lowerbound=1140037.598021, norm of subgrad 40.935119	 stepsize= 1.000000 
-dualbound = 2341929.718056, lowerbound=1140599.718056, norm of subgrad 1068.698142	dualbound = 2341929.718056, lowerbound=1140599.718056, norm of subgrad 41.414008	 stepsize= 1.000000 
-dualbound = 2342131.256208, lowerbound=1139325.256208, norm of subgrad 1068.095153	dualbound = 2342131.256208, lowerbound=1139325.256208, norm of subgrad 41.273940	 stepsize= 1.000000 
-dualbound = 2342317.956836, lowerbound=1138276.956836, norm of subgrad 1067.638495	dualbound = 2342317.956836, lowerbound=1138276.956836, norm of subgrad 41.972618	 stepsize= 1.000000 
-dualbound = 2342551.721591, lowerbound=1142707.721591, norm of subgrad 1069.704035	dualbound = 2342551.721591, lowerbound=1142707.721591, norm of subgrad 42.341053	 stepsize= 1.000000 
-dualbound = 2342728.691071, lowerbound=1134616.691071, norm of subgrad 1065.875551	dualbound = 2342728.691071, lowerbound=1134616.691071, norm of subgrad 40.632124	 stepsize= 1.000000 
-dualbound = 2343005.812475, lowerbound=1142691.812475, norm of subgrad 1069.629287	dualbound = 2343005.812475, lowerbound=1142691.812475, norm of subgrad 41.135403	 stepsize= 1.000000 
-dualbound = 2343166.160624, lowerbound=1135379.160624, norm of subgrad 1066.261300	dualbound = 2343166.160624, lowerbound=1135379.160624, norm of subgrad 41.162460	 stepsize= 1.000000 
-dualbound = 2343391.289376, lowerbound=1142741.289376, norm of subgrad 1069.668776	dualbound = 2343391.289376, lowerbound=1142741.289376, norm of subgrad 40.928337	 stepsize= 1.000000 
-dualbound = 2343624.634924, lowerbound=1136522.634924, norm of subgrad 1066.785656	dualbound = 2343624.634924, lowerbound=1136522.634924, norm of subgrad 41.741413	 stepsize= 1.000000 
-dualbound = 2343814.996946, lowerbound=1139037.996946, norm of subgrad 1067.955522	dualbound = 2343814.996946, lowerbound=1139037.996946, norm of subgrad 41.004415	 stepsize= 1.000000 
-dualbound = 2344035.851944, lowerbound=1142353.851944, norm of subgrad 1069.510567	dualbound = 2344035.851944, lowerbound=1142353.851944, norm of subgrad 41.471135	 stepsize= 1.000000 
-dualbound = 2344252.268471, lowerbound=1138727.268471, norm of subgrad 1067.768827	dualbound = 2344252.268471, lowerbound=1138727.268471, norm of subgrad 40.241975	 stepsize= 1.000000 
-dualbound = 2344477.483372, lowerbound=1139892.483372, norm of subgrad 1068.348016	dualbound = 2344477.483372, lowerbound=1139892.483372, norm of subgrad 41.233662	 stepsize= 1.000000 
-dualbound = 2344673.554647, lowerbound=1139614.554647, norm of subgrad 1068.233380	dualbound = 2344673.554647, lowerbound=1139614.554647, norm of subgrad 41.280398	 stepsize= 1.000000 
-dualbound = 2344888.543897, lowerbound=1141244.543897, norm of subgrad 1069.009141	dualbound = 2344888.543897, lowerbound=1141244.543897, norm of subgrad 41.844823	 stepsize= 1.000000 
-dualbound = 2345081.066126, lowerbound=1142173.066126, norm of subgrad 1069.424175	dualbound = 2345081.066126, lowerbound=1142173.066126, norm of subgrad 41.079462	 stepsize= 1.000000 
-dualbound = 2345315.744454, lowerbound=1139042.744454, norm of subgrad 1067.962427	dualbound = 2345315.744454, lowerbound=1139042.744454, norm of subgrad 41.661473	 stepsize= 1.000000 
-dualbound = 2345536.148678, lowerbound=1144759.148678, norm of subgrad 1070.603638	dualbound = 2345536.148678, lowerbound=1144759.148678, norm of subgrad 40.662074	 stepsize= 1.000000 
-dualbound = 2345721.653824, lowerbound=1135547.653824, norm of subgrad 1066.316395	dualbound = 2345721.653824, lowerbound=1135547.653824, norm of subgrad 40.847340	 stepsize= 1.000000 
-dualbound = 2345931.749207, lowerbound=1140933.749207, norm of subgrad 1068.838505	dualbound = 2345931.749207, lowerbound=1140933.749207, norm of subgrad 41.135087	 stepsize= 1.000000 
-dualbound = 2346143.717605, lowerbound=1140656.717605, norm of subgrad 1068.732295	dualbound = 2346143.717605, lowerbound=1140656.717605, norm of subgrad 41.760848	 stepsize= 1.000000 
-dualbound = 2346338.968110, lowerbound=1140805.968110, norm of subgrad 1068.789487	dualbound = 2346338.968110, lowerbound=1140805.968110, norm of subgrad 41.234094	 stepsize= 1.000000 
-dualbound = 2346559.815567, lowerbound=1135994.815567, norm of subgrad 1066.571524	dualbound = 2346559.815567, lowerbound=1135994.815567, norm of subgrad 42.436393	 stepsize= 1.000000 
-dualbound = 2346745.674864, lowerbound=1145972.674864, norm of subgrad 1071.236050	dualbound = 2346745.674864, lowerbound=1145972.674864, norm of subgrad 41.950677	 stepsize= 1.000000 
-dualbound = 2346968.626273, lowerbound=1134969.626273, norm of subgrad 1066.029374	dualbound = 2346968.626273, lowerbound=1134969.626273, norm of subgrad 40.889502	 stepsize= 1.000000 
-dualbound = 2347183.671626, lowerbound=1142926.671626, norm of subgrad 1069.781600	dualbound = 2347183.671626, lowerbound=1142926.671626, norm of subgrad 41.485484	 stepsize= 1.000000 
-dualbound = 2347400.476769, lowerbound=1141500.476769, norm of subgrad 1069.117616	dualbound = 2347400.476769, lowerbound=1141500.476769, norm of subgrad 41.578903	 stepsize= 1.000000 
-dualbound = 2347602.500319, lowerbound=1137671.500319, norm of subgrad 1067.322116	dualbound = 2347602.500319, lowerbound=1137671.500319, norm of subgrad 41.316142	 stepsize= 1.000000 
-dualbound = 2347834.420541, lowerbound=1142746.420541, norm of subgrad 1069.666500	dualbound = 2347834.420541, lowerbound=1142746.420541, norm of subgrad 40.889121	 stepsize= 1.000000 
-dualbound = 2348058.307166, lowerbound=1140914.307166, norm of subgrad 1068.803213	dualbound = 2348058.307166, lowerbound=1140914.307166, norm of subgrad 40.618796	 stepsize= 1.000000 
-dualbound = 2348260.309489, lowerbound=1136472.309489, norm of subgrad 1066.738632	dualbound = 2348260.309489, lowerbound=1136472.309489, norm of subgrad 40.755396	 stepsize= 1.000000 
-dualbound = 2348444.032991, lowerbound=1143967.032991, norm of subgrad 1070.292966	dualbound = 2348444.032991, lowerbound=1143967.032991, norm of subgrad 41.757915	 stepsize= 1.000000 
-dualbound = 2348673.505620, lowerbound=1139657.505620, norm of subgrad 1068.221656	dualbound = 2348673.505620, lowerbound=1139657.505620, norm of subgrad 40.859180	 stepsize= 1.000000 
-dualbound = 2348903.664942, lowerbound=1139757.664942, norm of subgrad 1068.301299	dualbound = 2348903.664942, lowerbound=1139757.664942, norm of subgrad 41.715217	 stepsize= 1.000000 
-dualbound = 2349076.846685, lowerbound=1142207.846685, norm of subgrad 1069.453060	dualbound = 2349076.846685, lowerbound=1142207.846685, norm of subgrad 41.172585	 stepsize= 1.000000 
-dualbound = 2349299.980807, lowerbound=1146175.980807, norm of subgrad 1071.285200	dualbound = 2349299.980807, lowerbound=1146175.980807, norm of subgrad 41.220555	 stepsize= 1.000000 
-dualbound = 2349524.350682, lowerbound=1137234.350682, norm of subgrad 1067.078887	dualbound = 2349524.350682, lowerbound=1137234.350682, norm of subgrad 40.587805	 stepsize= 1.000000 
-dualbound = 2349729.788671, lowerbound=1140809.788671, norm of subgrad 1068.758527	dualbound = 2349729.788671, lowerbound=1140809.788671, norm of subgrad 40.502321	 stepsize= 1.000000 
-dualbound = 2349959.685473, lowerbound=1140864.685473, norm of subgrad 1068.775320	dualbound = 2349959.685473, lowerbound=1140864.685473, norm of subgrad 40.569654	 stepsize= 1.000000 
-dualbound = 2350139.899975, lowerbound=1141488.899975, norm of subgrad 1069.093494	dualbound = 2350139.899975, lowerbound=1141488.899975, norm of subgrad 40.647442	 stepsize= 1.000000 
-dualbound = 2350358.969171, lowerbound=1139855.969171, norm of subgrad 1068.319226	dualbound = 2350358.969171, lowerbound=1139855.969171, norm of subgrad 40.854243	 stepsize= 1.000000 
-dualbound = 2350575.244634, lowerbound=1141663.244634, norm of subgrad 1069.201686	dualbound = 2350575.244634, lowerbound=1141663.244634, norm of subgrad 41.776494	 stepsize= 1.000000 
-dualbound = 2350738.166697, lowerbound=1136242.166697, norm of subgrad 1066.707629	dualbound = 2350738.166697, lowerbound=1136242.166697, norm of subgrad 42.260171	 stepsize= 1.000000 
-dualbound = 2350946.315678, lowerbound=1138107.315678, norm of subgrad 1067.531412	dualbound = 2350946.315678, lowerbound=1138107.315678, norm of subgrad 41.522873	 stepsize= 1.000000 
-dualbound = 2351205.764417, lowerbound=1146793.764416, norm of subgrad 1071.615493	dualbound = 2351205.764417, lowerbound=1146793.764416, norm of subgrad 42.725270	 stepsize= 1.000000 
-dualbound = 2351367.898655, lowerbound=1140547.898655, norm of subgrad 1068.661733	dualbound = 2351367.898655, lowerbound=1140547.898655, norm of subgrad 40.646454	 stepsize= 1.000000 
-dualbound = 2351628.906709, lowerbound=1141012.906709, norm of subgrad 1068.876469	dualbound = 2351628.906709, lowerbound=1141012.906709, norm of subgrad 41.773294	 stepsize= 1.000000 
-dualbound = 2351821.624766, lowerbound=1139274.624766, norm of subgrad 1068.069579	dualbound = 2351821.624766, lowerbound=1139274.624766, norm of subgrad 41.118342	 stepsize= 1.000000 
-dualbound = 2352042.356692, lowerbound=1137908.356692, norm of subgrad 1067.433537	dualbound = 2352042.356692, lowerbound=1137908.356692, norm of subgrad 41.553964	 stepsize= 1.000000 
-dualbound = 2352245.144115, lowerbound=1140610.144115, norm of subgrad 1068.720330	dualbound = 2352245.144115, lowerbound=1140610.144115, norm of subgrad 41.902117	 stepsize= 1.000000 
-dualbound = 2352449.855788, lowerbound=1143217.855788, norm of subgrad 1069.932641	dualbound = 2352449.855788, lowerbound=1143217.855788, norm of subgrad 41.745798	 stepsize= 1.000000 
-dualbound = 2352660.622961, lowerbound=1142124.622961, norm of subgrad 1069.441734	dualbound = 2352660.622961, lowerbound=1142124.622961, norm of subgrad 42.329271	 stepsize= 1.000000 
-dualbound = 2352883.825773, lowerbound=1137127.825773, norm of subgrad 1067.045841	dualbound = 2352883.825773, lowerbound=1137127.825773, norm of subgrad 41.014666	 stepsize= 1.000000 
-dualbound = 2353105.388735, lowerbound=1140580.388735, norm of subgrad 1068.693777	dualbound = 2353105.388735, lowerbound=1140580.388735, norm of subgrad 41.803863	 stepsize= 1.000000 
-dualbound = 2353283.288121, lowerbound=1141662.288121, norm of subgrad 1069.193288	dualbound = 2353283.288121, lowerbound=1141662.288121, norm of subgrad 41.108386	 stepsize= 1.000000 
-dualbound = 2353539.968134, lowerbound=1139115.968134, norm of subgrad 1067.956445	dualbound = 2353539.968134, lowerbound=1139115.968134, norm of subgrad 40.886184	 stepsize= 1.000000 
-dualbound = 2353751.732624, lowerbound=1142098.732624, norm of subgrad 1069.374459	dualbound = 2353751.732624, lowerbound=1142098.732624, norm of subgrad 40.923887	 stepsize= 1.000000 
-dualbound = 2353954.118571, lowerbound=1137798.118571, norm of subgrad 1067.361288	dualbound = 2353954.118571, lowerbound=1137798.118571, norm of subgrad 40.796886	 stepsize= 1.000000 
-dualbound = 2354143.255636, lowerbound=1139781.255636, norm of subgrad 1068.309532	dualbound = 2354143.255636, lowerbound=1139781.255636, norm of subgrad 41.147747	 stepsize= 1.000000 
-dualbound = 2354363.041229, lowerbound=1142609.041229, norm of subgrad 1069.616306	dualbound = 2354363.041229, lowerbound=1142609.041229, norm of subgrad 41.107002	 stepsize= 1.000000 
-dualbound = 2354570.243772, lowerbound=1142091.243772, norm of subgrad 1069.349449	dualbound = 2354570.243772, lowerbound=1142091.243772, norm of subgrad 40.301396	 stepsize= 1.000000 
-dualbound = 2354773.177571, lowerbound=1139786.177571, norm of subgrad 1068.315112	dualbound = 2354773.177571, lowerbound=1139786.177571, norm of subgrad 41.399684	 stepsize= 1.000000 
-dualbound = 2354964.736357, lowerbound=1142866.736357, norm of subgrad 1069.767609	dualbound = 2354964.736357, lowerbound=1142866.736357, norm of subgrad 41.563912	 stepsize= 1.000000 
-dualbound = 2355173.424181, lowerbound=1143796.424181, norm of subgrad 1070.203450	dualbound = 2355173.424181, lowerbound=1143796.424181, norm of subgrad 41.805356	 stepsize= 1.000000 
-dualbound = 2355391.004391, lowerbound=1143439.004391, norm of subgrad 1070.007946	dualbound = 2355391.004391, lowerbound=1143439.004391, norm of subgrad 41.177424	 stepsize= 1.000000 
-dualbound = 2355600.793828, lowerbound=1140696.793828, norm of subgrad 1068.750576	dualbound = 2355600.793828, lowerbound=1140696.793828, norm of subgrad 41.722769	 stepsize= 1.000000 
-dualbound = 2355804.326240, lowerbound=1137098.326240, norm of subgrad 1067.040452	dualbound = 2355804.326240, lowerbound=1137098.326240, norm of subgrad 40.994297	 stepsize= 1.000000 
-dualbound = 2356014.342171, lowerbound=1140936.342171, norm of subgrad 1068.856090	dualbound = 2356014.342171, lowerbound=1140936.342171, norm of subgrad 41.557381	 stepsize= 1.000000 
-dualbound = 2356242.327127, lowerbound=1140390.327127, norm of subgrad 1068.551041	dualbound = 2356242.327127, lowerbound=1140390.327127, norm of subgrad 40.484379	 stepsize= 1.000000 
-dualbound = 2356467.588246, lowerbound=1143381.588246, norm of subgrad 1069.968966	dualbound = 2356467.588246, lowerbound=1143381.588246, norm of subgrad 40.954379	 stepsize= 1.000000 
-dualbound = 2356668.017202, lowerbound=1137350.017202, norm of subgrad 1067.162601	dualbound = 2356668.017202, lowerbound=1137350.017202, norm of subgrad 41.066153	 stepsize= 1.000000 
-dualbound = 2356861.710184, lowerbound=1146864.710184, norm of subgrad 1071.621067	dualbound = 2356861.710184, lowerbound=1146864.710184, norm of subgrad 41.239459	 stepsize= 1.000000 
-dualbound = 2357072.062761, lowerbound=1140827.062761, norm of subgrad 1068.785321	dualbound = 2357072.062761, lowerbound=1140827.062761, norm of subgrad 41.053046	 stepsize= 1.000000 
-dualbound = 2357275.846709, lowerbound=1138969.846709, norm of subgrad 1067.939065	dualbound = 2357275.846709, lowerbound=1138969.846709, norm of subgrad 41.566621	 stepsize= 1.000000 
-dualbound = 2357465.136560, lowerbound=1137518.136560, norm of subgrad 1067.242773	dualbound = 2357465.136560, lowerbound=1137518.136560, norm of subgrad 40.966936	 stepsize= 1.000000 
-dualbound = 2357724.777697, lowerbound=1145866.777697, norm of subgrad 1071.129674	dualbound = 2357724.777697, lowerbound=1145866.777697, norm of subgrad 41.371985	 stepsize= 1.000000 
-dualbound = 2357928.322482, lowerbound=1137739.322482, norm of subgrad 1067.310790	dualbound = 2357928.322482, lowerbound=1137739.322482, norm of subgrad 40.206278	 stepsize= 1.000000 
-dualbound = 2358143.647287, lowerbound=1141799.647287, norm of subgrad 1069.241155	dualbound = 2358143.647287, lowerbound=1141799.647287, norm of subgrad 41.137876	 stepsize= 1.000000 
-dualbound = 2358337.427025, lowerbound=1145679.427025, norm of subgrad 1071.082362	dualbound = 2358337.427025, lowerbound=1145679.427025, norm of subgrad 41.614658	 stepsize= 1.000000 
-dualbound = 2358529.237386, lowerbound=1139871.237386, norm of subgrad 1068.365685	dualbound = 2358529.237386, lowerbound=1139871.237386, norm of subgrad 41.542874	 stepsize= 1.000000 
-dualbound = 2358739.458599, lowerbound=1138439.458599, norm of subgrad 1067.674791	dualbound = 2358739.458599, lowerbound=1138439.458599, norm of subgrad 41.233739	 stepsize= 1.000000 
-dualbound = 2358952.817596, lowerbound=1141072.817596, norm of subgrad 1068.927882	dualbound = 2358952.817596, lowerbound=1141072.817596, norm of subgrad 41.801423	 stepsize= 1.000000 
-dualbound = 2359167.281397, lowerbound=1142397.281397, norm of subgrad 1069.531805	dualbound = 2359167.281397, lowerbound=1142397.281397, norm of subgrad 41.418158	 stepsize= 1.000000 
-dualbound = 2359399.462726, lowerbound=1141051.462726, norm of subgrad 1068.899183	dualbound = 2359399.462726, lowerbound=1141051.462726, norm of subgrad 41.547338	 stepsize= 1.000000 
-dualbound = 2359605.459013, lowerbound=1142032.459013, norm of subgrad 1069.335522	dualbound = 2359605.459013, lowerbound=1142032.459013, norm of subgrad 40.644757	 stepsize= 1.000000 
-dualbound = 2359834.575838, lowerbound=1140276.575838, norm of subgrad 1068.533376	dualbound = 2359834.575838, lowerbound=1140276.575838, norm of subgrad 41.426040	 stepsize= 1.000000 
-dualbound = 2359981.175170, lowerbound=1140862.175170, norm of subgrad 1068.809700	dualbound = 2359981.175170, lowerbound=1140862.175170, norm of subgrad 40.479616	 stepsize= 1.000000 
-dualbound = 2360229.429828, lowerbound=1139683.429828, norm of subgrad 1068.272170	dualbound = 2360229.429828, lowerbound=1139683.429828, norm of subgrad 42.074394	 stepsize= 1.000000 
-dualbound = 2360412.937741, lowerbound=1141248.937741, norm of subgrad 1069.034582	dualbound = 2360412.937741, lowerbound=1141248.937741, norm of subgrad 42.065519	 stepsize= 1.000000 
-dualbound = 2360626.101591, lowerbound=1140503.101591, norm of subgrad 1068.638901	dualbound = 2360626.101591, lowerbound=1140503.101591, norm of subgrad 41.220915	 stepsize= 1.000000 
-dualbound = 2360845.274741, lowerbound=1141993.274741, norm of subgrad 1069.301770	dualbound = 2360845.274741, lowerbound=1141993.274741, norm of subgrad 40.400163	 stepsize= 1.000000 
-dualbound = 2361094.218884, lowerbound=1144566.218884, norm of subgrad 1070.523806	dualbound = 2361094.218884, lowerbound=1144566.218884, norm of subgrad 41.278858	 stepsize= 1.000000 
-dualbound = 2361258.843067, lowerbound=1141938.843067, norm of subgrad 1069.305309	dualbound = 2361258.843067, lowerbound=1141938.843067, norm of subgrad 40.492273	 stepsize= 1.000000 
-dualbound = 2361473.528178, lowerbound=1139679.528178, norm of subgrad 1068.265196	dualbound = 2361473.528178, lowerbound=1139679.528178, norm of subgrad 41.541366	 stepsize= 1.000000 
-dualbound = 2361670.498347, lowerbound=1139236.498347, norm of subgrad 1068.064838	dualbound = 2361670.498347, lowerbound=1139236.498347, norm of subgrad 41.508676	 stepsize= 1.000000 
-dualbound = 2361892.082027, lowerbound=1141621.082027, norm of subgrad 1069.161392	dualbound = 2361892.082027, lowerbound=1141621.082027, norm of subgrad 41.310818	 stepsize= 1.000000 
-dualbound = 2362108.686415, lowerbound=1141373.686415, norm of subgrad 1069.029320	dualbound = 2362108.686415, lowerbound=1141373.686415, norm of subgrad 40.824066	 stepsize= 1.000000 
-dualbound = 2362344.858572, lowerbound=1143282.858572, norm of subgrad 1069.927502	dualbound = 2362344.858572, lowerbound=1143282.858572, norm of subgrad 41.208884	 stepsize= 1.000000 
-dualbound = 2362526.776976, lowerbound=1141562.776976, norm of subgrad 1069.122433	dualbound = 2362526.776976, lowerbound=1141562.776976, norm of subgrad 40.520592	 stepsize= 1.000000 
-dualbound = 2362746.364979, lowerbound=1143979.364979, norm of subgrad 1070.276770	dualbound = 2362746.364979, lowerbound=1143979.364979, norm of subgrad 41.624368	 stepsize= 1.000000 
-dualbound = 2362922.624938, lowerbound=1147505.624938, norm of subgrad 1071.947119	dualbound = 2362922.624938, lowerbound=1147505.624938, norm of subgrad 41.728407	 stepsize= 1.000000 
-dualbound = 2363146.895286, lowerbound=1135152.895286, norm of subgrad 1066.135496	dualbound = 2363146.895286, lowerbound=1135152.895286, norm of subgrad 41.427893	 stepsize= 1.000000 
-dualbound = 2363366.671260, lowerbound=1140032.671260, norm of subgrad 1068.415964	dualbound = 2363366.671260, lowerbound=1140032.671260, norm of subgrad 41.228339	 stepsize= 1.000000 
-dualbound = 2363577.052037, lowerbound=1139716.052037, norm of subgrad 1068.268249	dualbound = 2363577.052037, lowerbound=1139716.052037, norm of subgrad 41.126400	 stepsize= 1.000000 
-dualbound = 2363763.488802, lowerbound=1145601.488802, norm of subgrad 1071.041777	dualbound = 2363763.488802, lowerbound=1145601.488802, norm of subgrad 41.417831	 stepsize= 1.000000 
-dualbound = 2363994.381926, lowerbound=1141494.381926, norm of subgrad 1069.103541	dualbound = 2363994.381926, lowerbound=1141494.381926, norm of subgrad 41.459536	 stepsize= 1.000000 
-dualbound = 2364197.348701, lowerbound=1142860.348701, norm of subgrad 1069.734242	dualbound = 2364197.348701, lowerbound=1142860.348701, norm of subgrad 40.914139	 stepsize= 1.000000 
-dualbound = 2364412.090186, lowerbound=1141050.090186, norm of subgrad 1068.868135	dualbound = 2364412.090186, lowerbound=1141050.090186, norm of subgrad 40.543082	 stepsize= 1.000000 
-dualbound = 2364642.691501, lowerbound=1138849.691501, norm of subgrad 1067.873444	dualbound = 2364642.691501, lowerbound=1138849.691501, norm of subgrad 41.648545	 stepsize= 1.000000 
-dualbound = 2364812.973473, lowerbound=1142944.973473, norm of subgrad 1069.784545	dualbound = 2364812.973473, lowerbound=1142944.973473, norm of subgrad 40.795612	 stepsize= 1.000000 
-dualbound = 2365037.585419, lowerbound=1145958.585419, norm of subgrad 1071.180930	dualbound = 2365037.585419, lowerbound=1145958.585419, norm of subgrad 41.165665	 stepsize= 1.000000 
-dualbound = 2365257.220365, lowerbound=1136122.220365, norm of subgrad 1066.556712	dualbound = 2365257.220365, lowerbound=1136122.220365, norm of subgrad 40.504752	 stepsize= 1.000000 
-dualbound = 2365483.298676, lowerbound=1144554.298676, norm of subgrad 1070.509364	dualbound = 2365483.298676, lowerbound=1144554.298676, norm of subgrad 40.768595	 stepsize= 1.000000 
-dualbound = 2365666.107342, lowerbound=1142715.107342, norm of subgrad 1069.689257	dualbound = 2365666.107342, lowerbound=1142715.107342, norm of subgrad 41.265102	 stepsize= 1.000000 
-dualbound = 2365842.955926, lowerbound=1143855.955926, norm of subgrad 1070.227992	dualbound = 2365842.955926, lowerbound=1143855.955926, norm of subgrad 41.338222	 stepsize= 1.000000 
-dualbound = 2366076.138736, lowerbound=1139564.138736, norm of subgrad 1068.193868	dualbound = 2366076.138736, lowerbound=1139564.138736, norm of subgrad 41.318069	 stepsize= 1.000000 
-dualbound = 2366302.772508, lowerbound=1141678.772508, norm of subgrad 1069.178083	dualbound = 2366302.772508, lowerbound=1141678.772508, norm of subgrad 41.105155	 stepsize= 1.000000 
-dualbound = 2366499.096083, lowerbound=1144072.096083, norm of subgrad 1070.328966	dualbound = 2366499.096083, lowerbound=1144072.096083, norm of subgrad 41.573111	 stepsize= 1.000000 
-dualbound = 2366702.753821, lowerbound=1139255.753821, norm of subgrad 1068.050445	dualbound = 2366702.753821, lowerbound=1139255.753821, norm of subgrad 40.983628	 stepsize= 1.000000 
-dualbound = 2366916.815608, lowerbound=1140836.815608, norm of subgrad 1068.825437	dualbound = 2366916.815608, lowerbound=1140836.815608, norm of subgrad 42.012638	 stepsize= 1.000000 
-dualbound = 2367099.779043, lowerbound=1144750.779043, norm of subgrad 1070.637557	dualbound = 2367099.779043, lowerbound=1144750.779043, norm of subgrad 41.194216	 stepsize= 1.000000 
-dualbound = 2367339.339487, lowerbound=1136844.339487, norm of subgrad 1066.960796	dualbound = 2367339.339487, lowerbound=1136844.339487, norm of subgrad 42.433011	 stepsize= 1.000000 
-dualbound = 2367503.319014, lowerbound=1144396.319014, norm of subgrad 1070.472475	dualbound = 2367503.319014, lowerbound=1144396.319014, norm of subgrad 40.975353	 stepsize= 1.000000 
-dualbound = 2367735.698085, lowerbound=1139564.698085, norm of subgrad 1068.217065	dualbound = 2367735.698085, lowerbound=1139564.698085, norm of subgrad 41.897244	 stepsize= 1.000000 
-dualbound = 2367964.847111, lowerbound=1145065.847111, norm of subgrad 1070.752468	dualbound = 2367964.847111, lowerbound=1145065.847111, norm of subgrad 40.916366	 stepsize= 1.000000 
-dualbound = 2368159.350937, lowerbound=1143617.350937, norm of subgrad 1070.071657	dualbound = 2368159.350937, lowerbound=1143617.350937, norm of subgrad 40.379498	 stepsize= 1.000000 
-dualbound = 2368358.856710, lowerbound=1144994.856710, norm of subgrad 1070.778155	dualbound = 2368358.856710, lowerbound=1144994.856710, norm of subgrad 42.077378	 stepsize= 1.000000 
-dualbound = 2368569.590891, lowerbound=1139280.590891, norm of subgrad 1068.061604	dualbound = 2368569.590891, lowerbound=1139280.590891, norm of subgrad 41.057693	 stepsize= 1.000000 
-dualbound = 2368796.144750, lowerbound=1141322.144750, norm of subgrad 1068.998197	dualbound = 2368796.144750, lowerbound=1141322.144750, norm of subgrad 40.762162	 stepsize= 1.000000 
-dualbound = 2369029.439049, lowerbound=1141746.439049, norm of subgrad 1069.212065	dualbound = 2369029.439049, lowerbound=1141746.439049, norm of subgrad 41.246749	 stepsize= 1.000000 
-dualbound = 2369199.104589, lowerbound=1145724.104589, norm of subgrad 1071.108353	dualbound = 2369199.104589, lowerbound=1145724.104589, norm of subgrad 41.456791	 stepsize= 1.000000 
-dualbound = 2369402.424457, lowerbound=1141417.424457, norm of subgrad 1069.097014	dualbound = 2369402.424457, lowerbound=1141417.424457, norm of subgrad 41.884602	 stepsize= 1.000000 
-dualbound = 2369637.350024, lowerbound=1141326.350024, norm of subgrad 1069.029162	dualbound = 2369637.350024, lowerbound=1141326.350024, norm of subgrad 41.616410	 stepsize= 1.000000 
-dualbound = 2369815.042798, lowerbound=1145666.042798, norm of subgrad 1071.043436	dualbound = 2369815.042798, lowerbound=1145666.042798, norm of subgrad 40.567139	 stepsize= 1.000000 
-dualbound = 2370057.639427, lowerbound=1144500.639428, norm of subgrad 1070.519799	dualbound = 2370057.639427, lowerbound=1144500.639428, norm of subgrad 41.887906	 stepsize= 1.000000 
-dualbound = 2370234.709915, lowerbound=1142471.709915, norm of subgrad 1069.584831	dualbound = 2370234.709915, lowerbound=1142471.709915, norm of subgrad 41.437549	 stepsize= 1.000000 
-dualbound = 2370458.246900, lowerbound=1138793.246900, norm of subgrad 1067.844205	dualbound = 2370458.246900, lowerbound=1138793.246900, norm of subgrad 41.491409	 stepsize= 1.000000 
-dualbound = 2370682.249435, lowerbound=1145498.249435, norm of subgrad 1070.963701	dualbound = 2370682.249435, lowerbound=1145498.249435, norm of subgrad 41.097476	 stepsize= 1.000000 
-dualbound = 2370866.784292, lowerbound=1136242.784292, norm of subgrad 1066.658232	dualbound = 2370866.784292, lowerbound=1136242.784292, norm of subgrad 41.249665	 stepsize= 1.000000 
-dualbound = 2371073.253746, lowerbound=1144682.253746, norm of subgrad 1070.605088	dualbound = 2371073.253746, lowerbound=1144682.253746, norm of subgrad 41.466486	 stepsize= 1.000000 
-dualbound = 2371303.690248, lowerbound=1143082.690248, norm of subgrad 1069.846573	dualbound = 2371303.690248, lowerbound=1143082.690248, norm of subgrad 41.466089	 stepsize= 1.000000 
-dualbound = 2371504.917835, lowerbound=1143769.917835, norm of subgrad 1070.143410	dualbound = 2371504.917835, lowerbound=1143769.917835, norm of subgrad 40.475024	 stepsize= 1.000000 
-dualbound = 2371719.718145, lowerbound=1138799.718145, norm of subgrad 1067.851449	dualbound = 2371719.718145, lowerbound=1138799.718145, norm of subgrad 41.494582	 stepsize= 1.000000 
-dualbound = 2371898.649253, lowerbound=1144582.649253, norm of subgrad 1070.580053	dualbound = 2371898.649253, lowerbound=1144582.649253, norm of subgrad 41.688501	 stepsize= 1.000000 
-dualbound = 2372120.819875, lowerbound=1140744.819875, norm of subgrad 1068.764155	dualbound = 2372120.819875, lowerbound=1140744.819875, norm of subgrad 41.643374	 stepsize= 1.000000 
-dualbound = 2372328.181628, lowerbound=1143423.181628, norm of subgrad 1070.006627	dualbound = 2372328.181628, lowerbound=1143423.181628, norm of subgrad 41.211185	 stepsize= 1.000000 
-dualbound = 2372548.672467, lowerbound=1143605.672467, norm of subgrad 1070.077881	dualbound = 2372548.672467, lowerbound=1143605.672467, norm of subgrad 41.005985	 stepsize= 1.000000 
-dualbound = 2372776.159852, lowerbound=1140134.159852, norm of subgrad 1068.462989	dualbound = 2372776.159852, lowerbound=1140134.159852, norm of subgrad 41.309652	 stepsize= 1.000000 
-dualbound = 2372970.646872, lowerbound=1143446.646872, norm of subgrad 1070.005442	dualbound = 2372970.646872, lowerbound=1143446.646872, norm of subgrad 40.736802	 stepsize= 1.000000 
-dualbound = 2373157.376187, lowerbound=1142936.376187, norm of subgrad 1069.781462	dualbound = 2373157.376187, lowerbound=1142936.376187, norm of subgrad 41.021084	 stepsize= 1.000000 
-dualbound = 2373390.898048, lowerbound=1143278.898048, norm of subgrad 1069.927987	dualbound = 2373390.898048, lowerbound=1143278.898048, norm of subgrad 41.237384	 stepsize= 1.000000 
-dualbound = 2373580.524735, lowerbound=1141367.524735, norm of subgrad 1069.040001	dualbound = 2373580.524735, lowerbound=1141367.524735, norm of subgrad 40.848827	 stepsize= 1.000000 
-dualbound = 2373794.426169, lowerbound=1145248.426169, norm of subgrad 1070.882545	dualbound = 2373794.426169, lowerbound=1145248.426169, norm of subgrad 41.891544	 stepsize= 1.000000 
-dualbound = 2373974.005381, lowerbound=1143616.005381, norm of subgrad 1070.125696	dualbound = 2373974.005381, lowerbound=1143616.005381, norm of subgrad 41.624262	 stepsize= 1.000000 
-dualbound = 2374175.017653, lowerbound=1147002.017653, norm of subgrad 1071.677665	dualbound = 2374175.017653, lowerbound=1147002.017653, norm of subgrad 41.134077	 stepsize= 1.000000 
-dualbound = 2374407.175918, lowerbound=1136789.175918, norm of subgrad 1066.914793	dualbound = 2374407.175918, lowerbound=1136789.175918, norm of subgrad 41.834893	 stepsize= 1.000000 
-dualbound = 2374604.061018, lowerbound=1146131.061018, norm of subgrad 1071.289438	dualbound = 2374604.061018, lowerbound=1146131.061018, norm of subgrad 41.555807	 stepsize= 1.000000 
-dualbound = 2374812.764555, lowerbound=1137155.764555, norm of subgrad 1067.052372	dualbound = 2374812.764555, lowerbound=1137155.764555, norm of subgrad 40.665754	 stepsize= 1.000000 
-dualbound = 2375056.615653, lowerbound=1143642.615653, norm of subgrad 1070.075519	dualbound = 2375056.615653, lowerbound=1143642.615653, norm of subgrad 40.778071	 stepsize= 1.000000 
-dualbound = 2375260.966837, lowerbound=1143304.966837, norm of subgrad 1069.951385	dualbound = 2375260.966837, lowerbound=1143304.966837, norm of subgrad 41.174642	 stepsize= 1.000000 
-dualbound = 2375458.855346, lowerbound=1142603.855346, norm of subgrad 1069.612012	dualbound = 2375458.855346, lowerbound=1142603.855346, norm of subgrad 40.790790	 stepsize= 1.000000 
-dualbound = 2375666.424598, lowerbound=1145917.424598, norm of subgrad 1071.160317	dualbound = 2375666.424598, lowerbound=1145917.424598, norm of subgrad 40.921501	 stepsize= 1.000000 
-dualbound = 2375864.982231, lowerbound=1141114.982231, norm of subgrad 1068.929363	dualbound = 2375864.982231, lowerbound=1141114.982231, norm of subgrad 41.152857	 stepsize= 1.000000 
-dualbound = 2376057.680398, lowerbound=1141696.680398, norm of subgrad 1069.236027	dualbound = 2376057.680398, lowerbound=1141696.680398, norm of subgrad 41.972588	 stepsize= 1.000000 
-dualbound = 2376243.447002, lowerbound=1146678.447002, norm of subgrad 1071.534622	dualbound = 2376243.447002, lowerbound=1146678.447002, norm of subgrad 41.155396	 stepsize= 1.000000 
-dualbound = 2376477.976250, lowerbound=1135498.976250, norm of subgrad 1066.316077	dualbound = 2376477.976250, lowerbound=1135498.976250, norm of subgrad 42.018201	 stepsize= 1.000000 
-dualbound = 2376708.275244, lowerbound=1142498.275244, norm of subgrad 1069.583692	dualbound = 2376708.275244, lowerbound=1142498.275244, norm of subgrad 41.728875	 stepsize= 1.000000 
-dualbound = 2376896.470442, lowerbound=1143706.470442, norm of subgrad 1070.123577	dualbound = 2376896.470442, lowerbound=1143706.470442, norm of subgrad 40.573331	 stepsize= 1.000000 
-dualbound = 2377130.477896, lowerbound=1141929.477896, norm of subgrad 1069.284096	dualbound = 2377130.477896, lowerbound=1141929.477896, norm of subgrad 40.902414	 stepsize= 1.000000 
-dualbound = 2377316.108446, lowerbound=1144006.108446, norm of subgrad 1070.300009	dualbound = 2377316.108446, lowerbound=1144006.108446, norm of subgrad 41.492536	 stepsize= 1.000000 
-dualbound = 2377536.672107, lowerbound=1144654.672107, norm of subgrad 1070.576327	dualbound = 2377536.672107, lowerbound=1144654.672107, norm of subgrad 41.225765	 stepsize= 1.000000 
-dualbound = 2377720.905765, lowerbound=1143047.905765, norm of subgrad 1069.863031	dualbound = 2377720.905765, lowerbound=1143047.905765, norm of subgrad 41.752050	 stepsize= 1.000000 
-dualbound = 2377933.574070, lowerbound=1144524.574070, norm of subgrad 1070.499684	dualbound = 2377933.574070, lowerbound=1144524.574070, norm of subgrad 40.714473	 stepsize= 1.000000 
-dualbound = 2378180.875625, lowerbound=1147422.875625, norm of subgrad 1071.820823	dualbound = 2378180.875625, lowerbound=1147422.875625, norm of subgrad 40.302625	 stepsize= 1.000000 
-dualbound = 2378379.384932, lowerbound=1136832.384932, norm of subgrad 1066.939260	dualbound = 2378379.384932, lowerbound=1136832.384932, norm of subgrad 41.539250	 stepsize= 1.000000 
-dualbound = 2378538.191993, lowerbound=1146749.191993, norm of subgrad 1071.560634	dualbound = 2378538.191993, lowerbound=1146749.191993, norm of subgrad 40.642429	 stepsize= 1.000000 
-dualbound = 2378767.876373, lowerbound=1141543.876373, norm of subgrad 1069.117803	dualbound = 2378767.876373, lowerbound=1141543.876373, norm of subgrad 41.215099	 stepsize= 1.000000 
-dualbound = 2378966.250266, lowerbound=1142778.250266, norm of subgrad 1069.699140	dualbound = 2378966.250266, lowerbound=1142778.250266, norm of subgrad 40.943545	 stepsize= 1.000000 
-dualbound = 2379187.572848, lowerbound=1143039.572848, norm of subgrad 1069.839975	dualbound = 2379187.572848, lowerbound=1143039.572848, norm of subgrad 41.705187	 stepsize= 1.000000 
-dualbound = 2379389.587688, lowerbound=1142745.587688, norm of subgrad 1069.715190	dualbound = 2379389.587688, lowerbound=1142745.587688, norm of subgrad 41.797307	 stepsize= 1.000000 
-dualbound = 2379586.817705, lowerbound=1141900.817705, norm of subgrad 1069.305764	dualbound = 2379586.817705, lowerbound=1141900.817705, norm of subgrad 41.367016	 stepsize= 1.000000 
-dualbound = 2379811.842123, lowerbound=1145855.842123, norm of subgrad 1071.151176	dualbound = 2379811.842123, lowerbound=1145855.842123, norm of subgrad 41.641619	 stepsize= 1.000000 
-dualbound = 2380013.093576, lowerbound=1139056.093576, norm of subgrad 1067.947140	dualbound = 2380013.093576, lowerbound=1139056.093576, norm of subgrad 40.697069	 stepsize= 1.000000 
-dualbound = 2380234.198378, lowerbound=1142330.198378, norm of subgrad 1069.487353	dualbound = 2380234.198378, lowerbound=1142330.198378, norm of subgrad 41.159504	 stepsize= 1.000000 
-dualbound = 2380424.268231, lowerbound=1146357.268231, norm of subgrad 1071.416011	dualbound = 2380424.268231, lowerbound=1146357.268231, norm of subgrad 42.012734	 stepsize= 1.000000 
-dualbound = 2380596.095950, lowerbound=1145467.095950, norm of subgrad 1070.991641	dualbound = 2380596.095950, lowerbound=1145467.095950, norm of subgrad 41.567147	 stepsize= 1.000000 
-dualbound = 2380836.529333, lowerbound=1143173.529333, norm of subgrad 1069.899775	dualbound = 2380836.529333, lowerbound=1143173.529333, norm of subgrad 41.862076	 stepsize= 1.000000 
-dualbound = 2381050.522950, lowerbound=1143505.522950, norm of subgrad 1070.038561	dualbound = 2381050.522950, lowerbound=1143505.522950, norm of subgrad 41.121693	 stepsize= 1.000000 
-dualbound = 2381247.845508, lowerbound=1144494.845508, norm of subgrad 1070.483931	dualbound = 2381247.845508, lowerbound=1144494.845508, norm of subgrad 40.476197	 stepsize= 1.000000 
-dualbound = 2381499.992750, lowerbound=1143681.992750, norm of subgrad 1070.103263	dualbound = 2381499.992750, lowerbound=1143681.992750, norm of subgrad 41.123561	 stepsize= 1.000000 
-dualbound = 2381691.878289, lowerbound=1148534.878289, norm of subgrad 1072.383270	dualbound = 2381691.878289, lowerbound=1148534.878289, norm of subgrad 40.778494	 stepsize= 1.000000 
-dualbound = 2381883.124386, lowerbound=1145051.124386, norm of subgrad 1070.769408	dualbound = 2381883.124386, lowerbound=1145051.124386, norm of subgrad 41.076101	 stepsize= 1.000000 
-dualbound = 2382072.985540, lowerbound=1141231.985540, norm of subgrad 1068.986429	dualbound = 2382072.985540, lowerbound=1141231.985540, norm of subgrad 41.107921	 stepsize= 1.000000 
-dualbound = 2382284.523985, lowerbound=1141642.523985, norm of subgrad 1069.170952	dualbound = 2382284.523985, lowerbound=1141642.523985, norm of subgrad 41.176916	 stepsize= 1.000000 
-dualbound = 2382503.675750, lowerbound=1139218.675750, norm of subgrad 1068.028406	dualbound = 2382503.675750, lowerbound=1139218.675750, norm of subgrad 41.050600	 stepsize= 1.000000 
-dualbound = 2382699.604358, lowerbound=1147152.604358, norm of subgrad 1071.752585	dualbound = 2382699.604358, lowerbound=1147152.604358, norm of subgrad 41.193793	 stepsize= 1.000000 
-dualbound = 2382910.593426, lowerbound=1142235.593426, norm of subgrad 1069.443123	dualbound = 2382910.593426, lowerbound=1142235.593426, norm of subgrad 41.036436	 stepsize= 1.000000 
-dualbound = 2383122.954463, lowerbound=1147660.954463, norm of subgrad 1072.001844	dualbound = 2383122.954463, lowerbound=1147660.954463, norm of subgrad 41.705648	 stepsize= 1.000000 
-dualbound = 2383325.262249, lowerbound=1145338.262249, norm of subgrad 1070.932893	dualbound = 2383325.262249, lowerbound=1145338.262249, norm of subgrad 41.967938	 stepsize= 1.000000 
-dualbound = 2383525.994107, lowerbound=1143931.994107, norm of subgrad 1070.253705	dualbound = 2383525.994107, lowerbound=1143931.994107, norm of subgrad 41.373081	 stepsize= 1.000000 
-dualbound = 2383737.733720, lowerbound=1141649.733720, norm of subgrad 1069.205188	dualbound = 2383737.733720, lowerbound=1141649.733720, norm of subgrad 41.973082	 stepsize= 1.000000 
-dualbound = 2383925.873049, lowerbound=1145821.873049, norm of subgrad 1071.149790	dualbound = 2383925.873049, lowerbound=1145821.873049, norm of subgrad 41.570895	 stepsize= 1.000000 
-dualbound = 2384159.588497, lowerbound=1137609.588497, norm of subgrad 1067.282338	dualbound = 2384159.588497, lowerbound=1137609.588497, norm of subgrad 41.421196	 stepsize= 1.000000 
-dualbound = 2384382.171303, lowerbound=1143446.171303, norm of subgrad 1070.036995	dualbound = 2384382.171303, lowerbound=1143446.171303, norm of subgrad 41.899675	 stepsize= 1.000000 
-dualbound = 2384574.602746, lowerbound=1149334.602746, norm of subgrad 1072.773789	dualbound = 2384574.602746, lowerbound=1149334.602746, norm of subgrad 41.248411	 stepsize= 1.000000 
-dualbound = 2384777.582629, lowerbound=1144452.582629, norm of subgrad 1070.495485	dualbound = 2384777.582629, lowerbound=1144452.582629, norm of subgrad 41.363993	 stepsize= 1.000000 
-dualbound = 2384970.191669, lowerbound=1142469.191669, norm of subgrad 1069.580381	dualbound = 2384970.191669, lowerbound=1142469.191669, norm of subgrad 41.540451	 stepsize= 1.000000 
-dualbound = 2385181.834979, lowerbound=1140666.834979, norm of subgrad 1068.753870	dualbound = 2385181.834979, lowerbound=1140666.834979, norm of subgrad 42.185819	 stepsize= 1.000000 
-dualbound = 2385383.269853, lowerbound=1146276.269853, norm of subgrad 1071.338541	dualbound = 2385383.269853, lowerbound=1146276.269853, norm of subgrad 41.127058	 stepsize= 1.000000 
-dualbound = 2385627.872252, lowerbound=1143217.872252, norm of subgrad 1069.910684	dualbound = 2385627.872252, lowerbound=1143217.872252, norm of subgrad 41.660562	 stepsize= 1.000000 
-dualbound = 2385787.258540, lowerbound=1143957.258540, norm of subgrad 1070.266443	dualbound = 2385787.258540, lowerbound=1143957.258540, norm of subgrad 40.894820	 stepsize= 1.000000 
-dualbound = 2386030.261545, lowerbound=1146419.261545, norm of subgrad 1071.401074	dualbound = 2386030.261545, lowerbound=1146419.261545, norm of subgrad 41.521115	 stepsize= 1.000000 
-dualbound = 2386221.547502, lowerbound=1139994.547502, norm of subgrad 1068.367702	dualbound = 2386221.547502, lowerbound=1139994.547502, norm of subgrad 40.078497	 stepsize= 1.000000 
-dualbound = 2386463.818857, lowerbound=1149969.818857, norm of subgrad 1073.033466	dualbound = 2386463.818857, lowerbound=1149969.818857, norm of subgrad 40.905640	 stepsize= 1.000000 
-dualbound = 2386657.721170, lowerbound=1139001.721170, norm of subgrad 1067.934324	dualbound = 2386657.721170, lowerbound=1139001.721170, norm of subgrad 40.937786	 stepsize= 1.000000 
-dualbound = 2386832.771295, lowerbound=1147837.771295, norm of subgrad 1072.077782	dualbound = 2386832.771295, lowerbound=1147837.771295, norm of subgrad 41.085887	 stepsize= 1.000000 
-dualbound = 2387028.704257, lowerbound=1143450.704257, norm of subgrad 1070.013413	dualbound = 2387028.704257, lowerbound=1143450.704257, norm of subgrad 40.913726	 stepsize= 1.000000 
-dualbound = 2387273.129296, lowerbound=1144396.129296, norm of subgrad 1070.453703	dualbound = 2387273.129296, lowerbound=1144396.129296, norm of subgrad 41.465950	 stepsize= 1.000000 
-dualbound = 2387451.263494, lowerbound=1146426.263494, norm of subgrad 1071.438875	dualbound = 2387451.263494, lowerbound=1146426.263494, norm of subgrad 41.630928	 stepsize= 1.000000 
-dualbound = 2387665.124131, lowerbound=1143955.124131, norm of subgrad 1070.237415	dualbound = 2387665.124131, lowerbound=1143955.124131, norm of subgrad 40.827205	 stepsize= 1.000000 
-dualbound = 2387873.404309, lowerbound=1144732.404309, norm of subgrad 1070.611229	dualbound = 2387873.404309, lowerbound=1144732.404309, norm of subgrad 41.039983	 stepsize= 1.000000 
-dualbound = 2388092.010432, lowerbound=1143271.010432, norm of subgrad 1069.929442	dualbound = 2388092.010432, lowerbound=1143271.010432, norm of subgrad 41.189879	 stepsize= 1.000000 
-dualbound = 2388293.069793, lowerbound=1146319.069793, norm of subgrad 1071.366917	dualbound = 2388293.069793, lowerbound=1146319.069793, norm of subgrad 41.340771	 stepsize= 1.000000 
-dualbound = 2388488.497521, lowerbound=1144935.497521, norm of subgrad 1070.739229	dualbound = 2388488.497521, lowerbound=1144935.497521, norm of subgrad 41.742397	 stepsize= 1.000000 
-dualbound = 2388687.665924, lowerbound=1145454.665924, norm of subgrad 1070.955959	dualbound = 2388687.665924, lowerbound=1145454.665924, norm of subgrad 41.123818	 stepsize= 1.000000 
-dualbound = 2388898.429851, lowerbound=1145032.429851, norm of subgrad 1070.772819	dualbound = 2388898.429851, lowerbound=1145032.429851, norm of subgrad 41.626481	 stepsize= 1.000000 
-dualbound = 2389121.627111, lowerbound=1147057.627111, norm of subgrad 1071.713874	dualbound = 2389121.627111, lowerbound=1147057.627111, norm of subgrad 41.667700	 stepsize= 1.000000 
-dualbound = 2389333.680296, lowerbound=1142768.680296, norm of subgrad 1069.701678	dualbound = 2389333.680296, lowerbound=1142768.680296, norm of subgrad 41.292290	 stepsize= 1.000000 
-dualbound = 2389521.659741, lowerbound=1141736.659741, norm of subgrad 1069.198139	dualbound = 2389521.659741, lowerbound=1141736.659741, norm of subgrad 40.447243	 stepsize= 1.000000 
-dualbound = 2389752.406869, lowerbound=1147110.406869, norm of subgrad 1071.724501	dualbound = 2389752.406869, lowerbound=1147110.406869, norm of subgrad 41.397429	 stepsize= 1.000000 
-dualbound = 2389919.253885, lowerbound=1145658.253885, norm of subgrad 1071.084149	dualbound = 2389919.253885, lowerbound=1145658.253885, norm of subgrad 41.591430	 stepsize= 1.000000 
-dualbound = 2390130.239491, lowerbound=1148665.239491, norm of subgrad 1072.444050	dualbound = 2390130.239491, lowerbound=1148665.239491, norm of subgrad 41.012018	 stepsize= 1.000000 
-dualbound = 2390359.636645, lowerbound=1142160.636645, norm of subgrad 1069.408545	dualbound = 2390359.636645, lowerbound=1142160.636645, norm of subgrad 41.272232	 stepsize= 1.000000 
-dualbound = 2390538.487590, lowerbound=1150878.487590, norm of subgrad 1073.522467	dualbound = 2390538.487590, lowerbound=1150878.487590, norm of subgrad 41.843171	 stepsize= 1.000000 
-dualbound = 2390740.942051, lowerbound=1143413.942051, norm of subgrad 1070.019599	dualbound = 2390740.942051, lowerbound=1143413.942051, norm of subgrad 41.598731	 stepsize= 1.000000 
-dualbound = 2390949.832839, lowerbound=1146127.832839, norm of subgrad 1071.307534	dualbound = 2390949.832839, lowerbound=1146127.832839, norm of subgrad 42.200602	 stepsize= 1.000000 
-dualbound = 2391160.674333, lowerbound=1142197.674333, norm of subgrad 1069.434745	dualbound = 2391160.674333, lowerbound=1142197.674333, norm of subgrad 41.277615	 stepsize= 1.000000 
-dualbound = 2391376.618186, lowerbound=1147454.618186, norm of subgrad 1071.876214	dualbound = 2391376.618186, lowerbound=1147454.618186, norm of subgrad 40.987118	 stepsize= 1.000000 
-dualbound = 2391581.621760, lowerbound=1145480.621760, norm of subgrad 1070.957339	dualbound = 2391581.621760, lowerbound=1145480.621760, norm of subgrad 40.914589	 stepsize= 1.000000 
-dualbound = 2391788.848366, lowerbound=1142473.848366, norm of subgrad 1069.556847	dualbound = 2391788.848366, lowerbound=1142473.848366, norm of subgrad 41.051512	 stepsize= 1.000000 
-dualbound = 2391999.863442, lowerbound=1144077.863442, norm of subgrad 1070.308303	dualbound = 2391999.863442, lowerbound=1144077.863442, norm of subgrad 41.146264	 stepsize= 1.000000 
-dualbound = 2392184.304251, lowerbound=1146380.304251, norm of subgrad 1071.390827	dualbound = 2392184.304251, lowerbound=1146380.304251, norm of subgrad 41.017567	 stepsize= 1.000000 
-dualbound = 2392396.727164, lowerbound=1143300.727164, norm of subgrad 1069.976975	dualbound = 2392396.727164, lowerbound=1143300.727164, norm of subgrad 41.981221	 stepsize= 1.000000 
-dualbound = 2392600.189686, lowerbound=1146832.189686, norm of subgrad 1071.595628	dualbound = 2392600.189686, lowerbound=1146832.189686, norm of subgrad 41.090906	 stepsize= 1.000000 
-dualbound = 2392837.495809, lowerbound=1148827.495809, norm of subgrad 1072.501979	dualbound = 2392837.495809, lowerbound=1148827.495809, norm of subgrad 40.869379	 stepsize= 1.000000 
-dualbound = 2393031.331272, lowerbound=1145237.331272, norm of subgrad 1070.866159	dualbound = 2393031.331272, lowerbound=1145237.331272, norm of subgrad 41.362247	 stepsize= 1.000000 
-dualbound = 2393222.444737, lowerbound=1144289.444737, norm of subgrad 1070.417416	dualbound = 2393222.444737, lowerbound=1144289.444737, norm of subgrad 41.171756	 stepsize= 1.000000 
-dualbound = 2393433.532788, lowerbound=1145157.532788, norm of subgrad 1070.856915	dualbound = 2393433.532788, lowerbound=1145157.532788, norm of subgrad 42.285790	 stepsize= 1.000000 
-dualbound = 2393598.698631, lowerbound=1146360.698631, norm of subgrad 1071.405011	dualbound = 2393598.698631, lowerbound=1146360.698631, norm of subgrad 41.390408	 stepsize= 1.000000 
-dualbound = 2393851.637389, lowerbound=1147480.637389, norm of subgrad 1071.903744	dualbound = 2393851.637389, lowerbound=1147480.637389, norm of subgrad 41.832269	 stepsize= 1.000000 
-dualbound = 2394066.521284, lowerbound=1144332.521284, norm of subgrad 1070.439873	dualbound = 2394066.521284, lowerbound=1144332.521284, norm of subgrad 41.519681	 stepsize= 1.000000 
-dualbound = 2394256.591798, lowerbound=1144524.591798, norm of subgrad 1070.515573	dualbound = 2394256.591798, lowerbound=1144524.591798, norm of subgrad 40.854259	 stepsize= 1.000000 
-dualbound = 2394474.375820, lowerbound=1145536.375820, norm of subgrad 1070.991772	dualbound = 2394474.375820, lowerbound=1145536.375820, norm of subgrad 41.289030	 stepsize= 1.000000 
-dualbound = 2394671.348813, lowerbound=1147162.348813, norm of subgrad 1071.735671	dualbound = 2394671.348813, lowerbound=1147162.348813, norm of subgrad 40.644471	 stepsize= 1.000000 
-dualbound = 2394885.418599, lowerbound=1144444.418599, norm of subgrad 1070.475791	dualbound = 2394885.418599, lowerbound=1144444.418599, norm of subgrad 41.086126	 stepsize= 1.000000 
-dualbound = 2395097.095658, lowerbound=1143343.095658, norm of subgrad 1069.981820	dualbound = 2395097.095658, lowerbound=1143343.095658, norm of subgrad 41.589386	 stepsize= 1.000000 
-dualbound = 2395284.847031, lowerbound=1144077.847031, norm of subgrad 1070.329784	dualbound = 2395284.847031, lowerbound=1144077.847031, norm of subgrad 41.421629	 stepsize= 1.000000 
-dualbound = 2395485.159863, lowerbound=1148720.159863, norm of subgrad 1072.472452	dualbound = 2395485.159863, lowerbound=1148720.159863, norm of subgrad 40.955010	 stepsize= 1.000000 
-dualbound = 2395710.281826, lowerbound=1143111.281826, norm of subgrad 1069.854795	dualbound = 2395710.281826, lowerbound=1143111.281826, norm of subgrad 41.268898	 stepsize= 1.000000 
-dualbound = 2395915.140260, lowerbound=1145287.140260, norm of subgrad 1070.868405	dualbound = 2395915.140260, lowerbound=1145287.140260, norm of subgrad 40.949462	 stepsize= 1.000000 
-dualbound = 2396121.502548, lowerbound=1146175.502548, norm of subgrad 1071.277976	dualbound = 2396121.502548, lowerbound=1146175.502548, norm of subgrad 40.833348	 stepsize= 1.000000 
-dualbound = 2396324.394015, lowerbound=1153050.394015, norm of subgrad 1074.534036	dualbound = 2396324.394015, lowerbound=1153050.394015, norm of subgrad 42.141327	 stepsize= 1.000000 
-dualbound = 2396517.790016, lowerbound=1143201.790016, norm of subgrad 1069.905038	dualbound = 2396517.790016, lowerbound=1143201.790016, norm of subgrad 41.090096	 stepsize= 1.000000 
-dualbound = 2396739.069478, lowerbound=1144197.069478, norm of subgrad 1070.359318	dualbound = 2396739.069478, lowerbound=1144197.069478, norm of subgrad 41.149477	 stepsize= 1.000000 
-dualbound = 2396919.135875, lowerbound=1145916.135875, norm of subgrad 1071.190056	dualbound = 2396919.135875, lowerbound=1145916.135875, norm of subgrad 41.377124	 stepsize= 1.000000 
-dualbound = 2397135.259460, lowerbound=1150652.259460, norm of subgrad 1073.360731	dualbound = 2397135.259460, lowerbound=1150652.259460, norm of subgrad 40.830425	 stepsize= 1.000000 
-dualbound = 2397359.414283, lowerbound=1142699.414283, norm of subgrad 1069.644995	dualbound = 2397359.414283, lowerbound=1142699.414283, norm of subgrad 40.806309	 stepsize= 1.000000 
-dualbound = 2397555.245090, lowerbound=1146899.245090, norm of subgrad 1071.638113	dualbound = 2397555.245090, lowerbound=1146899.245090, norm of subgrad 41.289597	 stepsize= 1.000000 
-dualbound = 2397731.443139, lowerbound=1146320.443139, norm of subgrad 1071.390892	dualbound = 2397731.443139, lowerbound=1146320.443139, norm of subgrad 41.643704	 stepsize= 1.000000 
-dualbound = 2397939.693443, lowerbound=1152814.693443, norm of subgrad 1074.440177	dualbound = 2397939.693443, lowerbound=1152814.693443, norm of subgrad 42.605754	 stepsize= 1.000000 
-dualbound = 2398126.012946, lowerbound=1145083.012946, norm of subgrad 1070.829124	dualbound = 2398126.012946, lowerbound=1145083.012946, norm of subgrad 42.170126	 stepsize= 1.000000 
-dualbound = 2398371.296402, lowerbound=1143594.296402, norm of subgrad 1070.057146	dualbound = 2398371.296402, lowerbound=1143594.296402, norm of subgrad 40.905788	 stepsize= 1.000000 
-dualbound = 2398562.826613, lowerbound=1145976.826613, norm of subgrad 1071.199714	dualbound = 2398562.826613, lowerbound=1145976.826613, norm of subgrad 41.030845	 stepsize= 1.000000 
-dualbound = 2398766.557306, lowerbound=1144705.557306, norm of subgrad 1070.618306	dualbound = 2398766.557306, lowerbound=1144705.557306, norm of subgrad 41.493743	 stepsize= 1.000000 
-dualbound = 2398963.969232, lowerbound=1151831.969232, norm of subgrad 1073.921305	dualbound = 2398963.969232, lowerbound=1151831.969232, norm of subgrad 40.895133	 stepsize= 1.000000 
-dualbound = 2399186.378470, lowerbound=1145884.378470, norm of subgrad 1071.134155	dualbound = 2399186.378470, lowerbound=1145884.378470, norm of subgrad 40.821676	 stepsize= 1.000000 
-dualbound = 2399392.633288, lowerbound=1144106.633288, norm of subgrad 1070.308195	dualbound = 2399392.633288, lowerbound=1144106.633288, norm of subgrad 40.733952	 stepsize= 1.000000 
-dualbound = 2399591.948094, lowerbound=1147598.948094, norm of subgrad 1071.967326	dualbound = 2399591.948094, lowerbound=1147598.948094, norm of subgrad 41.404285	 stepsize= 1.000000 
-dualbound = 2399797.145646, lowerbound=1151301.145646, norm of subgrad 1073.711854	dualbound = 2399797.145646, lowerbound=1151301.145646, norm of subgrad 41.966624	 stepsize= 1.000000 
-dualbound = 2399982.214308, lowerbound=1151223.214308, norm of subgrad 1073.645758	dualbound = 2399982.214308, lowerbound=1151223.214308, norm of subgrad 40.952029	 stepsize= 1.000000 
-dualbound = 2400213.634926, lowerbound=1148051.634926, norm of subgrad 1072.184049	dualbound = 2400213.634926, lowerbound=1148051.634926, norm of subgrad 41.933526	 stepsize= 1.000000 
-dualbound = 2400379.468933, lowerbound=1143077.468933, norm of subgrad 1069.837123	dualbound = 2400379.468933, lowerbound=1143077.468933, norm of subgrad 40.494864	 stepsize= 1.000000 
-dualbound = 2400626.036735, lowerbound=1147409.036735, norm of subgrad 1071.883873	dualbound = 2400626.036735, lowerbound=1147409.036735, norm of subgrad 42.101874	 stepsize= 1.000000 
-dualbound = 2400803.135984, lowerbound=1149616.135984, norm of subgrad 1072.903134	dualbound = 2400803.135984, lowerbound=1149616.135984, norm of subgrad 41.013403	 stepsize= 1.000000 
-dualbound = 2401009.706334, lowerbound=1142162.706334, norm of subgrad 1069.408578	dualbound = 2401009.706334, lowerbound=1142162.706334, norm of subgrad 40.970359	 stepsize= 1.000000 
-dualbound = 2401236.533056, lowerbound=1149537.533056, norm of subgrad 1072.855784	dualbound = 2401236.533056, lowerbound=1149537.533056, norm of subgrad 41.337957	 stepsize= 1.000000 
-dualbound = 2401441.555203, lowerbound=1147690.555203, norm of subgrad 1072.011453	dualbound = 2401441.555203, lowerbound=1147690.555203, norm of subgrad 41.509302	 stepsize= 1.000000 
-dualbound = 2401625.409712, lowerbound=1146956.409712, norm of subgrad 1071.675515	dualbound = 2401625.409712, lowerbound=1146956.409712, norm of subgrad 41.422874	 stepsize= 1.000000 
-dualbound = 2401839.461121, lowerbound=1147686.461121, norm of subgrad 1072.018872	dualbound = 2401839.461121, lowerbound=1147686.461121, norm of subgrad 41.857513	 stepsize= 1.000000 
-dualbound = 2402041.092710, lowerbound=1148740.092710, norm of subgrad 1072.473353	dualbound = 2402041.092710, lowerbound=1148740.092710, norm of subgrad 40.750848	 stepsize= 1.000000 
-dualbound = 2402257.769737, lowerbound=1145019.769737, norm of subgrad 1070.730484	dualbound = 2402257.769737, lowerbound=1145019.769737, norm of subgrad 40.751405	 stepsize= 1.000000 
-dualbound = 2402459.368746, lowerbound=1149804.368746, norm of subgrad 1072.990386	dualbound = 2402459.368746, lowerbound=1149804.368746, norm of subgrad 41.298898	 stepsize= 1.000000 
-dualbound = 2402654.018102, lowerbound=1149177.018102, norm of subgrad 1072.681229	dualbound = 2402654.018102, lowerbound=1149177.018102, norm of subgrad 40.775598	 stepsize= 1.000000 
-dualbound = 2402848.510268, lowerbound=1146484.510268, norm of subgrad 1071.455790	dualbound = 2402848.510268, lowerbound=1146484.510268, norm of subgrad 41.563111	 stepsize= 1.000000 
-dualbound = 2403062.590135, lowerbound=1148133.590135, norm of subgrad 1072.191489	dualbound = 2403062.590135, lowerbound=1148133.590135, norm of subgrad 40.927740	 stepsize= 1.000000 
-dualbound = 2403267.270094, lowerbound=1149820.270094, norm of subgrad 1073.026221	dualbound = 2403267.270094, lowerbound=1149820.270094, norm of subgrad 42.067564	 stepsize= 1.000000 
-dualbound = 2403424.868988, lowerbound=1146012.868988, norm of subgrad 1071.239408	dualbound = 2403424.868988, lowerbound=1146012.868988, norm of subgrad 41.214062	 stepsize= 1.000000 
-dualbound = 2403661.357939, lowerbound=1146347.357939, norm of subgrad 1071.415119	dualbound = 2403661.357939, lowerbound=1146347.357939, norm of subgrad 42.655468	 stepsize= 1.000000 
-dualbound = 2403844.627324, lowerbound=1144768.627324, norm of subgrad 1070.645426	dualbound = 2403844.627324, lowerbound=1144768.627324, norm of subgrad 41.185791	 stepsize= 1.000000 
-dualbound = 2404082.837879, lowerbound=1150452.837879, norm of subgrad 1073.269229	dualbound = 2404082.837879, lowerbound=1150452.837879, norm of subgrad 41.136487	 stepsize= 1.000000 
-dualbound = 2404300.239286, lowerbound=1144416.239286, norm of subgrad 1070.466365	dualbound = 2404300.239286, lowerbound=1144416.239286, norm of subgrad 41.223797	 stepsize= 1.000000 
-dualbound = 2404479.192792, lowerbound=1149754.192792, norm of subgrad 1072.922734	dualbound = 2404479.192792, lowerbound=1149754.192792, norm of subgrad 39.849134	 stepsize= 1.000000 
-dualbound = 2404721.901694, lowerbound=1147872.901694, norm of subgrad 1072.040532	dualbound = 2404721.901694, lowerbound=1147872.901694, norm of subgrad 40.505665	 stepsize= 1.000000 
-dualbound = 2404902.107825, lowerbound=1151159.107825, norm of subgrad 1073.605658	dualbound = 2404902.107825, lowerbound=1151159.107825, norm of subgrad 40.622729	 stepsize= 1.000000 
-dualbound = 2405100.874606, lowerbound=1147799.874606, norm of subgrad 1072.040519	dualbound = 2405100.874606, lowerbound=1147799.874606, norm of subgrad 40.862780	 stepsize= 1.000000 
-dualbound = 2405296.440576, lowerbound=1150057.440576, norm of subgrad 1073.109240	dualbound = 2405296.440576, lowerbound=1150057.440576, norm of subgrad 41.250042	 stepsize= 1.000000 
-dualbound = 2405503.279136, lowerbound=1146040.279136, norm of subgrad 1071.247534	dualbound = 2405503.279136, lowerbound=1146040.279136, norm of subgrad 41.687391	 stepsize= 1.000000 
-dualbound = 2405681.482671, lowerbound=1148932.482671, norm of subgrad 1072.584954	dualbound = 2405681.482671, lowerbound=1148932.482671, norm of subgrad 41.039049	 stepsize= 1.000000 
-dualbound = 2405910.647877, lowerbound=1151085.647877, norm of subgrad 1073.563993	dualbound = 2405910.647877, lowerbound=1151085.647877, norm of subgrad 41.026396	 stepsize= 1.000000 
-dualbound = 2406121.684352, lowerbound=1147664.684352, norm of subgrad 1071.997054	dualbound = 2406121.684352, lowerbound=1147664.684352, norm of subgrad 41.521518	 stepsize= 1.000000 
-dualbound = 2406291.971312, lowerbound=1148795.971312, norm of subgrad 1072.500336	dualbound = 2406291.971312, lowerbound=1148795.971312, norm of subgrad 40.389194	 stepsize= 1.000000 
-dualbound = 2406515.128249, lowerbound=1148407.128249, norm of subgrad 1072.333497	dualbound = 2406515.128249, lowerbound=1148407.128249, norm of subgrad 41.414453	 stepsize= 1.000000 
-dualbound = 2406723.163685, lowerbound=1146639.163685, norm of subgrad 1071.513959	dualbound = 2406723.163685, lowerbound=1146639.163685, norm of subgrad 41.364664	 stepsize= 1.000000 
-dualbound = 2406919.352747, lowerbound=1149102.352747, norm of subgrad 1072.689309	dualbound = 2406919.352747, lowerbound=1149102.352747, norm of subgrad 41.906909	 stepsize= 1.000000 
-dualbound = 2407098.073902, lowerbound=1150121.073902, norm of subgrad 1073.113262	dualbound = 2407098.073902, lowerbound=1150121.073902, norm of subgrad 40.369805	 stepsize= 1.000000 
-dualbound = 2407337.048459, lowerbound=1148111.048459, norm of subgrad 1072.187506	dualbound = 2407337.048459, lowerbound=1148111.048459, norm of subgrad 41.400176	 stepsize= 1.000000 
-dualbound = 2407510.078798, lowerbound=1147406.078798, norm of subgrad 1071.870365	dualbound = 2407510.078798, lowerbound=1147406.078798, norm of subgrad 40.902694	 stepsize= 1.000000 
-dualbound = 2407726.171004, lowerbound=1150345.171004, norm of subgrad 1073.248420	dualbound = 2407726.171004, lowerbound=1150345.171004, norm of subgrad 41.630424	 stepsize= 1.000000 
-dualbound = 2407914.001964, lowerbound=1147528.001964, norm of subgrad 1071.916975	dualbound = 2407914.001964, lowerbound=1147528.001964, norm of subgrad 40.814592	 stepsize= 1.000000 
-dualbound = 2408138.692493, lowerbound=1148431.692493, norm of subgrad 1072.361270	dualbound = 2408138.692493, lowerbound=1148431.692493, norm of subgrad 41.853202	 stepsize= 1.000000 
-dualbound = 2408309.869912, lowerbound=1148746.869912, norm of subgrad 1072.506816	dualbound = 2408309.869912, lowerbound=1148746.869912, norm of subgrad 41.172532	 stepsize= 1.000000 
-dualbound = 2408520.128308, lowerbound=1150802.128308, norm of subgrad 1073.478052	dualbound = 2408520.128308, lowerbound=1150802.128308, norm of subgrad 41.991170	 stepsize= 1.000000 
-dualbound = 2408718.363876, lowerbound=1144726.363876, norm of subgrad 1070.663049	dualbound = 2408718.363876, lowerbound=1144726.363876, norm of subgrad 42.322991	 stepsize= 1.000000 
-dualbound = 2408907.719451, lowerbound=1151972.719451, norm of subgrad 1074.024543	dualbound = 2408907.719451, lowerbound=1151972.719451, norm of subgrad 41.777453	 stepsize= 1.000000 
-dualbound = 2409130.163257, lowerbound=1147909.163257, norm of subgrad 1072.083562	dualbound = 2409130.163257, lowerbound=1147909.163257, norm of subgrad 40.944399	 stepsize= 1.000000 
-dualbound = 2409372.358675, lowerbound=1148874.358675, norm of subgrad 1072.547602	dualbound = 2409372.358675, lowerbound=1148874.358675, norm of subgrad 41.547508	 stepsize= 1.000000 
-dualbound = 2409518.276256, lowerbound=1147848.276256, norm of subgrad 1072.093875	dualbound = 2409518.276256, lowerbound=1147848.276256, norm of subgrad 41.023378	 stepsize= 1.000000 
-dualbound = 2409733.930114, lowerbound=1147058.930114, norm of subgrad 1071.700952	dualbound = 2409733.930114, lowerbound=1147058.930114, norm of subgrad 41.226858	 stepsize= 1.000000 
-dualbound = 2409948.639999, lowerbound=1147852.639999, norm of subgrad 1072.082385	dualbound = 2409948.639999, lowerbound=1147852.639999, norm of subgrad 41.505540	 stepsize= 1.000000 
-dualbound = 2410152.945658, lowerbound=1149740.945658, norm of subgrad 1072.930075	dualbound = 2410152.945658, lowerbound=1149740.945658, norm of subgrad 40.525371	 stepsize= 1.000000 
-dualbound = 2410369.648606, lowerbound=1151911.648606, norm of subgrad 1073.952815	dualbound = 2410369.648606, lowerbound=1151911.648606, norm of subgrad 40.984179	 stepsize= 1.000000 
-dualbound = 2410557.543828, lowerbound=1147218.543828, norm of subgrad 1071.757222	dualbound = 2410557.543828, lowerbound=1147218.543828, norm of subgrad 40.409098	 stepsize= 1.000000 
-dualbound = 2410768.969322, lowerbound=1147604.969322, norm of subgrad 1071.982728	dualbound = 2410768.969322, lowerbound=1147604.969322, norm of subgrad 41.873924	 stepsize= 1.000000 
-dualbound = 2410949.362905, lowerbound=1152595.362905, norm of subgrad 1074.276670	dualbound = 2410949.362905, lowerbound=1152595.362905, norm of subgrad 40.686528	 stepsize= 1.000000 
-dualbound = 2411196.179506, lowerbound=1147729.179506, norm of subgrad 1071.986091	dualbound = 2411196.179506, lowerbound=1147729.179506, norm of subgrad 40.887854	 stepsize= 1.000000 
-dualbound = 2411359.606244, lowerbound=1148898.606244, norm of subgrad 1072.561237	dualbound = 2411359.606244, lowerbound=1148898.606244, norm of subgrad 40.650052	 stepsize= 1.000000 
-dualbound = 2411589.597397, lowerbound=1150706.597397, norm of subgrad 1073.391167	dualbound = 2411589.597397, lowerbound=1150706.597397, norm of subgrad 41.133820	 stepsize= 1.000000 
-dualbound = 2411755.941664, lowerbound=1145426.941664, norm of subgrad 1070.956555	dualbound = 2411755.941664, lowerbound=1145426.941664, norm of subgrad 41.077296	 stepsize= 1.000000 
-dualbound = 2411971.610803, lowerbound=1145625.610803, norm of subgrad 1071.021760	dualbound = 2411971.610803, lowerbound=1145625.610803, norm of subgrad 40.959360	 stepsize= 1.000000 
-dualbound = 2412187.483031, lowerbound=1150651.483031, norm of subgrad 1073.376673	dualbound = 2412187.483031, lowerbound=1150651.483031, norm of subgrad 41.253754	 stepsize= 1.000000 
-dualbound = 2412375.691349, lowerbound=1150767.691349, norm of subgrad 1073.470396	dualbound = 2412375.691349, lowerbound=1150767.691349, norm of subgrad 41.942917	 stepsize= 1.000000 
-dualbound = 2412549.498861, lowerbound=1147768.498861, norm of subgrad 1072.050138	dualbound = 2412549.498861, lowerbound=1147768.498861, norm of subgrad 41.192323	 stepsize= 1.000000 
-dualbound = 2412789.926432, lowerbound=1144373.926432, norm of subgrad 1070.463884	dualbound = 2412789.926432, lowerbound=1144373.926432, norm of subgrad 41.945531	 stepsize= 1.000000 
-dualbound = 2412968.546842, lowerbound=1150657.546842, norm of subgrad 1073.420955	dualbound = 2412968.546842, lowerbound=1150657.546842, norm of subgrad 41.876251	 stepsize= 1.000000 
-dualbound = 2413159.406696, lowerbound=1147337.406696, norm of subgrad 1071.817805	dualbound = 2413159.406696, lowerbound=1147337.406696, norm of subgrad 40.581521	 stepsize= 1.000000 
-dualbound = 2413417.225347, lowerbound=1150749.225347, norm of subgrad 1073.400776	dualbound = 2413417.225347, lowerbound=1150749.225347, norm of subgrad 41.204595	 stepsize= 1.000000 
-dualbound = 2413612.527030, lowerbound=1145807.527030, norm of subgrad 1071.117887	dualbound = 2413612.527030, lowerbound=1145807.527030, norm of subgrad 41.003679	 stepsize= 1.000000 
-dualbound = 2413780.073082, lowerbound=1153088.073082, norm of subgrad 1074.548311	dualbound = 2413780.073082, lowerbound=1153088.073082, norm of subgrad 41.635875	 stepsize= 1.000000 
-dualbound = 2413966.605707, lowerbound=1146896.605707, norm of subgrad 1071.660677	dualbound = 2413966.605707, lowerbound=1146896.605707, norm of subgrad 41.791538	 stepsize= 1.000000 
-dualbound = 2414173.729480, lowerbound=1149097.729480, norm of subgrad 1072.674102	dualbound = 2414173.729480, lowerbound=1149097.729480, norm of subgrad 41.702803	 stepsize= 1.000000 
-dualbound = 2414392.636047, lowerbound=1149073.636047, norm of subgrad 1072.652617	dualbound = 2414392.636047, lowerbound=1149073.636047, norm of subgrad 41.580122	 stepsize= 1.000000 
-dualbound = 2414592.732673, lowerbound=1156159.732673, norm of subgrad 1075.958053	dualbound = 2414592.732673, lowerbound=1156159.732673, norm of subgrad 41.546319	 stepsize= 1.000000 
-dualbound = 2414786.062362, lowerbound=1149462.062362, norm of subgrad 1072.822009	dualbound = 2414786.062362, lowerbound=1149462.062362, norm of subgrad 40.967422	 stepsize= 1.000000 
-dualbound = 2415013.170786, lowerbound=1150586.170786, norm of subgrad 1073.343920	dualbound = 2415013.170786, lowerbound=1150586.170786, norm of subgrad 41.329268	 stepsize= 1.000000 
-dualbound = 2415191.326650, lowerbound=1143726.326650, norm of subgrad 1070.142666	dualbound = 2415191.326650, lowerbound=1143726.326650, norm of subgrad 40.708179	 stepsize= 1.000000 
-dualbound = 2415419.029492, lowerbound=1151732.029492, norm of subgrad 1073.859874	dualbound = 2415419.029492, lowerbound=1151732.029492, norm of subgrad 40.874232	 stepsize= 1.000000 
-dualbound = 2415611.076137, lowerbound=1145843.076137, norm of subgrad 1071.127479	dualbound = 2415611.076137, lowerbound=1145843.076137, norm of subgrad 40.780469	 stepsize= 1.000000 
-dualbound = 2415801.196100, lowerbound=1152256.196100, norm of subgrad 1074.136489	dualbound = 2415801.196100, lowerbound=1152256.196100, norm of subgrad 41.268874	 stepsize= 1.000000 
-dualbound = 2416009.406272, lowerbound=1148276.406272, norm of subgrad 1072.274874	dualbound = 2416009.406272, lowerbound=1148276.406272, norm of subgrad 41.294191	 stepsize= 1.000000 
-dualbound = 2416220.315043, lowerbound=1154225.315043, norm of subgrad 1075.050378	dualbound = 2416220.315043, lowerbound=1154225.315043, norm of subgrad 41.459725	 stepsize= 1.000000 
-dualbound = 2416412.956404, lowerbound=1147046.956404, norm of subgrad 1071.724758	dualbound = 2416412.956404, lowerbound=1147046.956404, norm of subgrad 41.709008	 stepsize= 1.000000 
-dualbound = 2416597.565212, lowerbound=1151875.565212, norm of subgrad 1073.980710	dualbound = 2416597.565212, lowerbound=1151875.565212, norm of subgrad 41.756542	 stepsize= 1.000000 
-dualbound = 2416823.428634, lowerbound=1143002.428634, norm of subgrad 1069.829159	dualbound = 2416823.428634, lowerbound=1143002.428634, norm of subgrad 41.926882	 stepsize= 1.000000 
-dualbound = 2417003.151729, lowerbound=1151137.151729, norm of subgrad 1073.612664	dualbound = 2417003.151729, lowerbound=1151137.151729, norm of subgrad 41.069735	 stepsize= 1.000000 
-dualbound = 2417239.877434, lowerbound=1147440.877434, norm of subgrad 1071.889396	dualbound = 2417239.877434, lowerbound=1147440.877434, norm of subgrad 41.745966	 stepsize= 1.000000 
-dualbound = 2417415.139291, lowerbound=1150210.139291, norm of subgrad 1073.185044	dualbound = 2417415.139291, lowerbound=1150210.139291, norm of subgrad 41.124954	 stepsize= 1.000000 
-dualbound = 2417626.657411, lowerbound=1148101.657411, norm of subgrad 1072.212506	dualbound = 2417626.657411, lowerbound=1148101.657411, norm of subgrad 41.827241	 stepsize= 1.000000 
-dualbound = 2417803.590787, lowerbound=1151689.590787, norm of subgrad 1073.878760	dualbound = 2417803.590787, lowerbound=1151689.590787, norm of subgrad 41.266613	 stepsize= 1.000000 
-dualbound = 2418015.861237, lowerbound=1145570.861237, norm of subgrad 1071.027012	dualbound = 2418015.861237, lowerbound=1145570.861237, norm of subgrad 41.716549	 stepsize= 1.000000 
-dualbound = 2418224.006264, lowerbound=1153712.006264, norm of subgrad 1074.799519	dualbound = 2418224.006264, lowerbound=1153712.006264, norm of subgrad 41.111373	 stepsize= 1.000000 
-dualbound = 2418436.640612, lowerbound=1151564.640612, norm of subgrad 1073.815459	dualbound = 2418436.640612, lowerbound=1151564.640612, norm of subgrad 41.564821	 stepsize= 1.000000 
-dualbound = 2418623.473209, lowerbound=1148814.473209, norm of subgrad 1072.529940	dualbound = 2418623.473209, lowerbound=1148814.473209, norm of subgrad 41.144047	 stepsize= 1.000000 
-dualbound = 2418846.545432, lowerbound=1146810.545432, norm of subgrad 1071.592061	dualbound = 2418846.545432, lowerbound=1146810.545432, norm of subgrad 41.497858	 stepsize= 1.000000 
-dualbound = 2419024.861069, lowerbound=1152135.861069, norm of subgrad 1074.069300	dualbound = 2419024.861069, lowerbound=1152135.861069, norm of subgrad 40.832777	 stepsize= 1.000000 
-dualbound = 2419234.040074, lowerbound=1148101.040074, norm of subgrad 1072.192632	dualbound = 2419234.040074, lowerbound=1148101.040074, norm of subgrad 41.293813	 stepsize= 1.000000 
-dualbound = 2419433.890610, lowerbound=1150454.890610, norm of subgrad 1073.319566	dualbound = 2419433.890610, lowerbound=1150454.890610, norm of subgrad 41.950573	 stepsize= 1.000000 
-dualbound = 2419627.860346, lowerbound=1146621.860346, norm of subgrad 1071.504951	dualbound = 2419627.860346, lowerbound=1146621.860346, norm of subgrad 41.170010	 stepsize= 1.000000 
-dualbound = 2419857.698164, lowerbound=1152454.698164, norm of subgrad 1074.259139	dualbound = 2419857.698164, lowerbound=1152454.698164, norm of subgrad 42.518676	 stepsize= 1.000000 
-dualbound = 2420015.629691, lowerbound=1145603.629691, norm of subgrad 1071.057249	dualbound = 2420015.629691, lowerbound=1145603.629691, norm of subgrad 41.447938	 stepsize= 1.000000 
-dualbound = 2420271.535612, lowerbound=1155148.535612, norm of subgrad 1075.463405	dualbound = 2420271.535612, lowerbound=1155148.535612, norm of subgrad 41.580114	 stepsize= 1.000000 
-dualbound = 2420463.577997, lowerbound=1148110.577997, norm of subgrad 1072.172830	dualbound = 2420463.577997, lowerbound=1148110.577997, norm of subgrad 40.448021	 stepsize= 1.000000 
-dualbound = 2420664.152534, lowerbound=1152397.152534, norm of subgrad 1074.199308	dualbound = 2420664.152534, lowerbound=1152397.152534, norm of subgrad 41.322809	 stepsize= 1.000000 
-dualbound = 2420832.086105, lowerbound=1146191.086105, norm of subgrad 1071.300185	dualbound = 2420832.086105, lowerbound=1146191.086105, norm of subgrad 40.754553	 stepsize= 1.000000 
-dualbound = 2421072.032303, lowerbound=1150494.032303, norm of subgrad 1073.299135	dualbound = 2421072.032303, lowerbound=1150494.032303, norm of subgrad 41.436049	 stepsize= 1.000000 
-dualbound = 2421268.319360, lowerbound=1150583.319360, norm of subgrad 1073.337468	dualbound = 2421268.319360, lowerbound=1150583.319360, norm of subgrad 40.820180	 stepsize= 1.000000 
-dualbound = 2421449.183388, lowerbound=1151916.183388, norm of subgrad 1073.997292	dualbound = 2421449.183388, lowerbound=1151916.183388, norm of subgrad 41.651699	 stepsize= 1.000000 
-dualbound = 2421635.286073, lowerbound=1147491.286073, norm of subgrad 1071.924571	dualbound = 2421635.286073, lowerbound=1147491.286073, norm of subgrad 41.437938	 stepsize= 1.000000 
-dualbound = 2421871.886413, lowerbound=1150195.886413, norm of subgrad 1073.167688	dualbound = 2421871.886413, lowerbound=1150195.886413, norm of subgrad 41.588464	 stepsize= 1.000000 
-dualbound = 2422074.996643, lowerbound=1152271.996643, norm of subgrad 1074.150826	dualbound = 2422074.996643, lowerbound=1152271.996643, norm of subgrad 41.606613	 stepsize= 1.000000 
-dualbound = 2422255.664578, lowerbound=1152369.664578, norm of subgrad 1074.204201	dualbound = 2422255.664578, lowerbound=1152369.664578, norm of subgrad 41.541160	 stepsize= 1.000000 
-dualbound = 2422475.617051, lowerbound=1147761.617051, norm of subgrad 1072.038067	dualbound = 2422475.617051, lowerbound=1147761.617051, norm of subgrad 41.520507	 stepsize= 1.000000 
-dualbound = 2422669.804910, lowerbound=1149511.804910, norm of subgrad 1072.836336	dualbound = 2422669.804910, lowerbound=1149511.804910, norm of subgrad 40.745403	 stepsize= 1.000000 
-dualbound = 2422911.167901, lowerbound=1148597.167901, norm of subgrad 1072.448212	dualbound = 2422911.167901, lowerbound=1148597.167901, norm of subgrad 42.300863	 stepsize= 1.000000 
-dualbound = 2423055.156486, lowerbound=1153570.156486, norm of subgrad 1074.760976	dualbound = 2423055.156486, lowerbound=1153570.156486, norm of subgrad 41.048612	 stepsize= 1.000000 
-dualbound = 2423278.865185, lowerbound=1147158.865185, norm of subgrad 1071.742443	dualbound = 2423278.865185, lowerbound=1147158.865185, norm of subgrad 41.191124	 stepsize= 1.000000 
-dualbound = 2423508.261637, lowerbound=1152390.261637, norm of subgrad 1074.180740	dualbound = 2423508.261637, lowerbound=1152390.261637, norm of subgrad 41.272224	 stepsize= 1.000000 
-dualbound = 2423675.678422, lowerbound=1148162.678422, norm of subgrad 1072.250287	dualbound = 2423675.678422, lowerbound=1148162.678422, norm of subgrad 41.538137	 stepsize= 1.000000 
-dualbound = 2423881.744533, lowerbound=1151046.744533, norm of subgrad 1073.588722	dualbound = 2423881.744533, lowerbound=1151046.744533, norm of subgrad 41.857689	 stepsize= 1.000000 
-dualbound = 2424063.129169, lowerbound=1146756.129169, norm of subgrad 1071.583002	dualbound = 2424063.129169, lowerbound=1146756.129169, norm of subgrad 41.417202	 stepsize= 1.000000 
-dualbound = 2424295.634928, lowerbound=1149605.634928, norm of subgrad 1072.896843	dualbound = 2424295.634928, lowerbound=1149605.634928, norm of subgrad 41.647398	 stepsize= 1.000000 
-dualbound = 2424493.571780, lowerbound=1154923.571780, norm of subgrad 1075.389033	dualbound = 2424493.571780, lowerbound=1154923.571780, norm of subgrad 41.664576	 stepsize= 1.000000 
-dualbound = 2424666.631261, lowerbound=1153960.631261, norm of subgrad 1074.931919	dualbound = 2424666.631261, lowerbound=1153960.631261, norm of subgrad 41.122494	 stepsize= 1.000000 
-dualbound = 2424875.337430, lowerbound=1146803.337430, norm of subgrad 1071.603162	dualbound = 2424875.337430, lowerbound=1146803.337430, norm of subgrad 41.697796	 stepsize= 1.000000 
-dualbound = 2425076.047176, lowerbound=1152474.047176, norm of subgrad 1074.221135	dualbound = 2425076.047176, lowerbound=1152474.047176, norm of subgrad 40.959855	 stepsize= 1.000000 
-dualbound = 2425304.201740, lowerbound=1150697.201740, norm of subgrad 1073.417534	dualbound = 2425304.201740, lowerbound=1150697.201740, norm of subgrad 41.906498	 stepsize= 1.000000 
-dualbound = 2425474.317775, lowerbound=1151445.317775, norm of subgrad 1073.791096	dualbound = 2425474.317775, lowerbound=1151445.317775, norm of subgrad 41.858285	 stepsize= 1.000000 
-dualbound = 2425672.935007, lowerbound=1146670.935007, norm of subgrad 1071.516185	dualbound = 2425672.935007, lowerbound=1146670.935007, norm of subgrad 40.922087	 stepsize= 1.000000 
-dualbound = 2425897.181573, lowerbound=1154380.181573, norm of subgrad 1075.109381	dualbound = 2425897.181573, lowerbound=1154380.181573, norm of subgrad 41.282521	 stepsize= 1.000000 
-dualbound = 2426091.707949, lowerbound=1146758.707949, norm of subgrad 1071.562274	dualbound = 2426091.707949, lowerbound=1146758.707949, norm of subgrad 41.006419	 stepsize= 1.000000 
-dualbound = 2426293.819202, lowerbound=1153129.819202, norm of subgrad 1074.544005	dualbound = 2426293.819202, lowerbound=1153129.819202, norm of subgrad 41.438041	 stepsize= 1.000000 
-dualbound = 2426494.739521, lowerbound=1148714.739521, norm of subgrad 1072.461067	dualbound = 2426494.739521, lowerbound=1148714.739521, norm of subgrad 40.729846	 stepsize= 1.000000 
-dualbound = 2426702.194347, lowerbound=1152768.194347, norm of subgrad 1074.363158	dualbound = 2426702.194347, lowerbound=1152768.194347, norm of subgrad 41.175901	 stepsize= 1.000000 
-dualbound = 2426881.540303, lowerbound=1147057.540303, norm of subgrad 1071.747890	dualbound = 2426881.540303, lowerbound=1147057.540303, norm of subgrad 42.016020	 stepsize= 1.000000 
-dualbound = 2427066.401675, lowerbound=1157441.401675, norm of subgrad 1076.566023	dualbound = 2427066.401675, lowerbound=1157441.401675, norm of subgrad 41.687665	 stepsize= 1.000000 
-dualbound = 2427294.566628, lowerbound=1148868.566628, norm of subgrad 1072.568211	dualbound = 2427294.566628, lowerbound=1148868.566628, norm of subgrad 41.978149	 stepsize= 1.000000 
-dualbound = 2427484.422485, lowerbound=1147919.422485, norm of subgrad 1072.115862	dualbound = 2427484.422485, lowerbound=1147919.422485, norm of subgrad 41.265674	 stepsize= 1.000000 
-dualbound = 2427665.127550, lowerbound=1151158.127550, norm of subgrad 1073.636870	dualbound = 2427665.127550, lowerbound=1151158.127550, norm of subgrad 41.457268	 stepsize= 1.000000 
-dualbound = 2427880.140260, lowerbound=1153058.140260, norm of subgrad 1074.505533	dualbound = 2427880.140260, lowerbound=1153058.140260, norm of subgrad 41.460978	 stepsize= 1.000000 
-dualbound = 2428099.011142, lowerbound=1147368.011142, norm of subgrad 1071.835814	dualbound = 2428099.011142, lowerbound=1147368.011142, norm of subgrad 41.022809	 stepsize= 1.000000 
-dualbound = 2428302.097835, lowerbound=1151564.097835, norm of subgrad 1073.789597	dualbound = 2428302.097835, lowerbound=1151564.097835, norm of subgrad 40.780960	 stepsize= 1.000000 
-dualbound = 2428511.309186, lowerbound=1151209.309186, norm of subgrad 1073.642543	dualbound = 2428511.309186, lowerbound=1151209.309186, norm of subgrad 41.330514	 stepsize= 1.000000 
-dualbound = 2428689.820539, lowerbound=1155924.820539, norm of subgrad 1075.842842	dualbound = 2428689.820539, lowerbound=1155924.820539, norm of subgrad 41.127987	 stepsize= 1.000000 
-dualbound = 2428882.725053, lowerbound=1149059.725053, norm of subgrad 1072.665710	dualbound = 2428882.725053, lowerbound=1149059.725053, norm of subgrad 41.772054	 stepsize= 1.000000 
-dualbound = 2429065.882073, lowerbound=1150144.882073, norm of subgrad 1073.186322	dualbound = 2429065.882073, lowerbound=1150144.882073, norm of subgrad 42.037567	 stepsize= 1.000000 
-dualbound = 2429275.864044, lowerbound=1148678.864044, norm of subgrad 1072.468118	dualbound = 2429275.864044, lowerbound=1148678.864044, norm of subgrad 41.460607	 stepsize= 1.000000 
-dualbound = 2429503.872639, lowerbound=1151791.872639, norm of subgrad 1073.908689	dualbound = 2429503.872639, lowerbound=1151791.872639, norm of subgrad 41.424734	 stepsize= 1.000000 
-dualbound = 2429688.910607, lowerbound=1151705.910607, norm of subgrad 1073.891014	dualbound = 2429688.910607, lowerbound=1151705.910607, norm of subgrad 41.485395	 stepsize= 1.000000 
-dualbound = 2429898.854022, lowerbound=1153327.854022, norm of subgrad 1074.638011	dualbound = 2429898.854022, lowerbound=1153327.854022, norm of subgrad 41.580565	 stepsize= 1.000000 
-dualbound = 2430075.085593, lowerbound=1148639.085593, norm of subgrad 1072.461228	dualbound = 2430075.085593, lowerbound=1148639.085593, norm of subgrad 41.354946	 stepsize= 1.000000 
-dualbound = 2430273.888599, lowerbound=1150575.888599, norm of subgrad 1073.345186	dualbound = 2430273.888599, lowerbound=1150575.888599, norm of subgrad 41.143687	 stepsize= 1.000000 
-dualbound = 2430503.095909, lowerbound=1151231.095909, norm of subgrad 1073.632663	dualbound = 2430503.095909, lowerbound=1151231.095909, norm of subgrad 41.051277	 stepsize= 1.000000 
-dualbound = 2430706.750618, lowerbound=1150288.750618, norm of subgrad 1073.244497	dualbound = 2430706.750618, lowerbound=1150288.750618, norm of subgrad 42.055377	 stepsize= 1.000000 
-dualbound = 2430857.774420, lowerbound=1151029.774420, norm of subgrad 1073.617145	dualbound = 2430857.774420, lowerbound=1151029.774420, norm of subgrad 42.131031	 stepsize= 1.000000 
-dualbound = 2431095.023663, lowerbound=1149586.023663, norm of subgrad 1072.875586	dualbound = 2431095.023663, lowerbound=1149586.023663, norm of subgrad 41.391415	 stepsize= 1.000000 
-dualbound = 2431299.258344, lowerbound=1154281.258344, norm of subgrad 1075.074536	dualbound = 2431299.258344, lowerbound=1154281.258344, norm of subgrad 41.330796	 stepsize= 1.000000 
-dualbound = 2431482.947238, lowerbound=1152935.947238, norm of subgrad 1074.478919	dualbound = 2431482.947238, lowerbound=1152935.947238, norm of subgrad 41.865127	 stepsize= 1.000000 
-dualbound = 2431695.006434, lowerbound=1149539.006434, norm of subgrad 1072.883035	dualbound = 2431695.006434, lowerbound=1149539.006434, norm of subgrad 41.845659	 stepsize= 1.000000 
-dualbound = 2431914.371123, lowerbound=1150612.371123, norm of subgrad 1073.354262	dualbound = 2431914.371123, lowerbound=1150612.371123, norm of subgrad 41.186948	 stepsize= 1.000000 
-dualbound = 2432105.242506, lowerbound=1152040.242506, norm of subgrad 1074.036425	dualbound = 2432105.242506, lowerbound=1152040.242506, norm of subgrad 41.290088	 stepsize= 1.000000 
-dualbound = 2432288.210618, lowerbound=1152584.210618, norm of subgrad 1074.314298	dualbound = 2432288.210618, lowerbound=1152584.210618, norm of subgrad 41.832620	 stepsize= 1.000000 
-dualbound = 2432477.903151, lowerbound=1152573.903151, norm of subgrad 1074.302519	dualbound = 2432477.903151, lowerbound=1152573.903151, norm of subgrad 41.733590	 stepsize= 1.000000 
-dualbound = 2432684.613581, lowerbound=1151483.613581, norm of subgrad 1073.779593	dualbound = 2432684.613581, lowerbound=1151483.613581, norm of subgrad 41.541671	 stepsize= 1.000000 
-dualbound = 2432890.436463, lowerbound=1153736.436463, norm of subgrad 1074.815071	dualbound = 2432890.436463, lowerbound=1153736.436463, norm of subgrad 41.192510	 stepsize= 1.000000 
-dualbound = 2433097.416341, lowerbound=1150246.416341, norm of subgrad 1073.176321	dualbound = 2433097.416341, lowerbound=1150246.416341, norm of subgrad 40.840909	 stepsize= 1.000000 
-dualbound = 2433299.681011, lowerbound=1146232.681011, norm of subgrad 1071.300929	dualbound = 2433299.681011, lowerbound=1146232.681011, norm of subgrad 40.684944	 stepsize= 1.000000 
-dualbound = 2433519.720125, lowerbound=1150826.720125, norm of subgrad 1073.418241	dualbound = 2433519.720125, lowerbound=1150826.720125, norm of subgrad 40.249709	 stepsize= 1.000000 
-dualbound = 2433707.930769, lowerbound=1155333.930769, norm of subgrad 1075.522631	dualbound = 2433707.930769, lowerbound=1155333.930769, norm of subgrad 40.040113	 stepsize= 1.000000 
-dualbound = 2433915.040143, lowerbound=1146839.040143, norm of subgrad 1071.591825	dualbound = 2433915.040143, lowerbound=1146839.040143, norm of subgrad 40.952526	 stepsize= 1.000000 
-dualbound = 2434087.526235, lowerbound=1153487.526235, norm of subgrad 1074.702994	dualbound = 2434087.526235, lowerbound=1153487.526235, norm of subgrad 40.883812	 stepsize= 1.000000 
-dualbound = 2434290.330607, lowerbound=1155240.330607, norm of subgrad 1075.547921	dualbound = 2434290.330607, lowerbound=1155240.330607, norm of subgrad 42.021475	 stepsize= 1.000000 
-dualbound = 2434456.016448, lowerbound=1154114.016448, norm of subgrad 1075.037681	dualbound = 2434456.016448, lowerbound=1154114.016448, norm of subgrad 41.924764	 stepsize= 1.000000 
-dualbound = 2434680.762650, lowerbound=1151596.762650, norm of subgrad 1073.831813	dualbound = 2434680.762650, lowerbound=1151596.762650, norm of subgrad 41.746212	 stepsize= 1.000000 
-dualbound = 2434886.854644, lowerbound=1153117.854644, norm of subgrad 1074.536111	dualbound = 2434886.854644, lowerbound=1153117.854644, norm of subgrad 41.425741	 stepsize= 1.000000 
-dualbound = 2435068.417407, lowerbound=1155157.417407, norm of subgrad 1075.506122	dualbound = 2435068.417407, lowerbound=1155157.417407, norm of subgrad 41.684083	 stepsize= 1.000000 
-dualbound = 2435255.677047, lowerbound=1148338.677047, norm of subgrad 1072.320697	dualbound = 2435255.677047, lowerbound=1148338.677047, norm of subgrad 41.476013	 stepsize= 1.000000 
-dualbound = 2435467.644024, lowerbound=1151361.644024, norm of subgrad 1073.744217	dualbound = 2435467.644024, lowerbound=1151361.644024, norm of subgrad 42.154086	 stepsize= 1.000000 
-dualbound = 2435680.265295, lowerbound=1149618.265295, norm of subgrad 1072.914379	dualbound = 2435680.265295, lowerbound=1149618.265295, norm of subgrad 41.708767	 stepsize= 1.000000 
-dualbound = 2435869.358233, lowerbound=1152758.358233, norm of subgrad 1074.391157	dualbound = 2435869.358233, lowerbound=1152758.358233, norm of subgrad 41.798241	 stepsize= 1.000000 
-dualbound = 2436062.558910, lowerbound=1154136.558910, norm of subgrad 1075.005841	dualbound = 2436062.558910, lowerbound=1154136.558910, norm of subgrad 41.160669	 stepsize= 1.000000 
-dualbound = 2436294.223721, lowerbound=1153839.223721, norm of subgrad 1074.862421	dualbound = 2436294.223721, lowerbound=1153839.223721, norm of subgrad 41.492949	 stepsize= 1.000000 
-dualbound = 2436448.503025, lowerbound=1152491.503025, norm of subgrad 1074.259979	dualbound = 2436448.503025, lowerbound=1152491.503025, norm of subgrad 41.198050	 stepsize= 1.000000 
-dualbound = 2436703.820815, lowerbound=1148380.820815, norm of subgrad 1072.322163	dualbound = 2436703.820815, lowerbound=1148380.820815, norm of subgrad 41.824847	 stepsize= 1.000000 
-dualbound = 2436851.486163, lowerbound=1154278.486163, norm of subgrad 1075.075572	dualbound = 2436851.486163, lowerbound=1154278.486163, norm of subgrad 40.702154	 stepsize= 1.000000 
-dualbound = 2437099.512302, lowerbound=1153651.512302, norm of subgrad 1074.768120	dualbound = 2437099.512302, lowerbound=1153651.512302, norm of subgrad 41.509350	 stepsize= 1.000000 
-dualbound = 2437265.932075, lowerbound=1149396.932075, norm of subgrad 1072.777671	dualbound = 2437265.932075, lowerbound=1149396.932075, norm of subgrad 40.266857	 stepsize= 1.000000 
-dualbound = 2437496.912387, lowerbound=1154443.912387, norm of subgrad 1075.134835	dualbound = 2437496.912387, lowerbound=1154443.912387, norm of subgrad 41.255064	 stepsize= 1.000000 
-dualbound = 2437679.768746, lowerbound=1151389.768746, norm of subgrad 1073.722855	dualbound = 2437679.768746, lowerbound=1151389.768746, norm of subgrad 40.912790	 stepsize= 1.000000 
-dualbound = 2437885.033513, lowerbound=1152545.033513, norm of subgrad 1074.270000	dualbound = 2437885.033513, lowerbound=1152545.033513, norm of subgrad 41.427826	 stepsize= 1.000000 
-dualbound = 2438074.553878, lowerbound=1150244.553878, norm of subgrad 1073.169397	dualbound = 2438074.553878, lowerbound=1150244.553878, norm of subgrad 40.466287	 stepsize= 1.000000 
-dualbound = 2438298.506430, lowerbound=1151936.506430, norm of subgrad 1073.980683	dualbound = 2438298.506430, lowerbound=1151936.506430, norm of subgrad 41.496416	 stepsize= 1.000000 
-dualbound = 2438464.416434, lowerbound=1150078.416434, norm of subgrad 1073.144173	dualbound = 2438464.416434, lowerbound=1150078.416434, norm of subgrad 41.544073	 stepsize= 1.000000 
-dualbound = 2438649.716787, lowerbound=1153150.716787, norm of subgrad 1074.552799	dualbound = 2438649.716787, lowerbound=1153150.716787, norm of subgrad 41.210440	 stepsize= 1.000000 
-dualbound = 2438881.596933, lowerbound=1151649.596933, norm of subgrad 1073.823355	dualbound = 2438881.596933, lowerbound=1151649.596933, norm of subgrad 40.974140	 stepsize= 1.000000 
-dualbound = 2439079.009087, lowerbound=1153304.009087, norm of subgrad 1074.607374	dualbound = 2439079.009087, lowerbound=1153304.009087, norm of subgrad 40.919582	 stepsize= 1.000000 
-dualbound = 2439285.345930, lowerbound=1153774.345930, norm of subgrad 1074.857361	dualbound = 2439285.345930, lowerbound=1153774.345930, norm of subgrad 41.837027	 stepsize= 1.000000 
-dualbound = 2439434.430636, lowerbound=1153096.430636, norm of subgrad 1074.552665	dualbound = 2439434.430636, lowerbound=1153096.430636, norm of subgrad 41.425653	 stepsize= 1.000000 
-dualbound = 2439655.032131, lowerbound=1151059.032131, norm of subgrad 1073.600034	dualbound = 2439655.032131, lowerbound=1151059.032131, norm of subgrad 42.173469	 stepsize= 1.000000 
-dualbound = 2439841.915977, lowerbound=1158039.915977, norm of subgrad 1076.850926	dualbound = 2439841.915977, lowerbound=1158039.915977, norm of subgrad 41.891334	 stepsize= 1.000000 
-dualbound = 2440035.446112, lowerbound=1150873.446112, norm of subgrad 1073.512201	dualbound = 2440035.446112, lowerbound=1150873.446112, norm of subgrad 41.815429	 stepsize= 1.000000 
-dualbound = 2440260.267092, lowerbound=1154095.267092, norm of subgrad 1074.961054	dualbound = 2440260.267092, lowerbound=1154095.267092, norm of subgrad 40.875677	 stepsize= 1.000000 
-dualbound = 2440502.639805, lowerbound=1148329.639805, norm of subgrad 1072.262859	dualbound = 2440502.639805, lowerbound=1148329.639805, norm of subgrad 40.747671	 stepsize= 1.000000 
-dualbound = 2440658.264236, lowerbound=1155007.264236, norm of subgrad 1075.427480	dualbound = 2440658.264236, lowerbound=1155007.264236, norm of subgrad 41.141517	 stepsize= 1.000000 
-dualbound = 2440828.313659, lowerbound=1151589.313659, norm of subgrad 1073.823223	dualbound = 2440828.313659, lowerbound=1151589.313659, norm of subgrad 40.951794	 stepsize= 1.000000 
-dualbound = 2441055.951669, lowerbound=1157251.951669, norm of subgrad 1076.451091	dualbound = 2441055.951669, lowerbound=1157251.951669, norm of subgrad 41.504675	 stepsize= 1.000000 
-dualbound = 2441234.827952, lowerbound=1152383.827952, norm of subgrad 1074.192640	dualbound = 2441234.827952, lowerbound=1152383.827952, norm of subgrad 41.047245	 stepsize= 1.000000 
-dualbound = 2441468.119013, lowerbound=1155965.119013, norm of subgrad 1075.839727	dualbound = 2441468.119013, lowerbound=1155965.119013, norm of subgrad 41.222458	 stepsize= 1.000000 
-dualbound = 2441633.870401, lowerbound=1151047.870401, norm of subgrad 1073.560371	dualbound = 2441633.870401, lowerbound=1151047.870401, norm of subgrad 40.617132	 stepsize= 1.000000 
-dualbound = 2441855.181877, lowerbound=1155490.181877, norm of subgrad 1075.648261	dualbound = 2441855.181877, lowerbound=1155490.181877, norm of subgrad 41.836724	 stepsize= 1.000000 
-dualbound = 2442023.058579, lowerbound=1153481.058579, norm of subgrad 1074.713012	dualbound = 2442023.058579, lowerbound=1153481.058579, norm of subgrad 41.168880	 stepsize= 1.000000 
-dualbound = 2442228.765616, lowerbound=1154415.765616, norm of subgrad 1075.162204	dualbound = 2442228.765616, lowerbound=1154415.765616, norm of subgrad 41.996512	 stepsize= 1.000000 
-dualbound = 2442414.245203, lowerbound=1149949.245203, norm of subgrad 1073.100762	dualbound = 2442414.245203, lowerbound=1149949.245203, norm of subgrad 42.207577	 stepsize= 1.000000 
-dualbound = 2442604.443677, lowerbound=1151682.443677, norm of subgrad 1073.898246	dualbound = 2442604.443677, lowerbound=1151682.443677, norm of subgrad 42.014265	 stepsize= 1.000000 
-dualbound = 2442830.329166, lowerbound=1156191.329166, norm of subgrad 1075.969948	dualbound = 2442830.329166, lowerbound=1156191.329166, norm of subgrad 41.783795	 stepsize= 1.000000 
-dualbound = 2443038.175911, lowerbound=1153132.175911, norm of subgrad 1074.531608	dualbound = 2443038.175911, lowerbound=1153132.175911, norm of subgrad 41.156369	 stepsize= 1.000000 
-dualbound = 2443214.432924, lowerbound=1152424.432924, norm of subgrad 1074.191991	dualbound = 2443214.432924, lowerbound=1152424.432924, norm of subgrad 40.500087	 stepsize= 1.000000 
-dualbound = 2443458.134028, lowerbound=1154948.134028, norm of subgrad 1075.374881	dualbound = 2443458.134028, lowerbound=1154948.134028, norm of subgrad 41.553593	 stepsize= 1.000000 
-dualbound = 2443604.701042, lowerbound=1151203.701042, norm of subgrad 1073.644122	dualbound = 2443604.701042, lowerbound=1151203.701042, norm of subgrad 40.676369	 stepsize= 1.000000 
-dualbound = 2443830.918550, lowerbound=1153878.918550, norm of subgrad 1074.833438	dualbound = 2443830.918550, lowerbound=1153878.918550, norm of subgrad 40.177326	 stepsize= 1.000000 
-dualbound = 2444057.596237, lowerbound=1148340.596237, norm of subgrad 1072.300143	dualbound = 2444057.596237, lowerbound=1148340.596237, norm of subgrad 41.396590	 stepsize= 1.000000 
-dualbound = 2444223.255505, lowerbound=1153717.255505, norm of subgrad 1074.796379	dualbound = 2444223.255505, lowerbound=1153717.255505, norm of subgrad 40.443285	 stepsize= 1.000000 
-dualbound = 2444428.092034, lowerbound=1150744.092034, norm of subgrad 1073.445896	dualbound = 2444428.092034, lowerbound=1150744.092034, norm of subgrad 41.795174	 stepsize= 1.000000 
-dualbound = 2444608.766968, lowerbound=1156982.766968, norm of subgrad 1076.326050	dualbound = 2444608.766968, lowerbound=1156982.766968, norm of subgrad 40.935009	 stepsize= 1.000000 
-dualbound = 2444806.974891, lowerbound=1153384.974891, norm of subgrad 1074.674823	dualbound = 2444806.974891, lowerbound=1153384.974891, norm of subgrad 41.703812	 stepsize= 1.000000 
-dualbound = 2445001.369048, lowerbound=1151526.369048, norm of subgrad 1073.788326	dualbound = 2445001.369048, lowerbound=1151526.369048, norm of subgrad 41.102240	 stepsize= 1.000000 
-dualbound = 2445182.001056, lowerbound=1154331.001056, norm of subgrad 1075.123249	dualbound = 2445182.001056, lowerbound=1154331.001056, norm of subgrad 41.708896	 stepsize= 1.000000 
-dualbound = 2445404.449919, lowerbound=1155496.449919, norm of subgrad 1075.614917	dualbound = 2445404.449919, lowerbound=1155496.449919, norm of subgrad 40.907809	 stepsize= 1.000000 
-dualbound = 2445613.691237, lowerbound=1155571.691237, norm of subgrad 1075.681501	dualbound = 2445613.691237, lowerbound=1155571.691237, norm of subgrad 41.572122	 stepsize= 1.000000 
-dualbound = 2445774.538043, lowerbound=1150623.538043, norm of subgrad 1073.398127	dualbound = 2445774.538043, lowerbound=1150623.538043, norm of subgrad 41.483091	 stepsize= 1.000000 
-dualbound = 2445993.573071, lowerbound=1152355.573071, norm of subgrad 1074.178557	dualbound = 2445993.573071, lowerbound=1152355.573071, norm of subgrad 41.509457	 stepsize= 1.000000 
-dualbound = 2446203.224105, lowerbound=1153165.224105, norm of subgrad 1074.549777	dualbound = 2446203.224105, lowerbound=1153165.224105, norm of subgrad 41.251073	 stepsize= 1.000000 
-dualbound = 2446391.015308, lowerbound=1154973.015308, norm of subgrad 1075.392959	dualbound = 2446391.015308, lowerbound=1154973.015308, norm of subgrad 41.046208	 stepsize= 1.000000 
-dualbound = 2446607.999183, lowerbound=1156487.999183, norm of subgrad 1076.100367	dualbound = 2446607.999183, lowerbound=1156487.999183, norm of subgrad 41.484743	 stepsize= 1.000000 
-dualbound = 2446782.417991, lowerbound=1152101.417991, norm of subgrad 1074.065370	dualbound = 2446782.417991, lowerbound=1152101.417991, norm of subgrad 41.102540	 stepsize= 1.000000 
-dualbound = 2446975.561918, lowerbound=1157088.561918, norm of subgrad 1076.375660	dualbound = 2446975.561918, lowerbound=1157088.561918, norm of subgrad 41.099196	 stepsize= 1.000000 
-dualbound = 2447174.853300, lowerbound=1151896.853300, norm of subgrad 1074.015760	dualbound = 2447174.853300, lowerbound=1151896.853300, norm of subgrad 42.571016	 stepsize= 1.000000 
-dualbound = 2447326.357918, lowerbound=1153430.357918, norm of subgrad 1074.733157	dualbound = 2447326.357918, lowerbound=1153430.357918, norm of subgrad 42.101124	 stepsize= 1.000000 
-dualbound = 2447567.239079, lowerbound=1154635.239079, norm of subgrad 1075.233574	dualbound = 2447567.239079, lowerbound=1154635.239079, norm of subgrad 41.627889	 stepsize= 1.000000 
-dualbound = 2447763.132604, lowerbound=1155166.132604, norm of subgrad 1075.492042	dualbound = 2447763.132604, lowerbound=1155166.132604, norm of subgrad 41.387118	 stepsize= 1.000000 
-dualbound = 2447945.180026, lowerbound=1159568.180026, norm of subgrad 1077.548690	dualbound = 2447945.180026, lowerbound=1159568.180026, norm of subgrad 41.533690	 stepsize= 1.000000 
-dualbound = 2448177.699765, lowerbound=1148580.699765, norm of subgrad 1072.414425	dualbound = 2448177.699765, lowerbound=1148580.699765, norm of subgrad 41.527337	 stepsize= 1.000000 
-dualbound = 2448344.955972, lowerbound=1157863.955972, norm of subgrad 1076.754826	dualbound = 2448344.955972, lowerbound=1157863.955972, norm of subgrad 41.282638	 stepsize= 1.000000 
-dualbound = 2448570.547782, lowerbound=1150302.547782, norm of subgrad 1073.191291	dualbound = 2448570.547782, lowerbound=1150302.547782, norm of subgrad 40.774892	 stepsize= 1.000000 
-dualbound = 2448768.134311, lowerbound=1154046.134311, norm of subgrad 1074.980062	dualbound = 2448768.134311, lowerbound=1154046.134311, norm of subgrad 41.636361	 stepsize= 1.000000 
-dualbound = 2448923.494515, lowerbound=1156043.494515, norm of subgrad 1075.908683	dualbound = 2448923.494515, lowerbound=1156043.494515, norm of subgrad 41.126150	 stepsize= 1.000000 
-dualbound = 2449139.659692, lowerbound=1153604.659692, norm of subgrad 1074.740275	dualbound = 2449139.659692, lowerbound=1153604.659692, norm of subgrad 40.965414	 stepsize= 1.000000 
-dualbound = 2449353.614399, lowerbound=1156946.614399, norm of subgrad 1076.288351	dualbound = 2449353.614399, lowerbound=1156946.614399, norm of subgrad 40.791601	 stepsize= 1.000000 
-dualbound = 2449552.630708, lowerbound=1153106.630708, norm of subgrad 1074.515998	dualbound = 2449552.630708, lowerbound=1153106.630708, norm of subgrad 40.951390	 stepsize= 1.000000 
-dualbound = 2449724.849087, lowerbound=1155711.849087, norm of subgrad 1075.764309	dualbound = 2449724.849087, lowerbound=1155711.849087, norm of subgrad 41.583872	 stepsize= 1.000000 
-dualbound = 2449893.219460, lowerbound=1154729.219460, norm of subgrad 1075.288435	dualbound = 2449893.219460, lowerbound=1154729.219460, norm of subgrad 41.041082	 stepsize= 1.000000 
-dualbound = 2450123.511398, lowerbound=1155411.511398, norm of subgrad 1075.606113	dualbound = 2450123.511398, lowerbound=1155411.511398, norm of subgrad 41.800621	 stepsize= 1.000000 
-dualbound = 2450295.219087, lowerbound=1157655.219087, norm of subgrad 1076.649070	dualbound = 2450295.219087, lowerbound=1157655.219087, norm of subgrad 41.106054	 stepsize= 1.000000 
-dualbound = 2450507.674069, lowerbound=1155292.674069, norm of subgrad 1075.556449	dualbound = 2450507.674069, lowerbound=1155292.674069, norm of subgrad 41.730744	 stepsize= 1.000000 
-dualbound = 2450690.414351, lowerbound=1154709.414351, norm of subgrad 1075.289456	dualbound = 2450690.414351, lowerbound=1154709.414351, norm of subgrad 41.481807	 stepsize= 1.000000 
-dualbound = 2450881.599913, lowerbound=1154206.599913, norm of subgrad 1075.066323	dualbound = 2450881.599913, lowerbound=1154206.599913, norm of subgrad 41.859116	 stepsize= 1.000000 
-dualbound = 2451090.248491, lowerbound=1153484.248491, norm of subgrad 1074.704726	dualbound = 2451090.248491, lowerbound=1153484.248491, norm of subgrad 41.408315	 stepsize= 1.000000 
-dualbound = 2451278.311319, lowerbound=1151518.311319, norm of subgrad 1073.767345	dualbound = 2451278.311319, lowerbound=1151518.311319, norm of subgrad 40.571700	 stepsize= 1.000000 
-dualbound = 2451510.505183, lowerbound=1152057.505183, norm of subgrad 1074.023512	dualbound = 2451510.505183, lowerbound=1152057.505183, norm of subgrad 41.245531	 stepsize= 1.000000 
-dualbound = 2451687.963697, lowerbound=1159057.963697, norm of subgrad 1077.284068	dualbound = 2451687.963697, lowerbound=1159057.963697, norm of subgrad 40.748724	 stepsize= 1.000000 
-dualbound = 2451867.353973, lowerbound=1156602.353973, norm of subgrad 1076.177659	dualbound = 2451867.353973, lowerbound=1156602.353973, norm of subgrad 41.658016	 stepsize= 1.000000 
-dualbound = 2452083.394621, lowerbound=1154015.394621, norm of subgrad 1074.945764	dualbound = 2452083.394621, lowerbound=1154015.394621, norm of subgrad 41.340545	 stepsize= 1.000000 
-dualbound = 2452248.213400, lowerbound=1155308.213400, norm of subgrad 1075.563672	dualbound = 2452248.213400, lowerbound=1155308.213400, norm of subgrad 41.156030	 stepsize= 1.000000 
-dualbound = 2452465.186101, lowerbound=1155472.186101, norm of subgrad 1075.624091	dualbound = 2452465.186101, lowerbound=1155472.186101, norm of subgrad 41.375992	 stepsize= 1.000000 
-dualbound = 2452644.980757, lowerbound=1154745.980757, norm of subgrad 1075.275770	dualbound = 2452644.980757, lowerbound=1154745.980757, norm of subgrad 40.642277	 stepsize= 1.000000 
-dualbound = 2452851.027681, lowerbound=1152323.027681, norm of subgrad 1074.164805	dualbound = 2452851.027681, lowerbound=1152323.027681, norm of subgrad 41.388971	 stepsize= 1.000000 
-dualbound = 2453038.717746, lowerbound=1157051.717746, norm of subgrad 1076.390597	dualbound = 2453038.717746, lowerbound=1157051.717746, norm of subgrad 41.865141	 stepsize= 1.000000 
-dualbound = 2453221.110373, lowerbound=1155351.110373, norm of subgrad 1075.577571	dualbound = 2453221.110373, lowerbound=1155351.110373, norm of subgrad 41.211559	 stepsize= 1.000000 
-dualbound = 2453439.920984, lowerbound=1150575.920984, norm of subgrad 1073.345201	dualbound = 2453439.920984, lowerbound=1150575.920984, norm of subgrad 41.386116	 stepsize= 1.000000 
-dualbound = 2453631.603878, lowerbound=1156674.603878, norm of subgrad 1076.217731	dualbound = 2453631.603878, lowerbound=1156674.603878, norm of subgrad 41.972406	 stepsize= 1.000000 
-dualbound = 2453806.026622, lowerbound=1156178.026622, norm of subgrad 1075.970272	dualbound = 2453806.026622, lowerbound=1156178.026622, norm of subgrad 41.333071	 stepsize= 1.000000 
-dualbound = 2454025.571165, lowerbound=1156834.571165, norm of subgrad 1076.256276	dualbound = 2454025.571165, lowerbound=1156834.571165, norm of subgrad 41.382902	 stepsize= 1.000000 
-dualbound = 2454231.590765, lowerbound=1157208.590765, norm of subgrad 1076.413764	dualbound = 2454231.590765, lowerbound=1157208.590765, norm of subgrad 40.792396	 stepsize= 1.000000 
-dualbound = 2454422.574479, lowerbound=1155972.574479, norm of subgrad 1075.854811	dualbound = 2454422.574479, lowerbound=1155972.574479, norm of subgrad 41.011995	 stepsize= 1.000000 
-dualbound = 2454598.535304, lowerbound=1157002.535304, norm of subgrad 1076.346383	dualbound = 2454598.535304, lowerbound=1157002.535304, norm of subgrad 41.169902	 stepsize= 1.000000 
-dualbound = 2454789.207174, lowerbound=1158315.207174, norm of subgrad 1076.975491	dualbound = 2454789.207174, lowerbound=1158315.207174, norm of subgrad 41.852979	 stepsize= 1.000000 
-dualbound = 2454968.485025, lowerbound=1156806.485025, norm of subgrad 1076.248803	dualbound = 2454968.485025, lowerbound=1156806.485025, norm of subgrad 41.039954	 stepsize= 1.000000 
-dualbound = 2455194.915013, lowerbound=1149632.915013, norm of subgrad 1072.915614	dualbound = 2455194.915013, lowerbound=1149632.915013, norm of subgrad 41.730444	 stepsize= 1.000000 
-dualbound = 2455363.723922, lowerbound=1157402.723922, norm of subgrad 1076.553168	dualbound = 2455363.723922, lowerbound=1157402.723922, norm of subgrad 41.627021	 stepsize= 1.000000 
-dualbound = 2455554.276852, lowerbound=1158107.276852, norm of subgrad 1076.853879	dualbound = 2455554.276852, lowerbound=1158107.276852, norm of subgrad 41.201370	 stepsize= 1.000000 
-dualbound = 2455767.218067, lowerbound=1157348.218067, norm of subgrad 1076.514848	dualbound = 2455767.218067, lowerbound=1157348.218067, norm of subgrad 41.820345	 stepsize= 1.000000 
-dualbound = 2455968.538567, lowerbound=1153575.538567, norm of subgrad 1074.782554	dualbound = 2455968.538567, lowerbound=1153575.538567, norm of subgrad 42.229380	 stepsize= 1.000000 
-dualbound = 2456117.996237, lowerbound=1153945.996237, norm of subgrad 1074.943253	dualbound = 2456117.996237, lowerbound=1153945.996237, norm of subgrad 41.309293	 stepsize= 1.000000 
-dualbound = 2456367.157268, lowerbound=1152126.157268, norm of subgrad 1074.054076	dualbound = 2456367.157268, lowerbound=1152126.157268, norm of subgrad 41.414503	 stepsize= 1.000000 
-dualbound = 2456556.334383, lowerbound=1159043.334383, norm of subgrad 1077.286561	dualbound = 2456556.334383, lowerbound=1159043.334383, norm of subgrad 41.136080	 stepsize= 1.000000 
-dualbound = 2456737.927778, lowerbound=1150122.927778, norm of subgrad 1073.127172	dualbound = 2456737.927778, lowerbound=1150122.927778, norm of subgrad 40.750379	 stepsize= 1.000000 
-dualbound = 2456944.051740, lowerbound=1156707.051740, norm of subgrad 1076.218403	dualbound = 2456944.051740, lowerbound=1156707.051740, norm of subgrad 41.774681	 stepsize= 1.000000 
-dualbound = 2457124.938262, lowerbound=1153404.938262, norm of subgrad 1074.632932	dualbound = 2457124.938262, lowerbound=1153404.938262, norm of subgrad 40.148307	 stepsize= 1.000000 
-dualbound = 2457335.764256, lowerbound=1161743.764256, norm of subgrad 1078.510438	dualbound = 2457335.764256, lowerbound=1161743.764256, norm of subgrad 40.642662	 stepsize= 1.000000 
-dualbound = 2457525.981783, lowerbound=1152251.981783, norm of subgrad 1074.163387	dualbound = 2457525.981783, lowerbound=1152251.981783, norm of subgrad 42.014492	 stepsize= 1.000000 
-dualbound = 2457697.325059, lowerbound=1155266.325059, norm of subgrad 1075.547919	dualbound = 2457697.325059, lowerbound=1155266.325059, norm of subgrad 41.332110	 stepsize= 1.000000 
-dualbound = 2457887.365803, lowerbound=1159069.365803, norm of subgrad 1077.317672	dualbound = 2457887.365803, lowerbound=1159069.365803, norm of subgrad 41.641815	 stepsize= 1.000000 
-dualbound = 2458093.157045, lowerbound=1156456.157045, norm of subgrad 1076.087430	dualbound = 2458093.157045, lowerbound=1156456.157045, norm of subgrad 41.397962	 stepsize= 1.000000 
-dualbound = 2458282.369725, lowerbound=1156069.369725, norm of subgrad 1075.914202	dualbound = 2458282.369725, lowerbound=1156069.369725, norm of subgrad 41.366807	 stepsize= 1.000000 
-dualbound = 2458460.916840, lowerbound=1154183.916840, norm of subgrad 1075.026938	dualbound = 2458460.916840, lowerbound=1154183.916840, norm of subgrad 40.957870	 stepsize= 1.000000 
-dualbound = 2458693.861037, lowerbound=1156491.861037, norm of subgrad 1076.079858	dualbound = 2458693.861037, lowerbound=1156491.861037, norm of subgrad 41.096766	 stepsize= 1.000000 
-dualbound = 2458872.345667, lowerbound=1156584.345667, norm of subgrad 1076.107497	dualbound = 2458872.345667, lowerbound=1156584.345667, norm of subgrad 40.018554	 stepsize= 1.000000 
-dualbound = 2459061.621855, lowerbound=1154178.621855, norm of subgrad 1075.032847	dualbound = 2459061.621855, lowerbound=1154178.621855, norm of subgrad 41.307096	 stepsize= 1.000000 
-dualbound = 2459225.088700, lowerbound=1155297.088700, norm of subgrad 1075.565939	dualbound = 2459225.088700, lowerbound=1155297.088700, norm of subgrad 41.333604	 stepsize= 1.000000 
-dualbound = 2459455.624991, lowerbound=1158454.624991, norm of subgrad 1077.000290	dualbound = 2459455.624991, lowerbound=1158454.624991, norm of subgrad 41.298139	 stepsize= 1.000000 
-dualbound = 2459637.578104, lowerbound=1155636.578104, norm of subgrad 1075.680519	dualbound = 2459637.578104, lowerbound=1155636.578104, norm of subgrad 40.422186	 stepsize= 1.000000 
-dualbound = 2459856.902018, lowerbound=1157592.902018, norm of subgrad 1076.601088	dualbound = 2459856.902018, lowerbound=1157592.902018, norm of subgrad 41.186453	 stepsize= 1.000000 
-dualbound = 2460025.910953, lowerbound=1155895.910953, norm of subgrad 1075.818717	dualbound = 2460025.910953, lowerbound=1155895.910953, norm of subgrad 40.730933	 stepsize= 1.000000 
-dualbound = 2460203.101660, lowerbound=1159534.101660, norm of subgrad 1077.529629	dualbound = 2460203.101660, lowerbound=1159534.101660, norm of subgrad 41.390708	 stepsize= 1.000000 
-dualbound = 2460415.929087, lowerbound=1158534.929087, norm of subgrad 1077.045463	dualbound = 2460415.929087, lowerbound=1158534.929087, norm of subgrad 41.289556	 stepsize= 1.000000 
-dualbound = 2460603.905285, lowerbound=1155985.905285, norm of subgrad 1075.881455	dualbound = 2460603.905285, lowerbound=1155985.905285, norm of subgrad 41.508748	 stepsize= 1.000000 
-dualbound = 2460778.948633, lowerbound=1152532.948633, norm of subgrad 1074.290440	dualbound = 2460778.948633, lowerbound=1152532.948633, norm of subgrad 41.737793	 stepsize= 1.000000 
-dualbound = 2460974.175482, lowerbound=1158028.175482, norm of subgrad 1076.802756	dualbound = 2460974.175482, lowerbound=1158028.175482, norm of subgrad 40.880641	 stepsize= 1.000000 
-dualbound = 2461208.663640, lowerbound=1156971.663640, norm of subgrad 1076.324609	dualbound = 2461208.663640, lowerbound=1156971.663640, norm of subgrad 41.683188	 stepsize= 1.000000 
-dualbound = 2461375.536028, lowerbound=1155339.536028, norm of subgrad 1075.551736	dualbound = 2461375.536028, lowerbound=1155339.536028, norm of subgrad 40.482989	 stepsize= 1.000000 
-dualbound = 2461603.045501, lowerbound=1159667.045501, norm of subgrad 1077.597349	dualbound = 2461603.045501, lowerbound=1159667.045501, norm of subgrad 42.148659	 stepsize= 1.000000 
-dualbound = 2461738.782853, lowerbound=1157876.782853, norm of subgrad 1076.738958	dualbound = 2461738.782853, lowerbound=1157876.782853, norm of subgrad 40.320433	 stepsize= 1.000000 
-dualbound = 2461979.188638, lowerbound=1154125.188638, norm of subgrad 1074.986599	dualbound = 2461979.188638, lowerbound=1154125.188638, norm of subgrad 41.369140	 stepsize= 1.000000 
-dualbound = 2462149.566487, lowerbound=1156121.566487, norm of subgrad 1075.918476	dualbound = 2462149.566487, lowerbound=1156121.566487, norm of subgrad 40.612533	 stepsize= 1.000000 
-dualbound = 2462360.592572, lowerbound=1155208.592572, norm of subgrad 1075.488072	dualbound = 2462360.592572, lowerbound=1155208.592572, norm of subgrad 40.951509	 stepsize= 1.000000 
-dualbound = 2462524.106393, lowerbound=1157394.106393, norm of subgrad 1076.544986	dualbound = 2462524.106393, lowerbound=1157394.106393, norm of subgrad 41.454961	 stepsize= 1.000000 
-dualbound = 2462724.099353, lowerbound=1156946.099353, norm of subgrad 1076.303907	dualbound = 2462724.099353, lowerbound=1156946.099353, norm of subgrad 41.036483	 stepsize= 1.000000 
-dualbound = 2462936.092869, lowerbound=1159414.092869, norm of subgrad 1077.456771	dualbound = 2462936.092869, lowerbound=1159414.092869, norm of subgrad 41.364157	 stepsize= 1.000000 
-dualbound = 2463107.121927, lowerbound=1154509.121927, norm of subgrad 1075.187017	dualbound = 2463107.121927, lowerbound=1154509.121927, norm of subgrad 41.097799	 stepsize= 1.000000 
-dualbound = 2463323.476801, lowerbound=1157496.476801, norm of subgrad 1076.556305	dualbound = 2463323.476801, lowerbound=1157496.476801, norm of subgrad 41.150393	 stepsize= 1.000000 
-dualbound = 2463476.238217, lowerbound=1155236.238217, norm of subgrad 1075.507433	dualbound = 2463476.238217, lowerbound=1155236.238217, norm of subgrad 40.407443	 stepsize= 1.000000 
-dualbound = 2463690.783409, lowerbound=1159140.783409, norm of subgrad 1077.374950	dualbound = 2463690.783409, lowerbound=1159140.783409, norm of subgrad 42.550502	 stepsize= 1.000000 
-dualbound = 2463856.002824, lowerbound=1154257.002824, norm of subgrad 1075.055814	dualbound = 2463856.002824, lowerbound=1154257.002824, norm of subgrad 40.659801	 stepsize= 1.000000 
-dualbound = 2464083.220509, lowerbound=1157241.220509, norm of subgrad 1076.418701	dualbound = 2464083.220509, lowerbound=1157241.220509, norm of subgrad 40.782566	 stepsize= 1.000000 
-dualbound = 2464252.998136, lowerbound=1161118.998136, norm of subgrad 1078.235131	dualbound = 2464252.998136, lowerbound=1161118.998136, norm of subgrad 40.518855	 stepsize= 1.000000 
-dualbound = 2464466.812588, lowerbound=1157994.812588, norm of subgrad 1076.786336	dualbound = 2464466.812588, lowerbound=1157994.812588, norm of subgrad 41.083019	 stepsize= 1.000000 
-dualbound = 2464658.977341, lowerbound=1154216.977341, norm of subgrad 1075.018129	dualbound = 2464658.977341, lowerbound=1154216.977341, norm of subgrad 40.486600	 stepsize= 1.000000 
-dualbound = 2464829.593164, lowerbound=1159282.593164, norm of subgrad 1077.405027	dualbound = 2464829.593164, lowerbound=1159282.593164, norm of subgrad 41.104937	 stepsize= 1.000000 
-dualbound = 2465002.307802, lowerbound=1155897.307802, norm of subgrad 1075.832844	dualbound = 2465002.307802, lowerbound=1155897.307802, norm of subgrad 41.130459	 stepsize= 1.000000 
-dualbound = 2465237.595542, lowerbound=1156231.595542, norm of subgrad 1075.984942	dualbound = 2465237.595542, lowerbound=1156231.595542, norm of subgrad 41.800571	 stepsize= 1.000000 
-dualbound = 2465387.860427, lowerbound=1156350.860427, norm of subgrad 1076.023634	dualbound = 2465387.860427, lowerbound=1156350.860427, norm of subgrad 40.326975	 stepsize= 1.000000 
-dualbound = 2465629.969502, lowerbound=1157947.969502, norm of subgrad 1076.778979	dualbound = 2465629.969502, lowerbound=1157947.969502, norm of subgrad 41.798434	 stepsize= 1.000000 
-dualbound = 2465790.406394, lowerbound=1159721.406394, norm of subgrad 1077.612364	dualbound = 2465790.406394, lowerbound=1159721.406394, norm of subgrad 41.078424	 stepsize= 1.000000 
-dualbound = 2465961.470875, lowerbound=1156588.470875, norm of subgrad 1076.171209	dualbound = 2465961.470875, lowerbound=1156588.470875, norm of subgrad 41.557965	 stepsize= 1.000000 
-dualbound = 2466162.578626, lowerbound=1160892.578626, norm of subgrad 1078.178825	dualbound = 2466162.578626, lowerbound=1160892.578626, norm of subgrad 42.167615	 stepsize= 1.000000 
-dualbound = 2466385.476594, lowerbound=1154349.476594, norm of subgrad 1075.103007	dualbound = 2466385.476594, lowerbound=1154349.476594, norm of subgrad 41.471653	 stepsize= 1.000000 
-dualbound = 2466549.542369, lowerbound=1158091.542369, norm of subgrad 1076.852609	dualbound = 2466549.542369, lowerbound=1158091.542369, norm of subgrad 41.037370	 stepsize= 1.000000 
-dualbound = 2466762.287365, lowerbound=1152744.287365, norm of subgrad 1074.344585	dualbound = 2466762.287365, lowerbound=1152744.287365, norm of subgrad 41.045645	 stepsize= 1.000000 
-dualbound = 2466958.119676, lowerbound=1159783.119676, norm of subgrad 1077.617799	dualbound = 2466958.119676, lowerbound=1159783.119676, norm of subgrad 40.900273	 stepsize= 1.000000 
-dualbound = 2467143.783590, lowerbound=1155519.783590, norm of subgrad 1075.656443	dualbound = 2467143.783590, lowerbound=1155519.783590, norm of subgrad 41.263348	 stepsize= 1.000000 
-dualbound = 2467330.838745, lowerbound=1160131.838745, norm of subgrad 1077.804638	dualbound = 2467330.838745, lowerbound=1160131.838745, norm of subgrad 41.449429	 stepsize= 1.000000 
-dualbound = 2467509.565271, lowerbound=1152857.565271, norm of subgrad 1074.419641	dualbound = 2467509.565271, lowerbound=1152857.565271, norm of subgrad 41.215610	 stepsize= 1.000000 
-dualbound = 2467717.559453, lowerbound=1160493.559453, norm of subgrad 1077.969183	dualbound = 2467717.559453, lowerbound=1160493.559453, norm of subgrad 41.617234	 stepsize= 1.000000 
-dualbound = 2467933.218653, lowerbound=1155776.218653, norm of subgrad 1075.765411	dualbound = 2467933.218653, lowerbound=1155776.218653, norm of subgrad 41.360116	 stepsize= 1.000000 
-dualbound = 2468118.853028, lowerbound=1160076.853028, norm of subgrad 1077.767068	dualbound = 2468118.853028, lowerbound=1160076.853028, norm of subgrad 41.117325	 stepsize= 1.000000 
-dualbound = 2468291.383002, lowerbound=1156142.383002, norm of subgrad 1075.935120	dualbound = 2468291.383002, lowerbound=1156142.383002, norm of subgrad 40.823155	 stepsize= 1.000000 
-dualbound = 2468495.507464, lowerbound=1157802.507464, norm of subgrad 1076.721184	dualbound = 2468495.507464, lowerbound=1157802.507464, norm of subgrad 41.594765	 stepsize= 1.000000 
-dualbound = 2468668.463535, lowerbound=1153961.463535, norm of subgrad 1074.909514	dualbound = 2468668.463535, lowerbound=1153961.463535, norm of subgrad 40.521057	 stepsize= 1.000000 
-dualbound = 2468866.605275, lowerbound=1156764.605275, norm of subgrad 1076.229811	dualbound = 2468866.605275, lowerbound=1156764.605275, norm of subgrad 41.281252	 stepsize= 1.000000 
-dualbound = 2469069.183930, lowerbound=1155881.183930, norm of subgrad 1075.824421	dualbound = 2469069.183930, lowerbound=1155881.183930, norm of subgrad 41.467803	 stepsize= 1.000000 
-dualbound = 2469255.471144, lowerbound=1159898.471144, norm of subgrad 1077.695445	dualbound = 2469255.471144, lowerbound=1159898.471144, norm of subgrad 41.416026	 stepsize= 1.000000 
-dualbound = 2469428.527948, lowerbound=1157339.527948, norm of subgrad 1076.504309	dualbound = 2469428.527948, lowerbound=1157339.527948, norm of subgrad 41.171068	 stepsize= 1.000000 
-dualbound = 2469638.694740, lowerbound=1159638.694740, norm of subgrad 1077.545217	dualbound = 2469638.694740, lowerbound=1159638.694740, norm of subgrad 40.928802	 stepsize= 1.000000 
-dualbound = 2469839.795779, lowerbound=1159342.795779, norm of subgrad 1077.415331	dualbound = 2469839.795779, lowerbound=1159342.795779, norm of subgrad 41.013425	 stepsize= 1.000000 
-dualbound = 2470003.543309, lowerbound=1155083.543309, norm of subgrad 1075.475961	dualbound = 2470003.543309, lowerbound=1155083.543309, norm of subgrad 41.578210	 stepsize= 1.000000 
-dualbound = 2470162.236958, lowerbound=1155162.236958, norm of subgrad 1075.519984	dualbound = 2470162.236958, lowerbound=1155162.236958, norm of subgrad 41.709635	 stepsize= 1.000000 
-dualbound = 2470393.956314, lowerbound=1161194.956314, norm of subgrad 1078.268963	dualbound = 2470393.956314, lowerbound=1161194.956314, norm of subgrad 41.239779	 stepsize= 1.000000 
-dualbound = 2470587.663587, lowerbound=1157040.663587, norm of subgrad 1076.335293	dualbound = 2470587.663587, lowerbound=1157040.663587, norm of subgrad 40.628897	 stepsize= 1.000000 
-dualbound = 2470794.297499, lowerbound=1158465.297499, norm of subgrad 1077.001067	dualbound = 2470794.297499, lowerbound=1158465.297499, norm of subgrad 40.897847	 stepsize= 1.000000 
-dualbound = 2470964.581312, lowerbound=1155249.581312, norm of subgrad 1075.506663	dualbound = 2470964.581312, lowerbound=1155249.581312, norm of subgrad 40.438643	 stepsize= 1.000000 
-dualbound = 2471180.100722, lowerbound=1157522.100722, norm of subgrad 1076.569134	dualbound = 2471180.100722, lowerbound=1157522.100722, norm of subgrad 41.164541	 stepsize= 1.000000 
-dualbound = 2471360.845404, lowerbound=1156140.845404, norm of subgrad 1075.943235	dualbound = 2471360.845404, lowerbound=1156140.845404, norm of subgrad 41.155129	 stepsize= 1.000000 
-dualbound = 2471554.651480, lowerbound=1155471.651480, norm of subgrad 1075.637788	dualbound = 2471554.651480, lowerbound=1155471.651480, norm of subgrad 41.458486	 stepsize= 1.000000 
-dualbound = 2471731.001836, lowerbound=1163451.001836, norm of subgrad 1079.331739	dualbound = 2471731.001836, lowerbound=1163451.001836, norm of subgrad 41.016464	 stepsize= 1.000000 
-dualbound = 2471927.572635, lowerbound=1155217.572635, norm of subgrad 1075.527114	dualbound = 2471927.572635, lowerbound=1155217.572635, norm of subgrad 41.684179	 stepsize= 1.000000 
-dualbound = 2472125.433436, lowerbound=1156995.433436, norm of subgrad 1076.332864	dualbound = 2472125.433436, lowerbound=1156995.433436, norm of subgrad 41.168687	 stepsize= 1.000000 
-dualbound = 2472309.291654, lowerbound=1158377.291654, norm of subgrad 1077.010813	dualbound = 2472309.291654, lowerbound=1158377.291654, norm of subgrad 41.938744	 stepsize= 1.000000 
-dualbound = 2472510.458324, lowerbound=1159518.458324, norm of subgrad 1077.503345	dualbound = 2472510.458324, lowerbound=1159518.458324, norm of subgrad 41.184544	 stepsize= 1.000000 
-dualbound = 2472702.496774, lowerbound=1154620.496774, norm of subgrad 1075.225789	dualbound = 2472702.496774, lowerbound=1154620.496774, norm of subgrad 41.012662	 stepsize= 1.000000 
-dualbound = 2472899.540498, lowerbound=1159797.540498, norm of subgrad 1077.647688	dualbound = 2472899.540498, lowerbound=1159797.540498, norm of subgrad 41.521606	 stepsize= 1.000000 
-dualbound = 2473074.959406, lowerbound=1156663.959406, norm of subgrad 1076.170971	dualbound = 2473074.959406, lowerbound=1156663.959406, norm of subgrad 40.686839	 stepsize= 1.000000 
-dualbound = 2473312.662623, lowerbound=1159375.662623, norm of subgrad 1077.411557	dualbound = 2473312.662623, lowerbound=1159375.662623, norm of subgrad 40.959776	 stepsize= 1.000000 
-dualbound = 2473469.595828, lowerbound=1155573.595828, norm of subgrad 1075.676343	dualbound = 2473469.595828, lowerbound=1155573.595828, norm of subgrad 40.779078	 stepsize= 1.000000 
-dualbound = 2473664.810874, lowerbound=1159082.810874, norm of subgrad 1077.318807	dualbound = 2473664.810874, lowerbound=1159082.810874, norm of subgrad 41.571806	 stepsize= 1.000000 
-dualbound = 2473837.810049, lowerbound=1154972.810049, norm of subgrad 1075.395653	dualbound = 2473837.810049, lowerbound=1154972.810049, norm of subgrad 40.938969	 stepsize= 1.000000 
-dualbound = 2474039.597741, lowerbound=1156463.597741, norm of subgrad 1076.091352	dualbound = 2474039.597741, lowerbound=1156463.597741, norm of subgrad 41.361669	 stepsize= 1.000000 
-dualbound = 2474221.645641, lowerbound=1160970.645641, norm of subgrad 1078.187203	dualbound = 2474221.645641, lowerbound=1160970.645641, norm of subgrad 41.219509	 stepsize= 1.000000 
-dualbound = 2474405.674456, lowerbound=1156604.674456, norm of subgrad 1076.164799	dualbound = 2474405.674456, lowerbound=1156604.674456, norm of subgrad 41.352495	 stepsize= 1.000000 
-dualbound = 2474620.360269, lowerbound=1162523.360269, norm of subgrad 1078.865311	dualbound = 2474620.360269, lowerbound=1162523.360269, norm of subgrad 40.517722	 stepsize= 1.000000 
-dualbound = 2474839.776516, lowerbound=1157138.776516, norm of subgrad 1076.387373	dualbound = 2474839.776516, lowerbound=1157138.776516, norm of subgrad 41.114672	 stepsize= 1.000000 
-dualbound = 2474986.969381, lowerbound=1156318.969381, norm of subgrad 1076.039948	dualbound = 2474986.969381, lowerbound=1156318.969381, norm of subgrad 41.111955	 stepsize= 1.000000 
-dualbound = 2475178.325320, lowerbound=1159792.325320, norm of subgrad 1077.608614	dualbound = 2475178.325320, lowerbound=1159792.325320, norm of subgrad 40.488961	 stepsize= 1.000000 
-dualbound = 2475389.723766, lowerbound=1156230.723766, norm of subgrad 1075.979890	dualbound = 2475389.723766, lowerbound=1156230.723766, norm of subgrad 41.393217	 stepsize= 1.000000 
-dualbound = 2475583.217213, lowerbound=1158899.217213, norm of subgrad 1077.184393	dualbound = 2475583.217213, lowerbound=1158899.217213, norm of subgrad 40.255353	 stepsize= 1.000000 
-dualbound = 2475775.630986, lowerbound=1157535.630986, norm of subgrad 1076.568916	dualbound = 2475775.630986, lowerbound=1157535.630986, norm of subgrad 40.711347	 stepsize= 1.000000 
-dualbound = 2475955.120023, lowerbound=1154669.120023, norm of subgrad 1075.237704	dualbound = 2475955.120023, lowerbound=1154669.120023, norm of subgrad 40.576952	 stepsize= 1.000000 
-dualbound = 2476156.727619, lowerbound=1158254.727619, norm of subgrad 1076.924198	dualbound = 2476156.727619, lowerbound=1158254.727619, norm of subgrad 41.383663	 stepsize= 1.000000 
-dualbound = 2476324.904711, lowerbound=1160111.904711, norm of subgrad 1077.785649	dualbound = 2476324.904711, lowerbound=1160111.904711, norm of subgrad 40.965560	 stepsize= 1.000000 
-dualbound = 2476559.685243, lowerbound=1159251.685243, norm of subgrad 1077.366087	dualbound = 2476559.685243, lowerbound=1159251.685243, norm of subgrad 41.240521	 stepsize= 1.000000 
-dualbound = 2476694.351022, lowerbound=1158328.351022, norm of subgrad 1076.998306	dualbound = 2476694.351022, lowerbound=1158328.351022, norm of subgrad 41.613288	 stepsize= 1.000000 
-dualbound = 2476872.813325, lowerbound=1156437.813325, norm of subgrad 1076.103068	dualbound = 2476872.813325, lowerbound=1156437.813325, norm of subgrad 41.694871	 stepsize= 1.000000 
-dualbound = 2477086.973261, lowerbound=1160421.973261, norm of subgrad 1077.903972	dualbound = 2477086.973261, lowerbound=1160421.973261, norm of subgrad 40.855354	 stepsize= 1.000000 
-dualbound = 2477303.431190, lowerbound=1156313.431190, norm of subgrad 1076.024364	dualbound = 2477303.431190, lowerbound=1156313.431190, norm of subgrad 41.610791	 stepsize= 1.000000 
-dualbound = 2477461.267760, lowerbound=1155779.267760, norm of subgrad 1075.775194	dualbound = 2477461.267760, lowerbound=1155779.267760, norm of subgrad 40.875868	 stepsize= 1.000000 
-dualbound = 2477650.867072, lowerbound=1157295.867072, norm of subgrad 1076.497500	dualbound = 2477650.867072, lowerbound=1157295.867072, norm of subgrad 41.720490	 stepsize= 1.000000 
-dualbound = 2477865.150979, lowerbound=1161832.150979, norm of subgrad 1078.569029	dualbound = 2477865.150979, lowerbound=1161832.150979, norm of subgrad 41.149531	 stepsize= 1.000000 
-dualbound = 2478050.782544, lowerbound=1156241.782544, norm of subgrad 1075.979917	dualbound = 2478050.782544, lowerbound=1156241.782544, norm of subgrad 40.946692	 stepsize= 1.000000 
-dualbound = 2478263.990369, lowerbound=1162720.990369, norm of subgrad 1078.977289	dualbound = 2478263.990369, lowerbound=1162720.990369, norm of subgrad 41.039101	 stepsize= 1.000000 
-dualbound = 2478433.520743, lowerbound=1155346.520743, norm of subgrad 1075.580086	dualbound = 2478433.520743, lowerbound=1155346.520743, norm of subgrad 41.176818	 stepsize= 1.000000 
-dualbound = 2478619.482714, lowerbound=1160674.482714, norm of subgrad 1078.024342	dualbound = 2478619.482714, lowerbound=1160674.482714, norm of subgrad 40.595098	 stepsize= 1.000000 
-dualbound = 2478850.510990, lowerbound=1157789.510990, norm of subgrad 1076.681713	dualbound = 2478850.510990, lowerbound=1157789.510990, norm of subgrad 41.049096	 stepsize= 1.000000 
-dualbound = 2479010.353767, lowerbound=1158482.353767, norm of subgrad 1077.061444	dualbound = 2479010.353767, lowerbound=1158482.353767, norm of subgrad 41.699434	 stepsize= 1.000000 
-dualbound = 2479163.104384, lowerbound=1155162.104384, norm of subgrad 1075.492959	dualbound = 2479163.104384, lowerbound=1155162.104384, norm of subgrad 40.935933	 stepsize= 1.000000 
-dualbound = 2479407.535681, lowerbound=1160761.535681, norm of subgrad 1078.065182	dualbound = 2479407.535681, lowerbound=1160761.535681, norm of subgrad 41.321076	 stepsize= 1.000000 
-dualbound = 2479585.357939, lowerbound=1158118.357939, norm of subgrad 1076.846023	dualbound = 2479585.357939, lowerbound=1158118.357939, norm of subgrad 40.704082	 stepsize= 1.000000 
-dualbound = 2479770.470304, lowerbound=1157864.470304, norm of subgrad 1076.730454	dualbound = 2479770.470304, lowerbound=1157864.470304, norm of subgrad 40.854772	 stepsize= 1.000000 
-dualbound = 2479952.136592, lowerbound=1158737.136592, norm of subgrad 1077.139330	dualbound = 2479952.136592, lowerbound=1158737.136592, norm of subgrad 40.910467	 stepsize= 1.000000 
-dualbound = 2480154.342548, lowerbound=1154421.342548, norm of subgrad 1075.118292	dualbound = 2480154.342548, lowerbound=1154421.342548, norm of subgrad 40.745625	 stepsize= 1.000000 
-dualbound = 2480340.393912, lowerbound=1158716.393912, norm of subgrad 1077.116704	dualbound = 2480340.393912, lowerbound=1158716.393912, norm of subgrad 40.620824	 stepsize= 1.000000 
-dualbound = 2480550.364121, lowerbound=1159495.364121, norm of subgrad 1077.501445	dualbound = 2480550.364121, lowerbound=1159495.364121, norm of subgrad 41.520720	 stepsize= 1.000000 
-dualbound = 2480719.286666, lowerbound=1156168.286666, norm of subgrad 1075.953199	dualbound = 2480719.286666, lowerbound=1156168.286666, norm of subgrad 40.938033	 stepsize= 1.000000 
-dualbound = 2480925.079340, lowerbound=1156583.079340, norm of subgrad 1076.131999	dualbound = 2480925.079340, lowerbound=1156583.079340, norm of subgrad 41.021856	 stepsize= 1.000000 
-dualbound = 2481113.915445, lowerbound=1162981.915445, norm of subgrad 1079.116729	dualbound = 2481113.915445, lowerbound=1162981.915445, norm of subgrad 41.229069	 stepsize= 1.000000 
-dualbound = 2481317.043901, lowerbound=1154104.043901, norm of subgrad 1074.961880	dualbound = 2481317.043901, lowerbound=1154104.043901, norm of subgrad 40.523184	 stepsize= 1.000000 
-dualbound = 2481499.530382, lowerbound=1160648.530382, norm of subgrad 1078.016943	dualbound = 2481499.530382, lowerbound=1160648.530382, norm of subgrad 40.675379	 stepsize= 1.000000 
-dualbound = 2481690.180108, lowerbound=1159076.180108, norm of subgrad 1077.280920	dualbound = 2481690.180108, lowerbound=1159076.180108, norm of subgrad 40.603568	 stepsize= 1.000000 
-dualbound = 2481881.404940, lowerbound=1162360.404940, norm of subgrad 1078.840769	dualbound = 2481881.404940, lowerbound=1162360.404940, norm of subgrad 41.571924	 stepsize= 1.000000 
-dualbound = 2482028.036681, lowerbound=1155006.036681, norm of subgrad 1075.435278	dualbound = 2482028.036681, lowerbound=1155006.036681, norm of subgrad 41.250839	 stepsize= 1.000000 
-dualbound = 2482248.260076, lowerbound=1157932.260076, norm of subgrad 1076.797688	dualbound = 2482248.260076, lowerbound=1157932.260076, norm of subgrad 42.204542	 stepsize= 1.000000 
-dualbound = 2482406.799462, lowerbound=1158261.799462, norm of subgrad 1076.978087	dualbound = 2482406.799462, lowerbound=1158261.799462, norm of subgrad 42.172733	 stepsize= 1.000000 
-dualbound = 2482603.901789, lowerbound=1157942.901789, norm of subgrad 1076.790092	dualbound = 2482603.901789, lowerbound=1157942.901789, norm of subgrad 41.606518	 stepsize= 1.000000 
-dualbound = 2482849.300464, lowerbound=1156759.300464, norm of subgrad 1076.203652	dualbound = 2482849.300464, lowerbound=1156759.300464, norm of subgrad 41.235891	 stepsize= 1.000000 
-dualbound = 2483019.517595, lowerbound=1164156.517595, norm of subgrad 1079.651572	dualbound = 2483019.517595, lowerbound=1164156.517595, norm of subgrad 40.758031	 stepsize= 1.000000 
-dualbound = 2483214.685408, lowerbound=1155818.685408, norm of subgrad 1075.761909	dualbound = 2483214.685408, lowerbound=1155818.685408, norm of subgrad 40.498985	 stepsize= 1.000000 
-dualbound = 2483392.556478, lowerbound=1161426.556478, norm of subgrad 1078.391653	dualbound = 2483392.556478, lowerbound=1161426.556478, norm of subgrad 40.986230	 stepsize= 1.000000 
-dualbound = 2483582.322932, lowerbound=1156474.322932, norm of subgrad 1076.101911	dualbound = 2483582.322932, lowerbound=1156474.322932, norm of subgrad 41.361413	 stepsize= 1.000000 
-dualbound = 2483764.716500, lowerbound=1157772.716500, norm of subgrad 1076.674843	dualbound = 2483764.716500, lowerbound=1157772.716500, norm of subgrad 40.477075	 stepsize= 1.000000 
-dualbound = 2483978.102104, lowerbound=1157995.102104, norm of subgrad 1076.789256	dualbound = 2483978.102104, lowerbound=1157995.102104, norm of subgrad 41.150767	 stepsize= 1.000000 
-dualbound = 2484149.656128, lowerbound=1160365.656128, norm of subgrad 1077.908464	dualbound = 2484149.656128, lowerbound=1160365.656128, norm of subgrad 41.140661	 stepsize= 1.000000 
-dualbound = 2484351.084308, lowerbound=1158385.084308, norm of subgrad 1076.954077	dualbound = 2484351.084308, lowerbound=1158385.084308, norm of subgrad 40.576202	 stepsize= 1.000000 
-dualbound = 2484567.704681, lowerbound=1159565.704681, norm of subgrad 1077.515060	dualbound = 2484567.704681, lowerbound=1159565.704681, norm of subgrad 41.104992	 stepsize= 1.000000 
-dualbound = 2484732.614007, lowerbound=1157286.614007, norm of subgrad 1076.466727	dualbound = 2484732.614007, lowerbound=1157286.614007, norm of subgrad 40.729711	 stepsize= 1.000000 
-dualbound = 2484918.211247, lowerbound=1158802.211247, norm of subgrad 1077.189961	dualbound = 2484918.211247, lowerbound=1158802.211247, norm of subgrad 41.492135	 stepsize= 1.000000 
-dualbound = 2485100.840503, lowerbound=1161187.840503, norm of subgrad 1078.311106	dualbound = 2485100.840503, lowerbound=1161187.840503, norm of subgrad 41.828570	 stepsize= 1.000000 
-dualbound = 2485285.024614, lowerbound=1156841.024614, norm of subgrad 1076.290400	dualbound = 2485285.024614, lowerbound=1156841.024614, norm of subgrad 41.763430	 stepsize= 1.000000 
-dualbound = 2485468.393782, lowerbound=1156295.393782, norm of subgrad 1076.039680	dualbound = 2485468.393782, lowerbound=1156295.393782, norm of subgrad 41.825461	 stepsize= 1.000000 
-dualbound = 2485691.921187, lowerbound=1162544.921187, norm of subgrad 1078.911452	dualbound = 2485691.921187, lowerbound=1162544.921187, norm of subgrad 41.575563	 stepsize= 1.000000 
-dualbound = 2485880.471165, lowerbound=1156768.471165, norm of subgrad 1076.262269	dualbound = 2485880.471165, lowerbound=1156768.471165, norm of subgrad 41.958908	 stepsize= 1.000000 
-dualbound = 2486034.338219, lowerbound=1160132.338219, norm of subgrad 1077.809509	dualbound = 2486034.338219, lowerbound=1160132.338219, norm of subgrad 41.168763	 stepsize= 1.000000 
-dualbound = 2486272.313577, lowerbound=1157277.313577, norm of subgrad 1076.463336	dualbound = 2486272.313577, lowerbound=1157277.313577, norm of subgrad 41.641030	 stepsize= 1.000000 
-dualbound = 2486432.315279, lowerbound=1161946.315279, norm of subgrad 1078.622416	dualbound = 2486432.315279, lowerbound=1161946.315279, norm of subgrad 40.496934	 stepsize= 1.000000 
-dualbound = 2486622.440525, lowerbound=1156604.440525, norm of subgrad 1076.156792	dualbound = 2486622.440525, lowerbound=1156604.440525, norm of subgrad 41.220447	 stepsize= 1.000000 
-dualbound = 2486832.694833, lowerbound=1158967.694833, norm of subgrad 1077.244956	dualbound = 2486832.694833, lowerbound=1158967.694833, norm of subgrad 41.222012	 stepsize= 1.000000 
-dualbound = 2487018.693445, lowerbound=1157757.693445, norm of subgrad 1076.684120	dualbound = 2487018.693445, lowerbound=1157757.693445, norm of subgrad 40.951174	 stepsize= 1.000000 
-dualbound = 2487207.443442, lowerbound=1158490.443442, norm of subgrad 1076.990921	dualbound = 2487207.443442, lowerbound=1158490.443442, norm of subgrad 40.096758	 stepsize= 1.000000 
-dualbound = 2487411.929150, lowerbound=1158651.929150, norm of subgrad 1077.090957	dualbound = 2487411.929150, lowerbound=1158651.929150, norm of subgrad 40.957120	 stepsize= 1.000000 
-dualbound = 2487584.862472, lowerbound=1157231.862472, norm of subgrad 1076.443618	dualbound = 2487584.862472, lowerbound=1157231.862472, norm of subgrad 40.889281	 stepsize= 1.000000 
-dualbound = 2487782.560737, lowerbound=1161087.560737, norm of subgrad 1078.222872	dualbound = 2487782.560737, lowerbound=1161087.560737, norm of subgrad 40.923077	 stepsize= 1.000000 
-dualbound = 2487972.691177, lowerbound=1159050.691177, norm of subgrad 1077.283014	dualbound = 2487972.691177, lowerbound=1159050.691177, norm of subgrad 40.964990	 stepsize= 1.000000 
-dualbound = 2488182.132853, lowerbound=1161160.132853, norm of subgrad 1078.251887	dualbound = 2488182.132853, lowerbound=1161160.132853, norm of subgrad 40.944373	 stepsize= 1.000000 
-dualbound = 2488346.265902, lowerbound=1159015.265902, norm of subgrad 1077.260073	dualbound = 2488346.265902, lowerbound=1159015.265902, norm of subgrad 40.473856	 stepsize= 1.000000 
-dualbound = 2488568.547081, lowerbound=1158453.547081, norm of subgrad 1077.000718	dualbound = 2488568.547081, lowerbound=1158453.547081, norm of subgrad 41.222338	 stepsize= 1.000000 
-dualbound = 2488733.534240, lowerbound=1160533.534240, norm of subgrad 1077.981231	dualbound = 2488733.534240, lowerbound=1160533.534240, norm of subgrad 40.926607	 stepsize= 1.000000 
-dualbound = 2488917.080088, lowerbound=1160671.080088, norm of subgrad 1078.047346	dualbound = 2488917.080088, lowerbound=1160671.080088, norm of subgrad 41.213418	 stepsize= 1.000000 
-dualbound = 2489117.212189, lowerbound=1159574.212189, norm of subgrad 1077.523184	dualbound = 2489117.212189, lowerbound=1159574.212189, norm of subgrad 41.013804	 stepsize= 1.000000 
-dualbound = 2489295.813520, lowerbound=1154544.813520, norm of subgrad 1075.187339	dualbound = 2489295.813520, lowerbound=1154544.813520, norm of subgrad 40.762744	 stepsize= 1.000000 
-dualbound = 2489494.667703, lowerbound=1158913.667703, norm of subgrad 1077.226841	dualbound = 2489494.667703, lowerbound=1158913.667703, norm of subgrad 41.265654	 stepsize= 1.000000 
-dualbound = 2489691.173665, lowerbound=1159293.173665, norm of subgrad 1077.401584	dualbound = 2489691.173665, lowerbound=1159293.173665, norm of subgrad 41.200800	 stepsize= 1.000000 
-dualbound = 2489875.498052, lowerbound=1161126.498052, norm of subgrad 1078.257621	dualbound = 2489875.498052, lowerbound=1161126.498052, norm of subgrad 41.198597	 stepsize= 1.000000 
-dualbound = 2490062.130251, lowerbound=1158833.130251, norm of subgrad 1077.177390	dualbound = 2490062.130251, lowerbound=1158833.130251, norm of subgrad 40.799904	 stepsize= 1.000000 
-dualbound = 2490272.896598, lowerbound=1162167.896598, norm of subgrad 1078.739031	dualbound = 2490272.896598, lowerbound=1162167.896598, norm of subgrad 41.482121	 stepsize= 1.000000 
-dualbound = 2490436.873973, lowerbound=1157000.873973, norm of subgrad 1076.360011	dualbound = 2490436.873973, lowerbound=1157000.873973, norm of subgrad 41.400210	 stepsize= 1.000000 
-dualbound = 2490607.592780, lowerbound=1155290.592780, norm of subgrad 1075.533632	dualbound = 2490607.592780, lowerbound=1155290.592780, norm of subgrad 40.653644	 stepsize= 1.000000 
-dualbound = 2490820.721569, lowerbound=1159324.721569, norm of subgrad 1077.408336	dualbound = 2490820.721569, lowerbound=1159324.721569, norm of subgrad 41.196223	 stepsize= 1.000000 
-dualbound = 2491008.758619, lowerbound=1164953.758619, norm of subgrad 1080.040165	dualbound = 2491008.758619, lowerbound=1164953.758619, norm of subgrad 41.485384	 stepsize= 1.000000 
-dualbound = 2491183.244815, lowerbound=1155554.244815, norm of subgrad 1075.661771	dualbound = 2491183.244815, lowerbound=1155554.244815, norm of subgrad 40.847108	 stepsize= 1.000000 
-dualbound = 2491374.087258, lowerbound=1162056.087258, norm of subgrad 1078.688596	dualbound = 2491374.087258, lowerbound=1162056.087258, norm of subgrad 41.277626	 stepsize= 1.000000 
-dualbound = 2491559.764425, lowerbound=1161220.764425, norm of subgrad 1078.300405	dualbound = 2491559.764425, lowerbound=1161220.764425, norm of subgrad 41.190741	 stepsize= 1.000000 
-dualbound = 2491764.796275, lowerbound=1159006.796275, norm of subgrad 1077.257071	dualbound = 2491764.796275, lowerbound=1159006.796275, norm of subgrad 41.000388	 stepsize= 1.000000 
-dualbound = 2491966.997053, lowerbound=1156400.997053, norm of subgrad 1076.070164	dualbound = 2491966.997053, lowerbound=1156400.997053, norm of subgrad 41.571634	 stepsize= 1.000000 
-dualbound = 2492128.483565, lowerbound=1158898.483565, norm of subgrad 1077.222114	dualbound = 2492128.483565, lowerbound=1158898.483565, norm of subgrad 40.871586	 stepsize= 1.000000 
-dualbound = 2492338.271026, lowerbound=1159972.271026, norm of subgrad 1077.703703	dualbound = 2492338.271026, lowerbound=1159972.271026, norm of subgrad 41.021793	 stepsize= 1.000000 
-dualbound = 2492531.783219, lowerbound=1161543.783219, norm of subgrad 1078.425604	dualbound = 2492531.783219, lowerbound=1161543.783219, norm of subgrad 40.638802	 stepsize= 1.000000 
-dualbound = 2492726.528350, lowerbound=1159059.528350, norm of subgrad 1077.280153	dualbound = 2492726.528350, lowerbound=1159059.528350, norm of subgrad 40.838035	 stepsize= 1.000000 
-dualbound = 2492934.689168, lowerbound=1158208.689168, norm of subgrad 1076.891679	dualbound = 2492934.689168, lowerbound=1158208.689168, norm of subgrad 41.172331	 stepsize= 1.000000 
-dualbound = 2493094.370442, lowerbound=1159602.370442, norm of subgrad 1077.557131	dualbound = 2493094.370442, lowerbound=1159602.370442, norm of subgrad 41.069225	 stepsize= 1.000000 
-dualbound = 2493292.990016, lowerbound=1160977.990016, norm of subgrad 1078.142379	dualbound = 2493292.990016, lowerbound=1160977.990016, norm of subgrad 40.144982	 stepsize= 1.000000 
-dualbound = 2493494.721336, lowerbound=1159451.721336, norm of subgrad 1077.485833	dualbound = 2493494.721336, lowerbound=1159451.721336, norm of subgrad 41.541922	 stepsize= 1.000000 
-dualbound = 2493651.989299, lowerbound=1158426.989299, norm of subgrad 1077.017636	dualbound = 2493651.989299, lowerbound=1158426.989299, norm of subgrad 41.197912	 stepsize= 1.000000 
-dualbound = 2493855.124012, lowerbound=1160041.124012, norm of subgrad 1077.757915	dualbound = 2493855.124012, lowerbound=1160041.124012, norm of subgrad 41.522701	 stepsize= 1.000000 
-dualbound = 2494055.061433, lowerbound=1155705.061433, norm of subgrad 1075.722112	dualbound = 2494055.061433, lowerbound=1155705.061433, norm of subgrad 40.901558	 stepsize= 1.000000 
-dualbound = 2494227.278743, lowerbound=1158600.278743, norm of subgrad 1077.069301	dualbound = 2494227.278743, lowerbound=1158600.278743, norm of subgrad 40.622867	 stepsize= 1.000000 
-dualbound = 2494422.577904, lowerbound=1161443.577904, norm of subgrad 1078.367552	dualbound = 2494422.577904, lowerbound=1161443.577904, norm of subgrad 40.352189	 stepsize= 1.000000 
-dualbound = 2494629.470196, lowerbound=1158812.470196, norm of subgrad 1077.165015	dualbound = 2494629.470196, lowerbound=1158812.470196, norm of subgrad 40.974288	 stepsize= 1.000000 
-dualbound = 2494791.297705, lowerbound=1161255.297705, norm of subgrad 1078.298334	dualbound = 2494791.297705, lowerbound=1161255.297705, norm of subgrad 40.420632	 stepsize= 1.000000 
-dualbound = 2494972.484063, lowerbound=1159184.484063, norm of subgrad 1077.363673	dualbound = 2494972.484063, lowerbound=1159184.484063, norm of subgrad 41.342307	 stepsize= 1.000000 
-dualbound = 2495179.295245, lowerbound=1159871.295245, norm of subgrad 1077.671237	dualbound = 2495179.295245, lowerbound=1159871.295245, norm of subgrad 41.361953	 stepsize= 1.000000 
-dualbound = 2495358.054378, lowerbound=1159143.054378, norm of subgrad 1077.333307	dualbound = 2495358.054378, lowerbound=1159143.054378, norm of subgrad 41.021447	 stepsize= 1.000000 
-dualbound = 2495557.520041, lowerbound=1159217.520041, norm of subgrad 1077.379005	dualbound = 2495557.520041, lowerbound=1159217.520041, norm of subgrad 41.562792	 stepsize= 1.000000 
-dualbound = 2495727.651513, lowerbound=1156893.651513, norm of subgrad 1076.295337	dualbound = 2495727.651513, lowerbound=1156893.651513, norm of subgrad 41.086877	 stepsize= 1.000000 
-dualbound = 2495921.148787, lowerbound=1158948.148787, norm of subgrad 1077.253057	dualbound = 2495921.148787, lowerbound=1158948.148787, norm of subgrad 41.466821	 stepsize= 1.000000 
-dualbound = 2496122.941503, lowerbound=1162443.941503, norm of subgrad 1078.853531	dualbound = 2496122.941503, lowerbound=1162443.941503, norm of subgrad 41.021857	 stepsize= 1.000000 
-dualbound = 2496298.231889, lowerbound=1160093.231889, norm of subgrad 1077.783017	dualbound = 2496298.231889, lowerbound=1160093.231889, norm of subgrad 41.210319	 stepsize= 1.000000 
-dualbound = 2496498.636005, lowerbound=1159950.636005, norm of subgrad 1077.702480	dualbound = 2496498.636005, lowerbound=1159950.636005, norm of subgrad 41.138840	 stepsize= 1.000000 
-dualbound = 2496675.789007, lowerbound=1158628.789007, norm of subgrad 1077.102033	dualbound = 2496675.789007, lowerbound=1158628.789007, norm of subgrad 41.196517	 stepsize= 1.000000 
-dualbound = 2496863.120291, lowerbound=1159463.120291, norm of subgrad 1077.477666	dualbound = 2496863.120291, lowerbound=1159463.120291, norm of subgrad 41.016232	 stepsize= 1.000000 
-dualbound = 2497064.537317, lowerbound=1160036.537317, norm of subgrad 1077.740014	dualbound = 2497064.537317, lowerbound=1160036.537317, norm of subgrad 41.090352	 stepsize= 1.000000 
-dualbound = 2497232.462524, lowerbound=1155533.462524, norm of subgrad 1075.662801	dualbound = 2497232.462524, lowerbound=1155533.462524, norm of subgrad 41.047840	 stepsize= 1.000000 
-dualbound = 2497439.370793, lowerbound=1159286.370793, norm of subgrad 1077.388681	dualbound = 2497439.370793, lowerbound=1159286.370793, norm of subgrad 41.071989	 stepsize= 1.000000 
-dualbound = 2497624.557226, lowerbound=1164762.557226, norm of subgrad 1079.935441	dualbound = 2497624.557226, lowerbound=1164762.557226, norm of subgrad 41.026655	 stepsize= 1.000000 
-dualbound = 2497802.598726, lowerbound=1161761.598726, norm of subgrad 1078.564601	dualbound = 2497802.598726, lowerbound=1161761.598726, norm of subgrad 41.449264	 stepsize= 1.000000 
-dualbound = 2498013.109287, lowerbound=1157260.109287, norm of subgrad 1076.439552	dualbound = 2498013.109287, lowerbound=1157260.109287, norm of subgrad 40.896339	 stepsize= 1.000000 
-dualbound = 2498181.289407, lowerbound=1153890.289407, norm of subgrad 1074.871755	dualbound = 2498181.289407, lowerbound=1153890.289407, norm of subgrad 40.338321	 stepsize= 1.000000 
-dualbound = 2498404.540473, lowerbound=1165261.540473, norm of subgrad 1080.159498	dualbound = 2498404.540473, lowerbound=1165261.540473, norm of subgrad 41.306792	 stepsize= 1.000000 
-dualbound = 2498567.311840, lowerbound=1159317.311840, norm of subgrad 1077.399792	dualbound = 2498567.311840, lowerbound=1159317.311840, norm of subgrad 40.444670	 stepsize= 1.000000 
-dualbound = 2498768.771001, lowerbound=1160290.771001, norm of subgrad 1077.865841	dualbound = 2498768.771001, lowerbound=1160290.771001, norm of subgrad 41.297205	 stepsize= 1.000000 
-dualbound = 2498955.072359, lowerbound=1158579.072359, norm of subgrad 1077.049707	dualbound = 2498955.072359, lowerbound=1158579.072359, norm of subgrad 40.537654	 stepsize= 1.000000 
-dualbound = 2499137.511620, lowerbound=1161351.511620, norm of subgrad 1078.359176	dualbound = 2499137.511620, lowerbound=1161351.511620, norm of subgrad 41.102789	 stepsize= 1.000000 
-dualbound = 2499318.100438, lowerbound=1162366.100438, norm of subgrad 1078.808185	dualbound = 2499318.100438, lowerbound=1162366.100438, norm of subgrad 40.516525	 stepsize= 1.000000 
-dualbound = 2499528.678578, lowerbound=1156092.678578, norm of subgrad 1075.914345	dualbound = 2499528.678578, lowerbound=1156092.678578, norm of subgrad 41.347045	 stepsize= 1.000000 
-dualbound = 2499677.663398, lowerbound=1159847.663398, norm of subgrad 1077.692286	dualbound = 2499677.663398, lowerbound=1159847.663398, norm of subgrad 41.496805	 stepsize= 1.000000 
-dualbound = 2499866.626729, lowerbound=1159590.626729, norm of subgrad 1077.515952	dualbound = 2499866.626729, lowerbound=1159590.626729, norm of subgrad 40.484112	 stepsize= 1.000000 
-dualbound = 2500066.589152, lowerbound=1159992.589152, norm of subgrad 1077.714521	dualbound = 2500066.589152, lowerbound=1159992.589152, norm of subgrad 40.938520	 stepsize= 1.000000 
-dualbound = 2500280.959917, lowerbound=1162161.959917, norm of subgrad 1078.728863	dualbound = 2500280.959917, lowerbound=1162161.959917, norm of subgrad 41.332442	 stepsize= 1.000000 
-dualbound = 2500423.283362, lowerbound=1156717.283362, norm of subgrad 1076.206432	dualbound = 2500423.283362, lowerbound=1156717.283362, norm of subgrad 40.562587	 stepsize= 1.000000 
-dualbound = 2500645.234684, lowerbound=1160831.234683, norm of subgrad 1078.105855	dualbound = 2500645.234684, lowerbound=1160831.234683, norm of subgrad 41.266831	 stepsize= 1.000000 
-dualbound = 2500817.638651, lowerbound=1160029.638651, norm of subgrad 1077.716400	dualbound = 2500817.638651, lowerbound=1160029.638651, norm of subgrad 40.192088	 stepsize= 1.000000 
-dualbound = 2501050.320898, lowerbound=1161457.320898, norm of subgrad 1078.388298	dualbound = 2501050.320898, lowerbound=1161457.320898, norm of subgrad 41.190803	 stepsize= 1.000000 
-dualbound = 2501184.635233, lowerbound=1160395.635233, norm of subgrad 1077.925617	dualbound = 2501184.635233, lowerbound=1160395.635233, norm of subgrad 40.771489	 stepsize= 1.000000 
-dualbound = 2501381.462164, lowerbound=1162067.462164, norm of subgrad 1078.670229	dualbound = 2501381.462164, lowerbound=1162067.462164, norm of subgrad 40.728699	 stepsize= 1.000000 
-dualbound = 2501583.581818, lowerbound=1161747.581818, norm of subgrad 1078.562275	dualbound = 2501583.581818, lowerbound=1161747.581818, norm of subgrad 41.846382	 stepsize= 1.000000 
-dualbound = 2501759.700026, lowerbound=1160195.700026, norm of subgrad 1077.816172	dualbound = 2501759.700026, lowerbound=1160195.700026, norm of subgrad 40.842603	 stepsize= 1.000000 
-dualbound = 2501953.221233, lowerbound=1159263.221233, norm of subgrad 1077.405319	dualbound = 2501953.221233, lowerbound=1159263.221233, norm of subgrad 41.623566	 stepsize= 1.000000 
-dualbound = 2502126.943106, lowerbound=1157723.943106, norm of subgrad 1076.693523	dualbound = 2502126.943106, lowerbound=1157723.943106, norm of subgrad 41.457471	 stepsize= 1.000000 
-dualbound = 2502323.345396, lowerbound=1160430.345396, norm of subgrad 1077.941253	dualbound = 2502323.345396, lowerbound=1160430.345396, norm of subgrad 41.513881	 stepsize= 1.000000 
-dualbound = 2502513.491159, lowerbound=1161082.491159, norm of subgrad 1078.217738	dualbound = 2502513.491159, lowerbound=1161082.491159, norm of subgrad 40.757156	 stepsize= 1.000000 
-dualbound = 2502739.284402, lowerbound=1160698.284402, norm of subgrad 1078.027033	dualbound = 2502739.284402, lowerbound=1160698.284402, norm of subgrad 40.863104	 stepsize= 1.000000 
-dualbound = 2502902.668130, lowerbound=1158883.668130, norm of subgrad 1077.187388	dualbound = 2502902.668130, lowerbound=1158883.668130, norm of subgrad 40.154498	 stepsize= 1.000000 
-dualbound = 2503112.085988, lowerbound=1158095.085988, norm of subgrad 1076.818038	dualbound = 2503112.085988, lowerbound=1158095.085988, norm of subgrad 40.637641	 stepsize= 1.000000 
-dualbound = 2503294.840022, lowerbound=1159359.840022, norm of subgrad 1077.444124	dualbound = 2503294.840022, lowerbound=1159359.840022, norm of subgrad 41.337078	 stepsize= 1.000000 
-dualbound = 2503458.090873, lowerbound=1160822.090873, norm of subgrad 1078.095121	dualbound = 2503458.090873, lowerbound=1160822.090873, norm of subgrad 40.376365	 stepsize= 1.000000 
-dualbound = 2503678.317987, lowerbound=1158423.317987, norm of subgrad 1076.996434	dualbound = 2503678.317987, lowerbound=1158423.317987, norm of subgrad 41.451503	 stepsize= 1.000000 
-dualbound = 2503835.040885, lowerbound=1164441.040885, norm of subgrad 1079.785183	dualbound = 2503835.040885, lowerbound=1164441.040885, norm of subgrad 40.641394	 stepsize= 1.000000 
-dualbound = 2504044.566178, lowerbound=1160883.566178, norm of subgrad 1078.142183	dualbound = 2504044.566178, lowerbound=1160883.566178, norm of subgrad 41.430970	 stepsize= 1.000000 
-dualbound = 2504188.356574, lowerbound=1159378.356574, norm of subgrad 1077.454109	dualbound = 2504188.356574, lowerbound=1159378.356574, norm of subgrad 40.899760	 stepsize= 1.000000 
-dualbound = 2504394.068470, lowerbound=1160289.068470, norm of subgrad 1077.864123	dualbound = 2504394.068470, lowerbound=1160289.068470, norm of subgrad 41.324471	 stepsize= 1.000000 
-dualbound = 2504596.629492, lowerbound=1162133.629492, norm of subgrad 1078.708315	dualbound = 2504596.629492, lowerbound=1162133.629492, norm of subgrad 40.994646	 stepsize= 1.000000 
-dualbound = 2504760.148637, lowerbound=1156944.148637, norm of subgrad 1076.320653	dualbound = 2504760.148637, lowerbound=1156944.148637, norm of subgrad 41.055075	 stepsize= 1.000000 
-dualbound = 2504955.565574, lowerbound=1163516.565574, norm of subgrad 1079.363037	dualbound = 2504955.565574, lowerbound=1163516.565574, norm of subgrad 41.272472	 stepsize= 1.000000 
-dualbound = 2505148.751720, lowerbound=1160288.751720, norm of subgrad 1077.864904	dualbound = 2505148.751720, lowerbound=1160288.751720, norm of subgrad 41.196919	 stepsize= 1.000000 
-dualbound = 2505327.240293, lowerbound=1160772.240293, norm of subgrad 1078.056232	dualbound = 2505327.240293, lowerbound=1160772.240293, norm of subgrad 40.143350	 stepsize= 1.000000 
-dualbound = 2505572.334978, lowerbound=1159058.334978, norm of subgrad 1077.300949	dualbound = 2505572.334978, lowerbound=1159058.334978, norm of subgrad 42.001127	 stepsize= 1.000000 
-dualbound = 2505684.706087, lowerbound=1162278.706087, norm of subgrad 1078.791317	dualbound = 2505684.706087, lowerbound=1162278.706087, norm of subgrad 40.303488	 stepsize= 1.000000 
-dualbound = 2505907.882668, lowerbound=1157447.882668, norm of subgrad 1076.525375	dualbound = 2505907.882668, lowerbound=1157447.882668, norm of subgrad 41.014346	 stepsize= 1.000000 
-dualbound = 2506114.421624, lowerbound=1162021.421624, norm of subgrad 1078.656304	dualbound = 2506114.421624, lowerbound=1162021.421624, norm of subgrad 41.043135	 stepsize= 1.000000 
-dualbound = 2506315.346886, lowerbound=1157015.346886, norm of subgrad 1076.336075	dualbound = 2506315.346886, lowerbound=1157015.346886, norm of subgrad 41.047841	 stepsize= 1.000000 
-dualbound = 2506443.960075, lowerbound=1157999.960075, norm of subgrad 1076.844910	dualbound = 2506443.960075, lowerbound=1157999.960075, norm of subgrad 41.516421	 stepsize= 1.000000 
-dualbound = 2506653.358637, lowerbound=1159854.358637, norm of subgrad 1077.703279	dualbound = 2506653.358637, lowerbound=1159854.358637, norm of subgrad 42.419318	 stepsize= 1.000000 
-dualbound = 2506824.746522, lowerbound=1165258.746522, norm of subgrad 1080.164685	dualbound = 2506824.746522, lowerbound=1165258.746522, norm of subgrad 40.845904	 stepsize= 1.000000 
-dualbound = 2507085.623199, lowerbound=1157576.623199, norm of subgrad 1076.585632	dualbound = 2507085.623199, lowerbound=1157576.623199, norm of subgrad 41.483451	 stepsize= 1.000000 
-dualbound = 2507242.324014, lowerbound=1161402.324014, norm of subgrad 1078.387836	dualbound = 2507242.324014, lowerbound=1161402.324014, norm of subgrad 40.923109	 stepsize= 1.000000 
-dualbound = 2507407.033302, lowerbound=1161176.033301, norm of subgrad 1078.271317	dualbound = 2507407.033302, lowerbound=1161176.033301, norm of subgrad 40.714976	 stepsize= 1.000000 
-dualbound = 2507621.058990, lowerbound=1157576.058990, norm of subgrad 1076.563542	dualbound = 2507621.058990, lowerbound=1157576.058990, norm of subgrad 40.336406	 stepsize= 1.000000 
-dualbound = 2507841.589210, lowerbound=1158755.589210, norm of subgrad 1077.119580	dualbound = 2507841.589210, lowerbound=1158755.589210, norm of subgrad 40.639023	 stepsize= 1.000000 
-dualbound = 2507984.061832, lowerbound=1164642.061832, norm of subgrad 1079.841221	dualbound = 2507984.061832, lowerbound=1164642.061832, norm of subgrad 39.464828	 stepsize= 1.000000 
-dualbound = 2508207.972726, lowerbound=1159208.972726, norm of subgrad 1077.329556	dualbound = 2508207.972726, lowerbound=1159208.972726, norm of subgrad 40.668303	 stepsize= 1.000000 
-dualbound = 2508371.983231, lowerbound=1164236.983231, norm of subgrad 1079.668460	dualbound = 2508371.983231, lowerbound=1164236.983231, norm of subgrad 40.137395	 stepsize= 1.000000 
-dualbound = 2508549.072882, lowerbound=1156095.072882, norm of subgrad 1075.903840	dualbound = 2508549.072882, lowerbound=1156095.072882, norm of subgrad 40.633602	 stepsize= 1.000000 
-dualbound = 2508739.352691, lowerbound=1164743.352691, norm of subgrad 1079.940902	dualbound = 2508739.352691, lowerbound=1164743.352691, norm of subgrad 41.464199	 stepsize= 1.000000 
-dualbound = 2508899.523997, lowerbound=1158697.523997, norm of subgrad 1077.172467	dualbound = 2508899.523997, lowerbound=1158697.523997, norm of subgrad 41.990133	 stepsize= 1.000000 
-dualbound = 2509090.148986, lowerbound=1161973.148986, norm of subgrad 1078.664521	dualbound = 2509090.148986, lowerbound=1161973.148986, norm of subgrad 41.648829	 stepsize= 1.000000 
-dualbound = 2509308.286350, lowerbound=1158888.286350, norm of subgrad 1077.190460	dualbound = 2509308.286350, lowerbound=1158888.286350, norm of subgrad 40.855078	 stepsize= 1.000000 
-dualbound = 2509481.051730, lowerbound=1162744.051730, norm of subgrad 1078.977781	dualbound = 2509481.051730, lowerbound=1162744.051730, norm of subgrad 40.271148	 stepsize= 1.000000 
-dualbound = 2509670.332766, lowerbound=1159824.332766, norm of subgrad 1077.681926	dualbound = 2509670.332766, lowerbound=1159824.332766, norm of subgrad 41.991440	 stepsize= 1.000000 
-dualbound = 2509858.785607, lowerbound=1160543.785607, norm of subgrad 1077.987377	dualbound = 2509858.785607, lowerbound=1160543.785607, norm of subgrad 41.248671	 stepsize= 1.000000 
-dualbound = 2510054.578419, lowerbound=1161617.578419, norm of subgrad 1078.481144	dualbound = 2510054.578419, lowerbound=1161617.578419, norm of subgrad 41.228544	 stepsize= 1.000000 
-dualbound = 2510230.760024, lowerbound=1161159.760024, norm of subgrad 1078.284174	dualbound = 2510230.760024, lowerbound=1161159.760024, norm of subgrad 41.390598	 stepsize= 1.000000 
-dualbound = 2510402.390726, lowerbound=1159397.390726, norm of subgrad 1077.484752	dualbound = 2510402.390726, lowerbound=1159397.390726, norm of subgrad 41.804673	 stepsize= 1.000000 
-dualbound = 2510624.358764, lowerbound=1162113.358764, norm of subgrad 1078.714216	dualbound = 2510624.358764, lowerbound=1162113.358764, norm of subgrad 41.628933	 stepsize= 1.000000 
-dualbound = 2510785.059635, lowerbound=1160515.059635, norm of subgrad 1077.967560	dualbound = 2510785.059635, lowerbound=1160515.059635, norm of subgrad 40.739426	 stepsize= 1.000000 
-dualbound = 2510975.635329, lowerbound=1161580.635329, norm of subgrad 1078.469117	dualbound = 2510975.635329, lowerbound=1161580.635329, norm of subgrad 41.298616	 stepsize= 1.000000 
-dualbound = 2511181.658182, lowerbound=1161504.658182, norm of subgrad 1078.394945	dualbound = 2511181.658182, lowerbound=1161504.658182, norm of subgrad 40.460139	 stepsize= 1.000000 
-dualbound = 2511385.556640, lowerbound=1162101.556640, norm of subgrad 1078.686496	dualbound = 2511385.556640, lowerbound=1162101.556640, norm of subgrad 40.827668	 stepsize= 1.000000 
-dualbound = 2511534.293430, lowerbound=1162775.293430, norm of subgrad 1079.024232	dualbound = 2511534.293430, lowerbound=1162775.293430, norm of subgrad 40.825688	 stepsize= 1.000000 
-dualbound = 2511743.121072, lowerbound=1161566.121072, norm of subgrad 1078.433642	dualbound = 2511743.121072, lowerbound=1161566.121072, norm of subgrad 40.765520	 stepsize= 1.000000 
-dualbound = 2511913.476091, lowerbound=1163555.476091, norm of subgrad 1079.380135	dualbound = 2511913.476091, lowerbound=1163555.476091, norm of subgrad 40.943315	 stepsize= 1.000000 
-dualbound = 2512116.049406, lowerbound=1161831.049406, norm of subgrad 1078.572227	dualbound = 2512116.049406, lowerbound=1161831.049406, norm of subgrad 41.104420	 stepsize= 1.000000 
-dualbound = 2512283.620050, lowerbound=1162344.620050, norm of subgrad 1078.816305	dualbound = 2512283.620050, lowerbound=1162344.620050, norm of subgrad 40.835899	 stepsize= 1.000000 
-dualbound = 2512485.518066, lowerbound=1160686.518066, norm of subgrad 1078.048477	dualbound = 2512485.518066, lowerbound=1160686.518066, norm of subgrad 41.278300	 stepsize= 1.000000 
-dualbound = 2512657.092879, lowerbound=1160385.092879, norm of subgrad 1077.913305	dualbound = 2512657.092879, lowerbound=1160385.092879, norm of subgrad 41.031388	 stepsize= 1.000000 
-dualbound = 2512860.377497, lowerbound=1161821.377497, norm of subgrad 1078.555690	dualbound = 2512860.377497, lowerbound=1161821.377497, norm of subgrad 40.795645	 stepsize= 1.000000 
-dualbound = 2513063.907929, lowerbound=1160326.907929, norm of subgrad 1077.871471	dualbound = 2513063.907929, lowerbound=1160326.907929, norm of subgrad 41.030847	 stepsize= 1.000000 
-dualbound = 2513221.093615, lowerbound=1160657.093615, norm of subgrad 1078.035757	dualbound = 2513221.093615, lowerbound=1160657.093615, norm of subgrad 40.757646	 stepsize= 1.000000 
-dualbound = 2513412.636690, lowerbound=1163910.636690, norm of subgrad 1079.525654	dualbound = 2513412.636690, lowerbound=1163910.636690, norm of subgrad 40.700652	 stepsize= 1.000000 
-dualbound = 2513612.476617, lowerbound=1160710.476617, norm of subgrad 1078.069792	dualbound = 2513612.476617, lowerbound=1160710.476617, norm of subgrad 41.519151	 stepsize= 1.000000 
-dualbound = 2513782.137736, lowerbound=1160568.137736, norm of subgrad 1078.005166	dualbound = 2513782.137736, lowerbound=1160568.137736, norm of subgrad 41.190546	 stepsize= 1.000000 
-dualbound = 2513962.292539, lowerbound=1162313.292539, norm of subgrad 1078.807811	dualbound = 2513962.292539, lowerbound=1162313.292539, norm of subgrad 41.147962	 stepsize= 1.000000 
-dualbound = 2514171.963269, lowerbound=1164013.963269, norm of subgrad 1079.593425	dualbound = 2514171.963269, lowerbound=1164013.963269, norm of subgrad 41.444791	 stepsize= 1.000000 
-dualbound = 2514343.548816, lowerbound=1160993.548816, norm of subgrad 1078.201534	dualbound = 2514343.548816, lowerbound=1160993.548816, norm of subgrad 41.189629	 stepsize= 1.000000 
-dualbound = 2514550.373448, lowerbound=1163020.373448, norm of subgrad 1079.099334	dualbound = 2514550.373448, lowerbound=1163020.373448, norm of subgrad 40.519435	 stepsize= 1.000000 
-dualbound = 2514723.975852, lowerbound=1164328.975852, norm of subgrad 1079.745329	dualbound = 2514723.975852, lowerbound=1164328.975852, norm of subgrad 41.165549	 stepsize= 1.000000 
-dualbound = 2514892.526246, lowerbound=1160572.526246, norm of subgrad 1077.999316	dualbound = 2514892.526246, lowerbound=1160572.526246, norm of subgrad 40.970116	 stepsize= 1.000000 
-dualbound = 2515101.008024, lowerbound=1159550.008024, norm of subgrad 1077.478542	dualbound = 2515101.008024, lowerbound=1159550.008024, norm of subgrad 40.230359	 stepsize= 1.000000 
-dualbound = 2515281.334285, lowerbound=1160187.334285, norm of subgrad 1077.836414	dualbound = 2515281.334285, lowerbound=1160187.334285, norm of subgrad 41.525008	 stepsize= 1.000000 
-dualbound = 2515457.272352, lowerbound=1164807.272352, norm of subgrad 1079.963551	dualbound = 2515457.272352, lowerbound=1164807.272352, norm of subgrad 41.108856	 stepsize= 1.000000 
-dualbound = 2515651.681221, lowerbound=1162465.681221, norm of subgrad 1078.863143	dualbound = 2515651.681221, lowerbound=1162465.681221, norm of subgrad 40.919541	 stepsize= 1.000000 
-dualbound = 2515852.228699, lowerbound=1160134.228699, norm of subgrad 1077.785335	dualbound = 2515852.228699, lowerbound=1160134.228699, norm of subgrad 41.079770	 stepsize= 1.000000 
-dualbound = 2516033.272146, lowerbound=1162258.272146, norm of subgrad 1078.777212	dualbound = 2516033.272146, lowerbound=1162258.272146, norm of subgrad 41.024913	 stepsize= 1.000000 
-dualbound = 2516174.008976, lowerbound=1162512.008976, norm of subgrad 1078.943469	dualbound = 2516174.008976, lowerbound=1162512.008976, norm of subgrad 41.805943	 stepsize= 1.000000 
-dualbound = 2516406.138113, lowerbound=1163271.138113, norm of subgrad 1079.241928	dualbound = 2516406.138113, lowerbound=1163271.138113, norm of subgrad 41.522634	 stepsize= 1.000000 
-dualbound = 2516567.287305, lowerbound=1161593.287305, norm of subgrad 1078.463855	dualbound = 2516567.287305, lowerbound=1161593.287305, norm of subgrad 40.646638	 stepsize= 1.000000 
-dualbound = 2516781.267105, lowerbound=1161410.267105, norm of subgrad 1078.359526	dualbound = 2516781.267105, lowerbound=1161410.267105, norm of subgrad 40.779649	 stepsize= 1.000000 
-dualbound = 2516947.816202, lowerbound=1165337.816202, norm of subgrad 1080.204525	dualbound = 2516947.816202, lowerbound=1165337.816202, norm of subgrad 40.872351	 stepsize= 1.000000 
-dualbound = 2517124.888938, lowerbound=1162240.888938, norm of subgrad 1078.775643	dualbound = 2517124.888938, lowerbound=1162240.888938, norm of subgrad 41.146965	 stepsize= 1.000000 
-dualbound = 2517333.676378, lowerbound=1164939.676378, norm of subgrad 1080.013276	dualbound = 2517333.676378, lowerbound=1164939.676378, norm of subgrad 41.204216	 stepsize= 1.000000 
-dualbound = 2517500.532528, lowerbound=1159841.532528, norm of subgrad 1077.642581	dualbound = 2517500.532528, lowerbound=1159841.532528, norm of subgrad 40.482788	 stepsize= 1.000000 
-dualbound = 2517717.279116, lowerbound=1163311.279116, norm of subgrad 1079.244773	dualbound = 2517717.279116, lowerbound=1163311.279116, norm of subgrad 40.923668	 stepsize= 1.000000 
-dualbound = 2517868.297040, lowerbound=1161208.297040, norm of subgrad 1078.267266	dualbound = 2517868.297040, lowerbound=1161208.297040, norm of subgrad 40.037706	 stepsize= 1.000000 
-dualbound = 2518086.755288, lowerbound=1163826.755288, norm of subgrad 1079.469664	dualbound = 2518086.755288, lowerbound=1163826.755288, norm of subgrad 40.576573	 stepsize= 1.000000 
-dualbound = 2518267.082178, lowerbound=1162780.082178, norm of subgrad 1078.991697	dualbound = 2518267.082178, lowerbound=1162780.082178, norm of subgrad 40.290531	 stepsize= 1.000000 
-dualbound = 2518453.849734, lowerbound=1161903.849734, norm of subgrad 1078.586505	dualbound = 2518453.849734, lowerbound=1161903.849734, norm of subgrad 40.395143	 stepsize= 1.000000 
-dualbound = 2518633.322368, lowerbound=1163491.322368, norm of subgrad 1079.359218	dualbound = 2518633.322368, lowerbound=1163491.322368, norm of subgrad 41.285259	 stepsize= 1.000000 
-dualbound = 2518802.795007, lowerbound=1157327.795007, norm of subgrad 1076.499324	dualbound = 2518802.795007, lowerbound=1157327.795007, norm of subgrad 41.139672	 stepsize= 1.000000 
-dualbound = 2518985.483552, lowerbound=1162594.483552, norm of subgrad 1078.944616	dualbound = 2518985.483552, lowerbound=1162594.483552, norm of subgrad 41.348380	 stepsize= 1.000000 
-dualbound = 2519177.154929, lowerbound=1166088.154929, norm of subgrad 1080.543916	dualbound = 2519177.154929, lowerbound=1166088.154929, norm of subgrad 40.971592	 stepsize= 1.000000 
-dualbound = 2519355.111839, lowerbound=1164314.111839, norm of subgrad 1079.717607	dualbound = 2519355.111839, lowerbound=1164314.111839, norm of subgrad 40.668869	 stepsize= 1.000000 
-dualbound = 2519569.482334, lowerbound=1165957.482334, norm of subgrad 1080.471417	dualbound = 2519569.482334, lowerbound=1165957.482334, norm of subgrad 40.931290	 stepsize= 1.000000 
-dualbound = 2519714.807904, lowerbound=1161430.807904, norm of subgrad 1078.421906	dualbound = 2519714.807904, lowerbound=1161430.807904, norm of subgrad 41.331895	 stepsize= 1.000000 
-dualbound = 2519903.666273, lowerbound=1162567.666273, norm of subgrad 1078.927090	dualbound = 2519903.666273, lowerbound=1162567.666273, norm of subgrad 41.289931	 stepsize= 1.000000 
-dualbound = 2520091.909653, lowerbound=1160928.909653, norm of subgrad 1078.190572	dualbound = 2520091.909653, lowerbound=1160928.909653, norm of subgrad 41.883689	 stepsize= 1.000000 
-dualbound = 2520278.924974, lowerbound=1162829.924974, norm of subgrad 1079.061131	dualbound = 2520278.924974, lowerbound=1162829.924974, norm of subgrad 41.593453	 stepsize= 1.000000 
-dualbound = 2520475.527066, lowerbound=1163021.527066, norm of subgrad 1079.131376	dualbound = 2520475.527066, lowerbound=1163021.527066, norm of subgrad 41.226231	 stepsize= 1.000000 
-dualbound = 2520667.538548, lowerbound=1165523.538548, norm of subgrad 1080.280306	dualbound = 2520667.538548, lowerbound=1165523.538548, norm of subgrad 40.914685	 stepsize= 1.000000 
-dualbound = 2520850.783526, lowerbound=1159988.783526, norm of subgrad 1077.714611	dualbound = 2520850.783526, lowerbound=1159988.783526, norm of subgrad 40.782901	 stepsize= 1.000000 
-dualbound = 2521033.814731, lowerbound=1157717.814731, norm of subgrad 1076.665136	dualbound = 2521033.814731, lowerbound=1157717.814731, norm of subgrad 40.902704	 stepsize= 1.000000 
-dualbound = 2521217.711620, lowerbound=1162797.711620, norm of subgrad 1079.016085	dualbound = 2521217.711620, lowerbound=1162797.711620, norm of subgrad 40.766370	 stepsize= 1.000000 
-dualbound = 2521421.108557, lowerbound=1160750.108557, norm of subgrad 1078.076578	dualbound = 2521421.108557, lowerbound=1160750.108557, norm of subgrad 41.260113	 stepsize= 1.000000 
-dualbound = 2521568.399626, lowerbound=1161778.399626, norm of subgrad 1078.570072	dualbound = 2521568.399626, lowerbound=1161778.399626, norm of subgrad 41.015742	 stepsize= 1.000000 
-dualbound = 2521771.964186, lowerbound=1163002.964186, norm of subgrad 1079.145015	dualbound = 2521771.964186, lowerbound=1163002.964186, norm of subgrad 41.887523	 stepsize= 1.000000 
-dualbound = 2521965.055826, lowerbound=1164396.055826, norm of subgrad 1079.784264	dualbound = 2521965.055826, lowerbound=1164396.055826, norm of subgrad 41.606389	 stepsize= 1.000000 
-dualbound = 2522148.995681, lowerbound=1164797.995681, norm of subgrad 1079.927773	dualbound = 2522148.995681, lowerbound=1164797.995681, norm of subgrad 40.372514	 stepsize= 1.000000 
-dualbound = 2522344.126424, lowerbound=1166145.126424, norm of subgrad 1080.556397	dualbound = 2522344.126424, lowerbound=1166145.126424, norm of subgrad 40.646411	 stepsize= 1.000000 
-dualbound = 2522512.167760, lowerbound=1163318.167760, norm of subgrad 1079.269275	dualbound = 2522512.167760, lowerbound=1163318.167760, norm of subgrad 40.890602	 stepsize= 1.000000 
-dualbound = 2522712.084206, lowerbound=1161212.084206, norm of subgrad 1078.250937	dualbound = 2522712.084206, lowerbound=1161212.084206, norm of subgrad 40.161131	 stepsize= 1.000000 
-dualbound = 2522910.160400, lowerbound=1163695.160400, norm of subgrad 1079.421215	dualbound = 2522910.160400, lowerbound=1163695.160400, norm of subgrad 40.658040	 stepsize= 1.000000 
-dualbound = 2523069.992497, lowerbound=1166756.992497, norm of subgrad 1080.851050	dualbound = 2523069.992497, lowerbound=1166756.992497, norm of subgrad 40.519527	 stepsize= 1.000000 
-dualbound = 2523276.466294, lowerbound=1162537.466294, norm of subgrad 1078.876947	dualbound = 2523276.466294, lowerbound=1162537.466294, norm of subgrad 40.552112	 stepsize= 1.000000 
-dualbound = 2523476.441307, lowerbound=1161363.441307, norm of subgrad 1078.322513	dualbound = 2523476.441307, lowerbound=1161363.441307, norm of subgrad 40.199192	 stepsize= 1.000000 
-dualbound = 2523633.893023, lowerbound=1164849.893023, norm of subgrad 1079.956431	dualbound = 2523633.893023, lowerbound=1164849.893023, norm of subgrad 40.167795	 stepsize= 1.000000 
-dualbound = 2523828.418119, lowerbound=1162022.418119, norm of subgrad 1078.666500	dualbound = 2523828.418119, lowerbound=1162022.418119, norm of subgrad 41.152462	 stepsize= 1.000000 
-dualbound = 2524013.422269, lowerbound=1164882.422269, norm of subgrad 1079.972417	dualbound = 2524013.422269, lowerbound=1164882.422269, norm of subgrad 40.533988	 stepsize= 1.000000 
-dualbound = 2524199.208492, lowerbound=1162776.208492, norm of subgrad 1079.026046	dualbound = 2524199.208492, lowerbound=1162776.208492, norm of subgrad 41.313269	 stepsize= 1.000000 
-dualbound = 2524376.955891, lowerbound=1165671.955891, norm of subgrad 1080.411012	dualbound = 2524376.955891, lowerbound=1165671.955891, norm of subgrad 42.352655	 stepsize= 1.000000 
-dualbound = 2524526.877337, lowerbound=1162180.877337, norm of subgrad 1078.752000	dualbound = 2524526.877337, lowerbound=1162180.877337, norm of subgrad 40.925804	 stepsize= 1.000000 
-dualbound = 2524735.880987, lowerbound=1161760.880987, norm of subgrad 1078.559633	dualbound = 2524735.880987, lowerbound=1161760.880987, norm of subgrad 41.701363	 stepsize= 1.000000 
-dualbound = 2524886.201784, lowerbound=1162565.201784, norm of subgrad 1078.937997	dualbound = 2524886.201784, lowerbound=1162565.201784, norm of subgrad 41.137827	 stepsize= 1.000000 
-dualbound = 2525090.262108, lowerbound=1163827.262108, norm of subgrad 1079.510195	dualbound = 2525090.262108, lowerbound=1163827.262108, norm of subgrad 41.461552	 stepsize= 1.000000 
-dualbound = 2525302.838386, lowerbound=1162244.838386, norm of subgrad 1078.755226	dualbound = 2525302.838386, lowerbound=1162244.838386, norm of subgrad 40.994832	 stepsize= 1.000000 
-dualbound = 2525473.477103, lowerbound=1163983.477103, norm of subgrad 1079.543643	dualbound = 2525473.477103, lowerbound=1163983.477103, norm of subgrad 40.020479	 stepsize= 1.000000 
-dualbound = 2525690.747857, lowerbound=1160603.747857, norm of subgrad 1078.015653	dualbound = 2525690.747857, lowerbound=1160603.747857, norm of subgrad 41.608542	 stepsize= 1.000000 
-dualbound = 2525828.053707, lowerbound=1164969.053707, norm of subgrad 1080.052801	dualbound = 2525828.053707, lowerbound=1164969.053707, norm of subgrad 41.015922	 stepsize= 1.000000 
-dualbound = 2526034.624915, lowerbound=1163683.624915, norm of subgrad 1079.396417	dualbound = 2526034.624915, lowerbound=1163683.624915, norm of subgrad 40.243897	 stepsize= 1.000000 
-dualbound = 2526261.324507, lowerbound=1159134.324507, norm of subgrad 1077.300480	dualbound = 2526261.324507, lowerbound=1159134.324507, norm of subgrad 40.849720	 stepsize= 1.000000 
-dualbound = 2526406.008799, lowerbound=1163067.008799, norm of subgrad 1079.151986	dualbound = 2526406.008799, lowerbound=1163067.008799, norm of subgrad 40.579358	 stepsize= 1.000000 
-dualbound = 2526600.378718, lowerbound=1160093.378718, norm of subgrad 1077.789580	dualbound = 2526600.378718, lowerbound=1160093.378718, norm of subgrad 41.609733	 stepsize= 1.000000 
-dualbound = 2526741.582873, lowerbound=1165561.582873, norm of subgrad 1080.327998	dualbound = 2526741.582873, lowerbound=1165561.582873, norm of subgrad 41.087762	 stepsize= 1.000000 
-dualbound = 2526950.164407, lowerbound=1160774.164407, norm of subgrad 1078.078923	dualbound = 2526950.164407, lowerbound=1160774.164407, norm of subgrad 41.092354	 stepsize= 1.000000 
-dualbound = 2527166.654441, lowerbound=1165878.654441, norm of subgrad 1080.423831	dualbound = 2527166.654441, lowerbound=1165878.654441, norm of subgrad 40.663129	 stepsize= 1.000000 
-dualbound = 2527336.127980, lowerbound=1164454.127980, norm of subgrad 1079.769016	dualbound = 2527336.127980, lowerbound=1164454.127980, norm of subgrad 40.205392	 stepsize= 1.000000 
-dualbound = 2527521.753378, lowerbound=1166560.753378, norm of subgrad 1080.787099	dualbound = 2527521.753378, lowerbound=1166560.753378, norm of subgrad 41.540648	 stepsize= 1.000000 
-dualbound = 2527697.308857, lowerbound=1159415.308857, norm of subgrad 1077.458727	dualbound = 2527697.308857, lowerbound=1159415.308857, norm of subgrad 40.957972	 stepsize= 1.000000 
-dualbound = 2527895.505880, lowerbound=1162701.505880, norm of subgrad 1079.008112	dualbound = 2527895.505880, lowerbound=1162701.505880, norm of subgrad 41.895072	 stepsize= 1.000000 
-dualbound = 2528060.464376, lowerbound=1164655.464376, norm of subgrad 1079.897895	dualbound = 2528060.464376, lowerbound=1164655.464376, norm of subgrad 41.096940	 stepsize= 1.000000 
-dualbound = 2528260.630344, lowerbound=1165893.630344, norm of subgrad 1080.441405	dualbound = 2528260.630344, lowerbound=1165893.630344, norm of subgrad 40.745134	 stepsize= 1.000000 
-dualbound = 2528453.076435, lowerbound=1163232.076435, norm of subgrad 1079.212248	dualbound = 2528453.076435, lowerbound=1163232.076435, norm of subgrad 40.736299	 stepsize= 1.000000 
-dualbound = 2528651.068515, lowerbound=1160972.068515, norm of subgrad 1078.119227	dualbound = 2528651.068515, lowerbound=1160972.068515, norm of subgrad 39.585251	 stepsize= 1.000000 
-dualbound = 2528847.434678, lowerbound=1161364.434678, norm of subgrad 1078.306281	dualbound = 2528847.434678, lowerbound=1161364.434678, norm of subgrad 39.703478	 stepsize= 1.000000 
-dualbound = 2529027.192527, lowerbound=1165128.192527, norm of subgrad 1080.050551	dualbound = 2529027.192527, lowerbound=1165128.192527, norm of subgrad 39.506428	 stepsize= 1.000000 
-dualbound = 2529195.089688, lowerbound=1164018.089688, norm of subgrad 1079.589315	dualbound = 2529195.089688, lowerbound=1164018.089688, norm of subgrad 40.778636	 stepsize= 1.000000 
-dualbound = 2529374.003528, lowerbound=1164844.003528, norm of subgrad 1079.962964	dualbound = 2529374.003528, lowerbound=1164844.003528, norm of subgrad 40.680632	 stepsize= 1.000000 
-dualbound = 2529555.993630, lowerbound=1163154.993630, norm of subgrad 1079.202017	dualbound = 2529555.993630, lowerbound=1163154.993630, norm of subgrad 41.279415	 stepsize= 1.000000 
-dualbound = 2529730.279982, lowerbound=1164492.279982, norm of subgrad 1079.812613	dualbound = 2529730.279982, lowerbound=1164492.279982, norm of subgrad 40.954687	 stepsize= 1.000000 
-dualbound = 2529909.631060, lowerbound=1162795.631060, norm of subgrad 1079.028559	dualbound = 2529909.631060, lowerbound=1162795.631060, norm of subgrad 41.065205	 stepsize= 1.000000 
-dualbound = 2530090.035154, lowerbound=1161489.035154, norm of subgrad 1078.439166	dualbound = 2530090.035154, lowerbound=1161489.035154, norm of subgrad 41.501857	 stepsize= 1.000000 
-dualbound = 2530274.147730, lowerbound=1167045.147730, norm of subgrad 1081.010244	dualbound = 2530274.147730, lowerbound=1167045.147730, norm of subgrad 41.498344	 stepsize= 1.000000 
-dualbound = 2530459.256244, lowerbound=1166322.256244, norm of subgrad 1080.687863	dualbound = 2530459.256244, lowerbound=1166322.256244, norm of subgrad 41.822345	 stepsize= 1.000000 
-dualbound = 2530649.425173, lowerbound=1163881.425173, norm of subgrad 1079.557977	dualbound = 2530649.425173, lowerbound=1163881.425173, norm of subgrad 41.882800	 stepsize= 1.000000 
-dualbound = 2530802.616349, lowerbound=1164629.616349, norm of subgrad 1079.891947	dualbound = 2530802.616349, lowerbound=1164629.616349, norm of subgrad 41.111935	 stepsize= 1.000000 
-dualbound = 2531040.768063, lowerbound=1159026.768063, norm of subgrad 1077.283049	dualbound = 2531040.768063, lowerbound=1159026.768063, norm of subgrad 41.834815	 stepsize= 1.000000 
-dualbound = 2531187.324145, lowerbound=1164450.324145, norm of subgrad 1079.761698	dualbound = 2531187.324145, lowerbound=1164450.324145, norm of subgrad 39.768783	 stepsize= 1.000000 
-dualbound = 2531437.511955, lowerbound=1162793.511955, norm of subgrad 1078.971043	dualbound = 2531437.511955, lowerbound=1162793.511955, norm of subgrad 40.437456	 stepsize= 1.000000 
-dualbound = 2531583.633697, lowerbound=1168421.633697, norm of subgrad 1081.645336	dualbound = 2531583.633697, lowerbound=1168421.633697, norm of subgrad 41.001485	 stepsize= 1.000000 
-dualbound = 2531772.814144, lowerbound=1163761.814144, norm of subgrad 1079.453479	dualbound = 2531772.814144, lowerbound=1163761.814144, norm of subgrad 40.585471	 stepsize= 1.000000 
-dualbound = 2531920.260207, lowerbound=1163001.260207, norm of subgrad 1079.126156	dualbound = 2531920.260207, lowerbound=1163001.260207, norm of subgrad 40.736299	 stepsize= 1.000000 
-dualbound = 2532113.287796, lowerbound=1158388.287796, norm of subgrad 1076.980635	dualbound = 2532113.287796, lowerbound=1158388.287796, norm of subgrad 41.134263	 stepsize= 1.000000 
-dualbound = 2532317.469723, lowerbound=1168885.469723, norm of subgrad 1081.876365	dualbound = 2532317.469723, lowerbound=1168885.469723, norm of subgrad 42.132908	 stepsize= 1.000000 
-dualbound = 2532478.410077, lowerbound=1165658.410077, norm of subgrad 1080.376976	dualbound = 2532478.410077, lowerbound=1165658.410077, norm of subgrad 41.435979	 stepsize= 1.000000 
-dualbound = 2532649.336487, lowerbound=1162150.336487, norm of subgrad 1078.726257	dualbound = 2532649.336487, lowerbound=1162150.336487, norm of subgrad 40.876967	 stepsize= 1.000000 
-dualbound = 2532878.633857, lowerbound=1162626.633857, norm of subgrad 1078.941905	dualbound = 2532878.633857, lowerbound=1162626.633857, norm of subgrad 41.452351	 stepsize= 1.000000 
-dualbound = 2533033.471972, lowerbound=1165305.471972, norm of subgrad 1080.209920	dualbound = 2533033.471972, lowerbound=1165305.471972, norm of subgrad 41.265459	 stepsize= 1.000000 
-dualbound = 2533234.113315, lowerbound=1164861.113315, norm of subgrad 1079.962089	dualbound = 2533234.113315, lowerbound=1164861.113315, norm of subgrad 40.714142	 stepsize= 1.000000 
-dualbound = 2533430.548153, lowerbound=1160299.548153, norm of subgrad 1077.837904	dualbound = 2533430.548153, lowerbound=1160299.548153, norm of subgrad 40.391024	 stepsize= 1.000000 
-dualbound = 2533595.113263, lowerbound=1163013.113263, norm of subgrad 1079.160838	dualbound = 2533595.113263, lowerbound=1163013.113263, norm of subgrad 41.708094	 stepsize= 1.000000 
-dualbound = 2533786.659882, lowerbound=1165162.659882, norm of subgrad 1080.114188	dualbound = 2533786.659882, lowerbound=1165162.659882, norm of subgrad 40.933441	 stepsize= 1.000000 
-dualbound = 2533981.133360, lowerbound=1165688.133360, norm of subgrad 1080.409706	dualbound = 2533981.133360, lowerbound=1165688.133360, norm of subgrad 42.325802	 stepsize= 1.000000 
-dualbound = 2534141.305702, lowerbound=1166798.305702, norm of subgrad 1080.881726	dualbound = 2534141.305702, lowerbound=1166798.305702, norm of subgrad 40.831022	 stepsize= 1.000000 
-dualbound = 2534337.890741, lowerbound=1159572.890741, norm of subgrad 1077.494729	dualbound = 2534337.890741, lowerbound=1159572.890741, norm of subgrad 40.231642	 stepsize= 1.000000 
-dualbound = 2534539.566056, lowerbound=1164136.566057, norm of subgrad 1079.616398	dualbound = 2534539.566056, lowerbound=1164136.566057, norm of subgrad 40.455844	 stepsize= 1.000000 
-dualbound = 2534708.107505, lowerbound=1164667.107505, norm of subgrad 1079.904212	dualbound = 2534708.107505, lowerbound=1164667.107505, norm of subgrad 41.164808	 stepsize= 1.000000 
-dualbound = 2534905.226070, lowerbound=1163708.226070, norm of subgrad 1079.437921	dualbound = 2534905.226070, lowerbound=1163708.226070, norm of subgrad 40.928212	 stepsize= 1.000000 
-dualbound = 2535094.795914, lowerbound=1163108.795914, norm of subgrad 1079.156521	dualbound = 2535094.795914, lowerbound=1163108.795914, norm of subgrad 40.737818	 stepsize= 1.000000 
-dualbound = 2535275.745940, lowerbound=1167016.745940, norm of subgrad 1080.983231	dualbound = 2535275.745940, lowerbound=1167016.745940, norm of subgrad 41.096837	 stepsize= 1.000000 
-dualbound = 2535438.482324, lowerbound=1165745.482324, norm of subgrad 1080.387191	dualbound = 2535438.482324, lowerbound=1165745.482324, norm of subgrad 40.666158	 stepsize= 1.000000 
-dualbound = 2535643.754534, lowerbound=1162829.754534, norm of subgrad 1079.047151	dualbound = 2535643.754534, lowerbound=1162829.754534, norm of subgrad 41.452047	 stepsize= 1.000000 
-dualbound = 2535813.883364, lowerbound=1164634.883364, norm of subgrad 1079.903645	dualbound = 2535813.883364, lowerbound=1164634.883364, norm of subgrad 41.558740	 stepsize= 1.000000 
-dualbound = 2535970.936657, lowerbound=1163567.936657, norm of subgrad 1079.394708	dualbound = 2535970.936657, lowerbound=1163567.936657, norm of subgrad 41.012843	 stepsize= 1.000000 
-dualbound = 2536199.874793, lowerbound=1163813.874793, norm of subgrad 1079.458603	dualbound = 2536199.874793, lowerbound=1163813.874793, norm of subgrad 40.570163	 stepsize= 1.000000 
-dualbound = 2536376.370617, lowerbound=1164346.370617, norm of subgrad 1079.714023	dualbound = 2536376.370617, lowerbound=1164346.370617, norm of subgrad 40.155894	 stepsize= 1.000000 
-dualbound = 2536551.806282, lowerbound=1162713.806282, norm of subgrad 1078.938277	dualbound = 2536551.806282, lowerbound=1162713.806282, norm of subgrad 39.616104	 stepsize= 1.000000 
-dualbound = 2536767.967855, lowerbound=1165904.967855, norm of subgrad 1080.467477	dualbound = 2536767.967855, lowerbound=1165904.967855, norm of subgrad 41.486884	 stepsize= 1.000000 
-dualbound = 2536912.437955, lowerbound=1167363.437955, norm of subgrad 1081.163927	dualbound = 2536912.437955, lowerbound=1167363.437955, norm of subgrad 41.188228	 stepsize= 1.000000 
-dualbound = 2537091.622275, lowerbound=1164018.622275, norm of subgrad 1079.570573	dualbound = 2537091.622275, lowerbound=1164018.622275, norm of subgrad 40.412675	 stepsize= 1.000000 
-dualbound = 2537294.877390, lowerbound=1161043.877390, norm of subgrad 1078.183137	dualbound = 2537294.877390, lowerbound=1161043.877390, norm of subgrad 40.475364	 stepsize= 1.000000 
-dualbound = 2537465.183164, lowerbound=1167508.183164, norm of subgrad 1081.235027	dualbound = 2537465.183164, lowerbound=1167508.183164, norm of subgrad 41.608963	 stepsize= 1.000000 
-dualbound = 2537603.732942, lowerbound=1162854.732942, norm of subgrad 1079.062896	dualbound = 2537603.732942, lowerbound=1162854.732942, norm of subgrad 40.749844	 stepsize= 1.000000 
-dualbound = 2537841.035202, lowerbound=1160896.035202, norm of subgrad 1078.131734	dualbound = 2537841.035202, lowerbound=1160896.035202, norm of subgrad 41.343709	 stepsize= 1.000000 
-dualbound = 2538029.248028, lowerbound=1165555.248028, norm of subgrad 1080.301462	dualbound = 2538029.248028, lowerbound=1165555.248028, norm of subgrad 41.039162	 stepsize= 1.000000 
-dualbound = 2538189.359925, lowerbound=1164977.359925, norm of subgrad 1080.062665	dualbound = 2538189.359925, lowerbound=1164977.359925, norm of subgrad 41.450113	 stepsize= 1.000000 
-dualbound = 2538374.046055, lowerbound=1162490.046055, norm of subgrad 1078.920315	dualbound = 2538374.046055, lowerbound=1162490.046055, norm of subgrad 41.996263	 stepsize= 1.000000 
-dualbound = 2538547.135736, lowerbound=1165318.135736, norm of subgrad 1080.192175	dualbound = 2538547.135736, lowerbound=1165318.135736, norm of subgrad 40.866731	 stepsize= 1.000000 
-dualbound = 2538784.595313, lowerbound=1165581.595313, norm of subgrad 1080.290514	dualbound = 2538784.595313, lowerbound=1165581.595313, norm of subgrad 41.029984	 stepsize= 1.000000 
-dualbound = 2538927.092074, lowerbound=1166915.092074, norm of subgrad 1080.920484	dualbound = 2538927.092074, lowerbound=1166915.092074, norm of subgrad 40.205681	 stepsize= 1.000000 
-dualbound = 2539135.599683, lowerbound=1160487.599683, norm of subgrad 1077.936269	dualbound = 2539135.599683, lowerbound=1160487.599683, norm of subgrad 40.835127	 stepsize= 1.000000 
-dualbound = 2539323.727688, lowerbound=1161692.727688, norm of subgrad 1078.512275	dualbound = 2539323.727688, lowerbound=1161692.727688, norm of subgrad 41.038129	 stepsize= 1.000000 
-dualbound = 2539479.287704, lowerbound=1167400.287704, norm of subgrad 1081.168483	dualbound = 2539479.287704, lowerbound=1167400.287704, norm of subgrad 40.994634	 stepsize= 1.000000 
-dualbound = 2539686.518873, lowerbound=1162530.518873, norm of subgrad 1078.882996	dualbound = 2539686.518873, lowerbound=1162530.518873, norm of subgrad 40.807244	 stepsize= 1.000000 
-dualbound = 2539867.058063, lowerbound=1165554.058063, norm of subgrad 1080.300911	dualbound = 2539867.058063, lowerbound=1165554.058063, norm of subgrad 40.945564	 stepsize= 1.000000 
-dualbound = 2540022.096917, lowerbound=1165085.096917, norm of subgrad 1080.102355	dualbound = 2540022.096917, lowerbound=1165085.096917, norm of subgrad 41.122243	 stepsize= 1.000000 
-dualbound = 2540212.018214, lowerbound=1165189.018214, norm of subgrad 1080.128704	dualbound = 2540212.018214, lowerbound=1165189.018214, norm of subgrad 40.974642	 stepsize= 1.000000 
-dualbound = 2540423.030148, lowerbound=1164083.030148, norm of subgrad 1079.606887	dualbound = 2540423.030148, lowerbound=1164083.030148, norm of subgrad 40.975748	 stepsize= 1.000000 
-dualbound = 2540596.017898, lowerbound=1165142.017898, norm of subgrad 1080.123149	dualbound = 2540596.017898, lowerbound=1165142.017898, norm of subgrad 41.194511	 stepsize= 1.000000 
-dualbound = 2540748.059649, lowerbound=1165408.059649, norm of subgrad 1080.227781	dualbound = 2540748.059649, lowerbound=1165408.059649, norm of subgrad 40.448013	 stepsize= 1.000000 
-dualbound = 2540945.860373, lowerbound=1167420.860373, norm of subgrad 1081.143774	dualbound = 2540945.860373, lowerbound=1167420.860373, norm of subgrad 40.605427	 stepsize= 1.000000 
-dualbound = 2541143.070093, lowerbound=1163469.070093, norm of subgrad 1079.315556	dualbound = 2541143.070093, lowerbound=1163469.070093, norm of subgrad 40.622773	 stepsize= 1.000000 
-dualbound = 2541319.449391, lowerbound=1166420.449391, norm of subgrad 1080.682400	dualbound = 2541319.449391, lowerbound=1166420.449391, norm of subgrad 40.377956	 stepsize= 1.000000 
-dualbound = 2541505.469215, lowerbound=1164361.469215, norm of subgrad 1079.718699	dualbound = 2541505.469215, lowerbound=1164361.469215, norm of subgrad 40.212185	 stepsize= 1.000000 
-dualbound = 2541712.306567, lowerbound=1167388.306567, norm of subgrad 1081.131956	dualbound = 2541712.306567, lowerbound=1167388.306567, norm of subgrad 40.802418	 stepsize= 1.000000 
-dualbound = 2541858.538596, lowerbound=1164941.538596, norm of subgrad 1079.997009	dualbound = 2541858.538596, lowerbound=1164941.538596, norm of subgrad 39.977894	 stepsize= 1.000000 
-dualbound = 2542054.556103, lowerbound=1162221.556103, norm of subgrad 1078.772708	dualbound = 2542054.556103, lowerbound=1162221.556103, norm of subgrad 41.533330	 stepsize= 1.000000 
-dualbound = 2542223.186859, lowerbound=1171596.186859, norm of subgrad 1083.094265	dualbound = 2542223.186859, lowerbound=1171596.186859, norm of subgrad 40.812140	 stepsize= 1.000000 
-dualbound = 2542414.299694, lowerbound=1159617.299694, norm of subgrad 1077.539465	dualbound = 2542414.299694, lowerbound=1159617.299694, norm of subgrad 40.805794	 stepsize= 1.000000 
-dualbound = 2542589.759185, lowerbound=1167872.759185, norm of subgrad 1081.395284	dualbound = 2542589.759185, lowerbound=1167872.759185, norm of subgrad 41.454306	 stepsize= 1.000000 
-dualbound = 2542759.759185, lowerbound=1162269.759185, norm of subgrad 1078.780682	dualbound = 2542759.759185, lowerbound=1162269.759185, norm of subgrad 40.841156	 stepsize= 1.000000 
-dualbound = 2542960.045691, lowerbound=1168369.045691, norm of subgrad 1081.574799	dualbound = 2542960.045691, lowerbound=1168369.045691, norm of subgrad 40.438676	 stepsize= 1.000000 
-dualbound = 2543150.200439, lowerbound=1166646.200439, norm of subgrad 1080.809974	dualbound = 2543150.200439, lowerbound=1166646.200439, norm of subgrad 41.160111	 stepsize= 1.000000 
-dualbound = 2543319.248566, lowerbound=1162463.248566, norm of subgrad 1078.872211	dualbound = 2543319.248566, lowerbound=1162463.248566, norm of subgrad 40.878456	 stepsize= 1.000000 
-dualbound = 2543477.253545, lowerbound=1164989.253545, norm of subgrad 1080.025580	dualbound = 2543477.253545, lowerbound=1164989.253545, norm of subgrad 40.298945	 stepsize= 1.000000 
-dualbound = 2543690.544161, lowerbound=1165961.544161, norm of subgrad 1080.478387	dualbound = 2543690.544161, lowerbound=1165961.544161, norm of subgrad 41.052291	 stepsize= 1.000000 
-dualbound = 2543853.217519, lowerbound=1167117.217519, norm of subgrad 1081.018139	dualbound = 2543853.217519, lowerbound=1167117.217519, norm of subgrad 40.566900	 stepsize= 1.000000 
-dualbound = 2544051.643077, lowerbound=1166290.643077, norm of subgrad 1080.644550	dualbound = 2544051.643077, lowerbound=1166290.643077, norm of subgrad 41.236217	 stepsize= 1.000000 
-dualbound = 2544235.323852, lowerbound=1164082.323852, norm of subgrad 1079.593592	dualbound = 2544235.323852, lowerbound=1164082.323852, norm of subgrad 40.294922	 stepsize= 1.000000 
-dualbound = 2544421.283392, lowerbound=1170109.283392, norm of subgrad 1082.391003	dualbound = 2544421.283392, lowerbound=1170109.283392, norm of subgrad 40.582749	 stepsize= 1.000000 
-dualbound = 2544603.062704, lowerbound=1163942.062704, norm of subgrad 1079.530019	dualbound = 2544603.062704, lowerbound=1163942.062704, norm of subgrad 40.308551	 stepsize= 1.000000 
-dualbound = 2544791.495496, lowerbound=1167429.495496, norm of subgrad 1081.172741	dualbound = 2544791.495496, lowerbound=1167429.495496, norm of subgrad 41.151340	 stepsize= 1.000000 
-dualbound = 2544944.576353, lowerbound=1160798.576353, norm of subgrad 1078.103231	dualbound = 2544944.576353, lowerbound=1160798.576353, norm of subgrad 40.756360	 stepsize= 1.000000 
-dualbound = 2545145.851690, lowerbound=1168142.851690, norm of subgrad 1081.484097	dualbound = 2545145.851690, lowerbound=1168142.851690, norm of subgrad 40.820036	 stepsize= 1.000000 
-dualbound = 2545309.651920, lowerbound=1167753.651920, norm of subgrad 1081.319866	dualbound = 2545309.651920, lowerbound=1167753.651920, norm of subgrad 40.777448	 stepsize= 1.000000 
-dualbound = 2545492.449006, lowerbound=1169773.449006, norm of subgrad 1082.237242	dualbound = 2545492.449006, lowerbound=1169773.449006, norm of subgrad 40.580748	 stepsize= 1.000000 
-dualbound = 2545680.831432, lowerbound=1162885.831432, norm of subgrad 1079.074989	dualbound = 2545680.831432, lowerbound=1162885.831432, norm of subgrad 41.296276	 stepsize= 1.000000 
-dualbound = 2545828.267101, lowerbound=1164355.267101, norm of subgrad 1079.757967	dualbound = 2545828.267101, lowerbound=1164355.267101, norm of subgrad 40.858728	 stepsize= 1.000000 
-dualbound = 2546036.005125, lowerbound=1165685.005125, norm of subgrad 1080.350408	dualbound = 2546036.005125, lowerbound=1165685.005125, norm of subgrad 40.984607	 stepsize= 1.000000 
-dualbound = 2546211.517497, lowerbound=1167855.517497, norm of subgrad 1081.375752	dualbound = 2546211.517497, lowerbound=1167855.517497, norm of subgrad 41.152307	 stepsize= 1.000000 
-dualbound = 2546400.269250, lowerbound=1165436.269250, norm of subgrad 1080.230656	dualbound = 2546400.269250, lowerbound=1165436.269250, norm of subgrad 40.629444	 stepsize= 1.000000 
-dualbound = 2546595.187252, lowerbound=1164730.187252, norm of subgrad 1079.883414	dualbound = 2546595.187252, lowerbound=1164730.187252, norm of subgrad 40.161150	 stepsize= 1.000000 
-dualbound = 2546804.417663, lowerbound=1165722.417663, norm of subgrad 1080.326533	dualbound = 2546804.417663, lowerbound=1165722.417663, norm of subgrad 39.902762	 stepsize= 1.000000 
-dualbound = 2546978.129228, lowerbound=1164933.129228, norm of subgrad 1079.981541	dualbound = 2546978.129228, lowerbound=1164933.129228, norm of subgrad 40.008894	 stepsize= 1.000000 
-dualbound = 2547144.150341, lowerbound=1167255.150341, norm of subgrad 1081.111997	dualbound = 2547144.150341, lowerbound=1167255.150341, norm of subgrad 41.400738	 stepsize= 1.000000 
-dualbound = 2547290.791131, lowerbound=1165180.791131, norm of subgrad 1080.169334	dualbound = 2547290.791131, lowerbound=1165180.791131, norm of subgrad 41.612988	 stepsize= 1.000000 
-dualbound = 2547489.975724, lowerbound=1167199.975724, norm of subgrad 1081.068442	dualbound = 2547489.975724, lowerbound=1167199.975724, norm of subgrad 41.330190	 stepsize= 1.000000 
-dualbound = 2547679.749212, lowerbound=1164963.749212, norm of subgrad 1079.997106	dualbound = 2547679.749212, lowerbound=1164963.749212, norm of subgrad 40.246410	 stepsize= 1.000000 
-dualbound = 2547867.516266, lowerbound=1167756.516266, norm of subgrad 1081.333675	dualbound = 2547867.516266, lowerbound=1167756.516266, norm of subgrad 41.397670	 stepsize= 1.000000 
-dualbound = 2548026.822030, lowerbound=1164979.822030, norm of subgrad 1080.059638	dualbound = 2548026.822030, lowerbound=1164979.822030, norm of subgrad 41.331656	 stepsize= 1.000000 
-dualbound = 2548190.310256, lowerbound=1167413.310256, norm of subgrad 1081.180517	dualbound = 2548190.310256, lowerbound=1167413.310256, norm of subgrad 41.249100	 stepsize= 1.000000 
-dualbound = 2548385.088487, lowerbound=1163658.088487, norm of subgrad 1079.424425	dualbound = 2548385.088487, lowerbound=1163658.088487, norm of subgrad 41.155537	 stepsize= 1.000000 
-dualbound = 2548563.194450, lowerbound=1168268.194450, norm of subgrad 1081.583189	dualbound = 2548563.194450, lowerbound=1168268.194450, norm of subgrad 41.618577	 stepsize= 1.000000 
-dualbound = 2548762.996333, lowerbound=1169275.996333, norm of subgrad 1082.000460	dualbound = 2548762.996333, lowerbound=1169275.996333, norm of subgrad 40.605442	 stepsize= 1.000000 
-dualbound = 2548944.034458, lowerbound=1166379.034458, norm of subgrad 1080.655373	dualbound = 2548944.034458, lowerbound=1166379.034458, norm of subgrad 40.224845	 stepsize= 1.000000 
-dualbound = 2549112.994640, lowerbound=1162173.994640, norm of subgrad 1078.744175	dualbound = 2549112.994640, lowerbound=1162173.994640, norm of subgrad 41.036084	 stepsize= 1.000000 
-dualbound = 2549303.160165, lowerbound=1168374.160165, norm of subgrad 1081.596117	dualbound = 2549303.160165, lowerbound=1168374.160165, norm of subgrad 40.818691	 stepsize= 1.000000 
-dualbound = 2549503.078332, lowerbound=1165896.078332, norm of subgrad 1080.431894	dualbound = 2549503.078332, lowerbound=1165896.078332, norm of subgrad 40.458845	 stepsize= 1.000000 
-dualbound = 2549680.559978, lowerbound=1166186.559978, norm of subgrad 1080.557523	dualbound = 2549680.559978, lowerbound=1166186.559978, norm of subgrad 39.943481	 stepsize= 1.000000 
-dualbound = 2549863.169107, lowerbound=1170575.169107, norm of subgrad 1082.638060	dualbound = 2549863.169107, lowerbound=1170575.169107, norm of subgrad 41.383682	 stepsize= 1.000000 
-dualbound = 2550002.804252, lowerbound=1165918.804252, norm of subgrad 1080.478507	dualbound = 2550002.804252, lowerbound=1165918.804252, norm of subgrad 40.677207	 stepsize= 1.000000 
-dualbound = 2550222.975755, lowerbound=1164177.975755, norm of subgrad 1079.684665	dualbound = 2550222.975755, lowerbound=1164177.975755, norm of subgrad 41.966314	 stepsize= 1.000000 
-dualbound = 2550383.098887, lowerbound=1165313.098887, norm of subgrad 1080.187067	dualbound = 2550383.098887, lowerbound=1165313.098887, norm of subgrad 40.634014	 stepsize= 1.000000 
-dualbound = 2550580.031196, lowerbound=1165454.031196, norm of subgrad 1080.246283	dualbound = 2550580.031196, lowerbound=1165454.031196, norm of subgrad 40.925937	 stepsize= 1.000000 
-dualbound = 2550762.315143, lowerbound=1163316.315143, norm of subgrad 1079.225794	dualbound = 2550762.315143, lowerbound=1163316.315143, norm of subgrad 39.928485	 stepsize= 1.000000 
-dualbound = 2550966.288157, lowerbound=1169110.288157, norm of subgrad 1081.929891	dualbound = 2550966.288157, lowerbound=1169110.288157, norm of subgrad 40.816333	 stepsize= 1.000000 
-dualbound = 2551120.182846, lowerbound=1164247.182846, norm of subgrad 1079.688466	dualbound = 2551120.182846, lowerbound=1164247.182846, norm of subgrad 40.421463	 stepsize= 1.000000 
-dualbound = 2551297.953701, lowerbound=1165727.953701, norm of subgrad 1080.390649	dualbound = 2551297.953701, lowerbound=1165727.953701, norm of subgrad 41.155447	 stepsize= 1.000000 
-dualbound = 2551484.387381, lowerbound=1169230.387381, norm of subgrad 1081.995096	dualbound = 2551484.387381, lowerbound=1169230.387381, norm of subgrad 40.858704	 stepsize= 1.000000 
-dualbound = 2551662.416980, lowerbound=1167089.416980, norm of subgrad 1080.991867	dualbound = 2551662.416980, lowerbound=1167089.416980, norm of subgrad 40.398386	 stepsize= 1.000000 
-dualbound = 2551872.211079, lowerbound=1166660.211079, norm of subgrad 1080.752151	dualbound = 2551872.211079, lowerbound=1166660.211079, norm of subgrad 39.683675	 stepsize= 1.000000 
-dualbound = 2552042.169586, lowerbound=1171187.169586, norm of subgrad 1082.857410	dualbound = 2552042.169586, lowerbound=1171187.169586, norm of subgrad 39.534270	 stepsize= 1.000000 
-dualbound = 2552198.560200, lowerbound=1165397.560200, norm of subgrad 1080.241436	dualbound = 2552198.560200, lowerbound=1165397.560200, norm of subgrad 40.992568	 stepsize= 1.000000 
-dualbound = 2552344.287133, lowerbound=1164668.287133, norm of subgrad 1079.912629	dualbound = 2552344.287133, lowerbound=1164668.287133, norm of subgrad 41.094123	 stepsize= 1.000000 
-dualbound = 2552559.282990, lowerbound=1165061.282990, norm of subgrad 1080.086239	dualbound = 2552559.282990, lowerbound=1165061.282990, norm of subgrad 41.713258	 stepsize= 1.000000 
-dualbound = 2552726.623439, lowerbound=1167096.623439, norm of subgrad 1081.043303	dualbound = 2552726.623439, lowerbound=1167096.623439, norm of subgrad 41.537218	 stepsize= 1.000000 
-dualbound = 2552935.532681, lowerbound=1166407.532681, norm of subgrad 1080.679662	dualbound = 2552935.532681, lowerbound=1166407.532681, norm of subgrad 40.864523	 stepsize= 1.000000 
-dualbound = 2553097.173885, lowerbound=1164991.173885, norm of subgrad 1080.026932	dualbound = 2553097.173885, lowerbound=1164991.173885, norm of subgrad 40.356427	 stepsize= 1.000000 
-dualbound = 2553325.095840, lowerbound=1173779.095840, norm of subgrad 1084.071075	dualbound = 2553325.095840, lowerbound=1173779.095840, norm of subgrad 40.729866	 stepsize= 1.000000 
-dualbound = 2553470.429014, lowerbound=1165774.429014, norm of subgrad 1080.387629	dualbound = 2553470.429014, lowerbound=1165774.429014, norm of subgrad 40.104029	 stepsize= 1.000000 
-dualbound = 2553661.686845, lowerbound=1164851.686845, norm of subgrad 1079.984114	dualbound = 2553661.686845, lowerbound=1164851.686845, norm of subgrad 41.294768	 stepsize= 1.000000 
-dualbound = 2553827.286964, lowerbound=1163885.286964, norm of subgrad 1079.505112	dualbound = 2553827.286964, lowerbound=1163885.286964, norm of subgrad 40.144740	 stepsize= 1.000000 
-dualbound = 2554033.399517, lowerbound=1166211.399517, norm of subgrad 1080.569942	dualbound = 2554033.399517, lowerbound=1166211.399517, norm of subgrad 40.325086	 stepsize= 1.000000 
-dualbound = 2554213.074489, lowerbound=1164018.074489, norm of subgrad 1079.535583	dualbound = 2554213.074489, lowerbound=1164018.074489, norm of subgrad 39.480058	 stepsize= 1.000000 
-dualbound = 2554409.448940, lowerbound=1167511.448940, norm of subgrad 1081.176419	dualbound = 2554409.448940, lowerbound=1167511.448940, norm of subgrad 40.340729	 stepsize= 1.000000 
-dualbound = 2554548.636127, lowerbound=1172215.636127, norm of subgrad 1083.405112	dualbound = 2554548.636127, lowerbound=1172215.636127, norm of subgrad 41.111886	 stepsize= 1.000000 
-dualbound = 2554717.024767, lowerbound=1166416.024767, norm of subgrad 1080.715978	dualbound = 2554717.024767, lowerbound=1166416.024767, norm of subgrad 41.223642	 stepsize= 1.000000 
-dualbound = 2554893.284019, lowerbound=1166517.284019, norm of subgrad 1080.713785	dualbound = 2554893.284019, lowerbound=1166517.284019, norm of subgrad 40.015738	 stepsize= 1.000000 
-dualbound = 2555114.931608, lowerbound=1164005.931608, norm of subgrad 1079.549411	dualbound = 2555114.931608, lowerbound=1164005.931608, norm of subgrad 40.529589	 stepsize= 1.000000 
-dualbound = 2555272.480656, lowerbound=1170839.480656, norm of subgrad 1082.699626	dualbound = 2555272.480656, lowerbound=1170839.480656, norm of subgrad 39.453125	 stepsize= 1.000000 
-dualbound = 2555441.552516, lowerbound=1166663.552516, norm of subgrad 1080.809212	dualbound = 2555441.552516, lowerbound=1166663.552516, norm of subgrad 40.670282	 stepsize= 1.000000 
-dualbound = 2555619.545624, lowerbound=1163769.545624, norm of subgrad 1079.458913	dualbound = 2555619.545624, lowerbound=1163769.545624, norm of subgrad 40.496828	 stepsize= 1.000000 
-dualbound = 2555819.049316, lowerbound=1165548.049316, norm of subgrad 1080.307849	dualbound = 2555819.049316, lowerbound=1165548.049316, norm of subgrad 41.430710	 stepsize= 1.000000 
-dualbound = 2555981.776892, lowerbound=1170037.776892, norm of subgrad 1082.378759	dualbound = 2555981.776892, lowerbound=1170037.776892, norm of subgrad 40.850062	 stepsize= 1.000000 
-dualbound = 2556173.127444, lowerbound=1160534.127444, norm of subgrad 1077.974085	dualbound = 2556173.127444, lowerbound=1160534.127444, norm of subgrad 41.053021	 stepsize= 1.000000 
-dualbound = 2556315.603413, lowerbound=1169317.603413, norm of subgrad 1082.049261	dualbound = 2556315.603413, lowerbound=1169317.603413, norm of subgrad 40.687541	 stepsize= 1.000000 
-dualbound = 2556527.159711, lowerbound=1162988.159711, norm of subgrad 1079.114526	dualbound = 2556527.159711, lowerbound=1162988.159711, norm of subgrad 41.370960	 stepsize= 1.000000 
-dualbound = 2556701.337178, lowerbound=1167806.337178, norm of subgrad 1081.329893	dualbound = 2556701.337178, lowerbound=1167806.337178, norm of subgrad 40.523789	 stepsize= 1.000000 
-dualbound = 2556892.686777, lowerbound=1166854.686777, norm of subgrad 1080.876351	dualbound = 2556892.686777, lowerbound=1166854.686777, norm of subgrad 40.377588	 stepsize= 1.000000 
-dualbound = 2557082.272150, lowerbound=1170768.272150, norm of subgrad 1082.680596	dualbound = 2557082.272150, lowerbound=1170768.272150, norm of subgrad 40.231646	 stepsize= 1.000000 
-dualbound = 2557275.471308, lowerbound=1167786.471308, norm of subgrad 1081.321169	dualbound = 2557275.471308, lowerbound=1167786.471308, norm of subgrad 40.770077	 stepsize= 1.000000 
-dualbound = 2557416.365605, lowerbound=1169236.365605, norm of subgrad 1081.988616	dualbound = 2557416.365605, lowerbound=1169236.365605, norm of subgrad 40.048649	 stepsize= 1.000000 
-dualbound = 2557627.174584, lowerbound=1168879.174584, norm of subgrad 1081.836020	dualbound = 2557627.174584, lowerbound=1168879.174584, norm of subgrad 41.240865	 stepsize= 1.000000 
-dualbound = 2557788.965060, lowerbound=1165139.965060, norm of subgrad 1080.097665	dualbound = 2557788.965060, lowerbound=1165139.965060, norm of subgrad 40.407802	 stepsize= 1.000000 
-dualbound = 2557962.186996, lowerbound=1165411.186996, norm of subgrad 1080.232932	dualbound = 2557962.186996, lowerbound=1165411.186996, norm of subgrad 40.807131	 stepsize= 1.000000 
-dualbound = 2558166.625854, lowerbound=1166483.625854, norm of subgrad 1080.690347	dualbound = 2558166.625854, lowerbound=1166483.625854, norm of subgrad 40.155185	 stepsize= 1.000000 
-dualbound = 2558355.106291, lowerbound=1165503.106291, norm of subgrad 1080.227803	dualbound = 2558355.106291, lowerbound=1165503.106291, norm of subgrad 39.717508	 stepsize= 1.000000 
-dualbound = 2558540.676376, lowerbound=1169091.676376, norm of subgrad 1081.926373	dualbound = 2558540.676376, lowerbound=1169091.676376, norm of subgrad 40.725546	 stepsize= 1.000000 
-dualbound = 2558711.780649, lowerbound=1163192.780649, norm of subgrad 1079.186166	dualbound = 2558711.780649, lowerbound=1163192.780649, norm of subgrad 40.262939	 stepsize= 1.000000 
-dualbound = 2558881.965411, lowerbound=1166352.965411, norm of subgrad 1080.690967	dualbound = 2558881.965411, lowerbound=1166352.965411, norm of subgrad 41.354380	 stepsize= 1.000000 
-dualbound = 2559022.078333, lowerbound=1167963.078333, norm of subgrad 1081.432882	dualbound = 2559022.078333, lowerbound=1167963.078333, norm of subgrad 40.915925	 stepsize= 1.000000 
-dualbound = 2559256.194674, lowerbound=1167091.194674, norm of subgrad 1080.992227	dualbound = 2559256.194674, lowerbound=1167091.194674, norm of subgrad 41.074522	 stepsize= 1.000000 
-dualbound = 2559402.201766, lowerbound=1168054.201766, norm of subgrad 1081.424617	dualbound = 2559402.201766, lowerbound=1168054.201766, norm of subgrad 39.635932	 stepsize= 1.000000 
-dualbound = 2559615.430375, lowerbound=1170060.430375, norm of subgrad 1082.371669	dualbound = 2559615.430375, lowerbound=1170060.430375, norm of subgrad 41.002788	 stepsize= 1.000000 
-dualbound = 2559783.915682, lowerbound=1164517.915682, norm of subgrad 1079.787440	dualbound = 2559783.915682, lowerbound=1164517.915682, norm of subgrad 39.893424	 stepsize= 1.000000 
-dualbound = 2559976.840076, lowerbound=1165289.840076, norm of subgrad 1080.182318	dualbound = 2559976.840076, lowerbound=1165289.840076, norm of subgrad 41.193742	 stepsize= 1.000000 
-dualbound = 2560122.147349, lowerbound=1165744.147349, norm of subgrad 1080.422671	dualbound = 2560122.147349, lowerbound=1165744.147349, norm of subgrad 41.404194	 stepsize= 1.000000 
-dualbound = 2560299.322552, lowerbound=1169982.322552, norm of subgrad 1082.354527	dualbound = 2560299.322552, lowerbound=1169982.322552, norm of subgrad 41.063064	 stepsize= 1.000000 
-dualbound = 2560510.449648, lowerbound=1167361.449648, norm of subgrad 1081.105661	dualbound = 2560510.449648, lowerbound=1167361.449648, norm of subgrad 40.486135	 stepsize= 1.000000 
-dualbound = 2560686.709825, lowerbound=1168110.709825, norm of subgrad 1081.470161	dualbound = 2560686.709825, lowerbound=1168110.709825, norm of subgrad 40.537146	 stepsize= 1.000000 
-dualbound = 2560847.178010, lowerbound=1169172.178010, norm of subgrad 1081.952022	dualbound = 2560847.178010, lowerbound=1169172.178010, norm of subgrad 40.105713	 stepsize= 1.000000 
-dualbound = 2561043.080367, lowerbound=1165078.080367, norm of subgrad 1080.082904	dualbound = 2561043.080367, lowerbound=1165078.080367, norm of subgrad 41.193475	 stepsize= 1.000000 
-dualbound = 2561214.100297, lowerbound=1164870.100297, norm of subgrad 1079.988935	dualbound = 2561214.100297, lowerbound=1164870.100297, norm of subgrad 40.951434	 stepsize= 1.000000 
-dualbound = 2561393.482238, lowerbound=1167631.482238, norm of subgrad 1081.244876	dualbound = 2561393.482238, lowerbound=1167631.482238, norm of subgrad 40.476931	 stepsize= 1.000000 
-dualbound = 2561592.958732, lowerbound=1168605.958732, norm of subgrad 1081.664439	dualbound = 2561592.958732, lowerbound=1168605.958732, norm of subgrad 39.893314	 stepsize= 1.000000 
-dualbound = 2561746.006437, lowerbound=1170381.006437, norm of subgrad 1082.552080	dualbound = 2561746.006437, lowerbound=1170381.006437, norm of subgrad 41.122350	 stepsize= 1.000000 
-dualbound = 2561906.069414, lowerbound=1168135.069414, norm of subgrad 1081.487434	dualbound = 2561906.069414, lowerbound=1168135.069414, norm of subgrad 40.497691	 stepsize= 1.000000 
-dualbound = 2562108.462007, lowerbound=1164920.462007, norm of subgrad 1079.990492	dualbound = 2562108.462007, lowerbound=1164920.462007, norm of subgrad 40.760184	 stepsize= 1.000000 
-dualbound = 2562306.050750, lowerbound=1166172.050750, norm of subgrad 1080.572557	dualbound = 2562306.050750, lowerbound=1166172.050750, norm of subgrad 40.774854	 stepsize= 1.000000 
-dualbound = 2562443.410727, lowerbound=1168456.410727, norm of subgrad 1081.641535	dualbound = 2562443.410727, lowerbound=1168456.410727, norm of subgrad 40.365331	 stepsize= 1.000000 
-dualbound = 2562644.254905, lowerbound=1166415.254905, norm of subgrad 1080.689713	dualbound = 2562644.254905, lowerbound=1166415.254905, norm of subgrad 40.937076	 stepsize= 1.000000 
-dualbound = 2562822.523697, lowerbound=1166881.523697, norm of subgrad 1080.931785	dualbound = 2562822.523697, lowerbound=1166881.523697, norm of subgrad 41.355396	 stepsize= 1.000000 
-dualbound = 2562996.786728, lowerbound=1169805.786728, norm of subgrad 1082.253107	dualbound = 2562996.786728, lowerbound=1169805.786728, norm of subgrad 40.500161	 stepsize= 1.000000 
-dualbound = 2563205.494689, lowerbound=1167062.494689, norm of subgrad 1080.968776	dualbound = 2563205.494689, lowerbound=1167062.494689, norm of subgrad 40.493308	 stepsize= 1.000000 
-dualbound = 2563375.396455, lowerbound=1164008.396455, norm of subgrad 1079.592236	dualbound = 2563375.396455, lowerbound=1164008.396455, norm of subgrad 40.998802	 stepsize= 1.000000 
-dualbound = 2563529.837147, lowerbound=1169009.837147, norm of subgrad 1081.894559	dualbound = 2563529.837147, lowerbound=1169009.837147, norm of subgrad 40.502354	 stepsize= 1.000000 
-dualbound = 2563741.362077, lowerbound=1167532.362077, norm of subgrad 1081.211063	dualbound = 2563741.362077, lowerbound=1167532.362077, norm of subgrad 41.188893	 stepsize= 1.000000 
-dualbound = 2563918.229139, lowerbound=1164692.229139, norm of subgrad 1079.876488	dualbound = 2563918.229139, lowerbound=1164692.229139, norm of subgrad 40.222718	 stepsize= 1.000000 
-dualbound = 2564108.807306, lowerbound=1167241.807306, norm of subgrad 1081.059114	dualbound = 2564108.807306, lowerbound=1167241.807306, norm of subgrad 40.467001	 stepsize= 1.000000 
-dualbound = 2564291.291726, lowerbound=1167571.291726, norm of subgrad 1081.204093	dualbound = 2564291.291726, lowerbound=1167571.291726, norm of subgrad 40.168202	 stepsize= 1.000000 
-dualbound = 2564443.453610, lowerbound=1169838.453610, norm of subgrad 1082.316245	dualbound = 2564443.453610, lowerbound=1169838.453610, norm of subgrad 41.498938	 stepsize= 1.000000 
-dualbound = 2564611.955207, lowerbound=1170557.955207, norm of subgrad 1082.622721	dualbound = 2564611.955207, lowerbound=1170557.955207, norm of subgrad 41.018308	 stepsize= 1.000000 
-dualbound = 2564813.310922, lowerbound=1167698.310922, norm of subgrad 1081.273005	dualbound = 2564813.310922, lowerbound=1167698.310922, norm of subgrad 40.673772	 stepsize= 1.000000 
-dualbound = 2564996.842584, lowerbound=1167723.842584, norm of subgrad 1081.291747	dualbound = 2564996.842584, lowerbound=1167723.842584, norm of subgrad 40.639041	 stepsize= 1.000000 
-dualbound = 2565137.713312, lowerbound=1167292.713312, norm of subgrad 1081.108558	dualbound = 2565137.713312, lowerbound=1167292.713312, norm of subgrad 40.544676	 stepsize= 1.000000 
-dualbound = 2565327.926607, lowerbound=1169238.926607, norm of subgrad 1082.006898	dualbound = 2565327.926607, lowerbound=1169238.926607, norm of subgrad 41.112204	 stepsize= 1.000000 
-dualbound = 2565528.214007, lowerbound=1168491.214007, norm of subgrad 1081.643293	dualbound = 2565528.214007, lowerbound=1168491.214007, norm of subgrad 40.758894	 stepsize= 1.000000 
-dualbound = 2565709.472210, lowerbound=1165393.472210, norm of subgrad 1080.225195	dualbound = 2565709.472210, lowerbound=1165393.472210, norm of subgrad 40.917700	 stepsize= 1.000000 
-dualbound = 2565880.598802, lowerbound=1169040.598802, norm of subgrad 1081.918019	dualbound = 2565880.598802, lowerbound=1169040.598802, norm of subgrad 40.952736	 stepsize= 1.000000 
-dualbound = 2566062.971154, lowerbound=1168682.971154, norm of subgrad 1081.718065	dualbound = 2566062.971154, lowerbound=1168682.971154, norm of subgrad 40.166807	 stepsize= 1.000000 
-dualbound = 2566243.794375, lowerbound=1164514.794375, norm of subgrad 1079.782753	dualbound = 2566243.794375, lowerbound=1164514.794375, norm of subgrad 39.960271	 stepsize= 1.000000 
-dualbound = 2566434.658684, lowerbound=1166589.658684, norm of subgrad 1080.784279	dualbound = 2566434.658684, lowerbound=1166589.658684, norm of subgrad 41.180873	 stepsize= 1.000000 
-dualbound = 2566593.014219, lowerbound=1166360.014219, norm of subgrad 1080.642871	dualbound = 2566593.014219, lowerbound=1166360.014219, norm of subgrad 39.841631	 stepsize= 1.000000 
-dualbound = 2566793.428693, lowerbound=1170319.428693, norm of subgrad 1082.471445	dualbound = 2566793.428693, lowerbound=1170319.428693, norm of subgrad 40.316429	 stepsize= 1.000000 
-dualbound = 2566962.142591, lowerbound=1165735.142591, norm of subgrad 1080.357877	dualbound = 2566962.142591, lowerbound=1165735.142591, norm of subgrad 40.083836	 stepsize= 1.000000 
-dualbound = 2567145.509577, lowerbound=1171137.509577, norm of subgrad 1082.855258	dualbound = 2567145.509577, lowerbound=1171137.509577, norm of subgrad 40.266202	 stepsize= 1.000000 
-dualbound = 2567319.754944, lowerbound=1165944.754944, norm of subgrad 1080.466915	dualbound = 2567319.754944, lowerbound=1165944.754944, norm of subgrad 40.475244	 stepsize= 1.000000 
-dualbound = 2567504.755763, lowerbound=1169178.755763, norm of subgrad 1081.984637	dualbound = 2567504.755763, lowerbound=1169178.755763, norm of subgrad 41.194670	 stepsize= 1.000000 
-dualbound = 2567632.605333, lowerbound=1168181.605333, norm of subgrad 1081.548707	dualbound = 2567632.605333, lowerbound=1168181.605333, norm of subgrad 41.156404	 stepsize= 1.000000 
-dualbound = 2567861.058478, lowerbound=1169760.058478, norm of subgrad 1082.223664	dualbound = 2567861.058478, lowerbound=1169760.058478, norm of subgrad 40.944513	 stepsize= 1.000000 
-dualbound = 2568034.165414, lowerbound=1166240.165414, norm of subgrad 1080.611940	dualbound = 2568034.165414, lowerbound=1166240.165414, norm of subgrad 40.683005	 stepsize= 1.000000 
-dualbound = 2568194.567359, lowerbound=1164564.567359, norm of subgrad 1079.865069	dualbound = 2568194.567359, lowerbound=1164564.567359, norm of subgrad 41.284403	 stepsize= 1.000000 
-dualbound = 2568376.717650, lowerbound=1168842.717650, norm of subgrad 1081.808078	dualbound = 2568376.717650, lowerbound=1168842.717650, norm of subgrad 40.597417	 stepsize= 1.000000 
-dualbound = 2568587.053144, lowerbound=1167097.053144, norm of subgrad 1081.002800	dualbound = 2568587.053144, lowerbound=1167097.053144, norm of subgrad 40.991895	 stepsize= 1.000000 
-dualbound = 2568748.291972, lowerbound=1169320.291972, norm of subgrad 1082.038027	dualbound = 2568748.291972, lowerbound=1169320.291972, norm of subgrad 40.586190	 stepsize= 1.000000 
-dualbound = 2568946.250232, lowerbound=1167853.250232, norm of subgrad 1081.332627	dualbound = 2568946.250232, lowerbound=1167853.250232, norm of subgrad 40.310771	 stepsize= 1.000000 
-dualbound = 2569112.689845, lowerbound=1167990.689845, norm of subgrad 1081.370746	dualbound = 2569112.689845, lowerbound=1167990.689845, norm of subgrad 39.222948	 stepsize= 1.000000 
-dualbound = 2569293.125816, lowerbound=1166010.125816, norm of subgrad 1080.455981	dualbound = 2569293.125816, lowerbound=1166010.125816, norm of subgrad 39.439016	 stepsize= 1.000000 
-dualbound = 2569480.595466, lowerbound=1166117.595466, norm of subgrad 1080.518670	dualbound = 2569480.595466, lowerbound=1166117.595466, norm of subgrad 39.880693	 stepsize= 1.000000 
-dualbound = 2569655.611444, lowerbound=1165966.611444, norm of subgrad 1080.448801	dualbound = 2569655.611444, lowerbound=1165966.611444, norm of subgrad 39.724249	 stepsize= 1.000000 
-dualbound = 2569812.751784, lowerbound=1169575.751784, norm of subgrad 1082.155604	dualbound = 2569812.751784, lowerbound=1169575.751784, norm of subgrad 40.523331	 stepsize= 1.000000 
-dualbound = 2569983.667639, lowerbound=1169937.667639, norm of subgrad 1082.320039	dualbound = 2569983.667639, lowerbound=1169937.667639, norm of subgrad 40.619156	 stepsize= 1.000000 
-dualbound = 2570170.339906, lowerbound=1169836.339906, norm of subgrad 1082.274614	dualbound = 2570170.339906, lowerbound=1169836.339906, norm of subgrad 40.849385	 stepsize= 1.000000 
-dualbound = 2570353.536153, lowerbound=1165937.536153, norm of subgrad 1080.489026	dualbound = 2570353.536153, lowerbound=1165937.536153, norm of subgrad 41.257681	 stepsize= 1.000000 
-dualbound = 2570511.146080, lowerbound=1171663.146080, norm of subgrad 1083.139948	dualbound = 2570511.146080, lowerbound=1171663.146080, norm of subgrad 41.068357	 stepsize= 1.000000 
-dualbound = 2570704.152311, lowerbound=1167050.152311, norm of subgrad 1080.960292	dualbound = 2570704.152311, lowerbound=1167050.152311, norm of subgrad 40.224448	 stepsize= 1.000000 
-dualbound = 2570901.120553, lowerbound=1168911.120553, norm of subgrad 1081.847087	dualbound = 2570901.120553, lowerbound=1168911.120553, norm of subgrad 40.975215	 stepsize= 1.000000 
-dualbound = 2571050.121516, lowerbound=1166748.121516, norm of subgrad 1080.851572	dualbound = 2571050.121516, lowerbound=1166748.121516, norm of subgrad 40.509270	 stepsize= 1.000000 
-dualbound = 2571239.725988, lowerbound=1165709.725988, norm of subgrad 1080.384064	dualbound = 2571239.725988, lowerbound=1165709.725988, norm of subgrad 41.347364	 stepsize= 1.000000 
-dualbound = 2571399.693184, lowerbound=1170936.693184, norm of subgrad 1082.810091	dualbound = 2571399.693184, lowerbound=1170936.693184, norm of subgrad 41.242784	 stepsize= 1.000000 
-dualbound = 2571589.706816, lowerbound=1168061.706816, norm of subgrad 1081.461376	dualbound = 2571589.706816, lowerbound=1168061.706816, norm of subgrad 41.073272	 stepsize= 1.000000 
-dualbound = 2571757.804872, lowerbound=1165634.804872, norm of subgrad 1080.357258	dualbound = 2571757.804872, lowerbound=1165634.804872, norm of subgrad 41.292833	 stepsize= 1.000000 
-dualbound = 2571951.192835, lowerbound=1171309.192835, norm of subgrad 1082.969156	dualbound = 2571951.192835, lowerbound=1171309.192835, norm of subgrad 41.308449	 stepsize= 1.000000 
-dualbound = 2572145.302991, lowerbound=1169549.302991, norm of subgrad 1082.151701	dualbound = 2572145.302991, lowerbound=1169549.302991, norm of subgrad 41.195997	 stepsize= 1.000000 
-dualbound = 2572319.107778, lowerbound=1169899.107778, norm of subgrad 1082.299454	dualbound = 2572319.107778, lowerbound=1169899.107778, norm of subgrad 40.580843	 stepsize= 1.000000 
-dualbound = 2572482.405330, lowerbound=1167096.405330, norm of subgrad 1080.994175	dualbound = 2572482.405330, lowerbound=1167096.405330, norm of subgrad 40.190765	 stepsize= 1.000000 
-dualbound = 2572672.383544, lowerbound=1166581.383544, norm of subgrad 1080.752230	dualbound = 2572672.383544, lowerbound=1166581.383544, norm of subgrad 40.422496	 stepsize= 1.000000 
-dualbound = 2572850.225669, lowerbound=1166552.225669, norm of subgrad 1080.747994	dualbound = 2572850.225669, lowerbound=1166552.225669, norm of subgrad 40.519651	 stepsize= 1.000000 
-dualbound = 2573039.322622, lowerbound=1167864.322622, norm of subgrad 1081.379361	dualbound = 2573039.322622, lowerbound=1167864.322622, norm of subgrad 41.304926	 stepsize= 1.000000 
-dualbound = 2573200.271287, lowerbound=1167326.271287, norm of subgrad 1081.119453	dualbound = 2573200.271287, lowerbound=1167326.271287, norm of subgrad 40.668768	 stepsize= 1.000000 
-dualbound = 2573382.711062, lowerbound=1168114.711062, norm of subgrad 1081.508073	dualbound = 2573382.711062, lowerbound=1168114.711062, norm of subgrad 41.562480	 stepsize= 1.000000 
-dualbound = 2573534.289174, lowerbound=1170342.289174, norm of subgrad 1082.533274	dualbound = 2573534.289174, lowerbound=1170342.289174, norm of subgrad 41.080143	 stepsize= 1.000000 
-dualbound = 2573723.757365, lowerbound=1165515.757365, norm of subgrad 1080.303549	dualbound = 2573723.757365, lowerbound=1165515.757365, norm of subgrad 41.586875	 stepsize= 1.000000 
-dualbound = 2573900.618725, lowerbound=1167418.618725, norm of subgrad 1081.164936	dualbound = 2573900.618725, lowerbound=1167418.618725, norm of subgrad 40.937286	 stepsize= 1.000000 
-dualbound = 2574088.882953, lowerbound=1163950.882953, norm of subgrad 1079.530399	dualbound = 2574088.882953, lowerbound=1163950.882953, norm of subgrad 40.289753	 stepsize= 1.000000 
-dualbound = 2574281.806900, lowerbound=1169719.806900, norm of subgrad 1082.209225	dualbound = 2574281.806900, lowerbound=1169719.806900, norm of subgrad 40.619256	 stepsize= 1.000000 
-dualbound = 2574433.251180, lowerbound=1167529.251180, norm of subgrad 1081.233209	dualbound = 2574433.251180, lowerbound=1167529.251180, norm of subgrad 41.078514	 stepsize= 1.000000 
-dualbound = 2574616.855936, lowerbound=1171883.855936, norm of subgrad 1083.233519	dualbound = 2574616.855936, lowerbound=1171883.855936, norm of subgrad 41.165577	 stepsize= 1.000000 
-dualbound = 2574805.592259, lowerbound=1168255.592259, norm of subgrad 1081.533445	dualbound = 2574805.592259, lowerbound=1168255.592259, norm of subgrad 40.592319	 stepsize= 1.000000 
-dualbound = 2574986.003466, lowerbound=1172952.003466, norm of subgrad 1083.722291	dualbound = 2574986.003466, lowerbound=1172952.003466, norm of subgrad 41.017206	 stepsize= 1.000000 
-dualbound = 2575158.690944, lowerbound=1166451.690944, norm of subgrad 1080.728315	dualbound = 2575158.690944, lowerbound=1166451.690944, norm of subgrad 41.166582	 stepsize= 1.000000 
-dualbound = 2575341.495760, lowerbound=1170479.495760, norm of subgrad 1082.575400	dualbound = 2575341.495760, lowerbound=1170479.495760, norm of subgrad 40.899937	 stepsize= 1.000000 
-dualbound = 2575515.948041, lowerbound=1163792.948041, norm of subgrad 1079.438719	dualbound = 2575515.948041, lowerbound=1163792.948041, norm of subgrad 39.616313	 stepsize= 1.000000 
-dualbound = 2575723.247143, lowerbound=1167015.247143, norm of subgrad 1080.928882	dualbound = 2575723.247143, lowerbound=1167015.247143, norm of subgrad 39.991238	 stepsize= 1.000000 
-dualbound = 2575907.742849, lowerbound=1170326.742849, norm of subgrad 1082.465123	dualbound = 2575907.742849, lowerbound=1170326.742849, norm of subgrad 39.855937	 stepsize= 1.000000 
-dualbound = 2576072.869815, lowerbound=1168816.869815, norm of subgrad 1081.808611	dualbound = 2576072.869815, lowerbound=1168816.869815, norm of subgrad 40.720105	 stepsize= 1.000000 
-dualbound = 2576208.290854, lowerbound=1165728.290854, norm of subgrad 1080.419498	dualbound = 2576208.290854, lowerbound=1165728.290854, norm of subgrad 41.393490	 stepsize= 1.000000 
-dualbound = 2576397.264937, lowerbound=1171846.264937, norm of subgrad 1083.224476	dualbound = 2576397.264937, lowerbound=1171846.264937, norm of subgrad 41.448451	 stepsize= 1.000000 
-dualbound = 2576564.853664, lowerbound=1164366.853664, norm of subgrad 1079.736474	dualbound = 2576564.853664, lowerbound=1164366.853664, norm of subgrad 40.392929	 stepsize= 1.000000 
-dualbound = 2576779.885823, lowerbound=1172285.885823, norm of subgrad 1083.387228	dualbound = 2576779.885823, lowerbound=1172285.885823, norm of subgrad 40.706660	 stepsize= 1.000000 
-dualbound = 2576963.705115, lowerbound=1169164.705115, norm of subgrad 1081.961508	dualbound = 2576963.705115, lowerbound=1169164.705115, norm of subgrad 40.740880	 stepsize= 1.000000 
-dualbound = 2577127.937211, lowerbound=1168867.937211, norm of subgrad 1081.826205	dualbound = 2577127.937211, lowerbound=1168867.937211, norm of subgrad 40.549132	 stepsize= 1.000000 
-dualbound = 2577311.185117, lowerbound=1165779.185117, norm of subgrad 1080.393533	dualbound = 2577311.185117, lowerbound=1165779.185117, norm of subgrad 40.672447	 stepsize= 1.000000 
-dualbound = 2577496.091327, lowerbound=1170307.091327, norm of subgrad 1082.488841	dualbound = 2577496.091327, lowerbound=1170307.091327, norm of subgrad 40.741947	 stepsize= 1.000000 
-dualbound = 2577665.195235, lowerbound=1169198.195235, norm of subgrad 1081.978833	dualbound = 2577665.195235, lowerbound=1169198.195235, norm of subgrad 40.609160	 stepsize= 1.000000 
-dualbound = 2577826.600782, lowerbound=1170105.600782, norm of subgrad 1082.401774	dualbound = 2577826.600782, lowerbound=1170105.600782, norm of subgrad 40.612874	 stepsize= 1.000000 
-dualbound = 2577995.570429, lowerbound=1166886.570429, norm of subgrad 1080.919317	dualbound = 2577995.570429, lowerbound=1166886.570429, norm of subgrad 40.853025	 stepsize= 1.000000 
-dualbound = 2578192.208291, lowerbound=1168244.208291, norm of subgrad 1081.554533	dualbound = 2578192.208291, lowerbound=1168244.208291, norm of subgrad 41.384029	 stepsize= 1.000000 
-dualbound = 2578353.826006, lowerbound=1167636.826006, norm of subgrad 1081.275093	dualbound = 2578353.826006, lowerbound=1167636.826006, norm of subgrad 40.995338	 stepsize= 1.000000 
-dualbound = 2578525.201873, lowerbound=1171698.201873, norm of subgrad 1083.137204	dualbound = 2578525.201873, lowerbound=1171698.201873, norm of subgrad 40.735437	 stepsize= 1.000000 
-dualbound = 2578714.153538, lowerbound=1169751.153538, norm of subgrad 1082.224170	dualbound = 2578714.153538, lowerbound=1169751.153538, norm of subgrad 40.582652	 stepsize= 1.000000 
-dualbound = 2578895.241859, lowerbound=1170598.241859, norm of subgrad 1082.634399	dualbound = 2578895.241859, lowerbound=1170598.241859, norm of subgrad 40.988880	 stepsize= 1.000000 
-dualbound = 2579074.784269, lowerbound=1163320.784269, norm of subgrad 1079.229255	dualbound = 2579074.784269, lowerbound=1163320.784269, norm of subgrad 39.931722	 stepsize= 1.000000 
-dualbound = 2579259.392223, lowerbound=1170795.392223, norm of subgrad 1082.703742	dualbound = 2579259.392223, lowerbound=1170795.392223, norm of subgrad 40.455011	 stepsize= 1.000000 
-dualbound = 2579445.894748, lowerbound=1170180.894748, norm of subgrad 1082.419925	dualbound = 2579445.894748, lowerbound=1170180.894748, norm of subgrad 40.478420	 stepsize= 1.000000 
-dualbound = 2579599.990446, lowerbound=1170283.990446, norm of subgrad 1082.455999	dualbound = 2579599.990446, lowerbound=1170283.990446, norm of subgrad 39.762994	 stepsize= 1.000000 
-dualbound = 2579799.395920, lowerbound=1169837.395920, norm of subgrad 1082.262166	dualbound = 2579799.395920, lowerbound=1169837.395920, norm of subgrad 40.662089	 stepsize= 1.000000 
-dualbound = 2579954.118378, lowerbound=1168536.118378, norm of subgrad 1081.689936	dualbound = 2579954.118378, lowerbound=1168536.118378, norm of subgrad 40.886703	 stepsize= 1.000000 
-dualbound = 2580117.164961, lowerbound=1169362.164961, norm of subgrad 1082.095266	dualbound = 2580117.164961, lowerbound=1169362.164961, norm of subgrad 41.605848	 stepsize= 1.000000 
-dualbound = 2580308.068884, lowerbound=1164581.068884, norm of subgrad 1079.858819	dualbound = 2580308.068884, lowerbound=1164581.068884, norm of subgrad 41.290482	 stepsize= 1.000000 
-dualbound = 2580474.596642, lowerbound=1173150.596642, norm of subgrad 1083.797766	dualbound = 2580474.596642, lowerbound=1173150.596642, norm of subgrad 40.416924	 stepsize= 1.000000 
-dualbound = 2580686.288314, lowerbound=1167172.288314, norm of subgrad 1081.005684	dualbound = 2580686.288314, lowerbound=1167172.288314, norm of subgrad 40.158333	 stepsize= 1.000000 
-dualbound = 2580852.631439, lowerbound=1170702.631439, norm of subgrad 1082.673834	dualbound = 2580852.631439, lowerbound=1170702.631439, norm of subgrad 40.575154	 stepsize= 1.000000 
-dualbound = 2581035.824691, lowerbound=1170905.824691, norm of subgrad 1082.745965	dualbound = 2581035.824691, lowerbound=1170905.824691, norm of subgrad 40.201906	 stepsize= 1.000000 
-dualbound = 2581194.645616, lowerbound=1170922.645616, norm of subgrad 1082.826692	dualbound = 2581194.645616, lowerbound=1170922.645616, norm of subgrad 41.830861	 stepsize= 1.000000 
-dualbound = 2581346.662307, lowerbound=1167989.662307, norm of subgrad 1081.444711	dualbound = 2581346.662307, lowerbound=1167989.662307, norm of subgrad 41.048955	 stepsize= 1.000000 
-dualbound = 2581550.499925, lowerbound=1163889.499925, norm of subgrad 1079.531611	dualbound = 2581550.499925, lowerbound=1163889.499925, norm of subgrad 41.265453	 stepsize= 1.000000 
-dualbound = 2581730.487000, lowerbound=1170642.487000, norm of subgrad 1082.664069	dualbound = 2581730.487000, lowerbound=1170642.487000, norm of subgrad 41.218771	 stepsize= 1.000000 
-dualbound = 2581908.534232, lowerbound=1170892.534232, norm of subgrad 1082.774461	dualbound = 2581908.534232, lowerbound=1170892.534232, norm of subgrad 41.061505	 stepsize= 1.000000 
-dualbound = 2582087.058148, lowerbound=1170946.058148, norm of subgrad 1082.762697	dualbound = 2582087.058148, lowerbound=1170946.058148, norm of subgrad 40.093939	 stepsize= 1.000000 
-dualbound = 2582288.676268, lowerbound=1166633.676268, norm of subgrad 1080.793540	dualbound = 2582288.676268, lowerbound=1166633.676268, norm of subgrad 41.019728	 stepsize= 1.000000 
-dualbound = 2582412.098162, lowerbound=1170565.098162, norm of subgrad 1082.612626	dualbound = 2582412.098162, lowerbound=1170565.098162, norm of subgrad 40.105136	 stepsize= 1.000000 
-dualbound = 2582628.395280, lowerbound=1167824.395280, norm of subgrad 1081.318360	dualbound = 2582628.395280, lowerbound=1167824.395280, norm of subgrad 40.512925	 stepsize= 1.000000 
-dualbound = 2582805.148436, lowerbound=1171521.148436, norm of subgrad 1083.047159	dualbound = 2582805.148436, lowerbound=1171521.148436, norm of subgrad 40.580206	 stepsize= 1.000000 
-dualbound = 2582960.011988, lowerbound=1169115.011988, norm of subgrad 1081.943627	dualbound = 2582960.011988, lowerbound=1169115.011988, norm of subgrad 40.519915	 stepsize= 1.000000 
-dualbound = 2583136.200753, lowerbound=1170472.200753, norm of subgrad 1082.569721	dualbound = 2583136.200753, lowerbound=1170472.200753, norm of subgrad 40.757684	 stepsize= 1.000000 
-dualbound = 2583335.426762, lowerbound=1166718.426762, norm of subgrad 1080.835523	dualbound = 2583335.426762, lowerbound=1166718.426762, norm of subgrad 41.063682	 stepsize= 1.000000 
-dualbound = 2583508.948880, lowerbound=1174541.948880, norm of subgrad 1084.486030	dualbound = 2583508.948880, lowerbound=1174541.948880, norm of subgrad 41.731548	 stepsize= 1.000000 
-dualbound = 2583673.113061, lowerbound=1170796.113061, norm of subgrad 1082.741018	dualbound = 2583673.113061, lowerbound=1170796.113061, norm of subgrad 41.184514	 stepsize= 1.000000 
-dualbound = 2583842.402577, lowerbound=1169699.402577, norm of subgrad 1082.212734	dualbound = 2583842.402577, lowerbound=1169699.402577, norm of subgrad 40.672958	 stepsize= 1.000000 
-dualbound = 2584032.493433, lowerbound=1169511.493433, norm of subgrad 1082.095880	dualbound = 2584032.493433, lowerbound=1169511.493433, norm of subgrad 40.125937	 stepsize= 1.000000 
-dualbound = 2584230.221352, lowerbound=1169628.221352, norm of subgrad 1082.137801	dualbound = 2584230.221352, lowerbound=1169628.221352, norm of subgrad 39.896465	 stepsize= 1.000000 
-dualbound = 2584384.820332, lowerbound=1171665.820332, norm of subgrad 1083.114869	dualbound = 2584384.820332, lowerbound=1171665.820332, norm of subgrad 40.331117	 stepsize= 1.000000 
-dualbound = 2584566.035625, lowerbound=1168986.035625, norm of subgrad 1081.852594	dualbound = 2584566.035625, lowerbound=1168986.035625, norm of subgrad 40.002691	 stepsize= 1.000000 
-dualbound = 2584739.535688, lowerbound=1168738.535688, norm of subgrad 1081.743748	dualbound = 2584739.535688, lowerbound=1168738.535688, norm of subgrad 40.056211	 stepsize= 1.000000 
-dualbound = 2584931.776327, lowerbound=1172167.776327, norm of subgrad 1083.338256	dualbound = 2584931.776327, lowerbound=1172167.776327, norm of subgrad 40.573891	 stepsize= 1.000000 
-dualbound = 2585079.206777, lowerbound=1166894.206777, norm of subgrad 1080.902959	dualbound = 2585079.206777, lowerbound=1166894.206777, norm of subgrad 40.055342	 stepsize= 1.000000 
-dualbound = 2585256.879429, lowerbound=1171368.879429, norm of subgrad 1082.979630	dualbound = 2585256.879429, lowerbound=1171368.879429, norm of subgrad 40.665374	 stepsize= 1.000000 
-dualbound = 2585436.770531, lowerbound=1169583.770531, norm of subgrad 1082.186107	dualbound = 2585436.770531, lowerbound=1169583.770531, norm of subgrad 41.507723	 stepsize= 1.000000 
-dualbound = 2585600.315091, lowerbound=1165338.315091, norm of subgrad 1080.192721	dualbound = 2585600.315091, lowerbound=1165338.315091, norm of subgrad 40.515979	 stepsize= 1.000000 
-dualbound = 2585813.504261, lowerbound=1170415.504261, norm of subgrad 1082.511203	dualbound = 2585813.504261, lowerbound=1170415.504261, norm of subgrad 40.350826	 stepsize= 1.000000 
-dualbound = 2585992.349211, lowerbound=1174273.349211, norm of subgrad 1084.295785	dualbound = 2585992.349211, lowerbound=1174273.349211, norm of subgrad 40.035546	 stepsize= 1.000000 
-dualbound = 2586161.221740, lowerbound=1166853.221740, norm of subgrad 1080.911292	dualbound = 2586161.221740, lowerbound=1166853.221740, norm of subgrad 41.047199	 stepsize= 1.000000 
-dualbound = 2586294.769710, lowerbound=1168604.769710, norm of subgrad 1081.746629	dualbound = 2586294.769710, lowerbound=1168604.769710, norm of subgrad 41.286172	 stepsize= 1.000000 
-dualbound = 2586470.508600, lowerbound=1168824.508600, norm of subgrad 1081.812141	dualbound = 2586470.508600, lowerbound=1168824.508600, norm of subgrad 40.850201	 stepsize= 1.000000 
-dualbound = 2586697.512170, lowerbound=1168909.512170, norm of subgrad 1081.808907	dualbound = 2586697.512170, lowerbound=1168909.512170, norm of subgrad 40.348526	 stepsize= 1.000000 
-dualbound = 2586885.563295, lowerbound=1170996.563295, norm of subgrad 1082.770781	dualbound = 2586885.563295, lowerbound=1170996.563295, norm of subgrad 39.800140	 stepsize= 1.000000 
-dualbound = 2587048.682864, lowerbound=1172193.682864, norm of subgrad 1083.385750	dualbound = 2587048.682864, lowerbound=1172193.682864, norm of subgrad 41.159684	 stepsize= 1.000000 
-dualbound = 2587180.302365, lowerbound=1167084.302365, norm of subgrad 1081.022804	dualbound = 2587180.302365, lowerbound=1167084.302365, norm of subgrad 40.713874	 stepsize= 1.000000 
-dualbound = 2587391.481173, lowerbound=1173657.481173, norm of subgrad 1084.050036	dualbound = 2587391.481173, lowerbound=1173657.481173, norm of subgrad 41.450920	 stepsize= 1.000000 
-dualbound = 2587541.942091, lowerbound=1172261.942091, norm of subgrad 1083.404791	dualbound = 2587541.942091, lowerbound=1172261.942091, norm of subgrad 40.675065	 stepsize= 1.000000 
-dualbound = 2587742.078296, lowerbound=1165103.078296, norm of subgrad 1080.059757	dualbound = 2587742.078296, lowerbound=1165103.078296, norm of subgrad 40.325379	 stepsize= 1.000000 
-dualbound = 2587923.877500, lowerbound=1169418.877500, norm of subgrad 1082.078499	dualbound = 2587923.877500, lowerbound=1169418.877500, norm of subgrad 40.703798	 stepsize= 1.000000 
-dualbound = 2588098.540271, lowerbound=1166900.540271, norm of subgrad 1080.919303	dualbound = 2588098.540271, lowerbound=1166900.540271, norm of subgrad 40.751230	 stepsize= 1.000000 
-dualbound = 2588264.371327, lowerbound=1174185.371327, norm of subgrad 1084.285650	dualbound = 2588264.371327, lowerbound=1174185.371327, norm of subgrad 40.691904	 stepsize= 1.000000 
-dualbound = 2588461.047317, lowerbound=1170117.047317, norm of subgrad 1082.377498	dualbound = 2588461.047317, lowerbound=1170117.047317, norm of subgrad 40.257620	 stepsize= 1.000000 
-dualbound = 2588629.568754, lowerbound=1170064.568754, norm of subgrad 1082.364342	dualbound = 2588629.568754, lowerbound=1170064.568754, norm of subgrad 40.205988	 stepsize= 1.000000 
-dualbound = 2588798.665039, lowerbound=1168407.665039, norm of subgrad 1081.612068	dualbound = 2588798.665039, lowerbound=1168407.665039, norm of subgrad 40.572112	 stepsize= 1.000000 
-dualbound = 2588958.381972, lowerbound=1170322.381972, norm of subgrad 1082.459414	dualbound = 2588958.381972, lowerbound=1170322.381972, norm of subgrad 39.442578	 stepsize= 1.000000 
-dualbound = 2589164.972498, lowerbound=1169942.972498, norm of subgrad 1082.286456	dualbound = 2589164.972498, lowerbound=1169942.972498, norm of subgrad 40.094769	 stepsize= 1.000000 
-dualbound = 2589322.657365, lowerbound=1169998.657365, norm of subgrad 1082.333894	dualbound = 2589322.657365, lowerbound=1169998.657365, norm of subgrad 40.070998	 stepsize= 1.000000 
-dualbound = 2589486.795818, lowerbound=1170042.795818, norm of subgrad 1082.382463	dualbound = 2589486.795818, lowerbound=1170042.795818, norm of subgrad 40.904015	 stepsize= 1.000000 
-dualbound = 2589665.781093, lowerbound=1169923.781093, norm of subgrad 1082.308080	dualbound = 2589665.781093, lowerbound=1169923.781093, norm of subgrad 40.570744	 stepsize= 1.000000 
-dualbound = 2589866.276765, lowerbound=1168601.276765, norm of subgrad 1081.661350	dualbound = 2589866.276765, lowerbound=1168601.276765, norm of subgrad 39.881019	 stepsize= 1.000000 
-dualbound = 2590029.511075, lowerbound=1168683.511075, norm of subgrad 1081.752981	dualbound = 2590029.511075, lowerbound=1168683.511075, norm of subgrad 40.856264	 stepsize= 1.000000 
-dualbound = 2590190.054367, lowerbound=1171602.054367, norm of subgrad 1083.106206	dualbound = 2590190.054367, lowerbound=1171602.054367, norm of subgrad 40.957823	 stepsize= 1.000000 
-dualbound = 2590356.867203, lowerbound=1170295.867203, norm of subgrad 1082.508599	dualbound = 2590356.867203, lowerbound=1170295.867203, norm of subgrad 41.180248	 stepsize= 1.000000 
-dualbound = 2590553.390608, lowerbound=1167901.390608, norm of subgrad 1081.378468	dualbound = 2590553.390608, lowerbound=1167901.390608, norm of subgrad 40.920941	 stepsize= 1.000000 
-dualbound = 2590717.868112, lowerbound=1175132.868112, norm of subgrad 1084.705890	dualbound = 2590717.868112, lowerbound=1175132.868112, norm of subgrad 40.230306	 stepsize= 1.000000 
-dualbound = 2590910.824724, lowerbound=1171156.824724, norm of subgrad 1082.890495	dualbound = 2590910.824724, lowerbound=1171156.824724, norm of subgrad 41.084749	 stepsize= 1.000000 
-dualbound = 2591078.250074, lowerbound=1167230.250074, norm of subgrad 1081.045443	dualbound = 2591078.250074, lowerbound=1167230.250074, norm of subgrad 39.955292	 stepsize= 1.000000 
-dualbound = 2591274.348456, lowerbound=1170525.348456, norm of subgrad 1082.606738	dualbound = 2591274.348456, lowerbound=1170525.348456, norm of subgrad 41.329147	 stepsize= 1.000000 
-dualbound = 2591396.314001, lowerbound=1167265.314001, norm of subgrad 1081.093573	dualbound = 2591396.314001, lowerbound=1167265.314001, norm of subgrad 40.248796	 stepsize= 1.000000 
-dualbound = 2591604.615842, lowerbound=1174301.615842, norm of subgrad 1084.353086	dualbound = 2591604.615842, lowerbound=1174301.615842, norm of subgrad 41.572850	 stepsize= 1.000000 
-dualbound = 2591758.973326, lowerbound=1169521.973326, norm of subgrad 1082.141383	dualbound = 2591758.973326, lowerbound=1169521.973326, norm of subgrad 40.772018	 stepsize= 1.000000 
-dualbound = 2591957.429184, lowerbound=1170903.429184, norm of subgrad 1082.768410	dualbound = 2591957.429184, lowerbound=1170903.429184, norm of subgrad 41.017751	 stepsize= 1.000000 
-dualbound = 2592102.509657, lowerbound=1174448.509657, norm of subgrad 1084.405141	dualbound = 2592102.509657, lowerbound=1174448.509657, norm of subgrad 40.386637	 stepsize= 1.000000 
-dualbound = 2592317.284117, lowerbound=1170601.284117, norm of subgrad 1082.608094	dualbound = 2592317.284117, lowerbound=1170601.284117, norm of subgrad 40.666626	 stepsize= 1.000000 
-dualbound = 2592451.380219, lowerbound=1167371.380219, norm of subgrad 1081.155114	dualbound = 2592451.380219, lowerbound=1167371.380219, norm of subgrad 40.732003	 stepsize= 1.000000 
-dualbound = 2592648.144892, lowerbound=1169145.144892, norm of subgrad 1081.948772	dualbound = 2592648.144892, lowerbound=1169145.144892, norm of subgrad 40.801528	 stepsize= 1.000000 
-dualbound = 2592827.033785, lowerbound=1168868.033785, norm of subgrad 1081.823014	dualbound = 2592827.033785, lowerbound=1168868.033785, norm of subgrad 40.643436	 stepsize= 1.000000 
-dualbound = 2593001.505533, lowerbound=1170781.505533, norm of subgrad 1082.715801	dualbound = 2593001.505533, lowerbound=1170781.505533, norm of subgrad 40.822442	 stepsize= 1.000000 
-dualbound = 2593180.191850, lowerbound=1169790.191850, norm of subgrad 1082.233890	dualbound = 2593180.191850, lowerbound=1169790.191850, norm of subgrad 40.232901	 stepsize= 1.000000 
-dualbound = 2593374.465198, lowerbound=1171809.465198, norm of subgrad 1083.163637	dualbound = 2593374.465198, lowerbound=1171809.465198, norm of subgrad 40.351869	 stepsize= 1.000000 
-dualbound = 2593539.351136, lowerbound=1171656.351136, norm of subgrad 1083.079568	dualbound = 2593539.351136, lowerbound=1171656.351136, norm of subgrad 39.621786	 stepsize= 1.000000 
-dualbound = 2593730.637484, lowerbound=1167961.637484, norm of subgrad 1081.390604	dualbound = 2593730.637484, lowerbound=1167961.637484, norm of subgrad 40.438674	 stepsize= 1.000000 
-dualbound = 2593883.704869, lowerbound=1171300.704869, norm of subgrad 1082.922760	dualbound = 2593883.704869, lowerbound=1171300.704869, norm of subgrad 39.674518	 stepsize= 1.000000 
-dualbound = 2594099.820344, lowerbound=1168776.820344, norm of subgrad 1081.733710	dualbound = 2594099.820344, lowerbound=1168776.820344, norm of subgrad 39.838618	 stepsize= 1.000000 
-dualbound = 2594252.956298, lowerbound=1171784.956298, norm of subgrad 1083.154632	dualbound = 2594252.956298, lowerbound=1171784.956298, norm of subgrad 39.901578	 stepsize= 1.000000 
-dualbound = 2594395.966846, lowerbound=1173572.966846, norm of subgrad 1084.000446	dualbound = 2594395.966846, lowerbound=1173572.966846, norm of subgrad 40.336219	 stepsize= 1.000000 
-dualbound = 2594581.849136, lowerbound=1171881.849136, norm of subgrad 1083.224284	dualbound = 2594581.849136, lowerbound=1171881.849136, norm of subgrad 40.974166	 stepsize= 1.000000 
-dualbound = 2594724.265154, lowerbound=1166174.265154, norm of subgrad 1080.599493	dualbound = 2594724.265154, lowerbound=1166174.265154, norm of subgrad 40.784997	 stepsize= 1.000000 
-dualbound = 2594894.234716, lowerbound=1175019.234716, norm of subgrad 1084.653509	dualbound = 2594894.234716, lowerbound=1175019.234716, norm of subgrad 40.298506	 stepsize= 1.000000 
-dualbound = 2595098.754953, lowerbound=1171091.754953, norm of subgrad 1082.852601	dualbound = 2595098.754953, lowerbound=1171091.754953, norm of subgrad 41.018535	 stepsize= 1.000000 
-dualbound = 2595248.772544, lowerbound=1167647.772544, norm of subgrad 1081.255646	dualbound = 2595248.772544, lowerbound=1167647.772544, norm of subgrad 40.199721	 stepsize= 1.000000 
-dualbound = 2595439.293490, lowerbound=1170185.293490, norm of subgrad 1082.420571	dualbound = 2595439.293490, lowerbound=1170185.293490, norm of subgrad 40.490998	 stepsize= 1.000000 
-dualbound = 2595624.108386, lowerbound=1171023.108386, norm of subgrad 1082.844453	dualbound = 2595624.108386, lowerbound=1171023.108386, norm of subgrad 41.398247	 stepsize= 1.000000 
-dualbound = 2595778.581789, lowerbound=1170439.581789, norm of subgrad 1082.569435	dualbound = 2595778.581789, lowerbound=1170439.581789, norm of subgrad 40.883657	 stepsize= 1.000000 
-dualbound = 2595968.235771, lowerbound=1168377.235771, norm of subgrad 1081.624351	dualbound = 2595968.235771, lowerbound=1168377.235771, norm of subgrad 41.516912	 stepsize= 1.000000 
-dualbound = 2596146.065038, lowerbound=1170327.065038, norm of subgrad 1082.499915	dualbound = 2596146.065038, lowerbound=1170327.065038, norm of subgrad 40.704168	 stepsize= 1.000000 
-dualbound = 2596315.867661, lowerbound=1169833.867661, norm of subgrad 1082.273472	dualbound = 2596315.867661, lowerbound=1169833.867661, norm of subgrad 40.642375	 stepsize= 1.000000 
-dualbound = 2596486.311503, lowerbound=1174176.311503, norm of subgrad 1084.284700	dualbound = 2596486.311503, lowerbound=1174176.311503, norm of subgrad 40.834346	 stepsize= 1.000000 
-dualbound = 2596678.958679, lowerbound=1169463.958679, norm of subgrad 1082.074840	dualbound = 2596678.958679, lowerbound=1169463.958679, norm of subgrad 40.182673	 stepsize= 1.000000 
-dualbound = 2596859.813394, lowerbound=1174733.813394, norm of subgrad 1084.509481	dualbound = 2596859.813394, lowerbound=1174733.813394, norm of subgrad 40.098064	 stepsize= 1.000000 
-dualbound = 2597020.544358, lowerbound=1172461.544358, norm of subgrad 1083.453065	dualbound = 2597020.544358, lowerbound=1172461.544358, norm of subgrad 39.619830	 stepsize= 1.000000 
-dualbound = 2597198.787468, lowerbound=1171349.787468, norm of subgrad 1082.947731	dualbound = 2597198.787468, lowerbound=1171349.787468, norm of subgrad 40.053004	 stepsize= 1.000000 
-dualbound = 2597355.808013, lowerbound=1168711.808013, norm of subgrad 1081.756353	dualbound = 2597355.808013, lowerbound=1168711.808013, norm of subgrad 40.521853	 stepsize= 1.000000 
-dualbound = 2597555.465062, lowerbound=1173452.465062, norm of subgrad 1083.925489	dualbound = 2597555.465062, lowerbound=1173452.465062, norm of subgrad 40.517367	 stepsize= 1.000000 
-dualbound = 2597718.388481, lowerbound=1168870.388481, norm of subgrad 1081.798682	dualbound = 2597718.388481, lowerbound=1168870.388481, norm of subgrad 39.760828	 stepsize= 1.000000 
-dualbound = 2597902.210962, lowerbound=1171516.210962, norm of subgrad 1083.037955	dualbound = 2597902.210962, lowerbound=1171516.210962, norm of subgrad 40.482372	 stepsize= 1.000000 
-dualbound = 2598048.802747, lowerbound=1171138.802747, norm of subgrad 1082.868322	dualbound = 2598048.802747, lowerbound=1171138.802747, norm of subgrad 40.144636	 stepsize= 1.000000 
-dualbound = 2598241.086818, lowerbound=1172188.086818, norm of subgrad 1083.347168	dualbound = 2598241.086818, lowerbound=1172188.086818, norm of subgrad 40.562101	 stepsize= 1.000000 
-dualbound = 2598425.662966, lowerbound=1171634.662966, norm of subgrad 1083.081559	dualbound = 2598425.662966, lowerbound=1171634.662966, norm of subgrad 40.194230	 stepsize= 1.000000 
-dualbound = 2598597.614132, lowerbound=1170252.614132, norm of subgrad 1082.479845	dualbound = 2598597.614132, lowerbound=1170252.614132, norm of subgrad 41.011598	 stepsize= 1.000000 
-dualbound = 2598754.659255, lowerbound=1167151.659255, norm of subgrad 1081.034994	dualbound = 2598754.659255, lowerbound=1167151.659255, norm of subgrad 40.522156	 stepsize= 1.000000 
-dualbound = 2598943.966714, lowerbound=1170446.966714, norm of subgrad 1082.558066	dualbound = 2598943.966714, lowerbound=1170446.966714, norm of subgrad 40.918302	 stepsize= 1.000000 
-dualbound = 2599102.075164, lowerbound=1174904.075164, norm of subgrad 1084.633152	dualbound = 2599102.075164, lowerbound=1174904.075164, norm of subgrad 41.025705	 stepsize= 1.000000 
-dualbound = 2599268.693850, lowerbound=1169745.693850, norm of subgrad 1082.237356	dualbound = 2599268.693850, lowerbound=1169745.693850, norm of subgrad 40.726143	 stepsize= 1.000000 
-dualbound = 2599466.062242, lowerbound=1175715.062242, norm of subgrad 1084.957632	dualbound = 2599466.062242, lowerbound=1175715.062242, norm of subgrad 40.191646	 stepsize= 1.000000 
-dualbound = 2599640.886552, lowerbound=1173657.886552, norm of subgrad 1084.014708	dualbound = 2599640.886552, lowerbound=1173657.886552, norm of subgrad 40.060258	 stepsize= 1.000000 
-dualbound = 2599813.717588, lowerbound=1170553.717588, norm of subgrad 1082.557951	dualbound = 2599813.717588, lowerbound=1170553.717588, norm of subgrad 39.380592	 stepsize= 1.000000 
-dualbound = 2599977.867742, lowerbound=1172131.867742, norm of subgrad 1083.306451	dualbound = 2599977.867742, lowerbound=1172131.867742, norm of subgrad 39.813944	 stepsize= 1.000000 
-dualbound = 2600144.110970, lowerbound=1170760.110970, norm of subgrad 1082.690681	dualbound = 2600144.110970, lowerbound=1170760.110970, norm of subgrad 40.314306	 stepsize= 1.000000 
-dualbound = 2600322.126872, lowerbound=1170428.126872, norm of subgrad 1082.557216	dualbound = 2600322.126872, lowerbound=1170428.126872, norm of subgrad 40.987997	 stepsize= 1.000000 
-dualbound = 2600466.290066, lowerbound=1171548.290066, norm of subgrad 1083.061074	dualbound = 2600466.290066, lowerbound=1171548.290066, norm of subgrad 40.213968	 stepsize= 1.000000 
-dualbound = 2600673.556630, lowerbound=1171506.556630, norm of subgrad 1083.027957	dualbound = 2600673.556630, lowerbound=1171506.556630, norm of subgrad 40.623473	 stepsize= 1.000000 
-dualbound = 2600851.195241, lowerbound=1168429.195241, norm of subgrad 1081.607690	dualbound = 2600851.195241, lowerbound=1168429.195241, norm of subgrad 40.294399	 stepsize= 1.000000 
-dualbound = 2601029.470237, lowerbound=1169616.470237, norm of subgrad 1082.179038	dualbound = 2601029.470237, lowerbound=1169616.470237, norm of subgrad 40.905684	 stepsize= 1.000000 
-dualbound = 2601179.402805, lowerbound=1172431.402805, norm of subgrad 1083.459922	dualbound = 2601179.402805, lowerbound=1172431.402805, norm of subgrad 40.049127	 stepsize= 1.000000 
-dualbound = 2601375.156390, lowerbound=1170366.156390, norm of subgrad 1082.494876	dualbound = 2601375.156390, lowerbound=1170366.156390, norm of subgrad 40.308232	 stepsize= 1.000000 
-dualbound = 2601537.232980, lowerbound=1174381.232980, norm of subgrad 1084.373198	dualbound = 2601537.232980, lowerbound=1174381.232980, norm of subgrad 40.571869	 stepsize= 1.000000 
-dualbound = 2601692.257891, lowerbound=1171568.257891, norm of subgrad 1083.087835	dualbound = 2601692.257891, lowerbound=1171568.257891, norm of subgrad 40.816968	 stepsize= 1.000000 
-dualbound = 2601891.237724, lowerbound=1172635.237724, norm of subgrad 1083.573365	dualbound = 2601891.237724, lowerbound=1172635.237724, norm of subgrad 41.170133	 stepsize= 1.000000 
-dualbound = 2602047.070769, lowerbound=1173240.070769, norm of subgrad 1083.832584	dualbound = 2602047.070769, lowerbound=1173240.070769, norm of subgrad 40.110261	 stepsize= 1.000000 
-dualbound = 2602234.265413, lowerbound=1173720.265413, norm of subgrad 1084.054088	dualbound = 2602234.265413, lowerbound=1173720.265413, norm of subgrad 40.499317	 stepsize= 1.000000 
-dualbound = 2602408.768894, lowerbound=1173088.768894, norm of subgrad 1083.745712	dualbound = 2602408.768894, lowerbound=1173088.768894, norm of subgrad 39.881117	 stepsize= 1.000000 
-dualbound = 2602594.172648, lowerbound=1169535.172648, norm of subgrad 1082.133621	dualbound = 2602594.172648, lowerbound=1169535.172648, norm of subgrad 40.784847	 stepsize= 1.000000 
-dualbound = 2602744.025581, lowerbound=1170158.025581, norm of subgrad 1082.420448	dualbound = 2602744.025581, lowerbound=1170158.025581, norm of subgrad 40.321867	 stepsize= 1.000000 
-dualbound = 2602909.486898, lowerbound=1173974.486898, norm of subgrad 1084.204541	dualbound = 2602909.486898, lowerbound=1173974.486898, norm of subgrad 41.115220	 stepsize= 1.000000 
-dualbound = 2603105.177242, lowerbound=1172262.177242, norm of subgrad 1083.371671	dualbound = 2603105.177242, lowerbound=1172262.177242, norm of subgrad 40.344645	 stepsize= 1.000000 
-dualbound = 2603295.921283, lowerbound=1169703.921283, norm of subgrad 1082.155221	dualbound = 2603295.921283, lowerbound=1169703.921283, norm of subgrad 39.328667	 stepsize= 1.000000 
-dualbound = 2603487.223784, lowerbound=1172790.223784, norm of subgrad 1083.589047	dualbound = 2603487.223784, lowerbound=1172790.223784, norm of subgrad 39.576540	 stepsize= 1.000000 
-dualbound = 2603631.655772, lowerbound=1169478.655772, norm of subgrad 1082.114900	dualbound = 2603631.655772, lowerbound=1169478.655772, norm of subgrad 40.477549	 stepsize= 1.000000 
-dualbound = 2603786.025679, lowerbound=1172305.025679, norm of subgrad 1083.397907	dualbound = 2603786.025679, lowerbound=1172305.025679, norm of subgrad 40.004624	 stepsize= 1.000000 
-dualbound = 2603983.298762, lowerbound=1171266.298762, norm of subgrad 1082.917956	dualbound = 2603983.298762, lowerbound=1171266.298762, norm of subgrad 40.524969	 stepsize= 1.000000 
-dualbound = 2604150.285598, lowerbound=1175542.285598, norm of subgrad 1084.917640	dualbound = 2604150.285598, lowerbound=1175542.285598, norm of subgrad 40.877706	 stepsize= 1.000000 
-dualbound = 2604315.302397, lowerbound=1177036.302397, norm of subgrad 1085.574181	dualbound = 2604315.302397, lowerbound=1177036.302397, norm of subgrad 40.000210	 stepsize= 1.000000 
-dualbound = 2604496.436522, lowerbound=1172232.436522, norm of subgrad 1083.367637	dualbound = 2604496.436522, lowerbound=1172232.436522, norm of subgrad 40.424425	 stepsize= 1.000000 
-dualbound = 2604665.048501, lowerbound=1173879.048501, norm of subgrad 1084.125476	dualbound = 2604665.048501, lowerbound=1173879.048501, norm of subgrad 40.219547	 stepsize= 1.000000 
-dualbound = 2604839.198555, lowerbound=1172258.198555, norm of subgrad 1083.376757	dualbound = 2604839.198555, lowerbound=1172258.198555, norm of subgrad 40.263508	 stepsize= 1.000000 
-dualbound = 2604986.861304, lowerbound=1172565.861304, norm of subgrad 1083.525201	dualbound = 2604986.861304, lowerbound=1172565.861304, norm of subgrad 40.108138	 stepsize= 1.000000 
-dualbound = 2605185.118238, lowerbound=1172762.118238, norm of subgrad 1083.614839	dualbound = 2605185.118238, lowerbound=1172762.118238, norm of subgrad 40.709421	 stepsize= 1.000000 
-dualbound = 2605372.852854, lowerbound=1169791.852854, norm of subgrad 1082.218025	dualbound = 2605372.852854, lowerbound=1169791.852854, norm of subgrad 39.896549	 stepsize= 1.000000 
-dualbound = 2605538.966335, lowerbound=1167233.966335, norm of subgrad 1081.061037	dualbound = 2605538.966335, lowerbound=1167233.966335, norm of subgrad 40.312696	 stepsize= 1.000000 
-dualbound = 2605726.485338, lowerbound=1173941.485338, norm of subgrad 1084.123833	dualbound = 2605726.485338, lowerbound=1173941.485338, norm of subgrad 39.629774	 stepsize= 1.000000 
-dualbound = 2605890.509371, lowerbound=1168413.509371, norm of subgrad 1081.581023	dualbound = 2605890.509371, lowerbound=1168413.509371, norm of subgrad 39.598283	 stepsize= 1.000000 
-dualbound = 2606052.232203, lowerbound=1174407.232203, norm of subgrad 1084.367204	dualbound = 2606052.232203, lowerbound=1174407.232203, norm of subgrad 40.083947	 stepsize= 1.000000 
-dualbound = 2606235.504018, lowerbound=1171709.504018, norm of subgrad 1083.136420	dualbound = 2606235.504018, lowerbound=1171709.504018, norm of subgrad 40.721884	 stepsize= 1.000000 
-dualbound = 2606399.769345, lowerbound=1175003.769345, norm of subgrad 1084.642692	dualbound = 2606399.769345, lowerbound=1175003.769345, norm of subgrad 40.128111	 stepsize= 1.000000 
-dualbound = 2606549.103493, lowerbound=1170549.103493, norm of subgrad 1082.624175	dualbound = 2606549.103493, lowerbound=1170549.103493, norm of subgrad 40.930846	 stepsize= 1.000000 
-dualbound = 2606735.118901, lowerbound=1172361.118901, norm of subgrad 1083.433948	dualbound = 2606735.118901, lowerbound=1172361.118901, norm of subgrad 40.669588	 stepsize= 1.000000 
-dualbound = 2606915.237087, lowerbound=1171126.237087, norm of subgrad 1082.850976	dualbound = 2606915.237087, lowerbound=1171126.237087, norm of subgrad 40.250692	 stepsize= 1.000000 
-dualbound = 2607095.200888, lowerbound=1171504.200888, norm of subgrad 1083.046721	dualbound = 2607095.200888, lowerbound=1171504.200888, norm of subgrad 40.816220	 stepsize= 1.000000 
-dualbound = 2607238.575132, lowerbound=1173192.575132, norm of subgrad 1083.835585	dualbound = 2607238.575132, lowerbound=1173192.575132, norm of subgrad 40.624798	 stepsize= 1.000000 
-dualbound = 2607412.622841, lowerbound=1170632.622841, norm of subgrad 1082.624414	dualbound = 2607412.622841, lowerbound=1170632.622841, norm of subgrad 40.212532	 stepsize= 1.000000 
-dualbound = 2607607.226068, lowerbound=1172544.226068, norm of subgrad 1083.493990	dualbound = 2607607.226068, lowerbound=1172544.226068, norm of subgrad 40.119861	 stepsize= 1.000000 
-dualbound = 2607791.544304, lowerbound=1172038.544304, norm of subgrad 1083.262916	dualbound = 2607791.544304, lowerbound=1172038.544304, norm of subgrad 40.053942	 stepsize= 1.000000 
-dualbound = 2607940.638061, lowerbound=1174250.638061, norm of subgrad 1084.308830	dualbound = 2607940.638061, lowerbound=1174250.638061, norm of subgrad 40.300047	 stepsize= 1.000000 
-dualbound = 2608117.184134, lowerbound=1172187.184134, norm of subgrad 1083.338905	dualbound = 2608117.184134, lowerbound=1172187.184134, norm of subgrad 40.156520	 stepsize= 1.000000 
-dualbound = 2608293.903044, lowerbound=1172523.903044, norm of subgrad 1083.489688	dualbound = 2608293.903044, lowerbound=1172523.903044, norm of subgrad 40.033972	 stepsize= 1.000000 
-dualbound = 2608448.969337, lowerbound=1173062.969337, norm of subgrad 1083.738884	dualbound = 2608448.969337, lowerbound=1173062.969337, norm of subgrad 39.775197	 stepsize= 1.000000 
-dualbound = 2608637.009572, lowerbound=1170848.009572, norm of subgrad 1082.701256	dualbound = 2608637.009572, lowerbound=1170848.009572, norm of subgrad 39.774869	 stepsize= 1.000000 
-dualbound = 2608843.270728, lowerbound=1170893.270728, norm of subgrad 1082.728623	dualbound = 2608843.270728, lowerbound=1170893.270728, norm of subgrad 40.177869	 stepsize= 1.000000 
-dualbound = 2608969.729605, lowerbound=1173038.729605, norm of subgrad 1083.754460	dualbound = 2608969.729605, lowerbound=1173038.729605, norm of subgrad 40.142980	 stepsize= 1.000000 
-dualbound = 2609135.876594, lowerbound=1170983.876594, norm of subgrad 1082.802326	dualbound = 2609135.876594, lowerbound=1170983.876594, norm of subgrad 40.535750	 stepsize= 1.000000 
-dualbound = 2609314.784045, lowerbound=1176704.784045, norm of subgrad 1085.443128	dualbound = 2609314.784045, lowerbound=1176704.784045, norm of subgrad 40.754232	 stepsize= 1.000000 
-dualbound = 2609501.233288, lowerbound=1171454.233288, norm of subgrad 1082.992721	dualbound = 2609501.233288, lowerbound=1171454.233288, norm of subgrad 40.068058	 stepsize= 1.000000 
-dualbound = 2609685.953160, lowerbound=1172651.953160, norm of subgrad 1083.577848	dualbound = 2609685.953160, lowerbound=1172651.953160, norm of subgrad 40.911122	 stepsize= 1.000000 
-dualbound = 2609819.612203, lowerbound=1173221.612203, norm of subgrad 1083.829605	dualbound = 2609819.612203, lowerbound=1173221.612203, norm of subgrad 39.983235	 stepsize= 1.000000 
-dualbound = 2610020.071326, lowerbound=1171781.071326, norm of subgrad 1083.156993	dualbound = 2610020.071326, lowerbound=1171781.071326, norm of subgrad 40.601221	 stepsize= 1.000000 
-dualbound = 2610186.017942, lowerbound=1172889.017942, norm of subgrad 1083.665547	dualbound = 2610186.017942, lowerbound=1172889.017942, norm of subgrad 40.099210	 stepsize= 1.000000 
-dualbound = 2610364.421732, lowerbound=1170753.421732, norm of subgrad 1082.658959	dualbound = 2610364.421732, lowerbound=1170753.421732, norm of subgrad 39.691357	 stepsize= 1.000000 
-dualbound = 2610533.266022, lowerbound=1173739.266022, norm of subgrad 1084.024108	dualbound = 2610533.266022, lowerbound=1173739.266022, norm of subgrad 39.215358	 stepsize= 1.000000 
-dualbound = 2610716.335476, lowerbound=1172111.335476, norm of subgrad 1083.301590	dualbound = 2610716.335476, lowerbound=1172111.335476, norm of subgrad 40.175483	 stepsize= 1.000000 
-dualbound = 2610844.900228, lowerbound=1173688.900228, norm of subgrad 1084.054381	dualbound = 2610844.900228, lowerbound=1173688.900228, norm of subgrad 40.169202	 stepsize= 1.000000 
-dualbound = 2611019.691684, lowerbound=1172086.691684, norm of subgrad 1083.310063	dualbound = 2611019.691684, lowerbound=1172086.691684, norm of subgrad 40.605313	 stepsize= 1.000000 
-dualbound = 2611207.766428, lowerbound=1174422.766428, norm of subgrad 1084.390505	dualbound = 2611207.766428, lowerbound=1174422.766428, norm of subgrad 40.842071	 stepsize= 1.000000 
-dualbound = 2611376.577821, lowerbound=1173739.577821, norm of subgrad 1084.070836	dualbound = 2611376.577821, lowerbound=1173739.577821, norm of subgrad 40.482236	 stepsize= 1.000000 
-dualbound = 2611556.749593, lowerbound=1172182.749593, norm of subgrad 1083.334551	dualbound = 2611556.749593, lowerbound=1172182.749593, norm of subgrad 40.139404	 stepsize= 1.000000 
-dualbound = 2611735.173117, lowerbound=1170532.173117, norm of subgrad 1082.550310	dualbound = 2611735.173117, lowerbound=1170532.173117, norm of subgrad 39.514852	 stepsize= 1.000000 
-dualbound = 2611897.609206, lowerbound=1176043.609206, norm of subgrad 1085.115482	dualbound = 2611897.609206, lowerbound=1176043.609206, norm of subgrad 39.930391	 stepsize= 1.000000 
-dualbound = 2612081.028475, lowerbound=1169327.028475, norm of subgrad 1082.011104	dualbound = 2612081.028475, lowerbound=1169327.028475, norm of subgrad 40.055203	 stepsize= 1.000000 
-dualbound = 2612208.686400, lowerbound=1174018.686400, norm of subgrad 1084.247521	dualbound = 2612208.686400, lowerbound=1174018.686400, norm of subgrad 41.251157	 stepsize= 1.000000 
-dualbound = 2612396.712749, lowerbound=1173587.712749, norm of subgrad 1083.977727	dualbound = 2612396.712749, lowerbound=1173587.712749, norm of subgrad 40.100204	 stepsize= 1.000000 
-dualbound = 2612572.488963, lowerbound=1174151.488963, norm of subgrad 1084.231751	dualbound = 2612572.488963, lowerbound=1174151.488963, norm of subgrad 39.784120	 stepsize= 1.000000 
-dualbound = 2612763.532726, lowerbound=1177206.532726, norm of subgrad 1085.639688	dualbound = 2612763.532726, lowerbound=1177206.532726, norm of subgrad 39.975540	 stepsize= 1.000000 
-dualbound = 2612929.738433, lowerbound=1166782.738433, norm of subgrad 1080.836592	dualbound = 2612929.738433, lowerbound=1166782.738433, norm of subgrad 39.889920	 stepsize= 1.000000 
-dualbound = 2613089.646548, lowerbound=1175376.646548, norm of subgrad 1084.815951	dualbound = 2613089.646548, lowerbound=1175376.646548, norm of subgrad 40.111197	 stepsize= 1.000000 
-dualbound = 2613263.361950, lowerbound=1171409.361950, norm of subgrad 1082.978930	dualbound = 2613263.361950, lowerbound=1171409.361950, norm of subgrad 40.096327	 stepsize= 1.000000 
-dualbound = 2613431.882562, lowerbound=1179440.882562, norm of subgrad 1086.688954	dualbound = 2613431.882562, lowerbound=1179440.882562, norm of subgrad 40.255690	 stepsize= 1.000000 
-dualbound = 2613604.758881, lowerbound=1172887.758881, norm of subgrad 1083.678808	dualbound = 2613604.758881, lowerbound=1172887.758881, norm of subgrad 40.557075	 stepsize= 1.000000 
-dualbound = 2613763.608920, lowerbound=1173505.608920, norm of subgrad 1083.973528	dualbound = 2613763.608920, lowerbound=1173505.608920, norm of subgrad 40.642958	 stepsize= 1.000000 
-dualbound = 2613945.699143, lowerbound=1172871.699143, norm of subgrad 1083.660325	dualbound = 2613945.699143, lowerbound=1172871.699143, norm of subgrad 40.374376	 stepsize= 1.000000 
-dualbound = 2614099.117322, lowerbound=1170990.117322, norm of subgrad 1082.826448	dualbound = 2614099.117322, lowerbound=1170990.117322, norm of subgrad 40.944086	 stepsize= 1.000000 
-dualbound = 2614268.925481, lowerbound=1173441.925481, norm of subgrad 1083.957529	dualbound = 2614268.925481, lowerbound=1173441.925481, norm of subgrad 41.131596	 stepsize= 1.000000 
-dualbound = 2614444.806440, lowerbound=1171883.806440, norm of subgrad 1083.193799	dualbound = 2614444.806440, lowerbound=1171883.806440, norm of subgrad 40.011010	 stepsize= 1.000000 
-dualbound = 2614657.544374, lowerbound=1172031.544374, norm of subgrad 1083.266608	dualbound = 2614657.544374, lowerbound=1172031.544374, norm of subgrad 40.592338	 stepsize= 1.000000 
-dualbound = 2614792.522054, lowerbound=1174216.522054, norm of subgrad 1084.318460	dualbound = 2614792.522054, lowerbound=1174216.522054, norm of subgrad 40.804138	 stepsize= 1.000000 
-dualbound = 2614963.219185, lowerbound=1175584.219185, norm of subgrad 1084.917149	dualbound = 2614963.219185, lowerbound=1175584.219185, norm of subgrad 40.394271	 stepsize= 1.000000 
-dualbound = 2615138.373160, lowerbound=1172542.373160, norm of subgrad 1083.506056	dualbound = 2615138.373160, lowerbound=1172542.373160, norm of subgrad 40.226285	 stepsize= 1.000000 
-dualbound = 2615326.891644, lowerbound=1171595.891644, norm of subgrad 1083.067353	dualbound = 2615326.891644, lowerbound=1171595.891644, norm of subgrad 40.342515	 stepsize= 1.000000 
-dualbound = 2615484.681696, lowerbound=1173209.681696, norm of subgrad 1083.834250	dualbound = 2615484.681696, lowerbound=1173209.681696, norm of subgrad 40.556011	 stepsize= 1.000000 
-dualbound = 2615672.104263, lowerbound=1171086.104263, norm of subgrad 1082.825519	dualbound = 2615672.104263, lowerbound=1171086.104263, norm of subgrad 40.154982	 stepsize= 1.000000 
-dualbound = 2615833.994672, lowerbound=1175397.994672, norm of subgrad 1084.820720	dualbound = 2615833.994672, lowerbound=1175397.994672, norm of subgrad 39.998630	 stepsize= 1.000000 
-dualbound = 2615997.886214, lowerbound=1172204.886214, norm of subgrad 1083.368306	dualbound = 2615997.886214, lowerbound=1172204.886214, norm of subgrad 40.569589	 stepsize= 1.000000 
-dualbound = 2616190.419739, lowerbound=1172807.419739, norm of subgrad 1083.638971	dualbound = 2616190.419739, lowerbound=1172807.419739, norm of subgrad 40.725097	 stepsize= 1.000000 
-dualbound = 2616332.951116, lowerbound=1172049.951116, norm of subgrad 1083.302336	dualbound = 2616332.951116, lowerbound=1172049.951116, norm of subgrad 40.454065	 stepsize= 1.000000 
-dualbound = 2616517.566737, lowerbound=1173073.566737, norm of subgrad 1083.782066	dualbound = 2616517.566737, lowerbound=1173073.566737, norm of subgrad 41.165709	 stepsize= 1.000000 
-dualbound = 2616692.950568, lowerbound=1175795.950568, norm of subgrad 1085.011498	dualbound = 2616692.950568, lowerbound=1175795.950568, norm of subgrad 40.365627	 stepsize= 1.000000 
-dualbound = 2616876.209479, lowerbound=1171585.209479, norm of subgrad 1083.032876	dualbound = 2616876.209479, lowerbound=1171585.209479, norm of subgrad 39.474788	 stepsize= 1.000000 
-dualbound = 2617043.967555, lowerbound=1174003.967555, norm of subgrad 1084.168330	dualbound = 2617043.967555, lowerbound=1174003.967555, norm of subgrad 39.809020	 stepsize= 1.000000 
-dualbound = 2617206.294647, lowerbound=1174111.294647, norm of subgrad 1084.192923	dualbound = 2617206.294647, lowerbound=1174111.294647, norm of subgrad 39.055436	 stepsize= 1.000000 
-dualbound = 2617396.294179, lowerbound=1172857.294179, norm of subgrad 1083.621841	dualbound = 2617396.294179, lowerbound=1172857.294179, norm of subgrad 39.610599	 stepsize= 1.000000 
-dualbound = 2617551.158901, lowerbound=1172687.158901, norm of subgrad 1083.566869	dualbound = 2617551.158901, lowerbound=1172687.158901, norm of subgrad 39.810359	 stepsize= 1.000000 
-dualbound = 2617712.296801, lowerbound=1172316.296801, norm of subgrad 1083.422954	dualbound = 2617712.296801, lowerbound=1172316.296801, norm of subgrad 40.621889	 stepsize= 1.000000 
-dualbound = 2617877.945772, lowerbound=1172901.945772, norm of subgrad 1083.696427	dualbound = 2617877.945772, lowerbound=1172901.945772, norm of subgrad 40.763329	 stepsize= 1.000000 
-dualbound = 2618027.168659, lowerbound=1172807.168659, norm of subgrad 1083.672999	dualbound = 2618027.168659, lowerbound=1172807.168659, norm of subgrad 41.100157	 stepsize= 1.000000 
-dualbound = 2618225.968514, lowerbound=1171577.968514, norm of subgrad 1083.059079	dualbound = 2618225.968514, lowerbound=1171577.968514, norm of subgrad 40.469740	 stepsize= 1.000000 
-dualbound = 2618417.297152, lowerbound=1174147.297152, norm of subgrad 1084.231662	dualbound = 2618417.297152, lowerbound=1174147.297152, norm of subgrad 40.029097	 stepsize= 1.000000 
-dualbound = 2618566.026955, lowerbound=1171590.026955, norm of subgrad 1083.060953	dualbound = 2618566.026955, lowerbound=1171590.026955, norm of subgrad 39.745815	 stepsize= 1.000000 
-dualbound = 2618742.802903, lowerbound=1175461.802903, norm of subgrad 1084.880087	dualbound = 2618742.802903, lowerbound=1175461.802903, norm of subgrad 40.985070	 stepsize= 1.000000 
-dualbound = 2618892.424594, lowerbound=1172345.424594, norm of subgrad 1083.433627	dualbound = 2618892.424594, lowerbound=1172345.424594, norm of subgrad 40.405714	 stepsize= 1.000000 
-dualbound = 2619069.129136, lowerbound=1175780.129136, norm of subgrad 1085.009737	dualbound = 2619069.129136, lowerbound=1175780.129136, norm of subgrad 40.530292	 stepsize= 1.000000 
-dualbound = 2619261.219213, lowerbound=1173181.219213, norm of subgrad 1083.799437	dualbound = 2619261.219213, lowerbound=1173181.219213, norm of subgrad 40.399135	 stepsize= 1.000000 
-dualbound = 2619411.431417, lowerbound=1168607.431417, norm of subgrad 1081.712731	dualbound = 2619411.431417, lowerbound=1168607.431417, norm of subgrad 40.561216	 stepsize= 1.000000 
-dualbound = 2619607.330902, lowerbound=1172999.330902, norm of subgrad 1083.733053	dualbound = 2619607.330902, lowerbound=1172999.330902, norm of subgrad 40.913317	 stepsize= 1.000000 
-dualbound = 2619767.845601, lowerbound=1175955.845601, norm of subgrad 1085.084718	dualbound = 2619767.845601, lowerbound=1175955.845601, norm of subgrad 40.168579	 stepsize= 1.000000 
-dualbound = 2619953.373074, lowerbound=1172231.373074, norm of subgrad 1083.349608	dualbound = 2619953.373074, lowerbound=1172231.373074, norm of subgrad 40.006593	 stepsize= 1.000000 
-dualbound = 2620126.216142, lowerbound=1174947.216142, norm of subgrad 1084.601870	dualbound = 2620126.216142, lowerbound=1174947.216142, norm of subgrad 39.835199	 stepsize= 1.000000 
-dualbound = 2620284.551210, lowerbound=1174094.551210, norm of subgrad 1084.211488	dualbound = 2620284.551210, lowerbound=1174094.551210, norm of subgrad 39.728265	 stepsize= 1.000000 
-dualbound = 2620453.819551, lowerbound=1170976.819551, norm of subgrad 1082.795835	dualbound = 2620453.819551, lowerbound=1170976.819551, norm of subgrad 40.487879	 stepsize= 1.000000 
-dualbound = 2620613.058066, lowerbound=1174999.058066, norm of subgrad 1084.628996	dualbound = 2620613.058066, lowerbound=1174999.058066, norm of subgrad 39.752214	 stepsize= 1.000000 
-dualbound = 2620802.829408, lowerbound=1175942.829408, norm of subgrad 1085.069044	dualbound = 2620802.829408, lowerbound=1175942.829408, norm of subgrad 40.271222	 stepsize= 1.000000 
-dualbound = 2620963.622391, lowerbound=1176751.622391, norm of subgrad 1085.471152	dualbound = 2620963.622391, lowerbound=1176751.622391, norm of subgrad 40.703722	 stepsize= 1.000000 
-dualbound = 2621121.201806, lowerbound=1174348.201806, norm of subgrad 1084.341829	dualbound = 2621121.201806, lowerbound=1174348.201806, norm of subgrad 40.082158	 stepsize= 1.000000 
-dualbound = 2621284.511924, lowerbound=1173124.511924, norm of subgrad 1083.769123	dualbound = 2621284.511924, lowerbound=1173124.511924, norm of subgrad 39.928813	 stepsize= 1.000000 
-dualbound = 2621479.604525, lowerbound=1173546.604525, norm of subgrad 1083.977216	dualbound = 2621479.604525, lowerbound=1173546.604525, norm of subgrad 40.682829	 stepsize= 1.000000 
-dualbound = 2621622.187089, lowerbound=1172482.187089, norm of subgrad 1083.475513	dualbound = 2621622.187089, lowerbound=1172482.187089, norm of subgrad 39.743963	 stepsize= 1.000000 
-dualbound = 2621825.742034, lowerbound=1175316.742034, norm of subgrad 1084.759301	dualbound = 2621825.742034, lowerbound=1175316.742034, norm of subgrad 39.869223	 stepsize= 1.000000 
-dualbound = 2621998.963603, lowerbound=1171850.963603, norm of subgrad 1083.181870	dualbound = 2621998.963603, lowerbound=1171850.963603, norm of subgrad 40.065216	 stepsize= 1.000000 
-dualbound = 2622150.735595, lowerbound=1174690.735595, norm of subgrad 1084.487776	dualbound = 2622150.735595, lowerbound=1174690.735595, norm of subgrad 39.683397	 stepsize= 1.000000 
-dualbound = 2622332.095531, lowerbound=1173539.095531, norm of subgrad 1083.988513	dualbound = 2622332.095531, lowerbound=1173539.095531, norm of subgrad 40.906722	 stepsize= 1.000000 
-dualbound = 2622461.486516, lowerbound=1176125.486516, norm of subgrad 1085.177629	dualbound = 2622461.486516, lowerbound=1176125.486516, norm of subgrad 40.179485	 stepsize= 1.000000 
-dualbound = 2622667.424509, lowerbound=1173731.424509, norm of subgrad 1084.066153	dualbound = 2622667.424509, lowerbound=1173731.424509, norm of subgrad 40.913787	 stepsize= 1.000000 
-dualbound = 2622806.322235, lowerbound=1174547.322235, norm of subgrad 1084.440557	dualbound = 2622806.322235, lowerbound=1174547.322235, norm of subgrad 40.036205	 stepsize= 1.000000 
-dualbound = 2623009.860345, lowerbound=1177642.860345, norm of subgrad 1085.885749	dualbound = 2623009.860345, lowerbound=1177642.860345, norm of subgrad 41.334466	 stepsize= 1.000000 
-dualbound = 2623137.485013, lowerbound=1175398.485013, norm of subgrad 1084.859201	dualbound = 2623137.485013, lowerbound=1175398.485013, norm of subgrad 40.603259	 stepsize= 1.000000 
-dualbound = 2623324.372883, lowerbound=1173671.372883, norm of subgrad 1084.080889	dualbound = 2623324.372883, lowerbound=1173671.372883, norm of subgrad 41.795788	 stepsize= 1.000000 
-dualbound = 2623492.887207, lowerbound=1173576.887207, norm of subgrad 1083.998564	dualbound = 2623492.887207, lowerbound=1173576.887207, norm of subgrad 40.552612	 stepsize= 1.000000 
-dualbound = 2623685.131355, lowerbound=1179139.131355, norm of subgrad 1086.549645	dualbound = 2623685.131355, lowerbound=1179139.131355, norm of subgrad 40.536948	 stepsize= 1.000000 
-dualbound = 2623870.947396, lowerbound=1173810.947396, norm of subgrad 1084.047484	dualbound = 2623870.947396, lowerbound=1173810.947396, norm of subgrad 39.163964	 stepsize= 1.000000 
-dualbound = 2624065.801215, lowerbound=1175242.801215, norm of subgrad 1084.725680	dualbound = 2624065.801215, lowerbound=1175242.801215, norm of subgrad 39.772526	 stepsize= 1.000000 
-dualbound = 2624184.833946, lowerbound=1169171.833946, norm of subgrad 1081.962492	dualbound = 2624184.833946, lowerbound=1169171.833946, norm of subgrad 39.875214	 stepsize= 1.000000 
-dualbound = 2624372.155362, lowerbound=1175573.155362, norm of subgrad 1084.878406	dualbound = 2624372.155362, lowerbound=1175573.155362, norm of subgrad 39.690319	 stepsize= 1.000000 
-dualbound = 2624526.399159, lowerbound=1175159.399159, norm of subgrad 1084.692767	dualbound = 2624526.399159, lowerbound=1175159.399159, norm of subgrad 39.411214	 stepsize= 1.000000 
-dualbound = 2624720.426056, lowerbound=1175985.426056, norm of subgrad 1085.089133	dualbound = 2624720.426056, lowerbound=1175985.426056, norm of subgrad 40.336421	 stepsize= 1.000000 
-dualbound = 2624875.179205, lowerbound=1174039.179205, norm of subgrad 1084.212239	dualbound = 2624875.179205, lowerbound=1174039.179205, norm of subgrad 40.394964	 stepsize= 1.000000 
-dualbound = 2625046.512640, lowerbound=1175131.512640, norm of subgrad 1084.698812	dualbound = 2625046.512640, lowerbound=1175131.512640, norm of subgrad 40.141418	 stepsize= 1.000000 
-dualbound = 2625229.072651, lowerbound=1174924.072651, norm of subgrad 1084.590279	dualbound = 2625229.072651, lowerbound=1174924.072651, norm of subgrad 39.931942	 stepsize= 1.000000 
-dualbound = 2625393.962950, lowerbound=1175778.962950, norm of subgrad 1085.002748	dualbound = 2625393.962950, lowerbound=1175778.962950, norm of subgrad 40.210574	 stepsize= 1.000000 
-dualbound = 2625558.363867, lowerbound=1173483.363867, norm of subgrad 1083.975260	dualbound = 2625558.363867, lowerbound=1173483.363867, norm of subgrad 41.029269	 stepsize= 1.000000 
-dualbound = 2625711.930724, lowerbound=1177936.930724, norm of subgrad 1086.028052	dualbound = 2625711.930724, lowerbound=1177936.930724, norm of subgrad 40.909251	 stepsize= 1.000000 
-dualbound = 2625866.965856, lowerbound=1176717.965856, norm of subgrad 1085.451043	dualbound = 2625866.965856, lowerbound=1176717.965856, norm of subgrad 40.509692	 stepsize= 1.000000 
-dualbound = 2626068.581377, lowerbound=1175078.581377, norm of subgrad 1084.685937	dualbound = 2626068.581377, lowerbound=1175078.581377, norm of subgrad 40.824203	 stepsize= 1.000000 
-dualbound = 2626234.619981, lowerbound=1176837.619981, norm of subgrad 1085.478982	dualbound = 2626234.619981, lowerbound=1176837.619981, norm of subgrad 39.912888	 stepsize= 1.000000 
-dualbound = 2626418.901266, lowerbound=1173355.901266, norm of subgrad 1083.851882	dualbound = 2626418.901266, lowerbound=1173355.901266, norm of subgrad 39.538352	 stepsize= 1.000000 
-dualbound = 2626582.430537, lowerbound=1175615.430537, norm of subgrad 1084.928307	dualbound = 2626582.430537, lowerbound=1175615.430537, norm of subgrad 40.218519	 stepsize= 1.000000 
-dualbound = 2626769.247235, lowerbound=1178229.247235, norm of subgrad 1086.097715	dualbound = 2626769.247235, lowerbound=1178229.247235, norm of subgrad 39.570402	 stepsize= 1.000000 
-dualbound = 2626929.453889, lowerbound=1181344.453889, norm of subgrad 1087.555724	dualbound = 2626929.453889, lowerbound=1181344.453889, norm of subgrad 39.914993	 stepsize= 1.000000 
-dualbound = 2627085.811728, lowerbound=1177732.811728, norm of subgrad 1085.908289	dualbound = 2627085.811728, lowerbound=1177732.811728, norm of subgrad 40.253669	 stepsize= 1.000000 
-dualbound = 2627236.294003, lowerbound=1177969.294003, norm of subgrad 1086.000135	dualbound = 2627236.294003, lowerbound=1177969.294003, norm of subgrad 39.717531	 stepsize= 1.000000 
-dualbound = 2627429.160159, lowerbound=1174800.160159, norm of subgrad 1084.526238	dualbound = 2627429.160159, lowerbound=1174800.160159, norm of subgrad 39.873126	 stepsize= 1.000000 
-dualbound = 2627608.623133, lowerbound=1170573.623133, norm of subgrad 1082.574073	dualbound = 2627608.623133, lowerbound=1170573.623133, norm of subgrad 39.654293	 stepsize= 1.000000 
-dualbound = 2627751.860937, lowerbound=1181263.860937, norm of subgrad 1087.521890	dualbound = 2627751.860937, lowerbound=1181263.860937, norm of subgrad 39.789921	 stepsize= 1.000000 
-dualbound = 2627917.846102, lowerbound=1176354.846102, norm of subgrad 1085.259345	dualbound = 2627917.846102, lowerbound=1176354.846102, norm of subgrad 39.987313	 stepsize= 1.000000 
-dualbound = 2628111.734032, lowerbound=1175124.734032, norm of subgrad 1084.705828	dualbound = 2628111.734032, lowerbound=1175124.734032, norm of subgrad 40.692603	 stepsize= 1.000000 
-dualbound = 2628255.181750, lowerbound=1174854.181750, norm of subgrad 1084.610152	dualbound = 2628255.181750, lowerbound=1174854.181750, norm of subgrad 40.846637	 stepsize= 1.000000 
-dualbound = 2628415.684267, lowerbound=1176548.684267, norm of subgrad 1085.386882	dualbound = 2628415.684267, lowerbound=1176548.684267, norm of subgrad 40.945116	 stepsize= 1.000000 
-dualbound = 2628594.963283, lowerbound=1171090.963283, norm of subgrad 1082.876707	dualbound = 2628594.963283, lowerbound=1171090.963283, norm of subgrad 41.355520	 stepsize= 1.000000 
-dualbound = 2628757.578375, lowerbound=1181577.578375, norm of subgrad 1087.674850	dualbound = 2628757.578375, lowerbound=1181577.578375, norm of subgrad 40.269282	 stepsize= 1.000000 
-dualbound = 2628937.117502, lowerbound=1172293.117502, norm of subgrad 1083.382720	dualbound = 2628937.117502, lowerbound=1172293.117502, norm of subgrad 40.056699	 stepsize= 1.000000 
-dualbound = 2629112.366159, lowerbound=1179017.366159, norm of subgrad 1086.492690	dualbound = 2629112.366159, lowerbound=1179017.366159, norm of subgrad 40.301968	 stepsize= 1.000000 
-dualbound = 2629282.446558, lowerbound=1176211.446558, norm of subgrad 1085.178532	dualbound = 2629282.446558, lowerbound=1176211.446558, norm of subgrad 39.636857	 stepsize= 1.000000 
-dualbound = 2629467.825156, lowerbound=1176790.825156, norm of subgrad 1085.456045	dualbound = 2629467.825156, lowerbound=1176790.825156, norm of subgrad 40.117061	 stepsize= 1.000000 
-dualbound = 2629607.160529, lowerbound=1174620.160529, norm of subgrad 1084.491660	dualbound = 2629607.160529, lowerbound=1174620.160529, norm of subgrad 40.513397	 stepsize= 1.000000 
-dualbound = 2629778.474431, lowerbound=1179517.474431, norm of subgrad 1086.708091	dualbound = 2629778.474431, lowerbound=1179517.474431, norm of subgrad 39.853656	 stepsize= 1.000000 
-dualbound = 2629968.961584, lowerbound=1175032.961584, norm of subgrad 1084.640015	dualbound = 2629968.961584, lowerbound=1175032.961584, norm of subgrad 40.018585	 stepsize= 1.000000 
-dualbound = 2630157.083880, lowerbound=1179301.083880, norm of subgrad 1086.601161	dualbound = 2630157.083880, lowerbound=1179301.083880, norm of subgrad 39.863797	 stepsize= 1.000000 
-dualbound = 2630309.749266, lowerbound=1175749.749266, norm of subgrad 1084.962557	dualbound = 2630309.749266, lowerbound=1175749.749266, norm of subgrad 39.327667	 stepsize= 1.000000 
-dualbound = 2630491.837973, lowerbound=1176905.837973, norm of subgrad 1085.481385	dualbound = 2630491.837973, lowerbound=1176905.837973, norm of subgrad 39.320335	 stepsize= 1.000000 
-dualbound = 2630671.929927, lowerbound=1172425.929927, norm of subgrad 1083.415400	dualbound = 2630671.929927, lowerbound=1172425.929927, norm of subgrad 39.282209	 stepsize= 1.000000 
-dualbound = 2630827.990808, lowerbound=1180283.990808, norm of subgrad 1087.053812	dualbound = 2630827.990808, lowerbound=1180283.990808, norm of subgrad 39.472280	 stepsize= 1.000000 
-dualbound = 2630986.189952, lowerbound=1174241.189952, norm of subgrad 1084.303090	dualbound = 2630986.189952, lowerbound=1174241.189952, norm of subgrad 40.375725	 stepsize= 1.000000 
-dualbound = 2631151.232480, lowerbound=1179371.232480, norm of subgrad 1086.674391	dualbound = 2631151.232480, lowerbound=1179371.232480, norm of subgrad 40.682214	 stepsize= 1.000000 
-dualbound = 2631309.409391, lowerbound=1173925.409391, norm of subgrad 1084.167150	dualbound = 2631309.409391, lowerbound=1173925.409391, norm of subgrad 40.634676	 stepsize= 1.000000 
-dualbound = 2631473.619181, lowerbound=1174778.619181, norm of subgrad 1084.549501	dualbound = 2631473.619181, lowerbound=1174778.619181, norm of subgrad 40.412990	 stepsize= 1.000000 
-dualbound = 2631646.626180, lowerbound=1175619.626180, norm of subgrad 1084.953283	dualbound = 2631646.626180, lowerbound=1175619.626180, norm of subgrad 40.951276	 stepsize= 1.000000 
-dualbound = 2631813.506135, lowerbound=1178449.506135, norm of subgrad 1086.258029	dualbound = 2631813.506135, lowerbound=1178449.506135, norm of subgrad 40.913078	 stepsize= 1.000000 
-dualbound = 2631997.033817, lowerbound=1177904.033817, norm of subgrad 1085.999095	dualbound = 2631997.033817, lowerbound=1177904.033817, norm of subgrad 40.908773	 stepsize= 1.000000 
-dualbound = 2632171.417105, lowerbound=1180529.417105, norm of subgrad 1087.188308	dualbound = 2632171.417105, lowerbound=1180529.417105, norm of subgrad 40.291231	 stepsize= 1.000000 
-dualbound = 2632311.416217, lowerbound=1172386.416217, norm of subgrad 1083.468696	dualbound = 2632311.416217, lowerbound=1172386.416217, norm of subgrad 40.718535	 stepsize= 1.000000 
-dualbound = 2632493.027339, lowerbound=1176392.027339, norm of subgrad 1085.278779	dualbound = 2632493.027339, lowerbound=1176392.027339, norm of subgrad 40.244392	 stepsize= 1.000000 
-dualbound = 2632667.797383, lowerbound=1173589.797383, norm of subgrad 1083.993910	dualbound = 2632667.797383, lowerbound=1173589.797383, norm of subgrad 40.345632	 stepsize= 1.000000 
-dualbound = 2632829.301959, lowerbound=1177660.301959, norm of subgrad 1085.878125	dualbound = 2632829.301959, lowerbound=1177660.301959, norm of subgrad 40.404264	 stepsize= 1.000000 
-dualbound = 2633005.351455, lowerbound=1171085.351455, norm of subgrad 1082.832098	dualbound = 2633005.351455, lowerbound=1171085.351455, norm of subgrad 40.200118	 stepsize= 1.000000 
-dualbound = 2633205.349623, lowerbound=1179436.349623, norm of subgrad 1086.660181	dualbound = 2633205.349623, lowerbound=1179436.349623, norm of subgrad 39.924907	 stepsize= 1.000000 
-dualbound = 2633354.534187, lowerbound=1171836.534187, norm of subgrad 1083.189519	dualbound = 2633354.534187, lowerbound=1171836.534187, norm of subgrad 40.152018	 stepsize= 1.000000 
-dualbound = 2633527.180633, lowerbound=1176550.180633, norm of subgrad 1085.374673	dualbound = 2633527.180633, lowerbound=1176550.180633, norm of subgrad 40.751030	 stepsize= 1.000000 
-dualbound = 2633643.891156, lowerbound=1175971.891156, norm of subgrad 1085.143258	dualbound = 2633643.891156, lowerbound=1175971.891156, norm of subgrad 40.996470	 stepsize= 1.000000 
-dualbound = 2633851.309823, lowerbound=1176437.309823, norm of subgrad 1085.314844	dualbound = 2633851.309823, lowerbound=1176437.309823, norm of subgrad 40.968508	 stepsize= 1.000000 
-dualbound = 2634017.901939, lowerbound=1180538.901939, norm of subgrad 1087.212906	dualbound = 2634017.901939, lowerbound=1180538.901939, norm of subgrad 40.738092	 stepsize= 1.000000 
-dualbound = 2634199.403789, lowerbound=1174360.403789, norm of subgrad 1084.331778	dualbound = 2634199.403789, lowerbound=1174360.403789, norm of subgrad 39.956249	 stepsize= 1.000000 
-dualbound = 2634377.151073, lowerbound=1178285.151073, norm of subgrad 1086.151993	dualbound = 2634377.151073, lowerbound=1178285.151073, norm of subgrad 40.233659	 stepsize= 1.000000 
-dualbound = 2634528.434306, lowerbound=1176926.434306, norm of subgrad 1085.543843	dualbound = 2634528.434306, lowerbound=1176926.434306, norm of subgrad 40.376766	 stepsize= 1.000000 
-dualbound = 2634704.694575, lowerbound=1173437.694575, norm of subgrad 1083.920059	dualbound = 2634704.694575, lowerbound=1173437.694575, norm of subgrad 40.264876	 stepsize= 1.000000 
-dualbound = 2634888.126823, lowerbound=1176649.126823, norm of subgrad 1085.373266	dualbound = 2634888.126823, lowerbound=1176649.126823, norm of subgrad 39.616060	 stepsize= 1.000000 
-dualbound = 2635047.643384, lowerbound=1175624.643385, norm of subgrad 1084.905822	dualbound = 2635047.643384, lowerbound=1175624.643385, norm of subgrad 39.440038	 stepsize= 1.000000 
-dualbound = 2635217.892919, lowerbound=1176861.892919, norm of subgrad 1085.480489	dualbound = 2635217.892919, lowerbound=1176861.892919, norm of subgrad 39.702009	 stepsize= 1.000000 
-dualbound = 2635383.421282, lowerbound=1177314.421282, norm of subgrad 1085.724376	dualbound = 2635383.421282, lowerbound=1177314.421282, norm of subgrad 40.602073	 stepsize= 1.000000 
-dualbound = 2635521.590144, lowerbound=1178909.590144, norm of subgrad 1086.442171	dualbound = 2635521.590144, lowerbound=1178909.590144, norm of subgrad 39.814179	 stepsize= 1.000000 
-dualbound = 2635713.909108, lowerbound=1174928.909108, norm of subgrad 1084.592508	dualbound = 2635713.909108, lowerbound=1174928.909108, norm of subgrad 40.053951	 stepsize= 1.000000 
-dualbound = 2635887.747308, lowerbound=1176350.747308, norm of subgrad 1085.242714	dualbound = 2635887.747308, lowerbound=1176350.747308, norm of subgrad 39.684231	 stepsize= 1.000000 
-dualbound = 2636086.125368, lowerbound=1174724.125368, norm of subgrad 1084.484267	dualbound = 2636086.125368, lowerbound=1174724.125368, norm of subgrad 39.753969	 stepsize= 1.000000 
-dualbound = 2636218.132855, lowerbound=1175249.132855, norm of subgrad 1084.760403	dualbound = 2636218.132855, lowerbound=1175249.132855, norm of subgrad 39.849812	 stepsize= 1.000000 
-dualbound = 2636411.171738, lowerbound=1179823.171738, norm of subgrad 1086.880477	dualbound = 2636411.171738, lowerbound=1179823.171738, norm of subgrad 40.976077	 stepsize= 1.000000 
-dualbound = 2636515.726302, lowerbound=1175267.726302, norm of subgrad 1084.804925	dualbound = 2636515.726302, lowerbound=1175267.726302, norm of subgrad 40.479063	 stepsize= 1.000000 
-dualbound = 2636711.676947, lowerbound=1181195.676947, norm of subgrad 1087.515369	dualbound = 2636711.676947, lowerbound=1181195.676947, norm of subgrad 41.109009	 stepsize= 1.000000 
-dualbound = 2636880.570502, lowerbound=1172721.570502, norm of subgrad 1083.614124	dualbound = 2636880.570502, lowerbound=1172721.570502, norm of subgrad 40.827608	 stepsize= 1.000000 
-dualbound = 2637058.027648, lowerbound=1179872.027648, norm of subgrad 1086.869370	dualbound = 2637058.027648, lowerbound=1179872.027648, norm of subgrad 39.880536	 stepsize= 1.000000 
-dualbound = 2637251.466846, lowerbound=1174380.466846, norm of subgrad 1084.349790	dualbound = 2637251.466846, lowerbound=1174380.466846, norm of subgrad 40.341532	 stepsize= 1.000000 
-dualbound = 2637393.666098, lowerbound=1181341.666098, norm of subgrad 1087.585245	dualbound = 2637393.666098, lowerbound=1181341.666098, norm of subgrad 40.524058	 stepsize= 1.000000 
-dualbound = 2637579.867309, lowerbound=1175570.867309, norm of subgrad 1084.922517	dualbound = 2637579.867309, lowerbound=1175570.867309, norm of subgrad 40.892557	 stepsize= 1.000000 
-dualbound = 2637723.995542, lowerbound=1176553.995542, norm of subgrad 1085.371363	dualbound = 2637723.995542, lowerbound=1176553.995542, norm of subgrad 40.263237	 stepsize= 1.000000 
-dualbound = 2637907.783655, lowerbound=1179554.783655, norm of subgrad 1086.728477	dualbound = 2637907.783655, lowerbound=1179554.783655, norm of subgrad 40.097233	 stepsize= 1.000000 
-dualbound = 2638085.706811, lowerbound=1176547.706811, norm of subgrad 1085.324701	dualbound = 2638085.706811, lowerbound=1176547.706811, norm of subgrad 39.495863	 stepsize= 1.000000 
-dualbound = 2638257.003520, lowerbound=1176332.003520, norm of subgrad 1085.227167	dualbound = 2638257.003520, lowerbound=1176332.003520, norm of subgrad 39.462599	 stepsize= 1.000000 
-dualbound = 2638446.660647, lowerbound=1175353.660647, norm of subgrad 1084.792450	dualbound = 2638446.660647, lowerbound=1175353.660647, norm of subgrad 40.132993	 stepsize= 1.000000 
-dualbound = 2638568.491115, lowerbound=1174081.491115, norm of subgrad 1084.220684	dualbound = 2638568.491115, lowerbound=1174081.491115, norm of subgrad 39.684134	 stepsize= 1.000000 
-dualbound = 2638739.793258, lowerbound=1178247.793258, norm of subgrad 1086.123747	dualbound = 2638739.793258, lowerbound=1178247.793258, norm of subgrad 39.853509	 stepsize= 1.000000 
-dualbound = 2638920.518063, lowerbound=1176383.518063, norm of subgrad 1085.249980	dualbound = 2638920.518063, lowerbound=1176383.518063, norm of subgrad 39.556603	 stepsize= 1.000000 
-dualbound = 2639097.914747, lowerbound=1173561.914747, norm of subgrad 1083.977359	dualbound = 2639097.914747, lowerbound=1173561.914747, norm of subgrad 40.278986	 stepsize= 1.000000 
-dualbound = 2639245.375104, lowerbound=1181391.375104, norm of subgrad 1087.625108	dualbound = 2639245.375104, lowerbound=1181391.375104, norm of subgrad 41.042178	 stepsize= 1.000000 
-dualbound = 2639380.242573, lowerbound=1173706.242573, norm of subgrad 1084.091436	dualbound = 2639380.242573, lowerbound=1173706.242573, norm of subgrad 41.022768	 stepsize= 1.000000 
-dualbound = 2639571.026338, lowerbound=1179187.026338, norm of subgrad 1086.578127	dualbound = 2639571.026338, lowerbound=1179187.026338, norm of subgrad 40.691323	 stepsize= 1.000000 
-dualbound = 2639752.846541, lowerbound=1177160.846541, norm of subgrad 1085.668387	dualbound = 2639752.846541, lowerbound=1177160.846541, norm of subgrad 41.192478	 stepsize= 1.000000 
-dualbound = 2639913.397906, lowerbound=1176254.397906, norm of subgrad 1085.241631	dualbound = 2639913.397906, lowerbound=1176254.397906, norm of subgrad 40.688467	 stepsize= 1.000000 
-dualbound = 2640082.438402, lowerbound=1181148.438402, norm of subgrad 1087.489972	dualbound = 2640082.438402, lowerbound=1181148.438402, norm of subgrad 40.682189	 stepsize= 1.000000 
-dualbound = 2640265.273875, lowerbound=1173272.273875, norm of subgrad 1083.840520	dualbound = 2640265.273875, lowerbound=1173272.273875, norm of subgrad 40.259601	 stepsize= 1.000000 
-dualbound = 2640446.069028, lowerbound=1178512.069028, norm of subgrad 1086.273938	dualbound = 2640446.069028, lowerbound=1178512.069028, norm of subgrad 40.740584	 stepsize= 1.000000 
-dualbound = 2640610.810413, lowerbound=1177744.810413, norm of subgrad 1085.893093	dualbound = 2640610.810413, lowerbound=1177744.810413, norm of subgrad 39.796248	 stepsize= 1.000000 
-dualbound = 2640771.226029, lowerbound=1178764.226029, norm of subgrad 1086.355939	dualbound = 2640771.226029, lowerbound=1178764.226029, norm of subgrad 39.565334	 stepsize= 1.000000 
-dualbound = 2640955.591458, lowerbound=1172228.591458, norm of subgrad 1083.318324	dualbound = 2640955.591458, lowerbound=1172228.591458, norm of subgrad 39.170977	 stepsize= 1.000000 
-dualbound = 2641132.025802, lowerbound=1180585.025802, norm of subgrad 1087.179850	dualbound = 2641132.025802, lowerbound=1180585.025802, norm of subgrad 39.388251	 stepsize= 1.000000 
-dualbound = 2641289.259873, lowerbound=1178336.259873, norm of subgrad 1086.176901	dualbound = 2641289.259873, lowerbound=1178336.259873, norm of subgrad 40.015423	 stepsize= 1.000000 
-dualbound = 2641448.675547, lowerbound=1178296.675547, norm of subgrad 1086.131979	dualbound = 2641448.675547, lowerbound=1178296.675547, norm of subgrad 39.311775	 stepsize= 1.000000 
-dualbound = 2641628.217731, lowerbound=1174060.217731, norm of subgrad 1084.225630	dualbound = 2641628.217731, lowerbound=1174060.217731, norm of subgrad 40.798801	 stepsize= 1.000000 
-dualbound = 2641735.090549, lowerbound=1176953.090549, norm of subgrad 1085.580071	dualbound = 2641735.090549, lowerbound=1176953.090549, norm of subgrad 40.470641	 stepsize= 1.000000 
-dualbound = 2641924.694162, lowerbound=1176047.694162, norm of subgrad 1085.166206	dualbound = 2641924.694162, lowerbound=1176047.694162, norm of subgrad 41.564451	 stepsize= 1.000000 
-dualbound = 2642113.249283, lowerbound=1177653.249283, norm of subgrad 1085.881784	dualbound = 2642113.249283, lowerbound=1177653.249283, norm of subgrad 40.921328	 stepsize= 1.000000 
-dualbound = 2642270.527917, lowerbound=1176708.527917, norm of subgrad 1085.444392	dualbound = 2642270.527917, lowerbound=1176708.527917, norm of subgrad 40.475655	 stepsize= 1.000000 
-dualbound = 2642461.743990, lowerbound=1177290.743990, norm of subgrad 1085.700117	dualbound = 2642461.743990, lowerbound=1177290.743990, norm of subgrad 40.561263	 stepsize= 1.000000 
-dualbound = 2642619.471148, lowerbound=1175934.471148, norm of subgrad 1085.047682	dualbound = 2642619.471148, lowerbound=1175934.471148, norm of subgrad 39.391968	 stepsize= 1.000000 
-dualbound = 2642803.073741, lowerbound=1179201.073741, norm of subgrad 1086.572627	dualbound = 2642803.073741, lowerbound=1179201.073741, norm of subgrad 40.281542	 stepsize= 1.000000 
-dualbound = 2642955.764388, lowerbound=1175868.764388, norm of subgrad 1085.042748	dualbound = 2642955.764388, lowerbound=1175868.764388, norm of subgrad 40.021128	 stepsize= 1.000000 
-dualbound = 2643144.890899, lowerbound=1178654.890899, norm of subgrad 1086.336914	dualbound = 2643144.890899, lowerbound=1178654.890899, norm of subgrad 40.769186	 stepsize= 1.000000 
-dualbound = 2643271.366953, lowerbound=1176375.366953, norm of subgrad 1085.296442	dualbound = 2643271.366953, lowerbound=1176375.366953, norm of subgrad 40.242714	 stepsize= 1.000000 
-dualbound = 2643474.054119, lowerbound=1178408.054119, norm of subgrad 1086.207187	dualbound = 2643474.054119, lowerbound=1178408.054119, norm of subgrad 40.505397	 stepsize= 1.000000 
-dualbound = 2643654.301342, lowerbound=1175751.301342, norm of subgrad 1084.976636	dualbound = 2643654.301342, lowerbound=1175751.301342, norm of subgrad 40.040570	 stepsize= 1.000000 
-dualbound = 2643787.442934, lowerbound=1176935.442934, norm of subgrad 1085.547531	dualbound = 2643787.442934, lowerbound=1176935.442934, norm of subgrad 40.139028	 stepsize= 1.000000 
-dualbound = 2643980.356766, lowerbound=1184443.356766, norm of subgrad 1088.987308	dualbound = 2643980.356766, lowerbound=1184443.356766, norm of subgrad 40.532873	 stepsize= 1.000000 
-dualbound = 2644133.164207, lowerbound=1179088.164207, norm of subgrad 1086.519288	dualbound = 2644133.164207, lowerbound=1179088.164207, norm of subgrad 39.859847	 stepsize= 1.000000 
-dualbound = 2644314.799094, lowerbound=1176012.799094, norm of subgrad 1085.083314	dualbound = 2644314.799094, lowerbound=1176012.799094, norm of subgrad 39.681669	 stepsize= 1.000000 
-dualbound = 2644482.135180, lowerbound=1178133.135180, norm of subgrad 1086.093981	dualbound = 2644482.135180, lowerbound=1178133.135180, norm of subgrad 40.426923	 stepsize= 1.000000 
-dualbound = 2644631.626075, lowerbound=1175521.626075, norm of subgrad 1084.899362	dualbound = 2644631.626075, lowerbound=1175521.626075, norm of subgrad 40.428837	 stepsize= 1.000000 
-dualbound = 2644787.101841, lowerbound=1177756.101841, norm of subgrad 1085.970120	dualbound = 2644787.101841, lowerbound=1177756.101841, norm of subgrad 41.598988	 stepsize= 1.000000 
-dualbound = 2644929.669550, lowerbound=1173513.669550, norm of subgrad 1083.983242	dualbound = 2644929.669550, lowerbound=1173513.669550, norm of subgrad 40.602558	 stepsize= 1.000000 
-dualbound = 2645163.607967, lowerbound=1175916.607967, norm of subgrad 1085.071706	dualbound = 2645163.607967, lowerbound=1175916.607967, norm of subgrad 41.206048	 stepsize= 1.000000 
-dualbound = 2645334.850430, lowerbound=1174616.850430, norm of subgrad 1084.449100	dualbound = 2645334.850430, lowerbound=1174616.850430, norm of subgrad 39.802543	 stepsize= 1.000000 
-dualbound = 2645498.378209, lowerbound=1179810.378209, norm of subgrad 1086.846529	dualbound = 2645498.378209, lowerbound=1179810.378209, norm of subgrad 39.856339	 stepsize= 1.000000 
-dualbound = 2645655.276237, lowerbound=1177579.276237, norm of subgrad 1085.815950	dualbound = 2645655.276237, lowerbound=1177579.276237, norm of subgrad 39.672384	 stepsize= 1.000000 
-dualbound = 2645851.036393, lowerbound=1183141.036393, norm of subgrad 1088.381384	dualbound = 2645851.036393, lowerbound=1183141.036393, norm of subgrad 40.357901	 stepsize= 1.000000 
-dualbound = 2645978.811341, lowerbound=1174409.811341, norm of subgrad 1084.374848	dualbound = 2645978.811341, lowerbound=1174409.811341, norm of subgrad 39.834344	 stepsize= 1.000000 
-dualbound = 2646185.045781, lowerbound=1179785.045781, norm of subgrad 1086.836255	dualbound = 2646185.045781, lowerbound=1179785.045781, norm of subgrad 40.425666	 stepsize= 1.000000 
-dualbound = 2646339.897788, lowerbound=1171396.897788, norm of subgrad 1082.977330	dualbound = 2646339.897788, lowerbound=1171396.897788, norm of subgrad 39.973141	 stepsize= 1.000000 
-dualbound = 2646488.336266, lowerbound=1180751.336266, norm of subgrad 1087.311058	dualbound = 2646488.336266, lowerbound=1180751.336266, norm of subgrad 40.527009	 stepsize= 1.000000 
-dualbound = 2646664.098630, lowerbound=1176628.098630, norm of subgrad 1085.410106	dualbound = 2646664.098630, lowerbound=1176628.098630, norm of subgrad 40.776983	 stepsize= 1.000000 
-dualbound = 2646836.597289, lowerbound=1177916.597289, norm of subgrad 1085.989686	dualbound = 2646836.597289, lowerbound=1177916.597289, norm of subgrad 40.367049	 stepsize= 1.000000 
-dualbound = 2646976.894723, lowerbound=1180437.894723, norm of subgrad 1087.156794	dualbound = 2646976.894723, lowerbound=1180437.894723, norm of subgrad 40.153424	 stepsize= 1.000000 
-dualbound = 2647181.293208, lowerbound=1179276.293208, norm of subgrad 1086.617363	dualbound = 2647181.293208, lowerbound=1179276.293208, norm of subgrad 40.809294	 stepsize= 1.000000 
-dualbound = 2647306.977089, lowerbound=1174634.977089, norm of subgrad 1084.485121	dualbound = 2647306.977089, lowerbound=1174634.977089, norm of subgrad 39.983545	 stepsize= 1.000000 
-dualbound = 2647497.833129, lowerbound=1178683.833129, norm of subgrad 1086.379231	dualbound = 2647497.833129, lowerbound=1178683.833129, norm of subgrad 41.555457	 stepsize= 1.000000 
-dualbound = 2647613.785626, lowerbound=1174692.785626, norm of subgrad 1084.554188	dualbound = 2647613.785626, lowerbound=1174692.785626, norm of subgrad 40.999421	 stepsize= 1.000000 
-dualbound = 2647833.976197, lowerbound=1177888.976197, norm of subgrad 1085.982954	dualbound = 2647833.976197, lowerbound=1177888.976197, norm of subgrad 41.111927	 stepsize= 1.000000 
-dualbound = 2647999.371657, lowerbound=1179238.371657, norm of subgrad 1086.591170	dualbound = 2647999.371657, lowerbound=1179238.371657, norm of subgrad 40.092337	 stepsize= 1.000000 
-dualbound = 2648165.559218, lowerbound=1181894.559218, norm of subgrad 1087.817797	dualbound = 2648165.559218, lowerbound=1181894.559218, norm of subgrad 40.239130	 stepsize= 1.000000 
-dualbound = 2648367.259562, lowerbound=1174747.259562, norm of subgrad 1084.513836	dualbound = 2648367.259562, lowerbound=1174747.259562, norm of subgrad 40.307572	 stepsize= 1.000000 
-dualbound = 2648520.648721, lowerbound=1175553.648721, norm of subgrad 1084.915503	dualbound = 2648520.648721, lowerbound=1175553.648721, norm of subgrad 40.514061	 stepsize= 1.000000 
-dualbound = 2648663.345576, lowerbound=1175684.345576, norm of subgrad 1084.975735	dualbound = 2648663.345576, lowerbound=1175684.345576, norm of subgrad 40.381888	 stepsize= 1.000000 
-dualbound = 2648845.450439, lowerbound=1179438.450439, norm of subgrad 1086.677712	dualbound = 2648845.450439, lowerbound=1179438.450439, norm of subgrad 40.151026	 stepsize= 1.000000 
-dualbound = 2649035.752720, lowerbound=1177762.752720, norm of subgrad 1085.887541	dualbound = 2649035.752720, lowerbound=1177762.752720, norm of subgrad 39.740436	 stepsize= 1.000000 
-dualbound = 2649193.276604, lowerbound=1178985.276604, norm of subgrad 1086.473321	dualbound = 2649193.276604, lowerbound=1178985.276604, norm of subgrad 39.956525	 stepsize= 1.000000 
-dualbound = 2649347.025915, lowerbound=1178976.025915, norm of subgrad 1086.470444	dualbound = 2649347.025915, lowerbound=1178976.025915, norm of subgrad 39.946831	 stepsize= 1.000000 
-dualbound = 2649525.217829, lowerbound=1174821.217829, norm of subgrad 1084.536407	dualbound = 2649525.217829, lowerbound=1174821.217829, norm of subgrad 39.701284	 stepsize= 1.000000 
-dualbound = 2649683.236216, lowerbound=1182123.236216, norm of subgrad 1087.922440	dualbound = 2649683.236216, lowerbound=1182123.236216, norm of subgrad 40.125034	 stepsize= 1.000000 
-dualbound = 2649865.360046, lowerbound=1174137.360046, norm of subgrad 1084.232152	dualbound = 2649865.360046, lowerbound=1174137.360046, norm of subgrad 40.051515	 stepsize= 1.000000 
-dualbound = 2650006.996859, lowerbound=1176579.996859, norm of subgrad 1085.400386	dualbound = 2650006.996859, lowerbound=1176579.996859, norm of subgrad 40.689517	 stepsize= 1.000000 
-dualbound = 2650190.985950, lowerbound=1180742.985950, norm of subgrad 1087.304919	dualbound = 2650190.985950, lowerbound=1180742.985950, norm of subgrad 40.902189	 stepsize= 1.000000 
-dualbound = 2650332.854709, lowerbound=1177337.854709, norm of subgrad 1085.735168	dualbound = 2650332.854709, lowerbound=1177337.854709, norm of subgrad 40.309661	 stepsize= 1.000000 
-dualbound = 2650526.793236, lowerbound=1176336.793236, norm of subgrad 1085.259321	dualbound = 2650526.793236, lowerbound=1176336.793236, norm of subgrad 40.557842	 stepsize= 1.000000 
-dualbound = 2650672.851697, lowerbound=1178219.851697, norm of subgrad 1086.128377	dualbound = 2650672.851697, lowerbound=1178219.851697, norm of subgrad 40.013229	 stepsize= 1.000000 
-dualbound = 2650854.945986, lowerbound=1173880.945986, norm of subgrad 1084.136037	dualbound = 2650854.945986, lowerbound=1173880.945986, norm of subgrad 40.645963	 stepsize= 1.000000 
-dualbound = 2651030.268761, lowerbound=1177253.268761, norm of subgrad 1085.669503	dualbound = 2651030.268761, lowerbound=1177253.268761, norm of subgrad 40.004034	 stepsize= 1.000000 
-dualbound = 2651193.989571, lowerbound=1175790.989571, norm of subgrad 1085.027184	dualbound = 2651193.989571, lowerbound=1175790.989571, norm of subgrad 40.702835	 stepsize= 1.000000 
-dualbound = 2651349.974400, lowerbound=1176610.974400, norm of subgrad 1085.374578	dualbound = 2651349.974400, lowerbound=1176610.974400, norm of subgrad 39.786742	 stepsize= 1.000000 
-dualbound = 2651543.939226, lowerbound=1180980.939226, norm of subgrad 1087.404221	dualbound = 2651543.939226, lowerbound=1180980.939226, norm of subgrad 40.754936	 stepsize= 1.000000 
-dualbound = 2651688.658334, lowerbound=1180360.658334, norm of subgrad 1087.082636	dualbound = 2651688.658334, lowerbound=1180360.658334, norm of subgrad 39.149957	 stepsize= 1.000000 
-dualbound = 2651881.936022, lowerbound=1177005.936022, norm of subgrad 1085.533019	dualbound = 2651881.936022, lowerbound=1177005.936022, norm of subgrad 39.614110	 stepsize= 1.000000 
-dualbound = 2652017.140554, lowerbound=1174319.140554, norm of subgrad 1084.357017	dualbound = 2652017.140554, lowerbound=1174319.140554, norm of subgrad 40.573446	 stepsize= 1.000000 
-dualbound = 2652173.695602, lowerbound=1178712.695602, norm of subgrad 1086.362138	dualbound = 2652173.695602, lowerbound=1178712.695602, norm of subgrad 40.330572	 stepsize= 1.000000 
-dualbound = 2652357.562315, lowerbound=1179097.562315, norm of subgrad 1086.518551	dualbound = 2652357.562315, lowerbound=1179097.562315, norm of subgrad 40.110681	 stepsize= 1.000000 
-dualbound = 2652552.149998, lowerbound=1178589.149998, norm of subgrad 1086.270754	dualbound = 2652552.149998, lowerbound=1178589.149998, norm of subgrad 39.869634	 stepsize= 1.000000 
-dualbound = 2652702.532639, lowerbound=1179620.532639, norm of subgrad 1086.779431	dualbound = 2652702.532639, lowerbound=1179620.532639, norm of subgrad 40.241554	 stepsize= 1.000000 
-dualbound = 2652863.263507, lowerbound=1175769.263507, norm of subgrad 1084.996896	dualbound = 2652863.263507, lowerbound=1175769.263507, norm of subgrad 40.121451	 stepsize= 1.000000 
-dualbound = 2653044.007119, lowerbound=1180577.007119, norm of subgrad 1087.198237	dualbound = 2653044.007119, lowerbound=1180577.007119, norm of subgrad 40.046768	 stepsize= 1.000000 
-dualbound = 2653225.348787, lowerbound=1178001.348787, norm of subgrad 1086.030087	dualbound = 2653225.348787, lowerbound=1178001.348787, norm of subgrad 40.513475	 stepsize= 1.000000 
-dualbound = 2653344.939897, lowerbound=1179299.939897, norm of subgrad 1086.628244	dualbound = 2653344.939897, lowerbound=1179299.939897, norm of subgrad 39.756649	 stepsize= 1.000000 
-dualbound = 2653556.482861, lowerbound=1175455.482861, norm of subgrad 1084.837538	dualbound = 2653556.482861, lowerbound=1175455.482861, norm of subgrad 40.355210	 stepsize= 1.000000 
-dualbound = 2653722.189616, lowerbound=1178462.189616, norm of subgrad 1086.214615	dualbound = 2653722.189616, lowerbound=1178462.189616, norm of subgrad 39.569013	 stepsize= 1.000000 
-dualbound = 2653887.829456, lowerbound=1175105.829456, norm of subgrad 1084.671761	dualbound = 2653887.829456, lowerbound=1175105.829456, norm of subgrad 39.656523	 stepsize= 1.000000 
-dualbound = 2654041.995558, lowerbound=1179189.995558, norm of subgrad 1086.569370	dualbound = 2654041.995558, lowerbound=1179189.995558, norm of subgrad 39.964561	 stepsize= 1.000000 
-dualbound = 2654227.038217, lowerbound=1178184.038217, norm of subgrad 1086.086110	dualbound = 2654227.038217, lowerbound=1178184.038217, norm of subgrad 39.800033	 stepsize= 1.000000 
-dualbound = 2654384.265119, lowerbound=1177618.265119, norm of subgrad 1085.857848	dualbound = 2654384.265119, lowerbound=1177618.265119, norm of subgrad 40.326504	 stepsize= 1.000000 
-dualbound = 2654532.846647, lowerbound=1174657.846647, norm of subgrad 1084.527476	dualbound = 2654532.846647, lowerbound=1174657.846647, norm of subgrad 41.116682	 stepsize= 1.000000 
-dualbound = 2654677.452799, lowerbound=1180134.452799, norm of subgrad 1087.036086	dualbound = 2654677.452799, lowerbound=1180134.452799, norm of subgrad 40.713710	 stepsize= 1.000000 
-dualbound = 2654873.288257, lowerbound=1173757.288257, norm of subgrad 1084.086845	dualbound = 2654873.288257, lowerbound=1173757.288257, norm of subgrad 41.022378	 stepsize= 1.000000 
-dualbound = 2655022.347921, lowerbound=1181998.347921, norm of subgrad 1087.906865	dualbound = 2655022.347921, lowerbound=1181998.347921, norm of subgrad 41.134653	 stepsize= 1.000000 
-dualbound = 2655200.826518, lowerbound=1175850.826518, norm of subgrad 1085.022500	dualbound = 2655200.826518, lowerbound=1175850.826518, norm of subgrad 40.018478	 stepsize= 1.000000 
-dualbound = 2655396.576984, lowerbound=1179253.576984, norm of subgrad 1086.579761	dualbound = 2655396.576984, lowerbound=1179253.576984, norm of subgrad 39.971871	 stepsize= 1.000000 
-dualbound = 2655551.727213, lowerbound=1176400.727213, norm of subgrad 1085.271269	dualbound = 2655551.727213, lowerbound=1176400.727213, norm of subgrad 39.599877	 stepsize= 1.000000 
-dualbound = 2655722.556780, lowerbound=1179726.556780, norm of subgrad 1086.807507	dualbound = 2655722.556780, lowerbound=1179726.556780, norm of subgrad 39.935317	 stepsize= 1.000000 
-dualbound = 2655904.879195, lowerbound=1176832.879195, norm of subgrad 1085.480483	dualbound = 2655904.879195, lowerbound=1176832.879195, norm of subgrad 40.215947	 stepsize= 1.000000 
-dualbound = 2656042.537465, lowerbound=1175122.537465, norm of subgrad 1084.697441	dualbound = 2656042.537465, lowerbound=1175122.537465, norm of subgrad 39.795204	 stepsize= 1.000000 
-dualbound = 2656203.114104, lowerbound=1178770.114104, norm of subgrad 1086.390866	dualbound = 2656203.114104, lowerbound=1178770.114104, norm of subgrad 40.442263	 stepsize= 1.000000 
-dualbound = 2656392.143765, lowerbound=1176274.143765, norm of subgrad 1085.191294	dualbound = 2656392.143765, lowerbound=1176274.143765, norm of subgrad 39.433864	 stepsize= 1.000000 
-dualbound = 2656554.056961, lowerbound=1177746.056961, norm of subgrad 1085.892286	dualbound = 2656554.056961, lowerbound=1177746.056961, norm of subgrad 39.722956	 stepsize= 1.000000 
-dualbound = 2656691.383234, lowerbound=1179624.383234, norm of subgrad 1086.802366	dualbound = 2656691.383234, lowerbound=1179624.383234, norm of subgrad 40.648816	 stepsize= 1.000000 
-dualbound = 2656883.938860, lowerbound=1176802.938860, norm of subgrad 1085.454715	dualbound = 2656883.938860, lowerbound=1176802.938860, norm of subgrad 40.019441	 stepsize= 1.000000 
-dualbound = 2657029.767324, lowerbound=1178156.767324, norm of subgrad 1086.105321	dualbound = 2657029.767324, lowerbound=1178156.767324, norm of subgrad 40.172484	 stepsize= 1.000000 
-dualbound = 2657196.402176, lowerbound=1174714.402176, norm of subgrad 1084.544329	dualbound = 2657196.402176, lowerbound=1174714.402176, norm of subgrad 41.093002	 stepsize= 1.000000 
-dualbound = 2657363.166618, lowerbound=1182543.166618, norm of subgrad 1088.116339	dualbound = 2657363.166618, lowerbound=1182543.166618, norm of subgrad 40.258719	 stepsize= 1.000000 
-dualbound = 2657538.663645, lowerbound=1178733.663645, norm of subgrad 1086.370408	dualbound = 2657538.663645, lowerbound=1178733.663645, norm of subgrad 40.527732	 stepsize= 1.000000 
-dualbound = 2657690.529079, lowerbound=1176942.529079, norm of subgrad 1085.542505	dualbound = 2657690.529079, lowerbound=1176942.529079, norm of subgrad 40.148044	 stepsize= 1.000000 
-dualbound = 2657881.472302, lowerbound=1178083.472302, norm of subgrad 1086.077563	dualbound = 2657881.472302, lowerbound=1178083.472302, norm of subgrad 40.889402	 stepsize= 1.000000 
-dualbound = 2658050.327233, lowerbound=1177406.327233, norm of subgrad 1085.746438	dualbound = 2658050.327233, lowerbound=1177406.327233, norm of subgrad 40.098066	 stepsize= 1.000000 
-dualbound = 2658217.654431, lowerbound=1179919.654431, norm of subgrad 1086.903241	dualbound = 2658217.654431, lowerbound=1179919.654431, norm of subgrad 40.079012	 stepsize= 1.000000 
-dualbound = 2658368.016335, lowerbound=1179056.016335, norm of subgrad 1086.523362	dualbound = 2658368.016335, lowerbound=1179056.016335, norm of subgrad 40.340574	 stepsize= 1.000000 
-dualbound = 2658533.940181, lowerbound=1174606.940181, norm of subgrad 1084.460668	dualbound = 2658533.940181, lowerbound=1174606.940181, norm of subgrad 40.173671	 stepsize= 1.000000 
-dualbound = 2658718.828128, lowerbound=1179890.828128, norm of subgrad 1086.883999	dualbound = 2658718.828128, lowerbound=1179890.828128, norm of subgrad 40.135869	 stepsize= 1.000000 
-dualbound = 2658907.520701, lowerbound=1177254.520701, norm of subgrad 1085.665934	dualbound = 2658907.520701, lowerbound=1177254.520701, norm of subgrad 40.058614	 stepsize= 1.000000 
-dualbound = 2659065.903302, lowerbound=1178462.903302, norm of subgrad 1086.193308	dualbound = 2659065.903302, lowerbound=1178462.903302, norm of subgrad 38.876504	 stepsize= 1.000000 
-dualbound = 2659246.385475, lowerbound=1177773.385475, norm of subgrad 1085.894279	dualbound = 2659246.385475, lowerbound=1177773.385475, norm of subgrad 39.667142	 stepsize= 1.000000 
-dualbound = 2659395.929254, lowerbound=1180864.929254, norm of subgrad 1087.347658	dualbound = 2659395.929254, lowerbound=1180864.929254, norm of subgrad 40.119120	 stepsize= 1.000000 
-dualbound = 2659542.213250, lowerbound=1177374.213250, norm of subgrad 1085.740399	dualbound = 2659542.213250, lowerbound=1177374.213250, norm of subgrad 40.053514	 stepsize= 1.000000 
-dualbound = 2659701.880706, lowerbound=1178341.880706, norm of subgrad 1086.177187	dualbound = 2659701.880706, lowerbound=1178341.880706, norm of subgrad 39.983340	 stepsize= 1.000000 
-dualbound = 2659877.042409, lowerbound=1175356.042409, norm of subgrad 1084.829038	dualbound = 2659877.042409, lowerbound=1175356.042409, norm of subgrad 40.904299	 stepsize= 1.000000 
-dualbound = 2660038.524843, lowerbound=1181503.524843, norm of subgrad 1087.628395	dualbound = 2660038.524843, lowerbound=1181503.524843, norm of subgrad 39.918447	 stepsize= 1.000000 
-dualbound = 2660216.020073, lowerbound=1180497.020073, norm of subgrad 1087.159151	dualbound = 2660216.020073, lowerbound=1180497.020073, norm of subgrad 39.943651	 stepsize= 1.000000 
-dualbound = 2660392.317369, lowerbound=1175369.317369, norm of subgrad 1084.817642	dualbound = 2660392.317369, lowerbound=1175369.317369, norm of subgrad 40.451172	 stepsize= 1.000000 
-dualbound = 2660555.261365, lowerbound=1183691.261365, norm of subgrad 1088.644231	dualbound = 2660555.261365, lowerbound=1183691.261365, norm of subgrad 40.223675	 stepsize= 1.000000 
-dualbound = 2660712.784393, lowerbound=1180289.784393, norm of subgrad 1087.081315	dualbound = 2660712.784393, lowerbound=1180289.784393, norm of subgrad 40.168682	 stepsize= 1.000000 
-dualbound = 2660886.597636, lowerbound=1177273.597636, norm of subgrad 1085.653074	dualbound = 2660886.597636, lowerbound=1177273.597636, norm of subgrad 39.278661	 stepsize= 1.000000 
-dualbound = 2661063.349228, lowerbound=1175915.349228, norm of subgrad 1085.042556	dualbound = 2661063.349228, lowerbound=1175915.349228, norm of subgrad 39.733507	 stepsize= 1.000000 
-dualbound = 2661216.632742, lowerbound=1178074.632742, norm of subgrad 1086.056459	dualbound = 2661216.632742, lowerbound=1178074.632742, norm of subgrad 39.966030	 stepsize= 1.000000 
-dualbound = 2661372.784587, lowerbound=1175916.784587, norm of subgrad 1085.060729	dualbound = 2661372.784587, lowerbound=1175916.784587, norm of subgrad 39.951869	 stepsize= 1.000000 
-dualbound = 2661544.241887, lowerbound=1179118.241887, norm of subgrad 1086.531289	dualbound = 2661544.241887, lowerbound=1179118.241887, norm of subgrad 40.043193	 stepsize= 1.000000 
-dualbound = 2661727.004511, lowerbound=1178292.004511, norm of subgrad 1086.157449	dualbound = 2661727.004511, lowerbound=1178292.004511, norm of subgrad 40.357931	 stepsize= 1.000000 
-dualbound = 2661892.883478, lowerbound=1178899.883478, norm of subgrad 1086.440925	dualbound = 2661892.883478, lowerbound=1178899.883478, norm of subgrad 40.247720	 stepsize= 1.000000 
-dualbound = 2662037.780799, lowerbound=1178112.780799, norm of subgrad 1086.090595	dualbound = 2662037.780799, lowerbound=1178112.780799, norm of subgrad 40.310015	 stepsize= 1.000000 
-dualbound = 2662221.069783, lowerbound=1182988.069783, norm of subgrad 1088.317081	dualbound = 2662221.069783, lowerbound=1182988.069783, norm of subgrad 40.364452	 stepsize= 1.000000 
-dualbound = 2662377.811051, lowerbound=1174002.811051, norm of subgrad 1084.189933	dualbound = 2662377.811051, lowerbound=1174002.811051, norm of subgrad 40.270849	 stepsize= 1.000000 
-dualbound = 2662538.958065, lowerbound=1178684.958065, norm of subgrad 1086.374686	dualbound = 2662538.958065, lowerbound=1178684.958065, norm of subgrad 41.062720	 stepsize= 1.000000 
-dualbound = 2662714.625795, lowerbound=1176001.625795, norm of subgrad 1085.089225	dualbound = 2662714.625795, lowerbound=1176001.625795, norm of subgrad 39.908241	 stepsize= 1.000000 
-dualbound = 2662895.505734, lowerbound=1179231.505734, norm of subgrad 1086.575127	dualbound = 2662895.505734, lowerbound=1179231.505734, norm of subgrad 39.935948	 stepsize= 1.000000 
-dualbound = 2663055.259911, lowerbound=1176697.259911, norm of subgrad 1085.425843	dualbound = 2663055.259911, lowerbound=1176697.259911, norm of subgrad 40.146658	 stepsize= 1.000000 
-dualbound = 2663228.769792, lowerbound=1178430.769792, norm of subgrad 1086.219945	dualbound = 2663228.769792, lowerbound=1178430.769792, norm of subgrad 40.205844	 stepsize= 1.000000 
-dualbound = 2663355.871585, lowerbound=1178084.871585, norm of subgrad 1086.086954	dualbound = 2663355.871585, lowerbound=1178084.871585, norm of subgrad 40.337350	 stepsize= 1.000000 
-dualbound = 2663530.058231, lowerbound=1180298.058231, norm of subgrad 1087.106737	dualbound = 2663530.058231, lowerbound=1180298.058231, norm of subgrad 40.953469	 stepsize= 1.000000 
-dualbound = 2663705.615170, lowerbound=1176308.615170, norm of subgrad 1085.257396	dualbound = 2663705.615170, lowerbound=1176308.615170, norm of subgrad 40.627047	 stepsize= 1.000000 
-dualbound = 2663863.706451, lowerbound=1180401.706451, norm of subgrad 1087.123133	dualbound = 2663863.706451, lowerbound=1180401.706451, norm of subgrad 39.913548	 stepsize= 1.000000 
-dualbound = 2664048.014646, lowerbound=1181468.014646, norm of subgrad 1087.616667	dualbound = 2664048.014646, lowerbound=1181468.014646, norm of subgrad 40.327512	 stepsize= 1.000000 
-dualbound = 2664209.102110, lowerbound=1176589.102110, norm of subgrad 1085.369109	dualbound = 2664209.102110, lowerbound=1176589.102110, norm of subgrad 39.976086	 stepsize= 1.000000 
-dualbound = 2664352.832869, lowerbound=1180435.832869, norm of subgrad 1087.142048	dualbound = 2664352.832869, lowerbound=1180435.832869, norm of subgrad 39.821235	 stepsize= 1.000000 
-dualbound = 2664553.039611, lowerbound=1180345.039611, norm of subgrad 1087.091091	dualbound = 2664553.039611, lowerbound=1180345.039611, norm of subgrad 40.276628	 stepsize= 1.000000 
-dualbound = 2664709.279422, lowerbound=1175141.279422, norm of subgrad 1084.657217	dualbound = 2664709.279422, lowerbound=1175141.279422, norm of subgrad 38.681259	 stepsize= 1.000000 
-dualbound = 2664922.065487, lowerbound=1180656.065487, norm of subgrad 1087.224018	dualbound = 2664922.065487, lowerbound=1180656.065487, norm of subgrad 40.159508	 stepsize= 1.000000 
-dualbound = 2665035.649986, lowerbound=1174890.649986, norm of subgrad 1084.576254	dualbound = 2665035.649986, lowerbound=1174890.649986, norm of subgrad 39.097116	 stepsize= 1.000000 
-dualbound = 2665213.945227, lowerbound=1179681.945227, norm of subgrad 1086.779161	dualbound = 2665213.945227, lowerbound=1179681.945227, norm of subgrad 39.815766	 stepsize= 1.000000 
-dualbound = 2665372.846174, lowerbound=1177827.846174, norm of subgrad 1085.959873	dualbound = 2665372.846174, lowerbound=1177827.846174, norm of subgrad 40.495690	 stepsize= 1.000000 
-dualbound = 2665540.896451, lowerbound=1183214.896451, norm of subgrad 1088.429096	dualbound = 2665540.896451, lowerbound=1183214.896451, norm of subgrad 40.386263	 stepsize= 1.000000 
-dualbound = 2665693.511575, lowerbound=1173670.511575, norm of subgrad 1084.014996	dualbound = 2665693.511575, lowerbound=1173670.511575, norm of subgrad 39.630987	 stepsize= 1.000000 
-dualbound = 2665882.933383, lowerbound=1177596.933383, norm of subgrad 1085.856313	dualbound = 2665882.933383, lowerbound=1177596.933383, norm of subgrad 40.944130	 stepsize= 1.000000 
-dualbound = 2665997.831649, lowerbound=1182638.831649, norm of subgrad 1088.189704	dualbound = 2665997.831649, lowerbound=1182638.831649, norm of subgrad 40.409136	 stepsize= 1.000000 
-dualbound = 2666206.023105, lowerbound=1179454.023105, norm of subgrad 1086.683497	dualbound = 2666206.023105, lowerbound=1179454.023105, norm of subgrad 40.437501	 stepsize= 1.000000 
-dualbound = 2666377.558028, lowerbound=1179199.558028, norm of subgrad 1086.583894	dualbound = 2666377.558028, lowerbound=1179199.558028, norm of subgrad 40.454109	 stepsize= 1.000000 
-dualbound = 2666524.742932, lowerbound=1178859.742932, norm of subgrad 1086.424753	dualbound = 2666524.742932, lowerbound=1178859.742932, norm of subgrad 40.077237	 stepsize= 1.000000 
-dualbound = 2666704.425855, lowerbound=1177104.425855, norm of subgrad 1085.601412	dualbound = 2666704.425855, lowerbound=1177104.425855, norm of subgrad 40.070974	 stepsize= 1.000000 
-dualbound = 2666866.125756, lowerbound=1181451.125756, norm of subgrad 1087.605225	dualbound = 2666866.125756, lowerbound=1181451.125756, norm of subgrad 39.946213	 stepsize= 1.000000 
-dualbound = 2667009.428872, lowerbound=1174163.428872, norm of subgrad 1084.265848	dualbound = 2667009.428872, lowerbound=1174163.428872, norm of subgrad 40.153494	 stepsize= 1.000000 
-dualbound = 2667205.323991, lowerbound=1179976.323991, norm of subgrad 1086.930690	dualbound = 2667205.323991, lowerbound=1179976.323991, norm of subgrad 40.470917	 stepsize= 1.000000 
-dualbound = 2667379.075025, lowerbound=1180332.075025, norm of subgrad 1087.086968	dualbound = 2667379.075025, lowerbound=1180332.075025, norm of subgrad 39.996888	 stepsize= 1.000000 
-dualbound = 2667545.133699, lowerbound=1179614.133699, norm of subgrad 1086.751183	dualbound = 2667545.133699, lowerbound=1179614.133699, norm of subgrad 39.749952	 stepsize= 1.000000 
-dualbound = 2667722.348067, lowerbound=1179029.348067, norm of subgrad 1086.456786	dualbound = 2667722.348067, lowerbound=1179029.348067, norm of subgrad 39.194571	 stepsize= 1.000000 
-dualbound = 2667871.486600, lowerbound=1179810.486600, norm of subgrad 1086.892583	dualbound = 2667871.486600, lowerbound=1179810.486600, norm of subgrad 40.916238	 stepsize= 1.000000 
-dualbound = 2668011.481159, lowerbound=1182020.481159, norm of subgrad 1087.886704	dualbound = 2668011.481159, lowerbound=1182020.481159, norm of subgrad 40.211871	 stepsize= 1.000000 
-dualbound = 2668203.033218, lowerbound=1176893.033218, norm of subgrad 1085.498058	dualbound = 2668203.033218, lowerbound=1176893.033218, norm of subgrad 40.056860	 stepsize= 1.000000 
-dualbound = 2668340.535995, lowerbound=1181221.535995, norm of subgrad 1087.507948	dualbound = 2668340.535995, lowerbound=1181221.535995, norm of subgrad 39.868569	 stepsize= 1.000000 
-dualbound = 2668546.204182, lowerbound=1177166.204182, norm of subgrad 1085.648748	dualbound = 2668546.204182, lowerbound=1177166.204182, norm of subgrad 40.898266	 stepsize= 1.000000 
-dualbound = 2668684.606370, lowerbound=1178958.606370, norm of subgrad 1086.490040	dualbound = 2668684.606370, lowerbound=1178958.606370, norm of subgrad 40.501879	 stepsize= 1.000000 
-dualbound = 2668852.496778, lowerbound=1176905.496778, norm of subgrad 1085.522684	dualbound = 2668852.496778, lowerbound=1176905.496778, norm of subgrad 40.272701	 stepsize= 1.000000 
-dualbound = 2669025.316643, lowerbound=1177657.316643, norm of subgrad 1085.868462	dualbound = 2669025.316643, lowerbound=1177657.316643, norm of subgrad 40.321457	 stepsize= 1.000000 
-dualbound = 2669215.573156, lowerbound=1179089.573156, norm of subgrad 1086.505211	dualbound = 2669215.573156, lowerbound=1179089.573156, norm of subgrad 39.928142	 stepsize= 1.000000 
-dualbound = 2669381.506862, lowerbound=1178743.506862, norm of subgrad 1086.337658	dualbound = 2669381.506862, lowerbound=1178743.506862, norm of subgrad 39.394590	 stepsize= 1.000000 
-dualbound = 2669537.944304, lowerbound=1173598.944304, norm of subgrad 1083.983369	dualbound = 2669537.944304, lowerbound=1173598.944304, norm of subgrad 39.716967	 stepsize= 1.000000 
-dualbound = 2669698.557338, lowerbound=1180568.557338, norm of subgrad 1087.209528	dualbound = 2669698.557338, lowerbound=1180568.557338, norm of subgrad 40.207127	 stepsize= 1.000000 
-dualbound = 2669859.022219, lowerbound=1176913.022219, norm of subgrad 1085.545956	dualbound = 2669859.022219, lowerbound=1176913.022219, norm of subgrad 40.711975	 stepsize= 1.000000 
-dualbound = 2669992.792267, lowerbound=1184708.792267, norm of subgrad 1089.114683	dualbound = 2669992.792267, lowerbound=1184708.792267, norm of subgrad 39.947091	 stepsize= 1.000000 
-dualbound = 2670194.806767, lowerbound=1179801.806767, norm of subgrad 1086.824644	dualbound = 2670194.806767, lowerbound=1179801.806767, norm of subgrad 39.849900	 stepsize= 1.000000 
-dualbound = 2670357.768968, lowerbound=1179019.768968, norm of subgrad 1086.455599	dualbound = 2670357.768968, lowerbound=1179019.768968, norm of subgrad 39.101946	 stepsize= 1.000000 
-dualbound = 2670551.752892, lowerbound=1178992.752892, norm of subgrad 1086.482744	dualbound = 2670551.752892, lowerbound=1178992.752892, norm of subgrad 40.570727	 stepsize= 1.000000 
-dualbound = 2670649.024888, lowerbound=1180332.024888, norm of subgrad 1087.092004	dualbound = 2670649.024888, lowerbound=1180332.024888, norm of subgrad 39.169784	 stepsize= 1.000000 
-dualbound = 2670866.535501, lowerbound=1184256.535501, norm of subgrad 1088.878109	dualbound = 2670866.535501, lowerbound=1184256.535501, norm of subgrad 40.205853	 stepsize= 1.000000 
-dualbound = 2671011.960637, lowerbound=1177965.960637, norm of subgrad 1085.999521	dualbound = 2671011.960637, lowerbound=1177965.960637, norm of subgrad 39.679026	 stepsize= 1.000000 
-dualbound = 2671182.256238, lowerbound=1180046.256238, norm of subgrad 1086.980798	dualbound = 2671182.256238, lowerbound=1180046.256238, norm of subgrad 40.636137	 stepsize= 1.000000 
-dualbound = 2671304.601362, lowerbound=1180602.601362, norm of subgrad 1087.261975	dualbound = 2671304.601362, lowerbound=1180602.601362, norm of subgrad 40.722784	 stepsize= 1.000000 
-dualbound = 2671487.364052, lowerbound=1179891.364052, norm of subgrad 1086.908167	dualbound = 2671487.364052, lowerbound=1179891.364052, norm of subgrad 40.752456	 stepsize= 1.000000 
-dualbound = 2671671.932463, lowerbound=1179484.932463, norm of subgrad 1086.734527	dualbound = 2671671.932463, lowerbound=1179484.932463, norm of subgrad 41.128681	 stepsize= 1.000000 
-dualbound = 2671788.967892, lowerbound=1180082.967892, norm of subgrad 1087.030344	dualbound = 2671788.967892, lowerbound=1180082.967892, norm of subgrad 40.853830	 stepsize= 1.000000 
-dualbound = 2671992.302985, lowerbound=1178724.302985, norm of subgrad 1086.351832	dualbound = 2671992.302985, lowerbound=1178724.302985, norm of subgrad 40.488703	 stepsize= 1.000000 
-dualbound = 2672179.007727, lowerbound=1178151.007727, norm of subgrad 1086.049266	dualbound = 2672179.007727, lowerbound=1178151.007727, norm of subgrad 39.226327	 stepsize= 1.000000 
-dualbound = 2672362.250690, lowerbound=1175234.250690, norm of subgrad 1084.728192	dualbound = 2672362.250690, lowerbound=1175234.250690, norm of subgrad 39.802550	 stepsize= 1.000000 
-dualbound = 2672496.121878, lowerbound=1179887.121878, norm of subgrad 1086.882294	dualbound = 2672496.121878, lowerbound=1179887.121878, norm of subgrad 39.495205	 stepsize= 1.000000 
-dualbound = 2672679.031332, lowerbound=1179384.031332, norm of subgrad 1086.631967	dualbound = 2672679.031332, lowerbound=1179384.031332, norm of subgrad 39.596836	 stepsize= 1.000000 
-dualbound = 2672853.257551, lowerbound=1177563.257551, norm of subgrad 1085.796140	dualbound = 2672853.257551, lowerbound=1177563.257551, norm of subgrad 39.550300	 stepsize= 1.000000 
-dualbound = 2673007.867620, lowerbound=1179964.867620, norm of subgrad 1086.938760	dualbound = 2673007.867620, lowerbound=1179964.867620, norm of subgrad 40.318855	 stepsize= 1.000000 
-dualbound = 2673144.553494, lowerbound=1178443.553494, norm of subgrad 1086.226290	dualbound = 2673144.553494, lowerbound=1178443.553494, norm of subgrad 39.757840	 stepsize= 1.000000 
-dualbound = 2673345.861010, lowerbound=1183601.861010, norm of subgrad 1088.599955	dualbound = 2673345.861010, lowerbound=1183601.861010, norm of subgrad 40.611667	 stepsize= 1.000000 
-dualbound = 2673481.462281, lowerbound=1181538.462281, norm of subgrad 1087.643996	dualbound = 2673481.462281, lowerbound=1181538.462281, norm of subgrad 39.580314	 stepsize= 1.000000 
-dualbound = 2673682.408502, lowerbound=1175708.408502, norm of subgrad 1084.947652	dualbound = 2673682.408502, lowerbound=1175708.408502, norm of subgrad 40.049297	 stepsize= 1.000000 
-dualbound = 2673824.141907, lowerbound=1180849.141907, norm of subgrad 1087.340398	dualbound = 2673824.141907, lowerbound=1180849.141907, norm of subgrad 40.021662	 stepsize= 1.000000 
-dualbound = 2673975.490300, lowerbound=1184670.490300, norm of subgrad 1089.096640	dualbound = 2673975.490300, lowerbound=1184670.490300, norm of subgrad 40.154058	 stepsize= 1.000000 
-dualbound = 2674142.069770, lowerbound=1177674.069770, norm of subgrad 1085.863744	dualbound = 2674142.069770, lowerbound=1177674.069770, norm of subgrad 39.907136	 stepsize= 1.000000 
-dualbound = 2674330.165752, lowerbound=1179472.165752, norm of subgrad 1086.672520	dualbound = 2674330.165752, lowerbound=1179472.165752, norm of subgrad 39.662274	 stepsize= 1.000000 
-dualbound = 2674497.676331, lowerbound=1175012.676331, norm of subgrad 1084.625593	dualbound = 2674497.676331, lowerbound=1175012.676331, norm of subgrad 39.591799	 stepsize= 1.000000 
-dualbound = 2674642.902377, lowerbound=1181242.902377, norm of subgrad 1087.499840	dualbound = 2674642.902377, lowerbound=1181242.902377, norm of subgrad 39.474372	 stepsize= 1.000000 
-dualbound = 2674802.179558, lowerbound=1179632.179558, norm of subgrad 1086.756725	dualbound = 2674802.179558, lowerbound=1179632.179558, norm of subgrad 39.588852	 stepsize= 1.000000 
-dualbound = 2674978.556412, lowerbound=1181416.556412, norm of subgrad 1087.592091	dualbound = 2674978.556412, lowerbound=1181416.556412, norm of subgrad 40.204190	 stepsize= 1.000000 
-dualbound = 2675176.679190, lowerbound=1174014.679190, norm of subgrad 1084.168197	dualbound = 2675176.679190, lowerbound=1174014.679190, norm of subgrad 40.051502	 stepsize= 1.000000 
-dualbound = 2675288.698997, lowerbound=1180202.698997, norm of subgrad 1087.070236	dualbound = 2675288.698997, lowerbound=1180202.698997, norm of subgrad 40.385886	 stepsize= 1.000000 
-dualbound = 2675441.200612, lowerbound=1181449.200612, norm of subgrad 1087.633302	dualbound = 2675441.200612, lowerbound=1181449.200612, norm of subgrad 40.614057	 stepsize= 1.000000 
-dualbound = 2675636.208904, lowerbound=1176103.208904, norm of subgrad 1085.135572	dualbound = 2675636.208904, lowerbound=1176103.208904, norm of subgrad 40.137368	 stepsize= 1.000000 
-dualbound = 2675790.779845, lowerbound=1182207.779845, norm of subgrad 1087.971406	dualbound = 2675790.779845, lowerbound=1182207.779845, norm of subgrad 40.355557	 stepsize= 1.000000 
-dualbound = 2675938.032567, lowerbound=1181892.032567, norm of subgrad 1087.845133	dualbound = 2675938.032567, lowerbound=1181892.032567, norm of subgrad 40.770734	 stepsize= 1.000000 
-dualbound = 2676102.014224, lowerbound=1178162.014224, norm of subgrad 1086.097608	dualbound = 2676102.014224, lowerbound=1178162.014224, norm of subgrad 40.124577	 stepsize= 1.000000 
-dualbound = 2676298.709868, lowerbound=1181420.709868, norm of subgrad 1087.612849	dualbound = 2676298.709868, lowerbound=1181420.709868, norm of subgrad 40.959683	 stepsize= 1.000000 
-dualbound = 2676448.938536, lowerbound=1179745.938536, norm of subgrad 1086.811823	dualbound = 2676448.938536, lowerbound=1179745.938536, norm of subgrad 39.550331	 stepsize= 1.000000 
-dualbound = 2676623.353417, lowerbound=1181883.353417, norm of subgrad 1087.814025	dualbound = 2676623.353417, lowerbound=1181883.353417, norm of subgrad 40.378396	 stepsize= 1.000000 
-dualbound = 2676787.157778, lowerbound=1176458.157778, norm of subgrad 1085.330437	dualbound = 2676787.157778, lowerbound=1176458.157778, norm of subgrad 40.593157	 stepsize= 1.000000 
-dualbound = 2676933.537806, lowerbound=1179062.537806, norm of subgrad 1086.528664	dualbound = 2676933.537806, lowerbound=1179062.537806, norm of subgrad 40.353191	 stepsize= 1.000000 
-dualbound = 2677107.425786, lowerbound=1182404.425786, norm of subgrad 1088.035122	dualbound = 2677107.425786, lowerbound=1182404.425786, norm of subgrad 39.873399	 stepsize= 1.000000 
-dualbound = 2677281.382995, lowerbound=1179270.382995, norm of subgrad 1086.593016	dualbound = 2677281.382995, lowerbound=1179270.382995, norm of subgrad 39.849181	 stepsize= 1.000000 
-dualbound = 2677444.664113, lowerbound=1177913.664113, norm of subgrad 1086.004910	dualbound = 2677444.664113, lowerbound=1177913.664113, norm of subgrad 40.697434	 stepsize= 1.000000 
-dualbound = 2677581.269768, lowerbound=1180883.269768, norm of subgrad 1087.374944	dualbound = 2677581.269768, lowerbound=1180883.269768, norm of subgrad 40.467341	 stepsize= 1.000000 
-dualbound = 2677798.954855, lowerbound=1175515.954855, norm of subgrad 1084.830381	dualbound = 2677798.954855, lowerbound=1175515.954855, norm of subgrad 39.480186	 stepsize= 1.000000 
-dualbound = 2677956.955255, lowerbound=1183498.955255, norm of subgrad 1088.515023	dualbound = 2677956.955255, lowerbound=1183498.955255, norm of subgrad 39.038448	 stepsize= 1.000000 
-dualbound = 2678124.384698, lowerbound=1181873.384698, norm of subgrad 1087.763019	dualbound = 2678124.384698, lowerbound=1181873.384698, norm of subgrad 39.018322	 stepsize= 1.000000 
-dualbound = 2678322.691710, lowerbound=1178806.691710, norm of subgrad 1086.352011	dualbound = 2678322.691710, lowerbound=1178806.691710, norm of subgrad 39.399328	 stepsize= 1.000000 
-dualbound = 2678444.422723, lowerbound=1183205.422723, norm of subgrad 1088.400856	dualbound = 2678444.422723, lowerbound=1183205.422723, norm of subgrad 39.150109	 stepsize= 1.000000 
-dualbound = 2678611.115568, lowerbound=1179634.115568, norm of subgrad 1086.782920	dualbound = 2678611.115568, lowerbound=1179634.115568, norm of subgrad 40.369454	 stepsize= 1.000000 
-dualbound = 2678780.133467, lowerbound=1178267.133467, norm of subgrad 1086.117458	dualbound = 2678780.133467, lowerbound=1178267.133467, norm of subgrad 39.408348	 stepsize= 1.000000 
-dualbound = 2678950.604102, lowerbound=1180771.604102, norm of subgrad 1087.273013	dualbound = 2678950.604102, lowerbound=1180771.604102, norm of subgrad 39.515448	 stepsize= 1.000000 
-dualbound = 2679107.217030, lowerbound=1178505.217030, norm of subgrad 1086.245928	dualbound = 2679107.217030, lowerbound=1178505.217030, norm of subgrad 39.769497	 stepsize= 1.000000 
-dualbound = 2679255.029165, lowerbound=1173530.029165, norm of subgrad 1083.951581	dualbound = 2679255.029165, lowerbound=1173530.029165, norm of subgrad 39.608233	 stepsize= 1.000000 
-dualbound = 2679450.625794, lowerbound=1181580.625794, norm of subgrad 1087.663839	dualbound = 2679450.625794, lowerbound=1181580.625794, norm of subgrad 40.343483	 stepsize= 1.000000 
-dualbound = 2679590.804361, lowerbound=1178019.804361, norm of subgrad 1086.028915	dualbound = 2679590.804361, lowerbound=1178019.804361, norm of subgrad 39.738880	 stepsize= 1.000000 
-dualbound = 2679759.993065, lowerbound=1181694.993065, norm of subgrad 1087.762839	dualbound = 2679759.993065, lowerbound=1181694.993065, norm of subgrad 41.257590	 stepsize= 1.000000 
-dualbound = 2679906.524829, lowerbound=1181123.524829, norm of subgrad 1087.485873	dualbound = 2679906.524829, lowerbound=1181123.524829, norm of subgrad 40.602115	 stepsize= 1.000000 
-dualbound = 2680097.222844, lowerbound=1181788.222844, norm of subgrad 1087.760646	dualbound = 2680097.222844, lowerbound=1181788.222844, norm of subgrad 40.319946	 stepsize= 1.000000 
-dualbound = 2680244.379457, lowerbound=1178353.379457, norm of subgrad 1086.182940	dualbound = 2680244.379457, lowerbound=1178353.379457, norm of subgrad 39.839134	 stepsize= 1.000000 
-dualbound = 2680409.398726, lowerbound=1177596.398726, norm of subgrad 1085.858830	dualbound = 2680409.398726, lowerbound=1177596.398726, norm of subgrad 40.718783	 stepsize= 1.000000 
-dualbound = 2680547.931677, lowerbound=1180854.931677, norm of subgrad 1087.354557	dualbound = 2680547.931677, lowerbound=1180854.931677, norm of subgrad 40.293088	 stepsize= 1.000000 
-dualbound = 2680743.580070, lowerbound=1182331.580070, norm of subgrad 1088.006241	dualbound = 2680743.580070, lowerbound=1182331.580070, norm of subgrad 40.269696	 stepsize= 1.000000 
-dualbound = 2680900.620532, lowerbound=1179089.620532, norm of subgrad 1086.524560	dualbound = 2680900.620532, lowerbound=1179089.620532, norm of subgrad 40.037988	 stepsize= 1.000000 
-dualbound = 2681105.341854, lowerbound=1183017.341854, norm of subgrad 1088.305261	dualbound = 2681105.341854, lowerbound=1183017.341854, norm of subgrad 39.946481	 stepsize= 1.000000 
-dualbound = 2681229.367650, lowerbound=1179313.367650, norm of subgrad 1086.622459	dualbound = 2681229.367650, lowerbound=1179313.367650, norm of subgrad 39.484501	 stepsize= 1.000000 
-dualbound = 2681422.625350, lowerbound=1177447.625350, norm of subgrad 1085.755325	dualbound = 2681422.625350, lowerbound=1177447.625350, norm of subgrad 40.128016	 stepsize= 1.000000 
-dualbound = 2681548.201164, lowerbound=1179130.201164, norm of subgrad 1086.519766	dualbound = 2681548.201164, lowerbound=1179130.201164, norm of subgrad 38.994561	 stepsize= 1.000000 
-dualbound = 2681761.118694, lowerbound=1180280.118694, norm of subgrad 1087.063990	dualbound = 2681761.118694, lowerbound=1180280.118694, norm of subgrad 40.508240	 stepsize= 1.000000 
-dualbound = 2681866.594807, lowerbound=1178216.594807, norm of subgrad 1086.140688	dualbound = 2681866.594807, lowerbound=1178216.594807, norm of subgrad 39.880774	 stepsize= 1.000000 
-dualbound = 2682047.032864, lowerbound=1183525.032864, norm of subgrad 1088.585336	dualbound = 2682047.032864, lowerbound=1183525.032864, norm of subgrad 40.907677	 stepsize= 1.000000 
-dualbound = 2682217.190292, lowerbound=1178836.190292, norm of subgrad 1086.423578	dualbound = 2682217.190292, lowerbound=1178836.190292, norm of subgrad 40.622130	 stepsize= 1.000000 
-dualbound = 2682383.793870, lowerbound=1180626.793870, norm of subgrad 1087.215155	dualbound = 2682383.793870, lowerbound=1180626.793870, norm of subgrad 39.706468	 stepsize= 1.000000 
-dualbound = 2682569.882832, lowerbound=1178561.882832, norm of subgrad 1086.277075	dualbound = 2682569.882832, lowerbound=1178561.882832, norm of subgrad 40.275166	 stepsize= 1.000000 
-dualbound = 2682733.070960, lowerbound=1180240.070960, norm of subgrad 1087.025331	dualbound = 2682733.070960, lowerbound=1180240.070960, norm of subgrad 39.334312	 stepsize= 1.000000 
-dualbound = 2682893.682056, lowerbound=1180308.682056, norm of subgrad 1087.073448	dualbound = 2682893.682056, lowerbound=1180308.682056, norm of subgrad 39.756900	 stepsize= 1.000000 
-dualbound = 2683036.270762, lowerbound=1182289.270762, norm of subgrad 1087.989095	dualbound = 2683036.270762, lowerbound=1182289.270762, norm of subgrad 39.668485	 stepsize= 1.000000 
-dualbound = 2683187.106538, lowerbound=1180993.106538, norm of subgrad 1087.399700	dualbound = 2683187.106538, lowerbound=1180993.106538, norm of subgrad 39.947913	 stepsize= 1.000000 
-dualbound = 2683373.734419, lowerbound=1181870.734419, norm of subgrad 1087.832586	dualbound = 2683373.734419, lowerbound=1181870.734419, norm of subgrad 41.178002	 stepsize= 1.000000 
-dualbound = 2683515.380770, lowerbound=1177444.380770, norm of subgrad 1085.761659	dualbound = 2683515.380770, lowerbound=1177444.380770, norm of subgrad 39.694412	 stepsize= 1.000000 
-dualbound = 2683708.201340, lowerbound=1184859.201340, norm of subgrad 1089.140120	dualbound = 2683708.201340, lowerbound=1184859.201340, norm of subgrad 39.494564	 stepsize= 1.000000 
-dualbound = 2683870.442593, lowerbound=1174973.442593, norm of subgrad 1084.618570	dualbound = 2683870.442593, lowerbound=1174973.442593, norm of subgrad 39.827644	 stepsize= 1.000000 
-dualbound = 2684009.408550, lowerbound=1184885.408550, norm of subgrad 1089.204025	dualbound = 2684009.408550, lowerbound=1184885.408550, norm of subgrad 40.236376	 stepsize= 1.000000 
-dualbound = 2684180.053762, lowerbound=1178300.053762, norm of subgrad 1086.193838	dualbound = 2684180.053762, lowerbound=1178300.053762, norm of subgrad 41.080959	 stepsize= 1.000000 
-dualbound = 2684328.068094, lowerbound=1181467.068094, norm of subgrad 1087.620829	dualbound = 2684328.068094, lowerbound=1181467.068094, norm of subgrad 40.000179	 stepsize= 1.000000 
-dualbound = 2684498.560324, lowerbound=1178135.560324, norm of subgrad 1086.078524	dualbound = 2684498.560324, lowerbound=1178135.560324, norm of subgrad 40.018649	 stepsize= 1.000000 
-dualbound = 2684698.975443, lowerbound=1178257.975443, norm of subgrad 1086.129815	dualbound = 2684698.975443, lowerbound=1178257.975443, norm of subgrad 40.254380	 stepsize= 1.000000 
-dualbound = 2684838.919298, lowerbound=1179624.919298, norm of subgrad 1086.765807	dualbound = 2684838.919298, lowerbound=1179624.919298, norm of subgrad 39.685562	 stepsize= 1.000000 
-dualbound = 2684980.891377, lowerbound=1183160.891377, norm of subgrad 1088.412556	dualbound = 2684980.891377, lowerbound=1183160.891377, norm of subgrad 40.286128	 stepsize= 1.000000 
-dualbound = 2685171.600731, lowerbound=1182803.600731, norm of subgrad 1088.225437	dualbound = 2685171.600731, lowerbound=1182803.600731, norm of subgrad 40.270453	 stepsize= 1.000000 
-dualbound = 2685339.243219, lowerbound=1178261.243219, norm of subgrad 1086.098174	dualbound = 2685339.243219, lowerbound=1178261.243219, norm of subgrad 38.931253	 stepsize= 1.000000 
-dualbound = 2685527.677585, lowerbound=1176502.677585, norm of subgrad 1085.294282	dualbound = 2685527.677585, lowerbound=1176502.677585, norm of subgrad 39.362855	 stepsize= 1.000000 
-dualbound = 2685671.441351, lowerbound=1179491.441351, norm of subgrad 1086.694272	dualbound = 2685671.441351, lowerbound=1179491.441351, norm of subgrad 39.455846	 stepsize= 1.000000 
-dualbound = 2685818.557788, lowerbound=1184503.557788, norm of subgrad 1089.021835	dualbound = 2685818.557788, lowerbound=1184503.557788, norm of subgrad 40.151170	 stepsize= 1.000000 
-dualbound = 2685976.366973, lowerbound=1183346.366973, norm of subgrad 1088.483058	dualbound = 2685976.366973, lowerbound=1183346.366973, norm of subgrad 40.085024	 stepsize= 1.000000 
-dualbound = 2686148.550505, lowerbound=1179321.550505, norm of subgrad 1086.624843	dualbound = 2686148.550505, lowerbound=1179321.550505, norm of subgrad 40.052260	 stepsize= 1.000000 
-dualbound = 2686303.378394, lowerbound=1181832.378394, norm of subgrad 1087.796570	dualbound = 2686303.378394, lowerbound=1181832.378394, norm of subgrad 40.296748	 stepsize= 1.000000 
-dualbound = 2686436.696452, lowerbound=1178653.696452, norm of subgrad 1086.337745	dualbound = 2686436.696452, lowerbound=1178653.696452, norm of subgrad 40.116307	 stepsize= 1.000000 
-dualbound = 2686633.598418, lowerbound=1179449.598418, norm of subgrad 1086.698025	dualbound = 2686633.598418, lowerbound=1179449.598418, norm of subgrad 40.741894	 stepsize= 1.000000 
-dualbound = 2686793.239018, lowerbound=1182337.239018, norm of subgrad 1088.021249	dualbound = 2686793.239018, lowerbound=1182337.239018, norm of subgrad 40.157697	 stepsize= 1.000000 
-dualbound = 2686958.417687, lowerbound=1182036.417687, norm of subgrad 1087.879321	dualbound = 2686958.417687, lowerbound=1182036.417687, norm of subgrad 40.127032	 stepsize= 1.000000 
-dualbound = 2687130.215909, lowerbound=1180204.215909, norm of subgrad 1087.039657	dualbound = 2687130.215909, lowerbound=1180204.215909, norm of subgrad 40.283970	 stepsize= 1.000000 
-dualbound = 2687275.134435, lowerbound=1176330.134435, norm of subgrad 1085.261321	dualbound = 2687275.134435, lowerbound=1176330.134435, norm of subgrad 40.086388	 stepsize= 1.000000 
-dualbound = 2687470.671376, lowerbound=1178995.671376, norm of subgrad 1086.489149	dualbound = 2687470.671376, lowerbound=1178995.671376, norm of subgrad 40.725139	 stepsize= 1.000000 
-dualbound = 2687595.132269, lowerbound=1178490.132269, norm of subgrad 1086.267523	dualbound = 2687595.132269, lowerbound=1178490.132269, norm of subgrad 40.143006	 stepsize= 1.000000 
-dualbound = 2687768.868608, lowerbound=1178800.868608, norm of subgrad 1086.403640	dualbound = 2687768.868608, lowerbound=1178800.868608, norm of subgrad 40.567676	 stepsize= 1.000000 
-dualbound = 2687944.268993, lowerbound=1183393.268993, norm of subgrad 1088.503684	dualbound = 2687944.268993, lowerbound=1183393.268993, norm of subgrad 40.279032	 stepsize= 1.000000 
-dualbound = 2688086.759831, lowerbound=1181701.759831, norm of subgrad 1087.744345	dualbound = 2688086.759831, lowerbound=1181701.759831, norm of subgrad 40.354564	 stepsize= 1.000000 
-dualbound = 2688271.806982, lowerbound=1177031.806982, norm of subgrad 1085.568886	dualbound = 2688271.806982, lowerbound=1177031.806982, norm of subgrad 40.162758	 stepsize= 1.000000 
-dualbound = 2688450.470441, lowerbound=1180697.470441, norm of subgrad 1087.248118	dualbound = 2688450.470441, lowerbound=1180697.470441, norm of subgrad 39.870584	 stepsize= 1.000000 
-dualbound = 2688623.695041, lowerbound=1177753.695041, norm of subgrad 1085.887054	dualbound = 2688623.695041, lowerbound=1177753.695041, norm of subgrad 39.626060	 stepsize= 1.000000 
-dualbound = 2688775.709480, lowerbound=1182601.709480, norm of subgrad 1088.151051	dualbound = 2688775.709480, lowerbound=1182601.709480, norm of subgrad 40.286653	 stepsize= 1.000000 
-dualbound = 2688932.741263, lowerbound=1181551.741263, norm of subgrad 1087.681820	dualbound = 2688932.741263, lowerbound=1181551.741263, norm of subgrad 40.706655	 stepsize= 1.000000 
-dualbound = 2689080.519070, lowerbound=1179412.519070, norm of subgrad 1086.646916	dualbound = 2689080.519070, lowerbound=1179412.519070, norm of subgrad 39.201758	 stepsize= 1.000000 
-dualbound = 2689286.193132, lowerbound=1176637.193132, norm of subgrad 1085.385735	dualbound = 2689286.193132, lowerbound=1176637.193132, norm of subgrad 40.381605	 stepsize= 1.000000 
-dualbound = 2689407.209938, lowerbound=1179489.209938, norm of subgrad 1086.724073	dualbound = 2689407.209938, lowerbound=1179489.209938, norm of subgrad 40.012708	 stepsize= 1.000000 
-dualbound = 2689571.624547, lowerbound=1186663.624547, norm of subgrad 1090.031937	dualbound = 2689571.624547, lowerbound=1186663.624547, norm of subgrad 40.870706	 stepsize= 1.000000 
-dualbound = 2689725.190291, lowerbound=1178802.190291, norm of subgrad 1086.412072	dualbound = 2689725.190291, lowerbound=1178802.190291, norm of subgrad 40.528579	 stepsize= 1.000000 
-dualbound = 2689887.710264, lowerbound=1180490.710264, norm of subgrad 1087.172806	dualbound = 2689887.710264, lowerbound=1180490.710264, norm of subgrad 40.205969	 stepsize= 1.000000 
-dualbound = 2690101.247276, lowerbound=1180732.247276, norm of subgrad 1087.259053	dualbound = 2690101.247276, lowerbound=1180732.247276, norm of subgrad 40.168856	 stepsize= 1.000000 
-dualbound = 2690235.918681, lowerbound=1180678.918681, norm of subgrad 1087.279595	dualbound = 2690235.918681, lowerbound=1180678.918681, norm of subgrad 40.406329	 stepsize= 1.000000 
-dualbound = 2690380.090788, lowerbound=1181600.090788, norm of subgrad 1087.712780	dualbound = 2690380.090788, lowerbound=1181600.090788, norm of subgrad 40.782007	 stepsize= 1.000000 
-dualbound = 2690574.114960, lowerbound=1178602.114960, norm of subgrad 1086.326891	dualbound = 2690574.114960, lowerbound=1178602.114960, norm of subgrad 41.207089	 stepsize= 1.000000 
-dualbound = 2690724.525795, lowerbound=1181474.525795, norm of subgrad 1087.600352	dualbound = 2690724.525795, lowerbound=1181474.525795, norm of subgrad 39.375257	 stepsize= 1.000000 
-dualbound = 2690927.747646, lowerbound=1181702.747646, norm of subgrad 1087.736065	dualbound = 2690927.747646, lowerbound=1181702.747646, norm of subgrad 40.868348	 stepsize= 1.000000 
-dualbound = 2691059.179117, lowerbound=1179795.179117, norm of subgrad 1086.846438	dualbound = 2691059.179117, lowerbound=1179795.179117, norm of subgrad 39.641285	 stepsize= 1.000000 
-dualbound = 2691243.450134, lowerbound=1179527.450134, norm of subgrad 1086.702558	dualbound = 2691243.450134, lowerbound=1179527.450134, norm of subgrad 39.740043	 stepsize= 1.000000 
-dualbound = 2691401.988192, lowerbound=1179638.988192, norm of subgrad 1086.761238	dualbound = 2691401.988192, lowerbound=1179638.988192, norm of subgrad 39.617396	 stepsize= 1.000000 
-dualbound = 2691551.169767, lowerbound=1176580.169767, norm of subgrad 1085.392634	dualbound = 2691551.169767, lowerbound=1176580.169767, norm of subgrad 40.573163	 stepsize= 1.000000 
-dualbound = 2691711.120940, lowerbound=1181388.120940, norm of subgrad 1087.570743	dualbound = 2691711.120940, lowerbound=1181388.120940, norm of subgrad 39.773750	 stepsize= 1.000000 
-dualbound = 2691895.023580, lowerbound=1182566.023580, norm of subgrad 1088.074916	dualbound = 2691895.023580, lowerbound=1182566.023580, norm of subgrad 39.050002	 stepsize= 1.000000 
-dualbound = 2692076.924065, lowerbound=1179303.924065, norm of subgrad 1086.600168	dualbound = 2692076.924065, lowerbound=1179303.924065, norm of subgrad 39.722796	 stepsize= 1.000000 
-dualbound = 2692201.176250, lowerbound=1186132.176250, norm of subgrad 1089.791804	dualbound = 2692201.176250, lowerbound=1186132.176250, norm of subgrad 40.475328	 stepsize= 1.000000 
-dualbound = 2692334.813224, lowerbound=1178050.813224, norm of subgrad 1086.078640	dualbound = 2692334.813224, lowerbound=1178050.813224, norm of subgrad 40.615723	 stepsize= 1.000000 
-dualbound = 2692544.737817, lowerbound=1181657.737817, norm of subgrad 1087.682278	dualbound = 2692544.737817, lowerbound=1181657.737817, norm of subgrad 40.061510	 stepsize= 1.000000 
-dualbound = 2692695.300263, lowerbound=1177287.300263, norm of subgrad 1085.695307	dualbound = 2692695.300263, lowerbound=1177287.300263, norm of subgrad 39.969519	 stepsize= 1.000000 
-dualbound = 2692863.087272, lowerbound=1186172.087272, norm of subgrad 1089.766988	dualbound = 2692863.087272, lowerbound=1186172.087272, norm of subgrad 39.847045	 stepsize= 1.000000 
-dualbound = 2693025.557863, lowerbound=1180493.557863, norm of subgrad 1087.173656	dualbound = 2693025.557863, lowerbound=1180493.557863, norm of subgrad 40.192917	 stepsize= 1.000000 
-dualbound = 2693187.642818, lowerbound=1180668.642818, norm of subgrad 1087.229342	dualbound = 2693187.642818, lowerbound=1180668.642818, norm of subgrad 39.510568	 stepsize= 1.000000 
-dualbound = 2693358.580730, lowerbound=1178220.580730, norm of subgrad 1086.097408	dualbound = 2693358.580730, lowerbound=1178220.580730, norm of subgrad 39.470722	 stepsize= 1.000000 
-dualbound = 2693533.110559, lowerbound=1179522.110559, norm of subgrad 1086.709764	dualbound = 2693533.110559, lowerbound=1179522.110559, norm of subgrad 39.881447	 stepsize= 1.000000 
-dualbound = 2693663.935688, lowerbound=1182534.935688, norm of subgrad 1088.096014	dualbound = 2693663.935688, lowerbound=1182534.935688, norm of subgrad 39.355116	 stepsize= 1.000000 
-dualbound = 2693852.917490, lowerbound=1184790.917490, norm of subgrad 1089.126217	dualbound = 2693852.917490, lowerbound=1184790.917490, norm of subgrad 39.924702	 stepsize= 1.000000 
-dualbound = 2693984.877608, lowerbound=1178435.877608, norm of subgrad 1086.233344	dualbound = 2693984.877608, lowerbound=1178435.877608, norm of subgrad 39.986999	 stepsize= 1.000000 
-dualbound = 2694166.475414, lowerbound=1179243.475414, norm of subgrad 1086.581555	dualbound = 2694166.475414, lowerbound=1179243.475414, norm of subgrad 39.969961	 stepsize= 1.000000 
-dualbound = 2694339.526557, lowerbound=1179444.526557, norm of subgrad 1086.661183	dualbound = 2694339.526557, lowerbound=1179444.526557, norm of subgrad 39.510140	 stepsize= 1.000000 
-dualbound = 2694507.094545, lowerbound=1185081.094545, norm of subgrad 1089.279622	dualbound = 2694507.094545, lowerbound=1185081.094545, norm of subgrad 40.206566	 stepsize= 1.000000 
-dualbound = 2694649.165130, lowerbound=1182678.165130, norm of subgrad 1088.186181	dualbound = 2694649.165130, lowerbound=1182678.165130, norm of subgrad 40.163050	 stepsize= 1.000000 
-dualbound = 2694795.747153, lowerbound=1180545.747153, norm of subgrad 1087.221572	dualbound = 2694795.747153, lowerbound=1180545.747153, norm of subgrad 40.639661	 stepsize= 1.000000 
-dualbound = 2694973.832129, lowerbound=1177683.832129, norm of subgrad 1085.910140	dualbound = 2694973.832129, lowerbound=1177683.832129, norm of subgrad 41.171410	 stepsize= 1.000000 
-dualbound = 2695112.612859, lowerbound=1180507.612859, norm of subgrad 1087.195297	dualbound = 2695112.612859, lowerbound=1180507.612859, norm of subgrad 40.308569	 stepsize= 1.000000 
-dualbound = 2695293.592074, lowerbound=1179414.592074, norm of subgrad 1086.678238	dualbound = 2695293.592074, lowerbound=1179414.592074, norm of subgrad 40.447240	 stepsize= 1.000000 
-dualbound = 2695483.740392, lowerbound=1177168.740392, norm of subgrad 1085.652679	dualbound = 2695483.740392, lowerbound=1177168.740392, norm of subgrad 40.781715	 stepsize= 1.000000 
-dualbound = 2695619.015734, lowerbound=1182144.015734, norm of subgrad 1087.921879	dualbound = 2695619.015734, lowerbound=1182144.015734, norm of subgrad 39.563561	 stepsize= 1.000000 
-dualbound = 2695808.613332, lowerbound=1178938.613332, norm of subgrad 1086.422852	dualbound = 2695808.613332, lowerbound=1178938.613332, norm of subgrad 39.567633	 stepsize= 1.000000 
-dualbound = 2695963.556170, lowerbound=1179265.556170, norm of subgrad 1086.590335	dualbound = 2695963.556170, lowerbound=1179265.556170, norm of subgrad 39.597258	 stepsize= 1.000000 
-dualbound = 2696139.396771, lowerbound=1176632.396771, norm of subgrad 1085.369705	dualbound = 2696139.396771, lowerbound=1176632.396771, norm of subgrad 39.633832	 stepsize= 1.000000 
-dualbound = 2696300.549045, lowerbound=1185789.549045, norm of subgrad 1089.595590	dualbound = 2696300.549045, lowerbound=1185789.549045, norm of subgrad 39.876713	 stepsize= 1.000000 
-dualbound = 2696439.808359, lowerbound=1183874.808359, norm of subgrad 1088.717047	dualbound = 2696439.808359, lowerbound=1183874.808359, norm of subgrad 39.613878	 stepsize= 1.000000 
-dualbound = 2696635.023382, lowerbound=1182371.023382, norm of subgrad 1088.032639	dualbound = 2696635.023382, lowerbound=1182371.023382, norm of subgrad 40.487220	 stepsize= 1.000000 
-dualbound = 2696774.746972, lowerbound=1184592.746972, norm of subgrad 1089.035237	dualbound = 2696774.746972, lowerbound=1184592.746972, norm of subgrad 39.302972	 stepsize= 1.000000 
-dualbound = 2696940.337508, lowerbound=1178810.337508, norm of subgrad 1086.435611	dualbound = 2696940.337508, lowerbound=1178810.337508, norm of subgrad 41.201827	 stepsize= 1.000000 
-dualbound = 2697076.836365, lowerbound=1177764.836365, norm of subgrad 1085.914286	dualbound = 2697076.836365, lowerbound=1177764.836365, norm of subgrad 39.768063	 stepsize= 1.000000 
-dualbound = 2697287.543926, lowerbound=1184311.543926, norm of subgrad 1088.943315	dualbound = 2697287.543926, lowerbound=1184311.543926, norm of subgrad 41.191110	 stepsize= 1.000000 
-dualbound = 2697432.211548, lowerbound=1180630.211548, norm of subgrad 1087.255357	dualbound = 2697432.211548, lowerbound=1180630.211548, norm of subgrad 40.480460	 stepsize= 1.000000 
-dualbound = 2697575.148789, lowerbound=1179139.148789, norm of subgrad 1086.561157	dualbound = 2697575.148789, lowerbound=1179139.148789, norm of subgrad 40.236019	 stepsize= 1.000000 
-dualbound = 2697765.758364, lowerbound=1181362.758364, norm of subgrad 1087.554025	dualbound = 2697765.758364, lowerbound=1181362.758364, norm of subgrad 40.020115	 stepsize= 1.000000 
-dualbound = 2697933.029291, lowerbound=1180508.029291, norm of subgrad 1087.161455	dualbound = 2697933.029291, lowerbound=1180508.029291, norm of subgrad 39.740042	 stepsize= 1.000000 
-dualbound = 2698086.141642, lowerbound=1182192.141642, norm of subgrad 1087.957785	dualbound = 2698086.141642, lowerbound=1182192.141642, norm of subgrad 40.163570	 stepsize= 1.000000 
-dualbound = 2698235.571957, lowerbound=1181136.571957, norm of subgrad 1087.456469	dualbound = 2698235.571957, lowerbound=1181136.571957, norm of subgrad 39.679092	 stepsize= 1.000000 
-dualbound = 2698438.227153, lowerbound=1177785.227153, norm of subgrad 1085.901573	dualbound = 2698438.227153, lowerbound=1177785.227153, norm of subgrad 39.995690	 stepsize= 1.000000 
-dualbound = 2698577.440859, lowerbound=1180874.440859, norm of subgrad 1087.347893	dualbound = 2698577.440859, lowerbound=1180874.440859, norm of subgrad 39.877484	 stepsize= 1.000000 
-dualbound = 2698735.809854, lowerbound=1180662.809854, norm of subgrad 1087.271268	dualbound = 2698735.809854, lowerbound=1180662.809854, norm of subgrad 40.673935	 stepsize= 1.000000 
-dualbound = 2698904.691160, lowerbound=1181256.691160, norm of subgrad 1087.497444	dualbound = 2698904.691160, lowerbound=1181256.691160, norm of subgrad 39.533294	 stepsize= 1.000000 
-dualbound = 2699078.586403, lowerbound=1182768.586403, norm of subgrad 1088.211186	dualbound = 2699078.586403, lowerbound=1182768.586403, norm of subgrad 40.111036	 stepsize= 1.000000 
-dualbound = 2699241.814465, lowerbound=1184060.814465, norm of subgrad 1088.795121	dualbound = 2699241.814465, lowerbound=1184060.814465, norm of subgrad 39.714331	 stepsize= 1.000000 
-dualbound = 2699389.264202, lowerbound=1181015.264202, norm of subgrad 1087.424602	dualbound = 2699389.264202, lowerbound=1181015.264202, norm of subgrad 40.304463	 stepsize= 1.000000 
-dualbound = 2699536.579687, lowerbound=1182951.579687, norm of subgrad 1088.277345	dualbound = 2699536.579687, lowerbound=1182951.579687, norm of subgrad 39.285054	 stepsize= 1.000000 
-dualbound = 2699716.785101, lowerbound=1176076.785101, norm of subgrad 1085.128004	dualbound = 2699716.785101, lowerbound=1176076.785101, norm of subgrad 40.077493	 stepsize= 1.000000 
-dualbound = 2699901.167666, lowerbound=1181162.167666, norm of subgrad 1087.458582	dualbound = 2699901.167666, lowerbound=1181162.167666, norm of subgrad 39.854517	 stepsize= 1.000000 
-dualbound = 2700061.231074, lowerbound=1179284.231074, norm of subgrad 1086.606291	dualbound = 2700061.231074, lowerbound=1179284.231074, norm of subgrad 39.863058	 stepsize= 1.000000 
-dualbound = 2700208.695773, lowerbound=1179665.695773, norm of subgrad 1086.796069	dualbound = 2700208.695773, lowerbound=1179665.695773, norm of subgrad 40.093200	 stepsize= 1.000000 
-dualbound = 2700375.039704, lowerbound=1182695.039704, norm of subgrad 1088.167285	dualbound = 2700375.039704, lowerbound=1182695.039704, norm of subgrad 39.740960	 stepsize= 1.000000 
-dualbound = 2700532.404497, lowerbound=1185614.404497, norm of subgrad 1089.531736	dualbound = 2700532.404497, lowerbound=1185614.404497, norm of subgrad 40.278590	 stepsize= 1.000000 
-dualbound = 2700678.812780, lowerbound=1182557.812780, norm of subgrad 1088.165343	dualbound = 2700678.812780, lowerbound=1182557.812780, norm of subgrad 41.138890	 stepsize= 1.000000 
-dualbound = 2700823.930635, lowerbound=1182917.930635, norm of subgrad 1088.305991	dualbound = 2700823.930635, lowerbound=1182917.930635, norm of subgrad 40.461313	 stepsize= 1.000000 
-dualbound = 2701011.067996, lowerbound=1179544.067996, norm of subgrad 1086.725388	dualbound = 2701011.067996, lowerbound=1179544.067996, norm of subgrad 40.188772	 stepsize= 1.000000 
-dualbound = 2701196.509837, lowerbound=1181811.509837, norm of subgrad 1087.747448	dualbound = 2701196.509837, lowerbound=1181811.509837, norm of subgrad 39.603558	 stepsize= 1.000000 
-dualbound = 2701352.664302, lowerbound=1180431.664302, norm of subgrad 1087.155308	dualbound = 2701352.664302, lowerbound=1180431.664302, norm of subgrad 40.387553	 stepsize= 1.000000 
-dualbound = 2701520.745107, lowerbound=1181814.745107, norm of subgrad 1087.767781	dualbound = 2701520.745107, lowerbound=1181814.745107, norm of subgrad 39.900887	 stepsize= 1.000000 
-dualbound = 2701685.760679, lowerbound=1180649.760679, norm of subgrad 1087.199044	dualbound = 2701685.760679, lowerbound=1180649.760679, norm of subgrad 38.948884	 stepsize= 1.000000 
-dualbound = 2701862.262174, lowerbound=1181934.262174, norm of subgrad 1087.813524	dualbound = 2701862.262174, lowerbound=1181934.262174, norm of subgrad 39.755522	 stepsize= 1.000000 
-dualbound = 2701999.865352, lowerbound=1178233.865352, norm of subgrad 1086.152321	dualbound = 2701999.865352, lowerbound=1178233.865352, norm of subgrad 40.380728	 stepsize= 1.000000 
-dualbound = 2702156.745925, lowerbound=1178224.745925, norm of subgrad 1086.103930	dualbound = 2702156.745925, lowerbound=1178224.745925, norm of subgrad 39.419292	 stepsize= 1.000000 
-dualbound = 2702369.163329, lowerbound=1179234.163329, norm of subgrad 1086.560704	dualbound = 2702369.163329, lowerbound=1179234.163329, norm of subgrad 39.905105	 stepsize= 1.000000 
-dualbound = 2702504.642499, lowerbound=1186537.642499, norm of subgrad 1089.972771	dualbound = 2702504.642499, lowerbound=1186537.642499, norm of subgrad 40.478132	 stepsize= 1.000000 
-dualbound = 2702639.201258, lowerbound=1179294.201258, norm of subgrad 1086.651371	dualbound = 2702639.201258, lowerbound=1179294.201258, norm of subgrad 40.639375	 stepsize= 1.000000 
-dualbound = 2702820.919514, lowerbound=1183069.919514, norm of subgrad 1088.350550	dualbound = 2702820.919514, lowerbound=1183069.919514, norm of subgrad 40.233298	 stepsize= 1.000000 
-dualbound = 2702986.831810, lowerbound=1179817.831810, norm of subgrad 1086.848578	dualbound = 2702986.831810, lowerbound=1179817.831810, norm of subgrad 39.848617	 stepsize= 1.000000 
-dualbound = 2703171.359391, lowerbound=1182067.359391, norm of subgrad 1087.886648	dualbound = 2703171.359391, lowerbound=1182067.359391, norm of subgrad 40.181184	 stepsize= 1.000000 
-dualbound = 2703317.414727, lowerbound=1181081.414727, norm of subgrad 1087.455937	dualbound = 2703317.414727, lowerbound=1181081.414727, norm of subgrad 40.311975	 stepsize= 1.000000 
-dualbound = 2703472.180633, lowerbound=1181399.180633, norm of subgrad 1087.573989	dualbound = 2703472.180633, lowerbound=1181399.180633, norm of subgrad 39.658113	 stepsize= 1.000000 
-dualbound = 2703656.621294, lowerbound=1181706.621294, norm of subgrad 1087.706588	dualbound = 2703656.621294, lowerbound=1181706.621294, norm of subgrad 39.792470	 stepsize= 1.000000 
-dualbound = 2703807.665287, lowerbound=1183528.665287, norm of subgrad 1088.538316	dualbound = 2703807.665287, lowerbound=1183528.665287, norm of subgrad 39.217904	 stepsize= 1.000000 
-dualbound = 2703974.822945, lowerbound=1181136.822945, norm of subgrad 1087.454285	dualbound = 2703974.822945, lowerbound=1181136.822945, norm of subgrad 39.839147	 stepsize= 1.000000 
-dualbound = 2704115.647289, lowerbound=1184876.647289, norm of subgrad 1089.216070	dualbound = 2704115.647289, lowerbound=1184876.647289, norm of subgrad 40.691822	 stepsize= 1.000000 
-dualbound = 2704278.745763, lowerbound=1179398.745763, norm of subgrad 1086.667726	dualbound = 2704278.745763, lowerbound=1179398.745763, norm of subgrad 40.138491	 stepsize= 1.000000 
-dualbound = 2704442.146167, lowerbound=1178554.146167, norm of subgrad 1086.276275	dualbound = 2704442.146167, lowerbound=1178554.146167, norm of subgrad 40.067448	 stepsize= 1.000000 
-dualbound = 2704606.132250, lowerbound=1178679.132250, norm of subgrad 1086.328740	dualbound = 2704606.132250, lowerbound=1178679.132250, norm of subgrad 39.937277	 stepsize= 1.000000 
-dualbound = 2704809.181921, lowerbound=1180478.181921, norm of subgrad 1087.148188	dualbound = 2704809.181921, lowerbound=1180478.181921, norm of subgrad 40.200120	 stepsize= 1.000000 
-dualbound = 2704956.459941, lowerbound=1183438.459941, norm of subgrad 1088.508824	dualbound = 2704956.459941, lowerbound=1183438.459941, norm of subgrad 39.500355	 stepsize= 1.000000 
-dualbound = 2705126.611927, lowerbound=1180966.611927, norm of subgrad 1087.373722	dualbound = 2705126.611927, lowerbound=1180966.611927, norm of subgrad 39.813967	 stepsize= 1.000000 
-dualbound = 2705277.865092, lowerbound=1179440.865092, norm of subgrad 1086.707810	dualbound = 2705277.865092, lowerbound=1179440.865092, norm of subgrad 40.549392	 stepsize= 1.000000 
-dualbound = 2705416.258885, lowerbound=1186313.258885, norm of subgrad 1089.851026	dualbound = 2705416.258885, lowerbound=1186313.258885, norm of subgrad 40.004922	 stepsize= 1.000000 
-dualbound = 2705603.193288, lowerbound=1182895.193288, norm of subgrad 1088.255574	dualbound = 2705603.193288, lowerbound=1182895.193288, norm of subgrad 39.899053	 stepsize= 1.000000 
-dualbound = 2705780.072445, lowerbound=1181803.072445, norm of subgrad 1087.762415	dualbound = 2705780.072445, lowerbound=1181803.072445, norm of subgrad 40.010988	 stepsize= 1.000000 
-dualbound = 2705919.639605, lowerbound=1179519.639605, norm of subgrad 1086.724270	dualbound = 2705919.639605, lowerbound=1179519.639605, norm of subgrad 39.869376	 stepsize= 1.000000 
-dualbound = 2706083.690126, lowerbound=1183619.690126, norm of subgrad 1088.611818	dualbound = 2706083.690126, lowerbound=1183619.690126, norm of subgrad 40.249851	 stepsize= 1.000000 
-dualbound = 2706259.938759, lowerbound=1180172.938759, norm of subgrad 1087.012391	dualbound = 2706259.938759, lowerbound=1180172.938759, norm of subgrad 39.990607	 stepsize= 1.000000 
-dualbound = 2706416.734944, lowerbound=1181447.734944, norm of subgrad 1087.579760	dualbound = 2706416.734944, lowerbound=1181447.734944, norm of subgrad 39.227493	 stepsize= 1.000000 
-dualbound = 2706587.454905, lowerbound=1182696.454905, norm of subgrad 1088.179882	dualbound = 2706587.454905, lowerbound=1182696.454905, norm of subgrad 40.121316	 stepsize= 1.000000 
-dualbound = 2706744.287350, lowerbound=1181784.287350, norm of subgrad 1087.745966	dualbound = 2706744.287350, lowerbound=1181784.287350, norm of subgrad 39.545321	 stepsize= 1.000000 
-dualbound = 2706911.551460, lowerbound=1180654.551460, norm of subgrad 1087.221022	dualbound = 2706911.551460, lowerbound=1180654.551460, norm of subgrad 39.525487	 stepsize= 1.000000 
-dualbound = 2707051.609414, lowerbound=1183798.609414, norm of subgrad 1088.715119	dualbound = 2707051.609414, lowerbound=1183798.609414, norm of subgrad 40.522314	 stepsize= 1.000000 
-dualbound = 2707219.193561, lowerbound=1177993.193561, norm of subgrad 1086.025871	dualbound = 2707219.193561, lowerbound=1177993.193561, norm of subgrad 40.330933	 stepsize= 1.000000 
-dualbound = 2707384.062541, lowerbound=1183320.062541, norm of subgrad 1088.465462	dualbound = 2707384.062541, lowerbound=1183320.062541, norm of subgrad 40.023355	 stepsize= 1.000000 
-dualbound = 2707543.771101, lowerbound=1180770.771101, norm of subgrad 1087.312177	dualbound = 2707543.771101, lowerbound=1180770.771101, norm of subgrad 40.456255	 stepsize= 1.000000 
-dualbound = 2707695.774378, lowerbound=1182024.774378, norm of subgrad 1087.875808	dualbound = 2707695.774378, lowerbound=1182024.774378, norm of subgrad 40.012539	 stepsize= 1.000000 
-dualbound = 2707893.429827, lowerbound=1181058.429827, norm of subgrad 1087.415941	dualbound = 2707893.429827, lowerbound=1181058.429827, norm of subgrad 40.157882	 stepsize= 1.000000 
-dualbound = 2708045.320197, lowerbound=1177197.320197, norm of subgrad 1085.652025	dualbound = 2708045.320197, lowerbound=1177197.320197, norm of subgrad 39.936079	 stepsize= 1.000000 
-dualbound = 2708217.488943, lowerbound=1188206.488943, norm of subgrad 1090.710085	dualbound = 2708217.488943, lowerbound=1188206.488943, norm of subgrad 40.176719	 stepsize= 1.000000 
-dualbound = 2708360.995695, lowerbound=1179665.995695, norm of subgrad 1086.780105	dualbound = 2708360.995695, lowerbound=1179665.995695, norm of subgrad 39.604378	 stepsize= 1.000000 
-dualbound = 2708542.391472, lowerbound=1181761.391472, norm of subgrad 1087.750151	dualbound = 2708542.391472, lowerbound=1181761.391472, norm of subgrad 40.254140	 stepsize= 1.000000 
-dualbound = 2708699.136480, lowerbound=1180802.136480, norm of subgrad 1087.308667	dualbound = 2708699.136480, lowerbound=1180802.136480, norm of subgrad 39.934259	 stepsize= 1.000000 
-dualbound = 2708851.746246, lowerbound=1181674.746246, norm of subgrad 1087.719976	dualbound = 2708851.746246, lowerbound=1181674.746246, norm of subgrad 40.157313	 stepsize= 1.000000 
-dualbound = 2709024.841769, lowerbound=1179997.841769, norm of subgrad 1086.948408	dualbound = 2709024.841769, lowerbound=1179997.841769, norm of subgrad 40.399202	 stepsize= 1.000000 
-dualbound = 2709181.225262, lowerbound=1182228.225262, norm of subgrad 1087.975287	dualbound = 2709181.225262, lowerbound=1182228.225262, norm of subgrad 40.229137	 stepsize= 1.000000 
-dualbound = 2709346.939017, lowerbound=1186757.939017, norm of subgrad 1090.059145	dualbound = 2709346.939017, lowerbound=1186757.939017, norm of subgrad 40.456319	 stepsize= 1.000000 
-dualbound = 2709505.632446, lowerbound=1183331.632446, norm of subgrad 1088.471236	dualbound = 2709505.632446, lowerbound=1183331.632446, norm of subgrad 39.958646	 stepsize= 1.000000 
-dualbound = 2709663.041146, lowerbound=1178932.041146, norm of subgrad 1086.460327	dualbound = 2709663.041146, lowerbound=1178932.041146, norm of subgrad 40.266720	 stepsize= 1.000000 
-dualbound = 2709828.173931, lowerbound=1181948.173931, norm of subgrad 1087.853471	dualbound = 2709828.173931, lowerbound=1181948.173931, norm of subgrad 40.523238	 stepsize= 1.000000 
-dualbound = 2709975.782536, lowerbound=1180443.782536, norm of subgrad 1087.188016	dualbound = 2709975.782536, lowerbound=1180443.782536, norm of subgrad 41.007421	 stepsize= 1.000000 
-dualbound = 2710169.731915, lowerbound=1182061.731915, norm of subgrad 1087.890956	dualbound = 2710169.731915, lowerbound=1182061.731915, norm of subgrad 40.483940	 stepsize= 1.000000 
-dualbound = 2710297.689599, lowerbound=1178783.689599, norm of subgrad 1086.427489	dualbound = 2710297.689599, lowerbound=1178783.689599, norm of subgrad 40.852879	 stepsize= 1.000000 
-dualbound = 2710475.272570, lowerbound=1184178.272570, norm of subgrad 1088.857324	dualbound = 2710475.272570, lowerbound=1184178.272570, norm of subgrad 40.119608	 stepsize= 1.000000 
-dualbound = 2710665.418058, lowerbound=1185766.418058, norm of subgrad 1089.595530	dualbound = 2710665.418058, lowerbound=1185766.418058, norm of subgrad 40.523394	 stepsize= 1.000000 
-dualbound = 2710805.412390, lowerbound=1182650.412390, norm of subgrad 1088.183538	dualbound = 2710805.412390, lowerbound=1182650.412390, norm of subgrad 40.410325	 stepsize= 1.000000 
-dualbound = 2710977.140813, lowerbound=1182392.140813, norm of subgrad 1088.056129	dualbound = 2710977.140813, lowerbound=1182392.140813, norm of subgrad 40.567578	 stepsize= 1.000000 
-dualbound = 2711129.413794, lowerbound=1180086.413794, norm of subgrad 1086.969371	dualbound = 2711129.413794, lowerbound=1180086.413794, norm of subgrad 39.601426	 stepsize= 1.000000 
-dualbound = 2711309.883465, lowerbound=1179814.883465, norm of subgrad 1086.868844	dualbound = 2711309.883465, lowerbound=1179814.883465, norm of subgrad 40.613664	 stepsize= 1.000000 
-dualbound = 2711442.406270, lowerbound=1182269.406270, norm of subgrad 1087.999727	dualbound = 2711442.406270, lowerbound=1182269.406270, norm of subgrad 40.081452	 stepsize= 1.000000 
-dualbound = 2711642.701673, lowerbound=1183038.701673, norm of subgrad 1088.326560	dualbound = 2711642.701673, lowerbound=1183038.701673, norm of subgrad 40.203177	 stepsize= 1.000000 
-dualbound = 2711792.680309, lowerbound=1180536.680309, norm of subgrad 1087.179231	dualbound = 2711792.680309, lowerbound=1180536.680309, norm of subgrad 39.648186	 stepsize= 1.000000 
-dualbound = 2711949.414747, lowerbound=1183914.414747, norm of subgrad 1088.743043	dualbound = 2711949.414747, lowerbound=1183914.414747, norm of subgrad 40.046653	 stepsize= 1.000000 
-dualbound = 2712125.327963, lowerbound=1179638.327963, norm of subgrad 1086.778877	dualbound = 2712125.327963, lowerbound=1179638.327963, norm of subgrad 40.322614	 stepsize= 1.000000 
-dualbound = 2712261.355773, lowerbound=1180996.355773, norm of subgrad 1087.395676	dualbound = 2712261.355773, lowerbound=1180996.355773, norm of subgrad 39.610956	 stepsize= 1.000000 
-dualbound = 2712456.463127, lowerbound=1180826.463127, norm of subgrad 1087.298240	dualbound = 2712456.463127, lowerbound=1180826.463127, norm of subgrad 39.825963	 stepsize= 1.000000 
-dualbound = 2712591.110965, lowerbound=1183777.110965, norm of subgrad 1088.691467	dualbound = 2712591.110965, lowerbound=1183777.110965, norm of subgrad 40.083012	 stepsize= 1.000000 
-dualbound = 2712755.274655, lowerbound=1182231.274655, norm of subgrad 1087.992314	dualbound = 2712755.274655, lowerbound=1182231.274655, norm of subgrad 40.745106	 stepsize= 1.000000 
-dualbound = 2712908.548422, lowerbound=1182472.548422, norm of subgrad 1088.076536	dualbound = 2712908.548422, lowerbound=1182472.548422, norm of subgrad 39.890773	 stepsize= 1.000000 
-dualbound = 2713096.931621, lowerbound=1182484.931621, norm of subgrad 1088.041328	dualbound = 2713096.931621, lowerbound=1182484.931621, norm of subgrad 39.209478	 stepsize= 1.000000 
-dualbound = 2713251.633535, lowerbound=1184146.633535, norm of subgrad 1088.838204	dualbound = 2713251.633535, lowerbound=1184146.633535, norm of subgrad 39.707706	 stepsize= 1.000000 
-dualbound = 2713418.892695, lowerbound=1180429.892695, norm of subgrad 1087.129658	dualbound = 2713418.892695, lowerbound=1180429.892695, norm of subgrad 39.852969	 stepsize= 1.000000 
-dualbound = 2713566.472114, lowerbound=1179638.472114, norm of subgrad 1086.772502	dualbound = 2713566.472114, lowerbound=1179638.472114, norm of subgrad 39.794213	 stepsize= 1.000000 
-dualbound = 2713733.378218, lowerbound=1179553.378218, norm of subgrad 1086.782121	dualbound = 2713733.378218, lowerbound=1179553.378218, norm of subgrad 41.338918	 stepsize= 1.000000 
-dualbound = 2713850.896008, lowerbound=1184923.896008, norm of subgrad 1089.210676	dualbound = 2713850.896008, lowerbound=1184923.896008, norm of subgrad 39.667591	 stepsize= 1.000000 
-dualbound = 2714063.786930, lowerbound=1183706.786930, norm of subgrad 1088.641257	dualbound = 2714063.786930, lowerbound=1183706.786930, norm of subgrad 40.569581	 stepsize= 1.000000 
-dualbound = 2714227.885311, lowerbound=1186945.885311, norm of subgrad 1090.145809	dualbound = 2714227.885311, lowerbound=1186945.885311, norm of subgrad 40.448713	 stepsize= 1.000000 
-dualbound = 2714361.274060, lowerbound=1180697.274060, norm of subgrad 1087.272401	dualbound = 2714361.274060, lowerbound=1180697.274060, norm of subgrad 39.967346	 stepsize= 1.000000 
-dualbound = 2714530.112734, lowerbound=1184418.112734, norm of subgrad 1088.976176	dualbound = 2714530.112734, lowerbound=1184418.112734, norm of subgrad 40.247219	 stepsize= 1.000000 
-dualbound = 2714701.395720, lowerbound=1180931.395720, norm of subgrad 1087.375922	dualbound = 2714701.395720, lowerbound=1180931.395720, norm of subgrad 40.327199	 stepsize= 1.000000 
-dualbound = 2714857.752413, lowerbound=1176229.752413, norm of subgrad 1085.223365	dualbound = 2714857.752413, lowerbound=1176229.752413, norm of subgrad 40.451906	 stepsize= 1.000000 
-dualbound = 2715017.397358, lowerbound=1186053.397358, norm of subgrad 1089.738224	dualbound = 2715017.397358, lowerbound=1186053.397358, norm of subgrad 40.443108	 stepsize= 1.000000 
-dualbound = 2715175.221436, lowerbound=1182221.221436, norm of subgrad 1087.984017	dualbound = 2715175.221436, lowerbound=1182221.221436, norm of subgrad 40.568757	 stepsize= 1.000000 
-dualbound = 2715343.906092, lowerbound=1182050.906092, norm of subgrad 1087.885521	dualbound = 2715343.906092, lowerbound=1182050.906092, norm of subgrad 40.158245	 stepsize= 1.000000 
-dualbound = 2715527.039331, lowerbound=1181559.039331, norm of subgrad 1087.651617	dualbound = 2715527.039331, lowerbound=1181559.039331, norm of subgrad 40.126466	 stepsize= 1.000000 
-dualbound = 2715702.348534, lowerbound=1185742.348534, norm of subgrad 1089.580354	dualbound = 2715702.348534, lowerbound=1185742.348534, norm of subgrad 40.228214	 stepsize= 1.000000 
-dualbound = 2715814.160426, lowerbound=1181797.160426, norm of subgrad 1087.743610	dualbound = 2715814.160426, lowerbound=1181797.160426, norm of subgrad 38.740314	 stepsize= 1.000000 
-dualbound = 2716020.919896, lowerbound=1183445.919896, norm of subgrad 1088.520519	dualbound = 2716020.919896, lowerbound=1183445.919896, norm of subgrad 40.469241	 stepsize= 1.000000 
-dualbound = 2716139.823117, lowerbound=1181660.823117, norm of subgrad 1087.717253	dualbound = 2716139.823117, lowerbound=1181660.823117, norm of subgrad 39.835954	 stepsize= 1.000000 
-dualbound = 2716290.672738, lowerbound=1177381.672738, norm of subgrad 1085.752123	dualbound = 2716290.672738, lowerbound=1177381.672738, norm of subgrad 40.334224	 stepsize= 1.000000 
-dualbound = 2716492.877189, lowerbound=1187245.877189, norm of subgrad 1090.268718	dualbound = 2716492.877189, lowerbound=1187245.877189, norm of subgrad 40.524122	 stepsize= 1.000000 
-dualbound = 2716643.357906, lowerbound=1181996.357906, norm of subgrad 1087.865505	dualbound = 2716643.357906, lowerbound=1181996.357906, norm of subgrad 40.068450	 stepsize= 1.000000 
-dualbound = 2716779.583717, lowerbound=1181092.583717, norm of subgrad 1087.442221	dualbound = 2716779.583717, lowerbound=1181092.583717, norm of subgrad 39.676515	 stepsize= 1.000000 
-dualbound = 2716957.298695, lowerbound=1178898.298695, norm of subgrad 1086.443417	dualbound = 2716957.298695, lowerbound=1178898.298695, norm of subgrad 40.481045	 stepsize= 1.000000 
-dualbound = 2717114.889553, lowerbound=1184190.889553, norm of subgrad 1088.854393	dualbound = 2717114.889553, lowerbound=1184190.889553, norm of subgrad 39.630681	 stepsize= 1.000000 
-dualbound = 2717274.271946, lowerbound=1184017.271946, norm of subgrad 1088.802678	dualbound = 2717274.271946, lowerbound=1184017.271946, norm of subgrad 40.415126	 stepsize= 1.000000 
-dualbound = 2717430.937588, lowerbound=1181855.937588, norm of subgrad 1087.795448	dualbound = 2717430.937588, lowerbound=1181855.937588, norm of subgrad 39.995820	 stepsize= 1.000000 
-dualbound = 2717578.767685, lowerbound=1183669.767685, norm of subgrad 1088.649975	dualbound = 2717578.767685, lowerbound=1183669.767685, norm of subgrad 40.457757	 stepsize= 1.000000 
-dualbound = 2717758.138232, lowerbound=1186902.138232, norm of subgrad 1090.110150	dualbound = 2717758.138232, lowerbound=1186902.138232, norm of subgrad 40.216546	 stepsize= 1.000000 
-dualbound = 2717930.902354, lowerbound=1184979.902354, norm of subgrad 1089.239598	dualbound = 2717930.902354, lowerbound=1184979.902354, norm of subgrad 40.444581	 stepsize= 1.000000 
-dualbound = 2718076.545888, lowerbound=1181115.545888, norm of subgrad 1087.432548	dualbound = 2718076.545888, lowerbound=1181115.545888, norm of subgrad 39.238292	 stepsize= 1.000000 
-dualbound = 2718255.224752, lowerbound=1182037.224752, norm of subgrad 1087.870960	dualbound = 2718255.224752, lowerbound=1182037.224752, norm of subgrad 40.058443	 stepsize= 1.000000 
-dualbound = 2718391.078608, lowerbound=1183888.078608, norm of subgrad 1088.718090	dualbound = 2718391.078608, lowerbound=1183888.078608, norm of subgrad 39.431635	 stepsize= 1.000000 
-dualbound = 2718574.821785, lowerbound=1182124.821785, norm of subgrad 1087.941093	dualbound = 2718574.821785, lowerbound=1182124.821785, norm of subgrad 40.923626	 stepsize= 1.000000 
-dualbound = 2718716.202025, lowerbound=1183596.202025, norm of subgrad 1088.615727	dualbound = 2718716.202025, lowerbound=1183596.202025, norm of subgrad 40.365582	 stepsize= 1.000000 
-dualbound = 2718888.102931, lowerbound=1183500.102931, norm of subgrad 1088.575263	dualbound = 2718888.102931, lowerbound=1183500.102931, norm of subgrad 40.839943	 stepsize= 1.000000 
-dualbound = 2719045.903676, lowerbound=1184023.903676, norm of subgrad 1088.792406	dualbound = 2719045.903676, lowerbound=1184023.903676, norm of subgrad 40.034994	 stepsize= 1.000000 
-dualbound = 2719219.543582, lowerbound=1178567.543582, norm of subgrad 1086.281982	dualbound = 2719219.543582, lowerbound=1178567.543582, norm of subgrad 40.182582	 stepsize= 1.000000 
-dualbound = 2719375.073447, lowerbound=1183360.073447, norm of subgrad 1088.516915	dualbound = 2719375.073447, lowerbound=1183360.073447, norm of subgrad 40.798650	 stepsize= 1.000000 
-dualbound = 2719531.699656, lowerbound=1182172.699656, norm of subgrad 1087.948390	dualbound = 2719531.699656, lowerbound=1182172.699656, norm of subgrad 40.194853	 stepsize= 1.000000 
-dualbound = 2719709.203349, lowerbound=1180677.203349, norm of subgrad 1087.232359	dualbound = 2719709.203349, lowerbound=1180677.203349, norm of subgrad 39.680016	 stepsize= 1.000000 
-dualbound = 2719890.464543, lowerbound=1179803.464543, norm of subgrad 1086.844269	dualbound = 2719890.464543, lowerbound=1179803.464543, norm of subgrad 40.103132	 stepsize= 1.000000 
-dualbound = 2720019.554867, lowerbound=1180475.554867, norm of subgrad 1087.168595	dualbound = 2720019.554867, lowerbound=1180475.554867, norm of subgrad 39.863396	 stepsize= 1.000000 
-dualbound = 2720199.683955, lowerbound=1183411.683955, norm of subgrad 1088.520870	dualbound = 2720199.683955, lowerbound=1183411.683955, norm of subgrad 40.572516	 stepsize= 1.000000 
-dualbound = 2720338.375939, lowerbound=1182335.375939, norm of subgrad 1087.993739	dualbound = 2720338.375939, lowerbound=1182335.375939, norm of subgrad 39.162380	 stepsize= 1.000000 
-dualbound = 2720515.901719, lowerbound=1184158.901719, norm of subgrad 1088.850725	dualbound = 2720515.901719, lowerbound=1184158.901719, norm of subgrad 40.181162	 stepsize= 1.000000 
-dualbound = 2720671.736979, lowerbound=1185562.736979, norm of subgrad 1089.493799	dualbound = 2720671.736979, lowerbound=1185562.736979, norm of subgrad 39.872738	 stepsize= 1.000000 
-dualbound = 2720832.798000, lowerbound=1183918.798000, norm of subgrad 1088.782255	dualbound = 2720832.798000, lowerbound=1183918.798000, norm of subgrad 41.098188	 stepsize= 1.000000 
-dualbound = 2720976.579471, lowerbound=1183079.579471, norm of subgrad 1088.378877	dualbound = 2720976.579471, lowerbound=1183079.579471, norm of subgrad 40.407691	 stepsize= 1.000000 
-dualbound = 2721165.209205, lowerbound=1184759.209205, norm of subgrad 1089.112120	dualbound = 2721165.209205, lowerbound=1184759.209205, norm of subgrad 39.932815	 stepsize= 1.000000 
-dualbound = 2721327.624521, lowerbound=1179501.624521, norm of subgrad 1086.691136	dualbound = 2721327.624521, lowerbound=1179501.624521, norm of subgrad 39.476769	 stepsize= 1.000000 
-dualbound = 2721484.140226, lowerbound=1183064.140226, norm of subgrad 1088.360758	dualbound = 2721484.140226, lowerbound=1183064.140226, norm of subgrad 40.268048	 stepsize= 1.000000 
-dualbound = 2721624.350762, lowerbound=1179702.350762, norm of subgrad 1086.812013	dualbound = 2721624.350762, lowerbound=1179702.350762, norm of subgrad 39.977625	 stepsize= 1.000000 
-dualbound = 2721800.213939, lowerbound=1184039.213939, norm of subgrad 1088.789793	dualbound = 2721800.213939, lowerbound=1184039.213939, norm of subgrad 39.998290	 stepsize= 1.000000 
-dualbound = 2721990.831648, lowerbound=1178198.831648, norm of subgrad 1086.092000	dualbound = 2721990.831648, lowerbound=1178198.831648, norm of subgrad 39.844921	 stepsize= 1.000000 
-dualbound = 2722137.242991, lowerbound=1188895.242991, norm of subgrad 1091.024859	dualbound = 2722137.242991, lowerbound=1188895.242991, norm of subgrad 39.829780	 stepsize= 1.000000 
-dualbound = 2722294.177516, lowerbound=1185998.177516, norm of subgrad 1089.671133	dualbound = 2722294.177516, lowerbound=1185998.177516, norm of subgrad 39.267474	 stepsize= 1.000000 
-dualbound = 2722459.838073, lowerbound=1183736.838073, norm of subgrad 1088.686749	dualbound = 2722459.838073, lowerbound=1183736.838073, norm of subgrad 40.837000	 stepsize= 1.000000 
-dualbound = 2722594.105930, lowerbound=1178259.105930, norm of subgrad 1086.146908	dualbound = 2722594.105930, lowerbound=1178259.105930, norm of subgrad 39.878163	 stepsize= 1.000000 
-dualbound = 2722773.266647, lowerbound=1179353.266647, norm of subgrad 1086.644959	dualbound = 2722773.266647, lowerbound=1179353.266647, norm of subgrad 40.288469	 stepsize= 1.000000 
-dualbound = 2722916.082358, lowerbound=1183587.082358, norm of subgrad 1088.602812	dualbound = 2722916.082358, lowerbound=1183587.082358, norm of subgrad 40.147425	 stepsize= 1.000000 
-dualbound = 2723081.908210, lowerbound=1187802.908210, norm of subgrad 1090.529646	dualbound = 2723081.908210, lowerbound=1187802.908210, norm of subgrad 40.222206	 stepsize= 1.000000 
-dualbound = 2723253.868644, lowerbound=1181282.868644, norm of subgrad 1087.521434	dualbound = 2723253.868644, lowerbound=1181282.868644, norm of subgrad 39.899379	 stepsize= 1.000000 
-dualbound = 2723438.931756, lowerbound=1181369.931756, norm of subgrad 1087.573414	dualbound = 2723438.931756, lowerbound=1181369.931756, norm of subgrad 40.386422	 stepsize= 1.000000 
-dualbound = 2723553.943685, lowerbound=1182192.943685, norm of subgrad 1087.987106	dualbound = 2723553.943685, lowerbound=1182192.943685, norm of subgrad 40.472360	 stepsize= 1.000000 
-dualbound = 2723735.441522, lowerbound=1182644.441522, norm of subgrad 1088.141738	dualbound = 2723735.441522, lowerbound=1182644.441522, norm of subgrad 39.868507	 stepsize= 1.000000 
-dualbound = 2723900.753801, lowerbound=1185374.753801, norm of subgrad 1089.392837	dualbound = 2723900.753801, lowerbound=1185374.753801, norm of subgrad 39.589295	 stepsize= 1.000000 
-dualbound = 2724058.006431, lowerbound=1186914.006431, norm of subgrad 1090.151369	dualbound = 2724058.006431, lowerbound=1186914.006431, norm of subgrad 40.905411	 stepsize= 1.000000 
-dualbound = 2724196.050772, lowerbound=1183258.050772, norm of subgrad 1088.451217	dualbound = 2724196.050772, lowerbound=1183258.050772, norm of subgrad 40.075483	 stepsize= 1.000000 
-dualbound = 2724378.341357, lowerbound=1183078.341357, norm of subgrad 1088.373255	dualbound = 2724378.341357, lowerbound=1183078.341357, norm of subgrad 40.746663	 stepsize= 1.000000 
-dualbound = 2724526.868218, lowerbound=1180102.868218, norm of subgrad 1086.981540	dualbound = 2724526.868218, lowerbound=1180102.868218, norm of subgrad 39.680308	 stepsize= 1.000000 
-dualbound = 2724722.146031, lowerbound=1188484.146031, norm of subgrad 1090.836443	dualbound = 2724722.146031, lowerbound=1188484.146031, norm of subgrad 40.438568	 stepsize= 1.000000 
-dualbound = 2724836.167077, lowerbound=1181372.167077, norm of subgrad 1087.589154	dualbound = 2724836.167077, lowerbound=1181372.167077, norm of subgrad 39.900138	 stepsize= 1.000000 
-dualbound = 2725025.296405, lowerbound=1183704.296405, norm of subgrad 1088.652055	dualbound = 2725025.296405, lowerbound=1183704.296405, norm of subgrad 40.597159	 stepsize= 1.000000 
-dualbound = 2725206.047284, lowerbound=1177535.047284, norm of subgrad 1085.792359	dualbound = 2725206.047284, lowerbound=1177535.047284, norm of subgrad 39.884218	 stepsize= 1.000000 
-dualbound = 2725329.117111, lowerbound=1184113.117111, norm of subgrad 1088.841640	dualbound = 2725329.117111, lowerbound=1184113.117111, norm of subgrad 39.825492	 stepsize= 1.000000 
-dualbound = 2725531.962409, lowerbound=1180861.962409, norm of subgrad 1087.321002	dualbound = 2725531.962409, lowerbound=1180861.962409, norm of subgrad 40.097946	 stepsize= 1.000000 
-dualbound = 2725672.896298, lowerbound=1185575.896298, norm of subgrad 1089.497084	dualbound = 2725672.896298, lowerbound=1185575.896298, norm of subgrad 39.609770	 stepsize= 1.000000 
-dualbound = 2725834.154610, lowerbound=1182134.154610, norm of subgrad 1087.956412	dualbound = 2725834.154610, lowerbound=1182134.154610, norm of subgrad 40.942134	 stepsize= 1.000000 
-dualbound = 2725992.828953, lowerbound=1189924.828953, norm of subgrad 1091.509885	dualbound = 2725992.828953, lowerbound=1189924.828953, norm of subgrad 40.344446	 stepsize= 1.000000 
-dualbound = 2726141.213353, lowerbound=1181772.213353, norm of subgrad 1087.767536	dualbound = 2726141.213353, lowerbound=1181772.213353, norm of subgrad 40.179403	 stepsize= 1.000000 
-dualbound = 2726290.383455, lowerbound=1183598.383455, norm of subgrad 1088.608003	dualbound = 2726290.383455, lowerbound=1183598.383455, norm of subgrad 40.226485	 stepsize= 1.000000 
-dualbound = 2726470.866337, lowerbound=1180881.866337, norm of subgrad 1087.360504	dualbound = 2726470.866337, lowerbound=1180881.866337, norm of subgrad 40.638441	 stepsize= 1.000000 
-dualbound = 2726628.893636, lowerbound=1185349.893636, norm of subgrad 1089.388771	dualbound = 2726628.893636, lowerbound=1185349.893636, norm of subgrad 39.699210	 stepsize= 1.000000 
-dualbound = 2726797.995169, lowerbound=1183168.995169, norm of subgrad 1088.404794	dualbound = 2726797.995169, lowerbound=1183168.995169, norm of subgrad 40.312548	 stepsize= 1.000000 
-dualbound = 2726932.923184, lowerbound=1184756.923184, norm of subgrad 1089.123466	dualbound = 2726932.923184, lowerbound=1184756.923184, norm of subgrad 39.597071	 stepsize= 1.000000 
-dualbound = 2727125.485496, lowerbound=1181386.485496, norm of subgrad 1087.562635	dualbound = 2727125.485496, lowerbound=1181386.485496, norm of subgrad 39.982025	 stepsize= 1.000000 
-dualbound = 2727275.641770, lowerbound=1179749.641770, norm of subgrad 1086.819507	dualbound = 2727275.641770, lowerbound=1179749.641770, norm of subgrad 39.713427	 stepsize= 1.000000 
-dualbound = 2727443.274791, lowerbound=1184519.274791, norm of subgrad 1089.033643	dualbound = 2727443.274791, lowerbound=1184519.274791, norm of subgrad 40.529409	 stepsize= 1.000000 
-dualbound = 2727575.319732, lowerbound=1181789.319732, norm of subgrad 1087.783673	dualbound = 2727575.319732, lowerbound=1181789.319732, norm of subgrad 40.200061	 stepsize= 1.000000 
-dualbound = 2727742.795573, lowerbound=1185794.795573, norm of subgrad 1089.613140	dualbound = 2727742.795573, lowerbound=1185794.795573, norm of subgrad 40.366767	 stepsize= 1.000000 
-dualbound = 2727894.877729, lowerbound=1184071.877729, norm of subgrad 1088.826836	dualbound = 2727894.877729, lowerbound=1184071.877729, norm of subgrad 40.299903	 stepsize= 1.000000 
-dualbound = 2728066.296619, lowerbound=1179561.296619, norm of subgrad 1086.730554	dualbound = 2728066.296619, lowerbound=1179561.296619, norm of subgrad 39.917651	 stepsize= 1.000000 
-dualbound = 2728243.214886, lowerbound=1183478.214886, norm of subgrad 1088.564750	dualbound = 2728243.214886, lowerbound=1183478.214886, norm of subgrad 40.889097	 stepsize= 1.000000 
-dualbound = 2728377.485001, lowerbound=1181540.485001, norm of subgrad 1087.659177	dualbound = 2728377.485001, lowerbound=1181540.485001, norm of subgrad 39.953349	 stepsize= 1.000000 
-dualbound = 2728559.975157, lowerbound=1185374.975157, norm of subgrad 1089.397987	dualbound = 2728559.975157, lowerbound=1185374.975157, norm of subgrad 39.943587	 stepsize= 1.000000 
-dualbound = 2728736.626266, lowerbound=1182536.626266, norm of subgrad 1088.104143	dualbound = 2728736.626266, lowerbound=1182536.626266, norm of subgrad 40.132918	 stepsize= 1.000000 
-dualbound = 2728875.094363, lowerbound=1180388.094363, norm of subgrad 1087.114573	dualbound = 2728875.094363, lowerbound=1180388.094363, norm of subgrad 39.603890	 stepsize= 1.000000 
-dualbound = 2729049.926049, lowerbound=1188032.926049, norm of subgrad 1090.627767	dualbound = 2729049.926049, lowerbound=1188032.926049, norm of subgrad 40.135168	 stepsize= 1.000000 
-dualbound = 2729217.735218, lowerbound=1180899.735218, norm of subgrad 1087.358145	dualbound = 2729217.735218, lowerbound=1180899.735218, norm of subgrad 40.197129	 stepsize= 1.000000 
-dualbound = 2729355.943105, lowerbound=1189740.943105, norm of subgrad 1091.434809	dualbound = 2729355.943105, lowerbound=1189740.943105, norm of subgrad 40.338665	 stepsize= 1.000000 
-dualbound = 2729521.753452, lowerbound=1178818.753452, norm of subgrad 1086.433041	dualbound = 2729521.753452, lowerbound=1178818.753452, norm of subgrad 41.034258	 stepsize= 1.000000 
-dualbound = 2729651.416780, lowerbound=1181676.416780, norm of subgrad 1087.729478	dualbound = 2729651.416780, lowerbound=1181676.416780, norm of subgrad 40.108145	 stepsize= 1.000000 
-dualbound = 2729839.158295, lowerbound=1186833.158295, norm of subgrad 1090.086308	dualbound = 2729839.158295, lowerbound=1186833.158295, norm of subgrad 40.530748	 stepsize= 1.000000 
-dualbound = 2730012.795983, lowerbound=1185583.795983, norm of subgrad 1089.519525	dualbound = 2730012.795983, lowerbound=1185583.795983, norm of subgrad 40.529467	 stepsize= 1.000000 
-dualbound = 2730148.882544, lowerbound=1182483.882544, norm of subgrad 1088.078528	dualbound = 2730148.882544, lowerbound=1182483.882544, norm of subgrad 39.586444	 stepsize= 1.000000 
-dualbound = 2730329.016972, lowerbound=1183605.016972, norm of subgrad 1088.570630	dualbound = 2730329.016972, lowerbound=1183605.016972, norm of subgrad 39.511194	 stepsize= 1.000000 
-dualbound = 2730459.069585, lowerbound=1185119.069585, norm of subgrad 1089.324134	dualbound = 2730459.069585, lowerbound=1185119.069585, norm of subgrad 40.472863	 stepsize= 1.000000 
-dualbound = 2730628.478440, lowerbound=1183471.478440, norm of subgrad 1088.546957	dualbound = 2730628.478440, lowerbound=1183471.478440, norm of subgrad 40.403080	 stepsize= 1.000000 
-dualbound = 2730803.707263, lowerbound=1184939.707263, norm of subgrad 1089.214720	dualbound = 2730803.707263, lowerbound=1184939.707263, norm of subgrad 40.301722	 stepsize= 1.000000 
-dualbound = 2730973.187876, lowerbound=1183687.187876, norm of subgrad 1088.617099	dualbound = 2730973.187876, lowerbound=1183687.187876, norm of subgrad 39.616671	 stepsize= 1.000000 
-dualbound = 2731105.378440, lowerbound=1179740.378440, norm of subgrad 1086.844229	dualbound = 2731105.378440, lowerbound=1179740.378440, norm of subgrad 40.276427	 stepsize= 1.000000 
-dualbound = 2731282.103360, lowerbound=1184988.103360, norm of subgrad 1089.236936	dualbound = 2731282.103360, lowerbound=1184988.103360, norm of subgrad 40.320279	 stepsize= 1.000000 
-dualbound = 2731443.273314, lowerbound=1182701.273314, norm of subgrad 1088.178420	dualbound = 2731443.273314, lowerbound=1182701.273314, norm of subgrad 39.902004	 stepsize= 1.000000 
-dualbound = 2731613.675803, lowerbound=1185097.675803, norm of subgrad 1089.256478	dualbound = 2731613.675803, lowerbound=1185097.675803, norm of subgrad 39.400539	 stepsize= 1.000000 
-dualbound = 2731768.157021, lowerbound=1182404.157021, norm of subgrad 1088.048784	dualbound = 2731768.157021, lowerbound=1182404.157021, norm of subgrad 40.006015	 stepsize= 1.000000 
-dualbound = 2731930.490903, lowerbound=1185095.490903, norm of subgrad 1089.262361	dualbound = 2731930.490903, lowerbound=1185095.490903, norm of subgrad 39.488402	 stepsize= 1.000000 
-dualbound = 2732113.172305, lowerbound=1183609.172305, norm of subgrad 1088.567027	dualbound = 2732113.172305, lowerbound=1183609.172305, norm of subgrad 39.391387	 stepsize= 1.000000 
-dualbound = 2732266.845082, lowerbound=1182663.845082, norm of subgrad 1088.148356	dualbound = 2732266.845082, lowerbound=1182663.845082, norm of subgrad 39.454693	 stepsize= 1.000000 
-dualbound = 2732408.827399, lowerbound=1179806.827399, norm of subgrad 1086.853637	dualbound = 2732408.827399, lowerbound=1179806.827399, norm of subgrad 39.824393	 stepsize= 1.000000 
-dualbound = 2732560.943475, lowerbound=1184045.943475, norm of subgrad 1088.820437	dualbound = 2732560.943475, lowerbound=1184045.943475, norm of subgrad 40.448932	 stepsize= 1.000000 
-dualbound = 2732713.750375, lowerbound=1186016.750375, norm of subgrad 1089.694338	dualbound = 2732713.750375, lowerbound=1186016.750375, norm of subgrad 39.620789	 stepsize= 1.000000 
-dualbound = 2732888.037510, lowerbound=1183391.037510, norm of subgrad 1088.493931	dualbound = 2732888.037510, lowerbound=1183391.037510, norm of subgrad 40.028579	 stepsize= 1.000000 
-dualbound = 2733031.124120, lowerbound=1183994.124120, norm of subgrad 1088.817764	dualbound = 2733031.124120, lowerbound=1183994.124120, norm of subgrad 40.903381	 stepsize= 1.000000 
-dualbound = 2733186.161754, lowerbound=1185375.161754, norm of subgrad 1089.446723	dualbound = 2733186.161754, lowerbound=1185375.161754, norm of subgrad 40.915005	 stepsize= 1.000000 
-dualbound = 2733351.509107, lowerbound=1184407.509107, norm of subgrad 1089.008498	dualbound = 2733351.509107, lowerbound=1184407.509107, norm of subgrad 41.198876	 stepsize= 1.000000 
-dualbound = 2733492.918272, lowerbound=1182611.918272, norm of subgrad 1088.166770	dualbound = 2733492.918272, lowerbound=1182611.918272, norm of subgrad 40.452554	 stepsize= 1.000000 
-dualbound = 2733701.145767, lowerbound=1185285.145767, norm of subgrad 1089.392099	dualbound = 2733701.145767, lowerbound=1185285.145767, norm of subgrad 41.209556	 stepsize= 1.000000 
-dualbound = 2733829.963032, lowerbound=1180002.963032, norm of subgrad 1086.936964	dualbound = 2733829.963032, lowerbound=1180002.963032, norm of subgrad 39.469194	 stepsize= 1.000000 
-dualbound = 2734033.814312, lowerbound=1189612.814312, norm of subgrad 1091.363741	dualbound = 2734033.814312, lowerbound=1189612.814312, norm of subgrad 40.814841	 stepsize= 1.000000 
-dualbound = 2734153.989751, lowerbound=1179727.989751, norm of subgrad 1086.846351	dualbound = 2734153.989751, lowerbound=1179727.989751, norm of subgrad 40.338263	 stepsize= 1.000000 
-dualbound = 2734314.981075, lowerbound=1182052.981075, norm of subgrad 1087.912212	dualbound = 2734314.981075, lowerbound=1182052.981075, norm of subgrad 40.755261	 stepsize= 1.000000 
-dualbound = 2734457.775469, lowerbound=1184437.775469, norm of subgrad 1088.988418	dualbound = 2734457.775469, lowerbound=1184437.775469, norm of subgrad 40.009929	 stepsize= 1.000000 
-dualbound = 2734656.057892, lowerbound=1187258.057892, norm of subgrad 1090.263756	dualbound = 2734656.057892, lowerbound=1187258.057892, norm of subgrad 40.190576	 stepsize= 1.000000 
-dualbound = 2734835.719016, lowerbound=1182860.719016, norm of subgrad 1088.247085	dualbound = 2734835.719016, lowerbound=1182860.719016, norm of subgrad 40.008263	 stepsize= 1.000000 
-dualbound = 2734992.501281, lowerbound=1185394.501281, norm of subgrad 1089.425308	dualbound = 2734992.501281, lowerbound=1185394.501281, norm of subgrad 40.122092	 stepsize= 1.000000 
-dualbound = 2735124.235006, lowerbound=1182812.235006, norm of subgrad 1088.233079	dualbound = 2735124.235006, lowerbound=1182812.235006, norm of subgrad 39.632483	 stepsize= 1.000000 
-dualbound = 2735292.516685, lowerbound=1184413.516685, norm of subgrad 1088.970852	dualbound = 2735292.516685, lowerbound=1184413.516685, norm of subgrad 40.153228	 stepsize= 1.000000 
-dualbound = 2735485.970100, lowerbound=1184315.970100, norm of subgrad 1088.940297	dualbound = 2735485.970100, lowerbound=1184315.970100, norm of subgrad 40.846706	 stepsize= 1.000000 
-dualbound = 2735595.019798, lowerbound=1185563.019798, norm of subgrad 1089.517333	dualbound = 2735595.019798, lowerbound=1185563.019798, norm of subgrad 39.925552	 stepsize= 1.000000 
-dualbound = 2735761.542780, lowerbound=1183429.542780, norm of subgrad 1088.528614	dualbound = 2735761.542780, lowerbound=1183429.542780, norm of subgrad 40.392115	 stepsize= 1.000000 
-dualbound = 2735942.297913, lowerbound=1185039.297913, norm of subgrad 1089.261354	dualbound = 2735942.297913, lowerbound=1185039.297913, norm of subgrad 40.394989	 stepsize= 1.000000 
-dualbound = 2736080.667570, lowerbound=1185083.667570, norm of subgrad 1089.282180	dualbound = 2736080.667570, lowerbound=1185083.667570, norm of subgrad 39.879439	 stepsize= 1.000000 
-dualbound = 2736270.172118, lowerbound=1185097.172118, norm of subgrad 1089.268641	dualbound = 2736270.172118, lowerbound=1185097.172118, norm of subgrad 39.981302	 stepsize= 1.000000 
-dualbound = 2736410.433481, lowerbound=1185478.433481, norm of subgrad 1089.489988	dualbound = 2736410.433481, lowerbound=1185478.433481, norm of subgrad 40.623409	 stepsize= 1.000000 
-dualbound = 2736557.130989, lowerbound=1186499.130989, norm of subgrad 1089.935838	dualbound = 2736557.130989, lowerbound=1186499.130989, norm of subgrad 40.096103	 stepsize= 1.000000 
-dualbound = 2736728.659518, lowerbound=1183542.659518, norm of subgrad 1088.552552	dualbound = 2736728.659518, lowerbound=1183542.659518, norm of subgrad 39.692928	 stepsize= 1.000000 
-dualbound = 2736900.162194, lowerbound=1179153.162194, norm of subgrad 1086.550120	dualbound = 2736900.162194, lowerbound=1179153.162194, norm of subgrad 40.118608	 stepsize= 1.000000 
-dualbound = 2737036.160128, lowerbound=1183310.160128, norm of subgrad 1088.482503	dualbound = 2737036.160128, lowerbound=1183310.160128, norm of subgrad 40.249198	 stepsize= 1.000000 
-dualbound = 2737211.788010, lowerbound=1182321.788010, norm of subgrad 1087.998983	dualbound = 2737211.788010, lowerbound=1182321.788010, norm of subgrad 39.945311	 stepsize= 1.000000 
-dualbound = 2737358.541889, lowerbound=1183983.541889, norm of subgrad 1088.780759	dualbound = 2737358.541889, lowerbound=1183983.541889, norm of subgrad 40.084335	 stepsize= 1.000000 
-dualbound = 2737502.967899, lowerbound=1191598.967899, norm of subgrad 1092.269183	dualbound = 2737502.967899, lowerbound=1191598.967899, norm of subgrad 39.967812	 stepsize= 1.000000 
-dualbound = 2737677.495262, lowerbound=1185611.495262, norm of subgrad 1089.501489	dualbound = 2737677.495262, lowerbound=1185611.495262, norm of subgrad 39.705508	 stepsize= 1.000000 
-dualbound = 2737847.343478, lowerbound=1185145.343478, norm of subgrad 1089.313703	dualbound = 2737847.343478, lowerbound=1185145.343478, norm of subgrad 40.358992	 stepsize= 1.000000 
-dualbound = 2737986.336609, lowerbound=1180211.336609, norm of subgrad 1087.028213	dualbound = 2737986.336609, lowerbound=1180211.336609, norm of subgrad 39.471422	 stepsize= 1.000000 
-dualbound = 2738178.934373, lowerbound=1183317.934373, norm of subgrad 1088.456216	dualbound = 2738178.934373, lowerbound=1183317.934373, norm of subgrad 40.144710	 stepsize= 1.000000 
-dualbound = 2738295.437933, lowerbound=1184280.437933, norm of subgrad 1088.946481	dualbound = 2738295.437933, lowerbound=1184280.437933, norm of subgrad 40.503130	 stepsize= 1.000000 
-dualbound = 2738466.914573, lowerbound=1182667.914573, norm of subgrad 1088.176417	dualbound = 2738466.914573, lowerbound=1182667.914573, norm of subgrad 40.391542	 stepsize= 1.000000 
-dualbound = 2738653.421899, lowerbound=1182532.421899, norm of subgrad 1088.098535	dualbound = 2738653.421899, lowerbound=1182532.421899, norm of subgrad 40.156037	 stepsize= 1.000000 
-dualbound = 2738804.523076, lowerbound=1186790.523076, norm of subgrad 1090.061706	dualbound = 2738804.523076, lowerbound=1186790.523076, norm of subgrad 39.938718	 stepsize= 1.000000 
-dualbound = 2738962.606604, lowerbound=1184398.606604, norm of subgrad 1088.977781	dualbound = 2738962.606604, lowerbound=1184398.606604, norm of subgrad 40.399054	 stepsize= 1.000000 
-dualbound = 2739099.668367, lowerbound=1184339.668367, norm of subgrad 1088.941995	dualbound = 2739099.668367, lowerbound=1184339.668367, norm of subgrad 39.900649	 stepsize= 1.000000 
-dualbound = 2739278.414260, lowerbound=1182520.414260, norm of subgrad 1088.100370	dualbound = 2739278.414260, lowerbound=1182520.414260, norm of subgrad 40.258488	 stepsize= 1.000000 
-dualbound = 2739432.186678, lowerbound=1184375.186678, norm of subgrad 1088.977129	dualbound = 2739432.186678, lowerbound=1184375.186678, norm of subgrad 40.617391	 stepsize= 1.000000 
-dualbound = 2739574.415393, lowerbound=1182042.415393, norm of subgrad 1087.905518	dualbound = 2739574.415393, lowerbound=1182042.415393, norm of subgrad 40.475038	 stepsize= 1.000000 
-dualbound = 2739743.254636, lowerbound=1185439.254636, norm of subgrad 1089.452273	dualbound = 2739743.254636, lowerbound=1185439.254636, norm of subgrad 40.445510	 stepsize= 1.000000 
-dualbound = 2739913.388032, lowerbound=1185502.388032, norm of subgrad 1089.449121	dualbound = 2739913.388032, lowerbound=1185502.388032, norm of subgrad 39.587036	 stepsize= 1.000000 
-dualbound = 2740098.932132, lowerbound=1187810.932132, norm of subgrad 1090.500771	dualbound = 2740098.932132, lowerbound=1187810.932132, norm of subgrad 39.579592	 stepsize= 1.000000 
-dualbound = 2740230.668493, lowerbound=1184919.668493, norm of subgrad 1089.191750	dualbound = 2740230.668493, lowerbound=1184919.668493, norm of subgrad 39.379390	 stepsize= 1.000000 
-dualbound = 2740379.482364, lowerbound=1184252.482364, norm of subgrad 1088.882217	dualbound = 2740379.482364, lowerbound=1184252.482364, norm of subgrad 39.507137	 stepsize= 1.000000 
-dualbound = 2740573.997909, lowerbound=1179192.997909, norm of subgrad 1086.525194	dualbound = 2740573.997909, lowerbound=1179192.997909, norm of subgrad 39.223915	 stepsize= 1.000000 
-dualbound = 2740728.269798, lowerbound=1187960.269798, norm of subgrad 1090.567407	dualbound = 2740728.269798, lowerbound=1187960.269798, norm of subgrad 39.131469	 stepsize= 1.000000 
-dualbound = 2740887.981153, lowerbound=1178687.981153, norm of subgrad 1086.334194	dualbound = 2740887.981153, lowerbound=1178687.981153, norm of subgrad 39.921315	 stepsize= 1.000000 
-dualbound = 2741023.743466, lowerbound=1189093.743466, norm of subgrad 1091.129114	dualbound = 2741023.743466, lowerbound=1189093.743466, norm of subgrad 40.059485	 stepsize= 1.000000 
-dualbound = 2741185.114996, lowerbound=1182087.114996, norm of subgrad 1087.915491	dualbound = 2741185.114996, lowerbound=1182087.114996, norm of subgrad 40.427361	 stepsize= 1.000000 
-dualbound = 2741351.560296, lowerbound=1185790.560296, norm of subgrad 1089.597889	dualbound = 2741351.560296, lowerbound=1185790.560296, norm of subgrad 39.993066	 stepsize= 1.000000 
-dualbound = 2741508.085690, lowerbound=1182507.085690, norm of subgrad 1088.084135	dualbound = 2741508.085690, lowerbound=1182507.085690, norm of subgrad 39.705483	 stepsize= 1.000000 
-dualbound = 2741667.670594, lowerbound=1186300.670594, norm of subgrad 1089.852132	dualbound = 2741667.670594, lowerbound=1186300.670594, norm of subgrad 40.454727	 stepsize= 1.000000 
-dualbound = 2741815.660049, lowerbound=1186778.660049, norm of subgrad 1090.097546	dualbound = 2741815.660049, lowerbound=1186778.660049, norm of subgrad 41.012065	 stepsize= 1.000000 
-dualbound = 2741974.443867, lowerbound=1182440.443867, norm of subgrad 1088.070514	dualbound = 2741974.443867, lowerbound=1182440.443867, norm of subgrad 40.196814	 stepsize= 1.000000 
-dualbound = 2742140.972337, lowerbound=1186235.972337, norm of subgrad 1089.842178	dualbound = 2742140.972337, lowerbound=1186235.972337, norm of subgrad 41.067365	 stepsize= 1.000000 
-dualbound = 2742305.994010, lowerbound=1183529.994010, norm of subgrad 1088.552706	dualbound = 2742305.994010, lowerbound=1183529.994010, norm of subgrad 39.774636	 stepsize= 1.000000 
-dualbound = 2742495.310190, lowerbound=1184298.310190, norm of subgrad 1088.912903	dualbound = 2742495.310190, lowerbound=1184298.310190, norm of subgrad 40.277986	 stepsize= 1.000000 
-dualbound = 2742642.369707, lowerbound=1183654.369707, norm of subgrad 1088.609374	dualbound = 2742642.369707, lowerbound=1183654.369707, norm of subgrad 39.535548	 stepsize= 1.000000 
-dualbound = 2742784.420547, lowerbound=1182637.420547, norm of subgrad 1088.193191	dualbound = 2742784.420547, lowerbound=1182637.420547, norm of subgrad 40.854019	 stepsize= 1.000000 
-dualbound = 2742956.144607, lowerbound=1187472.144607, norm of subgrad 1090.372021	dualbound = 2742956.144607, lowerbound=1187472.144607, norm of subgrad 40.133827	 stepsize= 1.000000 
-dualbound = 2743110.566805, lowerbound=1184781.566805, norm of subgrad 1089.160946	dualbound = 2743110.566805, lowerbound=1184781.566805, norm of subgrad 40.551476	 stepsize= 1.000000 
-dualbound = 2743268.828672, lowerbound=1186368.828672, norm of subgrad 1089.876520	dualbound = 2743268.828672, lowerbound=1186368.828672, norm of subgrad 40.252477	 stepsize= 1.000000 
-dualbound = 2743444.287987, lowerbound=1182833.287987, norm of subgrad 1088.223455	dualbound = 2743444.287987, lowerbound=1182833.287987, norm of subgrad 39.654247	 stepsize= 1.000000 
-dualbound = 2743622.657569, lowerbound=1182951.657569, norm of subgrad 1088.311838	dualbound = 2743622.657569, lowerbound=1182951.657569, norm of subgrad 40.612431	 stepsize= 1.000000 
-dualbound = 2743704.862022, lowerbound=1186101.862022, norm of subgrad 1089.779272	dualbound = 2743704.862022, lowerbound=1186101.862022, norm of subgrad 39.990054	 stepsize= 1.000000 
-dualbound = 2743903.382252, lowerbound=1179978.382252, norm of subgrad 1086.938537	dualbound = 2743903.382252, lowerbound=1179978.382252, norm of subgrad 40.688085	 stepsize= 1.000000 
-dualbound = 2744067.797584, lowerbound=1188579.797584, norm of subgrad 1090.890828	dualbound = 2744067.797584, lowerbound=1188579.797584, norm of subgrad 40.341236	 stepsize= 1.000000 
-dualbound = 2744258.122073, lowerbound=1182969.122073, norm of subgrad 1088.296891	dualbound = 2744258.122073, lowerbound=1182969.122073, norm of subgrad 40.141307	 stepsize= 1.000000 
-dualbound = 2744390.581864, lowerbound=1185503.581864, norm of subgrad 1089.499693	dualbound = 2744390.581864, lowerbound=1185503.581864, norm of subgrad 40.477893	 stepsize= 1.000000 
-dualbound = 2744547.090855, lowerbound=1186212.090855, norm of subgrad 1089.770660	dualbound = 2744547.090855, lowerbound=1186212.090855, norm of subgrad 39.300242	 stepsize= 1.000000 
-dualbound = 2744729.147712, lowerbound=1180942.147712, norm of subgrad 1087.338102	dualbound = 2744729.147712, lowerbound=1180942.147712, norm of subgrad 39.294489	 stepsize= 1.000000 
-dualbound = 2744913.170251, lowerbound=1183453.170251, norm of subgrad 1088.493073	dualbound = 2744913.170251, lowerbound=1183453.170251, norm of subgrad 39.344918	 stepsize= 1.000000 
-dualbound = 2745040.533433, lowerbound=1184292.533433, norm of subgrad 1088.912546	dualbound = 2745040.533433, lowerbound=1184292.533433, norm of subgrad 39.564671	 stepsize= 1.000000 
-dualbound = 2745190.588337, lowerbound=1183354.588337, norm of subgrad 1088.467541	dualbound = 2745190.588337, lowerbound=1183354.588337, norm of subgrad 39.459535	 stepsize= 1.000000 
-dualbound = 2745354.676613, lowerbound=1186512.676613, norm of subgrad 1089.934712	dualbound = 2745354.676613, lowerbound=1186512.676613, norm of subgrad 40.113443	 stepsize= 1.000000 
-dualbound = 2745529.247594, lowerbound=1183357.247594, norm of subgrad 1088.494487	dualbound = 2745529.247594, lowerbound=1183357.247594, norm of subgrad 40.466912	 stepsize= 1.000000 
-dualbound = 2745676.819781, lowerbound=1188462.819781, norm of subgrad 1090.845003	dualbound = 2745676.819781, lowerbound=1188462.819781, norm of subgrad 40.343180	 stepsize= 1.000000 
-dualbound = 2745849.908436, lowerbound=1182810.908436, norm of subgrad 1088.226037	dualbound = 2745849.908436, lowerbound=1182810.908436, norm of subgrad 39.976101	 stepsize= 1.000000 
-dualbound = 2746002.087326, lowerbound=1186858.087326, norm of subgrad 1090.097742	dualbound = 2746002.087326, lowerbound=1186858.087326, norm of subgrad 40.089636	 stepsize= 1.000000 
-dualbound = 2746159.091900, lowerbound=1184784.091900, norm of subgrad 1089.162564	dualbound = 2746159.091900, lowerbound=1184784.091900, norm of subgrad 40.595623	 stepsize= 1.000000 
-dualbound = 2746300.189713, lowerbound=1183186.189713, norm of subgrad 1088.431068	dualbound = 2746300.189713, lowerbound=1183186.189713, norm of subgrad 40.461065	 stepsize= 1.000000 
-dualbound = 2746451.541102, lowerbound=1185628.541102, norm of subgrad 1089.553368	dualbound = 2746451.541102, lowerbound=1185628.541102, norm of subgrad 40.612207	 stepsize= 1.000000 
-dualbound = 2746598.469799, lowerbound=1183125.469799, norm of subgrad 1088.395824	dualbound = 2746598.469799, lowerbound=1183125.469799, norm of subgrad 40.335204	 stepsize= 1.000000 
-dualbound = 2746794.968156, lowerbound=1186185.968156, norm of subgrad 1089.794920	dualbound = 2746794.968156, lowerbound=1186185.968156, norm of subgrad 40.786007	 stepsize= 1.000000 
-dualbound = 2746933.253911, lowerbound=1181081.253911, norm of subgrad 1087.425516	dualbound = 2746933.253911, lowerbound=1181081.253911, norm of subgrad 39.386365	 stepsize= 1.000000 
-dualbound = 2747148.836197, lowerbound=1187935.836197, norm of subgrad 1090.560790	dualbound = 2747148.836197, lowerbound=1187935.836197, norm of subgrad 40.032266	 stepsize= 1.000000 
-dualbound = 2747272.661747, lowerbound=1182355.661747, norm of subgrad 1088.026958	dualbound = 2747272.661747, lowerbound=1182355.661747, norm of subgrad 39.633642	 stepsize= 1.000000 
-dualbound = 2747421.638054, lowerbound=1184644.638054, norm of subgrad 1089.063193	dualbound = 2747421.638054, lowerbound=1184644.638054, norm of subgrad 39.534495	 stepsize= 1.000000 
-dualbound = 2747623.035808, lowerbound=1186532.035808, norm of subgrad 1089.921114	dualbound = 2747623.035808, lowerbound=1186532.035808, norm of subgrad 39.967459	 stepsize= 1.000000 
-dualbound = 2747753.274814, lowerbound=1185889.274814, norm of subgrad 1089.653282	dualbound = 2747753.274814, lowerbound=1185889.274814, norm of subgrad 39.815060	 stepsize= 1.000000 
-dualbound = 2747912.732912, lowerbound=1184060.732912, norm of subgrad 1088.797379	dualbound = 2747912.732912, lowerbound=1184060.732912, norm of subgrad 39.729814	 stepsize= 1.000000 
-dualbound = 2748100.755331, lowerbound=1180154.755331, norm of subgrad 1086.987928	dualbound = 2748100.755331, lowerbound=1180154.755331, norm of subgrad 39.699149	 stepsize= 1.000000 
-dualbound = 2748236.490134, lowerbound=1183206.490134, norm of subgrad 1088.422937	dualbound = 2748236.490134, lowerbound=1183206.490134, norm of subgrad 39.921608	 stepsize= 1.000000 
-dualbound = 2748404.594855, lowerbound=1183470.594855, norm of subgrad 1088.558494	dualbound = 2748404.594855, lowerbound=1183470.594855, norm of subgrad 40.707551	 stepsize= 1.000000 
-dualbound = 2748515.972167, lowerbound=1182624.972167, norm of subgrad 1088.162659	dualbound = 2748515.972167, lowerbound=1182624.972167, norm of subgrad 39.804237	 stepsize= 1.000000 
-dualbound = 2748734.642403, lowerbound=1191139.642403, norm of subgrad 1092.048370	dualbound = 2748734.642403, lowerbound=1191139.642403, norm of subgrad 40.603820	 stepsize= 1.000000 
-dualbound = 2748862.422272, lowerbound=1183193.422272, norm of subgrad 1088.410043	dualbound = 2748862.422272, lowerbound=1183193.422272, norm of subgrad 39.633065	 stepsize= 1.000000 
-dualbound = 2749043.865499, lowerbound=1186090.865499, norm of subgrad 1089.739357	dualbound = 2749043.865499, lowerbound=1186090.865499, norm of subgrad 40.279563	 stepsize= 1.000000 
-dualbound = 2749165.882468, lowerbound=1181470.882468, norm of subgrad 1087.618445	dualbound = 2749165.882468, lowerbound=1181470.882468, norm of subgrad 39.560295	 stepsize= 1.000000 
-dualbound = 2749364.120537, lowerbound=1186528.120537, norm of subgrad 1089.936751	dualbound = 2749364.120537, lowerbound=1186528.120537, norm of subgrad 40.400966	 stepsize= 1.000000 
-dualbound = 2749506.158975, lowerbound=1184128.158975, norm of subgrad 1088.815025	dualbound = 2749506.158975, lowerbound=1184128.158975, norm of subgrad 39.141263	 stepsize= 1.000000 
-dualbound = 2749688.635123, lowerbound=1186193.635123, norm of subgrad 1089.786509	dualbound = 2749688.635123, lowerbound=1186193.635123, norm of subgrad 40.292383	 stepsize= 1.000000 
-dualbound = 2749815.642419, lowerbound=1187413.642419, norm of subgrad 1090.386465	dualbound = 2749815.642419, lowerbound=1187413.642419, norm of subgrad 40.694070	 stepsize= 1.000000 
-dualbound = 2749970.352303, lowerbound=1186168.352303, norm of subgrad 1089.782250	dualbound = 2749970.352303, lowerbound=1186168.352303, norm of subgrad 40.146107	 stepsize= 1.000000 
-dualbound = 2750138.105714, lowerbound=1184239.105714, norm of subgrad 1088.893983	dualbound = 2750138.105714, lowerbound=1184239.105714, norm of subgrad 40.233735	 stepsize= 1.000000 
-dualbound = 2750316.400257, lowerbound=1185196.400257, norm of subgrad 1089.327040	dualbound = 2750316.400257, lowerbound=1185196.400257, norm of subgrad 40.190727	 stepsize= 1.000000 
-dualbound = 2750437.398800, lowerbound=1188030.398800, norm of subgrad 1090.650906	dualbound = 2750437.398800, lowerbound=1188030.398800, norm of subgrad 40.124787	 stepsize= 1.000000 
-dualbound = 2750603.464388, lowerbound=1183218.464388, norm of subgrad 1088.444516	dualbound = 2750603.464388, lowerbound=1183218.464388, norm of subgrad 40.731629	 stepsize= 1.000000 
-dualbound = 2750755.574656, lowerbound=1183235.574656, norm of subgrad 1088.436298	dualbound = 2750755.574656, lowerbound=1183235.574656, norm of subgrad 40.126179	 stepsize= 1.000000 
-dualbound = 2750945.204633, lowerbound=1186836.204633, norm of subgrad 1090.067982	dualbound = 2750945.204633, lowerbound=1186836.204633, norm of subgrad 40.020370	 stepsize= 1.000000 
-dualbound = 2751104.860383, lowerbound=1183680.860383, norm of subgrad 1088.631646	dualbound = 2751104.860383, lowerbound=1183680.860383, norm of subgrad 39.970686	 stepsize= 1.000000 
-dualbound = 2751231.144089, lowerbound=1183622.144089, norm of subgrad 1088.630398	dualbound = 2751231.144089, lowerbound=1183622.144089, norm of subgrad 40.252748	 stepsize= 1.000000 
-dualbound = 2751420.748557, lowerbound=1184651.748557, norm of subgrad 1089.099972	dualbound = 2751420.748557, lowerbound=1184651.748557, norm of subgrad 40.946361	 stepsize= 1.000000 
-dualbound = 2751574.058697, lowerbound=1184499.058697, norm of subgrad 1089.014260	dualbound = 2751574.058697, lowerbound=1184499.058697, norm of subgrad 40.078799	 stepsize= 1.000000 
-dualbound = 2751708.351361, lowerbound=1188243.351361, norm of subgrad 1090.721024	dualbound = 2751708.351361, lowerbound=1188243.351361, norm of subgrad 39.538496	 stepsize= 1.000000 
-dualbound = 2751900.690344, lowerbound=1186112.690344, norm of subgrad 1089.747535	dualbound = 2751900.690344, lowerbound=1186112.690344, norm of subgrad 40.365071	 stepsize= 1.000000 
-dualbound = 2752030.085240, lowerbound=1184634.085240, norm of subgrad 1089.092322	dualbound = 2752030.085240, lowerbound=1184634.085240, norm of subgrad 40.216848	 stepsize= 1.000000 
-dualbound = 2752216.327219, lowerbound=1184489.327219, norm of subgrad 1088.983621	dualbound = 2752216.327219, lowerbound=1184489.327219, norm of subgrad 39.777405	 stepsize= 1.000000 
-dualbound = 2752367.243531, lowerbound=1188949.243531, norm of subgrad 1091.063813	dualbound = 2752367.243531, lowerbound=1188949.243531, norm of subgrad 40.273022	 stepsize= 1.000000 
-dualbound = 2752540.724677, lowerbound=1184137.724677, norm of subgrad 1088.824928	dualbound = 2752540.724677, lowerbound=1184137.724677, norm of subgrad 39.692331	 stepsize= 1.000000 
-dualbound = 2752699.825189, lowerbound=1186110.825189, norm of subgrad 1089.735668	dualbound = 2752699.825189, lowerbound=1186110.825189, norm of subgrad 39.649723	 stepsize= 1.000000 
-dualbound = 2752839.509040, lowerbound=1181635.509040, norm of subgrad 1087.692286	dualbound = 2752839.509040, lowerbound=1181635.509040, norm of subgrad 39.732655	 stepsize= 1.000000 
-dualbound = 2753005.612200, lowerbound=1184656.612200, norm of subgrad 1089.090727	dualbound = 2753005.612200, lowerbound=1184656.612200, norm of subgrad 40.349760	 stepsize= 1.000000 
-dualbound = 2753181.211652, lowerbound=1188767.211652, norm of subgrad 1090.977640	dualbound = 2753181.211652, lowerbound=1188767.211652, norm of subgrad 40.504314	 stepsize= 1.000000 
-dualbound = 2753314.691806, lowerbound=1184931.691806, norm of subgrad 1089.202778	dualbound = 2753314.691806, lowerbound=1184931.691806, norm of subgrad 39.553510	 stepsize= 1.000000 
-dualbound = 2753489.473704, lowerbound=1187052.473704, norm of subgrad 1090.190109	dualbound = 2753489.473704, lowerbound=1187052.473704, norm of subgrad 40.457161	 stepsize= 1.000000 
-dualbound = 2753601.322145, lowerbound=1184408.322145, norm of subgrad 1089.003362	dualbound = 2753601.322145, lowerbound=1184408.322145, norm of subgrad 40.396144	 stepsize= 1.000000 
-dualbound = 2753791.360435, lowerbound=1186170.360435, norm of subgrad 1089.774913	dualbound = 2753791.360435, lowerbound=1186170.360435, norm of subgrad 40.361346	 stepsize= 1.000000 
-dualbound = 2753951.582163, lowerbound=1183690.582163, norm of subgrad 1088.620954	dualbound = 2753951.582163, lowerbound=1183690.582163, norm of subgrad 39.562883	 stepsize= 1.000000 
-dualbound = 2754118.798453, lowerbound=1187141.798453, norm of subgrad 1090.218693	dualbound = 2754118.798453, lowerbound=1187141.798453, norm of subgrad 40.027694	 stepsize= 1.000000 
-dualbound = 2754274.004399, lowerbound=1185399.004399, norm of subgrad 1089.419113	dualbound = 2754274.004399, lowerbound=1185399.004399, norm of subgrad 39.877386	 stepsize= 1.000000 
-dualbound = 2754406.637403, lowerbound=1188551.637403, norm of subgrad 1090.871504	dualbound = 2754406.637403, lowerbound=1188551.637403, norm of subgrad 39.769750	 stepsize= 1.000000 
-dualbound = 2754584.772022, lowerbound=1182874.772022, norm of subgrad 1088.259056	dualbound = 2754584.772022, lowerbound=1182874.772022, norm of subgrad 40.138941	 stepsize= 1.000000 
-dualbound = 2754724.756147, lowerbound=1187287.756147, norm of subgrad 1090.316356	dualbound = 2754724.756147, lowerbound=1187287.756147, norm of subgrad 40.521403	 stepsize= 1.000000 
-dualbound = 2754897.327448, lowerbound=1182596.327448, norm of subgrad 1088.132495	dualbound = 2754897.327448, lowerbound=1182596.327448, norm of subgrad 40.106998	 stepsize= 1.000000 
-dualbound = 2755051.905773, lowerbound=1186178.905773, norm of subgrad 1089.780210	dualbound = 2755051.905773, lowerbound=1186178.905773, norm of subgrad 39.957206	 stepsize= 1.000000 
-dualbound = 2755214.497825, lowerbound=1181321.497825, norm of subgrad 1087.531378	dualbound = 2755214.497825, lowerbound=1181321.497825, norm of subgrad 39.567563	 stepsize= 1.000000 
-dualbound = 2755396.844422, lowerbound=1189147.844422, norm of subgrad 1091.112663	dualbound = 2755396.844422, lowerbound=1189147.844422, norm of subgrad 39.513879	 stepsize= 1.000000 
-dualbound = 2755527.737179, lowerbound=1185911.737179, norm of subgrad 1089.657165	dualbound = 2755527.737179, lowerbound=1185911.737179, norm of subgrad 39.647103	 stepsize= 1.000000 
-dualbound = 2755690.840072, lowerbound=1191394.840072, norm of subgrad 1092.177568	dualbound = 2755690.840072, lowerbound=1191394.840072, norm of subgrad 40.250502	 stepsize= 1.000000 
-dualbound = 2755855.182845, lowerbound=1184743.182845, norm of subgrad 1089.130930	dualbound = 2755855.182845, lowerbound=1184743.182845, norm of subgrad 40.340337	 stepsize= 1.000000 
-dualbound = 2756009.871781, lowerbound=1185323.871781, norm of subgrad 1089.381876	dualbound = 2756009.871781, lowerbound=1185323.871781, norm of subgrad 39.795589	 stepsize= 1.000000 
-dualbound = 2756172.322691, lowerbound=1185242.322691, norm of subgrad 1089.354085	dualbound = 2756172.322691, lowerbound=1185242.322691, norm of subgrad 40.155335	 stepsize= 1.000000 
-dualbound = 2756314.601063, lowerbound=1184311.601063, norm of subgrad 1088.924516	dualbound = 2756314.601063, lowerbound=1184311.601063, norm of subgrad 39.840662	 stepsize= 1.000000 
-dualbound = 2756479.638117, lowerbound=1191176.638117, norm of subgrad 1092.041500	dualbound = 2756479.638117, lowerbound=1191176.638117, norm of subgrad 39.281510	 stepsize= 1.000000 
-dualbound = 2756651.075744, lowerbound=1187010.075744, norm of subgrad 1090.143603	dualbound = 2756651.075744, lowerbound=1187010.075744, norm of subgrad 39.679184	 stepsize= 1.000000 
-dualbound = 2756784.250293, lowerbound=1183985.250293, norm of subgrad 1088.763175	dualbound = 2756784.250293, lowerbound=1183985.250293, norm of subgrad 39.410336	 stepsize= 1.000000 
-dualbound = 2756941.752414, lowerbound=1187842.752414, norm of subgrad 1090.550665	dualbound = 2756941.752414, lowerbound=1187842.752414, norm of subgrad 40.193309	 stepsize= 1.000000 
-dualbound = 2757082.277123, lowerbound=1183378.277123, norm of subgrad 1088.495419	dualbound = 2757082.277123, lowerbound=1183378.277123, norm of subgrad 39.806089	 stepsize= 1.000000 
-dualbound = 2757245.653414, lowerbound=1185344.653414, norm of subgrad 1089.424001	dualbound = 2757245.653414, lowerbound=1185344.653414, norm of subgrad 40.784510	 stepsize= 1.000000 
-dualbound = 2757407.948553, lowerbound=1188057.948553, norm of subgrad 1090.628694	dualbound = 2757407.948553, lowerbound=1188057.948553, norm of subgrad 39.689988	 stepsize= 1.000000 
-dualbound = 2757575.231534, lowerbound=1181600.231534, norm of subgrad 1087.682505	dualbound = 2757575.231534, lowerbound=1181600.231534, norm of subgrad 40.252739	 stepsize= 1.000000 
-dualbound = 2757727.858124, lowerbound=1188761.858124, norm of subgrad 1090.984353	dualbound = 2757727.858124, lowerbound=1188761.858124, norm of subgrad 40.467599	 stepsize= 1.000000 
-dualbound = 2757875.943993, lowerbound=1186098.943993, norm of subgrad 1089.734804	dualbound = 2757875.943993, lowerbound=1186098.943993, norm of subgrad 39.636926	 stepsize= 1.000000 
-dualbound = 2758063.567569, lowerbound=1187871.567569, norm of subgrad 1090.548288	dualbound = 2758063.567569, lowerbound=1187871.567569, norm of subgrad 40.145032	 stepsize= 1.000000 
-dualbound = 2758191.684935, lowerbound=1183557.684935, norm of subgrad 1088.562669	dualbound = 2758191.684935, lowerbound=1183557.684935, norm of subgrad 39.231586	 stepsize= 1.000000 
-dualbound = 2758369.616708, lowerbound=1183313.616708, norm of subgrad 1088.460664	dualbound = 2758369.616708, lowerbound=1183313.616708, norm of subgrad 40.136415	 stepsize= 1.000000 
-dualbound = 2758516.546181, lowerbound=1187110.546181, norm of subgrad 1090.212157	dualbound = 2758516.546181, lowerbound=1187110.546181, norm of subgrad 39.986616	 stepsize= 1.000000 
-dualbound = 2758692.283891, lowerbound=1184520.283891, norm of subgrad 1089.028137	dualbound = 2758692.283891, lowerbound=1184520.283891, norm of subgrad 40.468972	 stepsize= 1.000000 
-dualbound = 2758839.569844, lowerbound=1186841.569844, norm of subgrad 1090.095670	dualbound = 2758839.569844, lowerbound=1186841.569844, norm of subgrad 40.178178	 stepsize= 1.000000 
-dualbound = 2758996.653309, lowerbound=1186909.653309, norm of subgrad 1090.091580	dualbound = 2758996.653309, lowerbound=1186909.653309, norm of subgrad 39.332982	 stepsize= 1.000000 
-dualbound = 2759165.313162, lowerbound=1187429.313162, norm of subgrad 1090.395943	dualbound = 2759165.313162, lowerbound=1187429.313162, norm of subgrad 41.263299	 stepsize= 1.000000 
-dualbound = 2759286.793001, lowerbound=1186597.793001, norm of subgrad 1089.987978	dualbound = 2759286.793001, lowerbound=1186597.793001, norm of subgrad 39.968486	 stepsize= 1.000000 
-dualbound = 2759443.895212, lowerbound=1189537.895212, norm of subgrad 1091.340412	dualbound = 2759443.895212, lowerbound=1189537.895212, norm of subgrad 40.535197	 stepsize= 1.000000 
-dualbound = 2759620.445945, lowerbound=1181578.445945, norm of subgrad 1087.688579	dualbound = 2759620.445945, lowerbound=1181578.445945, norm of subgrad 40.798906	 stepsize= 1.000000 
-dualbound = 2759757.250332, lowerbound=1188960.250332, norm of subgrad 1091.046860	dualbound = 2759757.250332, lowerbound=1188960.250332, norm of subgrad 39.494359	 stepsize= 1.000000 
-dualbound = 2759958.870374, lowerbound=1180462.870374, norm of subgrad 1087.172880	dualbound = 2759958.870374, lowerbound=1180462.870374, norm of subgrad 41.031939	 stepsize= 1.000000 
-dualbound = 2760059.066404, lowerbound=1191070.066404, norm of subgrad 1092.054058	dualbound = 2760059.066404, lowerbound=1191070.066404, norm of subgrad 40.152161	 stepsize= 1.000000 
-dualbound = 2760227.599321, lowerbound=1183942.599321, norm of subgrad 1088.749098	dualbound = 2760227.599321, lowerbound=1183942.599321, norm of subgrad 40.006661	 stepsize= 1.000000 
-dualbound = 2760416.522276, lowerbound=1189137.522276, norm of subgrad 1091.112516	dualbound = 2760416.522276, lowerbound=1189137.522276, norm of subgrad 39.723078	 stepsize= 1.000000 
-dualbound = 2760587.204834, lowerbound=1185473.204834, norm of subgrad 1089.432056	dualbound = 2760587.204834, lowerbound=1185473.204834, norm of subgrad 39.492817	 stepsize= 1.000000 
-dualbound = 2760736.235504, lowerbound=1186721.235504, norm of subgrad 1090.029924	dualbound = 2760736.235504, lowerbound=1186721.235504, norm of subgrad 39.912788	 stepsize= 1.000000 
-dualbound = 2760889.384624, lowerbound=1190465.384624, norm of subgrad 1091.739614	dualbound = 2760889.384624, lowerbound=1190465.384624, norm of subgrad 39.788806	 stepsize= 1.000000 
-dualbound = 2761049.640610, lowerbound=1181271.640610, norm of subgrad 1087.515352	dualbound = 2761049.640610, lowerbound=1181271.640610, norm of subgrad 39.727270	 stepsize= 1.000000 
-dualbound = 2761217.718764, lowerbound=1185674.718764, norm of subgrad 1089.533257	dualbound = 2761217.718764, lowerbound=1185674.718764, norm of subgrad 39.699851	 stepsize= 1.000000 
-dualbound = 2761346.289555, lowerbound=1188872.289555, norm of subgrad 1091.057418	dualbound = 2761346.289555, lowerbound=1188872.289555, norm of subgrad 40.774634	 stepsize= 1.000000 
-dualbound = 2761500.036978, lowerbound=1184183.036978, norm of subgrad 1088.866400	dualbound = 2761500.036978, lowerbound=1184183.036978, norm of subgrad 40.009342	 stepsize= 1.000000 
-dualbound = 2761684.584338, lowerbound=1186625.584338, norm of subgrad 1089.982837	dualbound = 2761684.584338, lowerbound=1186625.584338, norm of subgrad 40.268441	 stepsize= 1.000000 
-dualbound = 2761794.042845, lowerbound=1187788.042845, norm of subgrad 1090.555383	dualbound = 2761794.042845, lowerbound=1187788.042845, norm of subgrad 40.403694	 stepsize= 1.000000 
-dualbound = 2761978.736318, lowerbound=1189810.736318, norm of subgrad 1091.444793	dualbound = 2761978.736318, lowerbound=1189810.736318, norm of subgrad 40.319889	 stepsize= 1.000000 
-dualbound = 2762163.389040, lowerbound=1184928.389040, norm of subgrad 1089.204934	dualbound = 2762163.389040, lowerbound=1184928.389040, norm of subgrad 40.294574	 stepsize= 1.000000 
-dualbound = 2762300.152859, lowerbound=1183523.152859, norm of subgrad 1088.557832	dualbound = 2762300.152859, lowerbound=1183523.152859, norm of subgrad 39.645477	 stepsize= 1.000000 
-dualbound = 2762470.695952, lowerbound=1186503.695952, norm of subgrad 1089.936097	dualbound = 2762470.695952, lowerbound=1186503.695952, norm of subgrad 40.342820	 stepsize= 1.000000 
-dualbound = 2762620.807135, lowerbound=1186216.807135, norm of subgrad 1089.757683	dualbound = 2762620.807135, lowerbound=1186216.807135, norm of subgrad 38.795762	 stepsize= 1.000000 
-dualbound = 2762806.317941, lowerbound=1189597.317941, norm of subgrad 1091.318156	dualbound = 2762806.317941, lowerbound=1189597.317941, norm of subgrad 39.541254	 stepsize= 1.000000 
-dualbound = 2762945.497242, lowerbound=1187979.497242, norm of subgrad 1090.565678	dualbound = 2762945.497242, lowerbound=1187979.497242, norm of subgrad 38.641678	 stepsize= 1.000000 
-dualbound = 2763107.240010, lowerbound=1189558.240010, norm of subgrad 1091.326367	dualbound = 2763107.240010, lowerbound=1189558.240010, norm of subgrad 39.959264	 stepsize= 1.000000 
-dualbound = 2763218.568745, lowerbound=1186496.568745, norm of subgrad 1089.943379	dualbound = 2763218.568745, lowerbound=1186496.568745, norm of subgrad 39.891462	 stepsize= 1.000000 
-dualbound = 2763374.395515, lowerbound=1188030.395515, norm of subgrad 1090.671534	dualbound = 2763374.395515, lowerbound=1188030.395515, norm of subgrad 41.107503	 stepsize= 1.000000 
-dualbound = 2763536.703077, lowerbound=1181938.703077, norm of subgrad 1087.857851	dualbound = 2763536.703077, lowerbound=1181938.703077, norm of subgrad 40.722323	 stepsize= 1.000000 
-dualbound = 2763687.964019, lowerbound=1189651.964019, norm of subgrad 1091.377553	dualbound = 2763687.964019, lowerbound=1189651.964019, norm of subgrad 40.053226	 stepsize= 1.000000 
-dualbound = 2763870.056653, lowerbound=1183626.056653, norm of subgrad 1088.588562	dualbound = 2763870.056653, lowerbound=1183626.056653, norm of subgrad 39.762956	 stepsize= 1.000000 
-dualbound = 2764042.986145, lowerbound=1188992.986145, norm of subgrad 1091.076068	dualbound = 2764042.986145, lowerbound=1188992.986145, norm of subgrad 40.335214	 stepsize= 1.000000 
-dualbound = 2764184.174090, lowerbound=1188884.174090, norm of subgrad 1090.991372	dualbound = 2764184.174090, lowerbound=1188884.174090, norm of subgrad 38.976762	 stepsize= 1.000000 
-dualbound = 2764353.935450, lowerbound=1185112.935450, norm of subgrad 1089.268073	dualbound = 2764353.935450, lowerbound=1185112.935450, norm of subgrad 39.519127	 stepsize= 1.000000 
-dualbound = 2764485.635636, lowerbound=1186437.635636, norm of subgrad 1089.887442	dualbound = 2764485.635636, lowerbound=1186437.635636, norm of subgrad 39.353528	 stepsize= 1.000000 
-dualbound = 2764660.991864, lowerbound=1185020.991864, norm of subgrad 1089.235049	dualbound = 2764660.991864, lowerbound=1185020.991864, norm of subgrad 39.841639	 stepsize= 1.000000 
-dualbound = 2764809.874966, lowerbound=1187829.874966, norm of subgrad 1090.514042	dualbound = 2764809.874966, lowerbound=1187829.874966, norm of subgrad 39.241344	 stepsize= 1.000000 
-dualbound = 2764976.938269, lowerbound=1186296.938269, norm of subgrad 1089.845832	dualbound = 2764976.938269, lowerbound=1186296.938269, norm of subgrad 40.423549	 stepsize= 1.000000 
-dualbound = 2765115.601063, lowerbound=1191905.601063, norm of subgrad 1092.403589	dualbound = 2765115.601063, lowerbound=1191905.601063, norm of subgrad 39.732390	 stepsize= 1.000000 
-dualbound = 2765266.163172, lowerbound=1188091.163172, norm of subgrad 1090.662717	dualbound = 2765266.163172, lowerbound=1188091.163172, norm of subgrad 40.056986	 stepsize= 1.000000 
-dualbound = 2765443.784410, lowerbound=1184701.784410, norm of subgrad 1089.104120	dualbound = 2765443.784410, lowerbound=1184701.784410, norm of subgrad 40.294184	 stepsize= 1.000000 
-dualbound = 2765584.465276, lowerbound=1188711.465276, norm of subgrad 1090.955758	dualbound = 2765584.465276, lowerbound=1188711.465276, norm of subgrad 40.170647	 stepsize= 1.000000 
-dualbound = 2765738.788058, lowerbound=1186399.788058, norm of subgrad 1089.900816	dualbound = 2765738.788058, lowerbound=1186399.788058, norm of subgrad 40.476200	 stepsize= 1.000000 
-dualbound = 2765894.175226, lowerbound=1187506.175226, norm of subgrad 1090.384875	dualbound = 2765894.175226, lowerbound=1187506.175226, norm of subgrad 39.854575	 stepsize= 1.000000 
-dualbound = 2766046.561525, lowerbound=1189719.561525, norm of subgrad 1091.409438	dualbound = 2766046.561525, lowerbound=1189719.561525, norm of subgrad 40.092222	 stepsize= 1.000000 
-dualbound = 2766221.922679, lowerbound=1182493.922679, norm of subgrad 1088.077168	dualbound = 2766221.922679, lowerbound=1182493.922679, norm of subgrad 39.916928	 stepsize= 1.000000 
-dualbound = 2766373.248054, lowerbound=1189872.248054, norm of subgrad 1091.478927	dualbound = 2766373.248054, lowerbound=1189872.248054, norm of subgrad 40.066512	 stepsize= 1.000000 
-dualbound = 2766536.294876, lowerbound=1182586.294876, norm of subgrad 1088.142589	dualbound = 2766536.294876, lowerbound=1182586.294876, norm of subgrad 40.386221	 stepsize= 1.000000 
-dualbound = 2766687.896081, lowerbound=1187838.896081, norm of subgrad 1090.552106	dualbound = 2766687.896081, lowerbound=1187838.896081, norm of subgrad 40.206980	 stepsize= 1.000000 
-dualbound = 2766845.667305, lowerbound=1184580.667305, norm of subgrad 1089.030150	dualbound = 2766845.667305, lowerbound=1184580.667305, norm of subgrad 39.544547	 stepsize= 1.000000 
-dualbound = 2767000.380963, lowerbound=1189132.380963, norm of subgrad 1091.172938	dualbound = 2767000.380963, lowerbound=1189132.380963, norm of subgrad 40.996508	 stepsize= 1.000000 
-dualbound = 2767132.920508, lowerbound=1184237.920508, norm of subgrad 1088.870020	dualbound = 2767132.920508, lowerbound=1184237.920508, norm of subgrad 39.147663	 stepsize= 1.000000 
-dualbound = 2767344.467414, lowerbound=1186126.467414, norm of subgrad 1089.745598	dualbound = 2767344.467414, lowerbound=1186126.467414, norm of subgrad 40.380031	 stepsize= 1.000000 
-dualbound = 2767451.938926, lowerbound=1186209.938926, norm of subgrad 1089.807294	dualbound = 2767451.938926, lowerbound=1186209.938926, norm of subgrad 39.717396	 stepsize= 1.000000 
-dualbound = 2767630.587825, lowerbound=1187388.587825, norm of subgrad 1090.353423	dualbound = 2767630.587825, lowerbound=1187388.587825, norm of subgrad 40.751060	 stepsize= 1.000000 
-dualbound = 2767790.876679, lowerbound=1188610.876679, norm of subgrad 1090.872530	dualbound = 2767790.876679, lowerbound=1188610.876679, norm of subgrad 39.399097	 stepsize= 1.000000 
-dualbound = 2767936.840431, lowerbound=1187957.840431, norm of subgrad 1090.613974	dualbound = 2767936.840431, lowerbound=1187957.840431, norm of subgrad 40.335639	 stepsize= 1.000000 
-dualbound = 2768081.992891, lowerbound=1185441.992891, norm of subgrad 1089.465003	dualbound = 2768081.992891, lowerbound=1185441.992891, norm of subgrad 40.461741	 stepsize= 1.000000 
-dualbound = 2768232.658851, lowerbound=1191358.658851, norm of subgrad 1092.160088	dualbound = 2768232.658851, lowerbound=1191358.658851, norm of subgrad 40.070762	 stepsize= 1.000000 
-dualbound = 2768407.485602, lowerbound=1185865.485602, norm of subgrad 1089.657967	dualbound = 2768407.485602, lowerbound=1185865.485602, norm of subgrad 40.790032	 stepsize= 1.000000 
-dualbound = 2768526.641461, lowerbound=1187069.641461, norm of subgrad 1090.193855	dualbound = 2768526.641461, lowerbound=1187069.641461, norm of subgrad 39.650421	 stepsize= 1.000000 
-dualbound = 2768705.730528, lowerbound=1187568.730528, norm of subgrad 1090.469042	dualbound = 2768705.730528, lowerbound=1187568.730528, norm of subgrad 41.630386	 stepsize= 1.000000 
-dualbound = 2768830.971740, lowerbound=1189561.971740, norm of subgrad 1091.332659	dualbound = 2768830.971740, lowerbound=1189561.971740, norm of subgrad 39.626269	 stepsize= 1.000000 
-dualbound = 2769041.392340, lowerbound=1187069.392340, norm of subgrad 1090.138245	dualbound = 2769041.392340, lowerbound=1187069.392340, norm of subgrad 39.273663	 stepsize= 1.000000 
-dualbound = 2769185.019530, lowerbound=1188354.019530, norm of subgrad 1090.774963	dualbound = 2769185.019530, lowerbound=1188354.019530, norm of subgrad 39.744524	 stepsize= 1.000000 
-dualbound = 2769307.913490, lowerbound=1183602.913490, norm of subgrad 1088.612380	dualbound = 2769307.913490, lowerbound=1183602.913490, norm of subgrad 39.961156	 stepsize= 1.000000 
-dualbound = 2769496.278922, lowerbound=1189548.278922, norm of subgrad 1091.312640	dualbound = 2769496.278922, lowerbound=1189548.278922, norm of subgrad 40.042046	 stepsize= 1.000000 
-dualbound = 2769631.380740, lowerbound=1185553.380740, norm of subgrad 1089.493176	dualbound = 2769631.380740, lowerbound=1185553.380740, norm of subgrad 39.712741	 stepsize= 1.000000 
-dualbound = 2769823.886846, lowerbound=1190659.886846, norm of subgrad 1091.805792	dualbound = 2769823.886846, lowerbound=1190659.886846, norm of subgrad 39.654837	 stepsize= 1.000000 
-dualbound = 2769949.353943, lowerbound=1187622.353943, norm of subgrad 1090.444567	dualbound = 2769949.353943, lowerbound=1187622.353943, norm of subgrad 39.654345	 stepsize= 1.000000 
-dualbound = 2770117.432803, lowerbound=1187835.432803, norm of subgrad 1090.519799	dualbound = 2770117.432803, lowerbound=1187835.432803, norm of subgrad 39.573714	 stepsize= 1.000000 
-dualbound = 2770248.424598, lowerbound=1184600.424598, norm of subgrad 1089.060340	dualbound = 2770248.424598, lowerbound=1184600.424598, norm of subgrad 39.786829	 stepsize= 1.000000 
-dualbound = 2770429.674696, lowerbound=1182659.674696, norm of subgrad 1088.175388	dualbound = 2770429.674696, lowerbound=1182659.674696, norm of subgrad 40.586329	 stepsize= 1.000000 
-dualbound = 2770554.497072, lowerbound=1190816.497072, norm of subgrad 1091.926965	dualbound = 2770554.497072, lowerbound=1190816.497072, norm of subgrad 40.159960	 stepsize= 1.000000 
-dualbound = 2770732.573301, lowerbound=1187907.573301, norm of subgrad 1090.573048	dualbound = 2770732.573301, lowerbound=1187907.573301, norm of subgrad 40.250171	 stepsize= 1.000000 
-dualbound = 2770879.835494, lowerbound=1189010.835494, norm of subgrad 1091.081498	dualbound = 2770879.835494, lowerbound=1189010.835494, norm of subgrad 39.940734	 stepsize= 1.000000 
-dualbound = 2771046.149506, lowerbound=1185076.149506, norm of subgrad 1089.286991	dualbound = 2771046.149506, lowerbound=1185076.149506, norm of subgrad 40.451378	 stepsize= 1.000000 
-dualbound = 2771191.039611, lowerbound=1188614.039611, norm of subgrad 1090.918897	dualbound = 2771191.039611, lowerbound=1188614.039611, norm of subgrad 40.433774	 stepsize= 1.000000 
-dualbound = 2771341.806680, lowerbound=1187089.806680, norm of subgrad 1090.231079	dualbound = 2771341.806680, lowerbound=1187089.806680, norm of subgrad 40.801557	 stepsize= 1.000000 
-dualbound = 2771492.526150, lowerbound=1188789.526150, norm of subgrad 1090.975035	dualbound = 2771492.526150, lowerbound=1188789.526150, norm of subgrad 39.846198	 stepsize= 1.000000 
-dualbound = 2771639.849454, lowerbound=1189113.849454, norm of subgrad 1091.114499	dualbound = 2771639.849454, lowerbound=1189113.849454, norm of subgrad 39.551527	 stepsize= 1.000000 
-dualbound = 2771841.352846, lowerbound=1188640.352846, norm of subgrad 1090.920874	dualbound = 2771841.352846, lowerbound=1188640.352846, norm of subgrad 40.859557	 stepsize= 1.000000 
-dualbound = 2771960.314636, lowerbound=1187982.314636, norm of subgrad 1090.616942	dualbound = 2771960.314636, lowerbound=1187982.314636, norm of subgrad 39.773883	 stepsize= 1.000000 
-dualbound = 2772098.344919, lowerbound=1189952.344919, norm of subgrad 1091.551806	dualbound = 2772098.344919, lowerbound=1189952.344919, norm of subgrad 40.878237	 stepsize= 1.000000 
-dualbound = 2772248.303141, lowerbound=1180550.303141, norm of subgrad 1087.219528	dualbound = 2772248.303141, lowerbound=1180550.303141, norm of subgrad 40.570411	 stepsize= 1.000000 
-dualbound = 2772426.011284, lowerbound=1190899.011284, norm of subgrad 1091.947806	dualbound = 2772426.011284, lowerbound=1190899.011284, norm of subgrad 40.357256	 stepsize= 1.000000 
-dualbound = 2772592.373993, lowerbound=1189739.373993, norm of subgrad 1091.441420	dualbound = 2772592.373993, lowerbound=1189739.373993, norm of subgrad 40.882303	 stepsize= 1.000000 
-dualbound = 2772743.412174, lowerbound=1188690.412174, norm of subgrad 1090.940609	dualbound = 2772743.412174, lowerbound=1188690.412174, norm of subgrad 40.150195	 stepsize= 1.000000 
-dualbound = 2772909.649897, lowerbound=1185111.649897, norm of subgrad 1089.297319	dualbound = 2772909.649897, lowerbound=1185111.649897, norm of subgrad 40.289424	 stepsize= 1.000000 
-dualbound = 2773032.810262, lowerbound=1189028.810262, norm of subgrad 1091.086527	dualbound = 2773032.810262, lowerbound=1189028.810262, norm of subgrad 39.549467	 stepsize= 1.000000 
-dualbound = 2773233.172279, lowerbound=1189926.172279, norm of subgrad 1091.486222	dualbound = 2773233.172279, lowerbound=1189926.172279, norm of subgrad 40.204005	 stepsize= 1.000000 
-dualbound = 2773347.124773, lowerbound=1188827.124773, norm of subgrad 1091.023430	dualbound = 2773347.124773, lowerbound=1188827.124773, norm of subgrad 40.236209	 stepsize= 1.000000 
-dualbound = 2773521.067064, lowerbound=1189463.067064, norm of subgrad 1091.296049	dualbound = 2773521.067064, lowerbound=1189463.067064, norm of subgrad 40.471500	 stepsize= 1.000000 
-dualbound = 2773679.507003, lowerbound=1182558.507003, norm of subgrad 1088.114198	dualbound = 2773679.507003, lowerbound=1182558.507003, norm of subgrad 39.905387	 stepsize= 1.000000 
-dualbound = 2773858.072400, lowerbound=1192881.072400, norm of subgrad 1092.822068	dualbound = 2773858.072400, lowerbound=1192881.072400, norm of subgrad 39.466003	 stepsize= 1.000000 
-dualbound = 2774012.105556, lowerbound=1181850.105556, norm of subgrad 1087.761511	dualbound = 2774012.105556, lowerbound=1181850.105556, norm of subgrad 39.102854	 stepsize= 1.000000 
-dualbound = 2774164.388352, lowerbound=1188916.388352, norm of subgrad 1091.035924	dualbound = 2774164.388352, lowerbound=1188916.388352, norm of subgrad 39.940991	 stepsize= 1.000000 
-dualbound = 2774300.178383, lowerbound=1189712.178383, norm of subgrad 1091.389105	dualbound = 2774300.178383, lowerbound=1189712.178383, norm of subgrad 39.418143	 stepsize= 1.000000 
-dualbound = 2774473.747414, lowerbound=1191351.747414, norm of subgrad 1092.137696	dualbound = 2774473.747414, lowerbound=1191351.747414, norm of subgrad 39.831759	 stepsize= 1.000000 
-dualbound = 2774625.267470, lowerbound=1188054.267470, norm of subgrad 1090.627923	dualbound = 2774625.267470, lowerbound=1188054.267470, norm of subgrad 39.579288	 stepsize= 1.000000 
-dualbound = 2774772.289692, lowerbound=1185745.289692, norm of subgrad 1089.610155	dualbound = 2774772.289692, lowerbound=1185745.289692, norm of subgrad 40.645076	 stepsize= 1.000000 
-dualbound = 2774909.695392, lowerbound=1193996.695392, norm of subgrad 1093.379941	dualbound = 2774909.695392, lowerbound=1193996.695392, norm of subgrad 40.254263	 stepsize= 1.000000 
-dualbound = 2775065.538106, lowerbound=1189097.538106, norm of subgrad 1091.127187	dualbound = 2775065.538106, lowerbound=1189097.538106, norm of subgrad 40.209983	 stepsize= 1.000000 
-dualbound = 2775239.540209, lowerbound=1189747.540209, norm of subgrad 1091.403015	dualbound = 2775239.540209, lowerbound=1189747.540209, norm of subgrad 39.837195	 stepsize= 1.000000 
-dualbound = 2775405.146728, lowerbound=1188120.146728, norm of subgrad 1090.663627	dualbound = 2775405.146728, lowerbound=1188120.146728, norm of subgrad 39.907474	 stepsize= 1.000000 
-dualbound = 2775560.515457, lowerbound=1187501.515457, norm of subgrad 1090.343760	dualbound = 2775560.515457, lowerbound=1187501.515457, norm of subgrad 38.773299	 stepsize= 1.000000 
-dualbound = 2775695.037351, lowerbound=1188074.037351, norm of subgrad 1090.668161	dualbound = 2775695.037351, lowerbound=1188074.037351, norm of subgrad 40.218427	 stepsize= 1.000000 
-dualbound = 2775838.999279, lowerbound=1186994.999279, norm of subgrad 1090.149072	dualbound = 2775838.999279, lowerbound=1186994.999279, norm of subgrad 39.673189	 stepsize= 1.000000 
-dualbound = 2776014.686836, lowerbound=1182248.686836, norm of subgrad 1087.979635	dualbound = 2776014.686836, lowerbound=1182248.686836, norm of subgrad 40.332215	 stepsize= 1.000000 
-dualbound = 2776143.001461, lowerbound=1190955.001461, norm of subgrad 1091.961538	dualbound = 2776143.001461, lowerbound=1190955.001461, norm of subgrad 39.412113	 stepsize= 1.000000 
-dualbound = 2776306.003078, lowerbound=1189968.003078, norm of subgrad 1091.541572	dualbound = 2776306.003078, lowerbound=1189968.003078, norm of subgrad 40.718566	 stepsize= 1.000000 
-dualbound = 2776451.585362, lowerbound=1190071.585362, norm of subgrad 1091.578025	dualbound = 2776451.585362, lowerbound=1190071.585362, norm of subgrad 40.206744	 stepsize= 1.000000 
-dualbound = 2776644.506243, lowerbound=1187109.506243, norm of subgrad 1090.202048	dualbound = 2776644.506243, lowerbound=1187109.506243, norm of subgrad 40.297902	 stepsize= 1.000000 
-dualbound = 2776768.865680, lowerbound=1188598.865680, norm of subgrad 1090.908276	dualbound = 2776768.865680, lowerbound=1188598.865680, norm of subgrad 40.079414	 stepsize= 1.000000 
-dualbound = 2776908.639504, lowerbound=1189451.639504, norm of subgrad 1091.327009	dualbound = 2776908.639504, lowerbound=1189451.639504, norm of subgrad 41.021626	 stepsize= 1.000000 
-dualbound = 2777063.547188, lowerbound=1187689.547188, norm of subgrad 1090.479962	dualbound = 2777063.547188, lowerbound=1187689.547188, norm of subgrad 40.148570	 stepsize= 1.000000 
-dualbound = 2777223.882407, lowerbound=1189379.882407, norm of subgrad 1091.288176	dualbound = 2777223.882407, lowerbound=1189379.882407, norm of subgrad 41.113687	 stepsize= 1.000000 
-dualbound = 2777347.987361, lowerbound=1190520.987361, norm of subgrad 1091.796221	dualbound = 2777347.987361, lowerbound=1190520.987361, norm of subgrad 40.275364	 stepsize= 1.000000 
-dualbound = 2777548.527097, lowerbound=1186054.527097, norm of subgrad 1089.702495	dualbound = 2777548.527097, lowerbound=1186054.527097, norm of subgrad 39.969235	 stepsize= 1.000000 
-dualbound = 2777725.405741, lowerbound=1189083.405741, norm of subgrad 1091.092299	dualbound = 2777725.405741, lowerbound=1189083.405741, norm of subgrad 39.697338	 stepsize= 1.000000 
-dualbound = 2777844.790686, lowerbound=1185619.790686, norm of subgrad 1089.527324	dualbound = 2777844.790686, lowerbound=1185619.790686, norm of subgrad 39.615463	 stepsize= 1.000000 
-dualbound = 2778002.313691, lowerbound=1190499.313691, norm of subgrad 1091.777136	dualbound = 2778002.313691, lowerbound=1190499.313691, norm of subgrad 40.441600	 stepsize= 1.000000 
-dualbound = 2778135.341801, lowerbound=1191734.341801, norm of subgrad 1092.387908	dualbound = 2778135.341801, lowerbound=1191734.341801, norm of subgrad 41.352486	 stepsize= 1.000000 
-dualbound = 2778289.728587, lowerbound=1186928.728587, norm of subgrad 1090.151241	dualbound = 2778289.728587, lowerbound=1186928.728587, norm of subgrad 40.686445	 stepsize= 1.000000 
-dualbound = 2778444.726171, lowerbound=1192395.726171, norm of subgrad 1092.641170	dualbound = 2778444.726171, lowerbound=1192395.726171, norm of subgrad 40.298853	 stepsize= 1.000000 
-dualbound = 2778626.991657, lowerbound=1188905.991657, norm of subgrad 1091.035743	dualbound = 2778626.991657, lowerbound=1188905.991657, norm of subgrad 40.438416	 stepsize= 1.000000 
-dualbound = 2778790.795754, lowerbound=1187080.795754, norm of subgrad 1090.181084	dualbound = 2778790.795754, lowerbound=1187080.795754, norm of subgrad 39.721582	 stepsize= 1.000000 
-dualbound = 2778934.838047, lowerbound=1188200.838047, norm of subgrad 1090.728123	dualbound = 2778934.838047, lowerbound=1188200.838047, norm of subgrad 40.386165	 stepsize= 1.000000 
-dualbound = 2779075.828096, lowerbound=1186857.828096, norm of subgrad 1090.093036	dualbound = 2779075.828096, lowerbound=1186857.828096, norm of subgrad 39.824491	 stepsize= 1.000000 
-dualbound = 2779252.261280, lowerbound=1187850.261280, norm of subgrad 1090.527974	dualbound = 2779252.261280, lowerbound=1187850.261280, norm of subgrad 39.716913	 stepsize= 1.000000 
-dualbound = 2779391.603089, lowerbound=1186282.603089, norm of subgrad 1089.797047	dualbound = 2779391.603089, lowerbound=1186282.603089, norm of subgrad 38.914545	 stepsize= 1.000000 
-dualbound = 2779572.928127, lowerbound=1190764.928127, norm of subgrad 1091.865343	dualbound = 2779572.928127, lowerbound=1190764.928127, norm of subgrad 39.828696	 stepsize= 1.000000 
-dualbound = 2779703.864457, lowerbound=1189034.864457, norm of subgrad 1091.091593	dualbound = 2779703.864457, lowerbound=1189034.864457, norm of subgrad 39.710658	 stepsize= 1.000000 
-dualbound = 2779856.249809, lowerbound=1187156.249809, norm of subgrad 1090.246876	dualbound = 2779856.249809, lowerbound=1187156.249809, norm of subgrad 40.427532	 stepsize= 1.000000 
-dualbound = 2779994.107293, lowerbound=1192768.107293, norm of subgrad 1092.799207	dualbound = 2779994.107293, lowerbound=1192768.107293, norm of subgrad 39.747421	 stepsize= 1.000000 
-dualbound = 2780191.823208, lowerbound=1185528.823208, norm of subgrad 1089.433258	dualbound = 2780191.823208, lowerbound=1185528.823208, norm of subgrad 39.162685	 stepsize= 1.000000 
-dualbound = 2780333.861543, lowerbound=1188271.861543, norm of subgrad 1090.739594	dualbound = 2780333.861543, lowerbound=1188271.861543, norm of subgrad 39.787414	 stepsize= 1.000000 
-dualbound = 2780476.008121, lowerbound=1188296.008121, norm of subgrad 1090.772207	dualbound = 2780476.008121, lowerbound=1188296.008121, norm of subgrad 40.375074	 stepsize= 1.000000 
-dualbound = 2780605.606572, lowerbound=1184480.606572, norm of subgrad 1089.002574	dualbound = 2780605.606572, lowerbound=1184480.606572, norm of subgrad 39.693809	 stepsize= 1.000000 
-dualbound = 2780773.452873, lowerbound=1188933.452873, norm of subgrad 1091.064367	dualbound = 2780773.452873, lowerbound=1188933.452873, norm of subgrad 40.692091	 stepsize= 1.000000 
-dualbound = 2780906.539743, lowerbound=1188593.539743, norm of subgrad 1090.886126	dualbound = 2780906.539743, lowerbound=1188593.539743, norm of subgrad 39.649551	 stepsize= 1.000000 
-dualbound = 2781085.360701, lowerbound=1189790.360701, norm of subgrad 1091.470275	dualbound = 2781085.360701, lowerbound=1189790.360701, norm of subgrad 41.180347	 stepsize= 1.000000 
-dualbound = 2781236.148338, lowerbound=1186893.148338, norm of subgrad 1090.131711	dualbound = 2781236.148338, lowerbound=1186893.148338, norm of subgrad 40.555982	 stepsize= 1.000000 
-dualbound = 2781406.352853, lowerbound=1188471.352853, norm of subgrad 1090.841580	dualbound = 2781406.352853, lowerbound=1188471.352853, norm of subgrad 40.425295	 stepsize= 1.000000 
-dualbound = 2781527.687496, lowerbound=1192717.687496, norm of subgrad 1092.793067	dualbound = 2781527.687496, lowerbound=1192717.687496, norm of subgrad 40.004183	 stepsize= 1.000000 
-dualbound = 2781702.820271, lowerbound=1187898.820271, norm of subgrad 1090.572244	dualbound = 2781702.820271, lowerbound=1187898.820271, norm of subgrad 40.300531	 stepsize= 1.000000 
-dualbound = 2781869.080283, lowerbound=1186467.080283, norm of subgrad 1089.911501	dualbound = 2781869.080283, lowerbound=1186467.080283, norm of subgrad 40.078174	 stepsize= 1.000000 
-dualbound = 2782024.905127, lowerbound=1186073.905127, norm of subgrad 1089.700833	dualbound = 2782024.905127, lowerbound=1186073.905127, norm of subgrad 39.112975	 stepsize= 1.000000 
-dualbound = 2782179.909144, lowerbound=1192772.909144, norm of subgrad 1092.801862	dualbound = 2782179.909144, lowerbound=1192772.909144, norm of subgrad 39.975042	 stepsize= 1.000000 
-dualbound = 2782309.336935, lowerbound=1188450.336935, norm of subgrad 1090.858532	dualbound = 2782309.336935, lowerbound=1188450.336935, norm of subgrad 40.637763	 stepsize= 1.000000 
-dualbound = 2782445.948884, lowerbound=1191445.948884, norm of subgrad 1092.208748	dualbound = 2782445.948884, lowerbound=1191445.948884, norm of subgrad 40.132430	 stepsize= 1.000000 
-dualbound = 2782634.575888, lowerbound=1189365.575888, norm of subgrad 1091.244050	dualbound = 2782634.575888, lowerbound=1189365.575888, norm of subgrad 40.455247	 stepsize= 1.000000 
-dualbound = 2782789.454145, lowerbound=1187571.454145, norm of subgrad 1090.431774	dualbound = 2782789.454145, lowerbound=1187571.454145, norm of subgrad 40.309779	 stepsize= 1.000000 
-dualbound = 2782933.810214, lowerbound=1190142.810214, norm of subgrad 1091.642254	dualbound = 2782933.810214, lowerbound=1190142.810214, norm of subgrad 41.040907	 stepsize= 1.000000 
-dualbound = 2783066.494407, lowerbound=1188451.494407, norm of subgrad 1090.826977	dualbound = 2783066.494407, lowerbound=1188451.494407, norm of subgrad 39.808092	 stepsize= 1.000000 
-dualbound = 2783246.335589, lowerbound=1184308.335589, norm of subgrad 1088.913833	dualbound = 2783246.335589, lowerbound=1184308.335589, norm of subgrad 40.060469	 stepsize= 1.000000 
-dualbound = 2783403.679916, lowerbound=1188900.679916, norm of subgrad 1091.038349	dualbound = 2783403.679916, lowerbound=1188900.679916, norm of subgrad 40.265920	 stepsize= 1.000000 
-dualbound = 2783540.733143, lowerbound=1189024.733143, norm of subgrad 1091.120403	dualbound = 2783540.733143, lowerbound=1189024.733143, norm of subgrad 40.694634	 stepsize= 1.000000 
-dualbound = 2783697.134865, lowerbound=1190165.134865, norm of subgrad 1091.597057	dualbound = 2783697.134865, lowerbound=1190165.134865, norm of subgrad 39.691331	 stepsize= 1.000000 
-dualbound = 2783869.877340, lowerbound=1181735.877340, norm of subgrad 1087.709923	dualbound = 2783869.877340, lowerbound=1181735.877340, norm of subgrad 39.366769	 stepsize= 1.000000 
-dualbound = 2784036.999126, lowerbound=1189486.999126, norm of subgrad 1091.254324	dualbound = 2784036.999126, lowerbound=1189486.999126, norm of subgrad 38.937409	 stepsize= 1.000000 
-dualbound = 2784188.585972, lowerbound=1187828.585972, norm of subgrad 1090.520328	dualbound = 2784188.585972, lowerbound=1187828.585972, norm of subgrad 39.466275	 stepsize= 1.000000 
-dualbound = 2784325.524933, lowerbound=1189532.524933, norm of subgrad 1091.311379	dualbound = 2784325.524933, lowerbound=1189532.524933, norm of subgrad 39.559309	 stepsize= 1.000000 
-dualbound = 2784477.099878, lowerbound=1192544.099878, norm of subgrad 1092.707234	dualbound = 2784477.099878, lowerbound=1192544.099878, norm of subgrad 40.206653	 stepsize= 1.000000 
-dualbound = 2784620.446985, lowerbound=1191451.446985, norm of subgrad 1092.197073	dualbound = 2784620.446985, lowerbound=1191451.446985, norm of subgrad 39.828973	 stepsize= 1.000000 
-dualbound = 2784800.004198, lowerbound=1187507.004198, norm of subgrad 1090.397177	dualbound = 2784800.004198, lowerbound=1187507.004198, norm of subgrad 40.479096	 stepsize= 1.000000 
-dualbound = 2784943.135634, lowerbound=1189761.135634, norm of subgrad 1091.399622	dualbound = 2784943.135634, lowerbound=1189761.135634, norm of subgrad 39.180753	 stepsize= 1.000000 
-dualbound = 2785130.504920, lowerbound=1188258.504920, norm of subgrad 1090.711009	dualbound = 2785130.504920, lowerbound=1188258.504920, norm of subgrad 39.741279	 stepsize= 1.000000 
-dualbound = 2785239.461426, lowerbound=1188445.461426, norm of subgrad 1090.830171	dualbound = 2785239.461426, lowerbound=1188445.461426, norm of subgrad 39.673121	 stepsize= 1.000000 
-dualbound = 2785374.497533, lowerbound=1187774.497533, norm of subgrad 1090.527165	dualbound = 2785374.497533, lowerbound=1187774.497533, norm of subgrad 40.125255	 stepsize= 1.000000 
-dualbound = 2785554.106560, lowerbound=1190608.106560, norm of subgrad 1091.793985	dualbound = 2785554.106560, lowerbound=1190608.106560, norm of subgrad 39.819707	 stepsize= 1.000000 
-dualbound = 2785702.413014, lowerbound=1187042.413014, norm of subgrad 1090.152931	dualbound = 2785702.413014, lowerbound=1187042.413014, norm of subgrad 39.233996	 stepsize= 1.000000 
-dualbound = 2785890.899388, lowerbound=1189870.899388, norm of subgrad 1091.458611	dualbound = 2785890.899388, lowerbound=1189870.899388, norm of subgrad 39.993579	 stepsize= 1.000000 
-dualbound = 2786016.862465, lowerbound=1188186.862465, norm of subgrad 1090.710256	dualbound = 2786016.862465, lowerbound=1188186.862465, norm of subgrad 39.849254	 stepsize= 1.000000 
-dualbound = 2786146.970963, lowerbound=1193885.970963, norm of subgrad 1093.310098	dualbound = 2786146.970963, lowerbound=1193885.970963, norm of subgrad 39.637211	 stepsize= 1.000000 
-dualbound = 2786299.735460, lowerbound=1189555.735460, norm of subgrad 1091.359581	dualbound = 2786299.735460, lowerbound=1189555.735460, norm of subgrad 40.777009	 stepsize= 1.000000 
-dualbound = 2786447.537345, lowerbound=1188138.537345, norm of subgrad 1090.654179	dualbound = 2786447.537345, lowerbound=1188138.537345, norm of subgrad 39.189308	 stepsize= 1.000000 
-dualbound = 2786651.401923, lowerbound=1185873.401923, norm of subgrad 1089.634527	dualbound = 2786651.401923, lowerbound=1185873.401923, norm of subgrad 40.421091	 stepsize= 1.000000 
-dualbound = 2786786.281231, lowerbound=1191017.281231, norm of subgrad 1091.999213	dualbound = 2786786.281231, lowerbound=1191017.281231, norm of subgrad 39.747696	 stepsize= 1.000000 
-dualbound = 2786946.741069, lowerbound=1187916.741069, norm of subgrad 1090.588713	dualbound = 2786946.741069, lowerbound=1187916.741069, norm of subgrad 40.341788	 stepsize= 1.000000 
-dualbound = 2787086.483933, lowerbound=1189273.483933, norm of subgrad 1091.205519	dualbound = 2787086.483933, lowerbound=1189273.483933, norm of subgrad 39.946750	 stepsize= 1.000000 
-dualbound = 2787230.076187, lowerbound=1189580.076187, norm of subgrad 1091.357905	dualbound = 2787230.076187, lowerbound=1189580.076187, norm of subgrad 40.318634	 stepsize= 1.000000 
-dualbound = 2787381.141895, lowerbound=1192010.141895, norm of subgrad 1092.457844	dualbound = 2787381.141895, lowerbound=1192010.141895, norm of subgrad 40.063271	 stepsize= 1.000000 
-dualbound = 2787561.681105, lowerbound=1191830.681105, norm of subgrad 1092.360600	dualbound = 2787561.681105, lowerbound=1191830.681105, norm of subgrad 40.019235	 stepsize= 1.000000 
-dualbound = 2787694.854766, lowerbound=1188685.854766, norm of subgrad 1090.918812	dualbound = 2787694.854766, lowerbound=1188685.854766, norm of subgrad 39.384942	 stepsize= 1.000000 
-dualbound = 2787851.602621, lowerbound=1189832.602621, norm of subgrad 1091.481380	dualbound = 2787851.602621, lowerbound=1189832.602621, norm of subgrad 40.690882	 stepsize= 1.000000 
-dualbound = 2787999.931632, lowerbound=1189051.931632, norm of subgrad 1091.110412	dualbound = 2787999.931632, lowerbound=1189051.931632, norm of subgrad 40.228460	 stepsize= 1.000000 
-dualbound = 2788152.176416, lowerbound=1188589.176416, norm of subgrad 1090.883209	dualbound = 2788152.176416, lowerbound=1188589.176416, norm of subgrad 39.865333	 stepsize= 1.000000 
-dualbound = 2788324.469807, lowerbound=1189498.469807, norm of subgrad 1091.291652	dualbound = 2788324.469807, lowerbound=1189498.469807, norm of subgrad 39.891019	 stepsize= 1.000000 
-dualbound = 2788474.049846, lowerbound=1189367.049846, norm of subgrad 1091.240601	dualbound = 2788474.049846, lowerbound=1189367.049846, norm of subgrad 39.856995	 stepsize= 1.000000 
-dualbound = 2788619.679452, lowerbound=1187817.679452, norm of subgrad 1090.525414	dualbound = 2788619.679452, lowerbound=1187817.679452, norm of subgrad 39.669001	 stepsize= 1.000000 
-dualbound = 2788776.282811, lowerbound=1190189.282811, norm of subgrad 1091.591170	dualbound = 2788776.282811, lowerbound=1190189.282811, norm of subgrad 39.225035	 stepsize= 1.000000 
-dualbound = 2788940.176625, lowerbound=1189776.176625, norm of subgrad 1091.449576	dualbound = 2788940.176625, lowerbound=1189776.176625, norm of subgrad 40.618885	 stepsize= 1.000000 
-dualbound = 2789046.223811, lowerbound=1188934.223811, norm of subgrad 1091.087175	dualbound = 2789046.223811, lowerbound=1188934.223811, norm of subgrad 40.534518	 stepsize= 1.000000 
-dualbound = 2789200.143971, lowerbound=1194244.143971, norm of subgrad 1093.478918	dualbound = 2789200.143971, lowerbound=1194244.143971, norm of subgrad 40.073934	 stepsize= 1.000000 
-dualbound = 2789397.210253, lowerbound=1184294.210253, norm of subgrad 1088.892194	dualbound = 2789397.210253, lowerbound=1184294.210253, norm of subgrad 39.863094	 stepsize= 1.000000 
-dualbound = 2789537.540625, lowerbound=1189827.540625, norm of subgrad 1091.452491	dualbound = 2789537.540625, lowerbound=1189827.540625, norm of subgrad 39.765945	 stepsize= 1.000000 
-dualbound = 2789696.552248, lowerbound=1186433.552248, norm of subgrad 1089.898872	dualbound = 2789696.552248, lowerbound=1186433.552248, norm of subgrad 40.062596	 stepsize= 1.000000 
-dualbound = 2789854.263899, lowerbound=1190584.263899, norm of subgrad 1091.771159	dualbound = 2789854.263899, lowerbound=1190584.263899, norm of subgrad 39.213667	 stepsize= 1.000000 
-dualbound = 2790023.613241, lowerbound=1190061.613241, norm of subgrad 1091.520322	dualbound = 2790023.613241, lowerbound=1190061.613241, norm of subgrad 39.042917	 stepsize= 1.000000 
-dualbound = 2790181.685157, lowerbound=1190760.685157, norm of subgrad 1091.856073	dualbound = 2790181.685157, lowerbound=1190760.685157, norm of subgrad 39.332835	 stepsize= 1.000000 
-dualbound = 2790322.597006, lowerbound=1189874.597006, norm of subgrad 1091.455266	dualbound = 2790322.597006, lowerbound=1189874.597006, norm of subgrad 39.254450	 stepsize= 1.000000 
-dualbound = 2790488.155751, lowerbound=1186274.155751, norm of subgrad 1089.801888	dualbound = 2790488.155751, lowerbound=1186274.155751, norm of subgrad 39.491249	 stepsize= 1.000000 
-dualbound = 2790622.881991, lowerbound=1189516.881991, norm of subgrad 1091.308793	dualbound = 2790622.881991, lowerbound=1189516.881991, norm of subgrad 39.657613	 stepsize= 1.000000 
-dualbound = 2790762.181737, lowerbound=1192555.181737, norm of subgrad 1092.712763	dualbound = 2790762.181737, lowerbound=1192555.181737, norm of subgrad 40.066192	 stepsize= 1.000000 
-dualbound = 2790905.364338, lowerbound=1188284.364338, norm of subgrad 1090.764578	dualbound = 2790905.364338, lowerbound=1188284.364338, norm of subgrad 40.325954	 stepsize= 1.000000 
-dualbound = 2791071.358211, lowerbound=1190414.358211, norm of subgrad 1091.727236	dualbound = 2791071.358211, lowerbound=1190414.358211, norm of subgrad 40.249147	 stepsize= 1.000000 
-dualbound = 2791215.882672, lowerbound=1192294.882672, norm of subgrad 1092.595480	dualbound = 2791215.882672, lowerbound=1192294.882672, norm of subgrad 40.181146	 stepsize= 1.000000 
-dualbound = 2791377.759258, lowerbound=1188133.759258, norm of subgrad 1090.673535	dualbound = 2791377.759258, lowerbound=1188133.759258, norm of subgrad 39.960938	 stepsize= 1.000000 
-dualbound = 2791538.491431, lowerbound=1191229.491431, norm of subgrad 1092.104616	dualbound = 2791538.491431, lowerbound=1191229.491431, norm of subgrad 40.295560	 stepsize= 1.000000 
-dualbound = 2791704.045811, lowerbound=1191796.045811, norm of subgrad 1092.372668	dualbound = 2791704.045811, lowerbound=1191796.045811, norm of subgrad 40.590077	 stepsize= 1.000000 
-dualbound = 2791831.855954, lowerbound=1190394.855954, norm of subgrad 1091.696320	dualbound = 2791831.855954, lowerbound=1190394.855954, norm of subgrad 39.163888	 stepsize= 1.000000 
-dualbound = 2792011.998706, lowerbound=1186420.998706, norm of subgrad 1089.873845	dualbound = 2792011.998706, lowerbound=1186420.998706, norm of subgrad 39.801291	 stepsize= 1.000000 
-dualbound = 2792155.402156, lowerbound=1188152.402156, norm of subgrad 1090.681623	dualbound = 2792155.402156, lowerbound=1188152.402156, norm of subgrad 39.716539	 stepsize= 1.000000 
-dualbound = 2792282.813176, lowerbound=1190757.813176, norm of subgrad 1091.895972	dualbound = 2792282.813176, lowerbound=1190757.813176, norm of subgrad 40.080058	 stepsize= 1.000000 
-dualbound = 2792460.034472, lowerbound=1187698.034472, norm of subgrad 1090.466888	dualbound = 2792460.034472, lowerbound=1187698.034472, norm of subgrad 39.965251	 stepsize= 1.000000 
-dualbound = 2792627.349121, lowerbound=1191044.349121, norm of subgrad 1092.027174	dualbound = 2792627.349121, lowerbound=1191044.349121, norm of subgrad 40.574803	 stepsize= 1.000000 
-dualbound = 2792730.399642, lowerbound=1189687.399642, norm of subgrad 1091.437767	dualbound = 2792730.399642, lowerbound=1189687.399642, norm of subgrad 40.645424	 stepsize= 1.000000 
-dualbound = 2792887.082525, lowerbound=1189926.082525, norm of subgrad 1091.508627	dualbound = 2792887.082525, lowerbound=1189926.082525, norm of subgrad 40.270124	 stepsize= 1.000000 
-dualbound = 2793081.281259, lowerbound=1193528.281259, norm of subgrad 1093.143761	dualbound = 2793081.281259, lowerbound=1193528.281259, norm of subgrad 40.363334	 stepsize= 1.000000 
-dualbound = 2793217.331089, lowerbound=1188343.331089, norm of subgrad 1090.786107	dualbound = 2793217.331089, lowerbound=1188343.331089, norm of subgrad 40.088026	 stepsize= 1.000000 
-dualbound = 2793376.522522, lowerbound=1189821.522522, norm of subgrad 1091.461187	dualbound = 2793376.522522, lowerbound=1189821.522522, norm of subgrad 40.313663	 stepsize= 1.000000 
-dualbound = 2793507.473501, lowerbound=1189598.473501, norm of subgrad 1091.325558	dualbound = 2793507.473501, lowerbound=1189598.473501, norm of subgrad 39.037815	 stepsize= 1.000000 
-dualbound = 2793701.574485, lowerbound=1189310.574485, norm of subgrad 1091.215641	dualbound = 2793701.574485, lowerbound=1189310.574485, norm of subgrad 40.436382	 stepsize= 1.000000 
-dualbound = 2793836.242660, lowerbound=1193145.242660, norm of subgrad 1092.985930	dualbound = 2793836.242660, lowerbound=1193145.242660, norm of subgrad 40.095738	 stepsize= 1.000000 
-dualbound = 2793980.202272, lowerbound=1188759.202272, norm of subgrad 1090.949221	dualbound = 2793980.202272, lowerbound=1188759.202272, norm of subgrad 39.432976	 stepsize= 1.000000 
-dualbound = 2794138.081162, lowerbound=1193449.081162, norm of subgrad 1093.106619	dualbound = 2794138.081162, lowerbound=1193449.081162, norm of subgrad 39.885823	 stepsize= 1.000000 
-dualbound = 2794284.558847, lowerbound=1188585.558847, norm of subgrad 1090.882010	dualbound = 2794284.558847, lowerbound=1188585.558847, norm of subgrad 39.805498	 stepsize= 1.000000 
-dualbound = 2794442.095763, lowerbound=1187726.095763, norm of subgrad 1090.487091	dualbound = 2794442.095763, lowerbound=1187726.095763, norm of subgrad 39.919130	 stepsize= 1.000000 
-dualbound = 2794603.829550, lowerbound=1190002.829550, norm of subgrad 1091.518589	dualbound = 2794603.829550, lowerbound=1190002.829550, norm of subgrad 39.645098	 stepsize= 1.000000 
-dualbound = 2794763.964224, lowerbound=1193632.964224, norm of subgrad 1093.186153	dualbound = 2794763.964224, lowerbound=1193632.964224, norm of subgrad 39.788625	 stepsize= 1.000000 
-dualbound = 2794879.098063, lowerbound=1192923.098063, norm of subgrad 1092.857309	dualbound = 2794879.098063, lowerbound=1192923.098063, norm of subgrad 39.104141	 stepsize= 1.000000 
-dualbound = 2795066.555290, lowerbound=1183247.555290, norm of subgrad 1088.416995	dualbound = 2795066.555290, lowerbound=1183247.555290, norm of subgrad 39.893072	 stepsize= 1.000000 
-dualbound = 2795225.826774, lowerbound=1190480.826774, norm of subgrad 1091.717833	dualbound = 2795225.826774, lowerbound=1190480.826774, norm of subgrad 39.067525	 stepsize= 1.000000 
-dualbound = 2795354.966605, lowerbound=1189583.966605, norm of subgrad 1091.314330	dualbound = 2795354.966605, lowerbound=1189583.966605, norm of subgrad 38.886242	 stepsize= 1.000000 
-dualbound = 2795505.254897, lowerbound=1188001.254897, norm of subgrad 1090.640754	dualbound = 2795505.254897, lowerbound=1188001.254897, norm of subgrad 40.574478	 stepsize= 1.000000 
-dualbound = 2795611.562976, lowerbound=1196576.562976, norm of subgrad 1094.576888	dualbound = 2795611.562976, lowerbound=1196576.562976, norm of subgrad 40.352300	 stepsize= 1.000000 
-dualbound = 2795797.812897, lowerbound=1185416.812897, norm of subgrad 1089.446104	dualbound = 2795797.812897, lowerbound=1185416.812897, norm of subgrad 40.770699	 stepsize= 1.000000 
-dualbound = 2795953.501673, lowerbound=1188657.501673, norm of subgrad 1090.942025	dualbound = 2795953.501673, lowerbound=1188657.501673, norm of subgrad 40.653275	 stepsize= 1.000000 
-dualbound = 2796091.931467, lowerbound=1189482.931467, norm of subgrad 1091.329433	dualbound = 2796091.931467, lowerbound=1189482.931467, norm of subgrad 40.686973	 stepsize= 1.000000 
-dualbound = 2796236.755150, lowerbound=1193420.755150, norm of subgrad 1093.126139	dualbound = 2796236.755150, lowerbound=1193420.755150, norm of subgrad 40.605710	 stepsize= 1.000000 
-dualbound = 2796416.222810, lowerbound=1190614.222810, norm of subgrad 1091.833881	dualbound = 2796416.222810, lowerbound=1190614.222810, norm of subgrad 40.822392	 stepsize= 1.000000 
-dualbound = 2796569.010655, lowerbound=1192470.010655, norm of subgrad 1092.696212	dualbound = 2796569.010655, lowerbound=1192470.010655, norm of subgrad 40.838558	 stepsize= 1.000000 
-dualbound = 2796706.834411, lowerbound=1187502.834411, norm of subgrad 1090.398934	dualbound = 2796706.834411, lowerbound=1187502.834411, norm of subgrad 40.060252	 stepsize= 1.000000 
-dualbound = 2796874.189323, lowerbound=1187926.189323, norm of subgrad 1090.607716	dualbound = 2796874.189323, lowerbound=1187926.189323, norm of subgrad 40.821011	 stepsize= 1.000000 
-dualbound = 2797015.301973, lowerbound=1187979.301973, norm of subgrad 1090.603183	dualbound = 2797015.301973, lowerbound=1187979.301973, norm of subgrad 39.712878	 stepsize= 1.000000 
-dualbound = 2797208.835433, lowerbound=1188331.835433, norm of subgrad 1090.743707	dualbound = 2797208.835433, lowerbound=1188331.835433, norm of subgrad 39.793636	 stepsize= 1.000000 
-dualbound = 2797343.223079, lowerbound=1190965.223079, norm of subgrad 1091.974919	dualbound = 2797343.223079, lowerbound=1190965.223079, norm of subgrad 39.728927	 stepsize= 1.000000 
-dualbound = 2797482.933553, lowerbound=1192501.933553, norm of subgrad 1092.676500	dualbound = 2797482.933553, lowerbound=1192501.933553, norm of subgrad 39.745572	 stepsize= 1.000000 
-dualbound = 2797652.238631, lowerbound=1189250.238631, norm of subgrad 1091.164167	dualbound = 2797652.238631, lowerbound=1189250.238631, norm of subgrad 39.475373	 stepsize= 1.000000 
-dualbound = 2797794.509312, lowerbound=1190557.509312, norm of subgrad 1091.786384	dualbound = 2797794.509312, lowerbound=1190557.509312, norm of subgrad 39.777766	 stepsize= 1.000000 
-dualbound = 2797952.694528, lowerbound=1190258.694528, norm of subgrad 1091.651819	dualbound = 2797952.694528, lowerbound=1190258.694528, norm of subgrad 40.039795	 stepsize= 1.000000 
-dualbound = 2798092.963091, lowerbound=1182826.963091, norm of subgrad 1088.254089	dualbound = 2798092.963091, lowerbound=1182826.963091, norm of subgrad 40.128152	 stepsize= 1.000000 
-dualbound = 2798253.545765, lowerbound=1190438.545765, norm of subgrad 1091.761671	dualbound = 2798253.545765, lowerbound=1190438.545765, norm of subgrad 40.811551	 stepsize= 1.000000 
-dualbound = 2798397.455087, lowerbound=1188135.455087, norm of subgrad 1090.698609	dualbound = 2798397.455087, lowerbound=1188135.455087, norm of subgrad 40.396897	 stepsize= 1.000000 
-dualbound = 2798562.055858, lowerbound=1190298.055858, norm of subgrad 1091.643740	dualbound = 2798562.055858, lowerbound=1190298.055858, norm of subgrad 39.403055	 stepsize= 1.000000 
-dualbound = 2798748.945704, lowerbound=1192185.945704, norm of subgrad 1092.531897	dualbound = 2798748.945704, lowerbound=1192185.945704, norm of subgrad 40.334723	 stepsize= 1.000000 
-dualbound = 2798847.200811, lowerbound=1194170.200811, norm of subgrad 1093.472542	dualbound = 2798847.200811, lowerbound=1194170.200811, norm of subgrad 40.127984	 stepsize= 1.000000 
-dualbound = 2799002.257793, lowerbound=1188716.257793, norm of subgrad 1090.970787	dualbound = 2799002.257793, lowerbound=1188716.257793, norm of subgrad 40.694680	 stepsize= 1.000000 
-dualbound = 2799177.867337, lowerbound=1193459.867337, norm of subgrad 1093.111553	dualbound = 2799177.867337, lowerbound=1193459.867337, norm of subgrad 40.107475	 stepsize= 1.000000 
-dualbound = 2799326.472302, lowerbound=1187356.472302, norm of subgrad 1090.304303	dualbound = 2799326.472302, lowerbound=1187356.472302, norm of subgrad 39.441158	 stepsize= 1.000000 
-dualbound = 2799504.989495, lowerbound=1191563.989495, norm of subgrad 1092.215175	dualbound = 2799504.989495, lowerbound=1191563.989495, norm of subgrad 39.351203	 stepsize= 1.000000 
-dualbound = 2799626.455301, lowerbound=1189131.455301, norm of subgrad 1091.147770	dualbound = 2799626.455301, lowerbound=1189131.455301, norm of subgrad 39.918239	 stepsize= 1.000000 
-dualbound = 2799798.831602, lowerbound=1192104.831602, norm of subgrad 1092.462279	dualbound = 2799798.831602, lowerbound=1192104.831602, norm of subgrad 39.260366	 stepsize= 1.000000 
-dualbound = 2799966.512886, lowerbound=1188510.512886, norm of subgrad 1090.836153	dualbound = 2799966.512886, lowerbound=1188510.512886, norm of subgrad 39.757783	 stepsize= 1.000000 
-dualbound = 2800084.529696, lowerbound=1190034.529696, norm of subgrad 1091.534484	dualbound = 2800084.529696, lowerbound=1190034.529696, norm of subgrad 39.128210	 stepsize= 1.000000 
-dualbound = 2800242.298482, lowerbound=1192273.298482, norm of subgrad 1092.565009	dualbound = 2800242.298482, lowerbound=1192273.298482, norm of subgrad 39.784027	 stepsize= 1.000000 
-dualbound = 2800390.040695, lowerbound=1189447.040695, norm of subgrad 1091.284583	dualbound = 2800390.040695, lowerbound=1189447.040695, norm of subgrad 40.034263	 stepsize= 1.000000 
-dualbound = 2800555.659160, lowerbound=1190886.659160, norm of subgrad 1091.945355	dualbound = 2800555.659160, lowerbound=1190886.659160, norm of subgrad 40.294149	 stepsize= 1.000000 
-dualbound = 2800697.679492, lowerbound=1189994.679492, norm of subgrad 1091.545088	dualbound = 2800697.679492, lowerbound=1189994.679492, norm of subgrad 40.224623	 stepsize= 1.000000 
-dualbound = 2800857.680395, lowerbound=1188764.680395, norm of subgrad 1090.976480	dualbound = 2800857.680395, lowerbound=1188764.680395, norm of subgrad 40.311300	 stepsize= 1.000000 
-dualbound = 2800997.283746, lowerbound=1192483.283746, norm of subgrad 1092.695421	dualbound = 2800997.283746, lowerbound=1192483.283746, norm of subgrad 40.492016	 stepsize= 1.000000 
-dualbound = 2801131.931897, lowerbound=1193486.931897, norm of subgrad 1093.154578	dualbound = 2801131.931897, lowerbound=1193486.931897, norm of subgrad 40.430782	 stepsize= 1.000000 
-dualbound = 2801297.960837, lowerbound=1189439.960837, norm of subgrad 1091.304248	dualbound = 2801297.960837, lowerbound=1189439.960837, norm of subgrad 40.878221	 stepsize= 1.000000 
-dualbound = 2801439.156488, lowerbound=1188457.156488, norm of subgrad 1090.835531	dualbound = 2801439.156488, lowerbound=1188457.156488, norm of subgrad 40.077371	 stepsize= 1.000000 
-dualbound = 2801615.795724, lowerbound=1194197.795724, norm of subgrad 1093.456810	dualbound = 2801615.795724, lowerbound=1194197.795724, norm of subgrad 40.331616	 stepsize= 1.000000 
-dualbound = 2801771.596349, lowerbound=1188477.596349, norm of subgrad 1090.830233	dualbound = 2801771.596349, lowerbound=1188477.596349, norm of subgrad 39.859762	 stepsize= 1.000000 
-dualbound = 2801922.876081, lowerbound=1191302.876081, norm of subgrad 1092.146911	dualbound = 2801922.876081, lowerbound=1191302.876081, norm of subgrad 40.413856	 stepsize= 1.000000 
-dualbound = 2802068.073978, lowerbound=1191805.073978, norm of subgrad 1092.390990	dualbound = 2802068.073978, lowerbound=1191805.073978, norm of subgrad 40.720976	 stepsize= 1.000000 
-dualbound = 2802210.626894, lowerbound=1187802.626894, norm of subgrad 1090.537311	dualbound = 2802210.626894, lowerbound=1187802.626894, norm of subgrad 40.144152	 stepsize= 1.000000 
-dualbound = 2802369.904945, lowerbound=1189779.904945, norm of subgrad 1091.418300	dualbound = 2802369.904945, lowerbound=1189779.904945, norm of subgrad 39.664569	 stepsize= 1.000000 
-dualbound = 2802545.019798, lowerbound=1192517.019798, norm of subgrad 1092.667388	dualbound = 2802545.019798, lowerbound=1192517.019798, norm of subgrad 39.750659	 stepsize= 1.000000 
-dualbound = 2802676.102297, lowerbound=1191050.102297, norm of subgrad 1091.991347	dualbound = 2802676.102297, lowerbound=1191050.102297, norm of subgrad 39.065106	 stepsize= 1.000000 
-dualbound = 2802859.883944, lowerbound=1190409.883944, norm of subgrad 1091.697249	dualbound = 2802859.883944, lowerbound=1190409.883944, norm of subgrad 39.708710	 stepsize= 1.000000 
-dualbound = 2802977.395685, lowerbound=1192766.395685, norm of subgrad 1092.811235	dualbound = 2802977.395685, lowerbound=1192766.395685, norm of subgrad 39.843591	 stepsize= 1.000000 
-dualbound = 2803132.227500, lowerbound=1182671.227500, norm of subgrad 1088.199535	dualbound = 2803132.227500, lowerbound=1182671.227500, norm of subgrad 40.765571	 stepsize= 1.000000 
-dualbound = 2803275.528124, lowerbound=1194473.528124, norm of subgrad 1093.605746	dualbound = 2803275.528124, lowerbound=1194473.528124, norm of subgrad 40.537645	 stepsize= 1.000000 
-dualbound = 2803415.316759, lowerbound=1189489.316759, norm of subgrad 1091.300745	dualbound = 2803415.316759, lowerbound=1189489.316759, norm of subgrad 39.847066	 stepsize= 1.000000 
-dualbound = 2803596.219779, lowerbound=1192111.219779, norm of subgrad 1092.488087	dualbound = 2803596.219779, lowerbound=1192111.219779, norm of subgrad 39.998788	 stepsize= 1.000000 
-dualbound = 2803753.617479, lowerbound=1191233.617479, norm of subgrad 1092.076287	dualbound = 2803753.617479, lowerbound=1191233.617479, norm of subgrad 39.425851	 stepsize= 1.000000 
-dualbound = 2803907.509481, lowerbound=1197290.509481, norm of subgrad 1094.878765	dualbound = 2803907.509481, lowerbound=1197290.509481, norm of subgrad 40.285134	 stepsize= 1.000000 
-dualbound = 2804055.090565, lowerbound=1189396.090565, norm of subgrad 1091.235580	dualbound = 2804055.090565, lowerbound=1189396.090565, norm of subgrad 39.326595	 stepsize= 1.000000 
-dualbound = 2804189.235329, lowerbound=1192762.235329, norm of subgrad 1092.852339	dualbound = 2804189.235329, lowerbound=1192762.235329, norm of subgrad 41.208552	 stepsize= 1.000000 
-dualbound = 2804326.628790, lowerbound=1191250.628790, norm of subgrad 1092.119329	dualbound = 2804326.628790, lowerbound=1191250.628790, norm of subgrad 40.142166	 stepsize= 1.000000 
-dualbound = 2804490.897060, lowerbound=1187587.897060, norm of subgrad 1090.431519	dualbound = 2804490.897060, lowerbound=1187587.897060, norm of subgrad 40.215274	 stepsize= 1.000000 
-dualbound = 2804645.582848, lowerbound=1190166.582848, norm of subgrad 1091.605049	dualbound = 2804645.582848, lowerbound=1190166.582848, norm of subgrad 39.870864	 stepsize= 1.000000 
-dualbound = 2804811.838296, lowerbound=1192130.838296, norm of subgrad 1092.506219	dualbound = 2804811.838296, lowerbound=1192130.838296, norm of subgrad 40.065639	 stepsize= 1.000000 
-dualbound = 2804944.184539, lowerbound=1186929.184539, norm of subgrad 1090.099163	dualbound = 2804944.184539, lowerbound=1186929.184539, norm of subgrad 38.978792	 stepsize= 1.000000 
-dualbound = 2805125.686289, lowerbound=1194617.686289, norm of subgrad 1093.631879	dualbound = 2805125.686289, lowerbound=1194617.686289, norm of subgrad 39.931213	 stepsize= 1.000000 
-dualbound = 2805270.038460, lowerbound=1185524.038460, norm of subgrad 1089.471449	dualbound = 2805270.038460, lowerbound=1185524.038460, norm of subgrad 39.602426	 stepsize= 1.000000 
-dualbound = 2805427.040122, lowerbound=1191958.040122, norm of subgrad 1092.438117	dualbound = 2805427.040122, lowerbound=1191958.040122, norm of subgrad 40.249244	 stepsize= 1.000000 
-dualbound = 2805546.858545, lowerbound=1190676.858545, norm of subgrad 1091.848368	dualbound = 2805546.858545, lowerbound=1190676.858545, norm of subgrad 39.696579	 stepsize= 1.000000 
-dualbound = 2805729.552952, lowerbound=1195785.552952, norm of subgrad 1094.169801	dualbound = 2805729.552952, lowerbound=1195785.552952, norm of subgrad 40.058637	 stepsize= 1.000000 
-dualbound = 2805854.875878, lowerbound=1188754.875878, norm of subgrad 1090.979320	dualbound = 2805854.875878, lowerbound=1188754.875878, norm of subgrad 40.078959	 stepsize= 1.000000 
-dualbound = 2806005.317692, lowerbound=1194823.317692, norm of subgrad 1093.734574	dualbound = 2806005.317692, lowerbound=1194823.317692, norm of subgrad 39.779917	 stepsize= 1.000000 
-dualbound = 2806137.370797, lowerbound=1188839.370797, norm of subgrad 1091.048748	dualbound = 2806137.370797, lowerbound=1188839.370797, norm of subgrad 40.988451	 stepsize= 1.000000 
-dualbound = 2806300.233690, lowerbound=1192090.233690, norm of subgrad 1092.462921	dualbound = 2806300.233690, lowerbound=1192090.233690, norm of subgrad 39.342889	 stepsize= 1.000000 
-dualbound = 2806483.535067, lowerbound=1190090.535067, norm of subgrad 1091.555557	dualbound = 2806483.535067, lowerbound=1190090.535067, norm of subgrad 39.828399	 stepsize= 1.000000 
-dualbound = 2806631.525000, lowerbound=1191471.525000, norm of subgrad 1092.214963	dualbound = 2806631.525000, lowerbound=1191471.525000, norm of subgrad 40.124680	 stepsize= 1.000000 
-dualbound = 2806779.213601, lowerbound=1188269.213601, norm of subgrad 1090.743422	dualbound = 2806779.213601, lowerbound=1188269.213601, norm of subgrad 39.996107	 stepsize= 1.000000 
-dualbound = 2806921.787302, lowerbound=1192895.787302, norm of subgrad 1092.869977	dualbound = 2806921.787302, lowerbound=1192895.787302, norm of subgrad 40.144411	 stepsize= 1.000000 
-dualbound = 2807065.791032, lowerbound=1187347.791032, norm of subgrad 1090.315913	dualbound = 2807065.791032, lowerbound=1187347.791032, norm of subgrad 39.812105	 stepsize= 1.000000 
-dualbound = 2807234.063709, lowerbound=1191821.063709, norm of subgrad 1092.366268	dualbound = 2807234.063709, lowerbound=1191821.063709, norm of subgrad 40.140661	 stepsize= 1.000000 
-dualbound = 2807384.124164, lowerbound=1185485.124164, norm of subgrad 1089.469653	dualbound = 2807384.124164, lowerbound=1185485.124164, norm of subgrad 40.113096	 stepsize= 1.000000 
-dualbound = 2807515.668377, lowerbound=1192054.668377, norm of subgrad 1092.500191	dualbound = 2807515.668377, lowerbound=1192054.668377, norm of subgrad 40.417128	 stepsize= 1.000000 
-dualbound = 2807677.129011, lowerbound=1186517.129011, norm of subgrad 1089.938131	dualbound = 2807677.129011, lowerbound=1186517.129011, norm of subgrad 40.118084	 stepsize= 1.000000 
-dualbound = 2807831.378841, lowerbound=1194529.378841, norm of subgrad 1093.642254	dualbound = 2807831.378841, lowerbound=1194529.378841, norm of subgrad 40.966448	 stepsize= 1.000000 
-dualbound = 2807958.696211, lowerbound=1189298.696211, norm of subgrad 1091.240439	dualbound = 2807958.696211, lowerbound=1189298.696211, norm of subgrad 40.426691	 stepsize= 1.000000 
-dualbound = 2808136.857049, lowerbound=1194499.857049, norm of subgrad 1093.584408	dualbound = 2808136.857049, lowerbound=1194499.857049, norm of subgrad 40.064459	 stepsize= 1.000000 
-dualbound = 2808292.625020, lowerbound=1186294.625020, norm of subgrad 1089.868627	dualbound = 2808292.625020, lowerbound=1186294.625020, norm of subgrad 40.923929	 stepsize= 1.000000 
-dualbound = 2808429.730011, lowerbound=1200273.730011, norm of subgrad 1096.252129	dualbound = 2808429.730011, lowerbound=1200273.730011, norm of subgrad 40.399319	 stepsize= 1.000000 
-dualbound = 2808593.623767, lowerbound=1186133.623767, norm of subgrad 1089.779622	dualbound = 2808593.623767, lowerbound=1186133.623767, norm of subgrad 40.618884	 stepsize= 1.000000 
-dualbound = 2808736.845623, lowerbound=1197326.845623, norm of subgrad 1094.873895	dualbound = 2808736.845623, lowerbound=1197326.845623, norm of subgrad 39.562885	 stepsize= 1.000000 
-dualbound = 2808917.877524, lowerbound=1187578.877524, norm of subgrad 1090.410417	dualbound = 2808917.877524, lowerbound=1187578.877524, norm of subgrad 39.962882	 stepsize= 1.000000 
-dualbound = 2809063.275574, lowerbound=1193620.275574, norm of subgrad 1093.173946	dualbound = 2809063.275574, lowerbound=1193620.275574, norm of subgrad 39.425855	 stepsize= 1.000000 
-dualbound = 2809211.406394, lowerbound=1187135.406394, norm of subgrad 1090.213927	dualbound = 2809211.406394, lowerbound=1187135.406394, norm of subgrad 39.738279	 stepsize= 1.000000 
-dualbound = 2809361.893210, lowerbound=1197438.893210, norm of subgrad 1094.937392	dualbound = 2809361.893210, lowerbound=1197438.893210, norm of subgrad 39.993585	 stepsize= 1.000000 
-dualbound = 2809501.172883, lowerbound=1185491.172883, norm of subgrad 1089.475182	dualbound = 2809501.172883, lowerbound=1185491.172883, norm of subgrad 40.053460	 stepsize= 1.000000 
-dualbound = 2809668.862494, lowerbound=1191344.862494, norm of subgrad 1092.153772	dualbound = 2809668.862494, lowerbound=1191344.862494, norm of subgrad 40.282622	 stepsize= 1.000000 
-dualbound = 2809778.135247, lowerbound=1190728.135247, norm of subgrad 1091.871391	dualbound = 2809778.135247, lowerbound=1190728.135247, norm of subgrad 39.550888	 stepsize= 1.000000 
-dualbound = 2809970.424598, lowerbound=1192552.424598, norm of subgrad 1092.699604	dualbound = 2809970.424598, lowerbound=1192552.424598, norm of subgrad 40.401601	 stepsize= 1.000000 
-dualbound = 2810113.322856, lowerbound=1194309.322856, norm of subgrad 1093.511007	dualbound = 2810113.322856, lowerbound=1194309.322856, norm of subgrad 39.998728	 stepsize= 1.000000 
-dualbound = 2810269.008430, lowerbound=1191872.008430, norm of subgrad 1092.377228	dualbound = 2810269.008430, lowerbound=1191872.008430, norm of subgrad 39.644490	 stepsize= 1.000000 
-dualbound = 2810412.530210, lowerbound=1191558.530210, norm of subgrad 1092.243805	dualbound = 2810412.530210, lowerbound=1191558.530210, norm of subgrad 39.768351	 stepsize= 1.000000 
-dualbound = 2810575.850046, lowerbound=1191399.850046, norm of subgrad 1092.169790	dualbound = 2810575.850046, lowerbound=1191399.850046, norm of subgrad 39.978992	 stepsize= 1.000000 
-dualbound = 2810726.335322, lowerbound=1192232.335322, norm of subgrad 1092.568229	dualbound = 2810726.335322, lowerbound=1192232.335322, norm of subgrad 40.292497	 stepsize= 1.000000 
-dualbound = 2810872.481690, lowerbound=1189962.481690, norm of subgrad 1091.540417	dualbound = 2810872.481690, lowerbound=1189962.481690, norm of subgrad 40.548075	 stepsize= 1.000000 
-dualbound = 2810999.581002, lowerbound=1191262.581002, norm of subgrad 1092.153186	dualbound = 2810999.581002, lowerbound=1191262.581002, norm of subgrad 40.781115	 stepsize= 1.000000 
-dualbound = 2811152.718932, lowerbound=1195929.718932, norm of subgrad 1094.259896	dualbound = 2811152.718932, lowerbound=1195929.718932, norm of subgrad 40.350191	 stepsize= 1.000000 
-dualbound = 2811290.586313, lowerbound=1190828.586313, norm of subgrad 1091.937080	dualbound = 2811290.586313, lowerbound=1190828.586313, norm of subgrad 40.445857	 stepsize= 1.000000 
-dualbound = 2811459.501958, lowerbound=1190529.501958, norm of subgrad 1091.805615	dualbound = 2811459.501958, lowerbound=1190529.501958, norm of subgrad 40.974573	 stepsize= 1.000000 
-dualbound = 2811623.436087, lowerbound=1193660.436087, norm of subgrad 1093.196431	dualbound = 2811623.436087, lowerbound=1193660.436087, norm of subgrad 39.773536	 stepsize= 1.000000 
-dualbound = 2811782.806318, lowerbound=1192173.806318, norm of subgrad 1092.514442	dualbound = 2811782.806318, lowerbound=1192173.806318, norm of subgrad 39.665731	 stepsize= 1.000000 
-dualbound = 2811931.643471, lowerbound=1190942.643471, norm of subgrad 1091.936190	dualbound = 2811931.643471, lowerbound=1190942.643471, norm of subgrad 39.125914	 stepsize= 1.000000 
-dualbound = 2812052.139372, lowerbound=1192396.139372, norm of subgrad 1092.669273	dualbound = 2812052.139372, lowerbound=1192396.139372, norm of subgrad 40.626296	 stepsize= 1.000000 
-dualbound = 2812218.481403, lowerbound=1186809.481403, norm of subgrad 1090.081410	dualbound = 2812218.481403, lowerbound=1186809.481403, norm of subgrad 40.426996	 stepsize= 1.000000 
-dualbound = 2812363.995417, lowerbound=1190174.995417, norm of subgrad 1091.630430	dualbound = 2812363.995417, lowerbound=1190174.995417, norm of subgrad 40.342459	 stepsize= 1.000000 
-dualbound = 2812510.928038, lowerbound=1193144.928038, norm of subgrad 1092.978924	dualbound = 2812510.928038, lowerbound=1193144.928038, norm of subgrad 40.061610	 stepsize= 1.000000 
-dualbound = 2812681.346413, lowerbound=1189257.346413, norm of subgrad 1091.194917	dualbound = 2812681.346413, lowerbound=1189257.346413, norm of subgrad 40.241998	 stepsize= 1.000000 
-dualbound = 2812807.557321, lowerbound=1194464.557321, norm of subgrad 1093.608960	dualbound = 2812807.557321, lowerbound=1194464.557321, norm of subgrad 40.524202	 stepsize= 1.000000 
-dualbound = 2812979.258458, lowerbound=1188227.258458, norm of subgrad 1090.710437	dualbound = 2812979.258458, lowerbound=1188227.258458, norm of subgrad 39.921187	 stepsize= 1.000000 
-dualbound = 2813124.976266, lowerbound=1198712.976266, norm of subgrad 1095.527716	dualbound = 2813124.976266, lowerbound=1198712.976266, norm of subgrad 40.171107	 stepsize= 1.000000 
-dualbound = 2813298.897256, lowerbound=1185557.897256, norm of subgrad 1089.509476	dualbound = 2813298.897256, lowerbound=1185557.897256, norm of subgrad 40.582274	 stepsize= 1.000000 
-dualbound = 2813425.705829, lowerbound=1196163.705829, norm of subgrad 1094.350815	dualbound = 2813425.705829, lowerbound=1196163.705829, norm of subgrad 39.582933	 stepsize= 1.000000 
-dualbound = 2813589.308416, lowerbound=1187879.308416, norm of subgrad 1090.545876	dualbound = 2813589.308416, lowerbound=1187879.308416, norm of subgrad 39.681262	 stepsize= 1.000000 
-dualbound = 2813755.013954, lowerbound=1187719.013954, norm of subgrad 1090.493014	dualbound = 2813755.013954, lowerbound=1187719.013954, norm of subgrad 40.270405	 stepsize= 1.000000 
-dualbound = 2813860.079253, lowerbound=1191853.079253, norm of subgrad 1092.423031	dualbound = 2813860.079253, lowerbound=1191853.079253, norm of subgrad 40.497720	 stepsize= 1.000000 
-dualbound = 2814019.836264, lowerbound=1196179.836264, norm of subgrad 1094.380115	dualbound = 2814019.836264, lowerbound=1196179.836264, norm of subgrad 40.592573	 stepsize= 1.000000 
-dualbound = 2814169.823707, lowerbound=1191799.823707, norm of subgrad 1092.372566	dualbound = 2814169.823707, lowerbound=1191799.823707, norm of subgrad 40.348326	 stepsize= 1.000000 
-dualbound = 2814355.695672, lowerbound=1193019.695672, norm of subgrad 1092.906536	dualbound = 2814355.695672, lowerbound=1193019.695672, norm of subgrad 40.135669	 stepsize= 1.000000 
-dualbound = 2814471.454658, lowerbound=1190635.454658, norm of subgrad 1091.807426	dualbound = 2814471.454658, lowerbound=1190635.454658, norm of subgrad 39.035356	 stepsize= 1.000000 
-dualbound = 2814667.224423, lowerbound=1194815.224423, norm of subgrad 1093.734988	dualbound = 2814667.224423, lowerbound=1194815.224423, norm of subgrad 40.457011	 stepsize= 1.000000 
-dualbound = 2814781.232911, lowerbound=1197072.232911, norm of subgrad 1094.793238	dualbound = 2814781.232911, lowerbound=1197072.232911, norm of subgrad 40.174724	 stepsize= 1.000000 
-dualbound = 2814943.631025, lowerbound=1192614.631025, norm of subgrad 1092.723492	dualbound = 2814943.631025, lowerbound=1192614.631025, norm of subgrad 39.904863	 stepsize= 1.000000 
-dualbound = 2815103.839206, lowerbound=1191726.839206, norm of subgrad 1092.335955	dualbound = 2815103.839206, lowerbound=1191726.839206, norm of subgrad 40.388218	 stepsize= 1.000000 
-dualbound = 2815228.051149, lowerbound=1189987.051149, norm of subgrad 1091.561749	dualbound = 2815228.051149, lowerbound=1189987.051149, norm of subgrad 40.548883	 stepsize= 1.000000 
-dualbound = 2815367.606929, lowerbound=1193484.606929, norm of subgrad 1093.141165	dualbound = 2815367.606929, lowerbound=1193484.606929, norm of subgrad 40.156641	 stepsize= 1.000000 
-dualbound = 2815543.320999, lowerbound=1190994.320999, norm of subgrad 1092.007931	dualbound = 2815543.320999, lowerbound=1190994.320999, norm of subgrad 40.776391	 stepsize= 1.000000 
-dualbound = 2815685.427900, lowerbound=1192070.427900, norm of subgrad 1092.490013	dualbound = 2815685.427900, lowerbound=1192070.427900, norm of subgrad 40.076264	 stepsize= 1.000000 
-dualbound = 2815838.732627, lowerbound=1191377.732627, norm of subgrad 1092.148677	dualbound = 2815838.732627, lowerbound=1191377.732627, norm of subgrad 39.551292	 stepsize= 1.000000 
-dualbound = 2816007.906409, lowerbound=1188743.906409, norm of subgrad 1090.939460	dualbound = 2816007.906409, lowerbound=1188743.906409, norm of subgrad 39.675859	 stepsize= 1.000000 
-dualbound = 2816166.471873, lowerbound=1190944.471873, norm of subgrad 1091.995637	dualbound = 2816166.471873, lowerbound=1190944.471873, norm of subgrad 40.848078	 stepsize= 1.000000 
-dualbound = 2816292.269639, lowerbound=1190677.269639, norm of subgrad 1091.848556	dualbound = 2816292.269639, lowerbound=1190677.269639, norm of subgrad 39.771821	 stepsize= 1.000000 
-dualbound = 2816447.841381, lowerbound=1194220.841381, norm of subgrad 1093.473292	dualbound = 2816447.841381, lowerbound=1194220.841381, norm of subgrad 40.231477	 stepsize= 1.000000 
-dualbound = 2816598.841594, lowerbound=1192579.841594, norm of subgrad 1092.741434	dualbound = 2816598.841594, lowerbound=1192579.841594, norm of subgrad 40.681694	 stepsize= 1.000000 
-dualbound = 2816736.239921, lowerbound=1192943.239921, norm of subgrad 1092.914562	dualbound = 2816736.239921, lowerbound=1192943.239921, norm of subgrad 40.698874	 stepsize= 1.000000 
-dualbound = 2816872.591680, lowerbound=1189485.591680, norm of subgrad 1091.310035	dualbound = 2816872.591680, lowerbound=1189485.591680, norm of subgrad 40.104261	 stepsize= 1.000000 
-dualbound = 2817055.006373, lowerbound=1193382.006373, norm of subgrad 1093.103383	dualbound = 2817055.006373, lowerbound=1193382.006373, norm of subgrad 40.931830	 stepsize= 1.000000 
-dualbound = 2817200.624017, lowerbound=1193266.624017, norm of subgrad 1093.049232	dualbound = 2817200.624017, lowerbound=1193266.624017, norm of subgrad 40.442770	 stepsize= 1.000000 
-dualbound = 2817343.415387, lowerbound=1194010.415387, norm of subgrad 1093.375697	dualbound = 2817343.415387, lowerbound=1194010.415387, norm of subgrad 40.034877	 stepsize= 1.000000 
-dualbound = 2817497.960404, lowerbound=1193511.960404, norm of subgrad 1093.153219	dualbound = 2817497.960404, lowerbound=1193511.960404, norm of subgrad 40.330448	 stepsize= 1.000000 
-dualbound = 2817627.641331, lowerbound=1190867.641331, norm of subgrad 1091.961831	dualbound = 2817627.641331, lowerbound=1190867.641331, norm of subgrad 40.530000	 stepsize= 1.000000 
-dualbound = 2817772.645769, lowerbound=1193548.645769, norm of subgrad 1093.175030	dualbound = 2817772.645769, lowerbound=1193548.645769, norm of subgrad 40.348537	 stepsize= 1.000000 
-dualbound = 2817928.086796, lowerbound=1192204.086796, norm of subgrad 1092.550267	dualbound = 2817928.086796, lowerbound=1192204.086796, norm of subgrad 40.217422	 stepsize= 1.000000 
-dualbound = 2818094.499732, lowerbound=1194121.499732, norm of subgrad 1093.370248	dualbound = 2818094.499732, lowerbound=1194121.499732, norm of subgrad 38.773869	 stepsize= 1.000000 
-dualbound = 2818284.846535, lowerbound=1190033.846535, norm of subgrad 1091.519971	dualbound = 2818284.846535, lowerbound=1190033.846535, norm of subgrad 39.652828	 stepsize= 1.000000 
-dualbound = 2818396.825291, lowerbound=1198593.825291, norm of subgrad 1095.461010	dualbound = 2818396.825291, lowerbound=1198593.825291, norm of subgrad 39.407851	 stepsize= 1.000000 
-dualbound = 2818539.549888, lowerbound=1189220.549888, norm of subgrad 1091.195010	dualbound = 2818539.549888, lowerbound=1189220.549888, norm of subgrad 40.357460	 stepsize= 1.000000 
-dualbound = 2818673.001337, lowerbound=1191231.001337, norm of subgrad 1092.087451	dualbound = 2818673.001337, lowerbound=1191231.001337, norm of subgrad 39.464559	 stepsize= 1.000000 
-dualbound = 2818845.555241, lowerbound=1193736.555241, norm of subgrad 1093.249082	dualbound = 2818845.555241, lowerbound=1193736.555241, norm of subgrad 40.367733	 stepsize= 1.000000 
-dualbound = 2818994.957534, lowerbound=1193029.957534, norm of subgrad 1092.893846	dualbound = 2818994.957534, lowerbound=1193029.957534, norm of subgrad 39.196968	 stepsize= 1.000000 
-dualbound = 2819153.108118, lowerbound=1193392.108118, norm of subgrad 1093.054943	dualbound = 2819153.108118, lowerbound=1193392.108118, norm of subgrad 39.180998	 stepsize= 1.000000 
-dualbound = 2819289.688440, lowerbound=1192605.688440, norm of subgrad 1092.737246	dualbound = 2819289.688440, lowerbound=1192605.688440, norm of subgrad 40.069693	 stepsize= 1.000000 
-dualbound = 2819419.423893, lowerbound=1193169.423893, norm of subgrad 1092.987385	dualbound = 2819419.423893, lowerbound=1193169.423893, norm of subgrad 39.771038	 stepsize= 1.000000 
-dualbound = 2819599.594768, lowerbound=1195557.594768, norm of subgrad 1094.093047	dualbound = 2819599.594768, lowerbound=1195557.594768, norm of subgrad 40.769730	 stepsize= 1.000000 
-dualbound = 2819715.289504, lowerbound=1191427.289504, norm of subgrad 1092.230877	dualbound = 2819715.289504, lowerbound=1191427.289504, norm of subgrad 40.702515	 stepsize= 1.000000 
-dualbound = 2819837.989631, lowerbound=1194180.989631, norm of subgrad 1093.491650	dualbound = 2819837.989631, lowerbound=1194180.989631, norm of subgrad 40.812990	 stepsize= 1.000000 
-dualbound = 2820011.832617, lowerbound=1194252.832617, norm of subgrad 1093.524043	dualbound = 2820011.832617, lowerbound=1194252.832617, norm of subgrad 41.422735	 stepsize= 1.000000 
-dualbound = 2820159.853856, lowerbound=1192317.853856, norm of subgrad 1092.585857	dualbound = 2820159.853856, lowerbound=1192317.853856, norm of subgrad 39.673937	 stepsize= 1.000000 
-dualbound = 2820314.189815, lowerbound=1192378.189815, norm of subgrad 1092.630857	dualbound = 2820314.189815, lowerbound=1192378.189815, norm of subgrad 40.228547	 stepsize= 1.000000 
-dualbound = 2820476.568778, lowerbound=1194579.568778, norm of subgrad 1093.591591	dualbound = 2820476.568778, lowerbound=1194579.568778, norm of subgrad 39.056100	 stepsize= 1.000000 
-dualbound = 2820641.124409, lowerbound=1193966.124409, norm of subgrad 1093.338522	dualbound = 2820641.124409, lowerbound=1193966.124409, norm of subgrad 39.844142	 stepsize= 1.000000 
-dualbound = 2820750.282724, lowerbound=1196407.282724, norm of subgrad 1094.473975	dualbound = 2820750.282724, lowerbound=1196407.282724, norm of subgrad 39.688264	 stepsize= 1.000000 
-dualbound = 2820920.037978, lowerbound=1190248.037978, norm of subgrad 1091.631823	dualbound = 2820920.037978, lowerbound=1190248.037978, norm of subgrad 39.771287	 stepsize= 1.000000 
-dualbound = 2821065.181177, lowerbound=1195049.181177, norm of subgrad 1093.796682	dualbound = 2821065.181177, lowerbound=1195049.181177, norm of subgrad 38.563496	 stepsize= 1.000000 
-dualbound = 2821236.697147, lowerbound=1190886.697147, norm of subgrad 1091.939420	dualbound = 2821236.697147, lowerbound=1190886.697147, norm of subgrad 40.205920	 stepsize= 1.000000 
-dualbound = 2821334.694470, lowerbound=1190640.694470, norm of subgrad 1091.856078	dualbound = 2821334.694470, lowerbound=1190640.694470, norm of subgrad 40.087371	 stepsize= 1.000000 
-dualbound = 2821495.791500, lowerbound=1189269.791500, norm of subgrad 1091.196495	dualbound = 2821495.791500, lowerbound=1189269.791500, norm of subgrad 40.013711	 stepsize= 1.000000 
-dualbound = 2821664.693947, lowerbound=1197323.693947, norm of subgrad 1094.916752	dualbound = 2821664.693947, lowerbound=1197323.693947, norm of subgrad 41.084090	 stepsize= 1.000000 
-dualbound = 2821764.611949, lowerbound=1197863.611949, norm of subgrad 1095.153237	dualbound = 2821764.611949, lowerbound=1197863.611949, norm of subgrad 39.961456	 stepsize= 1.000000 
-dualbound = 2821942.277269, lowerbound=1192435.277269, norm of subgrad 1092.680318	dualbound = 2821942.277269, lowerbound=1192435.277269, norm of subgrad 41.142014	 stepsize= 1.000000 
-dualbound = 2822057.416602, lowerbound=1193206.416602, norm of subgrad 1093.009797	dualbound = 2822057.416602, lowerbound=1193206.416602, norm of subgrad 39.738386	 stepsize= 1.000000 
-dualbound = 2822273.941882, lowerbound=1191659.941882, norm of subgrad 1092.310369	dualbound = 2822273.941882, lowerbound=1191659.941882, norm of subgrad 41.213169	 stepsize= 1.000000 
-dualbound = 2822364.585431, lowerbound=1194212.585431, norm of subgrad 1093.487808	dualbound = 2822364.585431, lowerbound=1194212.585431, norm of subgrad 39.920465	 stepsize= 1.000000 
-dualbound = 2822520.103346, lowerbound=1196591.103346, norm of subgrad 1094.570739	dualbound = 2822520.103346, lowerbound=1196591.103346, norm of subgrad 40.614258	 stepsize= 1.000000 
-dualbound = 2822692.824516, lowerbound=1190482.824516, norm of subgrad 1091.721954	dualbound = 2822692.824516, lowerbound=1190482.824516, norm of subgrad 39.328376	 stepsize= 1.000000 
-dualbound = 2822846.414402, lowerbound=1196324.414402, norm of subgrad 1094.427894	dualbound = 2822846.414402, lowerbound=1196324.414402, norm of subgrad 40.019869	 stepsize= 1.000000 
-dualbound = 2822974.244928, lowerbound=1195960.244928, norm of subgrad 1094.259679	dualbound = 2822974.244928, lowerbound=1195960.244928, norm of subgrad 39.646318	 stepsize= 1.000000 
-dualbound = 2823130.961965, lowerbound=1190235.961965, norm of subgrad 1091.645529	dualbound = 2823130.961965, lowerbound=1190235.961965, norm of subgrad 40.133739	 stepsize= 1.000000 
-dualbound = 2823270.026155, lowerbound=1191703.026155, norm of subgrad 1092.315900	dualbound = 2823270.026155, lowerbound=1191703.026155, norm of subgrad 39.875609	 stepsize= 1.000000 
-dualbound = 2823431.957207, lowerbound=1195999.957207, norm of subgrad 1094.253150	dualbound = 2823431.957207, lowerbound=1195999.957207, norm of subgrad 39.394556	 stepsize= 1.000000 
-dualbound = 2823577.343651, lowerbound=1197339.343651, norm of subgrad 1094.875492	dualbound = 2823577.343651, lowerbound=1197339.343651, norm of subgrad 39.476404	 stepsize= 1.000000 
-dualbound = 2823739.084752, lowerbound=1193350.084752, norm of subgrad 1093.034805	dualbound = 2823739.084752, lowerbound=1193350.084752, norm of subgrad 39.201290	 stepsize= 1.000000 
-dualbound = 2823893.377307, lowerbound=1197644.377307, norm of subgrad 1095.002912	dualbound = 2823893.377307, lowerbound=1197644.377307, norm of subgrad 39.259299	 stepsize= 1.000000 
-dualbound = 2824017.537359, lowerbound=1193112.537359, norm of subgrad 1092.952212	dualbound = 2824017.537359, lowerbound=1193112.537359, norm of subgrad 39.448195	 stepsize= 1.000000 
-dualbound = 2824173.217175, lowerbound=1194412.217175, norm of subgrad 1093.538393	dualbound = 2824173.217175, lowerbound=1194412.217175, norm of subgrad 39.619185	 stepsize= 1.000000 
-dualbound = 2824305.273014, lowerbound=1192953.273014, norm of subgrad 1092.911375	dualbound = 2824305.273014, lowerbound=1192953.273014, norm of subgrad 40.423457	 stepsize= 1.000000 
-dualbound = 2824434.074018, lowerbound=1195556.074018, norm of subgrad 1094.093266	dualbound = 2824434.074018, lowerbound=1195556.074018, norm of subgrad 40.159694	 stepsize= 1.000000 
-dualbound = 2824619.169792, lowerbound=1190841.169792, norm of subgrad 1091.923610	dualbound = 2824619.169792, lowerbound=1190841.169792, norm of subgrad 40.510440	 stepsize= 1.000000 
-dualbound = 2824727.076574, lowerbound=1195611.076574, norm of subgrad 1094.095552	dualbound = 2824727.076574, lowerbound=1195611.076574, norm of subgrad 39.267121	 stepsize= 1.000000 
-dualbound = 2824910.495102, lowerbound=1195451.495102, norm of subgrad 1094.019879	dualbound = 2824910.495102, lowerbound=1195451.495102, norm of subgrad 40.142478	 stepsize= 1.000000 
-dualbound = 2825032.398499, lowerbound=1194897.398499, norm of subgrad 1093.793581	dualbound = 2825032.398499, lowerbound=1194897.398499, norm of subgrad 40.111138	 stepsize= 1.000000 
-dualbound = 2825195.426933, lowerbound=1189406.426933, norm of subgrad 1091.236192	dualbound = 2825195.426933, lowerbound=1189406.426933, norm of subgrad 39.408482	 stepsize= 1.000000 
-dualbound = 2825348.206009, lowerbound=1196705.206009, norm of subgrad 1094.604589	dualbound = 2825348.206009, lowerbound=1196705.206009, norm of subgrad 40.084649	 stepsize= 1.000000 
-dualbound = 2825482.861303, lowerbound=1194287.861303, norm of subgrad 1093.535487	dualbound = 2825482.861303, lowerbound=1194287.861303, norm of subgrad 40.824690	 stepsize= 1.000000 
-dualbound = 2825601.153805, lowerbound=1197164.153805, norm of subgrad 1094.836131	dualbound = 2825601.153805, lowerbound=1197164.153805, norm of subgrad 40.252857	 stepsize= 1.000000 
-dualbound = 2825767.301196, lowerbound=1196217.301196, norm of subgrad 1094.383526	dualbound = 2825767.301196, lowerbound=1196217.301196, norm of subgrad 40.300712	 stepsize= 1.000000 
-dualbound = 2825907.546920, lowerbound=1191463.546920, norm of subgrad 1092.214057	dualbound = 2825907.546920, lowerbound=1191463.546920, norm of subgrad 40.102939	 stepsize= 1.000000 
-dualbound = 2826076.336843, lowerbound=1192080.336843, norm of subgrad 1092.497751	dualbound = 2826076.336843, lowerbound=1192080.336843, norm of subgrad 40.494320	 stepsize= 1.000000 
-dualbound = 2826205.187752, lowerbound=1194749.187752, norm of subgrad 1093.713942	dualbound = 2826205.187752, lowerbound=1194749.187752, norm of subgrad 39.872935	 stepsize= 1.000000 
-dualbound = 2826374.564869, lowerbound=1195526.564869, norm of subgrad 1094.043219	dualbound = 2826374.564869, lowerbound=1195526.564869, norm of subgrad 39.665818	 stepsize= 1.000000 
-dualbound = 2826503.135674, lowerbound=1195000.135674, norm of subgrad 1093.790261	dualbound = 2826503.135674, lowerbound=1195000.135674, norm of subgrad 38.801686	 stepsize= 1.000000 
-dualbound = 2826690.017968, lowerbound=1192930.017968, norm of subgrad 1092.852240	dualbound = 2826690.017968, lowerbound=1192930.017968, norm of subgrad 39.785453	 stepsize= 1.000000 
-dualbound = 2826794.711665, lowerbound=1192591.711665, norm of subgrad 1092.696990	dualbound = 2826794.711665, lowerbound=1192591.711665, norm of subgrad 38.725879	 stepsize= 1.000000 
-dualbound = 2826978.298381, lowerbound=1194374.298381, norm of subgrad 1093.528828	dualbound = 2826978.298381, lowerbound=1194374.298381, norm of subgrad 40.181920	 stepsize= 1.000000 
-dualbound = 2827098.050283, lowerbound=1192554.050283, norm of subgrad 1092.699433	dualbound = 2827098.050283, lowerbound=1192554.050283, norm of subgrad 39.468366	 stepsize= 1.000000 
-dualbound = 2827256.283593, lowerbound=1194733.283593, norm of subgrad 1093.745987	dualbound = 2827256.283593, lowerbound=1194733.283593, norm of subgrad 41.294471	 stepsize= 1.000000 
-dualbound = 2827365.952610, lowerbound=1196193.952610, norm of subgrad 1094.373315	dualbound = 2827365.952610, lowerbound=1196193.952610, norm of subgrad 39.606426	 stepsize= 1.000000 
-dualbound = 2827551.769394, lowerbound=1194385.769394, norm of subgrad 1093.536817	dualbound = 2827551.769394, lowerbound=1194385.769394, norm of subgrad 40.284200	 stepsize= 1.000000 
-dualbound = 2827692.262313, lowerbound=1195177.262313, norm of subgrad 1093.934304	dualbound = 2827692.262313, lowerbound=1195177.262313, norm of subgrad 40.687749	 stepsize= 1.000000 
-dualbound = 2827817.548403, lowerbound=1189220.548403, norm of subgrad 1091.195468	dualbound = 2827817.548403, lowerbound=1189220.548403, norm of subgrad 40.153282	 stepsize= 1.000000 
-dualbound = 2827992.258526, lowerbound=1196240.258526, norm of subgrad 1094.362490	dualbound = 2827992.258526, lowerbound=1196240.258526, norm of subgrad 39.543775	 stepsize= 1.000000 
-dualbound = 2828142.987921, lowerbound=1193335.987921, norm of subgrad 1093.067696	dualbound = 2828142.987921, lowerbound=1193335.987921, norm of subgrad 40.146350	 stepsize= 1.000000 
-dualbound = 2828265.135054, lowerbound=1196593.135054, norm of subgrad 1094.562075	dualbound = 2828265.135054, lowerbound=1196593.135054, norm of subgrad 39.939293	 stepsize= 1.000000 
-dualbound = 2828424.417981, lowerbound=1199210.417981, norm of subgrad 1095.752900	dualbound = 2828424.417981, lowerbound=1199210.417981, norm of subgrad 40.289985	 stepsize= 1.000000 
-dualbound = 2828562.812685, lowerbound=1192330.812685, norm of subgrad 1092.610092	dualbound = 2828562.812685, lowerbound=1192330.812685, norm of subgrad 40.054896	 stepsize= 1.000000 
-dualbound = 2828715.090990, lowerbound=1196860.090990, norm of subgrad 1094.661176	dualbound = 2828715.090990, lowerbound=1196860.090990, norm of subgrad 39.689776	 stepsize= 1.000000 
-dualbound = 2828867.546407, lowerbound=1194372.546407, norm of subgrad 1093.513853	dualbound = 2828867.546407, lowerbound=1194372.546407, norm of subgrad 39.401211	 stepsize= 1.000000 
-dualbound = 2829005.331318, lowerbound=1195623.331318, norm of subgrad 1094.148222	dualbound = 2829005.331318, lowerbound=1195623.331318, norm of subgrad 40.924136	 stepsize= 1.000000 
-dualbound = 2829137.511323, lowerbound=1197265.511323, norm of subgrad 1094.877396	dualbound = 2829137.511323, lowerbound=1197265.511323, norm of subgrad 40.288708	 stepsize= 1.000000 
-dualbound = 2829300.415812, lowerbound=1194396.415812, norm of subgrad 1093.538484	dualbound = 2829300.415812, lowerbound=1194396.415812, norm of subgrad 39.911208	 stepsize= 1.000000 
-dualbound = 2829455.057967, lowerbound=1197579.057967, norm of subgrad 1095.017378	dualbound = 2829455.057967, lowerbound=1197579.057967, norm of subgrad 40.480145	 stepsize= 1.000000 
-dualbound = 2829607.344886, lowerbound=1193881.344886, norm of subgrad 1093.279628	dualbound = 2829607.344886, lowerbound=1193881.344886, norm of subgrad 39.131661	 stepsize= 1.000000 
-dualbound = 2829751.983471, lowerbound=1193998.983471, norm of subgrad 1093.356750	dualbound = 2829751.983471, lowerbound=1193998.983471, norm of subgrad 39.681716	 stepsize= 1.000000 
-dualbound = 2829909.555176, lowerbound=1195975.555176, norm of subgrad 1094.240629	dualbound = 2829909.555176, lowerbound=1195975.555176, norm of subgrad 39.301039	 stepsize= 1.000000 
-dualbound = 2830025.778213, lowerbound=1193065.778213, norm of subgrad 1092.961929	dualbound = 2830025.778213, lowerbound=1193065.778213, norm of subgrad 40.202277	 stepsize= 1.000000 
-dualbound = 2830166.131827, lowerbound=1195432.131827, norm of subgrad 1094.023369	dualbound = 2830166.131827, lowerbound=1195432.131827, norm of subgrad 39.941878	 stepsize= 1.000000 
-dualbound = 2830318.170118, lowerbound=1192484.170118, norm of subgrad 1092.668372	dualbound = 2830318.170118, lowerbound=1192484.170118, norm of subgrad 39.900355	 stepsize= 1.000000 
-dualbound = 2830489.380037, lowerbound=1196720.380037, norm of subgrad 1094.599644	dualbound = 2830489.380037, lowerbound=1196720.380037, norm of subgrad 39.990123	 stepsize= 1.000000 
-dualbound = 2830615.359920, lowerbound=1196146.359920, norm of subgrad 1094.331924	dualbound = 2830615.359920, lowerbound=1196146.359920, norm of subgrad 39.268052	 stepsize= 1.000000 
-dualbound = 2830781.084706, lowerbound=1194575.084706, norm of subgrad 1093.593199	dualbound = 2830781.084706, lowerbound=1194575.084706, norm of subgrad 39.201081	 stepsize= 1.000000 
-dualbound = 2830926.930922, lowerbound=1196459.930922, norm of subgrad 1094.458739	dualbound = 2830926.930922, lowerbound=1196459.930922, norm of subgrad 39.062082	 stepsize= 1.000000 
-dualbound = 2831078.693214, lowerbound=1195395.693214, norm of subgrad 1094.005801	dualbound = 2831078.693214, lowerbound=1195395.693214, norm of subgrad 40.059484	 stepsize= 1.000000 
-dualbound = 2831224.405258, lowerbound=1196076.405258, norm of subgrad 1094.320522	dualbound = 2831224.405258, lowerbound=1196076.405258, norm of subgrad 40.083813	 stepsize= 1.000000 
-dualbound = 2831331.047857, lowerbound=1190876.047857, norm of subgrad 1091.952402	dualbound = 2831331.047857, lowerbound=1190876.047857, norm of subgrad 39.882861	 stepsize= 1.000000 
-dualbound = 2831516.227716, lowerbound=1197291.227716, norm of subgrad 1094.850322	dualbound = 2831516.227716, lowerbound=1197291.227716, norm of subgrad 39.889596	 stepsize= 1.000000 
-dualbound = 2831651.492278, lowerbound=1198410.492278, norm of subgrad 1095.390110	dualbound = 2831651.492278, lowerbound=1198410.492278, norm of subgrad 40.053272	 stepsize= 1.000000 
-dualbound = 2831804.435225, lowerbound=1193670.435225, norm of subgrad 1093.218384	dualbound = 2831804.435225, lowerbound=1193670.435225, norm of subgrad 40.111631	 stepsize= 1.000000 
-dualbound = 2831927.890682, lowerbound=1196282.890682, norm of subgrad 1094.389277	dualbound = 2831927.890682, lowerbound=1196282.890682, norm of subgrad 39.095466	 stepsize= 1.000000 
-dualbound = 2832115.364357, lowerbound=1195874.364357, norm of subgrad 1094.191649	dualbound = 2832115.364357, lowerbound=1195874.364357, norm of subgrad 39.603960	 stepsize= 1.000000 
-dualbound = 2832255.669438, lowerbound=1194932.669438, norm of subgrad 1093.764449	dualbound = 2832255.669438, lowerbound=1194932.669438, norm of subgrad 39.093543	 stepsize= 1.000000 
-dualbound = 2832379.622112, lowerbound=1200575.622112, norm of subgrad 1096.406230	dualbound = 2832379.622112, lowerbound=1200575.622112, norm of subgrad 40.681110	 stepsize= 1.000000 
-dualbound = 2832490.231400, lowerbound=1194689.231400, norm of subgrad 1093.709848	dualbound = 2832490.231400, lowerbound=1194689.231400, norm of subgrad 40.281625	 stepsize= 1.000000 
-dualbound = 2832678.022275, lowerbound=1192726.022275, norm of subgrad 1092.783612	dualbound = 2832678.022275, lowerbound=1192726.022275, norm of subgrad 40.469629	 stepsize= 1.000000 
-dualbound = 2832815.722175, lowerbound=1199436.722175, norm of subgrad 1095.828327	dualbound = 2832815.722175, lowerbound=1199436.722175, norm of subgrad 39.251750	 stepsize= 1.000000 
-dualbound = 2832971.446349, lowerbound=1193168.446349, norm of subgrad 1092.946223	dualbound = 2832971.446349, lowerbound=1193168.446349, norm of subgrad 38.970812	 stepsize= 1.000000 
-dualbound = 2833122.356386, lowerbound=1194946.356386, norm of subgrad 1093.783505	dualbound = 2833122.356386, lowerbound=1194946.356386, norm of subgrad 39.584214	 stepsize= 1.000000 
-dualbound = 2833247.148575, lowerbound=1191796.148575, norm of subgrad 1092.334266	dualbound = 2833247.148575, lowerbound=1191796.148575, norm of subgrad 39.022970	 stepsize= 1.000000 
-dualbound = 2833438.159650, lowerbound=1197348.159650, norm of subgrad 1094.820606	dualbound = 2833438.159650, lowerbound=1197348.159650, norm of subgrad 38.405873	 stepsize= 1.000000 
-dualbound = 2833595.353927, lowerbound=1193763.353927, norm of subgrad 1093.254021	dualbound = 2833595.353927, lowerbound=1193763.353927, norm of subgrad 39.977422	 stepsize= 1.000000 
-dualbound = 2833676.611221, lowerbound=1198112.611221, norm of subgrad 1095.249109	dualbound = 2833676.611221, lowerbound=1198112.611221, norm of subgrad 39.233370	 stepsize= 1.000000 
-dualbound = 2833847.375553, lowerbound=1199161.375553, norm of subgrad 1095.718201	dualbound = 2833847.375553, lowerbound=1199161.375553, norm of subgrad 40.096937	 stepsize= 1.000000 
-dualbound = 2833973.449098, lowerbound=1192840.449098, norm of subgrad 1092.857012	dualbound = 2833973.449098, lowerbound=1192840.449098, norm of subgrad 40.274974	 stepsize= 1.000000 
-dualbound = 2834133.281810, lowerbound=1197209.281810, norm of subgrad 1094.843496	dualbound = 2834133.281810, lowerbound=1197209.281810, norm of subgrad 40.408325	 stepsize= 1.000000 
-dualbound = 2834256.504697, lowerbound=1193466.504697, norm of subgrad 1093.169477	dualbound = 2834256.504697, lowerbound=1193466.504697, norm of subgrad 40.941701	 stepsize= 1.000000 
-dualbound = 2834410.766577, lowerbound=1195077.766577, norm of subgrad 1093.871458	dualbound = 2834410.766577, lowerbound=1195077.766577, norm of subgrad 40.388883	 stepsize= 1.000000 
-dualbound = 2834560.493704, lowerbound=1196272.493704, norm of subgrad 1094.404173	dualbound = 2834560.493704, lowerbound=1196272.493704, norm of subgrad 39.971579	 stepsize= 1.000000 
-dualbound = 2834712.835534, lowerbound=1198576.835534, norm of subgrad 1095.450974	dualbound = 2834712.835534, lowerbound=1198576.835534, norm of subgrad 39.854006	 stepsize= 1.000000 
-dualbound = 2834843.769247, lowerbound=1194976.769247, norm of subgrad 1093.823463	dualbound = 2834843.769247, lowerbound=1194976.769247, norm of subgrad 40.049141	 stepsize= 1.000000 
-dualbound = 2835012.486832, lowerbound=1196476.486832, norm of subgrad 1094.468130	dualbound = 2835012.486832, lowerbound=1196476.486832, norm of subgrad 39.404538	 stepsize= 1.000000 
-dualbound = 2835174.504352, lowerbound=1191549.504352, norm of subgrad 1092.203966	dualbound = 2835174.504352, lowerbound=1191549.504352, norm of subgrad 39.013043	 stepsize= 1.000000 
-dualbound = 2835292.862738, lowerbound=1192671.862738, norm of subgrad 1092.785369	dualbound = 2835292.862738, lowerbound=1192671.862738, norm of subgrad 40.328134	 stepsize= 1.000000 
-dualbound = 2835435.494245, lowerbound=1195566.494245, norm of subgrad 1094.077920	dualbound = 2835435.494245, lowerbound=1195566.494245, norm of subgrad 39.782301	 stepsize= 1.000000 
-dualbound = 2835595.980883, lowerbound=1197732.980883, norm of subgrad 1095.048849	dualbound = 2835595.980883, lowerbound=1197732.980883, norm of subgrad 39.490336	 stepsize= 1.000000 
-dualbound = 2835731.093828, lowerbound=1193490.093828, norm of subgrad 1093.110284	dualbound = 2835731.093828, lowerbound=1193490.093828, norm of subgrad 39.180517	 stepsize= 1.000000 
-dualbound = 2835886.713800, lowerbound=1192250.713800, norm of subgrad 1092.566114	dualbound = 2835886.713800, lowerbound=1192250.713800, norm of subgrad 40.070188	 stepsize= 1.000000 
-dualbound = 2836037.144587, lowerbound=1197122.144587, norm of subgrad 1094.767165	dualbound = 2836037.144587, lowerbound=1197122.144587, norm of subgrad 39.286522	 stepsize= 1.000000 
-dualbound = 2836178.697072, lowerbound=1196014.697072, norm of subgrad 1094.295982	dualbound = 2836178.697072, lowerbound=1196014.697072, norm of subgrad 40.131689	 stepsize= 1.000000 
-dualbound = 2836314.336612, lowerbound=1195093.336612, norm of subgrad 1093.856177	dualbound = 2836314.336612, lowerbound=1195093.336612, norm of subgrad 39.542882	 stepsize= 1.000000 
-dualbound = 2836471.868966, lowerbound=1196401.868966, norm of subgrad 1094.458710	dualbound = 2836471.868966, lowerbound=1196401.868966, norm of subgrad 39.944115	 stepsize= 1.000000 
-dualbound = 2836606.089885, lowerbound=1197435.089885, norm of subgrad 1094.910083	dualbound = 2836606.089885, lowerbound=1197435.089885, norm of subgrad 39.079674	 stepsize= 1.000000 
-dualbound = 2836788.968038, lowerbound=1198992.968038, norm of subgrad 1095.629028	dualbound = 2836788.968038, lowerbound=1198992.968038, norm of subgrad 39.910878	 stepsize= 1.000000 
-dualbound = 2836881.678565, lowerbound=1199599.678565, norm of subgrad 1095.956513	dualbound = 2836881.678565, lowerbound=1199599.678565, norm of subgrad 40.171016	 stepsize= 1.000000 
-dualbound = 2837038.220893, lowerbound=1191745.220893, norm of subgrad 1092.324687	dualbound = 2837038.220893, lowerbound=1191745.220893, norm of subgrad 39.806310	 stepsize= 1.000000 
-dualbound = 2837212.544456, lowerbound=1193437.544456, norm of subgrad 1093.109576	dualbound = 2837212.544456, lowerbound=1193437.544456, norm of subgrad 40.315302	 stepsize= 1.000000 
-dualbound = 2837324.465282, lowerbound=1197044.465282, norm of subgrad 1094.766854	dualbound = 2837324.465282, lowerbound=1197044.465282, norm of subgrad 39.773368	 stepsize= 1.000000 
-dualbound = 2837488.344066, lowerbound=1195752.344066, norm of subgrad 1094.162394	dualbound = 2837488.344066, lowerbound=1195752.344066, norm of subgrad 40.035969	 stepsize= 1.000000 
-dualbound = 2837648.863102, lowerbound=1195712.863102, norm of subgrad 1094.129272	dualbound = 2837648.863102, lowerbound=1195712.863102, norm of subgrad 39.579275	 stepsize= 1.000000 
-dualbound = 2837795.729991, lowerbound=1198119.729991, norm of subgrad 1095.213555	dualbound = 2837795.729991, lowerbound=1198119.729991, norm of subgrad 38.985470	 stepsize= 1.000000 
-dualbound = 2837946.401354, lowerbound=1194281.401354, norm of subgrad 1093.487723	dualbound = 2837946.401354, lowerbound=1194281.401354, norm of subgrad 39.807931	 stepsize= 1.000000 
-dualbound = 2838066.088425, lowerbound=1196212.088425, norm of subgrad 1094.393480	dualbound = 2838066.088425, lowerbound=1196212.088425, norm of subgrad 40.058546	 stepsize= 1.000000 
-dualbound = 2838228.138983, lowerbound=1196153.138983, norm of subgrad 1094.359237	dualbound = 2838228.138983, lowerbound=1196153.138983, norm of subgrad 40.386267	 stepsize= 1.000000 
-dualbound = 2838371.250719, lowerbound=1193541.250719, norm of subgrad 1093.143289	dualbound = 2838371.250719, lowerbound=1193541.250719, norm of subgrad 39.548853	 stepsize= 1.000000 
-dualbound = 2838542.962112, lowerbound=1197893.962112, norm of subgrad 1095.113675	dualbound = 2838542.962112, lowerbound=1197893.962112, norm of subgrad 39.391768	 stepsize= 1.000000 
-dualbound = 2838672.089124, lowerbound=1197814.089124, norm of subgrad 1095.073554	dualbound = 2838672.089124, lowerbound=1197814.089124, norm of subgrad 38.744380	 stepsize= 1.000000 
-dualbound = 2838844.226765, lowerbound=1196195.226765, norm of subgrad 1094.344199	dualbound = 2838844.226765, lowerbound=1196195.226765, norm of subgrad 39.574457	 stepsize= 1.000000 
-dualbound = 2838934.956412, lowerbound=1197698.956412, norm of subgrad 1095.062535	dualbound = 2838934.956412, lowerbound=1197698.956412, norm of subgrad 39.417377	 stepsize= 1.000000 
-dualbound = 2839085.124119, lowerbound=1193878.124119, norm of subgrad 1093.310168	dualbound = 2839085.124119, lowerbound=1193878.124119, norm of subgrad 39.989595	 stepsize= 1.000000 
-dualbound = 2839222.522704, lowerbound=1197253.522704, norm of subgrad 1094.856850	dualbound = 2839222.522704, lowerbound=1197253.522704, norm of subgrad 39.942441	 stepsize= 1.000000 
-dualbound = 2839387.085271, lowerbound=1199543.085271, norm of subgrad 1095.932062	dualbound = 2839387.085271, lowerbound=1199543.085271, norm of subgrad 41.092123	 stepsize= 1.000000 
-dualbound = 2839505.012844, lowerbound=1196204.012844, norm of subgrad 1094.378825	dualbound = 2839505.012844, lowerbound=1196204.012844, norm of subgrad 39.735722	 stepsize= 1.000000 
-dualbound = 2839716.432825, lowerbound=1197402.432825, norm of subgrad 1094.886493	dualbound = 2839716.432825, lowerbound=1197402.432825, norm of subgrad 39.817333	 stepsize= 1.000000 
-dualbound = 2839843.577540, lowerbound=1191537.577540, norm of subgrad 1092.227805	dualbound = 2839843.577540, lowerbound=1191537.577540, norm of subgrad 39.384575	 stepsize= 1.000000 
-dualbound = 2839968.282685, lowerbound=1200112.282685, norm of subgrad 1096.137438	dualbound = 2839968.282685, lowerbound=1200112.282685, norm of subgrad 39.111445	 stepsize= 1.000000 
-dualbound = 2840133.727205, lowerbound=1198170.727205, norm of subgrad 1095.230445	dualbound = 2840133.727205, lowerbound=1198170.727205, norm of subgrad 39.044136	 stepsize= 1.000000 
-dualbound = 2840252.647739, lowerbound=1190047.647739, norm of subgrad 1091.562480	dualbound = 2840252.647739, lowerbound=1190047.647739, norm of subgrad 39.748214	 stepsize= 1.000000 
-dualbound = 2840424.536774, lowerbound=1192378.536774, norm of subgrad 1092.620948	dualbound = 2840424.536774, lowerbound=1192378.536774, norm of subgrad 40.173238	 stepsize= 1.000000 
-dualbound = 2840522.545206, lowerbound=1195296.545206, norm of subgrad 1093.963228	dualbound = 2840522.545206, lowerbound=1195296.545206, norm of subgrad 39.458946	 stepsize= 1.000000 
-dualbound = 2840686.070844, lowerbound=1200395.070844, norm of subgrad 1096.312944	dualbound = 2840686.070844, lowerbound=1200395.070844, norm of subgrad 40.872064	 stepsize= 1.000000 
-dualbound = 2840830.515860, lowerbound=1196526.515860, norm of subgrad 1094.496467	dualbound = 2840830.515860, lowerbound=1196526.515860, norm of subgrad 39.248503	 stepsize= 1.000000 
-dualbound = 2841014.855204, lowerbound=1196808.855204, norm of subgrad 1094.609453	dualbound = 2841014.855204, lowerbound=1196808.855204, norm of subgrad 39.310804	 stepsize= 1.000000 
-dualbound = 2841155.517722, lowerbound=1197874.517722, norm of subgrad 1095.107537	dualbound = 2841155.517722, lowerbound=1197874.517722, norm of subgrad 39.072529	 stepsize= 1.000000 
-dualbound = 2841284.511113, lowerbound=1194192.511113, norm of subgrad 1093.456223	dualbound = 2841284.511113, lowerbound=1194192.511113, norm of subgrad 39.786849	 stepsize= 1.000000 
-dualbound = 2841415.421661, lowerbound=1195695.421661, norm of subgrad 1094.162886	dualbound = 2841415.421661, lowerbound=1195695.421661, norm of subgrad 40.347373	 stepsize= 1.000000 
-dualbound = 2841557.937505, lowerbound=1195797.937505, norm of subgrad 1094.175917	dualbound = 2841557.937505, lowerbound=1195797.937505, norm of subgrad 39.566600	 stepsize= 1.000000 
-dualbound = 2841721.163231, lowerbound=1201975.163231, norm of subgrad 1097.028789	dualbound = 2841721.163231, lowerbound=1201975.163231, norm of subgrad 40.745868	 stepsize= 1.000000 
-dualbound = 2841848.596729, lowerbound=1199188.596729, norm of subgrad 1095.741574	dualbound = 2841848.596729, lowerbound=1199188.596729, norm of subgrad 39.855156	 stepsize= 1.000000 
-dualbound = 2841974.841238, lowerbound=1197925.841238, norm of subgrad 1095.192605	dualbound = 2841974.841238, lowerbound=1197925.841238, norm of subgrad 40.586260	 stepsize= 1.000000 
-dualbound = 2842112.645381, lowerbound=1197214.645381, norm of subgrad 1094.859646	dualbound = 2842112.645381, lowerbound=1197214.645381, norm of subgrad 40.506841	 stepsize= 1.000000 
-dualbound = 2842269.502650, lowerbound=1196404.502650, norm of subgrad 1094.468594	dualbound = 2842269.502650, lowerbound=1196404.502650, norm of subgrad 40.172842	 stepsize= 1.000000 
-dualbound = 2842450.914957, lowerbound=1194526.914957, norm of subgrad 1093.548771	dualbound = 2842450.914957, lowerbound=1194526.914957, norm of subgrad 38.773861	 stepsize= 1.000000 
-dualbound = 2842597.607329, lowerbound=1198051.607329, norm of subgrad 1095.193411	dualbound = 2842597.607329, lowerbound=1198051.607329, norm of subgrad 39.289851	 stepsize= 1.000000 
-dualbound = 2842715.049908, lowerbound=1195022.049908, norm of subgrad 1093.842790	dualbound = 2842715.049908, lowerbound=1195022.049908, norm of subgrad 39.842723	 stepsize= 1.000000 
-dualbound = 2842873.694492, lowerbound=1195411.694492, norm of subgrad 1093.989805	dualbound = 2842873.694492, lowerbound=1195411.694492, norm of subgrad 39.504994	 stepsize= 1.000000 
-dualbound = 2843005.355560, lowerbound=1198316.355560, norm of subgrad 1095.298295	dualbound = 2843005.355560, lowerbound=1198316.355560, norm of subgrad 38.647912	 stepsize= 1.000000 
-dualbound = 2843172.576435, lowerbound=1193379.576435, norm of subgrad 1093.071625	dualbound = 2843172.576435, lowerbound=1193379.576435, norm of subgrad 39.915171	 stepsize= 1.000000 
-dualbound = 2843296.619181, lowerbound=1198372.619181, norm of subgrad 1095.355933	dualbound = 2843296.619181, lowerbound=1198372.619181, norm of subgrad 39.446708	 stepsize= 1.000000 
-dualbound = 2843443.018535, lowerbound=1199514.018535, norm of subgrad 1095.871808	dualbound = 2843443.018535, lowerbound=1199514.018535, norm of subgrad 39.590395	 stepsize= 1.000000 
-dualbound = 2843604.602459, lowerbound=1197176.602459, norm of subgrad 1094.788839	dualbound = 2843604.602459, lowerbound=1197176.602459, norm of subgrad 39.339343	 stepsize= 1.000000 
-dualbound = 2843755.324508, lowerbound=1195354.324508, norm of subgrad 1094.012488	dualbound = 2843755.324508, lowerbound=1195354.324508, norm of subgrad 40.739686	 stepsize= 1.000000 
-dualbound = 2843866.870209, lowerbound=1196193.870209, norm of subgrad 1094.371907	dualbound = 2843866.870209, lowerbound=1196193.870209, norm of subgrad 39.592243	 stepsize= 1.000000 
-dualbound = 2844017.283174, lowerbound=1198876.283174, norm of subgrad 1095.607267	dualbound = 2844017.283174, lowerbound=1198876.283174, norm of subgrad 40.365988	 stepsize= 1.000000 
-dualbound = 2844191.511106, lowerbound=1198880.511106, norm of subgrad 1095.588203	dualbound = 2844191.511106, lowerbound=1198880.511106, norm of subgrad 40.090247	 stepsize= 1.000000 
-dualbound = 2844338.782426, lowerbound=1198848.782426, norm of subgrad 1095.562313	dualbound = 2844338.782426, lowerbound=1198848.782426, norm of subgrad 39.436928	 stepsize= 1.000000 
-dualbound = 2844441.980632, lowerbound=1190221.980632, norm of subgrad 1091.646454	dualbound = 2844441.980632, lowerbound=1190221.980632, norm of subgrad 39.663563	 stepsize= 1.000000 
-dualbound = 2844612.156999, lowerbound=1196996.156999, norm of subgrad 1094.745248	dualbound = 2844612.156999, lowerbound=1196996.156999, norm of subgrad 40.511435	 stepsize= 1.000000 
-dualbound = 2844744.193713, lowerbound=1195761.193713, norm of subgrad 1094.191114	dualbound = 2844744.193713, lowerbound=1195761.193713, norm of subgrad 40.311744	 stepsize= 1.000000 
-dualbound = 2844900.908956, lowerbound=1202419.908956, norm of subgrad 1097.210057	dualbound = 2844900.908956, lowerbound=1202419.908956, norm of subgrad 40.083853	 stepsize= 1.000000 
-dualbound = 2845050.828668, lowerbound=1197250.828668, norm of subgrad 1094.829132	dualbound = 2845050.828668, lowerbound=1197250.828668, norm of subgrad 39.369020	 stepsize= 1.000000 
-dualbound = 2845197.202377, lowerbound=1199179.202377, norm of subgrad 1095.695305	dualbound = 2845197.202377, lowerbound=1199179.202377, norm of subgrad 38.927801	 stepsize= 1.000000 
-dualbound = 2845343.383556, lowerbound=1194104.383556, norm of subgrad 1093.394432	dualbound = 2845343.383556, lowerbound=1194104.383556, norm of subgrad 39.410420	 stepsize= 1.000000 
-dualbound = 2845505.491129, lowerbound=1199457.491129, norm of subgrad 1095.838260	dualbound = 2845505.491129, lowerbound=1199457.491129, norm of subgrad 39.574077	 stepsize= 1.000000 
-dualbound = 2845617.262056, lowerbound=1197996.262056, norm of subgrad 1095.205580	dualbound = 2845617.262056, lowerbound=1197996.262056, norm of subgrad 39.884470	 stepsize= 1.000000 
-dualbound = 2845736.942295, lowerbound=1200144.942295, norm of subgrad 1096.161914	dualbound = 2845736.942295, lowerbound=1200144.942295, norm of subgrad 39.315140	 stepsize= 1.000000 
-dualbound = 2845929.671698, lowerbound=1198921.671698, norm of subgrad 1095.572303	dualbound = 2845929.671698, lowerbound=1198921.671698, norm of subgrad 39.366603	 stepsize= 1.000000 
-dualbound = 2846071.388256, lowerbound=1195911.388256, norm of subgrad 1094.213137	dualbound = 2846071.388256, lowerbound=1195911.388256, norm of subgrad 39.149924	 stepsize= 1.000000 
-dualbound = 2846209.308099, lowerbound=1196617.308099, norm of subgrad 1094.541597	dualbound = 2846209.308099, lowerbound=1196617.308099, norm of subgrad 39.267287	 stepsize= 1.000000 
-dualbound = 2846338.616697, lowerbound=1192969.616697, norm of subgrad 1092.878134	dualbound = 2846338.616697, lowerbound=1192969.616697, norm of subgrad 39.272237	 stepsize= 1.000000 
-dualbound = 2846476.642661, lowerbound=1198837.642661, norm of subgrad 1095.579136	dualbound = 2846476.642661, lowerbound=1198837.642661, norm of subgrad 39.925255	 stepsize= 1.000000 
-dualbound = 2846640.136139, lowerbound=1191769.136139, norm of subgrad 1092.310000	dualbound = 2846640.136139, lowerbound=1191769.136139, norm of subgrad 39.185373	 stepsize= 1.000000 
-dualbound = 2846769.698076, lowerbound=1193108.698076, norm of subgrad 1092.946338	dualbound = 2846769.698076, lowerbound=1193108.698076, norm of subgrad 39.402563	 stepsize= 1.000000 
-dualbound = 2846942.686258, lowerbound=1198428.686258, norm of subgrad 1095.377874	dualbound = 2846942.686258, lowerbound=1198428.686258, norm of subgrad 39.962335	 stepsize= 1.000000 
-dualbound = 2847052.675890, lowerbound=1196499.675890, norm of subgrad 1094.504763	dualbound = 2847052.675890, lowerbound=1196499.675890, norm of subgrad 39.382606	 stepsize= 1.000000 
-dualbound = 2847208.142651, lowerbound=1198161.142651, norm of subgrad 1095.246156	dualbound = 2847208.142651, lowerbound=1198161.142651, norm of subgrad 39.477421	 stepsize= 1.000000 
-dualbound = 2847355.419969, lowerbound=1195502.419969, norm of subgrad 1094.045438	dualbound = 2847355.419969, lowerbound=1195502.419969, norm of subgrad 39.752702	 stepsize= 1.000000 
-dualbound = 2847509.497543, lowerbound=1203517.497543, norm of subgrad 1097.717859	dualbound = 2847509.497543, lowerbound=1203517.497543, norm of subgrad 40.262608	 stepsize= 1.000000 
-dualbound = 2847652.972694, lowerbound=1200522.972694, norm of subgrad 1096.359418	dualbound = 2847652.972694, lowerbound=1200522.972694, norm of subgrad 40.304778	 stepsize= 1.000000 
-dualbound = 2847783.296870, lowerbound=1194775.296870, norm of subgrad 1093.698906	dualbound = 2847783.296870, lowerbound=1194775.296870, norm of subgrad 39.144913	 stepsize= 1.000000 
-dualbound = 2847925.478451, lowerbound=1196432.478451, norm of subgrad 1094.458075	dualbound = 2847925.478451, lowerbound=1196432.478451, norm of subgrad 39.346939	 stepsize= 1.000000 
-dualbound = 2848065.649367, lowerbound=1194970.649367, norm of subgrad 1093.811067	dualbound = 2848065.649367, lowerbound=1194970.649367, norm of subgrad 39.902016	 stepsize= 1.000000 
-dualbound = 2848190.078370, lowerbound=1197723.078370, norm of subgrad 1095.100031	dualbound = 2848190.078370, lowerbound=1197723.078370, norm of subgrad 40.563888	 stepsize= 1.000000 
-dualbound = 2848350.658965, lowerbound=1199183.658965, norm of subgrad 1095.727000	dualbound = 2848350.658965, lowerbound=1199183.658965, norm of subgrad 39.932200	 stepsize= 1.000000 
-dualbound = 2848491.439719, lowerbound=1196623.439719, norm of subgrad 1094.547596	dualbound = 2848491.439719, lowerbound=1196623.439719, norm of subgrad 39.392648	 stepsize= 1.000000 
-dualbound = 2848658.683611, lowerbound=1197976.683611, norm of subgrad 1095.138203	dualbound = 2848658.683611, lowerbound=1197976.683611, norm of subgrad 38.964649	 stepsize= 1.000000 
-dualbound = 2848816.550923, lowerbound=1200227.550923, norm of subgrad 1096.171771	dualbound = 2848816.550923, lowerbound=1200227.550923, norm of subgrad 39.023933	 stepsize= 1.000000 
-dualbound = 2848949.823380, lowerbound=1194212.823380, norm of subgrad 1093.437618	dualbound = 2848949.823380, lowerbound=1194212.823380, norm of subgrad 39.067537	 stepsize= 1.000000 
-dualbound = 2849064.164384, lowerbound=1203023.164384, norm of subgrad 1097.466247	dualbound = 2849064.164384, lowerbound=1203023.164384, norm of subgrad 39.030001	 stepsize= 1.000000 
-dualbound = 2849222.848900, lowerbound=1197794.848900, norm of subgrad 1095.069335	dualbound = 2849222.848900, lowerbound=1197794.848900, norm of subgrad 39.251554	 stepsize= 1.000000 
-dualbound = 2849345.728625, lowerbound=1196006.728625, norm of subgrad 1094.264926	dualbound = 2849345.728625, lowerbound=1196006.728625, norm of subgrad 39.139235	 stepsize= 1.000000 
-dualbound = 2849510.454807, lowerbound=1202103.454807, norm of subgrad 1097.067662	dualbound = 2849510.454807, lowerbound=1202103.454807, norm of subgrad 40.233396	 stepsize= 1.000000 
-dualbound = 2849637.821863, lowerbound=1195734.821863, norm of subgrad 1094.139763	dualbound = 2849637.821863, lowerbound=1195734.821863, norm of subgrad 39.170998	 stepsize= 1.000000 
-dualbound = 2849787.633273, lowerbound=1197753.633273, norm of subgrad 1095.079282	dualbound = 2849787.633273, lowerbound=1197753.633273, norm of subgrad 39.935090	 stepsize= 1.000000 
-dualbound = 2849917.501742, lowerbound=1199287.501742, norm of subgrad 1095.776210	dualbound = 2849917.501742, lowerbound=1199287.501742, norm of subgrad 39.596319	 stepsize= 1.000000 
-dualbound = 2850084.183725, lowerbound=1196896.183725, norm of subgrad 1094.650713	dualbound = 2850084.183725, lowerbound=1196896.183725, norm of subgrad 39.123931	 stepsize= 1.000000 
-dualbound = 2850240.210861, lowerbound=1193998.210861, norm of subgrad 1093.328958	dualbound = 2850240.210861, lowerbound=1193998.210861, norm of subgrad 39.064397	 stepsize= 1.000000 
-dualbound = 2850375.604378, lowerbound=1202719.604378, norm of subgrad 1097.318370	dualbound = 2850375.604378, lowerbound=1202719.604378, norm of subgrad 39.030674	 stepsize= 1.000000 
-dualbound = 2850502.065636, lowerbound=1191024.065636, norm of subgrad 1092.005067	dualbound = 2850502.065636, lowerbound=1191024.065636, norm of subgrad 39.717266	 stepsize= 1.000000 
-dualbound = 2850631.048495, lowerbound=1197543.048495, norm of subgrad 1095.014634	dualbound = 2850631.048495, lowerbound=1197543.048495, norm of subgrad 40.533725	 stepsize= 1.000000 
-dualbound = 2850783.503215, lowerbound=1196445.503215, norm of subgrad 1094.491436	dualbound = 2850783.503215, lowerbound=1196445.503215, norm of subgrad 40.230023	 stepsize= 1.000000 
-dualbound = 2850947.467585, lowerbound=1197661.467585, norm of subgrad 1095.007976	dualbound = 2850947.467585, lowerbound=1197661.467585, norm of subgrad 39.306035	 stepsize= 1.000000 
-dualbound = 2851086.757375, lowerbound=1197287.757375, norm of subgrad 1094.888011	dualbound = 2851086.757375, lowerbound=1197287.757375, norm of subgrad 40.389229	 stepsize= 1.000000 
-dualbound = 2851240.424729, lowerbound=1199981.424729, norm of subgrad 1096.075009	dualbound = 2851240.424729, lowerbound=1199981.424729, norm of subgrad 39.403900	 stepsize= 1.000000 
-dualbound = 2851372.349912, lowerbound=1197246.349912, norm of subgrad 1094.845811	dualbound = 2851372.349912, lowerbound=1197246.349912, norm of subgrad 39.660121	 stepsize= 1.000000 
-dualbound = 2851532.750349, lowerbound=1207621.750349, norm of subgrad 1099.557525	dualbound = 2851532.750349, lowerbound=1207621.750349, norm of subgrad 39.565142	 stepsize= 1.000000 
-dualbound = 2851659.474312, lowerbound=1196407.474311, norm of subgrad 1094.472236	dualbound = 2851659.474312, lowerbound=1196407.474311, norm of subgrad 39.858800	 stepsize= 1.000000 
-dualbound = 2851799.104535, lowerbound=1193925.104535, norm of subgrad 1093.318849	dualbound = 2851799.104535, lowerbound=1193925.104535, norm of subgrad 39.504813	 stepsize= 1.000000 
-dualbound = 2851928.874075, lowerbound=1197145.874075, norm of subgrad 1094.833263	dualbound = 2851928.874075, lowerbound=1197145.874075, norm of subgrad 40.543428	 stepsize= 1.000000 
-dualbound = 2852074.148381, lowerbound=1199391.148381, norm of subgrad 1095.851335	dualbound = 2852074.148381, lowerbound=1199391.148381, norm of subgrad 40.549652	 stepsize= 1.000000 
-dualbound = 2852218.273030, lowerbound=1196484.273030, norm of subgrad 1094.500924	dualbound = 2852218.273030, lowerbound=1196484.273030, norm of subgrad 39.901437	 stepsize= 1.000000 
-dualbound = 2852382.375660, lowerbound=1197365.375660, norm of subgrad 1094.912497	dualbound = 2852382.375660, lowerbound=1197365.375660, norm of subgrad 40.399290	 stepsize= 1.000000 
-dualbound = 2852518.003902, lowerbound=1195742.003902, norm of subgrad 1094.162695	dualbound = 2852518.003902, lowerbound=1195742.003902, norm of subgrad 39.819948	 stepsize= 1.000000 
-dualbound = 2852663.868814, lowerbound=1197762.868814, norm of subgrad 1095.061582	dualbound = 2852663.868814, lowerbound=1197762.868814, norm of subgrad 39.279319	 stepsize= 1.000000 
-dualbound = 2852855.306227, lowerbound=1200512.306227, norm of subgrad 1096.294808	dualbound = 2852855.306227, lowerbound=1200512.306227, norm of subgrad 39.261144	 stepsize= 1.000000 
-dualbound = 2852978.157572, lowerbound=1197157.157572, norm of subgrad 1094.795487	dualbound = 2852978.157572, lowerbound=1197157.157572, norm of subgrad 39.279146	 stepsize= 1.000000 
-dualbound = 2853082.914339, lowerbound=1195846.914339, norm of subgrad 1094.220688	dualbound = 2853082.914339, lowerbound=1195846.914339, norm of subgrad 39.708397	 stepsize= 1.000000 
-dualbound = 2853245.077568, lowerbound=1203142.077568, norm of subgrad 1097.513589	dualbound = 2853245.077568, lowerbound=1203142.077568, norm of subgrad 39.448235	 stepsize= 1.000000 
-dualbound = 2853418.600731, lowerbound=1195466.600731, norm of subgrad 1094.003474	dualbound = 2853418.600731, lowerbound=1195466.600731, norm of subgrad 39.376683	 stepsize= 1.000000 
-dualbound = 2853551.165272, lowerbound=1196552.165272, norm of subgrad 1094.491738	dualbound = 2853551.165272, lowerbound=1196552.165272, norm of subgrad 38.633723	 stepsize= 1.000000 
-dualbound = 2853685.794242, lowerbound=1197928.794242, norm of subgrad 1095.142363	dualbound = 2853685.794242, lowerbound=1197928.794242, norm of subgrad 39.276316	 stepsize= 1.000000 
-dualbound = 2853839.553344, lowerbound=1198366.553344, norm of subgrad 1095.338556	dualbound = 2853839.553344, lowerbound=1198366.553344, norm of subgrad 39.417751	 stepsize= 1.000000 
-dualbound = 2853988.988341, lowerbound=1194405.988341, norm of subgrad 1093.503538	dualbound = 2853988.988341, lowerbound=1194405.988341, norm of subgrad 38.644987	 stepsize= 1.000000 
-dualbound = 2854135.407405, lowerbound=1198585.407405, norm of subgrad 1095.446670	dualbound = 2854135.407405, lowerbound=1198585.407405, norm of subgrad 39.552738	 stepsize= 1.000000 
-dualbound = 2854233.980406, lowerbound=1198391.980406, norm of subgrad 1095.358380	dualbound = 2854233.980406, lowerbound=1198391.980406, norm of subgrad 38.943202	 stepsize= 1.000000 
-dualbound = 2854407.646123, lowerbound=1199437.646123, norm of subgrad 1095.848368	dualbound = 2854407.646123, lowerbound=1199437.646123, norm of subgrad 40.245071	 stepsize= 1.000000 
-dualbound = 2854548.036390, lowerbound=1194376.036390, norm of subgrad 1093.549741	dualbound = 2854548.036390, lowerbound=1194376.036390, norm of subgrad 40.191918	 stepsize= 1.000000 
-dualbound = 2854675.463249, lowerbound=1198239.463249, norm of subgrad 1095.326647	dualbound = 2854675.463249, lowerbound=1198239.463249, norm of subgrad 40.353771	 stepsize= 1.000000 
-dualbound = 2854803.376617, lowerbound=1196830.376617, norm of subgrad 1094.687799	dualbound = 2854803.376617, lowerbound=1196830.376617, norm of subgrad 40.483495	 stepsize= 1.000000 
-dualbound = 2854968.569587, lowerbound=1199454.569587, norm of subgrad 1095.836470	dualbound = 2854968.569587, lowerbound=1199454.569587, norm of subgrad 39.600416	 stepsize= 1.000000 
-dualbound = 2855110.908300, lowerbound=1200461.908300, norm of subgrad 1096.304204	dualbound = 2855110.908300, lowerbound=1200461.908300, norm of subgrad 39.539078	 stepsize= 1.000000 
-dualbound = 2855264.699816, lowerbound=1196730.699816, norm of subgrad 1094.610296	dualbound = 2855264.699816, lowerbound=1196730.699816, norm of subgrad 39.934841	 stepsize= 1.000000 
-dualbound = 2855390.404701, lowerbound=1199772.404701, norm of subgrad 1095.965969	dualbound = 2855390.404701, lowerbound=1199772.404701, norm of subgrad 38.661413	 stepsize= 1.000000 
-dualbound = 2855563.360169, lowerbound=1203127.360169, norm of subgrad 1097.517818	dualbound = 2855563.360169, lowerbound=1203127.360169, norm of subgrad 39.886783	 stepsize= 1.000000 
-dualbound = 2855670.976034, lowerbound=1196556.976034, norm of subgrad 1094.535964	dualbound = 2855670.976034, lowerbound=1196556.976034, norm of subgrad 39.491972	 stepsize= 1.000000 
-dualbound = 2855850.825031, lowerbound=1193573.825031, norm of subgrad 1093.182430	dualbound = 2855850.825031, lowerbound=1193573.825031, norm of subgrad 40.667542	 stepsize= 1.000000 
-dualbound = 2855966.837404, lowerbound=1199790.837404, norm of subgrad 1095.983959	dualbound = 2855966.837404, lowerbound=1199790.837404, norm of subgrad 38.807375	 stepsize= 1.000000 
-dualbound = 2856133.804141, lowerbound=1196151.804141, norm of subgrad 1094.317963	dualbound = 2856133.804141, lowerbound=1196151.804141, norm of subgrad 39.331498	 stepsize= 1.000000 
-dualbound = 2856286.761046, lowerbound=1197675.761046, norm of subgrad 1095.014503	dualbound = 2856286.761046, lowerbound=1197675.761046, norm of subgrad 39.165762	 stepsize= 1.000000 
-dualbound = 2856436.114774, lowerbound=1198194.114774, norm of subgrad 1095.231991	dualbound = 2856436.114774, lowerbound=1198194.114774, norm of subgrad 38.579188	 stepsize= 1.000000 
-dualbound = 2856578.980656, lowerbound=1196261.980656, norm of subgrad 1094.357794	dualbound = 2856578.980656, lowerbound=1196261.980656, norm of subgrad 38.728102	 stepsize= 1.000000 
-dualbound = 2856713.275535, lowerbound=1196710.275535, norm of subgrad 1094.617867	dualbound = 2856713.275535, lowerbound=1196710.275535, norm of subgrad 40.153392	 stepsize= 1.000000 
-dualbound = 2856846.684825, lowerbound=1199110.684825, norm of subgrad 1095.677729	dualbound = 2856846.684825, lowerbound=1199110.684825, norm of subgrad 39.146000	 stepsize= 1.000000 
-dualbound = 2856990.998665, lowerbound=1195194.998665, norm of subgrad 1093.916815	dualbound = 2856990.998665, lowerbound=1195194.998665, norm of subgrad 40.041402	 stepsize= 1.000000 
-dualbound = 2857102.318517, lowerbound=1200079.318517, norm of subgrad 1096.142016	dualbound = 2857102.318517, lowerbound=1200079.318517, norm of subgrad 39.488224	 stepsize= 1.000000 
-dualbound = 2857266.963481, lowerbound=1202767.963481, norm of subgrad 1097.382779	dualbound = 2857266.963481, lowerbound=1202767.963481, norm of subgrad 40.566550	 stepsize= 1.000000 
-dualbound = 2857407.580826, lowerbound=1198352.580826, norm of subgrad 1095.333091	dualbound = 2857407.580826, lowerbound=1198352.580826, norm of subgrad 39.276168	 stepsize= 1.000000 
-dualbound = 2857561.432360, lowerbound=1197493.432360, norm of subgrad 1094.974170	dualbound = 2857561.432360, lowerbound=1197493.432360, norm of subgrad 40.359033	 stepsize= 1.000000 
-dualbound = 2857696.389638, lowerbound=1198356.389638, norm of subgrad 1095.365414	dualbound = 2857696.389638, lowerbound=1198356.389638, norm of subgrad 40.049435	 stepsize= 1.000000 
-dualbound = 2857851.180431, lowerbound=1196454.180431, norm of subgrad 1094.448802	dualbound = 2857851.180431, lowerbound=1196454.180431, norm of subgrad 38.971667	 stepsize= 1.000000 
-dualbound = 2857970.124903, lowerbound=1199008.124903, norm of subgrad 1095.661045	dualbound = 2857970.124903, lowerbound=1199008.124903, norm of subgrad 39.798800	 stepsize= 1.000000 
-dualbound = 2858125.297505, lowerbound=1193753.297505, norm of subgrad 1093.250336	dualbound = 2858125.297505, lowerbound=1193753.297505, norm of subgrad 39.977151	 stepsize= 1.000000 
-dualbound = 2858279.905288, lowerbound=1196790.905288, norm of subgrad 1094.615414	dualbound = 2858279.905288, lowerbound=1196790.905288, norm of subgrad 39.326935	 stepsize= 1.000000 
-dualbound = 2858421.598311, lowerbound=1199375.598311, norm of subgrad 1095.817776	dualbound = 2858421.598311, lowerbound=1199375.598311, norm of subgrad 39.783075	 stepsize= 1.000000 
-dualbound = 2858536.067567, lowerbound=1199665.067567, norm of subgrad 1095.965815	dualbound = 2858536.067567, lowerbound=1199665.067567, norm of subgrad 39.880688	 stepsize= 1.000000 
-dualbound = 2858685.115496, lowerbound=1200656.115496, norm of subgrad 1096.402807	dualbound = 2858685.115496, lowerbound=1200656.115496, norm of subgrad 39.900475	 stepsize= 1.000000 
-dualbound = 2858857.144809, lowerbound=1202183.144809, norm of subgrad 1097.080282	dualbound = 2858857.144809, lowerbound=1202183.144809, norm of subgrad 39.674038	 stepsize= 1.000000 
-dualbound = 2858975.027525, lowerbound=1202288.027525, norm of subgrad 1097.147678	dualbound = 2858975.027525, lowerbound=1202288.027525, norm of subgrad 39.533311	 stepsize= 1.000000 
-dualbound = 2859105.613132, lowerbound=1196273.613132, norm of subgrad 1094.397831	dualbound = 2859105.613132, lowerbound=1196273.613132, norm of subgrad 39.542200	 stepsize= 1.000000 
-dualbound = 2859272.520364, lowerbound=1193470.520364, norm of subgrad 1093.086694	dualbound = 2859272.520364, lowerbound=1193470.520364, norm of subgrad 39.177892	 stepsize= 1.000000 
-dualbound = 2859441.109664, lowerbound=1200050.109664, norm of subgrad 1096.093568	dualbound = 2859441.109664, lowerbound=1200050.109664, norm of subgrad 39.237601	 stepsize= 1.000000 
-dualbound = 2859575.496408, lowerbound=1197000.496408, norm of subgrad 1094.702469	dualbound = 2859575.496408, lowerbound=1197000.496408, norm of subgrad 38.825079	 stepsize= 1.000000 
-dualbound = 2859725.955083, lowerbound=1203645.955083, norm of subgrad 1097.742208	dualbound = 2859725.955083, lowerbound=1203645.955083, norm of subgrad 39.274148	 stepsize= 1.000000 
-dualbound = 2859856.129319, lowerbound=1196727.129319, norm of subgrad 1094.624195	dualbound = 2859856.129319, lowerbound=1196727.129319, norm of subgrad 40.064626	 stepsize= 1.000000 
-dualbound = 2859973.427643, lowerbound=1196591.427643, norm of subgrad 1094.525663	dualbound = 2859973.427643, lowerbound=1196591.427643, norm of subgrad 38.888280	 stepsize= 1.000000 
-dualbound = 2860145.525567, lowerbound=1193569.525567, norm of subgrad 1093.120545	dualbound = 2860145.525567, lowerbound=1193569.525567, norm of subgrad 38.924259	 stepsize= 1.000000 
-dualbound = 2860276.475150, lowerbound=1204685.475150, norm of subgrad 1098.207392	dualbound = 2860276.475150, lowerbound=1204685.475150, norm of subgrad 38.793680	 stepsize= 1.000000 
-dualbound = 2860427.973255, lowerbound=1192097.973255, norm of subgrad 1092.466006	dualbound = 2860427.973255, lowerbound=1192097.973255, norm of subgrad 39.185432	 stepsize= 1.000000 
-dualbound = 2860584.253028, lowerbound=1204273.253028, norm of subgrad 1098.029259	dualbound = 2860584.253028, lowerbound=1204273.253028, norm of subgrad 39.386289	 stepsize= 1.000000 
-dualbound = 2860687.622500, lowerbound=1199402.622500, norm of subgrad 1095.840145	dualbound = 2860687.622500, lowerbound=1199402.622500, norm of subgrad 39.577386	 stepsize= 1.000000 
-dualbound = 2860841.063058, lowerbound=1197811.063058, norm of subgrad 1095.100024	dualbound = 2860841.063058, lowerbound=1197811.063058, norm of subgrad 39.830146	 stepsize= 1.000000 
-dualbound = 2860984.026731, lowerbound=1199281.026731, norm of subgrad 1095.768236	dualbound = 2860984.026731, lowerbound=1199281.026731, norm of subgrad 39.622767	 stepsize= 1.000000 
-dualbound = 2861116.616942, lowerbound=1196239.616942, norm of subgrad 1094.401945	dualbound = 2861116.616942, lowerbound=1196239.616942, norm of subgrad 40.107234	 stepsize= 1.000000 
-dualbound = 2861269.405943, lowerbound=1198259.405943, norm of subgrad 1095.288732	dualbound = 2861269.405943, lowerbound=1198259.405943, norm of subgrad 39.380058	 stepsize= 1.000000 
-dualbound = 2861414.858429, lowerbound=1203174.858429, norm of subgrad 1097.555857	dualbound = 2861414.858429, lowerbound=1203174.858429, norm of subgrad 39.993155	 stepsize= 1.000000 
-dualbound = 2861576.002359, lowerbound=1196052.002359, norm of subgrad 1094.313028	dualbound = 2861576.002359, lowerbound=1196052.002359, norm of subgrad 40.375041	 stepsize= 1.000000 
-dualbound = 2861693.954798, lowerbound=1198518.954798, norm of subgrad 1095.406753	dualbound = 2861693.954798, lowerbound=1198518.954798, norm of subgrad 38.922390	 stepsize= 1.000000 
-dualbound = 2861862.210622, lowerbound=1198801.210622, norm of subgrad 1095.546992	dualbound = 2861862.210622, lowerbound=1198801.210622, norm of subgrad 39.878012	 stepsize= 1.000000 
-dualbound = 2861988.071050, lowerbound=1200669.071050, norm of subgrad 1096.414644	dualbound = 2861988.071050, lowerbound=1200669.071050, norm of subgrad 39.772609	 stepsize= 1.000000 
-dualbound = 2862133.647077, lowerbound=1195255.647077, norm of subgrad 1093.946364	dualbound = 2862133.647077, lowerbound=1195255.647077, norm of subgrad 40.107057	 stepsize= 1.000000 
-dualbound = 2862268.214567, lowerbound=1196027.214567, norm of subgrad 1094.300788	dualbound = 2862268.214567, lowerbound=1196027.214567, norm of subgrad 40.019589	 stepsize= 1.000000 
-dualbound = 2862395.636443, lowerbound=1202705.636443, norm of subgrad 1097.357114	dualbound = 2862395.636443, lowerbound=1202705.636443, norm of subgrad 40.179869	 stepsize= 1.000000 
-dualbound = 2862540.322928, lowerbound=1200478.322928, norm of subgrad 1096.321268	dualbound = 2862540.322928, lowerbound=1200478.322928, norm of subgrad 39.833233	 stepsize= 1.000000 
-dualbound = 2862714.734017, lowerbound=1196497.734017, norm of subgrad 1094.489257	dualbound = 2862714.734017, lowerbound=1196497.734017, norm of subgrad 39.792098	 stepsize= 1.000000 
-dualbound = 2862848.849318, lowerbound=1199390.849318, norm of subgrad 1095.820628	dualbound = 2862848.849318, lowerbound=1199390.849318, norm of subgrad 39.574175	 stepsize= 1.000000 
-dualbound = 2862972.774831, lowerbound=1197674.774831, norm of subgrad 1095.025468	dualbound = 2862972.774831, lowerbound=1197674.774831, norm of subgrad 39.114262	 stepsize= 1.000000 
-dualbound = 2863142.439707, lowerbound=1201359.439707, norm of subgrad 1096.668792	dualbound = 2863142.439707, lowerbound=1201359.439707, norm of subgrad 38.635021	 stepsize= 1.000000 
-dualbound = 2863310.053157, lowerbound=1197996.053157, norm of subgrad 1095.176266	dualbound = 2863310.053157, lowerbound=1197996.053157, norm of subgrad 39.782074	 stepsize= 1.000000 
-dualbound = 2863407.462920, lowerbound=1195415.462920, norm of subgrad 1094.007067	dualbound = 2863407.462920, lowerbound=1195415.462920, norm of subgrad 39.158776	 stepsize= 1.000000 
-dualbound = 2863571.192503, lowerbound=1202395.192503, norm of subgrad 1097.174641	dualbound = 2863571.192503, lowerbound=1202395.192503, norm of subgrad 39.506070	 stepsize= 1.000000 
-dualbound = 2863727.576779, lowerbound=1195645.576779, norm of subgrad 1094.093495	dualbound = 2863727.576779, lowerbound=1195645.576779, norm of subgrad 39.387616	 stepsize= 1.000000 
-dualbound = 2863848.674980, lowerbound=1200640.674980, norm of subgrad 1096.392573	dualbound = 2863848.674980, lowerbound=1200640.674980, norm of subgrad 39.460084	 stepsize= 1.000000 
-dualbound = 2864009.145997, lowerbound=1199914.145997, norm of subgrad 1096.033369	dualbound = 2864009.145997, lowerbound=1199914.145997, norm of subgrad 39.185087	 stepsize= 1.000000 
-dualbound = 2864133.412086, lowerbound=1199588.412086, norm of subgrad 1095.889325	dualbound = 2864133.412086, lowerbound=1199588.412086, norm of subgrad 38.849274	 stepsize= 1.000000 
-dualbound = 2864298.831233, lowerbound=1200755.831233, norm of subgrad 1096.422287	dualbound = 2864298.831233, lowerbound=1200755.831233, norm of subgrad 39.388058	 stepsize= 1.000000 
-dualbound = 2864426.410568, lowerbound=1197689.410568, norm of subgrad 1095.013886	dualbound = 2864426.410568, lowerbound=1197689.410568, norm of subgrad 38.646854	 stepsize= 1.000000 
-dualbound = 2864577.723191, lowerbound=1194743.723191, norm of subgrad 1093.702758	dualbound = 2864577.723191, lowerbound=1194743.723191, norm of subgrad 39.916320	 stepsize= 1.000000 
-dualbound = 2864689.163988, lowerbound=1198609.163988, norm of subgrad 1095.468468	dualbound = 2864689.163988, lowerbound=1198609.163988, norm of subgrad 39.413713	 stepsize= 1.000000 
-dualbound = 2864862.147940, lowerbound=1193149.147940, norm of subgrad 1092.935107	dualbound = 2864862.147940, lowerbound=1193149.147940, norm of subgrad 39.127790	 stepsize= 1.000000 
-dualbound = 2865007.688809, lowerbound=1202252.688809, norm of subgrad 1097.113799	dualbound = 2865007.688809, lowerbound=1202252.688809, norm of subgrad 39.389604	 stepsize= 1.000000 
-dualbound = 2865143.402286, lowerbound=1199141.402286, norm of subgrad 1095.683076	dualbound = 2865143.402286, lowerbound=1199141.402286, norm of subgrad 38.932165	 stepsize= 1.000000 
-dualbound = 2865290.954263, lowerbound=1200256.954263, norm of subgrad 1096.192480	dualbound = 2865290.954263, lowerbound=1200256.954263, norm of subgrad 39.096700	 stepsize= 1.000000 
-dualbound = 2865416.099060, lowerbound=1200535.099060, norm of subgrad 1096.303835	dualbound = 2865416.099060, lowerbound=1200535.099060, norm of subgrad 38.368539	 stepsize= 1.000000 
-dualbound = 2865590.719609, lowerbound=1196255.719609, norm of subgrad 1094.373209	dualbound = 2865590.719609, lowerbound=1196255.719609, norm of subgrad 39.643670	 stepsize= 1.000000 
-dualbound = 2865704.296496, lowerbound=1202599.296496, norm of subgrad 1097.283143	dualbound = 2865704.296496, lowerbound=1202599.296496, norm of subgrad 39.301105	 stepsize= 1.000000 
-dualbound = 2865840.262906, lowerbound=1204248.262906, norm of subgrad 1098.075709	dualbound = 2865840.262906, lowerbound=1204248.262906, norm of subgrad 40.718134	 stepsize= 1.000000 
-dualbound = 2865959.066542, lowerbound=1197989.066542, norm of subgrad 1095.192251	dualbound = 2865959.066542, lowerbound=1197989.066542, norm of subgrad 39.696393	 stepsize= 1.000000 
-dualbound = 2866110.595573, lowerbound=1203989.595573, norm of subgrad 1097.894620	dualbound = 2866110.595573, lowerbound=1203989.595573, norm of subgrad 39.173065	 stepsize= 1.000000 
-dualbound = 2866295.173725, lowerbound=1192492.173725, norm of subgrad 1092.666085	dualbound = 2866295.173725, lowerbound=1192492.173725, norm of subgrad 40.144466	 stepsize= 1.000000 
-dualbound = 2866389.181149, lowerbound=1202570.181149, norm of subgrad 1097.261218	dualbound = 2866389.181149, lowerbound=1202570.181149, norm of subgrad 38.807311	 stepsize= 1.000000 
-dualbound = 2866600.434961, lowerbound=1198710.434961, norm of subgrad 1095.477264	dualbound = 2866600.434961, lowerbound=1198710.434961, norm of subgrad 39.639044	 stepsize= 1.000000 
-dualbound = 2866704.048362, lowerbound=1200046.048362, norm of subgrad 1096.126840	dualbound = 2866704.048362, lowerbound=1200046.048362, norm of subgrad 39.390524	 stepsize= 1.000000 
-dualbound = 2866842.385892, lowerbound=1196897.385892, norm of subgrad 1094.663138	dualbound = 2866842.385892, lowerbound=1196897.385892, norm of subgrad 39.093958	 stepsize= 1.000000 
-dualbound = 2866998.240085, lowerbound=1200642.240085, norm of subgrad 1096.376870	dualbound = 2866998.240085, lowerbound=1200642.240085, norm of subgrad 39.444318	 stepsize= 1.000000 
-dualbound = 2867145.298456, lowerbound=1196995.298456, norm of subgrad 1094.725673	dualbound = 2867145.298456, lowerbound=1196995.298456, norm of subgrad 39.699602	 stepsize= 1.000000 
-dualbound = 2867276.526777, lowerbound=1197813.526777, norm of subgrad 1095.100236	dualbound = 2867276.526777, lowerbound=1197813.526777, norm of subgrad 39.525034	 stepsize= 1.000000 
-dualbound = 2867408.513887, lowerbound=1198463.513887, norm of subgrad 1095.370948	dualbound = 2867408.513887, lowerbound=1198463.513887, norm of subgrad 38.807050	 stepsize= 1.000000 
-dualbound = 2867583.633997, lowerbound=1199096.633997, norm of subgrad 1095.646674	dualbound = 2867583.633997, lowerbound=1199096.633997, norm of subgrad 38.988718	 stepsize= 1.000000 
-dualbound = 2867713.157211, lowerbound=1199108.157211, norm of subgrad 1095.662428	dualbound = 2867713.157211, lowerbound=1199108.157211, norm of subgrad 38.697845	 stepsize= 1.000000 
-dualbound = 2867849.076319, lowerbound=1197585.076319, norm of subgrad 1094.959851	dualbound = 2867849.076319, lowerbound=1197585.076319, norm of subgrad 38.573555	 stepsize= 1.000000 
-dualbound = 2867989.366256, lowerbound=1203480.366256, norm of subgrad 1097.678626	dualbound = 2867989.366256, lowerbound=1203480.366256, norm of subgrad 39.475181	 stepsize= 1.000000 
-dualbound = 2868122.343457, lowerbound=1200757.343457, norm of subgrad 1096.451250	dualbound = 2868122.343457, lowerbound=1200757.343457, norm of subgrad 39.761504	 stepsize= 1.000000 
-dualbound = 2868259.688512, lowerbound=1198895.688512, norm of subgrad 1095.612928	dualbound = 2868259.688512, lowerbound=1198895.688512, norm of subgrad 40.116643	 stepsize= 1.000000 
-dualbound = 2868409.660475, lowerbound=1197869.660475, norm of subgrad 1095.131801	dualbound = 2868409.660475, lowerbound=1197869.660475, norm of subgrad 39.924578	 stepsize= 1.000000 
-dualbound = 2868561.934168, lowerbound=1197508.934168, norm of subgrad 1095.000427	dualbound = 2868561.934168, lowerbound=1197508.934168, norm of subgrad 40.856746	 stepsize= 1.000000 
-dualbound = 2868663.486784, lowerbound=1201968.486784, norm of subgrad 1097.009793	dualbound = 2868663.486784, lowerbound=1201968.486784, norm of subgrad 39.541783	 stepsize= 1.000000 
-dualbound = 2868852.459420, lowerbound=1199154.459420, norm of subgrad 1095.678538	dualbound = 2868852.459420, lowerbound=1199154.459420, norm of subgrad 39.318859	 stepsize= 1.000000 
-dualbound = 2868997.069743, lowerbound=1201592.069743, norm of subgrad 1096.845053	dualbound = 2868997.069743, lowerbound=1201592.069743, norm of subgrad 40.269223	 stepsize= 1.000000 
-dualbound = 2869113.886657, lowerbound=1198830.886657, norm of subgrad 1095.572401	dualbound = 2869113.886657, lowerbound=1198830.886657, norm of subgrad 39.557767	 stepsize= 1.000000 
-dualbound = 2869254.015246, lowerbound=1203531.015246, norm of subgrad 1097.703974	dualbound = 2869254.015246, lowerbound=1203531.015246, norm of subgrad 39.536421	 stepsize= 1.000000 
-dualbound = 2869429.800160, lowerbound=1196923.800160, norm of subgrad 1094.649624	dualbound = 2869429.800160, lowerbound=1196923.800160, norm of subgrad 38.855951	 stepsize= 1.000000 
-dualbound = 2869584.970850, lowerbound=1202435.970850, norm of subgrad 1097.173628	dualbound = 2869584.970850, lowerbound=1202435.970850, norm of subgrad 38.848046	 stepsize= 1.000000 
-dualbound = 2869706.122711, lowerbound=1200093.122711, norm of subgrad 1096.104978	dualbound = 2869706.122711, lowerbound=1200093.122711, norm of subgrad 38.394685	 stepsize= 1.000000 
-dualbound = 2869871.841117, lowerbound=1200416.841117, norm of subgrad 1096.274984	dualbound = 2869871.841117, lowerbound=1200416.841117, norm of subgrad 39.594424	 stepsize= 1.000000 
-dualbound = 2869974.629639, lowerbound=1197621.629639, norm of subgrad 1095.024032	dualbound = 2869974.629639, lowerbound=1197621.629639, norm of subgrad 39.481496	 stepsize= 1.000000 
-dualbound = 2870094.332342, lowerbound=1206279.332342, norm of subgrad 1098.973308	dualbound = 2870094.332342, lowerbound=1206279.332342, norm of subgrad 39.783196	 stepsize= 1.000000 
-dualbound = 2870258.904570, lowerbound=1201869.904570, norm of subgrad 1096.950730	dualbound = 2870258.904570, lowerbound=1201869.904570, norm of subgrad 39.944615	 stepsize= 1.000000 
-dualbound = 2870392.933749, lowerbound=1197099.933749, norm of subgrad 1094.791274	dualbound = 2870392.933749, lowerbound=1197099.933749, norm of subgrad 40.025357	 stepsize= 1.000000 
-dualbound = 2870540.884466, lowerbound=1198635.884466, norm of subgrad 1095.480207	dualbound = 2870540.884466, lowerbound=1198635.884466, norm of subgrad 39.861645	 stepsize= 1.000000 
-dualbound = 2870658.047048, lowerbound=1199887.047048, norm of subgrad 1096.037886	dualbound = 2870658.047048, lowerbound=1199887.047048, norm of subgrad 39.104508	 stepsize= 1.000000 
-dualbound = 2870846.649492, lowerbound=1198839.649492, norm of subgrad 1095.527567	dualbound = 2870846.649492, lowerbound=1198839.649492, norm of subgrad 39.110132	 stepsize= 1.000000 
-dualbound = 2870981.303023, lowerbound=1197072.303023, norm of subgrad 1094.747598	dualbound = 2870981.303023, lowerbound=1197072.303023, norm of subgrad 39.174654	 stepsize= 1.000000 
-dualbound = 2871109.166653, lowerbound=1197981.166653, norm of subgrad 1095.179970	dualbound = 2871109.166653, lowerbound=1197981.166653, norm of subgrad 39.570995	 stepsize= 1.000000 
-dualbound = 2871223.845064, lowerbound=1201561.845064, norm of subgrad 1096.819878	dualbound = 2871223.845064, lowerbound=1201561.845064, norm of subgrad 39.581289	 stepsize= 1.000000 
-dualbound = 2871420.554679, lowerbound=1204055.554679, norm of subgrad 1097.926480	dualbound = 2871420.554679, lowerbound=1204055.554679, norm of subgrad 39.795849	 stepsize= 1.000000 
-dualbound = 2871517.938185, lowerbound=1197937.938185, norm of subgrad 1095.164343	dualbound = 2871517.938185, lowerbound=1197937.938185, norm of subgrad 39.298645	 stepsize= 1.000000 
-dualbound = 2871668.246531, lowerbound=1200168.246531, norm of subgrad 1096.154755	dualbound = 2871668.246531, lowerbound=1200168.246531, norm of subgrad 39.208524	 stepsize= 1.000000 
-dualbound = 2871836.277233, lowerbound=1201190.277233, norm of subgrad 1096.612638	dualbound = 2871836.277233, lowerbound=1201190.277233, norm of subgrad 39.204983	 stepsize= 1.000000 
-dualbound = 2871969.490329, lowerbound=1201159.490329, norm of subgrad 1096.625501	dualbound = 2871969.490329, lowerbound=1201159.490329, norm of subgrad 39.512189	 stepsize= 1.000000 
-dualbound = 2872099.105937, lowerbound=1199372.105937, norm of subgrad 1095.821202	dualbound = 2872099.105937, lowerbound=1199372.105937, norm of subgrad 39.769531	 stepsize= 1.000000 
-dualbound = 2872253.396777, lowerbound=1196272.396777, norm of subgrad 1094.399560	dualbound = 2872253.396777, lowerbound=1196272.396777, norm of subgrad 39.903519	 stepsize= 1.000000 
-dualbound = 2872378.443035, lowerbound=1198990.443035, norm of subgrad 1095.662559	dualbound = 2872378.443035, lowerbound=1198990.443035, norm of subgrad 40.137841	 stepsize= 1.000000 
-dualbound = 2872520.838706, lowerbound=1200688.838706, norm of subgrad 1096.400401	dualbound = 2872520.838706, lowerbound=1200688.838706, norm of subgrad 39.336950	 stepsize= 1.000000 
-dualbound = 2872688.413183, lowerbound=1202847.413183, norm of subgrad 1097.359291	dualbound = 2872688.413183, lowerbound=1202847.413183, norm of subgrad 38.956058	 stepsize= 1.000000 
-dualbound = 2872836.655057, lowerbound=1199508.655057, norm of subgrad 1095.827384	dualbound = 2872836.655057, lowerbound=1199508.655057, norm of subgrad 38.434904	 stepsize= 1.000000 
-dualbound = 2872976.148957, lowerbound=1201180.148957, norm of subgrad 1096.620786	dualbound = 2872976.148957, lowerbound=1201180.148957, norm of subgrad 39.198136	 stepsize= 1.000000 
-dualbound = 2873092.986579, lowerbound=1202943.986579, norm of subgrad 1097.419239	dualbound = 2873092.986579, lowerbound=1202943.986579, norm of subgrad 38.753550	 stepsize= 1.000000 
-dualbound = 2873255.695982, lowerbound=1198081.695982, norm of subgrad 1095.186603	dualbound = 2873255.695982, lowerbound=1198081.695982, norm of subgrad 38.919268	 stepsize= 1.000000 
-dualbound = 2873388.109187, lowerbound=1203538.109187, norm of subgrad 1097.723603	dualbound = 2873388.109187, lowerbound=1203538.109187, norm of subgrad 39.892521	 stepsize= 1.000000 
-dualbound = 2873504.723071, lowerbound=1195922.723071, norm of subgrad 1094.244362	dualbound = 2873504.723071, lowerbound=1195922.723071, norm of subgrad 39.555200	 stepsize= 1.000000 
-dualbound = 2873659.199200, lowerbound=1199716.199200, norm of subgrad 1095.968612	dualbound = 2873659.199200, lowerbound=1199716.199200, norm of subgrad 39.818038	 stepsize= 1.000000 
-dualbound = 2873810.812777, lowerbound=1202966.812777, norm of subgrad 1097.436473	dualbound = 2873810.812777, lowerbound=1202966.812777, norm of subgrad 39.390526	 stepsize= 1.000000 
-dualbound = 2873951.161972, lowerbound=1198938.161972, norm of subgrad 1095.594433	dualbound = 2873951.161972, lowerbound=1198938.161972, norm of subgrad 39.106894	 stepsize= 1.000000 
-dualbound = 2874111.225088, lowerbound=1203356.225088, norm of subgrad 1097.627999	dualbound = 2874111.225088, lowerbound=1203356.225088, norm of subgrad 39.888133	 stepsize= 1.000000 
-dualbound = 2874210.408027, lowerbound=1198130.408027, norm of subgrad 1095.257234	dualbound = 2874210.408027, lowerbound=1198130.408027, norm of subgrad 39.461157	 stepsize= 1.000000 
-dualbound = 2874353.553786, lowerbound=1199882.553786, norm of subgrad 1096.058645	dualbound = 2874353.553786, lowerbound=1199882.553786, norm of subgrad 40.064270	 stepsize= 1.000000 
-dualbound = 2874517.762337, lowerbound=1203781.762337, norm of subgrad 1097.812717	dualbound = 2874517.762337, lowerbound=1203781.762337, norm of subgrad 39.688897	 stepsize= 1.000000 
-dualbound = 2874654.154481, lowerbound=1197519.154481, norm of subgrad 1094.974499	dualbound = 2874654.154481, lowerbound=1197519.154481, norm of subgrad 39.829539	 stepsize= 1.000000 
-dualbound = 2874791.193397, lowerbound=1202036.193397, norm of subgrad 1097.006469	dualbound = 2874791.193397, lowerbound=1202036.193397, norm of subgrad 39.038941	 stepsize= 1.000000 
-dualbound = 2874944.465383, lowerbound=1202822.465383, norm of subgrad 1097.385741	dualbound = 2874944.465383, lowerbound=1202822.465383, norm of subgrad 39.828030	 stepsize= 1.000000 
-dualbound = 2875047.700069, lowerbound=1199278.700069, norm of subgrad 1095.789533	dualbound = 2875047.700069, lowerbound=1199278.700069, norm of subgrad 39.739586	 stepsize= 1.000000 
-dualbound = 2875212.343717, lowerbound=1197050.343717, norm of subgrad 1094.770453	dualbound = 2875212.343717, lowerbound=1197050.343717, norm of subgrad 40.455453	 stepsize= 1.000000 
-dualbound = 2875346.573313, lowerbound=1205055.573313, norm of subgrad 1098.400461	dualbound = 2875346.573313, lowerbound=1205055.573313, norm of subgrad 39.525050	 stepsize= 1.000000 
-dualbound = 2875512.388429, lowerbound=1198795.388429, norm of subgrad 1095.535663	dualbound = 2875512.388429, lowerbound=1198795.388429, norm of subgrad 39.608271	 stepsize= 1.000000 
-dualbound = 2875643.104186, lowerbound=1202235.104186, norm of subgrad 1097.097582	dualbound = 2875643.104186, lowerbound=1202235.104186, norm of subgrad 38.970704	 stepsize= 1.000000 
-dualbound = 2875801.789917, lowerbound=1197299.789917, norm of subgrad 1094.856516	dualbound = 2875801.789917, lowerbound=1197299.789917, norm of subgrad 39.619260	 stepsize= 1.000000 
-dualbound = 2875908.045402, lowerbound=1206300.045402, norm of subgrad 1098.986827	dualbound = 2875908.045402, lowerbound=1206300.045402, norm of subgrad 39.727264	 stepsize= 1.000000 
-dualbound = 2876064.630143, lowerbound=1201983.630143, norm of subgrad 1096.989348	dualbound = 2876064.630143, lowerbound=1201983.630143, norm of subgrad 39.478915	 stepsize= 1.000000 
-dualbound = 2876220.566038, lowerbound=1200819.566038, norm of subgrad 1096.468680	dualbound = 2876220.566038, lowerbound=1200819.566038, norm of subgrad 39.748407	 stepsize= 1.000000 
-dualbound = 2876334.948129, lowerbound=1199957.948129, norm of subgrad 1096.079353	dualbound = 2876334.948129, lowerbound=1199957.948129, norm of subgrad 39.324065	 stepsize= 1.000000 
-dualbound = 2876489.509190, lowerbound=1202731.509190, norm of subgrad 1097.356601	dualbound = 2876489.509190, lowerbound=1202731.509190, norm of subgrad 40.181601	 stepsize= 1.000000 
-dualbound = 2876607.327252, lowerbound=1196237.327252, norm of subgrad 1094.391761	dualbound = 2876607.327252, lowerbound=1196237.327252, norm of subgrad 39.671376	 stepsize= 1.000000 
-dualbound = 2876779.639139, lowerbound=1198647.639139, norm of subgrad 1095.431257	dualbound = 2876779.639139, lowerbound=1198647.639139, norm of subgrad 38.656330	 stepsize= 1.000000 
-dualbound = 2876941.939213, lowerbound=1202065.939213, norm of subgrad 1096.969434	dualbound = 2876941.939213, lowerbound=1202065.939213, norm of subgrad 37.924927	 stepsize= 1.000000 
-dualbound = 2877094.039033, lowerbound=1201216.039033, norm of subgrad 1096.575597	dualbound = 2877094.039033, lowerbound=1201216.039033, norm of subgrad 37.604519	 stepsize= 1.000000 
-dualbound = 2877210.906163, lowerbound=1201337.906163, norm of subgrad 1096.687242	dualbound = 2877210.906163, lowerbound=1201337.906163, norm of subgrad 38.753931	 stepsize= 1.000000 
-dualbound = 2877305.976386, lowerbound=1203745.976386, norm of subgrad 1097.819647	dualbound = 2877305.976386, lowerbound=1203745.976386, norm of subgrad 39.459729	 stepsize= 1.000000 
-dualbound = 2877476.297378, lowerbound=1200473.297378, norm of subgrad 1096.306662	dualbound = 2877476.297378, lowerbound=1200473.297378, norm of subgrad 39.816090	 stepsize= 1.000000 
-dualbound = 2877601.070930, lowerbound=1198956.070930, norm of subgrad 1095.633639	dualbound = 2877601.070930, lowerbound=1198956.070930, norm of subgrad 39.771517	 stepsize= 1.000000 
-dualbound = 2877743.791782, lowerbound=1202511.791782, norm of subgrad 1097.219117	dualbound = 2877743.791782, lowerbound=1202511.791782, norm of subgrad 38.996421	 stepsize= 1.000000 
-dualbound = 2877905.101149, lowerbound=1200855.101149, norm of subgrad 1096.460260	dualbound = 2877905.101149, lowerbound=1200855.101149, norm of subgrad 39.131948	 stepsize= 1.000000 
-dualbound = 2878042.973721, lowerbound=1201159.973721, norm of subgrad 1096.635753	dualbound = 2878042.973721, lowerbound=1201159.973721, norm of subgrad 39.848119	 stepsize= 1.000000 
-dualbound = 2878157.472025, lowerbound=1204178.472025, norm of subgrad 1098.006135	dualbound = 2878157.472025, lowerbound=1204178.472025, norm of subgrad 39.414443	 stepsize= 1.000000 
-dualbound = 2878325.587689, lowerbound=1199279.587689, norm of subgrad 1095.752521	dualbound = 2878325.587689, lowerbound=1199279.587689, norm of subgrad 39.523609	 stepsize= 1.000000 
-dualbound = 2878466.107785, lowerbound=1199109.107785, norm of subgrad 1095.674271	dualbound = 2878466.107785, lowerbound=1199109.107785, norm of subgrad 39.160185	 stepsize= 1.000000 
-dualbound = 2878606.458732, lowerbound=1204508.458732, norm of subgrad 1098.121332	dualbound = 2878606.458732, lowerbound=1204508.458732, norm of subgrad 38.760172	 stepsize= 1.000000 
-dualbound = 2878747.781058, lowerbound=1198786.781058, norm of subgrad 1095.544513	dualbound = 2878747.781058, lowerbound=1198786.781058, norm of subgrad 39.652520	 stepsize= 1.000000 
-dualbound = 2878862.228813, lowerbound=1207490.228813, norm of subgrad 1099.502264	dualbound = 2878862.228813, lowerbound=1207490.228813, norm of subgrad 39.108155	 stepsize= 1.000000 
-dualbound = 2879014.860556, lowerbound=1198844.860556, norm of subgrad 1095.592014	dualbound = 2879014.860556, lowerbound=1198844.860556, norm of subgrad 40.368698	 stepsize= 1.000000 
-dualbound = 2879118.618243, lowerbound=1200606.618243, norm of subgrad 1096.390723	dualbound = 2879118.618243, lowerbound=1200606.618243, norm of subgrad 39.620168	 stepsize= 1.000000 
-dualbound = 2879299.906693, lowerbound=1204232.906693, norm of subgrad 1098.013163	dualbound = 2879299.906693, lowerbound=1204232.906693, norm of subgrad 39.765418	 stepsize= 1.000000 
-dualbound = 2879422.451454, lowerbound=1203215.451454, norm of subgrad 1097.580271	dualbound = 2879422.451454, lowerbound=1203215.451454, norm of subgrad 39.869095	 stepsize= 1.000000 
-dualbound = 2879561.273615, lowerbound=1203174.273615, norm of subgrad 1097.536001	dualbound = 2879561.273615, lowerbound=1203174.273615, norm of subgrad 39.367781	 stepsize= 1.000000 
-dualbound = 2879700.068003, lowerbound=1199552.068003, norm of subgrad 1095.911980	dualbound = 2879700.068003, lowerbound=1199552.068003, norm of subgrad 40.122243	 stepsize= 1.000000 
-dualbound = 2879842.066760, lowerbound=1206370.066760, norm of subgrad 1098.995026	dualbound = 2879842.066760, lowerbound=1206370.066760, norm of subgrad 39.522130	 stepsize= 1.000000 
-dualbound = 2879989.085933, lowerbound=1198901.085933, norm of subgrad 1095.584358	dualbound = 2879989.085933, lowerbound=1198901.085933, norm of subgrad 39.382981	 stepsize= 1.000000 
-dualbound = 2880116.075523, lowerbound=1203030.075523, norm of subgrad 1097.495820	dualbound = 2880116.075523, lowerbound=1203030.075523, norm of subgrad 39.924799	 stepsize= 1.000000 
-dualbound = 2880252.829891, lowerbound=1201243.829891, norm of subgrad 1096.663499	dualbound = 2880252.829891, lowerbound=1201243.829891, norm of subgrad 39.544334	 stepsize= 1.000000 
-dualbound = 2880404.521430, lowerbound=1202281.521430, norm of subgrad 1097.109621	dualbound = 2880404.521430, lowerbound=1202281.521430, norm of subgrad 38.983221	 stepsize= 1.000000 
-dualbound = 2880562.017006, lowerbound=1205328.017006, norm of subgrad 1098.508542	dualbound = 2880562.017006, lowerbound=1205328.017006, norm of subgrad 39.376333	 stepsize= 1.000000 
-dualbound = 2880706.436128, lowerbound=1200675.436128, norm of subgrad 1096.415722	dualbound = 2880706.436128, lowerbound=1200675.436128, norm of subgrad 39.955214	 stepsize= 1.000000 
-dualbound = 2880805.184939, lowerbound=1200521.184939, norm of subgrad 1096.328046	dualbound = 2880805.184939, lowerbound=1200521.184939, norm of subgrad 38.894072	 stepsize= 1.000000 
-dualbound = 2881005.220825, lowerbound=1201344.220825, norm of subgrad 1096.721123	dualbound = 2881005.220825, lowerbound=1201344.220825, norm of subgrad 40.657544	 stepsize= 1.000000 
-dualbound = 2881104.711516, lowerbound=1204079.711516, norm of subgrad 1097.953420	dualbound = 2881104.711516, lowerbound=1204079.711516, norm of subgrad 39.006290	 stepsize= 1.000000 
-dualbound = 2881279.741107, lowerbound=1202181.741107, norm of subgrad 1097.056398	dualbound = 2881279.741107, lowerbound=1202181.741107, norm of subgrad 39.064429	 stepsize= 1.000000 
-dualbound = 2881414.644724, lowerbound=1205805.644724, norm of subgrad 1098.737751	dualbound = 2881414.644724, lowerbound=1205805.644724, norm of subgrad 39.419584	 stepsize= 1.000000 
-dualbound = 2881544.879379, lowerbound=1199282.879379, norm of subgrad 1095.740790	dualbound = 2881544.879379, lowerbound=1199282.879379, norm of subgrad 38.668264	 stepsize= 1.000000 
-dualbound = 2881653.409986, lowerbound=1201287.409986, norm of subgrad 1096.679265	dualbound = 2881653.409986, lowerbound=1201287.409986, norm of subgrad 39.070841	 stepsize= 1.000000 
-dualbound = 2881792.819313, lowerbound=1202305.819313, norm of subgrad 1097.144849	dualbound = 2881792.819313, lowerbound=1202305.819313, norm of subgrad 39.502017	 stepsize= 1.000000 
-dualbound = 2881950.777463, lowerbound=1205589.777463, norm of subgrad 1098.637692	dualbound = 2881950.777463, lowerbound=1205589.777463, norm of subgrad 39.660536	 stepsize= 1.000000 
-dualbound = 2882070.680009, lowerbound=1203615.680009, norm of subgrad 1097.738439	dualbound = 2882070.680009, lowerbound=1203615.680009, norm of subgrad 39.165068	 stepsize= 1.000000 
-dualbound = 2882200.989786, lowerbound=1203159.989786, norm of subgrad 1097.544072	dualbound = 2882200.989786, lowerbound=1203159.989786, norm of subgrad 39.664969	 stepsize= 1.000000 
-dualbound = 2882356.663104, lowerbound=1201538.663104, norm of subgrad 1096.802928	dualbound = 2882356.663104, lowerbound=1201538.663104, norm of subgrad 39.920838	 stepsize= 1.000000 
-dualbound = 2882467.855873, lowerbound=1205666.855873, norm of subgrad 1098.698255	dualbound = 2882467.855873, lowerbound=1205666.855873, norm of subgrad 39.776787	 stepsize= 1.000000 
-dualbound = 2882596.038789, lowerbound=1199272.038789, norm of subgrad 1095.768698	dualbound = 2882596.038789, lowerbound=1199272.038789, norm of subgrad 39.562393	 stepsize= 1.000000 
-dualbound = 2882742.846575, lowerbound=1208413.846575, norm of subgrad 1099.937201	dualbound = 2882742.846575, lowerbound=1208413.846575, norm of subgrad 39.935045	 stepsize= 1.000000 
-dualbound = 2882905.892451, lowerbound=1198445.892451, norm of subgrad 1095.400791	dualbound = 2882905.892451, lowerbound=1198445.892451, norm of subgrad 40.249793	 stepsize= 1.000000 
-dualbound = 2883025.350173, lowerbound=1202203.350173, norm of subgrad 1097.114101	dualbound = 2883025.350173, lowerbound=1202203.350173, norm of subgrad 39.692036	 stepsize= 1.000000 
-dualbound = 2883160.676132, lowerbound=1202536.676132, norm of subgrad 1097.255064	dualbound = 2883160.676132, lowerbound=1202536.676132, norm of subgrad 39.589468	 stepsize= 1.000000 
-dualbound = 2883339.673991, lowerbound=1203077.673991, norm of subgrad 1097.501104	dualbound = 2883339.673991, lowerbound=1203077.673991, norm of subgrad 40.124779	 stepsize= 1.000000 
-dualbound = 2883466.581390, lowerbound=1203891.581390, norm of subgrad 1097.860912	dualbound = 2883466.581390, lowerbound=1203891.581390, norm of subgrad 39.165130	 stepsize= 1.000000 
-dualbound = 2883612.037995, lowerbound=1206849.037995, norm of subgrad 1099.220650	dualbound = 2883612.037995, lowerbound=1206849.037995, norm of subgrad 39.780103	 stepsize= 1.000000 
-dualbound = 2883731.228459, lowerbound=1200277.228459, norm of subgrad 1096.197167	dualbound = 2883731.228459, lowerbound=1200277.228459, norm of subgrad 38.602985	 stepsize= 1.000000 
-dualbound = 2883890.010448, lowerbound=1203618.010448, norm of subgrad 1097.731302	dualbound = 2883890.010448, lowerbound=1203618.010448, norm of subgrad 39.430724	 stepsize= 1.000000 
-dualbound = 2884029.903046, lowerbound=1205986.903046, norm of subgrad 1098.803851	dualbound = 2884029.903046, lowerbound=1205986.903046, norm of subgrad 39.024257	 stepsize= 1.000000 
-dualbound = 2884168.977455, lowerbound=1202524.977455, norm of subgrad 1097.225126	dualbound = 2884168.977455, lowerbound=1202524.977455, norm of subgrad 38.949639	 stepsize= 1.000000 
-dualbound = 2884317.973716, lowerbound=1204018.973716, norm of subgrad 1097.897524	dualbound = 2884317.973716, lowerbound=1204018.973716, norm of subgrad 38.845801	 stepsize= 1.000000 
-dualbound = 2884453.058962, lowerbound=1206640.058962, norm of subgrad 1099.101933	dualbound = 2884453.058962, lowerbound=1206640.058962, norm of subgrad 38.988271	 stepsize= 1.000000 
-dualbound = 2884595.379781, lowerbound=1199915.379781, norm of subgrad 1096.038950	dualbound = 2884595.379781, lowerbound=1199915.379781, norm of subgrad 39.093744	 stepsize= 1.000000 
-dualbound = 2884720.057548, lowerbound=1207042.057548, norm of subgrad 1099.288887	dualbound = 2884720.057548, lowerbound=1207042.057548, norm of subgrad 38.970216	 stepsize= 1.000000 
-dualbound = 2884859.591635, lowerbound=1204945.591635, norm of subgrad 1098.342657	dualbound = 2884859.591635, lowerbound=1204945.591635, norm of subgrad 39.376822	 stepsize= 1.000000 
-dualbound = 2884992.716210, lowerbound=1202334.716210, norm of subgrad 1097.165765	dualbound = 2884992.716210, lowerbound=1202334.716210, norm of subgrad 39.637414	 stepsize= 1.000000 
-dualbound = 2885094.654334, lowerbound=1205652.654334, norm of subgrad 1098.678140	dualbound = 2885094.654334, lowerbound=1205652.654334, norm of subgrad 39.280251	 stepsize= 1.000000 
-dualbound = 2885251.632993, lowerbound=1201862.632993, norm of subgrad 1096.956532	dualbound = 2885251.632993, lowerbound=1201862.632993, norm of subgrad 40.099609	 stepsize= 1.000000 
-dualbound = 2885402.257599, lowerbound=1205489.257599, norm of subgrad 1098.587847	dualbound = 2885402.257599, lowerbound=1205489.257599, norm of subgrad 39.454082	 stepsize= 1.000000 
-dualbound = 2885553.904594, lowerbound=1203754.904594, norm of subgrad 1097.780900	dualbound = 2885553.904594, lowerbound=1203754.904594, norm of subgrad 38.982650	 stepsize= 1.000000 
-dualbound = 2885676.882484, lowerbound=1201503.882484, norm of subgrad 1096.761087	dualbound = 2885676.882484, lowerbound=1201503.882484, norm of subgrad 38.781154	 stepsize= 1.000000 
-dualbound = 2885846.169635, lowerbound=1204985.169635, norm of subgrad 1098.352935	dualbound = 2885846.169635, lowerbound=1204985.169635, norm of subgrad 39.538426	 stepsize= 1.000000 
-dualbound = 2885936.885707, lowerbound=1200954.885707, norm of subgrad 1096.517162	dualbound = 2885936.885707, lowerbound=1200954.885707, norm of subgrad 38.544988	 stepsize= 1.000000 
-dualbound = 2886120.056933, lowerbound=1203374.056933, norm of subgrad 1097.615168	dualbound = 2886120.056933, lowerbound=1203374.056933, norm of subgrad 39.600142	 stepsize= 1.000000 
-dualbound = 2886215.897651, lowerbound=1201727.897651, norm of subgrad 1096.898764	dualbound = 2886215.897651, lowerbound=1201727.897651, norm of subgrad 39.431469	 stepsize= 1.000000 
-dualbound = 2886373.610256, lowerbound=1202648.610256, norm of subgrad 1097.303791	dualbound = 2886373.610256, lowerbound=1202648.610256, norm of subgrad 39.808449	 stepsize= 1.000000 
-dualbound = 2886492.215820, lowerbound=1204658.215820, norm of subgrad 1098.224574	dualbound = 2886492.215820, lowerbound=1204658.215820, norm of subgrad 39.466512	 stepsize= 1.000000 
-dualbound = 2886648.484519, lowerbound=1203941.484519, norm of subgrad 1097.922349	dualbound = 2886648.484519, lowerbound=1203941.484519, norm of subgrad 40.598876	 stepsize= 1.000000 
-dualbound = 2886762.925315, lowerbound=1202784.925315, norm of subgrad 1097.367726	dualbound = 2886762.925315, lowerbound=1202784.925315, norm of subgrad 39.312095	 stepsize= 1.000000 
-dualbound = 2886912.387529, lowerbound=1205374.387529, norm of subgrad 1098.525096	dualbound = 2886912.387529, lowerbound=1205374.387529, norm of subgrad 39.146676	 stepsize= 1.000000 
-dualbound = 2887066.398271, lowerbound=1204137.398271, norm of subgrad 1098.002458	dualbound = 2887066.398271, lowerbound=1204137.398271, norm of subgrad 40.323823	 stepsize= 1.000000 
-dualbound = 2887191.022814, lowerbound=1198718.022814, norm of subgrad 1095.508112	dualbound = 2887191.022814, lowerbound=1198718.022814, norm of subgrad 39.301712	 stepsize= 1.000000 
-dualbound = 2887313.896770, lowerbound=1203003.896770, norm of subgrad 1097.495739	dualbound = 2887313.896770, lowerbound=1203003.896770, norm of subgrad 40.197935	 stepsize= 1.000000 
-dualbound = 2887456.084594, lowerbound=1206139.084594, norm of subgrad 1098.898123	dualbound = 2887456.084594, lowerbound=1206139.084594, norm of subgrad 39.751576	 stepsize= 1.000000 
-dualbound = 2887611.055107, lowerbound=1207094.055107, norm of subgrad 1099.315266	dualbound = 2887611.055107, lowerbound=1207094.055107, norm of subgrad 39.433114	 stepsize= 1.000000 
-dualbound = 2887767.592910, lowerbound=1205776.592910, norm of subgrad 1098.686758	dualbound = 2887767.592910, lowerbound=1205776.592910, norm of subgrad 38.633377	 stepsize= 1.000000 
-dualbound = 2887899.121284, lowerbound=1207180.121284, norm of subgrad 1099.314387	dualbound = 2887899.121284, lowerbound=1207180.121284, norm of subgrad 37.993794	 stepsize= 1.000000 
-dualbound = 2888016.149115, lowerbound=1202907.149115, norm of subgrad 1097.414301	dualbound = 2888016.149115, lowerbound=1202907.149115, norm of subgrad 39.089997	 stepsize= 1.000000 
-dualbound = 2888152.182788, lowerbound=1202121.182788, norm of subgrad 1097.052498	dualbound = 2888152.182788, lowerbound=1202121.182788, norm of subgrad 39.230520	 stepsize= 1.000000 
-dualbound = 2888288.592182, lowerbound=1207135.592182, norm of subgrad 1099.335068	dualbound = 2888288.592182, lowerbound=1207135.592182, norm of subgrad 39.222562	 stepsize= 1.000000 
-dualbound = 2888449.435266, lowerbound=1202042.435266, norm of subgrad 1097.014328	dualbound = 2888449.435266, lowerbound=1202042.435266, norm of subgrad 39.482187	 stepsize= 1.000000 
-dualbound = 2888565.899727, lowerbound=1202137.899727, norm of subgrad 1097.054648	dualbound = 2888565.899727, lowerbound=1202137.899727, norm of subgrad 38.826080	 stepsize= 1.000000 
-dualbound = 2888727.086750, lowerbound=1203997.086750, norm of subgrad 1097.927177	dualbound = 2888727.086750, lowerbound=1203997.086750, norm of subgrad 40.102207	 stepsize= 1.000000 
-dualbound = 2888833.951130, lowerbound=1206749.951130, norm of subgrad 1099.172849	dualbound = 2888833.951130, lowerbound=1206749.951130, norm of subgrad 39.215614	 stepsize= 1.000000 
-dualbound = 2888972.269078, lowerbound=1202830.269078, norm of subgrad 1097.376995	dualbound = 2888972.269078, lowerbound=1202830.269078, norm of subgrad 39.297811	 stepsize= 1.000000 
-dualbound = 2889107.917631, lowerbound=1202920.917631, norm of subgrad 1097.428776	dualbound = 2889107.917631, lowerbound=1202920.917631, norm of subgrad 39.555639	 stepsize= 1.000000 
-dualbound = 2889256.517945, lowerbound=1202636.517945, norm of subgrad 1097.269118	dualbound = 2889256.517945, lowerbound=1202636.517945, norm of subgrad 38.879304	 stepsize= 1.000000 
-dualbound = 2889398.753339, lowerbound=1205236.753339, norm of subgrad 1098.469733	dualbound = 2889398.753339, lowerbound=1205236.753339, norm of subgrad 39.258571	 stepsize= 1.000000 
-dualbound = 2889529.835968, lowerbound=1201322.835968, norm of subgrad 1096.700887	dualbound = 2889529.835968, lowerbound=1201322.835968, norm of subgrad 39.510538	 stepsize= 1.000000 
-dualbound = 2889675.799125, lowerbound=1203259.799125, norm of subgrad 1097.562207	dualbound = 2889675.799125, lowerbound=1203259.799125, norm of subgrad 39.101958	 stepsize= 1.000000 
-dualbound = 2889834.727955, lowerbound=1209158.727955, norm of subgrad 1100.234851	dualbound = 2889834.727955, lowerbound=1209158.727955, norm of subgrad 38.947771	 stepsize= 1.000000 
-dualbound = 2889950.243618, lowerbound=1201721.243618, norm of subgrad 1096.902568	dualbound = 2889950.243618, lowerbound=1201721.243618, norm of subgrad 39.868730	 stepsize= 1.000000 
-dualbound = 2890073.469200, lowerbound=1202710.469200, norm of subgrad 1097.348381	dualbound = 2890073.469200, lowerbound=1202710.469200, norm of subgrad 39.827448	 stepsize= 1.000000 
-dualbound = 2890213.251138, lowerbound=1204608.251138, norm of subgrad 1098.174053	dualbound = 2890213.251138, lowerbound=1204608.251138, norm of subgrad 38.958721	 stepsize= 1.000000 
-dualbound = 2890364.166251, lowerbound=1203606.166251, norm of subgrad 1097.742304	dualbound = 2890364.166251, lowerbound=1203606.166251, norm of subgrad 39.785866	 stepsize= 1.000000 
-dualbound = 2890490.914894, lowerbound=1207740.914894, norm of subgrad 1099.636265	dualbound = 2890490.914894, lowerbound=1207740.914894, norm of subgrad 39.821460	 stepsize= 1.000000 
-dualbound = 2890643.371310, lowerbound=1201446.371310, norm of subgrad 1096.753104	dualbound = 2890643.371310, lowerbound=1201446.371310, norm of subgrad 39.666818	 stepsize= 1.000000 
-dualbound = 2890761.810951, lowerbound=1208809.810951, norm of subgrad 1100.095819	dualbound = 2890761.810951, lowerbound=1208809.810951, norm of subgrad 38.979990	 stepsize= 1.000000 
-dualbound = 2890908.472701, lowerbound=1201166.472701, norm of subgrad 1096.594945	dualbound = 2890908.472701, lowerbound=1201166.472701, norm of subgrad 38.738376	 stepsize= 1.000000 
-dualbound = 2891046.403689, lowerbound=1207860.403689, norm of subgrad 1099.656493	dualbound = 2891046.403689, lowerbound=1207860.403689, norm of subgrad 39.011934	 stepsize= 1.000000 
-dualbound = 2891191.697087, lowerbound=1206106.697087, norm of subgrad 1098.867916	dualbound = 2891191.697087, lowerbound=1206106.697087, norm of subgrad 39.361064	 stepsize= 1.000000 
-dualbound = 2891308.264926, lowerbound=1199970.264926, norm of subgrad 1096.076761	dualbound = 2891308.264926, lowerbound=1199970.264926, norm of subgrad 39.122472	 stepsize= 1.000000 
-dualbound = 2891467.173148, lowerbound=1200915.173148, norm of subgrad 1096.484917	dualbound = 2891467.173148, lowerbound=1200915.173148, norm of subgrad 39.024457	 stepsize= 1.000000 
-dualbound = 2891608.961169, lowerbound=1209936.961169, norm of subgrad 1100.606179	dualbound = 2891608.961169, lowerbound=1209936.961169, norm of subgrad 39.227389	 stepsize= 1.000000 
-dualbound = 2891739.469239, lowerbound=1199968.469239, norm of subgrad 1096.072748	dualbound = 2891739.469239, lowerbound=1199968.469239, norm of subgrad 39.211071	 stepsize= 1.000000 
-dualbound = 2891887.547894, lowerbound=1206799.547894, norm of subgrad 1099.180398	dualbound = 2891887.547894, lowerbound=1206799.547894, norm of subgrad 39.320207	 stepsize= 1.000000 
-dualbound = 2891993.699735, lowerbound=1205424.699735, norm of subgrad 1098.571663	dualbound = 2891993.699735, lowerbound=1205424.699735, norm of subgrad 39.257507	 stepsize= 1.000000 
-dualbound = 2892158.419645, lowerbound=1203840.419645, norm of subgrad 1097.834878	dualbound = 2892158.419645, lowerbound=1203840.419645, norm of subgrad 39.569179	 stepsize= 1.000000 
-dualbound = 2892265.517561, lowerbound=1208837.517561, norm of subgrad 1100.138408	dualbound = 2892265.517561, lowerbound=1208837.517561, norm of subgrad 39.674903	 stepsize= 1.000000 
-dualbound = 2892403.923929, lowerbound=1201207.923929, norm of subgrad 1096.657615	dualbound = 2892403.923929, lowerbound=1201207.923929, norm of subgrad 39.854816	 stepsize= 1.000000 
-dualbound = 2892522.019528, lowerbound=1203909.019528, norm of subgrad 1097.888437	dualbound = 2892522.019528, lowerbound=1203909.019528, norm of subgrad 39.599187	 stepsize= 1.000000 
-dualbound = 2892680.710735, lowerbound=1204497.710735, norm of subgrad 1098.140570	dualbound = 2892680.710735, lowerbound=1204497.710735, norm of subgrad 39.669777	 stepsize= 1.000000 
-dualbound = 2892833.958639, lowerbound=1202992.958639, norm of subgrad 1097.427428	dualbound = 2892833.958639, lowerbound=1202992.958639, norm of subgrad 38.823291	 stepsize= 1.000000 
-dualbound = 2892963.028340, lowerbound=1209311.028340, norm of subgrad 1100.319966	dualbound = 2892963.028340, lowerbound=1209311.028340, norm of subgrad 39.013712	 stepsize= 1.000000 
-dualbound = 2893101.554506, lowerbound=1205918.554506, norm of subgrad 1098.770474	dualbound = 2893101.554506, lowerbound=1205918.554506, norm of subgrad 38.942601	 stepsize= 1.000000 
-dualbound = 2893240.033435, lowerbound=1206276.033435, norm of subgrad 1098.969533	dualbound = 2893240.033435, lowerbound=1206276.033435, norm of subgrad 39.955962	 stepsize= 1.000000 
-dualbound = 2893364.947414, lowerbound=1200553.947414, norm of subgrad 1096.377648	dualbound = 2893364.947414, lowerbound=1200553.947414, norm of subgrad 40.185992	 stepsize= 1.000000 
-dualbound = 2893476.555005, lowerbound=1206791.555005, norm of subgrad 1099.206784	dualbound = 2893476.555005, lowerbound=1206791.555005, norm of subgrad 39.693924	 stepsize= 1.000000 
-dualbound = 2893628.611764, lowerbound=1202261.611764, norm of subgrad 1097.107384	dualbound = 2893628.611764, lowerbound=1202261.611764, norm of subgrad 39.179800	 stepsize= 1.000000 
-dualbound = 2893769.261114, lowerbound=1203358.261114, norm of subgrad 1097.619361	dualbound = 2893769.261114, lowerbound=1203358.261114, norm of subgrad 39.378285	 stepsize= 1.000000 
-dualbound = 2893906.446965, lowerbound=1205715.446965, norm of subgrad 1098.679866	dualbound = 2893906.446965, lowerbound=1205715.446965, norm of subgrad 38.976735	 stepsize= 1.000000 
-dualbound = 2894037.975332, lowerbound=1208071.975332, norm of subgrad 1099.770419	dualbound = 2894037.975332, lowerbound=1208071.975332, norm of subgrad 39.427508	 stepsize= 1.000000 
-dualbound = 2894167.787748, lowerbound=1203294.787748, norm of subgrad 1097.569491	dualbound = 2894167.787748, lowerbound=1203294.787748, norm of subgrad 38.649870	 stepsize= 1.000000 
-dualbound = 2894334.638550, lowerbound=1200027.638550, norm of subgrad 1096.091985	dualbound = 2894334.638550, lowerbound=1200027.638550, norm of subgrad 39.456949	 stepsize= 1.000000 
-dualbound = 2894463.223702, lowerbound=1209935.223702, norm of subgrad 1100.595849	dualbound = 2894463.223702, lowerbound=1209935.223702, norm of subgrad 38.788982	 stepsize= 1.000000 
-dualbound = 2894566.714630, lowerbound=1205768.714630, norm of subgrad 1098.741878	dualbound = 2894566.714630, lowerbound=1205768.714630, norm of subgrad 39.604178	 stepsize= 1.000000 
-dualbound = 2894728.388641, lowerbound=1202540.388641, norm of subgrad 1097.209364	dualbound = 2894728.388641, lowerbound=1202540.388641, norm of subgrad 38.596295	 stepsize= 1.000000 
-dualbound = 2894856.316567, lowerbound=1199706.316567, norm of subgrad 1095.972772	dualbound = 2894856.316567, lowerbound=1199706.316567, norm of subgrad 39.723141	 stepsize= 1.000000 
-dualbound = 2894987.101954, lowerbound=1206089.101954, norm of subgrad 1098.884936	dualbound = 2894987.101954, lowerbound=1206089.101954, norm of subgrad 39.872113	 stepsize= 1.000000 
-dualbound = 2895137.332912, lowerbound=1209102.332912, norm of subgrad 1100.232854	dualbound = 2895137.332912, lowerbound=1209102.332912, norm of subgrad 39.499759	 stepsize= 1.000000 
-dualbound = 2895271.340645, lowerbound=1204397.340645, norm of subgrad 1098.098511	dualbound = 2895271.340645, lowerbound=1204397.340645, norm of subgrad 39.458937	 stepsize= 1.000000 
-dualbound = 2895400.003439, lowerbound=1207090.003439, norm of subgrad 1099.316607	dualbound = 2895400.003439, lowerbound=1207090.003439, norm of subgrad 39.187534	 stepsize= 1.000000 
-dualbound = 2895573.179423, lowerbound=1203819.179423, norm of subgrad 1097.808808	dualbound = 2895573.179423, lowerbound=1203819.179423, norm of subgrad 39.219587	 stepsize= 1.000000 
-dualbound = 2895695.707288, lowerbound=1205166.707288, norm of subgrad 1098.443311	dualbound = 2895695.707288, lowerbound=1205166.707288, norm of subgrad 39.160284	 stepsize= 1.000000 
-dualbound = 2895815.209181, lowerbound=1204850.209181, norm of subgrad 1098.336565	dualbound = 2895815.209181, lowerbound=1204850.209181, norm of subgrad 40.155970	 stepsize= 1.000000 
-dualbound = 2895941.841174, lowerbound=1206761.841174, norm of subgrad 1099.174163	dualbound = 2895941.841174, lowerbound=1206761.841174, norm of subgrad 39.352662	 stepsize= 1.000000 
-dualbound = 2896089.375609, lowerbound=1200953.375609, norm of subgrad 1096.532889	dualbound = 2896089.375609, lowerbound=1200953.375609, norm of subgrad 39.730774	 stepsize= 1.000000 
-dualbound = 2896227.686811, lowerbound=1208399.686811, norm of subgrad 1099.906217	dualbound = 2896227.686811, lowerbound=1208399.686811, norm of subgrad 39.144747	 stepsize= 1.000000 
-dualbound = 2896371.456787, lowerbound=1202592.456787, norm of subgrad 1097.254509	dualbound = 2896371.456787, lowerbound=1202592.456787, norm of subgrad 38.971399	 stepsize= 1.000000 
-dualbound = 2896516.350138, lowerbound=1207957.350138, norm of subgrad 1099.710121	dualbound = 2896516.350138, lowerbound=1207957.350138, norm of subgrad 39.368685	 stepsize= 1.000000 
-dualbound = 2896638.212640, lowerbound=1203521.212640, norm of subgrad 1097.666257	dualbound = 2896638.212640, lowerbound=1203521.212640, norm of subgrad 38.364860	 stepsize= 1.000000 
-dualbound = 2896778.338351, lowerbound=1208358.338351, norm of subgrad 1099.873328	dualbound = 2896778.338351, lowerbound=1208358.338351, norm of subgrad 38.770165	 stepsize= 1.000000 
-dualbound = 2896909.429800, lowerbound=1202067.429800, norm of subgrad 1096.999284	dualbound = 2896909.429800, lowerbound=1202067.429800, norm of subgrad 38.354810	 stepsize= 1.000000 
-dualbound = 2897072.415795, lowerbound=1206987.415795, norm of subgrad 1099.254482	dualbound = 2897072.415795, lowerbound=1206987.415795, norm of subgrad 39.191657	 stepsize= 1.000000 
-dualbound = 2897167.881430, lowerbound=1205307.881430, norm of subgrad 1098.532604	dualbound = 2897167.881430, lowerbound=1205307.881430, norm of subgrad 39.515385	 stepsize= 1.000000 
-dualbound = 2897306.284298, lowerbound=1204454.284298, norm of subgrad 1098.112601	dualbound = 2897306.284298, lowerbound=1204454.284298, norm of subgrad 39.184217	 stepsize= 1.000000 
-dualbound = 2897455.039665, lowerbound=1202394.039665, norm of subgrad 1097.176850	dualbound = 2897455.039665, lowerbound=1202394.039665, norm of subgrad 39.392326	 stepsize= 1.000000 
-dualbound = 2897593.095347, lowerbound=1203585.095347, norm of subgrad 1097.704466	dualbound = 2897593.095347, lowerbound=1203585.095347, norm of subgrad 38.833693	 stepsize= 1.000000 
-dualbound = 2897728.472836, lowerbound=1202127.472836, norm of subgrad 1097.049895	dualbound = 2897728.472836, lowerbound=1202127.472836, norm of subgrad 39.068881	 stepsize= 1.000000 
-dualbound = 2897867.643485, lowerbound=1208708.643485, norm of subgrad 1100.049837	dualbound = 2897867.643485, lowerbound=1208708.643485, norm of subgrad 39.245008	 stepsize= 1.000000 
-dualbound = 2897985.789044, lowerbound=1203358.789044, norm of subgrad 1097.620512	dualbound = 2897985.789044, lowerbound=1203358.789044, norm of subgrad 39.117075	 stepsize= 1.000000 
-dualbound = 2898114.441525, lowerbound=1205673.441525, norm of subgrad 1098.660294	dualbound = 2898114.441525, lowerbound=1205673.441525, norm of subgrad 38.854247	 stepsize= 1.000000 
-dualbound = 2898297.857187, lowerbound=1205041.857187, norm of subgrad 1098.381927	dualbound = 2898297.857187, lowerbound=1205041.857187, norm of subgrad 39.804719	 stepsize= 1.000000 
-dualbound = 2898378.850810, lowerbound=1207188.850810, norm of subgrad 1099.359746	dualbound = 2898378.850810, lowerbound=1207188.850810, norm of subgrad 38.522638	 stepsize= 1.000000 
-dualbound = 2898574.205678, lowerbound=1205413.205678, norm of subgrad 1098.550047	dualbound = 2898574.205678, lowerbound=1205413.205678, norm of subgrad 39.929373	 stepsize= 1.000000 
-dualbound = 2898659.873070, lowerbound=1210625.873070, norm of subgrad 1100.920466	dualbound = 2898659.873070, lowerbound=1210625.873070, norm of subgrad 38.544356	 stepsize= 1.000000 
-dualbound = 2898801.339134, lowerbound=1197491.339134, norm of subgrad 1094.956318	dualbound = 2898801.339134, lowerbound=1197491.339134, norm of subgrad 39.742497	 stepsize= 1.000000 
-dualbound = 2898928.912183, lowerbound=1213967.912183, norm of subgrad 1102.454494	dualbound = 2898928.912183, lowerbound=1213967.912183, norm of subgrad 39.567323	 stepsize= 1.000000 
-dualbound = 2899075.119375, lowerbound=1201613.119375, norm of subgrad 1096.825929	dualbound = 2899075.119375, lowerbound=1201613.119375, norm of subgrad 39.499458	 stepsize= 1.000000 
-dualbound = 2899224.339523, lowerbound=1211758.339523, norm of subgrad 1101.451923	dualbound = 2899224.339523, lowerbound=1211758.339523, norm of subgrad 39.839932	 stepsize= 1.000000 
-dualbound = 2899333.580688, lowerbound=1206478.580688, norm of subgrad 1099.021192	dualbound = 2899333.580688, lowerbound=1206478.580688, norm of subgrad 38.447902	 stepsize= 1.000000 
-dualbound = 2899495.349471, lowerbound=1209032.349471, norm of subgrad 1100.221955	dualbound = 2899495.349471, lowerbound=1209032.349471, norm of subgrad 40.221497	 stepsize= 1.000000 
-dualbound = 2899597.566934, lowerbound=1207402.566934, norm of subgrad 1099.448756	dualbound = 2899597.566934, lowerbound=1207402.566934, norm of subgrad 38.564459	 stepsize= 1.000000 
-dualbound = 2899754.084078, lowerbound=1202582.084078, norm of subgrad 1097.275756	dualbound = 2899754.084078, lowerbound=1202582.084078, norm of subgrad 39.856206	 stepsize= 1.000000 
-dualbound = 2899864.977097, lowerbound=1205106.977097, norm of subgrad 1098.421129	dualbound = 2899864.977097, lowerbound=1205106.977097, norm of subgrad 39.152178	 stepsize= 1.000000 
-dualbound = 2899999.608479, lowerbound=1202994.608479, norm of subgrad 1097.445948	dualbound = 2899999.608479, lowerbound=1202994.608479, norm of subgrad 39.084925	 stepsize= 1.000000 
-dualbound = 2900167.555320, lowerbound=1205808.555320, norm of subgrad 1098.732704	dualbound = 2900167.555320, lowerbound=1205808.555320, norm of subgrad 39.660394	 stepsize= 1.000000 
-dualbound = 2900293.851682, lowerbound=1207168.851682, norm of subgrad 1099.362930	dualbound = 2900293.851682, lowerbound=1207168.851682, norm of subgrad 39.449922	 stepsize= 1.000000 
-dualbound = 2900434.552146, lowerbound=1204447.552146, norm of subgrad 1098.127749	dualbound = 2900434.552146, lowerbound=1204447.552146, norm of subgrad 39.720278	 stepsize= 1.000000 
-dualbound = 2900556.394270, lowerbound=1205677.394270, norm of subgrad 1098.673470	dualbound = 2900556.394270, lowerbound=1205677.394270, norm of subgrad 39.087621	 stepsize= 1.000000 
-dualbound = 2900721.866869, lowerbound=1206490.866869, norm of subgrad 1099.041795	dualbound = 2900721.866869, lowerbound=1206490.866869, norm of subgrad 39.591320	 stepsize= 1.000000 
-dualbound = 2900841.410831, lowerbound=1202385.410831, norm of subgrad 1097.150587	dualbound = 2900841.410831, lowerbound=1202385.410831, norm of subgrad 38.386768	 stepsize= 1.000000 
-dualbound = 2901008.376315, lowerbound=1201138.376315, norm of subgrad 1096.576206	dualbound = 2901008.376315, lowerbound=1201138.376315, norm of subgrad 38.832531	 stepsize= 1.000000 
-dualbound = 2901118.543360, lowerbound=1208196.543360, norm of subgrad 1099.812049	dualbound = 2901118.543360, lowerbound=1208196.543360, norm of subgrad 38.731990	 stepsize= 1.000000 
-dualbound = 2901243.961701, lowerbound=1204933.961701, norm of subgrad 1098.330989	dualbound = 2901243.961701, lowerbound=1204933.961701, norm of subgrad 39.018180	 stepsize= 1.000000 
-dualbound = 2901380.512656, lowerbound=1206922.512656, norm of subgrad 1099.210404	dualbound = 2901380.512656, lowerbound=1206922.512656, norm of subgrad 38.438925	 stepsize= 1.000000 
-dualbound = 2901533.979537, lowerbound=1202472.979537, norm of subgrad 1097.219203	dualbound = 2901533.979537, lowerbound=1202472.979537, norm of subgrad 39.629117	 stepsize= 1.000000 
-dualbound = 2901664.439026, lowerbound=1209054.439026, norm of subgrad 1100.196091	dualbound = 2901664.439026, lowerbound=1209054.439026, norm of subgrad 38.826016	 stepsize= 1.000000 
-dualbound = 2901799.871911, lowerbound=1208548.871911, norm of subgrad 1099.977214	dualbound = 2901799.871911, lowerbound=1208548.871911, norm of subgrad 39.197358	 stepsize= 1.000000 
-dualbound = 2901938.130867, lowerbound=1210107.130867, norm of subgrad 1100.693477	dualbound = 2901938.130867, lowerbound=1210107.130867, norm of subgrad 39.462121	 stepsize= 1.000000 
-dualbound = 2902067.100016, lowerbound=1203559.100016, norm of subgrad 1097.688981	dualbound = 2902067.100016, lowerbound=1203559.100016, norm of subgrad 38.613070	 stepsize= 1.000000 
-dualbound = 2902221.661335, lowerbound=1210668.661335, norm of subgrad 1100.908562	dualbound = 2902221.661335, lowerbound=1210668.661335, norm of subgrad 38.542980	 stepsize= 1.000000 
-dualbound = 2902357.264932, lowerbound=1200998.264932, norm of subgrad 1096.493623	dualbound = 2902357.264932, lowerbound=1200998.264932, norm of subgrad 37.889360	 stepsize= 1.000000 
-dualbound = 2902514.595872, lowerbound=1206354.595872, norm of subgrad 1098.992082	dualbound = 2902514.595872, lowerbound=1206354.595872, norm of subgrad 39.828770	 stepsize= 1.000000 
-dualbound = 2902589.121872, lowerbound=1201825.121872, norm of subgrad 1096.943536	dualbound = 2902589.121872, lowerbound=1201825.121872, norm of subgrad 39.173026	 stepsize= 1.000000 
-dualbound = 2902733.036075, lowerbound=1208585.036075, norm of subgrad 1099.996380	dualbound = 2902733.036075, lowerbound=1208585.036075, norm of subgrad 39.381648	 stepsize= 1.000000 
-dualbound = 2902902.291988, lowerbound=1203739.291988, norm of subgrad 1097.770601	dualbound = 2902902.291988, lowerbound=1203739.291988, norm of subgrad 39.118486	 stepsize= 1.000000 
-dualbound = 2903029.563121, lowerbound=1209356.563121, norm of subgrad 1100.329752	dualbound = 2903029.563121, lowerbound=1209356.563121, norm of subgrad 38.681664	 stepsize= 1.000000 
-dualbound = 2903190.234232, lowerbound=1202500.234232, norm of subgrad 1097.214762	dualbound = 2903190.234232, lowerbound=1202500.234232, norm of subgrad 39.251384	 stepsize= 1.000000 
-dualbound = 2903262.103702, lowerbound=1206817.103702, norm of subgrad 1099.228413	dualbound = 2903262.103702, lowerbound=1206817.103702, norm of subgrad 39.469855	 stepsize= 1.000000 
-dualbound = 2903419.543042, lowerbound=1208168.543042, norm of subgrad 1099.816141	dualbound = 2903419.543042, lowerbound=1208168.543042, norm of subgrad 39.805017	 stepsize= 1.000000 
-dualbound = 2903538.903206, lowerbound=1207749.903206, norm of subgrad 1099.621254	dualbound = 2903538.903206, lowerbound=1207749.903206, norm of subgrad 39.196431	 stepsize= 1.000000 
-dualbound = 2903696.038535, lowerbound=1203913.038535, norm of subgrad 1097.865674	dualbound = 2903696.038535, lowerbound=1203913.038535, norm of subgrad 39.409838	 stepsize= 1.000000 
-dualbound = 2903804.680402, lowerbound=1207049.680402, norm of subgrad 1099.293264	dualbound = 2903804.680402, lowerbound=1207049.680402, norm of subgrad 38.789713	 stepsize= 1.000000 
-dualbound = 2903975.177790, lowerbound=1206048.177790, norm of subgrad 1098.799881	dualbound = 2903975.177790, lowerbound=1206048.177790, norm of subgrad 38.516196	 stepsize= 1.000000 
-dualbound = 2904106.425193, lowerbound=1208463.425193, norm of subgrad 1099.928373	dualbound = 2904106.425193, lowerbound=1208463.425193, norm of subgrad 38.861902	 stepsize= 1.000000 
-dualbound = 2904222.768012, lowerbound=1208517.768012, norm of subgrad 1099.932165	dualbound = 2904222.768012, lowerbound=1208517.768012, norm of subgrad 38.070235	 stepsize= 1.000000 
-dualbound = 2904385.677062, lowerbound=1202925.677062, norm of subgrad 1097.415453	dualbound = 2904385.677062, lowerbound=1202925.677062, norm of subgrad 39.470357	 stepsize= 1.000000 
-dualbound = 2904486.947748, lowerbound=1201483.947748, norm of subgrad 1096.788014	dualbound = 2904486.947748, lowerbound=1201483.947748, norm of subgrad 39.512918	 stepsize= 1.000000 
-dualbound = 2904605.333356, lowerbound=1210449.333356, norm of subgrad 1100.884796	dualbound = 2904605.333356, lowerbound=1210449.333356, norm of subgrad 40.204298	 stepsize= 1.000000 
-dualbound = 2904744.684082, lowerbound=1204809.684082, norm of subgrad 1098.320392	dualbound = 2904744.684082, lowerbound=1204809.684082, norm of subgrad 40.464191	 stepsize= 1.000000 
-dualbound = 2904882.453799, lowerbound=1202459.453799, norm of subgrad 1097.219875	dualbound = 2904882.453799, lowerbound=1202459.453799, norm of subgrad 39.620320	 stepsize= 1.000000 
-dualbound = 2905023.639035, lowerbound=1206149.639035, norm of subgrad 1098.893370	dualbound = 2905023.639035, lowerbound=1206149.639035, norm of subgrad 39.473855	 stepsize= 1.000000 
-dualbound = 2905187.337709, lowerbound=1212564.337709, norm of subgrad 1101.776446	dualbound = 2905187.337709, lowerbound=1212564.337709, norm of subgrad 38.867707	 stepsize= 1.000000 
-dualbound = 2905313.168812, lowerbound=1202966.168812, norm of subgrad 1097.436635	dualbound = 2905313.168812, lowerbound=1202966.168812, norm of subgrad 39.074686	 stepsize= 1.000000 
-dualbound = 2905463.484645, lowerbound=1210906.484645, norm of subgrad 1101.021564	dualbound = 2905463.484645, lowerbound=1210906.484645, norm of subgrad 38.630504	 stepsize= 1.000000 
-dualbound = 2905585.554304, lowerbound=1203272.554304, norm of subgrad 1097.583051	dualbound = 2905585.554304, lowerbound=1203272.554304, norm of subgrad 39.218231	 stepsize= 1.000000 
-dualbound = 2905711.048226, lowerbound=1203262.048226, norm of subgrad 1097.576899	dualbound = 2905711.048226, lowerbound=1203262.048226, norm of subgrad 39.223640	 stepsize= 1.000000 
-dualbound = 2905840.373058, lowerbound=1205679.373058, norm of subgrad 1098.668455	dualbound = 2905840.373058, lowerbound=1205679.373058, norm of subgrad 39.016981	 stepsize= 1.000000 
-dualbound = 2905973.069484, lowerbound=1208772.069484, norm of subgrad 1100.079574	dualbound = 2905973.069484, lowerbound=1208772.069484, norm of subgrad 39.187963	 stepsize= 1.000000 
-dualbound = 2906123.286501, lowerbound=1202706.286501, norm of subgrad 1097.296353	dualbound = 2906123.286501, lowerbound=1202706.286501, norm of subgrad 38.771343	 stepsize= 1.000000 
-dualbound = 2906263.051205, lowerbound=1211139.051205, norm of subgrad 1101.165315	dualbound = 2906263.051205, lowerbound=1211139.051205, norm of subgrad 39.569745	 stepsize= 1.000000 
-dualbound = 2906378.880902, lowerbound=1204674.880902, norm of subgrad 1098.215316	dualbound = 2906378.880902, lowerbound=1204674.880902, norm of subgrad 38.959334	 stepsize= 1.000000 
-dualbound = 2906524.518747, lowerbound=1207134.518747, norm of subgrad 1099.337309	dualbound = 2906524.518747, lowerbound=1207134.518747, norm of subgrad 39.416213	 stepsize= 1.000000 
-dualbound = 2906662.355490, lowerbound=1206009.355490, norm of subgrad 1098.798596	dualbound = 2906662.355490, lowerbound=1206009.355490, norm of subgrad 38.559522	 stepsize= 1.000000 
-dualbound = 2906813.952191, lowerbound=1205350.952191, norm of subgrad 1098.541284	dualbound = 2906813.952191, lowerbound=1205350.952191, norm of subgrad 39.919879	 stepsize= 1.000000 
-dualbound = 2906903.665407, lowerbound=1206873.665407, norm of subgrad 1099.229578	dualbound = 2906903.665407, lowerbound=1206873.665407, norm of subgrad 39.009143	 stepsize= 1.000000 
-dualbound = 2907077.348699, lowerbound=1211592.348699, norm of subgrad 1101.348877	dualbound = 2907077.348699, lowerbound=1211592.348699, norm of subgrad 39.378716	 stepsize= 1.000000 
-dualbound = 2907199.951794, lowerbound=1202148.951794, norm of subgrad 1097.077915	dualbound = 2907199.951794, lowerbound=1202148.951794, norm of subgrad 39.415772	 stepsize= 1.000000 
-dualbound = 2907322.895264, lowerbound=1206510.895264, norm of subgrad 1099.043173	dualbound = 2907322.895264, lowerbound=1206510.895264, norm of subgrad 38.832248	 stepsize= 1.000000 
-dualbound = 2907469.916905, lowerbound=1207048.916905, norm of subgrad 1099.287004	dualbound = 2907469.916905, lowerbound=1207048.916905, norm of subgrad 39.115491	 stepsize= 1.000000 
-dualbound = 2907596.688706, lowerbound=1210341.688706, norm of subgrad 1100.802747	dualbound = 2907596.688706, lowerbound=1210341.688706, norm of subgrad 39.392535	 stepsize= 1.000000 
-dualbound = 2907742.906144, lowerbound=1201943.906144, norm of subgrad 1096.956656	dualbound = 2907742.906144, lowerbound=1201943.906144, norm of subgrad 38.938637	 stepsize= 1.000000 
-dualbound = 2907886.115786, lowerbound=1210665.115786, norm of subgrad 1100.907406	dualbound = 2907886.115786, lowerbound=1210665.115786, norm of subgrad 38.408458	 stepsize= 1.000000 
-dualbound = 2908051.216672, lowerbound=1204777.216672, norm of subgrad 1098.215924	dualbound = 2908051.216672, lowerbound=1204777.216672, norm of subgrad 38.289697	 stepsize= 1.000000 
-dualbound = 2908170.531006, lowerbound=1209668.531006, norm of subgrad 1100.463326	dualbound = 2908170.531006, lowerbound=1209668.531006, norm of subgrad 38.344678	 stepsize= 1.000000 
-dualbound = 2908274.330085, lowerbound=1207709.330085, norm of subgrad 1099.595985	dualbound = 2908274.330085, lowerbound=1207709.330085, norm of subgrad 38.804627	 stepsize= 1.000000 
-dualbound = 2908403.441249, lowerbound=1208820.441249, norm of subgrad 1100.103832	dualbound = 2908403.441249, lowerbound=1208820.441249, norm of subgrad 39.206009	 stepsize= 1.000000 
-dualbound = 2908542.564779, lowerbound=1201446.564779, norm of subgrad 1096.765957	dualbound = 2908542.564779, lowerbound=1201446.564779, norm of subgrad 39.851268	 stepsize= 1.000000 
-dualbound = 2908653.850539, lowerbound=1212507.850539, norm of subgrad 1101.771233	dualbound = 2908653.850539, lowerbound=1212507.850539, norm of subgrad 38.772229	 stepsize= 1.000000 
-dualbound = 2908820.989529, lowerbound=1206109.989529, norm of subgrad 1098.871689	dualbound = 2908820.989529, lowerbound=1206109.989529, norm of subgrad 39.700617	 stepsize= 1.000000 
-dualbound = 2908912.990301, lowerbound=1207625.990301, norm of subgrad 1099.567638	dualbound = 2908912.990301, lowerbound=1207625.990301, norm of subgrad 38.923011	 stepsize= 1.000000 
-dualbound = 2909074.723124, lowerbound=1205120.723124, norm of subgrad 1098.464257	dualbound = 2909074.723124, lowerbound=1205120.723124, norm of subgrad 40.801138	 stepsize= 1.000000 
-dualbound = 2909178.606788, lowerbound=1212466.606788, norm of subgrad 1101.741624	dualbound = 2909178.606788, lowerbound=1212466.606788, norm of subgrad 38.365136	 stepsize= 1.000000 
-dualbound = 2909357.198290, lowerbound=1201524.198290, norm of subgrad 1096.728407	dualbound = 2909357.198290, lowerbound=1201524.198290, norm of subgrad 38.309157	 stepsize= 1.000000 
-dualbound = 2909488.276429, lowerbound=1210187.276429, norm of subgrad 1100.696269	dualbound = 2909488.276429, lowerbound=1210187.276429, norm of subgrad 38.419762	 stepsize= 1.000000 
-dualbound = 2909613.855611, lowerbound=1205309.855611, norm of subgrad 1098.481614	dualbound = 2909613.855611, lowerbound=1205309.855611, norm of subgrad 38.439292	 stepsize= 1.000000 
-dualbound = 2909769.800135, lowerbound=1206956.800135, norm of subgrad 1099.223726	dualbound = 2909769.800135, lowerbound=1206956.800135, norm of subgrad 38.625698	 stepsize= 1.000000 
-dualbound = 2909870.647187, lowerbound=1208493.647187, norm of subgrad 1099.940293	dualbound = 2909870.647187, lowerbound=1208493.647187, norm of subgrad 38.416755	 stepsize= 1.000000 
-dualbound = 2910013.485276, lowerbound=1206491.485276, norm of subgrad 1099.051630	dualbound = 2910013.485276, lowerbound=1206491.485276, norm of subgrad 39.570672	 stepsize= 1.000000 
-dualbound = 2910118.777590, lowerbound=1206566.777590, norm of subgrad 1099.106354	dualbound = 2910118.777590, lowerbound=1206566.777590, norm of subgrad 39.664749	 stepsize= 1.000000 
-dualbound = 2910258.308259, lowerbound=1204866.308259, norm of subgrad 1098.305198	dualbound = 2910258.308259, lowerbound=1204866.308259, norm of subgrad 39.338666	 stepsize= 1.000000 
-dualbound = 2910415.575194, lowerbound=1209506.575194, norm of subgrad 1100.380650	dualbound = 2910415.575194, lowerbound=1209506.575194, norm of subgrad 38.578063	 stepsize= 1.000000 
-dualbound = 2910563.572570, lowerbound=1205759.572570, norm of subgrad 1098.675372	dualbound = 2910563.572570, lowerbound=1205759.572570, norm of subgrad 38.418711	 stepsize= 1.000000 
-dualbound = 2910680.325809, lowerbound=1205506.325809, norm of subgrad 1098.566487	dualbound = 2910680.325809, lowerbound=1205506.325809, norm of subgrad 38.193628	 stepsize= 1.000000 
-dualbound = 2910825.122480, lowerbound=1205085.122480, norm of subgrad 1098.407539	dualbound = 2910825.122480, lowerbound=1205085.122480, norm of subgrad 39.481599	 stepsize= 1.000000 
-dualbound = 2910925.491366, lowerbound=1208590.491366, norm of subgrad 1100.019769	dualbound = 2910925.491366, lowerbound=1208590.491366, norm of subgrad 39.412801	 stepsize= 1.000000 
-dualbound = 2911038.733339, lowerbound=1207170.733339, norm of subgrad 1099.333313	dualbound = 2911038.733339, lowerbound=1207170.733339, norm of subgrad 38.421894	 stepsize= 1.000000 
-dualbound = 2911216.105098, lowerbound=1207833.105098, norm of subgrad 1099.623620	dualbound = 2911216.105098, lowerbound=1207833.105098, norm of subgrad 38.940618	 stepsize= 1.000000 
-dualbound = 2911373.513400, lowerbound=1203380.513400, norm of subgrad 1097.593055	dualbound = 2911373.513400, lowerbound=1203380.513400, norm of subgrad 38.566933	 stepsize= 1.000000 
-dualbound = 2911463.648428, lowerbound=1206118.648428, norm of subgrad 1098.839228	dualbound = 2911463.648428, lowerbound=1206118.648428, norm of subgrad 37.671409	 stepsize= 1.000000 
-dualbound = 2911620.147445, lowerbound=1209211.147445, norm of subgrad 1100.279577	dualbound = 2911620.147445, lowerbound=1209211.147445, norm of subgrad 39.503152	 stepsize= 1.000000 
-dualbound = 2911727.216051, lowerbound=1207195.216051, norm of subgrad 1099.309882	dualbound = 2911727.216051, lowerbound=1207195.216051, norm of subgrad 37.337228	 stepsize= 1.000000 
-dualbound = 2911908.042617, lowerbound=1206686.042617, norm of subgrad 1099.091917	dualbound = 2911908.042617, lowerbound=1206686.042617, norm of subgrad 38.701764	 stepsize= 1.000000 
-dualbound = 2912004.619976, lowerbound=1210853.619976, norm of subgrad 1101.046602	dualbound = 2912004.619976, lowerbound=1210853.619976, norm of subgrad 39.326548	 stepsize= 1.000000 
-dualbound = 2912118.927676, lowerbound=1205469.927676, norm of subgrad 1098.609998	dualbound = 2912118.927676, lowerbound=1205469.927676, norm of subgrad 39.853578	 stepsize= 1.000000 
-dualbound = 2912258.553501, lowerbound=1207645.553501, norm of subgrad 1099.558799	dualbound = 2912258.553501, lowerbound=1207645.553501, norm of subgrad 39.033650	 stepsize= 1.000000 
-dualbound = 2912425.732788, lowerbound=1204886.732788, norm of subgrad 1098.339990	dualbound = 2912425.732788, lowerbound=1204886.732788, norm of subgrad 40.387861	 stepsize= 1.000000 
-dualbound = 2912519.621874, lowerbound=1208768.621874, norm of subgrad 1100.086188	dualbound = 2912519.621874, lowerbound=1208768.621874, norm of subgrad 38.921576	 stepsize= 1.000000 
-dualbound = 2912675.405993, lowerbound=1210587.405993, norm of subgrad 1100.912533	dualbound = 2912675.405993, lowerbound=1210587.405993, norm of subgrad 39.708741	 stepsize= 1.000000 
-dualbound = 2912815.574544, lowerbound=1203238.574544, norm of subgrad 1097.550261	dualbound = 2912815.574544, lowerbound=1203238.574544, norm of subgrad 38.963682	 stepsize= 1.000000 
-dualbound = 2912937.564673, lowerbound=1205930.564673, norm of subgrad 1098.774119	dualbound = 2912937.564673, lowerbound=1205930.564673, norm of subgrad 38.678032	 stepsize= 1.000000 
-dualbound = 2913095.952356, lowerbound=1207504.952356, norm of subgrad 1099.455298	dualbound = 2913095.952356, lowerbound=1207504.952356, norm of subgrad 38.149544	 stepsize= 1.000000 
-dualbound = 2913222.586888, lowerbound=1207403.586888, norm of subgrad 1099.416476	dualbound = 2913222.586888, lowerbound=1207403.586888, norm of subgrad 37.942516	 stepsize= 1.000000 
-dualbound = 2913362.767293, lowerbound=1207932.767293, norm of subgrad 1099.677574	dualbound = 2913362.767293, lowerbound=1207932.767293, norm of subgrad 38.706335	 stepsize= 1.000000 
-dualbound = 2913485.843905, lowerbound=1208523.843905, norm of subgrad 1099.930381	dualbound = 2913485.843905, lowerbound=1208523.843905, norm of subgrad 38.027314	 stepsize= 1.000000 
-dualbound = 2913626.778348, lowerbound=1208423.778348, norm of subgrad 1099.898076	dualbound = 2913626.778348, lowerbound=1208423.778348, norm of subgrad 38.638510	 stepsize= 1.000000 
-dualbound = 2913740.072804, lowerbound=1207761.072804, norm of subgrad 1099.615420	dualbound = 2913740.072804, lowerbound=1207761.072804, norm of subgrad 38.811009	 stepsize= 1.000000 
-dualbound = 2913879.717575, lowerbound=1205590.717575, norm of subgrad 1098.610357	dualbound = 2913879.717575, lowerbound=1205590.717575, norm of subgrad 38.647701	 stepsize= 1.000000 
-dualbound = 2914046.601107, lowerbound=1207027.601107, norm of subgrad 1099.270486	dualbound = 2914046.601107, lowerbound=1207027.601107, norm of subgrad 39.177590	 stepsize= 1.000000 
-dualbound = 2914129.995953, lowerbound=1208511.995953, norm of subgrad 1099.992271	dualbound = 2914129.995953, lowerbound=1208511.995953, norm of subgrad 39.425814	 stepsize= 1.000000 
-dualbound = 2914260.658689, lowerbound=1207577.658689, norm of subgrad 1099.558393	dualbound = 2914260.658689, lowerbound=1207577.658689, norm of subgrad 39.770124	 stepsize= 1.000000 
-dualbound = 2914405.502958, lowerbound=1203670.502958, norm of subgrad 1097.769330	dualbound = 2914405.502958, lowerbound=1203670.502958, norm of subgrad 39.646491	 stepsize= 1.000000 
-dualbound = 2914539.120338, lowerbound=1212223.120338, norm of subgrad 1101.668789	dualbound = 2914539.120338, lowerbound=1212223.120338, norm of subgrad 39.807253	 stepsize= 1.000000 
-dualbound = 2914674.427758, lowerbound=1206545.427758, norm of subgrad 1099.065707	dualbound = 2914674.427758, lowerbound=1206545.427758, norm of subgrad 39.182999	 stepsize= 1.000000 
-dualbound = 2914794.747343, lowerbound=1209880.747343, norm of subgrad 1100.616531	dualbound = 2914794.747343, lowerbound=1209880.747343, norm of subgrad 39.953968	 stepsize= 1.000000 
-dualbound = 2914917.573167, lowerbound=1205460.573167, norm of subgrad 1098.570240	dualbound = 2914917.573167, lowerbound=1205460.573167, norm of subgrad 38.972116	 stepsize= 1.000000 
-dualbound = 2915082.309100, lowerbound=1207872.309100, norm of subgrad 1099.686459	dualbound = 2915082.309100, lowerbound=1207872.309100, norm of subgrad 40.034185	 stepsize= 1.000000 
-dualbound = 2915207.555342, lowerbound=1208327.555342, norm of subgrad 1099.867063	dualbound = 2915207.555342, lowerbound=1208327.555342, norm of subgrad 38.797503	 stepsize= 1.000000 
-dualbound = 2915347.411426, lowerbound=1206391.411426, norm of subgrad 1098.977439	dualbound = 2915347.411426, lowerbound=1206391.411426, norm of subgrad 38.727975	 stepsize= 1.000000 
-dualbound = 2915467.220880, lowerbound=1203866.220880, norm of subgrad 1097.891261	dualbound = 2915467.220880, lowerbound=1203866.220880, norm of subgrad 40.234431	 stepsize= 1.000000 
-dualbound = 2915591.347350, lowerbound=1207843.347350, norm of subgrad 1099.651466	dualbound = 2915591.347350, lowerbound=1207843.347350, norm of subgrad 38.911778	 stepsize= 1.000000 
-dualbound = 2915752.343486, lowerbound=1208670.343486, norm of subgrad 1100.021520	dualbound = 2915752.343486, lowerbound=1208670.343486, norm of subgrad 39.217294	 stepsize= 1.000000 
-dualbound = 2915876.858454, lowerbound=1208192.858454, norm of subgrad 1099.802645	dualbound = 2915876.858454, lowerbound=1208192.858454, norm of subgrad 38.697739	 stepsize= 1.000000 
-dualbound = 2916019.785629, lowerbound=1204151.785629, norm of subgrad 1097.975312	dualbound = 2916019.785629, lowerbound=1204151.785629, norm of subgrad 39.254645	 stepsize= 1.000000 
-dualbound = 2916150.650300, lowerbound=1211326.650300, norm of subgrad 1101.230062	dualbound = 2916150.650300, lowerbound=1211326.650300, norm of subgrad 38.882704	 stepsize= 1.000000 
-dualbound = 2916297.623452, lowerbound=1205147.623452, norm of subgrad 1098.406857	dualbound = 2916297.623452, lowerbound=1205147.623452, norm of subgrad 38.690737	 stepsize= 1.000000 
-dualbound = 2916416.682112, lowerbound=1212576.682112, norm of subgrad 1101.796116	dualbound = 2916416.682112, lowerbound=1212576.682112, norm of subgrad 38.691842	 stepsize= 1.000000 
-dualbound = 2916539.335445, lowerbound=1202363.335445, norm of subgrad 1097.156021	dualbound = 2916539.335445, lowerbound=1202363.335445, norm of subgrad 38.867124	 stepsize= 1.000000 
-dualbound = 2916679.713442, lowerbound=1206201.713442, norm of subgrad 1098.900229	dualbound = 2916679.713442, lowerbound=1206201.713442, norm of subgrad 38.992025	 stepsize= 1.000000 
-dualbound = 2916815.274872, lowerbound=1208643.274872, norm of subgrad 1100.016943	dualbound = 2916815.274872, lowerbound=1208643.274872, norm of subgrad 39.109608	 stepsize= 1.000000 
-dualbound = 2916946.119607, lowerbound=1209753.119607, norm of subgrad 1100.498123	dualbound = 2916946.119607, lowerbound=1209753.119607, norm of subgrad 38.390686	 stepsize= 1.000000 
-dualbound = 2917098.049849, lowerbound=1206806.049849, norm of subgrad 1099.134227	dualbound = 2917098.049849, lowerbound=1206806.049849, norm of subgrad 37.972757	 stepsize= 1.000000 
-dualbound = 2917217.640590, lowerbound=1211240.640590, norm of subgrad 1101.185107	dualbound = 2917217.640590, lowerbound=1211240.640590, norm of subgrad 38.569298	 stepsize= 1.000000 
-dualbound = 2917344.015964, lowerbound=1204241.015964, norm of subgrad 1097.989534	dualbound = 2917344.015964, lowerbound=1204241.015964, norm of subgrad 38.293281	 stepsize= 1.000000 
-dualbound = 2917464.886515, lowerbound=1206305.886515, norm of subgrad 1098.968101	dualbound = 2917464.886515, lowerbound=1206305.886515, norm of subgrad 39.317560	 stepsize= 1.000000 
-dualbound = 2917611.887755, lowerbound=1208161.887755, norm of subgrad 1099.791293	dualbound = 2917611.887755, lowerbound=1208161.887755, norm of subgrad 39.064066	 stepsize= 1.000000 
-dualbound = 2917719.915219, lowerbound=1212630.915219, norm of subgrad 1101.824811	dualbound = 2917719.915219, lowerbound=1212630.915219, norm of subgrad 38.665585	 stepsize= 1.000000 
-dualbound = 2917887.429077, lowerbound=1207638.429077, norm of subgrad 1099.540099	dualbound = 2917887.429077, lowerbound=1207638.429077, norm of subgrad 38.955280	 stepsize= 1.000000 
-dualbound = 2917995.792188, lowerbound=1206380.792188, norm of subgrad 1098.959868	dualbound = 2917995.792188, lowerbound=1206380.792188, norm of subgrad 37.952116	 stepsize= 1.000000 
-dualbound = 2918161.934260, lowerbound=1207151.934260, norm of subgrad 1099.314302	dualbound = 2918161.934260, lowerbound=1207151.934260, norm of subgrad 38.809046	 stepsize= 1.000000 
-dualbound = 2918271.352908, lowerbound=1209630.352908, norm of subgrad 1100.466425	dualbound = 2918271.352908, lowerbound=1209630.352908, norm of subgrad 38.799725	 stepsize= 1.000000 
-dualbound = 2918402.801229, lowerbound=1206846.801229, norm of subgrad 1099.195070	dualbound = 2918402.801229, lowerbound=1206846.801229, norm of subgrad 38.915913	 stepsize= 1.000000 
-dualbound = 2918531.238548, lowerbound=1205365.238548, norm of subgrad 1098.526849	dualbound = 2918531.238548, lowerbound=1205365.238548, norm of subgrad 39.044043	 stepsize= 1.000000 
-dualbound = 2918679.730955, lowerbound=1207294.730955, norm of subgrad 1099.401533	dualbound = 2918679.730955, lowerbound=1207294.730955, norm of subgrad 39.210871	 stepsize= 1.000000 
-dualbound = 2918787.521570, lowerbound=1205425.521570, norm of subgrad 1098.550646	dualbound = 2918787.521570, lowerbound=1205425.521570, norm of subgrad 38.675452	 stepsize= 1.000000 
-dualbound = 2918940.237079, lowerbound=1208999.237079, norm of subgrad 1100.169186	dualbound = 2918940.237079, lowerbound=1208999.237079, norm of subgrad 39.060408	 stepsize= 1.000000 
-dualbound = 2919072.570833, lowerbound=1206020.570832, norm of subgrad 1098.820536	dualbound = 2919072.570833, lowerbound=1206020.570832, norm of subgrad 38.965802	 stepsize= 1.000000 
-dualbound = 2919221.989694, lowerbound=1207468.989694, norm of subgrad 1099.463501	dualbound = 2919221.989694, lowerbound=1207468.989694, norm of subgrad 38.735241	 stepsize= 1.000000 
-dualbound = 2919339.499971, lowerbound=1213134.499971, norm of subgrad 1102.054218	dualbound = 2919339.499971, lowerbound=1213134.499971, norm of subgrad 38.813790	 stepsize= 1.000000 
-dualbound = 2919472.789510, lowerbound=1205830.789510, norm of subgrad 1098.713698	dualbound = 2919472.789510, lowerbound=1205830.789510, norm of subgrad 38.396478	 stepsize= 1.000000 
-dualbound = 2919604.365604, lowerbound=1209249.365604, norm of subgrad 1100.301943	dualbound = 2919604.365604, lowerbound=1209249.365604, norm of subgrad 39.326532	 stepsize= 1.000000 
-dualbound = 2919728.447205, lowerbound=1205734.447205, norm of subgrad 1098.693518	dualbound = 2919728.447205, lowerbound=1205734.447205, norm of subgrad 38.949732	 stepsize= 1.000000 
-dualbound = 2919870.292908, lowerbound=1210289.292908, norm of subgrad 1100.753511	dualbound = 2919870.292908, lowerbound=1210289.292908, norm of subgrad 38.869599	 stepsize= 1.000000 
-dualbound = 2920016.701569, lowerbound=1206525.701569, norm of subgrad 1099.052638	dualbound = 2920016.701569, lowerbound=1206525.701569, norm of subgrad 39.209803	 stepsize= 1.000000 
-dualbound = 2920127.045834, lowerbound=1213016.045834, norm of subgrad 1101.989585	dualbound = 2920127.045834, lowerbound=1213016.045834, norm of subgrad 38.410210	 stepsize= 1.000000 
-dualbound = 2920269.379446, lowerbound=1207776.379446, norm of subgrad 1099.625109	dualbound = 2920269.379446, lowerbound=1207776.379446, norm of subgrad 39.259822	 stepsize= 1.000000 
-dualbound = 2920391.961778, lowerbound=1205158.961778, norm of subgrad 1098.376967	dualbound = 2920391.961778, lowerbound=1205158.961778, norm of subgrad 37.357494	 stepsize= 1.000000 
-dualbound = 2920526.167547, lowerbound=1206889.167547, norm of subgrad 1099.226622	dualbound = 2920526.167547, lowerbound=1206889.167547, norm of subgrad 39.296384	 stepsize= 1.000000 
-dualbound = 2920644.242512, lowerbound=1209912.242512, norm of subgrad 1100.599038	dualbound = 2920644.242512, lowerbound=1209912.242512, norm of subgrad 39.039403	 stepsize= 1.000000 
-dualbound = 2920795.639864, lowerbound=1207465.639864, norm of subgrad 1099.488808	dualbound = 2920795.639864, lowerbound=1207465.639864, norm of subgrad 39.514521	 stepsize= 1.000000 
-dualbound = 2920912.784643, lowerbound=1207190.784643, norm of subgrad 1099.341068	dualbound = 2920912.784643, lowerbound=1207190.784643, norm of subgrad 38.433641	 stepsize= 1.000000 
-dualbound = 2921067.043509, lowerbound=1207687.043509, norm of subgrad 1099.579485	dualbound = 2921067.043509, lowerbound=1207687.043509, norm of subgrad 39.271604	 stepsize= 1.000000 
-dualbound = 2921206.439260, lowerbound=1210366.439260, norm of subgrad 1100.783557	dualbound = 2921206.439260, lowerbound=1210366.439260, norm of subgrad 38.696198	 stepsize= 1.000000 
-dualbound = 2921333.042963, lowerbound=1206289.042963, norm of subgrad 1098.950428	dualbound = 2921333.042963, lowerbound=1206289.042963, norm of subgrad 39.110148	 stepsize= 1.000000 
-dualbound = 2921472.701328, lowerbound=1207592.701328, norm of subgrad 1099.517486	dualbound = 2921472.701328, lowerbound=1207592.701328, norm of subgrad 38.544239	 stepsize= 1.000000 
-dualbound = 2921596.627932, lowerbound=1205724.627932, norm of subgrad 1098.697696	dualbound = 2921596.627932, lowerbound=1205724.627932, norm of subgrad 39.190900	 stepsize= 1.000000 
-dualbound = 2921714.414396, lowerbound=1209868.414396, norm of subgrad 1100.590939	dualbound = 2921714.414396, lowerbound=1209868.414396, norm of subgrad 39.367327	 stepsize= 1.000000 
-dualbound = 2921836.868952, lowerbound=1206186.868952, norm of subgrad 1098.918045	dualbound = 2921836.868952, lowerbound=1206186.868952, norm of subgrad 39.451927	 stepsize= 1.000000 
-dualbound = 2921999.492490, lowerbound=1213965.492490, norm of subgrad 1102.449769	dualbound = 2921999.492490, lowerbound=1213965.492490, norm of subgrad 39.907688	 stepsize= 1.000000 
-dualbound = 2922107.906556, lowerbound=1204933.906556, norm of subgrad 1098.339613	dualbound = 2922107.906556, lowerbound=1204933.906556, norm of subgrad 39.043746	 stepsize= 1.000000 
-dualbound = 2922238.589932, lowerbound=1207224.589932, norm of subgrad 1099.349621	dualbound = 2922238.589932, lowerbound=1207224.589932, norm of subgrad 38.414625	 stepsize= 1.000000 
-dualbound = 2922408.645692, lowerbound=1204125.645692, norm of subgrad 1097.947925	dualbound = 2922408.645692, lowerbound=1204125.645692, norm of subgrad 39.167024	 stepsize= 1.000000 
-dualbound = 2922509.387557, lowerbound=1211042.387557, norm of subgrad 1101.066477	dualbound = 2922509.387557, lowerbound=1211042.387557, norm of subgrad 37.493224	 stepsize= 1.000000 
-dualbound = 2922676.436837, lowerbound=1212055.436837, norm of subgrad 1101.558186	dualbound = 2922676.436837, lowerbound=1212055.436837, norm of subgrad 39.268935	 stepsize= 1.000000 
-dualbound = 2922776.073103, lowerbound=1210357.073103, norm of subgrad 1100.820636	dualbound = 2922776.073103, lowerbound=1210357.073103, norm of subgrad 39.352716	 stepsize= 1.000000 
-dualbound = 2922899.993621, lowerbound=1211350.993621, norm of subgrad 1101.282885	dualbound = 2922899.993621, lowerbound=1211350.993621, norm of subgrad 39.961488	 stepsize= 1.000000 
-dualbound = 2923044.648539, lowerbound=1206831.648539, norm of subgrad 1099.192271	dualbound = 2923044.648539, lowerbound=1206831.648539, norm of subgrad 39.200190	 stepsize= 1.000000 
-dualbound = 2923175.289644, lowerbound=1209226.289644, norm of subgrad 1100.294638	dualbound = 2923175.289644, lowerbound=1209226.289644, norm of subgrad 39.403567	 stepsize= 1.000000 
-dualbound = 2923304.436150, lowerbound=1206679.436150, norm of subgrad 1099.155783	dualbound = 2923304.436150, lowerbound=1206679.436150, norm of subgrad 39.914239	 stepsize= 1.000000 
-dualbound = 2923427.149095, lowerbound=1209497.149095, norm of subgrad 1100.416353	dualbound = 2923427.149095, lowerbound=1209497.149095, norm of subgrad 39.264653	 stepsize= 1.000000 
-dualbound = 2923568.273803, lowerbound=1210560.273803, norm of subgrad 1100.876593	dualbound = 2923568.273803, lowerbound=1210560.273803, norm of subgrad 38.860323	 stepsize= 1.000000 
-dualbound = 2923717.300002, lowerbound=1205840.300002, norm of subgrad 1098.747150	dualbound = 2923717.300002, lowerbound=1205840.300002, norm of subgrad 39.421139	 stepsize= 1.000000 
-dualbound = 2923843.191221, lowerbound=1209611.191221, norm of subgrad 1100.433638	dualbound = 2923843.191221, lowerbound=1209611.191221, norm of subgrad 38.326117	 stepsize= 1.000000 
-dualbound = 2923997.460510, lowerbound=1203659.460510, norm of subgrad 1097.714654	dualbound = 2923997.460510, lowerbound=1203659.460510, norm of subgrad 38.370161	 stepsize= 1.000000 
-dualbound = 2924111.185624, lowerbound=1207227.185624, norm of subgrad 1099.377181	dualbound = 2924111.185624, lowerbound=1207227.185624, norm of subgrad 38.945155	 stepsize= 1.000000 
-dualbound = 2924227.625869, lowerbound=1203797.625869, norm of subgrad 1097.805823	dualbound = 2924227.625869, lowerbound=1203797.625869, norm of subgrad 38.683850	 stepsize= 1.000000 
-dualbound = 2924395.689963, lowerbound=1210391.689963, norm of subgrad 1100.825004	dualbound = 2924395.689963, lowerbound=1210391.689963, norm of subgrad 39.900678	 stepsize= 1.000000 
-dualbound = 2924478.030545, lowerbound=1208750.030545, norm of subgrad 1100.069557	dualbound = 2924478.030545, lowerbound=1208750.030545, norm of subgrad 38.540117	 stepsize= 1.000000 
-dualbound = 2924650.755028, lowerbound=1207692.755028, norm of subgrad 1099.578444	dualbound = 2924650.755028, lowerbound=1207692.755028, norm of subgrad 39.404625	 stepsize= 1.000000 
-dualbound = 2924779.024119, lowerbound=1209539.024119, norm of subgrad 1100.428109	dualbound = 2924779.024119, lowerbound=1209539.024119, norm of subgrad 39.131434	 stepsize= 1.000000 
-dualbound = 2924905.259161, lowerbound=1205153.259161, norm of subgrad 1098.464956	dualbound = 2924905.259161, lowerbound=1205153.259161, norm of subgrad 39.977932	 stepsize= 1.000000 
-dualbound = 2925040.399806, lowerbound=1207773.399806, norm of subgrad 1099.625118	dualbound = 2925040.399806, lowerbound=1207773.399806, norm of subgrad 39.206385	 stepsize= 1.000000 
-dualbound = 2925165.202212, lowerbound=1208261.202212, norm of subgrad 1099.872812	dualbound = 2925165.202212, lowerbound=1208261.202212, norm of subgrad 39.797015	 stepsize= 1.000000 
-dualbound = 2925319.538828, lowerbound=1204590.538828, norm of subgrad 1098.157338	dualbound = 2925319.538828, lowerbound=1204590.538828, norm of subgrad 38.901627	 stepsize= 1.000000 
-dualbound = 2925447.766860, lowerbound=1206682.766860, norm of subgrad 1099.133644	dualbound = 2925447.766860, lowerbound=1206682.766860, norm of subgrad 39.245739	 stepsize= 1.000000 
-dualbound = 2925574.141513, lowerbound=1211303.141513, norm of subgrad 1101.234372	dualbound = 2925574.141513, lowerbound=1211303.141513, norm of subgrad 39.247607	 stepsize= 1.000000 
-dualbound = 2925700.953864, lowerbound=1210095.953864, norm of subgrad 1100.690671	dualbound = 2925700.953864, lowerbound=1210095.953864, norm of subgrad 39.380355	 stepsize= 1.000000 
-dualbound = 2925824.114906, lowerbound=1209160.114906, norm of subgrad 1100.249115	dualbound = 2925824.114906, lowerbound=1209160.114906, norm of subgrad 38.873655	 stepsize= 1.000000 
-dualbound = 2925986.735069, lowerbound=1207917.735069, norm of subgrad 1099.670739	dualbound = 2925986.735069, lowerbound=1207917.735069, norm of subgrad 38.995130	 stepsize= 1.000000 
-dualbound = 2926116.374175, lowerbound=1204692.374175, norm of subgrad 1098.207801	dualbound = 2926116.374175, lowerbound=1204692.374175, norm of subgrad 38.699342	 stepsize= 1.000000 
-dualbound = 2926231.946275, lowerbound=1208741.946275, norm of subgrad 1100.067701	dualbound = 2926231.946275, lowerbound=1208741.946275, norm of subgrad 39.020150	 stepsize= 1.000000 
-dualbound = 2926364.681323, lowerbound=1212230.681323, norm of subgrad 1101.624565	dualbound = 2926364.681323, lowerbound=1212230.681323, norm of subgrad 38.454324	 stepsize= 1.000000 
-dualbound = 2926501.553742, lowerbound=1207404.553742, norm of subgrad 1099.455572	dualbound = 2926501.553742, lowerbound=1207404.553742, norm of subgrad 39.177448	 stepsize= 1.000000 
-dualbound = 2926604.252000, lowerbound=1210114.252000, norm of subgrad 1100.686718	dualbound = 2926604.252000, lowerbound=1210114.252000, norm of subgrad 38.725938	 stepsize= 1.000000 
-dualbound = 2926786.123137, lowerbound=1209085.123137, norm of subgrad 1100.188222	dualbound = 2926786.123137, lowerbound=1209085.123137, norm of subgrad 38.869926	 stepsize= 1.000000 
-dualbound = 2926893.003919, lowerbound=1208301.003919, norm of subgrad 1099.867721	dualbound = 2926893.003919, lowerbound=1208301.003919, norm of subgrad 38.921469	 stepsize= 1.000000 
-dualbound = 2927020.852014, lowerbound=1208995.852014, norm of subgrad 1100.194915	dualbound = 2927020.852014, lowerbound=1208995.852014, norm of subgrad 39.507570	 stepsize= 1.000000 
-dualbound = 2927173.131289, lowerbound=1203930.131289, norm of subgrad 1097.860251	dualbound = 2927173.131289, lowerbound=1203930.131289, norm of subgrad 38.977933	 stepsize= 1.000000 
-dualbound = 2927284.225943, lowerbound=1209287.225943, norm of subgrad 1100.327781	dualbound = 2927284.225943, lowerbound=1209287.225943, norm of subgrad 39.307692	 stepsize= 1.000000 
-dualbound = 2927424.111471, lowerbound=1205983.111471, norm of subgrad 1098.815322	dualbound = 2927424.111471, lowerbound=1205983.111471, norm of subgrad 39.393978	 stepsize= 1.000000 
-dualbound = 2927565.295473, lowerbound=1207038.295473, norm of subgrad 1099.273986	dualbound = 2927565.295473, lowerbound=1207038.295473, norm of subgrad 38.809586	 stepsize= 1.000000 
-dualbound = 2927688.863620, lowerbound=1211129.863620, norm of subgrad 1101.155240	dualbound = 2927688.863620, lowerbound=1211129.863620, norm of subgrad 39.199083	 stepsize= 1.000000 
-dualbound = 2927839.270059, lowerbound=1209564.270059, norm of subgrad 1100.422314	dualbound = 2927839.270059, lowerbound=1209564.270059, norm of subgrad 38.928222	 stepsize= 1.000000 
-dualbound = 2927968.911591, lowerbound=1211837.911591, norm of subgrad 1101.460808	dualbound = 2927968.911591, lowerbound=1211837.911591, norm of subgrad 38.828360	 stepsize= 1.000000 
-dualbound = 2928101.634258, lowerbound=1202805.634258, norm of subgrad 1097.359847	dualbound = 2928101.634258, lowerbound=1202805.634258, norm of subgrad 39.060500	 stepsize= 1.000000 
-dualbound = 2928224.891161, lowerbound=1208379.891161, norm of subgrad 1099.874489	dualbound = 2928224.891161, lowerbound=1208379.891161, norm of subgrad 38.304790	 stepsize= 1.000000 
-dualbound = 2928362.937409, lowerbound=1211537.937409, norm of subgrad 1101.328261	dualbound = 2928362.937409, lowerbound=1211537.937409, norm of subgrad 39.039035	 stepsize= 1.000000 
-dualbound = 2928471.520466, lowerbound=1208755.520466, norm of subgrad 1100.028873	dualbound = 2928471.520466, lowerbound=1208755.520466, norm of subgrad 37.637522	 stepsize= 1.000000 
-dualbound = 2928637.008109, lowerbound=1210881.008109, norm of subgrad 1101.023618	dualbound = 2928637.008109, lowerbound=1210881.008109, norm of subgrad 39.210810	 stepsize= 1.000000 
-dualbound = 2928731.071196, lowerbound=1207957.071196, norm of subgrad 1099.744094	dualbound = 2928731.071196, lowerbound=1207957.071196, norm of subgrad 39.674464	 stepsize= 1.000000 
-dualbound = 2928859.595931, lowerbound=1211101.595931, norm of subgrad 1101.163292	dualbound = 2928859.595931, lowerbound=1211101.595931, norm of subgrad 39.843754	 stepsize= 1.000000 
-dualbound = 2928983.642317, lowerbound=1210524.642317, norm of subgrad 1100.889478	dualbound = 2928983.642317, lowerbound=1210524.642317, norm of subgrad 39.459427	 stepsize= 1.000000 
-dualbound = 2929145.490937, lowerbound=1209462.490937, norm of subgrad 1100.375159	dualbound = 2929145.490937, lowerbound=1209462.490937, norm of subgrad 39.049310	 stepsize= 1.000000 
-dualbound = 2929274.329620, lowerbound=1210121.329620, norm of subgrad 1100.683574	dualbound = 2929274.329620, lowerbound=1210121.329620, norm of subgrad 38.882370	 stepsize= 1.000000 
-dualbound = 2929426.878681, lowerbound=1203629.878681, norm of subgrad 1097.743995	dualbound = 2929426.878681, lowerbound=1203629.878681, norm of subgrad 39.554381	 stepsize= 1.000000 
-dualbound = 2929555.818967, lowerbound=1211031.818967, norm of subgrad 1101.087108	dualbound = 2929555.818967, lowerbound=1211031.818967, norm of subgrad 38.599745	 stepsize= 1.000000 
-dualbound = 2929675.756918, lowerbound=1208436.756918, norm of subgrad 1099.924432	dualbound = 2929675.756918, lowerbound=1208436.756918, norm of subgrad 38.947888	 stepsize= 1.000000 
-dualbound = 2929799.715245, lowerbound=1212556.715245, norm of subgrad 1101.780702	dualbound = 2929799.715245, lowerbound=1212556.715245, norm of subgrad 38.574063	 stepsize= 1.000000 
-dualbound = 2929943.860189, lowerbound=1206021.860189, norm of subgrad 1098.810657	dualbound = 2929943.860189, lowerbound=1206021.860189, norm of subgrad 38.821965	 stepsize= 1.000000 
-dualbound = 2930093.262335, lowerbound=1207975.262335, norm of subgrad 1099.652337	dualbound = 2930093.262335, lowerbound=1207975.262335, norm of subgrad 37.542005	 stepsize= 1.000000 
-dualbound = 2930196.320557, lowerbound=1211280.320557, norm of subgrad 1101.216745	dualbound = 2930196.320557, lowerbound=1211280.320557, norm of subgrad 38.743493	 stepsize= 1.000000 
-dualbound = 2930324.630394, lowerbound=1209817.630394, norm of subgrad 1100.568322	dualbound = 2930324.630394, lowerbound=1209817.630394, norm of subgrad 39.513413	 stepsize= 1.000000 
-dualbound = 2930424.686958, lowerbound=1208011.686958, norm of subgrad 1099.770743	dualbound = 2930424.686958, lowerbound=1208011.686958, norm of subgrad 39.800208	 stepsize= 1.000000 
-dualbound = 2930587.286088, lowerbound=1205588.286088, norm of subgrad 1098.620174	dualbound = 2930587.286088, lowerbound=1205588.286088, norm of subgrad 39.250467	 stepsize= 1.000000 
-dualbound = 2930724.716741, lowerbound=1212382.716741, norm of subgrad 1101.700375	dualbound = 2930724.716741, lowerbound=1212382.716741, norm of subgrad 38.709568	 stepsize= 1.000000 
-dualbound = 2930866.869295, lowerbound=1205610.869295, norm of subgrad 1098.589036	dualbound = 2930866.869295, lowerbound=1205610.869295, norm of subgrad 37.804134	 stepsize= 1.000000 
-dualbound = 2931001.917289, lowerbound=1211333.917289, norm of subgrad 1101.236540	dualbound = 2931001.917289, lowerbound=1211333.917289, norm of subgrad 39.026247	 stepsize= 1.000000 
-dualbound = 2931112.504327, lowerbound=1207998.504327, norm of subgrad 1099.754293	dualbound = 2931112.504327, lowerbound=1207998.504327, norm of subgrad 39.643247	 stepsize= 1.000000 
-dualbound = 2931218.387362, lowerbound=1208721.387362, norm of subgrad 1100.043357	dualbound = 2931218.387362, lowerbound=1208721.387362, norm of subgrad 38.469248	 stepsize= 1.000000 
-dualbound = 2931394.167580, lowerbound=1212094.167580, norm of subgrad 1101.572135	dualbound = 2931394.167580, lowerbound=1212094.167580, norm of subgrad 39.278241	 stepsize= 1.000000 
-dualbound = 2931520.078223, lowerbound=1208366.078223, norm of subgrad 1099.908214	dualbound = 2931520.078223, lowerbound=1208366.078223, norm of subgrad 39.470377	 stepsize= 1.000000 
-dualbound = 2931621.148418, lowerbound=1207795.148418, norm of subgrad 1099.636826	dualbound = 2931621.148418, lowerbound=1207795.148418, norm of subgrad 38.821002	 stepsize= 1.000000 
-dualbound = 2931770.336680, lowerbound=1209852.336680, norm of subgrad 1100.537749	dualbound = 2931770.336680, lowerbound=1209852.336680, norm of subgrad 38.473215	 stepsize= 1.000000 
-dualbound = 2931921.442882, lowerbound=1207725.442882, norm of subgrad 1099.569208	dualbound = 2931921.442882, lowerbound=1207725.442882, norm of subgrad 38.446147	 stepsize= 1.000000 
-dualbound = 2932045.949216, lowerbound=1211536.949216, norm of subgrad 1101.326450	dualbound = 2932045.949216, lowerbound=1211536.949216, norm of subgrad 38.826619	 stepsize= 1.000000 
-dualbound = 2932165.889759, lowerbound=1207884.889759, norm of subgrad 1099.652622	dualbound = 2932165.889759, lowerbound=1207884.889759, norm of subgrad 38.352843	 stepsize= 1.000000 
-dualbound = 2932312.419173, lowerbound=1207624.419173, norm of subgrad 1099.562831	dualbound = 2932312.419173, lowerbound=1207624.419173, norm of subgrad 39.503537	 stepsize= 1.000000 
-dualbound = 2932411.702253, lowerbound=1206653.702253, norm of subgrad 1099.129975	dualbound = 2932411.702253, lowerbound=1206653.702253, norm of subgrad 39.144388	 stepsize= 1.000000 
-dualbound = 2932543.457187, lowerbound=1204313.457187, norm of subgrad 1098.087636	dualbound = 2932543.457187, lowerbound=1204313.457187, norm of subgrad 40.184013	 stepsize= 1.000000 
-dualbound = 2932675.081645, lowerbound=1211489.081645, norm of subgrad 1101.304264	dualbound = 2932675.081645, lowerbound=1211489.081645, norm of subgrad 38.905327	 stepsize= 1.000000 
-dualbound = 2932859.874537, lowerbound=1210289.874537, norm of subgrad 1100.761043	dualbound = 2932859.874537, lowerbound=1210289.874537, norm of subgrad 39.620612	 stepsize= 1.000000 
-dualbound = 2932955.172052, lowerbound=1211462.172052, norm of subgrad 1101.327459	dualbound = 2932955.172052, lowerbound=1211462.172052, norm of subgrad 39.437260	 stepsize= 1.000000 
-dualbound = 2933064.648853, lowerbound=1209167.648853, norm of subgrad 1100.260264	dualbound = 2933064.648853, lowerbound=1209167.648853, norm of subgrad 38.916279	 stepsize= 1.000000 
-dualbound = 2933226.254354, lowerbound=1206680.254354, norm of subgrad 1099.127952	dualbound = 2933226.254354, lowerbound=1206680.254354, norm of subgrad 39.542452	 stepsize= 1.000000 
-dualbound = 2933343.658046, lowerbound=1213422.658046, norm of subgrad 1102.193567	dualbound = 2933343.658046, lowerbound=1213422.658046, norm of subgrad 39.056417	 stepsize= 1.000000 
-dualbound = 2933485.469163, lowerbound=1206114.469163, norm of subgrad 1098.839146	dualbound = 2933485.469163, lowerbound=1206114.469163, norm of subgrad 38.403270	 stepsize= 1.000000 
-dualbound = 2933650.965537, lowerbound=1211718.965537, norm of subgrad 1101.387291	dualbound = 2933650.965537, lowerbound=1211718.965537, norm of subgrad 38.736241	 stepsize= 1.000000 
-dualbound = 2933772.652601, lowerbound=1210281.652601, norm of subgrad 1100.747770	dualbound = 2933772.652601, lowerbound=1210281.652601, norm of subgrad 38.544611	 stepsize= 1.000000 
-dualbound = 2933891.138927, lowerbound=1211338.138927, norm of subgrad 1101.244813	dualbound = 2933891.138927, lowerbound=1211338.138927, norm of subgrad 38.993414	 stepsize= 1.000000 
-dualbound = 2933992.310332, lowerbound=1212469.310332, norm of subgrad 1101.767811	dualbound = 2933992.310332, lowerbound=1212469.310332, norm of subgrad 39.040638	 stepsize= 1.000000 
-dualbound = 2934122.354915, lowerbound=1207166.354915, norm of subgrad 1099.349969	dualbound = 2934122.354915, lowerbound=1207166.354915, norm of subgrad 39.166881	 stepsize= 1.000000 
-dualbound = 2934276.437980, lowerbound=1210177.437980, norm of subgrad 1100.699522	dualbound = 2934276.437980, lowerbound=1210177.437980, norm of subgrad 38.936911	 stepsize= 1.000000 
-dualbound = 2934395.115731, lowerbound=1204433.115731, norm of subgrad 1098.090668	dualbound = 2934395.115731, lowerbound=1204433.115731, norm of subgrad 38.583387	 stepsize= 1.000000 
-dualbound = 2934548.071411, lowerbound=1212988.071411, norm of subgrad 1101.993680	dualbound = 2934548.071411, lowerbound=1212988.071411, norm of subgrad 39.432926	 stepsize= 1.000000 
-dualbound = 2934663.325928, lowerbound=1206771.325928, norm of subgrad 1099.163012	dualbound = 2934663.325928, lowerbound=1206771.325928, norm of subgrad 38.771826	 stepsize= 1.000000 
-dualbound = 2934778.669139, lowerbound=1208451.669139, norm of subgrad 1099.943485	dualbound = 2934778.669139, lowerbound=1208451.669139, norm of subgrad 39.234465	 stepsize= 1.000000 
-dualbound = 2934927.298044, lowerbound=1215765.298044, norm of subgrad 1103.259851	dualbound = 2934927.298044, lowerbound=1215765.298044, norm of subgrad 39.568029	 stepsize= 1.000000 
-dualbound = 2935054.086688, lowerbound=1206115.086688, norm of subgrad 1098.877649	dualbound = 2935054.086688, lowerbound=1206115.086688, norm of subgrad 39.291076	 stepsize= 1.000000 
-dualbound = 2935157.697659, lowerbound=1209910.697659, norm of subgrad 1100.616508	dualbound = 2935157.697659, lowerbound=1209910.697659, norm of subgrad 39.365098	 stepsize= 1.000000 
-dualbound = 2935323.412393, lowerbound=1208284.412393, norm of subgrad 1099.856087	dualbound = 2935323.412393, lowerbound=1208284.412393, norm of subgrad 39.556475	 stepsize= 1.000000 
-dualbound = 2935439.949630, lowerbound=1211054.949630, norm of subgrad 1101.103060	dualbound = 2935439.949630, lowerbound=1211054.949630, norm of subgrad 38.594523	 stepsize= 1.000000 
-dualbound = 2935586.744125, lowerbound=1209013.744125, norm of subgrad 1100.170780	dualbound = 2935586.744125, lowerbound=1209013.744125, norm of subgrad 38.843204	 stepsize= 1.000000 
-dualbound = 2935716.476728, lowerbound=1210474.476728, norm of subgrad 1100.850797	dualbound = 2935716.476728, lowerbound=1210474.476728, norm of subgrad 39.086220	 stepsize= 1.000000 
-dualbound = 2935845.176705, lowerbound=1212913.176705, norm of subgrad 1101.959245	dualbound = 2935845.176705, lowerbound=1212913.176705, norm of subgrad 39.111379	 stepsize= 1.000000 
-dualbound = 2935964.934508, lowerbound=1207788.934508, norm of subgrad 1099.602626	dualbound = 2935964.934508, lowerbound=1207788.934508, norm of subgrad 38.167497	 stepsize= 1.000000 
-dualbound = 2936133.336587, lowerbound=1211454.336587, norm of subgrad 1101.318908	dualbound = 2936133.336587, lowerbound=1211454.336587, norm of subgrad 40.216938	 stepsize= 1.000000 
-dualbound = 2936174.165291, lowerbound=1211292.165291, norm of subgrad 1101.248004	dualbound = 2936174.165291, lowerbound=1211292.165291, norm of subgrad 38.675945	 stepsize= 1.000000 
-dualbound = 2936365.868813, lowerbound=1206995.868813, norm of subgrad 1099.266514	dualbound = 2936365.868813, lowerbound=1206995.868813, norm of subgrad 39.783207	 stepsize= 1.000000 
-dualbound = 2936484.495641, lowerbound=1210735.495641, norm of subgrad 1101.002042	dualbound = 2936484.495641, lowerbound=1210735.495641, norm of subgrad 39.857582	 stepsize= 1.000000 
-dualbound = 2936597.208907, lowerbound=1210252.208907, norm of subgrad 1100.770280	dualbound = 2936597.208907, lowerbound=1210252.208907, norm of subgrad 39.442531	 stepsize= 1.000000 
-dualbound = 2936763.378590, lowerbound=1210503.378590, norm of subgrad 1100.855294	dualbound = 2936763.378590, lowerbound=1210503.378590, norm of subgrad 39.308646	 stepsize= 1.000000 
-dualbound = 2936910.037946, lowerbound=1210882.037946, norm of subgrad 1101.036347	dualbound = 2936910.037946, lowerbound=1210882.037946, norm of subgrad 39.314874	 stepsize= 1.000000 
-dualbound = 2937020.509916, lowerbound=1207056.509916, norm of subgrad 1099.265896	dualbound = 2937020.509916, lowerbound=1207056.509916, norm of subgrad 37.940374	 stepsize= 1.000000 
-dualbound = 2937193.537953, lowerbound=1206178.537953, norm of subgrad 1098.885134	dualbound = 2937193.537953, lowerbound=1206178.537953, norm of subgrad 39.281396	 stepsize= 1.000000 
-dualbound = 2937256.949222, lowerbound=1205415.949222, norm of subgrad 1098.546744	dualbound = 2937256.949222, lowerbound=1205415.949222, norm of subgrad 38.110514	 stepsize= 1.000000 
-dualbound = 2937448.837792, lowerbound=1211345.837792, norm of subgrad 1101.197456	dualbound = 2937448.837792, lowerbound=1211345.837792, norm of subgrad 38.495306	 stepsize= 1.000000 
-dualbound = 2937566.283378, lowerbound=1207269.283378, norm of subgrad 1099.398601	dualbound = 2937566.283378, lowerbound=1207269.283378, norm of subgrad 39.056953	 stepsize= 1.000000 
-dualbound = 2937678.287062, lowerbound=1213693.287062, norm of subgrad 1102.312246	dualbound = 2937678.287062, lowerbound=1213693.287062, norm of subgrad 38.871631	 stepsize= 1.000000 
-dualbound = 2937818.276688, lowerbound=1208104.276688, norm of subgrad 1099.770556	dualbound = 2937818.276688, lowerbound=1208104.276688, norm of subgrad 39.127863	 stepsize= 1.000000 
-dualbound = 2937943.785578, lowerbound=1209660.785578, norm of subgrad 1100.473891	dualbound = 2937943.785578, lowerbound=1209660.785578, norm of subgrad 38.826652	 stepsize= 1.000000 
-dualbound = 2938101.080301, lowerbound=1211252.080301, norm of subgrad 1101.199383	dualbound = 2938101.080301, lowerbound=1211252.080301, norm of subgrad 39.310237	 stepsize= 1.000000 
-dualbound = 2938197.823241, lowerbound=1213342.823241, norm of subgrad 1102.165969	dualbound = 2938197.823241, lowerbound=1213342.823241, norm of subgrad 39.035150	 stepsize= 1.000000 
-dualbound = 2938334.672271, lowerbound=1203155.672271, norm of subgrad 1097.533449	dualbound = 2938334.672271, lowerbound=1203155.672271, norm of subgrad 39.507582	 stepsize= 1.000000 
-dualbound = 2938460.267106, lowerbound=1209467.267106, norm of subgrad 1100.389143	dualbound = 2938460.267106, lowerbound=1209467.267106, norm of subgrad 38.917796	 stepsize= 1.000000 
-dualbound = 2938593.315838, lowerbound=1212975.315838, norm of subgrad 1102.004680	dualbound = 2938593.315838, lowerbound=1212975.315838, norm of subgrad 39.649070	 stepsize= 1.000000 
-dualbound = 2938714.204916, lowerbound=1203681.204916, norm of subgrad 1097.786047	dualbound = 2938714.204916, lowerbound=1203681.204916, norm of subgrad 39.672271	 stepsize= 1.000000 
-dualbound = 2938823.699941, lowerbound=1211539.699941, norm of subgrad 1101.354938	dualbound = 2938823.699941, lowerbound=1211539.699941, norm of subgrad 39.401713	 stepsize= 1.000000 
-dualbound = 2938999.045535, lowerbound=1206886.045535, norm of subgrad 1099.201094	dualbound = 2938999.045535, lowerbound=1206886.045535, norm of subgrad 39.145186	 stepsize= 1.000000 
-dualbound = 2939128.055399, lowerbound=1214504.055399, norm of subgrad 1102.683570	dualbound = 2939128.055399, lowerbound=1214504.055399, norm of subgrad 39.191962	 stepsize= 1.000000 
-dualbound = 2939261.286408, lowerbound=1206942.286408, norm of subgrad 1099.225767	dualbound = 2939261.286408, lowerbound=1206942.286408, norm of subgrad 38.577597	 stepsize= 1.000000 
-dualbound = 2939416.907463, lowerbound=1212593.907463, norm of subgrad 1101.777159	dualbound = 2939416.907463, lowerbound=1212593.907463, norm of subgrad 38.400795	 stepsize= 1.000000 
-dualbound = 2939544.991494, lowerbound=1205083.991494, norm of subgrad 1098.411577	dualbound = 2939544.991494, lowerbound=1205083.991494, norm of subgrad 39.396498	 stepsize= 1.000000 
-dualbound = 2939640.462729, lowerbound=1214829.462729, norm of subgrad 1102.862849	dualbound = 2939640.462729, lowerbound=1214829.462729, norm of subgrad 39.654397	 stepsize= 1.000000 
-dualbound = 2939765.240556, lowerbound=1208557.240556, norm of subgrad 1099.988746	dualbound = 2939765.240556, lowerbound=1208557.240556, norm of subgrad 39.278211	 stepsize= 1.000000 
-dualbound = 2939902.052449, lowerbound=1215693.052449, norm of subgrad 1103.240251	dualbound = 2939902.052449, lowerbound=1215693.052449, norm of subgrad 39.784569	 stepsize= 1.000000 
-dualbound = 2940052.855767, lowerbound=1206123.855767, norm of subgrad 1098.874358	dualbound = 2940052.855767, lowerbound=1206123.855767, norm of subgrad 39.392935	 stepsize= 1.000000 
-dualbound = 2940192.621321, lowerbound=1211903.621321, norm of subgrad 1101.482011	dualbound = 2940192.621321, lowerbound=1211903.621321, norm of subgrad 38.713894	 stepsize= 1.000000 
-dualbound = 2940327.086754, lowerbound=1210824.086754, norm of subgrad 1100.994590	dualbound = 2940327.086754, lowerbound=1210824.086754, norm of subgrad 38.722932	 stepsize= 1.000000 
-dualbound = 2940449.678935, lowerbound=1208117.678935, norm of subgrad 1099.763010	dualbound = 2940449.678935, lowerbound=1208117.678935, norm of subgrad 38.517427	 stepsize= 1.000000 
-dualbound = 2940590.037018, lowerbound=1208043.037018, norm of subgrad 1099.737713	dualbound = 2940590.037018, lowerbound=1208043.037018, norm of subgrad 38.991769	 stepsize= 1.000000 
-dualbound = 2940708.523299, lowerbound=1213204.523299, norm of subgrad 1102.094154	dualbound = 2940708.523299, lowerbound=1213204.523299, norm of subgrad 39.057474	 stepsize= 1.000000 
-dualbound = 2940852.275594, lowerbound=1207979.275594, norm of subgrad 1099.693719	dualbound = 2940852.275594, lowerbound=1207979.275594, norm of subgrad 38.610262	 stepsize= 1.000000 
-dualbound = 2940961.935692, lowerbound=1213910.935692, norm of subgrad 1102.401894	dualbound = 2940961.935692, lowerbound=1213910.935692, norm of subgrad 38.583158	 stepsize= 1.000000 
-dualbound = 2941098.689537, lowerbound=1207798.689537, norm of subgrad 1099.604788	dualbound = 2941098.689537, lowerbound=1207798.689537, norm of subgrad 38.324324	 stepsize= 1.000000 
-dualbound = 2941254.022735, lowerbound=1210768.022735, norm of subgrad 1100.957775	dualbound = 2941254.022735, lowerbound=1210768.022735, norm of subgrad 38.669538	 stepsize= 1.000000 
-dualbound = 2941367.153532, lowerbound=1210412.153532, norm of subgrad 1100.817947	dualbound = 2941367.153532, lowerbound=1210412.153532, norm of subgrad 38.744429	 stepsize= 1.000000 
-dualbound = 2941481.116708, lowerbound=1214235.116708, norm of subgrad 1102.577488	dualbound = 2941481.116708, lowerbound=1214235.116708, norm of subgrad 39.445699	 stepsize= 1.000000 
-dualbound = 2941589.606710, lowerbound=1208157.606710, norm of subgrad 1099.784800	dualbound = 2941589.606710, lowerbound=1208157.606710, norm of subgrad 38.438132	 stepsize= 1.000000 
-dualbound = 2941752.418779, lowerbound=1206251.418779, norm of subgrad 1098.902370	dualbound = 2941752.418779, lowerbound=1206251.418779, norm of subgrad 38.701577	 stepsize= 1.000000 
-dualbound = 2941889.011600, lowerbound=1209000.011600, norm of subgrad 1100.156358	dualbound = 2941889.011600, lowerbound=1209000.011600, norm of subgrad 38.478472	 stepsize= 1.000000 
-dualbound = 2942035.535895, lowerbound=1213309.535895, norm of subgrad 1102.120472	dualbound = 2942035.535895, lowerbound=1213309.535895, norm of subgrad 38.813970	 stepsize= 1.000000 
-dualbound = 2942127.513860, lowerbound=1209227.513860, norm of subgrad 1100.313371	dualbound = 2942127.513860, lowerbound=1209227.513860, norm of subgrad 39.420527	 stepsize= 1.000000 
-dualbound = 2942233.018200, lowerbound=1212550.018200, norm of subgrad 1101.828035	dualbound = 2942233.018200, lowerbound=1212550.018200, norm of subgrad 39.755557	 stepsize= 1.000000 
-dualbound = 2942399.308578, lowerbound=1210844.308578, norm of subgrad 1101.020576	dualbound = 2942399.308578, lowerbound=1210844.308578, norm of subgrad 39.601646	 stepsize= 1.000000 
-dualbound = 2942531.532749, lowerbound=1213187.532749, norm of subgrad 1102.086899	dualbound = 2942531.532749, lowerbound=1213187.532749, norm of subgrad 39.245690	 stepsize= 1.000000 
-dualbound = 2942684.371540, lowerbound=1206589.371540, norm of subgrad 1099.067046	dualbound = 2942684.371540, lowerbound=1206589.371540, norm of subgrad 38.882371	 stepsize= 1.000000 
-dualbound = 2942793.766164, lowerbound=1207696.766164, norm of subgrad 1099.577540	dualbound = 2942793.766164, lowerbound=1207696.766164, norm of subgrad 38.514862	 stepsize= 1.000000 
-dualbound = 2942930.917057, lowerbound=1210856.917057, norm of subgrad 1101.042196	dualbound = 2942930.917057, lowerbound=1210856.917057, norm of subgrad 39.675570	 stepsize= 1.000000 
-dualbound = 2943049.845491, lowerbound=1209587.845491, norm of subgrad 1100.451655	dualbound = 2943049.845491, lowerbound=1209587.845491, norm of subgrad 39.050332	 stepsize= 1.000000 
-dualbound = 2943197.749117, lowerbound=1212092.749117, norm of subgrad 1101.572852	dualbound = 2943197.749117, lowerbound=1212092.749117, norm of subgrad 38.960283	 stepsize= 1.000000 
-dualbound = 2943325.769526, lowerbound=1205604.769526, norm of subgrad 1098.623580	dualbound = 2943325.769526, lowerbound=1205604.769526, norm of subgrad 38.691348	 stepsize= 1.000000 
-dualbound = 2943455.596627, lowerbound=1206740.596627, norm of subgrad 1099.144939	dualbound = 2943455.596627, lowerbound=1206740.596627, norm of subgrad 38.843624	 stepsize= 1.000000 
-dualbound = 2943590.804951, lowerbound=1215021.804951, norm of subgrad 1102.904259	dualbound = 2943590.804951, lowerbound=1215021.804951, norm of subgrad 38.874263	 stepsize= 1.000000 
-dualbound = 2943710.522914, lowerbound=1208211.522914, norm of subgrad 1099.824769	dualbound = 2943710.522914, lowerbound=1208211.522914, norm of subgrad 39.022019	 stepsize= 1.000000 
-dualbound = 2943825.096756, lowerbound=1210463.096756, norm of subgrad 1100.862433	dualbound = 2943825.096756, lowerbound=1210463.096756, norm of subgrad 39.364627	 stepsize= 1.000000 
-dualbound = 2943974.039566, lowerbound=1208158.039566, norm of subgrad 1099.799545	dualbound = 2943974.039566, lowerbound=1208158.039566, norm of subgrad 39.369313	 stepsize= 1.000000 
-dualbound = 2944109.486389, lowerbound=1212686.486389, norm of subgrad 1101.806465	dualbound = 2944109.486389, lowerbound=1212686.486389, norm of subgrad 37.768331	 stepsize= 1.000000 
-dualbound = 2944254.794555, lowerbound=1211576.794555, norm of subgrad 1101.330920	dualbound = 2944254.794555, lowerbound=1211576.794555, norm of subgrad 38.707986	 stepsize= 1.000000 
-dualbound = 2944345.635671, lowerbound=1212146.635671, norm of subgrad 1101.618190	dualbound = 2944345.635671, lowerbound=1212146.635671, norm of subgrad 38.818051	 stepsize= 1.000000 
-dualbound = 2944492.775093, lowerbound=1212022.775093, norm of subgrad 1101.541091	dualbound = 2944492.775093, lowerbound=1212022.775093, norm of subgrad 38.950474	 stepsize= 1.000000 
-dualbound = 2944612.572998, lowerbound=1208911.572998, norm of subgrad 1100.137070	dualbound = 2944612.572998, lowerbound=1208911.572998, norm of subgrad 38.856118	 stepsize= 1.000000 
-dualbound = 2944747.269670, lowerbound=1208653.269670, norm of subgrad 1100.002395	dualbound = 2944747.269670, lowerbound=1208653.269670, norm of subgrad 38.557706	 stepsize= 1.000000 
-dualbound = 2944885.103764, lowerbound=1208794.103764, norm of subgrad 1100.064591	dualbound = 2944885.103764, lowerbound=1208794.103764, norm of subgrad 38.546519	 stepsize= 1.000000 
-dualbound = 2945024.340783, lowerbound=1207900.340783, norm of subgrad 1099.682382	dualbound = 2945024.340783, lowerbound=1207900.340783, norm of subgrad 39.245854	 stepsize= 1.000000 
-dualbound = 2945125.476629, lowerbound=1216686.476629, norm of subgrad 1103.675893	dualbound = 2945125.476629, lowerbound=1216686.476629, norm of subgrad 38.924746	 stepsize= 1.000000 
-dualbound = 2945261.963730, lowerbound=1209391.963730, norm of subgrad 1100.360379	dualbound = 2945261.963730, lowerbound=1209391.963730, norm of subgrad 39.210803	 stepsize= 1.000000 
-dualbound = 2945392.810899, lowerbound=1211483.810899, norm of subgrad 1101.310497	dualbound = 2945392.810899, lowerbound=1211483.810899, norm of subgrad 39.138819	 stepsize= 1.000000 
-dualbound = 2945535.650145, lowerbound=1216996.650145, norm of subgrad 1103.764309	dualbound = 2945535.650145, lowerbound=1216996.650145, norm of subgrad 37.971558	 stepsize= 1.000000 
-dualbound = 2945680.086114, lowerbound=1209827.086114, norm of subgrad 1100.557171	dualbound = 2945680.086114, lowerbound=1209827.086114, norm of subgrad 39.286588	 stepsize= 1.000000 
-dualbound = 2945767.108652, lowerbound=1208660.108652, norm of subgrad 1100.034140	dualbound = 2945767.108652, lowerbound=1208660.108652, norm of subgrad 38.755936	 stepsize= 1.000000 
-dualbound = 2945921.091145, lowerbound=1207677.091145, norm of subgrad 1099.569048	dualbound = 2945921.091145, lowerbound=1207677.091145, norm of subgrad 39.102206	 stepsize= 1.000000 
-dualbound = 2946060.404143, lowerbound=1208404.404143, norm of subgrad 1099.928363	dualbound = 2946060.404143, lowerbound=1208404.404143, norm of subgrad 39.715400	 stepsize= 1.000000 
-dualbound = 2946163.900013, lowerbound=1210241.900013, norm of subgrad 1100.755150	dualbound = 2946163.900013, lowerbound=1210241.900013, norm of subgrad 39.031985	 stepsize= 1.000000 
-dualbound = 2946301.108830, lowerbound=1213975.108830, norm of subgrad 1102.448688	dualbound = 2946301.108830, lowerbound=1213975.108830, norm of subgrad 39.436136	 stepsize= 1.000000 
-dualbound = 2946424.616129, lowerbound=1208399.616129, norm of subgrad 1099.918913	dualbound = 2946424.616129, lowerbound=1208399.616129, norm of subgrad 39.312941	 stepsize= 1.000000 
-dualbound = 2946566.861299, lowerbound=1211339.861299, norm of subgrad 1101.201099	dualbound = 2946566.861299, lowerbound=1211339.861299, norm of subgrad 38.029530	 stepsize= 1.000000 
-dualbound = 2946724.180214, lowerbound=1211431.180214, norm of subgrad 1101.281608	dualbound = 2946724.180214, lowerbound=1211431.180214, norm of subgrad 39.335975	 stepsize= 1.000000 
-dualbound = 2946804.918218, lowerbound=1210661.918218, norm of subgrad 1100.916399	dualbound = 2946804.918218, lowerbound=1210661.918218, norm of subgrad 37.891134	 stepsize= 1.000000 
-dualbound = 2946970.026516, lowerbound=1207784.026516, norm of subgrad 1099.587662	dualbound = 2946970.026516, lowerbound=1207784.026516, norm of subgrad 38.394118	 stepsize= 1.000000 
-dualbound = 2947078.156093, lowerbound=1211870.156093, norm of subgrad 1101.477715	dualbound = 2947078.156093, lowerbound=1211870.156093, norm of subgrad 38.615147	 stepsize= 1.000000 
-dualbound = 2947207.728241, lowerbound=1209066.728241, norm of subgrad 1100.206675	dualbound = 2947207.728241, lowerbound=1209066.728241, norm of subgrad 38.956028	 stepsize= 1.000000 
-dualbound = 2947337.546022, lowerbound=1214118.546022, norm of subgrad 1102.493785	dualbound = 2947337.546022, lowerbound=1214118.546022, norm of subgrad 38.779089	 stepsize= 1.000000 
-dualbound = 2947472.927627, lowerbound=1208883.927627, norm of subgrad 1100.137231	dualbound = 2947472.927627, lowerbound=1208883.927627, norm of subgrad 39.412962	 stepsize= 1.000000 
-dualbound = 2947596.598521, lowerbound=1212219.598521, norm of subgrad 1101.636328	dualbound = 2947596.598521, lowerbound=1212219.598521, norm of subgrad 38.815859	 stepsize= 1.000000 
-dualbound = 2947725.662440, lowerbound=1213455.662440, norm of subgrad 1102.212621	dualbound = 2947725.662440, lowerbound=1213455.662440, norm of subgrad 39.320019	 stepsize= 1.000000 
-dualbound = 2947866.124950, lowerbound=1211108.124950, norm of subgrad 1101.145370	dualbound = 2947866.124950, lowerbound=1211108.124950, norm of subgrad 39.413989	 stepsize= 1.000000 
-dualbound = 2947971.039181, lowerbound=1212056.039181, norm of subgrad 1101.578885	dualbound = 2947971.039181, lowerbound=1212056.039181, norm of subgrad 39.050150	 stepsize= 1.000000 
-dualbound = 2948131.081719, lowerbound=1210639.081719, norm of subgrad 1100.912840	dualbound = 2948131.081719, lowerbound=1210639.081719, norm of subgrad 39.115758	 stepsize= 1.000000 
-dualbound = 2948273.111946, lowerbound=1215114.111946, norm of subgrad 1102.935226	dualbound = 2948273.111946, lowerbound=1215114.111946, norm of subgrad 38.652687	 stepsize= 1.000000 
-dualbound = 2948402.988961, lowerbound=1204174.988961, norm of subgrad 1097.942161	dualbound = 2948402.988961, lowerbound=1204174.988961, norm of subgrad 37.840151	 stepsize= 1.000000 
-dualbound = 2948542.036169, lowerbound=1209786.036169, norm of subgrad 1100.502629	dualbound = 2948542.036169, lowerbound=1209786.036169, norm of subgrad 38.197476	 stepsize= 1.000000 
-dualbound = 2948659.307094, lowerbound=1213227.307094, norm of subgrad 1102.110388	dualbound = 2948659.307094, lowerbound=1213227.307094, norm of subgrad 39.208047	 stepsize= 1.000000 
-dualbound = 2948778.829349, lowerbound=1209719.829349, norm of subgrad 1100.517074	dualbound = 2948778.829349, lowerbound=1209719.829349, norm of subgrad 39.211252	 stepsize= 1.000000 
-dualbound = 2948909.823020, lowerbound=1205830.823020, norm of subgrad 1098.733736	dualbound = 2948909.823020, lowerbound=1205830.823020, norm of subgrad 38.935763	 stepsize= 1.000000 
-dualbound = 2949065.567956, lowerbound=1214633.567956, norm of subgrad 1102.722344	dualbound = 2949065.567956, lowerbound=1214633.567956, norm of subgrad 38.971078	 stepsize= 1.000000 
-dualbound = 2949173.671748, lowerbound=1210310.671748, norm of subgrad 1100.806828	dualbound = 2949173.671748, lowerbound=1210310.671748, norm of subgrad 39.662372	 stepsize= 1.000000 
-dualbound = 2949279.007909, lowerbound=1215575.007909, norm of subgrad 1103.168168	dualbound = 2949279.007909, lowerbound=1215575.007909, norm of subgrad 38.863044	 stepsize= 1.000000 
-dualbound = 2949438.005633, lowerbound=1206722.005633, norm of subgrad 1099.118286	dualbound = 2949438.005633, lowerbound=1206722.005633, norm of subgrad 38.703976	 stepsize= 1.000000 
-dualbound = 2949557.516593, lowerbound=1217970.516593, norm of subgrad 1104.255186	dualbound = 2949557.516593, lowerbound=1217970.516593, norm of subgrad 39.096176	 stepsize= 1.000000 
-dualbound = 2949675.952562, lowerbound=1205884.952562, norm of subgrad 1098.783397	dualbound = 2949675.952562, lowerbound=1205884.952562, norm of subgrad 39.477031	 stepsize= 1.000000 
-dualbound = 2949790.688900, lowerbound=1213126.688900, norm of subgrad 1102.039332	dualbound = 2949790.688900, lowerbound=1213126.688900, norm of subgrad 38.454341	 stepsize= 1.000000 
-dualbound = 2949969.136168, lowerbound=1209994.136168, norm of subgrad 1100.614890	dualbound = 2949969.136168, lowerbound=1209994.136168, norm of subgrad 39.210295	 stepsize= 1.000000 
-dualbound = 2950075.967860, lowerbound=1210743.967860, norm of subgrad 1100.955480	dualbound = 2950075.967860, lowerbound=1210743.967860, norm of subgrad 38.286181	 stepsize= 1.000000 
-dualbound = 2950212.882337, lowerbound=1209006.882337, norm of subgrad 1100.196747	dualbound = 2950212.882337, lowerbound=1209006.882337, norm of subgrad 39.533713	 stepsize= 1.000000 
-dualbound = 2950325.344434, lowerbound=1210541.344434, norm of subgrad 1100.876625	dualbound = 2950325.344434, lowerbound=1210541.344434, norm of subgrad 38.735799	 stepsize= 1.000000 
-dualbound = 2950485.330941, lowerbound=1209311.330941, norm of subgrad 1100.313742	dualbound = 2950485.330941, lowerbound=1209311.330941, norm of subgrad 39.229919	 stepsize= 1.000000 
-dualbound = 2950603.041446, lowerbound=1211993.041446, norm of subgrad 1101.502629	dualbound = 2950603.041446, lowerbound=1211993.041446, norm of subgrad 37.851163	 stepsize= 1.000000 
-dualbound = 2950767.706482, lowerbound=1211421.706482, norm of subgrad 1101.227818	dualbound = 2950767.706482, lowerbound=1211421.706482, norm of subgrad 38.021902	 stepsize= 1.000000 
-dualbound = 2950879.774915, lowerbound=1208485.774915, norm of subgrad 1099.921713	dualbound = 2950879.774915, lowerbound=1208485.774915, norm of subgrad 38.132249	 stepsize= 1.000000 
-dualbound = 2951003.736004, lowerbound=1212157.736004, norm of subgrad 1101.599626	dualbound = 2951003.736004, lowerbound=1212157.736004, norm of subgrad 38.574099	 stepsize= 1.000000 
-dualbound = 2951135.836740, lowerbound=1213366.836740, norm of subgrad 1102.164161	dualbound = 2951135.836740, lowerbound=1213366.836740, norm of subgrad 39.129282	 stepsize= 1.000000 
-dualbound = 2951230.576502, lowerbound=1209314.576502, norm of subgrad 1100.344753	dualbound = 2951230.576502, lowerbound=1209314.576502, norm of subgrad 39.226774	 stepsize= 1.000000 
-dualbound = 2951387.594180, lowerbound=1212718.594180, norm of subgrad 1101.833742	dualbound = 2951387.594180, lowerbound=1212718.594180, norm of subgrad 38.418976	 stepsize= 1.000000 
-dualbound = 2951525.696138, lowerbound=1210270.696138, norm of subgrad 1100.715084	dualbound = 2951525.696138, lowerbound=1210270.696138, norm of subgrad 37.961849	 stepsize= 1.000000 
-dualbound = 2951658.010520, lowerbound=1210451.010520, norm of subgrad 1100.825604	dualbound = 2951658.010520, lowerbound=1210451.010520, norm of subgrad 38.708066	 stepsize= 1.000000 
-dualbound = 2951776.445566, lowerbound=1208684.445566, norm of subgrad 1100.037020	dualbound = 2951776.445566, lowerbound=1208684.445566, norm of subgrad 38.928589	 stepsize= 1.000000 
-dualbound = 2951874.453324, lowerbound=1216585.453324, norm of subgrad 1103.634203	dualbound = 2951874.453324, lowerbound=1216585.453324, norm of subgrad 39.000099	 stepsize= 1.000000 
-dualbound = 2952019.984096, lowerbound=1207178.984096, norm of subgrad 1099.344343	dualbound = 2952019.984096, lowerbound=1207178.984096, norm of subgrad 39.045240	 stepsize= 1.000000 
-dualbound = 2952172.875371, lowerbound=1211678.875371, norm of subgrad 1101.399962	dualbound = 2952172.875371, lowerbound=1211678.875371, norm of subgrad 39.444788	 stepsize= 1.000000 
-dualbound = 2952269.965801, lowerbound=1210954.965801, norm of subgrad 1101.089899	dualbound = 2952269.965801, lowerbound=1210954.965801, norm of subgrad 39.256725	 stepsize= 1.000000 
-dualbound = 2952422.699835, lowerbound=1210351.699835, norm of subgrad 1100.823192	dualbound = 2952422.699835, lowerbound=1210351.699835, norm of subgrad 40.158860	 stepsize= 1.000000 
-dualbound = 2952514.058595, lowerbound=1210370.058595, norm of subgrad 1100.822901	dualbound = 2952514.058595, lowerbound=1210370.058595, norm of subgrad 39.145354	 stepsize= 1.000000 
-dualbound = 2952688.085197, lowerbound=1214105.085197, norm of subgrad 1102.505821	dualbound = 2952688.085197, lowerbound=1214105.085197, norm of subgrad 39.850051	 stepsize= 1.000000 
-dualbound = 2952793.596824, lowerbound=1212760.596824, norm of subgrad 1101.888650	dualbound = 2952793.596824, lowerbound=1212760.596824, norm of subgrad 38.775142	 stepsize= 1.000000 
-dualbound = 2952943.011481, lowerbound=1204516.011481, norm of subgrad 1098.150723	dualbound = 2952943.011481, lowerbound=1204516.011481, norm of subgrad 39.603215	 stepsize= 1.000000 
-dualbound = 2953061.692945, lowerbound=1210367.692945, norm of subgrad 1100.774588	dualbound = 2953061.692945, lowerbound=1210367.692945, norm of subgrad 38.153394	 stepsize= 1.000000 
-dualbound = 2953222.999841, lowerbound=1209404.999841, norm of subgrad 1100.355397	dualbound = 2953222.999841, lowerbound=1209404.999841, norm of subgrad 39.221256	 stepsize= 1.000000 
-dualbound = 2953313.563618, lowerbound=1214255.563618, norm of subgrad 1102.607167	dualbound = 2953313.563618, lowerbound=1214255.563618, norm of subgrad 39.718557	 stepsize= 1.000000 
-dualbound = 2953474.782723, lowerbound=1212509.782723, norm of subgrad 1101.765303	dualbound = 2953474.782723, lowerbound=1212509.782723, norm of subgrad 39.220136	 stepsize= 1.000000 
-dualbound = 2953579.451115, lowerbound=1208840.451115, norm of subgrad 1100.100655	dualbound = 2953579.451115, lowerbound=1208840.451115, norm of subgrad 38.544369	 stepsize= 1.000000 
-dualbound = 2953721.002615, lowerbound=1210872.002615, norm of subgrad 1101.039056	dualbound = 2953721.002615, lowerbound=1210872.002615, norm of subgrad 39.453156	 stepsize= 1.000000 
-dualbound = 2953834.660659, lowerbound=1211256.660659, norm of subgrad 1101.176489	dualbound = 2953834.660659, lowerbound=1211256.660659, norm of subgrad 38.034958	 stepsize= 1.000000 
-dualbound = 2954007.667988, lowerbound=1212202.667988, norm of subgrad 1101.598233	dualbound = 2954007.667988, lowerbound=1212202.667988, norm of subgrad 38.587658	 stepsize= 1.000000 
-dualbound = 2954126.023876, lowerbound=1209494.023876, norm of subgrad 1100.378582	dualbound = 2954126.023876, lowerbound=1209494.023876, norm of subgrad 38.175331	 stepsize= 1.000000 
-dualbound = 2954238.910960, lowerbound=1211797.910960, norm of subgrad 1101.443104	dualbound = 2954238.910960, lowerbound=1211797.910960, norm of subgrad 38.624954	 stepsize= 1.000000 
-dualbound = 2954364.522301, lowerbound=1211407.522301, norm of subgrad 1101.282671	dualbound = 2954364.522301, lowerbound=1211407.522301, norm of subgrad 39.263359	 stepsize= 1.000000 
-dualbound = 2954495.221369, lowerbound=1212017.221369, norm of subgrad 1101.526768	dualbound = 2954495.221369, lowerbound=1212017.221369, norm of subgrad 38.401811	 stepsize= 1.000000 
-dualbound = 2954638.670158, lowerbound=1211748.670158, norm of subgrad 1101.453889	dualbound = 2954638.670158, lowerbound=1211748.670158, norm of subgrad 39.943069	 stepsize= 1.000000 
-dualbound = 2954721.677640, lowerbound=1209077.677640, norm of subgrad 1100.240736	dualbound = 2954721.677640, lowerbound=1209077.677640, norm of subgrad 39.179172	 stepsize= 1.000000 
-dualbound = 2954898.821450, lowerbound=1212455.821450, norm of subgrad 1101.734460	dualbound = 2954898.821450, lowerbound=1212455.821450, norm of subgrad 39.244666	 stepsize= 1.000000 
-dualbound = 2955019.653854, lowerbound=1214182.653854, norm of subgrad 1102.466169	dualbound = 2955019.653854, lowerbound=1214182.653854, norm of subgrad 37.011247	 stepsize= 1.000000 
-dualbound = 2955171.756299, lowerbound=1212915.756299, norm of subgrad 1101.948164	dualbound = 2955171.756299, lowerbound=1212915.756299, norm of subgrad 39.065361	 stepsize= 1.000000 
-dualbound = 2955255.000647, lowerbound=1208361.000647, norm of subgrad 1099.888631	dualbound = 2955255.000647, lowerbound=1208361.000647, norm of subgrad 38.434937	 stepsize= 1.000000 
-dualbound = 2955398.600934, lowerbound=1213613.600934, norm of subgrad 1102.299234	dualbound = 2955398.600934, lowerbound=1213613.600934, norm of subgrad 39.919923	 stepsize= 1.000000 
-dualbound = 2955519.985069, lowerbound=1215180.985069, norm of subgrad 1102.949221	dualbound = 2955519.985069, lowerbound=1215180.985069, norm of subgrad 37.912849	 stepsize= 1.000000 
-dualbound = 2955678.114129, lowerbound=1203572.114129, norm of subgrad 1097.681700	dualbound = 2955678.114129, lowerbound=1203572.114129, norm of subgrad 38.615140	 stepsize= 1.000000 
-dualbound = 2955800.173834, lowerbound=1211277.173834, norm of subgrad 1101.220311	dualbound = 2955800.173834, lowerbound=1211277.173834, norm of subgrad 39.128758	 stepsize= 1.000000 
-dualbound = 2955901.108789, lowerbound=1217064.108789, norm of subgrad 1103.826123	dualbound = 2955901.108789, lowerbound=1217064.108789, norm of subgrad 38.326687	 stepsize= 1.000000 
-dualbound = 2956052.425520, lowerbound=1207817.425520, norm of subgrad 1099.631495	dualbound = 2956052.425520, lowerbound=1207817.425520, norm of subgrad 39.029690	 stepsize= 1.000000 
-dualbound = 2956176.810616, lowerbound=1216937.810616, norm of subgrad 1103.777519	dualbound = 2956176.810616, lowerbound=1216937.810616, norm of subgrad 38.876537	 stepsize= 1.000000 
-dualbound = 2956268.510037, lowerbound=1210351.510037, norm of subgrad 1100.797670	dualbound = 2956268.510037, lowerbound=1210351.510037, norm of subgrad 38.674273	 stepsize= 1.000000 
-dualbound = 2956430.809582, lowerbound=1212520.809582, norm of subgrad 1101.787552	dualbound = 2956430.809582, lowerbound=1212520.809582, norm of subgrad 39.715231	 stepsize= 1.000000 
-dualbound = 2956539.137168, lowerbound=1212079.137168, norm of subgrad 1101.570305	dualbound = 2956539.137168, lowerbound=1212079.137168, norm of subgrad 38.552919	 stepsize= 1.000000 
-dualbound = 2956683.685187, lowerbound=1212650.685187, norm of subgrad 1101.858287	dualbound = 2956683.685187, lowerbound=1212650.685187, norm of subgrad 39.818940	 stepsize= 1.000000 
-dualbound = 2956803.437712, lowerbound=1207989.437712, norm of subgrad 1099.701977	dualbound = 2956803.437712, lowerbound=1207989.437712, norm of subgrad 38.402507	 stepsize= 1.000000 
-dualbound = 2956942.867410, lowerbound=1213119.867410, norm of subgrad 1102.083875	dualbound = 2956942.867410, lowerbound=1213119.867410, norm of subgrad 40.105233	 stepsize= 1.000000 
-dualbound = 2957051.103475, lowerbound=1206807.103475, norm of subgrad 1099.182016	dualbound = 2957051.103475, lowerbound=1206807.103475, norm of subgrad 38.758690	 stepsize= 1.000000 
-dualbound = 2957216.064540, lowerbound=1215627.064540, norm of subgrad 1103.166834	dualbound = 2957216.064540, lowerbound=1215627.064540, norm of subgrad 38.922501	 stepsize= 1.000000 
-dualbound = 2957347.236284, lowerbound=1212135.236284, norm of subgrad 1101.573527	dualbound = 2957347.236284, lowerbound=1212135.236284, norm of subgrad 38.212194	 stepsize= 1.000000 
-dualbound = 2957477.204920, lowerbound=1212313.204920, norm of subgrad 1101.701958	dualbound = 2957477.204920, lowerbound=1212313.204920, norm of subgrad 39.547043	 stepsize= 1.000000 
-dualbound = 2957578.309810, lowerbound=1205131.309810, norm of subgrad 1098.405804	dualbound = 2957578.309810, lowerbound=1205131.309810, norm of subgrad 38.276689	 stepsize= 1.000000 
-dualbound = 2957736.609389, lowerbound=1212938.609389, norm of subgrad 1101.927679	dualbound = 2957736.609389, lowerbound=1212938.609389, norm of subgrad 38.266168	 stepsize= 1.000000 
-dualbound = 2957882.097716, lowerbound=1209806.097716, norm of subgrad 1100.520376	dualbound = 2957882.097716, lowerbound=1209806.097716, norm of subgrad 38.529058	 stepsize= 1.000000 
-dualbound = 2957976.083520, lowerbound=1216655.083520, norm of subgrad 1103.639472	dualbound = 2957976.083520, lowerbound=1216655.083520, norm of subgrad 38.196673	 stepsize= 1.000000 
-dualbound = 2958114.897251, lowerbound=1210652.897251, norm of subgrad 1100.923656	dualbound = 2958114.897251, lowerbound=1210652.897251, norm of subgrad 38.971961	 stepsize= 1.000000 
-dualbound = 2958245.579720, lowerbound=1212928.579720, norm of subgrad 1101.939463	dualbound = 2958245.579720, lowerbound=1212928.579720, norm of subgrad 38.375545	 stepsize= 1.000000 
-dualbound = 2958357.880631, lowerbound=1210220.880631, norm of subgrad 1100.752416	dualbound = 2958357.880631, lowerbound=1210220.880631, norm of subgrad 39.335746	 stepsize= 1.000000 
-dualbound = 2958477.022730, lowerbound=1214305.022730, norm of subgrad 1102.585608	dualbound = 2958477.022730, lowerbound=1214305.022730, norm of subgrad 38.847678	 stepsize= 1.000000 
-dualbound = 2958638.230779, lowerbound=1207137.230779, norm of subgrad 1099.312617	dualbound = 2958638.230779, lowerbound=1207137.230779, norm of subgrad 38.887119	 stepsize= 1.000000 
-dualbound = 2958763.855385, lowerbound=1211993.855385, norm of subgrad 1101.555652	dualbound = 2958763.855385, lowerbound=1211993.855385, norm of subgrad 39.454082	 stepsize= 1.000000 
-dualbound = 2958878.097077, lowerbound=1210922.097077, norm of subgrad 1101.049089	dualbound = 2958878.097077, lowerbound=1210922.097077, norm of subgrad 38.745860	 stepsize= 1.000000 
-dualbound = 2958994.788973, lowerbound=1216259.788973, norm of subgrad 1103.462183	dualbound = 2958994.788973, lowerbound=1216259.788973, norm of subgrad 38.544674	 stepsize= 1.000000 
-dualbound = 2959136.562964, lowerbound=1211658.562964, norm of subgrad 1101.396188	dualbound = 2959136.562964, lowerbound=1211658.562964, norm of subgrad 39.455975	 stepsize= 1.000000 
-dualbound = 2959242.101778, lowerbound=1211125.101778, norm of subgrad 1101.140818	dualbound = 2959242.101778, lowerbound=1211125.101778, norm of subgrad 38.620446	 stepsize= 1.000000 
-dualbound = 2959410.652262, lowerbound=1210331.652262, norm of subgrad 1100.795918	dualbound = 2959410.652262, lowerbound=1210331.652262, norm of subgrad 39.856624	 stepsize= 1.000000 
-dualbound = 2959505.273280, lowerbound=1213332.273280, norm of subgrad 1102.165266	dualbound = 2959505.273280, lowerbound=1213332.273280, norm of subgrad 39.123152	 stepsize= 1.000000 
-dualbound = 2959648.272770, lowerbound=1210381.272770, norm of subgrad 1100.812551	dualbound = 2959648.272770, lowerbound=1210381.272770, norm of subgrad 39.370033	 stepsize= 1.000000 
-dualbound = 2959762.173407, lowerbound=1211736.173407, norm of subgrad 1101.415986	dualbound = 2959762.173407, lowerbound=1211736.173407, norm of subgrad 38.663945	 stepsize= 1.000000 
-dualbound = 2959914.927124, lowerbound=1211235.927124, norm of subgrad 1101.210210	dualbound = 2959914.927124, lowerbound=1211235.927124, norm of subgrad 39.758694	 stepsize= 1.000000 
-dualbound = 2960022.247616, lowerbound=1215302.247616, norm of subgrad 1103.022324	dualbound = 2960022.247616, lowerbound=1215302.247616, norm of subgrad 38.253372	 stepsize= 1.000000 
-dualbound = 2960160.431705, lowerbound=1213524.431705, norm of subgrad 1102.230208	dualbound = 2960160.431705, lowerbound=1213524.431705, norm of subgrad 39.053605	 stepsize= 1.000000 
-dualbound = 2960290.489586, lowerbound=1209731.489586, norm of subgrad 1100.497837	dualbound = 2960290.489586, lowerbound=1209731.489586, norm of subgrad 38.653045	 stepsize= 1.000000 
-dualbound = 2960426.870755, lowerbound=1212508.870755, norm of subgrad 1101.771696	dualbound = 2960426.870755, lowerbound=1212508.870755, norm of subgrad 39.094516	 stepsize= 1.000000 
-dualbound = 2960541.175919, lowerbound=1211753.175919, norm of subgrad 1101.415987	dualbound = 2960541.175919, lowerbound=1211753.175919, norm of subgrad 38.448734	 stepsize= 1.000000 
-dualbound = 2960666.072691, lowerbound=1212165.072691, norm of subgrad 1101.626558	dualbound = 2960666.072691, lowerbound=1212165.072691, norm of subgrad 39.254258	 stepsize= 1.000000 
-dualbound = 2960796.487734, lowerbound=1208306.487734, norm of subgrad 1099.874760	dualbound = 2960796.487734, lowerbound=1208306.487734, norm of subgrad 39.349905	 stepsize= 1.000000 
-dualbound = 2960907.308191, lowerbound=1214429.308191, norm of subgrad 1102.650130	dualbound = 2960907.308191, lowerbound=1214429.308191, norm of subgrad 38.972047	 stepsize= 1.000000 
-dualbound = 2961076.621339, lowerbound=1210047.621339, norm of subgrad 1100.634191	dualbound = 2961076.621339, lowerbound=1210047.621339, norm of subgrad 38.952704	 stepsize= 1.000000 
-dualbound = 2961194.383509, lowerbound=1216449.383509, norm of subgrad 1103.565759	dualbound = 2961194.383509, lowerbound=1216449.383509, norm of subgrad 39.061006	 stepsize= 1.000000 
-dualbound = 2961299.909424, lowerbound=1211157.909424, norm of subgrad 1101.153445	dualbound = 2961299.909424, lowerbound=1211157.909424, norm of subgrad 38.555491	 stepsize= 1.000000 
-dualbound = 2961446.597076, lowerbound=1210902.597076, norm of subgrad 1101.032060	dualbound = 2961446.597076, lowerbound=1210902.597076, norm of subgrad 38.931833	 stepsize= 1.000000 
-dualbound = 2961570.963908, lowerbound=1212566.963908, norm of subgrad 1101.823018	dualbound = 2961570.963908, lowerbound=1212566.963908, norm of subgrad 39.640470	 stepsize= 1.000000 
-dualbound = 2961688.959712, lowerbound=1214299.959712, norm of subgrad 1102.571521	dualbound = 2961688.959712, lowerbound=1214299.959712, norm of subgrad 38.496699	 stepsize= 1.000000 
-dualbound = 2961840.629758, lowerbound=1214789.629758, norm of subgrad 1102.813053	dualbound = 2961840.629758, lowerbound=1214789.629758, norm of subgrad 39.479996	 stepsize= 1.000000 
-dualbound = 2961946.189079, lowerbound=1211942.189079, norm of subgrad 1101.504966	dualbound = 2961946.189079, lowerbound=1211942.189079, norm of subgrad 38.426024	 stepsize= 1.000000 
-dualbound = 2962093.933661, lowerbound=1211516.933661, norm of subgrad 1101.309645	dualbound = 2962093.933661, lowerbound=1211516.933661, norm of subgrad 38.906871	 stepsize= 1.000000 
-dualbound = 2962227.000289, lowerbound=1213319.000289, norm of subgrad 1102.141098	dualbound = 2962227.000289, lowerbound=1213319.000289, norm of subgrad 39.103282	 stepsize= 1.000000 
-dualbound = 2962340.730014, lowerbound=1207534.730014, norm of subgrad 1099.552514	dualbound = 2962340.730014, lowerbound=1207534.730014, norm of subgrad 39.934067	 stepsize= 1.000000 
-dualbound = 2962454.788620, lowerbound=1210876.788620, norm of subgrad 1101.058031	dualbound = 2962454.788620, lowerbound=1210876.788620, norm of subgrad 39.573458	 stepsize= 1.000000 
-dualbound = 2962589.830735, lowerbound=1209727.830735, norm of subgrad 1100.503444	dualbound = 2962589.830735, lowerbound=1209727.830735, norm of subgrad 38.923542	 stepsize= 1.000000 
-dualbound = 2962723.841313, lowerbound=1211106.841313, norm of subgrad 1101.157047	dualbound = 2962723.841313, lowerbound=1211106.841313, norm of subgrad 39.673802	 stepsize= 1.000000 
-dualbound = 2962832.100511, lowerbound=1212127.100511, norm of subgrad 1101.596614	dualbound = 2962832.100511, lowerbound=1212127.100511, norm of subgrad 38.681510	 stepsize= 1.000000 
-dualbound = 2962968.391790, lowerbound=1212565.391790, norm of subgrad 1101.779194	dualbound = 2962968.391790, lowerbound=1212565.391790, norm of subgrad 38.578378	 stepsize= 1.000000 
-dualbound = 2963102.191781, lowerbound=1212853.191781, norm of subgrad 1101.888012	dualbound = 2963102.191781, lowerbound=1212853.191781, norm of subgrad 37.918333	 stepsize= 1.000000 
-dualbound = 2963244.649473, lowerbound=1213240.649473, norm of subgrad 1102.093303	dualbound = 2963244.649473, lowerbound=1213240.649473, norm of subgrad 38.877470	 stepsize= 1.000000 
-dualbound = 2963360.742101, lowerbound=1214163.742101, norm of subgrad 1102.505212	dualbound = 2963360.742101, lowerbound=1214163.742101, norm of subgrad 38.341787	 stepsize= 1.000000 
-dualbound = 2963492.778080, lowerbound=1214055.778080, norm of subgrad 1102.466225	dualbound = 2963492.778080, lowerbound=1214055.778080, norm of subgrad 38.833439	 stepsize= 1.000000 
-dualbound = 2963588.356245, lowerbound=1217464.356245, norm of subgrad 1104.020089	dualbound = 2963588.356245, lowerbound=1217464.356245, norm of subgrad 38.620955	 stepsize= 1.000000 
-dualbound = 2963742.078689, lowerbound=1212553.078689, norm of subgrad 1101.788128	dualbound = 2963742.078689, lowerbound=1212553.078689, norm of subgrad 39.213804	 stepsize= 1.000000 
-dualbound = 2963874.193672, lowerbound=1205414.193672, norm of subgrad 1098.561420	dualbound = 2963874.193672, lowerbound=1205414.193672, norm of subgrad 39.434946	 stepsize= 1.000000 
-dualbound = 2964006.579495, lowerbound=1217417.579495, norm of subgrad 1104.003433	dualbound = 2964006.579495, lowerbound=1217417.579495, norm of subgrad 39.222262	 stepsize= 1.000000 
-dualbound = 2964129.024248, lowerbound=1209360.024248, norm of subgrad 1100.352682	dualbound = 2964129.024248, lowerbound=1209360.024248, norm of subgrad 39.223013	 stepsize= 1.000000 
-dualbound = 2964245.790426, lowerbound=1211816.790426, norm of subgrad 1101.460299	dualbound = 2964245.790426, lowerbound=1211816.790426, norm of subgrad 38.919997	 stepsize= 1.000000 
-dualbound = 2964404.848741, lowerbound=1208201.848741, norm of subgrad 1099.802641	dualbound = 2964404.848741, lowerbound=1208201.848741, norm of subgrad 39.026380	 stepsize= 1.000000 
-dualbound = 2964513.147881, lowerbound=1214840.147881, norm of subgrad 1102.804673	dualbound = 2964513.147881, lowerbound=1214840.147881, norm of subgrad 38.030240	 stepsize= 1.000000 
-dualbound = 2964639.017637, lowerbound=1210649.017637, norm of subgrad 1100.897823	dualbound = 2964639.017637, lowerbound=1210649.017637, norm of subgrad 38.116529	 stepsize= 1.000000 
-dualbound = 2964774.766748, lowerbound=1213392.766748, norm of subgrad 1102.170934	dualbound = 2964774.766748, lowerbound=1213392.766748, norm of subgrad 39.035229	 stepsize= 1.000000 
-dualbound = 2964875.486473, lowerbound=1213097.486473, norm of subgrad 1102.030620	dualbound = 2964875.486473, lowerbound=1213097.486473, norm of subgrad 38.402080	 stepsize= 1.000000 
-dualbound = 2965029.746496, lowerbound=1213431.746496, norm of subgrad 1102.172285	dualbound = 2965029.746496, lowerbound=1213431.746496, norm of subgrad 38.810566	 stepsize= 1.000000 
-dualbound = 2965160.014822, lowerbound=1213235.014822, norm of subgrad 1102.101635	dualbound = 2965160.014822, lowerbound=1213235.014822, norm of subgrad 39.029070	 stepsize= 1.000000 
-dualbound = 2965252.425270, lowerbound=1212331.425270, norm of subgrad 1101.690258	dualbound = 2965252.425270, lowerbound=1212331.425270, norm of subgrad 38.502084	 stepsize= 1.000000 
-dualbound = 2965391.137747, lowerbound=1213192.137747, norm of subgrad 1102.106228	dualbound = 2965391.137747, lowerbound=1213192.137747, norm of subgrad 39.808447	 stepsize= 1.000000 
-dualbound = 2965497.835232, lowerbound=1220218.835232, norm of subgrad 1105.290385	dualbound = 2965497.835232, lowerbound=1220218.835232, norm of subgrad 39.429652	 stepsize= 1.000000 
-dualbound = 2965653.608028, lowerbound=1207763.608028, norm of subgrad 1099.634761	dualbound = 2965653.608028, lowerbound=1207763.608028, norm of subgrad 39.859413	 stepsize= 1.000000 
-dualbound = 2965772.218039, lowerbound=1214817.218039, norm of subgrad 1102.829188	dualbound = 2965772.218039, lowerbound=1214817.218039, norm of subgrad 39.161333	 stepsize= 1.000000 
-dualbound = 2965897.527008, lowerbound=1210004.527008, norm of subgrad 1100.628242	dualbound = 2965897.527008, lowerbound=1210004.527008, norm of subgrad 38.772529	 stepsize= 1.000000 
-dualbound = 2966056.289750, lowerbound=1210625.289750, norm of subgrad 1100.906576	dualbound = 2966056.289750, lowerbound=1210625.289750, norm of subgrad 39.099396	 stepsize= 1.000000 
-dualbound = 2966151.726326, lowerbound=1212077.726326, norm of subgrad 1101.550147	dualbound = 2966151.726326, lowerbound=1212077.726326, norm of subgrad 37.821113	 stepsize= 1.000000 
-dualbound = 2966309.977255, lowerbound=1214779.977255, norm of subgrad 1102.786914	dualbound = 2966309.977255, lowerbound=1214779.977255, norm of subgrad 38.951905	 stepsize= 1.000000 
-dualbound = 2966429.906579, lowerbound=1208290.906579, norm of subgrad 1099.874496	dualbound = 2966429.906579, lowerbound=1208290.906579, norm of subgrad 39.407224	 stepsize= 1.000000 
-dualbound = 2966551.270506, lowerbound=1213056.270506, norm of subgrad 1101.980613	dualbound = 2966551.270506, lowerbound=1213056.270506, norm of subgrad 37.767234	 stepsize= 1.000000 
-dualbound = 2966698.538759, lowerbound=1215441.538759, norm of subgrad 1103.089996	dualbound = 2966698.538759, lowerbound=1215441.538759, norm of subgrad 38.900749	 stepsize= 1.000000 
-dualbound = 2966802.955333, lowerbound=1213740.955333, norm of subgrad 1102.314817	dualbound = 2966802.955333, lowerbound=1213740.955333, norm of subgrad 38.228479	 stepsize= 1.000000 
-dualbound = 2966944.291448, lowerbound=1212932.291448, norm of subgrad 1101.967464	dualbound = 2966944.291448, lowerbound=1212932.291448, norm of subgrad 39.259854	 stepsize= 1.000000 
-dualbound = 2967043.094556, lowerbound=1217016.094556, norm of subgrad 1103.812074	dualbound = 2967043.094556, lowerbound=1217016.094556, norm of subgrad 38.520165	 stepsize= 1.000000 
-dualbound = 2967183.193526, lowerbound=1209250.193526, norm of subgrad 1100.312771	dualbound = 2967183.193526, lowerbound=1209250.193526, norm of subgrad 39.725294	 stepsize= 1.000000 
-dualbound = 2967292.466612, lowerbound=1214965.466612, norm of subgrad 1102.868291	dualbound = 2967292.466612, lowerbound=1214965.466612, norm of subgrad 38.239679	 stepsize= 1.000000 
-dualbound = 2967440.491175, lowerbound=1213357.491175, norm of subgrad 1102.163096	dualbound = 2967440.491175, lowerbound=1213357.491175, norm of subgrad 39.421118	 stepsize= 1.000000 
-dualbound = 2967575.509445, lowerbound=1209389.509445, norm of subgrad 1100.332454	dualbound = 2967575.509445, lowerbound=1209389.509445, norm of subgrad 38.431995	 stepsize= 1.000000 
-dualbound = 2967701.904861, lowerbound=1212308.904861, norm of subgrad 1101.696830	dualbound = 2967701.904861, lowerbound=1212308.904861, norm of subgrad 39.413138	 stepsize= 1.000000 
-dualbound = 2967808.632776, lowerbound=1215124.632776, norm of subgrad 1102.980341	dualbound = 2967808.632776, lowerbound=1215124.632776, norm of subgrad 39.341173	 stepsize= 1.000000 
-dualbound = 2967943.015214, lowerbound=1209761.015214, norm of subgrad 1100.528516	dualbound = 2967943.015214, lowerbound=1209761.015214, norm of subgrad 39.196715	 stepsize= 1.000000 
-dualbound = 2968085.093573, lowerbound=1216658.093573, norm of subgrad 1103.656239	dualbound = 2968085.093573, lowerbound=1216658.093573, norm of subgrad 39.256571	 stepsize= 1.000000 
-dualbound = 2968192.650927, lowerbound=1212396.650927, norm of subgrad 1101.721222	dualbound = 2968192.650927, lowerbound=1212396.650927, norm of subgrad 38.737028	 stepsize= 1.000000 
-dualbound = 2968328.034707, lowerbound=1213759.034707, norm of subgrad 1102.339800	dualbound = 2968328.034707, lowerbound=1213759.034707, norm of subgrad 39.107337	 stepsize= 1.000000 
-dualbound = 2968450.535262, lowerbound=1215443.535262, norm of subgrad 1103.141666	dualbound = 2968450.535262, lowerbound=1215443.535262, norm of subgrad 40.006256	 stepsize= 1.000000 
-dualbound = 2968574.057062, lowerbound=1210581.057062, norm of subgrad 1100.907379	dualbound = 2968574.057062, lowerbound=1210581.057062, norm of subgrad 39.236740	 stepsize= 1.000000 
-dualbound = 2968721.539936, lowerbound=1210181.539936, norm of subgrad 1100.722281	dualbound = 2968721.539936, lowerbound=1210181.539936, norm of subgrad 39.439610	 stepsize= 1.000000 
-dualbound = 2968832.181686, lowerbound=1215388.181686, norm of subgrad 1103.093007	dualbound = 2968832.181686, lowerbound=1215388.181686, norm of subgrad 39.200022	 stepsize= 1.000000 
-dualbound = 2968962.710762, lowerbound=1215319.710762, norm of subgrad 1103.054265	dualbound = 2968962.710762, lowerbound=1215319.710762, norm of subgrad 39.236833	 stepsize= 1.000000 
-dualbound = 2969087.405922, lowerbound=1208880.405922, norm of subgrad 1100.119723	dualbound = 2969087.405922, lowerbound=1208880.405922, norm of subgrad 38.829050	 stepsize= 1.000000 
-dualbound = 2969222.277237, lowerbound=1215069.277237, norm of subgrad 1102.927140	dualbound = 2969222.277237, lowerbound=1215069.277237, norm of subgrad 38.908499	 stepsize= 1.000000 
-dualbound = 2969362.728664, lowerbound=1211274.728664, norm of subgrad 1101.204672	dualbound = 2969362.728664, lowerbound=1211274.728664, norm of subgrad 38.954479	 stepsize= 1.000000 
-dualbound = 2969483.442302, lowerbound=1212591.442302, norm of subgrad 1101.806899	dualbound = 2969483.442302, lowerbound=1212591.442302, norm of subgrad 38.829288	 stepsize= 1.000000 
-dualbound = 2969616.785418, lowerbound=1213068.785418, norm of subgrad 1102.018051	dualbound = 2969616.785418, lowerbound=1213068.785418, norm of subgrad 38.837393	 stepsize= 1.000000 
-dualbound = 2969732.238805, lowerbound=1211142.238805, norm of subgrad 1101.137248	dualbound = 2969732.238805, lowerbound=1211142.238805, norm of subgrad 38.424646	 stepsize= 1.000000 
-dualbound = 2969875.017244, lowerbound=1216440.017244, norm of subgrad 1103.561968	dualbound = 2969875.017244, lowerbound=1216440.017244, norm of subgrad 39.392619	 stepsize= 1.000000 
-dualbound = 2969984.051718, lowerbound=1213044.051718, norm of subgrad 1102.012728	dualbound = 2969984.051718, lowerbound=1213044.051718, norm of subgrad 38.691530	 stepsize= 1.000000 
-dualbound = 2970127.304047, lowerbound=1212024.304047, norm of subgrad 1101.544962	dualbound = 2970127.304047, lowerbound=1212024.304047, norm of subgrad 38.990413	 stepsize= 1.000000 
-dualbound = 2970245.083291, lowerbound=1213530.083291, norm of subgrad 1102.214173	dualbound = 2970245.083291, lowerbound=1213530.083291, norm of subgrad 38.259368	 stepsize= 1.000000 
-dualbound = 2970380.183033, lowerbound=1210171.183033, norm of subgrad 1100.681236	dualbound = 2970380.183033, lowerbound=1210171.183033, norm of subgrad 38.250487	 stepsize= 1.000000 
-dualbound = 2970510.321426, lowerbound=1212171.321426, norm of subgrad 1101.608969	dualbound = 2970510.321426, lowerbound=1212171.321426, norm of subgrad 38.744527	 stepsize= 1.000000 
-dualbound = 2970640.508803, lowerbound=1214566.508803, norm of subgrad 1102.681962	dualbound = 2970640.508803, lowerbound=1214566.508803, norm of subgrad 38.356060	 stepsize= 1.000000 
-dualbound = 2970737.263483, lowerbound=1210078.263483, norm of subgrad 1100.652199	dualbound = 2970737.263483, lowerbound=1210078.263483, norm of subgrad 38.128135	 stepsize= 1.000000 
-dualbound = 2970888.044207, lowerbound=1217633.044207, norm of subgrad 1104.062518	dualbound = 2970888.044207, lowerbound=1217633.044207, norm of subgrad 38.363794	 stepsize= 1.000000 
-dualbound = 2971031.758899, lowerbound=1214547.758899, norm of subgrad 1102.682075	dualbound = 2971031.758899, lowerbound=1214547.758899, norm of subgrad 38.777760	 stepsize= 1.000000 
-dualbound = 2971138.661241, lowerbound=1209273.661241, norm of subgrad 1100.308894	dualbound = 2971138.661241, lowerbound=1209273.661241, norm of subgrad 38.896045	 stepsize= 1.000000 
-dualbound = 2971265.142801, lowerbound=1211441.142801, norm of subgrad 1101.297482	dualbound = 2971265.142801, lowerbound=1211441.142801, norm of subgrad 39.261706	 stepsize= 1.000000 
-dualbound = 2971390.187355, lowerbound=1212812.187355, norm of subgrad 1101.897993	dualbound = 2971390.187355, lowerbound=1212812.187355, norm of subgrad 38.626993	 stepsize= 1.000000 
-dualbound = 2971523.878862, lowerbound=1210341.878862, norm of subgrad 1100.805105	dualbound = 2971523.878862, lowerbound=1210341.878862, norm of subgrad 39.543539	 stepsize= 1.000000 
-dualbound = 2971638.523410, lowerbound=1215090.523410, norm of subgrad 1102.929065	dualbound = 2971638.523410, lowerbound=1215090.523410, norm of subgrad 38.427133	 stepsize= 1.000000 
-dualbound = 2971777.202473, lowerbound=1217048.202473, norm of subgrad 1103.833412	dualbound = 2971777.202473, lowerbound=1217048.202473, norm of subgrad 39.226000	 stepsize= 1.000000 
-dualbound = 2971928.975825, lowerbound=1216906.975825, norm of subgrad 1103.772158	dualbound = 2971928.975825, lowerbound=1216906.975825, norm of subgrad 39.468638	 stepsize= 1.000000 
-dualbound = 2972020.334521, lowerbound=1209847.334521, norm of subgrad 1100.584088	dualbound = 2972020.334521, lowerbound=1209847.334521, norm of subgrad 39.107016	 stepsize= 1.000000 
-dualbound = 2972165.955415, lowerbound=1209549.955415, norm of subgrad 1100.427170	dualbound = 2972165.955415, lowerbound=1209549.955415, norm of subgrad 39.186999	 stepsize= 1.000000 
-dualbound = 2972286.648068, lowerbound=1214151.648068, norm of subgrad 1102.496552	dualbound = 2972286.648068, lowerbound=1214151.648068, norm of subgrad 38.310477	 stepsize= 1.000000 
-dualbound = 2972431.708757, lowerbound=1215110.708757, norm of subgrad 1102.940936	dualbound = 2972431.708757, lowerbound=1215110.708757, norm of subgrad 38.898081	 stepsize= 1.000000 
-dualbound = 2972547.812003, lowerbound=1209821.812003, norm of subgrad 1100.545688	dualbound = 2972547.812003, lowerbound=1209821.812003, norm of subgrad 38.666565	 stepsize= 1.000000 
-dualbound = 2972702.496162, lowerbound=1214661.496162, norm of subgrad 1102.744529	dualbound = 2972702.496162, lowerbound=1214661.496162, norm of subgrad 39.226065	 stepsize= 1.000000 
-dualbound = 2972797.660479, lowerbound=1213193.660479, norm of subgrad 1102.089225	dualbound = 2972797.660479, lowerbound=1213193.660479, norm of subgrad 38.757765	 stepsize= 1.000000 
-dualbound = 2972936.863110, lowerbound=1212361.863110, norm of subgrad 1101.685465	dualbound = 2972936.863110, lowerbound=1212361.863110, norm of subgrad 38.577229	 stepsize= 1.000000 
-dualbound = 2973060.134013, lowerbound=1211890.134013, norm of subgrad 1101.506756	dualbound = 2973060.134013, lowerbound=1211890.134013, norm of subgrad 39.373480	 stepsize= 1.000000 
-dualbound = 2973187.652266, lowerbound=1211721.652266, norm of subgrad 1101.407578	dualbound = 2973187.652266, lowerbound=1211721.652266, norm of subgrad 38.788120	 stepsize= 1.000000 
-dualbound = 2973332.795807, lowerbound=1212324.795807, norm of subgrad 1101.698596	dualbound = 2973332.795807, lowerbound=1212324.795807, norm of subgrad 39.498652	 stepsize= 1.000000 
-dualbound = 2973443.246866, lowerbound=1216080.246866, norm of subgrad 1103.358621	dualbound = 2973443.246866, lowerbound=1216080.246866, norm of subgrad 37.821304	 stepsize= 1.000000 
-dualbound = 2973584.741260, lowerbound=1209091.741260, norm of subgrad 1100.191229	dualbound = 2973584.741260, lowerbound=1209091.741260, norm of subgrad 38.347026	 stepsize= 1.000000 
-dualbound = 2973684.912656, lowerbound=1219131.912656, norm of subgrad 1104.789986	dualbound = 2973684.912656, lowerbound=1219131.912656, norm of subgrad 39.104621	 stepsize= 1.000000 
-dualbound = 2973809.139935, lowerbound=1213215.139935, norm of subgrad 1102.083091	dualbound = 2973809.139935, lowerbound=1213215.139935, norm of subgrad 38.681097	 stepsize= 1.000000 
-dualbound = 2973966.604034, lowerbound=1215012.604034, norm of subgrad 1102.884221	dualbound = 2973966.604034, lowerbound=1215012.604034, norm of subgrad 38.710000	 stepsize= 1.000000 
-dualbound = 2974063.138687, lowerbound=1209264.138687, norm of subgrad 1100.285481	dualbound = 2974063.138687, lowerbound=1209264.138687, norm of subgrad 38.216942	 stepsize= 1.000000 
-dualbound = 2974210.621804, lowerbound=1212620.621804, norm of subgrad 1101.821048	dualbound = 2974210.621804, lowerbound=1212620.621804, norm of subgrad 39.197999	 stepsize= 1.000000 
-dualbound = 2974329.405214, lowerbound=1208858.405214, norm of subgrad 1100.112451	dualbound = 2974329.405214, lowerbound=1208858.405214, norm of subgrad 38.830187	 stepsize= 1.000000 
-dualbound = 2974464.809980, lowerbound=1217533.809980, norm of subgrad 1104.055619	dualbound = 2974464.809980, lowerbound=1217533.809980, norm of subgrad 39.247991	 stepsize= 1.000000 
-dualbound = 2974580.080253, lowerbound=1209436.080253, norm of subgrad 1100.381334	dualbound = 2974580.080253, lowerbound=1209436.080253, norm of subgrad 38.964988	 stepsize= 1.000000 
-dualbound = 2974707.419054, lowerbound=1215496.419054, norm of subgrad 1103.128016	dualbound = 2974707.419054, lowerbound=1215496.419054, norm of subgrad 39.017160	 stepsize= 1.000000 
-dualbound = 2974845.898271, lowerbound=1208653.898271, norm of subgrad 1100.009499	dualbound = 2974845.898271, lowerbound=1208653.898271, norm of subgrad 38.800505	 stepsize= 1.000000 
-dualbound = 2974997.347913, lowerbound=1214720.347913, norm of subgrad 1102.745369	dualbound = 2974997.347913, lowerbound=1214720.347913, norm of subgrad 38.450613	 stepsize= 1.000000 
-dualbound = 2975110.726232, lowerbound=1212858.726232, norm of subgrad 1101.903683	dualbound = 2975110.726232, lowerbound=1212858.726232, norm of subgrad 38.031281	 stepsize= 1.000000 
-dualbound = 2975245.279987, lowerbound=1211713.279987, norm of subgrad 1101.378809	dualbound = 2975245.279987, lowerbound=1211713.279987, norm of subgrad 38.164824	 stepsize= 1.000000 
-dualbound = 2975372.368168, lowerbound=1215074.368168, norm of subgrad 1102.894541	dualbound = 2975372.368168, lowerbound=1215074.368168, norm of subgrad 37.803283	 stepsize= 1.000000 
-dualbound = 2975479.678384, lowerbound=1212940.678384, norm of subgrad 1101.957657	dualbound = 2975479.678384, lowerbound=1212940.678384, norm of subgrad 38.435793	 stepsize= 1.000000 
-dualbound = 2975613.677913, lowerbound=1214489.677913, norm of subgrad 1102.656192	dualbound = 2975613.677913, lowerbound=1214489.677913, norm of subgrad 38.665224	 stepsize= 1.000000 
-dualbound = 2975741.953872, lowerbound=1217679.953872, norm of subgrad 1104.119538	dualbound = 2975741.953872, lowerbound=1217679.953872, norm of subgrad 39.093170	 stepsize= 1.000000 
-dualbound = 2975843.972860, lowerbound=1209018.972860, norm of subgrad 1100.214967	dualbound = 2975843.972860, lowerbound=1209018.972860, norm of subgrad 39.446407	 stepsize= 1.000000 
-dualbound = 2975951.916028, lowerbound=1216441.916028, norm of subgrad 1103.584576	dualbound = 2975951.916028, lowerbound=1216441.916028, norm of subgrad 39.559363	 stepsize= 1.000000 
-dualbound = 2976083.713855, lowerbound=1209870.713855, norm of subgrad 1100.586077	dualbound = 2976083.713855, lowerbound=1209870.713855, norm of subgrad 39.380170	 stepsize= 1.000000 
-dualbound = 2976234.199537, lowerbound=1213134.199537, norm of subgrad 1102.071776	dualbound = 2976234.199537, lowerbound=1213134.199537, norm of subgrad 39.730161	 stepsize= 1.000000 
-dualbound = 2976346.393443, lowerbound=1215692.393443, norm of subgrad 1103.217745	dualbound = 2976346.393443, lowerbound=1215692.393443, norm of subgrad 38.848345	 stepsize= 1.000000 
-dualbound = 2976511.076356, lowerbound=1213122.076356, norm of subgrad 1102.031795	dualbound = 2976511.076356, lowerbound=1213122.076356, norm of subgrad 38.944613	 stepsize= 1.000000 
-dualbound = 2976614.012782, lowerbound=1216466.012782, norm of subgrad 1103.564684	dualbound = 2976614.012782, lowerbound=1216466.012782, norm of subgrad 38.625593	 stepsize= 1.000000 
-dualbound = 2976793.350426, lowerbound=1208617.350426, norm of subgrad 1099.995614	dualbound = 2976793.350426, lowerbound=1208617.350426, norm of subgrad 39.399716	 stepsize= 1.000000 
-dualbound = 2976865.535096, lowerbound=1208817.535096, norm of subgrad 1100.102511	dualbound = 2976865.535096, lowerbound=1208817.535096, norm of subgrad 38.473168	 stepsize= 1.000000 
-dualbound = 2977018.964359, lowerbound=1214427.964359, norm of subgrad 1102.631835	dualbound = 2977018.964359, lowerbound=1214427.964359, norm of subgrad 39.018320	 stepsize= 1.000000 
-dualbound = 2977142.298371, lowerbound=1212770.298371, norm of subgrad 1101.853120	dualbound = 2977142.298371, lowerbound=1212770.298371, norm of subgrad 37.859398	 stepsize= 1.000000 
-dualbound = 2977266.428554, lowerbound=1208534.428554, norm of subgrad 1099.977013	dualbound = 2977266.428554, lowerbound=1208534.428554, norm of subgrad 39.231750	 stepsize= 1.000000 
-dualbound = 2977362.871214, lowerbound=1217111.871214, norm of subgrad 1103.908905	dualbound = 2977362.871214, lowerbound=1217111.871214, norm of subgrad 39.993033	 stepsize= 1.000000 
-dualbound = 2977486.188349, lowerbound=1212567.188349, norm of subgrad 1101.802246	dualbound = 2977486.188349, lowerbound=1212567.188349, norm of subgrad 39.042504	 stepsize= 1.000000 
-dualbound = 2977635.382863, lowerbound=1220157.382863, norm of subgrad 1105.244942	dualbound = 2977635.382863, lowerbound=1220157.382863, norm of subgrad 39.473973	 stepsize= 1.000000 
-dualbound = 2977751.522165, lowerbound=1209455.522165, norm of subgrad 1100.380172	dualbound = 2977751.522165, lowerbound=1209455.522165, norm of subgrad 38.692884	 stepsize= 1.000000 
-dualbound = 2977901.469148, lowerbound=1210218.469148, norm of subgrad 1100.719523	dualbound = 2977901.469148, lowerbound=1210218.469148, norm of subgrad 38.922320	 stepsize= 1.000000 
-dualbound = 2978037.209942, lowerbound=1215346.209942, norm of subgrad 1103.051771	dualbound = 2978037.209942, lowerbound=1215346.209942, norm of subgrad 38.893969	 stepsize= 1.000000 
-dualbound = 2978167.255828, lowerbound=1211849.255828, norm of subgrad 1101.473675	dualbound = 2978167.255828, lowerbound=1211849.255828, norm of subgrad 39.051836	 stepsize= 1.000000 
-dualbound = 2978279.302846, lowerbound=1214183.302846, norm of subgrad 1102.531770	dualbound = 2978279.302846, lowerbound=1214183.302846, norm of subgrad 38.794935	 stepsize= 1.000000 
-dualbound = 2978423.542646, lowerbound=1214669.542646, norm of subgrad 1102.735028	dualbound = 2978423.542646, lowerbound=1214669.542646, norm of subgrad 38.720018	 stepsize= 1.000000 
-dualbound = 2978540.935336, lowerbound=1213991.935336, norm of subgrad 1102.456319	dualbound = 2978540.935336, lowerbound=1213991.935336, norm of subgrad 39.184087	 stepsize= 1.000000 
-dualbound = 2978658.638912, lowerbound=1211220.638912, norm of subgrad 1101.200998	dualbound = 2978658.638912, lowerbound=1211220.638912, norm of subgrad 39.251797	 stepsize= 1.000000 
-dualbound = 2978781.339271, lowerbound=1215010.339271, norm of subgrad 1102.910395	dualbound = 2978781.339271, lowerbound=1215010.339271, norm of subgrad 39.034605	 stepsize= 1.000000 
-dualbound = 2978903.541872, lowerbound=1216007.541872, norm of subgrad 1103.379600	dualbound = 2978903.541872, lowerbound=1216007.541872, norm of subgrad 39.512056	 stepsize= 1.000000 
-dualbound = 2979034.894594, lowerbound=1214806.894594, norm of subgrad 1102.816800	dualbound = 2979034.894594, lowerbound=1214806.894594, norm of subgrad 39.106940	 stepsize= 1.000000 
-dualbound = 2979156.993302, lowerbound=1213036.993302, norm of subgrad 1102.009525	dualbound = 2979156.993302, lowerbound=1213036.993302, norm of subgrad 38.859989	 stepsize= 1.000000 
-dualbound = 2979305.245966, lowerbound=1213754.245966, norm of subgrad 1102.324474	dualbound = 2979305.245966, lowerbound=1213754.245966, norm of subgrad 38.900548	 stepsize= 1.000000 
-dualbound = 2979411.979874, lowerbound=1214372.979874, norm of subgrad 1102.628215	dualbound = 2979411.979874, lowerbound=1214372.979874, norm of subgrad 39.022223	 stepsize= 1.000000 
-dualbound = 2979539.502705, lowerbound=1213391.502705, norm of subgrad 1102.174443	dualbound = 2979539.502705, lowerbound=1213391.502705, norm of subgrad 39.045138	 stepsize= 1.000000 
-dualbound = 2979665.932040, lowerbound=1215580.932040, norm of subgrad 1103.172666	dualbound = 2979665.932040, lowerbound=1215580.932040, norm of subgrad 39.184555	 stepsize= 1.000000 
-dualbound = 2979802.281971, lowerbound=1211165.281971, norm of subgrad 1101.112747	dualbound = 2979802.281971, lowerbound=1211165.281971, norm of subgrad 37.687530	 stepsize= 1.000000 
-dualbound = 2979944.942017, lowerbound=1215286.942017, norm of subgrad 1103.041677	dualbound = 2979944.942017, lowerbound=1215286.942017, norm of subgrad 39.454531	 stepsize= 1.000000 
-dualbound = 2980039.394994, lowerbound=1214858.394994, norm of subgrad 1102.821561	dualbound = 2980039.394994, lowerbound=1214858.394994, norm of subgrad 38.097939	 stepsize= 1.000000 
-dualbound = 2980185.156731, lowerbound=1210963.156731, norm of subgrad 1101.040034	dualbound = 2980185.156731, lowerbound=1210963.156731, norm of subgrad 38.363547	 stepsize= 1.000000 
-dualbound = 2980323.022570, lowerbound=1210416.022570, norm of subgrad 1100.824247	dualbound = 2980323.022570, lowerbound=1210416.022570, norm of subgrad 39.190124	 stepsize= 1.000000 
-dualbound = 2980418.467416, lowerbound=1210958.467416, norm of subgrad 1101.100571	dualbound = 2980418.467416, lowerbound=1210958.467416, norm of subgrad 39.489807	 stepsize= 1.000000 
-dualbound = 2980546.748703, lowerbound=1215700.748703, norm of subgrad 1103.225158	dualbound = 2980546.748703, lowerbound=1215700.748703, norm of subgrad 39.157136	 stepsize= 1.000000 
-dualbound = 2980684.924212, lowerbound=1217701.924212, norm of subgrad 1104.154393	dualbound = 2980684.924212, lowerbound=1217701.924212, norm of subgrad 39.914603	 stepsize= 1.000000 
-dualbound = 2980781.612149, lowerbound=1214203.612149, norm of subgrad 1102.547782	dualbound = 2980781.612149, lowerbound=1214203.612149, norm of subgrad 38.790307	 stepsize= 1.000000 
-dualbound = 2980933.644252, lowerbound=1212980.644252, norm of subgrad 1101.967170	dualbound = 2980933.644252, lowerbound=1212980.644252, norm of subgrad 38.768958	 stepsize= 1.000000 
-dualbound = 2981061.266705, lowerbound=1213975.266705, norm of subgrad 1102.449213	dualbound = 2981061.266705, lowerbound=1213975.266705, norm of subgrad 39.327121	 stepsize= 1.000000 
-dualbound = 2981183.952543, lowerbound=1210404.952543, norm of subgrad 1100.794691	dualbound = 2981183.952543, lowerbound=1210404.952543, norm of subgrad 38.297335	 stepsize= 1.000000 
-dualbound = 2981317.669587, lowerbound=1216941.669587, norm of subgrad 1103.785156	dualbound = 2981317.669587, lowerbound=1216941.669587, norm of subgrad 39.162700	 stepsize= 1.000000 
-dualbound = 2981432.336841, lowerbound=1215269.336841, norm of subgrad 1103.011032	dualbound = 2981432.336841, lowerbound=1215269.336841, norm of subgrad 38.453443	 stepsize= 1.000000 
-dualbound = 2981598.783015, lowerbound=1214883.783015, norm of subgrad 1102.831258	dualbound = 2981598.783015, lowerbound=1214883.783015, norm of subgrad 38.980074	 stepsize= 1.000000 
-dualbound = 2981692.313356, lowerbound=1213547.313356, norm of subgrad 1102.216092	dualbound = 2981692.313356, lowerbound=1213547.313356, norm of subgrad 37.769437	 stepsize= 1.000000 
-dualbound = 2981826.038449, lowerbound=1209900.038449, norm of subgrad 1100.622569	dualbound = 2981826.038449, lowerbound=1209900.038449, norm of subgrad 40.046537	 stepsize= 1.000000 
-dualbound = 2981920.120020, lowerbound=1209232.120020, norm of subgrad 1100.299105	dualbound = 2981920.120020, lowerbound=1209232.120020, norm of subgrad 38.988223	 stepsize= 1.000000 
-dualbound = 2982090.361348, lowerbound=1212802.361348, norm of subgrad 1101.881283	dualbound = 2982090.361348, lowerbound=1212802.361348, norm of subgrad 38.861824	 stepsize= 1.000000 
-dualbound = 2982206.329553, lowerbound=1214411.329553, norm of subgrad 1102.633815	dualbound = 2982206.329553, lowerbound=1214411.329553, norm of subgrad 38.806806	 stepsize= 1.000000 
-dualbound = 2982312.884343, lowerbound=1216777.884343, norm of subgrad 1103.743577	dualbound = 2982312.884343, lowerbound=1216777.884343, norm of subgrad 39.731031	 stepsize= 1.000000 
-dualbound = 2982435.588504, lowerbound=1216711.588504, norm of subgrad 1103.702219	dualbound = 2982435.588504, lowerbound=1216711.588504, norm of subgrad 39.619492	 stepsize= 1.000000 
-dualbound = 2982583.967630, lowerbound=1220443.967630, norm of subgrad 1105.368250	dualbound = 2982583.967630, lowerbound=1220443.967630, norm of subgrad 39.285864	 stepsize= 1.000000 
-dualbound = 2982702.640607, lowerbound=1212378.640607, norm of subgrad 1101.690356	dualbound = 2982702.640607, lowerbound=1212378.640607, norm of subgrad 38.231832	 stepsize= 1.000000 
-dualbound = 2982840.813574, lowerbound=1214168.813574, norm of subgrad 1102.509779	dualbound = 2982840.813574, lowerbound=1214168.813574, norm of subgrad 38.693319	 stepsize= 1.000000 
-dualbound = 2982970.620080, lowerbound=1214028.620080, norm of subgrad 1102.452094	dualbound = 2982970.620080, lowerbound=1214028.620080, norm of subgrad 38.753148	 stepsize= 1.000000 
-dualbound = 2983082.701113, lowerbound=1208986.701113, norm of subgrad 1100.136674	dualbound = 2983082.701113, lowerbound=1208986.701113, norm of subgrad 37.763488	 stepsize= 1.000000 
-dualbound = 2983235.652532, lowerbound=1216831.652532, norm of subgrad 1103.671895	dualbound = 2983235.652532, lowerbound=1216831.652532, norm of subgrad 37.589246	 stepsize= 1.000000 
-dualbound = 2983353.645078, lowerbound=1211891.645078, norm of subgrad 1101.498364	dualbound = 2983353.645078, lowerbound=1211891.645078, norm of subgrad 39.051153	 stepsize= 1.000000 
-dualbound = 2983444.927341, lowerbound=1215828.927341, norm of subgrad 1103.284155	dualbound = 2983444.927341, lowerbound=1215828.927341, norm of subgrad 38.707651	 stepsize= 1.000000 
-dualbound = 2983581.701951, lowerbound=1211782.701951, norm of subgrad 1101.450272	dualbound = 2983581.701951, lowerbound=1211782.701951, norm of subgrad 39.329056	 stepsize= 1.000000 
-dualbound = 2983710.436469, lowerbound=1216671.436469, norm of subgrad 1103.656847	dualbound = 2983710.436469, lowerbound=1216671.436469, norm of subgrad 38.932435	 stepsize= 1.000000 
-dualbound = 2983843.528291, lowerbound=1214769.528291, norm of subgrad 1102.805753	dualbound = 2983843.528291, lowerbound=1214769.528291, norm of subgrad 39.294934	 stepsize= 1.000000 
-dualbound = 2983956.056702, lowerbound=1217459.056702, norm of subgrad 1104.009084	dualbound = 2983956.056702, lowerbound=1217459.056702, norm of subgrad 38.594409	 stepsize= 1.000000 
-dualbound = 2984113.602668, lowerbound=1210978.602668, norm of subgrad 1101.062942	dualbound = 2984113.602668, lowerbound=1210978.602668, norm of subgrad 38.968525	 stepsize= 1.000000 
-dualbound = 2984220.980776, lowerbound=1213667.980776, norm of subgrad 1102.307117	dualbound = 2984220.980776, lowerbound=1213667.980776, norm of subgrad 38.992026	 stepsize= 1.000000 
-dualbound = 2984344.250482, lowerbound=1215185.250482, norm of subgrad 1103.011446	dualbound = 2984344.250482, lowerbound=1215185.250482, norm of subgrad 39.651856	 stepsize= 1.000000 
-dualbound = 2984467.901212, lowerbound=1214475.901212, norm of subgrad 1102.678966	dualbound = 2984467.901212, lowerbound=1214475.901212, norm of subgrad 39.352900	 stepsize= 1.000000 
-dualbound = 2984594.834856, lowerbound=1213666.834856, norm of subgrad 1102.315669	dualbound = 2984594.834856, lowerbound=1213666.834856, norm of subgrad 39.495995	 stepsize= 1.000000 
-dualbound = 2984711.818550, lowerbound=1214606.818550, norm of subgrad 1102.737874	dualbound = 2984711.818550, lowerbound=1214606.818550, norm of subgrad 39.255365	 stepsize= 1.000000 
-dualbound = 2984846.851785, lowerbound=1213449.851785, norm of subgrad 1102.208171	dualbound = 2984846.851785, lowerbound=1213449.851785, norm of subgrad 39.345053	 stepsize= 1.000000 
-dualbound = 2984981.162303, lowerbound=1215421.162303, norm of subgrad 1103.080760	dualbound = 2984981.162303, lowerbound=1215421.162303, norm of subgrad 38.733842	 stepsize= 1.000000 
-dualbound = 2985114.669218, lowerbound=1215118.669218, norm of subgrad 1102.964945	dualbound = 2985114.669218, lowerbound=1215118.669218, norm of subgrad 39.325652	 stepsize= 1.000000 
-dualbound = 2985213.177940, lowerbound=1211868.177940, norm of subgrad 1101.478179	dualbound = 2985213.177940, lowerbound=1211868.177940, norm of subgrad 38.529323	 stepsize= 1.000000 
-dualbound = 2985351.539318, lowerbound=1211885.539318, norm of subgrad 1101.493322	dualbound = 2985351.539318, lowerbound=1211885.539318, norm of subgrad 39.247438	 stepsize= 1.000000 
-dualbound = 2985504.908574, lowerbound=1213809.908574, norm of subgrad 1102.349268	dualbound = 2985504.908574, lowerbound=1213809.908574, norm of subgrad 38.953424	 stepsize= 1.000000 
-dualbound = 2985593.527756, lowerbound=1208526.527756, norm of subgrad 1099.962057	dualbound = 2985593.527756, lowerbound=1208526.527756, norm of subgrad 38.452818	 stepsize= 1.000000 
-dualbound = 2985748.757129, lowerbound=1216432.757129, norm of subgrad 1103.513370	dualbound = 2985748.757129, lowerbound=1216432.757129, norm of subgrad 38.265250	 stepsize= 1.000000 
-dualbound = 2985885.427073, lowerbound=1213446.427073, norm of subgrad 1102.177584	dualbound = 2985885.427073, lowerbound=1213446.427073, norm of subgrad 38.544389	 stepsize= 1.000000 
-dualbound = 2986002.193688, lowerbound=1214251.193688, norm of subgrad 1102.535348	dualbound = 2986002.193688, lowerbound=1214251.193688, norm of subgrad 38.075801	 stepsize= 1.000000 
-dualbound = 2986140.673294, lowerbound=1217498.673294, norm of subgrad 1104.001664	dualbound = 2986140.673294, lowerbound=1217498.673294, norm of subgrad 38.203136	 stepsize= 1.000000 
-dualbound = 2986272.090209, lowerbound=1214681.090209, norm of subgrad 1102.739811	dualbound = 2986272.090209, lowerbound=1214681.090209, norm of subgrad 38.541107	 stepsize= 1.000000 
-dualbound = 2986367.800558, lowerbound=1212884.800558, norm of subgrad 1101.949092	dualbound = 2986367.800558, lowerbound=1212884.800558, norm of subgrad 38.764808	 stepsize= 1.000000 
-dualbound = 2986512.994034, lowerbound=1215595.994034, norm of subgrad 1103.160910	dualbound = 2986512.994034, lowerbound=1215595.994034, norm of subgrad 38.899788	 stepsize= 1.000000 
-dualbound = 2986632.120657, lowerbound=1212840.120657, norm of subgrad 1101.909761	dualbound = 2986632.120657, lowerbound=1212840.120657, norm of subgrad 38.524364	 stepsize= 1.000000 
-dualbound = 2986767.244649, lowerbound=1221225.244649, norm of subgrad 1105.706672	dualbound = 2986767.244649, lowerbound=1221225.244649, norm of subgrad 38.692687	 stepsize= 1.000000 
-dualbound = 2986891.098459, lowerbound=1208219.098459, norm of subgrad 1099.817757	dualbound = 2986891.098459, lowerbound=1208219.098459, norm of subgrad 38.779554	 stepsize= 1.000000 
-dualbound = 2987012.550958, lowerbound=1216667.550958, norm of subgrad 1103.667319	dualbound = 2987012.550958, lowerbound=1216667.550958, norm of subgrad 39.184850	 stepsize= 1.000000 
-dualbound = 2987141.126595, lowerbound=1214203.126595, norm of subgrad 1102.538492	dualbound = 2987141.126595, lowerbound=1214203.126595, norm of subgrad 38.943236	 stepsize= 1.000000 
-dualbound = 2987269.855669, lowerbound=1214921.855669, norm of subgrad 1102.901562	dualbound = 2987269.855669, lowerbound=1214921.855669, norm of subgrad 39.984110	 stepsize= 1.000000 
-dualbound = 2987353.925569, lowerbound=1211048.925569, norm of subgrad 1101.129386	dualbound = 2987353.925569, lowerbound=1211048.925569, norm of subgrad 39.000896	 stepsize= 1.000000 
-dualbound = 2987540.456639, lowerbound=1210209.456639, norm of subgrad 1100.710433	dualbound = 2987540.456639, lowerbound=1210209.456639, norm of subgrad 39.249600	 stepsize= 1.000000 
-dualbound = 2987650.389578, lowerbound=1215216.389578, norm of subgrad 1103.030548	dualbound = 2987650.389578, lowerbound=1215216.389578, norm of subgrad 39.622379	 stepsize= 1.000000 
-dualbound = 2987752.411224, lowerbound=1213372.411224, norm of subgrad 1102.150358	dualbound = 2987752.411224, lowerbound=1213372.411224, norm of subgrad 38.275601	 stepsize= 1.000000 
-dualbound = 2987927.453672, lowerbound=1215166.453672, norm of subgrad 1102.959860	dualbound = 2987927.453672, lowerbound=1215166.453672, norm of subgrad 39.102972	 stepsize= 1.000000 
-dualbound = 2988052.413635, lowerbound=1215481.413635, norm of subgrad 1103.091752	dualbound = 2988052.413635, lowerbound=1215481.413635, norm of subgrad 38.143937	 stepsize= 1.000000 
-dualbound = 2988158.225350, lowerbound=1213362.225350, norm of subgrad 1102.192463	dualbound = 2988158.225350, lowerbound=1213362.225350, norm of subgrad 39.646081	 stepsize= 1.000000 
-dualbound = 2988237.670560, lowerbound=1217327.670560, norm of subgrad 1103.967695	dualbound = 2988237.670560, lowerbound=1217327.670560, norm of subgrad 38.683914	 stepsize= 1.000000 
-dualbound = 2988420.466653, lowerbound=1212211.466653, norm of subgrad 1101.633999	dualbound = 2988420.466653, lowerbound=1212211.466653, norm of subgrad 39.608031	 stepsize= 1.000000 
-dualbound = 2988521.598756, lowerbound=1219395.598756, norm of subgrad 1104.888501	dualbound = 2988521.598756, lowerbound=1219395.598756, norm of subgrad 38.524435	 stepsize= 1.000000 
-dualbound = 2988656.546443, lowerbound=1214831.546443, norm of subgrad 1102.804854	dualbound = 2988656.546443, lowerbound=1214831.546443, norm of subgrad 38.496074	 stepsize= 1.000000 
-dualbound = 2988789.255803, lowerbound=1215834.255803, norm of subgrad 1103.275240	dualbound = 2988789.255803, lowerbound=1215834.255803, norm of subgrad 38.919267	 stepsize= 1.000000 
-dualbound = 2988906.288590, lowerbound=1210052.288590, norm of subgrad 1100.659933	dualbound = 2988906.288590, lowerbound=1210052.288590, norm of subgrad 38.949105	 stepsize= 1.000000 
-dualbound = 2989024.734377, lowerbound=1218689.734377, norm of subgrad 1104.594375	dualbound = 2989024.734377, lowerbound=1218689.734377, norm of subgrad 39.464488	 stepsize= 1.000000 
-dualbound = 2989168.485782, lowerbound=1214902.485782, norm of subgrad 1102.825682	dualbound = 2989168.485782, lowerbound=1214902.485782, norm of subgrad 38.285133	 stepsize= 1.000000 
-dualbound = 2989316.580342, lowerbound=1212562.580342, norm of subgrad 1101.791078	dualbound = 2989316.580342, lowerbound=1212562.580342, norm of subgrad 39.103639	 stepsize= 1.000000 
-dualbound = 2989412.920267, lowerbound=1217430.920267, norm of subgrad 1104.024873	dualbound = 2989412.920267, lowerbound=1217430.920267, norm of subgrad 39.196172	 stepsize= 1.000000 
-dualbound = 2989544.502200, lowerbound=1212220.502200, norm of subgrad 1101.608598	dualbound = 2989544.502200, lowerbound=1212220.502200, norm of subgrad 38.112753	 stepsize= 1.000000 
-dualbound = 2989694.316850, lowerbound=1215540.316850, norm of subgrad 1103.109386	dualbound = 2989694.316850, lowerbound=1215540.316850, norm of subgrad 38.207521	 stepsize= 1.000000 
-dualbound = 2989809.305066, lowerbound=1217506.305066, norm of subgrad 1104.009196	dualbound = 2989809.305066, lowerbound=1217506.305066, norm of subgrad 38.013001	 stepsize= 1.000000 
-dualbound = 2989939.930216, lowerbound=1210948.930216, norm of subgrad 1101.033574	dualbound = 2989939.930216, lowerbound=1210948.930216, norm of subgrad 38.165759	 stepsize= 1.000000 
-dualbound = 2990052.611893, lowerbound=1212672.611893, norm of subgrad 1101.822859	dualbound = 2990052.611893, lowerbound=1212672.611893, norm of subgrad 38.127178	 stepsize= 1.000000 
-dualbound = 2990186.164195, lowerbound=1213186.164195, norm of subgrad 1102.030020	dualbound = 2990186.164195, lowerbound=1213186.164195, norm of subgrad 37.650396	 stepsize= 1.000000 
-dualbound = 2990324.759046, lowerbound=1219115.759046, norm of subgrad 1104.773171	dualbound = 2990324.759046, lowerbound=1219115.759046, norm of subgrad 39.326770	 stepsize= 1.000000 
-dualbound = 2990399.054811, lowerbound=1215168.054811, norm of subgrad 1102.984159	dualbound = 2990399.054811, lowerbound=1215168.054811, norm of subgrad 38.474612	 stepsize= 1.000000 
-dualbound = 2990536.881564, lowerbound=1210540.881564, norm of subgrad 1100.883682	dualbound = 2990536.881564, lowerbound=1210540.881564, norm of subgrad 39.266102	 stepsize= 1.000000 
-dualbound = 2990651.574569, lowerbound=1215419.574569, norm of subgrad 1103.114035	dualbound = 2990651.574569, lowerbound=1215419.574569, norm of subgrad 39.442274	 stepsize= 1.000000 
-dualbound = 2990789.515913, lowerbound=1216875.515913, norm of subgrad 1103.771043	dualbound = 2990789.515913, lowerbound=1216875.515913, norm of subgrad 39.660325	 stepsize= 1.000000 
-dualbound = 2990905.620635, lowerbound=1213612.620635, norm of subgrad 1102.282913	dualbound = 2990905.620635, lowerbound=1213612.620635, norm of subgrad 39.129333	 stepsize= 1.000000 
-dualbound = 2991023.264998, lowerbound=1213866.264998, norm of subgrad 1102.398868	dualbound = 2991023.264998, lowerbound=1213866.264998, norm of subgrad 39.174537	 stepsize= 1.000000 
-dualbound = 2991160.433970, lowerbound=1216462.433970, norm of subgrad 1103.587529	dualbound = 2991160.433970, lowerbound=1216462.433970, norm of subgrad 39.751339	 stepsize= 1.000000 
-dualbound = 2991305.302285, lowerbound=1214926.302285, norm of subgrad 1102.850988	dualbound = 2991305.302285, lowerbound=1214926.302285, norm of subgrad 38.715221	 stepsize= 1.000000 
-dualbound = 2991424.442403, lowerbound=1214663.442403, norm of subgrad 1102.744958	dualbound = 2991424.442403, lowerbound=1214663.442403, norm of subgrad 38.757452	 stepsize= 1.000000 
-dualbound = 2991567.227568, lowerbound=1217825.227568, norm of subgrad 1104.184870	dualbound = 2991567.227568, lowerbound=1217825.227568, norm of subgrad 39.265572	 stepsize= 1.000000 
-dualbound = 2991676.453143, lowerbound=1211908.453143, norm of subgrad 1101.482389	dualbound = 2991676.453143, lowerbound=1211908.453143, norm of subgrad 38.265201	 stepsize= 1.000000 
-dualbound = 2991810.740336, lowerbound=1215216.740336, norm of subgrad 1102.994443	dualbound = 2991810.740336, lowerbound=1215216.740336, norm of subgrad 38.913843	 stepsize= 1.000000 
-dualbound = 2991921.771793, lowerbound=1215953.771793, norm of subgrad 1103.340279	dualbound = 2991921.771793, lowerbound=1215953.771793, norm of subgrad 38.949088	 stepsize= 1.000000 
-dualbound = 2992063.822314, lowerbound=1217903.822314, norm of subgrad 1104.204611	dualbound = 2992063.822314, lowerbound=1217903.822314, norm of subgrad 38.807867	 stepsize= 1.000000 
-dualbound = 2992155.681113, lowerbound=1212152.681113, norm of subgrad 1101.648166	dualbound = 2992155.681113, lowerbound=1212152.681113, norm of subgrad 39.596197	 stepsize= 1.000000 
-dualbound = 2992301.943313, lowerbound=1217814.943313, norm of subgrad 1104.185194	dualbound = 2992301.943313, lowerbound=1217814.943313, norm of subgrad 39.449489	 stepsize= 1.000000 
-dualbound = 2992427.873888, lowerbound=1214230.873888, norm of subgrad 1102.550168	dualbound = 2992427.873888, lowerbound=1214230.873888, norm of subgrad 38.883551	 stepsize= 1.000000 
-dualbound = 2992589.403886, lowerbound=1208894.403886, norm of subgrad 1100.106542	dualbound = 2992589.403886, lowerbound=1208894.403886, norm of subgrad 38.749581	 stepsize= 1.000000 
-dualbound = 2992686.892773, lowerbound=1216964.892773, norm of subgrad 1103.795222	dualbound = 2992686.892773, lowerbound=1216964.892773, norm of subgrad 38.684479	 stepsize= 1.000000 
-dualbound = 2992818.958794, lowerbound=1212775.958794, norm of subgrad 1101.912410	dualbound = 2992818.958794, lowerbound=1212775.958794, norm of subgrad 39.586185	 stepsize= 1.000000 
-dualbound = 2992932.259274, lowerbound=1215103.259274, norm of subgrad 1102.976999	dualbound = 2992932.259274, lowerbound=1215103.259274, norm of subgrad 39.601774	 stepsize= 1.000000 
-dualbound = 2993057.487996, lowerbound=1221669.487996, norm of subgrad 1105.926077	dualbound = 2993057.487996, lowerbound=1221669.487996, norm of subgrad 39.092566	 stepsize= 1.000000 
-dualbound = 2993232.063255, lowerbound=1215720.063255, norm of subgrad 1103.199467	dualbound = 2993232.063255, lowerbound=1215720.063255, norm of subgrad 38.775962	 stepsize= 1.000000 
-dualbound = 2993332.545815, lowerbound=1212164.545815, norm of subgrad 1101.629950	dualbound = 2993332.545815, lowerbound=1212164.545815, norm of subgrad 39.044623	 stepsize= 1.000000 
-dualbound = 2993439.792043, lowerbound=1215052.792043, norm of subgrad 1102.924654	dualbound = 2993439.792043, lowerbound=1215052.792043, norm of subgrad 38.694266	 stepsize= 1.000000 
-dualbound = 2993569.838194, lowerbound=1211695.838195, norm of subgrad 1101.401307	dualbound = 2993569.838194, lowerbound=1211695.838195, norm of subgrad 38.974943	 stepsize= 1.000000 
-dualbound = 2993700.461362, lowerbound=1214967.461362, norm of subgrad 1102.902290	dualbound = 2993700.461362, lowerbound=1214967.461362, norm of subgrad 39.454064	 stepsize= 1.000000 
-dualbound = 2993785.541117, lowerbound=1216193.541117, norm of subgrad 1103.449836	dualbound = 2993785.541117, lowerbound=1216193.541117, norm of subgrad 38.640390	 stepsize= 1.000000 
-dualbound = 2993945.066805, lowerbound=1215448.066805, norm of subgrad 1103.118338	dualbound = 2993945.066805, lowerbound=1215448.066805, norm of subgrad 39.768401	 stepsize= 1.000000 
-dualbound = 2994056.459347, lowerbound=1213859.459347, norm of subgrad 1102.367207	dualbound = 2994056.459347, lowerbound=1213859.459347, norm of subgrad 38.280446	 stepsize= 1.000000 
-dualbound = 2994204.958081, lowerbound=1221995.958081, norm of subgrad 1106.069599	dualbound = 2994204.958081, lowerbound=1221995.958081, norm of subgrad 39.274658	 stepsize= 1.000000 
-dualbound = 2994308.877926, lowerbound=1210618.877926, norm of subgrad 1100.920468	dualbound = 2994308.877926, lowerbound=1210618.877926, norm of subgrad 38.870552	 stepsize= 1.000000 
-dualbound = 2994451.312806, lowerbound=1213603.312806, norm of subgrad 1102.284588	dualbound = 2994451.312806, lowerbound=1213603.312806, norm of subgrad 39.628713	 stepsize= 1.000000 
-dualbound = 2994571.309121, lowerbound=1214788.309121, norm of subgrad 1102.794319	dualbound = 2994571.309121, lowerbound=1214788.309121, norm of subgrad 38.561591	 stepsize= 1.000000 
-dualbound = 2994723.296949, lowerbound=1220261.296949, norm of subgrad 1105.266618	dualbound = 2994723.296949, lowerbound=1220261.296949, norm of subgrad 38.794173	 stepsize= 1.000000 
-dualbound = 2994822.817627, lowerbound=1211888.817627, norm of subgrad 1101.450779	dualbound = 2994822.817627, lowerbound=1211888.817627, norm of subgrad 37.476935	 stepsize= 1.000000 
-dualbound = 2994978.497635, lowerbound=1215006.497635, norm of subgrad 1102.897773	dualbound = 2994978.497635, lowerbound=1215006.497635, norm of subgrad 39.149457	 stepsize= 1.000000 
-dualbound = 2995050.672230, lowerbound=1214244.672230, norm of subgrad 1102.566856	dualbound = 2995050.672230, lowerbound=1214244.672230, norm of subgrad 38.486031	 stepsize= 1.000000 
-dualbound = 2995211.768800, lowerbound=1217000.768800, norm of subgrad 1103.806491	dualbound = 2995211.768800, lowerbound=1217000.768800, norm of subgrad 39.358564	 stepsize= 1.000000 
-dualbound = 2995326.483843, lowerbound=1217420.483843, norm of subgrad 1104.007013	dualbound = 2995326.483843, lowerbound=1217420.483843, norm of subgrad 39.060402	 stepsize= 1.000000 
-dualbound = 2995454.506898, lowerbound=1216618.506898, norm of subgrad 1103.636492	dualbound = 2995454.506898, lowerbound=1216618.506898, norm of subgrad 39.025928	 stepsize= 1.000000 
-dualbound = 2995591.207899, lowerbound=1212647.207899, norm of subgrad 1101.839012	dualbound = 2995591.207899, lowerbound=1212647.207899, norm of subgrad 39.226279	 stepsize= 1.000000 
-dualbound = 2995707.118879, lowerbound=1214238.118879, norm of subgrad 1102.548012	dualbound = 2995707.118879, lowerbound=1214238.118879, norm of subgrad 38.599365	 stepsize= 1.000000 
-dualbound = 2995842.339948, lowerbound=1216276.339948, norm of subgrad 1103.480104	dualbound = 2995842.339948, lowerbound=1216276.339948, norm of subgrad 39.079676	 stepsize= 1.000000 
-dualbound = 2995983.798607, lowerbound=1213953.798607, norm of subgrad 1102.415892	dualbound = 2995983.798607, lowerbound=1213953.798607, norm of subgrad 38.838881	 stepsize= 1.000000 
-dualbound = 2996086.604506, lowerbound=1214151.604506, norm of subgrad 1102.513766	dualbound = 2996086.604506, lowerbound=1214151.604506, norm of subgrad 38.572087	 stepsize= 1.000000 
-dualbound = 2996220.773976, lowerbound=1211900.773976, norm of subgrad 1101.499784	dualbound = 2996220.773976, lowerbound=1211900.773976, norm of subgrad 39.181239	 stepsize= 1.000000 
-dualbound = 2996334.720569, lowerbound=1215314.720569, norm of subgrad 1103.036137	dualbound = 2996334.720569, lowerbound=1215314.720569, norm of subgrad 38.573911	 stepsize= 1.000000 
-dualbound = 2996465.245269, lowerbound=1218377.245269, norm of subgrad 1104.423037	dualbound = 2996465.245269, lowerbound=1218377.245269, norm of subgrad 38.775310	 stepsize= 1.000000 
-dualbound = 2996583.195117, lowerbound=1208899.195117, norm of subgrad 1100.157350	dualbound = 2996583.195117, lowerbound=1208899.195117, norm of subgrad 39.559447	 stepsize= 1.000000 
-dualbound = 2996704.935637, lowerbound=1218535.935637, norm of subgrad 1104.484466	dualbound = 2996704.935637, lowerbound=1218535.935637, norm of subgrad 38.363270	 stepsize= 1.000000 
-dualbound = 2996861.399480, lowerbound=1213957.399480, norm of subgrad 1102.407547	dualbound = 2996861.399480, lowerbound=1213957.399480, norm of subgrad 38.748727	 stepsize= 1.000000 
-dualbound = 2996979.958357, lowerbound=1214159.958357, norm of subgrad 1102.527532	dualbound = 2996979.958357, lowerbound=1214159.958357, norm of subgrad 39.058403	 stepsize= 1.000000 
-dualbound = 2997074.328230, lowerbound=1214887.328230, norm of subgrad 1102.872762	dualbound = 2997074.328230, lowerbound=1214887.328230, norm of subgrad 39.183796	 stepsize= 1.000000 
-dualbound = 2997206.750765, lowerbound=1217174.750765, norm of subgrad 1103.880768	dualbound = 2997206.750765, lowerbound=1217174.750765, norm of subgrad 38.864155	 stepsize= 1.000000 
-dualbound = 2997348.843912, lowerbound=1212700.843912, norm of subgrad 1101.862897	dualbound = 2997348.843912, lowerbound=1212700.843912, norm of subgrad 39.282224	 stepsize= 1.000000 
-dualbound = 2997475.890528, lowerbound=1214203.890528, norm of subgrad 1102.564234	dualbound = 2997475.890528, lowerbound=1214203.890528, norm of subgrad 39.636430	 stepsize= 1.000000 
-dualbound = 2997562.522028, lowerbound=1215818.522028, norm of subgrad 1103.285784	dualbound = 2997562.522028, lowerbound=1215818.522028, norm of subgrad 38.828231	 stepsize= 1.000000 
-dualbound = 2997733.554987, lowerbound=1216332.554987, norm of subgrad 1103.490623	dualbound = 2997733.554987, lowerbound=1216332.554987, norm of subgrad 39.115636	 stepsize= 1.000000 
-dualbound = 2997846.937931, lowerbound=1215454.937931, norm of subgrad 1103.096976	dualbound = 2997846.937931, lowerbound=1215454.937931, norm of subgrad 38.488738	 stepsize= 1.000000 
-dualbound = 2997995.273393, lowerbound=1211736.273393, norm of subgrad 1101.431466	dualbound = 2997995.273393, lowerbound=1211736.273393, norm of subgrad 39.539037	 stepsize= 1.000000 
-dualbound = 2998084.188834, lowerbound=1216316.188834, norm of subgrad 1103.508128	dualbound = 2998084.188834, lowerbound=1216316.188834, norm of subgrad 38.767453	 stepsize= 1.000000 
-dualbound = 2998250.126023, lowerbound=1216009.126023, norm of subgrad 1103.319141	dualbound = 2998250.126023, lowerbound=1216009.126023, norm of subgrad 38.339760	 stepsize= 1.000000 
-dualbound = 2998355.242839, lowerbound=1219879.242839, norm of subgrad 1105.100558	dualbound = 2998355.242839, lowerbound=1219879.242839, norm of subgrad 38.381204	 stepsize= 1.000000 
-dualbound = 2998469.414272, lowerbound=1212690.414272, norm of subgrad 1101.883576	dualbound = 2998469.414272, lowerbound=1212690.414272, norm of subgrad 39.638005	 stepsize= 1.000000 
-dualbound = 2998597.615936, lowerbound=1217231.615936, norm of subgrad 1103.899278	dualbound = 2998597.615936, lowerbound=1217231.615936, norm of subgrad 38.603130	 stepsize= 1.000000 
-dualbound = 2998703.949437, lowerbound=1217692.949437, norm of subgrad 1104.133574	dualbound = 2998703.949437, lowerbound=1217692.949437, norm of subgrad 39.042714	 stepsize= 1.000000 
-dualbound = 2998834.434891, lowerbound=1215739.434891, norm of subgrad 1103.217764	dualbound = 2998834.434891, lowerbound=1215739.434891, norm of subgrad 38.477077	 stepsize= 1.000000 
-dualbound = 2998985.875127, lowerbound=1216911.875127, norm of subgrad 1103.750368	dualbound = 2998985.875127, lowerbound=1216911.875127, norm of subgrad 38.787114	 stepsize= 1.000000 
-dualbound = 2999084.741198, lowerbound=1212565.741198, norm of subgrad 1101.772091	dualbound = 2999084.741198, lowerbound=1212565.741198, norm of subgrad 37.879626	 stepsize= 1.000000 
-dualbound = 2999260.885023, lowerbound=1216712.885023, norm of subgrad 1103.643459	dualbound = 2999260.885023, lowerbound=1216712.885023, norm of subgrad 38.628278	 stepsize= 1.000000 
-dualbound = 2999341.237943, lowerbound=1208403.237943, norm of subgrad 1099.915105	dualbound = 2999341.237943, lowerbound=1208403.237943, norm of subgrad 38.605089	 stepsize= 1.000000 
-dualbound = 2999451.182825, lowerbound=1215129.182825, norm of subgrad 1102.983764	dualbound = 2999451.182825, lowerbound=1215129.182825, norm of subgrad 39.420108	 stepsize= 1.000000 
-dualbound = 2999582.429062, lowerbound=1219691.429062, norm of subgrad 1105.018746	dualbound = 2999582.429062, lowerbound=1219691.429062, norm of subgrad 38.810388	 stepsize= 1.000000 
-dualbound = 2999731.421385, lowerbound=1213836.421385, norm of subgrad 1102.354943	dualbound = 2999731.421385, lowerbound=1213836.421385, norm of subgrad 38.716822	 stepsize= 1.000000 
-dualbound = 2999844.131104, lowerbound=1215856.131104, norm of subgrad 1103.263854	dualbound = 2999844.131104, lowerbound=1215856.131104, norm of subgrad 38.048781	 stepsize= 1.000000 
-dualbound = 2999986.552350, lowerbound=1218260.552350, norm of subgrad 1104.373828	dualbound = 2999986.552350, lowerbound=1218260.552350, norm of subgrad 39.031029	 stepsize= 1.000000 
-dualbound = 3000112.563789, lowerbound=1211277.563789, norm of subgrad 1101.195516	dualbound = 3000112.563789, lowerbound=1211277.563789, norm of subgrad 38.470917	 stepsize= 1.000000 
-dualbound = 3000211.101098, lowerbound=1214181.101098, norm of subgrad 1102.514445	dualbound = 3000211.101098, lowerbound=1214181.101098, norm of subgrad 38.151505	 stepsize= 1.000000 
-dualbound = 3000351.982286, lowerbound=1217566.982286, norm of subgrad 1104.033959	dualbound = 3000351.982286, lowerbound=1217566.982286, norm of subgrad 38.273766	 stepsize= 1.000000 
-dualbound = 3000484.488119, lowerbound=1216943.488119, norm of subgrad 1103.763330	dualbound = 3000484.488119, lowerbound=1216943.488119, norm of subgrad 38.503322	 stepsize= 1.000000 
-dualbound = 3000607.063895, lowerbound=1216791.063895, norm of subgrad 1103.696998	dualbound = 3000607.063895, lowerbound=1216791.063895, norm of subgrad 38.452253	 stepsize= 1.000000 
-dualbound = 3000758.413983, lowerbound=1214154.413983, norm of subgrad 1102.515494	dualbound = 3000758.413983, lowerbound=1214154.413983, norm of subgrad 39.209056	 stepsize= 1.000000 
-dualbound = 3000844.434813, lowerbound=1213252.434813, norm of subgrad 1102.134490	dualbound = 3000844.434813, lowerbound=1213252.434813, norm of subgrad 39.166578	 stepsize= 1.000000 
-dualbound = 3000971.289288, lowerbound=1211036.289288, norm of subgrad 1101.125465	dualbound = 3000971.289288, lowerbound=1211036.289288, norm of subgrad 39.596142	 stepsize= 1.000000 
-dualbound = 3001079.705918, lowerbound=1217375.705918, norm of subgrad 1104.003490	dualbound = 3001079.705918, lowerbound=1217375.705918, norm of subgrad 39.451446	 stepsize= 1.000000 
-dualbound = 3001200.179501, lowerbound=1215503.179501, norm of subgrad 1103.135612	dualbound = 3001200.179501, lowerbound=1215503.179501, norm of subgrad 39.057312	 stepsize= 1.000000 
-dualbound = 3001347.676489, lowerbound=1216147.676489, norm of subgrad 1103.414553	dualbound = 3001347.676489, lowerbound=1216147.676489, norm of subgrad 39.032000	 stepsize= 1.000000 
-dualbound = 3001493.572042, lowerbound=1215367.572042, norm of subgrad 1103.042870	dualbound = 3001493.572042, lowerbound=1215367.572042, norm of subgrad 38.495397	 stepsize= 1.000000 
-dualbound = 3001586.914051, lowerbound=1216708.914051, norm of subgrad 1103.657517	dualbound = 3001586.914051, lowerbound=1216708.914051, norm of subgrad 38.004500	 stepsize= 1.000000 
-dualbound = 3001727.462324, lowerbound=1219505.462324, norm of subgrad 1104.943647	dualbound = 3001727.462324, lowerbound=1219505.462324, norm of subgrad 39.186072	 stepsize= 1.000000 
-dualbound = 3001832.506327, lowerbound=1217282.506327, norm of subgrad 1103.950409	dualbound = 3001832.506327, lowerbound=1217282.506327, norm of subgrad 39.102992	 stepsize= 1.000000 
-dualbound = 3001958.530205, lowerbound=1210722.530205, norm of subgrad 1100.943473	dualbound = 3001958.530205, lowerbound=1210722.530205, norm of subgrad 38.471078	 stepsize= 1.000000 
-dualbound = 3002101.827850, lowerbound=1216873.827850, norm of subgrad 1103.751706	dualbound = 3002101.827850, lowerbound=1216873.827850, norm of subgrad 39.208387	 stepsize= 1.000000 
-dualbound = 3002222.603364, lowerbound=1216645.603364, norm of subgrad 1103.628834	dualbound = 3002222.603364, lowerbound=1216645.603364, norm of subgrad 38.363727	 stepsize= 1.000000 
-dualbound = 3002359.943421, lowerbound=1213986.943421, norm of subgrad 1102.413236	dualbound = 3002359.943421, lowerbound=1213986.943421, norm of subgrad 38.279760	 stepsize= 1.000000 
-dualbound = 3002475.876414, lowerbound=1208491.876414, norm of subgrad 1099.898121	dualbound = 3002475.876414, lowerbound=1208491.876414, norm of subgrad 37.415678	 stepsize= 1.000000 
-dualbound = 3002614.910944, lowerbound=1221441.910944, norm of subgrad 1105.803288	dualbound = 3002614.910944, lowerbound=1221441.910944, norm of subgrad 38.704451	 stepsize= 1.000000 
-dualbound = 3002730.682976, lowerbound=1214816.682976, norm of subgrad 1102.793581	dualbound = 3002730.682976, lowerbound=1214816.682976, norm of subgrad 38.115247	 stepsize= 1.000000 
-dualbound = 3002861.744237, lowerbound=1212708.744237, norm of subgrad 1101.851507	dualbound = 3002861.744237, lowerbound=1212708.744237, norm of subgrad 38.717713	 stepsize= 1.000000 
-dualbound = 3002984.924156, lowerbound=1215721.924156, norm of subgrad 1103.227503	dualbound = 3002984.924156, lowerbound=1215721.924156, norm of subgrad 38.886758	 stepsize= 1.000000 
-dualbound = 3003102.485008, lowerbound=1210893.485008, norm of subgrad 1101.044724	dualbound = 3003102.485008, lowerbound=1210893.485008, norm of subgrad 39.032818	 stepsize= 1.000000 
-dualbound = 3003218.733117, lowerbound=1216097.733117, norm of subgrad 1103.432251	dualbound = 3003218.733117, lowerbound=1216097.733117, norm of subgrad 39.764911	 stepsize= 1.000000 
-dualbound = 3003327.506975, lowerbound=1219656.506975, norm of subgrad 1105.000229	dualbound = 3003327.506975, lowerbound=1219656.506975, norm of subgrad 38.441824	 stepsize= 1.000000 
-dualbound = 3003483.780456, lowerbound=1214439.780456, norm of subgrad 1102.644449	dualbound = 3003483.780456, lowerbound=1214439.780456, norm of subgrad 39.259056	 stepsize= 1.000000 
-dualbound = 3003611.527310, lowerbound=1216097.527310, norm of subgrad 1103.380953	dualbound = 3003611.527310, lowerbound=1216097.527310, norm of subgrad 38.467478	 stepsize= 1.000000 
-dualbound = 3003739.793203, lowerbound=1215520.793203, norm of subgrad 1103.125466	dualbound = 3003739.793203, lowerbound=1215520.793203, norm of subgrad 38.642799	 stepsize= 1.000000 
-dualbound = 3003878.156010, lowerbound=1213069.156010, norm of subgrad 1102.039544	dualbound = 3003878.156010, lowerbound=1213069.156010, norm of subgrad 39.501428	 stepsize= 1.000000 
-dualbound = 3003949.285963, lowerbound=1215074.285963, norm of subgrad 1102.964771	dualbound = 3003949.285963, lowerbound=1215074.285963, norm of subgrad 39.091303	 stepsize= 1.000000 
-dualbound = 3004118.448967, lowerbound=1214241.448967, norm of subgrad 1102.556778	dualbound = 3004118.448967, lowerbound=1214241.448967, norm of subgrad 39.486238	 stepsize= 1.000000 
-dualbound = 3004221.482124, lowerbound=1213249.482124, norm of subgrad 1102.135873	dualbound = 3004221.482124, lowerbound=1213249.482124, norm of subgrad 39.459259	 stepsize= 1.000000 
-dualbound = 3004350.660328, lowerbound=1216148.660328, norm of subgrad 1103.404577	dualbound = 3004350.660328, lowerbound=1216148.660328, norm of subgrad 38.499068	 stepsize= 1.000000 
-dualbound = 3004492.995414, lowerbound=1214499.995414, norm of subgrad 1102.668579	dualbound = 3004492.995414, lowerbound=1214499.995414, norm of subgrad 38.991475	 stepsize= 1.000000 
-dualbound = 3004610.450023, lowerbound=1220200.450023, norm of subgrad 1105.249044	dualbound = 3004610.450023, lowerbound=1220200.450023, norm of subgrad 38.632300	 stepsize= 1.000000 
-dualbound = 3004747.800241, lowerbound=1213627.800241, norm of subgrad 1102.250335	dualbound = 3004747.800241, lowerbound=1213627.800241, norm of subgrad 38.279893	 stepsize= 1.000000 
-dualbound = 3004882.289288, lowerbound=1220145.289288, norm of subgrad 1105.203732	dualbound = 3004882.289288, lowerbound=1220145.289288, norm of subgrad 38.268643	 stepsize= 1.000000 
-dualbound = 3004996.990137, lowerbound=1214941.990137, norm of subgrad 1102.811856	dualbound = 3004996.990137, lowerbound=1214941.990137, norm of subgrad 36.968917	 stepsize= 1.000000 
-dualbound = 3005125.247512, lowerbound=1214698.247512, norm of subgrad 1102.740335	dualbound = 3005125.247512, lowerbound=1214698.247512, norm of subgrad 38.291740	 stepsize= 1.000000 
-dualbound = 3005224.306942, lowerbound=1215021.306942, norm of subgrad 1102.929421	dualbound = 3005224.306942, lowerbound=1215021.306942, norm of subgrad 39.128755	 stepsize= 1.000000 
-dualbound = 3005357.002546, lowerbound=1217243.002546, norm of subgrad 1103.897641	dualbound = 3005357.002546, lowerbound=1217243.002546, norm of subgrad 38.466812	 stepsize= 1.000000 
-dualbound = 3005483.272530, lowerbound=1212671.272530, norm of subgrad 1101.844940	dualbound = 3005483.272530, lowerbound=1212671.272530, norm of subgrad 38.952150	 stepsize= 1.000000 
-dualbound = 3005604.514336, lowerbound=1216141.514336, norm of subgrad 1103.391370	dualbound = 3005604.514336, lowerbound=1216141.514336, norm of subgrad 38.108291	 stepsize= 1.000000 
-dualbound = 3005759.688385, lowerbound=1216409.688385, norm of subgrad 1103.512885	dualbound = 3005759.688385, lowerbound=1216409.688385, norm of subgrad 38.550928	 stepsize= 1.000000 
-dualbound = 3005858.888026, lowerbound=1214064.888026, norm of subgrad 1102.487137	dualbound = 3005858.888026, lowerbound=1214064.888026, norm of subgrad 38.887011	 stepsize= 1.000000 
-dualbound = 3005974.804199, lowerbound=1214119.804199, norm of subgrad 1102.496623	dualbound = 3005974.804199, lowerbound=1214119.804199, norm of subgrad 38.664146	 stepsize= 1.000000 
-dualbound = 3006117.853926, lowerbound=1218807.853926, norm of subgrad 1104.614799	dualbound = 3006117.853926, lowerbound=1218807.853926, norm of subgrad 38.846489	 stepsize= 1.000000 
-dualbound = 3006239.815587, lowerbound=1213409.815587, norm of subgrad 1102.167326	dualbound = 3006239.815587, lowerbound=1213409.815587, norm of subgrad 38.535200	 stepsize= 1.000000 
-dualbound = 3006352.176133, lowerbound=1216478.176133, norm of subgrad 1103.608253	dualbound = 3006352.176133, lowerbound=1216478.176133, norm of subgrad 39.816586	 stepsize= 1.000000 
-dualbound = 3006459.924697, lowerbound=1214658.924697, norm of subgrad 1102.762406	dualbound = 3006459.924697, lowerbound=1214658.924697, norm of subgrad 39.163102	 stepsize= 1.000000 
-dualbound = 3006618.936986, lowerbound=1222322.936986, norm of subgrad 1106.177173	dualbound = 3006618.936986, lowerbound=1222322.936986, norm of subgrad 38.262414	 stepsize= 1.000000 
-dualbound = 3006751.841769, lowerbound=1213462.841769, norm of subgrad 1102.185484	dualbound = 3006751.841769, lowerbound=1213462.841769, norm of subgrad 38.508503	 stepsize= 1.000000 
-dualbound = 3006887.443489, lowerbound=1216611.443489, norm of subgrad 1103.605203	dualbound = 3006887.443489, lowerbound=1216611.443489, norm of subgrad 38.322340	 stepsize= 1.000000 
-dualbound = 3007003.831769, lowerbound=1215720.831769, norm of subgrad 1103.210239	dualbound = 3007003.831769, lowerbound=1215720.831769, norm of subgrad 38.319555	 stepsize= 1.000000 
-dualbound = 3007116.089212, lowerbound=1213102.089212, norm of subgrad 1102.020458	dualbound = 3007116.089212, lowerbound=1213102.089212, norm of subgrad 38.200228	 stepsize= 1.000000 
-dualbound = 3007250.846038, lowerbound=1215462.846038, norm of subgrad 1103.096481	dualbound = 3007250.846038, lowerbound=1215462.846038, norm of subgrad 38.649150	 stepsize= 1.000000 
-dualbound = 3007350.074917, lowerbound=1214943.074917, norm of subgrad 1102.909368	dualbound = 3007350.074917, lowerbound=1214943.074917, norm of subgrad 39.562974	 stepsize= 1.000000 
-dualbound = 3007491.509216, lowerbound=1213944.509216, norm of subgrad 1102.447509	dualbound = 3007491.509216, lowerbound=1213944.509216, norm of subgrad 39.842619	 stepsize= 1.000000 
-dualbound = 3007600.961215, lowerbound=1218094.961215, norm of subgrad 1104.320135	dualbound = 3007600.961215, lowerbound=1218094.961215, norm of subgrad 39.210356	 stepsize= 1.000000 
-dualbound = 3007741.425832, lowerbound=1211999.425832, norm of subgrad 1101.511428	dualbound = 3007741.425832, lowerbound=1211999.425832, norm of subgrad 38.320551	 stepsize= 1.000000 
-dualbound = 3007887.980980, lowerbound=1215729.980980, norm of subgrad 1103.189912	dualbound = 3007887.980980, lowerbound=1215729.980980, norm of subgrad 38.007304	 stepsize= 1.000000 
-dualbound = 3008021.010473, lowerbound=1215783.010473, norm of subgrad 1103.257908	dualbound = 3008021.010473, lowerbound=1215783.010473, norm of subgrad 39.090018	 stepsize= 1.000000 
-dualbound = 3008094.483856, lowerbound=1214399.483856, norm of subgrad 1102.632524	dualbound = 3008094.483856, lowerbound=1214399.483856, norm of subgrad 38.372821	 stepsize= 1.000000 
-dualbound = 3008255.873738, lowerbound=1215350.873738, norm of subgrad 1103.036660	dualbound = 3008255.873738, lowerbound=1215350.873738, norm of subgrad 38.734866	 stepsize= 1.000000 
-dualbound = 3008398.160124, lowerbound=1216067.160124, norm of subgrad 1103.349065	dualbound = 3008398.160124, lowerbound=1216067.160124, norm of subgrad 38.135107	 stepsize= 1.000000 
-dualbound = 3008512.646310, lowerbound=1217492.646310, norm of subgrad 1104.040600	dualbound = 3008512.646310, lowerbound=1217492.646310, norm of subgrad 39.083068	 stepsize= 1.000000 
-dualbound = 3008612.201392, lowerbound=1212122.201392, norm of subgrad 1101.573965	dualbound = 3008612.201392, lowerbound=1212122.201392, norm of subgrad 37.980983	 stepsize= 1.000000 
-dualbound = 3008749.145934, lowerbound=1219339.145934, norm of subgrad 1104.854355	dualbound = 3008749.145934, lowerbound=1219339.145934, norm of subgrad 38.742026	 stepsize= 1.000000 
-dualbound = 3008887.468222, lowerbound=1215207.468222, norm of subgrad 1102.961227	dualbound = 3008887.468222, lowerbound=1215207.468222, norm of subgrad 38.135578	 stepsize= 1.000000 
-dualbound = 3009015.145334, lowerbound=1219167.145334, norm of subgrad 1104.815435	dualbound = 3009015.145334, lowerbound=1219167.145334, norm of subgrad 39.719984	 stepsize= 1.000000 
-dualbound = 3009120.499546, lowerbound=1217482.499546, norm of subgrad 1104.012454	dualbound = 3009120.499546, lowerbound=1217482.499546, norm of subgrad 38.293005	 stepsize= 1.000000 
-dualbound = 3009246.099988, lowerbound=1215461.099988, norm of subgrad 1103.117446	dualbound = 3009246.099988, lowerbound=1215461.099988, norm of subgrad 39.148441	 stepsize= 1.000000 
-dualbound = 3009386.938657, lowerbound=1213065.938657, norm of subgrad 1102.008139	dualbound = 3009386.938657, lowerbound=1213065.938657, norm of subgrad 38.688999	 stepsize= 1.000000 
-dualbound = 3009492.694063, lowerbound=1214517.694063, norm of subgrad 1102.697916	dualbound = 3009492.694063, lowerbound=1214517.694063, norm of subgrad 39.124869	 stepsize= 1.000000 
-dualbound = 3009598.412324, lowerbound=1213665.412324, norm of subgrad 1102.317746	dualbound = 3009598.412324, lowerbound=1213665.412324, norm of subgrad 39.302904	 stepsize= 1.000000 
-dualbound = 3009724.429383, lowerbound=1217030.429383, norm of subgrad 1103.813585	dualbound = 3009724.429383, lowerbound=1217030.429383, norm of subgrad 38.730054	 stepsize= 1.000000 
-dualbound = 3009879.793345, lowerbound=1218350.793345, norm of subgrad 1104.377106	dualbound = 3009879.793345, lowerbound=1218350.793345, norm of subgrad 38.123011	 stepsize= 1.000000 
-dualbound = 3010038.857865, lowerbound=1215822.857865, norm of subgrad 1103.250587	dualbound = 3010038.857865, lowerbound=1215822.857865, norm of subgrad 38.704838	 stepsize= 1.000000 
-dualbound = 3010131.351587, lowerbound=1214273.351587, norm of subgrad 1102.581676	dualbound = 3010131.351587, lowerbound=1214273.351587, norm of subgrad 38.800692	 stepsize= 1.000000 
-dualbound = 3010225.903199, lowerbound=1216401.903199, norm of subgrad 1103.530200	dualbound = 3010225.903199, lowerbound=1216401.903199, norm of subgrad 38.360808	 stepsize= 1.000000 
-dualbound = 3010386.206647, lowerbound=1213457.206647, norm of subgrad 1102.167050	dualbound = 3010386.206647, lowerbound=1213457.206647, norm of subgrad 38.409679	 stepsize= 1.000000 
-dualbound = 3010514.375510, lowerbound=1217508.375510, norm of subgrad 1104.035043	dualbound = 3010514.375510, lowerbound=1217508.375510, norm of subgrad 38.899471	 stepsize= 1.000000 
-dualbound = 3010609.484106, lowerbound=1212208.484106, norm of subgrad 1101.626744	dualbound = 3010609.484106, lowerbound=1212208.484106, norm of subgrad 38.315905	 stepsize= 1.000000 
-dualbound = 3010749.899234, lowerbound=1219973.899234, norm of subgrad 1105.123929	dualbound = 3010749.899234, lowerbound=1219973.899234, norm of subgrad 38.280741	 stepsize= 1.000000 
-dualbound = 3010907.162487, lowerbound=1217970.162487, norm of subgrad 1104.213821	dualbound = 3010907.162487, lowerbound=1217970.162487, norm of subgrad 38.409156	 stepsize= 1.000000 
-dualbound = 3010996.770350, lowerbound=1214340.770350, norm of subgrad 1102.611341	dualbound = 3010996.770350, lowerbound=1214340.770350, norm of subgrad 38.737680	 stepsize= 1.000000 
-dualbound = 3011121.544471, lowerbound=1213849.544471, norm of subgrad 1102.350917	dualbound = 3011121.544471, lowerbound=1213849.544471, norm of subgrad 38.115274	 stepsize= 1.000000 
-dualbound = 3011269.736898, lowerbound=1217252.736898, norm of subgrad 1103.871703	dualbound = 3011269.736898, lowerbound=1217252.736898, norm of subgrad 37.791433	 stepsize= 1.000000 
-dualbound = 3011417.116994, lowerbound=1214744.116994, norm of subgrad 1102.769295	dualbound = 3011417.116994, lowerbound=1214744.116994, norm of subgrad 38.773446	 stepsize= 1.000000 
-dualbound = 3011500.236693, lowerbound=1216001.236693, norm of subgrad 1103.346381	dualbound = 3011500.236693, lowerbound=1216001.236693, norm of subgrad 38.146031	 stepsize= 1.000000 
-dualbound = 3011614.962998, lowerbound=1213511.962998, norm of subgrad 1102.234532	dualbound = 3011614.962998, lowerbound=1213511.962998, norm of subgrad 39.034937	 stepsize= 1.000000 
-dualbound = 3011755.004409, lowerbound=1218383.004409, norm of subgrad 1104.445112	dualbound = 3011755.004409, lowerbound=1218383.004409, norm of subgrad 39.446691	 stepsize= 1.000000 
-dualbound = 3011875.490566, lowerbound=1216289.490566, norm of subgrad 1103.489234	dualbound = 3011875.490566, lowerbound=1216289.490566, norm of subgrad 38.980587	 stepsize= 1.000000 
-dualbound = 3011988.114401, lowerbound=1215156.114401, norm of subgrad 1103.004585	dualbound = 3011988.114401, lowerbound=1215156.114401, norm of subgrad 39.694128	 stepsize= 1.000000 
-dualbound = 3012098.768451, lowerbound=1217255.768451, norm of subgrad 1103.939205	dualbound = 3012098.768451, lowerbound=1217255.768451, norm of subgrad 39.200179	 stepsize= 1.000000 
-dualbound = 3012247.785319, lowerbound=1214031.785319, norm of subgrad 1102.460786	dualbound = 3012247.785319, lowerbound=1214031.785319, norm of subgrad 39.204807	 stepsize= 1.000000 
-dualbound = 3012399.924359, lowerbound=1221237.924359, norm of subgrad 1105.685274	dualbound = 3012399.924359, lowerbound=1221237.924359, norm of subgrad 38.133175	 stepsize= 1.000000 
-dualbound = 3012524.161192, lowerbound=1212020.161192, norm of subgrad 1101.539904	dualbound = 3012524.161192, lowerbound=1212020.161192, norm of subgrad 38.655360	 stepsize= 1.000000 
-dualbound = 3012618.330821, lowerbound=1210443.330821, norm of subgrad 1100.809852	dualbound = 3012618.330821, lowerbound=1210443.330821, norm of subgrad 37.857227	 stepsize= 1.000000 
-dualbound = 3012776.742772, lowerbound=1219290.742772, norm of subgrad 1104.809369	dualbound = 3012776.742772, lowerbound=1219290.742772, norm of subgrad 38.358988	 stepsize= 1.000000 
-dualbound = 3012891.308890, lowerbound=1213637.308890, norm of subgrad 1102.286854	dualbound = 3012891.308890, lowerbound=1213637.308890, norm of subgrad 38.904577	 stepsize= 1.000000 
-dualbound = 3013013.638789, lowerbound=1213236.638789, norm of subgrad 1102.098743	dualbound = 3013013.638789, lowerbound=1213236.638789, norm of subgrad 38.824347	 stepsize= 1.000000 
-dualbound = 3013120.007781, lowerbound=1216815.007781, norm of subgrad 1103.728684	dualbound = 3013120.007781, lowerbound=1216815.007781, norm of subgrad 38.837726	 stepsize= 1.000000 
-dualbound = 3013251.264909, lowerbound=1217996.264909, norm of subgrad 1104.247828	dualbound = 3013251.264909, lowerbound=1217996.264909, norm of subgrad 38.707327	 stepsize= 1.000000 
-dualbound = 3013389.671977, lowerbound=1222478.671977, norm of subgrad 1106.274682	dualbound = 3013389.671977, lowerbound=1222478.671977, norm of subgrad 38.773794	 stepsize= 1.000000 
-dualbound = 3013525.532850, lowerbound=1215199.532850, norm of subgrad 1103.009761	dualbound = 3013525.532850, lowerbound=1215199.532850, norm of subgrad 39.583593	 stepsize= 1.000000 
-dualbound = 3013601.755853, lowerbound=1218886.755853, norm of subgrad 1104.645987	dualbound = 3013601.755853, lowerbound=1218886.755853, norm of subgrad 37.844722	 stepsize= 1.000000 
-dualbound = 3013755.969568, lowerbound=1212783.969568, norm of subgrad 1101.876114	dualbound = 3013755.969568, lowerbound=1212783.969568, norm of subgrad 38.745499	 stepsize= 1.000000 
-dualbound = 3013876.303810, lowerbound=1218642.303810, norm of subgrad 1104.505909	dualbound = 3013876.303810, lowerbound=1218642.303810, norm of subgrad 37.567729	 stepsize= 1.000000 
-dualbound = 3014011.986216, lowerbound=1214758.986216, norm of subgrad 1102.759260	dualbound = 3014011.986216, lowerbound=1214758.986216, norm of subgrad 38.140299	 stepsize= 1.000000 
-dualbound = 3014115.482118, lowerbound=1220839.482118, norm of subgrad 1105.568850	dualbound = 3014115.482118, lowerbound=1220839.482118, norm of subgrad 39.325512	 stepsize= 1.000000 
-dualbound = 3014215.040206, lowerbound=1210772.040206, norm of subgrad 1100.989573	dualbound = 3014215.040206, lowerbound=1210772.040206, norm of subgrad 38.801522	 stepsize= 1.000000 
-dualbound = 3014362.695813, lowerbound=1220942.695813, norm of subgrad 1105.596082	dualbound = 3014362.695813, lowerbound=1220942.695813, norm of subgrad 39.340254	 stepsize= 1.000000 
-dualbound = 3014473.847160, lowerbound=1212057.847160, norm of subgrad 1101.551564	dualbound = 3014473.847160, lowerbound=1212057.847160, norm of subgrad 38.329510	 stepsize= 1.000000 
-dualbound = 3014617.065107, lowerbound=1221872.065107, norm of subgrad 1106.009975	dualbound = 3014617.065107, lowerbound=1221872.065107, norm of subgrad 39.105216	 stepsize= 1.000000 
-dualbound = 3014730.917302, lowerbound=1212571.917302, norm of subgrad 1101.797585	dualbound = 3014730.917302, lowerbound=1212571.917302, norm of subgrad 38.727925	 stepsize= 1.000000 
-dualbound = 3014861.540342, lowerbound=1220913.540342, norm of subgrad 1105.605961	dualbound = 3014861.540342, lowerbound=1220913.540342, norm of subgrad 39.769625	 stepsize= 1.000000 
-dualbound = 3014990.063428, lowerbound=1210524.063428, norm of subgrad 1100.852880	dualbound = 3014990.063428, lowerbound=1210524.063428, norm of subgrad 38.490558	 stepsize= 1.000000 
-dualbound = 3015115.989825, lowerbound=1220071.989825, norm of subgrad 1105.206763	dualbound = 3015115.989825, lowerbound=1220071.989825, norm of subgrad 39.190897	 stepsize= 1.000000 
-dualbound = 3015242.085318, lowerbound=1215963.085318, norm of subgrad 1103.309152	dualbound = 3015242.085318, lowerbound=1215963.085318, norm of subgrad 38.132604	 stepsize= 1.000000 
-dualbound = 3015406.540924, lowerbound=1215700.540924, norm of subgrad 1103.206482	dualbound = 3015406.540924, lowerbound=1215700.540924, norm of subgrad 39.095468	 stepsize= 1.000000 
-dualbound = 3015490.223633, lowerbound=1213202.223633, norm of subgrad 1102.076324	dualbound = 3015490.223633, lowerbound=1213202.223633, norm of subgrad 38.127191	 stepsize= 1.000000 
-dualbound = 3015622.246977, lowerbound=1219449.246977, norm of subgrad 1104.889246	dualbound = 3015622.246977, lowerbound=1219449.246977, norm of subgrad 38.249488	 stepsize= 1.000000 
-dualbound = 3015752.101922, lowerbound=1215646.101922, norm of subgrad 1103.184074	dualbound = 3015752.101922, lowerbound=1215646.101922, norm of subgrad 38.715048	 stepsize= 1.000000 
-dualbound = 3015888.021426, lowerbound=1221202.021426, norm of subgrad 1105.686674	dualbound = 3015888.021426, lowerbound=1221202.021426, norm of subgrad 38.430710	 stepsize= 1.000000 
-dualbound = 3015989.643223, lowerbound=1216026.643223, norm of subgrad 1103.370130	dualbound = 3015989.643223, lowerbound=1216026.643223, norm of subgrad 38.737860	 stepsize= 1.000000 
-dualbound = 3016095.460683, lowerbound=1217450.460683, norm of subgrad 1104.027382	dualbound = 3016095.460683, lowerbound=1217450.460683, norm of subgrad 39.138440	 stepsize= 1.000000 
-dualbound = 3016224.249400, lowerbound=1214006.249400, norm of subgrad 1102.424714	dualbound = 3016224.249400, lowerbound=1214006.249400, norm of subgrad 38.246421	 stepsize= 1.000000 
-dualbound = 3016373.258714, lowerbound=1215800.258714, norm of subgrad 1103.232187	dualbound = 3016373.258714, lowerbound=1215800.258714, norm of subgrad 38.340700	 stepsize= 1.000000 
-dualbound = 3016460.327804, lowerbound=1216955.327804, norm of subgrad 1103.794060	dualbound = 3016460.327804, lowerbound=1216955.327804, norm of subgrad 38.640252	 stepsize= 1.000000 
-dualbound = 3016583.799910, lowerbound=1220681.799910, norm of subgrad 1105.468588	dualbound = 3016583.799910, lowerbound=1220681.799910, norm of subgrad 38.761735	 stepsize= 1.000000 
-dualbound = 3016700.915403, lowerbound=1213830.915403, norm of subgrad 1102.374671	dualbound = 3016700.915403, lowerbound=1213830.915403, norm of subgrad 38.937328	 stepsize= 1.000000 
-dualbound = 3016833.526833, lowerbound=1218338.526833, norm of subgrad 1104.427239	dualbound = 3016833.526833, lowerbound=1218338.526833, norm of subgrad 39.415878	 stepsize= 1.000000 
-dualbound = 3016963.599082, lowerbound=1212665.599082, norm of subgrad 1101.841458	dualbound = 3016963.599082, lowerbound=1212665.599082, norm of subgrad 38.975277	 stepsize= 1.000000 
-dualbound = 3017093.368026, lowerbound=1216976.368026, norm of subgrad 1103.781395	dualbound = 3017093.368026, lowerbound=1216976.368026, norm of subgrad 38.558643	 stepsize= 1.000000 
-dualbound = 3017240.315286, lowerbound=1218350.315286, norm of subgrad 1104.393189	dualbound = 3017240.315286, lowerbound=1218350.315286, norm of subgrad 38.483078	 stepsize= 1.000000 
-dualbound = 3017373.015949, lowerbound=1214882.015949, norm of subgrad 1102.798266	dualbound = 3017373.015949, lowerbound=1214882.015949, norm of subgrad 37.612507	 stepsize= 1.000000 
-dualbound = 3017509.317929, lowerbound=1214229.317929, norm of subgrad 1102.529055	dualbound = 3017509.317929, lowerbound=1214229.317929, norm of subgrad 38.435686	 stepsize= 1.000000 
-dualbound = 3017598.384215, lowerbound=1219663.384215, norm of subgrad 1105.008771	dualbound = 3017598.384215, lowerbound=1219663.384215, norm of subgrad 38.341443	 stepsize= 1.000000 
-dualbound = 3017717.626746, lowerbound=1216208.626746, norm of subgrad 1103.422234	dualbound = 3017717.626746, lowerbound=1216208.626746, norm of subgrad 38.095177	 stepsize= 1.000000 
-dualbound = 3017831.556313, lowerbound=1217343.556313, norm of subgrad 1103.995270	dualbound = 3017831.556313, lowerbound=1217343.556313, norm of subgrad 39.697979	 stepsize= 1.000000 
-dualbound = 3017941.996335, lowerbound=1217272.996335, norm of subgrad 1103.935685	dualbound = 3017941.996335, lowerbound=1217272.996335, norm of subgrad 38.877243	 stepsize= 1.000000 
-dualbound = 3018074.770940, lowerbound=1219596.770940, norm of subgrad 1105.011209	dualbound = 3018074.770940, lowerbound=1219596.770940, norm of subgrad 39.821786	 stepsize= 1.000000 
-dualbound = 3018200.587091, lowerbound=1217177.587091, norm of subgrad 1103.884318	dualbound = 3018200.587091, lowerbound=1217177.587091, norm of subgrad 38.843483	 stepsize= 1.000000 
-dualbound = 3018339.113264, lowerbound=1217693.113264, norm of subgrad 1104.101043	dualbound = 3018339.113264, lowerbound=1217693.113264, norm of subgrad 38.529549	 stepsize= 1.000000 
-dualbound = 3018466.315958, lowerbound=1216899.315958, norm of subgrad 1103.762799	dualbound = 3018466.315958, lowerbound=1216899.315958, norm of subgrad 38.989777	 stepsize= 1.000000 
-dualbound = 3018587.336992, lowerbound=1216746.336992, norm of subgrad 1103.679907	dualbound = 3018587.336992, lowerbound=1216746.336992, norm of subgrad 38.522994	 stepsize= 1.000000 
-dualbound = 3018712.773156, lowerbound=1218878.773156, norm of subgrad 1104.660931	dualbound = 3018712.773156, lowerbound=1218878.773156, norm of subgrad 39.018408	 stepsize= 1.000000 
-dualbound = 3018838.859231, lowerbound=1210234.859231, norm of subgrad 1100.742867	dualbound = 3018838.859231, lowerbound=1210234.859231, norm of subgrad 39.065152	 stepsize= 1.000000 
-dualbound = 3018939.756956, lowerbound=1215392.756956, norm of subgrad 1103.095534	dualbound = 3018939.756956, lowerbound=1215392.756956, norm of subgrad 39.088332	 stepsize= 1.000000 
-dualbound = 3019051.352133, lowerbound=1216587.352133, norm of subgrad 1103.603802	dualbound = 3019051.352133, lowerbound=1216587.352133, norm of subgrad 38.283093	 stepsize= 1.000000 
-dualbound = 3019200.293796, lowerbound=1213949.293796, norm of subgrad 1102.428816	dualbound = 3019200.293796, lowerbound=1213949.293796, norm of subgrad 39.356596	 stepsize= 1.000000 
-dualbound = 3019316.362809, lowerbound=1218950.362809, norm of subgrad 1104.682924	dualbound = 3019316.362809, lowerbound=1218950.362809, norm of subgrad 38.601412	 stepsize= 1.000000 
-dualbound = 3019444.831319, lowerbound=1219345.831319, norm of subgrad 1104.886343	dualbound = 3019444.831319, lowerbound=1219345.831319, norm of subgrad 39.452104	 stepsize= 1.000000 
-dualbound = 3019549.967762, lowerbound=1218775.967762, norm of subgrad 1104.604892	dualbound = 3019549.967762, lowerbound=1218775.967762, norm of subgrad 38.485535	 stepsize= 1.000000 
-dualbound = 3019692.734786, lowerbound=1217606.734786, norm of subgrad 1104.065548	dualbound = 3019692.734786, lowerbound=1217606.734786, norm of subgrad 38.688073	 stepsize= 1.000000 
-dualbound = 3019817.985416, lowerbound=1214921.985416, norm of subgrad 1102.859005	dualbound = 3019817.985416, lowerbound=1214921.985416, norm of subgrad 38.745976	 stepsize= 1.000000 
-dualbound = 3019951.114242, lowerbound=1215047.114242, norm of subgrad 1102.921173	dualbound = 3019951.114242, lowerbound=1215047.114242, norm of subgrad 39.001652	 stepsize= 1.000000 
-dualbound = 3020050.051216, lowerbound=1217513.051216, norm of subgrad 1104.036707	dualbound = 3020050.051216, lowerbound=1217513.051216, norm of subgrad 38.508921	 stepsize= 1.000000 
-dualbound = 3020188.842703, lowerbound=1217222.842703, norm of subgrad 1103.931086	dualbound = 3020188.842703, lowerbound=1217222.842703, norm of subgrad 39.746591	 stepsize= 1.000000 
-dualbound = 3020290.389155, lowerbound=1215713.389155, norm of subgrad 1103.226354	dualbound = 3020290.389155, lowerbound=1215713.389155, norm of subgrad 38.685223	 stepsize= 1.000000 
-dualbound = 3020437.695082, lowerbound=1214439.695082, norm of subgrad 1102.644864	dualbound = 3020437.695082, lowerbound=1214439.695082, norm of subgrad 39.157450	 stepsize= 1.000000 
-dualbound = 3020545.611516, lowerbound=1216754.611516, norm of subgrad 1103.706307	dualbound = 3020545.611516, lowerbound=1216754.611516, norm of subgrad 38.998929	 stepsize= 1.000000 
-dualbound = 3020695.600535, lowerbound=1217191.600535, norm of subgrad 1103.873000	dualbound = 3020695.600535, lowerbound=1217191.600535, norm of subgrad 38.652154	 stepsize= 1.000000 
-dualbound = 3020834.327827, lowerbound=1220552.327827, norm of subgrad 1105.404147	dualbound = 3020834.327827, lowerbound=1220552.327827, norm of subgrad 38.790815	 stepsize= 1.000000 
-dualbound = 3020931.700433, lowerbound=1215462.700433, norm of subgrad 1103.123611	dualbound = 3020931.700433, lowerbound=1215462.700433, norm of subgrad 38.940629	 stepsize= 1.000000 
-dualbound = 3021055.526629, lowerbound=1220437.526629, norm of subgrad 1105.342267	dualbound = 3021055.526629, lowerbound=1220437.526629, norm of subgrad 38.312220	 stepsize= 1.000000 
-dualbound = 3021202.870611, lowerbound=1216727.870611, norm of subgrad 1103.689209	dualbound = 3021202.870611, lowerbound=1216727.870611, norm of subgrad 39.361707	 stepsize= 1.000000 
-dualbound = 3021303.072857, lowerbound=1215763.072857, norm of subgrad 1103.252497	dualbound = 3021303.072857, lowerbound=1215763.072857, norm of subgrad 38.771152	 stepsize= 1.000000 
-dualbound = 3021441.518092, lowerbound=1217429.518092, norm of subgrad 1103.971249	dualbound = 3021441.518092, lowerbound=1217429.518092, norm of subgrad 38.228853	 stepsize= 1.000000 
-dualbound = 3021574.770849, lowerbound=1215818.770849, norm of subgrad 1103.260065	dualbound = 3021574.770849, lowerbound=1215818.770849, norm of subgrad 38.694350	 stepsize= 1.000000 
-dualbound = 3021681.554552, lowerbound=1216447.554552, norm of subgrad 1103.543182	dualbound = 3021681.554552, lowerbound=1216447.554552, norm of subgrad 38.298612	 stepsize= 1.000000 
-dualbound = 3021805.873487, lowerbound=1214735.873487, norm of subgrad 1102.770091	dualbound = 3021805.873487, lowerbound=1214735.873487, norm of subgrad 38.604649	 stepsize= 1.000000 
-dualbound = 3021915.205484, lowerbound=1220138.205484, norm of subgrad 1105.235362	dualbound = 3021915.205484, lowerbound=1220138.205484, norm of subgrad 38.940108	 stepsize= 1.000000 
-dualbound = 3022053.560307, lowerbound=1218693.560307, norm of subgrad 1104.557178	dualbound = 3022053.560307, lowerbound=1218693.560307, norm of subgrad 38.618063	 stepsize= 1.000000 
-dualbound = 3022173.491239, lowerbound=1217232.491239, norm of subgrad 1103.902845	dualbound = 3022173.491239, lowerbound=1217232.491239, norm of subgrad 38.586668	 stepsize= 1.000000 
-dualbound = 3022295.142438, lowerbound=1216836.142438, norm of subgrad 1103.725121	dualbound = 3022295.142438, lowerbound=1216836.142438, norm of subgrad 38.660719	 stepsize= 1.000000 
-dualbound = 3022415.536240, lowerbound=1215625.536240, norm of subgrad 1103.212825	dualbound = 3022415.536240, lowerbound=1215625.536240, norm of subgrad 39.666028	 stepsize= 1.000000 
-dualbound = 3022533.772498, lowerbound=1218391.772498, norm of subgrad 1104.458135	dualbound = 3022533.772498, lowerbound=1218391.772498, norm of subgrad 39.423803	 stepsize= 1.000000 
-dualbound = 3022670.200642, lowerbound=1213307.200642, norm of subgrad 1102.140282	dualbound = 3022670.200642, lowerbound=1213307.200642, norm of subgrad 39.273759	 stepsize= 1.000000 
-dualbound = 3022787.860166, lowerbound=1220723.860166, norm of subgrad 1105.490326	dualbound = 3022787.860166, lowerbound=1220723.860166, norm of subgrad 38.764153	 stepsize= 1.000000 
-dualbound = 3022913.144018, lowerbound=1213193.144018, norm of subgrad 1102.068575	dualbound = 3022913.144018, lowerbound=1213193.144018, norm of subgrad 38.565319	 stepsize= 1.000000 
-dualbound = 3023040.990542, lowerbound=1221005.990542, norm of subgrad 1105.606617	dualbound = 3023040.990542, lowerbound=1221005.990542, norm of subgrad 38.572614	 stepsize= 1.000000 
-dualbound = 3023199.663074, lowerbound=1214791.663074, norm of subgrad 1102.804454	dualbound = 3023199.663074, lowerbound=1214791.663074, norm of subgrad 39.302322	 stepsize= 1.000000 
-dualbound = 3023274.350259, lowerbound=1219908.350259, norm of subgrad 1105.134992	dualbound = 3023274.350259, lowerbound=1219908.350259, norm of subgrad 38.596466	 stepsize= 1.000000 
-dualbound = 3023421.055866, lowerbound=1217886.055866, norm of subgrad 1104.194302	dualbound = 3023421.055866, lowerbound=1217886.055866, norm of subgrad 38.803423	 stepsize= 1.000000 
-dualbound = 3023544.705082, lowerbound=1213687.705082, norm of subgrad 1102.282498	dualbound = 3023544.705082, lowerbound=1213687.705082, norm of subgrad 38.244597	 stepsize= 1.000000 
-dualbound = 3023672.328055, lowerbound=1216328.328055, norm of subgrad 1103.508644	dualbound = 3023672.328055, lowerbound=1216328.328055, norm of subgrad 39.123177	 stepsize= 1.000000 
-dualbound = 3023759.799539, lowerbound=1214624.799539, norm of subgrad 1102.745120	dualbound = 3023759.799539, lowerbound=1214624.799539, norm of subgrad 38.851917	 stepsize= 1.000000 
-dualbound = 3023906.992108, lowerbound=1217043.992108, norm of subgrad 1103.804327	dualbound = 3023906.992108, lowerbound=1217043.992108, norm of subgrad 38.564136	 stepsize= 1.000000 
-dualbound = 3024027.954746, lowerbound=1221029.954746, norm of subgrad 1105.586702	dualbound = 3024027.954746, lowerbound=1221029.954746, norm of subgrad 37.589395	 stepsize= 1.000000 
-dualbound = 3024178.793288, lowerbound=1215660.793288, norm of subgrad 1103.182575	dualbound = 3024178.793288, lowerbound=1215660.793288, norm of subgrad 38.753562	 stepsize= 1.000000 
-dualbound = 3024275.847704, lowerbound=1222440.847704, norm of subgrad 1106.249451	dualbound = 3024275.847704, lowerbound=1222440.847704, norm of subgrad 38.000716	 stepsize= 1.000000 
-dualbound = 3024374.998891, lowerbound=1221422.998891, norm of subgrad 1105.828648	dualbound = 3024374.998891, lowerbound=1221422.998891, norm of subgrad 39.155475	 stepsize= 1.000000 
-dualbound = 3024507.412772, lowerbound=1215101.412772, norm of subgrad 1102.941709	dualbound = 3024507.412772, lowerbound=1215101.412772, norm of subgrad 38.876907	 stepsize= 1.000000 
-dualbound = 3024656.750496, lowerbound=1216433.750496, norm of subgrad 1103.536928	dualbound = 3024656.750496, lowerbound=1216433.750496, norm of subgrad 38.850196	 stepsize= 1.000000 
-dualbound = 3024758.955750, lowerbound=1218337.955750, norm of subgrad 1104.423359	dualbound = 3024758.955750, lowerbound=1218337.955750, norm of subgrad 38.925637	 stepsize= 1.000000 
-dualbound = 3024891.907952, lowerbound=1215318.907952, norm of subgrad 1103.052994	dualbound = 3024891.907952, lowerbound=1215318.907952, norm of subgrad 39.242225	 stepsize= 1.000000 
-dualbound = 3025024.575100, lowerbound=1218251.575100, norm of subgrad 1104.369311	dualbound = 3025024.575100, lowerbound=1218251.575100, norm of subgrad 38.893022	 stepsize= 1.000000 
-dualbound = 3025135.291320, lowerbound=1220892.291320, norm of subgrad 1105.583236	dualbound = 3025135.291320, lowerbound=1220892.291320, norm of subgrad 39.149920	 stepsize= 1.000000 
-dualbound = 3025242.559903, lowerbound=1220230.559903, norm of subgrad 1105.245927	dualbound = 3025242.559903, lowerbound=1220230.559903, norm of subgrad 38.016688	 stepsize= 1.000000 
-dualbound = 3025394.309813, lowerbound=1220129.309813, norm of subgrad 1105.196955	dualbound = 3025394.309813, lowerbound=1220129.309813, norm of subgrad 38.506492	 stepsize= 1.000000 
-dualbound = 3025525.771526, lowerbound=1214980.771526, norm of subgrad 1102.862082	dualbound = 3025525.771526, lowerbound=1214980.771526, norm of subgrad 38.150514	 stepsize= 1.000000 
-dualbound = 3025626.590953, lowerbound=1224182.590953, norm of subgrad 1107.043175	dualbound = 3025626.590953, lowerbound=1224182.590953, norm of subgrad 38.246822	 stepsize= 1.000000 
-dualbound = 3025760.710168, lowerbound=1212372.710168, norm of subgrad 1101.683580	dualbound = 3025760.710168, lowerbound=1212372.710168, norm of subgrad 38.316044	 stepsize= 1.000000 
-dualbound = 3025898.371668, lowerbound=1222087.371668, norm of subgrad 1106.085156	dualbound = 3025898.371668, lowerbound=1222087.371668, norm of subgrad 38.401322	 stepsize= 1.000000 
-dualbound = 3026003.057476, lowerbound=1212367.057476, norm of subgrad 1101.679199	dualbound = 3026003.057476, lowerbound=1212367.057476, norm of subgrad 37.877247	 stepsize= 1.000000 
-dualbound = 3026133.421124, lowerbound=1218817.421124, norm of subgrad 1104.627277	dualbound = 3026133.421124, lowerbound=1218817.421124, norm of subgrad 38.914826	 stepsize= 1.000000 
-dualbound = 3026214.253592, lowerbound=1215060.253592, norm of subgrad 1102.926676	dualbound = 3026214.253592, lowerbound=1215060.253592, norm of subgrad 38.312302	 stepsize= 1.000000 
-dualbound = 3026370.022046, lowerbound=1221864.022046, norm of subgrad 1106.003627	dualbound = 3026370.022046, lowerbound=1221864.022046, norm of subgrad 39.188882	 stepsize= 1.000000 
-dualbound = 3026461.897403, lowerbound=1216756.897403, norm of subgrad 1103.708248	dualbound = 3026461.897403, lowerbound=1216756.897403, norm of subgrad 38.818492	 stepsize= 1.000000 
-dualbound = 3026593.885911, lowerbound=1219821.885911, norm of subgrad 1105.084108	dualbound = 3026593.885911, lowerbound=1219821.885911, norm of subgrad 38.999853	 stepsize= 1.000000 
-dualbound = 3026722.248203, lowerbound=1215620.248203, norm of subgrad 1103.161479	dualbound = 3026722.248203, lowerbound=1215620.248203, norm of subgrad 38.384402	 stepsize= 1.000000 
-dualbound = 3026869.841891, lowerbound=1216713.841891, norm of subgrad 1103.685572	dualbound = 3026869.841891, lowerbound=1216713.841891, norm of subgrad 39.441015	 stepsize= 1.000000 
-dualbound = 3026940.742372, lowerbound=1217884.742372, norm of subgrad 1104.215442	dualbound = 3026940.742372, lowerbound=1217884.742372, norm of subgrad 38.443471	 stepsize= 1.000000 
-dualbound = 3027094.281032, lowerbound=1215598.281032, norm of subgrad 1103.165573	dualbound = 3027094.281032, lowerbound=1215598.281032, norm of subgrad 39.109317	 stepsize= 1.000000 
-dualbound = 3027210.039465, lowerbound=1221903.039465, norm of subgrad 1106.030307	dualbound = 3027210.039465, lowerbound=1221903.039465, norm of subgrad 38.932742	 stepsize= 1.000000 
-dualbound = 3027320.605753, lowerbound=1216358.605753, norm of subgrad 1103.532784	dualbound = 3027320.605753, lowerbound=1216358.605753, norm of subgrad 39.199060	 stepsize= 1.000000 
-dualbound = 3027437.547468, lowerbound=1218832.547468, norm of subgrad 1104.666713	dualbound = 3027437.547468, lowerbound=1218832.547468, norm of subgrad 39.660329	 stepsize= 1.000000 
-dualbound = 3027558.676332, lowerbound=1211342.676332, norm of subgrad 1101.272753	dualbound = 3027558.676332, lowerbound=1211342.676332, norm of subgrad 39.750835	 stepsize= 1.000000 
-dualbound = 3027667.484945, lowerbound=1221529.484945, norm of subgrad 1105.886741	dualbound = 3027667.484945, lowerbound=1221529.484945, norm of subgrad 39.557662	 stepsize= 1.000000 
-dualbound = 3027814.064985, lowerbound=1213451.064985, norm of subgrad 1102.217794	dualbound = 3027814.064985, lowerbound=1213451.064985, norm of subgrad 39.743931	 stepsize= 1.000000 
-dualbound = 3027935.339999, lowerbound=1221858.339999, norm of subgrad 1106.014168	dualbound = 3027935.339999, lowerbound=1221858.339999, norm of subgrad 39.118730	 stepsize= 1.000000 
-dualbound = 3028083.315474, lowerbound=1217020.315474, norm of subgrad 1103.817157	dualbound = 3028083.315474, lowerbound=1217020.315474, norm of subgrad 39.242521	 stepsize= 1.000000 
-dualbound = 3028194.399912, lowerbound=1219764.399912, norm of subgrad 1105.048596	dualbound = 3028194.399912, lowerbound=1219764.399912, norm of subgrad 38.458867	 stepsize= 1.000000 
-dualbound = 3028336.244608, lowerbound=1215248.244608, norm of subgrad 1102.980618	dualbound = 3028336.244608, lowerbound=1215248.244608, norm of subgrad 38.207914	 stepsize= 1.000000 
-dualbound = 3028461.996427, lowerbound=1218278.996427, norm of subgrad 1104.383084	dualbound = 3028461.996427, lowerbound=1218278.996427, norm of subgrad 38.842655	 stepsize= 1.000000 
-dualbound = 3028559.365782, lowerbound=1217801.365782, norm of subgrad 1104.149612	dualbound = 3028559.365782, lowerbound=1217801.365782, norm of subgrad 37.978538	 stepsize= 1.000000 
-dualbound = 3028676.840025, lowerbound=1215618.840025, norm of subgrad 1103.187128	dualbound = 3028676.840025, lowerbound=1215618.840025, norm of subgrad 38.993259	 stepsize= 1.000000 
-dualbound = 3028807.020190, lowerbound=1221404.020190, norm of subgrad 1105.796555	dualbound = 3028807.020190, lowerbound=1221404.020190, norm of subgrad 38.886761	 stepsize= 1.000000 
-dualbound = 3028910.292072, lowerbound=1219757.292072, norm of subgrad 1105.033163	dualbound = 3028910.292072, lowerbound=1219757.292072, norm of subgrad 38.003577	 stepsize= 1.000000 
-dualbound = 3029050.429162, lowerbound=1218978.429162, norm of subgrad 1104.712374	dualbound = 3029050.429162, lowerbound=1218978.429162, norm of subgrad 39.384478	 stepsize= 1.000000 
-dualbound = 3029138.933385, lowerbound=1221501.933385, norm of subgrad 1105.848061	dualbound = 3029138.933385, lowerbound=1221501.933385, norm of subgrad 38.555210	 stepsize= 1.000000 
-dualbound = 3029297.975561, lowerbound=1212762.975561, norm of subgrad 1101.921946	dualbound = 3029297.975561, lowerbound=1212762.975561, norm of subgrad 40.349005	 stepsize= 1.000000 
-dualbound = 3029404.774916, lowerbound=1222574.774916, norm of subgrad 1106.323540	dualbound = 3029404.774916, lowerbound=1222574.774916, norm of subgrad 38.520116	 stepsize= 1.000000 
-dualbound = 3029544.816096, lowerbound=1215956.816096, norm of subgrad 1103.332142	dualbound = 3029544.816096, lowerbound=1215956.816096, norm of subgrad 39.051776	 stepsize= 1.000000 
-dualbound = 3029658.335251, lowerbound=1220475.335251, norm of subgrad 1105.388771	dualbound = 3029658.335251, lowerbound=1220475.335251, norm of subgrad 39.019471	 stepsize= 1.000000 
-dualbound = 3029797.934153, lowerbound=1215172.934153, norm of subgrad 1102.952825	dualbound = 3029797.934153, lowerbound=1215172.934153, norm of subgrad 38.361425	 stepsize= 1.000000 
-dualbound = 3029922.418906, lowerbound=1215701.418906, norm of subgrad 1103.239058	dualbound = 3029922.418906, lowerbound=1215701.418906, norm of subgrad 39.490312	 stepsize= 1.000000 
-dualbound = 3030014.541492, lowerbound=1218659.541492, norm of subgrad 1104.566676	dualbound = 3030014.541492, lowerbound=1218659.541492, norm of subgrad 38.731416	 stepsize= 1.000000 
-dualbound = 3030136.747008, lowerbound=1214978.747008, norm of subgrad 1102.887006	dualbound = 3030136.747008, lowerbound=1214978.747008, norm of subgrad 38.771194	 stepsize= 1.000000 
-dualbound = 3030295.291893, lowerbound=1219513.291893, norm of subgrad 1104.922754	dualbound = 3030295.291893, lowerbound=1219513.291893, norm of subgrad 38.723958	 stepsize= 1.000000 
-dualbound = 3030402.915085, lowerbound=1215849.915085, norm of subgrad 1103.278711	dualbound = 3030402.915085, lowerbound=1215849.915085, norm of subgrad 38.491859	 stepsize= 1.000000 
-dualbound = 3030513.731764, lowerbound=1220628.731764, norm of subgrad 1105.458607	dualbound = 3030513.731764, lowerbound=1220628.731764, norm of subgrad 38.997650	 stepsize= 1.000000 
-dualbound = 3030618.999333, lowerbound=1216438.999333, norm of subgrad 1103.571928	dualbound = 3030618.999333, lowerbound=1216438.999333, norm of subgrad 39.208004	 stepsize= 1.000000 
-dualbound = 3030759.639910, lowerbound=1220282.639910, norm of subgrad 1105.283059	dualbound = 3030759.639910, lowerbound=1220282.639910, norm of subgrad 38.841223	 stepsize= 1.000000 
-dualbound = 3030881.402387, lowerbound=1219738.402387, norm of subgrad 1105.067601	dualbound = 3030881.402387, lowerbound=1219738.402387, norm of subgrad 39.468500	 stepsize= 1.000000 
-dualbound = 3030983.941171, lowerbound=1220610.941171, norm of subgrad 1105.430659	dualbound = 3030983.941171, lowerbound=1220610.941171, norm of subgrad 38.321519	 stepsize= 1.000000 
-dualbound = 3031158.534355, lowerbound=1217147.534355, norm of subgrad 1103.845340	dualbound = 3031158.534355, lowerbound=1217147.534355, norm of subgrad 38.750396	 stepsize= 1.000000 
-dualbound = 3031256.815587, lowerbound=1221249.815587, norm of subgrad 1105.701956	dualbound = 3031256.815587, lowerbound=1221249.815587, norm of subgrad 37.752897	 stepsize= 1.000000 
-dualbound = 3031395.044540, lowerbound=1216408.044540, norm of subgrad 1103.507157	dualbound = 3031395.044540, lowerbound=1216408.044540, norm of subgrad 38.186764	 stepsize= 1.000000 
-dualbound = 3031511.358339, lowerbound=1219708.358339, norm of subgrad 1105.006497	dualbound = 3031511.358339, lowerbound=1219708.358339, norm of subgrad 38.043578	 stepsize= 1.000000 
-dualbound = 3031624.543848, lowerbound=1218827.543848, norm of subgrad 1104.629596	dualbound = 3031624.543848, lowerbound=1218827.543848, norm of subgrad 38.628817	 stepsize= 1.000000 
-dualbound = 3031705.105994, lowerbound=1217466.105994, norm of subgrad 1104.041714	dualbound = 3031705.105994, lowerbound=1217466.105994, norm of subgrad 39.020022	 stepsize= 1.000000 
-dualbound = 3031821.471707, lowerbound=1223126.471707, norm of subgrad 1106.565620	dualbound = 3031821.471707, lowerbound=1223126.471707, norm of subgrad 38.436515	 stepsize= 1.000000 
-dualbound = 3031995.079893, lowerbound=1215944.079893, norm of subgrad 1103.306431	dualbound = 3031995.079893, lowerbound=1215944.079893, norm of subgrad 38.917967	 stepsize= 1.000000 
-dualbound = 3032100.639663, lowerbound=1220807.639663, norm of subgrad 1105.512388	dualbound = 3032100.639663, lowerbound=1220807.639663, norm of subgrad 38.151799	 stepsize= 1.000000 
-dualbound = 3032234.332525, lowerbound=1219603.332525, norm of subgrad 1105.021417	dualbound = 3032234.332525, lowerbound=1219603.332525, norm of subgrad 40.033647	 stepsize= 1.000000 
-dualbound = 3032299.821191, lowerbound=1215581.821191, norm of subgrad 1103.184400	dualbound = 3032299.821191, lowerbound=1215581.821191, norm of subgrad 38.723232	 stepsize= 1.000000 
-dualbound = 3032466.880888, lowerbound=1220407.880888, norm of subgrad 1105.326142	dualbound = 3032466.880888, lowerbound=1220407.880888, norm of subgrad 38.795099	 stepsize= 1.000000 
-dualbound = 3032586.367442, lowerbound=1215830.367442, norm of subgrad 1103.278916	dualbound = 3032586.367442, lowerbound=1215830.367442, norm of subgrad 38.903555	 stepsize= 1.000000 
-dualbound = 3032701.167848, lowerbound=1223981.167848, norm of subgrad 1106.968910	dualbound = 3032701.167848, lowerbound=1223981.167848, norm of subgrad 38.907588	 stepsize= 1.000000 
-dualbound = 3032825.563566, lowerbound=1217118.563566, norm of subgrad 1103.880231	dualbound = 3032825.563566, lowerbound=1217118.563566, norm of subgrad 39.463853	 stepsize= 1.000000 
-dualbound = 3032939.041128, lowerbound=1218787.041128, norm of subgrad 1104.610810	dualbound = 3032939.041128, lowerbound=1218787.041128, norm of subgrad 38.619653	 stepsize= 1.000000 
-dualbound = 3033085.691262, lowerbound=1216085.691262, norm of subgrad 1103.368792	dualbound = 3033085.691262, lowerbound=1216085.691262, norm of subgrad 38.518179	 stepsize= 1.000000 
-dualbound = 3033190.223935, lowerbound=1223603.223935, norm of subgrad 1106.790054	dualbound = 3033190.223935, lowerbound=1223603.223935, norm of subgrad 38.542609	 stepsize= 1.000000 
-dualbound = 3033343.378980, lowerbound=1212899.378980, norm of subgrad 1101.927121	dualbound = 3033343.378980, lowerbound=1212899.378980, norm of subgrad 38.693088	 stepsize= 1.000000 
-dualbound = 3033464.042803, lowerbound=1217843.042803, norm of subgrad 1104.180711	dualbound = 3033464.042803, lowerbound=1217843.042803, norm of subgrad 38.635008	 stepsize= 1.000000 
-dualbound = 3033570.266883, lowerbound=1214911.266883, norm of subgrad 1102.849159	dualbound = 3033570.266883, lowerbound=1214911.266883, norm of subgrad 38.356539	 stepsize= 1.000000 
-dualbound = 3033698.182081, lowerbound=1216686.182081, norm of subgrad 1103.679837	dualbound = 3033698.182081, lowerbound=1216686.182081, norm of subgrad 39.381661	 stepsize= 1.000000 
-dualbound = 3033796.662970, lowerbound=1221785.662970, norm of subgrad 1105.975887	dualbound = 3033796.662970, lowerbound=1221785.662970, norm of subgrad 38.671448	 stepsize= 1.000000 
-dualbound = 3033958.987549, lowerbound=1216877.987549, norm of subgrad 1103.743171	dualbound = 3033958.987549, lowerbound=1216877.987549, norm of subgrad 39.157689	 stepsize= 1.000000 
-dualbound = 3034047.094204, lowerbound=1217671.094204, norm of subgrad 1104.119149	dualbound = 3034047.094204, lowerbound=1217671.094204, norm of subgrad 38.679538	 stepsize= 1.000000 
-dualbound = 3034177.143612, lowerbound=1223061.143612, norm of subgrad 1106.558694	dualbound = 3034177.143612, lowerbound=1223061.143612, norm of subgrad 39.256202	 stepsize= 1.000000 
-dualbound = 3034288.007979, lowerbound=1216306.007979, norm of subgrad 1103.487656	dualbound = 3034288.007979, lowerbound=1216306.007979, norm of subgrad 38.598761	 stepsize= 1.000000 
-dualbound = 3034406.973045, lowerbound=1221730.973045, norm of subgrad 1105.972411	dualbound = 3034406.973045, lowerbound=1221730.973045, norm of subgrad 39.534353	 stepsize= 1.000000 
-dualbound = 3034533.531871, lowerbound=1216431.531871, norm of subgrad 1103.526407	dualbound = 3034533.531871, lowerbound=1216431.531871, norm of subgrad 38.282618	 stepsize= 1.000000 
-dualbound = 3034707.763897, lowerbound=1218972.763897, norm of subgrad 1104.670885	dualbound = 3034707.763897, lowerbound=1218972.763897, norm of subgrad 38.719918	 stepsize= 1.000000 
-dualbound = 3034799.052281, lowerbound=1217558.052281, norm of subgrad 1104.027197	dualbound = 3034799.052281, lowerbound=1217558.052281, norm of subgrad 37.540490	 stepsize= 1.000000 
-dualbound = 3034948.649941, lowerbound=1221709.649941, norm of subgrad 1105.917560	dualbound = 3034948.649941, lowerbound=1221709.649941, norm of subgrad 38.647091	 stepsize= 1.000000 
-dualbound = 3035008.053642, lowerbound=1213545.053642, norm of subgrad 1102.279481	dualbound = 3035008.053642, lowerbound=1213545.053642, norm of subgrad 39.171465	 stepsize= 1.000000 
-dualbound = 3035139.970638, lowerbound=1221419.970638, norm of subgrad 1105.847625	dualbound = 3035139.970638, lowerbound=1221419.970638, norm of subgrad 40.136230	 stepsize= 1.000000 
-dualbound = 3035238.006850, lowerbound=1221708.006850, norm of subgrad 1105.952082	dualbound = 3035238.006850, lowerbound=1221708.006850, norm of subgrad 38.987642	 stepsize= 1.000000 
-dualbound = 3035401.734847, lowerbound=1220101.734847, norm of subgrad 1105.198957	dualbound = 3035401.734847, lowerbound=1220101.734847, norm of subgrad 39.073367	 stepsize= 1.000000 
-dualbound = 3035517.404516, lowerbound=1214750.404516, norm of subgrad 1102.777586	dualbound = 3035517.404516, lowerbound=1214750.404516, norm of subgrad 38.518433	 stepsize= 1.000000 
-dualbound = 3035668.444525, lowerbound=1222526.444525, norm of subgrad 1106.277743	dualbound = 3035668.444525, lowerbound=1222526.444525, norm of subgrad 38.406250	 stepsize= 1.000000 
-dualbound = 3035779.837013, lowerbound=1215688.837013, norm of subgrad 1103.193472	dualbound = 3035779.837013, lowerbound=1215688.837013, norm of subgrad 38.188905	 stepsize= 1.000000 
-dualbound = 3035886.194338, lowerbound=1218167.194338, norm of subgrad 1104.354651	dualbound = 3035886.194338, lowerbound=1218167.194338, norm of subgrad 39.221899	 stepsize= 1.000000 
-dualbound = 3036006.424080, lowerbound=1218640.424080, norm of subgrad 1104.531314	dualbound = 3036006.424080, lowerbound=1218640.424080, norm of subgrad 38.330533	 stepsize= 1.000000 
-dualbound = 3036137.468778, lowerbound=1222204.468778, norm of subgrad 1106.161141	dualbound = 3036137.468778, lowerbound=1222204.468778, norm of subgrad 38.974924	 stepsize= 1.000000 
-dualbound = 3036254.876704, lowerbound=1216939.876704, norm of subgrad 1103.766677	dualbound = 3036254.876704, lowerbound=1216939.876704, norm of subgrad 38.450071	 stepsize= 1.000000 
-dualbound = 3036377.373528, lowerbound=1220564.373528, norm of subgrad 1105.457540	dualbound = 3036377.373528, lowerbound=1220564.373528, norm of subgrad 39.931151	 stepsize= 1.000000 
-dualbound = 3036483.415430, lowerbound=1220931.415430, norm of subgrad 1105.594598	dualbound = 3036483.415430, lowerbound=1220931.415430, norm of subgrad 38.910691	 stepsize= 1.000000 
-dualbound = 3036612.975264, lowerbound=1217714.975264, norm of subgrad 1104.148982	dualbound = 3036612.975264, lowerbound=1217714.975264, norm of subgrad 39.491263	 stepsize= 1.000000 
-dualbound = 3036726.861797, lowerbound=1217379.861797, norm of subgrad 1103.999937	dualbound = 3036726.861797, lowerbound=1217379.861797, norm of subgrad 39.368598	 stepsize= 1.000000 
-dualbound = 3036863.230396, lowerbound=1215840.230396, norm of subgrad 1103.277948	dualbound = 3036863.230396, lowerbound=1215840.230396, norm of subgrad 38.966249	 stepsize= 1.000000 
-dualbound = 3036997.001669, lowerbound=1218458.001669, norm of subgrad 1104.457786	dualbound = 3036997.001669, lowerbound=1218458.001669, norm of subgrad 38.765594	 stepsize= 1.000000 
-dualbound = 3037111.460789, lowerbound=1223593.460789, norm of subgrad 1106.795582	dualbound = 3037111.460789, lowerbound=1223593.460789, norm of subgrad 38.954578	 stepsize= 1.000000 
-dualbound = 3037230.716104, lowerbound=1217520.716104, norm of subgrad 1104.033385	dualbound = 3037230.716104, lowerbound=1217520.716104, norm of subgrad 38.577912	 stepsize= 1.000000 
-dualbound = 3037378.023778, lowerbound=1219287.023778, norm of subgrad 1104.839818	dualbound = 3037378.023778, lowerbound=1219287.023778, norm of subgrad 39.131927	 stepsize= 1.000000 
-dualbound = 3037460.467225, lowerbound=1215897.467225, norm of subgrad 1103.322467	dualbound = 3037460.467225, lowerbound=1215897.467225, norm of subgrad 38.800044	 stepsize= 1.000000 
-dualbound = 3037591.153143, lowerbound=1219942.153143, norm of subgrad 1105.157072	dualbound = 3037591.153143, lowerbound=1219942.153143, norm of subgrad 39.505518	 stepsize= 1.000000 
-dualbound = 3037699.919561, lowerbound=1224198.919561, norm of subgrad 1107.079003	dualbound = 3037699.919561, lowerbound=1224198.919561, norm of subgrad 39.163330	 stepsize= 1.000000 
-dualbound = 3037839.486480, lowerbound=1220190.486480, norm of subgrad 1105.237299	dualbound = 3037839.486480, lowerbound=1220190.486480, norm of subgrad 38.711328	 stepsize= 1.000000 
-dualbound = 3037975.209756, lowerbound=1216259.209756, norm of subgrad 1103.451045	dualbound = 3037975.209756, lowerbound=1216259.209756, norm of subgrad 38.480167	 stepsize= 1.000000 
-dualbound = 3038090.975479, lowerbound=1217598.975479, norm of subgrad 1104.049807	dualbound = 3038090.975479, lowerbound=1217598.975479, norm of subgrad 37.983756	 stepsize= 1.000000 
-dualbound = 3038219.955125, lowerbound=1215682.955125, norm of subgrad 1103.183101	dualbound = 3038219.955125, lowerbound=1215682.955125, norm of subgrad 38.196592	 stepsize= 1.000000 
-dualbound = 3038358.627000, lowerbound=1222413.627000, norm of subgrad 1106.218616	dualbound = 3038358.627000, lowerbound=1222413.627000, norm of subgrad 38.008839	 stepsize= 1.000000 
-dualbound = 3038477.771503, lowerbound=1215444.771503, norm of subgrad 1103.099167	dualbound = 3038477.771503, lowerbound=1215444.771503, norm of subgrad 38.757509	 stepsize= 1.000000 
-dualbound = 3038563.246090, lowerbound=1222730.246090, norm of subgrad 1106.396514	dualbound = 3038563.246090, lowerbound=1222730.246090, norm of subgrad 38.320681	 stepsize= 1.000000 
-dualbound = 3038700.441153, lowerbound=1219413.441153, norm of subgrad 1104.902910	dualbound = 3038700.441153, lowerbound=1219413.441153, norm of subgrad 39.168802	 stepsize= 1.000000 
-dualbound = 3038829.711155, lowerbound=1223281.711155, norm of subgrad 1106.659709	dualbound = 3038829.711155, lowerbound=1223281.711155, norm of subgrad 39.284475	 stepsize= 1.000000 
-dualbound = 3038937.366410, lowerbound=1216199.366410, norm of subgrad 1103.423022	dualbound = 3038937.366410, lowerbound=1216199.366410, norm of subgrad 38.087468	 stepsize= 1.000000 
-dualbound = 3039081.041210, lowerbound=1220522.041210, norm of subgrad 1105.384115	dualbound = 3039081.041210, lowerbound=1220522.041210, norm of subgrad 38.673955	 stepsize= 1.000000 
-dualbound = 3039170.696778, lowerbound=1216848.696778, norm of subgrad 1103.756629	dualbound = 3039170.696778, lowerbound=1216848.696778, norm of subgrad 38.982760	 stepsize= 1.000000 
-dualbound = 3039318.362101, lowerbound=1220819.362101, norm of subgrad 1105.528544	dualbound = 3039318.362101, lowerbound=1220819.362101, norm of subgrad 39.008529	 stepsize= 1.000000 
-dualbound = 3039424.659487, lowerbound=1216824.659487, norm of subgrad 1103.722184	dualbound = 3039424.659487, lowerbound=1216824.659487, norm of subgrad 38.526580	 stepsize= 1.000000 
-dualbound = 3039569.559277, lowerbound=1220591.559277, norm of subgrad 1105.446317	dualbound = 3039569.559277, lowerbound=1220591.559277, norm of subgrad 39.558814	 stepsize= 1.000000 
-dualbound = 3039652.819595, lowerbound=1218532.819595, norm of subgrad 1104.530588	dualbound = 3039652.819595, lowerbound=1218532.819595, norm of subgrad 39.220662	 stepsize= 1.000000 
-dualbound = 3039777.778231, lowerbound=1216771.778231, norm of subgrad 1103.702758	dualbound = 3039777.778231, lowerbound=1216771.778231, norm of subgrad 38.896769	 stepsize= 1.000000 
-dualbound = 3039921.754644, lowerbound=1222275.754644, norm of subgrad 1106.177542	dualbound = 3039921.754644, lowerbound=1222275.754644, norm of subgrad 38.690779	 stepsize= 1.000000 
-dualbound = 3040045.753369, lowerbound=1223614.753369, norm of subgrad 1106.828240	dualbound = 3040045.753369, lowerbound=1223614.753369, norm of subgrad 39.724032	 stepsize= 1.000000 
-dualbound = 3040116.176757, lowerbound=1217941.176757, norm of subgrad 1104.249599	dualbound = 3040116.176757, lowerbound=1217941.176757, norm of subgrad 38.683632	 stepsize= 1.000000 
-dualbound = 3040300.400021, lowerbound=1220158.400021, norm of subgrad 1105.243593	dualbound = 3040300.400021, lowerbound=1220158.400021, norm of subgrad 39.865063	 stepsize= 1.000000 
-dualbound = 3040418.195229, lowerbound=1218833.195229, norm of subgrad 1104.638038	dualbound = 3040418.195229, lowerbound=1218833.195229, norm of subgrad 38.856083	 stepsize= 1.000000 
-dualbound = 3040516.239329, lowerbound=1222462.239329, norm of subgrad 1106.297085	dualbound = 3040516.239329, lowerbound=1222462.239329, norm of subgrad 39.102993	 stepsize= 1.000000 
-dualbound = 3040645.836476, lowerbound=1216360.836476, norm of subgrad 1103.511593	dualbound = 3040645.836476, lowerbound=1216360.836476, norm of subgrad 38.814909	 stepsize= 1.000000 
-dualbound = 3040795.270226, lowerbound=1218836.270226, norm of subgrad 1104.619061	dualbound = 3040795.270226, lowerbound=1218836.270226, norm of subgrad 38.683766	 stepsize= 1.000000 
-dualbound = 3040877.810156, lowerbound=1218251.810156, norm of subgrad 1104.373039	dualbound = 3040877.810156, lowerbound=1218251.810156, norm of subgrad 38.347620	 stepsize= 1.000000 
-dualbound = 3041025.811413, lowerbound=1224449.811413, norm of subgrad 1107.183730	dualbound = 3041025.811413, lowerbound=1224449.811413, norm of subgrad 39.420823	 stepsize= 1.000000 
-dualbound = 3041107.023500, lowerbound=1217169.023500, norm of subgrad 1103.922109	dualbound = 3041107.023500, lowerbound=1217169.023500, norm of subgrad 39.448854	 stepsize= 1.000000 
-dualbound = 3041261.027314, lowerbound=1220478.027314, norm of subgrad 1105.377324	dualbound = 3041261.027314, lowerbound=1220478.027314, norm of subgrad 39.179125	 stepsize= 1.000000 
-dualbound = 3041388.779662, lowerbound=1215550.779662, norm of subgrad 1103.156281	dualbound = 3041388.779662, lowerbound=1215550.779662, norm of subgrad 39.124830	 stepsize= 1.000000 
-dualbound = 3041508.516054, lowerbound=1220673.516054, norm of subgrad 1105.457605	dualbound = 3041508.516054, lowerbound=1220673.516054, norm of subgrad 38.506316	 stepsize= 1.000000 
-dualbound = 3041637.600812, lowerbound=1216925.600812, norm of subgrad 1103.751603	dualbound = 3041637.600812, lowerbound=1216925.600812, norm of subgrad 38.354723	 stepsize= 1.000000 
-dualbound = 3041753.370578, lowerbound=1219034.370578, norm of subgrad 1104.724568	dualbound = 3041753.370578, lowerbound=1219034.370578, norm of subgrad 38.701031	 stepsize= 1.000000 
-dualbound = 3041859.449438, lowerbound=1216751.449438, norm of subgrad 1103.680411	dualbound = 3041859.449438, lowerbound=1216751.449438, norm of subgrad 38.276349	 stepsize= 1.000000 
-dualbound = 3042032.240458, lowerbound=1218502.240458, norm of subgrad 1104.452915	dualbound = 3042032.240458, lowerbound=1218502.240458, norm of subgrad 38.558929	 stepsize= 1.000000 
-dualbound = 3042109.315518, lowerbound=1222288.315518, norm of subgrad 1106.199040	dualbound = 3042109.315518, lowerbound=1222288.315518, norm of subgrad 38.276299	 stepsize= 1.000000 
-dualbound = 3042239.410317, lowerbound=1220006.410317, norm of subgrad 1105.174380	dualbound = 3042239.410317, lowerbound=1220006.410317, norm of subgrad 39.167522	 stepsize= 1.000000 
-dualbound = 3042332.327972, lowerbound=1214708.327972, norm of subgrad 1102.753974	dualbound = 3042332.327972, lowerbound=1214708.327972, norm of subgrad 38.090913	 stepsize= 1.000000 
-dualbound = 3042498.087088, lowerbound=1221933.087088, norm of subgrad 1106.041630	dualbound = 3042498.087088, lowerbound=1221933.087088, norm of subgrad 39.506444	 stepsize= 1.000000 
-dualbound = 3042572.840356, lowerbound=1218622.840356, norm of subgrad 1104.551420	dualbound = 3042572.840356, lowerbound=1218622.840356, norm of subgrad 38.545470	 stepsize= 1.000000 
-dualbound = 3042719.993767, lowerbound=1217993.993767, norm of subgrad 1104.254950	dualbound = 3042719.993767, lowerbound=1217993.993767, norm of subgrad 39.142731	 stepsize= 1.000000 
-dualbound = 3042836.992520, lowerbound=1220739.992520, norm of subgrad 1105.512547	dualbound = 3042836.992520, lowerbound=1220739.992520, norm of subgrad 39.179060	 stepsize= 1.000000 
-dualbound = 3042971.110263, lowerbound=1220972.110263, norm of subgrad 1105.589938	dualbound = 3042971.110263, lowerbound=1220972.110263, norm of subgrad 38.614994	 stepsize= 1.000000 
-dualbound = 3043110.329158, lowerbound=1215496.329158, norm of subgrad 1103.088541	dualbound = 3043110.329158, lowerbound=1215496.329158, norm of subgrad 38.042330	 stepsize= 1.000000 
-dualbound = 3043240.715638, lowerbound=1221534.715638, norm of subgrad 1105.879160	dualbound = 3043240.715638, lowerbound=1221534.715638, norm of subgrad 39.552326	 stepsize= 1.000000 
-dualbound = 3043311.223759, lowerbound=1215478.223759, norm of subgrad 1103.136539	dualbound = 3043311.223759, lowerbound=1215478.223759, norm of subgrad 38.762200	 stepsize= 1.000000 
-dualbound = 3043473.031757, lowerbound=1222248.031757, norm of subgrad 1106.181735	dualbound = 3043473.031757, lowerbound=1222248.031757, norm of subgrad 39.392994	 stepsize= 1.000000 
-dualbound = 3043567.102827, lowerbound=1217067.102827, norm of subgrad 1103.823855	dualbound = 3043567.102827, lowerbound=1217067.102827, norm of subgrad 38.132284	 stepsize= 1.000000 
-dualbound = 3043716.671993, lowerbound=1225581.671993, norm of subgrad 1107.696110	dualbound = 3043716.671993, lowerbound=1225581.671993, norm of subgrad 39.478718	 stepsize= 1.000000 
-dualbound = 3043813.373281, lowerbound=1215880.373281, norm of subgrad 1103.282545	dualbound = 3043813.373281, lowerbound=1215880.373281, norm of subgrad 38.061809	 stepsize= 1.000000 
-dualbound = 3043949.923007, lowerbound=1220245.923007, norm of subgrad 1105.284544	dualbound = 3043949.923007, lowerbound=1220245.923007, norm of subgrad 39.300760	 stepsize= 1.000000 
-dualbound = 3044033.028374, lowerbound=1215521.028374, norm of subgrad 1103.167724	dualbound = 3044033.028374, lowerbound=1215521.028374, norm of subgrad 39.256915	 stepsize= 1.000000 
-dualbound = 3044174.845516, lowerbound=1221929.845516, norm of subgrad 1106.027055	dualbound = 3044174.845516, lowerbound=1221929.845516, norm of subgrad 38.830621	 stepsize= 1.000000 
-dualbound = 3044325.828417, lowerbound=1221695.828417, norm of subgrad 1105.909051	dualbound = 3044325.828417, lowerbound=1221695.828417, norm of subgrad 38.600297	 stepsize= 1.000000 
-dualbound = 3044441.385925, lowerbound=1221337.385925, norm of subgrad 1105.745172	dualbound = 3044441.385925, lowerbound=1221337.385925, norm of subgrad 38.086185	 stepsize= 1.000000 
-dualbound = 3044568.788902, lowerbound=1223239.788902, norm of subgrad 1106.636701	dualbound = 3044568.788902, lowerbound=1223239.788902, norm of subgrad 39.145919	 stepsize= 1.000000 
-dualbound = 3044680.546183, lowerbound=1213671.546183, norm of subgrad 1102.283333	dualbound = 3044680.546183, lowerbound=1213671.546183, norm of subgrad 38.324369	 stepsize= 1.000000 
-dualbound = 3044797.663896, lowerbound=1219594.663896, norm of subgrad 1104.957313	dualbound = 3044797.663896, lowerbound=1219594.663896, norm of subgrad 38.119781	 stepsize= 1.000000 
-dualbound = 3044921.691955, lowerbound=1220488.691955, norm of subgrad 1105.393003	dualbound = 3044921.691955, lowerbound=1220488.691955, norm of subgrad 39.102788	 stepsize= 1.000000 
-dualbound = 3045033.427921, lowerbound=1220773.427921, norm of subgrad 1105.512744	dualbound = 3045033.427921, lowerbound=1220773.427921, norm of subgrad 38.687672	 stepsize= 1.000000 
-dualbound = 3045172.884810, lowerbound=1222632.884810, norm of subgrad 1106.346639	dualbound = 3045172.884810, lowerbound=1222632.884810, norm of subgrad 38.851730	 stepsize= 1.000000 
-dualbound = 3045302.201426, lowerbound=1221510.201426, norm of subgrad 1105.838687	dualbound = 3045302.201426, lowerbound=1221510.201426, norm of subgrad 38.708095	 stepsize= 1.000000 
-dualbound = 3045404.957019, lowerbound=1216864.957019, norm of subgrad 1103.739533	dualbound = 3045404.957019, lowerbound=1216864.957019, norm of subgrad 38.454591	 stepsize= 1.000000 
-dualbound = 3045509.539254, lowerbound=1217580.539254, norm of subgrad 1104.108935	dualbound = 3045509.539254, lowerbound=1217580.539254, norm of subgrad 39.756537	 stepsize= 1.000000 
-dualbound = 3045631.390549, lowerbound=1218582.390549, norm of subgrad 1104.511834	dualbound = 3045631.390549, lowerbound=1218582.390549, norm of subgrad 38.546742	 stepsize= 1.000000 
-dualbound = 3045770.946980, lowerbound=1219087.946980, norm of subgrad 1104.749721	dualbound = 3045770.946980, lowerbound=1219087.946980, norm of subgrad 39.032761	 stepsize= 1.000000 
-dualbound = 3045899.262209, lowerbound=1221267.262209, norm of subgrad 1105.735620	dualbound = 3045899.262209, lowerbound=1221267.262209, norm of subgrad 38.888497	 stepsize= 1.000000 
-dualbound = 3045999.880693, lowerbound=1219289.880693, norm of subgrad 1104.890891	dualbound = 3045999.880693, lowerbound=1219289.880693, norm of subgrad 39.932674	 stepsize= 1.000000 
-dualbound = 3046118.144854, lowerbound=1220833.144854, norm of subgrad 1105.545632	dualbound = 3046118.144854, lowerbound=1220833.144854, norm of subgrad 38.939237	 stepsize= 1.000000 
-dualbound = 3046243.032725, lowerbound=1217128.032725, norm of subgrad 1103.903090	dualbound = 3046243.032725, lowerbound=1217128.032725, norm of subgrad 39.986096	 stepsize= 1.000000 
-dualbound = 3046375.371084, lowerbound=1218676.371084, norm of subgrad 1104.589232	dualbound = 3046375.371084, lowerbound=1218676.371084, norm of subgrad 39.665329	 stepsize= 1.000000 
-dualbound = 3046494.102262, lowerbound=1219525.102262, norm of subgrad 1104.934433	dualbound = 3046494.102262, lowerbound=1219525.102262, norm of subgrad 38.389207	 stepsize= 1.000000 
-dualbound = 3046667.196995, lowerbound=1224012.196995, norm of subgrad 1106.964858	dualbound = 3046667.196995, lowerbound=1224012.196995, norm of subgrad 39.141982	 stepsize= 1.000000 
-dualbound = 3046738.369679, lowerbound=1216863.369679, norm of subgrad 1103.744250	dualbound = 3046738.369679, lowerbound=1216863.369679, norm of subgrad 38.199119	 stepsize= 1.000000 
-dualbound = 3046882.431026, lowerbound=1221903.431026, norm of subgrad 1105.998839	dualbound = 3046882.431026, lowerbound=1221903.431026, norm of subgrad 38.393507	 stepsize= 1.000000 
-dualbound = 3047013.630555, lowerbound=1216626.630555, norm of subgrad 1103.650140	dualbound = 3047013.630555, lowerbound=1216626.630555, norm of subgrad 39.347167	 stepsize= 1.000000 
-dualbound = 3047117.269522, lowerbound=1220364.269522, norm of subgrad 1105.327223	dualbound = 3047117.269522, lowerbound=1220364.269522, norm of subgrad 38.569923	 stepsize= 1.000000 
-dualbound = 3047242.381625, lowerbound=1221427.381625, norm of subgrad 1105.800787	dualbound = 3047242.381625, lowerbound=1221427.381625, norm of subgrad 38.640809	 stepsize= 1.000000 
-dualbound = 3047395.829697, lowerbound=1221475.829697, norm of subgrad 1105.794660	dualbound = 3047395.829697, lowerbound=1221475.829697, norm of subgrad 38.202723	 stepsize= 1.000000 
-dualbound = 3047500.637538, lowerbound=1221054.637538, norm of subgrad 1105.620929	dualbound = 3047500.637538, lowerbound=1221054.637538, norm of subgrad 38.050070	 stepsize= 1.000000 
-dualbound = 3047621.818000, lowerbound=1222405.818000, norm of subgrad 1106.220963	dualbound = 3047621.818000, lowerbound=1222405.818000, norm of subgrad 37.949710	 stepsize= 1.000000 
-dualbound = 3047736.150972, lowerbound=1218658.150972, norm of subgrad 1104.545224	dualbound = 3047736.150972, lowerbound=1218658.150972, norm of subgrad 38.423079	 stepsize= 1.000000 
-dualbound = 3047848.048499, lowerbound=1225716.048499, norm of subgrad 1107.745931	dualbound = 3047848.048499, lowerbound=1225716.048499, norm of subgrad 38.689760	 stepsize= 1.000000 
-dualbound = 3047978.522222, lowerbound=1215737.522222, norm of subgrad 1103.214178	dualbound = 3047978.522222, lowerbound=1215737.522222, norm of subgrad 38.398877	 stepsize= 1.000000 
-dualbound = 3048084.669532, lowerbound=1221115.669532, norm of subgrad 1105.661643	dualbound = 3048084.669532, lowerbound=1221115.669532, norm of subgrad 38.446681	 stepsize= 1.000000 
-dualbound = 3048220.001319, lowerbound=1215192.001319, norm of subgrad 1102.961015	dualbound = 3048220.001319, lowerbound=1215192.001319, norm of subgrad 38.292712	 stepsize= 1.000000 
-dualbound = 3048322.016986, lowerbound=1220904.016986, norm of subgrad 1105.608890	dualbound = 3048322.016986, lowerbound=1220904.016986, norm of subgrad 39.610802	 stepsize= 1.000000 
-dualbound = 3048421.875286, lowerbound=1218240.875286, norm of subgrad 1104.402044	dualbound = 3048421.875286, lowerbound=1218240.875286, norm of subgrad 39.533003	 stepsize= 1.000000 
-dualbound = 3048558.896634, lowerbound=1219956.896634, norm of subgrad 1105.136144	dualbound = 3048558.896634, lowerbound=1219956.896634, norm of subgrad 38.807491	 stepsize= 1.000000 
-dualbound = 3048698.663807, lowerbound=1218750.663807, norm of subgrad 1104.607470	dualbound = 3048698.663807, lowerbound=1218750.663807, norm of subgrad 39.328961	 stepsize= 1.000000 
-dualbound = 3048795.114855, lowerbound=1223546.114855, norm of subgrad 1106.786391	dualbound = 3048795.114855, lowerbound=1223546.114855, norm of subgrad 39.069823	 stepsize= 1.000000 
-dualbound = 3048939.892481, lowerbound=1220874.892481, norm of subgrad 1105.541448	dualbound = 3048939.892481, lowerbound=1220874.892481, norm of subgrad 38.623537	 stepsize= 1.000000 
-dualbound = 3049052.987052, lowerbound=1221974.987052, norm of subgrad 1106.023954	dualbound = 3049052.987052, lowerbound=1221974.987052, norm of subgrad 37.776905	 stepsize= 1.000000 
-dualbound = 3049210.986699, lowerbound=1217496.986699, norm of subgrad 1104.007693	dualbound = 3049210.986699, lowerbound=1217496.986699, norm of subgrad 38.652292	 stepsize= 1.000000 
-dualbound = 3049279.044491, lowerbound=1224082.044491, norm of subgrad 1107.014925	dualbound = 3049279.044491, lowerbound=1224082.044491, norm of subgrad 38.315242	 stepsize= 1.000000 
-dualbound = 3049418.484931, lowerbound=1220485.484931, norm of subgrad 1105.391100	dualbound = 3049418.484931, lowerbound=1220485.484931, norm of subgrad 39.286645	 stepsize= 1.000000 
-dualbound = 3049503.380060, lowerbound=1221593.380060, norm of subgrad 1105.898449	dualbound = 3049503.380060, lowerbound=1221593.380060, norm of subgrad 38.767191	 stepsize= 1.000000 
-dualbound = 3049660.338329, lowerbound=1218765.338329, norm of subgrad 1104.637650	dualbound = 3049660.338329, lowerbound=1218765.338329, norm of subgrad 40.198983	 stepsize= 1.000000 
-dualbound = 3049745.228390, lowerbound=1225356.228390, norm of subgrad 1107.595246	dualbound = 3049745.228390, lowerbound=1225356.228390, norm of subgrad 38.676738	 stepsize= 1.000000 
-dualbound = 3049912.218512, lowerbound=1213605.218512, norm of subgrad 1102.299514	dualbound = 3049912.218512, lowerbound=1213605.218512, norm of subgrad 40.323568	 stepsize= 1.000000 
-dualbound = 3050002.622941, lowerbound=1223391.622941, norm of subgrad 1106.685874	dualbound = 3050002.622941, lowerbound=1223391.622941, norm of subgrad 38.110424	 stepsize= 1.000000 
-dualbound = 3050167.679132, lowerbound=1222099.679132, norm of subgrad 1106.109253	dualbound = 3050167.679132, lowerbound=1222099.679132, norm of subgrad 39.281754	 stepsize= 1.000000 
-dualbound = 3050254.578774, lowerbound=1220032.578774, norm of subgrad 1105.175361	dualbound = 3050254.578774, lowerbound=1220032.578774, norm of subgrad 38.300126	 stepsize= 1.000000 
-dualbound = 3050406.613877, lowerbound=1221816.613877, norm of subgrad 1105.974509	dualbound = 3050406.613877, lowerbound=1221816.613877, norm of subgrad 38.923452	 stepsize= 1.000000 
-dualbound = 3050498.251632, lowerbound=1217050.251632, norm of subgrad 1103.813051	dualbound = 3050498.251632, lowerbound=1217050.251632, norm of subgrad 38.008391	 stepsize= 1.000000 
-dualbound = 3050634.829008, lowerbound=1219527.829008, norm of subgrad 1104.920734	dualbound = 3050634.829008, lowerbound=1219527.829008, norm of subgrad 38.191326	 stepsize= 1.000000 
-dualbound = 3050755.393268, lowerbound=1217832.393268, norm of subgrad 1104.153247	dualbound = 3050755.393268, lowerbound=1217832.393268, norm of subgrad 37.981104	 stepsize= 1.000000 
-dualbound = 3050874.875606, lowerbound=1223348.875606, norm of subgrad 1106.674241	dualbound = 3050874.875606, lowerbound=1223348.875606, norm of subgrad 38.710236	 stepsize= 1.000000 
-dualbound = 3050998.721331, lowerbound=1217677.721331, norm of subgrad 1104.094978	dualbound = 3050998.721331, lowerbound=1217677.721331, norm of subgrad 38.364642	 stepsize= 1.000000 
-dualbound = 3051112.019093, lowerbound=1221526.019093, norm of subgrad 1105.873871	dualbound = 3051112.019093, lowerbound=1221526.019093, norm of subgrad 39.297554	 stepsize= 1.000000 
-dualbound = 3051202.974605, lowerbound=1216282.974605, norm of subgrad 1103.476314	dualbound = 3051202.974605, lowerbound=1216282.974605, norm of subgrad 38.313908	 stepsize= 1.000000 
-dualbound = 3051359.891985, lowerbound=1224234.891985, norm of subgrad 1107.061377	dualbound = 3051359.891985, lowerbound=1224234.891985, norm of subgrad 38.819034	 stepsize= 1.000000 
-dualbound = 3051461.421875, lowerbound=1221914.421875, norm of subgrad 1106.014657	dualbound = 3051461.421875, lowerbound=1221914.421875, norm of subgrad 38.151407	 stepsize= 1.000000 
-dualbound = 3051594.260418, lowerbound=1219323.260418, norm of subgrad 1104.846261	dualbound = 3051594.260418, lowerbound=1219323.260418, norm of subgrad 38.663142	 stepsize= 1.000000 
-dualbound = 3051720.312377, lowerbound=1219740.312377, norm of subgrad 1105.063035	dualbound = 3051720.312377, lowerbound=1219740.312377, norm of subgrad 39.370699	 stepsize= 1.000000 
-dualbound = 3051826.069132, lowerbound=1221432.069132, norm of subgrad 1105.828680	dualbound = 3051826.069132, lowerbound=1221432.069132, norm of subgrad 39.124887	 stepsize= 1.000000 
-dualbound = 3051943.310879, lowerbound=1223073.310879, norm of subgrad 1106.538888	dualbound = 3051943.310879, lowerbound=1223073.310879, norm of subgrad 38.369803	 stepsize= 1.000000 
-dualbound = 3052079.515735, lowerbound=1223399.515735, norm of subgrad 1106.696668	dualbound = 3052079.515735, lowerbound=1223399.515735, norm of subgrad 38.912785	 stepsize= 1.000000 
-dualbound = 3052185.716155, lowerbound=1224793.716155, norm of subgrad 1107.324576	dualbound = 3052185.716155, lowerbound=1224793.716155, norm of subgrad 38.473373	 stepsize= 1.000000 
-dualbound = 3052303.655909, lowerbound=1218583.655909, norm of subgrad 1104.535041	dualbound = 3052303.655909, lowerbound=1218583.655909, norm of subgrad 39.140002	 stepsize= 1.000000 
-dualbound = 3052409.145951, lowerbound=1216982.145951, norm of subgrad 1103.801226	dualbound = 3052409.145951, lowerbound=1216982.145951, norm of subgrad 38.736159	 stepsize= 1.000000 
-dualbound = 3052544.193319, lowerbound=1220122.193319, norm of subgrad 1105.202331	dualbound = 3052544.193319, lowerbound=1220122.193319, norm of subgrad 38.536312	 stepsize= 1.000000 
-dualbound = 3052688.084547, lowerbound=1220650.084547, norm of subgrad 1105.423487	dualbound = 3052688.084547, lowerbound=1220650.084547, norm of subgrad 38.143036	 stepsize= 1.000000 
-dualbound = 3052809.988196, lowerbound=1219651.988196, norm of subgrad 1104.995470	dualbound = 3052809.988196, lowerbound=1219651.988196, norm of subgrad 38.534448	 stepsize= 1.000000 
-dualbound = 3052908.017761, lowerbound=1223362.017761, norm of subgrad 1106.686504	dualbound = 3052908.017761, lowerbound=1223362.017761, norm of subgrad 38.613852	 stepsize= 1.000000 
-dualbound = 3053014.857935, lowerbound=1224184.857935, norm of subgrad 1107.070846	dualbound = 3053014.857935, lowerbound=1224184.857935, norm of subgrad 39.087596	 stepsize= 1.000000 
-dualbound = 3053130.334521, lowerbound=1220244.334521, norm of subgrad 1105.275683	dualbound = 3053130.334521, lowerbound=1220244.334521, norm of subgrad 38.800471	 stepsize= 1.000000 
-dualbound = 3053272.783109, lowerbound=1220743.783109, norm of subgrad 1105.476722	dualbound = 3053272.783109, lowerbound=1220743.783109, norm of subgrad 38.437593	 stepsize= 1.000000 
-dualbound = 3053415.055221, lowerbound=1222856.055221, norm of subgrad 1106.399139	dualbound = 3053415.055221, lowerbound=1222856.055221, norm of subgrad 37.486959	 stepsize= 1.000000 
-dualbound = 3053534.384384, lowerbound=1221755.384384, norm of subgrad 1105.940498	dualbound = 3053534.384384, lowerbound=1221755.384384, norm of subgrad 38.318783	 stepsize= 1.000000 
-dualbound = 3053612.156071, lowerbound=1221925.156071, norm of subgrad 1106.025839	dualbound = 3053612.156071, lowerbound=1221925.156071, norm of subgrad 38.023305	 stepsize= 1.000000 
-dualbound = 3053739.978826, lowerbound=1217054.978826, norm of subgrad 1103.817004	dualbound = 3053739.978826, lowerbound=1217054.978826, norm of subgrad 38.533398	 stepsize= 1.000000 
-dualbound = 3053863.002943, lowerbound=1222098.002943, norm of subgrad 1106.086345	dualbound = 3053863.002943, lowerbound=1222098.002943, norm of subgrad 38.105434	 stepsize= 1.000000 
-dualbound = 3054012.205184, lowerbound=1221164.205184, norm of subgrad 1105.667764	dualbound = 3054012.205184, lowerbound=1221164.205184, norm of subgrad 38.551294	 stepsize= 1.000000 
-dualbound = 3054104.274353, lowerbound=1221099.274353, norm of subgrad 1105.641567	dualbound = 3054104.274353, lowerbound=1221099.274353, norm of subgrad 37.895503	 stepsize= 1.000000 
-dualbound = 3054205.034524, lowerbound=1223514.034524, norm of subgrad 1106.741178	dualbound = 3054205.034524, lowerbound=1223514.034524, norm of subgrad 38.246048	 stepsize= 1.000000 
-dualbound = 3054344.462624, lowerbound=1221612.462624, norm of subgrad 1105.893061	dualbound = 3054344.462624, lowerbound=1221612.462624, norm of subgrad 39.069529	 stepsize= 1.000000 
-dualbound = 3054470.725503, lowerbound=1224690.725503, norm of subgrad 1107.256396	dualbound = 3054470.725503, lowerbound=1224690.725503, norm of subgrad 38.108567	 stepsize= 1.000000 
-dualbound = 3054584.404867, lowerbound=1223765.404867, norm of subgrad 1106.859704	dualbound = 3054584.404867, lowerbound=1223765.404867, norm of subgrad 38.557481	 stepsize= 1.000000 
-dualbound = 3054716.686536, lowerbound=1223342.686536, norm of subgrad 1106.668734	dualbound = 3054716.686536, lowerbound=1223342.686536, norm of subgrad 38.797960	 stepsize= 1.000000 
-dualbound = 3054812.243117, lowerbound=1222901.243117, norm of subgrad 1106.456616	dualbound = 3054812.243117, lowerbound=1222901.243117, norm of subgrad 37.954665	 stepsize= 1.000000 
-dualbound = 3054921.275273, lowerbound=1218016.275273, norm of subgrad 1104.265039	dualbound = 3054921.275273, lowerbound=1218016.275273, norm of subgrad 38.652712	 stepsize= 1.000000 
-dualbound = 3055054.747732, lowerbound=1227919.747732, norm of subgrad 1108.760005	dualbound = 3055054.747732, lowerbound=1227919.747732, norm of subgrad 39.528122	 stepsize= 1.000000 
-dualbound = 3055161.463220, lowerbound=1214435.463220, norm of subgrad 1102.618004	dualbound = 3055161.463220, lowerbound=1214435.463220, norm of subgrad 37.917219	 stepsize= 1.000000 
-dualbound = 3055321.590558, lowerbound=1220839.590558, norm of subgrad 1105.501963	dualbound = 3055321.590558, lowerbound=1220839.590558, norm of subgrad 38.146131	 stepsize= 1.000000 
-dualbound = 3055425.803749, lowerbound=1217998.803749, norm of subgrad 1104.248977	dualbound = 3055425.803749, lowerbound=1217998.803749, norm of subgrad 38.356397	 stepsize= 1.000000 
-dualbound = 3055541.987978, lowerbound=1222619.987978, norm of subgrad 1106.309174	dualbound = 3055541.987978, lowerbound=1222619.987978, norm of subgrad 37.632223	 stepsize= 1.000000 
-dualbound = 3055668.282589, lowerbound=1222474.282589, norm of subgrad 1106.260043	dualbound = 3055668.282589, lowerbound=1222474.282589, norm of subgrad 38.253034	 stepsize= 1.000000 
-dualbound = 3055782.474499, lowerbound=1221555.474499, norm of subgrad 1105.852827	dualbound = 3055782.474499, lowerbound=1221555.474499, norm of subgrad 38.330039	 stepsize= 1.000000 
-dualbound = 3055879.969097, lowerbound=1217912.969097, norm of subgrad 1104.244071	dualbound = 3055879.969097, lowerbound=1217912.969097, norm of subgrad 39.236394	 stepsize= 1.000000 
-dualbound = 3055999.431967, lowerbound=1226465.431967, norm of subgrad 1108.087737	dualbound = 3055999.431967, lowerbound=1226465.431967, norm of subgrad 38.890396	 stepsize= 1.000000 
-dualbound = 3056149.588602, lowerbound=1222485.588602, norm of subgrad 1106.302666	dualbound = 3056149.588602, lowerbound=1222485.588602, norm of subgrad 39.625202	 stepsize= 1.000000 
-dualbound = 3056225.876901, lowerbound=1224449.876901, norm of subgrad 1107.173373	dualbound = 3056225.876901, lowerbound=1224449.876901, norm of subgrad 38.200632	 stepsize= 1.000000 
-dualbound = 3056358.945733, lowerbound=1221368.945733, norm of subgrad 1105.789286	dualbound = 3056358.945733, lowerbound=1221368.945733, norm of subgrad 39.167191	 stepsize= 1.000000 
-dualbound = 3056482.557107, lowerbound=1224757.557107, norm of subgrad 1107.282962	dualbound = 3056482.557107, lowerbound=1224757.557107, norm of subgrad 37.968558	 stepsize= 1.000000 
-dualbound = 3056608.351681, lowerbound=1220195.351681, norm of subgrad 1105.224571	dualbound = 3056608.351681, lowerbound=1220195.351681, norm of subgrad 38.102422	 stepsize= 1.000000 
-dualbound = 3056741.027729, lowerbound=1219091.027729, norm of subgrad 1104.732107	dualbound = 3056741.027729, lowerbound=1219091.027729, norm of subgrad 38.401511	 stepsize= 1.000000 
-dualbound = 3056846.618292, lowerbound=1226282.618292, norm of subgrad 1107.971849	dualbound = 3056846.618292, lowerbound=1226282.618292, norm of subgrad 37.743749	 stepsize= 1.000000 
-dualbound = 3056962.571455, lowerbound=1221580.571455, norm of subgrad 1105.891302	dualbound = 3056962.571455, lowerbound=1221580.571455, norm of subgrad 39.127397	 stepsize= 1.000000 
-dualbound = 3057087.304326, lowerbound=1222909.304326, norm of subgrad 1106.507706	dualbound = 3057087.304326, lowerbound=1222909.304326, norm of subgrad 39.682904	 stepsize= 1.000000 
-dualbound = 3057172.821616, lowerbound=1222012.821616, norm of subgrad 1106.059140	dualbound = 3057172.821616, lowerbound=1222012.821616, norm of subgrad 37.940971	 stepsize= 1.000000 
-dualbound = 3057331.258801, lowerbound=1217290.258801, norm of subgrad 1103.909987	dualbound = 3057331.258801, lowerbound=1217290.258801, norm of subgrad 38.541370	 stepsize= 1.000000 
-dualbound = 3057443.528607, lowerbound=1226688.528607, norm of subgrad 1108.170352	dualbound = 3057443.528607, lowerbound=1226688.528607, norm of subgrad 38.278843	 stepsize= 1.000000 
-dualbound = 3057543.642182, lowerbound=1223117.642182, norm of subgrad 1106.539490	dualbound = 3057543.642182, lowerbound=1223117.642182, norm of subgrad 37.578100	 stepsize= 1.000000 
-dualbound = 3057685.698999, lowerbound=1222530.698999, norm of subgrad 1106.282378	dualbound = 3057685.698999, lowerbound=1222530.698999, norm of subgrad 38.367393	 stepsize= 1.000000 
-dualbound = 3057789.101472, lowerbound=1221136.101472, norm of subgrad 1105.677214	dualbound = 3057789.101472, lowerbound=1221136.101472, norm of subgrad 38.592777	 stepsize= 1.000000 
-dualbound = 3057892.034840, lowerbound=1222931.034840, norm of subgrad 1106.466012	dualbound = 3057892.034840, lowerbound=1222931.034840, norm of subgrad 37.933275	 stepsize= 1.000000 
-dualbound = 3058055.028405, lowerbound=1223591.028405, norm of subgrad 1106.758342	dualbound = 3058055.028405, lowerbound=1223591.028405, norm of subgrad 38.548587	 stepsize= 1.000000 
-dualbound = 3058138.634126, lowerbound=1225307.634126, norm of subgrad 1107.563377	dualbound = 3058138.634126, lowerbound=1225307.634126, norm of subgrad 38.374545	 stepsize= 1.000000 
-dualbound = 3058262.319635, lowerbound=1222519.319635, norm of subgrad 1106.308420	dualbound = 3058262.319635, lowerbound=1222519.319635, norm of subgrad 39.021603	 stepsize= 1.000000 
-dualbound = 3058376.083629, lowerbound=1216111.083629, norm of subgrad 1103.410660	dualbound = 3058376.083629, lowerbound=1216111.083629, norm of subgrad 38.958491	 stepsize= 1.000000 
-dualbound = 3058492.154372, lowerbound=1229005.154372, norm of subgrad 1109.234490	dualbound = 3058492.154372, lowerbound=1229005.154372, norm of subgrad 38.885354	 stepsize= 1.000000 
-dualbound = 3058604.629258, lowerbound=1222129.629258, norm of subgrad 1106.139968	dualbound = 3058604.629258, lowerbound=1222129.629258, norm of subgrad 39.095714	 stepsize= 1.000000 
-dualbound = 3058736.056127, lowerbound=1223418.056127, norm of subgrad 1106.710466	dualbound = 3058736.056127, lowerbound=1223418.056127, norm of subgrad 39.005472	 stepsize= 1.000000 
-dualbound = 3058844.081823, lowerbound=1217139.081823, norm of subgrad 1103.899036	dualbound = 3058844.081823, lowerbound=1217139.081823, norm of subgrad 39.522471	 stepsize= 1.000000 
-dualbound = 3058949.703673, lowerbound=1222048.703673, norm of subgrad 1106.107004	dualbound = 3058949.703673, lowerbound=1222048.703673, norm of subgrad 39.110380	 stepsize= 1.000000 
-dualbound = 3059093.793035, lowerbound=1220735.793035, norm of subgrad 1105.483059	dualbound = 3059093.793035, lowerbound=1220735.793035, norm of subgrad 38.743895	 stepsize= 1.000000 
-dualbound = 3059214.846065, lowerbound=1220452.846065, norm of subgrad 1105.346935	dualbound = 3059214.846065, lowerbound=1220452.846065, norm of subgrad 38.210640	 stepsize= 1.000000 
-dualbound = 3059373.702164, lowerbound=1223670.702164, norm of subgrad 1106.778073	dualbound = 3059373.702164, lowerbound=1223670.702164, norm of subgrad 38.024415	 stepsize= 1.000000 
-dualbound = 3059458.090818, lowerbound=1225162.090818, norm of subgrad 1107.482772	dualbound = 3059458.090818, lowerbound=1225162.090818, norm of subgrad 37.952453	 stepsize= 1.000000 
-dualbound = 3059555.109149, lowerbound=1219754.109149, norm of subgrad 1105.043940	dualbound = 3059555.109149, lowerbound=1219754.109149, norm of subgrad 38.275558	 stepsize= 1.000000 
-dualbound = 3059688.845966, lowerbound=1224913.845966, norm of subgrad 1107.363918	dualbound = 3059688.845966, lowerbound=1224913.845966, norm of subgrad 38.402302	 stepsize= 1.000000 
-dualbound = 3059789.583613, lowerbound=1225323.583613, norm of subgrad 1107.552520	dualbound = 3059789.583613, lowerbound=1225323.583613, norm of subgrad 38.075421	 stepsize= 1.000000 
-dualbound = 3059935.857264, lowerbound=1217089.857264, norm of subgrad 1103.839598	dualbound = 3059935.857264, lowerbound=1217089.857264, norm of subgrad 38.965031	 stepsize= 1.000000 
-dualbound = 3060012.556082, lowerbound=1223971.556082, norm of subgrad 1106.963665	dualbound = 3060012.556082, lowerbound=1223971.556082, norm of subgrad 38.388785	 stepsize= 1.000000 
-dualbound = 3060151.619503, lowerbound=1219592.619503, norm of subgrad 1104.965438	dualbound = 3060151.619503, lowerbound=1219592.619503, norm of subgrad 38.666050	 stepsize= 1.000000 
-dualbound = 3060269.949747, lowerbound=1225440.949747, norm of subgrad 1107.584286	dualbound = 3060269.949747, lowerbound=1225440.949747, norm of subgrad 37.687269	 stepsize= 1.000000 
-dualbound = 3060412.547744, lowerbound=1218721.547744, norm of subgrad 1104.579353	dualbound = 3060412.547744, lowerbound=1218721.547744, norm of subgrad 38.943523	 stepsize= 1.000000 
-dualbound = 3060478.255553, lowerbound=1228103.255553, norm of subgrad 1108.825620	dualbound = 3060478.255553, lowerbound=1228103.255553, norm of subgrad 38.166842	 stepsize= 1.000000 
-dualbound = 3060645.590014, lowerbound=1222930.590014, norm of subgrad 1106.478463	dualbound = 3060645.590014, lowerbound=1222930.590014, norm of subgrad 39.132269	 stepsize= 1.000000 
-dualbound = 3060707.214041, lowerbound=1223531.214041, norm of subgrad 1106.766106	dualbound = 3060707.214041, lowerbound=1223531.214041, norm of subgrad 38.231192	 stepsize= 1.000000 
-dualbound = 3060858.447130, lowerbound=1222776.447130, norm of subgrad 1106.419652	dualbound = 3060858.447130, lowerbound=1222776.447130, norm of subgrad 39.233061	 stepsize= 1.000000 
-dualbound = 3060959.349775, lowerbound=1226990.349775, norm of subgrad 1108.309681	dualbound = 3060959.349775, lowerbound=1226990.349775, norm of subgrad 38.221756	 stepsize= 1.000000 
-dualbound = 3061115.681258, lowerbound=1221664.681258, norm of subgrad 1105.881405	dualbound = 3061115.681258, lowerbound=1221664.681258, norm of subgrad 38.279648	 stepsize= 1.000000 
-dualbound = 3061219.534483, lowerbound=1221795.534483, norm of subgrad 1105.946895	dualbound = 3061219.534483, lowerbound=1221795.534483, norm of subgrad 37.773711	 stepsize= 1.000000 
-dualbound = 3061348.640368, lowerbound=1221709.640368, norm of subgrad 1105.935640	dualbound = 3061348.640368, lowerbound=1221709.640368, norm of subgrad 38.898662	 stepsize= 1.000000 
-dualbound = 3061435.076794, lowerbound=1223958.076794, norm of subgrad 1106.956222	dualbound = 3061435.076794, lowerbound=1223958.076794, norm of subgrad 38.476440	 stepsize= 1.000000 
-dualbound = 3061586.684497, lowerbound=1218807.684497, norm of subgrad 1104.607027	dualbound = 3061586.684497, lowerbound=1218807.684497, norm of subgrad 38.737678	 stepsize= 1.000000 
-dualbound = 3061683.610331, lowerbound=1229789.610331, norm of subgrad 1109.587135	dualbound = 3061683.610331, lowerbound=1229789.610331, norm of subgrad 38.612509	 stepsize= 1.000000 
-dualbound = 3061803.384248, lowerbound=1220457.384248, norm of subgrad 1105.355320	dualbound = 3061803.384248, lowerbound=1220457.384248, norm of subgrad 38.376737	 stepsize= 1.000000 
-dualbound = 3061912.130736, lowerbound=1222124.130736, norm of subgrad 1106.102676	dualbound = 3061912.130736, lowerbound=1222124.130736, norm of subgrad 38.049264	 stepsize= 1.000000 
-dualbound = 3062068.083540, lowerbound=1225821.083540, norm of subgrad 1107.748655	dualbound = 3062068.083540, lowerbound=1225821.083540, norm of subgrad 37.973054	 stepsize= 1.000000 
-dualbound = 3062158.614200, lowerbound=1223481.614200, norm of subgrad 1106.706200	dualbound = 3062158.614200, lowerbound=1223481.614200, norm of subgrad 37.517072	 stepsize= 1.000000 
-dualbound = 3062271.414396, lowerbound=1221990.414396, norm of subgrad 1106.059860	dualbound = 3062271.414396, lowerbound=1221990.414396, norm of subgrad 38.610882	 stepsize= 1.000000 
-dualbound = 3062391.375298, lowerbound=1219223.375298, norm of subgrad 1104.772092	dualbound = 3062391.375298, lowerbound=1219223.375298, norm of subgrad 37.655822	 stepsize= 1.000000 
-dualbound = 3062517.539488, lowerbound=1222336.539488, norm of subgrad 1106.209085	dualbound = 3062517.539488, lowerbound=1222336.539488, norm of subgrad 38.576731	 stepsize= 1.000000 
-dualbound = 3062590.355481, lowerbound=1226684.355481, norm of subgrad 1108.180200	dualbound = 3062590.355481, lowerbound=1226684.355481, norm of subgrad 38.102703	 stepsize= 1.000000 
-dualbound = 3062738.789039, lowerbound=1224656.789039, norm of subgrad 1107.254618	dualbound = 3062738.789039, lowerbound=1224656.789039, norm of subgrad 38.787028	 stepsize= 1.000000 
-dualbound = 3062838.888990, lowerbound=1224512.888990, norm of subgrad 1107.199571	dualbound = 3062838.888990, lowerbound=1224512.888990, norm of subgrad 38.446065	 stepsize= 1.000000 
-dualbound = 3062990.766838, lowerbound=1221084.766838, norm of subgrad 1105.592044	dualbound = 3062990.766838, lowerbound=1221084.766838, norm of subgrad 37.428303	 stepsize= 1.000000 
-dualbound = 3063124.434424, lowerbound=1223985.434424, norm of subgrad 1106.920699	dualbound = 3063124.434424, lowerbound=1223985.434424, norm of subgrad 37.705007	 stepsize= 1.000000 
-dualbound = 3063229.538411, lowerbound=1222654.538411, norm of subgrad 1106.305807	dualbound = 3063229.538411, lowerbound=1222654.538411, norm of subgrad 36.920238	 stepsize= 1.000000 
-dualbound = 3063341.176049, lowerbound=1224893.176049, norm of subgrad 1107.332008	dualbound = 3063341.176049, lowerbound=1224893.176049, norm of subgrad 37.451804	 stepsize= 1.000000 
-dualbound = 3063443.171099, lowerbound=1223902.171099, norm of subgrad 1106.916063	dualbound = 3063443.171099, lowerbound=1223902.171099, norm of subgrad 38.249118	 stepsize= 1.000000 
-dualbound = 3063538.887107, lowerbound=1222167.887107, norm of subgrad 1106.146413	dualbound = 3063538.887107, lowerbound=1222167.887107, norm of subgrad 38.570922	 stepsize= 1.000000 
-dualbound = 3063675.172921, lowerbound=1226563.172921, norm of subgrad 1108.148083	dualbound = 3063675.172921, lowerbound=1226563.172921, norm of subgrad 39.563693	 stepsize= 1.000000 
-dualbound = 3063754.336677, lowerbound=1222161.336677, norm of subgrad 1106.160629	dualbound = 3063754.336677, lowerbound=1222161.336677, norm of subgrad 38.847957	 stepsize= 1.000000 
-dualbound = 3063903.891695, lowerbound=1227821.891695, norm of subgrad 1108.691522	dualbound = 3063903.891695, lowerbound=1227821.891695, norm of subgrad 39.045551	 stepsize= 1.000000 
-dualbound = 3064011.831869, lowerbound=1223491.831869, norm of subgrad 1106.716238	dualbound = 3064011.831869, lowerbound=1223491.831869, norm of subgrad 37.906994	 stepsize= 1.000000 
-dualbound = 3064144.228821, lowerbound=1225491.228821, norm of subgrad 1107.656187	dualbound = 3064144.228821, lowerbound=1225491.228821, norm of subgrad 39.286091	 stepsize= 1.000000 
-dualbound = 3064229.893725, lowerbound=1223020.893725, norm of subgrad 1106.519269	dualbound = 3064229.893725, lowerbound=1223020.893725, norm of subgrad 38.074465	 stepsize= 1.000000 
-dualbound = 3064352.376442, lowerbound=1226473.376442, norm of subgrad 1108.099895	dualbound = 3064352.376442, lowerbound=1226473.376442, norm of subgrad 39.172474	 stepsize= 1.000000 
-dualbound = 3064481.725199, lowerbound=1220893.725199, norm of subgrad 1105.546347	dualbound = 3064481.725199, lowerbound=1220893.725199, norm of subgrad 38.319039	 stepsize= 1.000000 
-dualbound = 3064602.894963, lowerbound=1223563.894963, norm of subgrad 1106.758282	dualbound = 3064602.894963, lowerbound=1223563.894963, norm of subgrad 38.355831	 stepsize= 1.000000 
-dualbound = 3064730.253344, lowerbound=1224341.253344, norm of subgrad 1107.103091	dualbound = 3064730.253344, lowerbound=1224341.253344, norm of subgrad 38.253868	 stepsize= 1.000000 
-dualbound = 3064842.905404, lowerbound=1220161.905404, norm of subgrad 1105.211249	dualbound = 3064842.905404, lowerbound=1220161.905404, norm of subgrad 37.982260	 stepsize= 1.000000 
-dualbound = 3064952.840897, lowerbound=1227853.840897, norm of subgrad 1108.688794	dualbound = 3064952.840897, lowerbound=1227853.840897, norm of subgrad 38.038605	 stepsize= 1.000000 
-dualbound = 3065084.209569, lowerbound=1225217.209569, norm of subgrad 1107.479666	dualbound = 3065084.209569, lowerbound=1225217.209569, norm of subgrad 37.754055	 stepsize= 1.000000 
-dualbound = 3065211.523822, lowerbound=1224460.523822, norm of subgrad 1107.162826	dualbound = 3065211.523822, lowerbound=1224460.523822, norm of subgrad 38.422835	 stepsize= 1.000000 
-dualbound = 3065297.183333, lowerbound=1226570.183333, norm of subgrad 1108.124624	dualbound = 3065297.183333, lowerbound=1226570.183333, norm of subgrad 38.153106	 stepsize= 1.000000 
-dualbound = 3065403.235625, lowerbound=1217158.235625, norm of subgrad 1103.838863	dualbound = 3065403.235625, lowerbound=1217158.235625, norm of subgrad 37.524023	 stepsize= 1.000000 
-dualbound = 3065551.764605, lowerbound=1223685.764605, norm of subgrad 1106.795268	dualbound = 3065551.764605, lowerbound=1223685.764605, norm of subgrad 38.190692	 stepsize= 1.000000 
-dualbound = 3065669.218144, lowerbound=1230165.218144, norm of subgrad 1109.722136	dualbound = 3065669.218144, lowerbound=1230165.218144, norm of subgrad 37.887380	 stepsize= 1.000000 
-dualbound = 3065766.479363, lowerbound=1225554.479363, norm of subgrad 1107.651786	dualbound = 3065766.479363, lowerbound=1225554.479363, norm of subgrad 37.884842	 stepsize= 1.000000 
-dualbound = 3065889.930423, lowerbound=1225926.930423, norm of subgrad 1107.819900	dualbound = 3065889.930423, lowerbound=1225926.930423, norm of subgrad 38.228930	 stepsize= 1.000000 
-dualbound = 3066003.699622, lowerbound=1223039.699622, norm of subgrad 1106.511500	dualbound = 3066003.699622, lowerbound=1223039.699622, norm of subgrad 37.970636	 stepsize= 1.000000 
-dualbound = 3066121.367276, lowerbound=1221355.367276, norm of subgrad 1105.718937	dualbound = 3066121.367276, lowerbound=1221355.367276, norm of subgrad 37.103472	 stepsize= 1.000000 
-dualbound = 3066253.819736, lowerbound=1220806.819736, norm of subgrad 1105.526038	dualbound = 3066253.819736, lowerbound=1220806.819736, norm of subgrad 38.903116	 stepsize= 1.000000 
-dualbound = 3066329.861777, lowerbound=1222618.861777, norm of subgrad 1106.301434	dualbound = 3066329.861777, lowerbound=1222618.861777, norm of subgrad 36.878748	 stepsize= 1.000000 
-dualbound = 3066510.253637, lowerbound=1222868.253637, norm of subgrad 1106.419565	dualbound = 3066510.253637, lowerbound=1222868.253637, norm of subgrad 38.423845	 stepsize= 1.000000 
-dualbound = 3066569.503744, lowerbound=1220006.503744, norm of subgrad 1105.169898	dualbound = 3066569.503744, lowerbound=1220006.503744, norm of subgrad 38.121518	 stepsize= 1.000000 
-dualbound = 3066717.490388, lowerbound=1227837.490388, norm of subgrad 1108.666988	dualbound = 3066717.490388, lowerbound=1227837.490388, norm of subgrad 38.118062	 stepsize= 1.000000 
-dualbound = 3066799.517118, lowerbound=1223191.517118, norm of subgrad 1106.595462	dualbound = 3066799.517118, lowerbound=1223191.517118, norm of subgrad 38.000352	 stepsize= 1.000000 
-dualbound = 3066940.323362, lowerbound=1221819.323362, norm of subgrad 1105.961719	dualbound = 3066940.323362, lowerbound=1221819.323362, norm of subgrad 38.377158	 stepsize= 1.000000 
-dualbound = 3067047.183237, lowerbound=1227921.183237, norm of subgrad 1108.764260	dualbound = 3067047.183237, lowerbound=1227921.183237, norm of subgrad 39.291982	 stepsize= 1.000000 
-dualbound = 3067165.782165, lowerbound=1219444.782165, norm of subgrad 1104.901707	dualbound = 3067165.782165, lowerbound=1219444.782165, norm of subgrad 38.491544	 stepsize= 1.000000 
-dualbound = 3067299.416054, lowerbound=1227486.416054, norm of subgrad 1108.520372	dualbound = 3067299.416054, lowerbound=1227486.416054, norm of subgrad 38.270536	 stepsize= 1.000000 
-dualbound = 3067418.760631, lowerbound=1223018.760631, norm of subgrad 1106.518306	dualbound = 3067418.760631, lowerbound=1223018.760631, norm of subgrad 38.514213	 stepsize= 1.000000 
-dualbound = 3067505.271849, lowerbound=1223824.271849, norm of subgrad 1106.875003	dualbound = 3067505.271849, lowerbound=1223824.271849, norm of subgrad 37.874942	 stepsize= 1.000000 
-dualbound = 3067638.145967, lowerbound=1230225.145967, norm of subgrad 1109.782927	dualbound = 3067638.145967, lowerbound=1230225.145967, norm of subgrad 39.062439	 stepsize= 1.000000 
-dualbound = 3067743.173353, lowerbound=1224423.173353, norm of subgrad 1107.161313	dualbound = 3067743.173353, lowerbound=1224423.173353, norm of subgrad 38.574958	 stepsize= 1.000000 
-dualbound = 3067848.463514, lowerbound=1223623.463514, norm of subgrad 1106.805522	dualbound = 3067848.463514, lowerbound=1223623.463514, norm of subgrad 38.733579	 stepsize= 1.000000 
-dualbound = 3067985.751074, lowerbound=1224248.751074, norm of subgrad 1107.048215	dualbound = 3067985.751074, lowerbound=1224248.751074, norm of subgrad 38.003784	 stepsize= 1.000000 
-dualbound = 3068110.244344, lowerbound=1221183.244344, norm of subgrad 1105.686775	dualbound = 3068110.244344, lowerbound=1221183.244344, norm of subgrad 38.529122	 stepsize= 1.000000 
-dualbound = 3068211.017082, lowerbound=1224539.017082, norm of subgrad 1107.219498	dualbound = 3068211.017082, lowerbound=1224539.017082, norm of subgrad 38.688147	 stepsize= 1.000000 
-dualbound = 3068321.493227, lowerbound=1228884.493227, norm of subgrad 1109.151700	dualbound = 3068321.493227, lowerbound=1228884.493227, norm of subgrad 37.993107	 stepsize= 1.000000 
-dualbound = 3068472.300725, lowerbound=1226096.300725, norm of subgrad 1107.892278	dualbound = 3068472.300725, lowerbound=1226096.300725, norm of subgrad 38.468266	 stepsize= 1.000000 
-dualbound = 3068582.665368, lowerbound=1221489.665368, norm of subgrad 1105.822619	dualbound = 3068582.665368, lowerbound=1221489.665368, norm of subgrad 38.267018	 stepsize= 1.000000 
-dualbound = 3068683.516861, lowerbound=1225470.516861, norm of subgrad 1107.618399	dualbound = 3068683.516861, lowerbound=1225470.516861, norm of subgrad 38.063782	 stepsize= 1.000000 
-dualbound = 3068814.911779, lowerbound=1225070.911779, norm of subgrad 1107.435737	dualbound = 3068814.911779, lowerbound=1225070.911779, norm of subgrad 38.397850	 stepsize= 1.000000 
-dualbound = 3068906.424472, lowerbound=1220305.424472, norm of subgrad 1105.294723	dualbound = 3068906.424472, lowerbound=1220305.424472, norm of subgrad 38.242812	 stepsize= 1.000000 
-dualbound = 3069043.588975, lowerbound=1227607.588975, norm of subgrad 1108.579086	dualbound = 3069043.588975, lowerbound=1227607.588975, norm of subgrad 38.433898	 stepsize= 1.000000 
-dualbound = 3069162.633929, lowerbound=1223807.633929, norm of subgrad 1106.868391	dualbound = 3069162.633929, lowerbound=1223807.633929, norm of subgrad 38.328122	 stepsize= 1.000000 
-dualbound = 3069293.482192, lowerbound=1221905.482192, norm of subgrad 1106.020109	dualbound = 3069293.482192, lowerbound=1221905.482192, norm of subgrad 38.805261	 stepsize= 1.000000 
-dualbound = 3069381.956104, lowerbound=1224540.956104, norm of subgrad 1107.221277	dualbound = 3069381.956104, lowerbound=1224540.956104, norm of subgrad 38.554817	 stepsize= 1.000000 
-dualbound = 3069507.282750, lowerbound=1221477.282750, norm of subgrad 1105.811142	dualbound = 3069507.282750, lowerbound=1221477.282750, norm of subgrad 38.292645	 stepsize= 1.000000 
-dualbound = 3069640.322346, lowerbound=1226610.322346, norm of subgrad 1108.117468	dualbound = 3069640.322346, lowerbound=1226610.322346, norm of subgrad 38.039974	 stepsize= 1.000000 
-dualbound = 3069768.730972, lowerbound=1222267.730972, norm of subgrad 1106.175723	dualbound = 3069768.730972, lowerbound=1222267.730972, norm of subgrad 38.540999	 stepsize= 1.000000 
-dualbound = 3069842.366256, lowerbound=1222507.366256, norm of subgrad 1106.307989	dualbound = 3069842.366256, lowerbound=1222507.366256, norm of subgrad 38.517986	 stepsize= 1.000000 
-dualbound = 3069953.832484, lowerbound=1223812.832484, norm of subgrad 1106.901456	dualbound = 3069953.832484, lowerbound=1223812.832484, norm of subgrad 39.108391	 stepsize= 1.000000 
-dualbound = 3070074.469431, lowerbound=1222034.469431, norm of subgrad 1106.101021	dualbound = 3070074.469431, lowerbound=1222034.469431, norm of subgrad 39.314590	 stepsize= 1.000000 
-dualbound = 3070174.815002, lowerbound=1227288.815002, norm of subgrad 1108.472289	dualbound = 3070174.815002, lowerbound=1227288.815002, norm of subgrad 39.017247	 stepsize= 1.000000 
-dualbound = 3070322.901392, lowerbound=1223504.901392, norm of subgrad 1106.723498	dualbound = 3070322.901392, lowerbound=1223504.901392, norm of subgrad 38.471891	 stepsize= 1.000000 
-dualbound = 3070460.877650, lowerbound=1225612.877650, norm of subgrad 1107.656931	dualbound = 3070460.877650, lowerbound=1225612.877650, norm of subgrad 37.801802	 stepsize= 1.000000 
-dualbound = 3070574.983324, lowerbound=1226017.983324, norm of subgrad 1107.851065	dualbound = 3070574.983324, lowerbound=1226017.983324, norm of subgrad 37.816738	 stepsize= 1.000000 
-dualbound = 3070685.891592, lowerbound=1225339.891592, norm of subgrad 1107.570716	dualbound = 3070685.891592, lowerbound=1225339.891592, norm of subgrad 38.521530	 stepsize= 1.000000 
-dualbound = 3070783.688214, lowerbound=1224353.688214, norm of subgrad 1107.130384	dualbound = 3070783.688214, lowerbound=1224353.688214, norm of subgrad 38.494112	 stepsize= 1.000000 
-dualbound = 3070906.289420, lowerbound=1223256.289420, norm of subgrad 1106.622469	dualbound = 3070906.289420, lowerbound=1223256.289420, norm of subgrad 38.465585	 stepsize= 1.000000 
-dualbound = 3071043.047693, lowerbound=1223865.047693, norm of subgrad 1106.871739	dualbound = 3071043.047693, lowerbound=1223865.047693, norm of subgrad 37.904594	 stepsize= 1.000000 
-dualbound = 3071173.697147, lowerbound=1225497.697147, norm of subgrad 1107.608097	dualbound = 3071173.697147, lowerbound=1225497.697147, norm of subgrad 37.797479	 stepsize= 1.000000 
-dualbound = 3071283.070671, lowerbound=1224418.070671, norm of subgrad 1107.117912	dualbound = 3071283.070671, lowerbound=1224418.070671, norm of subgrad 37.434924	 stepsize= 1.000000 
-dualbound = 3071398.426373, lowerbound=1230247.426373, norm of subgrad 1109.792966	dualbound = 3071398.426373, lowerbound=1230247.426373, norm of subgrad 38.837555	 stepsize= 1.000000 
-dualbound = 3071471.978283, lowerbound=1223740.978283, norm of subgrad 1106.851832	dualbound = 3071471.978283, lowerbound=1223740.978283, norm of subgrad 38.125476	 stepsize= 1.000000 
-dualbound = 3071644.512729, lowerbound=1221133.512729, norm of subgrad 1105.645292	dualbound = 3071644.512729, lowerbound=1221133.512729, norm of subgrad 38.607440	 stepsize= 1.000000 
-dualbound = 3071724.505457, lowerbound=1222707.505457, norm of subgrad 1106.361833	dualbound = 3071724.505457, lowerbound=1222707.505457, norm of subgrad 37.536552	 stepsize= 1.000000 
-dualbound = 3071853.328215, lowerbound=1224287.328215, norm of subgrad 1107.120738	dualbound = 3071853.328215, lowerbound=1224287.328215, norm of subgrad 39.469263	 stepsize= 1.000000 
-dualbound = 3071961.088544, lowerbound=1225366.088544, norm of subgrad 1107.555456	dualbound = 3071961.088544, lowerbound=1225366.088544, norm of subgrad 37.692975	 stepsize= 1.000000 
-dualbound = 3072106.058077, lowerbound=1223268.058077, norm of subgrad 1106.575374	dualbound = 3072106.058077, lowerbound=1223268.058077, norm of subgrad 37.228612	 stepsize= 1.000000 
-dualbound = 3072222.061752, lowerbound=1224897.061752, norm of subgrad 1107.365821	dualbound = 3072222.061752, lowerbound=1224897.061752, norm of subgrad 38.444813	 stepsize= 1.000000 
-dualbound = 3072312.042450, lowerbound=1227818.042450, norm of subgrad 1108.698355	dualbound = 3072312.042450, lowerbound=1227818.042450, norm of subgrad 38.522470	 stepsize= 1.000000 
-dualbound = 3072412.002130, lowerbound=1222076.002130, norm of subgrad 1106.098550	dualbound = 3072412.002130, lowerbound=1222076.002130, norm of subgrad 38.444241	 stepsize= 1.000000 
-dualbound = 3072547.062802, lowerbound=1226071.062802, norm of subgrad 1107.919249	dualbound = 3072547.062802, lowerbound=1226071.062802, norm of subgrad 39.358108	 stepsize= 1.000000 
-dualbound = 3072617.932312, lowerbound=1223406.932312, norm of subgrad 1106.700923	dualbound = 3072617.932312, lowerbound=1223406.932312, norm of subgrad 38.090281	 stepsize= 1.000000 
-dualbound = 3072784.113636, lowerbound=1226672.113636, norm of subgrad 1108.199492	dualbound = 3072784.113636, lowerbound=1226672.113636, norm of subgrad 40.002266	 stepsize= 1.000000 
-dualbound = 3072866.918341, lowerbound=1225357.918341, norm of subgrad 1107.581563	dualbound = 3072866.918341, lowerbound=1225357.918341, norm of subgrad 38.233555	 stepsize= 1.000000 
-dualbound = 3072990.259801, lowerbound=1228233.259801, norm of subgrad 1108.900924	dualbound = 3072990.259801, lowerbound=1228233.259801, norm of subgrad 39.387072	 stepsize= 1.000000 
-dualbound = 3073123.547228, lowerbound=1222679.547228, norm of subgrad 1106.335639	dualbound = 3073123.547228, lowerbound=1222679.547228, norm of subgrad 37.845573	 stepsize= 1.000000 
-dualbound = 3073258.701746, lowerbound=1222820.701746, norm of subgrad 1106.417508	dualbound = 3073258.701746, lowerbound=1222820.701746, norm of subgrad 38.394720	 stepsize= 1.000000 
-dualbound = 3073349.315596, lowerbound=1225632.315596, norm of subgrad 1107.689630	dualbound = 3073349.315596, lowerbound=1225632.315596, norm of subgrad 37.876297	 stepsize= 1.000000 
-dualbound = 3073491.971990, lowerbound=1221132.971990, norm of subgrad 1105.654997	dualbound = 3073491.971990, lowerbound=1221132.971990, norm of subgrad 38.505277	 stepsize= 1.000000 
-dualbound = 3073589.477039, lowerbound=1224425.477039, norm of subgrad 1107.156031	dualbound = 3073589.477039, lowerbound=1224425.477039, norm of subgrad 38.294974	 stepsize= 1.000000 
-dualbound = 3073707.361533, lowerbound=1222098.361533, norm of subgrad 1106.080179	dualbound = 3073707.361533, lowerbound=1222098.361533, norm of subgrad 37.853461	 stepsize= 1.000000 
-dualbound = 3073836.042717, lowerbound=1227559.042717, norm of subgrad 1108.572525	dualbound = 3073836.042717, lowerbound=1227559.042717, norm of subgrad 38.764432	 stepsize= 1.000000 
-dualbound = 3073948.821094, lowerbound=1225397.821094, norm of subgrad 1107.607250	dualbound = 3073948.821094, lowerbound=1225397.821094, norm of subgrad 38.842996	 stepsize= 1.000000 
-dualbound = 3074043.703336, lowerbound=1225375.703336, norm of subgrad 1107.604489	dualbound = 3074043.703336, lowerbound=1225375.703336, norm of subgrad 38.818581	 stepsize= 1.000000 
-dualbound = 3074185.380997, lowerbound=1227498.380997, norm of subgrad 1108.542458	dualbound = 3074185.380997, lowerbound=1227498.380997, norm of subgrad 38.854571	 stepsize= 1.000000 
-dualbound = 3074285.875554, lowerbound=1223126.875554, norm of subgrad 1106.599691	dualbound = 3074285.875554, lowerbound=1223126.875554, norm of subgrad 39.198145	 stepsize= 1.000000 
-dualbound = 3074429.139980, lowerbound=1227550.139980, norm of subgrad 1108.526563	dualbound = 3074429.139980, lowerbound=1227550.139980, norm of subgrad 37.739428	 stepsize= 1.000000 
-dualbound = 3074562.034146, lowerbound=1223523.034146, norm of subgrad 1106.724913	dualbound = 3074562.034146, lowerbound=1223523.034146, norm of subgrad 38.077476	 stepsize= 1.000000 
-dualbound = 3074666.896371, lowerbound=1224869.896371, norm of subgrad 1107.328721	dualbound = 3074666.896371, lowerbound=1224869.896371, norm of subgrad 37.574755	 stepsize= 1.000000 
-dualbound = 3074771.536050, lowerbound=1227882.536050, norm of subgrad 1108.704891	dualbound = 3074771.536050, lowerbound=1227882.536050, norm of subgrad 38.060999	 stepsize= 1.000000 
-dualbound = 3074893.897926, lowerbound=1226100.897926, norm of subgrad 1107.919626	dualbound = 3074893.897926, lowerbound=1226100.897926, norm of subgrad 38.824759	 stepsize= 1.000000 
-dualbound = 3074986.903813, lowerbound=1224352.903813, norm of subgrad 1107.107901	dualbound = 3074986.903813, lowerbound=1224352.903813, norm of subgrad 37.788965	 stepsize= 1.000000 
-dualbound = 3075139.202613, lowerbound=1221428.202613, norm of subgrad 1105.761368	dualbound = 3075139.202613, lowerbound=1221428.202613, norm of subgrad 37.845724	 stepsize= 1.000000 
-dualbound = 3075231.461010, lowerbound=1229841.461010, norm of subgrad 1109.605994	dualbound = 3075231.461010, lowerbound=1229841.461010, norm of subgrad 38.422108	 stepsize= 1.000000 
-dualbound = 3075329.810982, lowerbound=1226646.810981, norm of subgrad 1108.152882	dualbound = 3075329.810982, lowerbound=1226646.810981, norm of subgrad 38.135941	 stepsize= 1.000000 
-dualbound = 3075473.592248, lowerbound=1228337.592248, norm of subgrad 1108.893409	dualbound = 3075473.592248, lowerbound=1228337.592248, norm of subgrad 38.089123	 stepsize= 1.000000 
-dualbound = 3075581.974575, lowerbound=1224191.974575, norm of subgrad 1107.042445	dualbound = 3075581.974575, lowerbound=1224191.974575, norm of subgrad 38.201863	 stepsize= 1.000000 
-dualbound = 3075682.242490, lowerbound=1224680.242490, norm of subgrad 1107.283271	dualbound = 3075682.242490, lowerbound=1224680.242490, norm of subgrad 38.681622	 stepsize= 1.000000 
-dualbound = 3075800.096722, lowerbound=1221603.096722, norm of subgrad 1105.885662	dualbound = 3075800.096722, lowerbound=1221603.096722, norm of subgrad 38.702122	 stepsize= 1.000000 
-dualbound = 3075921.482274, lowerbound=1224048.482274, norm of subgrad 1106.982603	dualbound = 3075921.482274, lowerbound=1224048.482274, norm of subgrad 38.514745	 stepsize= 1.000000 
-dualbound = 3076042.150708, lowerbound=1224253.150708, norm of subgrad 1107.080914	dualbound = 3076042.150708, lowerbound=1224253.150708, norm of subgrad 38.673873	 stepsize= 1.000000 
-dualbound = 3076155.850717, lowerbound=1224912.850717, norm of subgrad 1107.400492	dualbound = 3076155.850717, lowerbound=1224912.850717, norm of subgrad 39.200765	 stepsize= 1.000000 
-dualbound = 3076265.333669, lowerbound=1223787.333669, norm of subgrad 1106.858769	dualbound = 3076265.333669, lowerbound=1223787.333669, norm of subgrad 38.190090	 stepsize= 1.000000 
-dualbound = 3076399.206071, lowerbound=1221774.206071, norm of subgrad 1105.957597	dualbound = 3076399.206071, lowerbound=1221774.206071, norm of subgrad 38.753999	 stepsize= 1.000000 
-dualbound = 3076517.330491, lowerbound=1224159.330491, norm of subgrad 1107.018668	dualbound = 3076517.330491, lowerbound=1224159.330491, norm of subgrad 38.067367	 stepsize= 1.000000 
-dualbound = 3076624.009667, lowerbound=1230594.009667, norm of subgrad 1109.924777	dualbound = 3076624.009667, lowerbound=1230594.009667, norm of subgrad 38.022088	 stepsize= 1.000000 
-dualbound = 3076761.140704, lowerbound=1228619.140704, norm of subgrad 1109.041992	dualbound = 3076761.140704, lowerbound=1228619.140704, norm of subgrad 38.628112	 stepsize= 1.000000 
-dualbound = 3076845.570880, lowerbound=1223319.570880, norm of subgrad 1106.667778	dualbound = 3076845.570880, lowerbound=1223319.570880, norm of subgrad 38.450360	 stepsize= 1.000000 
-dualbound = 3076961.049334, lowerbound=1226930.049334, norm of subgrad 1108.268040	dualbound = 3076961.049334, lowerbound=1226930.049334, norm of subgrad 37.993137	 stepsize= 1.000000 
-dualbound = 3077087.142438, lowerbound=1225606.142438, norm of subgrad 1107.680072	dualbound = 3077087.142438, lowerbound=1225606.142438, norm of subgrad 38.406941	 stepsize= 1.000000 
-dualbound = 3077189.774352, lowerbound=1225659.774352, norm of subgrad 1107.711052	dualbound = 3077189.774352, lowerbound=1225659.774352, norm of subgrad 38.296631	 stepsize= 1.000000 
-dualbound = 3077324.927039, lowerbound=1221937.927039, norm of subgrad 1106.007652	dualbound = 3077324.927039, lowerbound=1221937.927039, norm of subgrad 38.080870	 stepsize= 1.000000 
-dualbound = 3077463.518963, lowerbound=1223347.518963, norm of subgrad 1106.670014	dualbound = 3077463.518963, lowerbound=1223347.518963, norm of subgrad 38.853467	 stepsize= 1.000000 
-dualbound = 3077532.532209, lowerbound=1219586.532209, norm of subgrad 1105.020150	dualbound = 3077532.532209, lowerbound=1219586.532209, norm of subgrad 39.395599	 stepsize= 1.000000 
-dualbound = 3077650.594453, lowerbound=1230684.594453, norm of subgrad 1110.018286	dualbound = 3077650.594453, lowerbound=1230684.594453, norm of subgrad 39.674453	 stepsize= 1.000000 
-dualbound = 3077767.896775, lowerbound=1224619.896775, norm of subgrad 1107.231185	dualbound = 3077767.896775, lowerbound=1224619.896775, norm of subgrad 38.187725	 stepsize= 1.000000 
-dualbound = 3077923.213114, lowerbound=1226924.213114, norm of subgrad 1108.269017	dualbound = 3077923.213114, lowerbound=1226924.213114, norm of subgrad 38.617565	 stepsize= 1.000000 
-dualbound = 3078019.562638, lowerbound=1226800.562638, norm of subgrad 1108.189317	dualbound = 3078019.562638, lowerbound=1226800.562638, norm of subgrad 37.139595	 stepsize= 1.000000 
-dualbound = 3078145.726128, lowerbound=1221404.726128, norm of subgrad 1105.782857	dualbound = 3078145.726128, lowerbound=1221404.726128, norm of subgrad 38.433885	 stepsize= 1.000000 
-dualbound = 3078263.690012, lowerbound=1224658.690012, norm of subgrad 1107.198126	dualbound = 3078263.690012, lowerbound=1224658.690012, norm of subgrad 36.701007	 stepsize= 1.000000 
-dualbound = 3078407.804416, lowerbound=1223704.804416, norm of subgrad 1106.820584	dualbound = 3078407.804416, lowerbound=1223704.804416, norm of subgrad 38.614951	 stepsize= 1.000000 
-dualbound = 3078465.613905, lowerbound=1227294.613905, norm of subgrad 1108.458666	dualbound = 3078465.613905, lowerbound=1227294.613905, norm of subgrad 37.997493	 stepsize= 1.000000 
-dualbound = 3078620.650747, lowerbound=1225410.650747, norm of subgrad 1107.568802	dualbound = 3078620.650747, lowerbound=1225410.650747, norm of subgrad 38.118720	 stepsize= 1.000000 
-dualbound = 3078723.603619, lowerbound=1223544.603619, norm of subgrad 1106.750470	dualbound = 3078723.603619, lowerbound=1223544.603619, norm of subgrad 38.143844	 stepsize= 1.000000 
-dualbound = 3078819.353551, lowerbound=1226493.353551, norm of subgrad 1108.088604	dualbound = 3078819.353551, lowerbound=1226493.353551, norm of subgrad 38.245914	 stepsize= 1.000000 
-dualbound = 3078948.425045, lowerbound=1226519.425045, norm of subgrad 1108.106685	dualbound = 3078948.425045, lowerbound=1226519.425045, norm of subgrad 38.859638	 stepsize= 1.000000 
-dualbound = 3079080.368491, lowerbound=1235193.368491, norm of subgrad 1112.021748	dualbound = 3079080.368491, lowerbound=1235193.368491, norm of subgrad 39.127272	 stepsize= 1.000000 
-dualbound = 3079162.782779, lowerbound=1223693.782779, norm of subgrad 1106.830060	dualbound = 3079162.782779, lowerbound=1223693.782779, norm of subgrad 38.228449	 stepsize= 1.000000 
-dualbound = 3079296.593792, lowerbound=1224322.593792, norm of subgrad 1107.119051	dualbound = 3079296.593792, lowerbound=1224322.593792, norm of subgrad 39.036022	 stepsize= 1.000000 
-dualbound = 3079405.400522, lowerbound=1227162.400522, norm of subgrad 1108.396770	dualbound = 3079405.400522, lowerbound=1227162.400522, norm of subgrad 38.598015	 stepsize= 1.000000 
-dualbound = 3079523.832698, lowerbound=1222482.832698, norm of subgrad 1106.297805	dualbound = 3079523.832698, lowerbound=1222482.832698, norm of subgrad 39.120738	 stepsize= 1.000000 
-dualbound = 3079619.102434, lowerbound=1221923.102434, norm of subgrad 1106.016321	dualbound = 3079619.102434, lowerbound=1221923.102434, norm of subgrad 38.003549	 stepsize= 1.000000 
-dualbound = 3079778.028917, lowerbound=1229760.028917, norm of subgrad 1109.573354	dualbound = 3079778.028917, lowerbound=1229760.028917, norm of subgrad 39.394498	 stepsize= 1.000000 
-dualbound = 3079860.637931, lowerbound=1220595.637931, norm of subgrad 1105.408358	dualbound = 3079860.637931, lowerbound=1220595.637931, norm of subgrad 37.611288	 stepsize= 1.000000 
-dualbound = 3080028.290613, lowerbound=1222535.290613, norm of subgrad 1106.258239	dualbound = 3080028.290613, lowerbound=1222535.290613, norm of subgrad 37.942755	 stepsize= 1.000000 
-dualbound = 3080131.700262, lowerbound=1220240.700262, norm of subgrad 1105.248705	dualbound = 3080131.700262, lowerbound=1220240.700262, norm of subgrad 37.913186	 stepsize= 1.000000 
-dualbound = 3080245.158031, lowerbound=1230270.158031, norm of subgrad 1109.762208	dualbound = 3080245.158031, lowerbound=1230270.158031, norm of subgrad 37.622570	 stepsize= 1.000000 
-dualbound = 3080351.537523, lowerbound=1222021.537523, norm of subgrad 1106.041381	dualbound = 3080351.537523, lowerbound=1222021.537523, norm of subgrad 37.581638	 stepsize= 1.000000 
-dualbound = 3080481.482360, lowerbound=1235618.482360, norm of subgrad 1112.196692	dualbound = 3080481.482360, lowerbound=1235618.482360, norm of subgrad 38.638644	 stepsize= 1.000000 
-dualbound = 3080566.459514, lowerbound=1216245.459514, norm of subgrad 1103.452971	dualbound = 3080566.459514, lowerbound=1216245.459514, norm of subgrad 38.052295	 stepsize= 1.000000 
-dualbound = 3080691.824123, lowerbound=1226034.824123, norm of subgrad 1107.886648	dualbound = 3080691.824123, lowerbound=1226034.824123, norm of subgrad 38.773246	 stepsize= 1.000000 
-dualbound = 3080786.035649, lowerbound=1226519.035649, norm of subgrad 1108.135838	dualbound = 3080786.035649, lowerbound=1226519.035649, norm of subgrad 39.245529	 stepsize= 1.000000 
-dualbound = 3080906.148450, lowerbound=1227752.148450, norm of subgrad 1108.650147	dualbound = 3080906.148450, lowerbound=1227752.148450, norm of subgrad 38.381152	 stepsize= 1.000000 
-dualbound = 3081053.703295, lowerbound=1225874.703295, norm of subgrad 1107.793619	dualbound = 3081053.703295, lowerbound=1225874.703295, norm of subgrad 38.464982	 stepsize= 1.000000 
-dualbound = 3081155.985008, lowerbound=1226984.985008, norm of subgrad 1108.300043	dualbound = 3081155.985008, lowerbound=1226984.985008, norm of subgrad 38.030011	 stepsize= 1.000000 
-dualbound = 3081282.619823, lowerbound=1228961.619823, norm of subgrad 1109.176100	dualbound = 3081282.619823, lowerbound=1228961.619823, norm of subgrad 37.902966	 stepsize= 1.000000 
-dualbound = 3081408.040489, lowerbound=1225637.040489, norm of subgrad 1107.679123	dualbound = 3081408.040489, lowerbound=1225637.040489, norm of subgrad 37.966046	 stepsize= 1.000000 
-dualbound = 3081516.353933, lowerbound=1226876.353933, norm of subgrad 1108.259155	dualbound = 3081516.353933, lowerbound=1226876.353933, norm of subgrad 38.344666	 stepsize= 1.000000 
-dualbound = 3081620.947128, lowerbound=1225107.947128, norm of subgrad 1107.464197	dualbound = 3081620.947128, lowerbound=1225107.947128, norm of subgrad 38.387409	 stepsize= 1.000000 
-dualbound = 3081718.598932, lowerbound=1223325.598932, norm of subgrad 1106.661014	dualbound = 3081718.598932, lowerbound=1223325.598932, norm of subgrad 38.349078	 stepsize= 1.000000 
-dualbound = 3081845.600282, lowerbound=1230007.600282, norm of subgrad 1109.666436	dualbound = 3081845.600282, lowerbound=1230007.600282, norm of subgrad 38.457787	 stepsize= 1.000000 
-dualbound = 3081937.694732, lowerbound=1223045.694732, norm of subgrad 1106.523246	dualbound = 3081937.694732, lowerbound=1223045.694732, norm of subgrad 37.948576	 stepsize= 1.000000 
-dualbound = 3082079.122872, lowerbound=1223354.122872, norm of subgrad 1106.635497	dualbound = 3082079.122872, lowerbound=1223354.122872, norm of subgrad 37.807779	 stepsize= 1.000000 
-dualbound = 3082178.406547, lowerbound=1222826.406547, norm of subgrad 1106.449911	dualbound = 3082178.406547, lowerbound=1222826.406547, norm of subgrad 38.785096	 stepsize= 1.000000 
-dualbound = 3082267.631282, lowerbound=1228955.631282, norm of subgrad 1109.199996	dualbound = 3082267.631282, lowerbound=1228955.631282, norm of subgrad 38.186709	 stepsize= 1.000000 
-dualbound = 3082417.734974, lowerbound=1229765.734974, norm of subgrad 1109.552493	dualbound = 3082417.734974, lowerbound=1229765.734974, norm of subgrad 38.614812	 stepsize= 1.000000 
-dualbound = 3082542.551970, lowerbound=1224169.551970, norm of subgrad 1107.043609	dualbound = 3082542.551970, lowerbound=1224169.551970, norm of subgrad 38.740379	 stepsize= 1.000000 
-dualbound = 3082648.736980, lowerbound=1224300.736980, norm of subgrad 1107.076663	dualbound = 3082648.736980, lowerbound=1224300.736980, norm of subgrad 37.738376	 stepsize= 1.000000 
-dualbound = 3082796.325706, lowerbound=1227595.325706, norm of subgrad 1108.560926	dualbound = 3082796.325706, lowerbound=1227595.325706, norm of subgrad 38.204564	 stepsize= 1.000000 
-dualbound = 3082887.348887, lowerbound=1227158.348887, norm of subgrad 1108.383665	dualbound = 3082887.348887, lowerbound=1227158.348887, norm of subgrad 38.039758	 stepsize= 1.000000 
-dualbound = 3082989.764934, lowerbound=1227788.764934, norm of subgrad 1108.700034	dualbound = 3082989.764934, lowerbound=1227788.764934, norm of subgrad 39.107749	 stepsize= 1.000000 
-dualbound = 3083102.752102, lowerbound=1226348.752102, norm of subgrad 1108.012975	dualbound = 3083102.752102, lowerbound=1226348.752102, norm of subgrad 38.170501	 stepsize= 1.000000 
-dualbound = 3083217.447625, lowerbound=1222868.447625, norm of subgrad 1106.465746	dualbound = 3083217.447625, lowerbound=1222868.447625, norm of subgrad 38.893387	 stepsize= 1.000000 
-dualbound = 3083312.358415, lowerbound=1225358.358415, norm of subgrad 1107.594402	dualbound = 3083312.358415, lowerbound=1225358.358415, norm of subgrad 38.754494	 stepsize= 1.000000 
-dualbound = 3083475.573734, lowerbound=1225934.573734, norm of subgrad 1107.812969	dualbound = 3083475.573734, lowerbound=1225934.573734, norm of subgrad 38.447566	 stepsize= 1.000000 
-dualbound = 3083561.511942, lowerbound=1227712.511942, norm of subgrad 1108.663390	dualbound = 3083561.511942, lowerbound=1227712.511942, norm of subgrad 38.832180	 stepsize= 1.000000 
-dualbound = 3083683.648966, lowerbound=1226496.648966, norm of subgrad 1108.079261	dualbound = 3083683.648966, lowerbound=1226496.648966, norm of subgrad 38.277108	 stepsize= 1.000000 
-dualbound = 3083809.428859, lowerbound=1226535.428859, norm of subgrad 1108.123382	dualbound = 3083809.428859, lowerbound=1226535.428859, norm of subgrad 39.086825	 stepsize= 1.000000 
-dualbound = 3083892.358156, lowerbound=1225325.358156, norm of subgrad 1107.580859	dualbound = 3083892.358156, lowerbound=1225325.358156, norm of subgrad 38.638443	 stepsize= 1.000000 
-dualbound = 3084027.612935, lowerbound=1221735.612935, norm of subgrad 1105.946478	dualbound = 3084027.612935, lowerbound=1221735.612935, norm of subgrad 38.951955	 stepsize= 1.000000 
-dualbound = 3084147.332971, lowerbound=1230659.332971, norm of subgrad 1109.937085	dualbound = 3084147.332971, lowerbound=1230659.332971, norm of subgrad 37.692440	 stepsize= 1.000000 
-dualbound = 3084268.238044, lowerbound=1224214.238044, norm of subgrad 1107.020433	dualbound = 3084268.238044, lowerbound=1224214.238044, norm of subgrad 37.428666	 stepsize= 1.000000 
-dualbound = 3084415.160135, lowerbound=1225933.160135, norm of subgrad 1107.796985	dualbound = 3084415.160135, lowerbound=1225933.160135, norm of subgrad 37.787856	 stepsize= 1.000000 
-dualbound = 3084521.246997, lowerbound=1226780.246997, norm of subgrad 1108.184212	dualbound = 3084521.246997, lowerbound=1226780.246997, norm of subgrad 37.391000	 stepsize= 1.000000 
-dualbound = 3084633.174489, lowerbound=1224943.174489, norm of subgrad 1107.360454	dualbound = 3084633.174489, lowerbound=1224943.174489, norm of subgrad 37.628812	 stepsize= 1.000000 
-dualbound = 3084721.951163, lowerbound=1229261.951163, norm of subgrad 1109.315983	dualbound = 3084721.951163, lowerbound=1229261.951163, norm of subgrad 37.533674	 stepsize= 1.000000 
-dualbound = 3084858.042751, lowerbound=1225536.042751, norm of subgrad 1107.658360	dualbound = 3084858.042751, lowerbound=1225536.042751, norm of subgrad 38.821278	 stepsize= 1.000000 
-dualbound = 3084945.281901, lowerbound=1220942.281901, norm of subgrad 1105.609914	dualbound = 3084945.281901, lowerbound=1220942.281901, norm of subgrad 38.964588	 stepsize= 1.000000 
-dualbound = 3085072.691550, lowerbound=1227255.691550, norm of subgrad 1108.418103	dualbound = 3085072.691550, lowerbound=1227255.691550, norm of subgrad 38.241465	 stepsize= 1.000000 
-dualbound = 3085194.124942, lowerbound=1226288.124942, norm of subgrad 1108.003666	dualbound = 3085194.124942, lowerbound=1226288.124942, norm of subgrad 38.799915	 stepsize= 1.000000 
-dualbound = 3085290.278182, lowerbound=1225803.278182, norm of subgrad 1107.792976	dualbound = 3085290.278182, lowerbound=1225803.278182, norm of subgrad 38.705985	 stepsize= 1.000000 
-dualbound = 3085415.590961, lowerbound=1227863.590961, norm of subgrad 1108.707171	dualbound = 3085415.590961, lowerbound=1227863.590961, norm of subgrad 38.643405	 stepsize= 1.000000 
-dualbound = 3085542.893055, lowerbound=1228923.893055, norm of subgrad 1109.167658	dualbound = 3085542.893055, lowerbound=1228923.893055, norm of subgrad 38.161526	 stepsize= 1.000000 
-dualbound = 3085656.977192, lowerbound=1229515.977192, norm of subgrad 1109.434981	dualbound = 3085656.977192, lowerbound=1229515.977192, norm of subgrad 38.001107	 stepsize= 1.000000 
-dualbound = 3085777.980905, lowerbound=1224716.980905, norm of subgrad 1107.274573	dualbound = 3085777.980905, lowerbound=1224716.980905, norm of subgrad 38.223078	 stepsize= 1.000000 
-dualbound = 3085872.153902, lowerbound=1223192.153902, norm of subgrad 1106.593039	dualbound = 3085872.153902, lowerbound=1223192.153902, norm of subgrad 38.081137	 stepsize= 1.000000 
-dualbound = 3086004.915449, lowerbound=1225004.915449, norm of subgrad 1107.394201	dualbound = 3086004.915449, lowerbound=1225004.915449, norm of subgrad 38.075734	 stepsize= 1.000000 
-dualbound = 3086104.822496, lowerbound=1228270.822496, norm of subgrad 1108.907941	dualbound = 3086104.822496, lowerbound=1228270.822496, norm of subgrad 38.806018	 stepsize= 1.000000 
-dualbound = 3086207.614260, lowerbound=1225144.614260, norm of subgrad 1107.516417	dualbound = 3086207.614260, lowerbound=1225144.614260, norm of subgrad 39.380093	 stepsize= 1.000000 
-dualbound = 3086332.865010, lowerbound=1221735.865010, norm of subgrad 1105.944784	dualbound = 3086332.865010, lowerbound=1221735.865010, norm of subgrad 38.771778	 stepsize= 1.000000 
-dualbound = 3086481.991504, lowerbound=1224698.991504, norm of subgrad 1107.256064	dualbound = 3086481.991504, lowerbound=1224698.991504, norm of subgrad 38.290031	 stepsize= 1.000000 
-dualbound = 3086577.741561, lowerbound=1225824.741561, norm of subgrad 1107.787318	dualbound = 3086577.741561, lowerbound=1225824.741561, norm of subgrad 38.258987	 stepsize= 1.000000 
-dualbound = 3086697.107703, lowerbound=1231654.107703, norm of subgrad 1110.395924	dualbound = 3086697.107703, lowerbound=1231654.107703, norm of subgrad 38.004817	 stepsize= 1.000000 
-dualbound = 3086801.923728, lowerbound=1225654.923728, norm of subgrad 1107.736848	dualbound = 3086801.923728, lowerbound=1225654.923728, norm of subgrad 39.125644	 stepsize= 1.000000 
-dualbound = 3086916.664271, lowerbound=1231202.664271, norm of subgrad 1110.210189	dualbound = 3086916.664271, lowerbound=1231202.664271, norm of subgrad 38.454396	 stepsize= 1.000000 
-dualbound = 3087039.914926, lowerbound=1220298.914926, norm of subgrad 1105.272779	dualbound = 3087039.914926, lowerbound=1220298.914926, norm of subgrad 38.108407	 stepsize= 1.000000 
-dualbound = 3087170.948815, lowerbound=1230571.948815, norm of subgrad 1109.928353	dualbound = 3087170.948815, lowerbound=1230571.948815, norm of subgrad 38.730271	 stepsize= 1.000000 
-dualbound = 3087253.751213, lowerbound=1231681.751213, norm of subgrad 1110.419628	dualbound = 3087253.751213, lowerbound=1231681.751213, norm of subgrad 37.852376	 stepsize= 1.000000 
-dualbound = 3087386.818173, lowerbound=1228211.818173, norm of subgrad 1108.862849	dualbound = 3087386.818173, lowerbound=1228211.818173, norm of subgrad 38.704870	 stepsize= 1.000000 
-dualbound = 3087477.720161, lowerbound=1223120.720161, norm of subgrad 1106.576577	dualbound = 3087477.720161, lowerbound=1223120.720161, norm of subgrad 38.495480	 stepsize= 1.000000 
-dualbound = 3087606.796399, lowerbound=1224933.796399, norm of subgrad 1107.408595	dualbound = 3087606.796399, lowerbound=1224933.796399, norm of subgrad 39.358306	 stepsize= 1.000000 
-dualbound = 3087724.611104, lowerbound=1228457.611104, norm of subgrad 1108.973224	dualbound = 3087724.611104, lowerbound=1228457.611104, norm of subgrad 38.494346	 stepsize= 1.000000 
-dualbound = 3087841.594742, lowerbound=1225097.594742, norm of subgrad 1107.465392	dualbound = 3087841.594742, lowerbound=1225097.594742, norm of subgrad 38.716710	 stepsize= 1.000000 
-dualbound = 3087978.332818, lowerbound=1225335.332818, norm of subgrad 1107.540217	dualbound = 3087978.332818, lowerbound=1225335.332818, norm of subgrad 38.036010	 stepsize= 1.000000 
-dualbound = 3088069.358553, lowerbound=1224092.358553, norm of subgrad 1107.029069	dualbound = 3088069.358553, lowerbound=1224092.358553, norm of subgrad 38.884775	 stepsize= 1.000000 
-dualbound = 3088178.996274, lowerbound=1225881.996274, norm of subgrad 1107.821284	dualbound = 3088178.996274, lowerbound=1225881.996274, norm of subgrad 38.673476	 stepsize= 1.000000 
-dualbound = 3088319.337293, lowerbound=1228199.337293, norm of subgrad 1108.825206	dualbound = 3088319.337293, lowerbound=1228199.337293, norm of subgrad 37.872695	 stepsize= 1.000000 
-dualbound = 3088458.535934, lowerbound=1224654.535934, norm of subgrad 1107.260374	dualbound = 3088458.535934, lowerbound=1224654.535934, norm of subgrad 38.861274	 stepsize= 1.000000 
-dualbound = 3088517.330165, lowerbound=1226776.330165, norm of subgrad 1108.218539	dualbound = 3088517.330165, lowerbound=1226776.330165, norm of subgrad 37.825841	 stepsize= 1.000000 
-dualbound = 3088659.950875, lowerbound=1227483.950875, norm of subgrad 1108.503474	dualbound = 3088659.950875, lowerbound=1227483.950875, norm of subgrad 37.929154	 stepsize= 1.000000 
-dualbound = 3088825.652855, lowerbound=1230219.652855, norm of subgrad 1109.745310	dualbound = 3088825.652855, lowerbound=1230219.652855, norm of subgrad 38.479891	 stepsize= 1.000000 
-dualbound = 3088878.133360, lowerbound=1228129.133360, norm of subgrad 1108.821507	dualbound = 3088878.133360, lowerbound=1228129.133360, norm of subgrad 37.529728	 stepsize= 1.000000 
-dualbound = 3089009.197064, lowerbound=1224592.197064, norm of subgrad 1107.191129	dualbound = 3089009.197064, lowerbound=1224592.197064, norm of subgrad 37.564128	 stepsize= 1.000000 
-dualbound = 3089115.097010, lowerbound=1227087.097010, norm of subgrad 1108.350169	dualbound = 3089115.097010, lowerbound=1227087.097010, norm of subgrad 38.195549	 stepsize= 1.000000 
-dualbound = 3089248.354129, lowerbound=1222750.354129, norm of subgrad 1106.379390	dualbound = 3089248.354129, lowerbound=1222750.354129, norm of subgrad 38.187133	 stepsize= 1.000000 
-dualbound = 3089353.443188, lowerbound=1225945.443188, norm of subgrad 1107.827804	dualbound = 3089353.443188, lowerbound=1225945.443188, norm of subgrad 37.974848	 stepsize= 1.000000 
-dualbound = 3089458.833502, lowerbound=1225076.833502, norm of subgrad 1107.453310	dualbound = 3089458.833502, lowerbound=1225076.833502, norm of subgrad 38.488834	 stepsize= 1.000000 
-dualbound = 3089563.195054, lowerbound=1228592.195054, norm of subgrad 1109.050132	dualbound = 3089563.195054, lowerbound=1228592.195054, norm of subgrad 38.786100	 stepsize= 1.000000 
-dualbound = 3089695.407046, lowerbound=1229315.407046, norm of subgrad 1109.351796	dualbound = 3089695.407046, lowerbound=1229315.407046, norm of subgrad 38.447523	 stepsize= 1.000000 
-dualbound = 3089821.796100, lowerbound=1222968.796100, norm of subgrad 1106.475393	dualbound = 3089821.796100, lowerbound=1222968.796100, norm of subgrad 38.018273	 stepsize= 1.000000 
-dualbound = 3089936.908357, lowerbound=1225933.908357, norm of subgrad 1107.832527	dualbound = 3089936.908357, lowerbound=1225933.908357, norm of subgrad 38.394170	 stepsize= 1.000000 
-dualbound = 3090028.764565, lowerbound=1230921.764565, norm of subgrad 1110.065207	dualbound = 3090028.764565, lowerbound=1230921.764565, norm of subgrad 37.614574	 stepsize= 1.000000 
-dualbound = 3090181.293160, lowerbound=1221738.293160, norm of subgrad 1105.921920	dualbound = 3090181.293160, lowerbound=1221738.293160, norm of subgrad 38.438634	 stepsize= 1.000000 
-dualbound = 3090255.084370, lowerbound=1227301.084370, norm of subgrad 1108.452563	dualbound = 3090255.084370, lowerbound=1227301.084370, norm of subgrad 37.944581	 stepsize= 1.000000 
-dualbound = 3090382.221100, lowerbound=1225579.221100, norm of subgrad 1107.688684	dualbound = 3090382.221100, lowerbound=1225579.221100, norm of subgrad 39.014571	 stepsize= 1.000000 
-dualbound = 3090463.952847, lowerbound=1230188.952847, norm of subgrad 1109.754907	dualbound = 3090463.952847, lowerbound=1230188.952847, norm of subgrad 38.062209	 stepsize= 1.000000 
-dualbound = 3090622.320128, lowerbound=1228998.320128, norm of subgrad 1109.228705	dualbound = 3090622.320128, lowerbound=1228998.320128, norm of subgrad 39.349298	 stepsize= 1.000000 
-dualbound = 3090701.758537, lowerbound=1225508.758537, norm of subgrad 1107.660940	dualbound = 3090701.758537, lowerbound=1225508.758537, norm of subgrad 38.515431	 stepsize= 1.000000 
-dualbound = 3090838.280924, lowerbound=1224930.280924, norm of subgrad 1107.380369	dualbound = 3090838.280924, lowerbound=1224930.280924, norm of subgrad 38.697834	 stepsize= 1.000000 
-dualbound = 3090946.710932, lowerbound=1227236.710932, norm of subgrad 1108.428938	dualbound = 3090946.710932, lowerbound=1227236.710932, norm of subgrad 38.554248	 stepsize= 1.000000 
-dualbound = 3091081.930714, lowerbound=1224486.930714, norm of subgrad 1107.193267	dualbound = 3091081.930714, lowerbound=1224486.930714, norm of subgrad 39.054062	 stepsize= 1.000000 
-dualbound = 3091165.902713, lowerbound=1225334.902713, norm of subgrad 1107.586522	dualbound = 3091165.902713, lowerbound=1225334.902713, norm of subgrad 38.690722	 stepsize= 1.000000 
-dualbound = 3091299.134075, lowerbound=1225099.134075, norm of subgrad 1107.452994	dualbound = 3091299.134075, lowerbound=1225099.134075, norm of subgrad 38.551671	 stepsize= 1.000000 
-dualbound = 3091435.624740, lowerbound=1227177.624740, norm of subgrad 1108.414013	dualbound = 3091435.624740, lowerbound=1227177.624740, norm of subgrad 39.249085	 stepsize= 1.000000 
-dualbound = 3091518.506665, lowerbound=1226466.506665, norm of subgrad 1108.090026	dualbound = 3091518.506665, lowerbound=1226466.506665, norm of subgrad 38.469233	 stepsize= 1.000000 
-dualbound = 3091637.927902, lowerbound=1220113.927902, norm of subgrad 1105.204021	dualbound = 3091637.927902, lowerbound=1220113.927902, norm of subgrad 38.489235	 stepsize= 1.000000 
-dualbound = 3091748.121989, lowerbound=1226504.121989, norm of subgrad 1108.074060	dualbound = 3091748.121989, lowerbound=1226504.121989, norm of subgrad 37.870755	 stepsize= 1.000000 
-dualbound = 3091896.850628, lowerbound=1227784.850628, norm of subgrad 1108.664896	dualbound = 3091896.850628, lowerbound=1227784.850628, norm of subgrad 38.752144	 stepsize= 1.000000 
-dualbound = 3092001.907031, lowerbound=1226520.907031, norm of subgrad 1108.093366	dualbound = 3092001.907031, lowerbound=1226520.907031, norm of subgrad 38.145202	 stepsize= 1.000000 
-dualbound = 3092078.732822, lowerbound=1227952.732822, norm of subgrad 1108.762253	dualbound = 3092078.732822, lowerbound=1227952.732822, norm of subgrad 38.442500	 stepsize= 1.000000 
-dualbound = 3092237.990924, lowerbound=1228825.990924, norm of subgrad 1109.119016	dualbound = 3092237.990924, lowerbound=1228825.990924, norm of subgrad 38.448122	 stepsize= 1.000000 
-dualbound = 3092337.366063, lowerbound=1225589.366063, norm of subgrad 1107.675208	dualbound = 3092337.366063, lowerbound=1225589.366063, norm of subgrad 38.136271	 stepsize= 1.000000 
-dualbound = 3092473.294576, lowerbound=1226619.294576, norm of subgrad 1108.146333	dualbound = 3092473.294576, lowerbound=1226619.294576, norm of subgrad 38.793408	 stepsize= 1.000000 
-dualbound = 3092541.939648, lowerbound=1227401.939648, norm of subgrad 1108.531434	dualbound = 3092541.939648, lowerbound=1227401.939648, norm of subgrad 38.841281	 stepsize= 1.000000 
-dualbound = 3092705.844027, lowerbound=1228040.844027, norm of subgrad 1108.759146	dualbound = 3092705.844027, lowerbound=1228040.844027, norm of subgrad 38.339332	 stepsize= 1.000000 
-dualbound = 3092805.636721, lowerbound=1226105.636721, norm of subgrad 1107.900554	dualbound = 3092805.636721, lowerbound=1226105.636721, norm of subgrad 37.918237	 stepsize= 1.000000 
-dualbound = 3092931.551201, lowerbound=1225127.551201, norm of subgrad 1107.463115	dualbound = 3092931.551201, lowerbound=1225127.551201, norm of subgrad 38.378568	 stepsize= 1.000000 
-dualbound = 3093031.708271, lowerbound=1227524.708271, norm of subgrad 1108.543959	dualbound = 3093031.708271, lowerbound=1227524.708271, norm of subgrad 38.015222	 stepsize= 1.000000 
-dualbound = 3093154.609614, lowerbound=1232703.609614, norm of subgrad 1110.859851	dualbound = 3093154.609614, lowerbound=1232703.609614, norm of subgrad 37.800811	 stepsize= 1.000000 
-dualbound = 3093260.290360, lowerbound=1225272.290360, norm of subgrad 1107.514917	dualbound = 3093260.290360, lowerbound=1225272.290360, norm of subgrad 37.718440	 stepsize= 1.000000 
-dualbound = 3093396.069522, lowerbound=1231670.069522, norm of subgrad 1110.383298	dualbound = 3093396.069522, lowerbound=1231670.069522, norm of subgrad 37.640127	 stepsize= 1.000000 
-dualbound = 3093496.345928, lowerbound=1227741.345928, norm of subgrad 1108.656550	dualbound = 3093496.345928, lowerbound=1227741.345928, norm of subgrad 38.448360	 stepsize= 1.000000 
-dualbound = 3093591.045686, lowerbound=1226502.045686, norm of subgrad 1108.106965	dualbound = 3093591.045686, lowerbound=1226502.045686, norm of subgrad 38.648412	 stepsize= 1.000000 
-dualbound = 3093685.810034, lowerbound=1225753.810034, norm of subgrad 1107.793216	dualbound = 3093685.810034, lowerbound=1225753.810034, norm of subgrad 39.328925	 stepsize= 1.000000 
-dualbound = 3093817.555657, lowerbound=1228843.555657, norm of subgrad 1109.150376	dualbound = 3093817.555657, lowerbound=1228843.555657, norm of subgrad 38.765263	 stepsize= 1.000000 
-dualbound = 3093924.121673, lowerbound=1225980.121673, norm of subgrad 1107.875499	dualbound = 3093924.121673, lowerbound=1225980.121673, norm of subgrad 38.917426	 stepsize= 1.000000 
-dualbound = 3094046.006656, lowerbound=1230707.006656, norm of subgrad 1109.977030	dualbound = 3094046.006656, lowerbound=1230707.006656, norm of subgrad 38.260750	 stepsize= 1.000000 
-dualbound = 3094169.476585, lowerbound=1227906.476585, norm of subgrad 1108.713884	dualbound = 3094169.476585, lowerbound=1227906.476585, norm of subgrad 38.255325	 stepsize= 1.000000 
-dualbound = 3094303.425527, lowerbound=1229162.425527, norm of subgrad 1109.290956	dualbound = 3094303.425527, lowerbound=1229162.425527, norm of subgrad 38.703345	 stepsize= 1.000000 
-dualbound = 3094385.183442, lowerbound=1224738.183442, norm of subgrad 1107.279180	dualbound = 3094385.183442, lowerbound=1224738.183442, norm of subgrad 37.560057	 stepsize= 1.000000 
-dualbound = 3094525.476126, lowerbound=1227525.476126, norm of subgrad 1108.565053	dualbound = 3094525.476126, lowerbound=1227525.476126, norm of subgrad 39.131735	 stepsize= 1.000000 
-dualbound = 3094603.394017, lowerbound=1231383.394017, norm of subgrad 1110.266362	dualbound = 3094603.394017, lowerbound=1231383.394017, norm of subgrad 37.227918	 stepsize= 1.000000 
-dualbound = 3094785.359208, lowerbound=1230413.359208, norm of subgrad 1109.833483	dualbound = 3094785.359208, lowerbound=1230413.359208, norm of subgrad 38.716472	 stepsize= 1.000000 
-dualbound = 3094819.073070, lowerbound=1228264.073070, norm of subgrad 1108.933304	dualbound = 3094819.073070, lowerbound=1228264.073070, norm of subgrad 38.764853	 stepsize= 1.000000 
-dualbound = 3094955.441352, lowerbound=1229882.441352, norm of subgrad 1109.605534	dualbound = 3094955.441352, lowerbound=1229882.441352, norm of subgrad 38.449555	 stepsize= 1.000000 
-dualbound = 3095099.825614, lowerbound=1230386.825614, norm of subgrad 1109.844956	dualbound = 3095099.825614, lowerbound=1230386.825614, norm of subgrad 38.902240	 stepsize= 1.000000 
-dualbound = 3095203.175070, lowerbound=1230302.175070, norm of subgrad 1109.811324	dualbound = 3095203.175070, lowerbound=1230302.175070, norm of subgrad 38.501292	 stepsize= 1.000000 
-dualbound = 3095284.807882, lowerbound=1224338.807882, norm of subgrad 1107.148955	dualbound = 3095284.807882, lowerbound=1224338.807882, norm of subgrad 39.008112	 stepsize= 1.000000 
-dualbound = 3095415.001054, lowerbound=1229437.001054, norm of subgrad 1109.425978	dualbound = 3095415.001054, lowerbound=1229437.001054, norm of subgrad 38.976829	 stepsize= 1.000000 
-dualbound = 3095524.804357, lowerbound=1230538.804357, norm of subgrad 1109.928738	dualbound = 3095524.804357, lowerbound=1230538.804357, norm of subgrad 38.894772	 stepsize= 1.000000 
-dualbound = 3095663.825138, lowerbound=1228278.825138, norm of subgrad 1108.863303	dualbound = 3095663.825138, lowerbound=1228278.825138, norm of subgrad 37.921244	 stepsize= 1.000000 
-dualbound = 3095769.048781, lowerbound=1231308.048781, norm of subgrad 1110.244139	dualbound = 3095769.048781, lowerbound=1231308.048781, norm of subgrad 37.937101	 stepsize= 1.000000 
-dualbound = 3095905.791514, lowerbound=1228391.791514, norm of subgrad 1108.916043	dualbound = 3095905.791514, lowerbound=1228391.791514, norm of subgrad 37.943942	 stepsize= 1.000000 
-dualbound = 3096009.105584, lowerbound=1229334.105584, norm of subgrad 1109.346251	dualbound = 3096009.105584, lowerbound=1229334.105584, norm of subgrad 37.660511	 stepsize= 1.000000 
-dualbound = 3096132.410364, lowerbound=1229181.410364, norm of subgrad 1109.302218	dualbound = 3096132.410364, lowerbound=1229181.410364, norm of subgrad 38.643302	 stepsize= 1.000000 
-dualbound = 3096178.667214, lowerbound=1229803.667214, norm of subgrad 1109.611944	dualbound = 3096178.667214, lowerbound=1229803.667214, norm of subgrad 38.487100	 stepsize= 1.000000 
-dualbound = 3096342.201881, lowerbound=1228961.201881, norm of subgrad 1109.175460	dualbound = 3096342.201881, lowerbound=1228961.201881, norm of subgrad 38.373619	 stepsize= 1.000000 
-dualbound = 3096469.831228, lowerbound=1229950.831228, norm of subgrad 1109.639956	dualbound = 3096469.831228, lowerbound=1229950.831228, norm of subgrad 38.439945	 stepsize= 1.000000 
-dualbound = 3096561.352441, lowerbound=1227341.352441, norm of subgrad 1108.463059	dualbound = 3096561.352441, lowerbound=1227341.352441, norm of subgrad 37.954199	 stepsize= 1.000000 
-dualbound = 3096676.911366, lowerbound=1221843.911366, norm of subgrad 1105.981425	dualbound = 3096676.911366, lowerbound=1221843.911366, norm of subgrad 38.295678	 stepsize= 1.000000 
-dualbound = 3096792.493591, lowerbound=1231248.493591, norm of subgrad 1110.215517	dualbound = 3096792.493591, lowerbound=1231248.493591, norm of subgrad 38.020813	 stepsize= 1.000000 
-dualbound = 3096915.601888, lowerbound=1231511.601888, norm of subgrad 1110.336256	dualbound = 3096915.601888, lowerbound=1231511.601888, norm of subgrad 38.185184	 stepsize= 1.000000 
-dualbound = 3097045.919554, lowerbound=1230042.919554, norm of subgrad 1109.660723	dualbound = 3097045.919554, lowerbound=1230042.919554, norm of subgrad 37.872387	 stepsize= 1.000000 
-dualbound = 3097135.240089, lowerbound=1228809.240089, norm of subgrad 1109.128595	dualbound = 3097135.240089, lowerbound=1228809.240089, norm of subgrad 38.030521	 stepsize= 1.000000 
-dualbound = 3097264.681853, lowerbound=1229448.681853, norm of subgrad 1109.421778	dualbound = 3097264.681853, lowerbound=1229448.681853, norm of subgrad 38.696793	 stepsize= 1.000000 
-dualbound = 3097358.442890, lowerbound=1225179.442890, norm of subgrad 1107.504150	dualbound = 3097358.442890, lowerbound=1225179.442890, norm of subgrad 38.467662	 stepsize= 1.000000 
-dualbound = 3097484.636713, lowerbound=1231687.636713, norm of subgrad 1110.402466	dualbound = 3097484.636713, lowerbound=1231687.636713, norm of subgrad 37.844337	 stepsize= 1.000000 
-dualbound = 3097600.658268, lowerbound=1227176.658268, norm of subgrad 1108.388767	dualbound = 3097600.658268, lowerbound=1227176.658268, norm of subgrad 38.275600	 stepsize= 1.000000 
-dualbound = 3097715.454200, lowerbound=1228458.454200, norm of subgrad 1108.966390	dualbound = 3097715.454200, lowerbound=1228458.454200, norm of subgrad 38.246515	 stepsize= 1.000000 
-dualbound = 3097833.595433, lowerbound=1235771.595433, norm of subgrad 1112.274065	dualbound = 3097833.595433, lowerbound=1235771.595433, norm of subgrad 38.731657	 stepsize= 1.000000 
-dualbound = 3097923.134969, lowerbound=1226490.134969, norm of subgrad 1108.074066	dualbound = 3097923.134969, lowerbound=1226490.134969, norm of subgrad 37.782794	 stepsize= 1.000000 
-dualbound = 3098064.499086, lowerbound=1231540.499086, norm of subgrad 1110.339812	dualbound = 3098064.499086, lowerbound=1231540.499086, norm of subgrad 38.149235	 stepsize= 1.000000 
-dualbound = 3098154.292376, lowerbound=1227906.292376, norm of subgrad 1108.749427	dualbound = 3098154.292376, lowerbound=1227906.292376, norm of subgrad 38.843188	 stepsize= 1.000000 
-dualbound = 3098257.822797, lowerbound=1226616.822797, norm of subgrad 1108.165070	dualbound = 3098257.822797, lowerbound=1226616.822797, norm of subgrad 38.942656	 stepsize= 1.000000 
-dualbound = 3098369.438148, lowerbound=1229387.438148, norm of subgrad 1109.418514	dualbound = 3098369.438148, lowerbound=1229387.438148, norm of subgrad 39.161401	 stepsize= 1.000000 
-dualbound = 3098515.797173, lowerbound=1232580.797173, norm of subgrad 1110.850484	dualbound = 3098515.797173, lowerbound=1232580.797173, norm of subgrad 39.425360	 stepsize= 1.000000 
-dualbound = 3098614.643409, lowerbound=1227706.643409, norm of subgrad 1108.621055	dualbound = 3098614.643409, lowerbound=1227706.643409, norm of subgrad 37.852955	 stepsize= 1.000000 
-dualbound = 3098740.394992, lowerbound=1231731.394992, norm of subgrad 1110.421269	dualbound = 3098740.394992, lowerbound=1231731.394992, norm of subgrad 37.812056	 stepsize= 1.000000 
-dualbound = 3098866.146695, lowerbound=1229796.146695, norm of subgrad 1109.549975	dualbound = 3098866.146695, lowerbound=1229796.146695, norm of subgrad 37.825279	 stepsize= 1.000000 
-dualbound = 3098954.847818, lowerbound=1227172.847818, norm of subgrad 1108.380281	dualbound = 3098954.847818, lowerbound=1227172.847818, norm of subgrad 37.718711	 stepsize= 1.000000 
-dualbound = 3099066.717265, lowerbound=1234209.717265, norm of subgrad 1111.564536	dualbound = 3099066.717265, lowerbound=1234209.717265, norm of subgrad 38.443068	 stepsize= 1.000000 
-dualbound = 3099201.794076, lowerbound=1226737.794076, norm of subgrad 1108.170020	dualbound = 3099201.794076, lowerbound=1226737.794076, norm of subgrad 37.921983	 stepsize= 1.000000 
-dualbound = 3099298.328266, lowerbound=1226277.328266, norm of subgrad 1107.963595	dualbound = 3099298.328266, lowerbound=1226277.328266, norm of subgrad 37.450423	 stepsize= 1.000000 
-dualbound = 3099416.172159, lowerbound=1233877.172159, norm of subgrad 1111.375352	dualbound = 3099416.172159, lowerbound=1233877.172159, norm of subgrad 37.360994	 stepsize= 1.000000 
-dualbound = 3099560.466655, lowerbound=1224075.466655, norm of subgrad 1106.975820	dualbound = 3099560.466655, lowerbound=1224075.466655, norm of subgrad 38.266101	 stepsize= 1.000000 
-dualbound = 3099629.878443, lowerbound=1234111.878443, norm of subgrad 1111.503881	dualbound = 3099629.878443, lowerbound=1234111.878443, norm of subgrad 37.395344	 stepsize= 1.000000 
-dualbound = 3099756.901698, lowerbound=1230558.901698, norm of subgrad 1109.906258	dualbound = 3099756.901698, lowerbound=1230558.901698, norm of subgrad 38.210251	 stepsize= 1.000000 
-dualbound = 3099862.002917, lowerbound=1231612.002917, norm of subgrad 1110.423794	dualbound = 3099862.002917, lowerbound=1231612.002917, norm of subgrad 39.167604	 stepsize= 1.000000 
-dualbound = 3099954.307578, lowerbound=1232025.307578, norm of subgrad 1110.589171	dualbound = 3099954.307578, lowerbound=1232025.307578, norm of subgrad 38.409695	 stepsize= 1.000000 
-dualbound = 3100096.388907, lowerbound=1224594.388907, norm of subgrad 1107.250825	dualbound = 3100096.388907, lowerbound=1224594.388907, norm of subgrad 39.396463	 stepsize= 1.000000 
-dualbound = 3100193.838611, lowerbound=1234271.838611, norm of subgrad 1111.622615	dualbound = 3100193.838611, lowerbound=1234271.838611, norm of subgrad 39.120962	 stepsize= 1.000000 
-dualbound = 3100323.646161, lowerbound=1230746.646161, norm of subgrad 1110.009300	dualbound = 3100323.646161, lowerbound=1230746.646161, norm of subgrad 38.778958	 stepsize= 1.000000 
-dualbound = 3100421.789792, lowerbound=1227683.789792, norm of subgrad 1108.615709	dualbound = 3100421.789792, lowerbound=1227683.789792, norm of subgrad 37.988730	 stepsize= 1.000000 
-dualbound = 3100557.932391, lowerbound=1228934.932391, norm of subgrad 1109.189313	dualbound = 3100557.932391, lowerbound=1228934.932391, norm of subgrad 38.757484	 stepsize= 1.000000 
-dualbound = 3100664.889524, lowerbound=1225577.889524, norm of subgrad 1107.653777	dualbound = 3100664.889524, lowerbound=1225577.889524, norm of subgrad 37.761848	 stepsize= 1.000000 
-dualbound = 3100782.920191, lowerbound=1233109.920191, norm of subgrad 1111.059818	dualbound = 3100782.920191, lowerbound=1233109.920191, norm of subgrad 38.236510	 stepsize= 1.000000 
-dualbound = 3100896.695992, lowerbound=1226686.695992, norm of subgrad 1108.146514	dualbound = 3100896.695992, lowerbound=1226686.695992, norm of subgrad 37.626796	 stepsize= 1.000000 
-dualbound = 3101019.293072, lowerbound=1228611.293072, norm of subgrad 1109.044766	dualbound = 3101019.293072, lowerbound=1228611.293072, norm of subgrad 38.621200	 stepsize= 1.000000 
-dualbound = 3101119.528944, lowerbound=1229104.528944, norm of subgrad 1109.244576	dualbound = 3101119.528944, lowerbound=1229104.528944, norm of subgrad 37.672747	 stepsize= 1.000000 
-dualbound = 3101245.470440, lowerbound=1226118.470440, norm of subgrad 1107.907248	dualbound = 3101245.470440, lowerbound=1226118.470440, norm of subgrad 38.287615	 stepsize= 1.000000 
-dualbound = 3101343.889793, lowerbound=1236041.889793, norm of subgrad 1112.376236	dualbound = 3101343.889793, lowerbound=1236041.889793, norm of subgrad 37.913314	 stepsize= 1.000000 
-dualbound = 3101449.947176, lowerbound=1227385.947176, norm of subgrad 1108.497157	dualbound = 3101449.947176, lowerbound=1227385.947176, norm of subgrad 38.549415	 stepsize= 1.000000 
-dualbound = 3101573.196497, lowerbound=1232376.196497, norm of subgrad 1110.729128	dualbound = 3101573.196497, lowerbound=1232376.196497, norm of subgrad 38.291635	 stepsize= 1.000000 
-dualbound = 3101683.481061, lowerbound=1225280.481061, norm of subgrad 1107.546604	dualbound = 3101683.481061, lowerbound=1225280.481061, norm of subgrad 38.591250	 stepsize= 1.000000 
-dualbound = 3101791.935508, lowerbound=1233959.935508, norm of subgrad 1111.453524	dualbound = 3101791.935508, lowerbound=1233959.935508, norm of subgrad 38.437670	 stepsize= 1.000000 
-dualbound = 3101905.175255, lowerbound=1223803.175255, norm of subgrad 1106.877218	dualbound = 3101905.175255, lowerbound=1223803.175255, norm of subgrad 38.564747	 stepsize= 1.000000 
-dualbound = 3102005.424250, lowerbound=1232081.424250, norm of subgrad 1110.632894	dualbound = 3102005.424250, lowerbound=1232081.424250, norm of subgrad 39.041632	 stepsize= 1.000000 
-dualbound = 3102116.039635, lowerbound=1231077.039635, norm of subgrad 1110.169374	dualbound = 3102116.039635, lowerbound=1231077.039635, norm of subgrad 38.853769	 stepsize= 1.000000 
-dualbound = 3102253.400195, lowerbound=1231008.400195, norm of subgrad 1110.110986	dualbound = 3102253.400195, lowerbound=1231008.400195, norm of subgrad 38.410423	 stepsize= 1.000000 
-dualbound = 3102361.316868, lowerbound=1230122.316868, norm of subgrad 1109.729840	dualbound = 3102361.316868, lowerbound=1230122.316868, norm of subgrad 38.547590	 stepsize= 1.000000 
-dualbound = 3102495.848479, lowerbound=1228412.848479, norm of subgrad 1108.964313	dualbound = 3102495.848479, lowerbound=1228412.848479, norm of subgrad 39.032443	 stepsize= 1.000000 
-dualbound = 3102576.701669, lowerbound=1227389.701669, norm of subgrad 1108.500204	dualbound = 3102576.701669, lowerbound=1227389.701669, norm of subgrad 38.260334	 stepsize= 1.000000 
-dualbound = 3102732.052190, lowerbound=1232526.052190, norm of subgrad 1110.796585	dualbound = 3102732.052190, lowerbound=1232526.052190, norm of subgrad 38.708533	 stepsize= 1.000000 
-dualbound = 3102820.287207, lowerbound=1233279.287207, norm of subgrad 1111.150884	dualbound = 3102820.287207, lowerbound=1233279.287207, norm of subgrad 38.278388	 stepsize= 1.000000 
-dualbound = 3102948.012825, lowerbound=1230966.012825, norm of subgrad 1110.088741	dualbound = 3102948.012825, lowerbound=1230966.012825, norm of subgrad 38.193267	 stepsize= 1.000000 
-dualbound = 3103044.770945, lowerbound=1231085.770945, norm of subgrad 1110.182765	dualbound = 3103044.770945, lowerbound=1231085.770945, norm of subgrad 38.945579	 stepsize= 1.000000 
-dualbound = 3103151.456518, lowerbound=1231221.456518, norm of subgrad 1110.236667	dualbound = 3103151.456518, lowerbound=1231221.456518, norm of subgrad 38.867539	 stepsize= 1.000000 
-dualbound = 3103248.351708, lowerbound=1231824.351708, norm of subgrad 1110.511752	dualbound = 3103248.351708, lowerbound=1231824.351708, norm of subgrad 38.844500	 stepsize= 1.000000 
-dualbound = 3103396.242248, lowerbound=1228708.242248, norm of subgrad 1109.049251	dualbound = 3103396.242248, lowerbound=1228708.242248, norm of subgrad 37.813893	 stepsize= 1.000000 
-dualbound = 3103520.542358, lowerbound=1231101.542358, norm of subgrad 1110.143478	dualbound = 3103520.542358, lowerbound=1231101.542358, norm of subgrad 37.964459	 stepsize= 1.000000 
-dualbound = 3103635.388919, lowerbound=1227265.388919, norm of subgrad 1108.407592	dualbound = 3103635.388919, lowerbound=1227265.388919, norm of subgrad 37.641022	 stepsize= 1.000000 
-dualbound = 3103728.666252, lowerbound=1227861.666252, norm of subgrad 1108.672930	dualbound = 3103728.666252, lowerbound=1227861.666252, norm of subgrad 37.246172	 stepsize= 1.000000 
-dualbound = 3103854.961131, lowerbound=1232648.961131, norm of subgrad 1110.814999	dualbound = 3103854.961131, lowerbound=1232648.961131, norm of subgrad 37.246408	 stepsize= 1.000000 
-dualbound = 3103980.823977, lowerbound=1223917.823977, norm of subgrad 1106.891514	dualbound = 3103980.823977, lowerbound=1223917.823977, norm of subgrad 37.641239	 stepsize= 1.000000 
-dualbound = 3104084.475101, lowerbound=1231807.475101, norm of subgrad 1110.475788	dualbound = 3104084.475101, lowerbound=1231807.475101, norm of subgrad 38.113661	 stepsize= 1.000000 
-dualbound = 3104198.413142, lowerbound=1231995.413142, norm of subgrad 1110.548699	dualbound = 3104198.413142, lowerbound=1231995.413142, norm of subgrad 37.906966	 stepsize= 1.000000 
-dualbound = 3104305.465839, lowerbound=1228006.465839, norm of subgrad 1108.777915	dualbound = 3104305.465839, lowerbound=1228006.465839, norm of subgrad 38.588246	 stepsize= 1.000000 
-dualbound = 3104406.701584, lowerbound=1229059.701584, norm of subgrad 1109.260881	dualbound = 3104406.701584, lowerbound=1229059.701584, norm of subgrad 38.745784	 stepsize= 1.000000 
-dualbound = 3104529.698515, lowerbound=1232682.698515, norm of subgrad 1110.887797	dualbound = 3104529.698515, lowerbound=1232682.698515, norm of subgrad 38.884405	 stepsize= 1.000000 
-dualbound = 3104639.468658, lowerbound=1227811.468658, norm of subgrad 1108.712978	dualbound = 3104639.468658, lowerbound=1227811.468658, norm of subgrad 39.278113	 stepsize= 1.000000 
-dualbound = 3104742.924829, lowerbound=1227494.924829, norm of subgrad 1108.545860	dualbound = 3104742.924829, lowerbound=1227494.924829, norm of subgrad 38.502677	 stepsize= 1.000000 
-dualbound = 3104867.587526, lowerbound=1229577.587526, norm of subgrad 1109.500603	dualbound = 3104867.587526, lowerbound=1229577.587526, norm of subgrad 39.225791	 stepsize= 1.000000 
-dualbound = 3104961.440996, lowerbound=1231222.440996, norm of subgrad 1110.247919	dualbound = 3104961.440996, lowerbound=1231222.440996, norm of subgrad 39.010940	 stepsize= 1.000000 
-dualbound = 3105094.698174, lowerbound=1236182.698174, norm of subgrad 1112.454807	dualbound = 3105094.698174, lowerbound=1236182.698174, norm of subgrad 38.810529	 stepsize= 1.000000 
-dualbound = 3105214.455682, lowerbound=1227130.455682, norm of subgrad 1108.379202	dualbound = 3105214.455682, lowerbound=1227130.455682, norm of subgrad 38.649159	 stepsize= 1.000000 
-dualbound = 3105321.075277, lowerbound=1231559.075277, norm of subgrad 1110.371593	dualbound = 3105321.075277, lowerbound=1231559.075277, norm of subgrad 38.374726	 stepsize= 1.000000 
-dualbound = 3105444.163175, lowerbound=1230863.163175, norm of subgrad 1110.037460	dualbound = 3105444.163175, lowerbound=1230863.163175, norm of subgrad 37.987997	 stepsize= 1.000000 
-dualbound = 3105569.256791, lowerbound=1228520.256791, norm of subgrad 1108.988844	dualbound = 3105569.256791, lowerbound=1228520.256791, norm of subgrad 38.224254	 stepsize= 1.000000 
-dualbound = 3105672.642705, lowerbound=1231955.642705, norm of subgrad 1110.510983	dualbound = 3105672.642705, lowerbound=1231955.642705, norm of subgrad 37.180451	 stepsize= 1.000000 
-dualbound = 3105807.324316, lowerbound=1230780.324316, norm of subgrad 1109.970866	dualbound = 3105807.324316, lowerbound=1230780.324316, norm of subgrad 37.278434	 stepsize= 1.000000 
-dualbound = 3105920.400686, lowerbound=1229177.400686, norm of subgrad 1109.283733	dualbound = 3105920.400686, lowerbound=1229177.400686, norm of subgrad 38.027311	 stepsize= 1.000000 
-dualbound = 3106006.204357, lowerbound=1229768.204357, norm of subgrad 1109.542340	dualbound = 3106006.204357, lowerbound=1229768.204357, norm of subgrad 37.440669	 stepsize= 1.000000 
-dualbound = 3106127.125228, lowerbound=1229282.125228, norm of subgrad 1109.334992	dualbound = 3106127.125228, lowerbound=1229282.125228, norm of subgrad 38.248149	 stepsize= 1.000000 
-dualbound = 3106234.922053, lowerbound=1229629.922053, norm of subgrad 1109.488586	dualbound = 3106234.922053, lowerbound=1229629.922053, norm of subgrad 37.984165	 stepsize= 1.000000 
-dualbound = 3106352.589207, lowerbound=1233331.589207, norm of subgrad 1111.146070	dualbound = 3106352.589207, lowerbound=1233331.589207, norm of subgrad 37.837378	 stepsize= 1.000000 
-dualbound = 3106441.384409, lowerbound=1234169.384409, norm of subgrad 1111.584178	dualbound = 3106441.384409, lowerbound=1234169.384409, norm of subgrad 39.227480	 stepsize= 1.000000 
-dualbound = 3106575.306084, lowerbound=1229739.306084, norm of subgrad 1109.521656	dualbound = 3106575.306084, lowerbound=1229739.306084, norm of subgrad 37.853952	 stepsize= 1.000000 
-dualbound = 3106683.724425, lowerbound=1229740.724425, norm of subgrad 1109.557445	dualbound = 3106683.724425, lowerbound=1229740.724425, norm of subgrad 38.541125	 stepsize= 1.000000 
-dualbound = 3106805.133154, lowerbound=1230413.133154, norm of subgrad 1109.865367	dualbound = 3106805.133154, lowerbound=1230413.133154, norm of subgrad 38.851110	 stepsize= 1.000000 
-dualbound = 3106914.065374, lowerbound=1227401.065374, norm of subgrad 1108.469695	dualbound = 3106914.065374, lowerbound=1227401.065374, norm of subgrad 37.588991	 stepsize= 1.000000 
-dualbound = 3107044.759804, lowerbound=1229091.759804, norm of subgrad 1109.246934	dualbound = 3107044.759804, lowerbound=1229091.759804, norm of subgrad 38.310500	 stepsize= 1.000000 
-dualbound = 3107127.195311, lowerbound=1229501.195311, norm of subgrad 1109.438685	dualbound = 3107127.195311, lowerbound=1229501.195311, norm of subgrad 37.887142	 stepsize= 1.000000 
-dualbound = 3107246.319177, lowerbound=1234500.319177, norm of subgrad 1111.691198	dualbound = 3107246.319177, lowerbound=1234500.319177, norm of subgrad 38.420357	 stepsize= 1.000000 
-dualbound = 3107342.448822, lowerbound=1228481.448822, norm of subgrad 1108.976307	dualbound = 3107342.448822, lowerbound=1228481.448822, norm of subgrad 37.988546	 stepsize= 1.000000 
-dualbound = 3107477.180495, lowerbound=1227446.180495, norm of subgrad 1108.505832	dualbound = 3107477.180495, lowerbound=1227446.180495, norm of subgrad 38.389213	 stepsize= 1.000000 
-dualbound = 3107601.672903, lowerbound=1228245.672903, norm of subgrad 1108.864136	dualbound = 3107601.672903, lowerbound=1228245.672903, norm of subgrad 38.190214	 stepsize= 1.000000 
-dualbound = 3107697.345169, lowerbound=1230089.345169, norm of subgrad 1109.732105	dualbound = 3107697.345169, lowerbound=1230089.345169, norm of subgrad 38.880230	 stepsize= 1.000000 
-dualbound = 3107771.765716, lowerbound=1230762.765716, norm of subgrad 1110.057551	dualbound = 3107771.765716, lowerbound=1230762.765716, norm of subgrad 39.235450	 stepsize= 1.000000 
-dualbound = 3107915.625320, lowerbound=1231401.625320, norm of subgrad 1110.304294	dualbound = 3107915.625320, lowerbound=1231401.625320, norm of subgrad 38.959718	 stepsize= 1.000000 
-dualbound = 3108026.933244, lowerbound=1226808.933244, norm of subgrad 1108.217458	dualbound = 3108026.933244, lowerbound=1226808.933244, norm of subgrad 38.056641	 stepsize= 1.000000 
-dualbound = 3108170.737786, lowerbound=1234191.737786, norm of subgrad 1111.553300	dualbound = 3108170.737786, lowerbound=1234191.737786, norm of subgrad 38.766023	 stepsize= 1.000000 
-dualbound = 3108266.214097, lowerbound=1234660.214097, norm of subgrad 1111.755915	dualbound = 3108266.214097, lowerbound=1234660.214097, norm of subgrad 37.900875	 stepsize= 1.000000 
-dualbound = 3108404.435036, lowerbound=1230806.435036, norm of subgrad 1110.007403	dualbound = 3108404.435036, lowerbound=1230806.435036, norm of subgrad 38.055498	 stepsize= 1.000000 
-dualbound = 3108473.828285, lowerbound=1229869.828285, norm of subgrad 1109.639504	dualbound = 3108473.828285, lowerbound=1229869.828285, norm of subgrad 38.722000	 stepsize= 1.000000 
-dualbound = 3108603.850054, lowerbound=1232900.850054, norm of subgrad 1110.977880	dualbound = 3108603.850054, lowerbound=1232900.850054, norm of subgrad 38.743022	 stepsize= 1.000000 
-dualbound = 3108718.701597, lowerbound=1225841.701597, norm of subgrad 1107.816186	dualbound = 3108718.701597, lowerbound=1225841.701597, norm of subgrad 39.113317	 stepsize= 1.000000 
-dualbound = 3108825.993958, lowerbound=1230902.993958, norm of subgrad 1110.060806	dualbound = 3108825.993958, lowerbound=1230902.993958, norm of subgrad 37.938007	 stepsize= 1.000000 
-dualbound = 3108960.083724, lowerbound=1230562.083724, norm of subgrad 1109.910845	dualbound = 3108960.083724, lowerbound=1230562.083724, norm of subgrad 38.393877	 stepsize= 1.000000 
-dualbound = 3109081.496856, lowerbound=1232006.496856, norm of subgrad 1110.548287	dualbound = 3109081.496856, lowerbound=1232006.496856, norm of subgrad 37.847234	 stepsize= 1.000000 
-dualbound = 3109175.686634, lowerbound=1232974.686634, norm of subgrad 1111.001659	dualbound = 3109175.686634, lowerbound=1232974.686634, norm of subgrad 38.002497	 stepsize= 1.000000 
-dualbound = 3109288.665387, lowerbound=1229671.665387, norm of subgrad 1109.521818	dualbound = 3109288.665387, lowerbound=1229671.665387, norm of subgrad 38.470492	 stepsize= 1.000000 
-dualbound = 3109391.666964, lowerbound=1229814.666964, norm of subgrad 1109.575444	dualbound = 3109391.666964, lowerbound=1229814.666964, norm of subgrad 38.026327	 stepsize= 1.000000 
-dualbound = 3109526.112739, lowerbound=1231471.112739, norm of subgrad 1110.291904	dualbound = 3109526.112739, lowerbound=1231471.112739, norm of subgrad 37.569213	 stepsize= 1.000000 
-dualbound = 3109629.506134, lowerbound=1228704.506134, norm of subgrad 1109.081830	dualbound = 3109629.506134, lowerbound=1228704.506134, norm of subgrad 38.228175	 stepsize= 1.000000 
-dualbound = 3109761.774506, lowerbound=1228095.774506, norm of subgrad 1108.786623	dualbound = 3109761.774506, lowerbound=1228095.774506, norm of subgrad 38.003531	 stepsize= 1.000000 
-dualbound = 3109859.973260, lowerbound=1232309.973260, norm of subgrad 1110.706520	dualbound = 3109859.973260, lowerbound=1232309.973260, norm of subgrad 38.173273	 stepsize= 1.000000 
-dualbound = 3109953.170257, lowerbound=1233658.170257, norm of subgrad 1111.330810	dualbound = 3109953.170257, lowerbound=1233658.170257, norm of subgrad 38.616020	 stepsize= 1.000000 
-dualbound = 3110034.372077, lowerbound=1233077.372077, norm of subgrad 1111.094223	dualbound = 3110034.372077, lowerbound=1233077.372077, norm of subgrad 39.168888	 stepsize= 1.000000 
-dualbound = 3110150.709678, lowerbound=1229547.709678, norm of subgrad 1109.447930	dualbound = 3110150.709678, lowerbound=1229547.709678, norm of subgrad 37.991283	 stepsize= 1.000000 
-dualbound = 3110311.558304, lowerbound=1226327.558304, norm of subgrad 1107.987165	dualbound = 3110311.558304, lowerbound=1226327.558304, norm of subgrad 38.325561	 stepsize= 1.000000 
-dualbound = 3110420.848143, lowerbound=1233951.848143, norm of subgrad 1111.410297	dualbound = 3110420.848143, lowerbound=1233951.848143, norm of subgrad 37.286591	 stepsize= 1.000000 
-dualbound = 3110540.703439, lowerbound=1231506.703439, norm of subgrad 1110.319640	dualbound = 3110540.703439, lowerbound=1231506.703439, norm of subgrad 37.720754	 stepsize= 1.000000 
-dualbound = 3110623.300826, lowerbound=1230216.300826, norm of subgrad 1109.746503	dualbound = 3110623.300826, lowerbound=1230216.300826, norm of subgrad 37.464615	 stepsize= 1.000000 
-dualbound = 3110741.369682, lowerbound=1233749.369682, norm of subgrad 1111.343048	dualbound = 3110741.369682, lowerbound=1233749.369682, norm of subgrad 38.106021	 stepsize= 1.000000 
-dualbound = 3110856.762581, lowerbound=1231355.762581, norm of subgrad 1110.246262	dualbound = 3110856.762581, lowerbound=1231355.762581, norm of subgrad 37.501905	 stepsize= 1.000000 
-dualbound = 3110982.410716, lowerbound=1224592.410716, norm of subgrad 1107.202064	dualbound = 3110982.410716, lowerbound=1224592.410716, norm of subgrad 37.810688	 stepsize= 1.000000 
-dualbound = 3111107.336978, lowerbound=1233228.336978, norm of subgrad 1111.096457	dualbound = 3111107.336978, lowerbound=1233228.336978, norm of subgrad 37.840802	 stepsize= 1.000000 
-dualbound = 3111195.314054, lowerbound=1232810.314054, norm of subgrad 1110.906978	dualbound = 3111195.314054, lowerbound=1232810.314054, norm of subgrad 37.309209	 stepsize= 1.000000 
-dualbound = 3111303.009096, lowerbound=1230414.009096, norm of subgrad 1109.830171	dualbound = 3111303.009096, lowerbound=1230414.009096, norm of subgrad 37.639010	 stepsize= 1.000000 
-dualbound = 3111410.874910, lowerbound=1230728.874910, norm of subgrad 1109.983727	dualbound = 3111410.874910, lowerbound=1230728.874910, norm of subgrad 37.985074	 stepsize= 1.000000 
-dualbound = 3111536.259875, lowerbound=1231356.259875, norm of subgrad 1110.283865	dualbound = 3111536.259875, lowerbound=1231356.259875, norm of subgrad 38.721893	 stepsize= 1.000000 
-dualbound = 3111605.883672, lowerbound=1232719.883672, norm of subgrad 1110.941890	dualbound = 3111605.883672, lowerbound=1232719.883672, norm of subgrad 39.263517	 stepsize= 1.000000 
-dualbound = 3111735.409118, lowerbound=1232329.409118, norm of subgrad 1110.722472	dualbound = 3111735.409118, lowerbound=1232329.409118, norm of subgrad 38.788213	 stepsize= 1.000000 
-dualbound = 3111845.589731, lowerbound=1229183.589731, norm of subgrad 1109.330694	dualbound = 3111845.589731, lowerbound=1229183.589731, norm of subgrad 39.257873	 stepsize= 1.000000 
-dualbound = 3111956.764505, lowerbound=1227753.764505, norm of subgrad 1108.683798	dualbound = 3111956.764505, lowerbound=1227753.764505, norm of subgrad 39.206821	 stepsize= 1.000000 
-dualbound = 3112048.735124, lowerbound=1227910.735124, norm of subgrad 1108.753235	dualbound = 3112048.735124, lowerbound=1227910.735124, norm of subgrad 38.922623	 stepsize= 1.000000 
-dualbound = 3112189.175809, lowerbound=1226683.175809, norm of subgrad 1108.153498	dualbound = 3112189.175809, lowerbound=1226683.175809, norm of subgrad 38.228794	 stepsize= 1.000000 
-dualbound = 3112328.056224, lowerbound=1233530.056224, norm of subgrad 1111.238524	dualbound = 3112328.056224, lowerbound=1233530.056224, norm of subgrad 38.208381	 stepsize= 1.000000 
-dualbound = 3112454.088563, lowerbound=1230292.088563, norm of subgrad 1109.783352	dualbound = 3112454.088563, lowerbound=1230292.088563, norm of subgrad 38.118661	 stepsize= 1.000000 
-dualbound = 3112529.341848, lowerbound=1231560.341848, norm of subgrad 1110.373064	dualbound = 3112529.341848, lowerbound=1231560.341848, norm of subgrad 37.990174	 stepsize= 1.000000 
-dualbound = 3112650.551060, lowerbound=1232410.551060, norm of subgrad 1110.755397	dualbound = 3112650.551060, lowerbound=1232410.551060, norm of subgrad 38.577315	 stepsize= 1.000000 
-dualbound = 3112751.734495, lowerbound=1235905.734495, norm of subgrad 1112.285366	dualbound = 3112751.734495, lowerbound=1235905.734495, norm of subgrad 37.069980	 stepsize= 1.000000 
-dualbound = 3112888.832646, lowerbound=1230537.832646, norm of subgrad 1109.897668	dualbound = 3112888.832646, lowerbound=1230537.832646, norm of subgrad 38.367931	 stepsize= 1.000000 
-dualbound = 3112985.522558, lowerbound=1228959.522558, norm of subgrad 1109.206258	dualbound = 3112985.522558, lowerbound=1228959.522558, norm of subgrad 38.414710	 stepsize= 1.000000 
-dualbound = 3113113.090230, lowerbound=1233945.090230, norm of subgrad 1111.437848	dualbound = 3113113.090230, lowerbound=1233945.090230, norm of subgrad 38.426133	 stepsize= 1.000000 
-dualbound = 3113198.578702, lowerbound=1229373.578702, norm of subgrad 1109.396042	dualbound = 3113198.578702, lowerbound=1229373.578702, norm of subgrad 38.359985	 stepsize= 1.000000 
-dualbound = 3113335.111999, lowerbound=1230411.111999, norm of subgrad 1109.830218	dualbound = 3113335.111999, lowerbound=1230411.111999, norm of subgrad 38.059602	 stepsize= 1.000000 
-dualbound = 3113427.456877, lowerbound=1233942.456877, norm of subgrad 1111.463655	dualbound = 3113427.456877, lowerbound=1233942.456877, norm of subgrad 38.747192	 stepsize= 1.000000 
-dualbound = 3113524.904595, lowerbound=1229265.904595, norm of subgrad 1109.320920	dualbound = 3113524.904595, lowerbound=1229265.904595, norm of subgrad 37.741856	 stepsize= 1.000000 
-dualbound = 3113696.594451, lowerbound=1231494.594451, norm of subgrad 1110.306081	dualbound = 3113696.594451, lowerbound=1231494.594451, norm of subgrad 38.166607	 stepsize= 1.000000 
-dualbound = 3113785.159997, lowerbound=1229202.159997, norm of subgrad 1109.284526	dualbound = 3113785.159997, lowerbound=1229202.159997, norm of subgrad 37.397400	 stepsize= 1.000000 
-dualbound = 3113896.290648, lowerbound=1234247.290648, norm of subgrad 1111.545901	dualbound = 3113896.290648, lowerbound=1234247.290648, norm of subgrad 37.391585	 stepsize= 1.000000 
-dualbound = 3114005.905865, lowerbound=1229387.905865, norm of subgrad 1109.358781	dualbound = 3114005.905865, lowerbound=1229387.905865, norm of subgrad 37.398064	 stepsize= 1.000000 
-dualbound = 3114098.263378, lowerbound=1234336.263378, norm of subgrad 1111.642597	dualbound = 3114098.263378, lowerbound=1234336.263378, norm of subgrad 38.798937	 stepsize= 1.000000 
-dualbound = 3114203.146958, lowerbound=1231793.146958, norm of subgrad 1110.493650	dualbound = 3114203.146958, lowerbound=1231793.146958, norm of subgrad 38.831477	 stepsize= 1.000000 
-dualbound = 3114317.219211, lowerbound=1229448.219211, norm of subgrad 1109.424274	dualbound = 3114317.219211, lowerbound=1229448.219211, norm of subgrad 38.575540	 stepsize= 1.000000 
-dualbound = 3114437.229366, lowerbound=1230509.229366, norm of subgrad 1109.910010	dualbound = 3114437.229366, lowerbound=1230509.229366, norm of subgrad 38.871714	 stepsize= 1.000000 
-dualbound = 3114541.226101, lowerbound=1231310.226101, norm of subgrad 1110.274392	dualbound = 3114541.226101, lowerbound=1231310.226101, norm of subgrad 38.768502	 stepsize= 1.000000 
-dualbound = 3114670.049920, lowerbound=1233378.049920, norm of subgrad 1111.185426	dualbound = 3114670.049920, lowerbound=1233378.049920, norm of subgrad 38.520434	 stepsize= 1.000000 
-dualbound = 3114766.255317, lowerbound=1234223.255317, norm of subgrad 1111.597614	dualbound = 3114766.255317, lowerbound=1234223.255317, norm of subgrad 39.015451	 stepsize= 1.000000 
-dualbound = 3114888.386326, lowerbound=1233904.386326, norm of subgrad 1111.424935	dualbound = 3114888.386326, lowerbound=1233904.386326, norm of subgrad 38.511440	 stepsize= 1.000000 
-dualbound = 3115009.258642, lowerbound=1228490.258642, norm of subgrad 1108.959990	dualbound = 3115009.258642, lowerbound=1228490.258642, norm of subgrad 37.720980	 stepsize= 1.000000 
-dualbound = 3115127.114573, lowerbound=1229531.114573, norm of subgrad 1109.486419	dualbound = 3115127.114573, lowerbound=1229531.114573, norm of subgrad 39.330089	 stepsize= 1.000000 
-dualbound = 3115189.127917, lowerbound=1235580.127917, norm of subgrad 1112.190239	dualbound = 3115189.127917, lowerbound=1235580.127917, norm of subgrad 38.065908	 stepsize= 1.000000 
-dualbound = 3115352.864691, lowerbound=1229873.864691, norm of subgrad 1109.588602	dualbound = 3115352.864691, lowerbound=1229873.864691, norm of subgrad 38.428333	 stepsize= 1.000000 
-dualbound = 3115440.213131, lowerbound=1228033.213131, norm of subgrad 1108.761116	dualbound = 3115440.213131, lowerbound=1228033.213131, norm of subgrad 37.487977	 stepsize= 1.000000 
-dualbound = 3115562.310163, lowerbound=1232335.310163, norm of subgrad 1110.733231	dualbound = 3115562.310163, lowerbound=1232335.310163, norm of subgrad 38.924247	 stepsize= 1.000000 
-dualbound = 3115645.935781, lowerbound=1229221.935781, norm of subgrad 1109.302905	dualbound = 3115645.935781, lowerbound=1229221.935781, norm of subgrad 37.611509	 stepsize= 1.000000 
-dualbound = 3115783.438501, lowerbound=1233528.438501, norm of subgrad 1111.283689	dualbound = 3115783.438501, lowerbound=1233528.438501, norm of subgrad 39.503199	 stepsize= 1.000000 
-dualbound = 3115848.120569, lowerbound=1230054.120569, norm of subgrad 1109.706772	dualbound = 3115848.120569, lowerbound=1230054.120569, norm of subgrad 38.205786	 stepsize= 1.000000 
-dualbound = 3116011.981836, lowerbound=1231012.981836, norm of subgrad 1110.105843	dualbound = 3116011.981836, lowerbound=1231012.981836, norm of subgrad 38.546871	 stepsize= 1.000000 
-dualbound = 3116101.272599, lowerbound=1232379.272599, norm of subgrad 1110.757072	dualbound = 3116101.272599, lowerbound=1232379.272599, norm of subgrad 38.617234	 stepsize= 1.000000 
-dualbound = 3116211.957663, lowerbound=1230529.957663, norm of subgrad 1109.913942	dualbound = 3116211.957663, lowerbound=1230529.957663, norm of subgrad 38.596438	 stepsize= 1.000000 
-dualbound = 3116321.992229, lowerbound=1230163.992229, norm of subgrad 1109.755825	dualbound = 3116321.992229, lowerbound=1230163.992229, norm of subgrad 38.781885	 stepsize= 1.000000 
-dualbound = 3116431.688629, lowerbound=1234999.688629, norm of subgrad 1111.928815	dualbound = 3116431.688629, lowerbound=1234999.688629, norm of subgrad 38.674234	 stepsize= 1.000000 
-dualbound = 3116523.829232, lowerbound=1230475.829232, norm of subgrad 1109.892260	dualbound = 3116523.829232, lowerbound=1230475.829232, norm of subgrad 38.433587	 stepsize= 1.000000 
-dualbound = 3116666.141781, lowerbound=1235397.141781, norm of subgrad 1112.085492	dualbound = 3116666.141781, lowerbound=1235397.141781, norm of subgrad 38.461832	 stepsize= 1.000000 
-dualbound = 3116769.485323, lowerbound=1233493.485323, norm of subgrad 1111.213069	dualbound = 3116769.485323, lowerbound=1233493.485323, norm of subgrad 37.474572	 stepsize= 1.000000 
-dualbound = 3116915.626896, lowerbound=1232284.626896, norm of subgrad 1110.657745	dualbound = 3116915.626896, lowerbound=1232284.626896, norm of subgrad 37.711292	 stepsize= 1.000000 
-dualbound = 3117015.695277, lowerbound=1227511.695277, norm of subgrad 1108.511477	dualbound = 3117015.695277, lowerbound=1227511.695277, norm of subgrad 37.229939	 stepsize= 1.000000 
-dualbound = 3117115.148136, lowerbound=1229594.148136, norm of subgrad 1109.480125	dualbound = 3117115.148136, lowerbound=1229594.148136, norm of subgrad 38.097938	 stepsize= 1.000000 
-dualbound = 3117217.904062, lowerbound=1231805.904062, norm of subgrad 1110.466525	dualbound = 3117217.904062, lowerbound=1231805.904062, norm of subgrad 37.851763	 stepsize= 1.000000 
-dualbound = 3117326.580935, lowerbound=1236300.580935, norm of subgrad 1112.530261	dualbound = 3117326.580935, lowerbound=1236300.580935, norm of subgrad 39.136644	 stepsize= 1.000000 
-dualbound = 3117421.804325, lowerbound=1227910.804325, norm of subgrad 1108.731620	dualbound = 3117421.804325, lowerbound=1227910.804325, norm of subgrad 38.343492	 stepsize= 1.000000 
-dualbound = 3117573.944478, lowerbound=1230095.944478, norm of subgrad 1109.700836	dualbound = 3117573.944478, lowerbound=1230095.944478, norm of subgrad 38.628230	 stepsize= 1.000000 
-dualbound = 3117650.454321, lowerbound=1230694.454321, norm of subgrad 1110.003358	dualbound = 3117650.454321, lowerbound=1230694.454321, norm of subgrad 38.594169	 stepsize= 1.000000 
-dualbound = 3117767.694793, lowerbound=1234430.694793, norm of subgrad 1111.670677	dualbound = 3117767.694793, lowerbound=1234430.694793, norm of subgrad 38.707111	 stepsize= 1.000000 
-dualbound = 3117884.436096, lowerbound=1233011.436096, norm of subgrad 1111.022698	dualbound = 3117884.436096, lowerbound=1233011.436096, norm of subgrad 38.428392	 stepsize= 1.000000 
-dualbound = 3118001.262051, lowerbound=1231712.262051, norm of subgrad 1110.427513	dualbound = 3118001.262051, lowerbound=1231712.262051, norm of subgrad 38.129070	 stepsize= 1.000000 
-dualbound = 3118101.306255, lowerbound=1228802.306255, norm of subgrad 1109.092560	dualbound = 3118101.306255, lowerbound=1228802.306255, norm of subgrad 37.202745	 stepsize= 1.000000 
-dualbound = 3118270.154001, lowerbound=1239114.154001, norm of subgrad 1113.756775	dualbound = 3118270.154001, lowerbound=1239114.154001, norm of subgrad 38.843889	 stepsize= 1.000000 
-dualbound = 3118333.048471, lowerbound=1231230.048471, norm of subgrad 1110.215767	dualbound = 3118333.048471, lowerbound=1231230.048471, norm of subgrad 37.575184	 stepsize= 1.000000 
-dualbound = 3118490.109170, lowerbound=1232450.109170, norm of subgrad 1110.736742	dualbound = 3118490.109170, lowerbound=1232450.109170, norm of subgrad 37.987639	 stepsize= 1.000000 
-dualbound = 3118576.848147, lowerbound=1224975.848147, norm of subgrad 1107.397331	dualbound = 3118576.848147, lowerbound=1224975.848147, norm of subgrad 37.943892	 stepsize= 1.000000 
-dualbound = 3118668.726133, lowerbound=1232358.726133, norm of subgrad 1110.703257	dualbound = 3118668.726133, lowerbound=1232358.726133, norm of subgrad 37.348065	 stepsize= 1.000000 
-dualbound = 3118785.284239, lowerbound=1227118.284239, norm of subgrad 1108.365591	dualbound = 3118785.284239, lowerbound=1227118.284239, norm of subgrad 38.373925	 stepsize= 1.000000 
-dualbound = 3118898.951527, lowerbound=1233365.951527, norm of subgrad 1111.169182	dualbound = 3118898.951527, lowerbound=1233365.951527, norm of subgrad 38.008779	 stepsize= 1.000000 
-dualbound = 3119015.654700, lowerbound=1231061.654700, norm of subgrad 1110.142178	dualbound = 3119015.654700, lowerbound=1231061.654700, norm of subgrad 38.349748	 stepsize= 1.000000 
-dualbound = 3119104.343116, lowerbound=1234036.343116, norm of subgrad 1111.483398	dualbound = 3119104.343116, lowerbound=1234036.343116, norm of subgrad 38.048501	 stepsize= 1.000000 
-dualbound = 3119208.685124, lowerbound=1229316.685124, norm of subgrad 1109.344259	dualbound = 3119208.685124, lowerbound=1229316.685124, norm of subgrad 37.846295	 stepsize= 1.000000 
-dualbound = 3119371.702136, lowerbound=1234720.702136, norm of subgrad 1111.763330	dualbound = 3119371.702136, lowerbound=1234720.702136, norm of subgrad 38.210169	 stepsize= 1.000000 
-dualbound = 3119445.158541, lowerbound=1227461.158541, norm of subgrad 1108.521609	dualbound = 3119445.158541, lowerbound=1227461.158541, norm of subgrad 37.847806	 stepsize= 1.000000 
-dualbound = 3119577.383372, lowerbound=1237082.383372, norm of subgrad 1112.826754	dualbound = 3119577.383372, lowerbound=1237082.383372, norm of subgrad 37.857956	 stepsize= 1.000000 
-dualbound = 3119670.970548, lowerbound=1228550.970548, norm of subgrad 1108.998183	dualbound = 3119670.970548, lowerbound=1228550.970548, norm of subgrad 37.677409	 stepsize= 1.000000 
-dualbound = 3119804.950671, lowerbound=1233838.950671, norm of subgrad 1111.381550	dualbound = 3119804.950671, lowerbound=1233838.950671, norm of subgrad 38.261993	 stepsize= 1.000000 
-dualbound = 3119925.536018, lowerbound=1229942.536018, norm of subgrad 1109.602422	dualbound = 3119925.536018, lowerbound=1229942.536018, norm of subgrad 37.357534	 stepsize= 1.000000 
-dualbound = 3120055.383630, lowerbound=1237270.383630, norm of subgrad 1112.892800	dualbound = 3120055.383630, lowerbound=1237270.383630, norm of subgrad 37.280660	 stepsize= 1.000000 
-dualbound = 3120150.725979, lowerbound=1231164.725979, norm of subgrad 1110.170584	dualbound = 3120150.725979, lowerbound=1231164.725979, norm of subgrad 37.541209	 stepsize= 1.000000 
-dualbound = 3120251.318005, lowerbound=1230527.318005, norm of subgrad 1109.862747	dualbound = 3120251.318005, lowerbound=1230527.318005, norm of subgrad 36.994486	 stepsize= 1.000000 
-dualbound = 3120345.839300, lowerbound=1230575.839300, norm of subgrad 1109.936412	dualbound = 3120345.839300, lowerbound=1230575.839300, norm of subgrad 38.438539	 stepsize= 1.000000 
-dualbound = 3120446.810457, lowerbound=1235658.810457, norm of subgrad 1112.231455	dualbound = 3120446.810457, lowerbound=1235658.810457, norm of subgrad 38.742369	 stepsize= 1.000000 
-dualbound = 3120546.163578, lowerbound=1231460.163578, norm of subgrad 1110.314894	dualbound = 3120546.163578, lowerbound=1231460.163578, norm of subgrad 37.925626	 stepsize= 1.000000 
-dualbound = 3120689.738402, lowerbound=1228645.738402, norm of subgrad 1109.024679	dualbound = 3120689.738402, lowerbound=1228645.738402, norm of subgrad 37.862578	 stepsize= 1.000000 
-dualbound = 3120785.476665, lowerbound=1229637.476665, norm of subgrad 1109.503257	dualbound = 3120785.476665, lowerbound=1229637.476665, norm of subgrad 38.154138	 stepsize= 1.000000 
-dualbound = 3120904.401568, lowerbound=1236243.401568, norm of subgrad 1112.462764	dualbound = 3120904.401568, lowerbound=1236243.401568, norm of subgrad 38.064746	 stepsize= 1.000000 
-dualbound = 3120994.387994, lowerbound=1231878.387994, norm of subgrad 1110.518072	dualbound = 3120994.387994, lowerbound=1231878.387994, norm of subgrad 38.235931	 stepsize= 1.000000 
-dualbound = 3121110.087598, lowerbound=1231487.087598, norm of subgrad 1110.305403	dualbound = 3121110.087598, lowerbound=1231487.087598, norm of subgrad 37.505994	 stepsize= 1.000000 
-dualbound = 3121243.559957, lowerbound=1228985.559957, norm of subgrad 1109.176974	dualbound = 3121243.559957, lowerbound=1228985.559957, norm of subgrad 37.702418	 stepsize= 1.000000 
-dualbound = 3121348.416349, lowerbound=1234780.416349, norm of subgrad 1111.828411	dualbound = 3121348.416349, lowerbound=1234780.416349, norm of subgrad 38.559777	 stepsize= 1.000000 
-dualbound = 3121436.946803, lowerbound=1233004.946803, norm of subgrad 1111.035529	dualbound = 3121436.946803, lowerbound=1233004.946803, norm of subgrad 38.516626	 stepsize= 1.000000 
-dualbound = 3121554.571022, lowerbound=1234848.571022, norm of subgrad 1111.852315	dualbound = 3121554.571022, lowerbound=1234848.571022, norm of subgrad 38.530822	 stepsize= 1.000000 
-dualbound = 3121674.892001, lowerbound=1230807.892001, norm of subgrad 1110.042743	dualbound = 3121674.892001, lowerbound=1230807.892001, norm of subgrad 38.824232	 stepsize= 1.000000 
-dualbound = 3121785.208407, lowerbound=1233803.208407, norm of subgrad 1111.378967	dualbound = 3121785.208407, lowerbound=1233803.208407, norm of subgrad 38.344705	 stepsize= 1.000000 
-dualbound = 3121903.744262, lowerbound=1229853.744262, norm of subgrad 1109.609726	dualbound = 3121903.744262, lowerbound=1229853.744262, norm of subgrad 38.710927	 stepsize= 1.000000 
-dualbound = 3121994.972325, lowerbound=1234778.972325, norm of subgrad 1111.872282	dualbound = 3121994.972325, lowerbound=1234778.972325, norm of subgrad 39.651331	 stepsize= 1.000000 
-dualbound = 3122086.960810, lowerbound=1228975.960810, norm of subgrad 1109.211414	dualbound = 3122086.960810, lowerbound=1228975.960810, norm of subgrad 38.288229	 stepsize= 1.000000 
-dualbound = 3122211.603150, lowerbound=1233755.603150, norm of subgrad 1111.375995	dualbound = 3122211.603150, lowerbound=1233755.603150, norm of subgrad 39.059472	 stepsize= 1.000000 
-dualbound = 3122335.496565, lowerbound=1231823.496565, norm of subgrad 1110.500561	dualbound = 3122335.496565, lowerbound=1231823.496565, norm of subgrad 38.883074	 stepsize= 1.000000 
-dualbound = 3122456.913458, lowerbound=1228333.913458, norm of subgrad 1108.894906	dualbound = 3122456.913458, lowerbound=1228333.913458, norm of subgrad 37.886896	 stepsize= 1.000000 
-dualbound = 3122566.179872, lowerbound=1230672.179872, norm of subgrad 1109.931160	dualbound = 3122566.179872, lowerbound=1230672.179872, norm of subgrad 37.205731	 stepsize= 1.000000 
-dualbound = 3122698.702422, lowerbound=1238857.702422, norm of subgrad 1113.627273	dualbound = 3122698.702422, lowerbound=1238857.702422, norm of subgrad 37.954217	 stepsize= 1.000000 
-dualbound = 3122759.801554, lowerbound=1228662.801554, norm of subgrad 1109.058070	dualbound = 3122759.801554, lowerbound=1228662.801554, norm of subgrad 37.524647	 stepsize= 1.000000 
-dualbound = 3122912.159939, lowerbound=1233458.159939, norm of subgrad 1111.185925	dualbound = 3122912.159939, lowerbound=1233458.159939, norm of subgrad 37.793629	 stepsize= 1.000000 
-dualbound = 3123015.035394, lowerbound=1230946.035394, norm of subgrad 1110.075239	dualbound = 3123015.035394, lowerbound=1230946.035394, norm of subgrad 37.734274	 stepsize= 1.000000 
-dualbound = 3123115.545768, lowerbound=1233386.545768, norm of subgrad 1111.162700	dualbound = 3123115.545768, lowerbound=1233386.545768, norm of subgrad 37.369913	 stepsize= 1.000000 
-dualbound = 3123229.184225, lowerbound=1230486.184225, norm of subgrad 1109.859984	dualbound = 3123229.184225, lowerbound=1230486.184225, norm of subgrad 37.638258	 stepsize= 1.000000 
-dualbound = 3123347.154845, lowerbound=1239176.154845, norm of subgrad 1113.769794	dualbound = 3123347.154845, lowerbound=1239176.154845, norm of subgrad 37.748783	 stepsize= 1.000000 
-dualbound = 3123444.103919, lowerbound=1233879.103919, norm of subgrad 1111.407263	dualbound = 3123444.103919, lowerbound=1233879.103919, norm of subgrad 37.999330	 stepsize= 1.000000 
-dualbound = 3123558.701086, lowerbound=1233437.701086, norm of subgrad 1111.214966	dualbound = 3123558.701086, lowerbound=1233437.701086, norm of subgrad 38.413502	 stepsize= 1.000000 
-dualbound = 3123643.787280, lowerbound=1231510.787280, norm of subgrad 1110.346697	dualbound = 3123643.787280, lowerbound=1231510.787280, norm of subgrad 38.001134	 stepsize= 1.000000 
-dualbound = 3123784.113255, lowerbound=1232827.113255, norm of subgrad 1110.924441	dualbound = 3123784.113255, lowerbound=1232827.113255, norm of subgrad 38.292636	 stepsize= 1.000000 
-dualbound = 3123860.247128, lowerbound=1230069.247128, norm of subgrad 1109.739270	dualbound = 3123860.247128, lowerbound=1230069.247128, norm of subgrad 39.091353	 stepsize= 1.000000 
-dualbound = 3123988.033528, lowerbound=1238480.033528, norm of subgrad 1113.488677	dualbound = 3123988.033528, lowerbound=1238480.033528, norm of subgrad 38.791576	 stepsize= 1.000000 
-dualbound = 3124069.970133, lowerbound=1229776.970133, norm of subgrad 1109.592705	dualbound = 3124069.970133, lowerbound=1229776.970133, norm of subgrad 38.741923	 stepsize= 1.000000 
-dualbound = 3124213.281187, lowerbound=1232974.281187, norm of subgrad 1111.002377	dualbound = 3124213.281187, lowerbound=1232974.281187, norm of subgrad 38.669252	 stepsize= 1.000000 
-dualbound = 3124327.971463, lowerbound=1234391.971463, norm of subgrad 1111.622675	dualbound = 3124327.971463, lowerbound=1234391.971463, norm of subgrad 37.784789	 stepsize= 1.000000 
-dualbound = 3124458.529280, lowerbound=1234119.529280, norm of subgrad 1111.493378	dualbound = 3124458.529280, lowerbound=1234119.529280, norm of subgrad 37.796267	 stepsize= 1.000000 
-dualbound = 3124548.393774, lowerbound=1227604.393774, norm of subgrad 1108.606961	dualbound = 3124548.393774, lowerbound=1227604.393774, norm of subgrad 38.663478	 stepsize= 1.000000 
-dualbound = 3124666.424904, lowerbound=1233126.424904, norm of subgrad 1111.050145	dualbound = 3124666.424904, lowerbound=1233126.424904, norm of subgrad 37.736337	 stepsize= 1.000000 
-dualbound = 3124773.997042, lowerbound=1228578.997042, norm of subgrad 1109.032911	dualbound = 3124773.997042, lowerbound=1228578.997042, norm of subgrad 38.504183	 stepsize= 1.000000 
-dualbound = 3124871.939236, lowerbound=1235445.939236, norm of subgrad 1112.131260	dualbound = 3124871.939236, lowerbound=1235445.939236, norm of subgrad 38.573854	 stepsize= 1.000000 
-dualbound = 3124984.704333, lowerbound=1235212.704333, norm of subgrad 1112.005263	dualbound = 3124984.704333, lowerbound=1235212.704333, norm of subgrad 38.154490	 stepsize= 1.000000 
-dualbound = 3125119.466888, lowerbound=1230736.466888, norm of subgrad 1109.970931	dualbound = 3125119.466888, lowerbound=1230736.466888, norm of subgrad 37.865057	 stepsize= 1.000000 
-dualbound = 3125231.924062, lowerbound=1225959.924062, norm of subgrad 1107.831632	dualbound = 3125231.924062, lowerbound=1225959.924062, norm of subgrad 37.992857	 stepsize= 1.000000 
-dualbound = 3125332.821883, lowerbound=1238072.821883, norm of subgrad 1113.313443	dualbound = 3125332.821883, lowerbound=1238072.821883, norm of subgrad 38.663909	 stepsize= 1.000000 
-dualbound = 3125409.455023, lowerbound=1232278.455023, norm of subgrad 1110.711238	dualbound = 3125409.455023, lowerbound=1232278.455023, norm of subgrad 38.439994	 stepsize= 1.000000 
-dualbound = 3125542.245628, lowerbound=1233891.245628, norm of subgrad 1111.420373	dualbound = 3125542.245628, lowerbound=1233891.245628, norm of subgrad 38.688378	 stepsize= 1.000000 
-dualbound = 3125656.265940, lowerbound=1225450.265940, norm of subgrad 1107.622348	dualbound = 3125656.265940, lowerbound=1225450.265940, norm of subgrad 38.613732	 stepsize= 1.000000 
-dualbound = 3125743.422453, lowerbound=1238063.422453, norm of subgrad 1113.279580	dualbound = 3125743.422453, lowerbound=1238063.422453, norm of subgrad 37.618566	 stepsize= 1.000000 
-dualbound = 3125875.544043, lowerbound=1230723.544043, norm of subgrad 1109.989434	dualbound = 3125875.544043, lowerbound=1230723.544043, norm of subgrad 38.537275	 stepsize= 1.000000 
-dualbound = 3125980.774340, lowerbound=1235043.774340, norm of subgrad 1111.937846	dualbound = 3125980.774340, lowerbound=1235043.774340, norm of subgrad 38.304442	 stepsize= 1.000000 
-dualbound = 3126083.610441, lowerbound=1230212.610441, norm of subgrad 1109.737181	dualbound = 3126083.610441, lowerbound=1230212.610441, norm of subgrad 37.507814	 stepsize= 1.000000 
-dualbound = 3126215.057845, lowerbound=1234809.057845, norm of subgrad 1111.845789	dualbound = 3126215.057845, lowerbound=1234809.057845, norm of subgrad 39.031364	 stepsize= 1.000000 
-dualbound = 3126291.705550, lowerbound=1230312.705550, norm of subgrad 1109.817420	dualbound = 3126291.705550, lowerbound=1230312.705550, norm of subgrad 38.192247	 stepsize= 1.000000 
-dualbound = 3126426.083841, lowerbound=1234471.083841, norm of subgrad 1111.701886	dualbound = 3126426.083841, lowerbound=1234471.083841, norm of subgrad 39.298579	 stepsize= 1.000000 
-dualbound = 3126501.010822, lowerbound=1230680.010822, norm of subgrad 1110.026131	dualbound = 3126501.010822, lowerbound=1230680.010822, norm of subgrad 39.407195	 stepsize= 1.000000 
-dualbound = 3126625.611137, lowerbound=1234770.611137, norm of subgrad 1111.821304	dualbound = 3126625.611137, lowerbound=1234770.611137, norm of subgrad 38.737583	 stepsize= 1.000000 
-dualbound = 3126737.608074, lowerbound=1228955.608074, norm of subgrad 1109.204944	dualbound = 3126737.608074, lowerbound=1228955.608074, norm of subgrad 38.626376	 stepsize= 1.000000 
-dualbound = 3126859.567204, lowerbound=1232472.567204, norm of subgrad 1110.796366	dualbound = 3126859.567204, lowerbound=1232472.567204, norm of subgrad 38.960995	 stepsize= 1.000000 
-dualbound = 3126961.261252, lowerbound=1230800.261252, norm of subgrad 1110.016334	dualbound = 3126961.261252, lowerbound=1230800.261252, norm of subgrad 37.916936	 stepsize= 1.000000 
-dualbound = 3127115.027283, lowerbound=1232344.027283, norm of subgrad 1110.699792	dualbound = 3127115.027283, lowerbound=1232344.027283, norm of subgrad 38.259195	 stepsize= 1.000000 
-dualbound = 3127190.417603, lowerbound=1232547.417603, norm of subgrad 1110.812953	dualbound = 3127190.417603, lowerbound=1232547.417603, norm of subgrad 37.860142	 stepsize= 1.000000 
-dualbound = 3127299.437553, lowerbound=1232805.437553, norm of subgrad 1110.916935	dualbound = 3127299.437553, lowerbound=1232805.437553, norm of subgrad 37.947595	 stepsize= 1.000000 
-dualbound = 3127417.026891, lowerbound=1233776.026891, norm of subgrad 1111.370337	dualbound = 3127417.026891, lowerbound=1233776.026891, norm of subgrad 38.543344	 stepsize= 1.000000 
-dualbound = 3127532.874218, lowerbound=1234728.874218, norm of subgrad 1111.778698	dualbound = 3127532.874218, lowerbound=1234728.874218, norm of subgrad 37.932141	 stepsize= 1.000000 
-dualbound = 3127652.680576, lowerbound=1231051.680576, norm of subgrad 1110.126425	dualbound = 3127652.680576, lowerbound=1231051.680576, norm of subgrad 38.063189	 stepsize= 1.000000 
-dualbound = 3127779.362467, lowerbound=1234850.362467, norm of subgrad 1111.842328	dualbound = 3127779.362467, lowerbound=1234850.362467, norm of subgrad 38.336430	 stepsize= 1.000000 
-dualbound = 3127844.104858, lowerbound=1232665.104858, norm of subgrad 1110.909584	dualbound = 3127844.104858, lowerbound=1232665.104858, norm of subgrad 38.983873	 stepsize= 1.000000 
-dualbound = 3127952.477004, lowerbound=1236011.477004, norm of subgrad 1112.380995	dualbound = 3127952.477004, lowerbound=1236011.477004, norm of subgrad 38.579426	 stepsize= 1.000000 
-dualbound = 3128059.304690, lowerbound=1231323.304690, norm of subgrad 1110.269024	dualbound = 3128059.304690, lowerbound=1231323.304690, norm of subgrad 38.481524	 stepsize= 1.000000 
-dualbound = 3128182.378682, lowerbound=1235331.378682, norm of subgrad 1112.074808	dualbound = 3128182.378682, lowerbound=1235331.378682, norm of subgrad 38.756599	 stepsize= 1.000000 
-dualbound = 3128289.195284, lowerbound=1231979.195284, norm of subgrad 1110.547250	dualbound = 3128289.195284, lowerbound=1231979.195284, norm of subgrad 37.984426	 stepsize= 1.000000 
-dualbound = 3128429.108092, lowerbound=1234299.108092, norm of subgrad 1111.592150	dualbound = 3128429.108092, lowerbound=1234299.108092, norm of subgrad 38.443632	 stepsize= 1.000000 
-dualbound = 3128520.282035, lowerbound=1228594.282035, norm of subgrad 1109.005537	dualbound = 3128520.282035, lowerbound=1228594.282035, norm of subgrad 37.285036	 stepsize= 1.000000 
-dualbound = 3128648.866169, lowerbound=1234419.866169, norm of subgrad 1111.645117	dualbound = 3128648.866169, lowerbound=1234419.866169, norm of subgrad 38.256818	 stepsize= 1.000000 
-dualbound = 3128720.840198, lowerbound=1235155.840198, norm of subgrad 1112.001727	dualbound = 3128720.840198, lowerbound=1235155.840198, norm of subgrad 38.261914	 stepsize= 1.000000 
-dualbound = 3128847.442950, lowerbound=1235434.442950, norm of subgrad 1112.099116	dualbound = 3128847.442950, lowerbound=1235434.442950, norm of subgrad 38.165465	 stepsize= 1.000000 
-dualbound = 3128954.278343, lowerbound=1232759.278343, norm of subgrad 1110.894360	dualbound = 3128954.278343, lowerbound=1232759.278343, norm of subgrad 37.866019	 stepsize= 1.000000 
-dualbound = 3129080.079613, lowerbound=1235113.079613, norm of subgrad 1111.943380	dualbound = 3129080.079613, lowerbound=1235113.079613, norm of subgrad 37.825934	 stepsize= 1.000000 
-dualbound = 3129180.826751, lowerbound=1232348.826751, norm of subgrad 1110.722660	dualbound = 3129180.826751, lowerbound=1232348.826751, norm of subgrad 38.167357	 stepsize= 1.000000 
-dualbound = 3129295.138534, lowerbound=1235420.138534, norm of subgrad 1112.094033	dualbound = 3129295.138534, lowerbound=1235420.138534, norm of subgrad 38.043551	 stepsize= 1.000000 
-dualbound = 3129397.884119, lowerbound=1232130.884119, norm of subgrad 1110.621395	dualbound = 3129397.884119, lowerbound=1232130.884119, norm of subgrad 38.101779	 stepsize= 1.000000 
-dualbound = 3129496.803506, lowerbound=1235540.803506, norm of subgrad 1112.155027	dualbound = 3129496.803506, lowerbound=1235540.803506, norm of subgrad 38.038394	 stepsize= 1.000000 
-dualbound = 3129591.413470, lowerbound=1226503.413470, norm of subgrad 1108.107582	dualbound = 3129591.413470, lowerbound=1226503.413470, norm of subgrad 38.647250	 stepsize= 1.000000 
-dualbound = 3129714.876637, lowerbound=1232235.876637, norm of subgrad 1110.684418	dualbound = 3129714.876637, lowerbound=1232235.876637, norm of subgrad 38.826063	 stepsize= 1.000000 
-dualbound = 3129819.617564, lowerbound=1231959.617564, norm of subgrad 1110.537986	dualbound = 3129819.617564, lowerbound=1231959.617564, norm of subgrad 37.943918	 stepsize= 1.000000 
-dualbound = 3129967.984602, lowerbound=1234367.984602, norm of subgrad 1111.620882	dualbound = 3129967.984602, lowerbound=1234367.984602, norm of subgrad 38.488531	 stepsize= 1.000000 
-dualbound = 3130050.979306, lowerbound=1227335.979306, norm of subgrad 1108.449358	dualbound = 3130050.979306, lowerbound=1227335.979306, norm of subgrad 37.509928	 stepsize= 1.000000 
-dualbound = 3130179.142739, lowerbound=1235880.142739, norm of subgrad 1112.322410	dualbound = 3130179.142739, lowerbound=1235880.142739, norm of subgrad 38.847953	 stepsize= 1.000000 
-dualbound = 3130253.208064, lowerbound=1233105.208064, norm of subgrad 1111.112599	dualbound = 3130253.208064, lowerbound=1233105.208064, norm of subgrad 39.243666	 stepsize= 1.000000 
-dualbound = 3130373.688470, lowerbound=1239393.688470, norm of subgrad 1113.895277	dualbound = 3130373.688470, lowerbound=1239393.688470, norm of subgrad 38.593787	 stepsize= 1.000000 
-dualbound = 3130478.874350, lowerbound=1233017.874350, norm of subgrad 1111.041347	dualbound = 3130478.874350, lowerbound=1233017.874350, norm of subgrad 38.732233	 stepsize= 1.000000 
-dualbound = 3130615.984759, lowerbound=1235061.984759, norm of subgrad 1111.918156	dualbound = 3130615.984759, lowerbound=1235061.984759, norm of subgrad 37.909239	 stepsize= 1.000000 
-dualbound = 3130696.022122, lowerbound=1229850.022122, norm of subgrad 1109.602642	dualbound = 3130696.022122, lowerbound=1229850.022122, norm of subgrad 38.053086	 stepsize= 1.000000 
-dualbound = 3130838.286627, lowerbound=1238844.286627, norm of subgrad 1113.632474	dualbound = 3130838.286627, lowerbound=1238844.286627, norm of subgrad 38.409172	 stepsize= 1.000000 
-dualbound = 3130909.803696, lowerbound=1232755.803696, norm of subgrad 1110.922951	dualbound = 3130909.803696, lowerbound=1232755.803696, norm of subgrad 38.282072	 stepsize= 1.000000 
-dualbound = 3131029.178309, lowerbound=1232004.178309, norm of subgrad 1110.567503	dualbound = 3131029.178309, lowerbound=1232004.178309, norm of subgrad 38.410605	 stepsize= 1.000000 
-dualbound = 3131144.391740, lowerbound=1234911.391740, norm of subgrad 1111.875169	dualbound = 3131144.391740, lowerbound=1234911.391740, norm of subgrad 38.343362	 stepsize= 1.000000 
-dualbound = 3131276.551692, lowerbound=1232885.551692, norm of subgrad 1110.982696	dualbound = 3131276.551692, lowerbound=1232885.551692, norm of subgrad 39.104475	 stepsize= 1.000000 
-dualbound = 3131335.208951, lowerbound=1233730.208951, norm of subgrad 1111.349274	dualbound = 3131335.208951, lowerbound=1233730.208951, norm of subgrad 37.757877	 stepsize= 1.000000 
-dualbound = 3131503.303267, lowerbound=1231371.303267, norm of subgrad 1110.271275	dualbound = 3131503.303267, lowerbound=1231371.303267, norm of subgrad 38.718139	 stepsize= 1.000000 
-dualbound = 3131590.663880, lowerbound=1230166.663880, norm of subgrad 1109.734952	dualbound = 3131590.663880, lowerbound=1230166.663880, norm of subgrad 37.846540	 stepsize= 1.000000 
-dualbound = 3131710.845525, lowerbound=1232650.845525, norm of subgrad 1110.841503	dualbound = 3131710.845525, lowerbound=1232650.845525, norm of subgrad 37.923365	 stepsize= 1.000000 
-dualbound = 3131795.256984, lowerbound=1228540.256984, norm of subgrad 1109.026265	dualbound = 3131795.256984, lowerbound=1228540.256984, norm of subgrad 38.515081	 stepsize= 1.000000 
-dualbound = 3131905.578131, lowerbound=1238391.578131, norm of subgrad 1113.440424	dualbound = 3131905.578131, lowerbound=1238391.578131, norm of subgrad 38.318679	 stepsize= 1.000000 
-dualbound = 3132030.960338, lowerbound=1230755.960338, norm of subgrad 1109.999532	dualbound = 3132030.960338, lowerbound=1230755.960338, norm of subgrad 38.319476	 stepsize= 1.000000 
-dualbound = 3132157.842994, lowerbound=1236477.842994, norm of subgrad 1112.564984	dualbound = 3132157.842994, lowerbound=1236477.842994, norm of subgrad 38.077325	 stepsize= 1.000000 
-dualbound = 3132247.638961, lowerbound=1229462.638961, norm of subgrad 1109.454208	dualbound = 3132247.638961, lowerbound=1229462.638961, norm of subgrad 38.933224	 stepsize= 1.000000 
-dualbound = 3132351.616962, lowerbound=1234862.616962, norm of subgrad 1111.868525	dualbound = 3132351.616962, lowerbound=1234862.616962, norm of subgrad 38.639074	 stepsize= 1.000000 
-dualbound = 3132440.348095, lowerbound=1229918.348095, norm of subgrad 1109.650552	dualbound = 3132440.348095, lowerbound=1229918.348095, norm of subgrad 38.661753	 stepsize= 1.000000 
-dualbound = 3132571.907488, lowerbound=1233852.907488, norm of subgrad 1111.399077	dualbound = 3132571.907488, lowerbound=1233852.907488, norm of subgrad 38.555926	 stepsize= 1.000000 
-dualbound = 3132685.058943, lowerbound=1235482.058943, norm of subgrad 1112.147499	dualbound = 3132685.058943, lowerbound=1235482.058943, norm of subgrad 38.770497	 stepsize= 1.000000 
-dualbound = 3132804.350817, lowerbound=1235838.350817, norm of subgrad 1112.293734	dualbound = 3132804.350817, lowerbound=1235838.350817, norm of subgrad 38.448561	 stepsize= 1.000000 
-dualbound = 3132886.973546, lowerbound=1233306.973546, norm of subgrad 1111.152093	dualbound = 3132886.973546, lowerbound=1233306.973546, norm of subgrad 37.876414	 stepsize= 1.000000 
-dualbound = 3133033.757043, lowerbound=1230802.757043, norm of subgrad 1110.031872	dualbound = 3133033.757043, lowerbound=1230802.757043, norm of subgrad 38.920220	 stepsize= 1.000000 
-dualbound = 3133097.841694, lowerbound=1235079.841694, norm of subgrad 1111.988688	dualbound = 3133097.841694, lowerbound=1235079.841694, norm of subgrad 38.769636	 stepsize= 1.000000 
-dualbound = 3133251.192223, lowerbound=1235137.192223, norm of subgrad 1111.951524	dualbound = 3133251.192223, lowerbound=1235137.192223, norm of subgrad 38.109717	 stepsize= 1.000000 
-dualbound = 3133363.017173, lowerbound=1235142.017173, norm of subgrad 1111.982022	dualbound = 3133363.017173, lowerbound=1235142.017173, norm of subgrad 38.390428	 stepsize= 1.000000 
-dualbound = 3133451.249589, lowerbound=1233337.249589, norm of subgrad 1111.155817	dualbound = 3133451.249589, lowerbound=1233337.249589, norm of subgrad 37.659427	 stepsize= 1.000000 
-dualbound = 3133580.494850, lowerbound=1225964.494850, norm of subgrad 1107.844978	dualbound = 3133580.494850, lowerbound=1225964.494850, norm of subgrad 38.538880	 stepsize= 1.000000 
-dualbound = 3133708.159357, lowerbound=1237602.159357, norm of subgrad 1113.042748	dualbound = 3133708.159357, lowerbound=1237602.159357, norm of subgrad 37.278204	 stepsize= 1.000000 
-dualbound = 3133808.400542, lowerbound=1229435.400542, norm of subgrad 1109.400920	dualbound = 3133808.400542, lowerbound=1229435.400542, norm of subgrad 37.884577	 stepsize= 1.000000 
-dualbound = 3133925.901161, lowerbound=1235558.901161, norm of subgrad 1112.152373	dualbound = 3133925.901161, lowerbound=1235558.901161, norm of subgrad 37.967099	 stepsize= 1.000000 
-dualbound = 3133999.737440, lowerbound=1231289.737440, norm of subgrad 1110.262463	dualbound = 3133999.737440, lowerbound=1231289.737440, norm of subgrad 38.299299	 stepsize= 1.000000 
-dualbound = 3134136.327926, lowerbound=1235732.327926, norm of subgrad 1112.231688	dualbound = 3134136.327926, lowerbound=1235732.327926, norm of subgrad 38.256901	 stepsize= 1.000000 
-dualbound = 3134235.631393, lowerbound=1228211.631393, norm of subgrad 1108.883958	dualbound = 3134235.631393, lowerbound=1228211.631393, norm of subgrad 38.875487	 stepsize= 1.000000 
-dualbound = 3134336.234913, lowerbound=1239596.234913, norm of subgrad 1113.998310	dualbound = 3134336.234913, lowerbound=1239596.234913, norm of subgrad 38.685960	 stepsize= 1.000000 
-dualbound = 3134429.034837, lowerbound=1229945.034837, norm of subgrad 1109.637344	dualbound = 3134429.034837, lowerbound=1229945.034837, norm of subgrad 37.984206	 stepsize= 1.000000 
-dualbound = 3134574.656505, lowerbound=1231009.656505, norm of subgrad 1110.127315	dualbound = 3134574.656505, lowerbound=1231009.656505, norm of subgrad 38.969497	 stepsize= 1.000000 
-dualbound = 3134656.553520, lowerbound=1228245.553520, norm of subgrad 1108.873552	dualbound = 3134656.553520, lowerbound=1228245.553520, norm of subgrad 37.906424	 stepsize= 1.000000 
-dualbound = 3134786.111690, lowerbound=1239645.111690, norm of subgrad 1113.971773	dualbound = 3134786.111690, lowerbound=1239645.111690, norm of subgrad 37.650474	 stepsize= 1.000000 
-dualbound = 3134900.646316, lowerbound=1234024.646317, norm of subgrad 1111.492081	dualbound = 3134900.646316, lowerbound=1234024.646317, norm of subgrad 38.788331	 stepsize= 1.000000 
-dualbound = 3134993.911511, lowerbound=1233646.911511, norm of subgrad 1111.287502	dualbound = 3134993.911511, lowerbound=1233646.911511, norm of subgrad 37.500203	 stepsize= 1.000000 
-dualbound = 3135136.690721, lowerbound=1230764.690721, norm of subgrad 1109.981392	dualbound = 3135136.690721, lowerbound=1230764.690721, norm of subgrad 37.904871	 stepsize= 1.000000 
-dualbound = 3135241.910345, lowerbound=1236777.910345, norm of subgrad 1112.704323	dualbound = 3135241.910345, lowerbound=1236777.910345, norm of subgrad 37.923866	 stepsize= 1.000000 
-dualbound = 3135325.754121, lowerbound=1232841.754121, norm of subgrad 1110.960285	dualbound = 3135325.754121, lowerbound=1232841.754121, norm of subgrad 38.403695	 stepsize= 1.000000 
-dualbound = 3135447.346105, lowerbound=1237535.346105, norm of subgrad 1113.059453	dualbound = 3135447.346105, lowerbound=1237535.346105, norm of subgrad 38.569314	 stepsize= 1.000000 
-dualbound = 3135564.104530, lowerbound=1237485.104530, norm of subgrad 1113.030595	dualbound = 3135564.104530, lowerbound=1237485.104530, norm of subgrad 38.324384	 stepsize= 1.000000 
-dualbound = 3135673.488734, lowerbound=1233979.488734, norm of subgrad 1111.460970	dualbound = 3135673.488734, lowerbound=1233979.488734, norm of subgrad 38.410730	 stepsize= 1.000000 
-dualbound = 3135758.484675, lowerbound=1230621.484675, norm of subgrad 1109.974542	dualbound = 3135758.484675, lowerbound=1230621.484675, norm of subgrad 38.820046	 stepsize= 1.000000 
-dualbound = 3135884.784727, lowerbound=1235944.784727, norm of subgrad 1112.333037	dualbound = 3135884.784727, lowerbound=1235944.784727, norm of subgrad 38.292298	 stepsize= 1.000000 
-dualbound = 3135994.384219, lowerbound=1229919.384219, norm of subgrad 1109.617224	dualbound = 3135994.384219, lowerbound=1229919.384219, norm of subgrad 37.955230	 stepsize= 1.000000 
-dualbound = 3136105.755157, lowerbound=1241194.755157, norm of subgrad 1114.689982	dualbound = 3136105.755157, lowerbound=1241194.755157, norm of subgrad 38.083736	 stepsize= 1.000000 
-dualbound = 3136229.795920, lowerbound=1227884.795920, norm of subgrad 1108.717185	dualbound = 3136229.795920, lowerbound=1227884.795920, norm of subgrad 38.639886	 stepsize= 1.000000 
-dualbound = 3136296.264007, lowerbound=1237681.264007, norm of subgrad 1113.163629	dualbound = 3136296.264007, lowerbound=1237681.264007, norm of subgrad 38.967526	 stepsize= 1.000000 
-dualbound = 3136430.142433, lowerbound=1231935.142433, norm of subgrad 1110.568837	dualbound = 3136430.142433, lowerbound=1231935.142433, norm of subgrad 39.520608	 stepsize= 1.000000 
-dualbound = 3136516.366011, lowerbound=1238246.366011, norm of subgrad 1113.389135	dualbound = 3136516.366011, lowerbound=1238246.366011, norm of subgrad 38.408639	 stepsize= 1.000000 
-dualbound = 3136663.720397, lowerbound=1235008.720397, norm of subgrad 1111.905446	dualbound = 3136663.720397, lowerbound=1235008.720397, norm of subgrad 38.371270	 stepsize= 1.000000 
-dualbound = 3136762.059895, lowerbound=1233783.059895, norm of subgrad 1111.400045	dualbound = 3136762.059895, lowerbound=1233783.059895, norm of subgrad 39.055595	 stepsize= 1.000000 
-dualbound = 3136854.687043, lowerbound=1235640.687043, norm of subgrad 1112.209822	dualbound = 3136854.687043, lowerbound=1235640.687043, norm of subgrad 38.244309	 stepsize= 1.000000 
-dualbound = 3136973.017603, lowerbound=1233372.017603, norm of subgrad 1111.180461	dualbound = 3136973.017603, lowerbound=1233372.017603, norm of subgrad 38.318802	 stepsize= 1.000000 
-dualbound = 3137094.628328, lowerbound=1229536.628328, norm of subgrad 1109.452400	dualbound = 3137094.628328, lowerbound=1229536.628328, norm of subgrad 38.335502	 stepsize= 1.000000 
-dualbound = 3137212.820325, lowerbound=1234135.820325, norm of subgrad 1111.486761	dualbound = 3137212.820325, lowerbound=1234135.820325, norm of subgrad 37.218168	 stepsize= 1.000000 
-dualbound = 3137337.706574, lowerbound=1227867.706574, norm of subgrad 1108.681517	dualbound = 3137337.706574, lowerbound=1227867.706574, norm of subgrad 37.840273	 stepsize= 1.000000 
-dualbound = 3137429.492291, lowerbound=1233803.492291, norm of subgrad 1111.349402	dualbound = 3137429.492291, lowerbound=1233803.492291, norm of subgrad 37.226143	 stepsize= 1.000000 
-dualbound = 3137549.912922, lowerbound=1236130.912922, norm of subgrad 1112.417598	dualbound = 3137549.912922, lowerbound=1236130.912922, norm of subgrad 38.241609	 stepsize= 1.000000 
-dualbound = 3137637.734741, lowerbound=1235005.734741, norm of subgrad 1111.898257	dualbound = 3137637.734741, lowerbound=1235005.734741, norm of subgrad 37.414193	 stepsize= 1.000000 
-dualbound = 3137742.751505, lowerbound=1231566.751505, norm of subgrad 1110.366945	dualbound = 3137742.751505, lowerbound=1231566.751505, norm of subgrad 38.118457	 stepsize= 1.000000 
-dualbound = 3137869.409536, lowerbound=1235228.409536, norm of subgrad 1112.037504	dualbound = 3137869.409536, lowerbound=1235228.409536, norm of subgrad 39.059673	 stepsize= 1.000000 
-dualbound = 3137945.795379, lowerbound=1231834.795379, norm of subgrad 1110.499345	dualbound = 3137945.795379, lowerbound=1231834.795379, norm of subgrad 38.083932	 stepsize= 1.000000 
-dualbound = 3138081.804092, lowerbound=1237264.804092, norm of subgrad 1112.936568	dualbound = 3138081.804092, lowerbound=1237264.804092, norm of subgrad 38.717034	 stepsize= 1.000000 
-dualbound = 3138176.478138, lowerbound=1233948.478138, norm of subgrad 1111.472212	dualbound = 3138176.478138, lowerbound=1233948.478138, norm of subgrad 38.944500	 stepsize= 1.000000 
-dualbound = 3138264.170929, lowerbound=1232334.170929, norm of subgrad 1110.743522	dualbound = 3138264.170929, lowerbound=1232334.170929, norm of subgrad 38.790370	 stepsize= 1.000000 
-dualbound = 3138413.913203, lowerbound=1235111.913203, norm of subgrad 1111.989619	dualbound = 3138413.913203, lowerbound=1235111.913203, norm of subgrad 39.480910	 stepsize= 1.000000 
-dualbound = 3138505.164796, lowerbound=1230770.164796, norm of subgrad 1110.033857	dualbound = 3138505.164796, lowerbound=1230770.164796, norm of subgrad 38.681411	 stepsize= 1.000000 
-dualbound = 3138613.933828, lowerbound=1231796.933828, norm of subgrad 1110.482748	dualbound = 3138613.933828, lowerbound=1231796.933828, norm of subgrad 38.519723	 stepsize= 1.000000 
-dualbound = 3138721.218117, lowerbound=1233679.218117, norm of subgrad 1111.329932	dualbound = 3138721.218117, lowerbound=1233679.218117, norm of subgrad 38.500445	 stepsize= 1.000000 
-dualbound = 3138834.147723, lowerbound=1234911.147723, norm of subgrad 1111.880905	dualbound = 3138834.147723, lowerbound=1234911.147723, norm of subgrad 38.482848	 stepsize= 1.000000 
-dualbound = 3138954.476402, lowerbound=1237583.476402, norm of subgrad 1113.067148	dualbound = 3138954.476402, lowerbound=1237583.476402, norm of subgrad 38.148770	 stepsize= 1.000000 
-dualbound = 3139064.184684, lowerbound=1230632.184684, norm of subgrad 1109.969452	dualbound = 3139064.184684, lowerbound=1230632.184684, norm of subgrad 38.854965	 stepsize= 1.000000 
-dualbound = 3139162.974706, lowerbound=1235275.974706, norm of subgrad 1112.064285	dualbound = 3139162.974706, lowerbound=1235275.974706, norm of subgrad 38.856017	 stepsize= 1.000000 
-dualbound = 3139269.581125, lowerbound=1229388.581125, norm of subgrad 1109.376663	dualbound = 3139269.581125, lowerbound=1229388.581125, norm of subgrad 37.876199	 stepsize= 1.000000 
-dualbound = 3139386.749450, lowerbound=1240311.749450, norm of subgrad 1114.317616	dualbound = 3139386.749450, lowerbound=1240311.749450, norm of subgrad 38.848016	 stepsize= 1.000000 
-dualbound = 3139501.170813, lowerbound=1232162.170813, norm of subgrad 1110.643584	dualbound = 3139501.170813, lowerbound=1232162.170813, norm of subgrad 38.489237	 stepsize= 1.000000 
-dualbound = 3139614.994954, lowerbound=1239857.994954, norm of subgrad 1114.093351	dualbound = 3139614.994954, lowerbound=1239857.994954, norm of subgrad 38.207645	 stepsize= 1.000000 
-dualbound = 3139743.492917, lowerbound=1233445.492917, norm of subgrad 1111.173026	dualbound = 3139743.492917, lowerbound=1233445.492917, norm of subgrad 37.262554	 stepsize= 1.000000 
-dualbound = 3139868.291195, lowerbound=1230411.291195, norm of subgrad 1109.828046	dualbound = 3139868.291195, lowerbound=1230411.291195, norm of subgrad 37.839110	 stepsize= 1.000000 
-dualbound = 3139939.599574, lowerbound=1235870.599574, norm of subgrad 1112.310029	dualbound = 3139939.599574, lowerbound=1235870.599574, norm of subgrad 37.872264	 stepsize= 1.000000 
-dualbound = 3140053.552877, lowerbound=1231284.552877, norm of subgrad 1110.253373	dualbound = 3140053.552877, lowerbound=1231284.552877, norm of subgrad 38.625811	 stepsize= 1.000000 
-dualbound = 3140164.420770, lowerbound=1230258.420770, norm of subgrad 1109.800172	dualbound = 3140164.420770, lowerbound=1230258.420770, norm of subgrad 38.844149	 stepsize= 1.000000 
-dualbound = 3140265.606586, lowerbound=1234162.606586, norm of subgrad 1111.562237	dualbound = 3140265.606586, lowerbound=1234162.606586, norm of subgrad 38.848241	 stepsize= 1.000000 
-dualbound = 3140364.316381, lowerbound=1235435.316382, norm of subgrad 1112.099508	dualbound = 3140364.316381, lowerbound=1235435.316382, norm of subgrad 37.798278	 stepsize= 1.000000 
-dualbound = 3140496.958220, lowerbound=1236483.958220, norm of subgrad 1112.600538	dualbound = 3140496.958220, lowerbound=1236483.958220, norm of subgrad 39.097850	 stepsize= 1.000000 
-dualbound = 3140577.169092, lowerbound=1232092.169092, norm of subgrad 1110.667443	dualbound = 3140577.169092, lowerbound=1232092.169092, norm of subgrad 39.625886	 stepsize= 1.000000 
-dualbound = 3140670.981342, lowerbound=1237487.981342, norm of subgrad 1113.051203	dualbound = 3140670.981342, lowerbound=1237487.981342, norm of subgrad 38.585130	 stepsize= 1.000000 
-dualbound = 3140812.865701, lowerbound=1230407.865701, norm of subgrad 1109.855786	dualbound = 3140812.865701, lowerbound=1230407.865701, norm of subgrad 38.908667	 stepsize= 1.000000 
-dualbound = 3140919.716017, lowerbound=1234764.716017, norm of subgrad 1111.813706	dualbound = 3140919.716017, lowerbound=1234764.716017, norm of subgrad 38.364701	 stepsize= 1.000000 
-dualbound = 3141031.503685, lowerbound=1230997.503685, norm of subgrad 1110.112834	dualbound = 3141031.503685, lowerbound=1230997.503685, norm of subgrad 38.272545	 stepsize= 1.000000 
-dualbound = 3141127.129577, lowerbound=1232454.129577, norm of subgrad 1110.770512	dualbound = 3141127.129577, lowerbound=1232454.129577, norm of subgrad 38.113330	 stepsize= 1.000000 
-dualbound = 3141270.883506, lowerbound=1228964.883506, norm of subgrad 1109.167653	dualbound = 3141270.883506, lowerbound=1228964.883506, norm of subgrad 37.838524	 stepsize= 1.000000 
-dualbound = 3141361.564657, lowerbound=1239663.564657, norm of subgrad 1114.021797	dualbound = 3141361.564657, lowerbound=1239663.564657, norm of subgrad 38.362497	 stepsize= 1.000000 
-dualbound = 3141452.632776, lowerbound=1233923.632776, norm of subgrad 1111.433144	dualbound = 3141452.632776, lowerbound=1233923.632776, norm of subgrad 38.092888	 stepsize= 1.000000 
-dualbound = 3141603.960591, lowerbound=1238697.960591, norm of subgrad 1113.551508	dualbound = 3141603.960591, lowerbound=1238697.960591, norm of subgrad 38.083170	 stepsize= 1.000000 
-dualbound = 3141696.174782, lowerbound=1225565.174782, norm of subgrad 1107.665191	dualbound = 3141696.174782, lowerbound=1225565.174782, norm of subgrad 38.068546	 stepsize= 1.000000 
-dualbound = 3141801.872816, lowerbound=1236375.872816, norm of subgrad 1112.526796	dualbound = 3141801.872816, lowerbound=1236375.872816, norm of subgrad 38.022336	 stepsize= 1.000000 
-dualbound = 3141924.152828, lowerbound=1230929.152828, norm of subgrad 1110.044212	dualbound = 3141924.152828, lowerbound=1230929.152828, norm of subgrad 37.299866	 stepsize= 1.000000 
-dualbound = 3142046.716630, lowerbound=1239148.716630, norm of subgrad 1113.758823	dualbound = 3142046.716630, lowerbound=1239148.716630, norm of subgrad 37.849225	 stepsize= 1.000000 
-dualbound = 3142124.766774, lowerbound=1233536.766774, norm of subgrad 1111.271689	dualbound = 3142124.766774, lowerbound=1233536.766774, norm of subgrad 38.289034	 stepsize= 1.000000 
-dualbound = 3142247.811020, lowerbound=1239224.811020, norm of subgrad 1113.805105	dualbound = 3142247.811020, lowerbound=1239224.811020, norm of subgrad 38.210525	 stepsize= 1.000000 
-dualbound = 3142349.444793, lowerbound=1226924.444793, norm of subgrad 1108.297995	dualbound = 3142349.444793, lowerbound=1226924.444793, norm of subgrad 38.750920	 stepsize= 1.000000 
-dualbound = 3142457.038045, lowerbound=1239232.038045, norm of subgrad 1113.812838	dualbound = 3142457.038045, lowerbound=1239232.038045, norm of subgrad 38.139130	 stepsize= 1.000000 
-dualbound = 3142562.487391, lowerbound=1232414.487391, norm of subgrad 1110.753117	dualbound = 3142562.487391, lowerbound=1232414.487391, norm of subgrad 38.255056	 stepsize= 1.000000 
-dualbound = 3142664.846100, lowerbound=1232799.846100, norm of subgrad 1110.973378	dualbound = 3142664.846100, lowerbound=1232799.846100, norm of subgrad 39.551975	 stepsize= 1.000000 
-dualbound = 3142774.827486, lowerbound=1233207.827486, norm of subgrad 1111.131328	dualbound = 3142774.827486, lowerbound=1233207.827486, norm of subgrad 38.922762	 stepsize= 1.000000 
-dualbound = 3142896.761525, lowerbound=1235537.761525, norm of subgrad 1112.167596	dualbound = 3142896.761525, lowerbound=1235537.761525, norm of subgrad 38.741890	 stepsize= 1.000000 
-dualbound = 3142995.094732, lowerbound=1234076.094732, norm of subgrad 1111.506678	dualbound = 3142995.094732, lowerbound=1234076.094732, norm of subgrad 38.331882	 stepsize= 1.000000 
-dualbound = 3143118.190348, lowerbound=1232792.190348, norm of subgrad 1110.927626	dualbound = 3143118.190348, lowerbound=1232792.190348, norm of subgrad 38.614707	 stepsize= 1.000000 
-dualbound = 3143225.678245, lowerbound=1230835.678245, norm of subgrad 1110.048052	dualbound = 3143225.678245, lowerbound=1230835.678245, norm of subgrad 38.451110	 stepsize= 1.000000 
-dualbound = 3143337.985585, lowerbound=1230442.985585, norm of subgrad 1109.870256	dualbound = 3143337.985585, lowerbound=1230442.985585, norm of subgrad 38.487756	 stepsize= 1.000000 
-dualbound = 3143462.942709, lowerbound=1228560.942709, norm of subgrad 1109.008991	dualbound = 3143462.942709, lowerbound=1228560.942709, norm of subgrad 38.274758	 stepsize= 1.000000 
-dualbound = 3143563.297578, lowerbound=1234493.297578, norm of subgrad 1111.683542	dualbound = 3143563.297578, lowerbound=1234493.297578, norm of subgrad 38.044117	 stepsize= 1.000000 
-dualbound = 3143680.084680, lowerbound=1238650.084680, norm of subgrad 1113.531358	dualbound = 3143680.084680, lowerbound=1238650.084680, norm of subgrad 37.666790	 stepsize= 1.000000 
-dualbound = 3143819.639591, lowerbound=1236478.639591, norm of subgrad 1112.551859	dualbound = 3143819.639591, lowerbound=1236478.639591, norm of subgrad 37.849107	 stepsize= 1.000000 
-dualbound = 3143901.301946, lowerbound=1232045.301946, norm of subgrad 1110.591870	dualbound = 3143901.301946, lowerbound=1232045.301946, norm of subgrad 38.087562	 stepsize= 1.000000 
-dualbound = 3144011.978886, lowerbound=1233215.978886, norm of subgrad 1111.118346	dualbound = 3144011.978886, lowerbound=1233215.978886, norm of subgrad 38.453569	 stepsize= 1.000000 
-dualbound = 3144123.118898, lowerbound=1232891.118898, norm of subgrad 1110.947847	dualbound = 3144123.118898, lowerbound=1232891.118898, norm of subgrad 37.751027	 stepsize= 1.000000 
-dualbound = 3144239.907039, lowerbound=1235004.907039, norm of subgrad 1111.906429	dualbound = 3144239.907039, lowerbound=1235004.907039, norm of subgrad 38.049811	 stepsize= 1.000000 
-dualbound = 3144325.834203, lowerbound=1230938.834203, norm of subgrad 1110.095417	dualbound = 3144325.834203, lowerbound=1230938.834203, norm of subgrad 38.195905	 stepsize= 1.000000 
-dualbound = 3144445.794837, lowerbound=1237085.794837, norm of subgrad 1112.845360	dualbound = 3144445.794837, lowerbound=1237085.794837, norm of subgrad 38.196343	 stepsize= 1.000000 
-dualbound = 3144553.766137, lowerbound=1232309.766137, norm of subgrad 1110.713629	dualbound = 3144553.766137, lowerbound=1232309.766137, norm of subgrad 38.509366	 stepsize= 1.000000 
-dualbound = 3144653.012181, lowerbound=1231063.012181, norm of subgrad 1110.157652	dualbound = 3144653.012181, lowerbound=1231063.012181, norm of subgrad 38.551862	 stepsize= 1.000000 
-dualbound = 3144773.157181, lowerbound=1236006.157181, norm of subgrad 1112.362422	dualbound = 3144773.157181, lowerbound=1236006.157181, norm of subgrad 38.264148	 stepsize= 1.000000 
-dualbound = 3144898.864925, lowerbound=1234494.864925, norm of subgrad 1111.698639	dualbound = 3144898.864925, lowerbound=1234494.864925, norm of subgrad 38.790563	 stepsize= 1.000000 
-dualbound = 3145003.114665, lowerbound=1234671.114665, norm of subgrad 1111.777907	dualbound = 3145003.114665, lowerbound=1234671.114665, norm of subgrad 38.512981	 stepsize= 1.000000 
-dualbound = 3145103.208833, lowerbound=1231791.208833, norm of subgrad 1110.487825	dualbound = 3145103.208833, lowerbound=1231791.208833, norm of subgrad 38.627635	 stepsize= 1.000000 
-dualbound = 3145195.317269, lowerbound=1235347.317269, norm of subgrad 1112.099059	dualbound = 3145195.317269, lowerbound=1235347.317269, norm of subgrad 38.847245	 stepsize= 1.000000 
-dualbound = 3145312.572293, lowerbound=1239814.572293, norm of subgrad 1114.105279	dualbound = 3145312.572293, lowerbound=1239814.572293, norm of subgrad 39.156800	 stepsize= 1.000000 
-dualbound = 3145405.641470, lowerbound=1233334.641470, norm of subgrad 1111.152393	dualbound = 3145405.641470, lowerbound=1233334.641470, norm of subgrad 37.657259	 stepsize= 1.000000 
-dualbound = 3145550.220436, lowerbound=1237439.220436, norm of subgrad 1113.000548	dualbound = 3145550.220436, lowerbound=1237439.220436, norm of subgrad 38.413265	 stepsize= 1.000000 
-dualbound = 3145649.524772, lowerbound=1226050.524772, norm of subgrad 1107.906821	dualbound = 3145649.524772, lowerbound=1226050.524772, norm of subgrad 38.811137	 stepsize= 1.000000 
-dualbound = 3145751.318505, lowerbound=1236518.318505, norm of subgrad 1112.573736	dualbound = 3145751.318505, lowerbound=1236518.318505, norm of subgrad 37.467235	 stepsize= 1.000000 
-dualbound = 3145893.775460, lowerbound=1239079.775460, norm of subgrad 1113.712609	dualbound = 3145893.775460, lowerbound=1239079.775460, norm of subgrad 37.662408	 stepsize= 1.000000 
-dualbound = 3145989.772741, lowerbound=1234879.772741, norm of subgrad 1111.842063	dualbound = 3145989.772741, lowerbound=1234879.772741, norm of subgrad 37.536613	 stepsize= 1.000000 
-dualbound = 3146108.008788, lowerbound=1232637.008788, norm of subgrad 1110.843827	dualbound = 3146108.008788, lowerbound=1232637.008788, norm of subgrad 38.147556	 stepsize= 1.000000 
-dualbound = 3146201.972543, lowerbound=1233733.972543, norm of subgrad 1111.340619	dualbound = 3146201.972543, lowerbound=1233733.972543, norm of subgrad 37.920493	 stepsize= 1.000000 
-dualbound = 3146306.429140, lowerbound=1233552.429140, norm of subgrad 1111.305282	dualbound = 3146306.429140, lowerbound=1233552.429140, norm of subgrad 39.388534	 stepsize= 1.000000 
-dualbound = 3146399.266811, lowerbound=1239459.266811, norm of subgrad 1113.952542	dualbound = 3146399.266811, lowerbound=1239459.266811, norm of subgrad 39.036363	 stepsize= 1.000000 
-dualbound = 3146516.806716, lowerbound=1233774.806716, norm of subgrad 1111.373838	dualbound = 3146516.806716, lowerbound=1233774.806716, norm of subgrad 38.659280	 stepsize= 1.000000 
-dualbound = 3146643.332220, lowerbound=1233126.332220, norm of subgrad 1111.092855	dualbound = 3146643.332220, lowerbound=1233126.332220, norm of subgrad 39.083571	 stepsize= 1.000000 
-dualbound = 3146733.547901, lowerbound=1235175.547901, norm of subgrad 1112.012387	dualbound = 3146733.547901, lowerbound=1235175.547901, norm of subgrad 38.551468	 stepsize= 1.000000 
-dualbound = 3146857.759993, lowerbound=1231201.759993, norm of subgrad 1110.209782	dualbound = 3146857.759993, lowerbound=1231201.759993, norm of subgrad 38.577352	 stepsize= 1.000000 
-dualbound = 3146954.893078, lowerbound=1235499.893078, norm of subgrad 1112.127193	dualbound = 3146954.893078, lowerbound=1235499.893078, norm of subgrad 37.737688	 stepsize= 1.000000 
-dualbound = 3147089.557570, lowerbound=1236623.557570, norm of subgrad 1112.673158	dualbound = 3147089.557570, lowerbound=1236623.557570, norm of subgrad 39.403864	 stepsize= 1.000000 
-dualbound = 3147155.042496, lowerbound=1232301.042496, norm of subgrad 1110.687644	dualbound = 3147155.042496, lowerbound=1232301.042496, norm of subgrad 37.302613	 stepsize= 1.000000 
-dualbound = 3147306.302635, lowerbound=1233216.302635, norm of subgrad 1111.125692	dualbound = 3147306.302635, lowerbound=1233216.302635, norm of subgrad 39.182396	 stepsize= 1.000000 
-dualbound = 3147394.780122, lowerbound=1234494.780122, norm of subgrad 1111.648677	dualbound = 3147394.780122, lowerbound=1234494.780122, norm of subgrad 36.830388	 stepsize= 1.000000 
-dualbound = 3147537.318396, lowerbound=1238266.318396, norm of subgrad 1113.368456	dualbound = 3147537.318396, lowerbound=1238266.318396, norm of subgrad 38.282349	 stepsize= 1.000000 
-dualbound = 3147615.488528, lowerbound=1237753.488528, norm of subgrad 1113.141271	dualbound = 3147615.488528, lowerbound=1237753.488528, norm of subgrad 37.525593	 stepsize= 1.000000 
-dualbound = 3147741.436976, lowerbound=1235213.436976, norm of subgrad 1112.055051	dualbound = 3147741.436976, lowerbound=1235213.436976, norm of subgrad 39.735984	 stepsize= 1.000000 
-dualbound = 3147798.870488, lowerbound=1231829.870488, norm of subgrad 1110.502531	dualbound = 3147798.870488, lowerbound=1231829.870488, norm of subgrad 37.992545	 stepsize= 1.000000 
-dualbound = 3147957.234607, lowerbound=1235660.234607, norm of subgrad 1112.175901	dualbound = 3147957.234607, lowerbound=1235660.234607, norm of subgrad 37.859796	 stepsize= 1.000000 
-dualbound = 3148093.036438, lowerbound=1240171.036438, norm of subgrad 1114.240565	dualbound = 3148093.036438, lowerbound=1240171.036438, norm of subgrad 38.688523	 stepsize= 1.000000 
-dualbound = 3148153.071173, lowerbound=1227243.071173, norm of subgrad 1108.431807	dualbound = 3148153.071173, lowerbound=1227243.071173, norm of subgrad 37.921428	 stepsize= 1.000000 
-dualbound = 3148279.337698, lowerbound=1239170.337698, norm of subgrad 1113.796812	dualbound = 3148279.337698, lowerbound=1239170.337698, norm of subgrad 38.720363	 stepsize= 1.000000 
-dualbound = 3148384.205144, lowerbound=1232716.205144, norm of subgrad 1110.897927	dualbound = 3148384.205144, lowerbound=1232716.205144, norm of subgrad 38.508018	 stepsize= 1.000000 
-dualbound = 3148493.427235, lowerbound=1233914.427235, norm of subgrad 1111.409208	dualbound = 3148493.427235, lowerbound=1233914.427235, norm of subgrad 37.752114	 stepsize= 1.000000 
-dualbound = 3148634.153193, lowerbound=1239328.153193, norm of subgrad 1113.825908	dualbound = 3148634.153193, lowerbound=1239328.153193, norm of subgrad 37.692519	 stepsize= 1.000000 
-dualbound = 3148714.278390, lowerbound=1229283.278390, norm of subgrad 1109.342273	dualbound = 3148714.278390, lowerbound=1229283.278390, norm of subgrad 37.909434	 stepsize= 1.000000 
-dualbound = 3148830.622800, lowerbound=1236678.622800, norm of subgrad 1112.682175	dualbound = 3148830.622800, lowerbound=1236678.622800, norm of subgrad 38.721369	 stepsize= 1.000000 
-dualbound = 3148939.403471, lowerbound=1234353.403471, norm of subgrad 1111.606227	dualbound = 3148939.403471, lowerbound=1234353.403471, norm of subgrad 37.733018	 stepsize= 1.000000 
-dualbound = 3149041.170323, lowerbound=1234631.170323, norm of subgrad 1111.775234	dualbound = 3149041.170323, lowerbound=1234631.170323, norm of subgrad 38.920006	 stepsize= 1.000000 
-dualbound = 3149143.174108, lowerbound=1233980.174108, norm of subgrad 1111.457230	dualbound = 3149143.174108, lowerbound=1233980.174108, norm of subgrad 38.196908	 stepsize= 1.000000 
-dualbound = 3149259.017688, lowerbound=1233706.017688, norm of subgrad 1111.344689	dualbound = 3149259.017688, lowerbound=1233706.017688, norm of subgrad 38.689063	 stepsize= 1.000000 
-dualbound = 3149366.114993, lowerbound=1231115.114993, norm of subgrad 1110.186523	dualbound = 3149366.114993, lowerbound=1231115.114993, norm of subgrad 38.808470	 stepsize= 1.000000 
-dualbound = 3149478.121383, lowerbound=1240214.121383, norm of subgrad 1114.275604	dualbound = 3149478.121383, lowerbound=1240214.121383, norm of subgrad 38.833058	 stepsize= 1.000000 
-dualbound = 3149604.407406, lowerbound=1230582.407406, norm of subgrad 1109.907837	dualbound = 3149604.407406, lowerbound=1230582.407406, norm of subgrad 37.937923	 stepsize= 1.000000 
-dualbound = 3149735.804664, lowerbound=1238061.804664, norm of subgrad 1113.270320	dualbound = 3149735.804664, lowerbound=1238061.804664, norm of subgrad 37.952566	 stepsize= 1.000000 
-dualbound = 3149840.000983, lowerbound=1228826.000983, norm of subgrad 1109.137503	dualbound = 3149840.000983, lowerbound=1228826.000983, norm of subgrad 38.264818	 stepsize= 1.000000 
-dualbound = 3149929.531949, lowerbound=1236946.531949, norm of subgrad 1112.795818	dualbound = 3149929.531949, lowerbound=1236946.531949, norm of subgrad 38.177624	 stepsize= 1.000000 
-dualbound = 3150040.122776, lowerbound=1231178.122776, norm of subgrad 1110.230662	dualbound = 3150040.122776, lowerbound=1231178.122776, norm of subgrad 39.301283	 stepsize= 1.000000 
-dualbound = 3150146.045389, lowerbound=1237774.045389, norm of subgrad 1113.195421	dualbound = 3150146.045389, lowerbound=1237774.045389, norm of subgrad 39.190849	 stepsize= 1.000000 
-dualbound = 3150241.607398, lowerbound=1232603.607398, norm of subgrad 1110.843197	dualbound = 3150241.607398, lowerbound=1232603.607398, norm of subgrad 38.269596	 stepsize= 1.000000 
-dualbound = 3150373.219102, lowerbound=1238054.219102, norm of subgrad 1113.286225	dualbound = 3150373.219102, lowerbound=1238054.219102, norm of subgrad 38.517680	 stepsize= 1.000000 
-dualbound = 3150454.114688, lowerbound=1229455.114688, norm of subgrad 1109.395382	dualbound = 3150454.114688, lowerbound=1229455.114688, norm of subgrad 37.200747	 stepsize= 1.000000 
-dualbound = 3150619.262027, lowerbound=1235124.262027, norm of subgrad 1111.949307	dualbound = 3150619.262027, lowerbound=1235124.262027, norm of subgrad 38.368572	 stepsize= 1.000000 
-dualbound = 3150682.285143, lowerbound=1235990.285143, norm of subgrad 1112.358883	dualbound = 3150682.285143, lowerbound=1235990.285143, norm of subgrad 37.616793	 stepsize= 1.000000 
-dualbound = 3150831.634121, lowerbound=1234221.634121, norm of subgrad 1111.522215	dualbound = 3150831.634121, lowerbound=1234221.634121, norm of subgrad 37.541297	 stepsize= 1.000000 
-dualbound = 3150942.451099, lowerbound=1230095.451099, norm of subgrad 1109.692052	dualbound = 3150942.451099, lowerbound=1230095.451099, norm of subgrad 37.839358	 stepsize= 1.000000 
-dualbound = 3151024.039806, lowerbound=1234015.039806, norm of subgrad 1111.479212	dualbound = 3151024.039806, lowerbound=1234015.039806, norm of subgrad 38.112842	 stepsize= 1.000000 
-dualbound = 3151122.309230, lowerbound=1237291.309230, norm of subgrad 1112.971387	dualbound = 3151122.309230, lowerbound=1237291.309230, norm of subgrad 38.887908	 stepsize= 1.000000 
-dualbound = 3151232.174276, lowerbound=1236902.174276, norm of subgrad 1112.800600	dualbound = 3151232.174276, lowerbound=1236902.174276, norm of subgrad 39.151820	 stepsize= 1.000000 
-dualbound = 3151333.016152, lowerbound=1231762.016152, norm of subgrad 1110.498994	dualbound = 3151333.016152, lowerbound=1231762.016152, norm of subgrad 39.329911	 stepsize= 1.000000 
-dualbound = 3151454.847105, lowerbound=1235303.847105, norm of subgrad 1112.070523	dualbound = 3151454.847105, lowerbound=1235303.847105, norm of subgrad 38.972182	 stepsize= 1.000000 
-dualbound = 3151563.254184, lowerbound=1233670.254184, norm of subgrad 1111.316901	dualbound = 3151563.254184, lowerbound=1233670.254184, norm of subgrad 38.254504	 stepsize= 1.000000 
-dualbound = 3151689.313023, lowerbound=1235823.313023, norm of subgrad 1112.294616	dualbound = 3151689.313023, lowerbound=1235823.313023, norm of subgrad 38.756404	 stepsize= 1.000000 
-dualbound = 3151791.941593, lowerbound=1233492.941593, norm of subgrad 1111.225873	dualbound = 3151791.941593, lowerbound=1233492.941593, norm of subgrad 37.850080	 stepsize= 1.000000 
-dualbound = 3151911.940248, lowerbound=1234396.940248, norm of subgrad 1111.653696	dualbound = 3151911.940248, lowerbound=1234396.940248, norm of subgrad 38.691067	 stepsize= 1.000000 
-dualbound = 3152004.554402, lowerbound=1237385.554402, norm of subgrad 1112.981381	dualbound = 3152004.554402, lowerbound=1237385.554402, norm of subgrad 37.876301	 stepsize= 1.000000 
-dualbound = 3152136.553361, lowerbound=1232536.553361, norm of subgrad 1110.804912	dualbound = 3152136.553361, lowerbound=1232536.553361, norm of subgrad 38.509726	 stepsize= 1.000000 
-dualbound = 3152208.703984, lowerbound=1232881.703984, norm of subgrad 1110.960262	dualbound = 3152208.703984, lowerbound=1232881.703984, norm of subgrad 37.724669	 stepsize= 1.000000 
-dualbound = 3152346.541835, lowerbound=1231852.541835, norm of subgrad 1110.505084	dualbound = 3152346.541835, lowerbound=1231852.541835, norm of subgrad 38.818009	 stepsize= 1.000000 
-dualbound = 3152452.350034, lowerbound=1239410.350034, norm of subgrad 1113.903654	dualbound = 3152452.350034, lowerbound=1239410.350034, norm of subgrad 38.429262	 stepsize= 1.000000 
-dualbound = 3152570.346543, lowerbound=1232577.346543, norm of subgrad 1110.840829	dualbound = 3152570.346543, lowerbound=1232577.346543, norm of subgrad 38.832931	 stepsize= 1.000000 
-dualbound = 3152660.449189, lowerbound=1236353.449189, norm of subgrad 1112.556268	dualbound = 3152660.449189, lowerbound=1236353.449189, norm of subgrad 38.962837	 stepsize= 1.000000 
-dualbound = 3152760.758063, lowerbound=1236933.758063, norm of subgrad 1112.806703	dualbound = 3152760.758063, lowerbound=1236933.758063, norm of subgrad 38.798310	 stepsize= 1.000000 
-dualbound = 3152880.332116, lowerbound=1238270.332116, norm of subgrad 1113.421453	dualbound = 3152880.332116, lowerbound=1238270.332116, norm of subgrad 39.453442	 stepsize= 1.000000 
-dualbound = 3152975.500956, lowerbound=1236967.500956, norm of subgrad 1112.841633	dualbound = 3152975.500956, lowerbound=1236967.500956, norm of subgrad 39.295914	 stepsize= 1.000000 
-dualbound = 3153074.367158, lowerbound=1232691.367158, norm of subgrad 1110.898000	dualbound = 3153074.367158, lowerbound=1232691.367158, norm of subgrad 38.753919	 stepsize= 1.000000 
-dualbound = 3153214.252163, lowerbound=1236493.252163, norm of subgrad 1112.597974	dualbound = 3153214.252163, lowerbound=1236493.252163, norm of subgrad 38.998526	 stepsize= 1.000000 
-dualbound = 3153327.658665, lowerbound=1234026.658665, norm of subgrad 1111.470944	dualbound = 3153327.658665, lowerbound=1234026.658665, norm of subgrad 38.136682	 stepsize= 1.000000 
-dualbound = 3153449.271847, lowerbound=1234778.271847, norm of subgrad 1111.786073	dualbound = 3153449.271847, lowerbound=1234778.271847, norm of subgrad 37.571441	 stepsize= 1.000000 
-dualbound = 3153563.103897, lowerbound=1232202.103897, norm of subgrad 1110.626447	dualbound = 3153563.103897, lowerbound=1232202.103897, norm of subgrad 37.454400	 stepsize= 1.000000 
-dualbound = 3153659.957756, lowerbound=1234665.957756, norm of subgrad 1111.759397	dualbound = 3153659.957756, lowerbound=1234665.957756, norm of subgrad 37.945406	 stepsize= 1.000000 
-dualbound = 3153781.061881, lowerbound=1234213.061881, norm of subgrad 1111.551646	dualbound = 3153781.061881, lowerbound=1234213.061881, norm of subgrad 38.145827	 stepsize= 1.000000 
-dualbound = 3153884.399019, lowerbound=1233510.399019, norm of subgrad 1111.217080	dualbound = 3153884.399019, lowerbound=1233510.399019, norm of subgrad 37.367595	 stepsize= 1.000000 
-dualbound = 3154009.308711, lowerbound=1233295.308711, norm of subgrad 1111.145944	dualbound = 3154009.308711, lowerbound=1233295.308711, norm of subgrad 38.404553	 stepsize= 1.000000 
-dualbound = 3154090.189360, lowerbound=1237873.189360, norm of subgrad 1113.207613	dualbound = 3154090.189360, lowerbound=1237873.189360, norm of subgrad 37.932580	 stepsize= 1.000000 
-dualbound = 3154212.022872, lowerbound=1236654.022872, norm of subgrad 1112.687298	dualbound = 3154212.022872, lowerbound=1236654.022872, norm of subgrad 39.253452	 stepsize= 1.000000 
-dualbound = 3154321.558034, lowerbound=1243074.558034, norm of subgrad 1115.547201	dualbound = 3154321.558034, lowerbound=1243074.558034, norm of subgrad 38.477723	 stepsize= 1.000000 
-dualbound = 3154421.260457, lowerbound=1235260.260457, norm of subgrad 1112.040134	dualbound = 3154421.260457, lowerbound=1235260.260457, norm of subgrad 38.375805	 stepsize= 1.000000 
-dualbound = 3154553.428882, lowerbound=1233167.428882, norm of subgrad 1111.070848	dualbound = 3154553.428882, lowerbound=1233167.428882, norm of subgrad 37.989057	 stepsize= 1.000000 
-dualbound = 3154661.229022, lowerbound=1233162.229022, norm of subgrad 1111.097309	dualbound = 3154661.229022, lowerbound=1233162.229022, norm of subgrad 38.507144	 stepsize= 1.000000 
-dualbound = 3154749.313244, lowerbound=1232170.313244, norm of subgrad 1110.640497	dualbound = 3154749.313244, lowerbound=1232170.313244, norm of subgrad 37.948442	 stepsize= 1.000000 
-dualbound = 3154859.108241, lowerbound=1237615.108241, norm of subgrad 1113.095283	dualbound = 3154859.108241, lowerbound=1237615.108241, norm of subgrad 38.416077	 stepsize= 1.000000 
-dualbound = 3154959.254697, lowerbound=1236793.254697, norm of subgrad 1112.711218	dualbound = 3154959.254697, lowerbound=1236793.254697, norm of subgrad 37.856921	 stepsize= 1.000000 
-dualbound = 3155061.271776, lowerbound=1232792.271776, norm of subgrad 1110.972219	dualbound = 3155061.271776, lowerbound=1232792.271776, norm of subgrad 39.610820	 stepsize= 1.000000 
-dualbound = 3155157.143748, lowerbound=1234455.143748, norm of subgrad 1111.720353	dualbound = 3155157.143748, lowerbound=1234455.143748, norm of subgrad 39.533176	 stepsize= 1.000000 
-dualbound = 3155290.455882, lowerbound=1237415.455882, norm of subgrad 1112.992568	dualbound = 3155290.455882, lowerbound=1237415.455882, norm of subgrad 38.344649	 stepsize= 1.000000 
-dualbound = 3155435.654871, lowerbound=1236267.654871, norm of subgrad 1112.474564	dualbound = 3155435.654871, lowerbound=1236267.654871, norm of subgrad 38.434346	 stepsize= 1.000000 
-dualbound = 3155511.246659, lowerbound=1236308.246659, norm of subgrad 1112.522470	dualbound = 3155511.246659, lowerbound=1236308.246659, norm of subgrad 38.387391	 stepsize= 1.000000 
-dualbound = 3155614.455487, lowerbound=1234835.455487, norm of subgrad 1111.813139	dualbound = 3155614.455487, lowerbound=1234835.455487, norm of subgrad 37.365878	 stepsize= 1.000000 
-dualbound = 3155774.922926, lowerbound=1232279.922926, norm of subgrad 1110.663281	dualbound = 3155774.922926, lowerbound=1232279.922926, norm of subgrad 38.124368	 stepsize= 1.000000 
-dualbound = 3155846.165761, lowerbound=1236295.165761, norm of subgrad 1112.512546	dualbound = 3155846.165761, lowerbound=1236295.165761, norm of subgrad 38.213124	 stepsize= 1.000000 
-dualbound = 3155941.947518, lowerbound=1236483.947518, norm of subgrad 1112.617161	dualbound = 3155941.947518, lowerbound=1236483.947518, norm of subgrad 39.099639	 stepsize= 1.000000 
-dualbound = 3156035.728830, lowerbound=1238005.728830, norm of subgrad 1113.289598	dualbound = 3156035.728830, lowerbound=1238005.728830, norm of subgrad 38.752823	 stepsize= 1.000000 
-dualbound = 3156170.060511, lowerbound=1231445.060511, norm of subgrad 1110.308093	dualbound = 3156170.060511, lowerbound=1231445.060511, norm of subgrad 38.384003	 stepsize= 1.000000 
-dualbound = 3156310.825082, lowerbound=1236976.825082, norm of subgrad 1112.789210	dualbound = 3156310.825082, lowerbound=1236976.825082, norm of subgrad 38.259176	 stepsize= 1.000000 
-dualbound = 3156381.013211, lowerbound=1233639.013211, norm of subgrad 1111.327140	dualbound = 3156381.013211, lowerbound=1233639.013211, norm of subgrad 38.460215	 stepsize= 1.000000 
-dualbound = 3156517.388141, lowerbound=1236026.388141, norm of subgrad 1112.357132	dualbound = 3156517.388141, lowerbound=1236026.388141, norm of subgrad 38.057521	 stepsize= 1.000000 
-dualbound = 3156612.241944, lowerbound=1234032.241944, norm of subgrad 1111.487401	dualbound = 3156612.241944, lowerbound=1234032.241944, norm of subgrad 38.299527	 stepsize= 1.000000 
-dualbound = 3156710.571071, lowerbound=1236739.571071, norm of subgrad 1112.702822	dualbound = 3156710.571071, lowerbound=1236739.571071, norm of subgrad 38.292677	 stepsize= 1.000000 
-dualbound = 3156832.304162, lowerbound=1237548.304162, norm of subgrad 1113.067969	dualbound = 3156832.304162, lowerbound=1237548.304162, norm of subgrad 38.648843	 stepsize= 1.000000 
-dualbound = 3156939.168920, lowerbound=1232990.168920, norm of subgrad 1110.993775	dualbound = 3156939.168920, lowerbound=1232990.168920, norm of subgrad 37.734133	 stepsize= 1.000000 
-dualbound = 3157041.458621, lowerbound=1235373.458621, norm of subgrad 1112.077092	dualbound = 3157041.458621, lowerbound=1235373.458621, norm of subgrad 38.003812	 stepsize= 1.000000 
-dualbound = 3157165.679626, lowerbound=1234186.679626, norm of subgrad 1111.576664	dualbound = 3157165.679626, lowerbound=1234186.679626, norm of subgrad 39.245650	 stepsize= 1.000000 
-dualbound = 3157242.251011, lowerbound=1234700.251011, norm of subgrad 1111.791460	dualbound = 3157242.251011, lowerbound=1234700.251011, norm of subgrad 38.165054	 stepsize= 1.000000 
-dualbound = 3157387.014787, lowerbound=1236499.014787, norm of subgrad 1112.585734	dualbound = 3157387.014787, lowerbound=1236499.014787, norm of subgrad 38.636301	 stepsize= 1.000000 
-dualbound = 3157465.537882, lowerbound=1230917.537882, norm of subgrad 1110.101139	dualbound = 3157465.537882, lowerbound=1230917.537882, norm of subgrad 38.542484	 stepsize= 1.000000 
-dualbound = 3157571.092404, lowerbound=1234922.092404, norm of subgrad 1111.889874	dualbound = 3157571.092404, lowerbound=1234922.092404, norm of subgrad 38.503955	 stepsize= 1.000000 
-dualbound = 3157688.863419, lowerbound=1234329.863419, norm of subgrad 1111.624426	dualbound = 3157688.863419, lowerbound=1234329.863419, norm of subgrad 38.688125	 stepsize= 1.000000 
-dualbound = 3157830.070726, lowerbound=1233271.070726, norm of subgrad 1111.149437	dualbound = 3157830.070726, lowerbound=1233271.070726, norm of subgrad 39.028289	 stepsize= 1.000000 
-dualbound = 3157933.569721, lowerbound=1237285.569721, norm of subgrad 1112.940955	dualbound = 3157933.569721, lowerbound=1237285.569721, norm of subgrad 38.151003	 stepsize= 1.000000 
-dualbound = 3158031.472113, lowerbound=1231493.472113, norm of subgrad 1110.337549	dualbound = 3158031.472113, lowerbound=1231493.472113, norm of subgrad 38.130072	 stepsize= 1.000000 
-dualbound = 3158148.730008, lowerbound=1233818.730008, norm of subgrad 1111.409344	dualbound = 3158148.730008, lowerbound=1233818.730008, norm of subgrad 39.105727	 stepsize= 1.000000 
-dualbound = 3158244.240005, lowerbound=1233469.240005, norm of subgrad 1111.239956	dualbound = 3158244.240005, lowerbound=1233469.240005, norm of subgrad 38.477396	 stepsize= 1.000000 
-dualbound = 3158367.671024, lowerbound=1232013.671024, norm of subgrad 1110.578530	dualbound = 3158367.671024, lowerbound=1232013.671024, norm of subgrad 38.657871	 stepsize= 1.000000 
-dualbound = 3158485.708561, lowerbound=1242217.708561, norm of subgrad 1115.138874	dualbound = 3158485.708561, lowerbound=1242217.708561, norm of subgrad 37.881889	 stepsize= 1.000000 
-dualbound = 3158595.232920, lowerbound=1232397.232920, norm of subgrad 1110.721492	dualbound = 3158595.232920, lowerbound=1232397.232920, norm of subgrad 37.610163	 stepsize= 1.000000 
-dualbound = 3158710.318329, lowerbound=1237118.318329, norm of subgrad 1112.838856	dualbound = 3158710.318329, lowerbound=1237118.318329, norm of subgrad 37.511137	 stepsize= 1.000000 
-dualbound = 3158808.668067, lowerbound=1233154.668067, norm of subgrad 1111.074106	dualbound = 3158808.668067, lowerbound=1233154.668067, norm of subgrad 37.806742	 stepsize= 1.000000 
-dualbound = 3158926.477754, lowerbound=1236915.477754, norm of subgrad 1112.776922	dualbound = 3158926.477754, lowerbound=1236915.477754, norm of subgrad 38.403251	 stepsize= 1.000000 
-dualbound = 3159024.578769, lowerbound=1239525.578768, norm of subgrad 1113.972881	dualbound = 3159024.578769, lowerbound=1239525.578768, norm of subgrad 38.834276	 stepsize= 1.000000 
-dualbound = 3159100.626763, lowerbound=1237636.626763, norm of subgrad 1113.138189	dualbound = 3159100.626763, lowerbound=1237636.626763, norm of subgrad 38.936461	 stepsize= 1.000000 
-dualbound = 3159216.805954, lowerbound=1240102.805954, norm of subgrad 1114.225653	dualbound = 3159216.805954, lowerbound=1240102.805954, norm of subgrad 38.886748	 stepsize= 1.000000 
-dualbound = 3159354.143299, lowerbound=1235224.143299, norm of subgrad 1112.022996	dualbound = 3159354.143299, lowerbound=1235224.143299, norm of subgrad 38.837319	 stepsize= 1.000000 
-dualbound = 3159441.810811, lowerbound=1231125.810811, norm of subgrad 1110.152607	dualbound = 3159441.810811, lowerbound=1231125.810811, norm of subgrad 37.425493	 stepsize= 1.000000 
-dualbound = 3159582.287019, lowerbound=1234407.287019, norm of subgrad 1111.658800	dualbound = 3159582.287019, lowerbound=1234407.287019, norm of subgrad 38.967630	 stepsize= 1.000000 
-dualbound = 3159646.747388, lowerbound=1237368.747388, norm of subgrad 1112.990003	dualbound = 3159646.747388, lowerbound=1237368.747388, norm of subgrad 37.979736	 stepsize= 1.000000 
-dualbound = 3159765.828094, lowerbound=1239823.828094, norm of subgrad 1114.079812	dualbound = 3159765.828094, lowerbound=1239823.828094, norm of subgrad 38.328589	 stepsize= 1.000000 
-dualbound = 3159903.105356, lowerbound=1233075.105356, norm of subgrad 1111.017149	dualbound = 3159903.105356, lowerbound=1233075.105356, norm of subgrad 37.699831	 stepsize= 1.000000 
-dualbound = 3160014.767167, lowerbound=1238784.767167, norm of subgrad 1113.592280	dualbound = 3160014.767167, lowerbound=1238784.767167, norm of subgrad 37.611990	 stepsize= 1.000000 
-dualbound = 3160084.561689, lowerbound=1229808.561689, norm of subgrad 1109.556921	dualbound = 3160084.561689, lowerbound=1229808.561689, norm of subgrad 37.118655	 stepsize= 1.000000 
-dualbound = 3160225.066553, lowerbound=1240279.066553, norm of subgrad 1114.267502	dualbound = 3160225.066553, lowerbound=1240279.066553, norm of subgrad 38.124859	 stepsize= 1.000000 
-dualbound = 3160320.634295, lowerbound=1232176.634295, norm of subgrad 1110.619032	dualbound = 3160320.634295, lowerbound=1232176.634295, norm of subgrad 37.330520	 stepsize= 1.000000 
-dualbound = 3160443.453231, lowerbound=1238268.453231, norm of subgrad 1113.379743	dualbound = 3160443.453231, lowerbound=1238268.453231, norm of subgrad 38.325174	 stepsize= 1.000000 
-dualbound = 3160514.944391, lowerbound=1239190.944391, norm of subgrad 1113.806511	dualbound = 3160514.944391, lowerbound=1239190.944391, norm of subgrad 38.019615	 stepsize= 1.000000 
-dualbound = 3160635.707592, lowerbound=1234087.707592, norm of subgrad 1111.511002	dualbound = 3160635.707592, lowerbound=1234087.707592, norm of subgrad 38.597451	 stepsize= 1.000000 
-dualbound = 3160764.001432, lowerbound=1235249.001432, norm of subgrad 1111.994605	dualbound = 3160764.001432, lowerbound=1235249.001432, norm of subgrad 37.567191	 stepsize= 1.000000 
-dualbound = 3160891.357630, lowerbound=1235763.357630, norm of subgrad 1112.249234	dualbound = 3160891.357630, lowerbound=1235763.357630, norm of subgrad 38.240766	 stepsize= 1.000000 
-dualbound = 3160981.294960, lowerbound=1238604.294960, norm of subgrad 1113.534146	dualbound = 3160981.294960, lowerbound=1238604.294960, norm of subgrad 37.999175	 stepsize= 1.000000 
-dualbound = 3161065.326524, lowerbound=1237536.326524, norm of subgrad 1113.060792	dualbound = 3161065.326524, lowerbound=1237536.326524, norm of subgrad 38.105532	 stepsize= 1.000000 
-dualbound = 3161195.068555, lowerbound=1230932.068555, norm of subgrad 1110.090117	dualbound = 3161195.068555, lowerbound=1230932.068555, norm of subgrad 38.700672	 stepsize= 1.000000 
-dualbound = 3161280.709006, lowerbound=1239715.709006, norm of subgrad 1114.066744	dualbound = 3161280.709006, lowerbound=1239715.709006, norm of subgrad 38.918382	 stepsize= 1.000000 
-dualbound = 3161387.089348, lowerbound=1237911.089348, norm of subgrad 1113.214305	dualbound = 3161387.089348, lowerbound=1237911.089348, norm of subgrad 37.965515	 stepsize= 1.000000 
-dualbound = 3161531.893069, lowerbound=1231812.893069, norm of subgrad 1110.463819	dualbound = 3161531.893069, lowerbound=1231812.893069, norm of subgrad 38.233542	 stepsize= 1.000000 
-dualbound = 3161626.258574, lowerbound=1237603.258574, norm of subgrad 1113.076933	dualbound = 3161626.258574, lowerbound=1237603.258574, norm of subgrad 37.833391	 stepsize= 1.000000 
-dualbound = 3161729.687743, lowerbound=1236804.687743, norm of subgrad 1112.714558	dualbound = 3161729.687743, lowerbound=1236804.687743, norm of subgrad 37.847446	 stepsize= 1.000000 
-dualbound = 3161839.655484, lowerbound=1240345.655484, norm of subgrad 1114.306805	dualbound = 3161839.655484, lowerbound=1240345.655484, norm of subgrad 37.999576	 stepsize= 1.000000 
-dualbound = 3161966.856376, lowerbound=1240644.856376, norm of subgrad 1114.448230	dualbound = 3161966.856376, lowerbound=1240644.856376, norm of subgrad 38.434371	 stepsize= 1.000000 
-dualbound = 3162045.777860, lowerbound=1228788.777860, norm of subgrad 1109.114412	dualbound = 3162045.777860, lowerbound=1228788.777860, norm of subgrad 37.748132	 stepsize= 1.000000 
-dualbound = 3162161.703454, lowerbound=1235628.703454, norm of subgrad 1112.173864	dualbound = 3162161.703454, lowerbound=1235628.703454, norm of subgrad 37.655353	 stepsize= 1.000000 
-dualbound = 3162287.783369, lowerbound=1233962.783369, norm of subgrad 1111.421065	dualbound = 3162287.783369, lowerbound=1233962.783369, norm of subgrad 37.683948	 stepsize= 1.000000 
-dualbound = 3162397.277697, lowerbound=1240374.277697, norm of subgrad 1114.317853	dualbound = 3162397.277697, lowerbound=1240374.277697, norm of subgrad 37.940669	 stepsize= 1.000000 
-dualbound = 3162475.910063, lowerbound=1233474.910063, norm of subgrad 1111.234408	dualbound = 3162475.910063, lowerbound=1233474.910063, norm of subgrad 38.021472	 stepsize= 1.000000 
-dualbound = 3162593.452207, lowerbound=1238773.452207, norm of subgrad 1113.606058	dualbound = 3162593.452207, lowerbound=1238773.452207, norm of subgrad 38.243197	 stepsize= 1.000000 
-dualbound = 3162710.615045, lowerbound=1230482.615045, norm of subgrad 1109.860629	dualbound = 3162710.615045, lowerbound=1230482.615045, norm of subgrad 37.751329	 stepsize= 1.000000 
-dualbound = 3162813.836331, lowerbound=1238341.836331, norm of subgrad 1113.441438	dualbound = 3162813.836331, lowerbound=1238341.836331, norm of subgrad 38.900145	 stepsize= 1.000000 
-dualbound = 3162883.056656, lowerbound=1235960.056656, norm of subgrad 1112.366871	dualbound = 3162883.056656, lowerbound=1235960.056656, norm of subgrad 38.330410	 stepsize= 1.000000 
-dualbound = 3163021.286216, lowerbound=1233270.286216, norm of subgrad 1111.151334	dualbound = 3163021.286216, lowerbound=1233270.286216, norm of subgrad 39.054187	 stepsize= 1.000000 
-dualbound = 3163141.833543, lowerbound=1235141.833543, norm of subgrad 1111.986436	dualbound = 3163141.833543, lowerbound=1235141.833543, norm of subgrad 38.633500	 stepsize= 1.000000 
-dualbound = 3163219.245470, lowerbound=1239332.245470, norm of subgrad 1113.862310	dualbound = 3163219.245470, lowerbound=1239332.245470, norm of subgrad 37.873631	 stepsize= 1.000000 
-dualbound = 3163342.030320, lowerbound=1234258.030320, norm of subgrad 1111.605609	dualbound = 3163342.030320, lowerbound=1234258.030320, norm of subgrad 39.138023	 stepsize= 1.000000 
-dualbound = 3163435.482904, lowerbound=1242797.482904, norm of subgrad 1115.429282	dualbound = 3163435.482904, lowerbound=1242797.482904, norm of subgrad 38.450651	 stepsize= 1.000000 
-dualbound = 3163539.470559, lowerbound=1231868.470559, norm of subgrad 1110.502801	dualbound = 3163539.470559, lowerbound=1231868.470559, norm of subgrad 38.104956	 stepsize= 1.000000 
-dualbound = 3163655.869896, lowerbound=1245018.869896, norm of subgrad 1116.413843	dualbound = 3163655.869896, lowerbound=1245018.869896, norm of subgrad 38.436953	 stepsize= 1.000000 
-dualbound = 3163776.732538, lowerbound=1235427.732538, norm of subgrad 1112.105540	dualbound = 3163776.732538, lowerbound=1235427.732538, norm of subgrad 38.364862	 stepsize= 1.000000 
-dualbound = 3163860.277425, lowerbound=1238154.277425, norm of subgrad 1113.349126	dualbound = 3163860.277425, lowerbound=1238154.277425, norm of subgrad 38.412822	 stepsize= 1.000000 
-dualbound = 3163969.575755, lowerbound=1232466.575755, norm of subgrad 1110.777465	dualbound = 3163969.575755, lowerbound=1232466.575755, norm of subgrad 38.331427	 stepsize= 1.000000 
-dualbound = 3164079.241760, lowerbound=1242128.241760, norm of subgrad 1115.142700	dualbound = 3164079.241760, lowerbound=1242128.241760, norm of subgrad 39.046972	 stepsize= 1.000000 
-dualbound = 3164198.631259, lowerbound=1231618.631259, norm of subgrad 1110.389405	dualbound = 3164198.631259, lowerbound=1231618.631259, norm of subgrad 38.280406	 stepsize= 1.000000 
-dualbound = 3164330.048037, lowerbound=1233658.048037, norm of subgrad 1111.280814	dualbound = 3164330.048037, lowerbound=1233658.048037, norm of subgrad 37.661874	 stepsize= 1.000000 
-dualbound = 3164441.340194, lowerbound=1234752.340194, norm of subgrad 1111.786104	dualbound = 3164441.340194, lowerbound=1234752.340194, norm of subgrad 37.779520	 stepsize= 1.000000 
-dualbound = 3164559.825055, lowerbound=1238184.825055, norm of subgrad 1113.322875	dualbound = 3164559.825055, lowerbound=1238184.825055, norm of subgrad 37.702584	 stepsize= 1.000000 
-dualbound = 3164634.307910, lowerbound=1235144.307910, norm of subgrad 1111.978556	dualbound = 3164634.307910, lowerbound=1235144.307910, norm of subgrad 37.768808	 stepsize= 1.000000 
-dualbound = 3164752.955498, lowerbound=1236691.955498, norm of subgrad 1112.679179	dualbound = 3164752.955498, lowerbound=1236691.955498, norm of subgrad 38.492176	 stepsize= 1.000000 
-dualbound = 3164847.718388, lowerbound=1236176.718388, norm of subgrad 1112.475042	dualbound = 3164847.718388, lowerbound=1236176.718388, norm of subgrad 38.971309	 stepsize= 1.000000 
-dualbound = 3164933.209590, lowerbound=1236539.209590, norm of subgrad 1112.623121	dualbound = 3164933.209590, lowerbound=1236539.209590, norm of subgrad 38.425138	 stepsize= 1.000000 
-dualbound = 3165072.828457, lowerbound=1234103.828457, norm of subgrad 1111.490813	dualbound = 3165072.828457, lowerbound=1234103.828457, norm of subgrad 38.047587	 stepsize= 1.000000 
-dualbound = 3165182.740772, lowerbound=1237184.740772, norm of subgrad 1112.898352	dualbound = 3165182.740772, lowerbound=1237184.740772, norm of subgrad 38.313344	 stepsize= 1.000000 
-dualbound = 3165271.215689, lowerbound=1235942.215689, norm of subgrad 1112.350761	dualbound = 3165271.215689, lowerbound=1235942.215689, norm of subgrad 38.346772	 stepsize= 1.000000 
-dualbound = 3165387.720205, lowerbound=1241734.720205, norm of subgrad 1114.970726	dualbound = 3165387.720205, lowerbound=1241734.720205, norm of subgrad 39.261998	 stepsize= 1.000000 
-dualbound = 3165465.762269, lowerbound=1235320.762269, norm of subgrad 1112.108701	dualbound = 3165465.762269, lowerbound=1235320.762269, norm of subgrad 39.281574	 stepsize= 1.000000 
-dualbound = 3165582.670402, lowerbound=1240110.670402, norm of subgrad 1114.222451	dualbound = 3165582.670402, lowerbound=1240110.670402, norm of subgrad 38.702818	 stepsize= 1.000000 
-dualbound = 3165733.492569, lowerbound=1237058.492569, norm of subgrad 1112.809729	dualbound = 3165733.492569, lowerbound=1237058.492569, norm of subgrad 37.918626	 stepsize= 1.000000 
-dualbound = 3165847.754707, lowerbound=1243126.754707, norm of subgrad 1115.526671	dualbound = 3165847.754707, lowerbound=1243126.754707, norm of subgrad 37.245968	 stepsize= 1.000000 
-dualbound = 3165930.068989, lowerbound=1232871.068989, norm of subgrad 1110.975278	dualbound = 3165930.068989, lowerbound=1232871.068989, norm of subgrad 38.435846	 stepsize= 1.000000 
-dualbound = 3166023.285346, lowerbound=1238877.285346, norm of subgrad 1113.674677	dualbound = 3166023.285346, lowerbound=1238877.285346, norm of subgrad 38.564444	 stepsize= 1.000000 
-dualbound = 3166112.241679, lowerbound=1231710.241679, norm of subgrad 1110.427954	dualbound = 3166112.241679, lowerbound=1231710.241679, norm of subgrad 37.801539	 stepsize= 1.000000 
-dualbound = 3166249.674170, lowerbound=1239207.674170, norm of subgrad 1113.796065	dualbound = 3166249.674170, lowerbound=1239207.674170, norm of subgrad 38.359256	 stepsize= 1.000000 
-dualbound = 3166370.381686, lowerbound=1235064.381686, norm of subgrad 1111.927328	dualbound = 3166370.381686, lowerbound=1235064.381686, norm of subgrad 37.930298	 stepsize= 1.000000 
-dualbound = 3166459.132631, lowerbound=1239875.132631, norm of subgrad 1114.104633	dualbound = 3166459.132631, lowerbound=1239875.132631, norm of subgrad 37.983562	 stepsize= 1.000000 
-dualbound = 3166561.200058, lowerbound=1229438.200058, norm of subgrad 1109.413449	dualbound = 3166561.200058, lowerbound=1229438.200058, norm of subgrad 38.236990	 stepsize= 1.000000 
-dualbound = 3166692.013588, lowerbound=1237185.013588, norm of subgrad 1112.916445	dualbound = 3166692.013588, lowerbound=1237185.013588, norm of subgrad 39.100045	 stepsize= 1.000000 
-dualbound = 3166785.429966, lowerbound=1239860.429966, norm of subgrad 1114.077390	dualbound = 3166785.429966, lowerbound=1239860.429966, norm of subgrad 37.435496	 stepsize= 1.000000 
-dualbound = 3166884.768712, lowerbound=1235599.768712, norm of subgrad 1112.173444	dualbound = 3166884.768712, lowerbound=1235599.768712, norm of subgrad 37.806597	 stepsize= 1.000000 
-dualbound = 3167015.505074, lowerbound=1238923.505074, norm of subgrad 1113.663551	dualbound = 3167015.505074, lowerbound=1238923.505074, norm of subgrad 38.127895	 stepsize= 1.000000 
-dualbound = 3167130.270381, lowerbound=1235923.270381, norm of subgrad 1112.310780	dualbound = 3167130.270381, lowerbound=1235923.270381, norm of subgrad 37.772547	 stepsize= 1.000000 
-dualbound = 3167225.300750, lowerbound=1233184.300750, norm of subgrad 1111.095541	dualbound = 3167225.300750, lowerbound=1233184.300750, norm of subgrad 38.000400	 stepsize= 1.000000 
-dualbound = 3167335.122470, lowerbound=1241199.122470, norm of subgrad 1114.708986	dualbound = 3167335.122470, lowerbound=1241199.122470, norm of subgrad 38.559327	 stepsize= 1.000000 
-dualbound = 3167421.602772, lowerbound=1236892.602772, norm of subgrad 1112.752714	dualbound = 3167421.602772, lowerbound=1236892.602772, norm of subgrad 37.582979	 stepsize= 1.000000 
-dualbound = 3167549.397072, lowerbound=1237044.397072, norm of subgrad 1112.835296	dualbound = 3167549.397072, lowerbound=1237044.397072, norm of subgrad 38.546002	 stepsize= 1.000000 
-dualbound = 3167641.583372, lowerbound=1238969.583372, norm of subgrad 1113.704891	dualbound = 3167641.583372, lowerbound=1238969.583372, norm of subgrad 38.225467	 stepsize= 1.000000 
-dualbound = 3167764.914843, lowerbound=1238299.914843, norm of subgrad 1113.411386	dualbound = 3167764.914843, lowerbound=1238299.914843, norm of subgrad 38.837243	 stepsize= 1.000000 
-dualbound = 3167835.447478, lowerbound=1234676.447478, norm of subgrad 1111.789750	dualbound = 3167835.447478, lowerbound=1234676.447478, norm of subgrad 38.347524	 stepsize= 1.000000 
-dualbound = 3167972.784730, lowerbound=1237274.784730, norm of subgrad 1112.935211	dualbound = 3167972.784730, lowerbound=1237274.784730, norm of subgrad 38.566012	 stepsize= 1.000000 
-dualbound = 3168080.664284, lowerbound=1238758.664284, norm of subgrad 1113.612888	dualbound = 3168080.664284, lowerbound=1238758.664284, norm of subgrad 38.508175	 stepsize= 1.000000 
-dualbound = 3168193.665527, lowerbound=1235829.665527, norm of subgrad 1112.279491	dualbound = 3168193.665527, lowerbound=1235829.665527, norm of subgrad 38.065749	 stepsize= 1.000000 
-dualbound = 3168295.748907, lowerbound=1237983.748907, norm of subgrad 1113.247389	dualbound = 3168295.748907, lowerbound=1237983.748907, norm of subgrad 37.922070	 stepsize= 1.000000 
-dualbound = 3168400.855591, lowerbound=1235483.855591, norm of subgrad 1112.116386	dualbound = 3168400.855591, lowerbound=1235483.855591, norm of subgrad 37.737338	 stepsize= 1.000000 
-dualbound = 3168525.575273, lowerbound=1236109.575273, norm of subgrad 1112.353170	dualbound = 3168525.575273, lowerbound=1236109.575273, norm of subgrad 36.670420	 stepsize= 1.000000 
-dualbound = 3168647.601003, lowerbound=1237997.601003, norm of subgrad 1113.235645	dualbound = 3168647.601003, lowerbound=1237997.601003, norm of subgrad 37.656682	 stepsize= 1.000000 
-dualbound = 3168730.960690, lowerbound=1237080.960690, norm of subgrad 1112.849029	dualbound = 3168730.960690, lowerbound=1237080.960690, norm of subgrad 37.886141	 stepsize= 1.000000 
-dualbound = 3168849.546012, lowerbound=1240550.546012, norm of subgrad 1114.414441	dualbound = 3168849.546012, lowerbound=1240550.546012, norm of subgrad 38.569228	 stepsize= 1.000000 
-dualbound = 3168928.840337, lowerbound=1237639.840337, norm of subgrad 1113.085280	dualbound = 3168928.840337, lowerbound=1237639.840337, norm of subgrad 37.393774	 stepsize= 1.000000 
-dualbound = 3169045.510297, lowerbound=1240225.510297, norm of subgrad 1114.256034	dualbound = 3169045.510297, lowerbound=1240225.510297, norm of subgrad 38.179444	 stepsize= 1.000000 
-dualbound = 3169164.933199, lowerbound=1227214.933199, norm of subgrad 1108.372200	dualbound = 3169164.933199, lowerbound=1227214.933199, norm of subgrad 37.328580	 stepsize= 1.000000 
-dualbound = 3169267.734351, lowerbound=1245360.734351, norm of subgrad 1116.563807	dualbound = 3169267.734351, lowerbound=1245360.734351, norm of subgrad 38.168065	 stepsize= 1.000000 
-dualbound = 3169362.872018, lowerbound=1233115.872018, norm of subgrad 1111.077347	dualbound = 3169362.872018, lowerbound=1233115.872018, norm of subgrad 38.368446	 stepsize= 1.000000 
-dualbound = 3169441.222714, lowerbound=1243146.222714, norm of subgrad 1115.588285	dualbound = 3169441.222714, lowerbound=1243146.222714, norm of subgrad 38.332111	 stepsize= 1.000000 
-dualbound = 3169575.128522, lowerbound=1232482.128522, norm of subgrad 1110.792568	dualbound = 3169575.128522, lowerbound=1232482.128522, norm of subgrad 38.883233	 stepsize= 1.000000 
-dualbound = 3169687.551007, lowerbound=1238547.551007, norm of subgrad 1113.509565	dualbound = 3169687.551007, lowerbound=1238547.551007, norm of subgrad 38.320001	 stepsize= 1.000000 
-dualbound = 3169786.302909, lowerbound=1236773.302909, norm of subgrad 1112.695512	dualbound = 3169786.302909, lowerbound=1236773.302909, norm of subgrad 37.639765	 stepsize= 1.000000 
-dualbound = 3169914.219255, lowerbound=1237148.219255, norm of subgrad 1112.900364	dualbound = 3169914.219255, lowerbound=1237148.219255, norm of subgrad 39.075777	 stepsize= 1.000000 
-dualbound = 3169987.915125, lowerbound=1241186.915125, norm of subgrad 1114.674802	dualbound = 3169987.915125, lowerbound=1241186.915125, norm of subgrad 37.238366	 stepsize= 1.000000 
-dualbound = 3170126.353268, lowerbound=1232913.353268, norm of subgrad 1110.955604	dualbound = 3170126.353268, lowerbound=1232913.353268, norm of subgrad 38.045212	 stepsize= 1.000000 
-dualbound = 3170220.539073, lowerbound=1238846.539073, norm of subgrad 1113.644710	dualbound = 3170220.539073, lowerbound=1238846.539073, norm of subgrad 38.107556	 stepsize= 1.000000 
-dualbound = 3170354.739148, lowerbound=1236083.739148, norm of subgrad 1112.383809	dualbound = 3170354.739148, lowerbound=1236083.739148, norm of subgrad 38.055224	 stepsize= 1.000000 
-dualbound = 3170439.705091, lowerbound=1235009.705091, norm of subgrad 1111.893298	dualbound = 3170439.705091, lowerbound=1235009.705091, norm of subgrad 37.174803	 stepsize= 1.000000 
-dualbound = 3170546.470645, lowerbound=1239130.470645, norm of subgrad 1113.747939	dualbound = 3170546.470645, lowerbound=1239130.470645, norm of subgrad 37.560159	 stepsize= 1.000000 
-dualbound = 3170688.197668, lowerbound=1235063.197668, norm of subgrad 1111.933090	dualbound = 3170688.197668, lowerbound=1235063.197668, norm of subgrad 38.389152	 stepsize= 1.000000 
-dualbound = 3170752.483789, lowerbound=1239644.483789, norm of subgrad 1114.013233	dualbound = 3170752.483789, lowerbound=1239644.483789, norm of subgrad 38.016919	 stepsize= 1.000000 
-dualbound = 3170872.791563, lowerbound=1237206.791563, norm of subgrad 1112.915896	dualbound = 3170872.791563, lowerbound=1237206.791563, norm of subgrad 38.669210	 stepsize= 1.000000 
-dualbound = 3170985.060936, lowerbound=1236425.060936, norm of subgrad 1112.565531	dualbound = 3170985.060936, lowerbound=1236425.060936, norm of subgrad 38.591053	 stepsize= 1.000000 
-dualbound = 3171082.171828, lowerbound=1235988.171828, norm of subgrad 1112.406927	dualbound = 3171082.171828, lowerbound=1235988.171828, norm of subgrad 39.472913	 stepsize= 1.000000 
-dualbound = 3171144.631572, lowerbound=1234629.631572, norm of subgrad 1111.739012	dualbound = 3171144.631572, lowerbound=1234629.631572, norm of subgrad 37.369235	 stepsize= 1.000000 
-dualbound = 3171313.879402, lowerbound=1237225.879402, norm of subgrad 1112.924921	dualbound = 3171313.879402, lowerbound=1237225.879402, norm of subgrad 39.309640	 stepsize= 1.000000 
-dualbound = 3171409.238740, lowerbound=1237108.238740, norm of subgrad 1112.850951	dualbound = 3171409.238740, lowerbound=1237108.238740, norm of subgrad 37.740685	 stepsize= 1.000000 
-dualbound = 3171539.234704, lowerbound=1236017.234704, norm of subgrad 1112.351669	dualbound = 3171539.234704, lowerbound=1236017.234704, norm of subgrad 37.934100	 stepsize= 1.000000 
-dualbound = 3171647.593652, lowerbound=1235372.593652, norm of subgrad 1112.090191	dualbound = 3171647.593652, lowerbound=1235372.593652, norm of subgrad 38.475433	 stepsize= 1.000000 
-dualbound = 3171707.602511, lowerbound=1235168.602511, norm of subgrad 1111.997573	dualbound = 3171707.602511, lowerbound=1235168.602511, norm of subgrad 37.815458	 stepsize= 1.000000 
-dualbound = 3171840.589882, lowerbound=1237721.589882, norm of subgrad 1113.120654	dualbound = 3171840.589882, lowerbound=1237721.589882, norm of subgrad 38.065567	 stepsize= 1.000000 
-dualbound = 3171953.002947, lowerbound=1239637.002947, norm of subgrad 1113.986536	dualbound = 3171953.002947, lowerbound=1239637.002947, norm of subgrad 37.965946	 stepsize= 1.000000 
-dualbound = 3172067.404859, lowerbound=1234925.404859, norm of subgrad 1111.865282	dualbound = 3172067.404859, lowerbound=1234925.404859, norm of subgrad 37.860295	 stepsize= 1.000000 
-dualbound = 3172160.889336, lowerbound=1239427.889336, norm of subgrad 1113.922300	dualbound = 3172160.889336, lowerbound=1239427.889336, norm of subgrad 38.580882	 stepsize= 1.000000 
-dualbound = 3172270.398473, lowerbound=1231605.398473, norm of subgrad 1110.411815	dualbound = 3172270.398473, lowerbound=1231605.398473, norm of subgrad 38.968053	 stepsize= 1.000000 
-dualbound = 3172371.115150, lowerbound=1238621.115150, norm of subgrad 1113.527330	dualbound = 3172371.115150, lowerbound=1238621.115150, norm of subgrad 37.718917	 stepsize= 1.000000 
-dualbound = 3172505.999631, lowerbound=1239770.999631, norm of subgrad 1114.062835	dualbound = 3172505.999631, lowerbound=1239770.999631, norm of subgrad 38.728342	 stepsize= 1.000000 
-dualbound = 3172613.691242, lowerbound=1243500.691242, norm of subgrad 1115.693816	dualbound = 3172613.691242, lowerbound=1243500.691242, norm of subgrad 37.144200	 stepsize= 1.000000 
-dualbound = 3172738.980169, lowerbound=1236210.980169, norm of subgrad 1112.409987	dualbound = 3172738.980169, lowerbound=1236210.980169, norm of subgrad 37.017414	 stepsize= 1.000000 
-dualbound = 3172833.946208, lowerbound=1235560.946208, norm of subgrad 1112.142053	dualbound = 3172833.946208, lowerbound=1235560.946208, norm of subgrad 37.335855	 stepsize= 1.000000 
-dualbound = 3172943.301294, lowerbound=1238145.301294, norm of subgrad 1113.327131	dualbound = 3172943.301294, lowerbound=1238145.301294, norm of subgrad 38.227674	 stepsize= 1.000000 
-dualbound = 3173027.083387, lowerbound=1239690.083387, norm of subgrad 1114.025621	dualbound = 3173027.083387, lowerbound=1239690.083387, norm of subgrad 38.036589	 stepsize= 1.000000 
-dualbound = 3173142.421328, lowerbound=1234508.421328, norm of subgrad 1111.684947	dualbound = 3173142.421328, lowerbound=1234508.421328, norm of subgrad 38.083303	 stepsize= 1.000000 
-dualbound = 3173241.622066, lowerbound=1238506.622066, norm of subgrad 1113.509148	dualbound = 3173241.622066, lowerbound=1238506.622066, norm of subgrad 38.667826	 stepsize= 1.000000 
-dualbound = 3173335.696329, lowerbound=1234783.696329, norm of subgrad 1111.816845	dualbound = 3173335.696329, lowerbound=1234783.696329, norm of subgrad 38.040429	 stepsize= 1.000000 
-dualbound = 3173438.876436, lowerbound=1237180.876436, norm of subgrad 1112.908746	dualbound = 3173438.876436, lowerbound=1237180.876436, norm of subgrad 38.576938	 stepsize= 1.000000 
-dualbound = 3173583.363632, lowerbound=1238527.363632, norm of subgrad 1113.482988	dualbound = 3173583.363632, lowerbound=1238527.363632, norm of subgrad 38.229402	 stepsize= 1.000000 
-dualbound = 3173659.885445, lowerbound=1233405.885445, norm of subgrad 1111.211449	dualbound = 3173659.885445, lowerbound=1233405.885445, norm of subgrad 38.229855	 stepsize= 1.000000 
-dualbound = 3173763.279645, lowerbound=1237600.279645, norm of subgrad 1113.110632	dualbound = 3173763.279645, lowerbound=1237600.279645, norm of subgrad 38.966578	 stepsize= 1.000000 
-dualbound = 3173873.031603, lowerbound=1232136.031603, norm of subgrad 1110.605255	dualbound = 3173873.031603, lowerbound=1232136.031603, norm of subgrad 37.653047	 stepsize= 1.000000 
-dualbound = 3173999.565156, lowerbound=1235284.565156, norm of subgrad 1112.040271	dualbound = 3173999.565156, lowerbound=1235284.565156, norm of subgrad 38.412674	 stepsize= 1.000000 
-dualbound = 3174088.683194, lowerbound=1240846.683194, norm of subgrad 1114.542814	dualbound = 3174088.683194, lowerbound=1240846.683194, norm of subgrad 38.054146	 stepsize= 1.000000 
-dualbound = 3174204.797311, lowerbound=1236557.797311, norm of subgrad 1112.614847	dualbound = 3174204.797311, lowerbound=1236557.797311, norm of subgrad 38.342067	 stepsize= 1.000000 
-dualbound = 3174312.249190, lowerbound=1238290.249190, norm of subgrad 1113.385490	dualbound = 3174312.249190, lowerbound=1238290.249190, norm of subgrad 38.005945	 stepsize= 1.000000 
-dualbound = 3174431.115605, lowerbound=1232410.115605, norm of subgrad 1110.737645	dualbound = 3174431.115605, lowerbound=1232410.115605, norm of subgrad 38.037697	 stepsize= 1.000000 
-dualbound = 3174514.360081, lowerbound=1238921.360081, norm of subgrad 1113.681894	dualbound = 3174514.360081, lowerbound=1238921.360081, norm of subgrad 38.068944	 stepsize= 1.000000 
-dualbound = 3174637.142961, lowerbound=1241009.142961, norm of subgrad 1114.597301	dualbound = 3174637.142961, lowerbound=1241009.142961, norm of subgrad 37.957646	 stepsize= 1.000000 
-dualbound = 3174749.589647, lowerbound=1238057.589647, norm of subgrad 1113.267977	dualbound = 3174749.589647, lowerbound=1238057.589647, norm of subgrad 37.688814	 stepsize= 1.000000 
-dualbound = 3174866.462840, lowerbound=1240439.462840, norm of subgrad 1114.361460	dualbound = 3174866.462840, lowerbound=1240439.462840, norm of subgrad 38.456120	 stepsize= 1.000000 
-dualbound = 3174950.253882, lowerbound=1235368.253882, norm of subgrad 1112.066209	dualbound = 3174950.253882, lowerbound=1235368.253882, norm of subgrad 37.507213	 stepsize= 1.000000 
-dualbound = 3175074.186078, lowerbound=1237368.186078, norm of subgrad 1112.967738	dualbound = 3175074.186078, lowerbound=1237368.186078, norm of subgrad 38.117348	 stepsize= 1.000000 
-dualbound = 3175191.670049, lowerbound=1240784.670049, norm of subgrad 1114.487178	dualbound = 3175191.670049, lowerbound=1240784.670049, norm of subgrad 37.609626	 stepsize= 1.000000 
-dualbound = 3175287.750988, lowerbound=1239308.750988, norm of subgrad 1113.827523	dualbound = 3175287.750988, lowerbound=1239308.750988, norm of subgrad 37.404290	 stepsize= 1.000000 
-dualbound = 3175406.694115, lowerbound=1239153.694115, norm of subgrad 1113.774526	dualbound = 3175406.694115, lowerbound=1239153.694115, norm of subgrad 38.196114	 stepsize= 1.000000 
-dualbound = 3175495.152576, lowerbound=1232637.152576, norm of subgrad 1110.831739	dualbound = 3175495.152576, lowerbound=1232637.152576, norm of subgrad 37.395969	 stepsize= 1.000000 
-dualbound = 3175598.166153, lowerbound=1234470.166153, norm of subgrad 1111.694727	dualbound = 3175598.166153, lowerbound=1234470.166153, norm of subgrad 38.704180	 stepsize= 1.000000 
-dualbound = 3175696.919047, lowerbound=1238581.919047, norm of subgrad 1113.500749	dualbound = 3175696.919047, lowerbound=1238581.919047, norm of subgrad 37.426633	 stepsize= 1.000000 
-dualbound = 3175837.610283, lowerbound=1232087.610283, norm of subgrad 1110.575801	dualbound = 3175837.610283, lowerbound=1232087.610283, norm of subgrad 37.837696	 stepsize= 1.000000 
-dualbound = 3175927.252433, lowerbound=1239312.252433, norm of subgrad 1113.827748	dualbound = 3175927.252433, lowerbound=1239312.252433, norm of subgrad 37.277904	 stepsize= 1.000000 
-dualbound = 3176029.367086, lowerbound=1235770.367086, norm of subgrad 1112.278458	dualbound = 3176029.367086, lowerbound=1235770.367086, norm of subgrad 38.666712	 stepsize= 1.000000 
-dualbound = 3176120.950636, lowerbound=1243429.950636, norm of subgrad 1115.690795	dualbound = 3176120.950636, lowerbound=1243429.950636, norm of subgrad 37.783377	 stepsize= 1.000000 
-dualbound = 3176255.016371, lowerbound=1239435.016371, norm of subgrad 1113.868940	dualbound = 3176255.016371, lowerbound=1239435.016371, norm of subgrad 37.457519	 stepsize= 1.000000 
-dualbound = 3176361.606960, lowerbound=1237341.606960, norm of subgrad 1112.939624	dualbound = 3176361.606960, lowerbound=1237341.606960, norm of subgrad 37.411102	 stepsize= 1.000000 
-dualbound = 3176487.158757, lowerbound=1238769.158757, norm of subgrad 1113.584374	dualbound = 3176487.158757, lowerbound=1238769.158757, norm of subgrad 37.769721	 stepsize= 1.000000 
-dualbound = 3176549.318572, lowerbound=1234457.318572, norm of subgrad 1111.636325	dualbound = 3176549.318572, lowerbound=1234457.318572, norm of subgrad 36.608193	 stepsize= 1.000000 
-dualbound = 3176731.694004, lowerbound=1240355.694004, norm of subgrad 1114.282143	dualbound = 3176731.694004, lowerbound=1240355.694004, norm of subgrad 38.096922	 stepsize= 1.000000 
-dualbound = 3176785.286759, lowerbound=1235458.286759, norm of subgrad 1112.105789	dualbound = 3176785.286759, lowerbound=1235458.286759, norm of subgrad 37.075501	 stepsize= 1.000000 
-dualbound = 3176892.369574, lowerbound=1238455.369574, norm of subgrad 1113.476704	dualbound = 3176892.369574, lowerbound=1238455.369574, norm of subgrad 38.497829	 stepsize= 1.000000 
-dualbound = 3176966.410340, lowerbound=1241380.410340, norm of subgrad 1114.799718	dualbound = 3176966.410340, lowerbound=1241380.410340, norm of subgrad 38.367183	 stepsize= 1.000000 
-dualbound = 3177108.230453, lowerbound=1236855.230453, norm of subgrad 1112.785348	dualbound = 3177108.230453, lowerbound=1236855.230453, norm of subgrad 39.721784	 stepsize= 1.000000 
-dualbound = 3177167.046734, lowerbound=1239003.046734, norm of subgrad 1113.724403	dualbound = 3177167.046734, lowerbound=1239003.046734, norm of subgrad 37.918548	 stepsize= 1.000000 
-dualbound = 3177314.153096, lowerbound=1235160.153096, norm of subgrad 1112.009511	dualbound = 3177314.153096, lowerbound=1235160.153096, norm of subgrad 39.396781	 stepsize= 1.000000 
-dualbound = 3177406.195571, lowerbound=1238046.195571, norm of subgrad 1113.299688	dualbound = 3177406.195571, lowerbound=1238046.195571, norm of subgrad 38.497305	 stepsize= 1.000000 
-dualbound = 3177506.273693, lowerbound=1237250.273693, norm of subgrad 1112.965082	dualbound = 3177506.273693, lowerbound=1237250.273693, norm of subgrad 39.256568	 stepsize= 1.000000 
-dualbound = 3177605.901359, lowerbound=1234499.901359, norm of subgrad 1111.677967	dualbound = 3177605.901359, lowerbound=1234499.901359, norm of subgrad 37.783960	 stepsize= 1.000000 
-dualbound = 3177736.407847, lowerbound=1236936.407847, norm of subgrad 1112.771498	dualbound = 3177736.407847, lowerbound=1236936.407847, norm of subgrad 38.137993	 stepsize= 1.000000 
-dualbound = 3177861.486602, lowerbound=1240770.486602, norm of subgrad 1114.481263	dualbound = 3177861.486602, lowerbound=1240770.486602, norm of subgrad 37.723716	 stepsize= 1.000000 
-dualbound = 3177964.680978, lowerbound=1239257.680978, norm of subgrad 1113.800557	dualbound = 3177964.680978, lowerbound=1239257.680978, norm of subgrad 37.379063	 stepsize= 1.000000 
-dualbound = 3178064.702323, lowerbound=1237613.702323, norm of subgrad 1113.096448	dualbound = 3178064.702323, lowerbound=1237613.702323, norm of subgrad 38.340857	 stepsize= 1.000000 
-dualbound = 3178160.066120, lowerbound=1235856.066120, norm of subgrad 1112.286414	dualbound = 3178160.066120, lowerbound=1235856.066120, norm of subgrad 37.687714	 stepsize= 1.000000 
-dualbound = 3178266.838810, lowerbound=1239445.838810, norm of subgrad 1113.895794	dualbound = 3178266.838810, lowerbound=1239445.838810, norm of subgrad 37.746161	 stepsize= 1.000000 
-dualbound = 3178397.266307, lowerbound=1239394.266307, norm of subgrad 1113.867257	dualbound = 3178397.266307, lowerbound=1239394.266307, norm of subgrad 37.900231	 stepsize= 1.000000 
-dualbound = 3178484.989763, lowerbound=1238718.989763, norm of subgrad 1113.581155	dualbound = 3178484.989763, lowerbound=1238718.989763, norm of subgrad 37.838122	 stepsize= 1.000000 
-dualbound = 3178574.304172, lowerbound=1235972.304172, norm of subgrad 1112.327876	dualbound = 3178574.304172, lowerbound=1235972.304172, norm of subgrad 37.286920	 stepsize= 1.000000 
-dualbound = 3178728.588033, lowerbound=1235490.588033, norm of subgrad 1112.106824	dualbound = 3178728.588033, lowerbound=1235490.588033, norm of subgrad 38.016889	 stepsize= 1.000000 
-dualbound = 3178812.450636, lowerbound=1243796.450636, norm of subgrad 1115.827249	dualbound = 3178812.450636, lowerbound=1243796.450636, norm of subgrad 36.849187	 stepsize= 1.000000 
-dualbound = 3178930.708455, lowerbound=1239141.708455, norm of subgrad 1113.750739	dualbound = 3178930.708455, lowerbound=1239141.708455, norm of subgrad 37.646485	 stepsize= 1.000000 
-dualbound = 3179020.699566, lowerbound=1238277.699566, norm of subgrad 1113.348867	dualbound = 3179020.699566, lowerbound=1238277.699566, norm of subgrad 36.850931	 stepsize= 1.000000 
-dualbound = 3179144.846223, lowerbound=1234432.846223, norm of subgrad 1111.655903	dualbound = 3179144.846223, lowerbound=1234432.846223, norm of subgrad 38.342492	 stepsize= 1.000000 
-dualbound = 3179207.560847, lowerbound=1234006.560847, norm of subgrad 1111.433561	dualbound = 3179207.560847, lowerbound=1234006.560847, norm of subgrad 36.615770	 stepsize= 1.000000 
-dualbound = 3179369.887947, lowerbound=1242176.887947, norm of subgrad 1115.130884	dualbound = 3179369.887947, lowerbound=1242176.887947, norm of subgrad 38.759865	 stepsize= 1.000000 
-dualbound = 3179430.692100, lowerbound=1235702.692100, norm of subgrad 1112.239494	dualbound = 3179430.692100, lowerbound=1235702.692100, norm of subgrad 37.878809	 stepsize= 1.000000 
-dualbound = 3179547.718809, lowerbound=1240479.718809, norm of subgrad 1114.354844	dualbound = 3179547.718809, lowerbound=1240479.718809, norm of subgrad 37.736278	 stepsize= 1.000000 
-dualbound = 3179639.961098, lowerbound=1235426.961098, norm of subgrad 1112.106992	dualbound = 3179639.961098, lowerbound=1235426.961098, norm of subgrad 38.042638	 stepsize= 1.000000 
-dualbound = 3179753.502844, lowerbound=1235882.502844, norm of subgrad 1112.335607	dualbound = 3179753.502844, lowerbound=1235882.502844, norm of subgrad 39.006945	 stepsize= 1.000000 
-dualbound = 3179838.872135, lowerbound=1244744.872135, norm of subgrad 1116.299186	dualbound = 3179838.872135, lowerbound=1244744.872135, norm of subgrad 38.267078	 stepsize= 1.000000 
-dualbound = 3179961.810689, lowerbound=1237142.810689, norm of subgrad 1112.885803	dualbound = 3179961.810689, lowerbound=1237142.810689, norm of subgrad 38.664435	 stepsize= 1.000000 
-dualbound = 3180044.646053, lowerbound=1240770.646053, norm of subgrad 1114.533825	dualbound = 3180044.646053, lowerbound=1240770.646053, norm of subgrad 38.701878	 stepsize= 1.000000 
-dualbound = 3180163.318844, lowerbound=1237464.318844, norm of subgrad 1113.033835	dualbound = 3180163.318844, lowerbound=1237464.318844, norm of subgrad 38.712695	 stepsize= 1.000000 
-dualbound = 3180276.710916, lowerbound=1233286.710916, norm of subgrad 1111.132175	dualbound = 3180276.710916, lowerbound=1233286.710916, norm of subgrad 37.965670	 stepsize= 1.000000 
-dualbound = 3180385.648778, lowerbound=1238707.648778, norm of subgrad 1113.584145	dualbound = 3180385.648778, lowerbound=1238707.648778, norm of subgrad 38.352808	 stepsize= 1.000000 
-dualbound = 3180493.463019, lowerbound=1240735.463019, norm of subgrad 1114.502339	dualbound = 3180493.463019, lowerbound=1240735.463019, norm of subgrad 38.572195	 stepsize= 1.000000 
-dualbound = 3180588.040615, lowerbound=1236300.040615, norm of subgrad 1112.476085	dualbound = 3180588.040615, lowerbound=1236300.040615, norm of subgrad 37.384189	 stepsize= 1.000000 
-dualbound = 3180737.899868, lowerbound=1241328.899868, norm of subgrad 1114.701709	dualbound = 3180737.899868, lowerbound=1241328.899868, norm of subgrad 37.159915	 stepsize= 1.000000 
-dualbound = 3180816.862570, lowerbound=1236755.862570, norm of subgrad 1112.695764	dualbound = 3180816.862570, lowerbound=1236755.862570, norm of subgrad 37.615990	 stepsize= 1.000000 
-dualbound = 3180892.600525, lowerbound=1235827.600525, norm of subgrad 1112.292947	dualbound = 3180892.600525, lowerbound=1235827.600525, norm of subgrad 37.996552	 stepsize= 1.000000 
-dualbound = 3181008.575279, lowerbound=1239370.575279, norm of subgrad 1113.867396	dualbound = 3181008.575279, lowerbound=1239370.575279, norm of subgrad 38.025975	 stepsize= 1.000000 
-dualbound = 3181150.686700, lowerbound=1238886.686700, norm of subgrad 1113.616041	dualbound = 3181150.686700, lowerbound=1238886.686700, norm of subgrad 37.364574	 stepsize= 1.000000 
-dualbound = 3181242.633029, lowerbound=1236836.633029, norm of subgrad 1112.706894	dualbound = 3181242.633029, lowerbound=1236836.633029, norm of subgrad 37.039794	 stepsize= 1.000000 
-dualbound = 3181353.615394, lowerbound=1240539.615394, norm of subgrad 1114.389346	dualbound = 3181353.615394, lowerbound=1240539.615394, norm of subgrad 37.881161	 stepsize= 1.000000 
-dualbound = 3181452.389988, lowerbound=1238178.389988, norm of subgrad 1113.299775	dualbound = 3181452.389988, lowerbound=1238178.389988, norm of subgrad 36.834421	 stepsize= 1.000000 
-dualbound = 3181595.710066, lowerbound=1240782.710066, norm of subgrad 1114.505141	dualbound = 3181595.710066, lowerbound=1240782.710066, norm of subgrad 38.500910	 stepsize= 1.000000 
-dualbound = 3181637.128602, lowerbound=1235080.128602, norm of subgrad 1111.953294	dualbound = 3181637.128602, lowerbound=1235080.128602, norm of subgrad 37.435525	 stepsize= 1.000000 
-dualbound = 3181780.926719, lowerbound=1233832.926719, norm of subgrad 1111.406733	dualbound = 3181780.926719, lowerbound=1233832.926719, norm of subgrad 39.189260	 stepsize= 1.000000 
-dualbound = 3181845.911940, lowerbound=1241875.911940, norm of subgrad 1115.025969	dualbound = 3181845.911940, lowerbound=1241875.911940, norm of subgrad 38.366460	 stepsize= 1.000000 
-dualbound = 3181968.532663, lowerbound=1240901.532663, norm of subgrad 1114.601962	dualbound = 3181968.532663, lowerbound=1240901.532663, norm of subgrad 39.479371	 stepsize= 1.000000 
-dualbound = 3182075.477052, lowerbound=1240764.477052, norm of subgrad 1114.496064	dualbound = 3182075.477052, lowerbound=1240764.477052, norm of subgrad 37.999268	 stepsize= 1.000000 
-dualbound = 3182193.924933, lowerbound=1235938.924933, norm of subgrad 1112.339393	dualbound = 3182193.924933, lowerbound=1235938.924933, norm of subgrad 38.450590	 stepsize= 1.000000 
-dualbound = 3182289.469628, lowerbound=1237312.469628, norm of subgrad 1112.909911	dualbound = 3182289.469628, lowerbound=1237312.469628, norm of subgrad 36.763361	 stepsize= 1.000000 
-dualbound = 3182452.808261, lowerbound=1239355.808261, norm of subgrad 1113.841465	dualbound = 3182452.808261, lowerbound=1239355.808261, norm of subgrad 38.083312	 stepsize= 1.000000 
-dualbound = 3182494.001691, lowerbound=1237542.001691, norm of subgrad 1113.041779	dualbound = 3182494.001691, lowerbound=1237542.001691, norm of subgrad 36.894355	 stepsize= 1.000000 
-dualbound = 3182643.912670, lowerbound=1242163.912670, norm of subgrad 1115.133137	dualbound = 3182643.912670, lowerbound=1242163.912670, norm of subgrad 38.831829	 stepsize= 1.000000 
-dualbound = 3182716.640300, lowerbound=1236267.640300, norm of subgrad 1112.449837	dualbound = 3182716.640300, lowerbound=1236267.640300, norm of subgrad 36.738639	 stepsize= 1.000000 
-dualbound = 3182849.385419, lowerbound=1234404.385419, norm of subgrad 1111.640403	dualbound = 3182849.385419, lowerbound=1234404.385419, norm of subgrad 38.376361	 stepsize= 1.000000 
-dualbound = 3182924.330193, lowerbound=1244843.330193, norm of subgrad 1116.319547	dualbound = 3182924.330193, lowerbound=1244843.330193, norm of subgrad 37.429197	 stepsize= 1.000000 
-dualbound = 3183048.328060, lowerbound=1237061.328060, norm of subgrad 1112.824931	dualbound = 3183048.328060, lowerbound=1237061.328060, norm of subgrad 37.973647	 stepsize= 1.000000 
-dualbound = 3183153.801515, lowerbound=1243731.801515, norm of subgrad 1115.874456	dualbound = 3183153.801515, lowerbound=1243731.801515, norm of subgrad 39.363352	 stepsize= 1.000000 
-dualbound = 3183234.414494, lowerbound=1238652.414494, norm of subgrad 1113.572815	dualbound = 3183234.414494, lowerbound=1238652.414494, norm of subgrad 38.374640	 stepsize= 1.000000 
-dualbound = 3183372.158419, lowerbound=1234736.158419, norm of subgrad 1111.808058	dualbound = 3183372.158419, lowerbound=1234736.158419, norm of subgrad 38.971065	 stepsize= 1.000000 
-dualbound = 3183452.081123, lowerbound=1236616.081123, norm of subgrad 1112.643735	dualbound = 3183452.081123, lowerbound=1236616.081123, norm of subgrad 37.946313	 stepsize= 1.000000 
-dualbound = 3183559.131993, lowerbound=1238274.131993, norm of subgrad 1113.389030	dualbound = 3183559.131993, lowerbound=1238274.131993, norm of subgrad 38.315152	 stepsize= 1.000000 
-dualbound = 3183697.874872, lowerbound=1244233.874872, norm of subgrad 1116.032202	dualbound = 3183697.874872, lowerbound=1244233.874872, norm of subgrad 37.851590	 stepsize= 1.000000 
-dualbound = 3183787.927024, lowerbound=1239947.927024, norm of subgrad 1114.122043	dualbound = 3183787.927024, lowerbound=1239947.927024, norm of subgrad 37.550661	 stepsize= 1.000000 
-dualbound = 3183899.310706, lowerbound=1238343.310706, norm of subgrad 1113.418300	dualbound = 3183899.310706, lowerbound=1238343.310706, norm of subgrad 38.319495	 stepsize= 1.000000 
-dualbound = 3183979.013094, lowerbound=1240135.013094, norm of subgrad 1114.206899	dualbound = 3183979.013094, lowerbound=1240135.013094, norm of subgrad 37.439316	 stepsize= 1.000000 
-dualbound = 3184113.731243, lowerbound=1235461.731243, norm of subgrad 1112.104640	dualbound = 3184113.731243, lowerbound=1235461.731243, norm of subgrad 38.075164	 stepsize= 1.000000 
-dualbound = 3184205.081623, lowerbound=1239256.081623, norm of subgrad 1113.855054	dualbound = 3184205.081623, lowerbound=1239256.081623, norm of subgrad 38.837487	 stepsize= 1.000000 
-dualbound = 3184320.741894, lowerbound=1237566.741894, norm of subgrad 1113.035373	dualbound = 3184320.741894, lowerbound=1237566.741894, norm of subgrad 37.371918	 stepsize= 1.000000 
-dualbound = 3184427.517103, lowerbound=1237967.517103, norm of subgrad 1113.217641	dualbound = 3184427.517103, lowerbound=1237967.517103, norm of subgrad 37.319904	 stepsize= 1.000000 
-dualbound = 3184545.545236, lowerbound=1234769.545236, norm of subgrad 1111.758762	dualbound = 3184545.545236, lowerbound=1234769.545236, norm of subgrad 36.824287	 stepsize= 1.000000 
-dualbound = 3184633.068151, lowerbound=1242645.068151, norm of subgrad 1115.307163	dualbound = 3184633.068151, lowerbound=1242645.068151, norm of subgrad 36.776663	 stepsize= 1.000000 
-dualbound = 3184760.489291, lowerbound=1236313.489291, norm of subgrad 1112.458758	dualbound = 3184760.489291, lowerbound=1236313.489291, norm of subgrad 37.127094	 stepsize= 1.000000 
-dualbound = 3184866.932350, lowerbound=1238462.932350, norm of subgrad 1113.448217	dualbound = 3184866.932350, lowerbound=1238462.932350, norm of subgrad 37.555866	 stepsize= 1.000000 
-dualbound = 3184952.339360, lowerbound=1234854.339360, norm of subgrad 1111.863454	dualbound = 3184952.339360, lowerbound=1234854.339360, norm of subgrad 38.358923	 stepsize= 1.000000 
-dualbound = 3185067.110900, lowerbound=1243086.110900, norm of subgrad 1115.512936	dualbound = 3185067.110900, lowerbound=1243086.110900, norm of subgrad 37.386783	 stepsize= 1.000000 
-dualbound = 3185143.661957, lowerbound=1239872.661957, norm of subgrad 1114.108909	dualbound = 3185143.661957, lowerbound=1239872.661957, norm of subgrad 37.980930	 stepsize= 1.000000 
-dualbound = 3185286.177639, lowerbound=1240871.177639, norm of subgrad 1114.520156	dualbound = 3185286.177639, lowerbound=1240871.177639, norm of subgrad 37.769243	 stepsize= 1.000000 
-dualbound = 3185400.529834, lowerbound=1238441.529834, norm of subgrad 1113.414806	dualbound = 3185400.529834, lowerbound=1238441.529834, norm of subgrad 36.950672	 stepsize= 1.000000 
-dualbound = 3185484.498681, lowerbound=1235531.498681, norm of subgrad 1112.159385	dualbound = 3185484.498681, lowerbound=1235531.498681, norm of subgrad 38.091585	 stepsize= 1.000000 
-dualbound = 3185558.282430, lowerbound=1240496.282430, norm of subgrad 1114.377531	dualbound = 3185558.282430, lowerbound=1240496.282430, norm of subgrad 37.613611	 stepsize= 1.000000 
-dualbound = 3185685.362875, lowerbound=1238254.362875, norm of subgrad 1113.375212	dualbound = 3185685.362875, lowerbound=1238254.362875, norm of subgrad 38.432804	 stepsize= 1.000000 
-dualbound = 3185782.330297, lowerbound=1242119.330297, norm of subgrad 1115.126598	dualbound = 3185782.330297, lowerbound=1242119.330297, norm of subgrad 38.535275	 stepsize= 1.000000 
-dualbound = 3185883.742343, lowerbound=1236231.742343, norm of subgrad 1112.489435	dualbound = 3185883.742343, lowerbound=1236231.742343, norm of subgrad 38.760960	 stepsize= 1.000000 
-dualbound = 3185985.451913, lowerbound=1240705.451913, norm of subgrad 1114.500091	dualbound = 3185985.451913, lowerbound=1240705.451913, norm of subgrad 38.816357	 stepsize= 1.000000 
-dualbound = 3186077.192503, lowerbound=1234610.192503, norm of subgrad 1111.746910	dualbound = 3186077.192503, lowerbound=1234610.192503, norm of subgrad 38.245792	 stepsize= 1.000000 
-dualbound = 3186226.031275, lowerbound=1239652.031275, norm of subgrad 1113.998668	dualbound = 3186226.031275, lowerbound=1239652.031275, norm of subgrad 38.598430	 stepsize= 1.000000 
-dualbound = 3186327.997227, lowerbound=1236466.997227, norm of subgrad 1112.575839	dualbound = 3186327.997227, lowerbound=1236466.997227, norm of subgrad 38.209501	 stepsize= 1.000000 
-dualbound = 3186426.191837, lowerbound=1236579.191837, norm of subgrad 1112.606935	dualbound = 3186426.191837, lowerbound=1236579.191837, norm of subgrad 37.592481	 stepsize= 1.000000 
-dualbound = 3186536.357980, lowerbound=1242362.357980, norm of subgrad 1115.228388	dualbound = 3186536.357980, lowerbound=1242362.357980, norm of subgrad 38.498911	 stepsize= 1.000000 
-dualbound = 3186639.149931, lowerbound=1235957.149931, norm of subgrad 1112.340393	dualbound = 3186639.149931, lowerbound=1235957.149931, norm of subgrad 38.036718	 stepsize= 1.000000 
-dualbound = 3186731.216474, lowerbound=1240463.216474, norm of subgrad 1114.384232	dualbound = 3186731.216474, lowerbound=1240463.216474, norm of subgrad 38.484627	 stepsize= 1.000000 
-dualbound = 3186827.550844, lowerbound=1240318.550844, norm of subgrad 1114.296438	dualbound = 3186827.550844, lowerbound=1240318.550844, norm of subgrad 37.872607	 stepsize= 1.000000 
-dualbound = 3186964.294473, lowerbound=1241023.294473, norm of subgrad 1114.584808	dualbound = 3186964.294473, lowerbound=1241023.294473, norm of subgrad 37.586482	 stepsize= 1.000000 
-dualbound = 3187088.175849, lowerbound=1236246.175849, norm of subgrad 1112.420863	dualbound = 3187088.175849, lowerbound=1236246.175849, norm of subgrad 36.849442	 stepsize= 1.000000 
-dualbound = 3187185.706973, lowerbound=1245975.706973, norm of subgrad 1116.830653	dualbound = 3187185.706973, lowerbound=1245975.706973, norm of subgrad 37.848793	 stepsize= 1.000000 
-dualbound = 3187272.301929, lowerbound=1233206.301929, norm of subgrad 1111.068541	dualbound = 3187272.301929, lowerbound=1233206.301929, norm of subgrad 36.791235	 stepsize= 1.000000 
-dualbound = 3187383.045869, lowerbound=1237954.045869, norm of subgrad 1113.234048	dualbound = 3187383.045869, lowerbound=1237954.045869, norm of subgrad 38.036087	 stepsize= 1.000000 
-dualbound = 3187472.567228, lowerbound=1237936.567228, norm of subgrad 1113.209130	dualbound = 3187472.567228, lowerbound=1237936.567228, norm of subgrad 37.249448	 stepsize= 1.000000 
-dualbound = 3187578.224201, lowerbound=1241771.224201, norm of subgrad 1114.974540	dualbound = 3187578.224201, lowerbound=1241771.224201, norm of subgrad 38.764120	 stepsize= 1.000000 
-dualbound = 3187656.920734, lowerbound=1240070.920734, norm of subgrad 1114.219422	dualbound = 3187656.920734, lowerbound=1240070.920734, norm of subgrad 38.635431	 stepsize= 1.000000 
-dualbound = 3187792.940314, lowerbound=1240187.940314, norm of subgrad 1114.220328	dualbound = 3187792.940314, lowerbound=1240187.940314, norm of subgrad 37.881652	 stepsize= 1.000000 
-dualbound = 3187895.783790, lowerbound=1233813.783790, norm of subgrad 1111.390023	dualbound = 3187895.783790, lowerbound=1233813.783790, norm of subgrad 38.429721	 stepsize= 1.000000 
-dualbound = 3187991.427831, lowerbound=1242832.427831, norm of subgrad 1115.420740	dualbound = 3187991.427831, lowerbound=1242832.427831, norm of subgrad 37.770942	 stepsize= 1.000000 
-dualbound = 3188117.316003, lowerbound=1243124.316003, norm of subgrad 1115.554712	dualbound = 3188117.316003, lowerbound=1243124.316003, norm of subgrad 38.260792	 stepsize= 1.000000 
-dualbound = 3188180.919459, lowerbound=1241873.919459, norm of subgrad 1115.034044	dualbound = 3188180.919459, lowerbound=1241873.919459, norm of subgrad 38.608334	 stepsize= 1.000000 
-dualbound = 3188288.155916, lowerbound=1233469.155916, norm of subgrad 1111.236319	dualbound = 3188288.155916, lowerbound=1233469.155916, norm of subgrad 38.525790	 stepsize= 1.000000 
-dualbound = 3188419.466212, lowerbound=1245307.466212, norm of subgrad 1116.561000	dualbound = 3188419.466212, lowerbound=1245307.466212, norm of subgrad 39.144735	 stepsize= 1.000000 
-dualbound = 3188487.922693, lowerbound=1236806.922693, norm of subgrad 1112.756453	dualbound = 3188487.922693, lowerbound=1236806.922693, norm of subgrad 38.580519	 stepsize= 1.000000 
-dualbound = 3188621.806934, lowerbound=1241258.806934, norm of subgrad 1114.698976	dualbound = 3188621.806934, lowerbound=1241258.806934, norm of subgrad 37.800585	 stepsize= 1.000000 
-dualbound = 3188737.103326, lowerbound=1234512.103326, norm of subgrad 1111.693799	dualbound = 3188737.103326, lowerbound=1234512.103326, norm of subgrad 38.292250	 stepsize= 1.000000 
-dualbound = 3188844.035418, lowerbound=1238453.035418, norm of subgrad 1113.440180	dualbound = 3188844.035418, lowerbound=1238453.035418, norm of subgrad 37.455735	 stepsize= 1.000000 
-dualbound = 3188943.520378, lowerbound=1237547.520378, norm of subgrad 1113.038418	dualbound = 3188943.520378, lowerbound=1237547.520378, norm of subgrad 37.503133	 stepsize= 1.000000 
-dualbound = 3189070.472732, lowerbound=1243397.472732, norm of subgrad 1115.672655	dualbound = 3189070.472732, lowerbound=1243397.472732, norm of subgrad 38.143838	 stepsize= 1.000000 
-dualbound = 3189138.289825, lowerbound=1239075.289825, norm of subgrad 1113.746960	dualbound = 3189138.289825, lowerbound=1239075.289825, norm of subgrad 37.746749	 stepsize= 1.000000 
-dualbound = 3189251.739972, lowerbound=1242582.739972, norm of subgrad 1115.329879	dualbound = 3189251.739972, lowerbound=1242582.739972, norm of subgrad 38.619298	 stepsize= 1.000000 
-dualbound = 3189366.588574, lowerbound=1239969.588574, norm of subgrad 1114.129072	dualbound = 3189366.588574, lowerbound=1239969.588574, norm of subgrad 37.800114	 stepsize= 1.000000 
-dualbound = 3189461.756233, lowerbound=1241071.756233, norm of subgrad 1114.650060	dualbound = 3189461.756233, lowerbound=1241071.756233, norm of subgrad 38.316676	 stepsize= 1.000000 
-dualbound = 3189584.811123, lowerbound=1235881.811123, norm of subgrad 1112.288996	dualbound = 3189584.811123, lowerbound=1235881.811123, norm of subgrad 37.789614	 stepsize= 1.000000 
-dualbound = 3189692.544891, lowerbound=1238540.544891, norm of subgrad 1113.494295	dualbound = 3189692.544891, lowerbound=1238540.544891, norm of subgrad 37.904271	 stepsize= 1.000000 
-dualbound = 3189791.262261, lowerbound=1242466.262261, norm of subgrad 1115.253452	dualbound = 3189791.262261, lowerbound=1242466.262261, norm of subgrad 37.718926	 stepsize= 1.000000 
-dualbound = 3189901.972569, lowerbound=1238704.972569, norm of subgrad 1113.571270	dualbound = 3189901.972569, lowerbound=1238704.972569, norm of subgrad 38.035645	 stepsize= 1.000000 
-dualbound = 3189994.345425, lowerbound=1241891.345425, norm of subgrad 1115.016747	dualbound = 3189994.345425, lowerbound=1241891.345425, norm of subgrad 38.254057	 stepsize= 1.000000 
-dualbound = 3190105.747338, lowerbound=1237336.747338, norm of subgrad 1112.943281	dualbound = 3190105.747338, lowerbound=1237336.747338, norm of subgrad 37.648399	 stepsize= 1.000000 
-dualbound = 3190230.527036, lowerbound=1240404.527036, norm of subgrad 1114.326042	dualbound = 3190230.527036, lowerbound=1240404.527036, norm of subgrad 37.983940	 stepsize= 1.000000 
-dualbound = 3190320.757729, lowerbound=1236368.757729, norm of subgrad 1112.515958	dualbound = 3190320.757729, lowerbound=1236368.757729, norm of subgrad 37.592961	 stepsize= 1.000000 
-dualbound = 3190426.195568, lowerbound=1238775.195568, norm of subgrad 1113.587085	dualbound = 3190426.195568, lowerbound=1238775.195568, norm of subgrad 37.502504	 stepsize= 1.000000 
-dualbound = 3190531.685210, lowerbound=1242662.685210, norm of subgrad 1115.339269	dualbound = 3190531.685210, lowerbound=1242662.685210, norm of subgrad 37.742412	 stepsize= 1.000000 
-dualbound = 3190616.507720, lowerbound=1235913.507720, norm of subgrad 1112.316280	dualbound = 3190616.507720, lowerbound=1235913.507720, norm of subgrad 37.667260	 stepsize= 1.000000 
-dualbound = 3190750.558372, lowerbound=1240700.558372, norm of subgrad 1114.459761	dualbound = 3190750.558372, lowerbound=1240700.558372, norm of subgrad 38.132016	 stepsize= 1.000000 
-dualbound = 3190814.309382, lowerbound=1238914.309382, norm of subgrad 1113.656280	dualbound = 3190814.309382, lowerbound=1238914.309382, norm of subgrad 37.145000	 stepsize= 1.000000 
-dualbound = 3190952.394522, lowerbound=1241988.394522, norm of subgrad 1115.041432	dualbound = 3190952.394522, lowerbound=1241988.394522, norm of subgrad 38.302547	 stepsize= 1.000000 
-dualbound = 3191038.790191, lowerbound=1236508.790191, norm of subgrad 1112.598216	dualbound = 3191038.790191, lowerbound=1236508.790191, norm of subgrad 38.110309	 stepsize= 1.000000 
-dualbound = 3191160.003887, lowerbound=1243028.003887, norm of subgrad 1115.498545	dualbound = 3191160.003887, lowerbound=1243028.003887, norm of subgrad 37.818166	 stepsize= 1.000000 
-dualbound = 3191239.970031, lowerbound=1238547.970031, norm of subgrad 1113.502568	dualbound = 3191239.970031, lowerbound=1238547.970031, norm of subgrad 37.682438	 stepsize= 1.000000 
-dualbound = 3191364.950573, lowerbound=1241877.950573, norm of subgrad 1114.990561	dualbound = 3191364.950573, lowerbound=1241877.950573, norm of subgrad 38.091739	 stepsize= 1.000000 
-dualbound = 3191478.874997, lowerbound=1234452.874997, norm of subgrad 1111.669859	dualbound = 3191478.874997, lowerbound=1234452.874997, norm of subgrad 38.352633	 stepsize= 1.000000 
-dualbound = 3191566.879333, lowerbound=1241051.879333, norm of subgrad 1114.645629	dualbound = 3191566.879333, lowerbound=1241051.879333, norm of subgrad 38.353674	 stepsize= 1.000000 
-dualbound = 3191654.274258, lowerbound=1243176.274258, norm of subgrad 1115.583827	dualbound = 3191654.274258, lowerbound=1243176.274258, norm of subgrad 37.926177	 stepsize= 1.000000 
-dualbound = 3191803.048958, lowerbound=1239719.048958, norm of subgrad 1114.039967	dualbound = 3191803.048958, lowerbound=1239719.048958, norm of subgrad 38.920107	 stepsize= 1.000000 
-dualbound = 3191863.941254, lowerbound=1237848.941254, norm of subgrad 1113.208849	dualbound = 3191863.941254, lowerbound=1237848.941254, norm of subgrad 38.024890	 stepsize= 1.000000 
-dualbound = 3191977.063876, lowerbound=1237493.063876, norm of subgrad 1113.051240	dualbound = 3191977.063876, lowerbound=1237493.063876, norm of subgrad 38.770125	 stepsize= 1.000000 
-dualbound = 3192065.240315, lowerbound=1245300.240315, norm of subgrad 1116.543434	dualbound = 3192065.240315, lowerbound=1245300.240315, norm of subgrad 38.172980	 stepsize= 1.000000 
-dualbound = 3192202.192192, lowerbound=1239075.192192, norm of subgrad 1113.747365	dualbound = 3192202.192192, lowerbound=1239075.192192, norm of subgrad 38.664608	 stepsize= 1.000000 
-dualbound = 3192306.038445, lowerbound=1241212.038445, norm of subgrad 1114.677549	dualbound = 3192306.038445, lowerbound=1241212.038445, norm of subgrad 37.387782	 stepsize= 1.000000 
-dualbound = 3192426.609642, lowerbound=1238209.609642, norm of subgrad 1113.362299	dualbound = 3192426.609642, lowerbound=1238209.609642, norm of subgrad 38.556079	 stepsize= 1.000000 
-dualbound = 3192500.455273, lowerbound=1237626.455273, norm of subgrad 1113.096337	dualbound = 3192500.455273, lowerbound=1237626.455273, norm of subgrad 37.826520	 stepsize= 1.000000 
-dualbound = 3192596.784136, lowerbound=1242976.784136, norm of subgrad 1115.496654	dualbound = 3192596.784136, lowerbound=1242976.784136, norm of subgrad 38.109433	 stepsize= 1.000000 
-dualbound = 3192726.824852, lowerbound=1233922.824852, norm of subgrad 1111.391841	dualbound = 3192726.824852, lowerbound=1233922.824852, norm of subgrad 37.403753	 stepsize= 1.000000 
-dualbound = 3192844.268374, lowerbound=1241260.268374, norm of subgrad 1114.716676	dualbound = 3192844.268374, lowerbound=1241260.268374, norm of subgrad 38.084689	 stepsize= 1.000000 
-dualbound = 3192928.518764, lowerbound=1237790.518764, norm of subgrad 1113.147124	dualbound = 3192928.518764, lowerbound=1237790.518764, norm of subgrad 37.286062	 stepsize= 1.000000 
-dualbound = 3193053.402219, lowerbound=1239341.402219, norm of subgrad 1113.848465	dualbound = 3193053.402219, lowerbound=1239341.402219, norm of subgrad 37.972141	 stepsize= 1.000000 
-dualbound = 3193149.905318, lowerbound=1245487.905318, norm of subgrad 1116.614932	dualbound = 3193149.905318, lowerbound=1245487.905318, norm of subgrad 37.914418	 stepsize= 1.000000 
-dualbound = 3193248.081657, lowerbound=1237427.081657, norm of subgrad 1112.991052	dualbound = 3193248.081657, lowerbound=1237427.081657, norm of subgrad 37.685227	 stepsize= 1.000000 
-dualbound = 3193345.287426, lowerbound=1244278.287426, norm of subgrad 1116.073155	dualbound = 3193345.287426, lowerbound=1244278.287426, norm of subgrad 37.923683	 stepsize= 1.000000 
-dualbound = 3193455.850035, lowerbound=1235758.850035, norm of subgrad 1112.271932	dualbound = 3193455.850035, lowerbound=1235758.850035, norm of subgrad 38.737096	 stepsize= 1.000000 
-dualbound = 3193537.441187, lowerbound=1243685.441187, norm of subgrad 1115.806184	dualbound = 3193537.441187, lowerbound=1243685.441187, norm of subgrad 37.677462	 stepsize= 1.000000 
-dualbound = 3193674.054663, lowerbound=1238099.054663, norm of subgrad 1113.300972	dualbound = 3193674.054663, lowerbound=1238099.054663, norm of subgrad 38.426729	 stepsize= 1.000000 
-dualbound = 3193776.648502, lowerbound=1238116.648502, norm of subgrad 1113.278783	dualbound = 3193776.648502, lowerbound=1238116.648502, norm of subgrad 37.088999	 stepsize= 1.000000 
-dualbound = 3193891.270161, lowerbound=1236277.270161, norm of subgrad 1112.448322	dualbound = 3193891.270161, lowerbound=1236277.270161, norm of subgrad 37.129795	 stepsize= 1.000000 
-dualbound = 3193986.509425, lowerbound=1242680.509425, norm of subgrad 1115.346811	dualbound = 3193986.509425, lowerbound=1242680.509425, norm of subgrad 37.593075	 stepsize= 1.000000 
-dualbound = 3194047.938722, lowerbound=1243179.938722, norm of subgrad 1115.610568	dualbound = 3194047.938722, lowerbound=1243179.938722, norm of subgrad 38.320090	 stepsize= 1.000000 
-dualbound = 3194164.690096, lowerbound=1239517.690096, norm of subgrad 1113.928943	dualbound = 3194164.690096, lowerbound=1239517.690096, norm of subgrad 37.904503	 stepsize= 1.000000 
-dualbound = 3194284.349942, lowerbound=1243489.349942, norm of subgrad 1115.722344	dualbound = 3194284.349942, lowerbound=1243489.349942, norm of subgrad 38.296995	 stepsize= 1.000000 
-dualbound = 3194377.617550, lowerbound=1240076.617550, norm of subgrad 1114.195054	dualbound = 3194377.617550, lowerbound=1240076.617550, norm of subgrad 38.042971	 stepsize= 1.000000 
-dualbound = 3194476.599829, lowerbound=1235061.599829, norm of subgrad 1111.977338	dualbound = 3194476.599829, lowerbound=1235061.599829, norm of subgrad 39.127769	 stepsize= 1.000000 
-dualbound = 3194573.519289, lowerbound=1239014.519289, norm of subgrad 1113.722371	dualbound = 3194573.519289, lowerbound=1239014.519289, norm of subgrad 38.208892	 stepsize= 1.000000 
-dualbound = 3194703.839308, lowerbound=1239662.839308, norm of subgrad 1114.003519	dualbound = 3194703.839308, lowerbound=1239662.839308, norm of subgrad 38.357790	 stepsize= 1.000000 
-dualbound = 3194820.086450, lowerbound=1244546.086450, norm of subgrad 1116.194018	dualbound = 3194820.086450, lowerbound=1244546.086450, norm of subgrad 38.200093	 stepsize= 1.000000 
-dualbound = 3194910.571802, lowerbound=1235907.571802, norm of subgrad 1112.340133	dualbound = 3194910.571802, lowerbound=1235907.571802, norm of subgrad 38.516040	 stepsize= 1.000000 
-dualbound = 3194998.748491, lowerbound=1239863.748491, norm of subgrad 1114.094138	dualbound = 3194998.748491, lowerbound=1239863.748491, norm of subgrad 37.817677	 stepsize= 1.000000 
-dualbound = 3195133.093539, lowerbound=1240736.093539, norm of subgrad 1114.487368	dualbound = 3195133.093539, lowerbound=1240736.093539, norm of subgrad 38.475252	 stepsize= 1.000000 
-dualbound = 3195234.375050, lowerbound=1239181.375050, norm of subgrad 1113.802215	dualbound = 3195234.375050, lowerbound=1239181.375050, norm of subgrad 38.409394	 stepsize= 1.000000 
-dualbound = 3195312.687950, lowerbound=1243708.687950, norm of subgrad 1115.811672	dualbound = 3195312.687950, lowerbound=1243708.687950, norm of subgrad 37.487503	 stepsize= 1.000000 
-dualbound = 3195437.016218, lowerbound=1243336.016218, norm of subgrad 1115.641975	dualbound = 3195437.016218, lowerbound=1243336.016218, norm of subgrad 38.017473	 stepsize= 1.000000 
-dualbound = 3195545.958859, lowerbound=1242756.958859, norm of subgrad 1115.397220	dualbound = 3195545.958859, lowerbound=1242756.958859, norm of subgrad 38.248433	 stepsize= 1.000000 
-dualbound = 3195660.560908, lowerbound=1241137.560908, norm of subgrad 1114.624852	dualbound = 3195660.560908, lowerbound=1241137.560908, norm of subgrad 36.954053	 stepsize= 1.000000 
-dualbound = 3195731.210979, lowerbound=1245004.210979, norm of subgrad 1116.388468	dualbound = 3195731.210979, lowerbound=1245004.210979, norm of subgrad 37.278011	 stepsize= 1.000000 
-dualbound = 3195858.110104, lowerbound=1233413.110104, norm of subgrad 1111.164304	dualbound = 3195858.110104, lowerbound=1233413.110104, norm of subgrad 37.415226	 stepsize= 1.000000 
-dualbound = 3195960.358264, lowerbound=1237415.358264, norm of subgrad 1113.010044	dualbound = 3195960.358264, lowerbound=1237415.358264, norm of subgrad 38.447993	 stepsize= 1.000000 
-dualbound = 3196036.767227, lowerbound=1241137.767227, norm of subgrad 1114.665765	dualbound = 3196036.767227, lowerbound=1241137.767227, norm of subgrad 37.661771	 stepsize= 1.000000 
-dualbound = 3196159.350389, lowerbound=1236928.350389, norm of subgrad 1112.776865	dualbound = 3196159.350389, lowerbound=1236928.350389, norm of subgrad 38.295994	 stepsize= 1.000000 
-dualbound = 3196260.080992, lowerbound=1242636.080992, norm of subgrad 1115.312549	dualbound = 3196260.080992, lowerbound=1242636.080992, norm of subgrad 37.238832	 stepsize= 1.000000 
-dualbound = 3196402.810052, lowerbound=1243291.810052, norm of subgrad 1115.597064	dualbound = 3196402.810052, lowerbound=1243291.810052, norm of subgrad 37.519716	 stepsize= 1.000000 
-dualbound = 3196459.234661, lowerbound=1233675.234661, norm of subgrad 1111.333539	dualbound = 3196459.234661, lowerbound=1233675.234661, norm of subgrad 37.992428	 stepsize= 1.000000 
-dualbound = 3196587.395327, lowerbound=1241403.395327, norm of subgrad 1114.778182	dualbound = 3196587.395327, lowerbound=1241403.395327, norm of subgrad 38.146568	 stepsize= 1.000000 
-dualbound = 3196670.029328, lowerbound=1237949.029328, norm of subgrad 1113.231795	dualbound = 3196670.029328, lowerbound=1237949.029328, norm of subgrad 37.664758	 stepsize= 1.000000 
-dualbound = 3196811.943976, lowerbound=1245331.943976, norm of subgrad 1116.498967	dualbound = 3196811.943976, lowerbound=1245331.943976, norm of subgrad 37.147202	 stepsize= 1.000000 
-dualbound = 3196895.188214, lowerbound=1236290.188214, norm of subgrad 1112.470309	dualbound = 3196895.188214, lowerbound=1236290.188214, norm of subgrad 37.191992	 stepsize= 1.000000 
-dualbound = 3197024.988632, lowerbound=1243074.988632, norm of subgrad 1115.505262	dualbound = 3197024.988632, lowerbound=1243074.988632, norm of subgrad 37.507338	 stepsize= 1.000000 
-dualbound = 3197104.649083, lowerbound=1236936.649083, norm of subgrad 1112.732065	dualbound = 3197104.649083, lowerbound=1236936.649083, norm of subgrad 36.272034	 stepsize= 1.000000 
-dualbound = 3197229.685654, lowerbound=1241523.685654, norm of subgrad 1114.854110	dualbound = 3197229.685654, lowerbound=1241523.685654, norm of subgrad 38.743213	 stepsize= 1.000000 
-dualbound = 3197281.813115, lowerbound=1242103.813115, norm of subgrad 1115.116054	dualbound = 3197281.813115, lowerbound=1242103.813115, norm of subgrad 37.843460	 stepsize= 1.000000 
-dualbound = 3197408.069263, lowerbound=1237990.069263, norm of subgrad 1113.273582	dualbound = 3197408.069263, lowerbound=1237990.069263, norm of subgrad 38.913444	 stepsize= 1.000000 
-dualbound = 3197505.494310, lowerbound=1241171.494310, norm of subgrad 1114.673268	dualbound = 3197505.494310, lowerbound=1241171.494310, norm of subgrad 37.715051	 stepsize= 1.000000 
-dualbound = 3197615.719851, lowerbound=1241522.719851, norm of subgrad 1114.861301	dualbound = 3197615.719851, lowerbound=1241522.719851, norm of subgrad 38.771453	 stepsize= 1.000000 
-dualbound = 3197692.724515, lowerbound=1240225.724515, norm of subgrad 1114.295169	dualbound = 3197692.724515, lowerbound=1240225.724515, norm of subgrad 38.794390	 stepsize= 1.000000 
-dualbound = 3197809.909200, lowerbound=1246200.909200, norm of subgrad 1116.953853	dualbound = 3197809.909200, lowerbound=1246200.909200, norm of subgrad 38.758027	 stepsize= 1.000000 
-dualbound = 3197922.175983, lowerbound=1237599.175983, norm of subgrad 1113.084532	dualbound = 3197922.175983, lowerbound=1237599.175983, norm of subgrad 38.344058	 stepsize= 1.000000 
-dualbound = 3198025.764223, lowerbound=1240925.764223, norm of subgrad 1114.585916	dualbound = 3198025.764223, lowerbound=1240925.764223, norm of subgrad 38.465416	 stepsize= 1.000000 
-dualbound = 3198153.856884, lowerbound=1241096.856884, norm of subgrad 1114.645171	dualbound = 3198153.856884, lowerbound=1241096.856884, norm of subgrad 38.276529	 stepsize= 1.000000 
-dualbound = 3198254.775254, lowerbound=1242846.775254, norm of subgrad 1115.420448	dualbound = 3198254.775254, lowerbound=1242846.775254, norm of subgrad 37.641976	 stepsize= 1.000000 
-dualbound = 3198359.016324, lowerbound=1239558.016324, norm of subgrad 1113.897220	dualbound = 3198359.016324, lowerbound=1239558.016324, norm of subgrad 36.238668	 stepsize= 1.000000 
-dualbound = 3198496.299658, lowerbound=1241265.299658, norm of subgrad 1114.696506	dualbound = 3198496.299658, lowerbound=1241265.299658, norm of subgrad 37.686647	 stepsize= 1.000000 
-dualbound = 3198548.618589, lowerbound=1238176.618589, norm of subgrad 1113.347034	dualbound = 3198548.618589, lowerbound=1238176.618589, norm of subgrad 37.647296	 stepsize= 1.000000 
-dualbound = 3198661.207712, lowerbound=1242484.207712, norm of subgrad 1115.260152	dualbound = 3198661.207712, lowerbound=1242484.207712, norm of subgrad 37.862767	 stepsize= 1.000000 
-dualbound = 3198756.110070, lowerbound=1236625.110070, norm of subgrad 1112.617234	dualbound = 3198756.110070, lowerbound=1236625.110070, norm of subgrad 37.241138	 stepsize= 1.000000 
-dualbound = 3198895.625458, lowerbound=1237603.625458, norm of subgrad 1113.080242	dualbound = 3198895.625458, lowerbound=1237603.625458, norm of subgrad 38.516430	 stepsize= 1.000000 
-dualbound = 3198963.940447, lowerbound=1240473.940447, norm of subgrad 1114.387249	dualbound = 3198963.940447, lowerbound=1240473.940447, norm of subgrad 38.122369	 stepsize= 1.000000 
-dualbound = 3199085.656889, lowerbound=1246921.656889, norm of subgrad 1117.232589	dualbound = 3199085.656889, lowerbound=1246921.656889, norm of subgrad 37.532871	 stepsize= 1.000000 
-dualbound = 3199216.430163, lowerbound=1233576.430163, norm of subgrad 1111.249491	dualbound = 3199216.430163, lowerbound=1233576.430163, norm of subgrad 37.812343	 stepsize= 1.000000 
-dualbound = 3199299.561489, lowerbound=1242788.561489, norm of subgrad 1115.428421	dualbound = 3199299.561489, lowerbound=1242788.561489, norm of subgrad 38.407438	 stepsize= 1.000000 
-dualbound = 3199378.435782, lowerbound=1239417.435782, norm of subgrad 1113.902795	dualbound = 3199378.435782, lowerbound=1239417.435782, norm of subgrad 37.958850	 stepsize= 1.000000 
-dualbound = 3199510.611301, lowerbound=1244214.611301, norm of subgrad 1116.042388	dualbound = 3199510.611301, lowerbound=1244214.611301, norm of subgrad 38.316779	 stepsize= 1.000000 
-dualbound = 3199601.059910, lowerbound=1240238.059910, norm of subgrad 1114.262115	dualbound = 3199601.059910, lowerbound=1240238.059910, norm of subgrad 37.847703	 stepsize= 1.000000 
-dualbound = 3199734.970639, lowerbound=1245426.970639, norm of subgrad 1116.605110	dualbound = 3199734.970639, lowerbound=1245426.970639, norm of subgrad 38.909006	 stepsize= 1.000000 
-dualbound = 3199794.972761, lowerbound=1240502.972761, norm of subgrad 1114.402967	dualbound = 3199794.972761, lowerbound=1240502.972761, norm of subgrad 38.092022	 stepsize= 1.000000 
-dualbound = 3199916.374335, lowerbound=1239296.374335, norm of subgrad 1113.815233	dualbound = 3199916.374335, lowerbound=1239296.374335, norm of subgrad 37.541997	 stepsize= 1.000000 
-dualbound = 3200011.077370, lowerbound=1237061.077370, norm of subgrad 1112.818528	dualbound = 3200011.077370, lowerbound=1237061.077370, norm of subgrad 37.399238	 stepsize= 1.000000 
-dualbound = 3200141.797453, lowerbound=1244695.797453, norm of subgrad 1116.252569	dualbound = 3200141.797453, lowerbound=1244695.797453, norm of subgrad 38.140793	 stepsize= 1.000000 
-dualbound = 3200214.847522, lowerbound=1238061.847522, norm of subgrad 1113.271686	dualbound = 3200214.847522, lowerbound=1238061.847522, norm of subgrad 37.216261	 stepsize= 1.000000 
-dualbound = 3200347.015030, lowerbound=1238881.015030, norm of subgrad 1113.643576	dualbound = 3200347.015030, lowerbound=1238881.015030, norm of subgrad 38.120434	 stepsize= 1.000000 
-dualbound = 3200436.669521, lowerbound=1239354.669521, norm of subgrad 1113.836464	dualbound = 3200436.669521, lowerbound=1239354.669521, norm of subgrad 36.968290	 stepsize= 1.000000 
-dualbound = 3200540.083313, lowerbound=1243936.083313, norm of subgrad 1115.905947	dualbound = 3200540.083313, lowerbound=1243936.083313, norm of subgrad 37.595396	 stepsize= 1.000000 
-dualbound = 3200636.780885, lowerbound=1245222.780885, norm of subgrad 1116.512777	dualbound = 3200636.780885, lowerbound=1245222.780885, norm of subgrad 38.401791	 stepsize= 1.000000 
-dualbound = 3200729.223764, lowerbound=1234837.223764, norm of subgrad 1111.848562	dualbound = 3200729.223764, lowerbound=1234837.223764, norm of subgrad 38.241900	 stepsize= 1.000000 
-dualbound = 3200835.898861, lowerbound=1242183.898861, norm of subgrad 1115.111608	dualbound = 3200835.898861, lowerbound=1242183.898861, norm of subgrad 37.372117	 stepsize= 1.000000 
-dualbound = 3200972.097030, lowerbound=1240508.097030, norm of subgrad 1114.377448	dualbound = 3200972.097030, lowerbound=1240508.097030, norm of subgrad 38.277907	 stepsize= 1.000000 
-dualbound = 3201063.452358, lowerbound=1239367.452358, norm of subgrad 1113.848038	dualbound = 3201063.452358, lowerbound=1239367.452358, norm of subgrad 37.166589	 stepsize= 1.000000 
-dualbound = 3201189.999942, lowerbound=1236702.999942, norm of subgrad 1112.645945	dualbound = 3201189.999942, lowerbound=1236702.999942, norm of subgrad 37.477294	 stepsize= 1.000000 
-dualbound = 3201284.270434, lowerbound=1242058.270434, norm of subgrad 1115.074110	dualbound = 3201284.270434, lowerbound=1242058.270434, norm of subgrad 37.765997	 stepsize= 1.000000 
-dualbound = 3201376.045925, lowerbound=1238071.045925, norm of subgrad 1113.309052	dualbound = 3201376.045925, lowerbound=1238071.045925, norm of subgrad 38.441846	 stepsize= 1.000000 
-dualbound = 3201450.617561, lowerbound=1244780.617561, norm of subgrad 1116.322811	dualbound = 3201450.617561, lowerbound=1244780.617561, norm of subgrad 38.348033	 stepsize= 1.000000 
-dualbound = 3201581.558583, lowerbound=1237323.558583, norm of subgrad 1112.962514	dualbound = 3201581.558583, lowerbound=1237323.558583, norm of subgrad 38.638595	 stepsize= 1.000000 
-dualbound = 3201681.671546, lowerbound=1243569.671546, norm of subgrad 1115.769542	dualbound = 3201681.671546, lowerbound=1243569.671546, norm of subgrad 38.368124	 stepsize= 1.000000 
-dualbound = 3201766.167350, lowerbound=1239954.167350, norm of subgrad 1114.157156	dualbound = 3201766.167350, lowerbound=1239954.167350, norm of subgrad 38.425198	 stepsize= 1.000000 
-dualbound = 3201888.047797, lowerbound=1242963.047797, norm of subgrad 1115.496772	dualbound = 3201888.047797, lowerbound=1242963.047797, norm of subgrad 38.624868	 stepsize= 1.000000 
-dualbound = 3201998.181270, lowerbound=1239897.181270, norm of subgrad 1114.099269	dualbound = 3201998.181270, lowerbound=1239897.181270, norm of subgrad 37.817106	 stepsize= 1.000000 
-dualbound = 3202125.908854, lowerbound=1243531.908854, norm of subgrad 1115.717665	dualbound = 3202125.908854, lowerbound=1243531.908854, norm of subgrad 37.705803	 stepsize= 1.000000 
-dualbound = 3202215.224748, lowerbound=1238885.224748, norm of subgrad 1113.623017	dualbound = 3202215.224748, lowerbound=1238885.224748, norm of subgrad 36.882461	 stepsize= 1.000000 
-dualbound = 3202324.419913, lowerbound=1239219.419913, norm of subgrad 1113.788768	dualbound = 3202324.419913, lowerbound=1239219.419913, norm of subgrad 37.619080	 stepsize= 1.000000 
-dualbound = 3202410.179831, lowerbound=1244170.179831, norm of subgrad 1116.039954	dualbound = 3202410.179831, lowerbound=1244170.179831, norm of subgrad 38.219889	 stepsize= 1.000000 
-dualbound = 3202504.866007, lowerbound=1235622.866007, norm of subgrad 1112.204058	dualbound = 3202504.866007, lowerbound=1235622.866007, norm of subgrad 38.336486	 stepsize= 1.000000 
-dualbound = 3202606.219993, lowerbound=1244854.219993, norm of subgrad 1116.331143	dualbound = 3202606.219993, lowerbound=1244854.219993, norm of subgrad 37.978336	 stepsize= 1.000000 
-dualbound = 3202724.292385, lowerbound=1240368.292385, norm of subgrad 1114.298565	dualbound = 3202724.292385, lowerbound=1240368.292385, norm of subgrad 37.564244	 stepsize= 1.000000 
-dualbound = 3202821.133414, lowerbound=1239664.133414, norm of subgrad 1113.991532	dualbound = 3202821.133414, lowerbound=1239664.133414, norm of subgrad 37.547850	 stepsize= 1.000000 
-dualbound = 3202937.648655, lowerbound=1239462.648655, norm of subgrad 1113.896606	dualbound = 3202937.648655, lowerbound=1239462.648655, norm of subgrad 37.676455	 stepsize= 1.000000 
-dualbound = 3203020.657222, lowerbound=1236088.657222, norm of subgrad 1112.413438	dualbound = 3203020.657222, lowerbound=1236088.657222, norm of subgrad 38.183878	 stepsize= 1.000000 
-dualbound = 3203156.431454, lowerbound=1242315.431454, norm of subgrad 1115.177309	dualbound = 3203156.431454, lowerbound=1242315.431454, norm of subgrad 37.957532	 stepsize= 1.000000 
-dualbound = 3203247.288823, lowerbound=1235791.288823, norm of subgrad 1112.264936	dualbound = 3203247.288823, lowerbound=1235791.288823, norm of subgrad 37.853103	 stepsize= 1.000000 
-dualbound = 3203345.464331, lowerbound=1243726.464331, norm of subgrad 1115.804402	dualbound = 3203345.464331, lowerbound=1243726.464331, norm of subgrad 37.298465	 stepsize= 1.000000 
-dualbound = 3203454.239196, lowerbound=1242256.239196, norm of subgrad 1115.201434	dualbound = 3203454.239196, lowerbound=1242256.239196, norm of subgrad 39.073967	 stepsize= 1.000000 
-dualbound = 3203546.728524, lowerbound=1244512.728524, norm of subgrad 1116.186691	dualbound = 3203546.728524, lowerbound=1244512.728524, norm of subgrad 38.111538	 stepsize= 1.000000 
-dualbound = 3203659.784015, lowerbound=1240623.784015, norm of subgrad 1114.423521	dualbound = 3203659.784015, lowerbound=1240623.784015, norm of subgrad 37.802850	 stepsize= 1.000000 
-dualbound = 3203777.414165, lowerbound=1238822.414165, norm of subgrad 1113.600204	dualbound = 3203777.414165, lowerbound=1238822.414165, norm of subgrad 37.424994	 stepsize= 1.000000 
-dualbound = 3203867.313298, lowerbound=1243045.313298, norm of subgrad 1115.500925	dualbound = 3203867.313298, lowerbound=1243045.313298, norm of subgrad 37.241095	 stepsize= 1.000000 
-dualbound = 3203992.202810, lowerbound=1242871.202810, norm of subgrad 1115.425122	dualbound = 3203992.202810, lowerbound=1242871.202810, norm of subgrad 37.774191	 stepsize= 1.000000 
-dualbound = 3204085.891054, lowerbound=1240888.891054, norm of subgrad 1114.521373	dualbound = 3204085.891054, lowerbound=1240888.891054, norm of subgrad 36.914607	 stepsize= 1.000000 
-dualbound = 3204204.007331, lowerbound=1242055.007331, norm of subgrad 1115.046191	dualbound = 3204204.007331, lowerbound=1242055.007331, norm of subgrad 37.297671	 stepsize= 1.000000 
-dualbound = 3204293.276849, lowerbound=1238587.276849, norm of subgrad 1113.491929	dualbound = 3204293.276849, lowerbound=1238587.276849, norm of subgrad 36.963083	 stepsize= 1.000000 
-dualbound = 3204408.761762, lowerbound=1240413.761762, norm of subgrad 1114.328390	dualbound = 3204408.761762, lowerbound=1240413.761762, norm of subgrad 37.808530	 stepsize= 1.000000 
-dualbound = 3204502.947591, lowerbound=1238849.947591, norm of subgrad 1113.669137	dualbound = 3204502.947591, lowerbound=1238849.947591, norm of subgrad 38.770941	 stepsize= 1.000000 
-dualbound = 3204588.232809, lowerbound=1242147.232809, norm of subgrad 1115.127003	dualbound = 3204588.232809, lowerbound=1242147.232809, norm of subgrad 38.030057	 stepsize= 1.000000 
-dualbound = 3204703.216279, lowerbound=1238229.216279, norm of subgrad 1113.353141	dualbound = 3204703.216279, lowerbound=1238229.216279, norm of subgrad 37.960288	 stepsize= 1.000000 
-dualbound = 3204812.954460, lowerbound=1240487.954460, norm of subgrad 1114.408791	dualbound = 3204812.954460, lowerbound=1240487.954460, norm of subgrad 39.099082	 stepsize= 1.000000 
-dualbound = 3204887.578404, lowerbound=1238860.578404, norm of subgrad 1113.661339	dualbound = 3204887.578404, lowerbound=1238860.578404, norm of subgrad 38.152640	 stepsize= 1.000000 
-dualbound = 3205013.867358, lowerbound=1239734.867358, norm of subgrad 1114.026870	dualbound = 3205013.867358, lowerbound=1239734.867358, norm of subgrad 38.043251	 stepsize= 1.000000 
-dualbound = 3205161.497235, lowerbound=1241561.497235, norm of subgrad 1114.836982	dualbound = 3205161.497235, lowerbound=1241561.497235, norm of subgrad 38.047732	 stepsize= 1.000000 
-dualbound = 3205225.806095, lowerbound=1237948.806095, norm of subgrad 1113.230347	dualbound = 3205225.806095, lowerbound=1237948.806095, norm of subgrad 37.380595	 stepsize= 1.000000 
-dualbound = 3205344.559299, lowerbound=1243409.559299, norm of subgrad 1115.696446	dualbound = 3205344.559299, lowerbound=1243409.559299, norm of subgrad 38.571404	 stepsize= 1.000000 
-dualbound = 3205424.806740, lowerbound=1244294.806740, norm of subgrad 1116.080108	dualbound = 3205424.806740, lowerbound=1244294.806740, norm of subgrad 37.686170	 stepsize= 1.000000 
-dualbound = 3205558.087734, lowerbound=1240972.087734, norm of subgrad 1114.576641	dualbound = 3205558.087734, lowerbound=1240972.087734, norm of subgrad 37.977375	 stepsize= 1.000000 
-dualbound = 3205656.258053, lowerbound=1241737.258053, norm of subgrad 1114.912668	dualbound = 3205656.258053, lowerbound=1241737.258053, norm of subgrad 37.298396	 stepsize= 1.000000 
-dualbound = 3205768.291866, lowerbound=1244227.291866, norm of subgrad 1116.029252	dualbound = 3205768.291866, lowerbound=1244227.291866, norm of subgrad 37.497117	 stepsize= 1.000000 
-dualbound = 3205867.825017, lowerbound=1242611.825017, norm of subgrad 1115.328573	dualbound = 3205867.825017, lowerbound=1242611.825017, norm of subgrad 38.020168	 stepsize= 1.000000 
-dualbound = 3205956.775120, lowerbound=1239750.775120, norm of subgrad 1114.053758	dualbound = 3205956.775120, lowerbound=1239750.775120, norm of subgrad 38.130698	 stepsize= 1.000000 
-dualbound = 3206042.051473, lowerbound=1240477.051473, norm of subgrad 1114.392683	dualbound = 3206042.051473, lowerbound=1240477.051473, norm of subgrad 38.461362	 stepsize= 1.000000 
-dualbound = 3206151.083878, lowerbound=1237507.083878, norm of subgrad 1113.012167	dualbound = 3206151.083878, lowerbound=1237507.083878, norm of subgrad 37.390272	 stepsize= 1.000000 
-dualbound = 3206269.378156, lowerbound=1237889.378156, norm of subgrad 1113.215782	dualbound = 3206269.378156, lowerbound=1237889.378156, norm of subgrad 38.448593	 stepsize= 1.000000 
-dualbound = 3206384.753072, lowerbound=1242579.753072, norm of subgrad 1115.268018	dualbound = 3206384.753072, lowerbound=1242579.753072, norm of subgrad 36.856138	 stepsize= 1.000000 
-dualbound = 3206490.591925, lowerbound=1247304.591925, norm of subgrad 1117.407084	dualbound = 3206490.591925, lowerbound=1247304.591925, norm of subgrad 37.414420	 stepsize= 1.000000 
-dualbound = 3206581.217982, lowerbound=1239684.217982, norm of subgrad 1114.007728	dualbound = 3206581.217982, lowerbound=1239684.217982, norm of subgrad 37.677925	 stepsize= 1.000000 
-dualbound = 3206698.614354, lowerbound=1236084.614354, norm of subgrad 1112.390495	dualbound = 3206698.614354, lowerbound=1236084.614354, norm of subgrad 38.018369	 stepsize= 1.000000 
-dualbound = 3206800.834842, lowerbound=1241238.834842, norm of subgrad 1114.703923	dualbound = 3206800.834842, lowerbound=1241238.834842, norm of subgrad 37.791805	 stepsize= 1.000000 
-dualbound = 3206905.821142, lowerbound=1243812.821142, norm of subgrad 1115.867295	dualbound = 3206905.821142, lowerbound=1243812.821142, norm of subgrad 38.104938	 stepsize= 1.000000 
-dualbound = 3206984.319274, lowerbound=1240632.319274, norm of subgrad 1114.439913	dualbound = 3206984.319274, lowerbound=1240632.319274, norm of subgrad 37.716020	 stepsize= 1.000000 
-dualbound = 3207094.381789, lowerbound=1242879.381789, norm of subgrad 1115.428788	dualbound = 3207094.381789, lowerbound=1242879.381789, norm of subgrad 37.577420	 stepsize= 1.000000 
-dualbound = 3207204.149444, lowerbound=1237879.149444, norm of subgrad 1113.192324	dualbound = 3207204.149444, lowerbound=1237879.149444, norm of subgrad 37.785813	 stepsize= 1.000000 
-dualbound = 3207302.929007, lowerbound=1239042.929007, norm of subgrad 1113.711780	dualbound = 3207302.929007, lowerbound=1239042.929007, norm of subgrad 37.547031	 stepsize= 1.000000 
-dualbound = 3207433.052964, lowerbound=1241606.052964, norm of subgrad 1114.864141	dualbound = 3207433.052964, lowerbound=1241606.052964, norm of subgrad 38.027937	 stepsize= 1.000000 
-dualbound = 3207515.702144, lowerbound=1242631.702144, norm of subgrad 1115.313724	dualbound = 3207515.702144, lowerbound=1242631.702144, norm of subgrad 37.089745	 stepsize= 1.000000 
-dualbound = 3207618.750994, lowerbound=1241035.750994, norm of subgrad 1114.616863	dualbound = 3207618.750994, lowerbound=1241035.750994, norm of subgrad 37.921615	 stepsize= 1.000000 
-dualbound = 3207707.944308, lowerbound=1242313.944308, norm of subgrad 1115.194577	dualbound = 3207707.944308, lowerbound=1242313.944308, norm of subgrad 37.870745	 stepsize= 1.000000 
-dualbound = 3207821.672595, lowerbound=1241271.672595, norm of subgrad 1114.746461	dualbound = 3207821.672595, lowerbound=1241271.672595, norm of subgrad 38.752139	 stepsize= 1.000000 
-dualbound = 3207918.185551, lowerbound=1244130.185551, norm of subgrad 1116.011732	dualbound = 3207918.185551, lowerbound=1244130.185551, norm of subgrad 38.059335	 stepsize= 1.000000 
-dualbound = 3208016.130236, lowerbound=1240102.130236, norm of subgrad 1114.250479	dualbound = 3208016.130236, lowerbound=1240102.130236, norm of subgrad 39.369337	 stepsize= 1.000000 
-dualbound = 3208093.625924, lowerbound=1241244.625924, norm of subgrad 1114.755859	dualbound = 3208093.625924, lowerbound=1241244.625924, norm of subgrad 38.903672	 stepsize= 1.000000 
-dualbound = 3208218.739212, lowerbound=1238990.739212, norm of subgrad 1113.700920	dualbound = 3208218.739212, lowerbound=1238990.739212, norm of subgrad 38.263733	 stepsize= 1.000000 
-dualbound = 3208336.460523, lowerbound=1237736.460523, norm of subgrad 1113.136766	dualbound = 3208336.460523, lowerbound=1237736.460523, norm of subgrad 38.140809	 stepsize= 1.000000 
-dualbound = 3208465.048726, lowerbound=1245455.048726, norm of subgrad 1116.598875	dualbound = 3208465.048726, lowerbound=1245455.048726, norm of subgrad 38.296060	 stepsize= 1.000000 
-dualbound = 3208512.634776, lowerbound=1235802.634776, norm of subgrad 1112.298357	dualbound = 3208512.634776, lowerbound=1235802.634776, norm of subgrad 38.112807	 stepsize= 1.000000 
-dualbound = 3208626.909646, lowerbound=1240872.909646, norm of subgrad 1114.536186	dualbound = 3208626.909646, lowerbound=1240872.909646, norm of subgrad 37.845408	 stepsize= 1.000000 
-dualbound = 3208757.393559, lowerbound=1238402.393559, norm of subgrad 1113.431809	dualbound = 3208757.393559, lowerbound=1238402.393559, norm of subgrad 38.190102	 stepsize= 1.000000 
-dualbound = 3208853.999652, lowerbound=1239702.999652, norm of subgrad 1114.039945	dualbound = 3208853.999652, lowerbound=1239702.999652, norm of subgrad 38.452647	 stepsize= 1.000000 
-dualbound = 3208951.629001, lowerbound=1239872.629001, norm of subgrad 1114.090494	dualbound = 3208951.629001, lowerbound=1239872.629001, norm of subgrad 37.717759	 stepsize= 1.000000 
-dualbound = 3209069.766881, lowerbound=1241642.766881, norm of subgrad 1114.897649	dualbound = 3209069.766881, lowerbound=1241642.766881, norm of subgrad 38.368449	 stepsize= 1.000000 
-dualbound = 3209178.507708, lowerbound=1239543.507708, norm of subgrad 1113.938287	dualbound = 3209178.507708, lowerbound=1239543.507708, norm of subgrad 37.732490	 stepsize= 1.000000 
-dualbound = 3209264.251246, lowerbound=1242491.251246, norm of subgrad 1115.259275	dualbound = 3209264.251246, lowerbound=1242491.251246, norm of subgrad 37.386408	 stepsize= 1.000000 
-dualbound = 3209393.153470, lowerbound=1242507.153470, norm of subgrad 1115.269991	dualbound = 3209393.153470, lowerbound=1242507.153470, norm of subgrad 38.064448	 stepsize= 1.000000 
-dualbound = 3209465.369245, lowerbound=1242951.369245, norm of subgrad 1115.484814	dualbound = 3209465.369245, lowerbound=1242951.369245, norm of subgrad 37.778509	 stepsize= 1.000000 
-dualbound = 3209576.539855, lowerbound=1243220.539855, norm of subgrad 1115.607252	dualbound = 3209576.539855, lowerbound=1243220.539855, norm of subgrad 38.342804	 stepsize= 1.000000 
-dualbound = 3209664.785322, lowerbound=1238280.785322, norm of subgrad 1113.381240	dualbound = 3209664.785322, lowerbound=1238280.785322, norm of subgrad 37.752423	 stepsize= 1.000000 
-dualbound = 3209801.582469, lowerbound=1243187.582469, norm of subgrad 1115.549453	dualbound = 3209801.582469, lowerbound=1243187.582469, norm of subgrad 37.413863	 stepsize= 1.000000 
-dualbound = 3209915.067932, lowerbound=1238491.067932, norm of subgrad 1113.460852	dualbound = 3209915.067932, lowerbound=1238491.067932, norm of subgrad 37.649508	 stepsize= 1.000000 
-dualbound = 3209998.524180, lowerbound=1238392.524180, norm of subgrad 1113.440849	dualbound = 3209998.524180, lowerbound=1238392.524180, norm of subgrad 37.966515	 stepsize= 1.000000 
-dualbound = 3210070.934052, lowerbound=1241539.934052, norm of subgrad 1114.884269	dualbound = 3210070.934052, lowerbound=1241539.934052, norm of subgrad 38.722214	 stepsize= 1.000000 
-dualbound = 3210176.526523, lowerbound=1239332.526523, norm of subgrad 1113.844032	dualbound = 3210176.526523, lowerbound=1239332.526523, norm of subgrad 37.704011	 stepsize= 1.000000 
-dualbound = 3210299.554825, lowerbound=1237609.554825, norm of subgrad 1113.054606	dualbound = 3210299.554825, lowerbound=1237609.554825, norm of subgrad 37.470366	 stepsize= 1.000000 
-dualbound = 3210419.689844, lowerbound=1243282.689844, norm of subgrad 1115.626143	dualbound = 3210419.689844, lowerbound=1243282.689844, norm of subgrad 38.198626	 stepsize= 1.000000 
-dualbound = 3210494.896192, lowerbound=1242262.896192, norm of subgrad 1115.158238	dualbound = 3210494.896192, lowerbound=1242262.896192, norm of subgrad 37.285471	 stepsize= 1.000000 
-dualbound = 3210633.585398, lowerbound=1245874.585398, norm of subgrad 1116.770158	dualbound = 3210633.585398, lowerbound=1245874.585398, norm of subgrad 37.943237	 stepsize= 1.000000 
-dualbound = 3210696.231228, lowerbound=1242317.231228, norm of subgrad 1115.228331	dualbound = 3210696.231228, lowerbound=1242317.231228, norm of subgrad 38.466165	 stepsize= 1.000000 
-dualbound = 3210820.153793, lowerbound=1242187.153793, norm of subgrad 1115.110826	dualbound = 3210820.153793, lowerbound=1242187.153793, norm of subgrad 37.535617	 stepsize= 1.000000 
-dualbound = 3210925.116687, lowerbound=1240654.116687, norm of subgrad 1114.466741	dualbound = 3210925.116687, lowerbound=1240654.116687, norm of subgrad 38.561158	 stepsize= 1.000000 
-dualbound = 3211035.898776, lowerbound=1240608.898776, norm of subgrad 1114.419086	dualbound = 3211035.898776, lowerbound=1240608.898776, norm of subgrad 37.838897	 stepsize= 1.000000 
-dualbound = 3211127.273266, lowerbound=1246134.273266, norm of subgrad 1116.891344	dualbound = 3211127.273266, lowerbound=1246134.273266, norm of subgrad 37.461640	 stepsize= 1.000000 
-dualbound = 3211224.586634, lowerbound=1238364.586634, norm of subgrad 1113.444919	dualbound = 3211224.586634, lowerbound=1238364.586634, norm of subgrad 38.630472	 stepsize= 1.000000 
-dualbound = 3211336.126162, lowerbound=1241616.126162, norm of subgrad 1114.889737	dualbound = 3211336.126162, lowerbound=1241616.126162, norm of subgrad 38.399733	 stepsize= 1.000000 
-dualbound = 3211424.681128, lowerbound=1239715.681128, norm of subgrad 1114.039802	dualbound = 3211424.681128, lowerbound=1239715.681128, norm of subgrad 38.177938	 stepsize= 1.000000 
-dualbound = 3211545.495849, lowerbound=1241909.495849, norm of subgrad 1114.996186	dualbound = 3211545.495849, lowerbound=1241909.495849, norm of subgrad 37.786436	 stepsize= 1.000000 
-dualbound = 3211668.464067, lowerbound=1232663.464067, norm of subgrad 1110.847183	dualbound = 3211668.464067, lowerbound=1232663.464067, norm of subgrad 37.960087	 stepsize= 1.000000 
-dualbound = 3211752.885839, lowerbound=1241306.885839, norm of subgrad 1114.733549	dualbound = 3211752.885839, lowerbound=1241306.885839, norm of subgrad 37.528946	 stepsize= 1.000000 
-dualbound = 3211879.249643, lowerbound=1243044.249643, norm of subgrad 1115.517929	dualbound = 3211879.249643, lowerbound=1243044.249643, norm of subgrad 38.240866	 stepsize= 1.000000 
-dualbound = 3211947.816968, lowerbound=1241391.816968, norm of subgrad 1114.793172	dualbound = 3211947.816968, lowerbound=1241391.816968, norm of subgrad 37.954806	 stepsize= 1.000000 
-dualbound = 3212074.902490, lowerbound=1245009.902490, norm of subgrad 1116.385642	dualbound = 3212074.902490, lowerbound=1245009.902490, norm of subgrad 37.869322	 stepsize= 1.000000 
-dualbound = 3212165.348756, lowerbound=1243608.348756, norm of subgrad 1115.730410	dualbound = 3212165.348756, lowerbound=1243608.348756, norm of subgrad 36.557438	 stepsize= 1.000000 
-dualbound = 3212316.090466, lowerbound=1241867.090466, norm of subgrad 1114.956094	dualbound = 3212316.090466, lowerbound=1241867.090466, norm of subgrad 37.559842	 stepsize= 1.000000 
-dualbound = 3212388.910111, lowerbound=1238628.910111, norm of subgrad 1113.545648	dualbound = 3212388.910111, lowerbound=1238628.910111, norm of subgrad 37.786501	 stepsize= 1.000000 
-dualbound = 3212472.110075, lowerbound=1243740.110075, norm of subgrad 1115.816342	dualbound = 3212472.110075, lowerbound=1243740.110075, norm of subgrad 37.271973	 stepsize= 1.000000 
-dualbound = 3212583.493818, lowerbound=1242825.493818, norm of subgrad 1115.395219	dualbound = 3212583.493818, lowerbound=1242825.493818, norm of subgrad 37.314659	 stepsize= 1.000000 
-dualbound = 3212705.497348, lowerbound=1239117.497348, norm of subgrad 1113.761867	dualbound = 3212705.497348, lowerbound=1239117.497348, norm of subgrad 38.340625	 stepsize= 1.000000 
-dualbound = 3212784.749807, lowerbound=1245348.749807, norm of subgrad 1116.544558	dualbound = 3212784.749807, lowerbound=1245348.749807, norm of subgrad 37.446662	 stepsize= 1.000000 
-dualbound = 3212908.487275, lowerbound=1239241.487275, norm of subgrad 1113.786554	dualbound = 3212908.487275, lowerbound=1239241.487275, norm of subgrad 37.453137	 stepsize= 1.000000 
-dualbound = 3213005.171519, lowerbound=1244281.171519, norm of subgrad 1116.068623	dualbound = 3213005.171519, lowerbound=1244281.171519, norm of subgrad 37.744990	 stepsize= 1.000000 
-dualbound = 3213099.838461, lowerbound=1240361.838461, norm of subgrad 1114.318553	dualbound = 3213099.838461, lowerbound=1240361.838461, norm of subgrad 37.929763	 stepsize= 1.000000 
-dualbound = 3213199.268332, lowerbound=1239120.268332, norm of subgrad 1113.753684	dualbound = 3213199.268332, lowerbound=1239120.268332, norm of subgrad 37.768107	 stepsize= 1.000000 
-dualbound = 3213329.435934, lowerbound=1242927.435934, norm of subgrad 1115.463776	dualbound = 3213329.435934, lowerbound=1242927.435934, norm of subgrad 38.238300	 stepsize= 1.000000 
-dualbound = 3213403.177591, lowerbound=1241228.177591, norm of subgrad 1114.722915	dualbound = 3213403.177591, lowerbound=1241228.177591, norm of subgrad 38.114848	 stepsize= 1.000000 
-dualbound = 3213520.452883, lowerbound=1236078.452883, norm of subgrad 1112.391771	dualbound = 3213520.452883, lowerbound=1236078.452883, norm of subgrad 38.134962	 stepsize= 1.000000 
-dualbound = 3213619.708617, lowerbound=1242260.708617, norm of subgrad 1115.178330	dualbound = 3213619.708617, lowerbound=1242260.708617, norm of subgrad 38.226375	 stepsize= 1.000000 
-dualbound = 3213731.396794, lowerbound=1241520.396794, norm of subgrad 1114.841871	dualbound = 3213731.396794, lowerbound=1241520.396794, norm of subgrad 38.258178	 stepsize= 1.000000 
-dualbound = 3213826.204255, lowerbound=1241577.204255, norm of subgrad 1114.861518	dualbound = 3213826.204255, lowerbound=1241577.204255, norm of subgrad 37.865650	 stepsize= 1.000000 
-dualbound = 3213925.244842, lowerbound=1245952.244842, norm of subgrad 1116.827312	dualbound = 3213925.244842, lowerbound=1245952.244842, norm of subgrad 38.079398	 stepsize= 1.000000 
-dualbound = 3214031.657384, lowerbound=1240590.657384, norm of subgrad 1114.421669	dualbound = 3214031.657384, lowerbound=1240590.657384, norm of subgrad 38.097409	 stepsize= 1.000000 
-dualbound = 3214159.470291, lowerbound=1241667.470291, norm of subgrad 1114.866122	dualbound = 3214159.470291, lowerbound=1241667.470291, norm of subgrad 37.239937	 stepsize= 1.000000 
-dualbound = 3214253.915827, lowerbound=1241892.915827, norm of subgrad 1115.005792	dualbound = 3214253.915827, lowerbound=1241892.915827, norm of subgrad 37.940026	 stepsize= 1.000000 
-dualbound = 3214329.151106, lowerbound=1239914.151106, norm of subgrad 1114.099256	dualbound = 3214329.151106, lowerbound=1239914.151106, norm of subgrad 37.124591	 stepsize= 1.000000 
-dualbound = 3214438.782210, lowerbound=1243128.782210, norm of subgrad 1115.556266	dualbound = 3214438.782210, lowerbound=1243128.782210, norm of subgrad 38.034604	 stepsize= 1.000000 
-dualbound = 3214557.829827, lowerbound=1240098.829827, norm of subgrad 1114.157004	dualbound = 3214557.829827, lowerbound=1240098.829827, norm of subgrad 36.960081	 stepsize= 1.000000 
-dualbound = 3214663.522677, lowerbound=1243207.522677, norm of subgrad 1115.577215	dualbound = 3214663.522677, lowerbound=1243207.522677, norm of subgrad 37.559191	 stepsize= 1.000000 
-dualbound = 3214758.463081, lowerbound=1244036.463081, norm of subgrad 1115.950027	dualbound = 3214758.463081, lowerbound=1244036.463081, norm of subgrad 37.455846	 stepsize= 1.000000 
-dualbound = 3214864.209113, lowerbound=1241843.209113, norm of subgrad 1114.970049	dualbound = 3214864.209113, lowerbound=1241843.209113, norm of subgrad 37.692785	 stepsize= 1.000000 
-dualbound = 3214979.324030, lowerbound=1241299.324030, norm of subgrad 1114.714907	dualbound = 3214979.324030, lowerbound=1241299.324030, norm of subgrad 37.484863	 stepsize= 1.000000 
-dualbound = 3215074.666712, lowerbound=1241166.666712, norm of subgrad 1114.686354	dualbound = 3215074.666712, lowerbound=1241166.666712, norm of subgrad 38.135845	 stepsize= 1.000000 
-dualbound = 3215154.694324, lowerbound=1240894.694324, norm of subgrad 1114.577361	dualbound = 3215154.694324, lowerbound=1240894.694324, norm of subgrad 38.314848	 stepsize= 1.000000 
-dualbound = 3215266.106153, lowerbound=1240282.106153, norm of subgrad 1114.281430	dualbound = 3215266.106153, lowerbound=1240282.106153, norm of subgrad 38.110521	 stepsize= 1.000000 
-dualbound = 3215369.223551, lowerbound=1240928.223551, norm of subgrad 1114.582533	dualbound = 3215369.223551, lowerbound=1240928.223551, norm of subgrad 38.329067	 stepsize= 1.000000 
-dualbound = 3215470.849714, lowerbound=1240155.849714, norm of subgrad 1114.200094	dualbound = 3215470.849714, lowerbound=1240155.849714, norm of subgrad 37.250855	 stepsize= 1.000000 
-dualbound = 3215618.627995, lowerbound=1241879.627995, norm of subgrad 1114.951850	dualbound = 3215618.627995, lowerbound=1241879.627995, norm of subgrad 37.226043	 stepsize= 1.000000 
-dualbound = 3215701.138654, lowerbound=1244167.138654, norm of subgrad 1116.035008	dualbound = 3215701.138654, lowerbound=1244167.138654, norm of subgrad 38.072440	 stepsize= 1.000000 
-dualbound = 3215785.778230, lowerbound=1244736.778230, norm of subgrad 1116.254800	dualbound = 3215785.778230, lowerbound=1244736.778230, norm of subgrad 37.049151	 stepsize= 1.000000 
-dualbound = 3215896.070753, lowerbound=1239521.070753, norm of subgrad 1113.919688	dualbound = 3215896.070753, lowerbound=1239521.070753, norm of subgrad 37.500567	 stepsize= 1.000000 
-dualbound = 3216003.632583, lowerbound=1234808.632583, norm of subgrad 1111.800177	dualbound = 3216003.632583, lowerbound=1234808.632583, norm of subgrad 37.397351	 stepsize= 1.000000 
-dualbound = 3216117.524595, lowerbound=1247998.524595, norm of subgrad 1117.723814	dualbound = 3216117.524595, lowerbound=1247998.524595, norm of subgrad 37.707983	 stepsize= 1.000000 
-dualbound = 3216205.252502, lowerbound=1238771.252502, norm of subgrad 1113.596090	dualbound = 3216205.252502, lowerbound=1238771.252502, norm of subgrad 37.586273	 stepsize= 1.000000 
-dualbound = 3216288.683037, lowerbound=1242418.683037, norm of subgrad 1115.250054	dualbound = 3216288.683037, lowerbound=1242418.683037, norm of subgrad 38.045112	 stepsize= 1.000000 
-dualbound = 3216391.498369, lowerbound=1238431.498369, norm of subgrad 1113.474965	dualbound = 3216391.498369, lowerbound=1238431.498369, norm of subgrad 38.701619	 stepsize= 1.000000 
-dualbound = 3216499.386999, lowerbound=1246317.386999, norm of subgrad 1116.974658	dualbound = 3216499.386999, lowerbound=1246317.386999, norm of subgrad 37.721196	 stepsize= 1.000000 
-dualbound = 3216627.104550, lowerbound=1235137.104550, norm of subgrad 1111.956881	dualbound = 3216627.104550, lowerbound=1235137.104550, norm of subgrad 37.930430	 stepsize= 1.000000 
-dualbound = 3216722.394653, lowerbound=1245865.394653, norm of subgrad 1116.786638	dualbound = 3216722.394653, lowerbound=1245865.394653, norm of subgrad 37.977495	 stepsize= 1.000000 
-dualbound = 3216837.508825, lowerbound=1244066.508825, norm of subgrad 1115.947807	dualbound = 3216837.508825, lowerbound=1244066.508825, norm of subgrad 37.257404	 stepsize= 1.000000 
-dualbound = 3216911.431221, lowerbound=1240438.431221, norm of subgrad 1114.363689	dualbound = 3216911.431221, lowerbound=1240438.431221, norm of subgrad 37.972653	 stepsize= 1.000000 
-dualbound = 3217031.019259, lowerbound=1241350.019259, norm of subgrad 1114.805373	dualbound = 3217031.019259, lowerbound=1241350.019259, norm of subgrad 39.504279	 stepsize= 1.000000 
-dualbound = 3217115.038576, lowerbound=1235416.038576, norm of subgrad 1112.073306	dualbound = 3217115.038576, lowerbound=1235416.038576, norm of subgrad 37.081253	 stepsize= 1.000000 
-dualbound = 3217269.084273, lowerbound=1239125.084273, norm of subgrad 1113.741031	dualbound = 3217269.084273, lowerbound=1239125.084273, norm of subgrad 38.053196	 stepsize= 1.000000 
-dualbound = 3217343.838812, lowerbound=1242761.838812, norm of subgrad 1115.419580	dualbound = 3217343.838812, lowerbound=1242761.838812, norm of subgrad 38.389511	 stepsize= 1.000000 
-dualbound = 3217430.674241, lowerbound=1237785.674241, norm of subgrad 1113.151685	dualbound = 3217430.674241, lowerbound=1237785.674241, norm of subgrad 37.521133	 stepsize= 1.000000 
-dualbound = 3217556.656774, lowerbound=1245150.656774, norm of subgrad 1116.470625	dualbound = 3217556.656774, lowerbound=1245150.656774, norm of subgrad 38.496526	 stepsize= 1.000000 
-dualbound = 3217649.047238, lowerbound=1245072.047238, norm of subgrad 1116.422880	dualbound = 3217649.047238, lowerbound=1245072.047238, norm of subgrad 37.688068	 stepsize= 1.000000 
-dualbound = 3217770.597072, lowerbound=1243763.597072, norm of subgrad 1115.834933	dualbound = 3217770.597072, lowerbound=1243763.597072, norm of subgrad 38.020387	 stepsize= 1.000000 
-dualbound = 3217859.676571, lowerbound=1242258.676571, norm of subgrad 1115.150966	dualbound = 3217859.676571, lowerbound=1242258.676571, norm of subgrad 37.310582	 stepsize= 1.000000 
-dualbound = 3217966.061725, lowerbound=1240093.061725, norm of subgrad 1114.179995	dualbound = 3217966.061725, lowerbound=1240093.061725, norm of subgrad 37.555095	 stepsize= 1.000000 
-dualbound = 3218069.187697, lowerbound=1246660.187697, norm of subgrad 1117.129888	dualbound = 3218069.187697, lowerbound=1246660.187697, norm of subgrad 37.711086	 stepsize= 1.000000 
-dualbound = 3218177.516084, lowerbound=1238135.516084, norm of subgrad 1113.292197	dualbound = 3218177.516084, lowerbound=1238135.516084, norm of subgrad 37.313917	 stepsize= 1.000000 
-dualbound = 3218289.588088, lowerbound=1242224.588088, norm of subgrad 1115.160790	dualbound = 3218289.588088, lowerbound=1242224.588088, norm of subgrad 38.354557	 stepsize= 1.000000 
-dualbound = 3218368.334768, lowerbound=1241997.334768, norm of subgrad 1115.058893	dualbound = 3218368.334768, lowerbound=1241997.334768, norm of subgrad 37.917630	 stepsize= 1.000000 
-dualbound = 3218480.744943, lowerbound=1245436.744943, norm of subgrad 1116.579037	dualbound = 3218480.744943, lowerbound=1245436.744943, norm of subgrad 37.741359	 stepsize= 1.000000 
-dualbound = 3218585.309318, lowerbound=1243885.309318, norm of subgrad 1115.887230	dualbound = 3218585.309318, lowerbound=1243885.309318, norm of subgrad 37.730152	 stepsize= 1.000000 
-dualbound = 3218699.606994, lowerbound=1238146.606994, norm of subgrad 1113.291340	dualbound = 3218699.606994, lowerbound=1238146.606994, norm of subgrad 37.219587	 stepsize= 1.000000 
-dualbound = 3218802.756995, lowerbound=1240987.756995, norm of subgrad 1114.575146	dualbound = 3218802.756995, lowerbound=1240987.756995, norm of subgrad 37.324925	 stepsize= 1.000000 
-dualbound = 3218900.238397, lowerbound=1239621.238397, norm of subgrad 1113.956569	dualbound = 3218900.238397, lowerbound=1239621.238397, norm of subgrad 37.087483	 stepsize= 1.000000 
-dualbound = 3218996.026723, lowerbound=1245622.026723, norm of subgrad 1116.681256	dualbound = 3218996.026723, lowerbound=1245622.026723, norm of subgrad 38.089215	 stepsize= 1.000000 
-dualbound = 3219091.177579, lowerbound=1243442.177579, norm of subgrad 1115.699412	dualbound = 3219091.177579, lowerbound=1243442.177579, norm of subgrad 37.922959	 stepsize= 1.000000 
-dualbound = 3219197.058720, lowerbound=1238757.058720, norm of subgrad 1113.624290	dualbound = 3219197.058720, lowerbound=1238757.058720, norm of subgrad 38.831445	 stepsize= 1.000000 
-dualbound = 3219286.750550, lowerbound=1243592.750550, norm of subgrad 1115.770474	dualbound = 3219286.750550, lowerbound=1243592.750550, norm of subgrad 37.956446	 stepsize= 1.000000 
-dualbound = 3219390.639036, lowerbound=1237724.639036, norm of subgrad 1113.120227	dualbound = 3219390.639036, lowerbound=1237724.639036, norm of subgrad 37.628294	 stepsize= 1.000000 
-dualbound = 3219520.042822, lowerbound=1246514.042822, norm of subgrad 1117.065818	dualbound = 3219520.042822, lowerbound=1246514.042822, norm of subgrad 38.097294	 stepsize= 1.000000 
-dualbound = 3219613.779901, lowerbound=1239826.779901, norm of subgrad 1114.075751	dualbound = 3219613.779901, lowerbound=1239826.779901, norm of subgrad 37.838302	 stepsize= 1.000000 
-dualbound = 3219705.718210, lowerbound=1242759.718210, norm of subgrad 1115.416388	dualbound = 3219705.718210, lowerbound=1242759.718210, norm of subgrad 38.547870	 stepsize= 1.000000 
-dualbound = 3219798.641749, lowerbound=1238314.641749, norm of subgrad 1113.426981	dualbound = 3219798.641749, lowerbound=1238314.641749, norm of subgrad 38.703017	 stepsize= 1.000000 
-dualbound = 3219914.022055, lowerbound=1244369.022055, norm of subgrad 1116.099020	dualbound = 3219914.022055, lowerbound=1244369.022055, norm of subgrad 37.727713	 stepsize= 1.000000 
-dualbound = 3220014.086723, lowerbound=1240351.086723, norm of subgrad 1114.324947	dualbound = 3220014.086723, lowerbound=1240351.086723, norm of subgrad 38.328379	 stepsize= 1.000000 
-dualbound = 3220115.430559, lowerbound=1239794.430559, norm of subgrad 1114.038343	dualbound = 3220115.430559, lowerbound=1239794.430559, norm of subgrad 37.260486	 stepsize= 1.000000 
-dualbound = 3220249.580586, lowerbound=1243846.580586, norm of subgrad 1115.862259	dualbound = 3220249.580586, lowerbound=1243846.580586, norm of subgrad 37.896570	 stepsize= 1.000000 
-dualbound = 3220345.574832, lowerbound=1243894.574832, norm of subgrad 1115.890037	dualbound = 3220345.574832, lowerbound=1243894.574832, norm of subgrad 37.576512	 stepsize= 1.000000 
-dualbound = 3220423.202924, lowerbound=1240792.202924, norm of subgrad 1114.496390	dualbound = 3220423.202924, lowerbound=1240792.202924, norm of subgrad 37.250880	 stepsize= 1.000000 
-dualbound = 3220549.958055, lowerbound=1241396.958055, norm of subgrad 1114.754214	dualbound = 3220549.958055, lowerbound=1241396.958055, norm of subgrad 37.506734	 stepsize= 1.000000 
-dualbound = 3220668.916149, lowerbound=1246532.916149, norm of subgrad 1117.071133	dualbound = 3220668.916149, lowerbound=1246532.916149, norm of subgrad 37.867639	 stepsize= 1.000000 
-dualbound = 3220742.364142, lowerbound=1237921.364142, norm of subgrad 1113.213530	dualbound = 3220742.364142, lowerbound=1237921.364142, norm of subgrad 37.369078	 stepsize= 1.000000 
-dualbound = 3220865.064848, lowerbound=1250419.064848, norm of subgrad 1118.827540	dualbound = 3220865.064848, lowerbound=1250419.064848, norm of subgrad 38.453878	 stepsize= 1.000000 
-dualbound = 3220950.323512, lowerbound=1238086.323512, norm of subgrad 1113.293907	dualbound = 3220950.323512, lowerbound=1238086.323512, norm of subgrad 37.712845	 stepsize= 1.000000 
-dualbound = 3221052.043344, lowerbound=1243867.043344, norm of subgrad 1115.902793	dualbound = 3221052.043344, lowerbound=1243867.043344, norm of subgrad 38.389059	 stepsize= 1.000000 
-dualbound = 3221149.279658, lowerbound=1238111.279658, norm of subgrad 1113.304217	dualbound = 3221149.279658, lowerbound=1238111.279658, norm of subgrad 37.844898	 stepsize= 1.000000 
-dualbound = 3221277.875227, lowerbound=1245260.875227, norm of subgrad 1116.524015	dualbound = 3221277.875227, lowerbound=1245260.875227, norm of subgrad 38.647064	 stepsize= 1.000000 
-dualbound = 3221357.695687, lowerbound=1238341.695687, norm of subgrad 1113.400959	dualbound = 3221357.695687, lowerbound=1238341.695687, norm of subgrad 37.414175	 stepsize= 1.000000 
-dualbound = 3221465.567787, lowerbound=1240593.567787, norm of subgrad 1114.408618	dualbound = 3221465.567787, lowerbound=1240593.567787, norm of subgrad 37.694457	 stepsize= 1.000000 
-dualbound = 3221571.092433, lowerbound=1243304.092433, norm of subgrad 1115.631253	dualbound = 3221571.092433, lowerbound=1243304.092433, norm of subgrad 37.875119	 stepsize= 1.000000 
-dualbound = 3221673.576019, lowerbound=1244403.576019, norm of subgrad 1116.117187	dualbound = 3221673.576019, lowerbound=1244403.576019, norm of subgrad 37.636200	 stepsize= 1.000000 
-dualbound = 3221786.512814, lowerbound=1235636.512814, norm of subgrad 1112.176925	dualbound = 3221786.512814, lowerbound=1235636.512814, norm of subgrad 37.602351	 stepsize= 1.000000 
-dualbound = 3221881.890274, lowerbound=1246833.890274, norm of subgrad 1117.221952	dualbound = 3221881.890274, lowerbound=1246833.890274, norm of subgrad 38.031270	 stepsize= 1.000000 
-dualbound = 3221971.750088, lowerbound=1242165.750088, norm of subgrad 1115.126338	dualbound = 3221971.750088, lowerbound=1242165.750088, norm of subgrad 37.826708	 stepsize= 1.000000 
-dualbound = 3222061.028574, lowerbound=1242721.028574, norm of subgrad 1115.396803	dualbound = 3222061.028574, lowerbound=1242721.028574, norm of subgrad 38.448387	 stepsize= 1.000000 
-dualbound = 3222177.403226, lowerbound=1244700.403226, norm of subgrad 1116.279715	dualbound = 3222177.403226, lowerbound=1244700.403226, norm of subgrad 38.683002	 stepsize= 1.000000 
-dualbound = 3222275.751229, lowerbound=1242204.751229, norm of subgrad 1115.162657	dualbound = 3222275.751229, lowerbound=1242204.751229, norm of subgrad 38.488284	 stepsize= 1.000000 
-dualbound = 3222371.775634, lowerbound=1241890.775634, norm of subgrad 1115.016940	dualbound = 3222371.775634, lowerbound=1241890.775634, norm of subgrad 38.314807	 stepsize= 1.000000 
-dualbound = 3222480.738268, lowerbound=1240275.738268, norm of subgrad 1114.279919	dualbound = 3222480.738268, lowerbound=1240275.738268, norm of subgrad 38.117747	 stepsize= 1.000000 
-dualbound = 3222598.672618, lowerbound=1242817.672618, norm of subgrad 1115.411436	dualbound = 3222598.672618, lowerbound=1242817.672618, norm of subgrad 37.985976	 stepsize= 1.000000 
-dualbound = 3222679.395888, lowerbound=1239662.395888, norm of subgrad 1114.033391	dualbound = 3222679.395888, lowerbound=1239662.395888, norm of subgrad 38.583977	 stepsize= 1.000000 
-dualbound = 3222788.943492, lowerbound=1245175.943492, norm of subgrad 1116.444779	dualbound = 3222788.943492, lowerbound=1245175.943492, norm of subgrad 37.182625	 stepsize= 1.000000 
-dualbound = 3222917.943859, lowerbound=1243572.943859, norm of subgrad 1115.745466	dualbound = 3222917.943859, lowerbound=1243572.943859, norm of subgrad 38.000005	 stepsize= 1.000000 
-dualbound = 3222987.681187, lowerbound=1246859.681187, norm of subgrad 1117.229914	dualbound = 3222987.681187, lowerbound=1246859.681187, norm of subgrad 37.586398	 stepsize= 1.000000 
-dualbound = 3223099.173519, lowerbound=1242778.173519, norm of subgrad 1115.379385	dualbound = 3223099.173519, lowerbound=1242778.173519, norm of subgrad 37.476557	 stepsize= 1.000000 
-dualbound = 3223208.271028, lowerbound=1247443.271028, norm of subgrad 1117.491956	dualbound = 3223208.271028, lowerbound=1247443.271028, norm of subgrad 38.132630	 stepsize= 1.000000 
-dualbound = 3223293.757999, lowerbound=1231038.757999, norm of subgrad 1110.117903	dualbound = 3223293.757999, lowerbound=1231038.757999, norm of subgrad 37.529814	 stepsize= 1.000000 
-dualbound = 3223413.799746, lowerbound=1244544.799746, norm of subgrad 1116.171492	dualbound = 3223413.799746, lowerbound=1244544.799746, norm of subgrad 37.603746	 stepsize= 1.000000 
-dualbound = 3223509.238705, lowerbound=1240697.238705, norm of subgrad 1114.483844	dualbound = 3223509.238705, lowerbound=1240697.238705, norm of subgrad 38.372372	 stepsize= 1.000000 
-dualbound = 3223611.919655, lowerbound=1247669.919655, norm of subgrad 1117.576807	dualbound = 3223611.919655, lowerbound=1247669.919655, norm of subgrad 37.559033	 stepsize= 1.000000 
-dualbound = 3223727.728327, lowerbound=1244371.728327, norm of subgrad 1116.085896	dualbound = 3223727.728327, lowerbound=1244371.728327, norm of subgrad 37.306952	 stepsize= 1.000000 
-dualbound = 3223838.462102, lowerbound=1242885.462102, norm of subgrad 1115.410894	dualbound = 3223838.462102, lowerbound=1242885.462102, norm of subgrad 36.969363	 stepsize= 1.000000 
-dualbound = 3223927.130305, lowerbound=1240722.130305, norm of subgrad 1114.455531	dualbound = 3223927.130305, lowerbound=1240722.130305, norm of subgrad 37.116953	 stepsize= 1.000000 
-dualbound = 3224032.017802, lowerbound=1241969.017802, norm of subgrad 1115.041263	dualbound = 3224032.017802, lowerbound=1241969.017802, norm of subgrad 38.116761	 stepsize= 1.000000 
-dualbound = 3224119.030125, lowerbound=1240245.030125, norm of subgrad 1114.271076	dualbound = 3224119.030125, lowerbound=1240245.030125, norm of subgrad 37.973837	 stepsize= 1.000000 
-dualbound = 3224243.709468, lowerbound=1245997.709468, norm of subgrad 1116.806478	dualbound = 3224243.709468, lowerbound=1245997.709468, norm of subgrad 37.197841	 stepsize= 1.000000 
-dualbound = 3224356.273654, lowerbound=1240504.273654, norm of subgrad 1114.369451	dualbound = 3224356.273654, lowerbound=1240504.273654, norm of subgrad 37.783120	 stepsize= 1.000000 
-dualbound = 3224439.156081, lowerbound=1243746.156081, norm of subgrad 1115.823085	dualbound = 3224439.156081, lowerbound=1243746.156081, norm of subgrad 37.388266	 stepsize= 1.000000 
-dualbound = 3224521.780336, lowerbound=1239607.780336, norm of subgrad 1113.951875	dualbound = 3224521.780336, lowerbound=1239607.780336, norm of subgrad 36.927283	 stepsize= 1.000000 
-dualbound = 3224650.376102, lowerbound=1248516.376102, norm of subgrad 1117.964389	dualbound = 3224650.376102, lowerbound=1248516.376102, norm of subgrad 38.165374	 stepsize= 1.000000 
-dualbound = 3224714.647525, lowerbound=1242564.647525, norm of subgrad 1115.324907	dualbound = 3224714.647525, lowerbound=1242564.647525, norm of subgrad 38.069298	 stepsize= 1.000000 
-dualbound = 3224832.668916, lowerbound=1246132.668916, norm of subgrad 1116.887939	dualbound = 3224832.668916, lowerbound=1246132.668916, norm of subgrad 37.736208	 stepsize= 1.000000 
-dualbound = 3224926.863125, lowerbound=1242784.863125, norm of subgrad 1115.389108	dualbound = 3224926.863125, lowerbound=1242784.863125, norm of subgrad 37.445884	 stepsize= 1.000000 
-dualbound = 3225042.031276, lowerbound=1243300.031276, norm of subgrad 1115.632122	dualbound = 3225042.031276, lowerbound=1243300.031276, norm of subgrad 38.081073	 stepsize= 1.000000 
-dualbound = 3225133.791373, lowerbound=1238421.791373, norm of subgrad 1113.441867	dualbound = 3225133.791373, lowerbound=1238421.791373, norm of subgrad 37.719492	 stepsize= 1.000000 
-dualbound = 3225256.921654, lowerbound=1249491.921654, norm of subgrad 1118.405079	dualbound = 3225256.921654, lowerbound=1249491.921654, norm of subgrad 38.224734	 stepsize= 1.000000 
-dualbound = 3225349.921711, lowerbound=1238060.921711, norm of subgrad 1113.253305	dualbound = 3225349.921711, lowerbound=1238060.921711, norm of subgrad 36.945907	 stepsize= 1.000000 
-dualbound = 3225466.495344, lowerbound=1247185.495344, norm of subgrad 1117.374823	dualbound = 3225466.495344, lowerbound=1247185.495344, norm of subgrad 38.178183	 stepsize= 1.000000 
-dualbound = 3225549.214510, lowerbound=1235340.214510, norm of subgrad 1112.058099	dualbound = 3225549.214510, lowerbound=1235340.214510, norm of subgrad 37.626044	 stepsize= 1.000000 
-dualbound = 3225645.063928, lowerbound=1241260.063928, norm of subgrad 1114.715687	dualbound = 3225645.063928, lowerbound=1241260.063928, norm of subgrad 37.773660	 stepsize= 1.000000 
-dualbound = 3225748.324561, lowerbound=1247469.324561, norm of subgrad 1117.525536	dualbound = 3225748.324561, lowerbound=1247469.324561, norm of subgrad 38.694452	 stepsize= 1.000000 
-dualbound = 3225839.118577, lowerbound=1244631.118577, norm of subgrad 1116.213742	dualbound = 3225839.118577, lowerbound=1244631.118577, norm of subgrad 37.320156	 stepsize= 1.000000 
-dualbound = 3225978.211954, lowerbound=1239211.211954, norm of subgrad 1113.802142	dualbound = 3225978.211954, lowerbound=1239211.211954, norm of subgrad 38.510951	 stepsize= 1.000000 
-dualbound = 3226056.096379, lowerbound=1241236.096379, norm of subgrad 1114.695069	dualbound = 3226056.096379, lowerbound=1241236.096379, norm of subgrad 37.240897	 stepsize= 1.000000 
-dualbound = 3226178.186859, lowerbound=1245768.186859, norm of subgrad 1116.731923	dualbound = 3226178.186859, lowerbound=1245768.186859, norm of subgrad 38.001191	 stepsize= 1.000000 
-dualbound = 3226256.623587, lowerbound=1247916.623587, norm of subgrad 1117.676440	dualbound = 3226256.623587, lowerbound=1247916.623587, norm of subgrad 36.911201	 stepsize= 1.000000 
-dualbound = 3226381.950886, lowerbound=1241704.950886, norm of subgrad 1114.902664	dualbound = 3226381.950886, lowerbound=1241704.950886, norm of subgrad 37.793218	 stepsize= 1.000000 
-dualbound = 3226472.076164, lowerbound=1244370.076164, norm of subgrad 1116.103972	dualbound = 3226472.076164, lowerbound=1244370.076164, norm of subgrad 37.524995	 stepsize= 1.000000 
-dualbound = 3226547.318517, lowerbound=1240641.318517, norm of subgrad 1114.460999	dualbound = 3226547.318517, lowerbound=1240641.318517, norm of subgrad 38.173844	 stepsize= 1.000000 
-dualbound = 3226658.908576, lowerbound=1244306.908576, norm of subgrad 1116.051929	dualbound = 3226658.908576, lowerbound=1244306.908576, norm of subgrad 37.102427	 stepsize= 1.000000 
-dualbound = 3226795.504388, lowerbound=1241082.504388, norm of subgrad 1114.627518	dualbound = 3226795.504388, lowerbound=1241082.504388, norm of subgrad 38.060423	 stepsize= 1.000000 
-dualbound = 3226870.935913, lowerbound=1242526.935913, norm of subgrad 1115.262721	dualbound = 3226870.935913, lowerbound=1242526.935913, norm of subgrad 36.870470	 stepsize= 1.000000 
-dualbound = 3226982.406399, lowerbound=1241722.406399, norm of subgrad 1114.900626	dualbound = 3226982.406399, lowerbound=1241722.406399, norm of subgrad 37.315821	 stepsize= 1.000000 
-dualbound = 3227089.063689, lowerbound=1244027.063689, norm of subgrad 1115.973146	dualbound = 3227089.063689, lowerbound=1244027.063689, norm of subgrad 38.414285	 stepsize= 1.000000 
-dualbound = 3227157.673308, lowerbound=1238748.673308, norm of subgrad 1113.581911	dualbound = 3227157.673308, lowerbound=1238748.673308, norm of subgrad 37.210343	 stepsize= 1.000000 
-dualbound = 3227288.897529, lowerbound=1245759.897529, norm of subgrad 1116.725972	dualbound = 3227288.897529, lowerbound=1245759.897529, norm of subgrad 38.055541	 stepsize= 1.000000 
-dualbound = 3227402.416359, lowerbound=1241839.416359, norm of subgrad 1114.944580	dualbound = 3227402.416359, lowerbound=1241839.416359, norm of subgrad 37.087988	 stepsize= 1.000000 
-dualbound = 3227497.627362, lowerbound=1242513.627362, norm of subgrad 1115.254961	dualbound = 3227497.627362, lowerbound=1242513.627362, norm of subgrad 37.083837	 stepsize= 1.000000 
-dualbound = 3227586.496281, lowerbound=1243378.496281, norm of subgrad 1115.672665	dualbound = 3227586.496281, lowerbound=1243378.496281, norm of subgrad 37.892861	 stepsize= 1.000000 
-dualbound = 3227652.582249, lowerbound=1247455.582249, norm of subgrad 1117.497912	dualbound = 3227652.582249, lowerbound=1247455.582249, norm of subgrad 37.577732	 stepsize= 1.000000 
-dualbound = 3227776.571161, lowerbound=1242552.571161, norm of subgrad 1115.321286	dualbound = 3227776.571161, lowerbound=1242552.571161, norm of subgrad 38.897158	 stepsize= 1.000000 
-dualbound = 3227858.846434, lowerbound=1245566.846434, norm of subgrad 1116.609532	dualbound = 3227858.846434, lowerbound=1245566.846434, norm of subgrad 36.500346	 stepsize= 1.000000 
-dualbound = 3227979.879653, lowerbound=1239945.879653, norm of subgrad 1114.131446	dualbound = 3227979.879653, lowerbound=1239945.879653, norm of subgrad 38.262687	 stepsize= 1.000000 
-dualbound = 3228074.269156, lowerbound=1242777.269156, norm of subgrad 1115.393325	dualbound = 3228074.269156, lowerbound=1242777.269156, norm of subgrad 37.674786	 stepsize= 1.000000 
-dualbound = 3228186.904650, lowerbound=1243586.904650, norm of subgrad 1115.772784	dualbound = 3228186.904650, lowerbound=1243586.904650, norm of subgrad 38.400983	 stepsize= 1.000000 
-dualbound = 3228272.799852, lowerbound=1244209.799852, norm of subgrad 1116.076969	dualbound = 3228272.799852, lowerbound=1244209.799852, norm of subgrad 38.780088	 stepsize= 1.000000 
-dualbound = 3228373.435397, lowerbound=1242696.435397, norm of subgrad 1115.366951	dualbound = 3228373.435397, lowerbound=1242696.435397, norm of subgrad 38.047806	 stepsize= 1.000000 
-dualbound = 3228505.865718, lowerbound=1247619.865717, norm of subgrad 1117.574993	dualbound = 3228505.865718, lowerbound=1247619.865717, norm of subgrad 38.554252	 stepsize= 1.000000 
-dualbound = 3228587.511896, lowerbound=1239329.511896, norm of subgrad 1113.844474	dualbound = 3228587.511896, lowerbound=1239329.511896, norm of subgrad 37.438565	 stepsize= 1.000000 
-dualbound = 3228697.543770, lowerbound=1242425.543770, norm of subgrad 1115.250888	dualbound = 3228697.543770, lowerbound=1242425.543770, norm of subgrad 38.327952	 stepsize= 1.000000 
-dualbound = 3228800.615804, lowerbound=1243907.615804, norm of subgrad 1115.905290	dualbound = 3228800.615804, lowerbound=1243907.615804, norm of subgrad 37.948281	 stepsize= 1.000000 
-dualbound = 3228898.278538, lowerbound=1244159.278538, norm of subgrad 1116.006397	dualbound = 3228898.278538, lowerbound=1244159.278538, norm of subgrad 37.532156	 stepsize= 1.000000 
-dualbound = 3228994.734857, lowerbound=1241566.734857, norm of subgrad 1114.856823	dualbound = 3228994.734857, lowerbound=1241566.734857, norm of subgrad 37.887416	 stepsize= 1.000000 
-dualbound = 3229076.624898, lowerbound=1245117.624898, norm of subgrad 1116.452697	dualbound = 3229076.624898, lowerbound=1245117.624898, norm of subgrad 37.827107	 stepsize= 1.000000 
-dualbound = 3229215.979138, lowerbound=1243799.979138, norm of subgrad 1115.825694	dualbound = 3229215.979138, lowerbound=1243799.979138, norm of subgrad 37.501390	 stepsize= 1.000000 
-dualbound = 3229312.398330, lowerbound=1250766.398330, norm of subgrad 1118.994369	dualbound = 3229312.398330, lowerbound=1250766.398330, norm of subgrad 38.450217	 stepsize= 1.000000 
-dualbound = 3229379.016804, lowerbound=1239259.016804, norm of subgrad 1113.823153	dualbound = 3229379.016804, lowerbound=1239259.016804, norm of subgrad 37.544886	 stepsize= 1.000000 
-dualbound = 3229494.937449, lowerbound=1243048.937449, norm of subgrad 1115.510617	dualbound = 3229494.937449, lowerbound=1243048.937449, norm of subgrad 37.827512	 stepsize= 1.000000 
-dualbound = 3229586.201924, lowerbound=1235405.201924, norm of subgrad 1112.095860	dualbound = 3229586.201924, lowerbound=1235405.201924, norm of subgrad 37.990321	 stepsize= 1.000000 
-dualbound = 3229715.477704, lowerbound=1247109.477704, norm of subgrad 1117.340359	dualbound = 3229715.477704, lowerbound=1247109.477704, norm of subgrad 38.331133	 stepsize= 1.000000 
-dualbound = 3229817.908522, lowerbound=1240253.908522, norm of subgrad 1114.251277	dualbound = 3229817.908522, lowerbound=1240253.908522, norm of subgrad 37.475736	 stepsize= 1.000000 
-dualbound = 3229910.311526, lowerbound=1243477.311526, norm of subgrad 1115.703953	dualbound = 3229910.311526, lowerbound=1243477.311526, norm of subgrad 37.555333	 stepsize= 1.000000 
-dualbound = 3230037.948042, lowerbound=1241663.948042, norm of subgrad 1114.891900	dualbound = 3230037.948042, lowerbound=1241663.948042, norm of subgrad 38.047819	 stepsize= 1.000000 
-dualbound = 3230129.131100, lowerbound=1244502.131100, norm of subgrad 1116.136699	dualbound = 3230129.131100, lowerbound=1244502.131100, norm of subgrad 36.744837	 stepsize= 1.000000 
-dualbound = 3230245.467980, lowerbound=1243888.467980, norm of subgrad 1115.863104	dualbound = 3230245.467980, lowerbound=1243888.467980, norm of subgrad 37.125960	 stepsize= 1.000000 
-dualbound = 3230320.666049, lowerbound=1245234.666049, norm of subgrad 1116.487199	dualbound = 3230320.666049, lowerbound=1245234.666049, norm of subgrad 37.204812	 stepsize= 1.000000 
-dualbound = 3230440.193766, lowerbound=1239101.193766, norm of subgrad 1113.737489	dualbound = 3230440.193766, lowerbound=1239101.193766, norm of subgrad 37.809096	 stepsize= 1.000000 
-dualbound = 3230523.742833, lowerbound=1247337.742833, norm of subgrad 1117.424603	dualbound = 3230523.742833, lowerbound=1247337.742833, norm of subgrad 37.196089	 stepsize= 1.000000 
-dualbound = 3230640.697829, lowerbound=1239194.697829, norm of subgrad 1113.796524	dualbound = 3230640.697829, lowerbound=1239194.697829, norm of subgrad 38.274731	 stepsize= 1.000000 
-dualbound = 3230735.805895, lowerbound=1244347.805895, norm of subgrad 1116.114602	dualbound = 3230735.805895, lowerbound=1244347.805895, norm of subgrad 38.198273	 stepsize= 1.000000 
-dualbound = 3230823.821224, lowerbound=1243836.821224, norm of subgrad 1115.890147	dualbound = 3230823.821224, lowerbound=1243836.821224, norm of subgrad 38.236309	 stepsize= 1.000000 
-dualbound = 3230948.499460, lowerbound=1247099.499460, norm of subgrad 1117.315309	dualbound = 3230948.499460, lowerbound=1247099.499460, norm of subgrad 37.665345	 stepsize= 1.000000 
-dualbound = 3231044.171802, lowerbound=1239907.171802, norm of subgrad 1114.090289	dualbound = 3231044.171802, lowerbound=1239907.171802, norm of subgrad 37.224620	 stepsize= 1.000000 
-dualbound = 3231156.757377, lowerbound=1245606.757377, norm of subgrad 1116.669941	dualbound = 3231156.757377, lowerbound=1245606.757377, norm of subgrad 38.178339	 stepsize= 1.000000 
-dualbound = 3231245.752831, lowerbound=1243479.752831, norm of subgrad 1115.713562	dualbound = 3231245.752831, lowerbound=1243479.752831, norm of subgrad 37.762355	 stepsize= 1.000000 
-dualbound = 3231331.797344, lowerbound=1241933.797344, norm of subgrad 1114.993631	dualbound = 3231331.797344, lowerbound=1241933.797344, norm of subgrad 36.919433	 stepsize= 1.000000 
-dualbound = 3231468.304805, lowerbound=1247824.304805, norm of subgrad 1117.663771	dualbound = 3231468.304805, lowerbound=1247824.304805, norm of subgrad 38.529307	 stepsize= 1.000000 
-dualbound = 3231514.768946, lowerbound=1244919.768946, norm of subgrad 1116.356022	dualbound = 3231514.768946, lowerbound=1244919.768946, norm of subgrad 37.114204	 stepsize= 1.000000 
-dualbound = 3231682.384388, lowerbound=1240070.384388, norm of subgrad 1114.177896	dualbound = 3231682.384388, lowerbound=1240070.384388, norm of subgrad 38.595537	 stepsize= 1.000000 
-dualbound = 3231736.197481, lowerbound=1243906.197481, norm of subgrad 1115.932882	dualbound = 3231736.197481, lowerbound=1243906.197481, norm of subgrad 38.128901	 stepsize= 1.000000 
-dualbound = 3231858.231227, lowerbound=1242579.231227, norm of subgrad 1115.290200	dualbound = 3231858.231227, lowerbound=1242579.231227, norm of subgrad 37.616934	 stepsize= 1.000000 
-dualbound = 3231959.645831, lowerbound=1243496.645831, norm of subgrad 1115.718892	dualbound = 3231959.645831, lowerbound=1243496.645831, norm of subgrad 37.860462	 stepsize= 1.000000 
-dualbound = 3232064.182914, lowerbound=1239977.182914, norm of subgrad 1114.141007	dualbound = 3232064.182914, lowerbound=1239977.182914, norm of subgrad 37.914866	 stepsize= 1.000000 
-dualbound = 3232125.769935, lowerbound=1242448.769935, norm of subgrad 1115.289097	dualbound = 3232125.769935, lowerbound=1242448.769935, norm of subgrad 38.504377	 stepsize= 1.000000 
-dualbound = 3232247.445992, lowerbound=1242747.445992, norm of subgrad 1115.386232	dualbound = 3232247.445992, lowerbound=1242747.445992, norm of subgrad 38.218792	 stepsize= 1.000000 
-dualbound = 3232330.747656, lowerbound=1240969.747656, norm of subgrad 1114.604750	dualbound = 3232330.747656, lowerbound=1240969.747656, norm of subgrad 38.174621	 stepsize= 1.000000 
-dualbound = 3232439.252132, lowerbound=1245260.252132, norm of subgrad 1116.498657	dualbound = 3232439.252132, lowerbound=1245260.252132, norm of subgrad 37.649761	 stepsize= 1.000000 
-dualbound = 3232553.430256, lowerbound=1242429.430256, norm of subgrad 1115.210935	dualbound = 3232553.430256, lowerbound=1242429.430256, norm of subgrad 37.150749	 stepsize= 1.000000 
-dualbound = 3232669.692809, lowerbound=1246657.692809, norm of subgrad 1117.112211	dualbound = 3232669.692809, lowerbound=1246657.692809, norm of subgrad 37.393349	 stepsize= 1.000000 
-dualbound = 3232753.037348, lowerbound=1242113.037348, norm of subgrad 1115.102254	dualbound = 3232753.037348, lowerbound=1242113.037348, norm of subgrad 37.727239	 stepsize= 1.000000 
-dualbound = 3232848.857269, lowerbound=1248562.857269, norm of subgrad 1117.978022	dualbound = 3232848.857269, lowerbound=1248562.857269, norm of subgrad 37.520926	 stepsize= 1.000000 
-dualbound = 3232971.571563, lowerbound=1241739.571563, norm of subgrad 1114.890834	dualbound = 3232971.571563, lowerbound=1241739.571563, norm of subgrad 36.942040	 stepsize= 1.000000 
-dualbound = 3233069.708085, lowerbound=1250855.708085, norm of subgrad 1119.014168	dualbound = 3233069.708085, lowerbound=1250855.708085, norm of subgrad 37.883196	 stepsize= 1.000000 
-dualbound = 3233156.820165, lowerbound=1240393.820165, norm of subgrad 1114.314058	dualbound = 3233156.820165, lowerbound=1240393.820165, norm of subgrad 37.270794	 stepsize= 1.000000 
-dualbound = 3233263.575026, lowerbound=1245782.575026, norm of subgrad 1116.749558	dualbound = 3233263.575026, lowerbound=1245782.575026, norm of subgrad 38.128137	 stepsize= 1.000000 
-dualbound = 3233359.608584, lowerbound=1237379.608584, norm of subgrad 1112.957595	dualbound = 3233359.608584, lowerbound=1237379.608584, norm of subgrad 37.296562	 stepsize= 1.000000 
-dualbound = 3233469.916543, lowerbound=1244104.916543, norm of subgrad 1115.992794	dualbound = 3233469.916543, lowerbound=1244104.916543, norm of subgrad 38.017206	 stepsize= 1.000000 
-dualbound = 3233555.334173, lowerbound=1240833.334173, norm of subgrad 1114.534582	dualbound = 3233555.334173, lowerbound=1240833.334173, norm of subgrad 37.939658	 stepsize= 1.000000 
-dualbound = 3233659.204025, lowerbound=1244308.204025, norm of subgrad 1116.078942	dualbound = 3233659.204025, lowerbound=1244308.204025, norm of subgrad 37.787165	 stepsize= 1.000000 
-dualbound = 3233765.074318, lowerbound=1243947.074318, norm of subgrad 1115.921177	dualbound = 3233765.074318, lowerbound=1243947.074318, norm of subgrad 37.932444	 stepsize= 1.000000 
-dualbound = 3233859.922702, lowerbound=1246993.922702, norm of subgrad 1117.278355	dualbound = 3233859.922702, lowerbound=1246993.922702, norm of subgrad 37.574571	 stepsize= 1.000000 
-dualbound = 3233971.918186, lowerbound=1244629.918186, norm of subgrad 1116.203798	dualbound = 3233971.918186, lowerbound=1244629.918186, norm of subgrad 37.322855	 stepsize= 1.000000 
-dualbound = 3234088.389967, lowerbound=1245770.389967, norm of subgrad 1116.737834	dualbound = 3234088.389967, lowerbound=1245770.389967, norm of subgrad 38.071929	 stepsize= 1.000000 
-dualbound = 3234157.226121, lowerbound=1241607.226121, norm of subgrad 1114.880364	dualbound = 3234157.226121, lowerbound=1241607.226121, norm of subgrad 37.680713	 stepsize= 1.000000 
-dualbound = 3234264.556433, lowerbound=1245565.556433, norm of subgrad 1116.623731	dualbound = 3234264.556433, lowerbound=1245565.556433, norm of subgrad 37.287133	 stepsize= 1.000000 
-dualbound = 3234391.736763, lowerbound=1244406.736763, norm of subgrad 1116.106060	dualbound = 3234391.736763, lowerbound=1244406.736763, norm of subgrad 37.592291	 stepsize= 1.000000 
-dualbound = 3234479.389762, lowerbound=1245492.389762, norm of subgrad 1116.586938	dualbound = 3234479.389762, lowerbound=1245492.389762, norm of subgrad 36.900583	 stepsize= 1.000000 
-dualbound = 3234581.907734, lowerbound=1240010.907734, norm of subgrad 1114.168258	dualbound = 3234581.907734, lowerbound=1240010.907734, norm of subgrad 38.242881	 stepsize= 1.000000 
-dualbound = 3234669.199615, lowerbound=1246368.199615, norm of subgrad 1117.006356	dualbound = 3234669.199615, lowerbound=1246368.199615, norm of subgrad 37.713285	 stepsize= 1.000000 
-dualbound = 3234753.015919, lowerbound=1242737.015919, norm of subgrad 1115.366315	dualbound = 3234753.015919, lowerbound=1242737.015919, norm of subgrad 37.266826	 stepsize= 1.000000 
-dualbound = 3234900.606247, lowerbound=1243933.606247, norm of subgrad 1115.916039	dualbound = 3234900.606247, lowerbound=1243933.606247, norm of subgrad 38.504420	 stepsize= 1.000000 
-dualbound = 3234968.851512, lowerbound=1240881.851512, norm of subgrad 1114.549170	dualbound = 3234968.851512, lowerbound=1240881.851512, norm of subgrad 37.499937	 stepsize= 1.000000 
-dualbound = 3235081.462974, lowerbound=1246791.462974, norm of subgrad 1117.173426	dualbound = 3235081.462974, lowerbound=1246791.462974, norm of subgrad 37.384642	 stepsize= 1.000000 
-dualbound = 3235203.000928, lowerbound=1240880.000928, norm of subgrad 1114.528152	dualbound = 3235203.000928, lowerbound=1240880.000928, norm of subgrad 37.610344	 stepsize= 1.000000 
-dualbound = 3235283.696512, lowerbound=1241996.696512, norm of subgrad 1115.068472	dualbound = 3235283.696512, lowerbound=1241996.696512, norm of subgrad 38.232128	 stepsize= 1.000000 
-dualbound = 3235352.129114, lowerbound=1246735.129114, norm of subgrad 1117.191178	dualbound = 3235352.129114, lowerbound=1246735.129114, norm of subgrad 38.071414	 stepsize= 1.000000 
-dualbound = 3235501.481231, lowerbound=1245073.481231, norm of subgrad 1116.403369	dualbound = 3235501.481231, lowerbound=1245073.481231, norm of subgrad 37.846428	 stepsize= 1.000000 
-dualbound = 3235566.326262, lowerbound=1240076.326262, norm of subgrad 1114.170241	dualbound = 3235566.326262, lowerbound=1240076.326262, norm of subgrad 36.930273	 stepsize= 1.000000 
-dualbound = 3235707.867032, lowerbound=1249066.867032, norm of subgrad 1118.193573	dualbound = 3235707.867032, lowerbound=1249066.867032, norm of subgrad 37.835708	 stepsize= 1.000000 
-dualbound = 3235785.989035, lowerbound=1242872.989035, norm of subgrad 1115.439370	dualbound = 3235785.989035, lowerbound=1242872.989035, norm of subgrad 37.551591	 stepsize= 1.000000 
-dualbound = 3235874.524668, lowerbound=1248221.524668, norm of subgrad 1117.814620	dualbound = 3235874.524668, lowerbound=1248221.524668, norm of subgrad 37.101693	 stepsize= 1.000000 
-dualbound = 3235996.417080, lowerbound=1240314.417080, norm of subgrad 1114.274390	dualbound = 3235996.417080, lowerbound=1240314.417080, norm of subgrad 37.615056	 stepsize= 1.000000 
-dualbound = 3236105.391124, lowerbound=1246425.391124, norm of subgrad 1117.003308	dualbound = 3236105.391124, lowerbound=1246425.391124, norm of subgrad 37.148002	 stepsize= 1.000000 
-dualbound = 3236210.758562, lowerbound=1241757.758562, norm of subgrad 1114.923207	dualbound = 3236210.758562, lowerbound=1241757.758562, norm of subgrad 37.434843	 stepsize= 1.000000 
-dualbound = 3236310.290771, lowerbound=1246866.290771, norm of subgrad 1117.223026	dualbound = 3236310.290771, lowerbound=1246866.290771, norm of subgrad 37.689948	 stepsize= 1.000000 
-dualbound = 3236384.118340, lowerbound=1242680.118340, norm of subgrad 1115.338567	dualbound = 3236384.118340, lowerbound=1242680.118340, norm of subgrad 37.065180	 stepsize= 1.000000 
-dualbound = 3236506.066972, lowerbound=1248191.066972, norm of subgrad 1117.806364	dualbound = 3236506.066972, lowerbound=1248191.066972, norm of subgrad 37.708734	 stepsize= 1.000000 
-dualbound = 3236596.836022, lowerbound=1242370.836022, norm of subgrad 1115.212014	dualbound = 3236596.836022, lowerbound=1242370.836022, norm of subgrad 37.653274	 stepsize= 1.000000 
-dualbound = 3236701.171555, lowerbound=1245934.171555, norm of subgrad 1116.826831	dualbound = 3236701.171555, lowerbound=1245934.171555, norm of subgrad 38.371025	 stepsize= 1.000000 
-dualbound = 3236765.219995, lowerbound=1240221.219995, norm of subgrad 1114.246032	dualbound = 3236765.219995, lowerbound=1240221.219995, norm of subgrad 37.243099	 stepsize= 1.000000 
-dualbound = 3236893.101347, lowerbound=1247871.101347, norm of subgrad 1117.698574	dualbound = 3236893.101347, lowerbound=1247871.101347, norm of subgrad 38.818570	 stepsize= 1.000000 
-dualbound = 3236997.798341, lowerbound=1241371.798341, norm of subgrad 1114.740238	dualbound = 3236997.798341, lowerbound=1241371.798341, norm of subgrad 37.130809	 stepsize= 1.000000 
-dualbound = 3237105.404496, lowerbound=1248795.404496, norm of subgrad 1118.098119	dualbound = 3237105.404496, lowerbound=1248795.404496, norm of subgrad 38.152407	 stepsize= 1.000000 
-dualbound = 3237169.303806, lowerbound=1237693.303806, norm of subgrad 1113.149273	dualbound = 3237169.303806, lowerbound=1237693.303806, norm of subgrad 38.365340	 stepsize= 1.000000 
-dualbound = 3237277.719269, lowerbound=1247075.719269, norm of subgrad 1117.289452	dualbound = 3237277.719269, lowerbound=1247075.719269, norm of subgrad 36.992100	 stepsize= 1.000000 
-dualbound = 3237399.775629, lowerbound=1238576.775629, norm of subgrad 1113.483173	dualbound = 3237399.775629, lowerbound=1238576.775629, norm of subgrad 37.283460	 stepsize= 1.000000 
-dualbound = 3237512.537350, lowerbound=1248265.537350, norm of subgrad 1117.837885	dualbound = 3237512.537350, lowerbound=1248265.537350, norm of subgrad 37.533475	 stepsize= 1.000000 
-dualbound = 3237583.020188, lowerbound=1238930.020188, norm of subgrad 1113.666027	dualbound = 3237583.020188, lowerbound=1238930.020188, norm of subgrad 37.315986	 stepsize= 1.000000 
-dualbound = 3237700.997339, lowerbound=1244855.997339, norm of subgrad 1116.338657	dualbound = 3237700.997339, lowerbound=1244855.997339, norm of subgrad 38.392410	 stepsize= 1.000000 
-dualbound = 3237796.281216, lowerbound=1242930.281216, norm of subgrad 1115.455190	dualbound = 3237796.281216, lowerbound=1242930.281216, norm of subgrad 37.487116	 stepsize= 1.000000 
-dualbound = 3237896.256307, lowerbound=1242333.256307, norm of subgrad 1115.215341	dualbound = 3237896.256307, lowerbound=1242333.256307, norm of subgrad 38.366328	 stepsize= 1.000000 
-dualbound = 3238007.473457, lowerbound=1244269.473457, norm of subgrad 1116.045014	dualbound = 3238007.473457, lowerbound=1244269.473457, norm of subgrad 37.392742	 stepsize= 1.000000 
-dualbound = 3238124.690402, lowerbound=1244244.690402, norm of subgrad 1116.056311	dualbound = 3238124.690402, lowerbound=1244244.690402, norm of subgrad 38.134197	 stepsize= 1.000000 
-dualbound = 3238207.915646, lowerbound=1242591.915646, norm of subgrad 1115.329510	dualbound = 3238207.915646, lowerbound=1242591.915646, norm of subgrad 38.094950	 stepsize= 1.000000 
-dualbound = 3238295.181898, lowerbound=1245915.181898, norm of subgrad 1116.808928	dualbound = 3238295.181898, lowerbound=1245915.181898, norm of subgrad 37.871708	 stepsize= 1.000000 
-dualbound = 3238409.057520, lowerbound=1247847.057520, norm of subgrad 1117.651134	dualbound = 3238409.057520, lowerbound=1247847.057520, norm of subgrad 37.561624	 stepsize= 1.000000 
-dualbound = 3238514.234119, lowerbound=1242507.234119, norm of subgrad 1115.257026	dualbound = 3238514.234119, lowerbound=1242507.234119, norm of subgrad 37.365447	 stepsize= 1.000000 
-dualbound = 3238600.842031, lowerbound=1246401.842031, norm of subgrad 1116.995901	dualbound = 3238600.842031, lowerbound=1246401.842031, norm of subgrad 36.940600	 stepsize= 1.000000 
-dualbound = 3238729.029689, lowerbound=1246185.029689, norm of subgrad 1116.904665	dualbound = 3238729.029689, lowerbound=1246185.029689, norm of subgrad 37.672107	 stepsize= 1.000000 
-dualbound = 3238830.644223, lowerbound=1242907.644223, norm of subgrad 1115.455801	dualbound = 3238830.644223, lowerbound=1242907.644223, norm of subgrad 37.889504	 stepsize= 1.000000 
-dualbound = 3238887.166575, lowerbound=1242711.166575, norm of subgrad 1115.350692	dualbound = 3238887.166575, lowerbound=1242711.166575, norm of subgrad 36.776655	 stepsize= 1.000000 
-dualbound = 3239035.323072, lowerbound=1245769.323072, norm of subgrad 1116.696612	dualbound = 3239035.323072, lowerbound=1245769.323072, norm of subgrad 37.284802	 stepsize= 1.000000 
-dualbound = 3239126.376898, lowerbound=1242505.376898, norm of subgrad 1115.244985	dualbound = 3239126.376898, lowerbound=1242505.376898, norm of subgrad 36.838212	 stepsize= 1.000000 
-dualbound = 3239216.519587, lowerbound=1247790.519587, norm of subgrad 1117.629867	dualbound = 3239216.519587, lowerbound=1247790.519587, norm of subgrad 37.364993	 stepsize= 1.000000 
-dualbound = 3239296.370445, lowerbound=1245046.370445, norm of subgrad 1116.410037	dualbound = 3239296.370445, lowerbound=1245046.370445, norm of subgrad 37.481340	 stepsize= 1.000000 
-dualbound = 3239406.497693, lowerbound=1245302.497693, norm of subgrad 1116.512202	dualbound = 3239406.497693, lowerbound=1245302.497693, norm of subgrad 37.511695	 stepsize= 1.000000 
-dualbound = 3239537.889432, lowerbound=1244554.889432, norm of subgrad 1116.175116	dualbound = 3239537.889432, lowerbound=1244554.889432, norm of subgrad 37.727864	 stepsize= 1.000000 
-dualbound = 3239609.775800, lowerbound=1242482.775800, norm of subgrad 1115.260855	dualbound = 3239609.775800, lowerbound=1242482.775800, norm of subgrad 37.361563	 stepsize= 1.000000 
-dualbound = 3239714.536198, lowerbound=1246880.536198, norm of subgrad 1117.245960	dualbound = 3239714.536198, lowerbound=1246880.536198, norm of subgrad 38.246051	 stepsize= 1.000000 
-dualbound = 3239795.627789, lowerbound=1246310.627789, norm of subgrad 1116.965366	dualbound = 3239795.627789, lowerbound=1246310.627789, norm of subgrad 37.176492	 stepsize= 1.000000 
-dualbound = 3239927.003404, lowerbound=1245777.003404, norm of subgrad 1116.723333	dualbound = 3239927.003404, lowerbound=1245777.003404, norm of subgrad 37.754147	 stepsize= 1.000000 
-dualbound = 3240033.820226, lowerbound=1245189.820226, norm of subgrad 1116.451889	dualbound = 3240033.820226, lowerbound=1245189.820226, norm of subgrad 37.172797	 stepsize= 1.000000 
-dualbound = 3240126.921050, lowerbound=1242764.921050, norm of subgrad 1115.398100	dualbound = 3240126.921050, lowerbound=1242764.921050, norm of subgrad 37.961834	 stepsize= 1.000000 
-dualbound = 3240211.810987, lowerbound=1245278.810987, norm of subgrad 1116.504282	dualbound = 3240211.810987, lowerbound=1245278.810987, norm of subgrad 37.254395	 stepsize= 1.000000 
-dualbound = 3240325.713931, lowerbound=1247280.713931, norm of subgrad 1117.395505	dualbound = 3240325.713931, lowerbound=1247280.713931, norm of subgrad 37.495372	 stepsize= 1.000000 
-dualbound = 3240430.176417, lowerbound=1239677.176417, norm of subgrad 1114.003670	dualbound = 3240430.176417, lowerbound=1239677.176417, norm of subgrad 37.834673	 stepsize= 1.000000 
-dualbound = 3240510.888889, lowerbound=1246737.888889, norm of subgrad 1117.165560	dualbound = 3240510.888889, lowerbound=1246737.888889, norm of subgrad 37.439451	 stepsize= 1.000000 
-dualbound = 3240608.761150, lowerbound=1246185.761150, norm of subgrad 1116.924689	dualbound = 3240608.761150, lowerbound=1246185.761150, norm of subgrad 37.853299	 stepsize= 1.000000 
-dualbound = 3240713.848548, lowerbound=1247231.848548, norm of subgrad 1117.427782	dualbound = 3240713.848548, lowerbound=1247231.848548, norm of subgrad 38.962641	 stepsize= 1.000000 
-dualbound = 3240791.173353, lowerbound=1246733.173353, norm of subgrad 1117.192541	dualbound = 3240791.173353, lowerbound=1246733.173353, norm of subgrad 38.253429	 stepsize= 1.000000 
-dualbound = 3240910.374085, lowerbound=1246498.374085, norm of subgrad 1117.079842	dualbound = 3240910.374085, lowerbound=1246498.374085, norm of subgrad 38.577205	 stepsize= 1.000000 
-dualbound = 3241009.968787, lowerbound=1243042.968787, norm of subgrad 1115.521837	dualbound = 3241009.968787, lowerbound=1243042.968787, norm of subgrad 38.020977	 stepsize= 1.000000 
-dualbound = 3241123.101022, lowerbound=1246579.101022, norm of subgrad 1117.103890	dualbound = 3241123.101022, lowerbound=1246579.101022, norm of subgrad 38.146196	 stepsize= 1.000000 
-dualbound = 3241202.968592, lowerbound=1244649.968592, norm of subgrad 1116.233832	dualbound = 3241202.968592, lowerbound=1244649.968592, norm of subgrad 37.521561	 stepsize= 1.000000 
-dualbound = 3241312.589838, lowerbound=1243285.589838, norm of subgrad 1115.616686	dualbound = 3241312.589838, lowerbound=1243285.589838, norm of subgrad 37.744155	 stepsize= 1.000000 
-dualbound = 3241417.506549, lowerbound=1238986.506549, norm of subgrad 1113.688245	dualbound = 3241417.506549, lowerbound=1238986.506549, norm of subgrad 37.681782	 stepsize= 1.000000 
-dualbound = 3241547.622653, lowerbound=1247315.622653, norm of subgrad 1117.402623	dualbound = 3241547.622653, lowerbound=1247315.622653, norm of subgrad 37.458191	 stepsize= 1.000000 
-dualbound = 3241614.539969, lowerbound=1242980.539969, norm of subgrad 1115.492062	dualbound = 3241614.539969, lowerbound=1242980.539969, norm of subgrad 37.535547	 stepsize= 1.000000 
-dualbound = 3241714.021665, lowerbound=1244759.021665, norm of subgrad 1116.275065	dualbound = 3241714.021665, lowerbound=1244759.021665, norm of subgrad 37.556380	 stepsize= 1.000000 
-dualbound = 3241810.012523, lowerbound=1243422.012523, norm of subgrad 1115.684997	dualbound = 3241810.012523, lowerbound=1243422.012523, norm of subgrad 37.775533	 stepsize= 1.000000 
-dualbound = 3241906.207401, lowerbound=1246157.207401, norm of subgrad 1116.903849	dualbound = 3241906.207401, lowerbound=1246157.207401, norm of subgrad 37.592484	 stepsize= 1.000000 
-dualbound = 3242020.050377, lowerbound=1244140.050377, norm of subgrad 1116.010327	dualbound = 3242020.050377, lowerbound=1244140.050377, norm of subgrad 38.116177	 stepsize= 1.000000 
-dualbound = 3242099.918268, lowerbound=1248517.918268, norm of subgrad 1117.992361	dualbound = 3242099.918268, lowerbound=1248517.918268, norm of subgrad 38.325812	 stepsize= 1.000000 
-dualbound = 3242205.628309, lowerbound=1242337.628309, norm of subgrad 1115.197574	dualbound = 3242205.628309, lowerbound=1242337.628309, norm of subgrad 37.864364	 stepsize= 1.000000 
-dualbound = 3242305.378050, lowerbound=1246971.378050, norm of subgrad 1117.290194	dualbound = 3242305.378050, lowerbound=1246971.378050, norm of subgrad 38.285111	 stepsize= 1.000000 
-dualbound = 3242389.977345, lowerbound=1245611.977345, norm of subgrad 1116.683025	dualbound = 3242389.977345, lowerbound=1245611.977345, norm of subgrad 38.126097	 stepsize= 1.000000 
-dualbound = 3242516.822077, lowerbound=1246068.822077, norm of subgrad 1116.855775	dualbound = 3242516.822077, lowerbound=1246068.822077, norm of subgrad 37.747116	 stepsize= 1.000000 
-dualbound = 3242620.069422, lowerbound=1245803.069422, norm of subgrad 1116.739481	dualbound = 3242620.069422, lowerbound=1245803.069422, norm of subgrad 37.513296	 stepsize= 1.000000 
-dualbound = 3242722.121053, lowerbound=1244785.121053, norm of subgrad 1116.302433	dualbound = 3242722.121053, lowerbound=1244785.121053, norm of subgrad 38.053274	 stepsize= 1.000000 
-dualbound = 3242814.950063, lowerbound=1246317.950063, norm of subgrad 1116.991920	dualbound = 3242814.950063, lowerbound=1246317.950063, norm of subgrad 38.024058	 stepsize= 1.000000 
-dualbound = 3242913.903268, lowerbound=1247510.903268, norm of subgrad 1117.511478	dualbound = 3242913.903268, lowerbound=1247510.903268, norm of subgrad 37.682266	 stepsize= 1.000000 
-dualbound = 3243029.113270, lowerbound=1247446.113270, norm of subgrad 1117.477567	dualbound = 3243029.113270, lowerbound=1247446.113270, norm of subgrad 37.751954	 stepsize= 1.000000 
-dualbound = 3243115.287852, lowerbound=1243158.287852, norm of subgrad 1115.531393	dualbound = 3243115.287852, lowerbound=1243158.287852, norm of subgrad 36.581069	 stepsize= 1.000000 
-dualbound = 3243250.787551, lowerbound=1245442.787551, norm of subgrad 1116.566517	dualbound = 3243250.787551, lowerbound=1245442.787551, norm of subgrad 37.596538	 stepsize= 1.000000 
-dualbound = 3243328.736174, lowerbound=1247926.736174, norm of subgrad 1117.695279	dualbound = 3243328.736174, lowerbound=1247926.736174, norm of subgrad 37.335621	 stepsize= 1.000000 
-dualbound = 3243434.852574, lowerbound=1246053.852574, norm of subgrad 1116.853103	dualbound = 3243434.852574, lowerbound=1246053.852574, norm of subgrad 37.591441	 stepsize= 1.000000 
-dualbound = 3243511.937392, lowerbound=1245580.937392, norm of subgrad 1116.671813	dualbound = 3243511.937392, lowerbound=1245580.937392, norm of subgrad 38.106231	 stepsize= 1.000000 
-dualbound = 3243583.685796, lowerbound=1244847.685796, norm of subgrad 1116.334934	dualbound = 3243583.685796, lowerbound=1244847.685796, norm of subgrad 37.785558	 stepsize= 1.000000 
-dualbound = 3243717.047291, lowerbound=1245594.047291, norm of subgrad 1116.691563	dualbound = 3243717.047291, lowerbound=1245594.047291, norm of subgrad 39.234698	 stepsize= 1.000000 
-dualbound = 3243796.126338, lowerbound=1246887.126338, norm of subgrad 1117.229666	dualbound = 3243796.126338, lowerbound=1246887.126338, norm of subgrad 37.337368	 stepsize= 1.000000 
-dualbound = 3243934.393793, lowerbound=1242860.393793, norm of subgrad 1115.426104	dualbound = 3243934.393793, lowerbound=1242860.393793, norm of subgrad 38.121745	 stepsize= 1.000000 
-dualbound = 3244007.579893, lowerbound=1246939.579893, norm of subgrad 1117.265671	dualbound = 3244007.579893, lowerbound=1246939.579893, norm of subgrad 37.632248	 stepsize= 1.000000 
-dualbound = 3244110.458774, lowerbound=1243784.458774, norm of subgrad 1115.859516	dualbound = 3244110.458774, lowerbound=1243784.458774, norm of subgrad 38.221445	 stepsize= 1.000000 
-dualbound = 3244213.982417, lowerbound=1246682.982417, norm of subgrad 1117.125321	dualbound = 3244213.982417, lowerbound=1246682.982417, norm of subgrad 37.276315	 stepsize= 1.000000 
-dualbound = 3244324.599297, lowerbound=1243547.599297, norm of subgrad 1115.733660	dualbound = 3244324.599297, lowerbound=1243547.599297, norm of subgrad 37.744097	 stepsize= 1.000000 
-dualbound = 3244420.972902, lowerbound=1246846.972902, norm of subgrad 1117.185290	dualbound = 3244420.972902, lowerbound=1246846.972902, norm of subgrad 36.774633	 stepsize= 1.000000 
-dualbound = 3244539.906078, lowerbound=1245658.906078, norm of subgrad 1116.666873	dualbound = 3244539.906078, lowerbound=1245658.906078, norm of subgrad 37.482438	 stepsize= 1.000000 
-dualbound = 3244628.958646, lowerbound=1246246.958646, norm of subgrad 1116.927016	dualbound = 3244628.958646, lowerbound=1246246.958646, norm of subgrad 36.987195	 stepsize= 1.000000 
-dualbound = 3244716.676810, lowerbound=1247679.676810, norm of subgrad 1117.603542	dualbound = 3244716.676810, lowerbound=1247679.676810, norm of subgrad 38.022601	 stepsize= 1.000000 
-dualbound = 3244808.482401, lowerbound=1248900.482401, norm of subgrad 1118.125432	dualbound = 3244808.482401, lowerbound=1248900.482401, norm of subgrad 37.360482	 stepsize= 1.000000 
-dualbound = 3244916.455900, lowerbound=1245256.455900, norm of subgrad 1116.494718	dualbound = 3244916.455900, lowerbound=1245256.455900, norm of subgrad 37.576236	 stepsize= 1.000000 
-dualbound = 3245008.665933, lowerbound=1250497.665933, norm of subgrad 1118.872498	dualbound = 3245008.665933, lowerbound=1250497.665933, norm of subgrad 38.343318	 stepsize= 1.000000 
-dualbound = 3245095.781956, lowerbound=1239987.781956, norm of subgrad 1114.128261	dualbound = 3245095.781956, lowerbound=1239987.781956, norm of subgrad 37.163369	 stepsize= 1.000000 
-dualbound = 3245229.750330, lowerbound=1249271.750330, norm of subgrad 1118.277582	dualbound = 3245229.750330, lowerbound=1249271.750330, norm of subgrad 37.509577	 stepsize= 1.000000 
-dualbound = 3245332.514951, lowerbound=1244891.514951, norm of subgrad 1116.344712	dualbound = 3245332.514951, lowerbound=1244891.514951, norm of subgrad 37.904678	 stepsize= 1.000000 
-dualbound = 3245392.711191, lowerbound=1247145.711191, norm of subgrad 1117.377605	dualbound = 3245392.711191, lowerbound=1247145.711191, norm of subgrad 38.042033	 stepsize= 1.000000 
-dualbound = 3245508.183866, lowerbound=1251563.183866, norm of subgrad 1119.326665	dualbound = 3245508.183866, lowerbound=1251563.183866, norm of subgrad 38.006219	 stepsize= 1.000000 
-dualbound = 3245612.425700, lowerbound=1240435.425700, norm of subgrad 1114.371314	dualbound = 3245612.425700, lowerbound=1240435.425700, norm of subgrad 38.629546	 stepsize= 1.000000 
-dualbound = 3245678.737321, lowerbound=1245018.737321, norm of subgrad 1116.390047	dualbound = 3245678.737321, lowerbound=1245018.737321, norm of subgrad 37.071709	 stepsize= 1.000000 
-dualbound = 3245815.083546, lowerbound=1243081.083546, norm of subgrad 1115.507993	dualbound = 3245815.083546, lowerbound=1243081.083546, norm of subgrad 37.594497	 stepsize= 1.000000 
-dualbound = 3245922.111406, lowerbound=1244318.111406, norm of subgrad 1116.098612	dualbound = 3245922.111406, lowerbound=1244318.111406, norm of subgrad 38.275682	 stepsize= 1.000000 
-dualbound = 3245989.179886, lowerbound=1246491.179886, norm of subgrad 1117.054690	dualbound = 3245989.179886, lowerbound=1246491.179886, norm of subgrad 37.243368	 stepsize= 1.000000 
-dualbound = 3246128.394412, lowerbound=1249063.394412, norm of subgrad 1118.173240	dualbound = 3246128.394412, lowerbound=1249063.394412, norm of subgrad 37.245329	 stepsize= 1.000000 
-dualbound = 3246226.265312, lowerbound=1246298.265312, norm of subgrad 1116.959384	dualbound = 3246226.265312, lowerbound=1246298.265312, norm of subgrad 37.388112	 stepsize= 1.000000 
-dualbound = 3246324.591990, lowerbound=1250149.591990, norm of subgrad 1118.689676	dualbound = 3246324.591990, lowerbound=1250149.591990, norm of subgrad 37.620828	 stepsize= 1.000000 
-dualbound = 3246391.233787, lowerbound=1243354.233787, norm of subgrad 1115.648347	dualbound = 3246391.233787, lowerbound=1243354.233787, norm of subgrad 37.197336	 stepsize= 1.000000 
-dualbound = 3246523.748922, lowerbound=1247025.748922, norm of subgrad 1117.293493	dualbound = 3246523.748922, lowerbound=1247025.748922, norm of subgrad 38.098755	 stepsize= 1.000000 
-dualbound = 3246607.478873, lowerbound=1246597.478873, norm of subgrad 1117.088841	dualbound = 3246607.478873, lowerbound=1246597.478873, norm of subgrad 37.063863	 stepsize= 1.000000 
-dualbound = 3246711.211973, lowerbound=1243765.211973, norm of subgrad 1115.868815	dualbound = 3246711.211973, lowerbound=1243765.211973, norm of subgrad 38.752201	 stepsize= 1.000000 
-dualbound = 3246771.082826, lowerbound=1247160.082826, norm of subgrad 1117.365689	dualbound = 3246771.082826, lowerbound=1247160.082826, norm of subgrad 37.494944	 stepsize= 1.000000 
-dualbound = 3246899.175761, lowerbound=1247192.175761, norm of subgrad 1117.361703	dualbound = 3246899.175761, lowerbound=1247192.175761, norm of subgrad 37.856214	 stepsize= 1.000000 
-dualbound = 3247014.638875, lowerbound=1245123.638875, norm of subgrad 1116.425384	dualbound = 3247014.638875, lowerbound=1245123.638875, norm of subgrad 37.382658	 stepsize= 1.000000 
-dualbound = 3247105.641325, lowerbound=1244752.641325, norm of subgrad 1116.275791	dualbound = 3247105.641325, lowerbound=1244752.641325, norm of subgrad 37.549999	 stepsize= 1.000000 
-dualbound = 3247215.181853, lowerbound=1243922.181853, norm of subgrad 1115.887621	dualbound = 3247215.181853, lowerbound=1243922.181853, norm of subgrad 37.316759	 stepsize= 1.000000 
-dualbound = 3247319.834048, lowerbound=1246357.834048, norm of subgrad 1117.008878	dualbound = 3247319.834048, lowerbound=1246357.834048, norm of subgrad 38.153010	 stepsize= 1.000000 
-dualbound = 3247383.448215, lowerbound=1247482.448215, norm of subgrad 1117.512169	dualbound = 3247383.448215, lowerbound=1247482.448215, norm of subgrad 37.611357	 stepsize= 1.000000 
-dualbound = 3247492.420955, lowerbound=1252222.420955, norm of subgrad 1119.621106	dualbound = 3247492.420955, lowerbound=1252222.420955, norm of subgrad 37.920611	 stepsize= 1.000000 
-dualbound = 3247600.383525, lowerbound=1244927.383525, norm of subgrad 1116.344205	dualbound = 3247600.383525, lowerbound=1244927.383525, norm of subgrad 37.482830	 stepsize= 1.000000 
-dualbound = 3247698.499549, lowerbound=1247747.499549, norm of subgrad 1117.631200	dualbound = 3247698.499549, lowerbound=1247747.499549, norm of subgrad 38.080389	 stepsize= 1.000000 
-dualbound = 3247783.502798, lowerbound=1244197.502798, norm of subgrad 1116.008290	dualbound = 3247783.502798, lowerbound=1244197.502798, norm of subgrad 36.905328	 stepsize= 1.000000 
-dualbound = 3247915.313395, lowerbound=1254030.313395, norm of subgrad 1120.425059	dualbound = 3247915.313395, lowerbound=1254030.313395, norm of subgrad 38.128868	 stepsize= 1.000000 
-dualbound = 3247993.725931, lowerbound=1246007.725931, norm of subgrad 1116.837377	dualbound = 3247993.725931, lowerbound=1246007.725931, norm of subgrad 37.368604	 stepsize= 1.000000 
-dualbound = 3248093.511023, lowerbound=1249198.511023, norm of subgrad 1118.254672	dualbound = 3248093.511023, lowerbound=1249198.511023, norm of subgrad 37.346822	 stepsize= 1.000000 
-dualbound = 3248196.531403, lowerbound=1245235.531403, norm of subgrad 1116.492065	dualbound = 3248196.531403, lowerbound=1245235.531403, norm of subgrad 37.709686	 stepsize= 1.000000 
-dualbound = 3248287.489616, lowerbound=1247013.489616, norm of subgrad 1117.278161	dualbound = 3248287.489616, lowerbound=1247013.489616, norm of subgrad 37.255311	 stepsize= 1.000000 
-dualbound = 3248389.480396, lowerbound=1246344.480396, norm of subgrad 1116.993501	dualbound = 3248389.480396, lowerbound=1246344.480396, norm of subgrad 37.841654	 stepsize= 1.000000 
-dualbound = 3248479.369490, lowerbound=1249285.369490, norm of subgrad 1118.313628	dualbound = 3248479.369490, lowerbound=1249285.369490, norm of subgrad 37.813874	 stepsize= 1.000000 
-dualbound = 3248566.263718, lowerbound=1242955.263718, norm of subgrad 1115.473112	dualbound = 3248566.263718, lowerbound=1242955.263718, norm of subgrad 37.575181	 stepsize= 1.000000 
-dualbound = 3248702.372272, lowerbound=1249216.372272, norm of subgrad 1118.291273	dualbound = 3248702.372272, lowerbound=1249216.372272, norm of subgrad 38.666634	 stepsize= 1.000000 
-dualbound = 3248756.599354, lowerbound=1245970.599354, norm of subgrad 1116.852989	dualbound = 3248756.599354, lowerbound=1245970.599354, norm of subgrad 38.002988	 stepsize= 1.000000 
-dualbound = 3248876.546455, lowerbound=1252152.546455, norm of subgrad 1119.576950	dualbound = 3248876.546455, lowerbound=1252152.546455, norm of subgrad 37.682185	 stepsize= 1.000000 
-dualbound = 3249002.883240, lowerbound=1246686.883240, norm of subgrad 1117.105583	dualbound = 3249002.883240, lowerbound=1246686.883240, norm of subgrad 36.936930	 stepsize= 1.000000 
-dualbound = 3249083.640897, lowerbound=1253455.640898, norm of subgrad 1120.169916	dualbound = 3249083.640897, lowerbound=1253455.640898, norm of subgrad 37.493435	 stepsize= 1.000000 
-dualbound = 3249168.310236, lowerbound=1241542.310236, norm of subgrad 1114.832862	dualbound = 3249168.310236, lowerbound=1241542.310236, norm of subgrad 37.345272	 stepsize= 1.000000 
-dualbound = 3249292.158029, lowerbound=1249696.158029, norm of subgrad 1118.494595	dualbound = 3249292.158029, lowerbound=1249696.158029, norm of subgrad 38.181773	 stepsize= 1.000000 
-dualbound = 3249356.834297, lowerbound=1246390.834297, norm of subgrad 1117.043345	dualbound = 3249356.834297, lowerbound=1246390.834297, norm of subgrad 38.205710	 stepsize= 1.000000 
-dualbound = 3249485.492651, lowerbound=1253463.492651, norm of subgrad 1120.173421	dualbound = 3249485.492651, lowerbound=1253463.492651, norm of subgrad 38.126872	 stepsize= 1.000000 
-dualbound = 3249567.389841, lowerbound=1247023.389841, norm of subgrad 1117.303625	dualbound = 3249567.389841, lowerbound=1247023.389841, norm of subgrad 37.761054	 stepsize= 1.000000 
-dualbound = 3249669.541070, lowerbound=1246586.541070, norm of subgrad 1117.089317	dualbound = 3249669.541070, lowerbound=1246586.541070, norm of subgrad 37.472006	 stepsize= 1.000000 
-dualbound = 3249772.801077, lowerbound=1248906.801077, norm of subgrad 1118.140332	dualbound = 3249772.801077, lowerbound=1248906.801077, norm of subgrad 37.871625	 stepsize= 1.000000 
-dualbound = 3249868.929226, lowerbound=1251242.929226, norm of subgrad 1119.172877	dualbound = 3249868.929226, lowerbound=1251242.929226, norm of subgrad 37.431646	 stepsize= 1.000000 
-dualbound = 3249984.639309, lowerbound=1248703.639309, norm of subgrad 1118.021753	dualbound = 3249984.639309, lowerbound=1248703.639309, norm of subgrad 37.211693	 stepsize= 1.000000 
-dualbound = 3250105.073178, lowerbound=1253524.073178, norm of subgrad 1120.168324	dualbound = 3250105.073178, lowerbound=1253524.073178, norm of subgrad 37.059869	 stepsize= 1.000000 
-dualbound = 3250170.196877, lowerbound=1242678.196877, norm of subgrad 1115.331877	dualbound = 3250170.196877, lowerbound=1242678.196877, norm of subgrad 36.771235	 stepsize= 1.000000 
-dualbound = 3250259.025907, lowerbound=1250926.025907, norm of subgrad 1119.047821	dualbound = 3250259.025907, lowerbound=1250926.025907, norm of subgrad 37.826301	 stepsize= 1.000000 
-dualbound = 3250362.232159, lowerbound=1244593.232159, norm of subgrad 1116.194979	dualbound = 3250362.232159, lowerbound=1244593.232159, norm of subgrad 37.432690	 stepsize= 1.000000 
-dualbound = 3250463.792968, lowerbound=1251209.792968, norm of subgrad 1119.160754	dualbound = 3250463.792968, lowerbound=1251209.792968, norm of subgrad 37.584050	 stepsize= 1.000000 
-dualbound = 3250557.672700, lowerbound=1248239.672700, norm of subgrad 1117.830342	dualbound = 3250557.672700, lowerbound=1248239.672700, norm of subgrad 37.401601	 stepsize= 1.000000 
-dualbound = 3250651.533171, lowerbound=1255194.533171, norm of subgrad 1120.956972	dualbound = 3250651.533171, lowerbound=1255194.533171, norm of subgrad 37.998164	 stepsize= 1.000000 
-dualbound = 3250716.643660, lowerbound=1251967.643660, norm of subgrad 1119.537692	dualbound = 3250716.643660, lowerbound=1251967.643660, norm of subgrad 38.237553	 stepsize= 1.000000 
-dualbound = 3250826.603479, lowerbound=1249980.603479, norm of subgrad 1118.622190	dualbound = 3250826.603479, lowerbound=1249980.603479, norm of subgrad 38.012627	 stepsize= 1.000000 
-dualbound = 3250942.359559, lowerbound=1252248.359559, norm of subgrad 1119.613933	dualbound = 3250942.359559, lowerbound=1252248.359559, norm of subgrad 37.453385	 stepsize= 1.000000 
-dualbound = 3251043.942158, lowerbound=1248960.942158, norm of subgrad 1118.128321	dualbound = 3251043.942158, lowerbound=1248960.942158, norm of subgrad 36.763876	 stepsize= 1.000000 
-dualbound = 3251142.745055, lowerbound=1249678.745055, norm of subgrad 1118.482340	dualbound = 3251142.745055, lowerbound=1249678.745055, norm of subgrad 37.720060	 stepsize= 1.000000 
-dualbound = 3251233.288722, lowerbound=1252166.288722, norm of subgrad 1119.577281	dualbound = 3251233.288722, lowerbound=1252166.288722, norm of subgrad 37.115275	 stepsize= 1.000000 
-dualbound = 3251323.433149, lowerbound=1248892.433149, norm of subgrad 1118.113784	dualbound = 3251323.433149, lowerbound=1248892.433149, norm of subgrad 37.096421	 stepsize= 1.000000 
-dualbound = 3251447.833486, lowerbound=1251150.833486, norm of subgrad 1119.104925	dualbound = 3251447.833486, lowerbound=1251150.833486, norm of subgrad 37.005410	 stepsize= 1.000000 
-dualbound = 3251502.220623, lowerbound=1248861.220623, norm of subgrad 1118.119055	dualbound = 3251502.220623, lowerbound=1248861.220623, norm of subgrad 37.193913	 stepsize= 1.000000 
-dualbound = 3251606.504822, lowerbound=1248687.504822, norm of subgrad 1118.036451	dualbound = 3251606.504822, lowerbound=1248687.504822, norm of subgrad 37.713183	 stepsize= 1.000000 
-dualbound = 3251739.269924, lowerbound=1251211.269924, norm of subgrad 1119.125225	dualbound = 3251739.269924, lowerbound=1251211.269924, norm of subgrad 36.915648	 stepsize= 1.000000 
-dualbound = 3251814.246677, lowerbound=1250392.246677, norm of subgrad 1118.774887	dualbound = 3251814.246677, lowerbound=1250392.246677, norm of subgrad 36.605693	 stepsize= 1.000000 
-dualbound = 3251928.032579, lowerbound=1249189.032579, norm of subgrad 1118.249987	dualbound = 3251928.032579, lowerbound=1249189.032579, norm of subgrad 37.520473	 stepsize= 1.000000 
-dualbound = 3251993.260973, lowerbound=1247358.260973, norm of subgrad 1117.456156	dualbound = 3251993.260973, lowerbound=1247358.260973, norm of subgrad 37.619521	 stepsize= 1.000000 
-dualbound = 3252097.660067, lowerbound=1251661.660067, norm of subgrad 1119.350553	dualbound = 3252097.660067, lowerbound=1251661.660067, norm of subgrad 37.261228	 stepsize= 1.000000 
-dualbound = 3252214.685534, lowerbound=1254309.685534, norm of subgrad 1120.564450	dualbound = 3252214.685534, lowerbound=1254309.685534, norm of subgrad 38.366984	 stepsize= 1.000000 
-dualbound = 3252273.047332, lowerbound=1247868.047332, norm of subgrad 1117.675734	dualbound = 3252273.047332, lowerbound=1247868.047332, norm of subgrad 37.274144	 stepsize= 1.000000 
-dualbound = 3252390.940453, lowerbound=1248984.940453, norm of subgrad 1118.190029	dualbound = 3252390.940453, lowerbound=1248984.940453, norm of subgrad 38.495365	 stepsize= 1.000000 
-dualbound = 3252486.807969, lowerbound=1249856.807969, norm of subgrad 1118.549868	dualbound = 3252486.807969, lowerbound=1249856.807969, norm of subgrad 37.321140	 stepsize= 1.000000 
-dualbound = 3252615.061709, lowerbound=1253951.061709, norm of subgrad 1120.386122	dualbound = 3252615.061709, lowerbound=1253951.061709, norm of subgrad 37.977016	 stepsize= 1.000000 
-dualbound = 3252669.968081, lowerbound=1250525.968081, norm of subgrad 1118.853864	dualbound = 3252669.968081, lowerbound=1250525.968081, norm of subgrad 36.917562	 stepsize= 1.000000 
-dualbound = 3252806.825587, lowerbound=1254220.825587, norm of subgrad 1120.524353	dualbound = 3252806.825587, lowerbound=1254220.825587, norm of subgrad 38.611624	 stepsize= 1.000000 
-dualbound = 3252860.145177, lowerbound=1246666.145177, norm of subgrad 1117.144192	dualbound = 3252860.145177, lowerbound=1246666.145177, norm of subgrad 37.394112	 stepsize= 1.000000 
-dualbound = 3252958.831989, lowerbound=1250929.831989, norm of subgrad 1119.077670	dualbound = 3252958.831989, lowerbound=1250929.831989, norm of subgrad 38.777401	 stepsize= 1.000000 
-dualbound = 3253089.852859, lowerbound=1253753.852859, norm of subgrad 1120.278917	dualbound = 3253089.852859, lowerbound=1253753.852859, norm of subgrad 37.443569	 stepsize= 1.000000 
-dualbound = 3253180.181856, lowerbound=1249755.181856, norm of subgrad 1118.505781	dualbound = 3253180.181856, lowerbound=1249755.181856, norm of subgrad 37.287116	 stepsize= 1.000000 
-dualbound = 3253280.391612, lowerbound=1248254.391612, norm of subgrad 1117.831558	dualbound = 3253280.391612, lowerbound=1248254.391612, norm of subgrad 37.325725	 stepsize= 1.000000 
-dualbound = 3253361.763159, lowerbound=1252468.763159, norm of subgrad 1119.752992	dualbound = 3253361.763159, lowerbound=1252468.763159, norm of subgrad 38.201722	 stepsize= 1.000000 
-dualbound = 3253438.723069, lowerbound=1246921.723069, norm of subgrad 1117.280056	dualbound = 3253438.723069, lowerbound=1246921.723069, norm of subgrad 38.340056	 stepsize= 1.000000 
-dualbound = 3253533.412287, lowerbound=1256634.412287, norm of subgrad 1121.616874	dualbound = 3253533.412287, lowerbound=1256634.412287, norm of subgrad 38.531665	 stepsize= 1.000000 
-dualbound = 3253633.122495, lowerbound=1249527.122495, norm of subgrad 1118.399804	dualbound = 3253633.122495, lowerbound=1249527.122495, norm of subgrad 37.292227	 stepsize= 1.000000 
-dualbound = 3253769.695935, lowerbound=1249785.695935, norm of subgrad 1118.502434	dualbound = 3253769.695935, lowerbound=1249785.695935, norm of subgrad 37.397506	 stepsize= 1.000000 
-dualbound = 3253850.356092, lowerbound=1249147.356092, norm of subgrad 1118.203629	dualbound = 3253850.356092, lowerbound=1249147.356092, norm of subgrad 36.230652	 stepsize= 1.000000 
-dualbound = 3253961.067052, lowerbound=1253764.067052, norm of subgrad 1120.271872	dualbound = 3253961.067052, lowerbound=1253764.067052, norm of subgrad 36.819980	 stepsize= 1.000000 
-dualbound = 3254022.466743, lowerbound=1250371.466743, norm of subgrad 1118.790627	dualbound = 3254022.466743, lowerbound=1250371.466743, norm of subgrad 37.180636	 stepsize= 1.000000 
-dualbound = 3254135.570731, lowerbound=1252338.570731, norm of subgrad 1119.655112	dualbound = 3254135.570731, lowerbound=1252338.570731, norm of subgrad 37.444679	 stepsize= 1.000000 
-dualbound = 3254237.282441, lowerbound=1250407.282441, norm of subgrad 1118.776243	dualbound = 3254237.282441, lowerbound=1250407.282441, norm of subgrad 36.806409	 stepsize= 1.000000 
-dualbound = 3254352.341814, lowerbound=1251074.341814, norm of subgrad 1119.070302	dualbound = 3254352.341814, lowerbound=1251074.341814, norm of subgrad 36.865422	 stepsize= 1.000000 
-dualbound = 3254452.653474, lowerbound=1247816.653474, norm of subgrad 1117.628585	dualbound = 3254452.653474, lowerbound=1247816.653474, norm of subgrad 37.112150	 stepsize= 1.000000 
-dualbound = 3254523.890927, lowerbound=1253160.890927, norm of subgrad 1120.035219	dualbound = 3254523.890927, lowerbound=1253160.890927, norm of subgrad 37.272476	 stepsize= 1.000000 
-dualbound = 3254611.395623, lowerbound=1253421.395623, norm of subgrad 1120.164897	dualbound = 3254611.395623, lowerbound=1253421.395623, norm of subgrad 37.888055	 stepsize= 1.000000 
-dualbound = 3254706.001943, lowerbound=1252878.001943, norm of subgrad 1119.921873	dualbound = 3254706.001943, lowerbound=1252878.001943, norm of subgrad 37.968491	 stepsize= 1.000000 
-dualbound = 3254816.359812, lowerbound=1249509.359812, norm of subgrad 1118.391416	dualbound = 3254816.359812, lowerbound=1249509.359812, norm of subgrad 37.421356	 stepsize= 1.000000 
-dualbound = 3254914.721863, lowerbound=1249903.721863, norm of subgrad 1118.579779	dualbound = 3254914.721863, lowerbound=1249903.721863, norm of subgrad 37.621298	 stepsize= 1.000000 
-dualbound = 3254988.995617, lowerbound=1248179.995617, norm of subgrad 1117.832275	dualbound = 3254988.995617, lowerbound=1248179.995617, norm of subgrad 37.990443	 stepsize= 1.000000 
-dualbound = 3255094.595267, lowerbound=1249732.595267, norm of subgrad 1118.521164	dualbound = 3255094.595267, lowerbound=1249732.595267, norm of subgrad 38.243949	 stepsize= 1.000000 
-dualbound = 3255182.204738, lowerbound=1251592.204738, norm of subgrad 1119.321761	dualbound = 3255182.204738, lowerbound=1251592.204738, norm of subgrad 37.102688	 stepsize= 1.000000 
-dualbound = 3255325.829025, lowerbound=1254058.829025, norm of subgrad 1120.428859	dualbound = 3255325.829025, lowerbound=1254058.829025, norm of subgrad 38.021366	 stepsize= 1.000000 
-dualbound = 3255395.727930, lowerbound=1244716.727931, norm of subgrad 1116.284340	dualbound = 3255395.727930, lowerbound=1244716.727931, norm of subgrad 37.998670	 stepsize= 1.000000 
-dualbound = 3255477.607797, lowerbound=1249833.607797, norm of subgrad 1118.541286	dualbound = 3255477.607797, lowerbound=1249833.607797, norm of subgrad 37.187093	 stepsize= 1.000000 
-dualbound = 3255602.435756, lowerbound=1251766.435756, norm of subgrad 1119.415220	dualbound = 3255602.435756, lowerbound=1251766.435756, norm of subgrad 38.063473	 stepsize= 1.000000 
-dualbound = 3255707.159425, lowerbound=1251535.159425, norm of subgrad 1119.282877	dualbound = 3255707.159425, lowerbound=1251535.159425, norm of subgrad 36.928629	 stepsize= 1.000000 
-dualbound = 3255776.888075, lowerbound=1252401.888075, norm of subgrad 1119.700803	dualbound = 3255776.888075, lowerbound=1252401.888075, norm of subgrad 37.386209	 stepsize= 1.000000 
-dualbound = 3255890.106387, lowerbound=1247175.106387, norm of subgrad 1117.345115	dualbound = 3255890.106387, lowerbound=1247175.106387, norm of subgrad 37.392757	 stepsize= 1.000000 
-dualbound = 3255986.312413, lowerbound=1255444.312413, norm of subgrad 1121.022441	dualbound = 3255986.312413, lowerbound=1255444.312413, norm of subgrad 36.649775	 stepsize= 1.000000 
-dualbound = 3256078.111046, lowerbound=1247793.111046, norm of subgrad 1117.643553	dualbound = 3256078.111046, lowerbound=1247793.111046, norm of subgrad 37.759749	 stepsize= 1.000000 
-dualbound = 3256151.653330, lowerbound=1253903.653330, norm of subgrad 1120.366303	dualbound = 3256151.653330, lowerbound=1253903.653330, norm of subgrad 37.289976	 stepsize= 1.000000 
-dualbound = 3256269.384245, lowerbound=1248517.384245, norm of subgrad 1117.943820	dualbound = 3256269.384245, lowerbound=1248517.384245, norm of subgrad 37.399611	 stepsize= 1.000000 
-dualbound = 3256367.639766, lowerbound=1251571.639766, norm of subgrad 1119.306767	dualbound = 3256367.639766, lowerbound=1251571.639766, norm of subgrad 37.070953	 stepsize= 1.000000 
-dualbound = 3256475.813715, lowerbound=1247898.813715, norm of subgrad 1117.676525	dualbound = 3256475.813715, lowerbound=1247898.813715, norm of subgrad 37.552283	 stepsize= 1.000000 
-dualbound = 3256550.041067, lowerbound=1254324.041067, norm of subgrad 1120.548545	dualbound = 3256550.041067, lowerbound=1254324.041067, norm of subgrad 37.137950	 stepsize= 1.000000 
-dualbound = 3256667.843475, lowerbound=1248931.843475, norm of subgrad 1118.155107	dualbound = 3256667.843475, lowerbound=1248931.843475, norm of subgrad 38.168081	 stepsize= 1.000000 
-dualbound = 3256750.863033, lowerbound=1253861.863033, norm of subgrad 1120.335603	dualbound = 3256750.863033, lowerbound=1253861.863033, norm of subgrad 37.054279	 stepsize= 1.000000 
-dualbound = 3256866.643145, lowerbound=1246694.643145, norm of subgrad 1117.130540	dualbound = 3256866.643145, lowerbound=1246694.643145, norm of subgrad 37.440354	 stepsize= 1.000000 
-dualbound = 3256962.259214, lowerbound=1253389.259214, norm of subgrad 1120.130912	dualbound = 3256962.259214, lowerbound=1253389.259214, norm of subgrad 37.411443	 stepsize= 1.000000 
-dualbound = 3257041.111023, lowerbound=1248723.111023, norm of subgrad 1118.051480	dualbound = 3257041.111023, lowerbound=1248723.111023, norm of subgrad 37.347715	 stepsize= 1.000000 
-dualbound = 3257140.956664, lowerbound=1254270.956664, norm of subgrad 1120.489606	dualbound = 3257140.956664, lowerbound=1254270.956664, norm of subgrad 36.412163	 stepsize= 1.000000 
-dualbound = 3257270.523885, lowerbound=1250568.523885, norm of subgrad 1118.868412	dualbound = 3257270.523885, lowerbound=1250568.523885, norm of subgrad 37.783161	 stepsize= 1.000000 
-dualbound = 3257332.455739, lowerbound=1252495.455739, norm of subgrad 1119.711327	dualbound = 3257332.455739, lowerbound=1252495.455739, norm of subgrad 36.330866	 stepsize= 1.000000 
-dualbound = 3257468.867064, lowerbound=1250159.867064, norm of subgrad 1118.675497	dualbound = 3257468.867064, lowerbound=1250159.867064, norm of subgrad 37.568755	 stepsize= 1.000000 
-dualbound = 3257538.072152, lowerbound=1252306.072152, norm of subgrad 1119.660249	dualbound = 3257538.072152, lowerbound=1252306.072152, norm of subgrad 37.446029	 stepsize= 1.000000 
-dualbound = 3257634.898562, lowerbound=1251001.898562, norm of subgrad 1119.070998	dualbound = 3257634.898562, lowerbound=1251001.898562, norm of subgrad 37.614178	 stepsize= 1.000000 
-dualbound = 3257710.124971, lowerbound=1251845.124971, norm of subgrad 1119.473146	dualbound = 3257710.124971, lowerbound=1251845.124971, norm of subgrad 38.081838	 stepsize= 1.000000 
-dualbound = 3257796.456544, lowerbound=1251747.456544, norm of subgrad 1119.419696	dualbound = 3257796.456544, lowerbound=1251747.456544, norm of subgrad 37.938524	 stepsize= 1.000000 
-dualbound = 3257925.802091, lowerbound=1249946.802091, norm of subgrad 1118.580262	dualbound = 3257925.802091, lowerbound=1249946.802091, norm of subgrad 37.474599	 stepsize= 1.000000 
-dualbound = 3258023.422742, lowerbound=1250844.422742, norm of subgrad 1119.009125	dualbound = 3258023.422742, lowerbound=1250844.422742, norm of subgrad 37.876386	 stepsize= 1.000000 
-dualbound = 3258121.587082, lowerbound=1251387.587082, norm of subgrad 1119.225887	dualbound = 3258121.587082, lowerbound=1251387.587082, norm of subgrad 37.110165	 stepsize= 1.000000 
-dualbound = 3258235.470948, lowerbound=1248928.470948, norm of subgrad 1118.128110	dualbound = 3258235.470948, lowerbound=1248928.470948, norm of subgrad 37.361529	 stepsize= 1.000000 
-dualbound = 3258314.114999, lowerbound=1252847.114999, norm of subgrad 1119.886206	dualbound = 3258314.114999, lowerbound=1252847.114999, norm of subgrad 37.103154	 stepsize= 1.000000 
-dualbound = 3258420.067042, lowerbound=1251273.067042, norm of subgrad 1119.180534	dualbound = 3258420.067042, lowerbound=1251273.067042, norm of subgrad 37.389197	 stepsize= 1.000000 
-dualbound = 3258496.287299, lowerbound=1253656.287299, norm of subgrad 1120.260812	dualbound = 3258496.287299, lowerbound=1253656.287299, norm of subgrad 37.472927	 stepsize= 1.000000 
-dualbound = 3258599.820096, lowerbound=1250313.820096, norm of subgrad 1118.776484	dualbound = 3258599.820096, lowerbound=1250313.820096, norm of subgrad 38.085861	 stepsize= 1.000000 
-dualbound = 3258665.374168, lowerbound=1251522.374168, norm of subgrad 1119.341491	dualbound = 3258665.374168, lowerbound=1251522.374168, norm of subgrad 38.321718	 stepsize= 1.000000 
-dualbound = 3258768.929865, lowerbound=1247587.929865, norm of subgrad 1117.573680	dualbound = 3258768.929865, lowerbound=1247587.929865, norm of subgrad 38.555878	 stepsize= 1.000000 
-dualbound = 3258886.876660, lowerbound=1252333.876660, norm of subgrad 1119.692760	dualbound = 3258886.876660, lowerbound=1252333.876660, norm of subgrad 38.677471	 stepsize= 1.000000 
-dualbound = 3258956.743856, lowerbound=1251196.743856, norm of subgrad 1119.162966	dualbound = 3258956.743856, lowerbound=1251196.743856, norm of subgrad 37.401433	 stepsize= 1.000000 
-dualbound = 3259086.682494, lowerbound=1252075.682494, norm of subgrad 1119.518951	dualbound = 3259086.682494, lowerbound=1252075.682494, norm of subgrad 37.107124	 stepsize= 1.000000 
-dualbound = 3259180.936273, lowerbound=1250971.936273, norm of subgrad 1119.047781	dualbound = 3259180.936273, lowerbound=1250971.936273, norm of subgrad 37.286107	 stepsize= 1.000000 
-dualbound = 3259260.032414, lowerbound=1255492.032414, norm of subgrad 1121.079851	dualbound = 3259260.032414, lowerbound=1255492.032414, norm of subgrad 37.511280	 stepsize= 1.000000 
-dualbound = 3259375.183137, lowerbound=1250765.183137, norm of subgrad 1118.944674	dualbound = 3259375.183137, lowerbound=1250765.183137, norm of subgrad 37.244472	 stepsize= 1.000000 
-dualbound = 3259479.682482, lowerbound=1252297.682482, norm of subgrad 1119.614524	dualbound = 3259479.682482, lowerbound=1252297.682482, norm of subgrad 36.653777	 stepsize= 1.000000 
-dualbound = 3259555.704167, lowerbound=1243935.704167, norm of subgrad 1115.894576	dualbound = 3259555.704167, lowerbound=1243935.704167, norm of subgrad 36.892027	 stepsize= 1.000000 
-dualbound = 3259678.631501, lowerbound=1252931.631501, norm of subgrad 1119.930637	dualbound = 3259678.631501, lowerbound=1252931.631501, norm of subgrad 37.893632	 stepsize= 1.000000 
-dualbound = 3259749.134490, lowerbound=1246358.134490, norm of subgrad 1116.983498	dualbound = 3259749.134490, lowerbound=1246358.134490, norm of subgrad 36.939180	 stepsize= 1.000000 
-dualbound = 3259840.190207, lowerbound=1255357.190207, norm of subgrad 1120.983582	dualbound = 3259840.190207, lowerbound=1255357.190207, norm of subgrad 36.579444	 stepsize= 1.000000 
-dualbound = 3259938.700820, lowerbound=1251713.700820, norm of subgrad 1119.401046	dualbound = 3259938.700820, lowerbound=1251713.700820, norm of subgrad 37.993560	 stepsize= 1.000000 
-dualbound = 3260040.197366, lowerbound=1255055.197366, norm of subgrad 1120.879653	dualbound = 3260040.197366, lowerbound=1255055.197366, norm of subgrad 37.649655	 stepsize= 1.000000 
-dualbound = 3260141.134623, lowerbound=1245360.134623, norm of subgrad 1116.555478	dualbound = 3260141.134623, lowerbound=1245360.134623, norm of subgrad 37.906955	 stepsize= 1.000000 
-dualbound = 3260221.191984, lowerbound=1256257.191984, norm of subgrad 1121.427301	dualbound = 3260221.191984, lowerbound=1256257.191984, norm of subgrad 37.710176	 stepsize= 1.000000 
-dualbound = 3260334.240039, lowerbound=1250181.240039, norm of subgrad 1118.696670	dualbound = 3260334.240039, lowerbound=1250181.240039, norm of subgrad 37.603830	 stepsize= 1.000000 
-dualbound = 3260447.011684, lowerbound=1254374.011684, norm of subgrad 1120.578427	dualbound = 3260447.011684, lowerbound=1254374.011684, norm of subgrad 37.878380	 stepsize= 1.000000 
-dualbound = 3260532.788387, lowerbound=1248767.788387, norm of subgrad 1118.074143	dualbound = 3260532.788387, lowerbound=1248767.788387, norm of subgrad 37.520351	 stepsize= 1.000000 
-dualbound = 3260610.498064, lowerbound=1251113.498064, norm of subgrad 1119.143645	dualbound = 3260610.498064, lowerbound=1251113.498064, norm of subgrad 38.035637	 stepsize= 1.000000 
-dualbound = 3260704.854471, lowerbound=1249197.854471, norm of subgrad 1118.274499	dualbound = 3260704.854471, lowerbound=1249197.854471, norm of subgrad 37.872898	 stepsize= 1.000000 
-dualbound = 3260811.498761, lowerbound=1253384.498761, norm of subgrad 1120.122537	dualbound = 3260811.498761, lowerbound=1253384.498761, norm of subgrad 37.371704	 stepsize= 1.000000 
-dualbound = 3260933.916289, lowerbound=1255509.916289, norm of subgrad 1121.083813	dualbound = 3260933.916289, lowerbound=1255509.916289, norm of subgrad 37.966005	 stepsize= 1.000000 
-dualbound = 3261020.896293, lowerbound=1247375.896293, norm of subgrad 1117.418854	dualbound = 3261020.896293, lowerbound=1247375.896293, norm of subgrad 36.551060	 stepsize= 1.000000 
-dualbound = 3261095.528448, lowerbound=1251013.528448, norm of subgrad 1119.062343	dualbound = 3261095.528448, lowerbound=1251013.528448, norm of subgrad 36.900300	 stepsize= 1.000000 
-dualbound = 3261213.335766, lowerbound=1251318.335766, norm of subgrad 1119.201651	dualbound = 3261213.335766, lowerbound=1251318.335766, norm of subgrad 37.574025	 stepsize= 1.000000 
-dualbound = 3261318.629760, lowerbound=1255130.629760, norm of subgrad 1120.882523	dualbound = 3261318.629760, lowerbound=1255130.629760, norm of subgrad 36.773550	 stepsize= 1.000000 
-dualbound = 3261398.975964, lowerbound=1247672.975964, norm of subgrad 1117.576832	dualbound = 3261398.975964, lowerbound=1247672.975964, norm of subgrad 37.220239	 stepsize= 1.000000 
-dualbound = 3261482.174704, lowerbound=1249921.174704, norm of subgrad 1118.559866	dualbound = 3261482.174704, lowerbound=1249921.174704, norm of subgrad 36.581399	 stepsize= 1.000000 
-dualbound = 3261584.957112, lowerbound=1251812.957112, norm of subgrad 1119.433766	dualbound = 3261584.957112, lowerbound=1251812.957112, norm of subgrad 37.706530	 stepsize= 1.000000 
-dualbound = 3261674.533831, lowerbound=1251573.533831, norm of subgrad 1119.321015	dualbound = 3261674.533831, lowerbound=1251573.533831, norm of subgrad 37.357419	 stepsize= 1.000000 
-dualbound = 3261781.238130, lowerbound=1245075.238130, norm of subgrad 1116.417591	dualbound = 3261781.238130, lowerbound=1245075.238130, norm of subgrad 37.678964	 stepsize= 1.000000 
-dualbound = 3261883.930358, lowerbound=1251393.930358, norm of subgrad 1119.231402	dualbound = 3261883.930358, lowerbound=1251393.930358, norm of subgrad 37.251741	 stepsize= 1.000000 
-dualbound = 3261970.349444, lowerbound=1248321.349444, norm of subgrad 1117.853903	dualbound = 3261970.349444, lowerbound=1248321.349444, norm of subgrad 36.910962	 stepsize= 1.000000 
-dualbound = 3262088.129691, lowerbound=1254516.129691, norm of subgrad 1120.642731	dualbound = 3262088.129691, lowerbound=1254516.129691, norm of subgrad 37.970781	 stepsize= 1.000000 
-dualbound = 3262137.462100, lowerbound=1255103.462100, norm of subgrad 1120.910550	dualbound = 3262137.462100, lowerbound=1255103.462100, norm of subgrad 37.233485	 stepsize= 1.000000 
-dualbound = 3262244.633916, lowerbound=1252880.633916, norm of subgrad 1119.898939	dualbound = 3262244.633916, lowerbound=1252880.633916, norm of subgrad 37.418870	 stepsize= 1.000000 
-dualbound = 3262361.910195, lowerbound=1249373.910195, norm of subgrad 1118.325494	dualbound = 3262361.910195, lowerbound=1249373.910195, norm of subgrad 37.353397	 stepsize= 1.000000 
-dualbound = 3262449.305303, lowerbound=1251831.305303, norm of subgrad 1119.408909	dualbound = 3262449.305303, lowerbound=1251831.305303, norm of subgrad 36.501988	 stepsize= 1.000000 
-dualbound = 3262571.934698, lowerbound=1253603.934698, norm of subgrad 1120.199953	dualbound = 3262571.934698, lowerbound=1253603.934698, norm of subgrad 36.967951	 stepsize= 1.000000 
-dualbound = 3262650.106211, lowerbound=1252692.106211, norm of subgrad 1119.806727	dualbound = 3262650.106211, lowerbound=1252692.106211, norm of subgrad 36.785480	 stepsize= 1.000000 
-dualbound = 3262748.034122, lowerbound=1252048.034122, norm of subgrad 1119.513749	dualbound = 3262748.034122, lowerbound=1252048.034122, norm of subgrad 36.890756	 stepsize= 1.000000 
-dualbound = 3262856.713810, lowerbound=1250524.713810, norm of subgrad 1118.835427	dualbound = 3262856.713810, lowerbound=1250524.713810, norm of subgrad 37.103634	 stepsize= 1.000000 
-dualbound = 3262941.417957, lowerbound=1249921.417957, norm of subgrad 1118.555952	dualbound = 3262941.417957, lowerbound=1249921.417957, norm of subgrad 36.478818	 stepsize= 1.000000 
-dualbound = 3263029.624296, lowerbound=1252651.624296, norm of subgrad 1119.823479	dualbound = 3263029.624296, lowerbound=1252651.624296, norm of subgrad 37.963224	 stepsize= 1.000000 
-dualbound = 3263100.951785, lowerbound=1251035.951785, norm of subgrad 1119.092915	dualbound = 3263100.951785, lowerbound=1251035.951785, norm of subgrad 37.474358	 stepsize= 1.000000 
-dualbound = 3263224.841798, lowerbound=1251081.841798, norm of subgrad 1119.083930	dualbound = 3263224.841798, lowerbound=1251081.841798, norm of subgrad 37.294638	 stepsize= 1.000000 
-dualbound = 3263312.413276, lowerbound=1248932.413276, norm of subgrad 1118.141500	dualbound = 3263312.413276, lowerbound=1248932.413276, norm of subgrad 37.357348	 stepsize= 1.000000 
-dualbound = 3263414.097550, lowerbound=1249385.097550, norm of subgrad 1118.335861	dualbound = 3263414.097550, lowerbound=1249385.097550, norm of subgrad 37.305285	 stepsize= 1.000000 
-dualbound = 3263516.132247, lowerbound=1250875.132247, norm of subgrad 1119.027315	dualbound = 3263516.132247, lowerbound=1250875.132247, norm of subgrad 38.066188	 stepsize= 1.000000 
-dualbound = 3263608.958867, lowerbound=1254459.958867, norm of subgrad 1120.586435	dualbound = 3263608.958867, lowerbound=1254459.958867, norm of subgrad 36.699136	 stepsize= 1.000000 
-dualbound = 3263697.943110, lowerbound=1250167.943110, norm of subgrad 1118.690280	dualbound = 3263697.943110, lowerbound=1250167.943110, norm of subgrad 37.269079	 stepsize= 1.000000 
-dualbound = 3263795.814676, lowerbound=1251528.814676, norm of subgrad 1119.313099	dualbound = 3263795.814676, lowerbound=1251528.814676, norm of subgrad 37.826863	 stepsize= 1.000000 
-dualbound = 3263870.948012, lowerbound=1254877.948012, norm of subgrad 1120.832703	dualbound = 3263870.948012, lowerbound=1254877.948012, norm of subgrad 38.250926	 stepsize= 1.000000 
-dualbound = 3263971.341493, lowerbound=1250399.341493, norm of subgrad 1118.808000	dualbound = 3263971.341493, lowerbound=1250399.341493, norm of subgrad 37.846975	 stepsize= 1.000000 
-dualbound = 3264067.098547, lowerbound=1252665.098547, norm of subgrad 1119.825477	dualbound = 3264067.098547, lowerbound=1252665.098547, norm of subgrad 37.944131	 stepsize= 1.000000 
-dualbound = 3264170.066250, lowerbound=1250456.066250, norm of subgrad 1118.804749	dualbound = 3264170.066250, lowerbound=1250456.066250, norm of subgrad 37.026581	 stepsize= 1.000000 
-dualbound = 3264275.272676, lowerbound=1250765.272676, norm of subgrad 1118.945161	dualbound = 3264275.272676, lowerbound=1250765.272676, norm of subgrad 37.124203	 stepsize= 1.000000 
-dualbound = 3264375.572105, lowerbound=1256644.572105, norm of subgrad 1121.560329	dualbound = 3264375.572105, lowerbound=1256644.572105, norm of subgrad 36.787218	 stepsize= 1.000000 
-dualbound = 3264462.454854, lowerbound=1251451.454854, norm of subgrad 1119.244144	dualbound = 3264462.454854, lowerbound=1251451.454854, norm of subgrad 36.645365	 stepsize= 1.000000 
-dualbound = 3264555.890772, lowerbound=1256590.890772, norm of subgrad 1121.556905	dualbound = 3264555.890772, lowerbound=1256590.890772, norm of subgrad 37.315358	 stepsize= 1.000000 
-dualbound = 3264672.531790, lowerbound=1247124.531790, norm of subgrad 1117.305031	dualbound = 3264672.531790, lowerbound=1247124.531790, norm of subgrad 36.913968	 stepsize= 1.000000 
-dualbound = 3264747.930303, lowerbound=1253652.930303, norm of subgrad 1120.240122	dualbound = 3264747.930303, lowerbound=1253652.930303, norm of subgrad 36.883581	 stepsize= 1.000000 
-dualbound = 3264850.927408, lowerbound=1255448.927408, norm of subgrad 1121.024945	dualbound = 3264850.927408, lowerbound=1255448.927408, norm of subgrad 36.755913	 stepsize= 1.000000 
-dualbound = 3264936.467578, lowerbound=1255587.467578, norm of subgrad 1121.092087	dualbound = 3264936.467578, lowerbound=1255587.467578, norm of subgrad 36.681605	 stepsize= 1.000000 
-dualbound = 3265030.871110, lowerbound=1250072.871110, norm of subgrad 1118.655832	dualbound = 3265030.871110, lowerbound=1250072.871110, norm of subgrad 37.581958	 stepsize= 1.000000 
-dualbound = 3265131.021935, lowerbound=1256740.021935, norm of subgrad 1121.636314	dualbound = 3265131.021935, lowerbound=1256740.021935, norm of subgrad 37.790883	 stepsize= 1.000000 
-dualbound = 3265214.478506, lowerbound=1247765.478506, norm of subgrad 1117.598979	dualbound = 3265214.478506, lowerbound=1247765.478506, norm of subgrad 36.680466	 stepsize= 1.000000 
-dualbound = 3265334.138107, lowerbound=1254490.138107, norm of subgrad 1120.601240	dualbound = 3265334.138107, lowerbound=1254490.138107, norm of subgrad 37.103364	 stepsize= 1.000000 
-dualbound = 3265430.033410, lowerbound=1250883.033410, norm of subgrad 1118.987951	dualbound = 3265430.033410, lowerbound=1250883.033410, norm of subgrad 36.700072	 stepsize= 1.000000 
-dualbound = 3265517.277392, lowerbound=1255955.277392, norm of subgrad 1121.266372	dualbound = 3265517.277392, lowerbound=1255955.277392, norm of subgrad 37.016807	 stepsize= 1.000000 
-dualbound = 3265610.991241, lowerbound=1250872.991241, norm of subgrad 1118.983463	dualbound = 3265610.991241, lowerbound=1250872.991241, norm of subgrad 36.670340	 stepsize= 1.000000 
-dualbound = 3265705.673203, lowerbound=1251422.673203, norm of subgrad 1119.247369	dualbound = 3265705.673203, lowerbound=1251422.673203, norm of subgrad 37.238179	 stepsize= 1.000000 
-dualbound = 3265797.455557, lowerbound=1246801.455557, norm of subgrad 1117.185506	dualbound = 3265797.455557, lowerbound=1246801.455557, norm of subgrad 37.333395	 stepsize= 1.000000 
-dualbound = 3265907.585243, lowerbound=1255494.585243, norm of subgrad 1121.091248	dualbound = 3265907.585243, lowerbound=1255494.585243, norm of subgrad 38.224726	 stepsize= 1.000000 
-dualbound = 3265966.404998, lowerbound=1254269.404998, norm of subgrad 1120.536213	dualbound = 3265966.404998, lowerbound=1254269.404998, norm of subgrad 37.293696	 stepsize= 1.000000 
-dualbound = 3266064.314087, lowerbound=1256716.314087, norm of subgrad 1121.654276	dualbound = 3266064.314087, lowerbound=1256716.314087, norm of subgrad 38.599341	 stepsize= 1.000000 
-dualbound = 3266153.512960, lowerbound=1252035.512960, norm of subgrad 1119.549245	dualbound = 3266153.512960, lowerbound=1252035.512960, norm of subgrad 38.002617	 stepsize= 1.000000 
-dualbound = 3266258.707549, lowerbound=1255259.707549, norm of subgrad 1120.965971	dualbound = 3266258.707549, lowerbound=1255259.707549, norm of subgrad 37.552558	 stepsize= 1.000000 
-dualbound = 3266358.619629, lowerbound=1251893.619629, norm of subgrad 1119.435402	dualbound = 3266358.619629, lowerbound=1251893.619629, norm of subgrad 36.632118	 stepsize= 1.000000 
-dualbound = 3266483.233031, lowerbound=1252023.233031, norm of subgrad 1119.503565	dualbound = 3266483.233031, lowerbound=1252023.233031, norm of subgrad 37.277519	 stepsize= 1.000000 
-dualbound = 3266551.603358, lowerbound=1250086.603358, norm of subgrad 1118.639175	dualbound = 3266551.603358, lowerbound=1250086.603358, norm of subgrad 36.542719	 stepsize= 1.000000 
-dualbound = 3266652.233574, lowerbound=1252482.233574, norm of subgrad 1119.721498	dualbound = 3266652.233574, lowerbound=1252482.233574, norm of subgrad 37.344748	 stepsize= 1.000000 
-dualbound = 3266745.675239, lowerbound=1250180.675239, norm of subgrad 1118.676305	dualbound = 3266745.675239, lowerbound=1250180.675239, norm of subgrad 36.734747	 stepsize= 1.000000 
-dualbound = 3266864.403031, lowerbound=1254266.403031, norm of subgrad 1120.505869	dualbound = 3266864.403031, lowerbound=1254266.403031, norm of subgrad 37.225365	 stepsize= 1.000000 
-dualbound = 3266904.462580, lowerbound=1250609.462580, norm of subgrad 1118.889835	dualbound = 3266904.462580, lowerbound=1250609.462580, norm of subgrad 36.675054	 stepsize= 1.000000 
-dualbound = 3267032.358082, lowerbound=1252695.358082, norm of subgrad 1119.809519	dualbound = 3267032.358082, lowerbound=1252695.358082, norm of subgrad 37.495273	 stepsize= 1.000000 
-dualbound = 3267114.758849, lowerbound=1250274.758849, norm of subgrad 1118.724166	dualbound = 3267114.758849, lowerbound=1250274.758849, norm of subgrad 36.761403	 stepsize= 1.000000 
-dualbound = 3267228.126665, lowerbound=1253201.126665, norm of subgrad 1120.043806	dualbound = 3267228.126665, lowerbound=1253201.126665, norm of subgrad 37.554864	 stepsize= 1.000000 
-dualbound = 3267274.299161, lowerbound=1253501.299161, norm of subgrad 1120.211274	dualbound = 3267274.299161, lowerbound=1253501.299161, norm of subgrad 37.658631	 stepsize= 1.000000 
-dualbound = 3267418.923705, lowerbound=1251071.923705, norm of subgrad 1119.113454	dualbound = 3267418.923705, lowerbound=1251071.923705, norm of subgrad 38.569736	 stepsize= 1.000000 
-dualbound = 3267466.484863, lowerbound=1254415.484863, norm of subgrad 1120.631289	dualbound = 3267466.484863, lowerbound=1254415.484863, norm of subgrad 38.033685	 stepsize= 1.000000 
-dualbound = 3267573.449827, lowerbound=1253979.449827, norm of subgrad 1120.398344	dualbound = 3267573.449827, lowerbound=1253979.449827, norm of subgrad 37.682422	 stepsize= 1.000000 
-dualbound = 3267687.062816, lowerbound=1252638.062816, norm of subgrad 1119.777238	dualbound = 3267687.062816, lowerbound=1252638.062816, norm of subgrad 37.102736	 stepsize= 1.000000 
-dualbound = 3267800.607562, lowerbound=1250406.607562, norm of subgrad 1118.788455	dualbound = 3267800.607562, lowerbound=1250406.607562, norm of subgrad 37.343604	 stepsize= 1.000000 
-dualbound = 3267866.896203, lowerbound=1255325.896203, norm of subgrad 1120.980774	dualbound = 3267866.896203, lowerbound=1255325.896203, norm of subgrad 36.582628	 stepsize= 1.000000 
-dualbound = 3267992.409609, lowerbound=1252720.409609, norm of subgrad 1119.838118	dualbound = 3267992.409609, lowerbound=1252720.409609, norm of subgrad 37.980435	 stepsize= 1.000000 
-dualbound = 3268065.386304, lowerbound=1254137.386304, norm of subgrad 1120.463469	dualbound = 3268065.386304, lowerbound=1254137.386304, norm of subgrad 37.067192	 stepsize= 1.000000 
-dualbound = 3268173.374807, lowerbound=1252984.374807, norm of subgrad 1119.940791	dualbound = 3268173.374807, lowerbound=1252984.374807, norm of subgrad 37.295958	 stepsize= 1.000000 
-dualbound = 3268266.179150, lowerbound=1249043.179150, norm of subgrad 1118.183875	dualbound = 3268266.179150, lowerbound=1249043.179150, norm of subgrad 37.212959	 stepsize= 1.000000 
-dualbound = 3268362.260497, lowerbound=1253581.260497, norm of subgrad 1120.225986	dualbound = 3268362.260497, lowerbound=1253581.260497, norm of subgrad 37.697233	 stepsize= 1.000000 
-dualbound = 3268425.070560, lowerbound=1248455.070560, norm of subgrad 1117.950388	dualbound = 3268425.070560, lowerbound=1248455.070560, norm of subgrad 37.693634	 stepsize= 1.000000 
-dualbound = 3268536.959167, lowerbound=1253428.959167, norm of subgrad 1120.158453	dualbound = 3268536.959167, lowerbound=1253428.959167, norm of subgrad 37.919502	 stepsize= 1.000000 
-dualbound = 3268633.852017, lowerbound=1251621.852017, norm of subgrad 1119.313563	dualbound = 3268633.852017, lowerbound=1251621.852017, norm of subgrad 36.577218	 stepsize= 1.000000 
-dualbound = 3268769.199122, lowerbound=1254939.199122, norm of subgrad 1120.810510	dualbound = 3268769.199122, lowerbound=1254939.199122, norm of subgrad 37.581207	 stepsize= 1.000000 
-dualbound = 3268828.783246, lowerbound=1248208.783246, norm of subgrad 1117.801764	dualbound = 3268828.783246, lowerbound=1248208.783246, norm of subgrad 36.490877	 stepsize= 1.000000 
-dualbound = 3268938.829898, lowerbound=1254436.829898, norm of subgrad 1120.586824	dualbound = 3268938.829898, lowerbound=1254436.829898, norm of subgrad 37.256498	 stepsize= 1.000000 
-dualbound = 3269038.241647, lowerbound=1253450.241647, norm of subgrad 1120.141170	dualbound = 3269038.241647, lowerbound=1253450.241647, norm of subgrad 36.951478	 stepsize= 1.000000 
-dualbound = 3269133.368174, lowerbound=1258250.368174, norm of subgrad 1122.328993	dualbound = 3269133.368174, lowerbound=1258250.368174, norm of subgrad 38.303088	 stepsize= 1.000000 
-dualbound = 3269163.784085, lowerbound=1245005.784085, norm of subgrad 1116.407535	dualbound = 3269163.784085, lowerbound=1245005.784085, norm of subgrad 37.288281	 stepsize= 1.000000 
-dualbound = 3269300.645025, lowerbound=1254212.645025, norm of subgrad 1120.489913	dualbound = 3269300.645025, lowerbound=1254212.645025, norm of subgrad 37.707571	 stepsize= 1.000000 
-dualbound = 3269390.924142, lowerbound=1247424.924142, norm of subgrad 1117.464059	dualbound = 3269390.924142, lowerbound=1247424.924142, norm of subgrad 37.299854	 stepsize= 1.000000 
-dualbound = 3269515.266483, lowerbound=1250935.266483, norm of subgrad 1119.023801	dualbound = 3269515.266483, lowerbound=1250935.266483, norm of subgrad 37.461211	 stepsize= 1.000000 
-dualbound = 3269595.432874, lowerbound=1256290.432874, norm of subgrad 1121.452377	dualbound = 3269595.432874, lowerbound=1256290.432874, norm of subgrad 38.015344	 stepsize= 1.000000 
-dualbound = 3269667.215754, lowerbound=1254063.215754, norm of subgrad 1120.449560	dualbound = 3269667.215754, lowerbound=1254063.215754, norm of subgrad 37.626890	 stepsize= 1.000000 
-dualbound = 3269772.368669, lowerbound=1252755.368669, norm of subgrad 1119.855512	dualbound = 3269772.368669, lowerbound=1252755.368669, norm of subgrad 37.764440	 stepsize= 1.000000 
-dualbound = 3269887.369227, lowerbound=1254484.369227, norm of subgrad 1120.610713	dualbound = 3269887.369227, lowerbound=1254484.369227, norm of subgrad 37.403216	 stepsize= 1.000000 
-dualbound = 3269969.498535, lowerbound=1256869.498535, norm of subgrad 1121.707403	dualbound = 3269969.498535, lowerbound=1256869.498535, norm of subgrad 37.949036	 stepsize= 1.000000 
-dualbound = 3270055.919365, lowerbound=1255808.919365, norm of subgrad 1121.200214	dualbound = 3270055.919365, lowerbound=1255808.919365, norm of subgrad 36.978654	 stepsize= 1.000000 
-dualbound = 3270143.909752, lowerbound=1252585.909752, norm of subgrad 1119.770472	dualbound = 3270143.909752, lowerbound=1252585.909752, norm of subgrad 37.255743	 stepsize= 1.000000 
-dualbound = 3270270.960899, lowerbound=1251366.960899, norm of subgrad 1119.222481	dualbound = 3270270.960899, lowerbound=1251366.960899, norm of subgrad 37.670295	 stepsize= 1.000000 
-dualbound = 3270357.409918, lowerbound=1253099.409918, norm of subgrad 1119.988576	dualbound = 3270357.409918, lowerbound=1253099.409918, norm of subgrad 36.897819	 stepsize= 1.000000 
-dualbound = 3270457.995482, lowerbound=1252659.995482, norm of subgrad 1119.810696	dualbound = 3270457.995482, lowerbound=1252659.995482, norm of subgrad 37.637555	 stepsize= 1.000000 
-dualbound = 3270541.604799, lowerbound=1251640.604799, norm of subgrad 1119.327747	dualbound = 3270541.604799, lowerbound=1251640.604799, norm of subgrad 36.573342	 stepsize= 1.000000 
-dualbound = 3270666.664058, lowerbound=1254743.664058, norm of subgrad 1120.746922	dualbound = 3270666.664058, lowerbound=1254743.664058, norm of subgrad 38.145239	 stepsize= 1.000000 
-dualbound = 3270720.078447, lowerbound=1253703.078447, norm of subgrad 1120.254024	dualbound = 3270720.078447, lowerbound=1253703.078447, norm of subgrad 36.323744	 stepsize= 1.000000 
-dualbound = 3270857.365155, lowerbound=1253260.365155, norm of subgrad 1120.060429	dualbound = 3270857.365155, lowerbound=1253260.365155, norm of subgrad 37.580403	 stepsize= 1.000000 
-dualbound = 3270911.832521, lowerbound=1252372.832521, norm of subgrad 1119.700778	dualbound = 3270911.832521, lowerbound=1252372.832521, norm of subgrad 37.569500	 stepsize= 1.000000 
-dualbound = 3271020.122290, lowerbound=1253427.122290, norm of subgrad 1120.157633	dualbound = 3271020.122290, lowerbound=1253427.122290, norm of subgrad 37.872018	 stepsize= 1.000000 
-dualbound = 3271105.176929, lowerbound=1249691.176929, norm of subgrad 1118.487898	dualbound = 3271105.176929, lowerbound=1249691.176929, norm of subgrad 37.537377	 stepsize= 1.000000 
-dualbound = 3271202.206766, lowerbound=1253871.206766, norm of subgrad 1120.349145	dualbound = 3271202.206766, lowerbound=1253871.206766, norm of subgrad 37.523724	 stepsize= 1.000000 
-dualbound = 3271289.951635, lowerbound=1259875.951635, norm of subgrad 1123.011109	dualbound = 3271289.951635, lowerbound=1259875.951635, norm of subgrad 36.955986	 stepsize= 1.000000 
-dualbound = 3271410.247339, lowerbound=1251588.247339, norm of subgrad 1119.302572	dualbound = 3271410.247339, lowerbound=1251588.247339, norm of subgrad 37.017505	 stepsize= 1.000000 
-dualbound = 3271493.704555, lowerbound=1251583.704555, norm of subgrad 1119.285801	dualbound = 3271493.704555, lowerbound=1251583.704555, norm of subgrad 36.061853	 stepsize= 1.000000 
-dualbound = 3271618.848394, lowerbound=1248383.848394, norm of subgrad 1117.866651	dualbound = 3271618.848394, lowerbound=1248383.848394, norm of subgrad 36.974908	 stepsize= 1.000000 
-dualbound = 3271661.585488, lowerbound=1254660.585488, norm of subgrad 1120.704950	dualbound = 3271661.585488, lowerbound=1254660.585488, norm of subgrad 36.901722	 stepsize= 1.000000 
-dualbound = 3271777.424076, lowerbound=1250003.424076, norm of subgrad 1118.620322	dualbound = 3271777.424076, lowerbound=1250003.424076, norm of subgrad 37.733786	 stepsize= 1.000000 
-dualbound = 3271866.531154, lowerbound=1255743.531154, norm of subgrad 1121.210743	dualbound = 3271866.531154, lowerbound=1255743.531154, norm of subgrad 38.198260	 stepsize= 1.000000 
-dualbound = 3271954.060307, lowerbound=1251906.060307, norm of subgrad 1119.445425	dualbound = 3271954.060307, lowerbound=1251906.060307, norm of subgrad 36.599579	 stepsize= 1.000000 
-dualbound = 3272074.622118, lowerbound=1249908.622118, norm of subgrad 1118.573923	dualbound = 3272074.622118, lowerbound=1249908.622118, norm of subgrad 37.677073	 stepsize= 1.000000 
-dualbound = 3272135.596592, lowerbound=1252703.596592, norm of subgrad 1119.835969	dualbound = 3272135.596592, lowerbound=1252703.596592, norm of subgrad 37.282361	 stepsize= 1.000000 
-dualbound = 3272241.633168, lowerbound=1255632.633168, norm of subgrad 1121.122934	dualbound = 3272241.633168, lowerbound=1255632.633168, norm of subgrad 37.283194	 stepsize= 1.000000 
-dualbound = 3272335.077176, lowerbound=1252807.077176, norm of subgrad 1119.874581	dualbound = 3272335.077176, lowerbound=1252807.077176, norm of subgrad 37.489252	 stepsize= 1.000000 
-dualbound = 3272424.707387, lowerbound=1256647.707387, norm of subgrad 1121.592487	dualbound = 3272424.707387, lowerbound=1256647.707387, norm of subgrad 37.571668	 stepsize= 1.000000 
-dualbound = 3272534.339878, lowerbound=1250971.339878, norm of subgrad 1119.036791	dualbound = 3272534.339878, lowerbound=1250971.339878, norm of subgrad 37.170317	 stepsize= 1.000000 
-dualbound = 3272625.648022, lowerbound=1253300.648022, norm of subgrad 1120.079751	dualbound = 3272625.648022, lowerbound=1253300.648022, norm of subgrad 37.004164	 stepsize= 1.000000 
-dualbound = 3272722.835943, lowerbound=1254433.835943, norm of subgrad 1120.600212	dualbound = 3272722.835943, lowerbound=1254433.835943, norm of subgrad 37.525830	 stepsize= 1.000000 
-dualbound = 3272778.024619, lowerbound=1252907.024619, norm of subgrad 1119.920990	dualbound = 3272778.024619, lowerbound=1252907.024619, norm of subgrad 37.029565	 stepsize= 1.000000 
-dualbound = 3272924.027727, lowerbound=1254637.027727, norm of subgrad 1120.672578	dualbound = 3272924.027727, lowerbound=1254637.027727, norm of subgrad 37.629817	 stepsize= 1.000000 
-dualbound = 3272988.014255, lowerbound=1254137.014255, norm of subgrad 1120.462857	dualbound = 3272988.014255, lowerbound=1254137.014255, norm of subgrad 36.932188	 stepsize= 1.000000 
-dualbound = 3273087.142789, lowerbound=1251495.142789, norm of subgrad 1119.290017	dualbound = 3273087.142789, lowerbound=1251495.142789, norm of subgrad 37.604900	 stepsize= 1.000000 
-dualbound = 3273186.066534, lowerbound=1255375.066534, norm of subgrad 1121.002706	dualbound = 3273186.066534, lowerbound=1255375.066534, norm of subgrad 37.025987	 stepsize= 1.000000 
-dualbound = 3273279.866086, lowerbound=1253478.866086, norm of subgrad 1120.164214	dualbound = 3273279.866086, lowerbound=1253478.866086, norm of subgrad 37.186013	 stepsize= 1.000000 
-dualbound = 3273368.870914, lowerbound=1253447.870914, norm of subgrad 1120.144130	dualbound = 3273368.870914, lowerbound=1253447.870914, norm of subgrad 36.932436	 stepsize= 1.000000 
-dualbound = 3273465.586678, lowerbound=1252282.586678, norm of subgrad 1119.637703	dualbound = 3273465.586678, lowerbound=1252282.586678, norm of subgrad 37.452847	 stepsize= 1.000000 
-dualbound = 3273542.186496, lowerbound=1253666.186496, norm of subgrad 1120.279066	dualbound = 3273542.186496, lowerbound=1253666.186496, norm of subgrad 37.889310	 stepsize= 1.000000 
-dualbound = 3273648.909359, lowerbound=1256180.909359, norm of subgrad 1121.369212	dualbound = 3273648.909359, lowerbound=1256180.909359, norm of subgrad 37.345989	 stepsize= 1.000000 
-dualbound = 3273743.050478, lowerbound=1252838.050478, norm of subgrad 1119.885731	dualbound = 3273743.050478, lowerbound=1252838.050478, norm of subgrad 37.418460	 stepsize= 1.000000 
-dualbound = 3273855.623418, lowerbound=1246564.623418, norm of subgrad 1117.061602	dualbound = 3273855.623418, lowerbound=1246564.623418, norm of subgrad 37.075234	 stepsize= 1.000000 
-dualbound = 3273943.386640, lowerbound=1257865.386640, norm of subgrad 1122.106673	dualbound = 3273943.386640, lowerbound=1257865.386640, norm of subgrad 36.684646	 stepsize= 1.000000 
-dualbound = 3274045.534063, lowerbound=1250219.534063, norm of subgrad 1118.727194	dualbound = 3274045.534063, lowerbound=1250219.534063, norm of subgrad 37.856934	 stepsize= 1.000000 
-dualbound = 3274110.379580, lowerbound=1252722.379580, norm of subgrad 1119.855517	dualbound = 3274110.379580, lowerbound=1252722.379580, norm of subgrad 37.667566	 stepsize= 1.000000 
-dualbound = 3274220.140897, lowerbound=1253159.140897, norm of subgrad 1120.028634	dualbound = 3274220.140897, lowerbound=1253159.140897, norm of subgrad 37.613313	 stepsize= 1.000000 
-dualbound = 3274310.266097, lowerbound=1257355.266097, norm of subgrad 1121.893607	dualbound = 3274310.266097, lowerbound=1257355.266097, norm of subgrad 37.150036	 stepsize= 1.000000 
-dualbound = 3274438.811788, lowerbound=1255436.811788, norm of subgrad 1120.992334	dualbound = 3274438.811788, lowerbound=1255436.811788, norm of subgrad 36.270452	 stepsize= 1.000000 
-dualbound = 3274521.090218, lowerbound=1252514.090218, norm of subgrad 1119.735723	dualbound = 3274521.090218, lowerbound=1252514.090218, norm of subgrad 37.098227	 stepsize= 1.000000 
-dualbound = 3274590.233900, lowerbound=1251851.233900, norm of subgrad 1119.453989	dualbound = 3274590.233900, lowerbound=1251851.233900, norm of subgrad 37.351622	 stepsize= 1.000000 
-dualbound = 3274725.578215, lowerbound=1254804.578215, norm of subgrad 1120.736177	dualbound = 3274725.578215, lowerbound=1254804.578215, norm of subgrad 37.152985	 stepsize= 1.000000 
-dualbound = 3274807.341975, lowerbound=1252315.341975, norm of subgrad 1119.629556	dualbound = 3274807.341975, lowerbound=1252315.341975, norm of subgrad 36.561780	 stepsize= 1.000000 
-dualbound = 3274889.540597, lowerbound=1251454.540597, norm of subgrad 1119.258031	dualbound = 3274889.540597, lowerbound=1251454.540597, norm of subgrad 36.962124	 stepsize= 1.000000 
-dualbound = 3275016.524564, lowerbound=1256475.524564, norm of subgrad 1121.489868	dualbound = 3275016.524564, lowerbound=1256475.524564, norm of subgrad 37.295897	 stepsize= 1.000000 
-dualbound = 3275061.686991, lowerbound=1250522.686991, norm of subgrad 1118.873848	dualbound = 3275061.686991, lowerbound=1250522.686991, norm of subgrad 37.432104	 stepsize= 1.000000 
-dualbound = 3275166.693716, lowerbound=1257468.693716, norm of subgrad 1121.972680	dualbound = 3275166.693716, lowerbound=1257468.693716, norm of subgrad 38.196947	 stepsize= 1.000000 
-dualbound = 3275248.329974, lowerbound=1249808.329974, norm of subgrad 1118.534903	dualbound = 3275248.329974, lowerbound=1249808.329974, norm of subgrad 37.331438	 stepsize= 1.000000 
-dualbound = 3275383.004090, lowerbound=1253762.004090, norm of subgrad 1120.277200	dualbound = 3275383.004090, lowerbound=1253762.004090, norm of subgrad 37.331945	 stepsize= 1.000000 
-dualbound = 3275446.648795, lowerbound=1251279.648795, norm of subgrad 1119.172305	dualbound = 3275446.648795, lowerbound=1251279.648795, norm of subgrad 36.478003	 stepsize= 1.000000 
-dualbound = 3275556.713410, lowerbound=1255187.713410, norm of subgrad 1120.933858	dualbound = 3275556.713410, lowerbound=1255187.713410, norm of subgrad 37.617345	 stepsize= 1.000000 
-dualbound = 3275635.691654, lowerbound=1250712.691654, norm of subgrad 1118.952497	dualbound = 3275635.691654, lowerbound=1250712.691654, norm of subgrad 37.695865	 stepsize= 1.000000 
-dualbound = 3275720.194968, lowerbound=1254978.194968, norm of subgrad 1120.871177	dualbound = 3275720.194968, lowerbound=1254978.194968, norm of subgrad 38.190356	 stepsize= 1.000000 
-dualbound = 3275829.803361, lowerbound=1249649.803361, norm of subgrad 1118.442132	dualbound = 3275829.803361, lowerbound=1249649.803361, norm of subgrad 37.048730	 stepsize= 1.000000 
-dualbound = 3275936.985281, lowerbound=1251519.985281, norm of subgrad 1119.281013	dualbound = 3275936.985281, lowerbound=1251519.985281, norm of subgrad 37.110402	 stepsize= 1.000000 
-dualbound = 3276037.439461, lowerbound=1255202.439461, norm of subgrad 1120.910094	dualbound = 3276037.439461, lowerbound=1255202.439461, norm of subgrad 36.571221	 stepsize= 1.000000 
-dualbound = 3276124.475291, lowerbound=1253579.475291, norm of subgrad 1120.195731	dualbound = 3276124.475291, lowerbound=1253579.475291, norm of subgrad 36.688361	 stepsize= 1.000000 
-dualbound = 3276239.600025, lowerbound=1255161.600025, norm of subgrad 1120.893215	dualbound = 3276239.600025, lowerbound=1255161.600025, norm of subgrad 36.812019	 stepsize= 1.000000 
-dualbound = 3276312.370003, lowerbound=1254370.370003, norm of subgrad 1120.550476	dualbound = 3276312.370003, lowerbound=1254370.370003, norm of subgrad 36.548187	 stepsize= 1.000000 
-dualbound = 3276400.113477, lowerbound=1256856.113477, norm of subgrad 1121.656861	dualbound = 3276400.113477, lowerbound=1256856.113477, norm of subgrad 36.684376	 stepsize= 1.000000 
-dualbound = 3276495.503689, lowerbound=1255394.503689, norm of subgrad 1121.010483	dualbound = 3276495.503689, lowerbound=1255394.503689, norm of subgrad 36.951187	 stepsize= 1.000000 
-dualbound = 3276612.020938, lowerbound=1252159.020938, norm of subgrad 1119.542327	dualbound = 3276612.020938, lowerbound=1252159.020938, norm of subgrad 36.503661	 stepsize= 1.000000 
-dualbound = 3276686.665955, lowerbound=1253892.665955, norm of subgrad 1120.344887	dualbound = 3276686.665955, lowerbound=1253892.665955, norm of subgrad 36.805503	 stepsize= 1.000000 
-dualbound = 3276782.246660, lowerbound=1254275.246660, norm of subgrad 1120.504907	dualbound = 3276782.246660, lowerbound=1254275.246660, norm of subgrad 36.763851	 stepsize= 1.000000 
-dualbound = 3276879.605843, lowerbound=1256009.605843, norm of subgrad 1121.287477	dualbound = 3276879.605843, lowerbound=1256009.605843, norm of subgrad 37.058861	 stepsize= 1.000000 
-dualbound = 3276965.779593, lowerbound=1246505.779593, norm of subgrad 1117.034368	dualbound = 3276965.779593, lowerbound=1246505.779593, norm of subgrad 36.690241	 stepsize= 1.000000 
-dualbound = 3277072.237684, lowerbound=1255038.237684, norm of subgrad 1120.850676	dualbound = 3277072.237684, lowerbound=1255038.237684, norm of subgrad 37.073685	 stepsize= 1.000000 
-dualbound = 3277126.077738, lowerbound=1255566.077738, norm of subgrad 1121.125808	dualbound = 3277126.077738, lowerbound=1255566.077738, norm of subgrad 37.561151	 stepsize= 1.000000 
-dualbound = 3277245.779129, lowerbound=1257668.779129, norm of subgrad 1122.039562	dualbound = 3277245.779129, lowerbound=1257668.779129, norm of subgrad 37.731968	 stepsize= 1.000000 
-dualbound = 3277330.447508, lowerbound=1252833.447508, norm of subgrad 1119.884569	dualbound = 3277330.447508, lowerbound=1252833.447508, norm of subgrad 37.318472	 stepsize= 1.000000 
-dualbound = 3277445.333899, lowerbound=1252049.333899, norm of subgrad 1119.528621	dualbound = 3277445.333899, lowerbound=1252049.333899, norm of subgrad 37.548454	 stepsize= 1.000000 
-dualbound = 3277508.958049, lowerbound=1254353.958049, norm of subgrad 1120.570372	dualbound = 3277508.958049, lowerbound=1254353.958049, norm of subgrad 37.250828	 stepsize= 1.000000 
-dualbound = 3277618.919333, lowerbound=1249513.919333, norm of subgrad 1118.423855	dualbound = 3277618.919333, lowerbound=1249513.919333, norm of subgrad 38.313983	 stepsize= 1.000000 
-dualbound = 3277698.359040, lowerbound=1251361.359040, norm of subgrad 1119.207469	dualbound = 3277698.359040, lowerbound=1251361.359040, norm of subgrad 36.652963	 stepsize= 1.000000 
-dualbound = 3277830.729605, lowerbound=1255011.729605, norm of subgrad 1120.853126	dualbound = 3277830.729605, lowerbound=1255011.729605, norm of subgrad 37.846672	 stepsize= 1.000000 
-dualbound = 3277878.062615, lowerbound=1250174.062615, norm of subgrad 1118.679160	dualbound = 3277878.062615, lowerbound=1250174.062615, norm of subgrad 36.281304	 stepsize= 1.000000 
-dualbound = 3278020.116952, lowerbound=1257225.116952, norm of subgrad 1121.820448	dualbound = 3278020.116952, lowerbound=1257225.116952, norm of subgrad 37.390565	 stepsize= 1.000000 
-dualbound = 3278105.023871, lowerbound=1252939.023871, norm of subgrad 1119.887951	dualbound = 3278105.023871, lowerbound=1252939.023871, norm of subgrad 35.984815	 stepsize= 1.000000 
-dualbound = 3278194.611797, lowerbound=1254736.611797, norm of subgrad 1120.737976	dualbound = 3278194.611797, lowerbound=1254736.611797, norm of subgrad 37.504505	 stepsize= 1.000000 
-dualbound = 3278257.139402, lowerbound=1250894.139402, norm of subgrad 1119.027765	dualbound = 3278257.139402, lowerbound=1250894.139402, norm of subgrad 37.303185	 stepsize= 1.000000 
-dualbound = 3278374.759865, lowerbound=1259710.759865, norm of subgrad 1122.951807	dualbound = 3278374.759865, lowerbound=1259710.759865, norm of subgrad 37.783865	 stepsize= 1.000000 
-dualbound = 3278445.074520, lowerbound=1251044.074520, norm of subgrad 1119.089395	dualbound = 3278445.074520, lowerbound=1251044.074520, norm of subgrad 37.246673	 stepsize= 1.000000 
-dualbound = 3278567.021814, lowerbound=1257275.021814, norm of subgrad 1121.855615	dualbound = 3278567.021814, lowerbound=1257275.021814, norm of subgrad 37.509296	 stepsize= 1.000000 
-dualbound = 3278630.271723, lowerbound=1252656.271723, norm of subgrad 1119.822875	dualbound = 3278630.271723, lowerbound=1252656.271723, norm of subgrad 37.553294	 stepsize= 1.000000 
-dualbound = 3278738.732210, lowerbound=1251371.732210, norm of subgrad 1119.209870	dualbound = 3278738.732210, lowerbound=1251371.732210, norm of subgrad 36.979190	 stepsize= 1.000000 
-dualbound = 3278834.625686, lowerbound=1249182.625686, norm of subgrad 1118.259641	dualbound = 3278834.625686, lowerbound=1249182.625686, norm of subgrad 37.654926	 stepsize= 1.000000 
-dualbound = 3278927.365813, lowerbound=1251704.365813, norm of subgrad 1119.384816	dualbound = 3278927.365813, lowerbound=1251704.365813, norm of subgrad 37.559821	 stepsize= 1.000000 
-dualbound = 3279008.920848, lowerbound=1252386.920848, norm of subgrad 1119.678043	dualbound = 3279008.920848, lowerbound=1252386.920848, norm of subgrad 37.061503	 stepsize= 1.000000 
-dualbound = 3279121.382414, lowerbound=1260541.382414, norm of subgrad 1123.286866	dualbound = 3279121.382414, lowerbound=1260541.382414, norm of subgrad 36.666900	 stepsize= 1.000000 
-dualbound = 3279215.999893, lowerbound=1245177.999893, norm of subgrad 1116.477496	dualbound = 3279215.999893, lowerbound=1245177.999893, norm of subgrad 37.929111	 stepsize= 1.000000 
-dualbound = 3279293.440518, lowerbound=1261905.440518, norm of subgrad 1123.914339	dualbound = 3279293.440518, lowerbound=1261905.440518, norm of subgrad 36.816309	 stepsize= 1.000000 
-dualbound = 3279401.624702, lowerbound=1249913.624702, norm of subgrad 1118.567667	dualbound = 3279401.624702, lowerbound=1249913.624702, norm of subgrad 37.258344	 stepsize= 1.000000 
-dualbound = 3279502.616552, lowerbound=1255708.616552, norm of subgrad 1121.152361	dualbound = 3279502.616552, lowerbound=1255708.616552, norm of subgrad 37.080883	 stepsize= 1.000000 
-dualbound = 3279611.442479, lowerbound=1251346.442479, norm of subgrad 1119.206613	dualbound = 3279611.442479, lowerbound=1251346.442479, norm of subgrad 37.226683	 stepsize= 1.000000 
-dualbound = 3279687.307651, lowerbound=1260915.307651, norm of subgrad 1123.492460	dualbound = 3279687.307651, lowerbound=1260915.307651, norm of subgrad 37.361279	 stepsize= 1.000000 
-dualbound = 3279778.535809, lowerbound=1252871.535809, norm of subgrad 1119.893091	dualbound = 3279778.535809, lowerbound=1252871.535809, norm of subgrad 37.151422	 stepsize= 1.000000 
-dualbound = 3279872.035148, lowerbound=1251349.035148, norm of subgrad 1119.225641	dualbound = 3279872.035148, lowerbound=1251349.035148, norm of subgrad 37.556615	 stepsize= 1.000000 
-dualbound = 3279975.156993, lowerbound=1253359.156993, norm of subgrad 1120.119707	dualbound = 3279975.156993, lowerbound=1253359.156993, norm of subgrad 37.578210	 stepsize= 1.000000 
-dualbound = 3280061.839263, lowerbound=1255632.839263, norm of subgrad 1121.123918	dualbound = 3280061.839263, lowerbound=1255632.839263, norm of subgrad 37.049727	 stepsize= 1.000000 
-dualbound = 3280176.777092, lowerbound=1251999.777092, norm of subgrad 1119.499789	dualbound = 3280176.777092, lowerbound=1251999.777092, norm of subgrad 37.348867	 stepsize= 1.000000 
-dualbound = 3280253.720946, lowerbound=1254614.720946, norm of subgrad 1120.677349	dualbound = 3280253.720946, lowerbound=1254614.720946, norm of subgrad 37.147596	 stepsize= 1.000000 
-dualbound = 3280360.247469, lowerbound=1251281.247469, norm of subgrad 1119.172126	dualbound = 3280360.247469, lowerbound=1251281.247469, norm of subgrad 37.034126	 stepsize= 1.000000 
-dualbound = 3280455.179175, lowerbound=1255561.179175, norm of subgrad 1121.119610	dualbound = 3280455.179175, lowerbound=1255561.179175, norm of subgrad 37.985941	 stepsize= 1.000000 
-dualbound = 3280524.031635, lowerbound=1255317.031635, norm of subgrad 1120.997338	dualbound = 3280524.031635, lowerbound=1255317.031635, norm of subgrad 37.240468	 stepsize= 1.000000 
-dualbound = 3280644.199888, lowerbound=1253174.199888, norm of subgrad 1120.013482	dualbound = 3280644.199888, lowerbound=1253174.199888, norm of subgrad 37.096742	 stepsize= 1.000000 
-dualbound = 3280723.559698, lowerbound=1251510.559698, norm of subgrad 1119.317006	dualbound = 3280723.559698, lowerbound=1251510.559698, norm of subgrad 37.938896	 stepsize= 1.000000 
-dualbound = 3280816.184932, lowerbound=1254175.184932, norm of subgrad 1120.499525	dualbound = 3280816.184932, lowerbound=1254175.184932, norm of subgrad 37.902839	 stepsize= 1.000000 
-dualbound = 3280906.853741, lowerbound=1250016.853741, norm of subgrad 1118.592801	dualbound = 3280906.853741, lowerbound=1250016.853741, norm of subgrad 36.382260	 stepsize= 1.000000 
-dualbound = 3281030.288747, lowerbound=1254281.288747, norm of subgrad 1120.507157	dualbound = 3281030.288747, lowerbound=1254281.288747, norm of subgrad 37.127281	 stepsize= 1.000000 
-dualbound = 3281098.960074, lowerbound=1249790.960074, norm of subgrad 1118.513281	dualbound = 3281098.960074, lowerbound=1249790.960074, norm of subgrad 36.737873	 stepsize= 1.000000 
-dualbound = 3281199.193152, lowerbound=1255260.193152, norm of subgrad 1120.966187	dualbound = 3281199.193152, lowerbound=1255260.193152, norm of subgrad 37.486439	 stepsize= 1.000000 
-dualbound = 3281265.620728, lowerbound=1255079.620728, norm of subgrad 1120.897685	dualbound = 3281265.620728, lowerbound=1255079.620728, norm of subgrad 37.395556	 stepsize= 1.000000 
-dualbound = 3281376.424954, lowerbound=1255858.424954, norm of subgrad 1121.250385	dualbound = 3281376.424954, lowerbound=1255858.424954, norm of subgrad 38.141896	 stepsize= 1.000000 
-dualbound = 3281480.055274, lowerbound=1252952.055274, norm of subgrad 1119.897341	dualbound = 3281480.055274, lowerbound=1252952.055274, norm of subgrad 36.354234	 stepsize= 1.000000 
-dualbound = 3281615.135230, lowerbound=1254260.135230, norm of subgrad 1120.491917	dualbound = 3281615.135230, lowerbound=1254260.135230, norm of subgrad 37.109028	 stepsize= 1.000000 
-dualbound = 3281659.324194, lowerbound=1248470.324194, norm of subgrad 1117.926797	dualbound = 3281659.324194, lowerbound=1248470.324194, norm of subgrad 36.526551	 stepsize= 1.000000 
-dualbound = 3281776.275727, lowerbound=1257841.275727, norm of subgrad 1122.113753	dualbound = 3281776.275727, lowerbound=1257841.275727, norm of subgrad 37.615842	 stepsize= 1.000000 
-dualbound = 3281838.782584, lowerbound=1253076.782584, norm of subgrad 1120.001689	dualbound = 3281838.782584, lowerbound=1253076.782584, norm of subgrad 37.276090	 stepsize= 1.000000 
-dualbound = 3281950.842868, lowerbound=1256054.842868, norm of subgrad 1121.276881	dualbound = 3281950.842868, lowerbound=1256054.842868, norm of subgrad 36.318870	 stepsize= 1.000000 
-dualbound = 3282069.689924, lowerbound=1249633.689924, norm of subgrad 1118.448787	dualbound = 3282069.689924, lowerbound=1249633.689924, norm of subgrad 37.587858	 stepsize= 1.000000 
-dualbound = 3282128.750294, lowerbound=1256659.750294, norm of subgrad 1121.582253	dualbound = 3282128.750294, lowerbound=1256659.750294, norm of subgrad 36.688695	 stepsize= 1.000000 
-dualbound = 3282230.465917, lowerbound=1252252.465917, norm of subgrad 1119.603709	dualbound = 3282230.465917, lowerbound=1252252.465917, norm of subgrad 36.901431	 stepsize= 1.000000 
-dualbound = 3282347.684662, lowerbound=1257609.684662, norm of subgrad 1121.969110	dualbound = 3282347.684662, lowerbound=1257609.684662, norm of subgrad 36.362326	 stepsize= 1.000000 
-dualbound = 3282436.157192, lowerbound=1249827.157192, norm of subgrad 1118.542872	dualbound = 3282436.157192, lowerbound=1249827.157192, norm of subgrad 37.409525	 stepsize= 1.000000 
-dualbound = 3282534.384638, lowerbound=1256129.384638, norm of subgrad 1121.351142	dualbound = 3282534.384638, lowerbound=1256129.384638, norm of subgrad 37.379506	 stepsize= 1.000000 
-dualbound = 3282609.793138, lowerbound=1249804.793138, norm of subgrad 1118.526170	dualbound = 3282609.793138, lowerbound=1249804.793138, norm of subgrad 37.032533	 stepsize= 1.000000 
-dualbound = 3282725.335056, lowerbound=1254919.335056, norm of subgrad 1120.799864	dualbound = 3282725.335056, lowerbound=1254919.335056, norm of subgrad 37.263144	 stepsize= 1.000000 
-dualbound = 3282798.720444, lowerbound=1256967.720444, norm of subgrad 1121.737813	dualbound = 3282798.720444, lowerbound=1256967.720444, norm of subgrad 37.435082	 stepsize= 1.000000 
-dualbound = 3282898.808042, lowerbound=1253988.808042, norm of subgrad 1120.396273	dualbound = 3282898.808042, lowerbound=1253988.808042, norm of subgrad 37.404379	 stepsize= 1.000000 
-dualbound = 3282991.529427, lowerbound=1252347.529427, norm of subgrad 1119.652861	dualbound = 3282991.529427, lowerbound=1252347.529427, norm of subgrad 36.982717	 stepsize= 1.000000 
-dualbound = 3283087.751116, lowerbound=1251941.751116, norm of subgrad 1119.475659	dualbound = 3283087.751116, lowerbound=1251941.751116, norm of subgrad 37.151335	 stepsize= 1.000000 
-dualbound = 3283180.669091, lowerbound=1253642.669091, norm of subgrad 1120.254734	dualbound = 3283180.669091, lowerbound=1253642.669091, norm of subgrad 37.695066	 stepsize= 1.000000 
-dualbound = 3283242.168741, lowerbound=1254459.168741, norm of subgrad 1120.645871	dualbound = 3283242.168741, lowerbound=1254459.168741, norm of subgrad 38.072295	 stepsize= 1.000000 
-dualbound = 3283325.698840, lowerbound=1254568.698840, norm of subgrad 1120.678678	dualbound = 3283325.698840, lowerbound=1254568.698840, norm of subgrad 37.888390	 stepsize= 1.000000 
-dualbound = 3283449.102077, lowerbound=1258414.102077, norm of subgrad 1122.376097	dualbound = 3283449.102077, lowerbound=1258414.102077, norm of subgrad 37.913101	 stepsize= 1.000000 
-dualbound = 3283538.729573, lowerbound=1252691.729573, norm of subgrad 1119.808345	dualbound = 3283538.729573, lowerbound=1252691.729573, norm of subgrad 36.994966	 stepsize= 1.000000 
-dualbound = 3283651.536471, lowerbound=1252402.536471, norm of subgrad 1119.691268	dualbound = 3283651.536471, lowerbound=1252402.536471, norm of subgrad 37.667053	 stepsize= 1.000000 
-dualbound = 3283747.800132, lowerbound=1253662.800132, norm of subgrad 1120.244973	dualbound = 3283747.800132, lowerbound=1253662.800132, norm of subgrad 37.178807	 stepsize= 1.000000 
-dualbound = 3283844.222114, lowerbound=1256097.222114, norm of subgrad 1121.333234	dualbound = 3283844.222114, lowerbound=1256097.222114, norm of subgrad 37.248114	 stepsize= 1.000000 
-dualbound = 3283934.688545, lowerbound=1255532.688545, norm of subgrad 1121.072562	dualbound = 3283934.688545, lowerbound=1255532.688545, norm of subgrad 36.898055	 stepsize= 1.000000 
-dualbound = 3284036.831971, lowerbound=1250777.831971, norm of subgrad 1118.962391	dualbound = 3284036.831971, lowerbound=1250777.831971, norm of subgrad 37.431850	 stepsize= 1.000000 
-dualbound = 3284142.183529, lowerbound=1254482.183529, norm of subgrad 1120.619553	dualbound = 3284142.183529, lowerbound=1254482.183529, norm of subgrad 37.567959	 stepsize= 1.000000 
-dualbound = 3284220.692191, lowerbound=1252406.692191, norm of subgrad 1119.700715	dualbound = 3284220.692191, lowerbound=1252406.692191, norm of subgrad 37.436729	 stepsize= 1.000000 
-dualbound = 3284312.062788, lowerbound=1255300.062788, norm of subgrad 1120.958992	dualbound = 3284312.062788, lowerbound=1255300.062788, norm of subgrad 36.611072	 stepsize= 1.000000 
-dualbound = 3284420.759177, lowerbound=1251486.759177, norm of subgrad 1119.251875	dualbound = 3284420.759177, lowerbound=1251486.759177, norm of subgrad 36.697362	 stepsize= 1.000000 
-dualbound = 3284508.323972, lowerbound=1251587.323972, norm of subgrad 1119.307073	dualbound = 3284508.323972, lowerbound=1251587.323972, norm of subgrad 36.722810	 stepsize= 1.000000 
-dualbound = 3284597.953541, lowerbound=1257642.953541, norm of subgrad 1122.027608	dualbound = 3284597.953541, lowerbound=1257642.953541, norm of subgrad 37.317952	 stepsize= 1.000000 
-dualbound = 3284692.666625, lowerbound=1255863.666625, norm of subgrad 1121.238452	dualbound = 3284692.666625, lowerbound=1255863.666625, norm of subgrad 37.506174	 stepsize= 1.000000 
-dualbound = 3284778.866023, lowerbound=1258153.866023, norm of subgrad 1122.258823	dualbound = 3284778.866023, lowerbound=1258153.866023, norm of subgrad 37.379131	 stepsize= 1.000000 
-dualbound = 3284866.366559, lowerbound=1251194.366559, norm of subgrad 1119.151628	dualbound = 3284866.366559, lowerbound=1251194.366559, norm of subgrad 37.329620	 stepsize= 1.000000 
-dualbound = 3284976.524919, lowerbound=1252199.524919, norm of subgrad 1119.597037	dualbound = 3284976.524919, lowerbound=1252199.524919, norm of subgrad 37.525436	 stepsize= 1.000000 
-dualbound = 3285038.904966, lowerbound=1252410.904966, norm of subgrad 1119.720458	dualbound = 3285038.904966, lowerbound=1252410.904966, norm of subgrad 37.754206	 stepsize= 1.000000 
-dualbound = 3285148.033541, lowerbound=1255585.033541, norm of subgrad 1121.125342	dualbound = 3285148.033541, lowerbound=1255585.033541, norm of subgrad 38.027997	 stepsize= 1.000000 
-dualbound = 3285220.600924, lowerbound=1252660.600924, norm of subgrad 1119.799357	dualbound = 3285220.600924, lowerbound=1252660.600924, norm of subgrad 36.912970	 stepsize= 1.000000 
-dualbound = 3285348.360091, lowerbound=1256136.360091, norm of subgrad 1121.311447	dualbound = 3285348.360091, lowerbound=1256136.360091, norm of subgrad 36.479572	 stepsize= 1.000000 
-dualbound = 3285443.018950, lowerbound=1251760.018950, norm of subgrad 1119.396274	dualbound = 3285443.018950, lowerbound=1251760.018950, norm of subgrad 37.184121	 stepsize= 1.000000 
-dualbound = 3285523.957536, lowerbound=1254523.957536, norm of subgrad 1120.651577	dualbound = 3285523.957536, lowerbound=1254523.957536, norm of subgrad 37.642245	 stepsize= 1.000000 
-dualbound = 3285589.790135, lowerbound=1251554.790135, norm of subgrad 1119.315322	dualbound = 3285589.790135, lowerbound=1251554.790135, norm of subgrad 37.119168	 stepsize= 1.000000 
-dualbound = 3285719.490643, lowerbound=1260366.490643, norm of subgrad 1123.209015	dualbound = 3285719.490643, lowerbound=1260366.490643, norm of subgrad 36.901226	 stepsize= 1.000000 
-dualbound = 3285807.535283, lowerbound=1248689.535283, norm of subgrad 1118.025731	dualbound = 3285807.535283, lowerbound=1248689.535283, norm of subgrad 37.148952	 stepsize= 1.000000 
-dualbound = 3285890.344076, lowerbound=1255478.344076, norm of subgrad 1121.071962	dualbound = 3285890.344076, lowerbound=1255478.344076, norm of subgrad 37.507450	 stepsize= 1.000000 
-dualbound = 3285990.647052, lowerbound=1253385.647052, norm of subgrad 1120.110105	dualbound = 3285990.647052, lowerbound=1253385.647052, norm of subgrad 36.895840	 stepsize= 1.000000 
-dualbound = 3286103.909675, lowerbound=1253869.909675, norm of subgrad 1120.314648	dualbound = 3286103.909675, lowerbound=1253869.909675, norm of subgrad 36.718696	 stepsize= 1.000000 
-dualbound = 3286198.477297, lowerbound=1252387.477297, norm of subgrad 1119.672487	dualbound = 3286198.477297, lowerbound=1252387.477297, norm of subgrad 37.061673	 stepsize= 1.000000 
-dualbound = 3286275.464873, lowerbound=1258096.464873, norm of subgrad 1122.232358	dualbound = 3286275.464873, lowerbound=1258096.464873, norm of subgrad 37.228854	 stepsize= 1.000000 
-dualbound = 3286372.356155, lowerbound=1254099.356155, norm of subgrad 1120.429095	dualbound = 3286372.356155, lowerbound=1254099.356155, norm of subgrad 36.863143	 stepsize= 1.000000 
-dualbound = 3286491.545350, lowerbound=1250662.545350, norm of subgrad 1118.902384	dualbound = 3286491.545350, lowerbound=1250662.545350, norm of subgrad 37.405737	 stepsize= 1.000000 
-dualbound = 3286562.431451, lowerbound=1257795.431451, norm of subgrad 1122.085750	dualbound = 3286562.431451, lowerbound=1257795.431451, norm of subgrad 36.768004	 stepsize= 1.000000 
-dualbound = 3286666.211632, lowerbound=1256046.211632, norm of subgrad 1121.314948	dualbound = 3286666.211632, lowerbound=1256046.211632, norm of subgrad 37.480397	 stepsize= 1.000000 
-dualbound = 3286749.880767, lowerbound=1253823.880767, norm of subgrad 1120.307494	dualbound = 3286749.880767, lowerbound=1253823.880767, norm of subgrad 36.724231	 stepsize= 1.000000 
-dualbound = 3286860.224065, lowerbound=1254374.224065, norm of subgrad 1120.578076	dualbound = 3286860.224065, lowerbound=1254374.224065, norm of subgrad 37.833098	 stepsize= 1.000000 
-dualbound = 3286929.400714, lowerbound=1254631.400714, norm of subgrad 1120.724498	dualbound = 3286929.400714, lowerbound=1254631.400714, norm of subgrad 38.225340	 stepsize= 1.000000 
-dualbound = 3287012.921781, lowerbound=1256170.921781, norm of subgrad 1121.395970	dualbound = 3287012.921781, lowerbound=1256170.921781, norm of subgrad 37.967368	 stepsize= 1.000000 
-dualbound = 3287109.586799, lowerbound=1253024.586799, norm of subgrad 1119.982851	dualbound = 3287109.586799, lowerbound=1253024.586799, norm of subgrad 37.863769	 stepsize= 1.000000 
-dualbound = 3287182.865499, lowerbound=1254707.865499, norm of subgrad 1120.739428	dualbound = 3287182.865499, lowerbound=1254707.865499, norm of subgrad 37.713110	 stepsize= 1.000000 
-dualbound = 3287308.649860, lowerbound=1251795.649860, norm of subgrad 1119.414423	dualbound = 3287308.649860, lowerbound=1251795.649860, norm of subgrad 37.666754	 stepsize= 1.000000 
-dualbound = 3287380.302699, lowerbound=1255843.302699, norm of subgrad 1121.236506	dualbound = 3287380.302699, lowerbound=1255843.302699, norm of subgrad 37.411934	 stepsize= 1.000000 
-dualbound = 3287490.672414, lowerbound=1250920.672414, norm of subgrad 1118.990917	dualbound = 3287490.672414, lowerbound=1250920.672414, norm of subgrad 36.474234	 stepsize= 1.000000 
-dualbound = 3287598.833561, lowerbound=1256451.833561, norm of subgrad 1121.486885	dualbound = 3287598.833561, lowerbound=1256451.833561, norm of subgrad 37.271452	 stepsize= 1.000000 
-dualbound = 3287690.510571, lowerbound=1255750.510571, norm of subgrad 1121.171490	dualbound = 3287690.510571, lowerbound=1255750.510571, norm of subgrad 36.968595	 stepsize= 1.000000 
-dualbound = 3287784.067181, lowerbound=1252980.067181, norm of subgrad 1119.942886	dualbound = 3287784.067181, lowerbound=1252980.067181, norm of subgrad 37.223066	 stepsize= 1.000000 
-dualbound = 3287872.319240, lowerbound=1251029.319240, norm of subgrad 1119.095760	dualbound = 3287872.319240, lowerbound=1251029.319240, norm of subgrad 37.871520	 stepsize= 1.000000 
-dualbound = 3287982.111710, lowerbound=1251172.111710, norm of subgrad 1119.106390	dualbound = 3287982.111710, lowerbound=1251172.111710, norm of subgrad 36.562173	 stepsize= 1.000000 
-dualbound = 3288080.594861, lowerbound=1256995.594861, norm of subgrad 1121.729288	dualbound = 3288080.594861, lowerbound=1256995.594861, norm of subgrad 37.141394	 stepsize= 1.000000 
-dualbound = 3288166.396292, lowerbound=1253339.396292, norm of subgrad 1120.096155	dualbound = 3288166.396292, lowerbound=1253339.396292, norm of subgrad 36.902594	 stepsize= 1.000000 
-dualbound = 3288254.378094, lowerbound=1257740.378094, norm of subgrad 1122.054089	dualbound = 3288254.378094, lowerbound=1257740.378094, norm of subgrad 36.782901	 stepsize= 1.000000 
-dualbound = 3288357.589034, lowerbound=1255422.589034, norm of subgrad 1121.031930	dualbound = 3288357.589034, lowerbound=1255422.589034, norm of subgrad 37.325741	 stepsize= 1.000000 
-dualbound = 3288439.339803, lowerbound=1250073.339803, norm of subgrad 1118.643974	dualbound = 3288439.339803, lowerbound=1250073.339803, norm of subgrad 37.050651	 stepsize= 1.000000 
-dualbound = 3288534.760554, lowerbound=1258320.760554, norm of subgrad 1122.319367	dualbound = 3288534.760554, lowerbound=1258320.760554, norm of subgrad 37.086665	 stepsize= 1.000000 
-dualbound = 3288613.062824, lowerbound=1250631.062824, norm of subgrad 1118.919149	dualbound = 3288613.062824, lowerbound=1250631.062824, norm of subgrad 37.779654	 stepsize= 1.000000 
-dualbound = 3288725.476039, lowerbound=1258251.476039, norm of subgrad 1122.288945	dualbound = 3288725.476039, lowerbound=1258251.476039, norm of subgrad 37.328450	 stepsize= 1.000000 
-dualbound = 3288805.196265, lowerbound=1250806.196265, norm of subgrad 1118.965681	dualbound = 3288805.196265, lowerbound=1250806.196265, norm of subgrad 36.847255	 stepsize= 1.000000 
-dualbound = 3288935.039603, lowerbound=1255284.039603, norm of subgrad 1120.963443	dualbound = 3288935.039603, lowerbound=1255284.039603, norm of subgrad 37.481240	 stepsize= 1.000000 
-dualbound = 3289015.824393, lowerbound=1250840.824393, norm of subgrad 1118.995453	dualbound = 3289015.824393, lowerbound=1250840.824393, norm of subgrad 37.293227	 stepsize= 1.000000 
-dualbound = 3289080.208164, lowerbound=1258203.208165, norm of subgrad 1122.287489	dualbound = 3289080.208164, lowerbound=1258203.208165, norm of subgrad 37.287850	 stepsize= 1.000000 
-dualbound = 3289189.069659, lowerbound=1248833.069659, norm of subgrad 1118.080529	dualbound = 3289189.069659, lowerbound=1248833.069659, norm of subgrad 37.146487	 stepsize= 1.000000 
-dualbound = 3289295.995152, lowerbound=1258614.995152, norm of subgrad 1122.460688	dualbound = 3289295.995152, lowerbound=1258614.995152, norm of subgrad 37.548975	 stepsize= 1.000000 
-dualbound = 3289370.843334, lowerbound=1249091.843334, norm of subgrad 1118.189985	dualbound = 3289370.843334, lowerbound=1249091.843334, norm of subgrad 36.494495	 stepsize= 1.000000 
-dualbound = 3289467.664856, lowerbound=1260212.664856, norm of subgrad 1123.161905	dualbound = 3289467.664856, lowerbound=1260212.664856, norm of subgrad 37.105546	 stepsize= 1.000000 
-dualbound = 3289566.251867, lowerbound=1253747.251867, norm of subgrad 1120.292485	dualbound = 3289566.251867, lowerbound=1253747.251867, norm of subgrad 37.504493	 stepsize= 1.000000 
-dualbound = 3289662.676391, lowerbound=1256403.676391, norm of subgrad 1121.451593	dualbound = 3289662.676391, lowerbound=1256403.676391, norm of subgrad 36.693658	 stepsize= 1.000000 
-dualbound = 3289754.208065, lowerbound=1250026.208065, norm of subgrad 1118.614861	dualbound = 3289754.208065, lowerbound=1250026.208065, norm of subgrad 36.939568	 stepsize= 1.000000 
-dualbound = 3289830.710389, lowerbound=1254272.710389, norm of subgrad 1120.534565	dualbound = 3289830.710389, lowerbound=1254272.710389, norm of subgrad 37.436644	 stepsize= 1.000000 
-dualbound = 3289941.335089, lowerbound=1252536.335089, norm of subgrad 1119.738512	dualbound = 3289941.335089, lowerbound=1252536.335089, norm of subgrad 37.264255	 stepsize= 1.000000 
-dualbound = 3290036.830087, lowerbound=1256838.830087, norm of subgrad 1121.677240	dualbound = 3290036.830087, lowerbound=1256838.830087, norm of subgrad 37.636352	 stepsize= 1.000000 
-dualbound = 3290137.009801, lowerbound=1252145.009801, norm of subgrad 1119.570904	dualbound = 3290137.009801, lowerbound=1252145.009801, norm of subgrad 37.338716	 stepsize= 1.000000 
-dualbound = 3290214.675489, lowerbound=1255344.675489, norm of subgrad 1121.006992	dualbound = 3290214.675489, lowerbound=1255344.675489, norm of subgrad 37.278220	 stepsize= 1.000000 
-dualbound = 3290310.880762, lowerbound=1254259.880762, norm of subgrad 1120.511437	dualbound = 3290310.880762, lowerbound=1254259.880762, norm of subgrad 37.178021	 stepsize= 1.000000 
-dualbound = 3290402.355693, lowerbound=1258282.355693, norm of subgrad 1122.286218	dualbound = 3290402.355693, lowerbound=1258282.355693, norm of subgrad 36.544150	 stepsize= 1.000000 
-dualbound = 3290511.377725, lowerbound=1249180.377725, norm of subgrad 1118.230914	dualbound = 3290511.377725, lowerbound=1249180.377725, norm of subgrad 37.000298	 stepsize= 1.000000 
-dualbound = 3290600.266275, lowerbound=1259108.266275, norm of subgrad 1122.654117	dualbound = 3290600.266275, lowerbound=1259108.266275, norm of subgrad 36.508746	 stepsize= 1.000000 
-dualbound = 3290703.950569, lowerbound=1252163.950569, norm of subgrad 1119.604372	dualbound = 3290703.950569, lowerbound=1252163.950569, norm of subgrad 38.127212	 stepsize= 1.000000 
-dualbound = 3290779.522441, lowerbound=1252002.522441, norm of subgrad 1119.506374	dualbound = 3290779.522441, lowerbound=1252002.522441, norm of subgrad 36.980696	 stepsize= 1.000000 
-dualbound = 3290880.600819, lowerbound=1253243.600819, norm of subgrad 1120.063659	dualbound = 3290880.600819, lowerbound=1253243.600819, norm of subgrad 37.417621	 stepsize= 1.000000 
-dualbound = 3290968.972453, lowerbound=1258988.972453, norm of subgrad 1122.640179	dualbound = 3290968.972453, lowerbound=1258988.972453, norm of subgrad 37.687818	 stepsize= 1.000000 
-dualbound = 3291057.810208, lowerbound=1251099.810208, norm of subgrad 1119.119212	dualbound = 3291057.810208, lowerbound=1251099.810208, norm of subgrad 37.640905	 stepsize= 1.000000 
-dualbound = 3291160.781600, lowerbound=1253571.781600, norm of subgrad 1120.190511	dualbound = 3291160.781600, lowerbound=1253571.781600, norm of subgrad 36.850663	 stepsize= 1.000000 
-dualbound = 3291271.121933, lowerbound=1252734.121933, norm of subgrad 1119.805841	dualbound = 3291271.121933, lowerbound=1252734.121933, norm of subgrad 36.624313	 stepsize= 1.000000 
-dualbound = 3291380.034815, lowerbound=1257746.034815, norm of subgrad 1122.044578	dualbound = 3291380.034815, lowerbound=1257746.034815, norm of subgrad 36.700312	 stepsize= 1.000000 
-dualbound = 3291472.404997, lowerbound=1255013.404997, norm of subgrad 1120.833353	dualbound = 3291472.404997, lowerbound=1255013.404997, norm of subgrad 36.692917	 stepsize= 1.000000 
-dualbound = 3291557.496938, lowerbound=1256690.496938, norm of subgrad 1121.587935	dualbound = 3291557.496938, lowerbound=1256690.496938, norm of subgrad 36.797988	 stepsize= 1.000000 
-dualbound = 3291639.775812, lowerbound=1252672.775812, norm of subgrad 1119.827565	dualbound = 3291639.775812, lowerbound=1252672.775812, norm of subgrad 37.726368	 stepsize= 1.000000 
-dualbound = 3291724.752468, lowerbound=1253979.752468, norm of subgrad 1120.419900	dualbound = 3291724.752468, lowerbound=1253979.752468, norm of subgrad 38.026000	 stepsize= 1.000000 
-dualbound = 3291815.672566, lowerbound=1251819.672566, norm of subgrad 1119.408180	dualbound = 3291815.672566, lowerbound=1251819.672566, norm of subgrad 36.686784	 stepsize= 1.000000 
-dualbound = 3291937.610643, lowerbound=1250450.610643, norm of subgrad 1118.795607	dualbound = 3291937.610643, lowerbound=1250450.610643, norm of subgrad 37.080157	 stepsize= 1.000000 
-dualbound = 3292018.905041, lowerbound=1260782.905041, norm of subgrad 1123.406830	dualbound = 3292018.905041, lowerbound=1260782.905041, norm of subgrad 36.623686	 stepsize= 1.000000 
-dualbound = 3292108.735961, lowerbound=1255405.735961, norm of subgrad 1121.053405	dualbound = 3292108.735961, lowerbound=1255405.735961, norm of subgrad 38.010932	 stepsize= 1.000000 
-dualbound = 3292174.323850, lowerbound=1253342.323850, norm of subgrad 1120.112193	dualbound = 3292174.323850, lowerbound=1253342.323850, norm of subgrad 37.075435	 stepsize= 1.000000 
-dualbound = 3292300.633124, lowerbound=1256759.633124, norm of subgrad 1121.626334	dualbound = 3292300.633124, lowerbound=1256759.633124, norm of subgrad 37.580703	 stepsize= 1.000000 
-dualbound = 3292386.366251, lowerbound=1252408.366251, norm of subgrad 1119.705928	dualbound = 3292386.366251, lowerbound=1252408.366251, norm of subgrad 37.666074	 stepsize= 1.000000 
-dualbound = 3292474.470482, lowerbound=1255829.470482, norm of subgrad 1121.211162	dualbound = 3292474.470482, lowerbound=1255829.470482, norm of subgrad 37.055421	 stepsize= 1.000000 
-dualbound = 3292584.810902, lowerbound=1255225.810902, norm of subgrad 1120.947729	dualbound = 3292584.810902, lowerbound=1255225.810902, norm of subgrad 37.527862	 stepsize= 1.000000 
-dualbound = 3292672.387432, lowerbound=1253048.387432, norm of subgrad 1119.957761	dualbound = 3292672.387432, lowerbound=1253048.387432, norm of subgrad 36.668468	 stepsize= 1.000000 
-dualbound = 3292777.253452, lowerbound=1253488.253452, norm of subgrad 1120.142961	dualbound = 3292777.253452, lowerbound=1253488.253452, norm of subgrad 36.563178	 stepsize= 1.000000 
-dualbound = 3292869.708550, lowerbound=1252478.708550, norm of subgrad 1119.698043	dualbound = 3292869.708550, lowerbound=1252478.708550, norm of subgrad 36.571233	 stepsize= 1.000000 
-dualbound = 3292951.073901, lowerbound=1255319.073901, norm of subgrad 1120.993789	dualbound = 3292951.073901, lowerbound=1255319.073901, norm of subgrad 37.274191	 stepsize= 1.000000 
-dualbound = 3293072.529134, lowerbound=1254896.529134, norm of subgrad 1120.792813	dualbound = 3293072.529134, lowerbound=1254896.529134, norm of subgrad 37.436015	 stepsize= 1.000000 
-dualbound = 3293107.528548, lowerbound=1261056.528548, norm of subgrad 1123.570438	dualbound = 3293107.528548, lowerbound=1261056.528548, norm of subgrad 37.269282	 stepsize= 1.000000 
-dualbound = 3293228.547948, lowerbound=1249224.547948, norm of subgrad 1118.274362	dualbound = 3293228.547948, lowerbound=1249224.547948, norm of subgrad 37.868449	 stepsize= 1.000000 
-dualbound = 3293331.151555, lowerbound=1254999.151555, norm of subgrad 1120.832794	dualbound = 3293331.151555, lowerbound=1254999.151555, norm of subgrad 37.008156	 stepsize= 1.000000 
-dualbound = 3293435.749119, lowerbound=1253168.749119, norm of subgrad 1120.019977	dualbound = 3293435.749119, lowerbound=1253168.749119, norm of subgrad 37.156393	 stepsize= 1.000000 
-dualbound = 3293522.761964, lowerbound=1250278.761964, norm of subgrad 1118.746514	dualbound = 3293522.761964, lowerbound=1250278.761964, norm of subgrad 37.443462	 stepsize= 1.000000 
-dualbound = 3293608.053560, lowerbound=1259858.053560, norm of subgrad 1122.983105	dualbound = 3293608.053560, lowerbound=1259858.053560, norm of subgrad 36.308286	 stepsize= 1.000000 
-dualbound = 3293735.578466, lowerbound=1252321.578466, norm of subgrad 1119.611798	dualbound = 3293735.578466, lowerbound=1252321.578466, norm of subgrad 36.558513	 stepsize= 1.000000 
-dualbound = 3293820.013216, lowerbound=1259343.013216, norm of subgrad 1122.779592	dualbound = 3293820.013216, lowerbound=1259343.013216, norm of subgrad 37.086854	 stepsize= 1.000000 
-dualbound = 3293912.473120, lowerbound=1246989.473120, norm of subgrad 1117.258911	dualbound = 3293912.473120, lowerbound=1246989.473120, norm of subgrad 37.019723	 stepsize= 1.000000 
-dualbound = 3293989.495774, lowerbound=1255473.495774, norm of subgrad 1121.048837	dualbound = 3293989.495774, lowerbound=1255473.495774, norm of subgrad 36.797047	 stepsize= 1.000000 
-dualbound = 3294091.466141, lowerbound=1251833.466141, norm of subgrad 1119.431760	dualbound = 3294091.466141, lowerbound=1251833.466141, norm of subgrad 37.362687	 stepsize= 1.000000 
-dualbound = 3294169.761936, lowerbound=1255994.761936, norm of subgrad 1121.300032	dualbound = 3294169.761936, lowerbound=1255994.761936, norm of subgrad 37.380420	 stepsize= 1.000000 
-dualbound = 3294255.348578, lowerbound=1256116.348578, norm of subgrad 1121.372083	dualbound = 3294255.348578, lowerbound=1256116.348578, norm of subgrad 38.007718	 stepsize= 1.000000 
-dualbound = 3294335.224481, lowerbound=1254227.224481, norm of subgrad 1120.534348	dualbound = 3294335.224481, lowerbound=1254227.224481, norm of subgrad 38.077236	 stepsize= 1.000000 
-dualbound = 3294452.542173, lowerbound=1252985.542173, norm of subgrad 1119.959616	dualbound = 3294452.542173, lowerbound=1252985.542173, norm of subgrad 37.964690	 stepsize= 1.000000 
-dualbound = 3294554.640390, lowerbound=1256164.640390, norm of subgrad 1121.357053	dualbound = 3294554.640390, lowerbound=1256164.640390, norm of subgrad 37.136212	 stepsize= 1.000000 
-dualbound = 3294655.970923, lowerbound=1252347.970923, norm of subgrad 1119.668688	dualbound = 3294655.970923, lowerbound=1252347.970923, norm of subgrad 37.567679	 stepsize= 1.000000 
-dualbound = 3294721.001917, lowerbound=1253254.001917, norm of subgrad 1120.083480	dualbound = 3294721.001917, lowerbound=1253254.001917, norm of subgrad 37.390253	 stepsize= 1.000000 
-dualbound = 3294843.851007, lowerbound=1256241.851007, norm of subgrad 1121.389696	dualbound = 3294843.851007, lowerbound=1256241.851007, norm of subgrad 37.361064	 stepsize= 1.000000 
-dualbound = 3294929.558144, lowerbound=1254275.558144, norm of subgrad 1120.537174	dualbound = 3294929.558144, lowerbound=1254275.558144, norm of subgrad 37.599297	 stepsize= 1.000000 
-dualbound = 3295030.200117, lowerbound=1252555.200117, norm of subgrad 1119.731307	dualbound = 3295030.200117, lowerbound=1252555.200117, norm of subgrad 36.655722	 stepsize= 1.000000 
-dualbound = 3295117.868744, lowerbound=1255809.868744, norm of subgrad 1121.215799	dualbound = 3295117.868744, lowerbound=1255809.868744, norm of subgrad 37.452218	 stepsize= 1.000000 
-dualbound = 3295208.776833, lowerbound=1253076.776833, norm of subgrad 1120.021329	dualbound = 3295208.776833, lowerbound=1253076.776833, norm of subgrad 38.234907	 stepsize= 1.000000 
-dualbound = 3295283.074922, lowerbound=1255680.074922, norm of subgrad 1121.166836	dualbound = 3295283.074922, lowerbound=1255680.074922, norm of subgrad 37.540619	 stepsize= 1.000000 
-dualbound = 3295387.071103, lowerbound=1254071.071103, norm of subgrad 1120.465114	dualbound = 3295387.071103, lowerbound=1254071.071103, norm of subgrad 38.405679	 stepsize= 1.000000 
-dualbound = 3295489.548554, lowerbound=1252323.548554, norm of subgrad 1119.635007	dualbound = 3295489.548554, lowerbound=1252323.548554, norm of subgrad 36.898204	 stepsize= 1.000000 
-dualbound = 3295596.289302, lowerbound=1253470.289302, norm of subgrad 1120.167527	dualbound = 3295596.289302, lowerbound=1253470.289302, norm of subgrad 37.573139	 stepsize= 1.000000 
-dualbound = 3295700.144814, lowerbound=1257505.144814, norm of subgrad 1121.949261	dualbound = 3295700.144814, lowerbound=1257505.144814, norm of subgrad 36.998047	 stepsize= 1.000000 
-dualbound = 3295777.191962, lowerbound=1254115.191962, norm of subgrad 1120.448657	dualbound = 3295777.191962, lowerbound=1254115.191962, norm of subgrad 36.973601	 stepsize= 1.000000 
-dualbound = 3295873.058793, lowerbound=1251157.058793, norm of subgrad 1119.144789	dualbound = 3295873.058793, lowerbound=1251157.058793, norm of subgrad 37.734160	 stepsize= 1.000000 
-dualbound = 3295972.732204, lowerbound=1255037.732204, norm of subgrad 1120.841529	dualbound = 3295972.732204, lowerbound=1255037.732204, norm of subgrad 36.710672	 stepsize= 1.000000 
-dualbound = 3296080.182489, lowerbound=1257723.182489, norm of subgrad 1122.027265	dualbound = 3296080.182489, lowerbound=1257723.182489, norm of subgrad 36.461628	 stepsize= 1.000000 
-dualbound = 3296171.866353, lowerbound=1253673.866353, norm of subgrad 1120.223132	dualbound = 3296171.866353, lowerbound=1253673.866353, norm of subgrad 36.299915	 stepsize= 1.000000 
-dualbound = 3296281.271065, lowerbound=1255583.271065, norm of subgrad 1121.073713	dualbound = 3296281.271065, lowerbound=1255583.271065, norm of subgrad 36.502119	 stepsize= 1.000000 
-dualbound = 3296347.713307, lowerbound=1253200.713307, norm of subgrad 1120.014604	dualbound = 3296347.713307, lowerbound=1253200.713307, norm of subgrad 36.033904	 stepsize= 1.000000 
-dualbound = 3296453.532102, lowerbound=1252614.532102, norm of subgrad 1119.779680	dualbound = 3296453.532102, lowerbound=1252614.532102, norm of subgrad 37.387415	 stepsize= 1.000000 
-dualbound = 3296516.182188, lowerbound=1250621.182188, norm of subgrad 1118.885688	dualbound = 3296516.182188, lowerbound=1250621.182188, norm of subgrad 36.696731	 stepsize= 1.000000 
-dualbound = 3296622.849888, lowerbound=1257325.849888, norm of subgrad 1121.853310	dualbound = 3296622.849888, lowerbound=1257325.849888, norm of subgrad 36.546788	 stepsize= 1.000000 
-dualbound = 3296735.202013, lowerbound=1249981.202013, norm of subgrad 1118.592062	dualbound = 3296735.202013, lowerbound=1249981.202013, norm of subgrad 37.139630	 stepsize= 1.000000 
-dualbound = 3296806.743532, lowerbound=1253273.743532, norm of subgrad 1120.065955	dualbound = 3296806.743532, lowerbound=1253273.743532, norm of subgrad 36.681624	 stepsize= 1.000000 
-dualbound = 3296912.923622, lowerbound=1253520.923622, norm of subgrad 1120.177630	dualbound = 3296912.923622, lowerbound=1253520.923622, norm of subgrad 37.191129	 stepsize= 1.000000 
-dualbound = 3297003.456929, lowerbound=1253025.456929, norm of subgrad 1120.015382	dualbound = 3297003.456929, lowerbound=1253025.456929, norm of subgrad 38.723808	 stepsize= 1.000000 
-dualbound = 3297034.632268, lowerbound=1256931.632268, norm of subgrad 1121.766300	dualbound = 3297034.632268, lowerbound=1256931.632268, norm of subgrad 38.199154	 stepsize= 1.000000 
-dualbound = 3297170.023707, lowerbound=1253325.023707, norm of subgrad 1120.132592	dualbound = 3297170.023707, lowerbound=1253325.023707, norm of subgrad 38.825139	 stepsize= 1.000000 
-dualbound = 3297260.422589, lowerbound=1256368.422589, norm of subgrad 1121.493389	dualbound = 3297260.422589, lowerbound=1256368.422589, norm of subgrad 38.332739	 stepsize= 1.000000 
-dualbound = 3297364.055425, lowerbound=1252742.055425, norm of subgrad 1119.874571	dualbound = 3297364.055425, lowerbound=1252742.055425, norm of subgrad 38.478992	 stepsize= 1.000000 
-dualbound = 3297445.560534, lowerbound=1259357.560534, norm of subgrad 1122.802993	dualbound = 3297445.560534, lowerbound=1259357.560534, norm of subgrad 37.556692	 stepsize= 1.000000 
-dualbound = 3297558.470119, lowerbound=1252711.470119, norm of subgrad 1119.843949	dualbound = 3297558.470119, lowerbound=1252711.470119, norm of subgrad 38.103931	 stepsize= 1.000000 
-dualbound = 3297665.216948, lowerbound=1258351.216948, norm of subgrad 1122.340954	dualbound = 3297665.216948, lowerbound=1258351.216948, norm of subgrad 37.479952	 stepsize= 1.000000 
-dualbound = 3297777.827945, lowerbound=1252774.827945, norm of subgrad 1119.861522	dualbound = 3297777.827945, lowerbound=1252774.827945, norm of subgrad 37.783740	 stepsize= 1.000000 
-dualbound = 3297842.182500, lowerbound=1257800.182500, norm of subgrad 1122.097225	dualbound = 3297842.182500, lowerbound=1257800.182500, norm of subgrad 36.964233	 stepsize= 1.000000 
-dualbound = 3297953.156199, lowerbound=1250077.156199, norm of subgrad 1118.653725	dualbound = 3297953.156199, lowerbound=1250077.156199, norm of subgrad 37.682538	 stepsize= 1.000000 
-dualbound = 3298034.327592, lowerbound=1259842.327592, norm of subgrad 1123.012612	dualbound = 3298034.327592, lowerbound=1259842.327592, norm of subgrad 37.365377	 stepsize= 1.000000 
-dualbound = 3298120.916240, lowerbound=1250879.916240, norm of subgrad 1119.002644	dualbound = 3298120.916240, lowerbound=1250879.916240, norm of subgrad 37.061957	 stepsize= 1.000000 
-dualbound = 3298218.797889, lowerbound=1257385.797889, norm of subgrad 1121.898301	dualbound = 3298218.797889, lowerbound=1257385.797889, norm of subgrad 36.984884	 stepsize= 1.000000 
-dualbound = 3298346.122034, lowerbound=1255475.122034, norm of subgrad 1121.040642	dualbound = 3298346.122034, lowerbound=1255475.122034, norm of subgrad 37.206507	 stepsize= 1.000000 
-dualbound = 3298414.213562, lowerbound=1256386.213562, norm of subgrad 1121.445591	dualbound = 3298414.213562, lowerbound=1256386.213562, norm of subgrad 36.360577	 stepsize= 1.000000 
-dualbound = 3298514.666434, lowerbound=1253076.666434, norm of subgrad 1119.976190	dualbound = 3298514.666434, lowerbound=1253076.666434, norm of subgrad 37.019628	 stepsize= 1.000000 
-dualbound = 3298624.419524, lowerbound=1256302.419524, norm of subgrad 1121.396192	dualbound = 3298624.419524, lowerbound=1256302.419524, norm of subgrad 36.561634	 stepsize= 1.000000 
-dualbound = 3298721.888999, lowerbound=1252267.888999, norm of subgrad 1119.628907	dualbound = 3298721.888999, lowerbound=1252267.888999, norm of subgrad 37.396116	 stepsize= 1.000000 
-dualbound = 3298786.017693, lowerbound=1253228.017693, norm of subgrad 1120.052239	dualbound = 3298786.017693, lowerbound=1253228.017693, norm of subgrad 36.784898	 stepsize= 1.000000 
-dualbound = 3298907.729107, lowerbound=1254163.729107, norm of subgrad 1120.454697	dualbound = 3298907.729107, lowerbound=1254163.729107, norm of subgrad 37.104062	 stepsize= 1.000000 
-dualbound = 3298994.191431, lowerbound=1256186.191431, norm of subgrad 1121.359528	dualbound = 3298994.191431, lowerbound=1256186.191431, norm of subgrad 36.707796	 stepsize= 1.000000 
-dualbound = 3299072.635569, lowerbound=1252031.635569, norm of subgrad 1119.525630	dualbound = 3299072.635569, lowerbound=1252031.635569, norm of subgrad 37.208119	 stepsize= 1.000000 
-dualbound = 3299180.357245, lowerbound=1256553.357245, norm of subgrad 1121.544184	dualbound = 3299180.357245, lowerbound=1256553.357245, norm of subgrad 37.626077	 stepsize= 1.000000 
-dualbound = 3299248.020185, lowerbound=1253871.020185, norm of subgrad 1120.389227	dualbound = 3299248.020185, lowerbound=1253871.020185, norm of subgrad 38.323138	 stepsize= 1.000000 
-dualbound = 3299339.420403, lowerbound=1258137.420403, norm of subgrad 1122.244368	dualbound = 3299339.420403, lowerbound=1258137.420403, norm of subgrad 37.234396	 stepsize= 1.000000 
-dualbound = 3299450.188632, lowerbound=1253114.188632, norm of subgrad 1120.002763	dualbound = 3299450.188632, lowerbound=1253114.188632, norm of subgrad 37.453548	 stepsize= 1.000000 
-dualbound = 3299552.541788, lowerbound=1256929.541788, norm of subgrad 1121.736842	dualbound = 3299552.541788, lowerbound=1256929.541788, norm of subgrad 38.292991	 stepsize= 1.000000 
-dualbound = 3299590.735585, lowerbound=1250604.735585, norm of subgrad 1118.931068	dualbound = 3299590.735585, lowerbound=1250604.735585, norm of subgrad 37.949885	 stepsize= 1.000000 
-dualbound = 3299717.439043, lowerbound=1256967.439043, norm of subgrad 1121.722086	dualbound = 3299717.439043, lowerbound=1256967.439043, norm of subgrad 37.678952	 stepsize= 1.000000 
-dualbound = 3299819.035230, lowerbound=1252232.035231, norm of subgrad 1119.605750	dualbound = 3299819.035230, lowerbound=1252232.035231, norm of subgrad 37.237027	 stepsize= 1.000000 
-dualbound = 3299890.163645, lowerbound=1256823.163645, norm of subgrad 1121.676497	dualbound = 3299890.163645, lowerbound=1256823.163645, norm of subgrad 37.498379	 stepsize= 1.000000 
-dualbound = 3300011.435125, lowerbound=1256791.435125, norm of subgrad 1121.651655	dualbound = 3300011.435125, lowerbound=1256791.435125, norm of subgrad 37.845363	 stepsize= 1.000000 
-dualbound = 3300095.873060, lowerbound=1249158.873060, norm of subgrad 1118.257516	dualbound = 3300095.873060, lowerbound=1249158.873060, norm of subgrad 37.754972	 stepsize= 1.000000 
-dualbound = 3300201.146994, lowerbound=1252252.146994, norm of subgrad 1119.604907	dualbound = 3300201.146994, lowerbound=1252252.146994, norm of subgrad 36.990187	 stepsize= 1.000000 
-dualbound = 3300295.337714, lowerbound=1252196.337714, norm of subgrad 1119.602312	dualbound = 3300295.337714, lowerbound=1252196.337714, norm of subgrad 37.512541	 stepsize= 1.000000 
-dualbound = 3300371.147334, lowerbound=1255438.147334, norm of subgrad 1121.051804	dualbound = 3300371.147334, lowerbound=1255438.147334, norm of subgrad 37.347150	 stepsize= 1.000000 
-dualbound = 3300487.430255, lowerbound=1257889.430255, norm of subgrad 1122.128081	dualbound = 3300487.430255, lowerbound=1257889.430255, norm of subgrad 37.393621	 stepsize= 1.000000 
-dualbound = 3300585.593165, lowerbound=1254094.593165, norm of subgrad 1120.463115	dualbound = 3300585.593165, lowerbound=1254094.593165, norm of subgrad 37.962652	 stepsize= 1.000000 
-dualbound = 3300672.946171, lowerbound=1257684.946171, norm of subgrad 1122.039191	dualbound = 3300672.946171, lowerbound=1257684.946171, norm of subgrad 37.072267	 stepsize= 1.000000 
-dualbound = 3300781.897039, lowerbound=1253894.897039, norm of subgrad 1120.341420	dualbound = 3300781.897039, lowerbound=1253894.897039, norm of subgrad 37.134228	 stepsize= 1.000000 
-dualbound = 3300851.241022, lowerbound=1258075.241022, norm of subgrad 1122.237605	dualbound = 3300851.241022, lowerbound=1258075.241022, norm of subgrad 37.567858	 stepsize= 1.000000 
-dualbound = 3300935.069557, lowerbound=1250630.069557, norm of subgrad 1118.892787	dualbound = 3300935.069557, lowerbound=1250630.069557, norm of subgrad 37.078680	 stepsize= 1.000000 
-dualbound = 3301065.448344, lowerbound=1260685.448344, norm of subgrad 1123.383037	dualbound = 3301065.448344, lowerbound=1260685.448344, norm of subgrad 37.873194	 stepsize= 1.000000 
-dualbound = 3301149.849862, lowerbound=1253456.849862, norm of subgrad 1120.165992	dualbound = 3301149.849862, lowerbound=1253456.849862, norm of subgrad 37.408575	 stepsize= 1.000000 
-dualbound = 3301225.497486, lowerbound=1256082.497486, norm of subgrad 1121.360111	dualbound = 3301225.497486, lowerbound=1256082.497486, norm of subgrad 37.969035	 stepsize= 1.000000 
-dualbound = 3301333.464775, lowerbound=1251504.464775, norm of subgrad 1119.283460	dualbound = 3301333.464775, lowerbound=1251504.464775, norm of subgrad 37.402771	 stepsize= 1.000000 
-dualbound = 3301403.217300, lowerbound=1252521.217300, norm of subgrad 1119.750962	dualbound = 3301403.217300, lowerbound=1252521.217300, norm of subgrad 37.292795	 stepsize= 1.000000 
-dualbound = 3301555.952877, lowerbound=1252397.952877, norm of subgrad 1119.667340	dualbound = 3301555.952877, lowerbound=1252397.952877, norm of subgrad 37.546446	 stepsize= 1.000000 
-dualbound = 3301607.963265, lowerbound=1256117.963265, norm of subgrad 1121.333119	dualbound = 3301607.963265, lowerbound=1256117.963265, norm of subgrad 36.359461	 stepsize= 1.000000 
-dualbound = 3301747.654838, lowerbound=1260928.654838, norm of subgrad 1123.457901	dualbound = 3301747.654838, lowerbound=1260928.654838, norm of subgrad 36.995832	 stepsize= 1.000000 
-dualbound = 3301824.353655, lowerbound=1253655.353655, norm of subgrad 1120.225582	dualbound = 3301824.353655, lowerbound=1253655.353655, norm of subgrad 36.423877	 stepsize= 1.000000 
-dualbound = 3301915.261323, lowerbound=1254078.261323, norm of subgrad 1120.411648	dualbound = 3301915.261323, lowerbound=1254078.261323, norm of subgrad 36.536388	 stepsize= 1.000000 
-dualbound = 3301984.287867, lowerbound=1255589.287867, norm of subgrad 1121.120104	dualbound = 3301984.287867, lowerbound=1255589.287867, norm of subgrad 37.283060	 stepsize= 1.000000 
-dualbound = 3302082.235456, lowerbound=1254297.235456, norm of subgrad 1120.527659	dualbound = 3302082.235456, lowerbound=1254297.235456, norm of subgrad 37.188003	 stepsize= 1.000000 
-dualbound = 3302185.730041, lowerbound=1256543.730041, norm of subgrad 1121.534988	dualbound = 3302185.730041, lowerbound=1256543.730041, norm of subgrad 37.423182	 stepsize= 1.000000 
-dualbound = 3302297.433781, lowerbound=1254251.433781, norm of subgrad 1120.492050	dualbound = 3302297.433781, lowerbound=1254251.433781, norm of subgrad 36.914817	 stepsize= 1.000000 
-dualbound = 3302385.723075, lowerbound=1256823.723075, norm of subgrad 1121.662482	dualbound = 3302385.723075, lowerbound=1256823.723075, norm of subgrad 37.299991	 stepsize= 1.000000 
-dualbound = 3302451.187923, lowerbound=1251223.187923, norm of subgrad 1119.183715	dualbound = 3302451.187923, lowerbound=1251223.187923, norm of subgrad 37.609372	 stepsize= 1.000000 
-dualbound = 3302542.445042, lowerbound=1255342.445042, norm of subgrad 1121.011349	dualbound = 3302542.445042, lowerbound=1255342.445042, norm of subgrad 37.619903	 stepsize= 1.000000 
-dualbound = 3302639.186259, lowerbound=1258920.186259, norm of subgrad 1122.631812	dualbound = 3302639.186259, lowerbound=1258920.186259, norm of subgrad 38.454404	 stepsize= 1.000000 
-dualbound = 3302716.395479, lowerbound=1253591.395479, norm of subgrad 1120.225154	dualbound = 3302716.395479, lowerbound=1253591.395479, norm of subgrad 37.285510	 stepsize= 1.000000 
-dualbound = 3302853.571663, lowerbound=1256832.571663, norm of subgrad 1121.661523	dualbound = 3302853.571663, lowerbound=1256832.571663, norm of subgrad 37.804447	 stepsize= 1.000000 
-dualbound = 3302916.434712, lowerbound=1254421.434712, norm of subgrad 1120.579955	dualbound = 3302916.434712, lowerbound=1254421.434712, norm of subgrad 36.617797	 stepsize= 1.000000 
-dualbound = 3303051.104392, lowerbound=1256097.104392, norm of subgrad 1121.334074	dualbound = 3303051.104392, lowerbound=1256097.104392, norm of subgrad 37.784516	 stepsize= 1.000000 
-dualbound = 3303109.761709, lowerbound=1252870.761709, norm of subgrad 1119.890067	dualbound = 3303109.761709, lowerbound=1252870.761709, norm of subgrad 36.628641	 stepsize= 1.000000 
-dualbound = 3303204.472001, lowerbound=1263061.472001, norm of subgrad 1124.456523	dualbound = 3303204.472001, lowerbound=1263061.472001, norm of subgrad 37.890768	 stepsize= 1.000000 
-dualbound = 3303304.222945, lowerbound=1249114.222945, norm of subgrad 1118.215195	dualbound = 3303304.222945, lowerbound=1249114.222945, norm of subgrad 37.292773	 stepsize= 1.000000 
-dualbound = 3303392.708447, lowerbound=1259337.708447, norm of subgrad 1122.779011	dualbound = 3303392.708447, lowerbound=1259337.708447, norm of subgrad 37.195235	 stepsize= 1.000000 
-dualbound = 3303503.460205, lowerbound=1251790.460205, norm of subgrad 1119.396025	dualbound = 3303503.460205, lowerbound=1251790.460205, norm of subgrad 36.983128	 stepsize= 1.000000 
-dualbound = 3303598.081459, lowerbound=1254457.081459, norm of subgrad 1120.586044	dualbound = 3303598.081459, lowerbound=1254457.081459, norm of subgrad 36.750799	 stepsize= 1.000000 
-dualbound = 3303679.813109, lowerbound=1256282.813109, norm of subgrad 1121.426686	dualbound = 3303679.813109, lowerbound=1256282.813109, norm of subgrad 37.372873	 stepsize= 1.000000 
-dualbound = 3303779.332896, lowerbound=1256872.332896, norm of subgrad 1121.671669	dualbound = 3303779.332896, lowerbound=1256872.332896, norm of subgrad 37.074517	 stepsize= 1.000000 
-dualbound = 3303867.562653, lowerbound=1252005.562653, norm of subgrad 1119.488527	dualbound = 3303867.562653, lowerbound=1252005.562653, norm of subgrad 36.568152	 stepsize= 1.000000 
-dualbound = 3303973.145388, lowerbound=1259443.145388, norm of subgrad 1122.834425	dualbound = 3303973.145388, lowerbound=1259443.145388, norm of subgrad 37.677350	 stepsize= 1.000000 
-dualbound = 3304028.141930, lowerbound=1250990.141930, norm of subgrad 1119.059043	dualbound = 3304028.141930, lowerbound=1250990.141930, norm of subgrad 36.851005	 stepsize= 1.000000 
-dualbound = 3304146.859670, lowerbound=1261660.859670, norm of subgrad 1123.811310	dualbound = 3304146.859670, lowerbound=1261660.859670, norm of subgrad 37.546208	 stepsize= 1.000000 
-dualbound = 3304245.938332, lowerbound=1246568.938332, norm of subgrad 1117.072038	dualbound = 3304245.938332, lowerbound=1246568.938332, norm of subgrad 37.149410	 stepsize= 1.000000 
-dualbound = 3304345.107666, lowerbound=1259420.107666, norm of subgrad 1122.818377	dualbound = 3304345.107666, lowerbound=1259420.107666, norm of subgrad 37.418837	 stepsize= 1.000000 
-dualbound = 3304406.153896, lowerbound=1254432.153896, norm of subgrad 1120.604370	dualbound = 3304406.153896, lowerbound=1254432.153896, norm of subgrad 37.189330	 stepsize= 1.000000 
-dualbound = 3304522.922585, lowerbound=1256427.922585, norm of subgrad 1121.495396	dualbound = 3304522.922585, lowerbound=1256427.922585, norm of subgrad 37.957459	 stepsize= 1.000000 
-dualbound = 3304610.522378, lowerbound=1251116.522378, norm of subgrad 1119.094957	dualbound = 3304610.522378, lowerbound=1251116.522378, norm of subgrad 36.668785	 stepsize= 1.000000 
-dualbound = 3304729.145496, lowerbound=1256207.145496, norm of subgrad 1121.373330	dualbound = 3304729.145496, lowerbound=1256207.145496, norm of subgrad 37.277649	 stepsize= 1.000000 
-dualbound = 3304793.461508, lowerbound=1251690.461508, norm of subgrad 1119.375478	dualbound = 3304793.461508, lowerbound=1251690.461508, norm of subgrad 37.085253	 stepsize= 1.000000 
-dualbound = 3304922.952684, lowerbound=1258667.952684, norm of subgrad 1122.474923	dualbound = 3304922.952684, lowerbound=1258667.952684, norm of subgrad 37.569817	 stepsize= 1.000000 
-dualbound = 3304985.749640, lowerbound=1245933.749640, norm of subgrad 1116.791274	dualbound = 3304985.749640, lowerbound=1245933.749640, norm of subgrad 36.766791	 stepsize= 1.000000 
-dualbound = 3305099.061323, lowerbound=1258516.061323, norm of subgrad 1122.400134	dualbound = 3305099.061323, lowerbound=1258516.061323, norm of subgrad 37.139086	 stepsize= 1.000000 
-dualbound = 3305178.399271, lowerbound=1255978.399271, norm of subgrad 1121.274453	dualbound = 3305178.399271, lowerbound=1255978.399271, norm of subgrad 36.842068	 stepsize= 1.000000 
-dualbound = 3305271.905909, lowerbound=1260983.905909, norm of subgrad 1123.548800	dualbound = 3305271.905909, lowerbound=1260983.905909, norm of subgrad 38.360222	 stepsize= 1.000000 
-dualbound = 3305333.522564, lowerbound=1261375.522564, norm of subgrad 1123.712829	dualbound = 3305333.522564, lowerbound=1261375.522564, norm of subgrad 37.637968	 stepsize= 1.000000 
-dualbound = 3305447.925962, lowerbound=1257294.925962, norm of subgrad 1121.879194	dualbound = 3305447.925962, lowerbound=1257294.925962, norm of subgrad 37.847106	 stepsize= 1.000000 
-dualbound = 3305553.806153, lowerbound=1253712.806153, norm of subgrad 1120.266400	dualbound = 3305553.806153, lowerbound=1253712.806153, norm of subgrad 37.281097	 stepsize= 1.000000 
-dualbound = 3305647.473358, lowerbound=1253802.473358, norm of subgrad 1120.293923	dualbound = 3305647.473358, lowerbound=1253802.473358, norm of subgrad 36.737817	 stepsize= 1.000000 
-dualbound = 3305748.725567, lowerbound=1252151.725567, norm of subgrad 1119.580603	dualbound = 3305748.725567, lowerbound=1252151.725567, norm of subgrad 37.553325	 stepsize= 1.000000 
-dualbound = 3305830.374388, lowerbound=1255580.374388, norm of subgrad 1121.115683	dualbound = 3305830.374388, lowerbound=1255580.374388, norm of subgrad 37.438601	 stepsize= 1.000000 
-dualbound = 3305910.913142, lowerbound=1255053.913142, norm of subgrad 1120.828673	dualbound = 3305910.913142, lowerbound=1255053.913142, norm of subgrad 35.826509	 stepsize= 1.000000 
-dualbound = 3306047.422563, lowerbound=1254540.422563, norm of subgrad 1120.620106	dualbound = 3306047.422563, lowerbound=1254540.422563, norm of subgrad 37.222432	 stepsize= 1.000000 
-dualbound = 3306088.960974, lowerbound=1254780.960974, norm of subgrad 1120.743932	dualbound = 3306088.960974, lowerbound=1254780.960974, norm of subgrad 36.435401	 stepsize= 1.000000 
-dualbound = 3306198.474658, lowerbound=1252886.474658, norm of subgrad 1119.929228	dualbound = 3306198.474658, lowerbound=1252886.474658, norm of subgrad 38.268965	 stepsize= 1.000000 
-dualbound = 3306277.120628, lowerbound=1254258.120628, norm of subgrad 1120.504405	dualbound = 3306277.120628, lowerbound=1254258.120628, norm of subgrad 36.751136	 stepsize= 1.000000 
-dualbound = 3306385.827112, lowerbound=1259908.827112, norm of subgrad 1123.038213	dualbound = 3306385.827112, lowerbound=1259908.827112, norm of subgrad 37.612584	 stepsize= 1.000000 
-dualbound = 3306471.196557, lowerbound=1252350.196557, norm of subgrad 1119.678613	dualbound = 3306471.196557, lowerbound=1252350.196557, norm of subgrad 37.621396	 stepsize= 1.000000 
-dualbound = 3306584.161510, lowerbound=1258424.161510, norm of subgrad 1122.369441	dualbound = 3306584.161510, lowerbound=1258424.161510, norm of subgrad 37.442822	 stepsize= 1.000000 
-dualbound = 3306683.817496, lowerbound=1251155.817496, norm of subgrad 1119.131725	dualbound = 3306683.817496, lowerbound=1251155.817496, norm of subgrad 37.411977	 stepsize= 1.000000 
-dualbound = 3306754.933910, lowerbound=1259416.933910, norm of subgrad 1122.847244	dualbound = 3306754.933910, lowerbound=1259416.933910, norm of subgrad 37.948866	 stepsize= 1.000000 
-dualbound = 3306856.270535, lowerbound=1255099.270535, norm of subgrad 1120.872995	dualbound = 3306856.270535, lowerbound=1255099.270535, norm of subgrad 36.855619	 stepsize= 1.000000 
-dualbound = 3306967.182456, lowerbound=1258471.182456, norm of subgrad 1122.375687	dualbound = 3306967.182456, lowerbound=1258471.182456, norm of subgrad 36.971772	 stepsize= 1.000000 
-dualbound = 3307047.826812, lowerbound=1253612.826812, norm of subgrad 1120.228917	dualbound = 3307047.826812, lowerbound=1253612.826812, norm of subgrad 37.157023	 stepsize= 1.000000 
-dualbound = 3307136.805062, lowerbound=1259772.805062, norm of subgrad 1122.990118	dualbound = 3307136.805062, lowerbound=1259772.805062, norm of subgrad 37.722384	 stepsize= 1.000000 
-dualbound = 3307240.930037, lowerbound=1255910.930037, norm of subgrad 1121.240799	dualbound = 3307240.930037, lowerbound=1255910.930037, norm of subgrad 37.069192	 stepsize= 1.000000 
-dualbound = 3307318.942516, lowerbound=1259219.942516, norm of subgrad 1122.717214	dualbound = 3307318.942516, lowerbound=1259219.942516, norm of subgrad 36.769722	 stepsize= 1.000000 
-dualbound = 3307433.387028, lowerbound=1249527.387028, norm of subgrad 1118.388299	dualbound = 3307433.387028, lowerbound=1249527.387028, norm of subgrad 37.140874	 stepsize= 1.000000 
-dualbound = 3307527.315281, lowerbound=1256454.315281, norm of subgrad 1121.487100	dualbound = 3307527.315281, lowerbound=1256454.315281, norm of subgrad 37.053046	 stepsize= 1.000000 
-dualbound = 3307604.623346, lowerbound=1256306.623346, norm of subgrad 1121.438640	dualbound = 3307604.623346, lowerbound=1256306.623346, norm of subgrad 37.353823	 stepsize= 1.000000 
-dualbound = 3307695.124841, lowerbound=1257526.124841, norm of subgrad 1121.969307	dualbound = 3307695.124841, lowerbound=1257526.124841, norm of subgrad 37.141641	 stepsize= 1.000000 
-dualbound = 3307801.728725, lowerbound=1255414.728725, norm of subgrad 1121.028871	dualbound = 3307801.728725, lowerbound=1255414.728725, norm of subgrad 37.384541	 stepsize= 1.000000 
-dualbound = 3307884.138844, lowerbound=1256120.138844, norm of subgrad 1121.326954	dualbound = 3307884.138844, lowerbound=1256120.138844, norm of subgrad 36.556944	 stepsize= 1.000000 
-dualbound = 3307980.888097, lowerbound=1252695.888097, norm of subgrad 1119.806183	dualbound = 3307980.888097, lowerbound=1252695.888097, norm of subgrad 36.969572	 stepsize= 1.000000 
-dualbound = 3308081.453009, lowerbound=1255964.453009, norm of subgrad 1121.278936	dualbound = 3308081.453009, lowerbound=1255964.453009, norm of subgrad 37.450833	 stepsize= 1.000000 
-dualbound = 3308158.596296, lowerbound=1254181.596296, norm of subgrad 1120.480967	dualbound = 3308158.596296, lowerbound=1254181.596296, norm of subgrad 37.055948	 stepsize= 1.000000 
-dualbound = 3308261.739092, lowerbound=1255004.739092, norm of subgrad 1120.827257	dualbound = 3308261.739092, lowerbound=1255004.739092, norm of subgrad 36.771494	 stepsize= 1.000000 
-dualbound = 3308358.105619, lowerbound=1257714.105619, norm of subgrad 1122.060206	dualbound = 3308358.105619, lowerbound=1257714.105619, norm of subgrad 37.434830	 stepsize= 1.000000 
-dualbound = 3308462.470654, lowerbound=1256840.470654, norm of subgrad 1121.658357	dualbound = 3308462.470654, lowerbound=1256840.470654, norm of subgrad 37.166719	 stepsize= 1.000000 
-dualbound = 3308514.639735, lowerbound=1257097.639735, norm of subgrad 1121.789927	dualbound = 3308514.639735, lowerbound=1257097.639735, norm of subgrad 36.975250	 stepsize= 1.000000 
-dualbound = 3308634.983739, lowerbound=1253927.983739, norm of subgrad 1120.355294	dualbound = 3308634.983739, lowerbound=1253927.983739, norm of subgrad 37.260489	 stepsize= 1.000000 
-dualbound = 3308745.420285, lowerbound=1256709.420285, norm of subgrad 1121.578540	dualbound = 3308745.420285, lowerbound=1256709.420285, norm of subgrad 36.598313	 stepsize= 1.000000 
-dualbound = 3308836.714826, lowerbound=1257953.714826, norm of subgrad 1122.170092	dualbound = 3308836.714826, lowerbound=1257953.714826, norm of subgrad 37.460573	 stepsize= 1.000000 
-dualbound = 3308908.418463, lowerbound=1252703.418463, norm of subgrad 1119.811332	dualbound = 3308908.418463, lowerbound=1252703.418463, norm of subgrad 36.683833	 stepsize= 1.000000 
-dualbound = 3309006.027313, lowerbound=1256814.027313, norm of subgrad 1121.670641	dualbound = 3309006.027313, lowerbound=1256814.027313, norm of subgrad 37.796942	 stepsize= 1.000000 
-dualbound = 3309077.377413, lowerbound=1256831.377413, norm of subgrad 1121.661436	dualbound = 3309077.377413, lowerbound=1256831.377413, norm of subgrad 36.937110	 stepsize= 1.000000 
-dualbound = 3309207.303313, lowerbound=1260452.303313, norm of subgrad 1123.268135	dualbound = 3309207.303313, lowerbound=1260452.303313, norm of subgrad 37.535662	 stepsize= 1.000000 
-dualbound = 3309266.096726, lowerbound=1257824.096726, norm of subgrad 1122.090949	dualbound = 3309266.096726, lowerbound=1257824.096726, norm of subgrad 36.370227	 stepsize= 1.000000 
-dualbound = 3309378.418980, lowerbound=1253372.418980, norm of subgrad 1120.117592	dualbound = 3309378.418980, lowerbound=1253372.418980, norm of subgrad 37.460943	 stepsize= 1.000000 
-dualbound = 3309462.508938, lowerbound=1261729.508938, norm of subgrad 1123.840073	dualbound = 3309462.508938, lowerbound=1261729.508938, norm of subgrad 37.028232	 stepsize= 1.000000 
-dualbound = 3309573.964203, lowerbound=1255643.964203, norm of subgrad 1121.129325	dualbound = 3309573.964203, lowerbound=1255643.964203, norm of subgrad 37.395926	 stepsize= 1.000000 
-dualbound = 3309647.626822, lowerbound=1251145.626822, norm of subgrad 1119.108407	dualbound = 3309647.626822, lowerbound=1251145.626822, norm of subgrad 36.491953	 stepsize= 1.000000 
-dualbound = 3309742.175437, lowerbound=1254971.175437, norm of subgrad 1120.862692	dualbound = 3309742.175437, lowerbound=1254971.175437, norm of subgrad 38.164756	 stepsize= 1.000000 
-dualbound = 3309829.502987, lowerbound=1255884.502987, norm of subgrad 1121.229460	dualbound = 3309829.502987, lowerbound=1255884.502987, norm of subgrad 36.855496	 stepsize= 1.000000 
-dualbound = 3309935.000760, lowerbound=1250232.000760, norm of subgrad 1118.713547	dualbound = 3309935.000760, lowerbound=1250232.000760, norm of subgrad 37.329583	 stepsize= 1.000000 
-dualbound = 3310027.762181, lowerbound=1258164.762181, norm of subgrad 1122.269470	dualbound = 3310027.762181, lowerbound=1258164.762181, norm of subgrad 37.639891	 stepsize= 1.000000 
-dualbound = 3310079.600831, lowerbound=1256134.600831, norm of subgrad 1121.361494	dualbound = 3310079.600831, lowerbound=1256134.600831, norm of subgrad 36.997820	 stepsize= 1.000000 
-dualbound = 3310214.281276, lowerbound=1260490.281276, norm of subgrad 1123.255662	dualbound = 3310214.281276, lowerbound=1260490.281276, norm of subgrad 36.710767	 stepsize= 1.000000 
-dualbound = 3310335.884606, lowerbound=1253813.884606, norm of subgrad 1120.295445	dualbound = 3310335.884606, lowerbound=1253813.884606, norm of subgrad 37.008152	 stepsize= 1.000000 
-dualbound = 3310386.761126, lowerbound=1253107.761126, norm of subgrad 1120.011500	dualbound = 3310386.761126, lowerbound=1253107.761126, norm of subgrad 36.998331	 stepsize= 1.000000 
-dualbound = 3310481.069353, lowerbound=1258275.069353, norm of subgrad 1122.302575	dualbound = 3310481.069353, lowerbound=1258275.069353, norm of subgrad 37.179406	 stepsize= 1.000000 
-dualbound = 3310565.076937, lowerbound=1254695.076937, norm of subgrad 1120.698923	dualbound = 3310565.076937, lowerbound=1254695.076937, norm of subgrad 36.810428	 stepsize= 1.000000 
-dualbound = 3310700.838208, lowerbound=1257027.838208, norm of subgrad 1121.726722	dualbound = 3310700.838208, lowerbound=1257027.838208, norm of subgrad 37.131675	 stepsize= 1.000000 
-dualbound = 3310755.981994, lowerbound=1257641.981994, norm of subgrad 1122.032968	dualbound = 3310755.981994, lowerbound=1257641.981994, norm of subgrad 37.028959	 stepsize= 1.000000 
-dualbound = 3310869.686251, lowerbound=1255719.686251, norm of subgrad 1121.148378	dualbound = 3310869.686251, lowerbound=1255719.686251, norm of subgrad 36.982486	 stepsize= 1.000000 
-dualbound = 3310962.065684, lowerbound=1254825.065684, norm of subgrad 1120.753794	dualbound = 3310962.065684, lowerbound=1254825.065684, norm of subgrad 36.829057	 stepsize= 1.000000 
-dualbound = 3311069.971410, lowerbound=1256300.971410, norm of subgrad 1121.436566	dualbound = 3311069.971410, lowerbound=1256300.971410, norm of subgrad 37.774406	 stepsize= 1.000000 
-dualbound = 3311140.526676, lowerbound=1254881.526676, norm of subgrad 1120.754891	dualbound = 3311140.526676, lowerbound=1254881.526676, norm of subgrad 35.784847	 stepsize= 1.000000 
-dualbound = 3311287.860093, lowerbound=1257593.860093, norm of subgrad 1121.976765	dualbound = 3311287.860093, lowerbound=1257593.860093, norm of subgrad 37.220067	 stepsize= 1.000000 
-dualbound = 3311333.791521, lowerbound=1255635.791521, norm of subgrad 1121.127018	dualbound = 3311333.791521, lowerbound=1255635.791521, norm of subgrad 36.550396	 stepsize= 1.000000 
-dualbound = 3311418.326716, lowerbound=1255601.326716, norm of subgrad 1121.137069	dualbound = 3311418.326716, lowerbound=1255601.326716, norm of subgrad 37.835634	 stepsize= 1.000000 
-dualbound = 3311520.599371, lowerbound=1254873.599371, norm of subgrad 1120.781245	dualbound = 3311520.599371, lowerbound=1254873.599371, norm of subgrad 37.138560	 stepsize= 1.000000 
-dualbound = 3311621.546773, lowerbound=1256995.546773, norm of subgrad 1121.732832	dualbound = 3311621.546773, lowerbound=1256995.546773, norm of subgrad 37.281998	 stepsize= 1.000000 
-dualbound = 3311723.678766, lowerbound=1258317.678766, norm of subgrad 1122.296609	dualbound = 3311723.678766, lowerbound=1258317.678766, norm of subgrad 36.525772	 stepsize= 1.000000 
-dualbound = 3311802.559138, lowerbound=1255326.559138, norm of subgrad 1120.984192	dualbound = 3311802.559138, lowerbound=1255326.559138, norm of subgrad 36.849428	 stepsize= 1.000000 
-dualbound = 3311887.073617, lowerbound=1254339.073617, norm of subgrad 1120.537850	dualbound = 3311887.073617, lowerbound=1254339.073617, norm of subgrad 36.749347	 stepsize= 1.000000 
-dualbound = 3311985.975040, lowerbound=1255488.975040, norm of subgrad 1121.083839	dualbound = 3311985.975040, lowerbound=1255488.975040, norm of subgrad 37.932854	 stepsize= 1.000000 
-dualbound = 3312068.567939, lowerbound=1261440.567939, norm of subgrad 1123.704840	dualbound = 3312068.567939, lowerbound=1261440.567939, norm of subgrad 36.804795	 stepsize= 1.000000 
-dualbound = 3312177.418230, lowerbound=1251946.418230, norm of subgrad 1119.466578	dualbound = 3312177.418230, lowerbound=1251946.418230, norm of subgrad 36.984460	 stepsize= 1.000000 
-dualbound = 3312272.543565, lowerbound=1255089.543565, norm of subgrad 1120.900773	dualbound = 3312272.543565, lowerbound=1255089.543565, norm of subgrad 37.737585	 stepsize= 1.000000 
-dualbound = 3312329.002117, lowerbound=1253555.002117, norm of subgrad 1120.181236	dualbound = 3312329.002117, lowerbound=1253555.002117, norm of subgrad 36.158796	 stepsize= 1.000000 
-dualbound = 3312477.070573, lowerbound=1257419.070573, norm of subgrad 1121.895749	dualbound = 3312477.070573, lowerbound=1257419.070573, norm of subgrad 37.135811	 stepsize= 1.000000 
-dualbound = 3312555.264715, lowerbound=1255693.264715, norm of subgrad 1121.121878	dualbound = 3312555.264715, lowerbound=1255693.264715, norm of subgrad 36.044336	 stepsize= 1.000000 
-dualbound = 3312641.395527, lowerbound=1256789.395527, norm of subgrad 1121.640493	dualbound = 3312641.395527, lowerbound=1256789.395527, norm of subgrad 37.069270	 stepsize= 1.000000 
-dualbound = 3312709.906329, lowerbound=1256578.906329, norm of subgrad 1121.540863	dualbound = 3312709.906329, lowerbound=1256578.906329, norm of subgrad 36.653933	 stepsize= 1.000000 
-dualbound = 3312805.394554, lowerbound=1255777.394554, norm of subgrad 1121.190169	dualbound = 3312805.394554, lowerbound=1255777.394554, norm of subgrad 37.222147	 stepsize= 1.000000 
-dualbound = 3312903.034697, lowerbound=1258637.034697, norm of subgrad 1122.465605	dualbound = 3312903.034697, lowerbound=1258637.034697, norm of subgrad 37.277877	 stepsize= 1.000000 
-dualbound = 3312984.565427, lowerbound=1262589.565427, norm of subgrad 1124.260897	dualbound = 3312984.565427, lowerbound=1262589.565427, norm of subgrad 38.138311	 stepsize= 1.000000 
-dualbound = 3313078.632641, lowerbound=1253626.632641, norm of subgrad 1120.261859	dualbound = 3313078.632641, lowerbound=1253626.632641, norm of subgrad 38.132233	 stepsize= 1.000000 
-dualbound = 3313156.328361, lowerbound=1254880.328361, norm of subgrad 1120.806106	dualbound = 3313156.328361, lowerbound=1254880.328361, norm of subgrad 37.465927	 stepsize= 1.000000 
-dualbound = 3313282.392016, lowerbound=1256432.392016, norm of subgrad 1121.483567	dualbound = 3313282.392016, lowerbound=1256432.392016, norm of subgrad 37.670461	 stepsize= 1.000000 
-dualbound = 3313388.508624, lowerbound=1259432.508624, norm of subgrad 1122.797626	dualbound = 3313388.508624, lowerbound=1259432.508624, norm of subgrad 36.716707	 stepsize= 1.000000 
-dualbound = 3313468.073500, lowerbound=1252812.073500, norm of subgrad 1119.867882	dualbound = 3313468.073500, lowerbound=1252812.073500, norm of subgrad 37.034644	 stepsize= 1.000000 
-dualbound = 3313559.836099, lowerbound=1257344.836099, norm of subgrad 1121.874251	dualbound = 3313559.836099, lowerbound=1257344.836099, norm of subgrad 36.725503	 stepsize= 1.000000 
-dualbound = 3313666.110788, lowerbound=1255274.110788, norm of subgrad 1120.959014	dualbound = 3313666.110788, lowerbound=1255274.110788, norm of subgrad 37.165504	 stepsize= 1.000000 
-dualbound = 3313748.733643, lowerbound=1254939.733643, norm of subgrad 1120.808964	dualbound = 3313748.733643, lowerbound=1254939.733643, norm of subgrad 36.818784	 stepsize= 1.000000 
-dualbound = 3313854.715285, lowerbound=1256335.715285, norm of subgrad 1121.453394	dualbound = 3313854.715285, lowerbound=1256335.715285, norm of subgrad 37.788644	 stepsize= 1.000000 
-dualbound = 3313925.326176, lowerbound=1253051.326176, norm of subgrad 1119.967556	dualbound = 3313925.326176, lowerbound=1253051.326176, norm of subgrad 36.696197	 stepsize= 1.000000 
-dualbound = 3314024.690135, lowerbound=1262581.690135, norm of subgrad 1124.239605	dualbound = 3314024.690135, lowerbound=1262581.690135, norm of subgrad 37.846585	 stepsize= 1.000000 
-dualbound = 3314108.314525, lowerbound=1252421.314525, norm of subgrad 1119.667948	dualbound = 3314108.314525, lowerbound=1252421.314525, norm of subgrad 36.312868	 stepsize= 1.000000 
-dualbound = 3314235.399517, lowerbound=1259786.399517, norm of subgrad 1122.995280	dualbound = 3314235.399517, lowerbound=1259786.399517, norm of subgrad 38.197971	 stepsize= 1.000000 
-dualbound = 3314274.404487, lowerbound=1257456.404487, norm of subgrad 1121.936899	dualbound = 3314274.404487, lowerbound=1257456.404487, norm of subgrad 36.400618	 stepsize= 1.000000 
-dualbound = 3314420.742993, lowerbound=1257486.742993, norm of subgrad 1121.937495	dualbound = 3314420.742993, lowerbound=1257486.742993, norm of subgrad 37.461160	 stepsize= 1.000000 
-dualbound = 3314491.487290, lowerbound=1256758.487290, norm of subgrad 1121.601305	dualbound = 3314491.487290, lowerbound=1256758.487290, norm of subgrad 36.079694	 stepsize= 1.000000 
-dualbound = 3314608.947861, lowerbound=1255834.947861, norm of subgrad 1121.213605	dualbound = 3314608.947861, lowerbound=1255834.947861, norm of subgrad 37.449440	 stepsize= 1.000000 
-dualbound = 3314673.870146, lowerbound=1255183.870146, norm of subgrad 1120.913855	dualbound = 3314673.870146, lowerbound=1255183.870146, norm of subgrad 36.454386	 stepsize= 1.000000 
-dualbound = 3314785.689338, lowerbound=1259148.689338, norm of subgrad 1122.689489	dualbound = 3314785.689338, lowerbound=1259148.689338, norm of subgrad 37.347278	 stepsize= 1.000000 
-dualbound = 3314850.235493, lowerbound=1253594.235493, norm of subgrad 1120.207675	dualbound = 3314850.235493, lowerbound=1253594.235493, norm of subgrad 36.545125	 stepsize= 1.000000 
-dualbound = 3314946.741449, lowerbound=1259530.741449, norm of subgrad 1122.888125	dualbound = 3314946.741449, lowerbound=1259530.741449, norm of subgrad 37.993499	 stepsize= 1.000000 
-dualbound = 3315042.315019, lowerbound=1252215.315019, norm of subgrad 1119.585332	dualbound = 3315042.315019, lowerbound=1252215.315019, norm of subgrad 36.763753	 stepsize= 1.000000 
-dualbound = 3315181.200200, lowerbound=1255225.200200, norm of subgrad 1120.906865	dualbound = 3315181.200200, lowerbound=1255225.200200, norm of subgrad 36.686308	 stepsize= 1.000000 
-dualbound = 3315227.171283, lowerbound=1257776.171283, norm of subgrad 1122.096774	dualbound = 3315227.171283, lowerbound=1257776.171283, norm of subgrad 37.026627	 stepsize= 1.000000 
-dualbound = 3315320.140453, lowerbound=1256160.140453, norm of subgrad 1121.369315	dualbound = 3315320.140453, lowerbound=1256160.140453, norm of subgrad 37.442879	 stepsize= 1.000000 
-dualbound = 3315399.464916, lowerbound=1255704.464916, norm of subgrad 1121.144712	dualbound = 3315399.464916, lowerbound=1255704.464916, norm of subgrad 36.610442	 stepsize= 1.000000 
-dualbound = 3315544.253955, lowerbound=1256795.253955, norm of subgrad 1121.631069	dualbound = 3315544.253955, lowerbound=1256795.253955, norm of subgrad 37.493853	 stepsize= 1.000000 
-dualbound = 3315603.416820, lowerbound=1257845.416820, norm of subgrad 1122.120055	dualbound = 3315603.416820, lowerbound=1257845.416820, norm of subgrad 36.975166	 stepsize= 1.000000 
-dualbound = 3315701.649748, lowerbound=1259255.649748, norm of subgrad 1122.711294	dualbound = 3315701.649748, lowerbound=1259255.649748, norm of subgrad 36.376269	 stepsize= 1.000000 
-dualbound = 3315819.079598, lowerbound=1254167.079598, norm of subgrad 1120.455300	dualbound = 3315819.079598, lowerbound=1254167.079598, norm of subgrad 37.019317	 stepsize= 1.000000 
-dualbound = 3315887.911418, lowerbound=1255976.911418, norm of subgrad 1121.277357	dualbound = 3315887.911418, lowerbound=1255976.911418, norm of subgrad 36.808040	 stepsize= 1.000000 
-dualbound = 3315984.925274, lowerbound=1257028.925274, norm of subgrad 1121.713388	dualbound = 3315984.925274, lowerbound=1257028.925274, norm of subgrad 36.180297	 stepsize= 1.000000 
-dualbound = 3316096.401227, lowerbound=1259731.401227, norm of subgrad 1122.922705	dualbound = 3316096.401227, lowerbound=1259731.401227, norm of subgrad 36.544164	 stepsize= 1.000000 
-dualbound = 3316185.353257, lowerbound=1257234.353257, norm of subgrad 1121.832587	dualbound = 3316185.353257, lowerbound=1257234.353257, norm of subgrad 36.918180	 stepsize= 1.000000 
-dualbound = 3316222.119441, lowerbound=1259561.119441, norm of subgrad 1122.915010	dualbound = 3316222.119441, lowerbound=1259561.119441, norm of subgrad 37.600082	 stepsize= 1.000000 
-dualbound = 3316324.940172, lowerbound=1254715.940172, norm of subgrad 1120.712693	dualbound = 3316324.940172, lowerbound=1254715.940172, norm of subgrad 37.199741	 stepsize= 1.000000 
-dualbound = 3316440.172807, lowerbound=1254205.172807, norm of subgrad 1120.462482	dualbound = 3316440.172807, lowerbound=1254205.172807, norm of subgrad 36.691043	 stepsize= 1.000000 
-dualbound = 3316538.416812, lowerbound=1257228.416812, norm of subgrad 1121.824147	dualbound = 3316538.416812, lowerbound=1257228.416812, norm of subgrad 36.867927	 stepsize= 1.000000 
-dualbound = 3316618.498998, lowerbound=1256633.498998, norm of subgrad 1121.589720	dualbound = 3316618.498998, lowerbound=1256633.498998, norm of subgrad 37.551061	 stepsize= 1.000000 
-dualbound = 3316712.999227, lowerbound=1258172.999227, norm of subgrad 1122.269130	dualbound = 3316712.999227, lowerbound=1258172.999227, norm of subgrad 37.543311	 stepsize= 1.000000 
-dualbound = 3316819.427123, lowerbound=1255007.427123, norm of subgrad 1120.852099	dualbound = 3316819.427123, lowerbound=1255007.427123, norm of subgrad 37.529027	 stepsize= 1.000000 
-dualbound = 3316895.862232, lowerbound=1255874.862232, norm of subgrad 1121.225607	dualbound = 3316895.862232, lowerbound=1255874.862232, norm of subgrad 36.721044	 stepsize= 1.000000 
-dualbound = 3317015.304245, lowerbound=1253604.304245, norm of subgrad 1120.205028	dualbound = 3317015.304245, lowerbound=1253604.304245, norm of subgrad 37.073468	 stepsize= 1.000000 
-dualbound = 3317084.792268, lowerbound=1261813.792268, norm of subgrad 1123.876680	dualbound = 3317084.792268, lowerbound=1261813.792268, norm of subgrad 36.803370	 stepsize= 1.000000 
-dualbound = 3317169.429172, lowerbound=1257953.429172, norm of subgrad 1122.194916	dualbound = 3317169.429172, lowerbound=1257953.429172, norm of subgrad 38.113474	 stepsize= 1.000000 
-dualbound = 3317254.839738, lowerbound=1259468.839738, norm of subgrad 1122.831617	dualbound = 3317254.839738, lowerbound=1259468.839738, norm of subgrad 36.978515	 stepsize= 1.000000 
-dualbound = 3317385.350048, lowerbound=1253632.350048, norm of subgrad 1120.206387	dualbound = 3317385.350048, lowerbound=1253632.350048, norm of subgrad 36.885096	 stepsize= 1.000000 
-dualbound = 3317470.157697, lowerbound=1257183.157697, norm of subgrad 1121.816900	dualbound = 3317470.157697, lowerbound=1257183.157697, norm of subgrad 37.078399	 stepsize= 1.000000 
-dualbound = 3317527.469180, lowerbound=1254006.469180, norm of subgrad 1120.425129	dualbound = 3317527.469180, lowerbound=1254006.469180, norm of subgrad 37.460799	 stepsize= 1.000000 
-dualbound = 3317637.132507, lowerbound=1261750.132507, norm of subgrad 1123.889733	dualbound = 3317637.132507, lowerbound=1261750.132507, norm of subgrad 38.570239	 stepsize= 1.000000 
-dualbound = 3317739.806792, lowerbound=1253315.806792, norm of subgrad 1120.077590	dualbound = 3317739.806792, lowerbound=1253315.806792, norm of subgrad 36.887319	 stepsize= 1.000000 
-dualbound = 3317836.653426, lowerbound=1257212.653426, norm of subgrad 1121.814447	dualbound = 3317836.653426, lowerbound=1257212.653426, norm of subgrad 36.767467	 stepsize= 1.000000 
-dualbound = 3317943.222332, lowerbound=1256137.222332, norm of subgrad 1121.337247	dualbound = 3317943.222332, lowerbound=1256137.222332, norm of subgrad 36.967133	 stepsize= 1.000000 
-dualbound = 3318040.923460, lowerbound=1257824.923460, norm of subgrad 1122.108695	dualbound = 3318040.923460, lowerbound=1257824.923460, norm of subgrad 37.425942	 stepsize= 1.000000 
-dualbound = 3318112.441832, lowerbound=1252911.441832, norm of subgrad 1119.910015	dualbound = 3318112.441832, lowerbound=1252911.441832, norm of subgrad 36.858084	 stepsize= 1.000000 
-dualbound = 3318209.458282, lowerbound=1257989.458282, norm of subgrad 1122.179334	dualbound = 3318209.458282, lowerbound=1257989.458282, norm of subgrad 37.336530	 stepsize= 1.000000 
-dualbound = 3318289.369287, lowerbound=1257448.369287, norm of subgrad 1121.928415	dualbound = 3318289.369287, lowerbound=1257448.369287, norm of subgrad 36.809116	 stepsize= 1.000000 
-dualbound = 3318400.854225, lowerbound=1255712.854225, norm of subgrad 1121.188144	dualbound = 3318400.854225, lowerbound=1255712.854225, norm of subgrad 38.229373	 stepsize= 1.000000 
-dualbound = 3318480.993184, lowerbound=1260183.993184, norm of subgrad 1123.165613	dualbound = 3318480.993184, lowerbound=1260183.993184, norm of subgrad 37.378322	 stepsize= 1.000000 
-dualbound = 3318565.634489, lowerbound=1255014.634489, norm of subgrad 1120.849961	dualbound = 3318565.634489, lowerbound=1255014.634489, norm of subgrad 37.076155	 stepsize= 1.000000 
-dualbound = 3318685.408786, lowerbound=1255280.408786, norm of subgrad 1120.952902	dualbound = 3318685.408786, lowerbound=1255280.408786, norm of subgrad 37.077949	 stepsize= 1.000000 
-dualbound = 3318742.341898, lowerbound=1256482.341898, norm of subgrad 1121.493353	dualbound = 3318742.341898, lowerbound=1256482.341898, norm of subgrad 36.358398	 stepsize= 1.000000 
-dualbound = 3318860.889241, lowerbound=1257023.889242, norm of subgrad 1121.726299	dualbound = 3318860.889241, lowerbound=1257023.889242, norm of subgrad 36.939780	 stepsize= 1.000000 
-dualbound = 3318948.198940, lowerbound=1254365.198940, norm of subgrad 1120.569587	dualbound = 3318948.198940, lowerbound=1254365.198940, norm of subgrad 37.393979	 stepsize= 1.000000 
-dualbound = 3319031.894042, lowerbound=1257587.894042, norm of subgrad 1122.006192	dualbound = 3319031.894042, lowerbound=1257587.894042, norm of subgrad 37.332226	 stepsize= 1.000000 
-dualbound = 3319139.683578, lowerbound=1256562.683578, norm of subgrad 1121.533184	dualbound = 3319139.683578, lowerbound=1256562.683578, norm of subgrad 37.172430	 stepsize= 1.000000 
-dualbound = 3319220.702149, lowerbound=1256623.702149, norm of subgrad 1121.576436	dualbound = 3319220.702149, lowerbound=1256623.702149, norm of subgrad 37.296361	 stepsize= 1.000000 
-dualbound = 3319307.958254, lowerbound=1257797.958254, norm of subgrad 1122.107819	dualbound = 3319307.958254, lowerbound=1257797.958254, norm of subgrad 37.619890	 stepsize= 1.000000 
-dualbound = 3319401.643134, lowerbound=1256788.643134, norm of subgrad 1121.652193	dualbound = 3319401.643134, lowerbound=1256788.643134, norm of subgrad 37.532451	 stepsize= 1.000000 
-dualbound = 3319489.301537, lowerbound=1261065.301537, norm of subgrad 1123.535180	dualbound = 3319489.301537, lowerbound=1261065.301537, norm of subgrad 36.792097	 stepsize= 1.000000 
-dualbound = 3319604.519594, lowerbound=1254873.519594, norm of subgrad 1120.787455	dualbound = 3319604.519594, lowerbound=1254873.519594, norm of subgrad 37.499574	 stepsize= 1.000000 
-dualbound = 3319685.233791, lowerbound=1260854.233791, norm of subgrad 1123.425669	dualbound = 3319685.233791, lowerbound=1260854.233791, norm of subgrad 36.217595	 stepsize= 1.000000 
-dualbound = 3319810.974450, lowerbound=1254387.974450, norm of subgrad 1120.555654	dualbound = 3319810.974450, lowerbound=1254387.974450, norm of subgrad 37.185221	 stepsize= 1.000000 
-dualbound = 3319879.324206, lowerbound=1255107.324206, norm of subgrad 1120.901568	dualbound = 3319879.324206, lowerbound=1255107.324206, norm of subgrad 37.166514	 stepsize= 1.000000 
-dualbound = 3319971.709374, lowerbound=1257776.709374, norm of subgrad 1122.054682	dualbound = 3319971.709374, lowerbound=1257776.709374, norm of subgrad 36.364614	 stepsize= 1.000000 
-dualbound = 3320087.744041, lowerbound=1253779.744041, norm of subgrad 1120.291812	dualbound = 3320087.744041, lowerbound=1253779.744041, norm of subgrad 37.283169	 stepsize= 1.000000 
-dualbound = 3320144.111063, lowerbound=1258614.111063, norm of subgrad 1122.453167	dualbound = 3320144.111063, lowerbound=1258614.111063, norm of subgrad 36.651972	 stepsize= 1.000000 
-dualbound = 3320233.865864, lowerbound=1254856.865864, norm of subgrad 1120.772888	dualbound = 3320233.865864, lowerbound=1254856.865864, norm of subgrad 36.942588	 stepsize= 1.000000 
-dualbound = 3320337.029337, lowerbound=1263223.029337, norm of subgrad 1124.499457	dualbound = 3320337.029337, lowerbound=1263223.029337, norm of subgrad 37.137090	 stepsize= 1.000000 
-dualbound = 3320423.752268, lowerbound=1258331.752268, norm of subgrad 1122.312680	dualbound = 3320423.752268, lowerbound=1258331.752268, norm of subgrad 36.615884	 stepsize= 1.000000 
-dualbound = 3320521.659093, lowerbound=1258933.659093, norm of subgrad 1122.606636	dualbound = 3320521.659093, lowerbound=1258933.659093, norm of subgrad 37.548726	 stepsize= 1.000000 
-dualbound = 3320588.583849, lowerbound=1250450.583849, norm of subgrad 1118.786657	dualbound = 3320588.583849, lowerbound=1250450.583849, norm of subgrad 36.054469	 stepsize= 1.000000 
-dualbound = 3320718.969697, lowerbound=1253948.969697, norm of subgrad 1120.376709	dualbound = 3320718.969697, lowerbound=1253948.969697, norm of subgrad 37.754283	 stepsize= 1.000000 
-dualbound = 3320773.229102, lowerbound=1258803.229102, norm of subgrad 1122.534289	dualbound = 3320773.229102, lowerbound=1258803.229102, norm of subgrad 36.527516	 stepsize= 1.000000 
-dualbound = 3320907.756913, lowerbound=1256936.756913, norm of subgrad 1121.702615	dualbound = 3320907.756913, lowerbound=1256936.756913, norm of subgrad 37.610209	 stepsize= 1.000000 
-dualbound = 3320957.788888, lowerbound=1258342.788888, norm of subgrad 1122.347446	dualbound = 3320957.788888, lowerbound=1258342.788888, norm of subgrad 37.027449	 stepsize= 1.000000 
-dualbound = 3321084.055497, lowerbound=1256636.055497, norm of subgrad 1121.549845	dualbound = 3321084.055497, lowerbound=1256636.055497, norm of subgrad 36.935980	 stepsize= 1.000000 
-dualbound = 3321170.935538, lowerbound=1261913.935538, norm of subgrad 1123.904327	dualbound = 3321170.935538, lowerbound=1261913.935538, norm of subgrad 36.522323	 stepsize= 1.000000 
-dualbound = 3321264.764389, lowerbound=1255355.764389, norm of subgrad 1120.986960	dualbound = 3321264.764389, lowerbound=1255355.764389, norm of subgrad 36.740017	 stepsize= 1.000000 
-dualbound = 3321368.503855, lowerbound=1257887.503855, norm of subgrad 1122.093804	dualbound = 3321368.503855, lowerbound=1257887.503855, norm of subgrad 36.204136	 stepsize= 1.000000 
-dualbound = 3321474.748928, lowerbound=1251704.748928, norm of subgrad 1119.354613	dualbound = 3321474.748928, lowerbound=1251704.748928, norm of subgrad 36.827233	 stepsize= 1.000000 
-dualbound = 3321560.808724, lowerbound=1263850.808724, norm of subgrad 1124.765668	dualbound = 3321560.808724, lowerbound=1263850.808724, norm of subgrad 36.511091	 stepsize= 1.000000 
-dualbound = 3321649.981517, lowerbound=1253075.981517, norm of subgrad 1119.975438	dualbound = 3321649.981517, lowerbound=1253075.981517, norm of subgrad 36.853396	 stepsize= 1.000000 
-dualbound = 3321733.550011, lowerbound=1257463.550011, norm of subgrad 1121.954790	dualbound = 3321733.550011, lowerbound=1257463.550011, norm of subgrad 37.450881	 stepsize= 1.000000 
-dualbound = 3321812.831370, lowerbound=1253793.831370, norm of subgrad 1120.319076	dualbound = 3321812.831370, lowerbound=1253793.831370, norm of subgrad 37.420333	 stepsize= 1.000000 
-dualbound = 3321894.575143, lowerbound=1258364.575143, norm of subgrad 1122.353142	dualbound = 3321894.575143, lowerbound=1258364.575143, norm of subgrad 37.332878	 stepsize= 1.000000 
-dualbound = 3321998.823323, lowerbound=1256767.823323, norm of subgrad 1121.612154	dualbound = 3321998.823323, lowerbound=1256767.823323, norm of subgrad 36.745723	 stepsize= 1.000000 
-dualbound = 3322111.298854, lowerbound=1259427.298854, norm of subgrad 1122.808665	dualbound = 3322111.298854, lowerbound=1259427.298854, norm of subgrad 37.208541	 stepsize= 1.000000 
-dualbound = 3322177.614410, lowerbound=1255273.614410, norm of subgrad 1120.966375	dualbound = 3322177.614410, lowerbound=1255273.614410, norm of subgrad 36.855333	 stepsize= 1.000000 
-dualbound = 3322274.510917, lowerbound=1260015.510917, norm of subgrad 1123.085264	dualbound = 3322274.510917, lowerbound=1260015.510917, norm of subgrad 37.441908	 stepsize= 1.000000 
-dualbound = 3322374.553610, lowerbound=1252950.553610, norm of subgrad 1119.889527	dualbound = 3322374.553610, lowerbound=1252950.553610, norm of subgrad 36.083829	 stepsize= 1.000000 
-dualbound = 3322484.682528, lowerbound=1258711.682528, norm of subgrad 1122.482375	dualbound = 3322484.682528, lowerbound=1258711.682528, norm of subgrad 36.947651	 stepsize= 1.000000 
-dualbound = 3322552.866331, lowerbound=1258160.866331, norm of subgrad 1122.243675	dualbound = 3322552.866331, lowerbound=1258160.866331, norm of subgrad 36.581195	 stepsize= 1.000000 
-dualbound = 3322651.062521, lowerbound=1256643.062521, norm of subgrad 1121.586404	dualbound = 3322651.062521, lowerbound=1256643.062521, norm of subgrad 37.565891	 stepsize= 1.000000 
-dualbound = 3322726.445285, lowerbound=1261198.445285, norm of subgrad 1123.602886	dualbound = 3322726.445285, lowerbound=1261198.445285, norm of subgrad 36.883367	 stepsize= 1.000000 
-dualbound = 3322851.904337, lowerbound=1258673.904337, norm of subgrad 1122.442384	dualbound = 3322851.904337, lowerbound=1258673.904337, norm of subgrad 36.448032	 stepsize= 1.000000 
-dualbound = 3322946.456528, lowerbound=1255641.456528, norm of subgrad 1121.117057	dualbound = 3322946.456528, lowerbound=1255641.456528, norm of subgrad 36.831402	 stepsize= 1.000000 
-dualbound = 3323024.708705, lowerbound=1254862.708705, norm of subgrad 1120.767018	dualbound = 3323024.708705, lowerbound=1254862.708705, norm of subgrad 36.527417	 stepsize= 1.000000 
-dualbound = 3323097.107490, lowerbound=1260860.107490, norm of subgrad 1123.459882	dualbound = 3323097.107490, lowerbound=1260860.107490, norm of subgrad 37.072885	 stepsize= 1.000000 
-dualbound = 3323189.928267, lowerbound=1260371.928267, norm of subgrad 1123.233247	dualbound = 3323189.928267, lowerbound=1260371.928267, norm of subgrad 37.065088	 stepsize= 1.000000 
-dualbound = 3323278.471610, lowerbound=1258010.471610, norm of subgrad 1122.203400	dualbound = 3323278.471610, lowerbound=1258010.471610, norm of subgrad 37.663555	 stepsize= 1.000000 
-dualbound = 3323368.468775, lowerbound=1257126.468775, norm of subgrad 1121.792971	dualbound = 3323368.468775, lowerbound=1257126.468775, norm of subgrad 37.188670	 stepsize= 1.000000 
-dualbound = 3323459.221822, lowerbound=1254826.221822, norm of subgrad 1120.766355	dualbound = 3323459.221822, lowerbound=1254826.221822, norm of subgrad 37.171939	 stepsize= 1.000000 
-dualbound = 3323546.671804, lowerbound=1260315.671804, norm of subgrad 1123.230462	dualbound = 3323546.671804, lowerbound=1260315.671804, norm of subgrad 37.662315	 stepsize= 1.000000 
-dualbound = 3323658.506972, lowerbound=1254722.506972, norm of subgrad 1120.693315	dualbound = 3323658.506972, lowerbound=1254722.506972, norm of subgrad 36.644715	 stepsize= 1.000000 
-dualbound = 3323770.712175, lowerbound=1253965.712175, norm of subgrad 1120.315006	dualbound = 3323770.712175, lowerbound=1253965.712175, norm of subgrad 35.386512	 stepsize= 1.000000 
-dualbound = 3323867.442659, lowerbound=1257307.442659, norm of subgrad 1121.838867	dualbound = 3323867.442659, lowerbound=1257307.442659, norm of subgrad 36.217820	 stepsize= 1.000000 
-dualbound = 3323947.443068, lowerbound=1256221.443068, norm of subgrad 1121.372571	dualbound = 3323947.443068, lowerbound=1256221.443068, norm of subgrad 36.537657	 stepsize= 1.000000 
-dualbound = 3324041.810461, lowerbound=1256427.810461, norm of subgrad 1121.491779	dualbound = 3324041.810461, lowerbound=1256427.810461, norm of subgrad 37.554858	 stepsize= 1.000000 
-dualbound = 3324110.590898, lowerbound=1262036.590898, norm of subgrad 1123.986028	dualbound = 3324110.590898, lowerbound=1262036.590898, norm of subgrad 37.104992	 stepsize= 1.000000 
-dualbound = 3324221.503539, lowerbound=1255236.503539, norm of subgrad 1120.953390	dualbound = 3324221.503539, lowerbound=1255236.503539, norm of subgrad 37.562117	 stepsize= 1.000000 
-dualbound = 3324304.318266, lowerbound=1260986.318266, norm of subgrad 1123.496915	dualbound = 3324304.318266, lowerbound=1260986.318266, norm of subgrad 36.630789	 stepsize= 1.000000 
-dualbound = 3324384.344555, lowerbound=1254867.344555, norm of subgrad 1120.804775	dualbound = 3324384.344555, lowerbound=1254867.344555, norm of subgrad 37.630125	 stepsize= 1.000000 
-dualbound = 3324478.018721, lowerbound=1258362.018721, norm of subgrad 1122.333292	dualbound = 3324478.018721, lowerbound=1258362.018721, norm of subgrad 36.927959	 stepsize= 1.000000 
-dualbound = 3324591.882457, lowerbound=1258098.882457, norm of subgrad 1122.216059	dualbound = 3324591.882457, lowerbound=1258098.882457, norm of subgrad 37.200319	 stepsize= 1.000000 
-dualbound = 3324650.294205, lowerbound=1256150.294205, norm of subgrad 1121.371167	dualbound = 3324650.294205, lowerbound=1256150.294205, norm of subgrad 37.167348	 stepsize= 1.000000 
-dualbound = 3324735.837543, lowerbound=1256932.837543, norm of subgrad 1121.747225	dualbound = 3324735.837543, lowerbound=1256932.837543, norm of subgrad 38.334623	 stepsize= 1.000000 
-dualbound = 3324839.290891, lowerbound=1256059.290891, norm of subgrad 1121.314983	dualbound = 3324839.290891, lowerbound=1256059.290891, norm of subgrad 37.302190	 stepsize= 1.000000 
-dualbound = 3324923.827983, lowerbound=1262758.827983, norm of subgrad 1124.317494	dualbound = 3324923.827983, lowerbound=1262758.827983, norm of subgrad 37.623624	 stepsize= 1.000000 
-dualbound = 3325054.482387, lowerbound=1257543.482387, norm of subgrad 1121.981053	dualbound = 3325054.482387, lowerbound=1257543.482387, norm of subgrad 37.797545	 stepsize= 1.000000 
-dualbound = 3325128.016452, lowerbound=1260943.016452, norm of subgrad 1123.503456	dualbound = 3325128.016452, lowerbound=1260943.016452, norm of subgrad 37.289865	 stepsize= 1.000000 
-dualbound = 3325221.930684, lowerbound=1259294.930684, norm of subgrad 1122.764415	dualbound = 3325221.930684, lowerbound=1259294.930684, norm of subgrad 37.402062	 stepsize= 1.000000 
-dualbound = 3325329.246041, lowerbound=1255678.246041, norm of subgrad 1121.117410	dualbound = 3325329.246041, lowerbound=1255678.246041, norm of subgrad 36.514591	 stepsize= 1.000000 
-dualbound = 3325440.751216, lowerbound=1256382.751216, norm of subgrad 1121.438697	dualbound = 3325440.751216, lowerbound=1256382.751216, norm of subgrad 36.790015	 stepsize= 1.000000 
-dualbound = 3325499.903752, lowerbound=1260014.903752, norm of subgrad 1123.064515	dualbound = 3325499.903752, lowerbound=1260014.903752, norm of subgrad 36.306370	 stepsize= 1.000000 
-dualbound = 3325598.643863, lowerbound=1254566.643863, norm of subgrad 1120.631359	dualbound = 3325598.643863, lowerbound=1254566.643863, norm of subgrad 36.697958	 stepsize= 1.000000 
-dualbound = 3325687.648314, lowerbound=1256479.648314, norm of subgrad 1121.501515	dualbound = 3325687.648314, lowerbound=1256479.648314, norm of subgrad 37.081052	 stepsize= 1.000000 
-dualbound = 3325794.808501, lowerbound=1254816.808501, norm of subgrad 1120.736280	dualbound = 3325794.808501, lowerbound=1254816.808501, norm of subgrad 36.608198	 stepsize= 1.000000 
-dualbound = 3325877.999272, lowerbound=1259822.999273, norm of subgrad 1122.964380	dualbound = 3325877.999272, lowerbound=1259822.999273, norm of subgrad 36.182741	 stepsize= 1.000000 
-dualbound = 3325977.361023, lowerbound=1254918.361023, norm of subgrad 1120.797645	dualbound = 3325977.361023, lowerbound=1254918.361023, norm of subgrad 36.991374	 stepsize= 1.000000 
-dualbound = 3326048.501307, lowerbound=1257629.501307, norm of subgrad 1121.995321	dualbound = 3326048.501307, lowerbound=1257629.501307, norm of subgrad 36.264863	 stepsize= 1.000000 
-dualbound = 3326156.890740, lowerbound=1258261.890740, norm of subgrad 1122.281556	dualbound = 3326156.890740, lowerbound=1258261.890740, norm of subgrad 36.910560	 stepsize= 1.000000 
-dualbound = 3326237.550958, lowerbound=1255282.550958, norm of subgrad 1120.948059	dualbound = 3326237.550958, lowerbound=1255282.550958, norm of subgrad 36.368396	 stepsize= 1.000000 
-dualbound = 3326329.554350, lowerbound=1259739.554350, norm of subgrad 1122.943700	dualbound = 3326329.554350, lowerbound=1259739.554350, norm of subgrad 36.810371	 stepsize= 1.000000 
-dualbound = 3326444.459563, lowerbound=1257976.459563, norm of subgrad 1122.134778	dualbound = 3326444.459563, lowerbound=1257976.459563, norm of subgrad 36.399247	 stepsize= 1.000000 
-dualbound = 3326512.690627, lowerbound=1259820.690627, norm of subgrad 1122.999862	dualbound = 3326512.690627, lowerbound=1259820.690627, norm of subgrad 37.097588	 stepsize= 1.000000 
-dualbound = 3326590.186562, lowerbound=1256691.186562, norm of subgrad 1121.593592	dualbound = 3326590.186562, lowerbound=1256691.186562, norm of subgrad 36.857780	 stepsize= 1.000000 
-dualbound = 3326714.439883, lowerbound=1260399.439883, norm of subgrad 1123.222347	dualbound = 3326714.439883, lowerbound=1260399.439883, norm of subgrad 36.786592	 stepsize= 1.000000 
-dualbound = 3326779.490988, lowerbound=1252541.490988, norm of subgrad 1119.728758	dualbound = 3326779.490988, lowerbound=1252541.490988, norm of subgrad 36.277419	 stepsize= 1.000000 
-dualbound = 3326911.926789, lowerbound=1260102.926789, norm of subgrad 1123.090347	dualbound = 3326911.926789, lowerbound=1260102.926789, norm of subgrad 36.897640	 stepsize= 1.000000 
-dualbound = 3326970.439931, lowerbound=1258003.439931, norm of subgrad 1122.190911	dualbound = 3326970.439931, lowerbound=1258003.439931, norm of subgrad 36.979902	 stepsize= 1.000000 
-dualbound = 3327068.840587, lowerbound=1259339.840587, norm of subgrad 1122.783969	dualbound = 3327068.840587, lowerbound=1259339.840587, norm of subgrad 37.448640	 stepsize= 1.000000 
-dualbound = 3327146.325721, lowerbound=1256429.325721, norm of subgrad 1121.505384	dualbound = 3327146.325721, lowerbound=1256429.325721, norm of subgrad 37.715847	 stepsize= 1.000000 
-dualbound = 3327240.914578, lowerbound=1256303.914578, norm of subgrad 1121.428515	dualbound = 3327240.914578, lowerbound=1256303.914578, norm of subgrad 37.317407	 stepsize= 1.000000 
-dualbound = 3327350.441240, lowerbound=1260196.441240, norm of subgrad 1123.168928	dualbound = 3327350.441240, lowerbound=1260196.441240, norm of subgrad 37.703139	 stepsize= 1.000000 
-dualbound = 3327444.542520, lowerbound=1252609.542520, norm of subgrad 1119.766736	dualbound = 3327444.542520, lowerbound=1252609.542520, norm of subgrad 36.906656	 stepsize= 1.000000 
-dualbound = 3327543.902694, lowerbound=1260111.902694, norm of subgrad 1123.113486	dualbound = 3327543.902694, lowerbound=1260111.902694, norm of subgrad 37.031881	 stepsize= 1.000000 
-dualbound = 3327630.672129, lowerbound=1250580.672129, norm of subgrad 1118.855072	dualbound = 3327630.672129, lowerbound=1250580.672129, norm of subgrad 36.643819	 stepsize= 1.000000 
-dualbound = 3327722.309914, lowerbound=1261234.309914, norm of subgrad 1123.604606	dualbound = 3327722.309914, lowerbound=1261234.309914, norm of subgrad 36.669303	 stepsize= 1.000000 
-dualbound = 3327823.272611, lowerbound=1258393.272611, norm of subgrad 1122.323159	dualbound = 3327823.272611, lowerbound=1258393.272611, norm of subgrad 36.289981	 stepsize= 1.000000 
-dualbound = 3327919.753122, lowerbound=1256457.753122, norm of subgrad 1121.468570	dualbound = 3327919.753122, lowerbound=1256457.753122, norm of subgrad 36.475752	 stepsize= 1.000000 
-dualbound = 3328018.688691, lowerbound=1258200.688691, norm of subgrad 1122.241814	dualbound = 3328018.688691, lowerbound=1258200.688691, norm of subgrad 36.399664	 stepsize= 1.000000 
-dualbound = 3328091.125229, lowerbound=1261171.125229, norm of subgrad 1123.587614	dualbound = 3328091.125229, lowerbound=1261171.125229, norm of subgrad 36.748286	 stepsize= 1.000000 
-dualbound = 3328173.046005, lowerbound=1264058.046005, norm of subgrad 1124.869791	dualbound = 3328173.046005, lowerbound=1264058.046005, norm of subgrad 36.822830	 stepsize= 1.000000 
-dualbound = 3328283.094485, lowerbound=1258345.094485, norm of subgrad 1122.319070	dualbound = 3328283.094485, lowerbound=1258345.094485, norm of subgrad 36.946562	 stepsize= 1.000000 
-dualbound = 3328346.288010, lowerbound=1255995.288010, norm of subgrad 1121.283768	dualbound = 3328346.288010, lowerbound=1255995.288010, norm of subgrad 36.676880	 stepsize= 1.000000 
-dualbound = 3328437.325119, lowerbound=1258175.325119, norm of subgrad 1122.262592	dualbound = 3328437.325119, lowerbound=1258175.325119, norm of subgrad 37.269788	 stepsize= 1.000000 
-dualbound = 3328526.773224, lowerbound=1257260.773224, norm of subgrad 1121.834111	dualbound = 3328526.773224, lowerbound=1257260.773224, norm of subgrad 36.612131	 stepsize= 1.000000 
-dualbound = 3328638.628645, lowerbound=1255738.628645, norm of subgrad 1121.152366	dualbound = 3328638.628645, lowerbound=1255738.628645, norm of subgrad 36.821942	 stepsize= 1.000000 
-dualbound = 3328721.061964, lowerbound=1257447.061964, norm of subgrad 1121.936300	dualbound = 3328721.061964, lowerbound=1257447.061964, norm of subgrad 37.100314	 stepsize= 1.000000 
-dualbound = 3328823.780220, lowerbound=1261298.780220, norm of subgrad 1123.649314	dualbound = 3328823.780220, lowerbound=1261298.780220, norm of subgrad 37.305740	 stepsize= 1.000000 
-dualbound = 3328875.907913, lowerbound=1257956.907913, norm of subgrad 1122.168841	dualbound = 3328875.907913, lowerbound=1257956.907913, norm of subgrad 36.852784	 stepsize= 1.000000 
-dualbound = 3328995.120987, lowerbound=1259742.120987, norm of subgrad 1122.937274	dualbound = 3328995.120987, lowerbound=1259742.120987, norm of subgrad 36.948790	 stepsize= 1.000000 
-dualbound = 3329078.470033, lowerbound=1253887.470033, norm of subgrad 1120.344353	dualbound = 3329078.470033, lowerbound=1253887.470033, norm of subgrad 36.977683	 stepsize= 1.000000 
-dualbound = 3329184.277244, lowerbound=1259995.277244, norm of subgrad 1123.060229	dualbound = 3329184.277244, lowerbound=1259995.277244, norm of subgrad 37.078393	 stepsize= 1.000000 
-dualbound = 3329260.144366, lowerbound=1255093.144366, norm of subgrad 1120.880522	dualbound = 3329260.144366, lowerbound=1255093.144366, norm of subgrad 36.822101	 stepsize= 1.000000 
-dualbound = 3329370.856352, lowerbound=1258594.856352, norm of subgrad 1122.428107	dualbound = 3329370.856352, lowerbound=1258594.856352, norm of subgrad 36.887830	 stepsize= 1.000000 
-dualbound = 3329443.863577, lowerbound=1251793.863577, norm of subgrad 1119.391292	dualbound = 3329443.863577, lowerbound=1251793.863577, norm of subgrad 36.276814	 stepsize= 1.000000 
-dualbound = 3329567.631134, lowerbound=1256475.631134, norm of subgrad 1121.476095	dualbound = 3329567.631134, lowerbound=1256475.631134, norm of subgrad 36.834326	 stepsize= 1.000000 
-dualbound = 3329644.440408, lowerbound=1258137.440408, norm of subgrad 1122.239921	dualbound = 3329644.440408, lowerbound=1258137.440408, norm of subgrad 36.902700	 stepsize= 1.000000 
-dualbound = 3329736.845145, lowerbound=1259130.845145, norm of subgrad 1122.674416	dualbound = 3329736.845145, lowerbound=1259130.845145, norm of subgrad 36.870106	 stepsize= 1.000000 
-dualbound = 3329814.129014, lowerbound=1255366.129014, norm of subgrad 1121.007194	dualbound = 3329814.129014, lowerbound=1255366.129014, norm of subgrad 36.990321	 stepsize= 1.000000 
-dualbound = 3329910.320109, lowerbound=1260121.320109, norm of subgrad 1123.128808	dualbound = 3329910.320109, lowerbound=1260121.320109, norm of subgrad 37.325475	 stepsize= 1.000000 
-dualbound = 3330018.493068, lowerbound=1259913.493068, norm of subgrad 1123.017584	dualbound = 3330018.493068, lowerbound=1259913.493068, norm of subgrad 36.921172	 stepsize= 1.000000 
-dualbound = 3330105.175909, lowerbound=1257804.175909, norm of subgrad 1122.100787	dualbound = 3330105.175909, lowerbound=1257804.175909, norm of subgrad 37.318666	 stepsize= 1.000000 
-dualbound = 3330187.138825, lowerbound=1254622.138825, norm of subgrad 1120.675751	dualbound = 3330187.138825, lowerbound=1254622.138825, norm of subgrad 37.067006	 stepsize= 1.000000 
-dualbound = 3330284.383774, lowerbound=1255003.383774, norm of subgrad 1120.832005	dualbound = 3330284.383774, lowerbound=1255003.383774, norm of subgrad 36.854375	 stepsize= 1.000000 
-dualbound = 3330371.560158, lowerbound=1259971.560158, norm of subgrad 1123.061690	dualbound = 3330371.560158, lowerbound=1259971.560158, norm of subgrad 37.191079	 stepsize= 1.000000 
-dualbound = 3330446.100810, lowerbound=1257549.100810, norm of subgrad 1121.976872	dualbound = 3330446.100810, lowerbound=1257549.100810, norm of subgrad 36.844819	 stepsize= 1.000000 
-dualbound = 3330562.796510, lowerbound=1262448.796510, norm of subgrad 1124.174273	dualbound = 3330562.796510, lowerbound=1262448.796510, norm of subgrad 37.890575	 stepsize= 1.000000 
-dualbound = 3330643.091165, lowerbound=1259609.091165, norm of subgrad 1122.924793	dualbound = 3330643.091165, lowerbound=1259609.091165, norm of subgrad 37.832455	 stepsize= 1.000000 
-dualbound = 3330728.284917, lowerbound=1255742.284917, norm of subgrad 1121.162916	dualbound = 3330728.284917, lowerbound=1255742.284917, norm of subgrad 36.731373	 stepsize= 1.000000 
-dualbound = 3330843.507190, lowerbound=1258831.507190, norm of subgrad 1122.534412	dualbound = 3330843.507190, lowerbound=1258831.507190, norm of subgrad 36.975969	 stepsize= 1.000000 
-dualbound = 3330940.780194, lowerbound=1255847.780194, norm of subgrad 1121.193016	dualbound = 3330940.780194, lowerbound=1255847.780194, norm of subgrad 36.376820	 stepsize= 1.000000 
-dualbound = 3331023.817332, lowerbound=1260483.817332, norm of subgrad 1123.276376	dualbound = 3331023.817332, lowerbound=1260483.817332, norm of subgrad 36.729241	 stepsize= 1.000000 
-dualbound = 3331110.377818, lowerbound=1257781.377818, norm of subgrad 1122.068794	dualbound = 3331110.377818, lowerbound=1257781.377818, norm of subgrad 36.654611	 stepsize= 1.000000 
-dualbound = 3331217.571533, lowerbound=1255636.571533, norm of subgrad 1121.112649	dualbound = 3331217.571533, lowerbound=1255636.571533, norm of subgrad 36.934993	 stepsize= 1.000000 
-dualbound = 3331286.986097, lowerbound=1263355.986097, norm of subgrad 1124.567022	dualbound = 3331286.986097, lowerbound=1263355.986097, norm of subgrad 36.937983	 stepsize= 1.000000 
-dualbound = 3331394.271482, lowerbound=1255028.271482, norm of subgrad 1120.850691	dualbound = 3331394.271482, lowerbound=1255028.271482, norm of subgrad 37.219422	 stepsize= 1.000000 
-dualbound = 3331464.299088, lowerbound=1259259.299088, norm of subgrad 1122.749437	dualbound = 3331464.299088, lowerbound=1259259.299088, norm of subgrad 37.108323	 stepsize= 1.000000 
-dualbound = 3331564.356465, lowerbound=1254730.356465, norm of subgrad 1120.731617	dualbound = 3331564.356465, lowerbound=1254730.356465, norm of subgrad 37.537413	 stepsize= 1.000000 
-dualbound = 3331643.831469, lowerbound=1261909.831469, norm of subgrad 1123.878477	dualbound = 3331643.831469, lowerbound=1261909.831469, norm of subgrad 35.671768	 stepsize= 1.000000 
-dualbound = 3331791.970757, lowerbound=1258853.970757, norm of subgrad 1122.519920	dualbound = 3331791.970757, lowerbound=1258853.970757, norm of subgrad 36.676141	 stepsize= 1.000000 
-dualbound = 3331841.338832, lowerbound=1257110.338832, norm of subgrad 1121.800490	dualbound = 3331841.338832, lowerbound=1257110.338832, norm of subgrad 37.085955	 stepsize= 1.000000 
-dualbound = 3331917.875948, lowerbound=1254292.875948, norm of subgrad 1120.540885	dualbound = 3331917.875948, lowerbound=1254292.875948, norm of subgrad 37.356888	 stepsize= 1.000000 
-dualbound = 3332049.280087, lowerbound=1254835.280087, norm of subgrad 1120.743628	dualbound = 3332049.280087, lowerbound=1254835.280087, norm of subgrad 36.910759	 stepsize= 1.000000 
-dualbound = 3332123.789139, lowerbound=1253951.789139, norm of subgrad 1120.356546	dualbound = 3332123.789139, lowerbound=1253951.789139, norm of subgrad 36.352566	 stepsize= 1.000000 
-dualbound = 3332227.900966, lowerbound=1260818.900966, norm of subgrad 1123.432642	dualbound = 3332227.900966, lowerbound=1260818.900966, norm of subgrad 37.230523	 stepsize= 1.000000 
-dualbound = 3332298.273024, lowerbound=1256352.273024, norm of subgrad 1121.427337	dualbound = 3332298.273024, lowerbound=1256352.273024, norm of subgrad 36.295620	 stepsize= 1.000000 
-dualbound = 3332398.199282, lowerbound=1259360.199282, norm of subgrad 1122.779675	dualbound = 3332398.199282, lowerbound=1259360.199282, norm of subgrad 37.066511	 stepsize= 1.000000 
-dualbound = 3332481.019886, lowerbound=1256266.019886, norm of subgrad 1121.394230	dualbound = 3332481.019886, lowerbound=1256266.019886, norm of subgrad 36.630870	 stepsize= 1.000000 
-dualbound = 3332553.762211, lowerbound=1259319.762211, norm of subgrad 1122.786606	dualbound = 3332553.762211, lowerbound=1259319.762211, norm of subgrad 37.453202	 stepsize= 1.000000 
-dualbound = 3332661.239591, lowerbound=1259354.239591, norm of subgrad 1122.764552	dualbound = 3332661.239591, lowerbound=1259354.239591, norm of subgrad 36.789637	 stepsize= 1.000000 
-dualbound = 3332764.712330, lowerbound=1258916.712330, norm of subgrad 1122.578600	dualbound = 3332764.712330, lowerbound=1258916.712330, norm of subgrad 37.006388	 stepsize= 1.000000 
-dualbound = 3332844.525860, lowerbound=1258862.525860, norm of subgrad 1122.554019	dualbound = 3332844.525860, lowerbound=1258862.525860, norm of subgrad 36.671699	 stepsize= 1.000000 
-dualbound = 3332938.409001, lowerbound=1253411.409001, norm of subgrad 1120.135889	dualbound = 3332938.409001, lowerbound=1253411.409001, norm of subgrad 37.240880	 stepsize= 1.000000 
-dualbound = 3333053.125149, lowerbound=1260572.125149, norm of subgrad 1123.318354	dualbound = 3333053.125149, lowerbound=1260572.125149, norm of subgrad 37.238638	 stepsize= 1.000000 
-dualbound = 3333098.114617, lowerbound=1256548.114617, norm of subgrad 1121.534714	dualbound = 3333098.114617, lowerbound=1256548.114617, norm of subgrad 36.564867	 stepsize= 1.000000 
-dualbound = 3333212.002721, lowerbound=1261354.002721, norm of subgrad 1123.685900	dualbound = 3333212.002721, lowerbound=1261354.002721, norm of subgrad 37.813861	 stepsize= 1.000000 
-dualbound = 3333321.510798, lowerbound=1257040.510798, norm of subgrad 1121.731925	dualbound = 3333321.510798, lowerbound=1257040.510798, norm of subgrad 36.762863	 stepsize= 1.000000 
-dualbound = 3333405.513793, lowerbound=1256749.513793, norm of subgrad 1121.635196	dualbound = 3333405.513793, lowerbound=1256749.513793, norm of subgrad 37.416614	 stepsize= 1.000000 
-dualbound = 3333481.728742, lowerbound=1255958.728742, norm of subgrad 1121.282627	dualbound = 3333481.728742, lowerbound=1255958.728742, norm of subgrad 37.312397	 stepsize= 1.000000 
-dualbound = 3333556.175670, lowerbound=1260404.175670, norm of subgrad 1123.276981	dualbound = 3333556.175670, lowerbound=1260404.175670, norm of subgrad 37.702081	 stepsize= 1.000000 
-dualbound = 3333651.981581, lowerbound=1254608.981581, norm of subgrad 1120.682373	dualbound = 3333651.981581, lowerbound=1254608.981581, norm of subgrad 37.627196	 stepsize= 1.000000 
-dualbound = 3333766.883827, lowerbound=1258368.883827, norm of subgrad 1122.331450	dualbound = 3333766.883827, lowerbound=1258368.883827, norm of subgrad 37.066187	 stepsize= 1.000000 
-dualbound = 3333882.529318, lowerbound=1257241.529318, norm of subgrad 1121.848711	dualbound = 3333882.529318, lowerbound=1257241.529318, norm of subgrad 37.664911	 stepsize= 1.000000 
-dualbound = 3333916.096523, lowerbound=1259059.096523, norm of subgrad 1122.651369	dualbound = 3333916.096523, lowerbound=1259059.096523, norm of subgrad 36.339609	 stepsize= 1.000000 
-dualbound = 3334028.831681, lowerbound=1259198.831681, norm of subgrad 1122.718055	dualbound = 3334028.831681, lowerbound=1259198.831681, norm of subgrad 37.546440	 stepsize= 1.000000 
-dualbound = 3334109.519667, lowerbound=1255957.519667, norm of subgrad 1121.253994	dualbound = 3334109.519667, lowerbound=1255957.519667, norm of subgrad 36.519693	 stepsize= 1.000000 
-dualbound = 3334219.570970, lowerbound=1261095.570970, norm of subgrad 1123.544646	dualbound = 3334219.570970, lowerbound=1261095.570970, norm of subgrad 36.973657	 stepsize= 1.000000 
-dualbound = 3334294.416663, lowerbound=1252168.416663, norm of subgrad 1119.599668	dualbound = 3334294.416663, lowerbound=1252168.416663, norm of subgrad 37.547912	 stepsize= 1.000000 
-dualbound = 3334380.957778, lowerbound=1265361.957778, norm of subgrad 1125.463441	dualbound = 3334380.957778, lowerbound=1265361.957778, norm of subgrad 37.316767	 stepsize= 1.000000 
-dualbound = 3334486.251584, lowerbound=1256734.251584, norm of subgrad 1121.611007	dualbound = 3334486.251584, lowerbound=1256734.251584, norm of subgrad 37.179212	 stepsize= 1.000000 
-dualbound = 3334589.443502, lowerbound=1261191.443502, norm of subgrad 1123.558385	dualbound = 3334589.443502, lowerbound=1261191.443502, norm of subgrad 35.988775	 stepsize= 1.000000 
-dualbound = 3334714.907985, lowerbound=1255203.907985, norm of subgrad 1120.894245	dualbound = 3334714.907985, lowerbound=1255203.907985, norm of subgrad 36.406929	 stepsize= 1.000000 
-dualbound = 3334768.973388, lowerbound=1260664.973388, norm of subgrad 1123.366358	dualbound = 3334768.973388, lowerbound=1260664.973388, norm of subgrad 36.620560	 stepsize= 1.000000 
-dualbound = 3334839.008820, lowerbound=1258524.008820, norm of subgrad 1122.413475	dualbound = 3334839.008820, lowerbound=1258524.008820, norm of subgrad 36.851532	 stepsize= 1.000000 
-dualbound = 3334926.858366, lowerbound=1253543.858366, norm of subgrad 1120.196794	dualbound = 3334926.858366, lowerbound=1253543.858366, norm of subgrad 37.213567	 stepsize= 1.000000 
-dualbound = 3335026.396052, lowerbound=1259306.396052, norm of subgrad 1122.739683	dualbound = 3335026.396052, lowerbound=1259306.396052, norm of subgrad 36.572362	 stepsize= 1.000000 
-dualbound = 3335147.818161, lowerbound=1255748.818161, norm of subgrad 1121.140410	dualbound = 3335147.818161, lowerbound=1255748.818161, norm of subgrad 36.447525	 stepsize= 1.000000 
-dualbound = 3335237.110351, lowerbound=1263479.110351, norm of subgrad 1124.602201	dualbound = 3335237.110351, lowerbound=1263479.110351, norm of subgrad 36.610001	 stepsize= 1.000000 
-dualbound = 3335314.388499, lowerbound=1254836.388499, norm of subgrad 1120.767767	dualbound = 3335314.388499, lowerbound=1254836.388499, norm of subgrad 36.895503	 stepsize= 1.000000 
-dualbound = 3335403.459416, lowerbound=1258830.459416, norm of subgrad 1122.556662	dualbound = 3335403.459416, lowerbound=1258830.459416, norm of subgrad 37.310467	 stepsize= 1.000000 
-dualbound = 3335494.793698, lowerbound=1253823.793698, norm of subgrad 1120.297636	dualbound = 3335494.793698, lowerbound=1253823.793698, norm of subgrad 36.528541	 stepsize= 1.000000 
-dualbound = 3335589.177352, lowerbound=1260035.177352, norm of subgrad 1123.069088	dualbound = 3335589.177352, lowerbound=1260035.177352, norm of subgrad 36.652198	 stepsize= 1.000000 
-dualbound = 3335676.842338, lowerbound=1257434.842338, norm of subgrad 1121.968735	dualbound = 3335676.842338, lowerbound=1257434.842338, norm of subgrad 38.297062	 stepsize= 1.000000 
-dualbound = 3335736.645222, lowerbound=1261155.645222, norm of subgrad 1123.601640	dualbound = 3335736.645222, lowerbound=1261155.645222, norm of subgrad 37.212940	 stepsize= 1.000000 
-dualbound = 3335850.220988, lowerbound=1258006.220988, norm of subgrad 1122.190813	dualbound = 3335850.220988, lowerbound=1258006.220988, norm of subgrad 37.677258	 stepsize= 1.000000 
-dualbound = 3335947.392881, lowerbound=1257683.392881, norm of subgrad 1122.036271	dualbound = 3335947.392881, lowerbound=1257683.392881, norm of subgrad 37.137204	 stepsize= 1.000000 
-dualbound = 3336051.379337, lowerbound=1256120.379337, norm of subgrad 1121.375218	dualbound = 3336051.379337, lowerbound=1256120.379337, norm of subgrad 38.288203	 stepsize= 1.000000 
-dualbound = 3336129.029079, lowerbound=1258949.029079, norm of subgrad 1122.592548	dualbound = 3336129.029079, lowerbound=1258949.029079, norm of subgrad 36.642185	 stepsize= 1.000000 
-dualbound = 3336238.207921, lowerbound=1260721.207921, norm of subgrad 1123.386491	dualbound = 3336238.207921, lowerbound=1260721.207921, norm of subgrad 37.217991	 stepsize= 1.000000 
-dualbound = 3336337.813328, lowerbound=1262565.813328, norm of subgrad 1124.192961	dualbound = 3336337.813328, lowerbound=1262565.813328, norm of subgrad 36.655223	 stepsize= 1.000000 
-dualbound = 3336415.035078, lowerbound=1258704.035078, norm of subgrad 1122.487877	dualbound = 3336415.035078, lowerbound=1258704.035078, norm of subgrad 36.772568	 stepsize= 1.000000 
-dualbound = 3336490.305998, lowerbound=1258462.305998, norm of subgrad 1122.400689	dualbound = 3336490.305998, lowerbound=1258462.305998, norm of subgrad 37.366709	 stepsize= 1.000000 
-dualbound = 3336581.881126, lowerbound=1254006.881126, norm of subgrad 1120.394520	dualbound = 3336581.881126, lowerbound=1254006.881126, norm of subgrad 36.994258	 stepsize= 1.000000 
-dualbound = 3336702.678083, lowerbound=1253123.678083, norm of subgrad 1119.990481	dualbound = 3336702.678083, lowerbound=1253123.678083, norm of subgrad 37.091737	 stepsize= 1.000000 
-dualbound = 3336772.019864, lowerbound=1258338.019864, norm of subgrad 1122.326610	dualbound = 3336772.019864, lowerbound=1258338.019864, norm of subgrad 36.719774	 stepsize= 1.000000 
-dualbound = 3336880.334730, lowerbound=1257745.334730, norm of subgrad 1122.035799	dualbound = 3336880.334730, lowerbound=1257745.334730, norm of subgrad 36.432333	 stepsize= 1.000000 
-dualbound = 3336958.542975, lowerbound=1252982.542975, norm of subgrad 1119.930151	dualbound = 3336958.542975, lowerbound=1252982.542975, norm of subgrad 36.595194	 stepsize= 1.000000 
-dualbound = 3337077.968382, lowerbound=1260349.968382, norm of subgrad 1123.200324	dualbound = 3337077.968382, lowerbound=1260349.968382, norm of subgrad 36.720912	 stepsize= 1.000000 
-dualbound = 3337141.024165, lowerbound=1258359.024165, norm of subgrad 1122.324830	dualbound = 3337141.024165, lowerbound=1258359.024165, norm of subgrad 36.291263	 stepsize= 1.000000 
-dualbound = 3337252.612216, lowerbound=1260179.612216, norm of subgrad 1123.144075	dualbound = 3337252.612216, lowerbound=1260179.612216, norm of subgrad 37.210053	 stepsize= 1.000000 
-dualbound = 3337318.959910, lowerbound=1258310.959910, norm of subgrad 1122.345740	dualbound = 3337318.959910, lowerbound=1258310.959910, norm of subgrad 37.621107	 stepsize= 1.000000 
-dualbound = 3337400.845018, lowerbound=1259849.845018, norm of subgrad 1123.013733	dualbound = 3337400.845018, lowerbound=1259849.845018, norm of subgrad 37.307976	 stepsize= 1.000000 
-dualbound = 3337508.794320, lowerbound=1253083.794320, norm of subgrad 1119.989194	dualbound = 3337508.794320, lowerbound=1253083.794320, norm of subgrad 37.415896	 stepsize= 1.000000 
-dualbound = 3337599.666841, lowerbound=1264705.666841, norm of subgrad 1125.158952	dualbound = 3337599.666841, lowerbound=1264705.666841, norm of subgrad 36.984761	 stepsize= 1.000000 
-dualbound = 3337696.500581, lowerbound=1255917.500581, norm of subgrad 1121.240608	dualbound = 3337696.500581, lowerbound=1255917.500581, norm of subgrad 36.875924	 stepsize= 1.000000 
-dualbound = 3337769.005665, lowerbound=1262071.005665, norm of subgrad 1123.969753	dualbound = 3337769.005665, lowerbound=1262071.005665, norm of subgrad 36.187085	 stepsize= 1.000000 
-dualbound = 3337876.674279, lowerbound=1253617.674279, norm of subgrad 1120.205639	dualbound = 3337876.674279, lowerbound=1253617.674279, norm of subgrad 36.751444	 stepsize= 1.000000 
-dualbound = 3337965.383844, lowerbound=1263429.383844, norm of subgrad 1124.581426	dualbound = 3337965.383844, lowerbound=1263429.383844, norm of subgrad 36.643002	 stepsize= 1.000000 
-dualbound = 3338049.150818, lowerbound=1257933.150818, norm of subgrad 1122.160484	dualbound = 3338049.150818, lowerbound=1257933.150818, norm of subgrad 37.346579	 stepsize= 1.000000 
-dualbound = 3338114.797135, lowerbound=1256237.797135, norm of subgrad 1121.415533	dualbound = 3338114.797135, lowerbound=1256237.797135, norm of subgrad 37.425210	 stepsize= 1.000000 
-dualbound = 3338221.177209, lowerbound=1258156.177209, norm of subgrad 1122.261189	dualbound = 3338221.177209, lowerbound=1258156.177209, norm of subgrad 37.687930	 stepsize= 1.000000 
-dualbound = 3338319.448475, lowerbound=1260148.448475, norm of subgrad 1123.124414	dualbound = 3338319.448475, lowerbound=1260148.448475, norm of subgrad 36.854732	 stepsize= 1.000000 
-dualbound = 3338409.303080, lowerbound=1252099.303080, norm of subgrad 1119.544686	dualbound = 3338409.303080, lowerbound=1252099.303080, norm of subgrad 37.025054	 stepsize= 1.000000 
-dualbound = 3338490.507659, lowerbound=1261348.507659, norm of subgrad 1123.642518	dualbound = 3338490.507659, lowerbound=1261348.507659, norm of subgrad 36.127615	 stepsize= 1.000000 
-dualbound = 3338608.023967, lowerbound=1259235.023967, norm of subgrad 1122.724376	dualbound = 3338608.023967, lowerbound=1259235.023967, norm of subgrad 37.316435	 stepsize= 1.000000 
-dualbound = 3338684.059833, lowerbound=1257435.059833, norm of subgrad 1121.932734	dualbound = 3338684.059833, lowerbound=1257435.059833, norm of subgrad 37.067990	 stepsize= 1.000000 
-dualbound = 3338755.818857, lowerbound=1257882.818857, norm of subgrad 1122.154543	dualbound = 3338755.818857, lowerbound=1257882.818857, norm of subgrad 37.679690	 stepsize= 1.000000 
-dualbound = 3338829.360021, lowerbound=1255939.360021, norm of subgrad 1121.279341	dualbound = 3338829.360021, lowerbound=1255939.360021, norm of subgrad 37.437163	 stepsize= 1.000000 
-dualbound = 3338969.200294, lowerbound=1259903.200294, norm of subgrad 1123.027248	dualbound = 3338969.200294, lowerbound=1259903.200294, norm of subgrad 37.773539	 stepsize= 1.000000 
-dualbound = 3339043.924782, lowerbound=1257960.924782, norm of subgrad 1122.165730	dualbound = 3339043.924782, lowerbound=1257960.924782, norm of subgrad 37.009789	 stepsize= 1.000000 
-dualbound = 3339126.793127, lowerbound=1256663.793127, norm of subgrad 1121.592080	dualbound = 3339126.793127, lowerbound=1256663.793127, norm of subgrad 37.254105	 stepsize= 1.000000 
-dualbound = 3339220.322013, lowerbound=1256854.322013, norm of subgrad 1121.673893	dualbound = 3339220.322013, lowerbound=1256854.322013, norm of subgrad 37.303202	 stepsize= 1.000000 
-dualbound = 3339299.038450, lowerbound=1257280.038450, norm of subgrad 1121.859634	dualbound = 3339299.038450, lowerbound=1257280.038450, norm of subgrad 36.982650	 stepsize= 1.000000 
-dualbound = 3339405.544748, lowerbound=1265502.544748, norm of subgrad 1125.483694	dualbound = 3339405.544748, lowerbound=1265502.544748, norm of subgrad 36.297470	 stepsize= 1.000000 
-dualbound = 3339515.532484, lowerbound=1256217.532484, norm of subgrad 1121.348979	dualbound = 3339515.532484, lowerbound=1256217.532484, norm of subgrad 36.276545	 stepsize= 1.000000 
-dualbound = 3339608.546686, lowerbound=1260293.546686, norm of subgrad 1123.180104	dualbound = 3339608.546686, lowerbound=1260293.546686, norm of subgrad 36.510467	 stepsize= 1.000000 
-dualbound = 3339704.077640, lowerbound=1254540.077640, norm of subgrad 1120.598535	dualbound = 3339704.077640, lowerbound=1254540.077640, norm of subgrad 36.007374	 stepsize= 1.000000 
-dualbound = 3339768.560320, lowerbound=1259520.560320, norm of subgrad 1122.844406	dualbound = 3339768.560320, lowerbound=1259520.560320, norm of subgrad 36.379701	 stepsize= 1.000000 
-dualbound = 3339869.140223, lowerbound=1255402.140224, norm of subgrad 1121.003631	dualbound = 3339869.140223, lowerbound=1255402.140224, norm of subgrad 36.709398	 stepsize= 1.000000 
-dualbound = 3339958.179724, lowerbound=1262384.179724, norm of subgrad 1124.131300	dualbound = 3339958.179724, lowerbound=1262384.179724, norm of subgrad 37.095006	 stepsize= 1.000000 
-dualbound = 3340047.301260, lowerbound=1259282.301260, norm of subgrad 1122.742313	dualbound = 3340047.301260, lowerbound=1259282.301260, norm of subgrad 36.839130	 stepsize= 1.000000 
-dualbound = 3340114.912312, lowerbound=1257790.912312, norm of subgrad 1122.122058	dualbound = 3340114.912312, lowerbound=1257790.912312, norm of subgrad 37.876260	 stepsize= 1.000000 
-dualbound = 3340212.108699, lowerbound=1255898.108699, norm of subgrad 1121.221704	dualbound = 3340212.108699, lowerbound=1255898.108699, norm of subgrad 36.567696	 stepsize= 1.000000 
-dualbound = 3340312.953577, lowerbound=1262360.953577, norm of subgrad 1124.134313	dualbound = 3340312.953577, lowerbound=1262360.953577, norm of subgrad 37.654281	 stepsize= 1.000000 
-dualbound = 3340390.916365, lowerbound=1257983.916365, norm of subgrad 1122.167508	dualbound = 3340390.916365, lowerbound=1257983.916365, norm of subgrad 36.796233	 stepsize= 1.000000 
-dualbound = 3340497.369271, lowerbound=1263817.369271, norm of subgrad 1124.783254	dualbound = 3340497.369271, lowerbound=1263817.369271, norm of subgrad 37.768411	 stepsize= 1.000000 
-dualbound = 3340561.374552, lowerbound=1254273.374552, norm of subgrad 1120.526829	dualbound = 3340561.374552, lowerbound=1254273.374552, norm of subgrad 37.027088	 stepsize= 1.000000 
-dualbound = 3340689.812160, lowerbound=1261181.812160, norm of subgrad 1123.569674	dualbound = 3340689.812160, lowerbound=1261181.812160, norm of subgrad 36.816268	 stepsize= 1.000000 
-dualbound = 3340797.577820, lowerbound=1256239.577820, norm of subgrad 1121.347216	dualbound = 3340797.577820, lowerbound=1256239.577820, norm of subgrad 35.885452	 stepsize= 1.000000 
-dualbound = 3340899.124480, lowerbound=1263268.124480, norm of subgrad 1124.491941	dualbound = 3340899.124480, lowerbound=1263268.124480, norm of subgrad 36.270465	 stepsize= 1.000000 
-dualbound = 3340955.025645, lowerbound=1250711.025645, norm of subgrad 1118.919580	dualbound = 3340955.025645, lowerbound=1250711.025645, norm of subgrad 36.412926	 stepsize= 1.000000 
-dualbound = 3341029.509619, lowerbound=1257755.509619, norm of subgrad 1122.051028	dualbound = 3341029.509619, lowerbound=1257755.509619, norm of subgrad 36.297162	 stepsize= 1.000000 
-dualbound = 3341128.787918, lowerbound=1259759.787918, norm of subgrad 1122.966958	dualbound = 3341128.787918, lowerbound=1259759.787918, norm of subgrad 37.340036	 stepsize= 1.000000 
-dualbound = 3341221.579097, lowerbound=1259882.579097, norm of subgrad 1123.004265	dualbound = 3341221.579097, lowerbound=1259882.579097, norm of subgrad 36.725892	 stepsize= 1.000000 
-dualbound = 3341298.627041, lowerbound=1260090.627041, norm of subgrad 1123.118260	dualbound = 3341298.627041, lowerbound=1260090.627041, norm of subgrad 37.162453	 stepsize= 1.000000 
-dualbound = 3341401.996753, lowerbound=1260206.996753, norm of subgrad 1123.157601	dualbound = 3341401.996753, lowerbound=1260206.996753, norm of subgrad 37.139867	 stepsize= 1.000000 
-dualbound = 3341488.426474, lowerbound=1256629.426474, norm of subgrad 1121.545107	dualbound = 3341488.426474, lowerbound=1256629.426474, norm of subgrad 36.337718	 stepsize= 1.000000 
-dualbound = 3341603.341775, lowerbound=1261885.341775, norm of subgrad 1123.868917	dualbound = 3341603.341775, lowerbound=1261885.341775, norm of subgrad 36.206564	 stepsize= 1.000000 
-dualbound = 3341672.621533, lowerbound=1259076.621533, norm of subgrad 1122.682333	dualbound = 3341672.621533, lowerbound=1259076.621533, norm of subgrad 37.527054	 stepsize= 1.000000 
-dualbound = 3341729.412036, lowerbound=1257471.412036, norm of subgrad 1121.961859	dualbound = 3341729.412036, lowerbound=1257471.412036, norm of subgrad 37.199335	 stepsize= 1.000000 
-dualbound = 3341843.400872, lowerbound=1260250.400872, norm of subgrad 1123.192504	dualbound = 3341843.400872, lowerbound=1260250.400872, norm of subgrad 37.749024	 stepsize= 1.000000 
-dualbound = 3341922.110004, lowerbound=1254224.110004, norm of subgrad 1120.506631	dualbound = 3341922.110004, lowerbound=1254224.110004, norm of subgrad 37.278803	 stepsize= 1.000000 
-dualbound = 3342038.582222, lowerbound=1263131.582222, norm of subgrad 1124.466354	dualbound = 3342038.582222, lowerbound=1263131.582222, norm of subgrad 37.542938	 stepsize= 1.000000 
-dualbound = 3342115.635278, lowerbound=1258767.635278, norm of subgrad 1122.527788	dualbound = 3342115.635278, lowerbound=1258767.635278, norm of subgrad 37.122137	 stepsize= 1.000000 
-dualbound = 3342213.395585, lowerbound=1258503.395585, norm of subgrad 1122.412756	dualbound = 3342213.395585, lowerbound=1258503.395585, norm of subgrad 37.480132	 stepsize= 1.000000 
-dualbound = 3342293.093652, lowerbound=1255912.093652, norm of subgrad 1121.237751	dualbound = 3342293.093652, lowerbound=1255912.093652, norm of subgrad 36.629197	 stepsize= 1.000000 
-dualbound = 3342402.056753, lowerbound=1261909.056753, norm of subgrad 1123.877688	dualbound = 3342402.056753, lowerbound=1261909.056753, norm of subgrad 36.068866	 stepsize= 1.000000 
-dualbound = 3342501.015616, lowerbound=1258505.015616, norm of subgrad 1122.387195	dualbound = 3342501.015616, lowerbound=1258505.015616, norm of subgrad 36.700938	 stepsize= 1.000000 
-dualbound = 3342593.529820, lowerbound=1258467.529820, norm of subgrad 1122.349558	dualbound = 3342593.529820, lowerbound=1258467.529820, norm of subgrad 35.965458	 stepsize= 1.000000 
-dualbound = 3342681.936107, lowerbound=1259906.936107, norm of subgrad 1123.012438	dualbound = 3342681.936107, lowerbound=1259906.936107, norm of subgrad 36.584236	 stepsize= 1.000000 
-dualbound = 3342743.119340, lowerbound=1258044.119340, norm of subgrad 1122.232649	dualbound = 3342743.119340, lowerbound=1258044.119340, norm of subgrad 37.725101	 stepsize= 1.000000 
-dualbound = 3342824.098291, lowerbound=1258249.098291, norm of subgrad 1122.283876	dualbound = 3342824.098291, lowerbound=1258249.098291, norm of subgrad 36.782862	 stepsize= 1.000000 
-dualbound = 3342946.765409, lowerbound=1255002.765409, norm of subgrad 1120.840205	dualbound = 3342946.765409, lowerbound=1255002.765409, norm of subgrad 37.452198	 stepsize= 1.000000 
-dualbound = 3343027.897062, lowerbound=1256898.897062, norm of subgrad 1121.689305	dualbound = 3343027.897062, lowerbound=1256898.897062, norm of subgrad 37.001779	 stepsize= 1.000000 
-dualbound = 3343103.755474, lowerbound=1257178.755474, norm of subgrad 1121.819395	dualbound = 3343103.755474, lowerbound=1257178.755474, norm of subgrad 37.092565	 stepsize= 1.000000 
-dualbound = 3343219.947819, lowerbound=1258516.947819, norm of subgrad 1122.398302	dualbound = 3343219.947819, lowerbound=1258516.947819, norm of subgrad 37.110542	 stepsize= 1.000000 
-dualbound = 3343296.511808, lowerbound=1258107.511808, norm of subgrad 1122.212775	dualbound = 3343296.511808, lowerbound=1258107.511808, norm of subgrad 36.476897	 stepsize= 1.000000 
-dualbound = 3343400.850892, lowerbound=1256167.850892, norm of subgrad 1121.357147	dualbound = 3343400.850892, lowerbound=1256167.850892, norm of subgrad 37.125989	 stepsize= 1.000000 
-dualbound = 3343489.596633, lowerbound=1264073.596633, norm of subgrad 1124.899372	dualbound = 3343489.596633, lowerbound=1264073.596633, norm of subgrad 37.599810	 stepsize= 1.000000 
-dualbound = 3343535.289499, lowerbound=1258857.289499, norm of subgrad 1122.585538	dualbound = 3343535.289499, lowerbound=1258857.289499, norm of subgrad 37.238325	 stepsize= 1.000000 
-dualbound = 3343665.976749, lowerbound=1264123.976749, norm of subgrad 1124.892873	dualbound = 3343665.976749, lowerbound=1264123.976749, norm of subgrad 37.291919	 stepsize= 1.000000 
-dualbound = 3343749.786719, lowerbound=1257115.786719, norm of subgrad 1121.770826	dualbound = 3343749.786719, lowerbound=1257115.786719, norm of subgrad 36.576085	 stepsize= 1.000000 
-dualbound = 3343847.232987, lowerbound=1258744.232987, norm of subgrad 1122.514692	dualbound = 3343847.232987, lowerbound=1258744.232987, norm of subgrad 37.315496	 stepsize= 1.000000 
-dualbound = 3343947.389216, lowerbound=1255858.389216, norm of subgrad 1121.206667	dualbound = 3343947.389216, lowerbound=1255858.389216, norm of subgrad 36.690002	 stepsize= 1.000000 
-dualbound = 3344024.014700, lowerbound=1260350.014700, norm of subgrad 1123.219486	dualbound = 3344024.014700, lowerbound=1260350.014700, norm of subgrad 36.723637	 stepsize= 1.000000 
-dualbound = 3344122.397890, lowerbound=1256960.397890, norm of subgrad 1121.704238	dualbound = 3344122.397890, lowerbound=1256960.397890, norm of subgrad 36.856250	 stepsize= 1.000000 
-dualbound = 3344200.379925, lowerbound=1259421.379925, norm of subgrad 1122.785990	dualbound = 3344200.379925, lowerbound=1259421.379925, norm of subgrad 36.124535	 stepsize= 1.000000 
-dualbound = 3344313.590652, lowerbound=1259351.590652, norm of subgrad 1122.767380	dualbound = 3344313.590652, lowerbound=1259351.590652, norm of subgrad 36.989333	 stepsize= 1.000000 
-dualbound = 3344394.020205, lowerbound=1263061.020205, norm of subgrad 1124.419859	dualbound = 3344394.020205, lowerbound=1263061.020205, norm of subgrad 36.598218	 stepsize= 1.000000 
-dualbound = 3344459.205887, lowerbound=1258139.205887, norm of subgrad 1122.252737	dualbound = 3344459.205887, lowerbound=1258139.205887, norm of subgrad 37.110452	 stepsize= 1.000000 
-dualbound = 3344551.045268, lowerbound=1257131.045268, norm of subgrad 1121.783422	dualbound = 3344551.045268, lowerbound=1257131.045268, norm of subgrad 36.862439	 stepsize= 1.000000 
-dualbound = 3344639.327185, lowerbound=1259387.327185, norm of subgrad 1122.774834	dualbound = 3344639.327185, lowerbound=1259387.327185, norm of subgrad 36.390684	 stepsize= 1.000000 
-dualbound = 3344743.453095, lowerbound=1257249.453095, norm of subgrad 1121.819260	dualbound = 3344743.453095, lowerbound=1257249.453095, norm of subgrad 36.511997	 stepsize= 1.000000 
-dualbound = 3344851.201449, lowerbound=1258486.201449, norm of subgrad 1122.386832	dualbound = 3344851.201449, lowerbound=1258486.201449, norm of subgrad 37.064111	 stepsize= 1.000000 
-dualbound = 3344927.946975, lowerbound=1263266.946975, norm of subgrad 1124.511426	dualbound = 3344927.946975, lowerbound=1263266.946975, norm of subgrad 36.547853	 stepsize= 1.000000 
-dualbound = 3345000.022883, lowerbound=1258255.022883, norm of subgrad 1122.285624	dualbound = 3345000.022883, lowerbound=1258255.022883, norm of subgrad 36.634354	 stepsize= 1.000000 
-dualbound = 3345088.834911, lowerbound=1260128.834911, norm of subgrad 1123.131263	dualbound = 3345088.834911, lowerbound=1260128.834911, norm of subgrad 37.199624	 stepsize= 1.000000 
-dualbound = 3345168.815498, lowerbound=1259965.815498, norm of subgrad 1123.041769	dualbound = 3345168.815498, lowerbound=1259965.815498, norm of subgrad 36.564745	 stepsize= 1.000000 
-dualbound = 3345272.802429, lowerbound=1260404.802429, norm of subgrad 1123.241649	dualbound = 3345272.802429, lowerbound=1260404.802429, norm of subgrad 37.026841	 stepsize= 1.000000 
-dualbound = 3345363.739010, lowerbound=1257819.739010, norm of subgrad 1122.089898	dualbound = 3345363.739010, lowerbound=1257819.739010, norm of subgrad 36.836620	 stepsize= 1.000000 
-dualbound = 3345458.055500, lowerbound=1262369.055500, norm of subgrad 1124.116122	dualbound = 3345458.055500, lowerbound=1262369.055500, norm of subgrad 36.909572	 stepsize= 1.000000 
-dualbound = 3345549.657461, lowerbound=1255677.657461, norm of subgrad 1121.132310	dualbound = 3345549.657461, lowerbound=1255677.657461, norm of subgrad 36.764140	 stepsize= 1.000000 
-dualbound = 3345643.107676, lowerbound=1255667.107676, norm of subgrad 1121.122700	dualbound = 3345643.107676, lowerbound=1255667.107676, norm of subgrad 36.639463	 stepsize= 1.000000 
-dualbound = 3345710.541465, lowerbound=1258650.541465, norm of subgrad 1122.493003	dualbound = 3345710.541465, lowerbound=1258650.541465, norm of subgrad 37.515781	 stepsize= 1.000000 
-dualbound = 3345813.005664, lowerbound=1261504.005664, norm of subgrad 1123.750420	dualbound = 3345813.005664, lowerbound=1261504.005664, norm of subgrad 37.596066	 stepsize= 1.000000 
-dualbound = 3345886.149549, lowerbound=1258257.149549, norm of subgrad 1122.318203	dualbound = 3345886.149549, lowerbound=1258257.149549, norm of subgrad 37.605104	 stepsize= 1.000000 
-dualbound = 3345988.123572, lowerbound=1260411.123572, norm of subgrad 1123.262714	dualbound = 3345988.123572, lowerbound=1260411.123572, norm of subgrad 37.549621	 stepsize= 1.000000 
-dualbound = 3346077.840878, lowerbound=1256122.840878, norm of subgrad 1121.380328	dualbound = 3346077.840878, lowerbound=1256122.840878, norm of subgrad 38.219332	 stepsize= 1.000000 
-dualbound = 3346155.887592, lowerbound=1256542.887592, norm of subgrad 1121.579639	dualbound = 3346155.887592, lowerbound=1256542.887592, norm of subgrad 38.419353	 stepsize= 1.000000 
-dualbound = 3346260.917339, lowerbound=1258688.917339, norm of subgrad 1122.496734	dualbound = 3346260.917339, lowerbound=1258688.917339, norm of subgrad 37.616881	 stepsize= 1.000000 
-dualbound = 3346367.318611, lowerbound=1262313.318611, norm of subgrad 1124.071314	dualbound = 3346367.318611, lowerbound=1262313.318611, norm of subgrad 36.460955	 stepsize= 1.000000 
-dualbound = 3346459.315824, lowerbound=1254901.315824, norm of subgrad 1120.758366	dualbound = 3346459.315824, lowerbound=1254901.315824, norm of subgrad 35.916531	 stepsize= 1.000000 
-dualbound = 3346563.392225, lowerbound=1258426.392225, norm of subgrad 1122.333904	dualbound = 3346563.392225, lowerbound=1258426.392225, norm of subgrad 36.208789	 stepsize= 1.000000 
-dualbound = 3346621.351656, lowerbound=1256238.351656, norm of subgrad 1121.377881	dualbound = 3346621.351656, lowerbound=1256238.351656, norm of subgrad 36.165722	 stepsize= 1.000000 
-dualbound = 3346713.855447, lowerbound=1259704.855447, norm of subgrad 1122.925579	dualbound = 3346713.855447, lowerbound=1259704.855447, norm of subgrad 36.735593	 stepsize= 1.000000 
-dualbound = 3346807.404623, lowerbound=1258261.404623, norm of subgrad 1122.286686	dualbound = 3346807.404623, lowerbound=1258261.404623, norm of subgrad 36.872065	 stepsize= 1.000000 
-dualbound = 3346895.069527, lowerbound=1258645.069527, norm of subgrad 1122.496802	dualbound = 3346895.069527, lowerbound=1258645.069527, norm of subgrad 37.969263	 stepsize= 1.000000 
-dualbound = 3346970.801588, lowerbound=1257949.801588, norm of subgrad 1122.174586	dualbound = 3346970.801588, lowerbound=1257949.801588, norm of subgrad 37.439712	 stepsize= 1.000000 
-dualbound = 3347073.037599, lowerbound=1257180.037599, norm of subgrad 1121.814172	dualbound = 3347073.037599, lowerbound=1257180.037599, norm of subgrad 37.272456	 stepsize= 1.000000 
-dualbound = 3347176.622498, lowerbound=1261698.622498, norm of subgrad 1123.847242	dualbound = 3347176.622498, lowerbound=1261698.622498, norm of subgrad 37.915497	 stepsize= 1.000000 
-dualbound = 3347252.757346, lowerbound=1259760.757346, norm of subgrad 1122.950915	dualbound = 3347252.757346, lowerbound=1259760.757346, norm of subgrad 36.525811	 stepsize= 1.000000 
-dualbound = 3347355.948637, lowerbound=1260532.948637, norm of subgrad 1123.302697	dualbound = 3347355.948637, lowerbound=1260532.948637, norm of subgrad 37.137465	 stepsize= 1.000000 
-dualbound = 3347457.607155, lowerbound=1258447.607155, norm of subgrad 1122.348701	dualbound = 3347457.607155, lowerbound=1258447.607155, norm of subgrad 36.340866	 stepsize= 1.000000 
-dualbound = 3347539.543504, lowerbound=1256202.543504, norm of subgrad 1121.382871	dualbound = 3347539.543504, lowerbound=1256202.543504, norm of subgrad 37.134032	 stepsize= 1.000000 
-dualbound = 3347621.344739, lowerbound=1257156.344739, norm of subgrad 1121.804058	dualbound = 3347621.344739, lowerbound=1257156.344739, norm of subgrad 37.010826	 stepsize= 1.000000 
-dualbound = 3347717.238279, lowerbound=1264606.238279, norm of subgrad 1125.108990	dualbound = 3347717.238279, lowerbound=1264606.238279, norm of subgrad 36.876734	 stepsize= 1.000000 
-dualbound = 3347786.731901, lowerbound=1257268.731901, norm of subgrad 1121.858160	dualbound = 3347786.731901, lowerbound=1257268.731901, norm of subgrad 36.966115	 stepsize= 1.000000 
-dualbound = 3347894.417508, lowerbound=1260954.417508, norm of subgrad 1123.458685	dualbound = 3347894.417508, lowerbound=1260954.417508, norm of subgrad 36.231003	 stepsize= 1.000000 
-dualbound = 3347986.730586, lowerbound=1258995.730586, norm of subgrad 1122.590188	dualbound = 3347986.730586, lowerbound=1258995.730586, norm of subgrad 36.129117	 stepsize= 1.000000 
-dualbound = 3348067.610226, lowerbound=1260314.610226, norm of subgrad 1123.208178	dualbound = 3348067.610226, lowerbound=1260314.610226, norm of subgrad 36.917200	 stepsize= 1.000000 
-dualbound = 3348144.118264, lowerbound=1260314.118264, norm of subgrad 1123.195494	dualbound = 3348144.118264, lowerbound=1260314.118264, norm of subgrad 36.476130	 stepsize= 1.000000 
-dualbound = 3348266.000035, lowerbound=1259558.000035, norm of subgrad 1122.862859	dualbound = 3348266.000035, lowerbound=1259558.000035, norm of subgrad 37.214000	 stepsize= 1.000000 
-dualbound = 3348351.519742, lowerbound=1262664.519742, norm of subgrad 1124.238195	dualbound = 3348351.519742, lowerbound=1262664.519742, norm of subgrad 36.503694	 stepsize= 1.000000 
-dualbound = 3348435.778053, lowerbound=1253629.778053, norm of subgrad 1120.190063	dualbound = 3348435.778053, lowerbound=1253629.778053, norm of subgrad 35.780697	 stepsize= 1.000000 
-dualbound = 3348520.455057, lowerbound=1261529.455057, norm of subgrad 1123.751065	dualbound = 3348520.455057, lowerbound=1261529.455057, norm of subgrad 37.036158	 stepsize= 1.000000 
-dualbound = 3348595.080960, lowerbound=1256295.080960, norm of subgrad 1121.426806	dualbound = 3348595.080960, lowerbound=1256295.080960, norm of subgrad 37.116383	 stepsize= 1.000000 
-dualbound = 3348691.656070, lowerbound=1259665.656070, norm of subgrad 1122.953987	dualbound = 3348691.656070, lowerbound=1259665.656070, norm of subgrad 38.165103	 stepsize= 1.000000 
-dualbound = 3348775.075863, lowerbound=1259122.075863, norm of subgrad 1122.661603	dualbound = 3348775.075863, lowerbound=1259122.075863, norm of subgrad 36.474920	 stepsize= 1.000000 
-dualbound = 3348873.339868, lowerbound=1256623.339868, norm of subgrad 1121.565575	dualbound = 3348873.339868, lowerbound=1256623.339868, norm of subgrad 37.205699	 stepsize= 1.000000 
-dualbound = 3348956.477073, lowerbound=1265754.477073, norm of subgrad 1125.618709	dualbound = 3348956.477073, lowerbound=1265754.477073, norm of subgrad 36.689743	 stepsize= 1.000000 
-dualbound = 3349036.074503, lowerbound=1257932.074503, norm of subgrad 1122.148419	dualbound = 3349036.074503, lowerbound=1257932.074503, norm of subgrad 36.940458	 stepsize= 1.000000 
-dualbound = 3349135.493256, lowerbound=1259758.493256, norm of subgrad 1122.947235	dualbound = 3349135.493256, lowerbound=1259758.493256, norm of subgrad 36.761648	 stepsize= 1.000000 
-dualbound = 3349212.558362, lowerbound=1254889.558362, norm of subgrad 1120.824053	dualbound = 3349212.558362, lowerbound=1254889.558362, norm of subgrad 37.869052	 stepsize= 1.000000 
-dualbound = 3349267.811573, lowerbound=1261711.811573, norm of subgrad 1123.840652	dualbound = 3349267.811573, lowerbound=1261711.811573, norm of subgrad 36.895165	 stepsize= 1.000000 
-dualbound = 3349374.652240, lowerbound=1260134.652240, norm of subgrad 1123.140086	dualbound = 3349374.652240, lowerbound=1260134.652240, norm of subgrad 37.627658	 stepsize= 1.000000 
-dualbound = 3349495.260183, lowerbound=1259263.260183, norm of subgrad 1122.728489	dualbound = 3349495.260183, lowerbound=1259263.260183, norm of subgrad 37.102668	 stepsize= 1.000000 
-dualbound = 3349552.193605, lowerbound=1257777.193605, norm of subgrad 1122.103468	dualbound = 3349552.193605, lowerbound=1257777.193605, norm of subgrad 37.362192	 stepsize= 1.000000 
-dualbound = 3349669.317327, lowerbound=1261028.317327, norm of subgrad 1123.534297	dualbound = 3349669.317327, lowerbound=1261028.317327, norm of subgrad 37.657984	 stepsize= 1.000000 
-dualbound = 3349753.289644, lowerbound=1262106.289644, norm of subgrad 1124.011250	dualbound = 3349753.289644, lowerbound=1262106.289644, norm of subgrad 37.134517	 stepsize= 1.000000 
-dualbound = 3349853.071084, lowerbound=1261522.071084, norm of subgrad 1123.722417	dualbound = 3349853.071084, lowerbound=1261522.071084, norm of subgrad 36.466168	 stepsize= 1.000000 
-dualbound = 3349951.331693, lowerbound=1256829.331693, norm of subgrad 1121.634669	dualbound = 3349951.331693, lowerbound=1256829.331693, norm of subgrad 36.513841	 stepsize= 1.000000 
-dualbound = 3350035.709298, lowerbound=1263869.709298, norm of subgrad 1124.785628	dualbound = 3350035.709298, lowerbound=1263869.709298, norm of subgrad 36.842606	 stepsize= 1.000000 
-dualbound = 3350096.724658, lowerbound=1257706.724658, norm of subgrad 1122.052015	dualbound = 3350096.724658, lowerbound=1257706.724658, norm of subgrad 36.810533	 stepsize= 1.000000 
-dualbound = 3350221.288498, lowerbound=1261993.288498, norm of subgrad 1123.959647	dualbound = 3350221.288498, lowerbound=1261993.288498, norm of subgrad 37.637267	 stepsize= 1.000000 
-dualbound = 3350279.172152, lowerbound=1261269.172152, norm of subgrad 1123.645038	dualbound = 3350279.172152, lowerbound=1261269.172152, norm of subgrad 36.971390	 stepsize= 1.000000 
-dualbound = 3350389.585552, lowerbound=1261280.585552, norm of subgrad 1123.641217	dualbound = 3350389.585552, lowerbound=1261280.585552, norm of subgrad 37.408734	 stepsize= 1.000000 
-dualbound = 3350483.725311, lowerbound=1257149.725311, norm of subgrad 1121.807348	dualbound = 3350483.725311, lowerbound=1257149.725311, norm of subgrad 37.364954	 stepsize= 1.000000 
-dualbound = 3350561.836782, lowerbound=1258805.836782, norm of subgrad 1122.534559	dualbound = 3350561.836782, lowerbound=1258805.836782, norm of subgrad 36.825419	 stepsize= 1.000000 
-dualbound = 3350650.988420, lowerbound=1258170.988420, norm of subgrad 1122.249967	dualbound = 3350650.988420, lowerbound=1258170.988420, norm of subgrad 36.920883	 stepsize= 1.000000 
-dualbound = 3350743.139524, lowerbound=1256750.139524, norm of subgrad 1121.600704	dualbound = 3350743.139524, lowerbound=1256750.139524, norm of subgrad 36.471237	 stepsize= 1.000000 
-dualbound = 3350850.072768, lowerbound=1258324.072768, norm of subgrad 1122.317278	dualbound = 3350850.072768, lowerbound=1258324.072768, norm of subgrad 37.133990	 stepsize= 1.000000 
-dualbound = 3350943.625783, lowerbound=1261129.625783, norm of subgrad 1123.571371	dualbound = 3350943.625783, lowerbound=1261129.625783, norm of subgrad 37.101927	 stepsize= 1.000000 
-dualbound = 3351028.119482, lowerbound=1258826.119482, norm of subgrad 1122.516868	dualbound = 3351028.119482, lowerbound=1258826.119482, norm of subgrad 36.090078	 stepsize= 1.000000 
-dualbound = 3351129.721369, lowerbound=1256211.721369, norm of subgrad 1121.367790	dualbound = 3351129.721369, lowerbound=1256211.721369, norm of subgrad 36.818499	 stepsize= 1.000000 
-dualbound = 3351175.521196, lowerbound=1261247.521196, norm of subgrad 1123.643414	dualbound = 3351175.521196, lowerbound=1261247.521196, norm of subgrad 37.051313	 stepsize= 1.000000 
-dualbound = 3351293.416997, lowerbound=1263193.416997, norm of subgrad 1124.487180	dualbound = 3351293.416997, lowerbound=1263193.416997, norm of subgrad 37.361689	 stepsize= 1.000000 
-dualbound = 3351365.009198, lowerbound=1256885.009198, norm of subgrad 1121.679103	dualbound = 3351365.009198, lowerbound=1256885.009198, norm of subgrad 36.750404	 stepsize= 1.000000 
-dualbound = 3351465.733160, lowerbound=1261619.733160, norm of subgrad 1123.818817	dualbound = 3351465.733160, lowerbound=1261619.733160, norm of subgrad 38.075241	 stepsize= 1.000000 
-dualbound = 3351531.515869, lowerbound=1256767.515870, norm of subgrad 1121.618258	dualbound = 3351531.515869, lowerbound=1256767.515870, norm of subgrad 36.411299	 stepsize= 1.000000 
-dualbound = 3351656.292273, lowerbound=1261557.292273, norm of subgrad 1123.734529	dualbound = 3351656.292273, lowerbound=1261557.292273, norm of subgrad 36.698452	 stepsize= 1.000000 
-dualbound = 3351728.037302, lowerbound=1257026.037302, norm of subgrad 1121.764698	dualbound = 3351728.037302, lowerbound=1257026.037302, norm of subgrad 37.439886	 stepsize= 1.000000 
-dualbound = 3351825.755090, lowerbound=1264375.755090, norm of subgrad 1125.027891	dualbound = 3351825.755090, lowerbound=1264375.755090, norm of subgrad 37.546209	 stepsize= 1.000000 
-dualbound = 3351895.781705, lowerbound=1256176.781705, norm of subgrad 1121.385207	dualbound = 3351895.781705, lowerbound=1256176.781705, norm of subgrad 37.390194	 stepsize= 1.000000 
-dualbound = 3351991.318746, lowerbound=1259464.318746, norm of subgrad 1122.855876	dualbound = 3351991.318746, lowerbound=1259464.318746, norm of subgrad 37.901676	 stepsize= 1.000000 
-dualbound = 3352087.803524, lowerbound=1259919.803524, norm of subgrad 1123.025291	dualbound = 3352087.803524, lowerbound=1259919.803524, norm of subgrad 36.911851	 stepsize= 1.000000 
-dualbound = 3352179.785692, lowerbound=1259506.785692, norm of subgrad 1122.826694	dualbound = 3352179.785692, lowerbound=1259506.785692, norm of subgrad 36.400305	 stepsize= 1.000000 
-dualbound = 3352271.835741, lowerbound=1257807.835741, norm of subgrad 1122.087713	dualbound = 3352271.835741, lowerbound=1257807.835741, norm of subgrad 36.946584	 stepsize= 1.000000 
-dualbound = 3352365.261567, lowerbound=1260294.261567, norm of subgrad 1123.173745	dualbound = 3352365.261567, lowerbound=1260294.261567, norm of subgrad 36.310134	 stepsize= 1.000000 
-dualbound = 3352433.423295, lowerbound=1259168.423295, norm of subgrad 1122.691152	dualbound = 3352433.423295, lowerbound=1259168.423295, norm of subgrad 36.539865	 stepsize= 1.000000 
-dualbound = 3352530.064357, lowerbound=1260383.064357, norm of subgrad 1123.236424	dualbound = 3352530.064357, lowerbound=1260383.064357, norm of subgrad 37.062664	 stepsize= 1.000000 
-dualbound = 3352618.304281, lowerbound=1258360.304281, norm of subgrad 1122.318718	dualbound = 3352618.304281, lowerbound=1258360.304281, norm of subgrad 36.431304	 stepsize= 1.000000 
-dualbound = 3352727.420511, lowerbound=1263480.420511, norm of subgrad 1124.629459	dualbound = 3352727.420511, lowerbound=1263480.420511, norm of subgrad 37.684430	 stepsize= 1.000000 
-dualbound = 3352776.909965, lowerbound=1256873.909965, norm of subgrad 1121.703575	dualbound = 3352776.909965, lowerbound=1256873.909965, norm of subgrad 37.342863	 stepsize= 1.000000 
-dualbound = 3352881.790148, lowerbound=1264074.790148, norm of subgrad 1124.882123	dualbound = 3352881.790148, lowerbound=1264074.790148, norm of subgrad 37.281097	 stepsize= 1.000000 
-dualbound = 3352953.962059, lowerbound=1261847.962059, norm of subgrad 1123.901669	dualbound = 3352953.962059, lowerbound=1261847.962059, norm of subgrad 37.137204	 stepsize= 1.000000 
-dualbound = 3353075.543948, lowerbound=1260393.543948, norm of subgrad 1123.250882	dualbound = 3353075.543948, lowerbound=1260393.543948, norm of subgrad 37.690607	 stepsize= 1.000000 
-dualbound = 3353128.241741, lowerbound=1260359.241741, norm of subgrad 1123.241845	dualbound = 3353128.241741, lowerbound=1260359.241741, norm of subgrad 36.955349	 stepsize= 1.000000 
-dualbound = 3353245.972511, lowerbound=1256859.972511, norm of subgrad 1121.693796	dualbound = 3353245.972511, lowerbound=1256859.972511, norm of subgrad 38.140933	 stepsize= 1.000000 
-dualbound = 3353307.902428, lowerbound=1258304.902428, norm of subgrad 1122.343041	dualbound = 3353307.902428, lowerbound=1258304.902428, norm of subgrad 37.562347	 stepsize= 1.000000 
-dualbound = 3353415.670730, lowerbound=1256964.670730, norm of subgrad 1121.715503	dualbound = 3353415.670730, lowerbound=1256964.670730, norm of subgrad 37.266182	 stepsize= 1.000000 
-dualbound = 3353510.662401, lowerbound=1263098.662401, norm of subgrad 1124.456608	dualbound = 3353510.662401, lowerbound=1263098.662401, norm of subgrad 37.403097	 stepsize= 1.000000 
-dualbound = 3353602.703778, lowerbound=1261292.703778, norm of subgrad 1123.652840	dualbound = 3353602.703778, lowerbound=1261292.703778, norm of subgrad 37.350253	 stepsize= 1.000000 
-dualbound = 3353664.921621, lowerbound=1255134.921621, norm of subgrad 1120.919677	dualbound = 3353664.921621, lowerbound=1255134.921621, norm of subgrad 37.258796	 stepsize= 1.000000 
-dualbound = 3353770.958491, lowerbound=1256407.958491, norm of subgrad 1121.456624	dualbound = 3353770.958491, lowerbound=1256407.958491, norm of subgrad 36.919329	 stepsize= 1.000000 
-dualbound = 3353880.291997, lowerbound=1261084.291997, norm of subgrad 1123.570332	dualbound = 3353880.291997, lowerbound=1261084.291997, norm of subgrad 37.885796	 stepsize= 1.000000 
-dualbound = 3353943.554850, lowerbound=1262338.554850, norm of subgrad 1124.114565	dualbound = 3353943.554850, lowerbound=1262338.554850, norm of subgrad 36.854618	 stepsize= 1.000000 
-dualbound = 3354038.112849, lowerbound=1257550.112849, norm of subgrad 1121.981334	dualbound = 3354038.112849, lowerbound=1257550.112849, norm of subgrad 37.236514	 stepsize= 1.000000 
-dualbound = 3354127.711368, lowerbound=1259770.711368, norm of subgrad 1122.972267	dualbound = 3354127.711368, lowerbound=1259770.711368, norm of subgrad 37.223629	 stepsize= 1.000000 
-dualbound = 3354221.006802, lowerbound=1262845.006802, norm of subgrad 1124.334918	dualbound = 3354221.006802, lowerbound=1262845.006802, norm of subgrad 37.111931	 stepsize= 1.000000 
-dualbound = 3354298.191021, lowerbound=1261205.191021, norm of subgrad 1123.596988	dualbound = 3354298.191021, lowerbound=1261205.191021, norm of subgrad 36.635832	 stepsize= 1.000000 
-dualbound = 3354401.286520, lowerbound=1262113.286520, norm of subgrad 1123.990341	dualbound = 3354401.286520, lowerbound=1262113.286520, norm of subgrad 36.661908	 stepsize= 1.000000 
-dualbound = 3354514.648124, lowerbound=1260127.648124, norm of subgrad 1123.090668	dualbound = 3354514.648124, lowerbound=1260127.648124, norm of subgrad 36.309250	 stepsize= 1.000000 
-dualbound = 3354588.821349, lowerbound=1260410.821349, norm of subgrad 1123.233200	dualbound = 3354588.821349, lowerbound=1260410.821349, norm of subgrad 36.279102	 stepsize= 1.000000 
-dualbound = 3354673.474355, lowerbound=1257276.474355, norm of subgrad 1121.853143	dualbound = 3354673.474355, lowerbound=1257276.474355, norm of subgrad 36.914130	 stepsize= 1.000000 
-dualbound = 3354743.556772, lowerbound=1261145.556772, norm of subgrad 1123.560215	dualbound = 3354743.556772, lowerbound=1261145.556772, norm of subgrad 36.222678	 stepsize= 1.000000 
-dualbound = 3354871.127513, lowerbound=1258057.127513, norm of subgrad 1122.175177	dualbound = 3354871.127513, lowerbound=1258057.127513, norm of subgrad 36.709273	 stepsize= 1.000000 
-dualbound = 3354945.621254, lowerbound=1267482.621254, norm of subgrad 1126.367889	dualbound = 3354945.621254, lowerbound=1267482.621254, norm of subgrad 36.006857	 stepsize= 1.000000 
-dualbound = 3355014.146792, lowerbound=1257153.146792, norm of subgrad 1121.804861	dualbound = 3355014.146792, lowerbound=1257153.146792, norm of subgrad 36.898856	 stepsize= 1.000000 
-dualbound = 3355082.258458, lowerbound=1259327.258458, norm of subgrad 1122.780592	dualbound = 3355082.258458, lowerbound=1259327.258458, norm of subgrad 37.109455	 stepsize= 1.000000 
-dualbound = 3355187.884631, lowerbound=1258313.884631, norm of subgrad 1122.280662	dualbound = 3355187.884631, lowerbound=1258313.884631, norm of subgrad 36.133450	 stepsize= 1.000000 
-dualbound = 3355290.536967, lowerbound=1258496.536967, norm of subgrad 1122.393664	dualbound = 3355290.536967, lowerbound=1258496.536967, norm of subgrad 37.062816	 stepsize= 1.000000 
-dualbound = 3355345.544235, lowerbound=1257431.544235, norm of subgrad 1121.928939	dualbound = 3355345.544235, lowerbound=1257431.544235, norm of subgrad 36.715218	 stepsize= 1.000000 
-dualbound = 3355444.798594, lowerbound=1259675.798594, norm of subgrad 1122.932678	dualbound = 3355444.798594, lowerbound=1259675.798594, norm of subgrad 37.433332	 stepsize= 1.000000 
-dualbound = 3355544.334521, lowerbound=1262489.334521, norm of subgrad 1124.159835	dualbound = 3355544.334521, lowerbound=1262489.334521, norm of subgrad 36.681548	 stepsize= 1.000000 
-dualbound = 3355636.672638, lowerbound=1263175.672638, norm of subgrad 1124.459280	dualbound = 3355636.672638, lowerbound=1263175.672638, norm of subgrad 36.405194	 stepsize= 1.000000 
-dualbound = 3355743.344278, lowerbound=1260920.344278, norm of subgrad 1123.480015	dualbound = 3355743.344278, lowerbound=1260920.344278, norm of subgrad 37.331912	 stepsize= 1.000000 
-dualbound = 3355783.280388, lowerbound=1262101.280388, norm of subgrad 1124.045497	dualbound = 3355783.280388, lowerbound=1262101.280388, norm of subgrad 37.642212	 stepsize= 1.000000 
-dualbound = 3355864.891288, lowerbound=1258225.891288, norm of subgrad 1122.284675	dualbound = 3355864.891288, lowerbound=1258225.891288, norm of subgrad 37.129650	 stepsize= 1.000000 
-dualbound = 3355975.228605, lowerbound=1264015.228605, norm of subgrad 1124.852981	dualbound = 3355975.228605, lowerbound=1264015.228605, norm of subgrad 37.273815	 stepsize= 1.000000 
-dualbound = 3356074.985090, lowerbound=1257571.985090, norm of subgrad 1121.982168	dualbound = 3356074.985090, lowerbound=1257571.985090, norm of subgrad 37.037231	 stepsize= 1.000000 
-dualbound = 3356156.526169, lowerbound=1257518.526169, norm of subgrad 1121.979735	dualbound = 3356156.526169, lowerbound=1257518.526169, norm of subgrad 37.437162	 stepsize= 1.000000 
-dualbound = 3356236.390557, lowerbound=1256300.390557, norm of subgrad 1121.421594	dualbound = 3356236.390557, lowerbound=1256300.390557, norm of subgrad 36.957603	 stepsize= 1.000000 
-dualbound = 3356330.392590, lowerbound=1260724.392590, norm of subgrad 1123.387018	dualbound = 3356330.392590, lowerbound=1260724.392590, norm of subgrad 36.986512	 stepsize= 1.000000 
-dualbound = 3356423.365819, lowerbound=1260771.365819, norm of subgrad 1123.419497	dualbound = 3356423.365819, lowerbound=1260771.365819, norm of subgrad 37.322557	 stepsize= 1.000000 
-dualbound = 3356510.525830, lowerbound=1259168.525830, norm of subgrad 1122.704559	dualbound = 3356510.525830, lowerbound=1259168.525830, norm of subgrad 37.204301	 stepsize= 1.000000 
-dualbound = 3356599.565765, lowerbound=1258981.565765, norm of subgrad 1122.627082	dualbound = 3356599.565765, lowerbound=1258981.565765, norm of subgrad 37.403742	 stepsize= 1.000000 
-dualbound = 3356677.897079, lowerbound=1260273.897079, norm of subgrad 1123.206525	dualbound = 3356677.897079, lowerbound=1260273.897079, norm of subgrad 37.380895	 stepsize= 1.000000 
-dualbound = 3356773.918166, lowerbound=1262274.918166, norm of subgrad 1124.069356	dualbound = 3356773.918166, lowerbound=1262274.918166, norm of subgrad 36.783435	 stepsize= 1.000000 
-dualbound = 3356888.895718, lowerbound=1264478.895718, norm of subgrad 1125.042620	dualbound = 3356888.895718, lowerbound=1264478.895718, norm of subgrad 36.837176	 stepsize= 1.000000 
-dualbound = 3356952.053825, lowerbound=1254648.053825, norm of subgrad 1120.665005	dualbound = 3356952.053825, lowerbound=1254648.053825, norm of subgrad 36.126972	 stepsize= 1.000000 
-dualbound = 3357056.489332, lowerbound=1261317.489332, norm of subgrad 1123.673658	dualbound = 3357056.489332, lowerbound=1261317.489332, norm of subgrad 37.807876	 stepsize= 1.000000 
-dualbound = 3357131.163676, lowerbound=1258456.163676, norm of subgrad 1122.367214	dualbound = 3357131.163676, lowerbound=1258456.163676, norm of subgrad 36.423541	 stepsize= 1.000000 
-dualbound = 3357231.842527, lowerbound=1266462.842527, norm of subgrad 1125.919554	dualbound = 3357231.842527, lowerbound=1266462.842527, norm of subgrad 36.505874	 stepsize= 1.000000 
-dualbound = 3357299.610104, lowerbound=1259270.610104, norm of subgrad 1122.744677	dualbound = 3357299.610104, lowerbound=1259270.610104, norm of subgrad 36.779989	 stepsize= 1.000000 
-dualbound = 3357379.078029, lowerbound=1258538.078029, norm of subgrad 1122.416179	dualbound = 3357379.078029, lowerbound=1258538.078029, norm of subgrad 36.870963	 stepsize= 1.000000 
-dualbound = 3357471.217021, lowerbound=1257525.217021, norm of subgrad 1121.985836	dualbound = 3357471.217021, lowerbound=1257525.217021, norm of subgrad 37.671461	 stepsize= 1.000000 
-dualbound = 3357576.205466, lowerbound=1258529.205466, norm of subgrad 1122.412226	dualbound = 3357576.205466, lowerbound=1258529.205466, norm of subgrad 37.215433	 stepsize= 1.000000 
-dualbound = 3357662.023984, lowerbound=1266742.023984, norm of subgrad 1126.052851	dualbound = 3357662.023984, lowerbound=1266742.023984, norm of subgrad 36.589869	 stepsize= 1.000000 
-dualbound = 3357764.676583, lowerbound=1260521.676583, norm of subgrad 1123.297679	dualbound = 3357764.676583, lowerbound=1260521.676583, norm of subgrad 37.130211	 stepsize= 1.000000 
-dualbound = 3357828.318374, lowerbound=1261145.318374, norm of subgrad 1123.537858	dualbound = 3357828.318374, lowerbound=1261145.318374, norm of subgrad 35.435036	 stepsize= 1.000000 
-dualbound = 3357947.022184, lowerbound=1260241.022184, norm of subgrad 1123.156722	dualbound = 3357947.022184, lowerbound=1260241.022184, norm of subgrad 36.860600	 stepsize= 1.000000 
-dualbound = 3358002.147068, lowerbound=1260266.147068, norm of subgrad 1123.199513	dualbound = 3358002.147068, lowerbound=1260266.147068, norm of subgrad 36.961127	 stepsize= 1.000000 
-dualbound = 3358109.182329, lowerbound=1261267.182329, norm of subgrad 1123.632583	dualbound = 3358109.182329, lowerbound=1261267.182329, norm of subgrad 37.283177	 stepsize= 1.000000 
-dualbound = 3358187.500884, lowerbound=1258466.500884, norm of subgrad 1122.364692	dualbound = 3358187.500884, lowerbound=1258466.500884, norm of subgrad 36.253532	 stepsize= 1.000000 
-dualbound = 3358308.325993, lowerbound=1263016.325993, norm of subgrad 1124.397761	dualbound = 3358308.325993, lowerbound=1263016.325993, norm of subgrad 37.078634	 stepsize= 1.000000 
-dualbound = 3358378.326965, lowerbound=1265572.326965, norm of subgrad 1125.559562	dualbound = 3358378.326965, lowerbound=1265572.326965, norm of subgrad 37.175274	 stepsize= 1.000000 
-dualbound = 3358428.609780, lowerbound=1259426.609780, norm of subgrad 1122.827061	dualbound = 3358428.609780, lowerbound=1259426.609780, norm of subgrad 36.936199	 stepsize= 1.000000 
-dualbound = 3358542.488410, lowerbound=1258541.488410, norm of subgrad 1122.432398	dualbound = 3358542.488410, lowerbound=1258541.488410, norm of subgrad 37.774047	 stepsize= 1.000000 
-dualbound = 3358627.331988, lowerbound=1260275.331988, norm of subgrad 1123.196035	dualbound = 3358627.331988, lowerbound=1260275.331988, norm of subgrad 37.132783	 stepsize= 1.000000 
-dualbound = 3358722.502649, lowerbound=1263320.502649, norm of subgrad 1124.545910	dualbound = 3358722.502649, lowerbound=1263320.502649, norm of subgrad 37.123721	 stepsize= 1.000000 
-dualbound = 3358793.555940, lowerbound=1260023.555940, norm of subgrad 1123.102202	dualbound = 3358793.555940, lowerbound=1260023.555940, norm of subgrad 37.497377	 stepsize= 1.000000 
-dualbound = 3358910.209889, lowerbound=1262829.209889, norm of subgrad 1124.334118	dualbound = 3358910.209889, lowerbound=1262829.209889, norm of subgrad 37.611886	 stepsize= 1.000000 
-dualbound = 3358971.198739, lowerbound=1258800.198739, norm of subgrad 1122.561445	dualbound = 3358971.198739, lowerbound=1258800.198739, norm of subgrad 37.483181	 stepsize= 1.000000 
-dualbound = 3359074.852203, lowerbound=1255321.852203, norm of subgrad 1120.961575	dualbound = 3359074.852203, lowerbound=1255321.852203, norm of subgrad 36.560272	 stepsize= 1.000000 
-dualbound = 3359169.853332, lowerbound=1262195.853332, norm of subgrad 1124.014170	dualbound = 3359169.853332, lowerbound=1262195.853332, norm of subgrad 36.152471	 stepsize= 1.000000 
-dualbound = 3359293.492300, lowerbound=1258067.492300, norm of subgrad 1122.160636	dualbound = 3359293.492300, lowerbound=1258067.492300, norm of subgrad 36.064373	 stepsize= 1.000000 
-dualbound = 3359364.410556, lowerbound=1259130.410556, norm of subgrad 1122.678231	dualbound = 3359364.410556, lowerbound=1259130.410556, norm of subgrad 36.700385	 stepsize= 1.000000 
-dualbound = 3359439.780467, lowerbound=1261044.780467, norm of subgrad 1123.531388	dualbound = 3359439.780467, lowerbound=1261044.780467, norm of subgrad 36.788176	 stepsize= 1.000000 
-dualbound = 3359540.313883, lowerbound=1260946.313883, norm of subgrad 1123.455079	dualbound = 3359540.313883, lowerbound=1260946.313883, norm of subgrad 36.132166	 stepsize= 1.000000 
-dualbound = 3359636.731005, lowerbound=1256228.731005, norm of subgrad 1121.367349	dualbound = 3359636.731005, lowerbound=1256228.731005, norm of subgrad 36.502289	 stepsize= 1.000000 
-dualbound = 3359727.716455, lowerbound=1267176.716455, norm of subgrad 1126.249402	dualbound = 3359727.716455, lowerbound=1267176.716455, norm of subgrad 36.769355	 stepsize= 1.000000 
-dualbound = 3359780.777251, lowerbound=1255662.777251, norm of subgrad 1121.143959	dualbound = 3359780.777251, lowerbound=1255662.777251, norm of subgrad 36.797565	 stepsize= 1.000000 
-dualbound = 3359873.583469, lowerbound=1262243.583469, norm of subgrad 1124.076769	dualbound = 3359873.583469, lowerbound=1262243.583469, norm of subgrad 37.387247	 stepsize= 1.000000 
-dualbound = 3359957.218298, lowerbound=1262533.218298, norm of subgrad 1124.210042	dualbound = 3359957.218298, lowerbound=1262533.218298, norm of subgrad 37.398327	 stepsize= 1.000000 
-dualbound = 3360036.466463, lowerbound=1262862.466463, norm of subgrad 1124.351576	dualbound = 3360036.466463, lowerbound=1262862.466463, norm of subgrad 37.192044	 stepsize= 1.000000 
-dualbound = 3360152.241119, lowerbound=1259355.241119, norm of subgrad 1122.777022	dualbound = 3360152.241119, lowerbound=1259355.241119, norm of subgrad 37.266267	 stepsize= 1.000000 
-dualbound = 3360194.860377, lowerbound=1260425.860377, norm of subgrad 1123.274615	dualbound = 3360194.860377, lowerbound=1260425.860377, norm of subgrad 36.913673	 stepsize= 1.000000 
-dualbound = 3360315.134382, lowerbound=1259606.134382, norm of subgrad 1122.895870	dualbound = 3360315.134382, lowerbound=1259606.134382, norm of subgrad 37.540298	 stepsize= 1.000000 
-dualbound = 3360412.152166, lowerbound=1264961.152166, norm of subgrad 1125.269813	dualbound = 3360412.152166, lowerbound=1264961.152166, norm of subgrad 36.986724	 stepsize= 1.000000 
-dualbound = 3360507.305895, lowerbound=1256262.305895, norm of subgrad 1121.424231	dualbound = 3360507.305895, lowerbound=1256262.305895, norm of subgrad 37.751208	 stepsize= 1.000000 
-dualbound = 3360563.290503, lowerbound=1261051.290503, norm of subgrad 1123.550751	dualbound = 3360563.290503, lowerbound=1261051.290503, norm of subgrad 37.026809	 stepsize= 1.000000 
-dualbound = 3360666.874522, lowerbound=1260973.874522, norm of subgrad 1123.508734	dualbound = 3360666.874522, lowerbound=1260973.874522, norm of subgrad 37.437735	 stepsize= 1.000000 
-dualbound = 3360749.283692, lowerbound=1263784.283692, norm of subgrad 1124.780994	dualbound = 3360749.283692, lowerbound=1263784.283692, norm of subgrad 37.820751	 stepsize= 1.000000 
-dualbound = 3360851.896187, lowerbound=1258056.896187, norm of subgrad 1122.221857	dualbound = 3360851.896187, lowerbound=1258056.896187, norm of subgrad 37.783760	 stepsize= 1.000000 
-dualbound = 3360936.303447, lowerbound=1264017.303447, norm of subgrad 1124.843235	dualbound = 3360936.303447, lowerbound=1264017.303447, norm of subgrad 36.597913	 stepsize= 1.000000 
-dualbound = 3361048.694750, lowerbound=1262139.694750, norm of subgrad 1124.026109	dualbound = 3361048.694750, lowerbound=1262139.694750, norm of subgrad 37.515214	 stepsize= 1.000000 
-dualbound = 3361102.707939, lowerbound=1263329.707939, norm of subgrad 1124.549113	dualbound = 3361102.707939, lowerbound=1263329.707939, norm of subgrad 36.537832	 stepsize= 1.000000 
-dualbound = 3361216.981275, lowerbound=1258031.981275, norm of subgrad 1122.199172	dualbound = 3361216.981275, lowerbound=1258031.981275, norm of subgrad 37.593528	 stepsize= 1.000000 
-dualbound = 3361294.966524, lowerbound=1261337.966524, norm of subgrad 1123.676985	dualbound = 3361294.966524, lowerbound=1261337.966524, norm of subgrad 37.282506	 stepsize= 1.000000 
-dualbound = 3361364.484373, lowerbound=1259368.484373, norm of subgrad 1122.769114	dualbound = 3361364.484373, lowerbound=1259368.484373, norm of subgrad 36.214884	 stepsize= 1.000000 
-dualbound = 3361496.328575, lowerbound=1265997.328575, norm of subgrad 1125.694154	dualbound = 3361496.328575, lowerbound=1265997.328575, norm of subgrad 36.357175	 stepsize= 1.000000 
-dualbound = 3361562.324965, lowerbound=1259976.324965, norm of subgrad 1123.072271	dualbound = 3361562.324965, lowerbound=1259976.324965, norm of subgrad 37.161760	 stepsize= 1.000000 
-dualbound = 3361628.155044, lowerbound=1262305.155044, norm of subgrad 1124.117945	dualbound = 3361628.155044, lowerbound=1262305.155044, norm of subgrad 37.441021	 stepsize= 1.000000 
-dualbound = 3361740.290621, lowerbound=1259218.290621, norm of subgrad 1122.713361	dualbound = 3361740.290621, lowerbound=1259218.290621, norm of subgrad 37.136715	 stepsize= 1.000000 
-dualbound = 3361805.055409, lowerbound=1260291.055409, norm of subgrad 1123.170092	dualbound = 3361805.055409, lowerbound=1260291.055409, norm of subgrad 35.843616	 stepsize= 1.000000 
-dualbound = 3361943.532888, lowerbound=1256170.532888, norm of subgrad 1121.332035	dualbound = 3361943.532888, lowerbound=1256170.532888, norm of subgrad 36.789638	 stepsize= 1.000000 
-dualbound = 3362002.647914, lowerbound=1264385.647914, norm of subgrad 1124.997177	dualbound = 3362002.647914, lowerbound=1264385.647914, norm of subgrad 35.946002	 stepsize= 1.000000 
-dualbound = 3362105.028642, lowerbound=1264187.028642, norm of subgrad 1124.938233	dualbound = 3362105.028642, lowerbound=1264187.028642, norm of subgrad 37.435020	 stepsize= 1.000000 
-dualbound = 3362135.032034, lowerbound=1259249.032034, norm of subgrad 1122.763569	dualbound = 3362135.032034, lowerbound=1259249.032034, norm of subgrad 37.134935	 stepsize= 1.000000 
-dualbound = 3362239.723712, lowerbound=1260295.723712, norm of subgrad 1123.213125	dualbound = 3362239.723712, lowerbound=1260295.723712, norm of subgrad 37.638965	 stepsize= 1.000000 
-dualbound = 3362332.547623, lowerbound=1260885.547623, norm of subgrad 1123.435155	dualbound = 3362332.547623, lowerbound=1260885.547623, norm of subgrad 36.246709	 stepsize= 1.000000 
-dualbound = 3362449.415848, lowerbound=1258159.415848, norm of subgrad 1122.218524	dualbound = 3362449.415848, lowerbound=1258159.415848, norm of subgrad 36.494770	 stepsize= 1.000000 
-dualbound = 3362527.637739, lowerbound=1264287.637739, norm of subgrad 1124.977617	dualbound = 3362527.637739, lowerbound=1264287.637739, norm of subgrad 36.948909	 stepsize= 1.000000 
-dualbound = 3362599.079297, lowerbound=1263013.079297, norm of subgrad 1124.416328	dualbound = 3362599.079297, lowerbound=1263013.079297, norm of subgrad 37.019475	 stepsize= 1.000000 
-dualbound = 3362692.979211, lowerbound=1260146.979211, norm of subgrad 1123.129102	dualbound = 3362692.979211, lowerbound=1260146.979211, norm of subgrad 36.958083	 stepsize= 1.000000 
-dualbound = 3362776.367251, lowerbound=1261074.367251, norm of subgrad 1123.551675	dualbound = 3362776.367251, lowerbound=1261074.367251, norm of subgrad 37.113179	 stepsize= 1.000000 
-dualbound = 3362861.883078, lowerbound=1264221.883078, norm of subgrad 1125.000392	dualbound = 3362861.883078, lowerbound=1264221.883078, norm of subgrad 38.594246	 stepsize= 1.000000 
-dualbound = 3362917.722983, lowerbound=1259750.722983, norm of subgrad 1122.975834	dualbound = 3362917.722983, lowerbound=1259750.722983, norm of subgrad 37.146196	 stepsize= 1.000000 
-dualbound = 3363049.980461, lowerbound=1263409.980461, norm of subgrad 1124.563018	dualbound = 3363049.980461, lowerbound=1263409.980461, norm of subgrad 36.935856	 stepsize= 1.000000 
-dualbound = 3363134.459585, lowerbound=1262408.459585, norm of subgrad 1124.121639	dualbound = 3363134.459585, lowerbound=1262408.459585, norm of subgrad 36.407130	 stepsize= 1.000000 
-dualbound = 3363255.310716, lowerbound=1262121.310716, norm of subgrad 1123.976117	dualbound = 3363255.310716, lowerbound=1262121.310716, norm of subgrad 36.357271	 stepsize= 1.000000 
-dualbound = 3363335.053164, lowerbound=1257912.053164, norm of subgrad 1122.126131	dualbound = 3363335.053164, lowerbound=1257912.053164, norm of subgrad 36.534127	 stepsize= 1.000000 
-dualbound = 3363412.522792, lowerbound=1261319.522792, norm of subgrad 1123.651869	dualbound = 3363412.522792, lowerbound=1261319.522792, norm of subgrad 36.762340	 stepsize= 1.000000 
-dualbound = 3363503.630913, lowerbound=1257917.630913, norm of subgrad 1122.125943	dualbound = 3363503.630913, lowerbound=1257917.630913, norm of subgrad 36.607487	 stepsize= 1.000000 
-dualbound = 3363587.477342, lowerbound=1260894.477342, norm of subgrad 1123.448921	dualbound = 3363587.477342, lowerbound=1260894.477342, norm of subgrad 36.425903	 stepsize= 1.000000 
-dualbound = 3363678.794951, lowerbound=1259134.794951, norm of subgrad 1122.681965	dualbound = 3363678.794951, lowerbound=1259134.794951, norm of subgrad 37.031306	 stepsize= 1.000000 
-dualbound = 3363755.423284, lowerbound=1258899.423284, norm of subgrad 1122.605640	dualbound = 3363755.423284, lowerbound=1258899.423284, norm of subgrad 37.691224	 stepsize= 1.000000 
-dualbound = 3363812.821727, lowerbound=1262884.821727, norm of subgrad 1124.397537	dualbound = 3363812.821727, lowerbound=1262884.821727, norm of subgrad 37.978921	 stepsize= 1.000000 
-dualbound = 3363922.975807, lowerbound=1259994.975807, norm of subgrad 1123.066327	dualbound = 3363922.975807, lowerbound=1259994.975807, norm of subgrad 37.324979	 stepsize= 1.000000 
-dualbound = 3364033.374257, lowerbound=1259494.374257, norm of subgrad 1122.843878	dualbound = 3364033.374257, lowerbound=1259494.374257, norm of subgrad 37.341645	 stepsize= 1.000000 
-dualbound = 3364086.047725, lowerbound=1263079.047725, norm of subgrad 1124.456779	dualbound = 3364086.047725, lowerbound=1263079.047725, norm of subgrad 37.103551	 stepsize= 1.000000 
-dualbound = 3364200.105461, lowerbound=1260550.105461, norm of subgrad 1123.310334	dualbound = 3364200.105461, lowerbound=1260550.105461, norm of subgrad 37.283478	 stepsize= 1.000000 
-dualbound = 3364292.567923, lowerbound=1258289.567923, norm of subgrad 1122.311707	dualbound = 3364292.567923, lowerbound=1258289.567923, norm of subgrad 37.235231	 stepsize= 1.000000 
-dualbound = 3364346.784704, lowerbound=1262550.784704, norm of subgrad 1124.245429	dualbound = 3364346.784704, lowerbound=1262550.784704, norm of subgrad 37.831426	 stepsize= 1.000000 
-dualbound = 3364441.416556, lowerbound=1257572.416556, norm of subgrad 1121.997512	dualbound = 3364441.416556, lowerbound=1257572.416556, norm of subgrad 37.425016	 stepsize= 1.000000 
-dualbound = 3364531.668757, lowerbound=1262235.668757, norm of subgrad 1124.066577	dualbound = 3364531.668757, lowerbound=1262235.668757, norm of subgrad 37.151746	 stepsize= 1.000000 
-dualbound = 3364619.260880, lowerbound=1266621.260880, norm of subgrad 1126.031199	dualbound = 3364619.260880, lowerbound=1266621.260880, norm of subgrad 37.584467	 stepsize= 1.000000 
-dualbound = 3364715.496538, lowerbound=1256824.496538, norm of subgrad 1121.659706	dualbound = 3364715.496538, lowerbound=1256824.496538, norm of subgrad 37.312674	 stepsize= 1.000000 
-dualbound = 3364785.799353, lowerbound=1263379.799353, norm of subgrad 1124.562937	dualbound = 3364785.799353, lowerbound=1263379.799353, norm of subgrad 36.500723	 stepsize= 1.000000 
-dualbound = 3364904.369047, lowerbound=1262819.369047, norm of subgrad 1124.322627	dualbound = 3364904.369047, lowerbound=1262819.369047, norm of subgrad 37.424186	 stepsize= 1.000000 
-dualbound = 3364971.769218, lowerbound=1262843.769218, norm of subgrad 1124.333922	dualbound = 3364971.769218, lowerbound=1262843.769218, norm of subgrad 36.747791	 stepsize= 1.000000 
-dualbound = 3365097.291405, lowerbound=1260644.291405, norm of subgrad 1123.352701	dualbound = 3365097.291405, lowerbound=1260644.291405, norm of subgrad 37.450263	 stepsize= 1.000000 
-dualbound = 3365142.206598, lowerbound=1258560.206598, norm of subgrad 1122.451873	dualbound = 3365142.206598, lowerbound=1258560.206598, norm of subgrad 37.187568	 stepsize= 1.000000 
-dualbound = 3365247.318315, lowerbound=1257861.318315, norm of subgrad 1122.114218	dualbound = 3365247.318315, lowerbound=1257861.318315, norm of subgrad 37.203652	 stepsize= 1.000000 
-dualbound = 3365333.494948, lowerbound=1261647.494948, norm of subgrad 1123.778668	dualbound = 3365333.494948, lowerbound=1261647.494948, norm of subgrad 36.292928	 stepsize= 1.000000 
-dualbound = 3365420.732557, lowerbound=1260039.732557, norm of subgrad 1123.075123	dualbound = 3365420.732557, lowerbound=1260039.732557, norm of subgrad 36.677481	 stepsize= 1.000000 
-dualbound = 3365521.461123, lowerbound=1265176.461123, norm of subgrad 1125.351261	dualbound = 3365521.461123, lowerbound=1265176.461123, norm of subgrad 36.602303	 stepsize= 1.000000 
-dualbound = 3365602.952752, lowerbound=1258343.952752, norm of subgrad 1122.304305	dualbound = 3365602.952752, lowerbound=1258343.952752, norm of subgrad 36.117747	 stepsize= 1.000000 
-dualbound = 3365691.763086, lowerbound=1267089.763086, norm of subgrad 1126.205915	dualbound = 3365691.763086, lowerbound=1267089.763086, norm of subgrad 36.589757	 stepsize= 1.000000 
-dualbound = 3365771.978719, lowerbound=1258226.978719, norm of subgrad 1122.296297	dualbound = 3365771.978719, lowerbound=1258226.978719, norm of subgrad 37.446170	 stepsize= 1.000000 
-dualbound = 3365856.871999, lowerbound=1264644.871999, norm of subgrad 1125.120381	dualbound = 3365856.871999, lowerbound=1264644.871999, norm of subgrad 36.549874	 stepsize= 1.000000 
-dualbound = 3365938.093010, lowerbound=1255684.093010, norm of subgrad 1121.154357	dualbound = 3365938.093010, lowerbound=1255684.093010, norm of subgrad 37.205121	 stepsize= 1.000000 
-dualbound = 3366048.225260, lowerbound=1263729.225260, norm of subgrad 1124.689391	dualbound = 3366048.225260, lowerbound=1263729.225260, norm of subgrad 36.154284	 stepsize= 1.000000 
-dualbound = 3366155.492474, lowerbound=1263302.492474, norm of subgrad 1124.489436	dualbound = 3366155.492474, lowerbound=1263302.492474, norm of subgrad 35.794793	 stepsize= 1.000000 
-dualbound = 3366240.456742, lowerbound=1263885.456742, norm of subgrad 1124.772624	dualbound = 3366240.456742, lowerbound=1263885.456742, norm of subgrad 36.234849	 stepsize= 1.000000 
-dualbound = 3366303.178624, lowerbound=1262925.178624, norm of subgrad 1124.377685	dualbound = 3366303.178624, lowerbound=1262925.178624, norm of subgrad 36.915063	 stepsize= 1.000000 
-dualbound = 3366386.918818, lowerbound=1258799.918818, norm of subgrad 1122.515888	dualbound = 3366386.918818, lowerbound=1258799.918818, norm of subgrad 36.410715	 stepsize= 1.000000 
-dualbound = 3366489.294987, lowerbound=1255384.294987, norm of subgrad 1120.975600	dualbound = 3366489.294987, lowerbound=1255384.294987, norm of subgrad 36.116148	 stepsize= 1.000000 
-dualbound = 3366579.029158, lowerbound=1261922.029158, norm of subgrad 1123.897695	dualbound = 3366579.029158, lowerbound=1261922.029158, norm of subgrad 36.245471	 stepsize= 1.000000 
-dualbound = 3366665.631229, lowerbound=1263013.631229, norm of subgrad 1124.399676	dualbound = 3366665.631229, lowerbound=1263013.631229, norm of subgrad 36.709700	 stepsize= 1.000000 
-dualbound = 3366721.337531, lowerbound=1266046.337531, norm of subgrad 1125.761226	dualbound = 3366721.337531, lowerbound=1266046.337531, norm of subgrad 36.711120	 stepsize= 1.000000 
-dualbound = 3366829.827786, lowerbound=1265376.827786, norm of subgrad 1125.446502	dualbound = 3366829.827786, lowerbound=1265376.827786, norm of subgrad 36.898377	 stepsize= 1.000000 
-dualbound = 3366909.941147, lowerbound=1264546.941147, norm of subgrad 1125.091970	dualbound = 3366909.941147, lowerbound=1264546.941147, norm of subgrad 36.947441	 stepsize= 1.000000 
-dualbound = 3366982.745285, lowerbound=1258073.745285, norm of subgrad 1122.229809	dualbound = 3366982.745285, lowerbound=1258073.745285, norm of subgrad 37.400590	 stepsize= 1.000000 
-dualbound = 3367066.247787, lowerbound=1263859.247787, norm of subgrad 1124.795647	dualbound = 3367066.247787, lowerbound=1263859.247787, norm of subgrad 37.276031	 stepsize= 1.000000 
-dualbound = 3367160.626913, lowerbound=1258665.626913, norm of subgrad 1122.496159	dualbound = 3367160.626913, lowerbound=1258665.626913, norm of subgrad 37.767435	 stepsize= 1.000000 
-dualbound = 3367251.099765, lowerbound=1261836.099765, norm of subgrad 1123.898171	dualbound = 3367251.099765, lowerbound=1261836.099765, norm of subgrad 37.436251	 stepsize= 1.000000 
-dualbound = 3367329.111709, lowerbound=1259481.111709, norm of subgrad 1122.832629	dualbound = 3367329.111709, lowerbound=1259481.111709, norm of subgrad 36.742509	 stepsize= 1.000000 
-dualbound = 3367448.983604, lowerbound=1258970.983604, norm of subgrad 1122.592082	dualbound = 3367448.983604, lowerbound=1258970.983604, norm of subgrad 36.903549	 stepsize= 1.000000 
-dualbound = 3367526.499406, lowerbound=1263099.499406, norm of subgrad 1124.440972	dualbound = 3367526.499406, lowerbound=1263099.499406, norm of subgrad 36.681273	 stepsize= 1.000000 
-dualbound = 3367631.713693, lowerbound=1263766.713693, norm of subgrad 1124.728284	dualbound = 3367631.713693, lowerbound=1263766.713693, norm of subgrad 36.772466	 stepsize= 1.000000 
-dualbound = 3367699.318917, lowerbound=1262848.318917, norm of subgrad 1124.350621	dualbound = 3367699.318917, lowerbound=1262848.318917, norm of subgrad 37.196844	 stepsize= 1.000000 
-dualbound = 3367769.080882, lowerbound=1263738.080882, norm of subgrad 1124.704886	dualbound = 3367769.080882, lowerbound=1263738.080882, norm of subgrad 35.954999	 stepsize= 1.000000 
-dualbound = 3367877.520744, lowerbound=1263408.520744, norm of subgrad 1124.592602	dualbound = 3367877.520744, lowerbound=1263408.520744, norm of subgrad 37.529187	 stepsize= 1.000000 
-dualbound = 3367942.901081, lowerbound=1260912.901081, norm of subgrad 1123.477148	dualbound = 3367942.901081, lowerbound=1260912.901081, norm of subgrad 36.788318	 stepsize= 1.000000 
-dualbound = 3368061.890552, lowerbound=1263694.890552, norm of subgrad 1124.698133	dualbound = 3368061.890552, lowerbound=1263694.890552, norm of subgrad 37.013369	 stepsize= 1.000000 
-dualbound = 3368140.699287, lowerbound=1261312.699287, norm of subgrad 1123.650613	dualbound = 3368140.699287, lowerbound=1261312.699287, norm of subgrad 36.834885	 stepsize= 1.000000 
-dualbound = 3368223.717378, lowerbound=1263573.717378, norm of subgrad 1124.647819	dualbound = 3368223.717378, lowerbound=1263573.717378, norm of subgrad 36.633565	 stepsize= 1.000000 
-dualbound = 3368284.215412, lowerbound=1262363.215412, norm of subgrad 1124.176239	dualbound = 3368284.215412, lowerbound=1262363.215412, norm of subgrad 38.334032	 stepsize= 1.000000 
-dualbound = 3368364.483357, lowerbound=1264349.483357, norm of subgrad 1125.018437	dualbound = 3368364.483357, lowerbound=1264349.483357, norm of subgrad 37.380047	 stepsize= 1.000000 
-dualbound = 3368455.876321, lowerbound=1258258.876321, norm of subgrad 1122.289123	dualbound = 3368455.876321, lowerbound=1258258.876321, norm of subgrad 36.951224	 stepsize= 1.000000 
-dualbound = 3368563.127413, lowerbound=1259488.127413, norm of subgrad 1122.851338	dualbound = 3368563.127413, lowerbound=1259488.127413, norm of subgrad 37.606530	 stepsize= 1.000000 
-dualbound = 3368637.092107, lowerbound=1260324.092107, norm of subgrad 1123.212398	dualbound = 3368637.092107, lowerbound=1260324.092107, norm of subgrad 36.823426	 stepsize= 1.000000 
-dualbound = 3368755.870476, lowerbound=1259790.870476, norm of subgrad 1122.959425	dualbound = 3368755.870476, lowerbound=1259790.870476, norm of subgrad 36.956439	 stepsize= 1.000000 
-dualbound = 3368859.453756, lowerbound=1257906.453756, norm of subgrad 1122.122745	dualbound = 3368859.453756, lowerbound=1257906.453756, norm of subgrad 36.831824	 stepsize= 1.000000 
-dualbound = 3368942.754739, lowerbound=1265524.754739, norm of subgrad 1125.510442	dualbound = 3368942.754739, lowerbound=1265524.754739, norm of subgrad 36.500698	 stepsize= 1.000000 
-dualbound = 3369014.000869, lowerbound=1262779.000869, norm of subgrad 1124.292222	dualbound = 3369014.000869, lowerbound=1262779.000869, norm of subgrad 36.403930	 stepsize= 1.000000 
-dualbound = 3369103.762982, lowerbound=1260051.762982, norm of subgrad 1123.080479	dualbound = 3369103.762982, lowerbound=1260051.762982, norm of subgrad 36.711880	 stepsize= 1.000000 
-dualbound = 3369183.542707, lowerbound=1259915.542707, norm of subgrad 1123.012708	dualbound = 3369183.542707, lowerbound=1259915.542707, norm of subgrad 36.356289	 stepsize= 1.000000 
-dualbound = 3369283.678389, lowerbound=1262001.678389, norm of subgrad 1123.957596	dualbound = 3369283.678389, lowerbound=1262001.678389, norm of subgrad 37.136716	 stepsize= 1.000000 
-dualbound = 3369338.645995, lowerbound=1262664.645995, norm of subgrad 1124.296067	dualbound = 3369338.645995, lowerbound=1262664.645995, norm of subgrad 37.841348	 stepsize= 1.000000 
-dualbound = 3369450.218278, lowerbound=1263036.218278, norm of subgrad 1124.403050	dualbound = 3369450.218278, lowerbound=1263036.218278, norm of subgrad 36.845248	 stepsize= 1.000000 
-dualbound = 3369528.737775, lowerbound=1264716.737775, norm of subgrad 1125.171426	dualbound = 3369528.737775, lowerbound=1264716.737775, norm of subgrad 37.047530	 stepsize= 1.000000 
-dualbound = 3369641.277477, lowerbound=1261692.277477, norm of subgrad 1123.794144	dualbound = 3369641.277477, lowerbound=1261692.277477, norm of subgrad 36.517663	 stepsize= 1.000000 
-dualbound = 3369689.401733, lowerbound=1259235.401733, norm of subgrad 1122.757499	dualbound = 3369689.401733, lowerbound=1259235.401733, norm of subgrad 37.378125	 stepsize= 1.000000 
-dualbound = 3369783.318360, lowerbound=1260323.318360, norm of subgrad 1123.230750	dualbound = 3369783.318360, lowerbound=1260323.318360, norm of subgrad 37.655234	 stepsize= 1.000000 
-dualbound = 3369863.590149, lowerbound=1263220.590149, norm of subgrad 1124.482365	dualbound = 3369863.590149, lowerbound=1263220.590149, norm of subgrad 36.335544	 stepsize= 1.000000 
-dualbound = 3370005.365145, lowerbound=1261774.365145, norm of subgrad 1123.842678	dualbound = 3370005.365145, lowerbound=1261774.365145, norm of subgrad 37.279686	 stepsize= 1.000000 
-dualbound = 3370058.847824, lowerbound=1264958.847824, norm of subgrad 1125.299892	dualbound = 3370058.847824, lowerbound=1264958.847824, norm of subgrad 37.342773	 stepsize= 1.000000 
-dualbound = 3370122.434114, lowerbound=1264112.434114, norm of subgrad 1124.920635	dualbound = 3370122.434114, lowerbound=1264112.434114, norm of subgrad 37.384305	 stepsize= 1.000000 
-dualbound = 3370219.416363, lowerbound=1257796.416363, norm of subgrad 1122.088417	dualbound = 3370219.416363, lowerbound=1257796.416363, norm of subgrad 37.188469	 stepsize= 1.000000 
-dualbound = 3370304.524777, lowerbound=1258431.524777, norm of subgrad 1122.333518	dualbound = 3370304.524777, lowerbound=1258431.524777, norm of subgrad 35.862354	 stepsize= 1.000000 
-dualbound = 3370419.091839, lowerbound=1263261.091839, norm of subgrad 1124.487924	dualbound = 3370419.091839, lowerbound=1263261.091839, norm of subgrad 36.422068	 stepsize= 1.000000 
-dualbound = 3370511.147009, lowerbound=1261405.147009, norm of subgrad 1123.669056	dualbound = 3370511.147009, lowerbound=1261405.147009, norm of subgrad 36.318799	 stepsize= 1.000000 
-dualbound = 3370574.855891, lowerbound=1262446.855891, norm of subgrad 1124.140941	dualbound = 3370574.855891, lowerbound=1262446.855891, norm of subgrad 36.189900	 stepsize= 1.000000 
-dualbound = 3370678.377289, lowerbound=1262090.377289, norm of subgrad 1123.993940	dualbound = 3370678.377289, lowerbound=1262090.377289, norm of subgrad 37.088022	 stepsize= 1.000000 
-dualbound = 3370762.022150, lowerbound=1261715.022150, norm of subgrad 1123.853648	dualbound = 3370762.022150, lowerbound=1261715.022150, norm of subgrad 37.625056	 stepsize= 1.000000 
-dualbound = 3370833.029050, lowerbound=1264228.029050, norm of subgrad 1124.955568	dualbound = 3370833.029050, lowerbound=1264228.029050, norm of subgrad 36.986577	 stepsize= 1.000000 
-dualbound = 3370935.427384, lowerbound=1269241.427384, norm of subgrad 1127.181630	dualbound = 3370935.427384, lowerbound=1269241.427384, norm of subgrad 37.408533	 stepsize= 1.000000 
-dualbound = 3371016.745293, lowerbound=1260527.745293, norm of subgrad 1123.299936	dualbound = 3371016.745293, lowerbound=1260527.745293, norm of subgrad 36.828222	 stepsize= 1.000000 
-dualbound = 3371101.996290, lowerbound=1260903.996290, norm of subgrad 1123.486981	dualbound = 3371101.996290, lowerbound=1260903.996290, norm of subgrad 37.473337	 stepsize= 1.000000 
-dualbound = 3371170.033891, lowerbound=1260150.033891, norm of subgrad 1123.132242	dualbound = 3371170.033891, lowerbound=1260150.033891, norm of subgrad 36.661118	 stepsize= 1.000000 
-dualbound = 3371255.456326, lowerbound=1262599.456326, norm of subgrad 1124.225714	dualbound = 3371255.456326, lowerbound=1262599.456326, norm of subgrad 37.005708	 stepsize= 1.000000 
-dualbound = 3371360.600583, lowerbound=1259437.600583, norm of subgrad 1122.816815	dualbound = 3371360.600583, lowerbound=1259437.600583, norm of subgrad 37.217526	 stepsize= 1.000000 
-dualbound = 3371437.017637, lowerbound=1264305.017637, norm of subgrad 1124.992008	dualbound = 3371437.017637, lowerbound=1264305.017637, norm of subgrad 37.127039	 stepsize= 1.000000 
-dualbound = 3371543.471934, lowerbound=1258598.471934, norm of subgrad 1122.453327	dualbound = 3371543.471934, lowerbound=1258598.471934, norm of subgrad 37.542700	 stepsize= 1.000000 
-dualbound = 3371636.726097, lowerbound=1263646.726097, norm of subgrad 1124.675832	dualbound = 3371636.726097, lowerbound=1263646.726097, norm of subgrad 36.636787	 stepsize= 1.000000 
-dualbound = 3371726.650295, lowerbound=1261584.650295, norm of subgrad 1123.754266	dualbound = 3371726.650295, lowerbound=1261584.650295, norm of subgrad 36.454413	 stepsize= 1.000000 
-dualbound = 3371820.596179, lowerbound=1267854.596179, norm of subgrad 1126.534330	dualbound = 3371820.596179, lowerbound=1267854.596179, norm of subgrad 36.317295	 stepsize= 1.000000 
-dualbound = 3371913.100600, lowerbound=1262741.100600, norm of subgrad 1124.285151	dualbound = 3371913.100600, lowerbound=1262741.100600, norm of subgrad 36.993302	 stepsize= 1.000000 
-dualbound = 3371962.374634, lowerbound=1264316.374634, norm of subgrad 1124.996166	dualbound = 3371962.374634, lowerbound=1264316.374634, norm of subgrad 36.732466	 stepsize= 1.000000 
-dualbound = 3372062.118130, lowerbound=1261939.118130, norm of subgrad 1123.946671	dualbound = 3372062.118130, lowerbound=1261939.118130, norm of subgrad 37.639653	 stepsize= 1.000000 
-dualbound = 3372130.874906, lowerbound=1260274.874906, norm of subgrad 1123.195831	dualbound = 3372130.874906, lowerbound=1260274.874906, norm of subgrad 36.915536	 stepsize= 1.000000 
-dualbound = 3372225.689708, lowerbound=1263374.689708, norm of subgrad 1124.595345	dualbound = 3372225.689708, lowerbound=1263374.689708, norm of subgrad 37.878949	 stepsize= 1.000000 
-dualbound = 3372318.549642, lowerbound=1260863.549642, norm of subgrad 1123.468980	dualbound = 3372318.549642, lowerbound=1260863.549642, norm of subgrad 37.574725	 stepsize= 1.000000 
-dualbound = 3372414.597880, lowerbound=1264038.597880, norm of subgrad 1124.869591	dualbound = 3372414.597880, lowerbound=1264038.597880, norm of subgrad 37.269937	 stepsize= 1.000000 
-dualbound = 3372489.920777, lowerbound=1265050.920777, norm of subgrad 1125.334582	dualbound = 3372489.920777, lowerbound=1265050.920777, norm of subgrad 37.447602	 stepsize= 1.000000 
-dualbound = 3372569.696240, lowerbound=1259467.696240, norm of subgrad 1122.869848	dualbound = 3372569.696240, lowerbound=1259467.696240, norm of subgrad 38.062783	 stepsize= 1.000000 
-dualbound = 3372656.348047, lowerbound=1263852.348047, norm of subgrad 1124.787690	dualbound = 3372656.348047, lowerbound=1263852.348047, norm of subgrad 37.170577	 stepsize= 1.000000 
-dualbound = 3372779.923761, lowerbound=1263370.923761, norm of subgrad 1124.544318	dualbound = 3372779.923761, lowerbound=1263370.923761, norm of subgrad 36.777380	 stepsize= 1.000000 
-dualbound = 3372862.838341, lowerbound=1262309.838341, norm of subgrad 1124.057311	dualbound = 3372862.838341, lowerbound=1262309.838341, norm of subgrad 35.747931	 stepsize= 1.000000 
-dualbound = 3372952.244599, lowerbound=1262656.244599, norm of subgrad 1124.253194	dualbound = 3372952.244599, lowerbound=1262656.244599, norm of subgrad 37.126894	 stepsize= 1.000000 
-dualbound = 3373023.898899, lowerbound=1261951.898899, norm of subgrad 1123.929223	dualbound = 3373023.898899, lowerbound=1261951.898899, norm of subgrad 36.560283	 stepsize= 1.000000 
-dualbound = 3373110.128859, lowerbound=1259847.128859, norm of subgrad 1123.010298	dualbound = 3373110.128859, lowerbound=1259847.128859, norm of subgrad 37.299195	 stepsize= 1.000000 
-dualbound = 3373194.653225, lowerbound=1265286.653225, norm of subgrad 1125.398886	dualbound = 3373194.653225, lowerbound=1265286.653225, norm of subgrad 36.339020	 stepsize= 1.000000 
-dualbound = 3373310.991410, lowerbound=1258332.991410, norm of subgrad 1122.319469	dualbound = 3373310.991410, lowerbound=1258332.991410, norm of subgrad 37.206695	 stepsize= 1.000000 
-dualbound = 3373361.094567, lowerbound=1270315.094567, norm of subgrad 1127.660895	dualbound = 3373361.094567, lowerbound=1270315.094567, norm of subgrad 36.798141	 stepsize= 1.000000 
-dualbound = 3373454.847957, lowerbound=1257978.847957, norm of subgrad 1122.181290	dualbound = 3373454.847957, lowerbound=1257978.847957, norm of subgrad 37.493378	 stepsize= 1.000000 
-dualbound = 3373537.159528, lowerbound=1265425.159528, norm of subgrad 1125.482634	dualbound = 3373537.159528, lowerbound=1265425.159528, norm of subgrad 36.990696	 stepsize= 1.000000 
-dualbound = 3373640.065763, lowerbound=1261416.065763, norm of subgrad 1123.708621	dualbound = 3373640.065763, lowerbound=1261416.065763, norm of subgrad 37.522077	 stepsize= 1.000000 
-dualbound = 3373697.499895, lowerbound=1266240.499895, norm of subgrad 1125.856785	dualbound = 3373697.499895, lowerbound=1266240.499895, norm of subgrad 37.019375	 stepsize= 1.000000 
-dualbound = 3373812.334425, lowerbound=1260337.334425, norm of subgrad 1123.218293	dualbound = 3373812.334425, lowerbound=1260337.334425, norm of subgrad 37.374250	 stepsize= 1.000000 
-dualbound = 3373903.525026, lowerbound=1266222.525026, norm of subgrad 1125.859016	dualbound = 3373903.525026, lowerbound=1266222.525026, norm of subgrad 37.778176	 stepsize= 1.000000 
-dualbound = 3373958.588313, lowerbound=1260222.588313, norm of subgrad 1123.182349	dualbound = 3373958.588313, lowerbound=1260222.588313, norm of subgrad 37.027872	 stepsize= 1.000000 
-dualbound = 3374061.657429, lowerbound=1266646.657429, norm of subgrad 1126.010505	dualbound = 3374061.657429, lowerbound=1266646.657429, norm of subgrad 36.824844	 stepsize= 1.000000 
-dualbound = 3374154.894423, lowerbound=1261594.894423, norm of subgrad 1123.765943	dualbound = 3374154.894423, lowerbound=1261594.894423, norm of subgrad 36.718347	 stepsize= 1.000000 
-dualbound = 3374244.874519, lowerbound=1265223.874519, norm of subgrad 1125.359442	dualbound = 3374244.874519, lowerbound=1265223.874519, norm of subgrad 36.055237	 stepsize= 1.000000 
-dualbound = 3374347.366251, lowerbound=1258737.366251, norm of subgrad 1122.478225	dualbound = 3374347.366251, lowerbound=1258737.366251, norm of subgrad 36.366079	 stepsize= 1.000000 
-dualbound = 3374443.498543, lowerbound=1265616.498543, norm of subgrad 1125.535205	dualbound = 3374443.498543, lowerbound=1265616.498543, norm of subgrad 36.181933	 stepsize= 1.000000 
-dualbound = 3374520.737076, lowerbound=1257226.737076, norm of subgrad 1121.799776	dualbound = 3374520.737076, lowerbound=1257226.737076, norm of subgrad 35.850224	 stepsize= 1.000000 
-dualbound = 3374599.854596, lowerbound=1268109.854596, norm of subgrad 1126.656937	dualbound = 3374599.854596, lowerbound=1268109.854596, norm of subgrad 36.402164	 stepsize= 1.000000 
-dualbound = 3374684.471628, lowerbound=1263273.471628, norm of subgrad 1124.530334	dualbound = 3374684.471628, lowerbound=1263273.471628, norm of subgrad 37.143196	 stepsize= 1.000000 
-dualbound = 3374760.678172, lowerbound=1262117.678172, norm of subgrad 1124.022988	dualbound = 3374760.678172, lowerbound=1262117.678172, norm of subgrad 37.231795	 stepsize= 1.000000 
-dualbound = 3374835.833036, lowerbound=1264185.833036, norm of subgrad 1124.928368	dualbound = 3374835.833036, lowerbound=1264185.833036, norm of subgrad 36.785253	 stepsize= 1.000000 
-dualbound = 3374945.354938, lowerbound=1260048.354938, norm of subgrad 1123.080298	dualbound = 3374945.354938, lowerbound=1260048.354938, norm of subgrad 37.020561	 stepsize= 1.000000 
-dualbound = 3375004.837484, lowerbound=1261837.837484, norm of subgrad 1123.916740	dualbound = 3375004.837484, lowerbound=1261837.837484, norm of subgrad 37.556392	 stepsize= 1.000000 
-dualbound = 3375098.761628, lowerbound=1263295.761628, norm of subgrad 1124.539800	dualbound = 3375098.761628, lowerbound=1263295.761628, norm of subgrad 37.254854	 stepsize= 1.000000 
-dualbound = 3375198.009814, lowerbound=1265978.009814, norm of subgrad 1125.716665	dualbound = 3375198.009814, lowerbound=1265978.009814, norm of subgrad 36.867983	 stepsize= 1.000000 
-dualbound = 3375301.153940, lowerbound=1265496.153940, norm of subgrad 1125.537273	dualbound = 3375301.153940, lowerbound=1265496.153940, norm of subgrad 37.962404	 stepsize= 1.000000 
-dualbound = 3375362.226912, lowerbound=1266153.226912, norm of subgrad 1125.829129	dualbound = 3375362.226912, lowerbound=1266153.226912, norm of subgrad 37.404184	 stepsize= 1.000000 
-dualbound = 3375445.067922, lowerbound=1265280.067922, norm of subgrad 1125.435946	dualbound = 3375445.067922, lowerbound=1265280.067922, norm of subgrad 37.534531	 stepsize= 1.000000 
-dualbound = 3375541.145875, lowerbound=1256237.145875, norm of subgrad 1121.413459	dualbound = 3375541.145875, lowerbound=1256237.145875, norm of subgrad 37.776685	 stepsize= 1.000000 
-dualbound = 3375623.178465, lowerbound=1269857.178465, norm of subgrad 1127.447195	dualbound = 3375623.178465, lowerbound=1269857.178465, norm of subgrad 36.905726	 stepsize= 1.000000 
-dualbound = 3375727.075232, lowerbound=1261624.075232, norm of subgrad 1123.798503	dualbound = 3375727.075232, lowerbound=1261624.075232, norm of subgrad 37.455264	 stepsize= 1.000000 
-dualbound = 3375802.504924, lowerbound=1264211.504924, norm of subgrad 1124.906443	dualbound = 3375802.504924, lowerbound=1264211.504924, norm of subgrad 35.755135	 stepsize= 1.000000 
-dualbound = 3375906.955106, lowerbound=1263464.955106, norm of subgrad 1124.626585	dualbound = 3375906.955106, lowerbound=1263464.955106, norm of subgrad 37.741889	 stepsize= 1.000000 
-dualbound = 3375947.354510, lowerbound=1266550.354510, norm of subgrad 1125.958416	dualbound = 3375947.354510, lowerbound=1266550.354510, norm of subgrad 35.670708	 stepsize= 1.000000 
-dualbound = 3376067.507113, lowerbound=1255467.507113, norm of subgrad 1121.072035	dualbound = 3376067.507113, lowerbound=1255467.507113, norm of subgrad 38.146463	 stepsize= 1.000000 
-dualbound = 3376119.294545, lowerbound=1262731.294545, norm of subgrad 1124.283903	dualbound = 3376119.294545, lowerbound=1262731.294545, norm of subgrad 36.534743	 stepsize= 1.000000 
-dualbound = 3376243.238033, lowerbound=1267535.238033, norm of subgrad 1126.396572	dualbound = 3376243.238033, lowerbound=1267535.238033, norm of subgrad 36.850285	 stepsize= 1.000000 
-dualbound = 3376328.937824, lowerbound=1261616.937824, norm of subgrad 1123.785984	dualbound = 3376328.937824, lowerbound=1261616.937824, norm of subgrad 36.928306	 stepsize= 1.000000 
-dualbound = 3376382.678457, lowerbound=1265648.678457, norm of subgrad 1125.587259	dualbound = 3376382.678457, lowerbound=1265648.678457, norm of subgrad 36.766026	 stepsize= 1.000000 
-dualbound = 3376476.882970, lowerbound=1265319.882970, norm of subgrad 1125.415871	dualbound = 3376476.882970, lowerbound=1265319.882970, norm of subgrad 36.540450	 stepsize= 1.000000 
-dualbound = 3376575.446649, lowerbound=1265092.446649, norm of subgrad 1125.301491	dualbound = 3376575.446649, lowerbound=1265092.446649, norm of subgrad 36.187894	 stepsize= 1.000000 
-dualbound = 3376688.207904, lowerbound=1264299.207904, norm of subgrad 1124.948536	dualbound = 3376688.207904, lowerbound=1264299.207904, norm of subgrad 36.369785	 stepsize= 1.000000 
-dualbound = 3376767.801738, lowerbound=1257289.801738, norm of subgrad 1121.831004	dualbound = 3376767.801738, lowerbound=1257289.801738, norm of subgrad 35.980465	 stepsize= 1.000000 
-dualbound = 3376840.529648, lowerbound=1266985.529648, norm of subgrad 1126.168517	dualbound = 3376840.529648, lowerbound=1266985.529648, norm of subgrad 36.643252	 stepsize= 1.000000 
-dualbound = 3376928.092809, lowerbound=1263204.092809, norm of subgrad 1124.499930	dualbound = 3376928.092809, lowerbound=1263204.092809, norm of subgrad 37.196279	 stepsize= 1.000000 
-dualbound = 3376996.461607, lowerbound=1262406.461607, norm of subgrad 1124.167453	dualbound = 3376996.461607, lowerbound=1262406.461607, norm of subgrad 37.608095	 stepsize= 1.000000 
-dualbound = 3377077.167835, lowerbound=1262906.167835, norm of subgrad 1124.353222	dualbound = 3377077.167835, lowerbound=1262906.167835, norm of subgrad 36.670236	 stepsize= 1.000000 
-dualbound = 3377173.948240, lowerbound=1261914.948240, norm of subgrad 1123.894990	dualbound = 3377173.948240, lowerbound=1261914.948240, norm of subgrad 36.356298	 stepsize= 1.000000 
-dualbound = 3377275.118893, lowerbound=1266813.118893, norm of subgrad 1126.081311	dualbound = 3377275.118893, lowerbound=1266813.118893, norm of subgrad 36.703823	 stepsize= 1.000000 
-dualbound = 3377339.346337, lowerbound=1264337.346337, norm of subgrad 1125.001932	dualbound = 3377339.346337, lowerbound=1264337.346337, norm of subgrad 36.826993	 stepsize= 1.000000 
-dualbound = 3377438.631855, lowerbound=1263228.631855, norm of subgrad 1124.509952	dualbound = 3377438.631855, lowerbound=1263228.631855, norm of subgrad 37.326740	 stepsize= 1.000000 
-dualbound = 3377517.723012, lowerbound=1261463.723012, norm of subgrad 1123.711584	dualbound = 3377517.723012, lowerbound=1261463.723012, norm of subgrad 36.648208	 stepsize= 1.000000 
-dualbound = 3377606.409477, lowerbound=1264102.409477, norm of subgrad 1124.910845	dualbound = 3377606.409477, lowerbound=1264102.409477, norm of subgrad 37.559106	 stepsize= 1.000000 
-dualbound = 3377661.718278, lowerbound=1261431.718278, norm of subgrad 1123.744508	dualbound = 3377661.718278, lowerbound=1261431.718278, norm of subgrad 37.753262	 stepsize= 1.000000 
-dualbound = 3377752.139064, lowerbound=1266190.139064, norm of subgrad 1125.814878	dualbound = 3377752.139064, lowerbound=1266190.139064, norm of subgrad 36.870324	 stepsize= 1.000000 
-dualbound = 3377878.670261, lowerbound=1262581.670261, norm of subgrad 1124.222251	dualbound = 3377878.670261, lowerbound=1262581.670261, norm of subgrad 37.689935	 stepsize= 1.000000 
-dualbound = 3377942.212650, lowerbound=1263927.212650, norm of subgrad 1124.804966	dualbound = 3377942.212650, lowerbound=1263927.212650, norm of subgrad 36.366776	 stepsize= 1.000000 
-dualbound = 3378053.059990, lowerbound=1266987.059990, norm of subgrad 1126.182516	dualbound = 3378053.059990, lowerbound=1266987.059990, norm of subgrad 37.561248	 stepsize= 1.000000 
-dualbound = 3378112.310912, lowerbound=1261177.310912, norm of subgrad 1123.607276	dualbound = 3378112.310912, lowerbound=1261177.310912, norm of subgrad 37.084376	 stepsize= 1.000000 
-dualbound = 3378218.061640, lowerbound=1260521.061640, norm of subgrad 1123.295625	dualbound = 3378218.061640, lowerbound=1260521.061640, norm of subgrad 37.118065	 stepsize= 1.000000 
-dualbound = 3378307.315729, lowerbound=1264889.315729, norm of subgrad 1125.235671	dualbound = 3378307.315729, lowerbound=1264889.315729, norm of subgrad 36.813776	 stepsize= 1.000000 
-dualbound = 3378395.555294, lowerbound=1266018.555294, norm of subgrad 1125.739115	dualbound = 3378395.555294, lowerbound=1266018.555294, norm of subgrad 36.854302	 stepsize= 1.000000 
-dualbound = 3378455.369458, lowerbound=1257088.369458, norm of subgrad 1121.808080	dualbound = 3378455.369458, lowerbound=1257088.369458, norm of subgrad 37.746711	 stepsize= 1.000000 
-dualbound = 3378512.946345, lowerbound=1265053.946345, norm of subgrad 1125.347922	dualbound = 3378512.946345, lowerbound=1265053.946345, norm of subgrad 37.570958	 stepsize= 1.000000 
-dualbound = 3378614.975365, lowerbound=1261766.975365, norm of subgrad 1123.871423	dualbound = 3378614.975365, lowerbound=1261766.975365, norm of subgrad 37.709800	 stepsize= 1.000000 
-dualbound = 3378707.231589, lowerbound=1268007.231589, norm of subgrad 1126.633584	dualbound = 3378707.231589, lowerbound=1268007.231589, norm of subgrad 37.259311	 stepsize= 1.000000 
-dualbound = 3378788.615089, lowerbound=1263007.615089, norm of subgrad 1124.416122	dualbound = 3378788.615089, lowerbound=1263007.615089, norm of subgrad 37.220740	 stepsize= 1.000000 
-dualbound = 3378873.757982, lowerbound=1267243.757982, norm of subgrad 1126.312904	dualbound = 3378873.757982, lowerbound=1267243.757982, norm of subgrad 37.711310	 stepsize= 1.000000 
-dualbound = 3378969.175621, lowerbound=1260584.175621, norm of subgrad 1123.331285	dualbound = 3378969.175621, lowerbound=1260584.175621, norm of subgrad 37.207763	 stepsize= 1.000000 
-dualbound = 3379060.317061, lowerbound=1266723.317061, norm of subgrad 1126.054314	dualbound = 3379060.317061, lowerbound=1266723.317061, norm of subgrad 36.961351	 stepsize= 1.000000 
-dualbound = 3379151.817815, lowerbound=1261054.817815, norm of subgrad 1123.538525	dualbound = 3379151.817815, lowerbound=1261054.817815, norm of subgrad 37.087744	 stepsize= 1.000000 
-dualbound = 3379247.405975, lowerbound=1266941.405975, norm of subgrad 1126.142267	dualbound = 3379247.405975, lowerbound=1266941.405975, norm of subgrad 36.750349	 stepsize= 1.000000 
-dualbound = 3379344.388064, lowerbound=1265169.388064, norm of subgrad 1125.357005	dualbound = 3379344.388064, lowerbound=1265169.388064, norm of subgrad 36.823662	 stepsize= 1.000000 
-dualbound = 3379393.540201, lowerbound=1263745.540201, norm of subgrad 1124.745989	dualbound = 3379393.540201, lowerbound=1263745.540201, norm of subgrad 36.839546	 stepsize= 1.000000 
-dualbound = 3379489.019765, lowerbound=1264855.019765, norm of subgrad 1125.211989	dualbound = 3379489.019765, lowerbound=1264855.019765, norm of subgrad 36.639863	 stepsize= 1.000000 
-dualbound = 3379580.954953, lowerbound=1262827.954953, norm of subgrad 1124.319330	dualbound = 3379580.954953, lowerbound=1262827.954953, norm of subgrad 36.850172	 stepsize= 1.000000 
-dualbound = 3379671.555252, lowerbound=1267649.555252, norm of subgrad 1126.450423	dualbound = 3379671.555252, lowerbound=1267649.555252, norm of subgrad 36.491099	 stepsize= 1.000000 
-dualbound = 3379753.344228, lowerbound=1265421.344228, norm of subgrad 1125.459170	dualbound = 3379753.344228, lowerbound=1265421.344228, norm of subgrad 36.315134	 stepsize= 1.000000 
-dualbound = 3379843.282190, lowerbound=1264373.282190, norm of subgrad 1124.996125	dualbound = 3379843.282190, lowerbound=1264373.282190, norm of subgrad 36.509423	 stepsize= 1.000000 
-dualbound = 3379924.749449, lowerbound=1259266.749449, norm of subgrad 1122.759881	dualbound = 3379924.749449, lowerbound=1259266.749449, norm of subgrad 37.476223	 stepsize= 1.000000 
-dualbound = 3379988.031929, lowerbound=1264367.031929, norm of subgrad 1124.996459	dualbound = 3379988.031929, lowerbound=1264367.031929, norm of subgrad 36.239240	 stepsize= 1.000000 
-dualbound = 3380080.399035, lowerbound=1263813.399035, norm of subgrad 1124.767264	dualbound = 3380080.399035, lowerbound=1263813.399035, norm of subgrad 37.153292	 stepsize= 1.000000 
-dualbound = 3380154.940420, lowerbound=1261390.940420, norm of subgrad 1123.702781	dualbound = 3380154.940420, lowerbound=1261390.940420, norm of subgrad 37.303370	 stepsize= 1.000000 
-dualbound = 3380221.062413, lowerbound=1267341.062413, norm of subgrad 1126.345889	dualbound = 3380221.062413, lowerbound=1267341.062413, norm of subgrad 37.149993	 stepsize= 1.000000 
-dualbound = 3380325.619330, lowerbound=1266834.619330, norm of subgrad 1126.109062	dualbound = 3380325.619330, lowerbound=1266834.619330, norm of subgrad 37.303578	 stepsize= 1.000000 
-dualbound = 3380407.347063, lowerbound=1266499.347063, norm of subgrad 1125.948643	dualbound = 3380407.347063, lowerbound=1266499.347063, norm of subgrad 36.643249	 stepsize= 1.000000 
-dualbound = 3380515.425876, lowerbound=1257791.425876, norm of subgrad 1122.070152	dualbound = 3380515.425876, lowerbound=1257791.425876, norm of subgrad 36.852121	 stepsize= 1.000000 
-dualbound = 3380592.877896, lowerbound=1267294.877896, norm of subgrad 1126.308074	dualbound = 3380592.877896, lowerbound=1267294.877896, norm of subgrad 36.775699	 stepsize= 1.000000 
-dualbound = 3380671.473352, lowerbound=1264459.473352, norm of subgrad 1125.018432	dualbound = 3380671.473352, lowerbound=1264459.473352, norm of subgrad 35.855201	 stepsize= 1.000000 
-dualbound = 3380794.288022, lowerbound=1263712.288022, norm of subgrad 1124.677860	dualbound = 3380794.288022, lowerbound=1263712.288022, norm of subgrad 36.205175	 stepsize= 1.000000 
-dualbound = 3380848.985427, lowerbound=1261907.985427, norm of subgrad 1123.909687	dualbound = 3380848.985427, lowerbound=1261907.985427, norm of subgrad 36.327640	 stepsize= 1.000000 
-dualbound = 3380923.077164, lowerbound=1270177.077164, norm of subgrad 1127.588612	dualbound = 3380923.077164, lowerbound=1270177.077164, norm of subgrad 36.784395	 stepsize= 1.000000 
-dualbound = 3381025.503662, lowerbound=1262555.503662, norm of subgrad 1124.191934	dualbound = 3381025.503662, lowerbound=1262555.503662, norm of subgrad 36.802534	 stepsize= 1.000000 
-dualbound = 3381113.700897, lowerbound=1265344.700897, norm of subgrad 1125.419789	dualbound = 3381113.700897, lowerbound=1265344.700897, norm of subgrad 36.238063	 stepsize= 1.000000 
-dualbound = 3381202.981777, lowerbound=1263106.981777, norm of subgrad 1124.442076	dualbound = 3381202.981777, lowerbound=1263106.981777, norm of subgrad 36.773372	 stepsize= 1.000000 
-dualbound = 3381262.310101, lowerbound=1264667.310101, norm of subgrad 1125.138796	dualbound = 3381262.310101, lowerbound=1264667.310101, norm of subgrad 36.459955	 stepsize= 1.000000 
-dualbound = 3381378.532212, lowerbound=1264667.532212, norm of subgrad 1125.129562	dualbound = 3381378.532212, lowerbound=1264667.532212, norm of subgrad 36.948912	 stepsize= 1.000000 
-dualbound = 3381453.643369, lowerbound=1269907.643369, norm of subgrad 1127.459819	dualbound = 3381453.643369, lowerbound=1269907.643369, norm of subgrad 36.511795	 stepsize= 1.000000 
-dualbound = 3381552.987194, lowerbound=1260069.987194, norm of subgrad 1123.074791	dualbound = 3381552.987194, lowerbound=1260069.987194, norm of subgrad 36.419004	 stepsize= 1.000000 
-dualbound = 3381629.280298, lowerbound=1265016.280298, norm of subgrad 1125.308082	dualbound = 3381629.280298, lowerbound=1265016.280298, norm of subgrad 37.125370	 stepsize= 1.000000 
-dualbound = 3381687.669461, lowerbound=1259339.669461, norm of subgrad 1122.804377	dualbound = 3381687.669461, lowerbound=1259339.669461, norm of subgrad 37.528511	 stepsize= 1.000000 
-dualbound = 3381789.157985, lowerbound=1264827.157985, norm of subgrad 1125.228936	dualbound = 3381789.157985, lowerbound=1264827.157985, norm of subgrad 37.609687	 stepsize= 1.000000 
-dualbound = 3381860.015725, lowerbound=1263791.015725, norm of subgrad 1124.766205	dualbound = 3381860.015725, lowerbound=1263791.015725, norm of subgrad 37.132974	 stepsize= 1.000000 
-dualbound = 3381966.599579, lowerbound=1263810.599579, norm of subgrad 1124.775355	dualbound = 3381966.599579, lowerbound=1263810.599579, norm of subgrad 37.624246	 stepsize= 1.000000 
-dualbound = 3382055.947863, lowerbound=1267735.947863, norm of subgrad 1126.487882	dualbound = 3382055.947863, lowerbound=1267735.947863, norm of subgrad 36.446513	 stepsize= 1.000000 
-dualbound = 3382158.974054, lowerbound=1263392.974054, norm of subgrad 1124.579021	dualbound = 3382158.974054, lowerbound=1263392.974054, norm of subgrad 37.256224	 stepsize= 1.000000 
-dualbound = 3382221.609438, lowerbound=1266194.609438, norm of subgrad 1125.833296	dualbound = 3382221.609438, lowerbound=1266194.609438, norm of subgrad 36.995072	 stepsize= 1.000000 
-dualbound = 3382314.604924, lowerbound=1260561.604924, norm of subgrad 1123.320793	dualbound = 3382314.604924, lowerbound=1260561.604924, norm of subgrad 37.161748	 stepsize= 1.000000 
-dualbound = 3382390.483257, lowerbound=1267032.483257, norm of subgrad 1126.197355	dualbound = 3382390.483257, lowerbound=1267032.483257, norm of subgrad 36.930723	 stepsize= 1.000000 
-dualbound = 3382479.208076, lowerbound=1261431.208076, norm of subgrad 1123.725593	dualbound = 3382479.208076, lowerbound=1261431.208076, norm of subgrad 37.639405	 stepsize= 1.000000 
-dualbound = 3382537.242416, lowerbound=1264816.242416, norm of subgrad 1125.202756	dualbound = 3382537.242416, lowerbound=1264816.242416, norm of subgrad 36.373539	 stepsize= 1.000000 
-dualbound = 3382672.188288, lowerbound=1262422.188288, norm of subgrad 1124.141534	dualbound = 3382672.188288, lowerbound=1262422.188288, norm of subgrad 37.509277	 stepsize= 1.000000 
-dualbound = 3382719.615447, lowerbound=1267488.615447, norm of subgrad 1126.416715	dualbound = 3382719.615447, lowerbound=1267488.615447, norm of subgrad 37.059778	 stepsize= 1.000000 
-dualbound = 3382813.872851, lowerbound=1260401.872851, norm of subgrad 1123.256370	dualbound = 3382813.872851, lowerbound=1260401.872851, norm of subgrad 37.379906	 stepsize= 1.000000 
-dualbound = 3382903.504655, lowerbound=1265199.504655, norm of subgrad 1125.378383	dualbound = 3382903.504655, lowerbound=1265199.504655, norm of subgrad 36.967984	 stepsize= 1.000000 
-dualbound = 3382980.969575, lowerbound=1266426.969575, norm of subgrad 1125.935597	dualbound = 3382980.969575, lowerbound=1266426.969575, norm of subgrad 37.168063	 stepsize= 1.000000 
-dualbound = 3383060.705345, lowerbound=1261132.705345, norm of subgrad 1123.578972	dualbound = 3383060.705345, lowerbound=1261132.705345, norm of subgrad 37.104390	 stepsize= 1.000000 
-dualbound = 3383160.581156, lowerbound=1264178.581156, norm of subgrad 1124.927812	dualbound = 3383160.581156, lowerbound=1264178.581156, norm of subgrad 37.200481	 stepsize= 1.000000 
-dualbound = 3383254.630942, lowerbound=1261590.630942, norm of subgrad 1123.793411	dualbound = 3383254.630942, lowerbound=1261590.630942, norm of subgrad 37.617147	 stepsize= 1.000000 
-dualbound = 3383318.209803, lowerbound=1259252.209803, norm of subgrad 1122.727576	dualbound = 3383318.209803, lowerbound=1259252.209803, norm of subgrad 36.449676	 stepsize= 1.000000 
-dualbound = 3383431.177866, lowerbound=1268518.177866, norm of subgrad 1126.847451	dualbound = 3383431.177866, lowerbound=1268518.177866, norm of subgrad 37.147921	 stepsize= 1.000000 
-dualbound = 3383492.476736, lowerbound=1257495.476736, norm of subgrad 1121.965898	dualbound = 3383492.476736, lowerbound=1257495.476736, norm of subgrad 37.058047	 stepsize= 1.000000 
-dualbound = 3383599.091965, lowerbound=1268294.091965, norm of subgrad 1126.732041	dualbound = 3383599.091965, lowerbound=1268294.091965, norm of subgrad 36.573422	 stepsize= 1.000000 
-dualbound = 3383681.206317, lowerbound=1263060.206317, norm of subgrad 1124.428391	dualbound = 3383681.206317, lowerbound=1263060.206317, norm of subgrad 36.893283	 stepsize= 1.000000 
-dualbound = 3383750.664669, lowerbound=1264811.664669, norm of subgrad 1125.214942	dualbound = 3383750.664669, lowerbound=1264811.664669, norm of subgrad 36.965637	 stepsize= 1.000000 
-dualbound = 3383812.265236, lowerbound=1265071.265236, norm of subgrad 1125.343621	dualbound = 3383812.265236, lowerbound=1265071.265236, norm of subgrad 37.263931	 stepsize= 1.000000 
-dualbound = 3383923.841859, lowerbound=1262507.841859, norm of subgrad 1124.163619	dualbound = 3383923.841859, lowerbound=1262507.841859, norm of subgrad 36.709353	 stepsize= 1.000000 
-dualbound = 3384034.197420, lowerbound=1264234.197420, norm of subgrad 1124.924974	dualbound = 3384034.197420, lowerbound=1264234.197420, norm of subgrad 36.501446	 stepsize= 1.000000 
-dualbound = 3384102.415190, lowerbound=1265336.415190, norm of subgrad 1125.448984	dualbound = 3384102.415190, lowerbound=1265336.415190, norm of subgrad 36.975908	 stepsize= 1.000000 
-dualbound = 3384183.001584, lowerbound=1262487.001584, norm of subgrad 1124.202829	dualbound = 3384183.001584, lowerbound=1262487.001584, norm of subgrad 37.756938	 stepsize= 1.000000 
-dualbound = 3384245.313425, lowerbound=1268821.313425, norm of subgrad 1127.016998	dualbound = 3384245.313425, lowerbound=1268821.313425, norm of subgrad 37.527481	 stepsize= 1.000000 
-dualbound = 3384342.881856, lowerbound=1263026.881856, norm of subgrad 1124.407347	dualbound = 3384342.881856, lowerbound=1263026.881856, norm of subgrad 36.912985	 stepsize= 1.000000 
-dualbound = 3384435.565064, lowerbound=1263891.565064, norm of subgrad 1124.771784	dualbound = 3384435.565064, lowerbound=1263891.565064, norm of subgrad 36.230970	 stepsize= 1.000000 
-dualbound = 3384525.478582, lowerbound=1264540.478582, norm of subgrad 1125.060656	dualbound = 3384525.478582, lowerbound=1264540.478582, norm of subgrad 36.206540	 stepsize= 1.000000 
-dualbound = 3384635.101084, lowerbound=1266100.101084, norm of subgrad 1125.729142	dualbound = 3384635.101084, lowerbound=1266100.101084, norm of subgrad 35.715858	 stepsize= 1.000000 
-dualbound = 3384714.028722, lowerbound=1268748.028722, norm of subgrad 1126.950322	dualbound = 3384714.028722, lowerbound=1268748.028722, norm of subgrad 36.714134	 stepsize= 1.000000 
-dualbound = 3384784.016172, lowerbound=1269445.016172, norm of subgrad 1127.255524	dualbound = 3384784.016172, lowerbound=1269445.016172, norm of subgrad 36.468993	 stepsize= 1.000000 
-dualbound = 3384879.432761, lowerbound=1262347.432761, norm of subgrad 1124.092715	dualbound = 3384879.432761, lowerbound=1262347.432761, norm of subgrad 36.502282	 stepsize= 1.000000 
-dualbound = 3384963.071895, lowerbound=1267662.071895, norm of subgrad 1126.449321	dualbound = 3384963.071895, lowerbound=1267662.071895, norm of subgrad 36.188937	 stepsize= 1.000000 
-dualbound = 3385018.079169, lowerbound=1257634.079169, norm of subgrad 1121.994688	dualbound = 3385018.079169, lowerbound=1257634.079169, norm of subgrad 35.958410	 stepsize= 1.000000 
-dualbound = 3385125.061876, lowerbound=1263324.061876, norm of subgrad 1124.542157	dualbound = 3385125.061876, lowerbound=1263324.061876, norm of subgrad 37.121189	 stepsize= 1.000000 
-dualbound = 3385192.476416, lowerbound=1262025.476416, norm of subgrad 1123.984642	dualbound = 3385192.476416, lowerbound=1262025.476416, norm of subgrad 37.194281	 stepsize= 1.000000 
-dualbound = 3385274.281918, lowerbound=1264278.281918, norm of subgrad 1124.992125	dualbound = 3385274.281918, lowerbound=1264278.281918, norm of subgrad 37.560691	 stepsize= 1.000000 
-dualbound = 3385354.397509, lowerbound=1263056.397509, norm of subgrad 1124.444929	dualbound = 3385354.397509, lowerbound=1263056.397509, norm of subgrad 37.418118	 stepsize= 1.000000 
-dualbound = 3385462.550036, lowerbound=1264980.550036, norm of subgrad 1125.269990	dualbound = 3385462.550036, lowerbound=1264980.550036, norm of subgrad 36.880246	 stepsize= 1.000000 
-dualbound = 3385527.591887, lowerbound=1257938.591887, norm of subgrad 1122.149541	dualbound = 3385527.591887, lowerbound=1257938.591887, norm of subgrad 36.688443	 stepsize= 1.000000 
-dualbound = 3385633.614976, lowerbound=1271887.614976, norm of subgrad 1128.325580	dualbound = 3385633.614976, lowerbound=1271887.614976, norm of subgrad 36.565326	 stepsize= 1.000000 
-dualbound = 3385730.582629, lowerbound=1263737.582629, norm of subgrad 1124.711333	dualbound = 3385730.582629, lowerbound=1263737.582629, norm of subgrad 36.537209	 stepsize= 1.000000 
-dualbound = 3385817.366368, lowerbound=1264595.366368, norm of subgrad 1125.089493	dualbound = 3385817.366368, lowerbound=1264595.366368, norm of subgrad 36.301291	 stepsize= 1.000000 
-dualbound = 3385908.004623, lowerbound=1269117.004623, norm of subgrad 1127.122001	dualbound = 3385908.004623, lowerbound=1269117.004623, norm of subgrad 37.116550	 stepsize= 1.000000 
-dualbound = 3385961.933464, lowerbound=1267801.933464, norm of subgrad 1126.547351	dualbound = 3385961.933464, lowerbound=1267801.933464, norm of subgrad 36.890769	 stepsize= 1.000000 
-dualbound = 3386076.051965, lowerbound=1266364.051965, norm of subgrad 1125.910766	dualbound = 3386076.051965, lowerbound=1266364.051965, norm of subgrad 37.750742	 stepsize= 1.000000 
-dualbound = 3386138.274197, lowerbound=1265952.274197, norm of subgrad 1125.745208	dualbound = 3386138.274197, lowerbound=1265952.274197, norm of subgrad 37.579545	 stepsize= 1.000000 
-dualbound = 3386237.521949, lowerbound=1262127.521949, norm of subgrad 1124.000677	dualbound = 3386237.521949, lowerbound=1262127.521949, norm of subgrad 36.732108	 stepsize= 1.000000 
-dualbound = 3386319.753468, lowerbound=1267406.753468, norm of subgrad 1126.382596	dualbound = 3386319.753468, lowerbound=1267406.753468, norm of subgrad 37.592972	 stepsize= 1.000000 
-dualbound = 3386407.752053, lowerbound=1261936.752053, norm of subgrad 1123.930048	dualbound = 3386407.752053, lowerbound=1261936.752053, norm of subgrad 37.013492	 stepsize= 1.000000 
-dualbound = 3386478.983015, lowerbound=1268084.983015, norm of subgrad 1126.661876	dualbound = 3386478.983015, lowerbound=1268084.983015, norm of subgrad 36.786288	 stepsize= 1.000000 
-dualbound = 3386571.695551, lowerbound=1256277.695551, norm of subgrad 1121.397653	dualbound = 3386571.695551, lowerbound=1256277.695551, norm of subgrad 36.711205	 stepsize= 1.000000 
-dualbound = 3386659.681488, lowerbound=1268484.681488, norm of subgrad 1126.836138	dualbound = 3386659.681488, lowerbound=1268484.681488, norm of subgrad 36.918639	 stepsize= 1.000000 
-dualbound = 3386737.251268, lowerbound=1261376.251268, norm of subgrad 1123.676667	dualbound = 3386737.251268, lowerbound=1261376.251268, norm of subgrad 36.750099	 stepsize= 1.000000 
-dualbound = 3386814.804099, lowerbound=1269435.804099, norm of subgrad 1127.249220	dualbound = 3386814.804099, lowerbound=1269435.804099, norm of subgrad 36.504148	 stepsize= 1.000000 
-dualbound = 3386921.260069, lowerbound=1262376.260069, norm of subgrad 1124.125109	dualbound = 3386921.260069, lowerbound=1262376.260069, norm of subgrad 37.248570	 stepsize= 1.000000 
-dualbound = 3386999.060966, lowerbound=1268770.060966, norm of subgrad 1126.992485	dualbound = 3386999.060966, lowerbound=1268770.060966, norm of subgrad 37.680245	 stepsize= 1.000000 
-dualbound = 3387046.397283, lowerbound=1263822.397283, norm of subgrad 1124.782822	dualbound = 3387046.397283, lowerbound=1263822.397283, norm of subgrad 36.896291	 stepsize= 1.000000 
-dualbound = 3387160.994564, lowerbound=1266524.994564, norm of subgrad 1125.985788	dualbound = 3387160.994564, lowerbound=1266524.994564, norm of subgrad 37.862875	 stepsize= 1.000000 
-dualbound = 3387215.313217, lowerbound=1270588.313217, norm of subgrad 1127.785136	dualbound = 3387215.313217, lowerbound=1270588.313217, norm of subgrad 36.950219	 stepsize= 1.000000 
-dualbound = 3387326.903628, lowerbound=1263063.903628, norm of subgrad 1124.426478	dualbound = 3387326.903628, lowerbound=1263063.903628, norm of subgrad 37.183201	 stepsize= 1.000000 
-dualbound = 3387412.098780, lowerbound=1263300.098780, norm of subgrad 1124.521720	dualbound = 3387412.098780, lowerbound=1263300.098780, norm of subgrad 36.526636	 stepsize= 1.000000 
-dualbound = 3387484.896443, lowerbound=1266832.896443, norm of subgrad 1126.118953	dualbound = 3387484.896443, lowerbound=1266832.896443, norm of subgrad 37.199431	 stepsize= 1.000000 
-dualbound = 3387564.729230, lowerbound=1261713.729230, norm of subgrad 1123.842840	dualbound = 3387564.729230, lowerbound=1261713.729230, norm of subgrad 37.267047	 stepsize= 1.000000 
-dualbound = 3387650.462518, lowerbound=1262180.462518, norm of subgrad 1124.059813	dualbound = 3387650.462518, lowerbound=1262180.462518, norm of subgrad 37.626231	 stepsize= 1.000000 
-dualbound = 3387746.295760, lowerbound=1267572.295760, norm of subgrad 1126.426338	dualbound = 3387746.295760, lowerbound=1267572.295760, norm of subgrad 36.875917	 stepsize= 1.000000 
-dualbound = 3387828.680304, lowerbound=1265962.680304, norm of subgrad 1125.708968	dualbound = 3387828.680304, lowerbound=1265962.680304, norm of subgrad 36.611263	 stepsize= 1.000000 
-dualbound = 3387920.292230, lowerbound=1263341.292230, norm of subgrad 1124.548928	dualbound = 3387920.292230, lowerbound=1263341.292230, norm of subgrad 36.886473	 stepsize= 1.000000 
-dualbound = 3387997.050385, lowerbound=1262739.050385, norm of subgrad 1124.281571	dualbound = 3387997.050385, lowerbound=1262739.050385, norm of subgrad 36.698204	 stepsize= 1.000000 
-dualbound = 3388073.882447, lowerbound=1268138.882447, norm of subgrad 1126.686683	dualbound = 3388073.882447, lowerbound=1268138.882447, norm of subgrad 36.889457	 stepsize= 1.000000 
-dualbound = 3388159.616372, lowerbound=1264589.616372, norm of subgrad 1125.096714	dualbound = 3388159.616372, lowerbound=1264589.616372, norm of subgrad 36.588713	 stepsize= 1.000000 
-dualbound = 3388263.711641, lowerbound=1259293.711641, norm of subgrad 1122.724682	dualbound = 3388263.711641, lowerbound=1259293.711641, norm of subgrad 36.346874	 stepsize= 1.000000 
-dualbound = 3388336.295808, lowerbound=1264566.295808, norm of subgrad 1125.108571	dualbound = 3388336.295808, lowerbound=1264566.295808, norm of subgrad 37.088869	 stepsize= 1.000000 
-dualbound = 3388403.739420, lowerbound=1263030.739420, norm of subgrad 1124.442413	dualbound = 3388403.739420, lowerbound=1263030.739420, norm of subgrad 37.515911	 stepsize= 1.000000 
-dualbound = 3388478.628806, lowerbound=1265730.628806, norm of subgrad 1125.665416	dualbound = 3388478.628806, lowerbound=1265730.628806, norm of subgrad 38.299992	 stepsize= 1.000000 
-dualbound = 3388566.721174, lowerbound=1266810.721174, norm of subgrad 1126.133083	dualbound = 3388566.721174, lowerbound=1266810.721174, norm of subgrad 38.119449	 stepsize= 1.000000 
-dualbound = 3388643.330487, lowerbound=1263125.330487, norm of subgrad 1124.492032	dualbound = 3388643.330487, lowerbound=1263125.330487, norm of subgrad 37.863034	 stepsize= 1.000000 
-dualbound = 3388737.503036, lowerbound=1261965.503036, norm of subgrad 1123.962857	dualbound = 3388737.503036, lowerbound=1261965.503036, norm of subgrad 37.698442	 stepsize= 1.000000 
-dualbound = 3388851.356953, lowerbound=1268521.356953, norm of subgrad 1126.852855	dualbound = 3388851.356953, lowerbound=1268521.356953, norm of subgrad 37.280745	 stepsize= 1.000000 
-dualbound = 3388938.451058, lowerbound=1261892.451058, norm of subgrad 1123.911229	dualbound = 3388938.451058, lowerbound=1261892.451058, norm of subgrad 37.028288	 stepsize= 1.000000 
-dualbound = 3389014.523975, lowerbound=1271210.523975, norm of subgrad 1128.052979	dualbound = 3389014.523975, lowerbound=1271210.523975, norm of subgrad 37.000985	 stepsize= 1.000000 
-dualbound = 3389102.962200, lowerbound=1258333.962200, norm of subgrad 1122.315892	dualbound = 3389102.962200, lowerbound=1258333.962200, norm of subgrad 36.707468	 stepsize= 1.000000 
-dualbound = 3389213.229335, lowerbound=1270157.229335, norm of subgrad 1127.567838	dualbound = 3389213.229335, lowerbound=1270157.229335, norm of subgrad 36.908903	 stepsize= 1.000000 
-dualbound = 3389264.798169, lowerbound=1262089.798169, norm of subgrad 1124.013700	dualbound = 3389264.798169, lowerbound=1262089.798169, norm of subgrad 36.994173	 stepsize= 1.000000 
-dualbound = 3389358.613424, lowerbound=1268364.613424, norm of subgrad 1126.775316	dualbound = 3389358.613424, lowerbound=1268364.613424, norm of subgrad 36.767040	 stepsize= 1.000000 
-dualbound = 3389442.823100, lowerbound=1264071.823100, norm of subgrad 1124.879915	dualbound = 3389442.823100, lowerbound=1264071.823100, norm of subgrad 36.975799	 stepsize= 1.000000 
-dualbound = 3389532.288626, lowerbound=1267301.288626, norm of subgrad 1126.306481	dualbound = 3389532.288626, lowerbound=1267301.288626, norm of subgrad 36.803064	 stepsize= 1.000000 
-dualbound = 3389618.977359, lowerbound=1264625.977359, norm of subgrad 1125.133760	dualbound = 3389618.977359, lowerbound=1264625.977359, norm of subgrad 37.238270	 stepsize= 1.000000 
-dualbound = 3389710.369343, lowerbound=1267418.369343, norm of subgrad 1126.370884	dualbound = 3389710.369343, lowerbound=1267418.369343, norm of subgrad 37.207418	 stepsize= 1.000000 
-dualbound = 3389793.724153, lowerbound=1262819.724153, norm of subgrad 1124.299215	dualbound = 3389793.724153, lowerbound=1262819.724153, norm of subgrad 36.226438	 stepsize= 1.000000 
-dualbound = 3389899.401954, lowerbound=1265746.401954, norm of subgrad 1125.574699	dualbound = 3389899.401954, lowerbound=1265746.401954, norm of subgrad 35.744619	 stepsize= 1.000000 
-dualbound = 3389989.653427, lowerbound=1264571.653427, norm of subgrad 1125.070510	dualbound = 3389989.653427, lowerbound=1264571.653427, norm of subgrad 36.086722	 stepsize= 1.000000 
-dualbound = 3390045.888244, lowerbound=1262416.888244, norm of subgrad 1124.147183	dualbound = 3390045.888244, lowerbound=1262416.888244, norm of subgrad 36.691073	 stepsize= 1.000000 
-dualbound = 3390139.048328, lowerbound=1266258.048328, norm of subgrad 1125.821499	dualbound = 3390139.048328, lowerbound=1266258.048328, norm of subgrad 36.182317	 stepsize= 1.000000 
-dualbound = 3390222.269002, lowerbound=1265173.269002, norm of subgrad 1125.350732	dualbound = 3390222.269002, lowerbound=1265173.269002, norm of subgrad 36.389843	 stepsize= 1.000000 
-dualbound = 3390306.467843, lowerbound=1264354.467843, norm of subgrad 1125.010430	dualbound = 3390306.467843, lowerbound=1264354.467843, norm of subgrad 37.124101	 stepsize= 1.000000 
-dualbound = 3390355.129369, lowerbound=1266825.129369, norm of subgrad 1126.097300	dualbound = 3390355.129369, lowerbound=1266825.129369, norm of subgrad 36.313379	 stepsize= 1.000000 
-dualbound = 3390458.255142, lowerbound=1266524.255142, norm of subgrad 1125.949935	dualbound = 3390458.255142, lowerbound=1266524.255142, norm of subgrad 36.635035	 stepsize= 1.000000 
-dualbound = 3390559.878718, lowerbound=1263766.878718, norm of subgrad 1124.713243	dualbound = 3390559.878718, lowerbound=1263766.878718, norm of subgrad 36.257738	 stepsize= 1.000000 
-dualbound = 3390634.016793, lowerbound=1268936.016793, norm of subgrad 1127.043041	dualbound = 3390634.016793, lowerbound=1268936.016793, norm of subgrad 36.934240	 stepsize= 1.000000 
-dualbound = 3390711.793247, lowerbound=1264166.793247, norm of subgrad 1124.915460	dualbound = 3390711.793247, lowerbound=1264166.793247, norm of subgrad 36.684826	 stepsize= 1.000000 
-dualbound = 3390794.276844, lowerbound=1272289.276844, norm of subgrad 1128.510202	dualbound = 3390794.276844, lowerbound=1272289.276844, norm of subgrad 36.448369	 stepsize= 1.000000 
-dualbound = 3390904.873628, lowerbound=1264523.873628, norm of subgrad 1125.061720	dualbound = 3390904.873628, lowerbound=1264523.873628, norm of subgrad 36.750466	 stepsize= 1.000000 
-dualbound = 3390960.273738, lowerbound=1265181.273738, norm of subgrad 1125.382723	dualbound = 3390960.273738, lowerbound=1265181.273738, norm of subgrad 36.883602	 stepsize= 1.000000 
-dualbound = 3391056.398459, lowerbound=1266075.398459, norm of subgrad 1125.767471	dualbound = 3391056.398459, lowerbound=1266075.398459, norm of subgrad 37.055698	 stepsize= 1.000000 
-dualbound = 3391140.602780, lowerbound=1264713.602780, norm of subgrad 1125.142037	dualbound = 3391140.602780, lowerbound=1264713.602780, norm of subgrad 36.265746	 stepsize= 1.000000 
-dualbound = 3391248.107766, lowerbound=1263305.107766, norm of subgrad 1124.531951	dualbound = 3391248.107766, lowerbound=1263305.107766, norm of subgrad 37.074317	 stepsize= 1.000000 
-dualbound = 3391310.105995, lowerbound=1261814.105995, norm of subgrad 1123.883493	dualbound = 3391310.105995, lowerbound=1261814.105995, norm of subgrad 36.905260	 stepsize= 1.000000 
-dualbound = 3391407.457832, lowerbound=1268211.457832, norm of subgrad 1126.708240	dualbound = 3391407.457832, lowerbound=1268211.457832, norm of subgrad 36.842256	 stepsize= 1.000000 
-dualbound = 3391509.858436, lowerbound=1261719.858436, norm of subgrad 1123.819762	dualbound = 3391509.858436, lowerbound=1261719.858436, norm of subgrad 36.788593	 stepsize= 1.000000 
-dualbound = 3391595.426280, lowerbound=1265413.426280, norm of subgrad 1125.504077	dualbound = 3391595.426280, lowerbound=1265413.426280, norm of subgrad 37.836065	 stepsize= 1.000000 
-dualbound = 3391631.573338, lowerbound=1264463.573338, norm of subgrad 1125.066475	dualbound = 3391631.573338, lowerbound=1264463.573338, norm of subgrad 36.703502	 stepsize= 1.000000 
-dualbound = 3391734.007682, lowerbound=1266923.007682, norm of subgrad 1126.163402	dualbound = 3391734.007682, lowerbound=1266923.007682, norm of subgrad 37.728429	 stepsize= 1.000000 
-dualbound = 3391814.718609, lowerbound=1261166.718609, norm of subgrad 1123.619027	dualbound = 3391814.718609, lowerbound=1261166.718609, norm of subgrad 37.864375	 stepsize= 1.000000 
-dualbound = 3391887.461368, lowerbound=1264923.461368, norm of subgrad 1125.271728	dualbound = 3391887.461368, lowerbound=1264923.461368, norm of subgrad 37.225566	 stepsize= 1.000000 
-dualbound = 3391992.296062, lowerbound=1263498.296062, norm of subgrad 1124.612509	dualbound = 3391992.296062, lowerbound=1263498.296062, norm of subgrad 36.875937	 stepsize= 1.000000 
-dualbound = 3392093.229148, lowerbound=1265723.229148, norm of subgrad 1125.614156	dualbound = 3392093.229148, lowerbound=1265723.229148, norm of subgrad 37.214689	 stepsize= 1.000000 
-dualbound = 3392169.743477, lowerbound=1265917.743477, norm of subgrad 1125.657916	dualbound = 3392169.743477, lowerbound=1265917.743477, norm of subgrad 35.560010	 stepsize= 1.000000 
-dualbound = 3392275.424278, lowerbound=1264869.424278, norm of subgrad 1125.220611	dualbound = 3392275.424278, lowerbound=1264869.424278, norm of subgrad 36.846720	 stepsize= 1.000000 
-dualbound = 3392343.202399, lowerbound=1266005.202399, norm of subgrad 1125.729631	dualbound = 3392343.202399, lowerbound=1266005.202399, norm of subgrad 36.466123	 stepsize= 1.000000 
-dualbound = 3392405.677790, lowerbound=1266362.677790, norm of subgrad 1125.923478	dualbound = 3392405.677790, lowerbound=1266362.677790, norm of subgrad 37.462987	 stepsize= 1.000000 
-dualbound = 3392473.004195, lowerbound=1263689.004195, norm of subgrad 1124.726191	dualbound = 3392473.004195, lowerbound=1263689.004195, norm of subgrad 37.246831	 stepsize= 1.000000 
-dualbound = 3392579.769732, lowerbound=1265199.769732, norm of subgrad 1125.384721	dualbound = 3392579.769732, lowerbound=1265199.769732, norm of subgrad 37.386703	 stepsize= 1.000000 
-dualbound = 3392653.039819, lowerbound=1261917.039819, norm of subgrad 1123.935514	dualbound = 3392653.039819, lowerbound=1261917.039819, norm of subgrad 37.246075	 stepsize= 1.000000 
-dualbound = 3392724.982189, lowerbound=1267838.982189, norm of subgrad 1126.570451	dualbound = 3392724.982189, lowerbound=1267838.982189, norm of subgrad 37.335538	 stepsize= 1.000000 
-dualbound = 3392813.907652, lowerbound=1266514.907652, norm of subgrad 1125.975536	dualbound = 3392813.907652, lowerbound=1266514.907652, norm of subgrad 37.348701	 stepsize= 1.000000 
-dualbound = 3392913.034538, lowerbound=1268525.034538, norm of subgrad 1126.897082	dualbound = 3392913.034538, lowerbound=1268525.034538, norm of subgrad 38.355272	 stepsize= 1.000000 
-dualbound = 3392990.299603, lowerbound=1267731.299603, norm of subgrad 1126.548401	dualbound = 3392990.299603, lowerbound=1267731.299603, norm of subgrad 38.174141	 stepsize= 1.000000 
-dualbound = 3393062.292925, lowerbound=1263109.292925, norm of subgrad 1124.508467	dualbound = 3393062.292925, lowerbound=1263109.292925, norm of subgrad 38.496666	 stepsize= 1.000000 
-dualbound = 3393154.926284, lowerbound=1257687.926284, norm of subgrad 1122.060572	dualbound = 3393154.926284, lowerbound=1257687.926284, norm of subgrad 37.744316	 stepsize= 1.000000 
-dualbound = 3393245.896555, lowerbound=1266658.896555, norm of subgrad 1126.049687	dualbound = 3393245.896555, lowerbound=1266658.896555, norm of subgrad 37.682493	 stepsize= 1.000000 
-dualbound = 3393329.792312, lowerbound=1264549.792312, norm of subgrad 1125.123901	dualbound = 3393329.792312, lowerbound=1264549.792312, norm of subgrad 37.919596	 stepsize= 1.000000 
-dualbound = 3393424.909306, lowerbound=1265916.909306, norm of subgrad 1125.685973	dualbound = 3393424.909306, lowerbound=1265916.909306, norm of subgrad 36.703092	 stepsize= 1.000000 
-dualbound = 3393536.261828, lowerbound=1263346.261828, norm of subgrad 1124.550249	dualbound = 3393536.261828, lowerbound=1263346.261828, norm of subgrad 37.126170	 stepsize= 1.000000 
-dualbound = 3393597.456196, lowerbound=1265939.456196, norm of subgrad 1125.691546	dualbound = 3393597.456196, lowerbound=1265939.456196, norm of subgrad 36.099783	 stepsize= 1.000000 
-dualbound = 3393713.201201, lowerbound=1263247.201201, norm of subgrad 1124.505759	dualbound = 3393713.201201, lowerbound=1263247.201201, norm of subgrad 37.171831	 stepsize= 1.000000 
-dualbound = 3393768.226519, lowerbound=1270925.226519, norm of subgrad 1127.906125	dualbound = 3393768.226519, lowerbound=1270925.226519, norm of subgrad 36.083588	 stepsize= 1.000000 
-dualbound = 3393860.930673, lowerbound=1261956.930673, norm of subgrad 1123.935466	dualbound = 3393860.930673, lowerbound=1261956.930673, norm of subgrad 36.968962	 stepsize= 1.000000 
-dualbound = 3393957.839340, lowerbound=1269655.839340, norm of subgrad 1127.336613	dualbound = 3393957.839340, lowerbound=1269655.839340, norm of subgrad 36.454200	 stepsize= 1.000000 
-dualbound = 3394025.881613, lowerbound=1263040.881613, norm of subgrad 1124.435361	dualbound = 3394025.881613, lowerbound=1263040.881613, norm of subgrad 37.175829	 stepsize= 1.000000 
-dualbound = 3394105.431828, lowerbound=1269473.431828, norm of subgrad 1127.268571	dualbound = 3394105.431828, lowerbound=1269473.431828, norm of subgrad 36.613525	 stepsize= 1.000000 
-dualbound = 3394209.757368, lowerbound=1263275.757368, norm of subgrad 1124.500226	dualbound = 3394209.757368, lowerbound=1263275.757368, norm of subgrad 36.459917	 stepsize= 1.000000 
-dualbound = 3394291.624236, lowerbound=1268566.624236, norm of subgrad 1126.852974	dualbound = 3394291.624236, lowerbound=1268566.624236, norm of subgrad 36.233505	 stepsize= 1.000000 
-dualbound = 3394365.212038, lowerbound=1261786.212038, norm of subgrad 1123.854622	dualbound = 3394365.212038, lowerbound=1261786.212038, norm of subgrad 36.559374	 stepsize= 1.000000 
-dualbound = 3394446.082572, lowerbound=1268934.082572, norm of subgrad 1127.023994	dualbound = 3394446.082572, lowerbound=1268934.082572, norm of subgrad 36.467390	 stepsize= 1.000000 
-dualbound = 3394550.059939, lowerbound=1269569.059939, norm of subgrad 1127.310099	dualbound = 3394550.059939, lowerbound=1269569.059939, norm of subgrad 36.918523	 stepsize= 1.000000 
-dualbound = 3394628.969156, lowerbound=1261710.969156, norm of subgrad 1123.812248	dualbound = 3394628.969156, lowerbound=1261710.969156, norm of subgrad 36.358069	 stepsize= 1.000000 
-dualbound = 3394714.257402, lowerbound=1266112.257402, norm of subgrad 1125.782065	dualbound = 3394714.257402, lowerbound=1266112.257402, norm of subgrad 36.854962	 stepsize= 1.000000 
-dualbound = 3394796.039212, lowerbound=1266806.039212, norm of subgrad 1126.099480	dualbound = 3394796.039212, lowerbound=1266806.039212, norm of subgrad 37.091533	 stepsize= 1.000000 
-dualbound = 3394883.288252, lowerbound=1265832.288252, norm of subgrad 1125.635060	dualbound = 3394883.288252, lowerbound=1265832.288252, norm of subgrad 36.183547	 stepsize= 1.000000 
-dualbound = 3394976.112720, lowerbound=1266883.112720, norm of subgrad 1126.115497	dualbound = 3394976.112720, lowerbound=1266883.112720, norm of subgrad 36.685480	 stepsize= 1.000000 
-dualbound = 3395036.017553, lowerbound=1261989.017553, norm of subgrad 1123.972427	dualbound = 3395036.017553, lowerbound=1261989.017553, norm of subgrad 37.214310	 stepsize= 1.000000 
-dualbound = 3395117.436386, lowerbound=1268520.436386, norm of subgrad 1126.838248	dualbound = 3395117.436386, lowerbound=1268520.436386, norm of subgrad 36.406302	 stepsize= 1.000000 
-dualbound = 3395230.041718, lowerbound=1264794.041718, norm of subgrad 1125.212443	dualbound = 3395230.041718, lowerbound=1264794.041718, norm of subgrad 37.704182	 stepsize= 1.000000 
-dualbound = 3395298.249650, lowerbound=1270780.249650, norm of subgrad 1127.866237	dualbound = 3395298.249650, lowerbound=1270780.249650, norm of subgrad 37.016320	 stepsize= 1.000000 
-dualbound = 3395378.506625, lowerbound=1261509.506625, norm of subgrad 1123.747528	dualbound = 3395378.506625, lowerbound=1261509.506625, norm of subgrad 37.138349	 stepsize= 1.000000 
-dualbound = 3395461.209201, lowerbound=1264673.209201, norm of subgrad 1125.132530	dualbound = 3395461.209201, lowerbound=1264673.209201, norm of subgrad 36.506199	 stepsize= 1.000000 
-dualbound = 3395576.974245, lowerbound=1264348.974245, norm of subgrad 1124.973766	dualbound = 3395576.974245, lowerbound=1264348.974245, norm of subgrad 36.507055	 stepsize= 1.000000 
-dualbound = 3395659.502169, lowerbound=1268698.502169, norm of subgrad 1126.898621	dualbound = 3395659.502169, lowerbound=1268698.502169, norm of subgrad 35.840311	 stepsize= 1.000000 
-dualbound = 3395734.645357, lowerbound=1264523.645357, norm of subgrad 1125.069174	dualbound = 3395734.645357, lowerbound=1264523.645357, norm of subgrad 36.498537	 stepsize= 1.000000 
-dualbound = 3395806.251628, lowerbound=1265746.251628, norm of subgrad 1125.643928	dualbound = 3395806.251628, lowerbound=1265746.251628, norm of subgrad 37.411312	 stepsize= 1.000000 
-dualbound = 3395874.220208, lowerbound=1265114.220208, norm of subgrad 1125.366260	dualbound = 3395874.220208, lowerbound=1265114.220208, norm of subgrad 37.456222	 stepsize= 1.000000 
-dualbound = 3395957.319593, lowerbound=1265423.319593, norm of subgrad 1125.514691	dualbound = 3395957.319593, lowerbound=1265423.319593, norm of subgrad 37.988148	 stepsize= 1.000000 
-dualbound = 3396062.756539, lowerbound=1261130.756539, norm of subgrad 1123.579884	dualbound = 3396062.756539, lowerbound=1261130.756539, norm of subgrad 37.502493	 stepsize= 1.000000 
-dualbound = 3396166.073631, lowerbound=1265089.073631, norm of subgrad 1125.323986	dualbound = 3396166.073631, lowerbound=1265089.073631, norm of subgrad 36.990770	 stepsize= 1.000000 
-dualbound = 3396227.228392, lowerbound=1264802.228392, norm of subgrad 1125.223190	dualbound = 3396227.228392, lowerbound=1264802.228392, norm of subgrad 37.231099	 stepsize= 1.000000 
-dualbound = 3396330.088548, lowerbound=1265772.088548, norm of subgrad 1125.633639	dualbound = 3396330.088548, lowerbound=1265772.088548, norm of subgrad 37.173380	 stepsize= 1.000000 
-dualbound = 3396398.201697, lowerbound=1269651.201697, norm of subgrad 1127.383786	dualbound = 3396398.201697, lowerbound=1269651.201697, norm of subgrad 37.564786	 stepsize= 1.000000 
-dualbound = 3396478.155642, lowerbound=1266182.155642, norm of subgrad 1125.817550	dualbound = 3396478.155642, lowerbound=1266182.155642, norm of subgrad 36.918206	 stepsize= 1.000000 
-dualbound = 3396581.918091, lowerbound=1263347.918091, norm of subgrad 1124.549207	dualbound = 3396581.918091, lowerbound=1263347.918091, norm of subgrad 36.969750	 stepsize= 1.000000 
-dualbound = 3396652.857722, lowerbound=1267784.857722, norm of subgrad 1126.520687	dualbound = 3396652.857722, lowerbound=1267784.857722, norm of subgrad 36.536826	 stepsize= 1.000000 
-dualbound = 3396755.103057, lowerbound=1265139.103057, norm of subgrad 1125.336884	dualbound = 3396755.103057, lowerbound=1265139.103057, norm of subgrad 36.691216	 stepsize= 1.000000 
-dualbound = 3396841.390068, lowerbound=1273807.390068, norm of subgrad 1129.171550	dualbound = 3396841.390068, lowerbound=1273807.390068, norm of subgrad 36.156424	 stepsize= 1.000000 
-dualbound = 3396941.578796, lowerbound=1262341.578796, norm of subgrad 1124.090112	dualbound = 3396941.578796, lowerbound=1262341.578796, norm of subgrad 36.567591	 stepsize= 1.000000 
-dualbound = 3396996.291563, lowerbound=1270221.291563, norm of subgrad 1127.583829	dualbound = 3396996.291563, lowerbound=1270221.291563, norm of subgrad 35.759093	 stepsize= 1.000000 
-dualbound = 3397092.593275, lowerbound=1264215.593275, norm of subgrad 1124.939373	dualbound = 3397092.593275, lowerbound=1264215.593275, norm of subgrad 37.004077	 stepsize= 1.000000 
-dualbound = 3397167.135991, lowerbound=1270861.135991, norm of subgrad 1127.896775	dualbound = 3397167.135991, lowerbound=1270861.135991, norm of subgrad 36.939717	 stepsize= 1.000000 
-dualbound = 3397242.884783, lowerbound=1265098.884783, norm of subgrad 1125.354560	dualbound = 3397242.884783, lowerbound=1265098.884783, norm of subgrad 37.413217	 stepsize= 1.000000 
-dualbound = 3397331.403629, lowerbound=1268674.403629, norm of subgrad 1126.923424	dualbound = 3397331.403629, lowerbound=1268674.403629, norm of subgrad 37.020519	 stepsize= 1.000000 
-dualbound = 3397410.581281, lowerbound=1263454.581281, norm of subgrad 1124.604633	dualbound = 3397410.581281, lowerbound=1263454.581281, norm of subgrad 36.880586	 stepsize= 1.000000 
-dualbound = 3397510.970981, lowerbound=1267249.970981, norm of subgrad 1126.271713	dualbound = 3397510.970981, lowerbound=1267249.970981, norm of subgrad 36.584009	 stepsize= 1.000000 
-dualbound = 3397583.473686, lowerbound=1262467.473686, norm of subgrad 1124.157673	dualbound = 3397583.473686, lowerbound=1262467.473686, norm of subgrad 36.544530	 stepsize= 1.000000 
-dualbound = 3397655.659707, lowerbound=1268499.659707, norm of subgrad 1126.853433	dualbound = 3397655.659707, lowerbound=1268499.659707, norm of subgrad 37.029529	 stepsize= 1.000000 
-dualbound = 3397759.868410, lowerbound=1264898.868410, norm of subgrad 1125.249247	dualbound = 3397759.868410, lowerbound=1264898.868410, norm of subgrad 37.298910	 stepsize= 1.000000 
-dualbound = 3397829.560717, lowerbound=1264317.560717, norm of subgrad 1124.976249	dualbound = 3397829.560717, lowerbound=1264317.560717, norm of subgrad 36.382582	 stepsize= 1.000000 
-dualbound = 3397903.245339, lowerbound=1266434.245339, norm of subgrad 1125.922842	dualbound = 3397903.245339, lowerbound=1266434.245339, norm of subgrad 36.629013	 stepsize= 1.000000 
-dualbound = 3398011.055917, lowerbound=1261801.055918, norm of subgrad 1123.853663	dualbound = 3398011.055917, lowerbound=1261801.055918, norm of subgrad 36.794165	 stepsize= 1.000000 
-dualbound = 3398084.911088, lowerbound=1268628.911088, norm of subgrad 1126.870849	dualbound = 3398084.911088, lowerbound=1268628.911088, norm of subgrad 35.816968	 stepsize= 1.000000 
-dualbound = 3398176.248039, lowerbound=1263806.248039, norm of subgrad 1124.775643	dualbound = 3398176.248039, lowerbound=1263806.248039, norm of subgrad 37.487824	 stepsize= 1.000000 
-dualbound = 3398222.073157, lowerbound=1268332.073157, norm of subgrad 1126.788389	dualbound = 3398222.073157, lowerbound=1268332.073157, norm of subgrad 36.957071	 stepsize= 1.000000 
-dualbound = 3398336.857955, lowerbound=1264302.857955, norm of subgrad 1124.980826	dualbound = 3398336.857955, lowerbound=1264302.857955, norm of subgrad 37.333427	 stepsize= 1.000000 
-dualbound = 3398424.642293, lowerbound=1265145.642293, norm of subgrad 1125.338901	dualbound = 3398424.642293, lowerbound=1265145.642293, norm of subgrad 36.466208	 stepsize= 1.000000 
-dualbound = 3398511.265859, lowerbound=1266677.265859, norm of subgrad 1126.022764	dualbound = 3398511.265859, lowerbound=1266677.265859, norm of subgrad 36.559863	 stepsize= 1.000000 
-dualbound = 3398573.404271, lowerbound=1265339.404271, norm of subgrad 1125.459641	dualbound = 3398573.404271, lowerbound=1265339.404271, norm of subgrad 37.177122	 stepsize= 1.000000 
-dualbound = 3398673.996655, lowerbound=1270788.996655, norm of subgrad 1127.871888	dualbound = 3398673.996655, lowerbound=1270788.996655, norm of subgrad 37.504565	 stepsize= 1.000000 
-dualbound = 3398736.369202, lowerbound=1264144.369202, norm of subgrad 1124.911716	dualbound = 3398736.369202, lowerbound=1264144.369202, norm of subgrad 36.665686	 stepsize= 1.000000 
-dualbound = 3398864.447340, lowerbound=1264228.447340, norm of subgrad 1124.904639	dualbound = 3398864.447340, lowerbound=1264228.447340, norm of subgrad 36.195002	 stepsize= 1.000000 
-dualbound = 3398945.680022, lowerbound=1268790.680022, norm of subgrad 1126.959928	dualbound = 3398945.680022, lowerbound=1268790.680022, norm of subgrad 36.458643	 stepsize= 1.000000 
-dualbound = 3399011.579102, lowerbound=1269924.579102, norm of subgrad 1127.496155	dualbound = 3399011.579102, lowerbound=1269924.579102, norm of subgrad 37.267936	 stepsize= 1.000000 
-dualbound = 3399073.729477, lowerbound=1268044.729477, norm of subgrad 1126.643568	dualbound = 3399073.729477, lowerbound=1268044.729477, norm of subgrad 36.649016	 stepsize= 1.000000 
-dualbound = 3399202.835595, lowerbound=1268386.835595, norm of subgrad 1126.798489	dualbound = 3399202.835595, lowerbound=1268386.835595, norm of subgrad 37.644470	 stepsize= 1.000000 
-dualbound = 3399281.182422, lowerbound=1267591.182422, norm of subgrad 1126.423181	dualbound = 3399281.182422, lowerbound=1267591.182422, norm of subgrad 36.281494	 stepsize= 1.000000 
-dualbound = 3399342.076393, lowerbound=1265923.076393, norm of subgrad 1125.706479	dualbound = 3399342.076393, lowerbound=1265923.076393, norm of subgrad 36.781707	 stepsize= 1.000000 
-dualbound = 3399454.392824, lowerbound=1261284.392824, norm of subgrad 1123.631787	dualbound = 3399454.392824, lowerbound=1261284.392824, norm of subgrad 37.098739	 stepsize= 1.000000 
-dualbound = 3399510.129197, lowerbound=1264671.129197, norm of subgrad 1125.131161	dualbound = 3399510.129197, lowerbound=1264671.129197, norm of subgrad 36.121135	 stepsize= 1.000000 
-dualbound = 3399623.711876, lowerbound=1270290.711876, norm of subgrad 1127.603083	dualbound = 3399623.711876, lowerbound=1270290.711876, norm of subgrad 36.215779	 stepsize= 1.000000 
-dualbound = 3399703.578959, lowerbound=1263769.578959, norm of subgrad 1124.743339	dualbound = 3399703.578959, lowerbound=1263769.578959, norm of subgrad 36.849248	 stepsize= 1.000000 
-dualbound = 3399756.191904, lowerbound=1267383.191904, norm of subgrad 1126.384567	dualbound = 3399756.191904, lowerbound=1267383.191904, norm of subgrad 37.571438	 stepsize= 1.000000 
-dualbound = 3399847.799453, lowerbound=1264814.799453, norm of subgrad 1125.203892	dualbound = 3399847.799453, lowerbound=1264814.799453, norm of subgrad 36.886414	 stepsize= 1.000000 
-dualbound = 3399917.688932, lowerbound=1268966.688932, norm of subgrad 1127.035354	dualbound = 3399917.688932, lowerbound=1268966.688932, norm of subgrad 36.220015	 stepsize= 1.000000 
-dualbound = 3400050.771675, lowerbound=1264191.771675, norm of subgrad 1124.923451	dualbound = 3400050.771675, lowerbound=1264191.771675, norm of subgrad 37.337417	 stepsize= 1.000000 
-dualbound = 3400092.237638, lowerbound=1267239.237638, norm of subgrad 1126.259401	dualbound = 3400092.237638, lowerbound=1267239.237638, norm of subgrad 35.531197	 stepsize= 1.000000 
-dualbound = 3400216.897212, lowerbound=1266215.897212, norm of subgrad 1125.807220	dualbound = 3400216.897212, lowerbound=1266215.897212, norm of subgrad 36.751321	 stepsize= 1.000000 
-dualbound = 3400276.882325, lowerbound=1268800.882325, norm of subgrad 1126.957356	dualbound = 3400276.882325, lowerbound=1268800.882325, norm of subgrad 35.944194	 stepsize= 1.000000 
-dualbound = 3400371.663117, lowerbound=1263953.663117, norm of subgrad 1124.821614	dualbound = 3400371.663117, lowerbound=1263953.663117, norm of subgrad 36.942940	 stepsize= 1.000000 
-dualbound = 3400417.114929, lowerbound=1269165.114929, norm of subgrad 1127.150884	dualbound = 3400417.114929, lowerbound=1269165.114929, norm of subgrad 36.734885	 stepsize= 1.000000 
-dualbound = 3400529.751351, lowerbound=1267737.751351, norm of subgrad 1126.497116	dualbound = 3400529.751351, lowerbound=1267737.751351, norm of subgrad 37.022107	 stepsize= 1.000000 
-dualbound = 3400621.251551, lowerbound=1268158.251551, norm of subgrad 1126.708148	dualbound = 3400621.251551, lowerbound=1268158.251551, norm of subgrad 37.476662	 stepsize= 1.000000 
-dualbound = 3400695.234002, lowerbound=1264087.234002, norm of subgrad 1124.906767	dualbound = 3400695.234002, lowerbound=1264087.234002, norm of subgrad 37.443056	 stepsize= 1.000000 
-dualbound = 3400759.174772, lowerbound=1262220.174772, norm of subgrad 1124.104610	dualbound = 3400759.174772, lowerbound=1262220.174772, norm of subgrad 38.143686	 stepsize= 1.000000 
-dualbound = 3400836.162721, lowerbound=1269860.162721, norm of subgrad 1127.447632	dualbound = 3400836.162721, lowerbound=1269860.162721, norm of subgrad 36.810161	 stepsize= 1.000000 
-dualbound = 3400963.153511, lowerbound=1263048.153511, norm of subgrad 1124.425699	dualbound = 3400963.153511, lowerbound=1263048.153511, norm of subgrad 37.576466	 stepsize= 1.000000 
-dualbound = 3401026.886924, lowerbound=1263073.886924, norm of subgrad 1124.414019	dualbound = 3401026.886924, lowerbound=1263073.886924, norm of subgrad 36.010185	 stepsize= 1.000000 
-dualbound = 3401139.723874, lowerbound=1267164.723874, norm of subgrad 1126.228540	dualbound = 3401139.723874, lowerbound=1267164.723874, norm of subgrad 36.590121	 stepsize= 1.000000 
-dualbound = 3401203.353687, lowerbound=1264865.353687, norm of subgrad 1125.228578	dualbound = 3401203.353687, lowerbound=1264865.353687, norm of subgrad 36.573622	 stepsize= 1.000000 
-dualbound = 3401268.115358, lowerbound=1267224.115358, norm of subgrad 1126.287315	dualbound = 3401268.115358, lowerbound=1267224.115358, norm of subgrad 36.929144	 stepsize= 1.000000 
-dualbound = 3401349.160149, lowerbound=1265414.160149, norm of subgrad 1125.486188	dualbound = 3401349.160149, lowerbound=1265414.160149, norm of subgrad 37.229622	 stepsize= 1.000000 
-dualbound = 3401451.499528, lowerbound=1266872.499528, norm of subgrad 1126.131209	dualbound = 3401451.499528, lowerbound=1266872.499528, norm of subgrad 37.434468	 stepsize= 1.000000 
-dualbound = 3401550.199929, lowerbound=1266386.199929, norm of subgrad 1125.902394	dualbound = 3401550.199929, lowerbound=1266386.199929, norm of subgrad 36.995951	 stepsize= 1.000000 
-dualbound = 3401609.777812, lowerbound=1264584.777812, norm of subgrad 1125.101230	dualbound = 3401609.777812, lowerbound=1264584.777812, norm of subgrad 36.435942	 stepsize= 1.000000 
-dualbound = 3401707.932012, lowerbound=1268990.932012, norm of subgrad 1127.043891	dualbound = 3401707.932012, lowerbound=1268990.932012, norm of subgrad 36.539762	 stepsize= 1.000000 
-dualbound = 3401786.086906, lowerbound=1266699.086906, norm of subgrad 1126.029790	dualbound = 3401786.086906, lowerbound=1266699.086906, norm of subgrad 36.361448	 stepsize= 1.000000 
-dualbound = 3401876.556214, lowerbound=1263871.556214, norm of subgrad 1124.772669	dualbound = 3401876.556214, lowerbound=1263871.556214, norm of subgrad 36.503004	 stepsize= 1.000000 
-dualbound = 3401978.851947, lowerbound=1267463.851947, norm of subgrad 1126.409718	dualbound = 3401978.851947, lowerbound=1267463.851947, norm of subgrad 37.911683	 stepsize= 1.000000 
-dualbound = 3402015.324892, lowerbound=1264419.324892, norm of subgrad 1125.063254	dualbound = 3402015.324892, lowerbound=1264419.324892, norm of subgrad 37.208506	 stepsize= 1.000000 
-dualbound = 3402133.127902, lowerbound=1270988.127902, norm of subgrad 1127.962822	dualbound = 3402133.127902, lowerbound=1270988.127902, norm of subgrad 37.812736	 stepsize= 1.000000 
-dualbound = 3402217.858906, lowerbound=1265448.858906, norm of subgrad 1125.483833	dualbound = 3402217.858906, lowerbound=1265448.858906, norm of subgrad 36.738685	 stepsize= 1.000000 
-dualbound = 3402312.632661, lowerbound=1270351.632661, norm of subgrad 1127.673992	dualbound = 3402312.632661, lowerbound=1270351.632661, norm of subgrad 37.306484	 stepsize= 1.000000 
-dualbound = 3402391.072744, lowerbound=1267423.072744, norm of subgrad 1126.376524	dualbound = 3402391.072744, lowerbound=1267423.072744, norm of subgrad 37.140814	 stepsize= 1.000000 
-dualbound = 3402457.347974, lowerbound=1268269.347974, norm of subgrad 1126.743692	dualbound = 3402457.347974, lowerbound=1268269.347974, norm of subgrad 36.718867	 stepsize= 1.000000 
-dualbound = 3402534.617926, lowerbound=1266106.617927, norm of subgrad 1125.763571	dualbound = 3402534.617926, lowerbound=1266106.617927, norm of subgrad 36.252861	 stepsize= 1.000000 
-dualbound = 3402633.655587, lowerbound=1269750.655587, norm of subgrad 1127.410598	dualbound = 3402633.655587, lowerbound=1269750.655587, norm of subgrad 37.457144	 stepsize= 1.000000 
-dualbound = 3402699.686272, lowerbound=1263683.686272, norm of subgrad 1124.704711	dualbound = 3402699.686272, lowerbound=1263683.686272, norm of subgrad 36.647383	 stepsize= 1.000000 
-dualbound = 3402783.766338, lowerbound=1267266.766338, norm of subgrad 1126.312464	dualbound = 3402783.766338, lowerbound=1267266.766338, norm of subgrad 37.377534	 stepsize= 1.000000 
-dualbound = 3402884.579754, lowerbound=1269292.579754, norm of subgrad 1127.183472	dualbound = 3402884.579754, lowerbound=1269292.579754, norm of subgrad 36.753414	 stepsize= 1.000000 
-dualbound = 3402952.712457, lowerbound=1265150.712457, norm of subgrad 1125.339821	dualbound = 3402952.712457, lowerbound=1265150.712457, norm of subgrad 36.154290	 stepsize= 1.000000 
-dualbound = 3403069.603761, lowerbound=1259258.603761, norm of subgrad 1122.708156	dualbound = 3403069.603761, lowerbound=1259258.603761, norm of subgrad 36.495086	 stepsize= 1.000000 
-dualbound = 3403134.492271, lowerbound=1268597.492271, norm of subgrad 1126.892405	dualbound = 3403134.492271, lowerbound=1268597.492271, norm of subgrad 36.795224	 stepsize= 1.000000 
-dualbound = 3403213.331821, lowerbound=1263189.331821, norm of subgrad 1124.473358	dualbound = 3403213.331821, lowerbound=1263189.331821, norm of subgrad 36.466965	 stepsize= 1.000000 
-dualbound = 3403303.858399, lowerbound=1267294.858399, norm of subgrad 1126.278766	dualbound = 3403303.858399, lowerbound=1267294.858399, norm of subgrad 36.048947	 stepsize= 1.000000 
-dualbound = 3403408.714543, lowerbound=1266798.714543, norm of subgrad 1126.077135	dualbound = 3403408.714543, lowerbound=1266798.714543, norm of subgrad 36.821952	 stepsize= 1.000000 
-dualbound = 3403461.250148, lowerbound=1270632.250148, norm of subgrad 1127.808162	dualbound = 3403461.250148, lowerbound=1270632.250148, norm of subgrad 37.034249	 stepsize= 1.000000 
-dualbound = 3403537.568095, lowerbound=1262230.568095, norm of subgrad 1124.069646	dualbound = 3403537.568095, lowerbound=1262230.568095, norm of subgrad 37.125705	 stepsize= 1.000000 
-dualbound = 3403645.879353, lowerbound=1267064.879353, norm of subgrad 1126.213514	dualbound = 3403645.879353, lowerbound=1267064.879353, norm of subgrad 37.420733	 stepsize= 1.000000 
-dualbound = 3403716.019622, lowerbound=1267008.019622, norm of subgrad 1126.181610	dualbound = 3403716.019622, lowerbound=1267008.019622, norm of subgrad 36.703410	 stepsize= 1.000000 
-dualbound = 3403788.120910, lowerbound=1269299.120910, norm of subgrad 1127.204117	dualbound = 3403788.120910, lowerbound=1269299.120910, norm of subgrad 36.906656	 stepsize= 1.000000 
-dualbound = 3403893.119081, lowerbound=1263874.119081, norm of subgrad 1124.796034	dualbound = 3403893.119081, lowerbound=1263874.119081, norm of subgrad 37.376439	 stepsize= 1.000000 
-dualbound = 3403965.411377, lowerbound=1269783.411377, norm of subgrad 1127.389645	dualbound = 3403965.411377, lowerbound=1269783.411377, norm of subgrad 36.004059	 stepsize= 1.000000 
-dualbound = 3404086.116703, lowerbound=1261830.116703, norm of subgrad 1123.864812	dualbound = 3404086.116703, lowerbound=1261830.116703, norm of subgrad 36.914839	 stepsize= 1.000000 
-dualbound = 3404156.590648, lowerbound=1268772.590648, norm of subgrad 1126.941254	dualbound = 3404156.590648, lowerbound=1268772.590648, norm of subgrad 35.978799	 stepsize= 1.000000 
-dualbound = 3404231.881898, lowerbound=1268979.881898, norm of subgrad 1127.040320	dualbound = 3404231.881898, lowerbound=1268979.881898, norm of subgrad 36.266944	 stepsize= 1.000000 
-dualbound = 3404312.905396, lowerbound=1266920.905396, norm of subgrad 1126.116293	dualbound = 3404312.905396, lowerbound=1266920.905396, norm of subgrad 36.028093	 stepsize= 1.000000 
-dualbound = 3404414.166885, lowerbound=1267857.166885, norm of subgrad 1126.535471	dualbound = 3404414.166885, lowerbound=1267857.166885, norm of subgrad 36.417873	 stepsize= 1.000000 
-dualbound = 3404469.705650, lowerbound=1263398.705650, norm of subgrad 1124.547334	dualbound = 3404469.705650, lowerbound=1263398.705650, norm of subgrad 35.546290	 stepsize= 1.000000 
-dualbound = 3404578.103070, lowerbound=1265884.103070, norm of subgrad 1125.650080	dualbound = 3404578.103070, lowerbound=1265884.103070, norm of subgrad 36.227026	 stepsize= 1.000000 
-dualbound = 3404664.666979, lowerbound=1264662.666979, norm of subgrad 1125.113180	dualbound = 3404664.666979, lowerbound=1264662.666979, norm of subgrad 36.104901	 stepsize= 1.000000 
-dualbound = 3404716.620637, lowerbound=1267560.620637, norm of subgrad 1126.426926	dualbound = 3404716.620637, lowerbound=1267560.620637, norm of subgrad 36.454817	 stepsize= 1.000000 
-dualbound = 3404793.495892, lowerbound=1269034.495892, norm of subgrad 1127.070315	dualbound = 3404793.495892, lowerbound=1269034.495892, norm of subgrad 36.467455	 stepsize= 1.000000 
-dualbound = 3404923.513860, lowerbound=1264997.513860, norm of subgrad 1125.265086	dualbound = 3404923.513860, lowerbound=1264997.513860, norm of subgrad 36.796983	 stepsize= 1.000000 
-dualbound = 3404967.687391, lowerbound=1268987.687391, norm of subgrad 1127.039346	dualbound = 3404967.687391, lowerbound=1268987.687391, norm of subgrad 35.695567	 stepsize= 1.000000 
-dualbound = 3405090.834045, lowerbound=1266353.834045, norm of subgrad 1125.868036	dualbound = 3405090.834045, lowerbound=1266353.834045, norm of subgrad 36.717117	 stepsize= 1.000000 
-dualbound = 3405154.175476, lowerbound=1270332.175476, norm of subgrad 1127.623685	dualbound = 3405154.175476, lowerbound=1270332.175476, norm of subgrad 35.585691	 stepsize= 1.000000 
-dualbound = 3405240.295691, lowerbound=1267011.295691, norm of subgrad 1126.175517	dualbound = 3405240.295691, lowerbound=1267011.295691, norm of subgrad 36.689511	 stepsize= 1.000000 
-dualbound = 3405320.861784, lowerbound=1269048.861784, norm of subgrad 1127.074027	dualbound = 3405320.861784, lowerbound=1269048.861784, norm of subgrad 36.435780	 stepsize= 1.000000 
-dualbound = 3405408.147739, lowerbound=1268160.147739, norm of subgrad 1126.697896	dualbound = 3405408.147739, lowerbound=1268160.147739, norm of subgrad 37.084848	 stepsize= 1.000000 
-dualbound = 3405461.885712, lowerbound=1269827.885712, norm of subgrad 1127.440413	dualbound = 3405461.885712, lowerbound=1269827.885712, norm of subgrad 36.711551	 stepsize= 1.000000 
-dualbound = 3405558.153156, lowerbound=1264494.153156, norm of subgrad 1125.090287	dualbound = 3405558.153156, lowerbound=1264494.153156, norm of subgrad 37.818877	 stepsize= 1.000000 
-dualbound = 3405623.144800, lowerbound=1265355.144800, norm of subgrad 1125.458638	dualbound = 3405623.144800, lowerbound=1265355.144800, norm of subgrad 36.972850	 stepsize= 1.000000 
-dualbound = 3405739.464812, lowerbound=1265823.464812, norm of subgrad 1125.656459	dualbound = 3405739.464812, lowerbound=1265823.464812, norm of subgrad 37.353983	 stepsize= 1.000000 
-dualbound = 3405815.653879, lowerbound=1267327.653879, norm of subgrad 1126.317297	dualbound = 3405815.653879, lowerbound=1267327.653879, norm of subgrad 36.594932	 stepsize= 1.000000 
-dualbound = 3405908.805780, lowerbound=1266779.805780, norm of subgrad 1126.070959	dualbound = 3405908.805780, lowerbound=1266779.805780, norm of subgrad 36.730803	 stepsize= 1.000000 
-dualbound = 3405974.495154, lowerbound=1261555.495154, norm of subgrad 1123.771104	dualbound = 3405974.495154, lowerbound=1261555.495154, norm of subgrad 37.036325	 stepsize= 1.000000 
-dualbound = 3406080.610509, lowerbound=1266323.610509, norm of subgrad 1125.907461	dualbound = 3406080.610509, lowerbound=1266323.610509, norm of subgrad 38.080380	 stepsize= 1.000000 
-dualbound = 3406121.022737, lowerbound=1264766.022737, norm of subgrad 1125.215989	dualbound = 3406121.022737, lowerbound=1264766.022737, norm of subgrad 37.221126	 stepsize= 1.000000 
-dualbound = 3406246.107646, lowerbound=1267063.107646, norm of subgrad 1126.201628	dualbound = 3406246.107646, lowerbound=1267063.107646, norm of subgrad 37.310654	 stepsize= 1.000000 
-dualbound = 3406319.595630, lowerbound=1265285.595630, norm of subgrad 1125.425073	dualbound = 3406319.595630, lowerbound=1265285.595630, norm of subgrad 37.006594	 stepsize= 1.000000 
-dualbound = 3406399.840746, lowerbound=1266907.840746, norm of subgrad 1126.120260	dualbound = 3406399.840746, lowerbound=1266907.840746, norm of subgrad 36.321414	 stepsize= 1.000000 
-dualbound = 3406511.882234, lowerbound=1268494.882234, norm of subgrad 1126.780761	dualbound = 3406511.882234, lowerbound=1268494.882234, norm of subgrad 35.384198	 stepsize= 1.000000 
-dualbound = 3406594.608785, lowerbound=1263298.608785, norm of subgrad 1124.504161	dualbound = 3406594.608785, lowerbound=1263298.608785, norm of subgrad 35.968410	 stepsize= 1.000000 
-dualbound = 3406673.854351, lowerbound=1264705.854351, norm of subgrad 1125.112374	dualbound = 3406673.854351, lowerbound=1264705.854351, norm of subgrad 35.372950	 stepsize= 1.000000 
-dualbound = 3406767.810719, lowerbound=1269107.810719, norm of subgrad 1127.084651	dualbound = 3406767.810719, lowerbound=1269107.810719, norm of subgrad 36.138018	 stepsize= 1.000000 
-dualbound = 3406843.390934, lowerbound=1267287.390934, norm of subgrad 1126.314073	dualbound = 3406843.390934, lowerbound=1267287.390934, norm of subgrad 37.034851	 stepsize= 1.000000 
-dualbound = 3406905.033289, lowerbound=1263966.033289, norm of subgrad 1124.811999	dualbound = 3406905.033289, lowerbound=1263966.033289, norm of subgrad 36.022803	 stepsize= 1.000000 
-dualbound = 3407002.586796, lowerbound=1272160.586796, norm of subgrad 1128.450082	dualbound = 3407002.586796, lowerbound=1272160.586796, norm of subgrad 36.558905	 stepsize= 1.000000 
-dualbound = 3407091.598822, lowerbound=1268131.598822, norm of subgrad 1126.675463	dualbound = 3407091.598822, lowerbound=1268131.598822, norm of subgrad 36.810488	 stepsize= 1.000000 
-dualbound = 3407147.640580, lowerbound=1268582.640580, norm of subgrad 1126.883597	dualbound = 3407147.640580, lowerbound=1268582.640580, norm of subgrad 36.606581	 stepsize= 1.000000 
-dualbound = 3407242.998636, lowerbound=1262705.998636, norm of subgrad 1124.251306	dualbound = 3407242.998636, lowerbound=1262705.998636, norm of subgrad 36.474074	 stepsize= 1.000000 
-dualbound = 3407359.533714, lowerbound=1269260.533714, norm of subgrad 1127.122679	dualbound = 3407359.533714, lowerbound=1269260.533714, norm of subgrad 35.518095	 stepsize= 1.000000 
-dualbound = 3407440.979794, lowerbound=1268189.979794, norm of subgrad 1126.700927	dualbound = 3407440.979794, lowerbound=1268189.979794, norm of subgrad 36.693952	 stepsize= 1.000000 
-dualbound = 3407510.633306, lowerbound=1267328.633306, norm of subgrad 1126.299531	dualbound = 3407510.633306, lowerbound=1267328.633306, norm of subgrad 35.939581	 stepsize= 1.000000 
-dualbound = 3407598.716776, lowerbound=1272040.716776, norm of subgrad 1128.396968	dualbound = 3407598.716776, lowerbound=1272040.716776, norm of subgrad 36.429157	 stepsize= 1.000000 
-dualbound = 3407683.306991, lowerbound=1264464.306991, norm of subgrad 1125.037469	dualbound = 3407683.306991, lowerbound=1264464.306991, norm of subgrad 36.463546	 stepsize= 1.000000 
-dualbound = 3407745.319582, lowerbound=1271398.319582, norm of subgrad 1128.106520	dualbound = 3407745.319582, lowerbound=1271398.319582, norm of subgrad 35.888892	 stepsize= 1.000000 
-dualbound = 3407850.541870, lowerbound=1266066.541870, norm of subgrad 1125.739997	dualbound = 3407850.541870, lowerbound=1266066.541870, norm of subgrad 36.458501	 stepsize= 1.000000 
-dualbound = 3407921.045603, lowerbound=1269102.045603, norm of subgrad 1127.095402	dualbound = 3407921.045603, lowerbound=1269102.045603, norm of subgrad 36.228493	 stepsize= 1.000000 
-dualbound = 3408016.876096, lowerbound=1269368.876096, norm of subgrad 1127.200903	dualbound = 3408016.876096, lowerbound=1269368.876096, norm of subgrad 36.177762	 stepsize= 1.000000 
-dualbound = 3408094.836783, lowerbound=1268280.836783, norm of subgrad 1126.727490	dualbound = 3408094.836783, lowerbound=1268280.836783, norm of subgrad 36.220998	 stepsize= 1.000000 
-dualbound = 3408150.648749, lowerbound=1267641.648749, norm of subgrad 1126.463337	dualbound = 3408150.648749, lowerbound=1267641.648749, norm of subgrad 36.521391	 stepsize= 1.000000 
-dualbound = 3408259.261985, lowerbound=1270748.261985, norm of subgrad 1127.823684	dualbound = 3408259.261985, lowerbound=1270748.261985, norm of subgrad 36.696229	 stepsize= 1.000000 
-dualbound = 3408345.082385, lowerbound=1261155.082385, norm of subgrad 1123.540423	dualbound = 3408345.082385, lowerbound=1261155.082385, norm of subgrad 35.690621	 stepsize= 1.000000 
-dualbound = 3408433.014205, lowerbound=1265890.014205, norm of subgrad 1125.641601	dualbound = 3408433.014205, lowerbound=1265890.014205, norm of subgrad 35.593986	 stepsize= 1.000000 
-dualbound = 3408540.143824, lowerbound=1268311.143824, norm of subgrad 1126.722301	dualbound = 3408540.143824, lowerbound=1268311.143824, norm of subgrad 36.043441	 stepsize= 1.000000 
-dualbound = 3408575.457367, lowerbound=1267864.457367, norm of subgrad 1126.548471	dualbound = 3408575.457367, lowerbound=1267864.457367, norm of subgrad 35.809406	 stepsize= 1.000000 
-dualbound = 3408678.452832, lowerbound=1266474.452832, norm of subgrad 1125.949578	dualbound = 3408678.452832, lowerbound=1266474.452832, norm of subgrad 37.296052	 stepsize= 1.000000 
-dualbound = 3408724.665321, lowerbound=1266175.665321, norm of subgrad 1125.821773	dualbound = 3408724.665321, lowerbound=1266175.665321, norm of subgrad 36.677139	 stepsize= 1.000000 
-dualbound = 3408844.465389, lowerbound=1263124.465389, norm of subgrad 1124.462301	dualbound = 3408844.465389, lowerbound=1263124.465389, norm of subgrad 37.560619	 stepsize= 1.000000 
-dualbound = 3408899.295904, lowerbound=1266654.295904, norm of subgrad 1126.047644	dualbound = 3408899.295904, lowerbound=1266654.295904, norm of subgrad 37.199873	 stepsize= 1.000000 
-dualbound = 3408999.383647, lowerbound=1268621.383647, norm of subgrad 1126.899456	dualbound = 3408999.383647, lowerbound=1268621.383647, norm of subgrad 37.162989	 stepsize= 1.000000 
-dualbound = 3409078.697793, lowerbound=1265669.697793, norm of subgrad 1125.624581	dualbound = 3409078.697793, lowerbound=1265669.697793, norm of subgrad 37.951471	 stepsize= 1.000000 
-dualbound = 3409138.584235, lowerbound=1267730.584235, norm of subgrad 1126.517458	dualbound = 3409138.584235, lowerbound=1267730.584235, norm of subgrad 37.025484	 stepsize= 1.000000 
-dualbound = 3409229.499235, lowerbound=1265904.499235, norm of subgrad 1125.712441	dualbound = 3409229.499235, lowerbound=1265904.499235, norm of subgrad 37.615356	 stepsize= 1.000000 
-dualbound = 3409333.018086, lowerbound=1267802.018086, norm of subgrad 1126.522089	dualbound = 3409333.018086, lowerbound=1267802.018086, norm of subgrad 36.790200	 stepsize= 1.000000 
-dualbound = 3409429.286521, lowerbound=1264845.286521, norm of subgrad 1125.214774	dualbound = 3409429.286521, lowerbound=1264845.286521, norm of subgrad 36.868258	 stepsize= 1.000000 
-dualbound = 3409501.882209, lowerbound=1271666.882209, norm of subgrad 1128.239284	dualbound = 3409501.882209, lowerbound=1271666.882209, norm of subgrad 36.463621	 stepsize= 1.000000 
-dualbound = 3409582.498184, lowerbound=1265910.498184, norm of subgrad 1125.671577	dualbound = 3409582.498184, lowerbound=1265910.498184, norm of subgrad 36.147143	 stepsize= 1.000000 
-dualbound = 3409694.097973, lowerbound=1268308.097973, norm of subgrad 1126.718731	dualbound = 3409694.097973, lowerbound=1268308.097973, norm of subgrad 36.036090	 stepsize= 1.000000 
-dualbound = 3409756.045637, lowerbound=1271526.045637, norm of subgrad 1128.163572	dualbound = 3409756.045637, lowerbound=1271526.045637, norm of subgrad 35.901917	 stepsize= 1.000000 
-dualbound = 3409857.713121, lowerbound=1267008.713121, norm of subgrad 1126.138852	dualbound = 3409857.713121, lowerbound=1267008.713121, norm of subgrad 35.800384	 stepsize= 1.000000 
-dualbound = 3409946.018422, lowerbound=1274389.018422, norm of subgrad 1129.416672	dualbound = 3409946.018422, lowerbound=1274389.018422, norm of subgrad 35.795325	 stepsize= 1.000000 
-dualbound = 3409990.315729, lowerbound=1267665.315729, norm of subgrad 1126.455199	dualbound = 3409990.315729, lowerbound=1267665.315729, norm of subgrad 35.781242	 stepsize= 1.000000 
-dualbound = 3410080.995662, lowerbound=1267094.995662, norm of subgrad 1126.199803	dualbound = 3410080.995662, lowerbound=1267094.995662, norm of subgrad 36.354916	 stepsize= 1.000000 
-dualbound = 3410171.218119, lowerbound=1262574.218119, norm of subgrad 1124.185580	dualbound = 3410171.218119, lowerbound=1262574.218119, norm of subgrad 36.183179	 stepsize= 1.000000 
-dualbound = 3410250.885427, lowerbound=1263141.885427, norm of subgrad 1124.432695	dualbound = 3410250.885427, lowerbound=1263141.885427, norm of subgrad 35.870145	 stepsize= 1.000000 
-dualbound = 3410351.174837, lowerbound=1263665.174837, norm of subgrad 1124.653802	dualbound = 3410351.174837, lowerbound=1263665.174837, norm of subgrad 35.795103	 stepsize= 1.000000 
-dualbound = 3410422.295531, lowerbound=1268594.295531, norm of subgrad 1126.858596	dualbound = 3410422.295531, lowerbound=1268594.295531, norm of subgrad 35.876464	 stepsize= 1.000000 
-dualbound = 3410518.756581, lowerbound=1268660.756581, norm of subgrad 1126.889860	dualbound = 3410518.756581, lowerbound=1268660.756581, norm of subgrad 36.283068	 stepsize= 1.000000 
-dualbound = 3410597.026156, lowerbound=1271233.026156, norm of subgrad 1128.034586	dualbound = 3410597.026156, lowerbound=1271233.026156, norm of subgrad 36.156183	 stepsize= 1.000000 
-dualbound = 3410687.464692, lowerbound=1268535.464692, norm of subgrad 1126.822286	dualbound = 3410687.464692, lowerbound=1268535.464692, norm of subgrad 35.825110	 stepsize= 1.000000 
-dualbound = 3410759.524514, lowerbound=1263253.524514, norm of subgrad 1124.483670	dualbound = 3410759.524514, lowerbound=1263253.524514, norm of subgrad 35.805863	 stepsize= 1.000000 
-dualbound = 3410859.252238, lowerbound=1275291.252238, norm of subgrad 1129.846119	dualbound = 3410859.252238, lowerbound=1275291.252238, norm of subgrad 36.888043	 stepsize= 1.000000 
-dualbound = 3410926.529939, lowerbound=1269353.529939, norm of subgrad 1127.186999	dualbound = 3410926.529939, lowerbound=1269353.529939, norm of subgrad 35.556683	 stepsize= 1.000000 
-dualbound = 3411037.475883, lowerbound=1270798.475883, norm of subgrad 1127.825109	dualbound = 3411037.475883, lowerbound=1270798.475883, norm of subgrad 36.082488	 stepsize= 1.000000 
-dualbound = 3411113.053169, lowerbound=1272075.053169, norm of subgrad 1128.413955	dualbound = 3411113.053169, lowerbound=1272075.053169, norm of subgrad 36.312220	 stepsize= 1.000000 
-dualbound = 3411178.728513, lowerbound=1264524.728513, norm of subgrad 1125.057211	dualbound = 3411178.728513, lowerbound=1264524.728513, norm of subgrad 35.981597	 stepsize= 1.000000 
-dualbound = 3411293.927728, lowerbound=1270995.927728, norm of subgrad 1127.933477	dualbound = 3411293.927728, lowerbound=1270995.927728, norm of subgrad 36.785856	 stepsize= 1.000000 
-dualbound = 3411334.164524, lowerbound=1264789.164524, norm of subgrad 1125.189391	dualbound = 3411334.164524, lowerbound=1264789.164524, norm of subgrad 36.086518	 stepsize= 1.000000 
-dualbound = 3411428.000685, lowerbound=1270230.000685, norm of subgrad 1127.595673	dualbound = 3411428.000685, lowerbound=1270230.000685, norm of subgrad 36.549092	 stepsize= 1.000000 
-dualbound = 3411522.989271, lowerbound=1268532.989271, norm of subgrad 1126.844261	dualbound = 3411522.989271, lowerbound=1268532.989271, norm of subgrad 36.605855	 stepsize= 1.000000 
-dualbound = 3411598.682863, lowerbound=1271802.682863, norm of subgrad 1128.287057	dualbound = 3411598.682863, lowerbound=1271802.682863, norm of subgrad 36.120543	 stepsize= 1.000000 
-dualbound = 3411680.827047, lowerbound=1263684.827047, norm of subgrad 1124.676321	dualbound = 3411680.827047, lowerbound=1263684.827047, norm of subgrad 35.974216	 stepsize= 1.000000 
-dualbound = 3411761.428293, lowerbound=1269012.428293, norm of subgrad 1127.049435	dualbound = 3411761.428293, lowerbound=1269012.428293, norm of subgrad 36.174594	 stepsize= 1.000000 
-dualbound = 3411830.873006, lowerbound=1263547.873006, norm of subgrad 1124.626548	dualbound = 3411830.873006, lowerbound=1263547.873006, norm of subgrad 36.144774	 stepsize= 1.000000 
-dualbound = 3411928.570615, lowerbound=1264525.570615, norm of subgrad 1125.037586	dualbound = 3411928.570615, lowerbound=1264525.570615, norm of subgrad 35.800805	 stepsize= 1.000000 
-dualbound = 3412029.290410, lowerbound=1266052.290410, norm of subgrad 1125.739886	dualbound = 3412029.290410, lowerbound=1266052.290410, norm of subgrad 36.588520	 stepsize= 1.000000 
-dualbound = 3412090.095430, lowerbound=1265452.095430, norm of subgrad 1125.468834	dualbound = 3412090.095430, lowerbound=1265452.095430, norm of subgrad 35.899931	 stepsize= 1.000000 
-dualbound = 3412159.026713, lowerbound=1268376.026713, norm of subgrad 1126.778162	dualbound = 3412159.026713, lowerbound=1268376.026713, norm of subgrad 36.358373	 stepsize= 1.000000 
-dualbound = 3412272.764153, lowerbound=1266105.764153, norm of subgrad 1125.720997	dualbound = 3412272.764153, lowerbound=1266105.764153, norm of subgrad 35.436386	 stepsize= 1.000000 
-dualbound = 3412343.747863, lowerbound=1271424.747863, norm of subgrad 1128.117347	dualbound = 3412343.747863, lowerbound=1271424.747863, norm of subgrad 35.985882	 stepsize= 1.000000 
-dualbound = 3412431.150081, lowerbound=1268493.150081, norm of subgrad 1126.788423	dualbound = 3412431.150081, lowerbound=1268493.150081, norm of subgrad 35.304422	 stepsize= 1.000000 
-dualbound = 3412524.155075, lowerbound=1267159.155075, norm of subgrad 1126.205201	dualbound = 3412524.155075, lowerbound=1267159.155075, norm of subgrad 35.665179	 stepsize= 1.000000 
-dualbound = 3412581.371690, lowerbound=1263682.371690, norm of subgrad 1124.694346	dualbound = 3412581.371690, lowerbound=1263682.371690, norm of subgrad 36.224531	 stepsize= 1.000000 
-dualbound = 3412658.688179, lowerbound=1271584.688179, norm of subgrad 1128.203301	dualbound = 3412658.688179, lowerbound=1271584.688179, norm of subgrad 36.541983	 stepsize= 1.000000 
-dualbound = 3412754.539977, lowerbound=1265457.539977, norm of subgrad 1125.493021	dualbound = 3412754.539977, lowerbound=1265457.539977, norm of subgrad 37.052015	 stepsize= 1.000000 
-dualbound = 3412815.637006, lowerbound=1271390.637006, norm of subgrad 1128.125719	dualbound = 3412815.637006, lowerbound=1271390.637006, norm of subgrad 36.580009	 stepsize= 1.000000 
-dualbound = 3412929.773133, lowerbound=1263235.773133, norm of subgrad 1124.490006	dualbound = 3412929.773133, lowerbound=1263235.773133, norm of subgrad 36.825754	 stepsize= 1.000000 
-dualbound = 3412986.941702, lowerbound=1267216.941702, norm of subgrad 1126.285462	dualbound = 3412986.941702, lowerbound=1267216.941702, norm of subgrad 36.866903	 stepsize= 1.000000 
-dualbound = 3413088.610997, lowerbound=1272441.610997, norm of subgrad 1128.598516	dualbound = 3413088.610997, lowerbound=1272441.610997, norm of subgrad 37.345271	 stepsize= 1.000000 
-dualbound = 3413141.407494, lowerbound=1267772.407494, norm of subgrad 1126.504952	dualbound = 3413141.407494, lowerbound=1267772.407494, norm of subgrad 35.969383	 stepsize= 1.000000 
-dualbound = 3413263.067288, lowerbound=1266340.067288, norm of subgrad 1125.843269	dualbound = 3413263.067288, lowerbound=1266340.067288, norm of subgrad 36.120075	 stepsize= 1.000000 
-dualbound = 3413340.391546, lowerbound=1274510.391546, norm of subgrad 1129.489438	dualbound = 3413340.391546, lowerbound=1274510.391546, norm of subgrad 36.239816	 stepsize= 1.000000 
-dualbound = 3413409.350668, lowerbound=1267226.350668, norm of subgrad 1126.235477	dualbound = 3413409.350668, lowerbound=1267226.350668, norm of subgrad 35.340616	 stepsize= 1.000000 
-dualbound = 3413522.813299, lowerbound=1270717.813299, norm of subgrad 1127.780481	dualbound = 3413522.813299, lowerbound=1270717.813299, norm of subgrad 35.839401	 stepsize= 1.000000 
-dualbound = 3413586.746086, lowerbound=1263563.746086, norm of subgrad 1124.623380	dualbound = 3413586.746086, lowerbound=1263563.746086, norm of subgrad 35.748186	 stepsize= 1.000000 
-dualbound = 3413672.300100, lowerbound=1269527.300100, norm of subgrad 1127.257424	dualbound = 3413672.300100, lowerbound=1269527.300100, norm of subgrad 35.602725	 stepsize= 1.000000 
-dualbound = 3413780.051656, lowerbound=1265457.051656, norm of subgrad 1125.443935	dualbound = 3413780.051656, lowerbound=1265457.051656, norm of subgrad 35.703663	 stepsize= 1.000000 
-dualbound = 3413840.835616, lowerbound=1274172.835616, norm of subgrad 1129.303695	dualbound = 3413840.835616, lowerbound=1274172.835616, norm of subgrad 34.853751	 stepsize= 1.000000 
-dualbound = 3413918.883580, lowerbound=1261387.883580, norm of subgrad 1123.666269	dualbound = 3413918.883580, lowerbound=1261387.883580, norm of subgrad 36.277375	 stepsize= 1.000000 
-dualbound = 3413982.302635, lowerbound=1270521.302635, norm of subgrad 1127.726608	dualbound = 3413982.302635, lowerbound=1270521.302635, norm of subgrad 36.185896	 stepsize= 1.000000 
-dualbound = 3414083.318855, lowerbound=1268984.318855, norm of subgrad 1127.015669	dualbound = 3414083.318855, lowerbound=1268984.318855, norm of subgrad 35.791287	 stepsize= 1.000000 
-dualbound = 3414193.046309, lowerbound=1271244.046309, norm of subgrad 1128.021297	dualbound = 3414193.046309, lowerbound=1271244.046309, norm of subgrad 36.023984	 stepsize= 1.000000 
-dualbound = 3414234.477064, lowerbound=1264487.477064, norm of subgrad 1125.051322	dualbound = 3414234.477064, lowerbound=1264487.477064, norm of subgrad 35.978198	 stepsize= 1.000000 
-dualbound = 3414321.729926, lowerbound=1266115.729926, norm of subgrad 1125.760068	dualbound = 3414321.729926, lowerbound=1266115.729926, norm of subgrad 36.155952	 stepsize= 1.000000 
-dualbound = 3414418.539085, lowerbound=1268068.539085, norm of subgrad 1126.612417	dualbound = 3414418.539085, lowerbound=1268068.539085, norm of subgrad 35.830283	 stepsize= 1.000000 
-dualbound = 3414506.856038, lowerbound=1270900.856038, norm of subgrad 1127.860300	dualbound = 3414506.856038, lowerbound=1270900.856038, norm of subgrad 35.444562	 stepsize= 1.000000 
-dualbound = 3414592.948109, lowerbound=1266060.948109, norm of subgrad 1125.762829	dualbound = 3414592.948109, lowerbound=1266060.948109, norm of subgrad 36.974208	 stepsize= 1.000000 
-dualbound = 3414627.100656, lowerbound=1270105.100656, norm of subgrad 1127.556695	dualbound = 3414627.100656, lowerbound=1270105.100656, norm of subgrad 36.237447	 stepsize= 1.000000 
-dualbound = 3414724.896346, lowerbound=1271124.896346, norm of subgrad 1128.019014	dualbound = 3414724.896346, lowerbound=1271124.896346, norm of subgrad 37.413844	 stepsize= 1.000000 
-dualbound = 3414799.935449, lowerbound=1269117.935449, norm of subgrad 1127.088255	dualbound = 3414799.935449, lowerbound=1269117.935449, norm of subgrad 35.847442	 stepsize= 1.000000 
-dualbound = 3414929.937985, lowerbound=1262919.937985, norm of subgrad 1124.328216	dualbound = 3414929.937985, lowerbound=1262919.937985, norm of subgrad 36.386846	 stepsize= 1.000000 
-dualbound = 3415007.238075, lowerbound=1265295.238075, norm of subgrad 1125.400479	dualbound = 3415007.238075, lowerbound=1265295.238075, norm of subgrad 36.170431	 stepsize= 1.000000 
-dualbound = 3415072.611699, lowerbound=1270064.611699, norm of subgrad 1127.512577	dualbound = 3415072.611699, lowerbound=1270064.611699, norm of subgrad 35.852108	 stepsize= 1.000000 
-dualbound = 3415165.524380, lowerbound=1273599.524380, norm of subgrad 1129.071089	dualbound = 3415165.524380, lowerbound=1273599.524380, norm of subgrad 35.984895	 stepsize= 1.000000 
-dualbound = 3415231.111195, lowerbound=1264572.111195, norm of subgrad 1125.065825	dualbound = 3415231.111195, lowerbound=1264572.111195, norm of subgrad 35.589139	 stepsize= 1.000000 
-dualbound = 3415309.577199, lowerbound=1266804.577199, norm of subgrad 1126.065086	dualbound = 3415309.577199, lowerbound=1266804.577199, norm of subgrad 36.006472	 stepsize= 1.000000 
-dualbound = 3415392.079588, lowerbound=1262191.079588, norm of subgrad 1124.021388	dualbound = 3415392.079588, lowerbound=1262191.079588, norm of subgrad 36.269855	 stepsize= 1.000000 
-dualbound = 3415503.323126, lowerbound=1274816.323126, norm of subgrad 1129.592990	dualbound = 3415503.323126, lowerbound=1274816.323126, norm of subgrad 35.710552	 stepsize= 1.000000 
-dualbound = 3415575.587441, lowerbound=1265800.587441, norm of subgrad 1125.616981	dualbound = 3415575.587441, lowerbound=1265800.587441, norm of subgrad 35.850583	 stepsize= 1.000000 
-dualbound = 3415650.116796, lowerbound=1271604.116796, norm of subgrad 1128.201718	dualbound = 3415650.116796, lowerbound=1271604.116796, norm of subgrad 36.187420	 stepsize= 1.000000 
-dualbound = 3415728.072868, lowerbound=1267159.072868, norm of subgrad 1126.226475	dualbound = 3415728.072868, lowerbound=1267159.072868, norm of subgrad 36.124176	 stepsize= 1.000000 
-dualbound = 3415811.177064, lowerbound=1273015.177064, norm of subgrad 1128.853036	dualbound = 3415811.177064, lowerbound=1273015.177064, norm of subgrad 37.109355	 stepsize= 1.000000 
-dualbound = 3415888.820842, lowerbound=1265951.820842, norm of subgrad 1125.683268	dualbound = 3415888.820842, lowerbound=1265951.820842, norm of subgrad 35.897685	 stepsize= 1.000000 
-dualbound = 3415992.369788, lowerbound=1274356.369788, norm of subgrad 1129.410629	dualbound = 3415992.369788, lowerbound=1274356.369788, norm of subgrad 36.270497	 stepsize= 1.000000 
-dualbound = 3416043.275337, lowerbound=1265166.275337, norm of subgrad 1125.349401	dualbound = 3416043.275337, lowerbound=1265166.275337, norm of subgrad 35.998688	 stepsize= 1.000000 
-dualbound = 3416130.582811, lowerbound=1269513.582811, norm of subgrad 1127.262872	dualbound = 3416130.582811, lowerbound=1269513.582811, norm of subgrad 35.990380	 stepsize= 1.000000 
-dualbound = 3416231.886021, lowerbound=1264334.886021, norm of subgrad 1124.981283	dualbound = 3416231.886021, lowerbound=1264334.886021, norm of subgrad 36.732863	 stepsize= 1.000000 
-dualbound = 3416289.082943, lowerbound=1274082.082943, norm of subgrad 1129.291407	dualbound = 3416289.082943, lowerbound=1274082.082943, norm of subgrad 35.695895	 stepsize= 1.000000 
-dualbound = 3416401.503865, lowerbound=1264189.503865, norm of subgrad 1124.885551	dualbound = 3416401.503865, lowerbound=1264189.503865, norm of subgrad 35.922429	 stepsize= 1.000000 
-dualbound = 3416487.321407, lowerbound=1267493.321407, norm of subgrad 1126.353995	dualbound = 3416487.321407, lowerbound=1267493.321407, norm of subgrad 35.578330	 stepsize= 1.000000 
-dualbound = 3416578.573859, lowerbound=1268156.573859, norm of subgrad 1126.659919	dualbound = 3416578.573859, lowerbound=1268156.573859, norm of subgrad 36.017391	 stepsize= 1.000000 
-dualbound = 3416639.412401, lowerbound=1269013.412401, norm of subgrad 1127.037449	dualbound = 3416639.412401, lowerbound=1269013.412401, norm of subgrad 35.508288	 stepsize= 1.000000 
-dualbound = 3416728.254653, lowerbound=1270162.254653, norm of subgrad 1127.540800	dualbound = 3416728.254653, lowerbound=1270162.254653, norm of subgrad 35.704933	 stepsize= 1.000000 
-dualbound = 3416794.610424, lowerbound=1271865.610424, norm of subgrad 1128.306966	dualbound = 3416794.610424, lowerbound=1271865.610424, norm of subgrad 35.740114	 stepsize= 1.000000 
-dualbound = 3416896.827165, lowerbound=1264851.827165, norm of subgrad 1125.202572	dualbound = 3416896.827165, lowerbound=1264851.827165, norm of subgrad 36.485843	 stepsize= 1.000000 
-dualbound = 3416975.273266, lowerbound=1269650.273266, norm of subgrad 1127.325717	dualbound = 3416975.273266, lowerbound=1269650.273266, norm of subgrad 35.936696	 stepsize= 1.000000 
-dualbound = 3417045.178761, lowerbound=1262669.178761, norm of subgrad 1124.253165	dualbound = 3417045.178761, lowerbound=1262669.178761, norm of subgrad 36.686585	 stepsize= 1.000000 
-dualbound = 3417106.569537, lowerbound=1276891.569537, norm of subgrad 1130.529774	dualbound = 3417106.569537, lowerbound=1276891.569537, norm of subgrad 35.600432	 stepsize= 1.000000 
-dualbound = 3417217.446090, lowerbound=1264579.446090, norm of subgrad 1125.064641	dualbound = 3417217.446090, lowerbound=1264579.446090, norm of subgrad 36.081526	 stepsize= 1.000000 
-dualbound = 3417274.225967, lowerbound=1270917.225967, norm of subgrad 1127.917207	dualbound = 3417274.225967, lowerbound=1270917.225967, norm of subgrad 36.562000	 stepsize= 1.000000 
-dualbound = 3417362.439109, lowerbound=1265066.439109, norm of subgrad 1125.265942	dualbound = 3417362.439109, lowerbound=1265066.439109, norm of subgrad 35.287578	 stepsize= 1.000000 
-dualbound = 3417477.510322, lowerbound=1267787.510322, norm of subgrad 1126.469933	dualbound = 3417477.510322, lowerbound=1267787.510322, norm of subgrad 35.525642	 stepsize= 1.000000 
-dualbound = 3417578.076329, lowerbound=1267946.076329, norm of subgrad 1126.552740	dualbound = 3417578.076329, lowerbound=1267946.076329, norm of subgrad 35.715067	 stepsize= 1.000000 
-dualbound = 3417614.497374, lowerbound=1275261.497374, norm of subgrad 1129.815249	dualbound = 3417614.497374, lowerbound=1275261.497374, norm of subgrad 35.460133	 stepsize= 1.000000 
-dualbound = 3417730.413433, lowerbound=1267333.413433, norm of subgrad 1126.284340	dualbound = 3417730.413433, lowerbound=1267333.413433, norm of subgrad 36.040478	 stepsize= 1.000000 
-dualbound = 3417806.658987, lowerbound=1271020.658987, norm of subgrad 1127.944883	dualbound = 3417806.658987, lowerbound=1271020.658987, norm of subgrad 36.266314	 stepsize= 1.000000 
-dualbound = 3417851.540971, lowerbound=1266160.540971, norm of subgrad 1125.811059	dualbound = 3417851.540971, lowerbound=1266160.540971, norm of subgrad 36.536037	 stepsize= 1.000000 
-dualbound = 3417947.469429, lowerbound=1277111.469429, norm of subgrad 1130.643387	dualbound = 3417947.469429, lowerbound=1277111.469429, norm of subgrad 36.591371	 stepsize= 1.000000 
-dualbound = 3418033.839528, lowerbound=1268575.839528, norm of subgrad 1126.863718	dualbound = 3418033.839528, lowerbound=1268575.839528, norm of subgrad 36.501645	 stepsize= 1.000000 
-dualbound = 3418079.957665, lowerbound=1268722.957665, norm of subgrad 1126.943636	dualbound = 3418079.957665, lowerbound=1268722.957665, norm of subgrad 36.402172	 stepsize= 1.000000 
-dualbound = 3418204.659807, lowerbound=1268159.659807, norm of subgrad 1126.695904	dualbound = 3418204.659807, lowerbound=1268159.659807, norm of subgrad 37.532681	 stepsize= 1.000000 
-dualbound = 3418251.065183, lowerbound=1273171.065183, norm of subgrad 1128.878233	dualbound = 3418251.065183, lowerbound=1273171.065183, norm of subgrad 35.233583	 stepsize= 1.000000 
-dualbound = 3418376.622438, lowerbound=1264468.622438, norm of subgrad 1125.006054	dualbound = 3418376.622438, lowerbound=1264468.622438, norm of subgrad 35.993850	 stepsize= 1.000000 
-dualbound = 3418450.961304, lowerbound=1273066.961304, norm of subgrad 1128.812190	dualbound = 3418450.961304, lowerbound=1273066.961304, norm of subgrad 34.990554	 stepsize= 1.000000 
-dualbound = 3418548.997596, lowerbound=1263047.997596, norm of subgrad 1124.408288	dualbound = 3418548.997596, lowerbound=1263047.997596, norm of subgrad 36.661101	 stepsize= 1.000000 
-dualbound = 3418598.000297, lowerbound=1272417.000297, norm of subgrad 1128.564132	dualbound = 3418598.000297, lowerbound=1272417.000297, norm of subgrad 35.902684	 stepsize= 1.000000 
-dualbound = 3418680.334213, lowerbound=1266041.334213, norm of subgrad 1125.712812	dualbound = 3418680.334213, lowerbound=1266041.334213, norm of subgrad 35.641744	 stepsize= 1.000000 
-dualbound = 3418775.990874, lowerbound=1271343.990874, norm of subgrad 1128.066927	dualbound = 3418775.990874, lowerbound=1271343.990874, norm of subgrad 35.869997	 stepsize= 1.000000 
-dualbound = 3418863.763579, lowerbound=1264794.763579, norm of subgrad 1125.157662	dualbound = 3418863.763579, lowerbound=1264794.763579, norm of subgrad 35.675940	 stepsize= 1.000000 
-dualbound = 3418960.298817, lowerbound=1268326.298817, norm of subgrad 1126.753877	dualbound = 3418960.298817, lowerbound=1268326.298817, norm of subgrad 36.667905	 stepsize= 1.000000 
-dualbound = 3418994.006238, lowerbound=1269352.006238, norm of subgrad 1127.226244	dualbound = 3418994.006238, lowerbound=1269352.006238, norm of subgrad 36.341539	 stepsize= 1.000000 
-dualbound = 3419080.622615, lowerbound=1269290.622615, norm of subgrad 1127.183935	dualbound = 3419080.622615, lowerbound=1269290.622615, norm of subgrad 36.600770	 stepsize= 1.000000 
-dualbound = 3419194.412269, lowerbound=1267442.412269, norm of subgrad 1126.366464	dualbound = 3419194.412269, lowerbound=1267442.412269, norm of subgrad 37.051176	 stepsize= 1.000000 
-dualbound = 3419264.778718, lowerbound=1273386.778718, norm of subgrad 1128.978644	dualbound = 3419264.778718, lowerbound=1273386.778718, norm of subgrad 35.726271	 stepsize= 1.000000 
-dualbound = 3419350.156710, lowerbound=1273068.156710, norm of subgrad 1128.880045	dualbound = 3419350.156710, lowerbound=1273068.156710, norm of subgrad 37.247523	 stepsize= 1.000000 
-dualbound = 3419404.851109, lowerbound=1268535.851109, norm of subgrad 1126.842425	dualbound = 3419404.851109, lowerbound=1268535.851109, norm of subgrad 35.954060	 stepsize= 1.000000 
-dualbound = 3419517.948561, lowerbound=1267054.948561, norm of subgrad 1126.180247	dualbound = 3419517.948561, lowerbound=1267054.948561, norm of subgrad 36.607342	 stepsize= 1.000000 
-dualbound = 3419571.075015, lowerbound=1275481.075015, norm of subgrad 1129.902241	dualbound = 3419571.075015, lowerbound=1275481.075015, norm of subgrad 35.371266	 stepsize= 1.000000 
-dualbound = 3419701.647876, lowerbound=1266642.647876, norm of subgrad 1125.952329	dualbound = 3419701.647876, lowerbound=1266642.647876, norm of subgrad 35.448171	 stepsize= 1.000000 
-dualbound = 3419774.361980, lowerbound=1265976.361980, norm of subgrad 1125.667074	dualbound = 3419774.361980, lowerbound=1265976.361980, norm of subgrad 34.967329	 stepsize= 1.000000 
-dualbound = 3419869.737316, lowerbound=1269206.737316, norm of subgrad 1127.113897	dualbound = 3419869.737316, lowerbound=1269206.737316, norm of subgrad 35.698394	 stepsize= 1.000000 
-dualbound = 3419905.357237, lowerbound=1267184.357237, norm of subgrad 1126.224381	dualbound = 3419905.357237, lowerbound=1267184.357237, norm of subgrad 35.108687	 stepsize= 1.000000 
-dualbound = 3420026.196295, lowerbound=1269914.196295, norm of subgrad 1127.412611	dualbound = 3420026.196295, lowerbound=1269914.196295, norm of subgrad 35.578632	 stepsize= 1.000000 
-dualbound = 3420083.757767, lowerbound=1271633.757767, norm of subgrad 1128.186491	dualbound = 3420083.757767, lowerbound=1271633.757767, norm of subgrad 35.050841	 stepsize= 1.000000 
-dualbound = 3420179.191576, lowerbound=1267075.191576, norm of subgrad 1126.183463	dualbound = 3420179.191576, lowerbound=1267075.191576, norm of subgrad 36.186100	 stepsize= 1.000000 
-dualbound = 3420242.250940, lowerbound=1273315.250940, norm of subgrad 1128.938108	dualbound = 3420242.250940, lowerbound=1273315.250940, norm of subgrad 35.342034	 stepsize= 1.000000 
-dualbound = 3420332.189667, lowerbound=1272845.189667, norm of subgrad 1128.746291	dualbound = 3420332.189667, lowerbound=1272845.189667, norm of subgrad 36.234496	 stepsize= 1.000000 
-dualbound = 3420389.014723, lowerbound=1270561.014723, norm of subgrad 1127.749535	dualbound = 3420389.014723, lowerbound=1270561.014723, norm of subgrad 36.260516	 stepsize= 1.000000 
-dualbound = 3420482.290921, lowerbound=1267551.290921, norm of subgrad 1126.396596	dualbound = 3420482.290921, lowerbound=1267551.290921, norm of subgrad 36.211548	 stepsize= 1.000000 
-dualbound = 3420583.467092, lowerbound=1267931.467092, norm of subgrad 1126.573773	dualbound = 3420583.467092, lowerbound=1267931.467092, norm of subgrad 36.581090	 stepsize= 1.000000 
-dualbound = 3420632.421173, lowerbound=1268600.421173, norm of subgrad 1126.868413	dualbound = 3420632.421173, lowerbound=1268600.421173, norm of subgrad 35.790419	 stepsize= 1.000000 
-dualbound = 3420730.400151, lowerbound=1269571.400151, norm of subgrad 1127.308920	dualbound = 3420730.400151, lowerbound=1269571.400151, norm of subgrad 36.769267	 stepsize= 1.000000 
-dualbound = 3420816.758490, lowerbound=1270244.758490, norm of subgrad 1127.577828	dualbound = 3420816.758490, lowerbound=1270244.758490, norm of subgrad 35.684147	 stepsize= 1.000000 
-dualbound = 3420900.526717, lowerbound=1265214.526717, norm of subgrad 1125.326853	dualbound = 3420900.526717, lowerbound=1265214.526717, norm of subgrad 35.068051	 stepsize= 1.000000 
-dualbound = 3420992.442974, lowerbound=1274480.442974, norm of subgrad 1129.461572	dualbound = 3420992.442974, lowerbound=1274480.442974, norm of subgrad 35.984945	 stepsize= 1.000000 
-dualbound = 3421049.394255, lowerbound=1270451.394255, norm of subgrad 1127.703593	dualbound = 3421049.394255, lowerbound=1270451.394255, norm of subgrad 36.344893	 stepsize= 1.000000 
-dualbound = 3421131.093670, lowerbound=1270782.093670, norm of subgrad 1127.814299	dualbound = 3421131.093670, lowerbound=1270782.093670, norm of subgrad 35.562613	 stepsize= 1.000000 
-dualbound = 3421222.289257, lowerbound=1267785.289257, norm of subgrad 1126.491140	dualbound = 3421222.289257, lowerbound=1267785.289257, norm of subgrad 35.891442	 stepsize= 1.000000 
-dualbound = 3421311.554945, lowerbound=1270005.554945, norm of subgrad 1127.474414	dualbound = 3421311.554945, lowerbound=1270005.554945, norm of subgrad 35.808738	 stepsize= 1.000000 
-dualbound = 3421376.674298, lowerbound=1268594.674298, norm of subgrad 1126.859652	dualbound = 3421376.674298, lowerbound=1268594.674298, norm of subgrad 35.820655	 stepsize= 1.000000 
-dualbound = 3421476.380282, lowerbound=1270145.380282, norm of subgrad 1127.536421	dualbound = 3421476.380282, lowerbound=1270145.380282, norm of subgrad 35.954221	 stepsize= 1.000000 
-dualbound = 3421521.308830, lowerbound=1272028.308830, norm of subgrad 1128.381278	dualbound = 3421521.308830, lowerbound=1272028.308830, norm of subgrad 35.509556	 stepsize= 1.000000 
-dualbound = 3421626.824366, lowerbound=1266978.824366, norm of subgrad 1126.156217	dualbound = 3421626.824366, lowerbound=1266978.824366, norm of subgrad 36.803744	 stepsize= 1.000000 
-dualbound = 3421693.229964, lowerbound=1267166.229964, norm of subgrad 1126.209674	dualbound = 3421693.229964, lowerbound=1267166.229964, norm of subgrad 35.332784	 stepsize= 1.000000 
-dualbound = 3421805.942555, lowerbound=1269437.942555, norm of subgrad 1127.216458	dualbound = 3421805.942555, lowerbound=1269437.942555, norm of subgrad 35.940403	 stepsize= 1.000000 
-dualbound = 3421857.662298, lowerbound=1268130.662298, norm of subgrad 1126.666172	dualbound = 3421857.662298, lowerbound=1268130.662298, norm of subgrad 36.023877	 stepsize= 1.000000 
-dualbound = 3421943.934264, lowerbound=1270358.934264, norm of subgrad 1127.650626	dualbound = 3421943.934264, lowerbound=1270358.934264, norm of subgrad 36.376805	 stepsize= 1.000000 
-dualbound = 3422007.090394, lowerbound=1267420.090394, norm of subgrad 1126.340575	dualbound = 3422007.090394, lowerbound=1267420.090394, norm of subgrad 35.863019	 stepsize= 1.000000 
-dualbound = 3422139.790784, lowerbound=1274173.790784, norm of subgrad 1129.307660	dualbound = 3422139.790784, lowerbound=1274173.790784, norm of subgrad 35.981945	 stepsize= 1.000000 
-dualbound = 3422207.031966, lowerbound=1265891.031966, norm of subgrad 1125.670037	dualbound = 3422207.031966, lowerbound=1265891.031966, norm of subgrad 36.183438	 stepsize= 1.000000 
-dualbound = 3422267.920423, lowerbound=1269416.920423, norm of subgrad 1127.227981	dualbound = 3422267.920423, lowerbound=1269416.920423, norm of subgrad 35.873228	 stepsize= 1.000000 
-dualbound = 3422348.880067, lowerbound=1269817.880067, norm of subgrad 1127.417793	dualbound = 3422348.880067, lowerbound=1269817.880067, norm of subgrad 36.523412	 stepsize= 1.000000 
-dualbound = 3422441.487593, lowerbound=1271181.487593, norm of subgrad 1128.024595	dualbound = 3422441.487593, lowerbound=1271181.487593, norm of subgrad 36.750613	 stepsize= 1.000000 
-dualbound = 3422499.263737, lowerbound=1271463.263737, norm of subgrad 1128.157021	dualbound = 3422499.263737, lowerbound=1271463.263737, norm of subgrad 36.507207	 stepsize= 1.000000 
-dualbound = 3422632.276411, lowerbound=1271003.276411, norm of subgrad 1127.923436	dualbound = 3422632.276411, lowerbound=1271003.276411, norm of subgrad 36.619840	 stepsize= 1.000000 
-dualbound = 3422699.513435, lowerbound=1272213.513435, norm of subgrad 1128.471760	dualbound = 3422699.513435, lowerbound=1272213.513435, norm of subgrad 36.086521	 stepsize= 1.000000 
-dualbound = 3422776.296624, lowerbound=1273393.296624, norm of subgrad 1128.996588	dualbound = 3422776.296624, lowerbound=1273393.296624, norm of subgrad 36.287507	 stepsize= 1.000000 
-dualbound = 3422852.732595, lowerbound=1269681.732595, norm of subgrad 1127.341888	dualbound = 3422852.732595, lowerbound=1269681.732595, norm of subgrad 35.978271	 stepsize= 1.000000 
-dualbound = 3422935.873279, lowerbound=1268285.873279, norm of subgrad 1126.723956	dualbound = 3422935.873279, lowerbound=1268285.873279, norm of subgrad 36.112888	 stepsize= 1.000000 
-dualbound = 3423010.243536, lowerbound=1268105.243536, norm of subgrad 1126.652228	dualbound = 3423010.243536, lowerbound=1268105.243536, norm of subgrad 36.254245	 stepsize= 1.000000 
-dualbound = 3423097.368981, lowerbound=1271007.368981, norm of subgrad 1127.912837	dualbound = 3423097.368981, lowerbound=1271007.368981, norm of subgrad 35.596706	 stepsize= 1.000000 
-dualbound = 3423182.008530, lowerbound=1265011.008530, norm of subgrad 1125.259529	dualbound = 3423182.008530, lowerbound=1265011.008530, norm of subgrad 35.813957	 stepsize= 1.000000 
-dualbound = 3423267.470394, lowerbound=1273284.470394, norm of subgrad 1128.930233	dualbound = 3423267.470394, lowerbound=1273284.470394, norm of subgrad 35.839390	 stepsize= 1.000000 
-dualbound = 3423352.737179, lowerbound=1271630.737179, norm of subgrad 1128.212629	dualbound = 3423352.737179, lowerbound=1271630.737179, norm of subgrad 36.307944	 stepsize= 1.000000 
-dualbound = 3423405.588002, lowerbound=1267721.588002, norm of subgrad 1126.481508	dualbound = 3423405.588002, lowerbound=1267721.588002, norm of subgrad 35.942326	 stepsize= 1.000000 
-dualbound = 3423489.941615, lowerbound=1268272.941615, norm of subgrad 1126.695585	dualbound = 3423489.941615, lowerbound=1268272.941615, norm of subgrad 35.416855	 stepsize= 1.000000 
-dualbound = 3423613.288152, lowerbound=1267506.288152, norm of subgrad 1126.325125	dualbound = 3423613.288152, lowerbound=1267506.288152, norm of subgrad 35.004950	 stepsize= 1.000000 
-dualbound = 3423673.406839, lowerbound=1267185.406839, norm of subgrad 1126.231507	dualbound = 3423673.406839, lowerbound=1267185.406839, norm of subgrad 35.666773	 stepsize= 1.000000 
-dualbound = 3423737.357190, lowerbound=1271903.357190, norm of subgrad 1128.342748	dualbound = 3423737.357190, lowerbound=1271903.357190, norm of subgrad 36.303586	 stepsize= 1.000000 
-dualbound = 3423799.161312, lowerbound=1266154.161312, norm of subgrad 1125.811779	dualbound = 3423799.161312, lowerbound=1266154.161312, norm of subgrad 36.875522	 stepsize= 1.000000 
-dualbound = 3423884.715616, lowerbound=1272598.715616, norm of subgrad 1128.626473	dualbound = 3423884.715616, lowerbound=1272598.715616, norm of subgrad 35.840679	 stepsize= 1.000000 
-dualbound = 3423971.560629, lowerbound=1269856.560629, norm of subgrad 1127.415877	dualbound = 3423971.560629, lowerbound=1269856.560629, norm of subgrad 36.011734	 stepsize= 1.000000 
-dualbound = 3424051.163531, lowerbound=1276438.163531, norm of subgrad 1130.324362	dualbound = 3424051.163531, lowerbound=1276438.163531, norm of subgrad 35.701581	 stepsize= 1.000000 
-dualbound = 3424134.645637, lowerbound=1271652.645637, norm of subgrad 1128.213918	dualbound = 3424134.645637, lowerbound=1271652.645637, norm of subgrad 36.020579	 stepsize= 1.000000 
-dualbound = 3424226.303702, lowerbound=1266389.303702, norm of subgrad 1125.880679	dualbound = 3424226.303702, lowerbound=1266389.303702, norm of subgrad 36.189198	 stepsize= 1.000000 
-dualbound = 3424293.968432, lowerbound=1270203.968432, norm of subgrad 1127.563288	dualbound = 3424293.968432, lowerbound=1270203.968432, norm of subgrad 35.533994	 stepsize= 1.000000 
-dualbound = 3424389.432027, lowerbound=1273124.432027, norm of subgrad 1128.878396	dualbound = 3424389.432027, lowerbound=1273124.432027, norm of subgrad 36.571349	 stepsize= 1.000000 
-dualbound = 3424429.777449, lowerbound=1272443.777449, norm of subgrad 1128.568021	dualbound = 3424429.777449, lowerbound=1272443.777449, norm of subgrad 35.529501	 stepsize= 1.000000 
-dualbound = 3424576.949341, lowerbound=1267032.949341, norm of subgrad 1126.147836	dualbound = 3424576.949341, lowerbound=1267032.949341, norm of subgrad 36.375430	 stepsize= 1.000000 
-dualbound = 3424621.652024, lowerbound=1268902.652024, norm of subgrad 1127.000289	dualbound = 3424621.652024, lowerbound=1268902.652024, norm of subgrad 35.660941	 stepsize= 1.000000 
-dualbound = 3424703.984094, lowerbound=1271597.984094, norm of subgrad 1128.177727	dualbound = 3424703.984094, lowerbound=1271597.984094, norm of subgrad 35.627687	 stepsize= 1.000000 
-dualbound = 3424765.267168, lowerbound=1266035.267168, norm of subgrad 1125.726107	dualbound = 3424765.267168, lowerbound=1266035.267168, norm of subgrad 35.850845	 stepsize= 1.000000 
-dualbound = 3424894.517871, lowerbound=1273089.517871, norm of subgrad 1128.848315	dualbound = 3424894.517871, lowerbound=1273089.517871, norm of subgrad 36.582109	 stepsize= 1.000000 
-dualbound = 3424931.065700, lowerbound=1272849.065700, norm of subgrad 1128.736934	dualbound = 3424931.065700, lowerbound=1272849.065700, norm of subgrad 35.136133	 stepsize= 1.000000 
-dualbound = 3425036.191182, lowerbound=1266383.191182, norm of subgrad 1125.874856	dualbound = 3425036.191182, lowerbound=1266383.191182, norm of subgrad 36.278444	 stepsize= 1.000000 
-dualbound = 3425091.110928, lowerbound=1268925.110928, norm of subgrad 1127.023563	dualbound = 3425091.110928, lowerbound=1268925.110928, norm of subgrad 36.220433	 stepsize= 1.000000 
-dualbound = 3425195.868614, lowerbound=1273198.868614, norm of subgrad 1128.900292	dualbound = 3425195.868614, lowerbound=1273198.868614, norm of subgrad 36.355986	 stepsize= 1.000000 
-dualbound = 3425267.357015, lowerbound=1269953.357015, norm of subgrad 1127.453927	dualbound = 3425267.357015, lowerbound=1269953.357015, norm of subgrad 35.643911	 stepsize= 1.000000 
-dualbound = 3425358.941199, lowerbound=1269289.941199, norm of subgrad 1127.160122	dualbound = 3425358.941199, lowerbound=1269289.941199, norm of subgrad 35.938617	 stepsize= 1.000000 
-dualbound = 3425435.756776, lowerbound=1262840.756776, norm of subgrad 1124.302787	dualbound = 3425435.756776, lowerbound=1262840.756776, norm of subgrad 35.955745	 stepsize= 1.000000 
-dualbound = 3425515.406237, lowerbound=1275296.406237, norm of subgrad 1129.844417	dualbound = 3425515.406237, lowerbound=1275296.406237, norm of subgrad 36.491773	 stepsize= 1.000000 
-dualbound = 3425584.918229, lowerbound=1267973.918229, norm of subgrad 1126.572198	dualbound = 3425584.918229, lowerbound=1267973.918229, norm of subgrad 35.503690	 stepsize= 1.000000 
-dualbound = 3425690.434450, lowerbound=1275650.434450, norm of subgrad 1129.956386	dualbound = 3425690.434450, lowerbound=1275650.434450, norm of subgrad 35.447373	 stepsize= 1.000000 
-dualbound = 3425777.003161, lowerbound=1271418.003161, norm of subgrad 1128.119233	dualbound = 3425777.003161, lowerbound=1271418.003161, norm of subgrad 36.353387	 stepsize= 1.000000 
-dualbound = 3425817.702998, lowerbound=1271846.702998, norm of subgrad 1128.299031	dualbound = 3425817.702998, lowerbound=1271846.702998, norm of subgrad 35.393500	 stepsize= 1.000000 
-dualbound = 3425935.610116, lowerbound=1267542.610116, norm of subgrad 1126.371435	dualbound = 3425935.610116, lowerbound=1267542.610116, norm of subgrad 35.887423	 stepsize= 1.000000 
-dualbound = 3426010.176729, lowerbound=1277517.176729, norm of subgrad 1130.779455	dualbound = 3426010.176729, lowerbound=1277517.176729, norm of subgrad 34.922294	 stepsize= 1.000000 
-dualbound = 3426100.319671, lowerbound=1270230.319671, norm of subgrad 1127.559453	dualbound = 3426100.319671, lowerbound=1270230.319671, norm of subgrad 35.357361	 stepsize= 1.000000 
-dualbound = 3426151.630435, lowerbound=1267670.630435, norm of subgrad 1126.464216	dualbound = 3426151.630435, lowerbound=1267670.630435, norm of subgrad 36.087543	 stepsize= 1.000000 
-dualbound = 3426211.478359, lowerbound=1266457.478359, norm of subgrad 1125.929606	dualbound = 3426211.478359, lowerbound=1266457.478359, norm of subgrad 36.329711	 stepsize= 1.000000 
-dualbound = 3426306.847348, lowerbound=1271262.847348, norm of subgrad 1128.061101	dualbound = 3426306.847348, lowerbound=1271262.847348, norm of subgrad 36.801753	 stepsize= 1.000000 
-dualbound = 3426399.753174, lowerbound=1268885.753174, norm of subgrad 1127.001221	dualbound = 3426399.753174, lowerbound=1268885.753174, norm of subgrad 36.591062	 stepsize= 1.000000 
-dualbound = 3426486.649880, lowerbound=1271976.649880, norm of subgrad 1128.343321	dualbound = 3426486.649880, lowerbound=1271976.649880, norm of subgrad 35.621576	 stepsize= 1.000000 
-dualbound = 3426573.530158, lowerbound=1271286.530158, norm of subgrad 1128.054755	dualbound = 3426573.530158, lowerbound=1271286.530158, norm of subgrad 36.164627	 stepsize= 1.000000 
-dualbound = 3426621.796617, lowerbound=1273220.796617, norm of subgrad 1128.943221	dualbound = 3426621.796617, lowerbound=1273220.796617, norm of subgrad 36.609650	 stepsize= 1.000000 
-dualbound = 3426718.841563, lowerbound=1268692.841563, norm of subgrad 1126.893891	dualbound = 3426718.841563, lowerbound=1268692.841563, norm of subgrad 35.972836	 stepsize= 1.000000 
-dualbound = 3426828.714826, lowerbound=1272364.714826, norm of subgrad 1128.521916	dualbound = 3426828.714826, lowerbound=1272364.714826, norm of subgrad 36.150702	 stepsize= 1.000000 
-dualbound = 3426874.511086, lowerbound=1271148.511086, norm of subgrad 1128.007319	dualbound = 3426874.511086, lowerbound=1271148.511086, norm of subgrad 36.024939	 stepsize= 1.000000 
-dualbound = 3426959.376785, lowerbound=1270840.376785, norm of subgrad 1127.876047	dualbound = 3426959.376785, lowerbound=1270840.376785, norm of subgrad 36.726907	 stepsize= 1.000000 
-dualbound = 3427035.658800, lowerbound=1269873.658800, norm of subgrad 1127.408382	dualbound = 3427035.658800, lowerbound=1269873.658800, norm of subgrad 35.387597	 stepsize= 1.000000 
-dualbound = 3427134.142890, lowerbound=1266195.142890, norm of subgrad 1125.770022	dualbound = 3427134.142890, lowerbound=1266195.142890, norm of subgrad 35.517377	 stepsize= 1.000000 
-dualbound = 3427233.681730, lowerbound=1271297.681730, norm of subgrad 1128.046401	dualbound = 3427233.681730, lowerbound=1271297.681730, norm of subgrad 35.924070	 stepsize= 1.000000 
-dualbound = 3427271.826131, lowerbound=1268454.826131, norm of subgrad 1126.810022	dualbound = 3427271.826131, lowerbound=1268454.826131, norm of subgrad 35.834961	 stepsize= 1.000000 
-dualbound = 3427358.677467, lowerbound=1271585.677467, norm of subgrad 1128.204183	dualbound = 3427358.677467, lowerbound=1271585.677467, norm of subgrad 36.685847	 stepsize= 1.000000 
-dualbound = 3427450.555756, lowerbound=1272879.555756, norm of subgrad 1128.736708	dualbound = 3427450.555756, lowerbound=1272879.555756, norm of subgrad 35.480675	 stepsize= 1.000000 
-dualbound = 3427533.302693, lowerbound=1269715.302693, norm of subgrad 1127.345246	dualbound = 3427533.302693, lowerbound=1269715.302693, norm of subgrad 35.703598	 stepsize= 1.000000 
-dualbound = 3427612.046823, lowerbound=1269888.046823, norm of subgrad 1127.428511	dualbound = 3427612.046823, lowerbound=1269888.046823, norm of subgrad 35.857274	 stepsize= 1.000000 
-dualbound = 3427694.603058, lowerbound=1272728.603058, norm of subgrad 1128.677369	dualbound = 3427694.603058, lowerbound=1272728.603058, norm of subgrad 35.588709	 stepsize= 1.000000 
-dualbound = 3427771.677593, lowerbound=1264537.677593, norm of subgrad 1125.025190	dualbound = 3427771.677593, lowerbound=1264537.677593, norm of subgrad 34.943877	 stepsize= 1.000000 
-dualbound = 3427884.243847, lowerbound=1272799.243847, norm of subgrad 1128.697587	dualbound = 3427884.243847, lowerbound=1272799.243847, norm of subgrad 35.659028	 stepsize= 1.000000 
-dualbound = 3427940.403848, lowerbound=1269238.403848, norm of subgrad 1127.124840	dualbound = 3427940.403848, lowerbound=1269238.403848, norm of subgrad 35.045114	 stepsize= 1.000000 
-dualbound = 3428044.874198, lowerbound=1271354.874198, norm of subgrad 1128.046929	dualbound = 3428044.874198, lowerbound=1271354.874198, norm of subgrad 35.206112	 stepsize= 1.000000 
-dualbound = 3428108.694587, lowerbound=1267975.694587, norm of subgrad 1126.557897	dualbound = 3428108.694587, lowerbound=1267975.694587, norm of subgrad 34.940240	 stepsize= 1.000000 
-dualbound = 3428169.842740, lowerbound=1272923.842740, norm of subgrad 1128.763413	dualbound = 3428169.842740, lowerbound=1272923.842740, norm of subgrad 35.272484	 stepsize= 1.000000 
-dualbound = 3428262.053843, lowerbound=1271947.053843, norm of subgrad 1128.341284	dualbound = 3428262.053843, lowerbound=1271947.053843, norm of subgrad 36.044571	 stepsize= 1.000000 
-dualbound = 3428339.000520, lowerbound=1274815.000520, norm of subgrad 1129.609225	dualbound = 3428339.000520, lowerbound=1274815.000520, norm of subgrad 35.762364	 stepsize= 1.000000 
-dualbound = 3428415.410109, lowerbound=1269404.410109, norm of subgrad 1127.214891	dualbound = 3428415.410109, lowerbound=1269404.410109, norm of subgrad 35.852609	 stepsize= 1.000000 
-dualbound = 3428486.458988, lowerbound=1270302.458988, norm of subgrad 1127.624254	dualbound = 3428486.458988, lowerbound=1270302.458988, norm of subgrad 36.125460	 stepsize= 1.000000 
-dualbound = 3428567.709048, lowerbound=1270834.709048, norm of subgrad 1127.856688	dualbound = 3428567.709048, lowerbound=1270834.709048, norm of subgrad 36.155913	 stepsize= 1.000000 
-dualbound = 3428649.479624, lowerbound=1268003.479624, norm of subgrad 1126.602627	dualbound = 3428649.479624, lowerbound=1268003.479624, norm of subgrad 36.218373	 stepsize= 1.000000 
-dualbound = 3428730.767340, lowerbound=1271298.767340, norm of subgrad 1128.068600	dualbound = 3428730.767340, lowerbound=1271298.767340, norm of subgrad 36.349522	 stepsize= 1.000000 
-dualbound = 3428819.965287, lowerbound=1270534.965287, norm of subgrad 1127.753947	dualbound = 3428819.965287, lowerbound=1270534.965287, norm of subgrad 37.191369	 stepsize= 1.000000 
-dualbound = 3428894.908706, lowerbound=1271845.908706, norm of subgrad 1128.295577	dualbound = 3428894.908706, lowerbound=1271845.908706, norm of subgrad 35.776297	 stepsize= 1.000000 
-dualbound = 3428986.261434, lowerbound=1265794.261434, norm of subgrad 1125.619057	dualbound = 3428986.261434, lowerbound=1265794.261434, norm of subgrad 36.267792	 stepsize= 1.000000 
-dualbound = 3429065.627738, lowerbound=1273436.627738, norm of subgrad 1128.985663	dualbound = 3429065.627738, lowerbound=1273436.627738, norm of subgrad 35.374656	 stepsize= 1.000000 
-dualbound = 3429150.958592, lowerbound=1270930.958592, norm of subgrad 1127.899357	dualbound = 3429150.958592, lowerbound=1270930.958592, norm of subgrad 36.212303	 stepsize= 1.000000 
-dualbound = 3429224.673893, lowerbound=1276823.673893, norm of subgrad 1130.520532	dualbound = 3429224.673893, lowerbound=1276823.673893, norm of subgrad 36.424103	 stepsize= 1.000000 
-dualbound = 3429293.591528, lowerbound=1267196.591528, norm of subgrad 1126.242244	dualbound = 3429293.591528, lowerbound=1267196.591528, norm of subgrad 35.971067	 stepsize= 1.000000 
-dualbound = 3429407.382926, lowerbound=1273353.382926, norm of subgrad 1128.995298	dualbound = 3429407.382926, lowerbound=1273353.382926, norm of subgrad 37.293316	 stepsize= 1.000000 
-dualbound = 3429448.948263, lowerbound=1266241.948263, norm of subgrad 1125.841440	dualbound = 3429448.948263, lowerbound=1266241.948263, norm of subgrad 36.312055	 stepsize= 1.000000 
-dualbound = 3429541.268650, lowerbound=1267626.268650, norm of subgrad 1126.417893	dualbound = 3429541.268650, lowerbound=1267626.268650, norm of subgrad 35.823461	 stepsize= 1.000000 
-dualbound = 3429636.833160, lowerbound=1272277.833160, norm of subgrad 1128.469686	dualbound = 3429636.833160, lowerbound=1272277.833160, norm of subgrad 35.518509	 stepsize= 1.000000 
-dualbound = 3429701.689705, lowerbound=1272028.689705, norm of subgrad 1128.388094	dualbound = 3429701.689705, lowerbound=1272028.689705, norm of subgrad 35.998008	 stepsize= 1.000000 
-dualbound = 3429790.928249, lowerbound=1269745.928249, norm of subgrad 1127.354393	dualbound = 3429790.928249, lowerbound=1269745.928249, norm of subgrad 35.654432	 stepsize= 1.000000 
-dualbound = 3429887.467333, lowerbound=1269875.467333, norm of subgrad 1127.400757	dualbound = 3429887.467333, lowerbound=1269875.467333, norm of subgrad 35.405354	 stepsize= 1.000000 
-dualbound = 3429956.184634, lowerbound=1265408.184634, norm of subgrad 1125.406675	dualbound = 3429956.184634, lowerbound=1265408.184634, norm of subgrad 34.651368	 stepsize= 1.000000 
-dualbound = 3430073.533951, lowerbound=1274266.533951, norm of subgrad 1129.365988	dualbound = 3430073.533951, lowerbound=1274266.533951, norm of subgrad 36.309080	 stepsize= 1.000000 
-dualbound = 3430091.546982, lowerbound=1264570.546982, norm of subgrad 1125.087795	dualbound = 3430091.546982, lowerbound=1264570.546982, norm of subgrad 35.637242	 stepsize= 1.000000 
-dualbound = 3430201.324380, lowerbound=1276003.324380, norm of subgrad 1130.117394	dualbound = 3430201.324380, lowerbound=1276003.324380, norm of subgrad 35.661988	 stepsize= 1.000000 
-dualbound = 3430288.776643, lowerbound=1268580.776643, norm of subgrad 1126.832630	dualbound = 3430288.776643, lowerbound=1268580.776643, norm of subgrad 35.474671	 stepsize= 1.000000 
-dualbound = 3430358.293203, lowerbound=1276072.293203, norm of subgrad 1130.170913	dualbound = 3430358.293203, lowerbound=1276072.293203, norm of subgrad 35.826199	 stepsize= 1.000000 
-dualbound = 3430424.966539, lowerbound=1269111.966539, norm of subgrad 1127.108676	dualbound = 3430424.966539, lowerbound=1269111.966539, norm of subgrad 36.450972	 stepsize= 1.000000 
-dualbound = 3430520.447325, lowerbound=1270190.447325, norm of subgrad 1127.572812	dualbound = 3430520.447325, lowerbound=1270190.447325, norm of subgrad 36.407153	 stepsize= 1.000000 
-dualbound = 3430609.189764, lowerbound=1269741.189764, norm of subgrad 1127.350074	dualbound = 3430609.189764, lowerbound=1269741.189764, norm of subgrad 35.577274	 stepsize= 1.000000 
-dualbound = 3430689.486225, lowerbound=1273419.486225, norm of subgrad 1128.998887	dualbound = 3430689.486225, lowerbound=1273419.486225, norm of subgrad 36.045755	 stepsize= 1.000000 
-dualbound = 3430743.675469, lowerbound=1266675.675469, norm of subgrad 1125.996748	dualbound = 3430743.675469, lowerbound=1266675.675469, norm of subgrad 35.315567	 stepsize= 1.000000 
-dualbound = 3430860.674750, lowerbound=1273754.674750, norm of subgrad 1129.141123	dualbound = 3430860.674750, lowerbound=1273754.674750, norm of subgrad 36.359308	 stepsize= 1.000000 
-dualbound = 3430907.308475, lowerbound=1270037.308475, norm of subgrad 1127.497365	dualbound = 3430907.308475, lowerbound=1270037.308475, norm of subgrad 35.491319	 stepsize= 1.000000 
-dualbound = 3430992.515918, lowerbound=1271928.515918, norm of subgrad 1128.338830	dualbound = 3430992.515918, lowerbound=1271928.515918, norm of subgrad 36.127655	 stepsize= 1.000000 
-dualbound = 3431063.885185, lowerbound=1270146.885185, norm of subgrad 1127.583649	dualbound = 3431063.885185, lowerbound=1270146.885185, norm of subgrad 37.004990	 stepsize= 1.000000 
-dualbound = 3431150.833429, lowerbound=1272365.833429, norm of subgrad 1128.538362	dualbound = 3431150.833429, lowerbound=1272365.833429, norm of subgrad 36.331092	 stepsize= 1.000000 
-dualbound = 3431240.498045, lowerbound=1272655.498045, norm of subgrad 1128.633465	dualbound = 3431240.498045, lowerbound=1272655.498045, norm of subgrad 35.322296	 stepsize= 1.000000 
-dualbound = 3431340.425570, lowerbound=1269786.425570, norm of subgrad 1127.362597	dualbound = 3431340.425570, lowerbound=1269786.425570, norm of subgrad 35.495458	 stepsize= 1.000000 
-dualbound = 3431395.045276, lowerbound=1272107.045276, norm of subgrad 1128.406418	dualbound = 3431395.045276, lowerbound=1272107.045276, norm of subgrad 35.335813	 stepsize= 1.000000 
-dualbound = 3431486.790318, lowerbound=1270159.790318, norm of subgrad 1127.551236	dualbound = 3431486.790318, lowerbound=1270159.790318, norm of subgrad 36.107410	 stepsize= 1.000000 
-dualbound = 3431551.725473, lowerbound=1269222.725473, norm of subgrad 1127.137403	dualbound = 3431551.725473, lowerbound=1269222.725473, norm of subgrad 35.790154	 stepsize= 1.000000 
-dualbound = 3431636.889009, lowerbound=1271409.889009, norm of subgrad 1128.107658	dualbound = 3431636.889009, lowerbound=1271409.889009, norm of subgrad 36.085503	 stepsize= 1.000000 
-dualbound = 3431703.540142, lowerbound=1270261.540142, norm of subgrad 1127.593251	dualbound = 3431703.540142, lowerbound=1270261.540142, norm of subgrad 35.660218	 stepsize= 1.000000 
-dualbound = 3431796.085188, lowerbound=1271702.085188, norm of subgrad 1128.246908	dualbound = 3431796.085188, lowerbound=1271702.085188, norm of subgrad 36.490342	 stepsize= 1.000000 
-dualbound = 3431858.196021, lowerbound=1268370.196021, norm of subgrad 1126.784893	dualbound = 3431858.196021, lowerbound=1268370.196021, norm of subgrad 36.552850	 stepsize= 1.000000 
-dualbound = 3431960.082205, lowerbound=1267108.082205, norm of subgrad 1126.202949	dualbound = 3431960.082205, lowerbound=1267108.082205, norm of subgrad 36.426449	 stepsize= 1.000000 
-dualbound = 3432023.719397, lowerbound=1271455.719397, norm of subgrad 1128.114675	dualbound = 3432023.719397, lowerbound=1271455.719397, norm of subgrad 35.364349	 stepsize= 1.000000 
-dualbound = 3432127.415866, lowerbound=1269295.415866, norm of subgrad 1127.163438	dualbound = 3432127.415866, lowerbound=1269295.415866, norm of subgrad 36.134422	 stepsize= 1.000000 
-dualbound = 3432189.370939, lowerbound=1269006.370939, norm of subgrad 1127.026784	dualbound = 3432189.370939, lowerbound=1269006.370939, norm of subgrad 35.283921	 stepsize= 1.000000 
-dualbound = 3432296.170773, lowerbound=1272483.170773, norm of subgrad 1128.560663	dualbound = 3432296.170773, lowerbound=1272483.170773, norm of subgrad 35.676320	 stepsize= 1.000000 
-dualbound = 3432362.962379, lowerbound=1273129.962379, norm of subgrad 1128.871987	dualbound = 3432362.962379, lowerbound=1273129.962379, norm of subgrad 35.899744	 stepsize= 1.000000 
-dualbound = 3432453.078087, lowerbound=1271646.078087, norm of subgrad 1128.194167	dualbound = 3432453.078087, lowerbound=1271646.078087, norm of subgrad 35.582520	 stepsize= 1.000000 
-dualbound = 3432509.065300, lowerbound=1273112.065300, norm of subgrad 1128.874247	dualbound = 3432509.065300, lowerbound=1273112.065300, norm of subgrad 36.069200	 stepsize= 1.000000 
-dualbound = 3432594.103835, lowerbound=1270389.103835, norm of subgrad 1127.642720	dualbound = 3432594.103835, lowerbound=1270389.103835, norm of subgrad 35.693676	 stepsize= 1.000000 
-dualbound = 3432677.236491, lowerbound=1274619.236491, norm of subgrad 1129.517701	dualbound = 3432677.236491, lowerbound=1274619.236491, norm of subgrad 35.694995	 stepsize= 1.000000 
-dualbound = 3432791.414141, lowerbound=1270660.414141, norm of subgrad 1127.742619	dualbound = 3432791.414141, lowerbound=1270660.414141, norm of subgrad 35.456701	 stepsize= 1.000000 
-dualbound = 3432862.357805, lowerbound=1270556.357805, norm of subgrad 1127.703134	dualbound = 3432862.357805, lowerbound=1270556.357805, norm of subgrad 35.056293	 stepsize= 1.000000 
-dualbound = 3432931.142607, lowerbound=1277335.142607, norm of subgrad 1130.756005	dualbound = 3432931.142607, lowerbound=1277335.142607, norm of subgrad 36.644028	 stepsize= 1.000000 
-dualbound = 3432984.547867, lowerbound=1265232.547867, norm of subgrad 1125.357076	dualbound = 3432984.547867, lowerbound=1265232.547867, norm of subgrad 35.346927	 stepsize= 1.000000 
-dualbound = 3433096.909472, lowerbound=1275405.909472, norm of subgrad 1129.872962	dualbound = 3433096.909472, lowerbound=1275405.909472, norm of subgrad 36.323018	 stepsize= 1.000000 
-dualbound = 3433153.783030, lowerbound=1270951.783030, norm of subgrad 1127.887753	dualbound = 3433153.783030, lowerbound=1270951.783030, norm of subgrad 35.154993	 stepsize= 1.000000 
-dualbound = 3433269.194229, lowerbound=1268635.194229, norm of subgrad 1126.847458	dualbound = 3433269.194229, lowerbound=1268635.194229, norm of subgrad 35.572619	 stepsize= 1.000000 
-dualbound = 3433339.359687, lowerbound=1271028.359687, norm of subgrad 1127.924359	dualbound = 3433339.359687, lowerbound=1271028.359687, norm of subgrad 35.428314	 stepsize= 1.000000 
-dualbound = 3433415.569700, lowerbound=1267150.569700, norm of subgrad 1126.200502	dualbound = 3433415.569700, lowerbound=1267150.569700, norm of subgrad 35.400706	 stepsize= 1.000000 
-dualbound = 3433484.818961, lowerbound=1270371.818961, norm of subgrad 1127.640377	dualbound = 3433484.818961, lowerbound=1270371.818961, norm of subgrad 35.640556	 stepsize= 1.000000 
-dualbound = 3433587.607323, lowerbound=1267774.607323, norm of subgrad 1126.472196	dualbound = 3433587.607323, lowerbound=1267774.607323, norm of subgrad 35.606016	 stepsize= 1.000000 
-dualbound = 3433651.585384, lowerbound=1271778.585384, norm of subgrad 1128.233391	dualbound = 3433651.585384, lowerbound=1271778.585384, norm of subgrad 34.582916	 stepsize= 1.000000 
-dualbound = 3433775.567859, lowerbound=1273547.567859, norm of subgrad 1129.046309	dualbound = 3433775.567859, lowerbound=1273547.567859, norm of subgrad 36.359077	 stepsize= 1.000000 
-dualbound = 3433814.698692, lowerbound=1271300.698692, norm of subgrad 1128.059705	dualbound = 3433814.698692, lowerbound=1271300.698692, norm of subgrad 35.456041	 stepsize= 1.000000 
-dualbound = 3433897.491141, lowerbound=1273462.491141, norm of subgrad 1129.001103	dualbound = 3433897.491141, lowerbound=1273462.491141, norm of subgrad 35.549859	 stepsize= 1.000000 
-dualbound = 3433974.615801, lowerbound=1268537.615801, norm of subgrad 1126.827234	dualbound = 3433974.615801, lowerbound=1268537.615801, norm of subgrad 35.764852	 stepsize= 1.000000 
-dualbound = 3434066.954319, lowerbound=1271247.954319, norm of subgrad 1128.038543	dualbound = 3434066.954319, lowerbound=1271247.954319, norm of subgrad 36.267596	 stepsize= 1.000000 
-dualbound = 3434111.766584, lowerbound=1269288.766584, norm of subgrad 1127.174240	dualbound = 3434111.766584, lowerbound=1269288.766584, norm of subgrad 35.746500	 stepsize= 1.000000 
-dualbound = 3434226.814570, lowerbound=1269834.814570, norm of subgrad 1127.402242	dualbound = 3434226.814570, lowerbound=1269834.814570, norm of subgrad 36.277376	 stepsize= 1.000000 
-dualbound = 3434283.870283, lowerbound=1268611.870283, norm of subgrad 1126.889023	dualbound = 3434283.870283, lowerbound=1268611.870283, norm of subgrad 36.387576	 stepsize= 1.000000 
-dualbound = 3434361.036056, lowerbound=1271036.036056, norm of subgrad 1127.948153	dualbound = 3434361.036056, lowerbound=1271036.036056, norm of subgrad 36.168574	 stepsize= 1.000000 
-dualbound = 3434426.204971, lowerbound=1272559.204971, norm of subgrad 1128.633778	dualbound = 3434426.204971, lowerbound=1272559.204971, norm of subgrad 36.334129	 stepsize= 1.000000 
-dualbound = 3434538.650381, lowerbound=1268658.650381, norm of subgrad 1126.875614	dualbound = 3434538.650381, lowerbound=1268658.650381, norm of subgrad 36.089409	 stepsize= 1.000000 
-dualbound = 3434597.138783, lowerbound=1270878.138783, norm of subgrad 1127.860869	dualbound = 3434597.138783, lowerbound=1270878.138783, norm of subgrad 35.362245	 stepsize= 1.000000 
-dualbound = 3434701.682691, lowerbound=1274232.682691, norm of subgrad 1129.347459	dualbound = 3434701.682691, lowerbound=1274232.682691, norm of subgrad 36.021437	 stepsize= 1.000000 
-dualbound = 3434751.427945, lowerbound=1270744.427945, norm of subgrad 1127.796714	dualbound = 3434751.427945, lowerbound=1270744.427945, norm of subgrad 35.081979	 stepsize= 1.000000 
-dualbound = 3434851.067866, lowerbound=1273573.067866, norm of subgrad 1129.054502	dualbound = 3434851.067866, lowerbound=1273573.067866, norm of subgrad 35.925477	 stepsize= 1.000000 
-dualbound = 3434939.293366, lowerbound=1275346.293366, norm of subgrad 1129.851447	dualbound = 3434939.293366, lowerbound=1275346.293366, norm of subgrad 36.141742	 stepsize= 1.000000 
-dualbound = 3434998.462154, lowerbound=1270973.462154, norm of subgrad 1127.911992	dualbound = 3434998.462154, lowerbound=1270973.462154, norm of subgrad 35.653454	 stepsize= 1.000000 
-dualbound = 3435078.240694, lowerbound=1272169.240694, norm of subgrad 1128.437522	dualbound = 3435078.240694, lowerbound=1272169.240694, norm of subgrad 35.801935	 stepsize= 1.000000 
-dualbound = 3435178.137134, lowerbound=1266992.137134, norm of subgrad 1126.101744	dualbound = 3435178.137134, lowerbound=1266992.137134, norm of subgrad 34.826663	 stepsize= 1.000000 
-dualbound = 3435248.733468, lowerbound=1271149.733468, norm of subgrad 1128.000768	dualbound = 3435248.733468, lowerbound=1271149.733468, norm of subgrad 36.146872	 stepsize= 1.000000 
-dualbound = 3435311.935904, lowerbound=1268517.935904, norm of subgrad 1126.824714	dualbound = 3435311.935904, lowerbound=1268517.935904, norm of subgrad 35.765940	 stepsize= 1.000000 
-dualbound = 3435400.295751, lowerbound=1273393.295751, norm of subgrad 1128.974001	dualbound = 3435400.295751, lowerbound=1273393.295751, norm of subgrad 35.740171	 stepsize= 1.000000 
-dualbound = 3435506.533693, lowerbound=1270750.533693, norm of subgrad 1127.792771	dualbound = 3435506.533693, lowerbound=1270750.533693, norm of subgrad 35.668445	 stepsize= 1.000000 
-dualbound = 3435560.462473, lowerbound=1268748.462473, norm of subgrad 1126.901266	dualbound = 3435560.462473, lowerbound=1268748.462473, norm of subgrad 34.812767	 stepsize= 1.000000 
-dualbound = 3435676.121866, lowerbound=1269605.121866, norm of subgrad 1127.250248	dualbound = 3435676.121866, lowerbound=1269605.121866, norm of subgrad 34.693795	 stepsize= 1.000000 
-dualbound = 3435753.446678, lowerbound=1270738.446678, norm of subgrad 1127.790515	dualbound = 3435753.446678, lowerbound=1270738.446678, norm of subgrad 35.359932	 stepsize= 1.000000 
-dualbound = 3435813.163997, lowerbound=1276012.163997, norm of subgrad 1130.140772	dualbound = 3435813.163997, lowerbound=1276012.163997, norm of subgrad 35.576921	 stepsize= 1.000000 
-dualbound = 3435884.093913, lowerbound=1271318.093913, norm of subgrad 1128.053232	dualbound = 3435884.093913, lowerbound=1271318.093913, norm of subgrad 35.453207	 stepsize= 1.000000 
-dualbound = 3435964.606854, lowerbound=1276156.606854, norm of subgrad 1130.200693	dualbound = 3435964.606854, lowerbound=1276156.606854, norm of subgrad 35.742313	 stepsize= 1.000000 
-dualbound = 3436052.295705, lowerbound=1269119.295705, norm of subgrad 1127.095513	dualbound = 3436052.295705, lowerbound=1269119.295705, norm of subgrad 36.231048	 stepsize= 1.000000 
-dualbound = 3436141.130997, lowerbound=1277562.130997, norm of subgrad 1130.832937	dualbound = 3436141.130997, lowerbound=1277562.130997, norm of subgrad 36.191647	 stepsize= 1.000000 
-dualbound = 3436206.409428, lowerbound=1268732.409428, norm of subgrad 1126.900355	dualbound = 3436206.409428, lowerbound=1268732.409428, norm of subgrad 35.174969	 stepsize= 1.000000 
-dualbound = 3436325.666614, lowerbound=1272946.666614, norm of subgrad 1128.764664	dualbound = 3436325.666614, lowerbound=1272946.666614, norm of subgrad 35.808619	 stepsize= 1.000000 
-dualbound = 3436375.430683, lowerbound=1267805.430683, norm of subgrad 1126.495642	dualbound = 3436375.430683, lowerbound=1267805.430683, norm of subgrad 35.167657	 stepsize= 1.000000 
-dualbound = 3436448.287719, lowerbound=1277619.287719, norm of subgrad 1130.865725	dualbound = 3436448.287719, lowerbound=1277619.287719, norm of subgrad 36.205760	 stepsize= 1.000000 
-dualbound = 3436510.713756, lowerbound=1268725.713756, norm of subgrad 1126.932435	dualbound = 3436510.713756, lowerbound=1268725.713756, norm of subgrad 36.241220	 stepsize= 1.000000 
-dualbound = 3436591.786802, lowerbound=1270952.786802, norm of subgrad 1127.888198	dualbound = 3436591.786802, lowerbound=1270952.786802, norm of subgrad 35.497508	 stepsize= 1.000000 
-dualbound = 3436701.396206, lowerbound=1266649.396206, norm of subgrad 1125.963319	dualbound = 3436701.396206, lowerbound=1266649.396206, norm of subgrad 35.406347	 stepsize= 1.000000 
-dualbound = 3436801.814397, lowerbound=1271893.814397, norm of subgrad 1128.294649	dualbound = 3436801.814397, lowerbound=1271893.814397, norm of subgrad 35.431881	 stepsize= 1.000000 
-dualbound = 3436848.227819, lowerbound=1271276.227819, norm of subgrad 1128.039107	dualbound = 3436848.227819, lowerbound=1271276.227819, norm of subgrad 35.247885	 stepsize= 1.000000 
-dualbound = 3436945.598436, lowerbound=1273886.598436, norm of subgrad 1129.186698	dualbound = 3436945.598436, lowerbound=1273886.598436, norm of subgrad 35.684319	 stepsize= 1.000000 
-dualbound = 3436995.712054, lowerbound=1267726.712055, norm of subgrad 1126.463809	dualbound = 3436995.712054, lowerbound=1267726.712055, norm of subgrad 35.271995	 stepsize= 1.000000 
-dualbound = 3437089.890947, lowerbound=1274590.890947, norm of subgrad 1129.485675	dualbound = 3437089.890947, lowerbound=1274590.890947, norm of subgrad 35.230369	 stepsize= 1.000000 
-dualbound = 3437173.130411, lowerbound=1272971.130411, norm of subgrad 1128.779930	dualbound = 3437173.130411, lowerbound=1272971.130411, norm of subgrad 35.443469	 stepsize= 1.000000 
-dualbound = 3437247.426567, lowerbound=1268770.426567, norm of subgrad 1126.924322	dualbound = 3437247.426567, lowerbound=1268770.426567, norm of subgrad 35.528807	 stepsize= 1.000000 
-dualbound = 3437305.403309, lowerbound=1267827.403309, norm of subgrad 1126.512940	dualbound = 3437305.403309, lowerbound=1267827.403309, norm of subgrad 35.524312	 stepsize= 1.000000 
-dualbound = 3437404.086732, lowerbound=1268505.086732, norm of subgrad 1126.819456	dualbound = 3437404.086732, lowerbound=1268505.086732, norm of subgrad 36.272351	 stepsize= 1.000000 
-dualbound = 3437465.456921, lowerbound=1276368.456921, norm of subgrad 1130.297951	dualbound = 3437465.456921, lowerbound=1276368.456921, norm of subgrad 35.586095	 stepsize= 1.000000 
-dualbound = 3437583.566322, lowerbound=1276382.566322, norm of subgrad 1130.276765	dualbound = 3437583.566322, lowerbound=1276382.566322, norm of subgrad 35.512102	 stepsize= 1.000000 
-dualbound = 3437619.059871, lowerbound=1273032.059871, norm of subgrad 1128.850770	dualbound = 3437619.059871, lowerbound=1273032.059871, norm of subgrad 36.159280	 stepsize= 1.000000 
-dualbound = 3437702.758691, lowerbound=1267026.758691, norm of subgrad 1126.165067	dualbound = 3437702.758691, lowerbound=1267026.758691, norm of subgrad 36.120615	 stepsize= 1.000000 
-dualbound = 3437787.271562, lowerbound=1268591.271562, norm of subgrad 1126.859029	dualbound = 3437787.271562, lowerbound=1268591.271562, norm of subgrad 36.118041	 stepsize= 1.000000 
-dualbound = 3437848.448980, lowerbound=1270689.448980, norm of subgrad 1127.803817	dualbound = 3437848.448980, lowerbound=1270689.448980, norm of subgrad 36.237790	 stepsize= 1.000000 
-dualbound = 3437938.384934, lowerbound=1270141.384934, norm of subgrad 1127.540857	dualbound = 3437938.384934, lowerbound=1270141.384934, norm of subgrad 36.012997	 stepsize= 1.000000 
-dualbound = 3438032.225102, lowerbound=1275567.225102, norm of subgrad 1129.945231	dualbound = 3438032.225102, lowerbound=1275567.225102, norm of subgrad 36.094877	 stepsize= 1.000000 
-dualbound = 3438094.211771, lowerbound=1271661.211771, norm of subgrad 1128.225692	dualbound = 3438094.211771, lowerbound=1271661.211771, norm of subgrad 35.972026	 stepsize= 1.000000 
-dualbound = 3438206.834327, lowerbound=1276909.834327, norm of subgrad 1130.540063	dualbound = 3438206.834327, lowerbound=1276909.834327, norm of subgrad 36.381624	 stepsize= 1.000000 
-dualbound = 3438254.526513, lowerbound=1265372.526513, norm of subgrad 1125.437038	dualbound = 3438254.526513, lowerbound=1265372.526513, norm of subgrad 35.828650	 stepsize= 1.000000 
-dualbound = 3438360.651295, lowerbound=1276517.651295, norm of subgrad 1130.374120	dualbound = 3438360.651295, lowerbound=1276517.651295, norm of subgrad 36.525673	 stepsize= 1.000000 
-dualbound = 3438417.612163, lowerbound=1268295.612163, norm of subgrad 1126.714965	dualbound = 3438417.612163, lowerbound=1268295.612163, norm of subgrad 35.326490	 stepsize= 1.000000 
-dualbound = 3438520.844130, lowerbound=1272555.844130, norm of subgrad 1128.595518	dualbound = 3438520.844130, lowerbound=1272555.844130, norm of subgrad 35.710390	 stepsize= 1.000000 
-dualbound = 3438580.964080, lowerbound=1269049.964080, norm of subgrad 1127.054996	dualbound = 3438580.964080, lowerbound=1269049.964080, norm of subgrad 35.540399	 stepsize= 1.000000 
-dualbound = 3438672.660984, lowerbound=1270094.660984, norm of subgrad 1127.515260	dualbound = 3438672.660984, lowerbound=1270094.660984, norm of subgrad 35.884494	 stepsize= 1.000000 
-dualbound = 3438768.440195, lowerbound=1267428.440195, norm of subgrad 1126.315871	dualbound = 3438768.440195, lowerbound=1267428.440195, norm of subgrad 35.422863	 stepsize= 1.000000 
-dualbound = 3438844.637936, lowerbound=1274973.637936, norm of subgrad 1129.656425	dualbound = 3438844.637936, lowerbound=1274973.637936, norm of subgrad 35.017106	 stepsize= 1.000000 
-dualbound = 3438911.800177, lowerbound=1266937.800177, norm of subgrad 1126.122018	dualbound = 3438911.800177, lowerbound=1266937.800177, norm of subgrad 35.779355	 stepsize= 1.000000 
-dualbound = 3438987.911612, lowerbound=1272165.911612, norm of subgrad 1128.449782	dualbound = 3438987.911612, lowerbound=1272165.911612, norm of subgrad 36.181645	 stepsize= 1.000000 
-dualbound = 3439055.443735, lowerbound=1267240.443735, norm of subgrad 1126.253721	dualbound = 3439055.443735, lowerbound=1267240.443735, norm of subgrad 35.700590	 stepsize= 1.000000 
-dualbound = 3439142.552008, lowerbound=1272430.552008, norm of subgrad 1128.564377	dualbound = 3439142.552008, lowerbound=1272430.552008, norm of subgrad 36.250631	 stepsize= 1.000000 
-dualbound = 3439233.151534, lowerbound=1270858.151534, norm of subgrad 1127.851564	dualbound = 3439233.151534, lowerbound=1270858.151534, norm of subgrad 35.799435	 stepsize= 1.000000 
-dualbound = 3439320.352401, lowerbound=1270810.352401, norm of subgrad 1127.825054	dualbound = 3439320.352401, lowerbound=1270810.352401, norm of subgrad 35.583716	 stepsize= 1.000000 
-dualbound = 3439400.484976, lowerbound=1275141.484976, norm of subgrad 1129.754613	dualbound = 3439400.484976, lowerbound=1275141.484976, norm of subgrad 35.834796	 stepsize= 1.000000 
-dualbound = 3439479.864310, lowerbound=1269834.864310, norm of subgrad 1127.398272	dualbound = 3439479.864310, lowerbound=1269834.864310, norm of subgrad 35.656407	 stepsize= 1.000000 
-dualbound = 3439552.780616, lowerbound=1271266.780616, norm of subgrad 1128.053093	dualbound = 3439552.780616, lowerbound=1271266.780616, norm of subgrad 36.192766	 stepsize= 1.000000 
-dualbound = 3439653.760090, lowerbound=1273546.760090, norm of subgrad 1129.038866	dualbound = 3439653.760090, lowerbound=1273546.760090, norm of subgrad 35.818703	 stepsize= 1.000000 
-dualbound = 3439708.541202, lowerbound=1269360.541202, norm of subgrad 1127.199867	dualbound = 3439708.541202, lowerbound=1269360.541202, norm of subgrad 35.690070	 stepsize= 1.000000 
-dualbound = 3439790.965581, lowerbound=1272802.965581, norm of subgrad 1128.725815	dualbound = 3439790.965581, lowerbound=1272802.965581, norm of subgrad 36.075260	 stepsize= 1.000000 
-dualbound = 3439867.476824, lowerbound=1267177.476824, norm of subgrad 1126.215111	dualbound = 3439867.476824, lowerbound=1267177.476824, norm of subgrad 35.489593	 stepsize= 1.000000 
-dualbound = 3439959.713378, lowerbound=1271202.713378, norm of subgrad 1128.023366	dualbound = 3439959.713378, lowerbound=1271202.713378, norm of subgrad 36.417531	 stepsize= 1.000000 
-dualbound = 3440021.621784, lowerbound=1274702.621784, norm of subgrad 1129.582499	dualbound = 3440021.621784, lowerbound=1274702.621784, norm of subgrad 36.275452	 stepsize= 1.000000 
-dualbound = 3440108.412281, lowerbound=1273160.412281, norm of subgrad 1128.884588	dualbound = 3440108.412281, lowerbound=1273160.412281, norm of subgrad 36.149557	 stepsize= 1.000000 
-dualbound = 3440193.079575, lowerbound=1272982.079575, norm of subgrad 1128.817558	dualbound = 3440193.079575, lowerbound=1272982.079575, norm of subgrad 36.492017	 stepsize= 1.000000 
-dualbound = 3440255.000294, lowerbound=1275197.000294, norm of subgrad 1129.798655	dualbound = 3440255.000294, lowerbound=1275197.000294, norm of subgrad 36.192827	 stepsize= 1.000000 
-dualbound = 3440337.433610, lowerbound=1266902.433610, norm of subgrad 1126.125408	dualbound = 3440337.433610, lowerbound=1266902.433610, norm of subgrad 36.584605	 stepsize= 1.000000 
-dualbound = 3440400.457296, lowerbound=1272724.457296, norm of subgrad 1128.675975	dualbound = 3440400.457296, lowerbound=1272724.457296, norm of subgrad 35.327379	 stepsize= 1.000000 
-dualbound = 3440503.705895, lowerbound=1270918.705895, norm of subgrad 1127.877079	dualbound = 3440503.705895, lowerbound=1270918.705895, norm of subgrad 35.933948	 stepsize= 1.000000 
-dualbound = 3440607.544150, lowerbound=1273332.544150, norm of subgrad 1128.968797	dualbound = 3440607.544150, lowerbound=1273332.544150, norm of subgrad 36.631110	 stepsize= 1.000000 
-dualbound = 3440639.659295, lowerbound=1271958.659295, norm of subgrad 1128.380990	dualbound = 3440639.659295, lowerbound=1271958.659295, norm of subgrad 36.292081	 stepsize= 1.000000 
-dualbound = 3440737.319507, lowerbound=1269416.319507, norm of subgrad 1127.207753	dualbound = 3440737.319507, lowerbound=1269416.319507, norm of subgrad 35.758359	 stepsize= 1.000000 
-dualbound = 3440821.909805, lowerbound=1273771.909805, norm of subgrad 1129.156725	dualbound = 3440821.909805, lowerbound=1273771.909805, norm of subgrad 36.160618	 stepsize= 1.000000 
-dualbound = 3440914.546468, lowerbound=1272563.546468, norm of subgrad 1128.611778	dualbound = 3440914.546468, lowerbound=1272563.546468, norm of subgrad 35.967161	 stepsize= 1.000000 
-dualbound = 3441005.153127, lowerbound=1274115.153127, norm of subgrad 1129.295423	dualbound = 3441005.153127, lowerbound=1274115.153127, norm of subgrad 35.827457	 stepsize= 1.000000 
-dualbound = 3441070.195626, lowerbound=1277915.195626, norm of subgrad 1130.967814	dualbound = 3441070.195626, lowerbound=1277915.195626, norm of subgrad 35.185828	 stepsize= 1.000000 
-dualbound = 3441146.661964, lowerbound=1269698.661964, norm of subgrad 1127.340970	dualbound = 3441146.661964, lowerbound=1269698.661964, norm of subgrad 35.713672	 stepsize= 1.000000 
-dualbound = 3441213.978439, lowerbound=1274245.978439, norm of subgrad 1129.377695	dualbound = 3441213.978439, lowerbound=1274245.978439, norm of subgrad 36.267292	 stepsize= 1.000000 
-dualbound = 3441282.929395, lowerbound=1267632.929395, norm of subgrad 1126.429727	dualbound = 3441282.929395, lowerbound=1267632.929395, norm of subgrad 35.776402	 stepsize= 1.000000 
-dualbound = 3441375.335951, lowerbound=1272031.335951, norm of subgrad 1128.387494	dualbound = 3441375.335951, lowerbound=1272031.335951, norm of subgrad 36.323636	 stepsize= 1.000000 
-dualbound = 3441452.434009, lowerbound=1271480.434009, norm of subgrad 1128.141584	dualbound = 3441452.434009, lowerbound=1271480.434009, norm of subgrad 36.056873	 stepsize= 1.000000 
-dualbound = 3441553.630632, lowerbound=1271362.630632, norm of subgrad 1128.072972	dualbound = 3441553.630632, lowerbound=1271362.630632, norm of subgrad 35.877523	 stepsize= 1.000000 
-dualbound = 3441612.548188, lowerbound=1267878.548188, norm of subgrad 1126.521881	dualbound = 3441612.548188, lowerbound=1267878.548188, norm of subgrad 35.098683	 stepsize= 1.000000 
-dualbound = 3441702.820863, lowerbound=1273479.820863, norm of subgrad 1128.996378	dualbound = 3441702.820863, lowerbound=1273479.820863, norm of subgrad 35.260072	 stepsize= 1.000000 
-dualbound = 3441780.823285, lowerbound=1270497.823285, norm of subgrad 1127.700680	dualbound = 3441780.823285, lowerbound=1270497.823285, norm of subgrad 35.902680	 stepsize= 1.000000 
-dualbound = 3441859.248748, lowerbound=1271028.248748, norm of subgrad 1127.927856	dualbound = 3441859.248748, lowerbound=1271028.248748, norm of subgrad 35.657053	 stepsize= 1.000000 
-dualbound = 3441928.332975, lowerbound=1266840.332975, norm of subgrad 1126.069417	dualbound = 3441928.332975, lowerbound=1266840.332975, norm of subgrad 35.511748	 stepsize= 1.000000 
-dualbound = 3442032.669728, lowerbound=1270665.669728, norm of subgrad 1127.788398	dualbound = 3442032.669728, lowerbound=1270665.669728, norm of subgrad 36.678832	 stepsize= 1.000000 
-dualbound = 3442075.989526, lowerbound=1268332.989526, norm of subgrad 1126.751965	dualbound = 3442075.989526, lowerbound=1268332.989526, norm of subgrad 35.781557	 stepsize= 1.000000 
-dualbound = 3442187.079663, lowerbound=1278042.079663, norm of subgrad 1131.048664	dualbound = 3442187.079663, lowerbound=1278042.079663, norm of subgrad 36.607242	 stepsize= 1.000000 
-dualbound = 3442254.112163, lowerbound=1267509.112163, norm of subgrad 1126.357897	dualbound = 3442254.112163, lowerbound=1267509.112163, norm of subgrad 35.214095	 stepsize= 1.000000 
-dualbound = 3442358.448630, lowerbound=1277261.448630, norm of subgrad 1130.661509	dualbound = 3442358.448630, lowerbound=1277261.448630, norm of subgrad 35.190005	 stepsize= 1.000000 
-dualbound = 3442441.237997, lowerbound=1262806.237997, norm of subgrad 1124.255415	dualbound = 3442441.237997, lowerbound=1262806.237997, norm of subgrad 35.025553	 stepsize= 1.000000 
-dualbound = 3442519.716926, lowerbound=1280071.716926, norm of subgrad 1131.946870	dualbound = 3442519.716926, lowerbound=1280071.716926, norm of subgrad 36.200538	 stepsize= 1.000000 
-dualbound = 3442570.489111, lowerbound=1267815.489111, norm of subgrad 1126.525849	dualbound = 3442570.489111, lowerbound=1267815.489111, norm of subgrad 35.996836	 stepsize= 1.000000 
-dualbound = 3442672.907033, lowerbound=1272451.907033, norm of subgrad 1128.549470	dualbound = 3442672.907033, lowerbound=1272451.907033, norm of subgrad 35.698990	 stepsize= 1.000000 
-dualbound = 3442731.455510, lowerbound=1270613.455510, norm of subgrad 1127.723129	dualbound = 3442731.455510, lowerbound=1270613.455510, norm of subgrad 34.706606	 stepsize= 1.000000 
-dualbound = 3442851.558607, lowerbound=1272654.558607, norm of subgrad 1128.637922	dualbound = 3442851.558607, lowerbound=1272654.558607, norm of subgrad 35.904082	 stepsize= 1.000000 
-dualbound = 3442909.276658, lowerbound=1268369.276658, norm of subgrad 1126.753423	dualbound = 3442909.276658, lowerbound=1268369.276658, norm of subgrad 35.520671	 stepsize= 1.000000 
-dualbound = 3442992.367413, lowerbound=1272746.367413, norm of subgrad 1128.731309	dualbound = 3442992.367413, lowerbound=1272746.367413, norm of subgrad 37.028243	 stepsize= 1.000000 
-dualbound = 3443023.111671, lowerbound=1268317.111671, norm of subgrad 1126.748912	dualbound = 3443023.111671, lowerbound=1268317.111671, norm of subgrad 35.731558	 stepsize= 1.000000 
-dualbound = 3443131.674523, lowerbound=1274063.674523, norm of subgrad 1129.267760	dualbound = 3443131.674523, lowerbound=1274063.674523, norm of subgrad 35.924405	 stepsize= 1.000000 
-dualbound = 3443217.848641, lowerbound=1275285.848641, norm of subgrad 1129.814520	dualbound = 3443217.848641, lowerbound=1275285.848641, norm of subgrad 35.793493	 stepsize= 1.000000 
-dualbound = 3443299.552634, lowerbound=1278520.552634, norm of subgrad 1131.246018	dualbound = 3443299.552634, lowerbound=1278520.552634, norm of subgrad 35.758971	 stepsize= 1.000000 
-dualbound = 3443381.335895, lowerbound=1264836.335895, norm of subgrad 1125.195688	dualbound = 3443381.335895, lowerbound=1264836.335895, norm of subgrad 36.204741	 stepsize= 1.000000 
-dualbound = 3443451.916893, lowerbound=1270921.916893, norm of subgrad 1127.867863	dualbound = 3443451.916893, lowerbound=1270921.916893, norm of subgrad 35.136605	 stepsize= 1.000000 
-dualbound = 3443543.982574, lowerbound=1272778.982574, norm of subgrad 1128.705445	dualbound = 3443543.982574, lowerbound=1272778.982574, norm of subgrad 35.903561	 stepsize= 1.000000 
-dualbound = 3443618.122106, lowerbound=1276892.122106, norm of subgrad 1130.519404	dualbound = 3443618.122106, lowerbound=1276892.122106, norm of subgrad 35.442059	 stepsize= 1.000000 
-dualbound = 3443706.073459, lowerbound=1270888.073459, norm of subgrad 1127.863056	dualbound = 3443706.073459, lowerbound=1270888.073459, norm of subgrad 35.706461	 stepsize= 1.000000 
-dualbound = 3443768.923495, lowerbound=1273577.923495, norm of subgrad 1129.048681	dualbound = 3443768.923495, lowerbound=1273577.923495, norm of subgrad 35.154659	 stepsize= 1.000000 
-dualbound = 3443849.025287, lowerbound=1268338.025287, norm of subgrad 1126.746655	dualbound = 3443849.025287, lowerbound=1268338.025287, norm of subgrad 36.056924	 stepsize= 1.000000 
-dualbound = 3443910.266758, lowerbound=1274254.266758, norm of subgrad 1129.363213	dualbound = 3443910.266758, lowerbound=1274254.266758, norm of subgrad 35.612378	 stepsize= 1.000000 
-dualbound = 3444007.086038, lowerbound=1269255.086038, norm of subgrad 1127.149984	dualbound = 3444007.086038, lowerbound=1269255.086038, norm of subgrad 36.177607	 stepsize= 1.000000 
-dualbound = 3444066.769176, lowerbound=1271117.769176, norm of subgrad 1127.989703	dualbound = 3444066.769176, lowerbound=1271117.769176, norm of subgrad 36.092702	 stepsize= 1.000000 
-dualbound = 3444157.632211, lowerbound=1271654.632211, norm of subgrad 1128.220117	dualbound = 3444157.632211, lowerbound=1271654.632211, norm of subgrad 36.288608	 stepsize= 1.000000 
-dualbound = 3444232.006586, lowerbound=1275802.006586, norm of subgrad 1130.039825	dualbound = 3444232.006586, lowerbound=1275802.006586, norm of subgrad 35.529908	 stepsize= 1.000000 
-dualbound = 3444337.130829, lowerbound=1267572.130829, norm of subgrad 1126.402739	dualbound = 3444337.130829, lowerbound=1267572.130829, norm of subgrad 36.278427	 stepsize= 1.000000 
-dualbound = 3444420.630562, lowerbound=1274422.630562, norm of subgrad 1129.438192	dualbound = 3444420.630562, lowerbound=1274422.630562, norm of subgrad 35.937442	 stepsize= 1.000000 
-dualbound = 3444477.822411, lowerbound=1271595.822411, norm of subgrad 1128.190508	dualbound = 3444477.822411, lowerbound=1271595.822411, norm of subgrad 35.709828	 stepsize= 1.000000 
-dualbound = 3444538.440101, lowerbound=1274360.440101, norm of subgrad 1129.425713	dualbound = 3444538.440101, lowerbound=1274360.440101, norm of subgrad 36.091795	 stepsize= 1.000000 
-dualbound = 3444626.127912, lowerbound=1266340.127912, norm of subgrad 1125.845517	dualbound = 3444626.127912, lowerbound=1266340.127912, norm of subgrad 35.716772	 stepsize= 1.000000 
-dualbound = 3444730.626949, lowerbound=1275545.626949, norm of subgrad 1129.951161	dualbound = 3444730.626949, lowerbound=1275545.626949, norm of subgrad 36.721915	 stepsize= 1.000000 
-dualbound = 3444787.725329, lowerbound=1270667.725329, norm of subgrad 1127.784875	dualbound = 3444787.725329, lowerbound=1270667.725329, norm of subgrad 35.890087	 stepsize= 1.000000 
-dualbound = 3444874.709124, lowerbound=1278052.709124, norm of subgrad 1131.079886	dualbound = 3444874.709124, lowerbound=1278052.709124, norm of subgrad 37.094256	 stepsize= 1.000000 
-dualbound = 3444935.800396, lowerbound=1266498.800396, norm of subgrad 1125.952841	dualbound = 3444935.800396, lowerbound=1266498.800396, norm of subgrad 36.497826	 stepsize= 1.000000 
-dualbound = 3445041.677890, lowerbound=1273783.677890, norm of subgrad 1129.136253	dualbound = 3445041.677890, lowerbound=1273783.677890, norm of subgrad 35.649369	 stepsize= 1.000000 
-dualbound = 3445133.910598, lowerbound=1269711.910598, norm of subgrad 1127.331766	dualbound = 3445133.910598, lowerbound=1269711.910598, norm of subgrad 35.457477	 stepsize= 1.000000 
-dualbound = 3445194.179124, lowerbound=1273573.179124, norm of subgrad 1129.054551	dualbound = 3445194.179124, lowerbound=1273573.179124, norm of subgrad 35.373274	 stepsize= 1.000000 
-dualbound = 3445275.300250, lowerbound=1272568.300250, norm of subgrad 1128.603695	dualbound = 3445275.300250, lowerbound=1272568.300250, norm of subgrad 35.484097	 stepsize= 1.000000 
-dualbound = 3445358.767318, lowerbound=1271923.767318, norm of subgrad 1128.313240	dualbound = 3445358.767318, lowerbound=1271923.767318, norm of subgrad 35.361944	 stepsize= 1.000000 
-dualbound = 3445432.451153, lowerbound=1272488.451153, norm of subgrad 1128.566547	dualbound = 3445432.451153, lowerbound=1272488.451153, norm of subgrad 35.322568	 stepsize= 1.000000 
-dualbound = 3445504.371639, lowerbound=1275230.371639, norm of subgrad 1129.796164	dualbound = 3445504.371639, lowerbound=1275230.371639, norm of subgrad 35.789950	 stepsize= 1.000000 
-dualbound = 3445577.600488, lowerbound=1271683.600488, norm of subgrad 1128.205035	dualbound = 3445577.600488, lowerbound=1271683.600488, norm of subgrad 35.160046	 stepsize= 1.000000 
-dualbound = 3445650.475977, lowerbound=1269615.475977, norm of subgrad 1127.309397	dualbound = 3445650.475977, lowerbound=1269615.475977, norm of subgrad 35.831208	 stepsize= 1.000000 
-dualbound = 3445745.687781, lowerbound=1269897.687781, norm of subgrad 1127.418151	dualbound = 3445745.687781, lowerbound=1269897.687781, norm of subgrad 35.625999	 stepsize= 1.000000 
-dualbound = 3445828.016909, lowerbound=1272944.016909, norm of subgrad 1128.788739	dualbound = 3445828.016909, lowerbound=1272944.016909, norm of subgrad 36.087797	 stepsize= 1.000000 
-dualbound = 3445908.961179, lowerbound=1268172.961179, norm of subgrad 1126.663198	dualbound = 3445908.961179, lowerbound=1268172.961179, norm of subgrad 35.748346	 stepsize= 1.000000 
-dualbound = 3445963.927798, lowerbound=1276136.927798, norm of subgrad 1130.198623	dualbound = 3445963.927798, lowerbound=1276136.927798, norm of subgrad 35.594475	 stepsize= 1.000000 
-dualbound = 3446056.519730, lowerbound=1269310.519730, norm of subgrad 1127.204737	dualbound = 3446056.519730, lowerbound=1269310.519730, norm of subgrad 37.048508	 stepsize= 1.000000 
-dualbound = 3446106.338053, lowerbound=1273750.338053, norm of subgrad 1129.138759	dualbound = 3446106.338053, lowerbound=1273750.338053, norm of subgrad 35.409297	 stepsize= 1.000000 
-dualbound = 3446248.546454, lowerbound=1268814.546454, norm of subgrad 1126.921713	dualbound = 3446248.546454, lowerbound=1268814.546454, norm of subgrad 35.780000	 stepsize= 1.000000 
-dualbound = 3446318.969468, lowerbound=1272044.969468, norm of subgrad 1128.375810	dualbound = 3446318.969468, lowerbound=1272044.969468, norm of subgrad 35.460161	 stepsize= 1.000000 
-dualbound = 3446375.925757, lowerbound=1273280.925757, norm of subgrad 1128.943278	dualbound = 3446375.925757, lowerbound=1273280.925757, norm of subgrad 35.902037	 stepsize= 1.000000 
-dualbound = 3446446.585687, lowerbound=1272142.585687, norm of subgrad 1128.432801	dualbound = 3446446.585687, lowerbound=1272142.585687, norm of subgrad 35.897910	 stepsize= 1.000000 
-dualbound = 3446532.222545, lowerbound=1271300.222545, norm of subgrad 1128.060824	dualbound = 3446532.222545, lowerbound=1271300.222545, norm of subgrad 36.147432	 stepsize= 1.000000 
-dualbound = 3446620.198882, lowerbound=1272479.198882, norm of subgrad 1128.549157	dualbound = 3446620.198882, lowerbound=1272479.198882, norm of subgrad 35.099520	 stepsize= 1.000000 
-dualbound = 3446714.148558, lowerbound=1270412.148558, norm of subgrad 1127.639193	dualbound = 3446714.148558, lowerbound=1270412.148558, norm of subgrad 35.382901	 stepsize= 1.000000 
-dualbound = 3446788.325786, lowerbound=1270722.325786, norm of subgrad 1127.786472	dualbound = 3446788.325786, lowerbound=1270722.325786, norm of subgrad 35.414365	 stepsize= 1.000000 
-dualbound = 3446868.919239, lowerbound=1273233.919239, norm of subgrad 1128.901200	dualbound = 3446868.919239, lowerbound=1273233.919239, norm of subgrad 35.561123	 stepsize= 1.000000 
-dualbound = 3446947.107684, lowerbound=1274436.107684, norm of subgrad 1129.443273	dualbound = 3446947.107684, lowerbound=1274436.107684, norm of subgrad 35.835575	 stepsize= 1.000000 
-dualbound = 3447002.509028, lowerbound=1273844.509028, norm of subgrad 1129.172046	dualbound = 3447002.509028, lowerbound=1273844.509028, norm of subgrad 35.219332	 stepsize= 1.000000 
-dualbound = 3447096.605111, lowerbound=1269814.605111, norm of subgrad 1127.397270	dualbound = 3447096.605111, lowerbound=1269814.605111, norm of subgrad 36.112271	 stepsize= 1.000000 
-dualbound = 3447164.126095, lowerbound=1274685.126095, norm of subgrad 1129.545982	dualbound = 3447164.126095, lowerbound=1274685.126095, norm of subgrad 35.447440	 stepsize= 1.000000 
-dualbound = 3447253.267706, lowerbound=1268619.267706, norm of subgrad 1126.867902	dualbound = 3447253.267706, lowerbound=1268619.267706, norm of subgrad 36.071341	 stepsize= 1.000000 
-dualbound = 3447330.901368, lowerbound=1273260.901368, norm of subgrad 1128.933081	dualbound = 3447330.901368, lowerbound=1273260.901368, norm of subgrad 36.147388	 stepsize= 1.000000 
-dualbound = 3447401.318775, lowerbound=1270934.318775, norm of subgrad 1127.885331	dualbound = 3447401.318775, lowerbound=1270934.318775, norm of subgrad 35.516439	 stepsize= 1.000000 
-dualbound = 3447493.016771, lowerbound=1272426.016771, norm of subgrad 1128.542873	dualbound = 3447493.016771, lowerbound=1272426.016771, norm of subgrad 35.702913	 stepsize= 1.000000 
-dualbound = 3447581.423583, lowerbound=1279517.423583, norm of subgrad 1131.696259	dualbound = 3447581.423583, lowerbound=1279517.423583, norm of subgrad 36.158081	 stepsize= 1.000000 
-dualbound = 3447641.371666, lowerbound=1267778.371666, norm of subgrad 1126.513813	dualbound = 3447641.371666, lowerbound=1267778.371666, norm of subgrad 36.262213	 stepsize= 1.000000 
-dualbound = 3447747.348519, lowerbound=1275296.348519, norm of subgrad 1129.807660	dualbound = 3447747.348519, lowerbound=1275296.348519, norm of subgrad 35.706818	 stepsize= 1.000000 
-dualbound = 3447802.535022, lowerbound=1269036.535022, norm of subgrad 1127.058355	dualbound = 3447802.535022, lowerbound=1269036.535022, norm of subgrad 35.765717	 stepsize= 1.000000 
-dualbound = 3447881.380263, lowerbound=1270713.380263, norm of subgrad 1127.784722	dualbound = 3447881.380263, lowerbound=1270713.380263, norm of subgrad 35.550601	 stepsize= 1.000000 
-dualbound = 3447960.961383, lowerbound=1273701.961383, norm of subgrad 1129.110252	dualbound = 3447960.961383, lowerbound=1273701.961383, norm of subgrad 35.603105	 stepsize= 1.000000 
-dualbound = 3448050.572100, lowerbound=1271635.572100, norm of subgrad 1128.180204	dualbound = 3448050.572100, lowerbound=1271635.572100, norm of subgrad 35.279041	 stepsize= 1.000000 
-dualbound = 3448134.975542, lowerbound=1271943.975542, norm of subgrad 1128.347010	dualbound = 3448134.975542, lowerbound=1271943.975542, norm of subgrad 36.158034	 stepsize= 1.000000 
-dualbound = 3448203.689261, lowerbound=1267571.689261, norm of subgrad 1126.415860	dualbound = 3448203.689261, lowerbound=1267571.689261, norm of subgrad 36.189967	 stepsize= 1.000000 
-dualbound = 3448279.387323, lowerbound=1279867.387323, norm of subgrad 1131.832756	dualbound = 3448279.387323, lowerbound=1279867.387323, norm of subgrad 35.407599	 stepsize= 1.000000 
-dualbound = 3448376.671434, lowerbound=1268428.671434, norm of subgrad 1126.785104	dualbound = 3448376.671434, lowerbound=1268428.671434, norm of subgrad 36.239262	 stepsize= 1.000000 
-dualbound = 3448424.909566, lowerbound=1272947.909566, norm of subgrad 1128.809510	dualbound = 3448424.909566, lowerbound=1272947.909566, norm of subgrad 36.211022	 stepsize= 1.000000 
-dualbound = 3448510.322369, lowerbound=1267598.322369, norm of subgrad 1126.413921	dualbound = 3448510.322369, lowerbound=1267598.322369, norm of subgrad 35.991844	 stepsize= 1.000000 
-dualbound = 3448588.927594, lowerbound=1276024.927594, norm of subgrad 1130.143322	dualbound = 3448588.927594, lowerbound=1276024.927594, norm of subgrad 35.743604	 stepsize= 1.000000 
-dualbound = 3448674.439632, lowerbound=1274754.439632, norm of subgrad 1129.581533	dualbound = 3448674.439632, lowerbound=1274754.439632, norm of subgrad 35.854038	 stepsize= 1.000000 
-dualbound = 3448756.165963, lowerbound=1270670.165963, norm of subgrad 1127.768667	dualbound = 3448756.165963, lowerbound=1270670.165963, norm of subgrad 35.689303	 stepsize= 1.000000 
-dualbound = 3448840.911734, lowerbound=1266119.911734, norm of subgrad 1125.748601	dualbound = 3448840.911734, lowerbound=1266119.911734, norm of subgrad 35.703582	 stepsize= 1.000000 
-dualbound = 3448899.896895, lowerbound=1275474.896895, norm of subgrad 1129.908800	dualbound = 3448899.896895, lowerbound=1275474.896895, norm of subgrad 35.748918	 stepsize= 1.000000 
-dualbound = 3449008.900322, lowerbound=1270798.900322, norm of subgrad 1127.796037	dualbound = 3449008.900322, lowerbound=1270798.900322, norm of subgrad 35.128385	 stepsize= 1.000000 
-dualbound = 3449064.343732, lowerbound=1274983.343732, norm of subgrad 1129.689933	dualbound = 3449064.343732, lowerbound=1274983.343732, norm of subgrad 35.657305	 stepsize= 1.000000 
-dualbound = 3449145.312013, lowerbound=1271012.312013, norm of subgrad 1127.925224	dualbound = 3449145.312013, lowerbound=1271012.312013, norm of subgrad 35.832503	 stepsize= 1.000000 
-dualbound = 3449235.403877, lowerbound=1272160.403877, norm of subgrad 1128.435379	dualbound = 3449235.403877, lowerbound=1272160.403877, norm of subgrad 36.001276	 stepsize= 1.000000 
-dualbound = 3449307.543291, lowerbound=1270427.543291, norm of subgrad 1127.663755	dualbound = 3449307.543291, lowerbound=1270427.543291, norm of subgrad 35.639015	 stepsize= 1.000000 
-dualbound = 3449386.623499, lowerbound=1277353.623499, norm of subgrad 1130.734108	dualbound = 3449386.623499, lowerbound=1277353.623499, norm of subgrad 35.848015	 stepsize= 1.000000 
-dualbound = 3449473.152874, lowerbound=1268260.152874, norm of subgrad 1126.687691	dualbound = 3449473.152874, lowerbound=1268260.152874, norm of subgrad 35.376961	 stepsize= 1.000000 
-dualbound = 3449543.853508, lowerbound=1276121.853508, norm of subgrad 1130.215844	dualbound = 3449543.853508, lowerbound=1276121.853508, norm of subgrad 36.560917	 stepsize= 1.000000 
-dualbound = 3449610.892952, lowerbound=1269637.892952, norm of subgrad 1127.312243	dualbound = 3449610.892952, lowerbound=1269637.892952, norm of subgrad 35.525194	 stepsize= 1.000000 
-dualbound = 3449711.075557, lowerbound=1276306.075557, norm of subgrad 1130.271682	dualbound = 3449711.075557, lowerbound=1276306.075557, norm of subgrad 36.168807	 stepsize= 1.000000 
-dualbound = 3449770.187354, lowerbound=1269876.187354, norm of subgrad 1127.414381	dualbound = 3449770.187354, lowerbound=1269876.187354, norm of subgrad 35.300309	 stepsize= 1.000000 
-dualbound = 3449858.241320, lowerbound=1275343.241320, norm of subgrad 1129.818234	dualbound = 3449858.241320, lowerbound=1275343.241320, norm of subgrad 35.129104	 stepsize= 1.000000 
-dualbound = 3449947.281704, lowerbound=1274637.281704, norm of subgrad 1129.546494	dualbound = 3449947.281704, lowerbound=1274637.281704, norm of subgrad 36.428565	 stepsize= 1.000000 
-dualbound = 3449986.297124, lowerbound=1274261.297124, norm of subgrad 1129.385805	dualbound = 3449986.297124, lowerbound=1274261.297124, norm of subgrad 35.916785	 stepsize= 1.000000 
-dualbound = 3450084.753223, lowerbound=1270486.753223, norm of subgrad 1127.717940	dualbound = 3450084.753223, lowerbound=1270486.753223, norm of subgrad 36.870803	 stepsize= 1.000000 
-dualbound = 3450169.396027, lowerbound=1270844.396027, norm of subgrad 1127.843250	dualbound = 3450169.396027, lowerbound=1270844.396027, norm of subgrad 35.646077	 stepsize= 1.000000 
-dualbound = 3450282.013206, lowerbound=1266115.013206, norm of subgrad 1125.739318	dualbound = 3450282.013206, lowerbound=1266115.013206, norm of subgrad 35.869446	 stepsize= 1.000000 
-dualbound = 3450328.475390, lowerbound=1275754.475390, norm of subgrad 1130.044457	dualbound = 3450328.475390, lowerbound=1275754.475390, norm of subgrad 35.950830	 stepsize= 1.000000 
-dualbound = 3450412.244464, lowerbound=1262126.244464, norm of subgrad 1124.000109	dualbound = 3450412.244464, lowerbound=1262126.244464, norm of subgrad 36.520803	 stepsize= 1.000000 
-dualbound = 3450474.114326, lowerbound=1275544.114326, norm of subgrad 1129.932349	dualbound = 3450474.114326, lowerbound=1275544.114326, norm of subgrad 35.565009	 stepsize= 1.000000 
-dualbound = 3450565.464830, lowerbound=1269338.464830, norm of subgrad 1127.200721	dualbound = 3450565.464830, lowerbound=1269338.464830, norm of subgrad 36.528763	 stepsize= 1.000000 
-dualbound = 3450640.010366, lowerbound=1274116.010366, norm of subgrad 1129.303772	dualbound = 3450640.010366, lowerbound=1274116.010366, norm of subgrad 35.854505	 stepsize= 1.000000 
-dualbound = 3450727.865263, lowerbound=1269055.865263, norm of subgrad 1127.056283	dualbound = 3450727.865263, lowerbound=1269055.865263, norm of subgrad 35.886695	 stepsize= 1.000000 
-dualbound = 3450791.891728, lowerbound=1270246.891728, norm of subgrad 1127.588973	dualbound = 3450791.891728, lowerbound=1270246.891728, norm of subgrad 35.693507	 stepsize= 1.000000 
-dualbound = 3450891.969923, lowerbound=1275842.969923, norm of subgrad 1130.052640	dualbound = 3450891.969923, lowerbound=1275842.969923, norm of subgrad 35.722237	 stepsize= 1.000000 
-dualbound = 3450975.555312, lowerbound=1274391.555312, norm of subgrad 1129.387690	dualbound = 3450975.555312, lowerbound=1274391.555312, norm of subgrad 34.764715	 stepsize= 1.000000 
-dualbound = 3451094.487810, lowerbound=1268962.487811, norm of subgrad 1126.966498	dualbound = 3451094.487810, lowerbound=1268962.487811, norm of subgrad 34.784084	 stepsize= 1.000000 
-dualbound = 3451157.676829, lowerbound=1271179.676829, norm of subgrad 1127.987445	dualbound = 3451157.676829, lowerbound=1271179.676829, norm of subgrad 35.202117	 stepsize= 1.000000 
-dualbound = 3451214.240047, lowerbound=1272723.240047, norm of subgrad 1128.675879	dualbound = 3451214.240047, lowerbound=1272723.240047, norm of subgrad 35.250010	 stepsize= 1.000000 
-dualbound = 3451308.001173, lowerbound=1273391.001173, norm of subgrad 1128.971656	dualbound = 3451308.001173, lowerbound=1273391.001173, norm of subgrad 35.773749	 stepsize= 1.000000 
-dualbound = 3451399.270998, lowerbound=1276576.270998, norm of subgrad 1130.386337	dualbound = 3451399.270998, lowerbound=1276576.270998, norm of subgrad 35.892476	 stepsize= 1.000000 
-dualbound = 3451436.496900, lowerbound=1268988.496900, norm of subgrad 1127.046360	dualbound = 3451436.496900, lowerbound=1268988.496900, norm of subgrad 35.808182	 stepsize= 1.000000 
-dualbound = 3451519.009162, lowerbound=1273410.009162, norm of subgrad 1129.043847	dualbound = 3451519.009162, lowerbound=1273410.009162, norm of subgrad 37.583404	 stepsize= 1.000000 
-dualbound = 3451595.489855, lowerbound=1271205.489855, norm of subgrad 1128.015288	dualbound = 3451595.489855, lowerbound=1271205.489855, norm of subgrad 35.909340	 stepsize= 1.000000 
-dualbound = 3451699.955743, lowerbound=1270941.955743, norm of subgrad 1127.909551	dualbound = 3451699.955743, lowerbound=1270941.955743, norm of subgrad 36.639676	 stepsize= 1.000000 
-dualbound = 3451753.983582, lowerbound=1273151.983582, norm of subgrad 1128.866238	dualbound = 3451753.983582, lowerbound=1273151.983582, norm of subgrad 35.228225	 stepsize= 1.000000 
-dualbound = 3451861.338080, lowerbound=1272633.338080, norm of subgrad 1128.666177	dualbound = 3451861.338080, lowerbound=1272633.338080, norm of subgrad 36.896538	 stepsize= 1.000000 
-dualbound = 3451907.235842, lowerbound=1272945.235842, norm of subgrad 1128.783077	dualbound = 3451907.235842, lowerbound=1272945.235842, norm of subgrad 35.382167	 stepsize= 1.000000 
-dualbound = 3452000.890079, lowerbound=1269566.890079, norm of subgrad 1127.313129	dualbound = 3452000.890079, lowerbound=1269566.890079, norm of subgrad 36.900599	 stepsize= 1.000000 
-dualbound = 3452058.108473, lowerbound=1272632.108473, norm of subgrad 1128.657215	dualbound = 3452058.108473, lowerbound=1272632.108473, norm of subgrad 35.947439	 stepsize= 1.000000 
-dualbound = 3452152.307269, lowerbound=1271636.307269, norm of subgrad 1128.224848	dualbound = 3452152.307269, lowerbound=1271636.307269, norm of subgrad 36.731442	 stepsize= 1.000000 
-dualbound = 3452226.670297, lowerbound=1271434.670297, norm of subgrad 1128.107561	dualbound = 3452226.670297, lowerbound=1271434.670297, norm of subgrad 35.585995	 stepsize= 1.000000 
-dualbound = 3452321.706531, lowerbound=1274996.706531, norm of subgrad 1129.678585	dualbound = 3452321.706531, lowerbound=1274996.706531, norm of subgrad 35.665617	 stepsize= 1.000000 
-dualbound = 3452380.133618, lowerbound=1267982.133618, norm of subgrad 1126.577620	dualbound = 3452380.133618, lowerbound=1267982.133618, norm of subgrad 35.403772	 stepsize= 1.000000 
-dualbound = 3452482.889292, lowerbound=1271377.889292, norm of subgrad 1128.101010	dualbound = 3452482.889292, lowerbound=1271377.889292, norm of subgrad 36.561669	 stepsize= 1.000000 
-dualbound = 3452540.614439, lowerbound=1271841.614439, norm of subgrad 1128.302537	dualbound = 3452540.614439, lowerbound=1271841.614439, norm of subgrad 35.815152	 stepsize= 1.000000 
-dualbound = 3452636.625197, lowerbound=1270312.625197, norm of subgrad 1127.617677	dualbound = 3452636.625197, lowerbound=1270312.625197, norm of subgrad 36.124933	 stepsize= 1.000000 
-dualbound = 3452725.196839, lowerbound=1274505.196839, norm of subgrad 1129.470760	dualbound = 3452725.196839, lowerbound=1274505.196839, norm of subgrad 35.882749	 stepsize= 1.000000 
-dualbound = 3452801.329088, lowerbound=1272231.329088, norm of subgrad 1128.464146	dualbound = 3452801.329088, lowerbound=1272231.329088, norm of subgrad 35.722993	 stepsize= 1.000000 
-dualbound = 3452880.071410, lowerbound=1272975.071410, norm of subgrad 1128.798065	dualbound = 3452880.071410, lowerbound=1272975.071410, norm of subgrad 35.899057	 stepsize= 1.000000 
-dualbound = 3452957.370524, lowerbound=1266072.370524, norm of subgrad 1125.727929	dualbound = 3452957.370524, lowerbound=1266072.370524, norm of subgrad 35.613187	 stepsize= 1.000000 
-dualbound = 3453041.846260, lowerbound=1272662.846260, norm of subgrad 1128.653555	dualbound = 3453041.846260, lowerbound=1272662.846260, norm of subgrad 35.783736	 stepsize= 1.000000 
-dualbound = 3453121.000833, lowerbound=1273650.000833, norm of subgrad 1129.091671	dualbound = 3453121.000833, lowerbound=1273650.000833, norm of subgrad 35.737299	 stepsize= 1.000000 
-dualbound = 3453184.019258, lowerbound=1272365.019258, norm of subgrad 1128.493695	dualbound = 3453184.019258, lowerbound=1272365.019258, norm of subgrad 34.583499	 stepsize= 1.000000 
-dualbound = 3453284.093661, lowerbound=1274181.093661, norm of subgrad 1129.321076	dualbound = 3453284.093661, lowerbound=1274181.093661, norm of subgrad 35.847934	 stepsize= 1.000000 
-dualbound = 3453362.067471, lowerbound=1272386.067472, norm of subgrad 1128.513211	dualbound = 3453362.067471, lowerbound=1272386.067472, norm of subgrad 35.127963	 stepsize= 1.000000 
-dualbound = 3453449.317328, lowerbound=1269976.317329, norm of subgrad 1127.451248	dualbound = 3453449.317328, lowerbound=1269976.317329, norm of subgrad 35.457719	 stepsize= 1.000000 
-dualbound = 3453519.803347, lowerbound=1274075.803347, norm of subgrad 1129.261619	dualbound = 3453519.803347, lowerbound=1274075.803347, norm of subgrad 35.021222	 stepsize= 1.000000 
-dualbound = 3453619.436902, lowerbound=1271020.436902, norm of subgrad 1127.926610	dualbound = 3453619.436902, lowerbound=1271020.436902, norm of subgrad 36.022681	 stepsize= 1.000000 
-dualbound = 3453660.881782, lowerbound=1276504.881782, norm of subgrad 1130.363606	dualbound = 3453660.881782, lowerbound=1276504.881782, norm of subgrad 35.474567	 stepsize= 1.000000 
-dualbound = 3453751.502471, lowerbound=1271546.502471, norm of subgrad 1128.152251	dualbound = 3453751.502471, lowerbound=1271546.502471, norm of subgrad 35.659791	 stepsize= 1.000000 
-dualbound = 3453813.697007, lowerbound=1271672.697007, norm of subgrad 1128.229895	dualbound = 3453813.697007, lowerbound=1271672.697007, norm of subgrad 35.947107	 stepsize= 1.000000 
-dualbound = 3453887.155949, lowerbound=1267729.155949, norm of subgrad 1126.480872	dualbound = 3453887.155949, lowerbound=1267729.155949, norm of subgrad 36.103448	 stepsize= 1.000000 
-dualbound = 3453960.198154, lowerbound=1275659.198154, norm of subgrad 1130.046104	dualbound = 3453960.198154, lowerbound=1275659.198154, norm of subgrad 37.656901	 stepsize= 1.000000 
-dualbound = 3454010.144798, lowerbound=1269607.144798, norm of subgrad 1127.356263	dualbound = 3454010.144798, lowerbound=1269607.144798, norm of subgrad 37.080273	 stepsize= 1.000000 
-dualbound = 3454085.497670, lowerbound=1271517.497670, norm of subgrad 1128.191694	dualbound = 3454085.497670, lowerbound=1271517.497670, norm of subgrad 37.072266	 stepsize= 1.000000 
-dualbound = 3454192.769382, lowerbound=1271516.769382, norm of subgrad 1128.178962	dualbound = 3454192.769382, lowerbound=1271516.769382, norm of subgrad 37.125082	 stepsize= 1.000000 
-dualbound = 3454286.069192, lowerbound=1276869.069192, norm of subgrad 1130.529553	dualbound = 3454286.069192, lowerbound=1276869.069192, norm of subgrad 36.349688	 stepsize= 1.000000 
-dualbound = 3454385.655674, lowerbound=1267472.655674, norm of subgrad 1126.314190	dualbound = 3454385.655674, lowerbound=1267472.655674, norm of subgrad 34.793483	 stepsize= 1.000000 
-dualbound = 3454464.496101, lowerbound=1272393.496101, norm of subgrad 1128.516059	dualbound = 3454464.496101, lowerbound=1272393.496101, norm of subgrad 35.126065	 stepsize= 1.000000 
-dualbound = 3454549.920983, lowerbound=1266756.920983, norm of subgrad 1126.015951	dualbound = 3454549.920983, lowerbound=1266756.920983, norm of subgrad 35.219666	 stepsize= 1.000000 
-dualbound = 3454621.758648, lowerbound=1272567.758648, norm of subgrad 1128.614088	dualbound = 3454621.758648, lowerbound=1272567.758648, norm of subgrad 35.690862	 stepsize= 1.000000 
-dualbound = 3454702.789299, lowerbound=1276598.789299, norm of subgrad 1130.369758	dualbound = 3454702.789299, lowerbound=1276598.789299, norm of subgrad 34.900296	 stepsize= 1.000000 
-dualbound = 3454798.112187, lowerbound=1274492.112187, norm of subgrad 1129.444603	dualbound = 3454798.112187, lowerbound=1274492.112187, norm of subgrad 35.331613	 stepsize= 1.000000 
-dualbound = 3454848.660940, lowerbound=1270314.660940, norm of subgrad 1127.609711	dualbound = 3454848.660940, lowerbound=1270314.660940, norm of subgrad 35.207226	 stepsize= 1.000000 
-dualbound = 3454919.976275, lowerbound=1273828.976275, norm of subgrad 1129.176681	dualbound = 3454919.976275, lowerbound=1273828.976275, norm of subgrad 35.809431	 stepsize= 1.000000 
-dualbound = 3455013.601374, lowerbound=1271448.601374, norm of subgrad 1128.108417	dualbound = 3455013.601374, lowerbound=1271448.601374, norm of subgrad 35.687884	 stepsize= 1.000000 
-dualbound = 3455113.535531, lowerbound=1274718.535531, norm of subgrad 1129.530670	dualbound = 3455113.535531, lowerbound=1274718.535531, norm of subgrad 34.941868	 stepsize= 1.000000 
-dualbound = 3455179.036811, lowerbound=1272699.036811, norm of subgrad 1128.657626	dualbound = 3455179.036811, lowerbound=1272699.036811, norm of subgrad 35.135470	 stepsize= 1.000000 
-dualbound = 3455244.797514, lowerbound=1274881.797514, norm of subgrad 1129.664020	dualbound = 3455244.797514, lowerbound=1274881.797514, norm of subgrad 36.397262	 stepsize= 1.000000 
-dualbound = 3455298.782044, lowerbound=1266847.782044, norm of subgrad 1126.103362	dualbound = 3455298.782044, lowerbound=1266847.782044, norm of subgrad 36.262715	 stepsize= 1.000000 
-dualbound = 3455384.681972, lowerbound=1274611.681972, norm of subgrad 1129.529407	dualbound = 3455384.681972, lowerbound=1274611.681972, norm of subgrad 36.206352	 stepsize= 1.000000 
-dualbound = 3455478.019492, lowerbound=1261147.019492, norm of subgrad 1123.547960	dualbound = 3455478.019492, lowerbound=1261147.019492, norm of subgrad 36.143292	 stepsize= 1.000000 
-dualbound = 3455560.859123, lowerbound=1272453.859123, norm of subgrad 1128.550335	dualbound = 3455560.859123, lowerbound=1272453.859123, norm of subgrad 35.423716	 stepsize= 1.000000 
-dualbound = 3455660.086570, lowerbound=1269285.086570, norm of subgrad 1127.177487	dualbound = 3455660.086570, lowerbound=1269285.086570, norm of subgrad 36.650067	 stepsize= 1.000000 
-dualbound = 3455694.449489, lowerbound=1274272.449489, norm of subgrad 1129.373919	dualbound = 3455694.449489, lowerbound=1274272.449489, norm of subgrad 35.318025	 stepsize= 1.000000 
-dualbound = 3455812.724886, lowerbound=1270833.724886, norm of subgrad 1127.838076	dualbound = 3455812.724886, lowerbound=1270833.724886, norm of subgrad 36.100906	 stepsize= 1.000000 
-dualbound = 3455899.588453, lowerbound=1274610.588453, norm of subgrad 1129.492624	dualbound = 3455899.588453, lowerbound=1274610.588453, norm of subgrad 35.069411	 stepsize= 1.000000 
-dualbound = 3455958.639174, lowerbound=1273050.639174, norm of subgrad 1128.857670	dualbound = 3455958.639174, lowerbound=1273050.639174, norm of subgrad 36.442430	 stepsize= 1.000000 
-dualbound = 3456001.518216, lowerbound=1277123.518216, norm of subgrad 1130.664193	dualbound = 3456001.518216, lowerbound=1277123.518216, norm of subgrad 36.343900	 stepsize= 1.000000 
-dualbound = 3456112.698074, lowerbound=1269912.698074, norm of subgrad 1127.427469	dualbound = 3456112.698074, lowerbound=1269912.698074, norm of subgrad 35.932991	 stepsize= 1.000000 
-dualbound = 3456197.703603, lowerbound=1276964.703603, norm of subgrad 1130.557696	dualbound = 3456197.703603, lowerbound=1276964.703603, norm of subgrad 35.791138	 stepsize= 1.000000 
-dualbound = 3456286.929219, lowerbound=1271773.929219, norm of subgrad 1128.248168	dualbound = 3456286.929219, lowerbound=1271773.929219, norm of subgrad 35.485569	 stepsize= 1.000000 
-dualbound = 3456355.736014, lowerbound=1275351.736014, norm of subgrad 1129.846333	dualbound = 3456355.736014, lowerbound=1275351.736014, norm of subgrad 35.634349	 stepsize= 1.000000 
-dualbound = 3456434.782034, lowerbound=1270665.782034, norm of subgrad 1127.776034	dualbound = 3456434.782034, lowerbound=1270665.782034, norm of subgrad 35.945042	 stepsize= 1.000000 
-dualbound = 3456525.246202, lowerbound=1271361.246202, norm of subgrad 1128.036899	dualbound = 3456525.246202, lowerbound=1271361.246202, norm of subgrad 34.589943	 stepsize= 1.000000 
-dualbound = 3456599.085903, lowerbound=1273533.085903, norm of subgrad 1129.061152	dualbound = 3456599.085903, lowerbound=1273533.085903, norm of subgrad 36.329598	 stepsize= 1.000000 
-dualbound = 3456679.569999, lowerbound=1268270.569999, norm of subgrad 1126.663468	dualbound = 3456679.569999, lowerbound=1268270.569999, norm of subgrad 34.358174	 stepsize= 1.000000 
-dualbound = 3456769.746553, lowerbound=1271472.746553, norm of subgrad 1128.104050	dualbound = 3456769.746553, lowerbound=1271472.746553, norm of subgrad 35.159303	 stepsize= 1.000000 
-dualbound = 3456831.833278, lowerbound=1270877.833278, norm of subgrad 1127.840784	dualbound = 3456831.833278, lowerbound=1270877.833278, norm of subgrad 34.771924	 stepsize= 1.000000 
-dualbound = 3456916.346833, lowerbound=1274919.346833, norm of subgrad 1129.656738	dualbound = 3456916.346833, lowerbound=1274919.346833, norm of subgrad 35.909797	 stepsize= 1.000000 
-dualbound = 3456962.781868, lowerbound=1272349.781868, norm of subgrad 1128.529478	dualbound = 3456962.781868, lowerbound=1272349.781868, norm of subgrad 35.713233	 stepsize= 1.000000 
-dualbound = 3457074.803642, lowerbound=1271678.803642, norm of subgrad 1128.186068	dualbound = 3457074.803642, lowerbound=1271678.803642, norm of subgrad 35.171320	 stepsize= 1.000000 
-dualbound = 3457155.687251, lowerbound=1268826.687251, norm of subgrad 1126.937748	dualbound = 3457155.687251, lowerbound=1268826.687251, norm of subgrad 35.254554	 stepsize= 1.000000 
-dualbound = 3457237.079832, lowerbound=1272748.079832, norm of subgrad 1128.675808	dualbound = 3457237.079832, lowerbound=1272748.079832, norm of subgrad 35.247590	 stepsize= 1.000000 
-dualbound = 3457311.168954, lowerbound=1270063.168954, norm of subgrad 1127.497303	dualbound = 3457311.168954, lowerbound=1270063.168954, norm of subgrad 35.511817	 stepsize= 1.000000 
-dualbound = 3457390.222390, lowerbound=1271455.222390, norm of subgrad 1128.151241	dualbound = 3457390.222390, lowerbound=1271455.222390, norm of subgrad 36.729463	 stepsize= 1.000000 
-dualbound = 3457441.631705, lowerbound=1268019.631705, norm of subgrad 1126.636424	dualbound = 3457441.631705, lowerbound=1268019.631705, norm of subgrad 36.625255	 stepsize= 1.000000 
-dualbound = 3457534.817142, lowerbound=1274034.817142, norm of subgrad 1129.260739	dualbound = 3457534.817142, lowerbound=1274034.817142, norm of subgrad 35.891300	 stepsize= 1.000000 
-dualbound = 3457623.177236, lowerbound=1272590.177236, norm of subgrad 1128.679395	dualbound = 3457623.177236, lowerbound=1272590.177236, norm of subgrad 37.621272	 stepsize= 1.000000 
-dualbound = 3457679.839044, lowerbound=1277189.839044, norm of subgrad 1130.691310	dualbound = 3457679.839044, lowerbound=1277189.839044, norm of subgrad 36.464528	 stepsize= 1.000000 
-dualbound = 3457752.459456, lowerbound=1266764.459456, norm of subgrad 1126.058373	dualbound = 3457752.459456, lowerbound=1266764.459456, norm of subgrad 36.271482	 stepsize= 1.000000 
-dualbound = 3457849.701900, lowerbound=1274300.701900, norm of subgrad 1129.389969	dualbound = 3457849.701900, lowerbound=1274300.701900, norm of subgrad 36.307609	 stepsize= 1.000000 
-dualbound = 3457933.125216, lowerbound=1275427.125216, norm of subgrad 1129.891201	dualbound = 3457933.125216, lowerbound=1275427.125216, norm of subgrad 36.199770	 stepsize= 1.000000 
-dualbound = 3458035.303231, lowerbound=1276572.303231, norm of subgrad 1130.398736	dualbound = 3458035.303231, lowerbound=1276572.303231, norm of subgrad 36.485312	 stepsize= 1.000000 
-dualbound = 3458093.160417, lowerbound=1275493.160417, norm of subgrad 1129.944317	dualbound = 3458093.160417, lowerbound=1275493.160417, norm of subgrad 36.590397	 stepsize= 1.000000 
-dualbound = 3458163.031997, lowerbound=1273783.031997, norm of subgrad 1129.162536	dualbound = 3458163.031997, lowerbound=1273783.031997, norm of subgrad 35.984324	 stepsize= 1.000000 
-dualbound = 3458252.432581, lowerbound=1267659.432581, norm of subgrad 1126.428175	dualbound = 3458252.432581, lowerbound=1267659.432581, norm of subgrad 35.642679	 stepsize= 1.000000 
-dualbound = 3458345.894556, lowerbound=1276728.894556, norm of subgrad 1130.427306	dualbound = 3458345.894556, lowerbound=1276728.894556, norm of subgrad 35.077941	 stepsize= 1.000000 
-dualbound = 3458451.213050, lowerbound=1269041.213050, norm of subgrad 1127.047565	dualbound = 3458451.213050, lowerbound=1269041.213050, norm of subgrad 36.059929	 stepsize= 1.000000 
-dualbound = 3458495.614188, lowerbound=1273318.614188, norm of subgrad 1128.943583	dualbound = 3458495.614188, lowerbound=1273318.614188, norm of subgrad 35.205129	 stepsize= 1.000000 
-dualbound = 3458601.277023, lowerbound=1271810.277023, norm of subgrad 1128.266492	dualbound = 3458601.277023, lowerbound=1271810.277023, norm of subgrad 35.786350	 stepsize= 1.000000 
-dualbound = 3458648.428896, lowerbound=1272854.428896, norm of subgrad 1128.716275	dualbound = 3458648.428896, lowerbound=1272854.428896, norm of subgrad 34.542031	 stepsize= 1.000000 
-dualbound = 3458743.868220, lowerbound=1271853.868220, norm of subgrad 1128.278719	dualbound = 3458743.868220, lowerbound=1271853.868220, norm of subgrad 35.418065	 stepsize= 1.000000 
-dualbound = 3458836.743856, lowerbound=1264956.743856, norm of subgrad 1125.195869	dualbound = 3458836.743856, lowerbound=1264956.743856, norm of subgrad 34.668078	 stepsize= 1.000000 
-dualbound = 3458896.309978, lowerbound=1270133.309978, norm of subgrad 1127.512887	dualbound = 3458896.309978, lowerbound=1270133.309978, norm of subgrad 34.807558	 stepsize= 1.000000 
-dualbound = 3458980.503775, lowerbound=1276691.503775, norm of subgrad 1130.426249	dualbound = 3458980.503775, lowerbound=1276691.503775, norm of subgrad 35.442824	 stepsize= 1.000000 
-dualbound = 3459039.184191, lowerbound=1275867.184191, norm of subgrad 1130.091228	dualbound = 3459039.184191, lowerbound=1275867.184191, norm of subgrad 36.023332	 stepsize= 1.000000 
-dualbound = 3459121.261352, lowerbound=1273611.261352, norm of subgrad 1129.090015	dualbound = 3459121.261352, lowerbound=1273611.261352, norm of subgrad 36.263993	 stepsize= 1.000000 
-dualbound = 3459182.171123, lowerbound=1273887.171123, norm of subgrad 1129.200235	dualbound = 3459182.171123, lowerbound=1273887.171123, norm of subgrad 35.593676	 stepsize= 1.000000 
-dualbound = 3459285.731606, lowerbound=1269707.731606, norm of subgrad 1127.326364	dualbound = 3459285.731606, lowerbound=1269707.731606, norm of subgrad 35.504373	 stepsize= 1.000000 
-dualbound = 3459383.822005, lowerbound=1271853.822005, norm of subgrad 1128.308833	dualbound = 3459383.822005, lowerbound=1271853.822005, norm of subgrad 36.401791	 stepsize= 1.000000 
-dualbound = 3459427.224580, lowerbound=1270006.224580, norm of subgrad 1127.476042	dualbound = 3459427.224580, lowerbound=1270006.224580, norm of subgrad 35.205150	 stepsize= 1.000000 
-dualbound = 3459514.710570, lowerbound=1270922.710570, norm of subgrad 1127.901906	dualbound = 3459514.710570, lowerbound=1270922.710570, norm of subgrad 36.434681	 stepsize= 1.000000 
-dualbound = 3459594.017429, lowerbound=1272297.017429, norm of subgrad 1128.479959	dualbound = 3459594.017429, lowerbound=1272297.017429, norm of subgrad 35.345535	 stepsize= 1.000000 
-dualbound = 3459683.028993, lowerbound=1271631.028993, norm of subgrad 1128.227384	dualbound = 3459683.028993, lowerbound=1271631.028993, norm of subgrad 36.810482	 stepsize= 1.000000 
-dualbound = 3459769.296638, lowerbound=1276391.296638, norm of subgrad 1130.305400	dualbound = 3459769.296638, lowerbound=1276391.296638, norm of subgrad 35.850630	 stepsize= 1.000000 
-dualbound = 3459844.885235, lowerbound=1268496.885235, norm of subgrad 1126.831347	dualbound = 3459844.885235, lowerbound=1268496.885235, norm of subgrad 36.436089	 stepsize= 1.000000 
-dualbound = 3459924.117827, lowerbound=1274155.117827, norm of subgrad 1129.334369	dualbound = 3459924.117827, lowerbound=1274155.117827, norm of subgrad 36.335005	 stepsize= 1.000000 
-dualbound = 3459982.603994, lowerbound=1272388.603994, norm of subgrad 1128.551994	dualbound = 3459982.603994, lowerbound=1272388.603994, norm of subgrad 36.048386	 stepsize= 1.000000 
-dualbound = 3460076.133827, lowerbound=1271772.133827, norm of subgrad 1128.231862	dualbound = 3460076.133827, lowerbound=1271772.133827, norm of subgrad 35.050390	 stepsize= 1.000000 
-dualbound = 3460177.666015, lowerbound=1270840.666015, norm of subgrad 1127.824750	dualbound = 3460177.666015, lowerbound=1270840.666015, norm of subgrad 35.348723	 stepsize= 1.000000 
-dualbound = 3460239.013055, lowerbound=1276710.013055, norm of subgrad 1130.449474	dualbound = 3460239.013055, lowerbound=1276710.013055, norm of subgrad 35.599818	 stepsize= 1.000000 
-dualbound = 3460314.762966, lowerbound=1272212.762966, norm of subgrad 1128.441741	dualbound = 3460314.762966, lowerbound=1272212.762966, norm of subgrad 35.266839	 stepsize= 1.000000 
-dualbound = 3460399.362115, lowerbound=1269736.362115, norm of subgrad 1127.363456	dualbound = 3460399.362115, lowerbound=1269736.362115, norm of subgrad 36.008321	 stepsize= 1.000000 
-dualbound = 3460432.461096, lowerbound=1270289.461096, norm of subgrad 1127.626029	dualbound = 3460432.461096, lowerbound=1270289.461096, norm of subgrad 35.834327	 stepsize= 1.000000 
-dualbound = 3460529.963671, lowerbound=1275362.963671, norm of subgrad 1129.851744	dualbound = 3460529.963671, lowerbound=1275362.963671, norm of subgrad 36.048614	 stepsize= 1.000000 
-dualbound = 3460616.013315, lowerbound=1269924.013315, norm of subgrad 1127.437809	dualbound = 3460616.013315, lowerbound=1269924.013315, norm of subgrad 35.749820	 stepsize= 1.000000 
-dualbound = 3460695.271040, lowerbound=1266543.271040, norm of subgrad 1125.956159	dualbound = 3460695.271040, lowerbound=1266543.271040, norm of subgrad 36.238898	 stepsize= 1.000000 
-dualbound = 3460770.096259, lowerbound=1274682.096259, norm of subgrad 1129.567659	dualbound = 3460770.096259, lowerbound=1274682.096259, norm of subgrad 36.274305	 stepsize= 1.000000 
-dualbound = 3460844.303490, lowerbound=1270197.303490, norm of subgrad 1127.578957	dualbound = 3460844.303490, lowerbound=1270197.303490, norm of subgrad 36.210596	 stepsize= 1.000000 
-dualbound = 3460931.549717, lowerbound=1275229.549717, norm of subgrad 1129.807306	dualbound = 3460931.549717, lowerbound=1275229.549717, norm of subgrad 36.362704	 stepsize= 1.000000 
-dualbound = 3461001.471457, lowerbound=1272276.471457, norm of subgrad 1128.480603	dualbound = 3461001.471457, lowerbound=1272276.471457, norm of subgrad 35.523538	 stepsize= 1.000000 
-dualbound = 3461095.787010, lowerbound=1270399.787010, norm of subgrad 1127.660759	dualbound = 3461095.787010, lowerbound=1270399.787010, norm of subgrad 36.239696	 stepsize= 1.000000 
-dualbound = 3461164.225379, lowerbound=1273914.225379, norm of subgrad 1129.228155	dualbound = 3461164.225379, lowerbound=1273914.225379, norm of subgrad 36.199977	 stepsize= 1.000000 
-dualbound = 3461228.024401, lowerbound=1271949.024401, norm of subgrad 1128.379380	dualbound = 3461228.024401, lowerbound=1271949.024401, norm of subgrad 36.807595	 stepsize= 1.000000 
-dualbound = 3461319.781850, lowerbound=1272653.781850, norm of subgrad 1128.659285	dualbound = 3461319.781850, lowerbound=1272653.781850, norm of subgrad 36.190571	 stepsize= 1.000000 
-dualbound = 3461421.875695, lowerbound=1275242.875695, norm of subgrad 1129.769390	dualbound = 3461421.875695, lowerbound=1275242.875695, norm of subgrad 35.186558	 stepsize= 1.000000 
-dualbound = 3461481.844576, lowerbound=1273679.844576, norm of subgrad 1129.148726	dualbound = 3461481.844576, lowerbound=1273679.844576, norm of subgrad 36.837059	 stepsize= 1.000000 
-dualbound = 3461519.281854, lowerbound=1269060.281854, norm of subgrad 1127.101274	dualbound = 3461519.281854, lowerbound=1269060.281854, norm of subgrad 36.529950	 stepsize= 1.000000 
-dualbound = 3461612.612287, lowerbound=1273888.612287, norm of subgrad 1129.235853	dualbound = 3461612.612287, lowerbound=1273888.612287, norm of subgrad 37.125873	 stepsize= 1.000000 
-dualbound = 3461701.712438, lowerbound=1269086.712438, norm of subgrad 1127.083720	dualbound = 3461701.712438, lowerbound=1269086.712438, norm of subgrad 36.333183	 stepsize= 1.000000 
-dualbound = 3461803.216859, lowerbound=1266820.216859, norm of subgrad 1126.046721	dualbound = 3461803.216859, lowerbound=1266820.216859, norm of subgrad 35.531738	 stepsize= 1.000000 
-dualbound = 3461883.443820, lowerbound=1280152.443820, norm of subgrad 1131.945424	dualbound = 3461883.443820, lowerbound=1280152.443820, norm of subgrad 35.046069	 stepsize= 1.000000 
-dualbound = 3461975.041128, lowerbound=1270647.041128, norm of subgrad 1127.741567	dualbound = 3461975.041128, lowerbound=1270647.041128, norm of subgrad 35.293021	 stepsize= 1.000000 
-dualbound = 3462041.391206, lowerbound=1274161.391206, norm of subgrad 1129.295529	dualbound = 3462041.391206, lowerbound=1274161.391206, norm of subgrad 34.833175	 stepsize= 1.000000 
-dualbound = 3462105.454827, lowerbound=1265346.454827, norm of subgrad 1125.403241	dualbound = 3462105.454827, lowerbound=1265346.454827, norm of subgrad 35.356239	 stepsize= 1.000000 
-dualbound = 3462205.223725, lowerbound=1276969.223725, norm of subgrad 1130.534486	dualbound = 3462205.223725, lowerbound=1276969.223725, norm of subgrad 35.196149	 stepsize= 1.000000 
-dualbound = 3462293.304156, lowerbound=1269723.304156, norm of subgrad 1127.343029	dualbound = 3462293.304156, lowerbound=1269723.304156, norm of subgrad 35.596073	 stepsize= 1.000000 
-dualbound = 3462340.565403, lowerbound=1275461.565403, norm of subgrad 1129.909096	dualbound = 3462340.565403, lowerbound=1275461.565403, norm of subgrad 35.780738	 stepsize= 1.000000 
-dualbound = 3462431.801392, lowerbound=1275187.801392, norm of subgrad 1129.799009	dualbound = 3462431.801392, lowerbound=1275187.801392, norm of subgrad 36.731948	 stepsize= 1.000000 
-dualbound = 3462502.930110, lowerbound=1274411.930110, norm of subgrad 1129.432127	dualbound = 3462502.930110, lowerbound=1274411.930110, norm of subgrad 35.722944	 stepsize= 1.000000 
-dualbound = 3462592.002826, lowerbound=1274728.002826, norm of subgrad 1129.538845	dualbound = 3462592.002826, lowerbound=1274728.002826, norm of subgrad 34.915222	 stepsize= 1.000000 
-dualbound = 3462682.532353, lowerbound=1272379.532353, norm of subgrad 1128.516518	dualbound = 3462682.532353, lowerbound=1272379.532353, norm of subgrad 35.503937	 stepsize= 1.000000 
-dualbound = 3462755.329631, lowerbound=1273716.329631, norm of subgrad 1129.120157	dualbound = 3462755.329631, lowerbound=1273716.329631, norm of subgrad 35.620181	 stepsize= 1.000000 
-dualbound = 3462809.282312, lowerbound=1274701.282312, norm of subgrad 1129.588988	dualbound = 3462809.282312, lowerbound=1274701.282312, norm of subgrad 36.386161	 stepsize= 1.000000 
-dualbound = 3462887.183038, lowerbound=1266607.183038, norm of subgrad 1125.997417	dualbound = 3462887.183038, lowerbound=1266607.183038, norm of subgrad 36.618311	 stepsize= 1.000000 
-dualbound = 3462981.307546, lowerbound=1278600.307546, norm of subgrad 1131.288782	dualbound = 3462981.307546, lowerbound=1278600.307546, norm of subgrad 36.168004	 stepsize= 1.000000 
-dualbound = 3463069.726007, lowerbound=1268913.726007, norm of subgrad 1127.010970	dualbound = 3463069.726007, lowerbound=1268913.726007, norm of subgrad 36.447475	 stepsize= 1.000000 
-dualbound = 3463122.268796, lowerbound=1273084.268796, norm of subgrad 1128.865479	dualbound = 3463122.268796, lowerbound=1273084.268796, norm of subgrad 36.132296	 stepsize= 1.000000 
-dualbound = 3463209.681827, lowerbound=1275451.681827, norm of subgrad 1129.908705	dualbound = 3463209.681827, lowerbound=1275451.681827, norm of subgrad 36.461117	 stepsize= 1.000000 
-dualbound = 3463280.907191, lowerbound=1270024.907191, norm of subgrad 1127.476344	dualbound = 3463280.907191, lowerbound=1270024.907191, norm of subgrad 35.344382	 stepsize= 1.000000 
-dualbound = 3463377.304795, lowerbound=1273841.304795, norm of subgrad 1129.172398	dualbound = 3463377.304795, lowerbound=1273841.304795, norm of subgrad 35.852442	 stepsize= 1.000000 
-dualbound = 3463466.942328, lowerbound=1273934.942328, norm of subgrad 1129.228915	dualbound = 3463466.942328, lowerbound=1273934.942328, norm of subgrad 36.230340	 stepsize= 1.000000 
-dualbound = 3463519.486797, lowerbound=1268194.486797, norm of subgrad 1126.708253	dualbound = 3463519.486797, lowerbound=1268194.486797, norm of subgrad 36.462919	 stepsize= 1.000000 
-dualbound = 3463588.503184, lowerbound=1272666.503184, norm of subgrad 1128.679983	dualbound = 3463588.503184, lowerbound=1272666.503184, norm of subgrad 36.345789	 stepsize= 1.000000 
-dualbound = 3463705.092600, lowerbound=1269159.092600, norm of subgrad 1127.090100	dualbound = 3463705.092600, lowerbound=1269159.092600, norm of subgrad 35.910854	 stepsize= 1.000000 
-dualbound = 3463770.508764, lowerbound=1273145.508764, norm of subgrad 1128.882859	dualbound = 3463770.508764, lowerbound=1273145.508764, norm of subgrad 36.005780	 stepsize= 1.000000 
-dualbound = 3463838.248075, lowerbound=1268680.248075, norm of subgrad 1126.919806	dualbound = 3463838.248075, lowerbound=1268680.248075, norm of subgrad 36.547768	 stepsize= 1.000000 
-dualbound = 3463904.933098, lowerbound=1275343.933098, norm of subgrad 1129.863679	dualbound = 3463904.933098, lowerbound=1275343.933098, norm of subgrad 36.258586	 stepsize= 1.000000 
-dualbound = 3464000.264765, lowerbound=1272053.264765, norm of subgrad 1128.378600	dualbound = 3464000.264765, lowerbound=1272053.264765, norm of subgrad 35.781723	 stepsize= 1.000000 
-dualbound = 3464103.504187, lowerbound=1271501.504187, norm of subgrad 1128.129649	dualbound = 3464103.504187, lowerbound=1271501.504187, norm of subgrad 35.752474	 stepsize= 1.000000 
-dualbound = 3464175.260710, lowerbound=1270192.260710, norm of subgrad 1127.547454	dualbound = 3464175.260710, lowerbound=1270192.260710, norm of subgrad 35.252752	 stepsize= 1.000000 
-dualbound = 3464244.858067, lowerbound=1273866.858067, norm of subgrad 1129.180614	dualbound = 3464244.858067, lowerbound=1273866.858067, norm of subgrad 35.377922	 stepsize= 1.000000 
-dualbound = 3464335.227929, lowerbound=1272667.227929, norm of subgrad 1128.635117	dualbound = 3464335.227929, lowerbound=1272667.227929, norm of subgrad 35.218885	 stepsize= 1.000000 
-dualbound = 3464435.617650, lowerbound=1273009.617650, norm of subgrad 1128.826212	dualbound = 3464435.617650, lowerbound=1273009.617650, norm of subgrad 36.597674	 stepsize= 1.000000 
-dualbound = 3464459.074818, lowerbound=1273522.074818, norm of subgrad 1129.068676	dualbound = 3464459.074818, lowerbound=1273522.074818, norm of subgrad 36.020233	 stepsize= 1.000000 
-dualbound = 3464547.879920, lowerbound=1271916.879920, norm of subgrad 1128.337662	dualbound = 3464547.879920, lowerbound=1271916.879920, norm of subgrad 36.301585	 stepsize= 1.000000 
-dualbound = 3464655.490525, lowerbound=1269853.490525, norm of subgrad 1127.398106	dualbound = 3464655.490525, lowerbound=1269853.490525, norm of subgrad 35.785620	 stepsize= 1.000000 
-dualbound = 3464734.187121, lowerbound=1272605.187121, norm of subgrad 1128.621809	dualbound = 3464734.187121, lowerbound=1272605.187121, norm of subgrad 35.506290	 stepsize= 1.000000 
-dualbound = 3464817.657840, lowerbound=1276319.657840, norm of subgrad 1130.246724	dualbound = 3464817.657840, lowerbound=1276319.657840, norm of subgrad 34.949545	 stepsize= 1.000000 
-dualbound = 3464908.470334, lowerbound=1270833.470334, norm of subgrad 1127.818456	dualbound = 3464908.470334, lowerbound=1270833.470334, norm of subgrad 35.097186	 stepsize= 1.000000 
-dualbound = 3464973.942105, lowerbound=1273323.942105, norm of subgrad 1128.945500	dualbound = 3464973.942105, lowerbound=1273323.942105, norm of subgrad 35.489037	 stepsize= 1.000000 
-dualbound = 3465037.076600, lowerbound=1274915.076600, norm of subgrad 1129.632718	dualbound = 3465037.076600, lowerbound=1274915.076600, norm of subgrad 34.901784	 stepsize= 1.000000 
-dualbound = 3465121.154504, lowerbound=1272305.154504, norm of subgrad 1128.495970	dualbound = 3465121.154504, lowerbound=1272305.154504, norm of subgrad 35.806115	 stepsize= 1.000000 
-dualbound = 3465176.862506, lowerbound=1277325.862506, norm of subgrad 1130.740847	dualbound = 3465176.862506, lowerbound=1277325.862506, norm of subgrad 36.120742	 stepsize= 1.000000 
-dualbound = 3465265.297168, lowerbound=1273331.297168, norm of subgrad 1128.937685	dualbound = 3465265.297168, lowerbound=1273331.297168, norm of subgrad 35.460325	 stepsize= 1.000000 
-dualbound = 3465357.922484, lowerbound=1275809.922484, norm of subgrad 1130.012355	dualbound = 3465357.922484, lowerbound=1275809.922484, norm of subgrad 34.794041	 stepsize= 1.000000 
-dualbound = 3465453.164616, lowerbound=1272426.164616, norm of subgrad 1128.522115	dualbound = 3465453.164616, lowerbound=1272426.164616, norm of subgrad 35.089060	 stepsize= 1.000000 
-dualbound = 3465520.579600, lowerbound=1269283.579600, norm of subgrad 1127.129354	dualbound = 3465520.579600, lowerbound=1269283.579600, norm of subgrad 34.704682	 stepsize= 1.000000 
-dualbound = 3465615.817640, lowerbound=1271689.817640, norm of subgrad 1128.174994	dualbound = 3465615.817640, lowerbound=1271689.817640, norm of subgrad 34.412760	 stepsize= 1.000000 
-dualbound = 3465677.943201, lowerbound=1270531.943201, norm of subgrad 1127.708270	dualbound = 3465677.943201, lowerbound=1270531.943201, norm of subgrad 35.441862	 stepsize= 1.000000 
-dualbound = 3465760.636045, lowerbound=1276075.636045, norm of subgrad 1130.168410	dualbound = 3465760.636045, lowerbound=1276075.636045, norm of subgrad 35.884437	 stepsize= 1.000000 
-dualbound = 3465826.021591, lowerbound=1273410.021591, norm of subgrad 1128.976980	dualbound = 3465826.021591, lowerbound=1273410.021591, norm of subgrad 35.275849	 stepsize= 1.000000 
-dualbound = 3465916.968042, lowerbound=1278037.968042, norm of subgrad 1131.039331	dualbound = 3465916.968042, lowerbound=1278037.968042, norm of subgrad 36.096350	 stepsize= 1.000000 
-dualbound = 3465974.676531, lowerbound=1266762.676531, norm of subgrad 1126.068682	dualbound = 3465974.676531, lowerbound=1266762.676531, norm of subgrad 36.410280	 stepsize= 1.000000 
-dualbound = 3466041.593988, lowerbound=1272683.593988, norm of subgrad 1128.663632	dualbound = 3466041.593988, lowerbound=1272683.593988, norm of subgrad 35.565678	 stepsize= 1.000000 
-dualbound = 3466154.842153, lowerbound=1267752.842153, norm of subgrad 1126.470524	dualbound = 3466154.842153, lowerbound=1267752.842153, norm of subgrad 36.003447	 stepsize= 1.000000 
-dualbound = 3466220.019659, lowerbound=1271239.019659, norm of subgrad 1128.034139	dualbound = 3466220.019659, lowerbound=1271239.019659, norm of subgrad 35.877256	 stepsize= 1.000000 
-dualbound = 3466292.898044, lowerbound=1274580.898044, norm of subgrad 1129.510026	dualbound = 3466292.898044, lowerbound=1274580.898044, norm of subgrad 35.845200	 stepsize= 1.000000 
-dualbound = 3466372.357351, lowerbound=1276132.357351, norm of subgrad 1130.185984	dualbound = 3466372.357351, lowerbound=1276132.357351, norm of subgrad 35.601395	 stepsize= 1.000000 
-dualbound = 3466450.752924, lowerbound=1267510.752924, norm of subgrad 1126.355518	dualbound = 3466450.752924, lowerbound=1267510.752924, norm of subgrad 35.275991	 stepsize= 1.000000 
-dualbound = 3466542.276431, lowerbound=1276981.276431, norm of subgrad 1130.549546	dualbound = 3466542.276431, lowerbound=1276981.276431, norm of subgrad 35.391009	 stepsize= 1.000000 
-dualbound = 3466606.576325, lowerbound=1272237.576325, norm of subgrad 1128.470016	dualbound = 3466606.576325, lowerbound=1272237.576325, norm of subgrad 35.655293	 stepsize= 1.000000 
-dualbound = 3466674.226553, lowerbound=1274150.226553, norm of subgrad 1129.331761	dualbound = 3466674.226553, lowerbound=1274150.226553, norm of subgrad 36.161447	 stepsize= 1.000000 
-dualbound = 3466752.761990, lowerbound=1268243.761990, norm of subgrad 1126.694618	dualbound = 3466752.761990, lowerbound=1268243.761990, norm of subgrad 35.714639	 stepsize= 1.000000 
-dualbound = 3466859.730296, lowerbound=1275926.730296, norm of subgrad 1130.094567	dualbound = 3466859.730296, lowerbound=1275926.730296, norm of subgrad 35.971771	 stepsize= 1.000000 
-dualbound = 3466916.679801, lowerbound=1272928.679801, norm of subgrad 1128.781502	dualbound = 3466916.679801, lowerbound=1272928.679801, norm of subgrad 35.720435	 stepsize= 1.000000 
-dualbound = 3466994.400688, lowerbound=1273006.400688, norm of subgrad 1128.827888	dualbound = 3466994.400688, lowerbound=1273006.400688, norm of subgrad 36.382975	 stepsize= 1.000000 
-dualbound = 3467066.124920, lowerbound=1278502.124920, norm of subgrad 1131.236105	dualbound = 3467066.124920, lowerbound=1278502.124920, norm of subgrad 35.562962	 stepsize= 1.000000 
-dualbound = 3467154.386661, lowerbound=1274323.386661, norm of subgrad 1129.412850	dualbound = 3467154.386661, lowerbound=1274323.386661, norm of subgrad 36.582260	 stepsize= 1.000000 
-dualbound = 3467213.249527, lowerbound=1273053.249527, norm of subgrad 1128.864584	dualbound = 3467213.249527, lowerbound=1273053.249527, norm of subgrad 36.617794	 stepsize= 1.000000 
-dualbound = 3467293.744309, lowerbound=1272026.744309, norm of subgrad 1128.393435	dualbound = 3467293.744309, lowerbound=1272026.744309, norm of subgrad 36.407345	 stepsize= 1.000000 
-dualbound = 3467397.850215, lowerbound=1275031.850215, norm of subgrad 1129.710074	dualbound = 3467397.850215, lowerbound=1275031.850215, norm of subgrad 36.291954	 stepsize= 1.000000 
-dualbound = 3467453.614029, lowerbound=1271147.614029, norm of subgrad 1127.996283	dualbound = 3467453.614029, lowerbound=1271147.614029, norm of subgrad 35.829650	 stepsize= 1.000000 
-dualbound = 3467547.279979, lowerbound=1271639.279979, norm of subgrad 1128.205336	dualbound = 3467547.279979, lowerbound=1271639.279979, norm of subgrad 36.078608	 stepsize= 1.000000 
-dualbound = 3467621.075847, lowerbound=1270571.075847, norm of subgrad 1127.746016	dualbound = 3467621.075847, lowerbound=1270571.075847, norm of subgrad 36.246322	 stepsize= 1.000000 
-dualbound = 3467689.315250, lowerbound=1272460.315250, norm of subgrad 1128.568259	dualbound = 3467689.315250, lowerbound=1272460.315250, norm of subgrad 35.696490	 stepsize= 1.000000 
-dualbound = 3467784.775879, lowerbound=1272323.775879, norm of subgrad 1128.504221	dualbound = 3467784.775879, lowerbound=1272323.775879, norm of subgrad 35.964714	 stepsize= 1.000000 
-dualbound = 3467857.514777, lowerbound=1272794.514777, norm of subgrad 1128.706124	dualbound = 3467857.514777, lowerbound=1272794.514777, norm of subgrad 35.436406	 stepsize= 1.000000 
-dualbound = 3467926.078348, lowerbound=1269447.078348, norm of subgrad 1127.233817	dualbound = 3467926.078348, lowerbound=1269447.078348, norm of subgrad 35.743021	 stepsize= 1.000000 
-dualbound = 3468005.269324, lowerbound=1275325.269324, norm of subgrad 1129.847011	dualbound = 3468005.269324, lowerbound=1275325.269324, norm of subgrad 36.168923	 stepsize= 1.000000 
-dualbound = 3468074.474920, lowerbound=1268744.474920, norm of subgrad 1126.942534	dualbound = 3468074.474920, lowerbound=1268744.474920, norm of subgrad 36.389636	 stepsize= 1.000000 
-dualbound = 3468158.291241, lowerbound=1279263.291241, norm of subgrad 1131.586184	dualbound = 3468158.291241, lowerbound=1279263.291241, norm of subgrad 36.163743	 stepsize= 1.000000 
-dualbound = 3468219.718815, lowerbound=1272404.718815, norm of subgrad 1128.552931	dualbound = 3468219.718815, lowerbound=1272404.718815, norm of subgrad 35.894673	 stepsize= 1.000000 
-dualbound = 3468340.405202, lowerbound=1273663.405202, norm of subgrad 1129.098049	dualbound = 3468340.405202, lowerbound=1273663.405202, norm of subgrad 36.327488	 stepsize= 1.000000 
-dualbound = 3468392.923574, lowerbound=1269652.923574, norm of subgrad 1127.331328	dualbound = 3468392.923574, lowerbound=1269652.923574, norm of subgrad 35.714400	 stepsize= 1.000000 
-dualbound = 3468499.511308, lowerbound=1276465.511308, norm of subgrad 1130.340883	dualbound = 3468499.511308, lowerbound=1276465.511308, norm of subgrad 36.215849	 stepsize= 1.000000 
-dualbound = 3468532.837863, lowerbound=1270747.837863, norm of subgrad 1127.827929	dualbound = 3468532.837863, lowerbound=1270747.837863, norm of subgrad 35.795622	 stepsize= 1.000000 
-dualbound = 3468633.775843, lowerbound=1275394.775843, norm of subgrad 1129.856529	dualbound = 3468633.775843, lowerbound=1275394.775843, norm of subgrad 35.804161	 stepsize= 1.000000 
-dualbound = 3468732.879225, lowerbound=1274029.879225, norm of subgrad 1129.238628	dualbound = 3468732.879225, lowerbound=1274029.879225, norm of subgrad 35.342657	 stepsize= 1.000000 
-dualbound = 3468817.786099, lowerbound=1272957.786099, norm of subgrad 1128.774462	dualbound = 3468817.786099, lowerbound=1272957.786099, norm of subgrad 35.481078	 stepsize= 1.000000 
-dualbound = 3468899.041073, lowerbound=1271507.041073, norm of subgrad 1128.124125	dualbound = 3468899.041073, lowerbound=1271507.041073, norm of subgrad 35.188847	 stepsize= 1.000000 
-dualbound = 3468973.362713, lowerbound=1274499.362713, norm of subgrad 1129.461979	dualbound = 3468973.362713, lowerbound=1274499.362713, norm of subgrad 35.486922	 stepsize= 1.000000 
-dualbound = 3469026.851199, lowerbound=1271834.851199, norm of subgrad 1128.298653	dualbound = 3469026.851199, lowerbound=1271834.851199, norm of subgrad 35.727979	 stepsize= 1.000000 
-dualbound = 3469102.817801, lowerbound=1277995.817801, norm of subgrad 1130.998593	dualbound = 3469102.817801, lowerbound=1277995.817801, norm of subgrad 35.184750	 stepsize= 1.000000 
-dualbound = 3469220.258607, lowerbound=1273784.258607, norm of subgrad 1129.135182	dualbound = 3469220.258607, lowerbound=1273784.258607, norm of subgrad 35.769272	 stepsize= 1.000000 
-dualbound = 3469277.888404, lowerbound=1277055.888404, norm of subgrad 1130.594927	dualbound = 3469277.888404, lowerbound=1277055.888404, norm of subgrad 35.307645	 stepsize= 1.000000 
-dualbound = 3469355.223731, lowerbound=1272626.223731, norm of subgrad 1128.628027	dualbound = 3469355.223731, lowerbound=1272626.223731, norm of subgrad 35.388350	 stepsize= 1.000000 
-dualbound = 3469417.486867, lowerbound=1272342.486867, norm of subgrad 1128.539094	dualbound = 3469417.486867, lowerbound=1272342.486867, norm of subgrad 36.335425	 stepsize= 1.000000 
-dualbound = 3469509.908240, lowerbound=1276456.908240, norm of subgrad 1130.333538	dualbound = 3469509.908240, lowerbound=1276456.908240, norm of subgrad 35.908514	 stepsize= 1.000000 
-dualbound = 3469579.416382, lowerbound=1273152.416382, norm of subgrad 1128.874402	dualbound = 3469579.416382, lowerbound=1273152.416382, norm of subgrad 35.700254	 stepsize= 1.000000 
-dualbound = 3469677.502038, lowerbound=1273281.502038, norm of subgrad 1128.947077	dualbound = 3469677.502038, lowerbound=1273281.502038, norm of subgrad 36.579853	 stepsize= 1.000000 
-dualbound = 3469740.937516, lowerbound=1275370.937516, norm of subgrad 1129.837571	dualbound = 3469740.937516, lowerbound=1275370.937516, norm of subgrad 35.006221	 stepsize= 1.000000 
-dualbound = 3469847.502931, lowerbound=1275970.502931, norm of subgrad 1130.120570	dualbound = 3469847.502931, lowerbound=1275970.502931, norm of subgrad 36.174099	 stepsize= 1.000000 
-dualbound = 3469879.414268, lowerbound=1272954.414268, norm of subgrad 1128.785814	dualbound = 3469879.414268, lowerbound=1272954.414268, norm of subgrad 35.141305	 stepsize= 1.000000 
-dualbound = 3469959.644742, lowerbound=1272386.644742, norm of subgrad 1128.541822	dualbound = 3469959.644742, lowerbound=1272386.644742, norm of subgrad 36.058709	 stepsize= 1.000000 
-dualbound = 3470050.167383, lowerbound=1267611.167383, norm of subgrad 1126.422286	dualbound = 3470050.167383, lowerbound=1267611.167383, norm of subgrad 36.145852	 stepsize= 1.000000 
-dualbound = 3470114.885215, lowerbound=1275682.885215, norm of subgrad 1129.974728	dualbound = 3470114.885215, lowerbound=1275682.885215, norm of subgrad 34.995969	 stepsize= 1.000000 
-dualbound = 3470216.961323, lowerbound=1272016.961323, norm of subgrad 1128.352765	dualbound = 3470216.961323, lowerbound=1272016.961323, norm of subgrad 35.567908	 stepsize= 1.000000 
-dualbound = 3470285.440349, lowerbound=1273353.440349, norm of subgrad 1128.951478	dualbound = 3470285.440349, lowerbound=1273353.440349, norm of subgrad 35.305510	 stepsize= 1.000000 
-dualbound = 3470358.076074, lowerbound=1277134.076074, norm of subgrad 1130.652942	dualbound = 3470358.076074, lowerbound=1277134.076074, norm of subgrad 36.257906	 stepsize= 1.000000 
-dualbound = 3470425.018646, lowerbound=1276500.018646, norm of subgrad 1130.388437	dualbound = 3470425.018646, lowerbound=1276500.018646, norm of subgrad 36.673459	 stepsize= 1.000000 
-dualbound = 3470501.738172, lowerbound=1273591.738172, norm of subgrad 1129.070298	dualbound = 3470501.738172, lowerbound=1273591.738172, norm of subgrad 35.842984	 stepsize= 1.000000 
-dualbound = 3470577.413627, lowerbound=1275449.413627, norm of subgrad 1129.877167	dualbound = 3470577.413627, lowerbound=1275449.413627, norm of subgrad 35.336602	 stepsize= 1.000000 
-dualbound = 3470684.882895, lowerbound=1275145.882895, norm of subgrad 1129.733988	dualbound = 3470684.882895, lowerbound=1275145.882895, norm of subgrad 35.503088	 stepsize= 1.000000 
-dualbound = 3470785.274488, lowerbound=1272274.274488, norm of subgrad 1128.459248	dualbound = 3470785.274488, lowerbound=1272274.274488, norm of subgrad 35.304272	 stepsize= 1.000000 
-dualbound = 3470832.781291, lowerbound=1276767.781291, norm of subgrad 1130.479890	dualbound = 3470832.781291, lowerbound=1276767.781291, norm of subgrad 35.559904	 stepsize= 1.000000 
-dualbound = 3470886.100045, lowerbound=1276499.100045, norm of subgrad 1130.396877	dualbound = 3470886.100045, lowerbound=1276499.100045, norm of subgrad 36.760288	 stepsize= 1.000000 
-dualbound = 3470977.813648, lowerbound=1273524.813648, norm of subgrad 1129.020289	dualbound = 3470977.813648, lowerbound=1273524.813648, norm of subgrad 35.407818	 stepsize= 1.000000 
-dualbound = 3471074.184597, lowerbound=1269449.184598, norm of subgrad 1127.216565	dualbound = 3471074.184597, lowerbound=1269449.184598, norm of subgrad 35.557994	 stepsize= 1.000000 
-dualbound = 3471134.272634, lowerbound=1273075.272634, norm of subgrad 1128.816758	dualbound = 3471134.272634, lowerbound=1273075.272634, norm of subgrad 34.815055	 stepsize= 1.000000 
-dualbound = 3471246.077310, lowerbound=1272340.077310, norm of subgrad 1128.500367	dualbound = 3471246.077310, lowerbound=1272340.077310, norm of subgrad 35.844172	 stepsize= 1.000000 
-dualbound = 3471264.656808, lowerbound=1274488.656808, norm of subgrad 1129.489113	dualbound = 3471264.656808, lowerbound=1274488.656808, norm of subgrad 35.715256	 stepsize= 1.000000 
-dualbound = 3471381.326637, lowerbound=1270455.326637, norm of subgrad 1127.674300	dualbound = 3471381.326637, lowerbound=1270455.326637, norm of subgrad 36.203174	 stepsize= 1.000000 
-dualbound = 3471440.093505, lowerbound=1272994.093505, norm of subgrad 1128.821108	dualbound = 3471440.093505, lowerbound=1272994.093505, norm of subgrad 36.080006	 stepsize= 1.000000 
-dualbound = 3471508.005375, lowerbound=1277117.005375, norm of subgrad 1130.630800	dualbound = 3471508.005375, lowerbound=1277117.005375, norm of subgrad 35.733904	 stepsize= 1.000000 
-dualbound = 3471630.561423, lowerbound=1274957.561423, norm of subgrad 1129.643112	dualbound = 3471630.561423, lowerbound=1274957.561423, norm of subgrad 35.476134	 stepsize= 1.000000 
-dualbound = 3471681.837178, lowerbound=1272468.837178, norm of subgrad 1128.595958	dualbound = 3471681.837178, lowerbound=1272468.837178, norm of subgrad 36.211542	 stepsize= 1.000000 
-dualbound = 3471739.853733, lowerbound=1270047.853733, norm of subgrad 1127.510024	dualbound = 3471739.853733, lowerbound=1270047.853733, norm of subgrad 35.902877	 stepsize= 1.000000 
-dualbound = 3471834.475340, lowerbound=1273618.475340, norm of subgrad 1129.125979	dualbound = 3471834.475340, lowerbound=1273618.475340, norm of subgrad 37.438237	 stepsize= 1.000000 
-dualbound = 3471912.058718, lowerbound=1273102.058718, norm of subgrad 1128.852984	dualbound = 3471912.058718, lowerbound=1273102.058718, norm of subgrad 35.841085	 stepsize= 1.000000 
-dualbound = 3471999.170862, lowerbound=1275894.170862, norm of subgrad 1130.090337	dualbound = 3471999.170862, lowerbound=1275894.170862, norm of subgrad 36.015443	 stepsize= 1.000000 
-dualbound = 3472078.041626, lowerbound=1273508.041626, norm of subgrad 1129.021719	dualbound = 3472078.041626, lowerbound=1273508.041626, norm of subgrad 35.508742	 stepsize= 1.000000 
-dualbound = 3472168.538565, lowerbound=1264443.538565, norm of subgrad 1124.998906	dualbound = 3472168.538565, lowerbound=1264443.538565, norm of subgrad 35.630001	 stepsize= 1.000000 
-dualbound = 3472226.523883, lowerbound=1271738.523883, norm of subgrad 1128.246216	dualbound = 3472226.523883, lowerbound=1271738.523883, norm of subgrad 35.482183	 stepsize= 1.000000 
-dualbound = 3472333.839975, lowerbound=1271643.839975, norm of subgrad 1128.194061	dualbound = 3472333.839975, lowerbound=1271643.839975, norm of subgrad 35.851305	 stepsize= 1.000000 
-dualbound = 3472394.840452, lowerbound=1274903.840452, norm of subgrad 1129.667580	dualbound = 3472394.840452, lowerbound=1274903.840452, norm of subgrad 36.138629	 stepsize= 1.000000 
-dualbound = 3472468.490829, lowerbound=1274633.490829, norm of subgrad 1129.542602	dualbound = 3472468.490829, lowerbound=1274633.490829, norm of subgrad 36.147619	 stepsize= 1.000000 
-dualbound = 3472556.495930, lowerbound=1271486.495930, norm of subgrad 1128.135850	dualbound = 3472556.495930, lowerbound=1271486.495930, norm of subgrad 35.944472	 stepsize= 1.000000 
-dualbound = 3472624.918041, lowerbound=1277927.918041, norm of subgrad 1130.986701	dualbound = 3472624.918041, lowerbound=1277927.918041, norm of subgrad 35.657006	 stepsize= 1.000000 
-dualbound = 3472713.168804, lowerbound=1273209.168804, norm of subgrad 1128.898653	dualbound = 3472713.168804, lowerbound=1273209.168804, norm of subgrad 35.933978	 stepsize= 1.000000 
-dualbound = 3472771.364731, lowerbound=1271956.364731, norm of subgrad 1128.369782	dualbound = 3472771.364731, lowerbound=1271956.364731, norm of subgrad 36.334501	 stepsize= 1.000000 
-dualbound = 3472862.442135, lowerbound=1273858.442135, norm of subgrad 1129.194156	dualbound = 3472862.442135, lowerbound=1273858.442135, norm of subgrad 36.222609	 stepsize= 1.000000 
-dualbound = 3472931.604627, lowerbound=1269833.604627, norm of subgrad 1127.413236	dualbound = 3472931.604627, lowerbound=1269833.604627, norm of subgrad 36.002257	 stepsize= 1.000000 
-dualbound = 3473015.129046, lowerbound=1277418.129046, norm of subgrad 1130.771475	dualbound = 3473015.129046, lowerbound=1277418.129046, norm of subgrad 36.187352	 stepsize= 1.000000 
-dualbound = 3473090.752847, lowerbound=1273289.752847, norm of subgrad 1128.945416	dualbound = 3473090.752847, lowerbound=1273289.752847, norm of subgrad 36.105731	 stepsize= 1.000000 
-dualbound = 3473183.173890, lowerbound=1278654.173890, norm of subgrad 1131.327616	dualbound = 3473183.173890, lowerbound=1278654.173890, norm of subgrad 36.611761	 stepsize= 1.000000 
-dualbound = 3473222.954284, lowerbound=1272342.954284, norm of subgrad 1128.539301	dualbound = 3473222.954284, lowerbound=1272342.954284, norm of subgrad 36.024719	 stepsize= 1.000000 
-dualbound = 3473330.913885, lowerbound=1270275.913885, norm of subgrad 1127.575680	dualbound = 3473330.913885, lowerbound=1270275.913885, norm of subgrad 35.481821	 stepsize= 1.000000 
-dualbound = 3473427.433826, lowerbound=1274446.433826, norm of subgrad 1129.429251	dualbound = 3473427.433826, lowerbound=1274446.433826, norm of subgrad 35.503802	 stepsize= 1.000000 
-dualbound = 3473469.726020, lowerbound=1269544.726020, norm of subgrad 1127.292653	dualbound = 3473469.726020, lowerbound=1269544.726020, norm of subgrad 35.864916	 stepsize= 1.000000 
-dualbound = 3473543.707276, lowerbound=1277653.707276, norm of subgrad 1130.880943	dualbound = 3473543.707276, lowerbound=1277653.707276, norm of subgrad 36.221282	 stepsize= 1.000000 
-dualbound = 3473617.026080, lowerbound=1274665.026080, norm of subgrad 1129.553020	dualbound = 3473617.026080, lowerbound=1274665.026080, norm of subgrad 36.032191	 stepsize= 1.000000 
-dualbound = 3473724.740159, lowerbound=1273493.740159, norm of subgrad 1129.016271	dualbound = 3473724.740159, lowerbound=1273493.740159, norm of subgrad 35.940424	 stepsize= 1.000000 
-dualbound = 3473787.633460, lowerbound=1275370.633460, norm of subgrad 1129.863989	dualbound = 3473787.633460, lowerbound=1275370.633460, norm of subgrad 35.845408	 stepsize= 1.000000 
-dualbound = 3473879.699917, lowerbound=1270007.699917, norm of subgrad 1127.497539	dualbound = 3473879.699917, lowerbound=1270007.699917, norm of subgrad 36.538561	 stepsize= 1.000000 
-dualbound = 3473924.882872, lowerbound=1273682.882872, norm of subgrad 1129.141658	dualbound = 3473924.882872, lowerbound=1273682.882872, norm of subgrad 36.375582	 stepsize= 1.000000 
-dualbound = 3474049.565909, lowerbound=1274314.565909, norm of subgrad 1129.403633	dualbound = 3474049.565909, lowerbound=1274314.565909, norm of subgrad 36.914537	 stepsize= 1.000000 
-dualbound = 3474093.380087, lowerbound=1272467.380087, norm of subgrad 1128.591769	dualbound = 3474093.380087, lowerbound=1272467.380087, norm of subgrad 35.997419	 stepsize= 1.000000 
-dualbound = 3474172.088094, lowerbound=1278414.088094, norm of subgrad 1131.226365	dualbound = 3474172.088094, lowerbound=1278414.088094, norm of subgrad 36.574691	 stepsize= 1.000000 
-dualbound = 3474248.163954, lowerbound=1271301.163954, norm of subgrad 1128.074982	dualbound = 3474248.163954, lowerbound=1271301.163954, norm of subgrad 36.442775	 stepsize= 1.000000 
-dualbound = 3474335.194232, lowerbound=1270994.194232, norm of subgrad 1127.932708	dualbound = 3474335.194232, lowerbound=1270994.194232, norm of subgrad 36.400965	 stepsize= 1.000000 
-dualbound = 3474418.628586, lowerbound=1271986.628586, norm of subgrad 1128.327802	dualbound = 3474418.628586, lowerbound=1271986.628586, norm of subgrad 34.934716	 stepsize= 1.000000 
-dualbound = 3474509.889478, lowerbound=1273683.889478, norm of subgrad 1129.088522	dualbound = 3474509.889478, lowerbound=1273683.889478, norm of subgrad 35.330736	 stepsize= 1.000000 
-dualbound = 3474577.152725, lowerbound=1272734.152725, norm of subgrad 1128.698433	dualbound = 3474577.152725, lowerbound=1272734.152725, norm of subgrad 35.961969	 stepsize= 1.000000 
-dualbound = 3474653.738633, lowerbound=1274298.738633, norm of subgrad 1129.375375	dualbound = 3474653.738633, lowerbound=1274298.738633, norm of subgrad 35.589126	 stepsize= 1.000000 
-dualbound = 3474720.779722, lowerbound=1270531.779722, norm of subgrad 1127.735244	dualbound = 3474720.779722, lowerbound=1270531.779722, norm of subgrad 36.359883	 stepsize= 1.000000 
-dualbound = 3474803.988832, lowerbound=1279479.988832, norm of subgrad 1131.685464	dualbound = 3474803.988832, lowerbound=1279479.988832, norm of subgrad 36.265812	 stepsize= 1.000000 
-dualbound = 3474887.585805, lowerbound=1272153.585805, norm of subgrad 1128.441219	dualbound = 3474887.585805, lowerbound=1272153.585805, norm of subgrad 36.188354	 stepsize= 1.000000 
-dualbound = 3474962.723084, lowerbound=1271959.723084, norm of subgrad 1128.333161	dualbound = 3474962.723084, lowerbound=1271959.723084, norm of subgrad 35.371419	 stepsize= 1.000000 
-dualbound = 3475063.323706, lowerbound=1270322.323706, norm of subgrad 1127.599363	dualbound = 3475063.323706, lowerbound=1270322.323706, norm of subgrad 35.476762	 stepsize= 1.000000 
-dualbound = 3475128.004462, lowerbound=1276487.004462, norm of subgrad 1130.367641	dualbound = 3475128.004462, lowerbound=1276487.004462, norm of subgrad 36.175693	 stepsize= 1.000000 
-dualbound = 3475199.420987, lowerbound=1269416.420987, norm of subgrad 1127.206911	dualbound = 3475199.420987, lowerbound=1269416.420987, norm of subgrad 35.361229	 stepsize= 1.000000 
-dualbound = 3475268.223325, lowerbound=1275851.223325, norm of subgrad 1130.071778	dualbound = 3475268.223325, lowerbound=1275851.223325, norm of subgrad 35.774325	 stepsize= 1.000000 
-dualbound = 3475355.415349, lowerbound=1274475.415349, norm of subgrad 1129.460675	dualbound = 3475355.415349, lowerbound=1274475.415349, norm of subgrad 35.960979	 stepsize= 1.000000 
-dualbound = 3475435.238795, lowerbound=1274556.238795, norm of subgrad 1129.486715	dualbound = 3475435.238795, lowerbound=1274556.238795, norm of subgrad 35.550295	 stepsize= 1.000000 
-dualbound = 3475521.597505, lowerbound=1272765.597505, norm of subgrad 1128.690656	dualbound = 3475521.597505, lowerbound=1272765.597505, norm of subgrad 35.543758	 stepsize= 1.000000 
-dualbound = 3475604.727501, lowerbound=1276672.727501, norm of subgrad 1130.455098	dualbound = 3475604.727501, lowerbound=1276672.727501, norm of subgrad 36.594125	 stepsize= 1.000000 
-dualbound = 3475645.121001, lowerbound=1272797.121001, norm of subgrad 1128.745375	dualbound = 3475645.121001, lowerbound=1272797.121001, norm of subgrad 36.185543	 stepsize= 1.000000 
-dualbound = 3475740.057311, lowerbound=1279031.057311, norm of subgrad 1131.475611	dualbound = 3475740.057311, lowerbound=1279031.057311, norm of subgrad 36.068495	 stepsize= 1.000000 
-dualbound = 3475843.118425, lowerbound=1271794.118425, norm of subgrad 1128.246479	dualbound = 3475843.118425, lowerbound=1271794.118425, norm of subgrad 35.342059	 stepsize= 1.000000 
-dualbound = 3475901.801033, lowerbound=1270767.801033, norm of subgrad 1127.807519	dualbound = 3475901.801033, lowerbound=1270767.801033, norm of subgrad 35.223325	 stepsize= 1.000000 
-dualbound = 3475976.638119, lowerbound=1273894.638119, norm of subgrad 1129.222139	dualbound = 3475976.638119, lowerbound=1273894.638119, norm of subgrad 36.370827	 stepsize= 1.000000 
-dualbound = 3476036.671275, lowerbound=1267255.671275, norm of subgrad 1126.233844	dualbound = 3476036.671275, lowerbound=1267255.671275, norm of subgrad 34.742383	 stepsize= 1.000000 
-dualbound = 3476161.821297, lowerbound=1277842.821297, norm of subgrad 1130.936701	dualbound = 3476161.821297, lowerbound=1277842.821297, norm of subgrad 36.057593	 stepsize= 1.000000 
-dualbound = 3476208.711809, lowerbound=1269614.711809, norm of subgrad 1127.308171	dualbound = 3476208.711809, lowerbound=1269614.711809, norm of subgrad 35.438546	 stepsize= 1.000000 
-dualbound = 3476285.921581, lowerbound=1278444.921581, norm of subgrad 1131.233363	dualbound = 3476285.921581, lowerbound=1278444.921581, norm of subgrad 36.348449	 stepsize= 1.000000 
-dualbound = 3476355.025018, lowerbound=1271553.025018, norm of subgrad 1128.191927	dualbound = 3476355.025018, lowerbound=1271553.025018, norm of subgrad 36.511689	 stepsize= 1.000000 
-dualbound = 3476447.306219, lowerbound=1276031.306219, norm of subgrad 1130.171361	dualbound = 3476447.306219, lowerbound=1276031.306219, norm of subgrad 36.718949	 stepsize= 1.000000 
-dualbound = 3476517.887199, lowerbound=1276339.887199, norm of subgrad 1130.302564	dualbound = 3476517.887199, lowerbound=1276339.887199, norm of subgrad 36.257151	 stepsize= 1.000000 
-dualbound = 3476614.077466, lowerbound=1271483.077466, norm of subgrad 1128.104639	dualbound = 3476614.077466, lowerbound=1271483.077466, norm of subgrad 35.116809	 stepsize= 1.000000 
-dualbound = 3476694.426274, lowerbound=1271161.426274, norm of subgrad 1128.000632	dualbound = 3476694.426274, lowerbound=1271161.426274, norm of subgrad 36.115770	 stepsize= 1.000000 
-dualbound = 3476768.219818, lowerbound=1274487.219818, norm of subgrad 1129.451734	dualbound = 3476768.219818, lowerbound=1274487.219818, norm of subgrad 35.324121	 stepsize= 1.000000 
-dualbound = 3476861.188651, lowerbound=1273645.188651, norm of subgrad 1129.070498	dualbound = 3476861.188651, lowerbound=1273645.188651, norm of subgrad 35.326602	 stepsize= 1.000000 
-dualbound = 3476938.720189, lowerbound=1281231.720189, norm of subgrad 1132.451641	dualbound = 3476938.720189, lowerbound=1281231.720189, norm of subgrad 35.951795	 stepsize= 1.000000 
-dualbound = 3476994.440008, lowerbound=1270495.440008, norm of subgrad 1127.688982	dualbound = 3476994.440008, lowerbound=1270495.440008, norm of subgrad 35.252231	 stepsize= 1.000000 
-dualbound = 3477071.282596, lowerbound=1273372.282596, norm of subgrad 1128.993925	dualbound = 3477071.282596, lowerbound=1273372.282596, norm of subgrad 36.494419	 stepsize= 1.000000 
-dualbound = 3477157.941943, lowerbound=1271967.941943, norm of subgrad 1128.366493	dualbound = 3477157.941943, lowerbound=1271967.941943, norm of subgrad 36.464494	 stepsize= 1.000000 
-dualbound = 3477219.086637, lowerbound=1275394.086637, norm of subgrad 1129.869500	dualbound = 3477219.086637, lowerbound=1275394.086637, norm of subgrad 35.667137	 stepsize= 1.000000 
-dualbound = 3477327.145066, lowerbound=1265916.145066, norm of subgrad 1125.622559	dualbound = 3477327.145066, lowerbound=1265916.145066, norm of subgrad 34.900694	 stepsize= 1.000000 
-dualbound = 3477416.995435, lowerbound=1280414.995435, norm of subgrad 1132.055650	dualbound = 3477416.995435, lowerbound=1280414.995435, norm of subgrad 34.997862	 stepsize= 1.000000 
-dualbound = 3477457.057666, lowerbound=1275523.057666, norm of subgrad 1129.904004	dualbound = 3477457.057666, lowerbound=1275523.057666, norm of subgrad 34.641914	 stepsize= 1.000000 
-dualbound = 3477553.160568, lowerbound=1279496.160568, norm of subgrad 1131.651519	dualbound = 3477553.160568, lowerbound=1279496.160568, norm of subgrad 35.144031	 stepsize= 1.000000 
-dualbound = 3477625.622706, lowerbound=1266711.622706, norm of subgrad 1126.019370	dualbound = 3477625.622706, lowerbound=1266711.622706, norm of subgrad 35.783546	 stepsize= 1.000000 
-dualbound = 3477691.617914, lowerbound=1282089.617914, norm of subgrad 1132.814026	dualbound = 3477691.617914, lowerbound=1282089.617914, norm of subgrad 35.270316	 stepsize= 1.000000 
-dualbound = 3477778.343922, lowerbound=1274038.343922, norm of subgrad 1129.244590	dualbound = 3477778.343922, lowerbound=1274038.343922, norm of subgrad 35.238133	 stepsize= 1.000000 
-dualbound = 3477854.241037, lowerbound=1274572.241037, norm of subgrad 1129.507079	dualbound = 3477854.241037, lowerbound=1274572.241037, norm of subgrad 35.915138	 stepsize= 1.000000 
-dualbound = 3477917.224720, lowerbound=1275039.224720, norm of subgrad 1129.736352	dualbound = 3477917.224720, lowerbound=1275039.224720, norm of subgrad 36.441510	 stepsize= 1.000000 
-dualbound = 3477978.426906, lowerbound=1270945.426906, norm of subgrad 1127.913750	dualbound = 3477978.426906, lowerbound=1270945.426906, norm of subgrad 36.127582	 stepsize= 1.000000 
-dualbound = 3478062.162433, lowerbound=1282849.162433, norm of subgrad 1133.167314	dualbound = 3478062.162433, lowerbound=1282849.162433, norm of subgrad 36.093428	 stepsize= 1.000000 
-dualbound = 3478151.746949, lowerbound=1272122.746949, norm of subgrad 1128.422238	dualbound = 3478151.746949, lowerbound=1272122.746949, norm of subgrad 36.105187	 stepsize= 1.000000 
-dualbound = 3478232.956842, lowerbound=1276473.956842, norm of subgrad 1130.349042	dualbound = 3478232.956842, lowerbound=1276473.956842, norm of subgrad 36.002915	 stepsize= 1.000000 
-dualbound = 3478318.142519, lowerbound=1275296.142519, norm of subgrad 1129.817747	dualbound = 3478318.142519, lowerbound=1275296.142519, norm of subgrad 35.737735	 stepsize= 1.000000 
-dualbound = 3478374.406805, lowerbound=1274181.406805, norm of subgrad 1129.381427	dualbound = 3478374.406805, lowerbound=1274181.406805, norm of subgrad 37.111512	 stepsize= 1.000000 
-dualbound = 3478437.724464, lowerbound=1273199.724464, norm of subgrad 1128.923259	dualbound = 3478437.724464, lowerbound=1273199.724464, norm of subgrad 36.487226	 stepsize= 1.000000 
-dualbound = 3478539.893472, lowerbound=1268000.893472, norm of subgrad 1126.591272	dualbound = 3478539.893472, lowerbound=1268000.893472, norm of subgrad 36.182441	 stepsize= 1.000000 
-dualbound = 3478613.143741, lowerbound=1276358.143741, norm of subgrad 1130.296485	dualbound = 3478613.143741, lowerbound=1276358.143741, norm of subgrad 35.850387	 stepsize= 1.000000 
-dualbound = 3478711.660472, lowerbound=1267660.660472, norm of subgrad 1126.450026	dualbound = 3478711.660472, lowerbound=1267660.660472, norm of subgrad 36.435103	 stepsize= 1.000000 
-dualbound = 3478789.406367, lowerbound=1276295.406367, norm of subgrad 1130.253691	dualbound = 3478789.406367, lowerbound=1276295.406367, norm of subgrad 35.436505	 stepsize= 1.000000 
-dualbound = 3478867.936083, lowerbound=1273759.936083, norm of subgrad 1129.122640	dualbound = 3478867.936083, lowerbound=1273759.936083, norm of subgrad 35.164324	 stepsize= 1.000000 
-dualbound = 3478964.902307, lowerbound=1272106.902307, norm of subgrad 1128.411229	dualbound = 3478964.902307, lowerbound=1272106.902307, norm of subgrad 36.082769	 stepsize= 1.000000 
-dualbound = 3479004.259103, lowerbound=1278263.259103, norm of subgrad 1131.145994	dualbound = 3479004.259103, lowerbound=1278263.259103, norm of subgrad 35.599955	 stepsize= 1.000000 
-dualbound = 3479099.623695, lowerbound=1271294.623695, norm of subgrad 1128.046818	dualbound = 3479099.623695, lowerbound=1271294.623695, norm of subgrad 35.921645	 stepsize= 1.000000 
-dualbound = 3479165.584945, lowerbound=1276497.584945, norm of subgrad 1130.378514	dualbound = 3479165.584945, lowerbound=1276497.584945, norm of subgrad 36.386278	 stepsize= 1.000000 
-dualbound = 3479235.825246, lowerbound=1269735.825246, norm of subgrad 1127.345034	dualbound = 3479235.825246, lowerbound=1269735.825246, norm of subgrad 35.231240	 stepsize= 1.000000 
-dualbound = 3479328.927020, lowerbound=1276152.927020, norm of subgrad 1130.177387	dualbound = 3479328.927020, lowerbound=1276152.927020, norm of subgrad 35.229274	 stepsize= 1.000000 
-dualbound = 3479407.114861, lowerbound=1267915.114861, norm of subgrad 1126.542105	dualbound = 3479407.114861, lowerbound=1267915.114861, norm of subgrad 35.499125	 stepsize= 1.000000 
-dualbound = 3479474.186000, lowerbound=1277777.186000, norm of subgrad 1130.909451	dualbound = 3479474.186000, lowerbound=1277777.186000, norm of subgrad 35.299733	 stepsize= 1.000000 
-dualbound = 3479542.530971, lowerbound=1273943.530971, norm of subgrad 1129.223419	dualbound = 3479542.530971, lowerbound=1273943.530971, norm of subgrad 35.641899	 stepsize= 1.000000 
-dualbound = 3479614.303756, lowerbound=1273459.303756, norm of subgrad 1129.012092	dualbound = 3479614.303756, lowerbound=1273459.303756, norm of subgrad 35.787886	 stepsize= 1.000000 
-dualbound = 3479695.765753, lowerbound=1272072.765753, norm of subgrad 1128.399648	dualbound = 3479695.765753, lowerbound=1272072.765753, norm of subgrad 35.978633	 stepsize= 1.000000 
-dualbound = 3479752.721846, lowerbound=1274969.721846, norm of subgrad 1129.667970	dualbound = 3479752.721846, lowerbound=1274969.721846, norm of subgrad 35.170387	 stepsize= 1.000000 
-dualbound = 3479878.709923, lowerbound=1269397.709923, norm of subgrad 1127.187078	dualbound = 3479878.709923, lowerbound=1269397.709923, norm of subgrad 35.762943	 stepsize= 1.000000 
-dualbound = 3479944.049592, lowerbound=1275609.049592, norm of subgrad 1129.952676	dualbound = 3479944.049592, lowerbound=1275609.049592, norm of subgrad 35.345999	 stepsize= 1.000000 
-dualbound = 3480020.497642, lowerbound=1272858.497642, norm of subgrad 1128.736682	dualbound = 3480020.497642, lowerbound=1272858.497642, norm of subgrad 35.559078	 stepsize= 1.000000 
-dualbound = 3480085.906396, lowerbound=1272591.906396, norm of subgrad 1128.634089	dualbound = 3480085.906396, lowerbound=1272591.906396, norm of subgrad 35.894411	 stepsize= 1.000000 
-dualbound = 3480157.070093, lowerbound=1279105.070093, norm of subgrad 1131.533062	dualbound = 3480157.070093, lowerbound=1279105.070093, norm of subgrad 36.512514	 stepsize= 1.000000 
-dualbound = 3480248.736628, lowerbound=1272386.736628, norm of subgrad 1128.523255	dualbound = 3480248.736628, lowerbound=1272386.736628, norm of subgrad 35.632380	 stepsize= 1.000000 
-dualbound = 3480335.481831, lowerbound=1277963.481831, norm of subgrad 1131.022317	dualbound = 3480335.481831, lowerbound=1277963.481831, norm of subgrad 36.534165	 stepsize= 1.000000 
-dualbound = 3480401.291295, lowerbound=1275261.291295, norm of subgrad 1129.808520	dualbound = 3480401.291295, lowerbound=1275261.291295, norm of subgrad 35.662438	 stepsize= 1.000000 
-dualbound = 3480477.821897, lowerbound=1279241.821897, norm of subgrad 1131.583767	dualbound = 3480477.821897, lowerbound=1279241.821897, norm of subgrad 36.284027	 stepsize= 1.000000 
-dualbound = 3480553.082608, lowerbound=1272070.082608, norm of subgrad 1128.395357	dualbound = 3480553.082608, lowerbound=1272070.082608, norm of subgrad 35.794702	 stepsize= 1.000000 
-dualbound = 3480643.119489, lowerbound=1271828.119489, norm of subgrad 1128.316055	dualbound = 3480643.119489, lowerbound=1271828.119489, norm of subgrad 36.865117	 stepsize= 1.000000 
-dualbound = 3480676.205567, lowerbound=1277616.205567, norm of subgrad 1130.859941	dualbound = 3480676.205567, lowerbound=1277616.205567, norm of subgrad 35.511774	 stepsize= 1.000000 
-dualbound = 3480798.195072, lowerbound=1273917.195072, norm of subgrad 1129.217957	dualbound = 3480798.195072, lowerbound=1273917.195072, norm of subgrad 36.578539	 stepsize= 1.000000 
-dualbound = 3480864.399232, lowerbound=1277040.399232, norm of subgrad 1130.589403	dualbound = 3480864.399232, lowerbound=1277040.399232, norm of subgrad 35.471174	 stepsize= 1.000000 
-dualbound = 3480962.707516, lowerbound=1276859.707516, norm of subgrad 1130.501971	dualbound = 3480962.707516, lowerbound=1276859.707516, norm of subgrad 35.683446	 stepsize= 1.000000 
-dualbound = 3481036.677843, lowerbound=1273828.677843, norm of subgrad 1129.191161	dualbound = 3481036.677843, lowerbound=1273828.677843, norm of subgrad 36.303861	 stepsize= 1.000000 
-dualbound = 3481077.587636, lowerbound=1270610.587636, norm of subgrad 1127.767967	dualbound = 3481077.587636, lowerbound=1270610.587636, norm of subgrad 35.929233	 stepsize= 1.000000 
-dualbound = 3481174.515194, lowerbound=1270677.515194, norm of subgrad 1127.741333	dualbound = 3481174.515194, lowerbound=1270677.515194, norm of subgrad 34.927461	 stepsize= 1.000000 
-dualbound = 3481276.363713, lowerbound=1275857.363713, norm of subgrad 1130.049717	dualbound = 3481276.363713, lowerbound=1275857.363713, norm of subgrad 35.452059	 stepsize= 1.000000 
-dualbound = 3481340.710240, lowerbound=1276018.710240, norm of subgrad 1130.129068	dualbound = 3481340.710240, lowerbound=1276018.710240, norm of subgrad 35.175937	 stepsize= 1.000000 
-dualbound = 3481411.116655, lowerbound=1278318.116655, norm of subgrad 1131.171568	dualbound = 3481411.116655, lowerbound=1278318.116655, norm of subgrad 36.075011	 stepsize= 1.000000 
-dualbound = 3481485.740685, lowerbound=1273257.740685, norm of subgrad 1128.911751	dualbound = 3481485.740685, lowerbound=1273257.740685, norm of subgrad 35.477092	 stepsize= 1.000000 
-dualbound = 3481577.357673, lowerbound=1271375.357673, norm of subgrad 1128.099888	dualbound = 3481577.357673, lowerbound=1271375.357673, norm of subgrad 36.409023	 stepsize= 1.000000 
-dualbound = 3481643.697628, lowerbound=1279743.697628, norm of subgrad 1131.814339	dualbound = 3481643.697628, lowerbound=1279743.697628, norm of subgrad 36.418950	 stepsize= 1.000000 
-dualbound = 3481697.005509, lowerbound=1268630.005509, norm of subgrad 1126.882871	dualbound = 3481697.005509, lowerbound=1268630.005509, norm of subgrad 35.893006	 stepsize= 1.000000 
-dualbound = 3481825.948055, lowerbound=1277005.948055, norm of subgrad 1130.569303	dualbound = 3481825.948055, lowerbound=1277005.948055, norm of subgrad 36.193128	 stepsize= 1.000000 
-dualbound = 3481871.057238, lowerbound=1271612.057238, norm of subgrad 1128.193714	dualbound = 3481871.057238, lowerbound=1271612.057238, norm of subgrad 35.413404	 stepsize= 1.000000 
-dualbound = 3481971.266399, lowerbound=1275628.266399, norm of subgrad 1129.954099	dualbound = 3481971.266399, lowerbound=1275628.266399, norm of subgrad 35.611924	 stepsize= 1.000000 
-dualbound = 3482055.840031, lowerbound=1272382.840031, norm of subgrad 1128.524187	dualbound = 3482055.840031, lowerbound=1272382.840031, norm of subgrad 35.617041	 stepsize= 1.000000 
-dualbound = 3482111.916570, lowerbound=1276758.916570, norm of subgrad 1130.483046	dualbound = 3482111.916570, lowerbound=1276758.916570, norm of subgrad 35.903712	 stepsize= 1.000000 
-dualbound = 3482187.050942, lowerbound=1275179.050942, norm of subgrad 1129.802660	dualbound = 3482187.050942, lowerbound=1275179.050942, norm of subgrad 36.744175	 stepsize= 1.000000 
-dualbound = 3482249.241947, lowerbound=1270117.241947, norm of subgrad 1127.523943	dualbound = 3482249.241947, lowerbound=1270117.241947, norm of subgrad 35.428675	 stepsize= 1.000000 
-dualbound = 3482347.791607, lowerbound=1277466.791607, norm of subgrad 1130.806699	dualbound = 3482347.791607, lowerbound=1277466.791607, norm of subgrad 36.817790	 stepsize= 1.000000 
-dualbound = 3482405.582550, lowerbound=1276493.582550, norm of subgrad 1130.367897	dualbound = 3482405.582550, lowerbound=1276493.582550, norm of subgrad 35.997096	 stepsize= 1.000000 
-dualbound = 3482504.392863, lowerbound=1279433.392863, norm of subgrad 1131.674597	dualbound = 3482504.392863, lowerbound=1279433.392863, norm of subgrad 36.780570	 stepsize= 1.000000 
-dualbound = 3482564.433516, lowerbound=1276201.433516, norm of subgrad 1130.232026	dualbound = 3482564.433516, lowerbound=1276201.433516, norm of subgrad 35.819557	 stepsize= 1.000000 
-dualbound = 3482665.701092, lowerbound=1270315.701092, norm of subgrad 1127.615493	dualbound = 3482665.701092, lowerbound=1270315.701092, norm of subgrad 36.086945	 stepsize= 1.000000 
-dualbound = 3482756.636314, lowerbound=1277258.636314, norm of subgrad 1130.652748	dualbound = 3482756.636314, lowerbound=1277258.636314, norm of subgrad 34.755362	 stepsize= 1.000000 
-dualbound = 3482810.006349, lowerbound=1269103.006349, norm of subgrad 1127.089174	dualbound = 3482810.006349, lowerbound=1269103.006349, norm of subgrad 35.782259	 stepsize= 1.000000 
-dualbound = 3482887.886520, lowerbound=1271378.886520, norm of subgrad 1128.092588	dualbound = 3482887.886520, lowerbound=1271378.886520, norm of subgrad 35.942735	 stepsize= 1.000000 
-dualbound = 3482946.124967, lowerbound=1273214.124967, norm of subgrad 1128.915907	dualbound = 3482946.124967, lowerbound=1273214.124967, norm of subgrad 35.989421	 stepsize= 1.000000 
-dualbound = 3483053.125970, lowerbound=1274407.125970, norm of subgrad 1129.424688	dualbound = 3483053.125970, lowerbound=1274407.125970, norm of subgrad 36.055527	 stepsize= 1.000000 
-dualbound = 3483126.677747, lowerbound=1270973.677747, norm of subgrad 1127.925830	dualbound = 3483126.677747, lowerbound=1270973.677747, norm of subgrad 36.284319	 stepsize= 1.000000 
-dualbound = 3483185.189099, lowerbound=1273869.189099, norm of subgrad 1129.221054	dualbound = 3483185.189099, lowerbound=1273869.189099, norm of subgrad 36.462465	 stepsize= 1.000000 
-dualbound = 3483274.415376, lowerbound=1273077.415376, norm of subgrad 1128.846941	dualbound = 3483274.415376, lowerbound=1273077.415376, norm of subgrad 36.155584	 stepsize= 1.000000 
-dualbound = 3483354.254122, lowerbound=1273659.254122, norm of subgrad 1129.090897	dualbound = 3483354.254122, lowerbound=1273659.254122, norm of subgrad 35.592678	 stepsize= 1.000000 
-dualbound = 3483423.066345, lowerbound=1273762.066345, norm of subgrad 1129.187348	dualbound = 3483423.066345, lowerbound=1273762.066345, norm of subgrad 37.024481	 stepsize= 1.000000 
-dualbound = 3483478.681946, lowerbound=1281008.681946, norm of subgrad 1132.351837	dualbound = 3483478.681946, lowerbound=1281008.681946, norm of subgrad 35.603590	 stepsize= 1.000000 
-dualbound = 3483578.269844, lowerbound=1274381.269844, norm of subgrad 1129.404387	dualbound = 3483578.269844, lowerbound=1274381.269844, norm of subgrad 35.673350	 stepsize= 1.000000 
-dualbound = 3483665.367373, lowerbound=1276509.367373, norm of subgrad 1130.354089	dualbound = 3483665.367373, lowerbound=1276509.367373, norm of subgrad 35.750490	 stepsize= 1.000000 
-dualbound = 3483745.767898, lowerbound=1272191.767898, norm of subgrad 1128.459910	dualbound = 3483745.767898, lowerbound=1272191.767898, norm of subgrad 36.199455	 stepsize= 1.000000 
-dualbound = 3483816.567222, lowerbound=1277631.567222, norm of subgrad 1130.851700	dualbound = 3483816.567222, lowerbound=1277631.567222, norm of subgrad 35.564017	 stepsize= 1.000000 
-dualbound = 3483888.601176, lowerbound=1272289.601176, norm of subgrad 1128.503257	dualbound = 3483888.601176, lowerbound=1272289.601176, norm of subgrad 36.083708	 stepsize= 1.000000 
-dualbound = 3483986.561949, lowerbound=1279729.561949, norm of subgrad 1131.769218	dualbound = 3483986.561949, lowerbound=1279729.561949, norm of subgrad 35.636509	 stepsize= 1.000000 
-dualbound = 3484050.635964, lowerbound=1273457.635964, norm of subgrad 1129.014453	dualbound = 3484050.635964, lowerbound=1273457.635964, norm of subgrad 35.778122	 stepsize= 1.000000 
-dualbound = 3484117.090475, lowerbound=1280251.090475, norm of subgrad 1132.044209	dualbound = 3484117.090475, lowerbound=1280251.090475, norm of subgrad 36.598559	 stepsize= 1.000000 
-dualbound = 3484192.788280, lowerbound=1270505.788280, norm of subgrad 1127.709088	dualbound = 3484192.788280, lowerbound=1270505.788280, norm of subgrad 36.023573	 stepsize= 1.000000 
-dualbound = 3484277.649311, lowerbound=1274816.649311, norm of subgrad 1129.602430	dualbound = 3484277.649311, lowerbound=1274816.649311, norm of subgrad 35.635110	 stepsize= 1.000000 
-dualbound = 3484355.615874, lowerbound=1269356.615874, norm of subgrad 1127.198570	dualbound = 3484355.615874, lowerbound=1269356.615874, norm of subgrad 36.027303	 stepsize= 1.000000 
-dualbound = 3484416.209398, lowerbound=1278333.209398, norm of subgrad 1131.163211	dualbound = 3484416.209398, lowerbound=1278333.209398, norm of subgrad 35.462565	 stepsize= 1.000000 
-dualbound = 3484525.950000, lowerbound=1275559.950000, norm of subgrad 1129.934932	dualbound = 3484525.950000, lowerbound=1275559.950000, norm of subgrad 36.093498	 stepsize= 1.000000 
-dualbound = 3484567.618994, lowerbound=1278331.618994, norm of subgrad 1131.173116	dualbound = 3484567.618994, lowerbound=1278331.618994, norm of subgrad 35.534054	 stepsize= 1.000000 
-dualbound = 3484662.035825, lowerbound=1270174.035825, norm of subgrad 1127.554449	dualbound = 3484662.035825, lowerbound=1270174.035825, norm of subgrad 36.047425	 stepsize= 1.000000 
-dualbound = 3484739.227225, lowerbound=1279560.227225, norm of subgrad 1131.707218	dualbound = 3484739.227225, lowerbound=1279560.227225, norm of subgrad 35.751803	 stepsize= 1.000000 
-dualbound = 3484826.766255, lowerbound=1273052.766255, norm of subgrad 1128.809446	dualbound = 3484826.766255, lowerbound=1273052.766255, norm of subgrad 35.292195	 stepsize= 1.000000 
-dualbound = 3484908.720508, lowerbound=1282041.720508, norm of subgrad 1132.808775	dualbound = 3484908.720508, lowerbound=1282041.720508, norm of subgrad 35.999365	 stepsize= 1.000000 
-dualbound = 3484960.839684, lowerbound=1269688.839684, norm of subgrad 1127.336613	dualbound = 3484960.839684, lowerbound=1269688.839684, norm of subgrad 35.371163	 stepsize= 1.000000 
-dualbound = 3485041.710486, lowerbound=1275100.710486, norm of subgrad 1129.767990	dualbound = 3485041.710486, lowerbound=1275100.710486, norm of subgrad 36.822151	 stepsize= 1.000000 
-dualbound = 3485094.483891, lowerbound=1275963.483891, norm of subgrad 1130.127641	dualbound = 3485094.483891, lowerbound=1275963.483891, norm of subgrad 35.745956	 stepsize= 1.000000 
-dualbound = 3485203.327841, lowerbound=1271638.327841, norm of subgrad 1128.185414	dualbound = 3485203.327841, lowerbound=1271638.327841, norm of subgrad 35.676939	 stepsize= 1.000000 
-dualbound = 3485291.398477, lowerbound=1276787.398477, norm of subgrad 1130.462913	dualbound = 3485291.398477, lowerbound=1276787.398477, norm of subgrad 35.313887	 stepsize= 1.000000 
-dualbound = 3485342.733805, lowerbound=1271904.733805, norm of subgrad 1128.310123	dualbound = 3485342.733805, lowerbound=1271904.733805, norm of subgrad 35.076136	 stepsize= 1.000000 
-dualbound = 3485422.959342, lowerbound=1273354.959342, norm of subgrad 1128.979610	dualbound = 3485422.959342, lowerbound=1273354.959342, norm of subgrad 36.334908	 stepsize= 1.000000 
-dualbound = 3485470.240891, lowerbound=1276572.240891, norm of subgrad 1130.444267	dualbound = 3485470.240891, lowerbound=1276572.240891, norm of subgrad 37.138680	 stepsize= 1.000000 
-dualbound = 3485557.690529, lowerbound=1277661.690529, norm of subgrad 1130.862808	dualbound = 3485557.690529, lowerbound=1277661.690529, norm of subgrad 35.727435	 stepsize= 1.000000 
-dualbound = 3485647.312272, lowerbound=1270280.312272, norm of subgrad 1127.641482	dualbound = 3485647.312272, lowerbound=1270280.312272, norm of subgrad 37.210506	 stepsize= 1.000000 
-dualbound = 3485731.966598, lowerbound=1280607.966598, norm of subgrad 1132.168259	dualbound = 3485731.966598, lowerbound=1280607.966598, norm of subgrad 35.800200	 stepsize= 1.000000 
-dualbound = 3485793.818841, lowerbound=1272343.818841, norm of subgrad 1128.548102	dualbound = 3485793.818841, lowerbound=1272343.818841, norm of subgrad 36.590330	 stepsize= 1.000000 
-dualbound = 3485875.129974, lowerbound=1278714.129974, norm of subgrad 1131.330690	dualbound = 3485875.129974, lowerbound=1278714.129974, norm of subgrad 35.725497	 stepsize= 1.000000 
-dualbound = 3485985.426507, lowerbound=1272976.426507, norm of subgrad 1128.796450	dualbound = 3485985.426507, lowerbound=1272976.426507, norm of subgrad 36.267017	 stepsize= 1.000000 
-dualbound = 3486027.819324, lowerbound=1273421.819324, norm of subgrad 1129.026492	dualbound = 3486027.819324, lowerbound=1273421.819324, norm of subgrad 36.350967	 stepsize= 1.000000 
-dualbound = 3486095.350514, lowerbound=1269623.350514, norm of subgrad 1127.352807	dualbound = 3486095.350514, lowerbound=1269623.350514, norm of subgrad 36.993664	 stepsize= 1.000000 
-dualbound = 3486174.921767, lowerbound=1279654.921767, norm of subgrad 1131.765400	dualbound = 3486174.921767, lowerbound=1279654.921767, norm of subgrad 36.298364	 stepsize= 1.000000 
-dualbound = 3486272.077255, lowerbound=1269903.077255, norm of subgrad 1127.453803	dualbound = 3486272.077255, lowerbound=1269903.077255, norm of subgrad 36.689992	 stepsize= 1.000000 
-dualbound = 3486343.429588, lowerbound=1276539.429588, norm of subgrad 1130.356329	dualbound = 3486343.429588, lowerbound=1276539.429588, norm of subgrad 35.176019	 stepsize= 1.000000 
-dualbound = 3486433.878134, lowerbound=1268811.878134, norm of subgrad 1126.943157	dualbound = 3486433.878134, lowerbound=1268811.878134, norm of subgrad 35.769380	 stepsize= 1.000000 
-dualbound = 3486504.425466, lowerbound=1278039.425466, norm of subgrad 1131.038649	dualbound = 3486504.425466, lowerbound=1278039.425466, norm of subgrad 35.770761	 stepsize= 1.000000 
-dualbound = 3486572.277870, lowerbound=1272933.277870, norm of subgrad 1128.786197	dualbound = 3486572.277870, lowerbound=1272933.277870, norm of subgrad 35.956257	 stepsize= 1.000000 
-dualbound = 3486649.070947, lowerbound=1276898.070947, norm of subgrad 1130.564050	dualbound = 3486649.070947, lowerbound=1276898.070947, norm of subgrad 36.793927	 stepsize= 1.000000 
-dualbound = 3486715.671043, lowerbound=1277672.671043, norm of subgrad 1130.887117	dualbound = 3486715.671043, lowerbound=1277672.671043, norm of subgrad 36.049967	 stepsize= 1.000000 
-dualbound = 3486814.544247, lowerbound=1275560.544247, norm of subgrad 1129.928115	dualbound = 3486814.544247, lowerbound=1275560.544247, norm of subgrad 35.719367	 stepsize= 1.000000 
-dualbound = 3486905.898785, lowerbound=1274122.898785, norm of subgrad 1129.273173	dualbound = 3486905.898785, lowerbound=1274122.898785, norm of subgrad 35.019345	 stepsize= 1.000000 
-dualbound = 3486971.698735, lowerbound=1275775.698735, norm of subgrad 1130.031725	dualbound = 3486971.698735, lowerbound=1275775.698735, norm of subgrad 35.521824	 stepsize= 1.000000 
-dualbound = 3487048.305513, lowerbound=1280010.305513, norm of subgrad 1131.885730	dualbound = 3487048.305513, lowerbound=1280010.305513, norm of subgrad 35.094256	 stepsize= 1.000000 
-dualbound = 3487124.619468, lowerbound=1272764.619468, norm of subgrad 1128.707057	dualbound = 3487124.619468, lowerbound=1272764.619468, norm of subgrad 35.934857	 stepsize= 1.000000 
-dualbound = 3487204.792871, lowerbound=1280692.792871, norm of subgrad 1132.212344	dualbound = 3487204.792871, lowerbound=1280692.792871, norm of subgrad 35.946814	 stepsize= 1.000000 
-dualbound = 3487264.738154, lowerbound=1275207.738154, norm of subgrad 1129.790573	dualbound = 3487264.738154, lowerbound=1275207.738154, norm of subgrad 35.762344	 stepsize= 1.000000 
-dualbound = 3487350.926141, lowerbound=1278303.926141, norm of subgrad 1131.152035	dualbound = 3487350.926141, lowerbound=1278303.926141, norm of subgrad 35.877402	 stepsize= 1.000000 
-dualbound = 3487445.805776, lowerbound=1273360.805776, norm of subgrad 1128.936139	dualbound = 3487445.805776, lowerbound=1273360.805776, norm of subgrad 35.083894	 stepsize= 1.000000 
-dualbound = 3487527.525491, lowerbound=1278300.525491, norm of subgrad 1131.145227	dualbound = 3487527.525491, lowerbound=1278300.525491, norm of subgrad 35.647156	 stepsize= 1.000000 
-dualbound = 3487573.512242, lowerbound=1272173.512242, norm of subgrad 1128.435870	dualbound = 3487573.512242, lowerbound=1272173.512242, norm of subgrad 35.213446	 stepsize= 1.000000 
-dualbound = 3487635.446297, lowerbound=1273784.446297, norm of subgrad 1129.160062	dualbound = 3487635.446297, lowerbound=1273784.446297, norm of subgrad 35.776166	 stepsize= 1.000000 
-dualbound = 3487729.056228, lowerbound=1276207.056228, norm of subgrad 1130.228763	dualbound = 3487729.056228, lowerbound=1276207.056228, norm of subgrad 36.105539	 stepsize= 1.000000 
-dualbound = 3487806.199722, lowerbound=1278174.199722, norm of subgrad 1131.084966	dualbound = 3487806.199722, lowerbound=1278174.199722, norm of subgrad 35.442115	 stepsize= 1.000000 
-dualbound = 3487895.321077, lowerbound=1270263.321077, norm of subgrad 1127.585172	dualbound = 3487895.321077, lowerbound=1270263.321077, norm of subgrad 35.694837	 stepsize= 1.000000 
-dualbound = 3487949.326826, lowerbound=1278272.326826, norm of subgrad 1131.139835	dualbound = 3487949.326826, lowerbound=1278272.326826, norm of subgrad 35.482471	 stepsize= 1.000000 
-dualbound = 3488031.275798, lowerbound=1269885.275798, norm of subgrad 1127.443691	dualbound = 3488031.275798, lowerbound=1269885.275798, norm of subgrad 36.413582	 stepsize= 1.000000 
-dualbound = 3488110.579003, lowerbound=1281802.579003, norm of subgrad 1132.683353	dualbound = 3488110.579003, lowerbound=1281802.579003, norm of subgrad 35.331335	 stepsize= 1.000000 
-dualbound = 3488205.345589, lowerbound=1274088.345589, norm of subgrad 1129.276027	dualbound = 3488205.345589, lowerbound=1274088.345589, norm of subgrad 35.647813	 stepsize= 1.000000 
-dualbound = 3488274.047889, lowerbound=1280525.047889, norm of subgrad 1132.098957	dualbound = 3488274.047889, lowerbound=1280525.047889, norm of subgrad 34.521041	 stepsize= 1.000000 
-dualbound = 3488358.409120, lowerbound=1276858.409120, norm of subgrad 1130.518646	dualbound = 3488358.409120, lowerbound=1276858.409120, norm of subgrad 36.032780	 stepsize= 1.000000 
-dualbound = 3488415.250617, lowerbound=1275092.250617, norm of subgrad 1129.707595	dualbound = 3488415.250617, lowerbound=1275092.250617, norm of subgrad 34.696419	 stepsize= 1.000000 
-dualbound = 3488501.864821, lowerbound=1273168.864821, norm of subgrad 1128.866186	dualbound = 3488501.864821, lowerbound=1273168.864821, norm of subgrad 35.448755	 stepsize= 1.000000 
-dualbound = 3488563.024952, lowerbound=1273812.024952, norm of subgrad 1129.204598	dualbound = 3488563.024952, lowerbound=1273812.024952, norm of subgrad 36.771730	 stepsize= 1.000000 
-dualbound = 3488600.157542, lowerbound=1278180.157542, norm of subgrad 1131.158768	dualbound = 3488600.157542, lowerbound=1278180.157542, norm of subgrad 37.109737	 stepsize= 1.000000 
-dualbound = 3488690.591220, lowerbound=1279609.591220, norm of subgrad 1131.775416	dualbound = 3488690.591220, lowerbound=1279609.591220, norm of subgrad 37.368886	 stepsize= 1.000000 
-dualbound = 3488746.957350, lowerbound=1272968.957350, norm of subgrad 1128.822819	dualbound = 3488746.957350, lowerbound=1272968.957350, norm of subgrad 36.446757	 stepsize= 1.000000 
-dualbound = 3488856.394297, lowerbound=1277792.394297, norm of subgrad 1130.959944	dualbound = 3488856.394297, lowerbound=1277792.394297, norm of subgrad 37.248315	 stepsize= 1.000000 
-dualbound = 3488924.667486, lowerbound=1275559.667486, norm of subgrad 1129.952949	dualbound = 3488924.667486, lowerbound=1275559.667486, norm of subgrad 36.087022	 stepsize= 1.000000 
-dualbound = 3488998.601990, lowerbound=1274106.601990, norm of subgrad 1129.283225	dualbound = 3488998.601990, lowerbound=1274106.601990, norm of subgrad 35.326116	 stepsize= 1.000000 
-dualbound = 3489077.181225, lowerbound=1274129.181225, norm of subgrad 1129.317573	dualbound = 3489077.181225, lowerbound=1274129.181225, norm of subgrad 36.160465	 stepsize= 1.000000 
-dualbound = 3489133.898718, lowerbound=1274310.898718, norm of subgrad 1129.408207	dualbound = 3489133.898718, lowerbound=1274310.898718, norm of subgrad 36.176201	 stepsize= 1.000000 
-dualbound = 3489229.377486, lowerbound=1276934.377486, norm of subgrad 1130.557994	dualbound = 3489229.377486, lowerbound=1276934.377486, norm of subgrad 36.365901	 stepsize= 1.000000 
-dualbound = 3489309.587154, lowerbound=1279031.587154, norm of subgrad 1131.470984	dualbound = 3489309.587154, lowerbound=1279031.587154, norm of subgrad 35.710078	 stepsize= 1.000000 
-dualbound = 3489387.505937, lowerbound=1280583.505937, norm of subgrad 1132.156573	dualbound = 3489387.505937, lowerbound=1280583.505937, norm of subgrad 35.677987	 stepsize= 1.000000 
-dualbound = 3489483.794601, lowerbound=1274516.794601, norm of subgrad 1129.471024	dualbound = 3489483.794601, lowerbound=1274516.794601, norm of subgrad 35.836973	 stepsize= 1.000000 
-dualbound = 3489537.047252, lowerbound=1275018.047252, norm of subgrad 1129.703964	dualbound = 3489537.047252, lowerbound=1275018.047252, norm of subgrad 35.584444	 stepsize= 1.000000 
-dualbound = 3489607.371760, lowerbound=1272384.371760, norm of subgrad 1128.557651	dualbound = 3489607.371760, lowerbound=1272384.371760, norm of subgrad 36.446186	 stepsize= 1.000000 
-dualbound = 3489674.267625, lowerbound=1275830.267625, norm of subgrad 1130.070470	dualbound = 3489674.267625, lowerbound=1275830.267625, norm of subgrad 35.998554	 stepsize= 1.000000 
-dualbound = 3489762.633369, lowerbound=1278394.633369, norm of subgrad 1131.214672	dualbound = 3489762.633369, lowerbound=1278394.633369, norm of subgrad 36.611006	 stepsize= 1.000000 
-dualbound = 3489835.738151, lowerbound=1273635.738151, norm of subgrad 1129.103068	dualbound = 3489835.738151, lowerbound=1273635.738151, norm of subgrad 36.209181	 stepsize= 1.000000 
-dualbound = 3489904.904758, lowerbound=1277889.904758, norm of subgrad 1130.987579	dualbound = 3489904.904758, lowerbound=1277889.904758, norm of subgrad 36.223840	 stepsize= 1.000000 
-dualbound = 3489980.839522, lowerbound=1273361.839522, norm of subgrad 1128.985757	dualbound = 3489980.839522, lowerbound=1273361.839522, norm of subgrad 36.372170	 stepsize= 1.000000 
-dualbound = 3490062.467857, lowerbound=1276960.467857, norm of subgrad 1130.570417	dualbound = 3490062.467857, lowerbound=1276960.467857, norm of subgrad 36.202601	 stepsize= 1.000000 
-dualbound = 3490143.257725, lowerbound=1274232.257725, norm of subgrad 1129.351698	dualbound = 3490143.257725, lowerbound=1274232.257725, norm of subgrad 35.830014	 stepsize= 1.000000 
-dualbound = 3490219.046096, lowerbound=1271398.046096, norm of subgrad 1128.103296	dualbound = 3490219.046096, lowerbound=1271398.046096, norm of subgrad 35.983168	 stepsize= 1.000000 
-dualbound = 3490291.907769, lowerbound=1280281.907769, norm of subgrad 1132.036619	dualbound = 3490291.907769, lowerbound=1280281.907769, norm of subgrad 36.025847	 stepsize= 1.000000 
-dualbound = 3490354.049191, lowerbound=1269918.049191, norm of subgrad 1127.418312	dualbound = 3490354.049191, lowerbound=1269918.049191, norm of subgrad 34.873219	 stepsize= 1.000000 
-dualbound = 3490479.743449, lowerbound=1277596.743449, norm of subgrad 1130.819501	dualbound = 3490479.743449, lowerbound=1277596.743449, norm of subgrad 35.800758	 stepsize= 1.000000 
-dualbound = 3490516.499000, lowerbound=1276169.499000, norm of subgrad 1130.218341	dualbound = 3490516.499000, lowerbound=1276169.499000, norm of subgrad 35.507120	 stepsize= 1.000000 
-dualbound = 3490616.566790, lowerbound=1275795.566790, norm of subgrad 1130.017950	dualbound = 3490616.566790, lowerbound=1275795.566790, norm of subgrad 35.285518	 stepsize= 1.000000 
-dualbound = 3490688.510388, lowerbound=1279810.510388, norm of subgrad 1131.804095	dualbound = 3490688.510388, lowerbound=1279810.510388, norm of subgrad 35.241220	 stepsize= 1.000000 
-dualbound = 3490769.734882, lowerbound=1277594.734882, norm of subgrad 1130.846910	dualbound = 3490769.734882, lowerbound=1277594.734882, norm of subgrad 36.072489	 stepsize= 1.000000 
-dualbound = 3490810.198935, lowerbound=1275627.198935, norm of subgrad 1129.999203	dualbound = 3490810.198935, lowerbound=1275627.198935, norm of subgrad 36.214142	 stepsize= 1.000000 
-dualbound = 3490902.706260, lowerbound=1275163.706260, norm of subgrad 1129.809146	dualbound = 3490902.706260, lowerbound=1275163.706260, norm of subgrad 37.383249	 stepsize= 1.000000 
-dualbound = 3490973.992018, lowerbound=1274328.992018, norm of subgrad 1129.401165	dualbound = 3490973.992018, lowerbound=1274328.992018, norm of subgrad 35.906626	 stepsize= 1.000000 
-dualbound = 3491052.095251, lowerbound=1279011.095251, norm of subgrad 1131.504351	dualbound = 3491052.095251, lowerbound=1279011.095251, norm of subgrad 37.001395	 stepsize= 1.000000 
-dualbound = 3491126.123475, lowerbound=1274393.123475, norm of subgrad 1129.437525	dualbound = 3491126.123475, lowerbound=1274393.123475, norm of subgrad 36.194312	 stepsize= 1.000000 
-dualbound = 3491209.449758, lowerbound=1278446.449758, norm of subgrad 1131.219895	dualbound = 3491209.449758, lowerbound=1278446.449758, norm of subgrad 35.990642	 stepsize= 1.000000 
-dualbound = 3491283.133886, lowerbound=1281777.133886, norm of subgrad 1132.687130	dualbound = 3491283.133886, lowerbound=1281777.133886, norm of subgrad 35.730717	 stepsize= 1.000000 
-dualbound = 3491351.900297, lowerbound=1277650.900297, norm of subgrad 1130.905345	dualbound = 3491351.900297, lowerbound=1277650.900297, norm of subgrad 36.942745	 stepsize= 1.000000 
-dualbound = 3491419.970843, lowerbound=1272727.970843, norm of subgrad 1128.699238	dualbound = 3491419.970843, lowerbound=1272727.970843, norm of subgrad 36.084215	 stepsize= 1.000000 
-dualbound = 3491491.709097, lowerbound=1280338.709097, norm of subgrad 1132.087324	dualbound = 3491491.709097, lowerbound=1280338.709097, norm of subgrad 36.806769	 stepsize= 1.000000 
-dualbound = 3491602.787607, lowerbound=1275481.787607, norm of subgrad 1129.901229	dualbound = 3491602.787607, lowerbound=1275481.787607, norm of subgrad 36.139708	 stepsize= 1.000000 
-dualbound = 3491658.946894, lowerbound=1275974.946894, norm of subgrad 1130.118997	dualbound = 3491658.946894, lowerbound=1275974.946894, norm of subgrad 35.357592	 stepsize= 1.000000 
-dualbound = 3491746.353798, lowerbound=1276157.353798, norm of subgrad 1130.234203	dualbound = 3491746.353798, lowerbound=1276157.353798, norm of subgrad 36.870136	 stepsize= 1.000000 
-dualbound = 3491797.256540, lowerbound=1276310.256540, norm of subgrad 1130.282379	dualbound = 3491797.256540, lowerbound=1276310.256540, norm of subgrad 35.761750	 stepsize= 1.000000 
-dualbound = 3491891.358887, lowerbound=1281085.358887, norm of subgrad 1132.409537	dualbound = 3491891.358887, lowerbound=1281085.358887, norm of subgrad 36.879565	 stepsize= 1.000000 
-dualbound = 3491945.691993, lowerbound=1282437.691993, norm of subgrad 1133.003395	dualbound = 3491945.691993, lowerbound=1282437.691993, norm of subgrad 36.239938	 stepsize= 1.000000 
-dualbound = 3492029.499455, lowerbound=1270651.499455, norm of subgrad 1127.752411	dualbound = 3492029.499455, lowerbound=1270651.499455, norm of subgrad 35.465581	 stepsize= 1.000000 
-dualbound = 3492105.929105, lowerbound=1272469.929105, norm of subgrad 1128.577835	dualbound = 3492105.929105, lowerbound=1272469.929105, norm of subgrad 35.978183	 stepsize= 1.000000 
-dualbound = 3492180.380793, lowerbound=1274701.380793, norm of subgrad 1129.540783	dualbound = 3492180.380793, lowerbound=1274701.380793, norm of subgrad 35.148993	 stepsize= 1.000000 
-dualbound = 3492276.870389, lowerbound=1278135.870389, norm of subgrad 1131.061833	dualbound = 3492276.870389, lowerbound=1278135.870389, norm of subgrad 35.517455	 stepsize= 1.000000 
-dualbound = 3492359.747374, lowerbound=1274866.747374, norm of subgrad 1129.606457	dualbound = 3492359.747374, lowerbound=1274866.747374, norm of subgrad 35.026804	 stepsize= 1.000000 
-dualbound = 3492419.717947, lowerbound=1281619.717947, norm of subgrad 1132.618964	dualbound = 3492419.717947, lowerbound=1281619.717947, norm of subgrad 35.580480	 stepsize= 1.000000 
-dualbound = 3492467.734091, lowerbound=1273443.734091, norm of subgrad 1129.017597	dualbound = 3492467.734091, lowerbound=1273443.734091, norm of subgrad 35.847122	 stepsize= 1.000000 
-dualbound = 3492554.306596, lowerbound=1274841.306596, norm of subgrad 1129.647426	dualbound = 3492554.306596, lowerbound=1274841.306596, norm of subgrad 36.722915	 stepsize= 1.000000 
-dualbound = 3492613.542748, lowerbound=1279236.542748, norm of subgrad 1131.563318	dualbound = 3492613.542748, lowerbound=1279236.542748, norm of subgrad 35.471625	 stepsize= 1.000000 
-dualbound = 3492706.456049, lowerbound=1274090.456049, norm of subgrad 1129.282718	dualbound = 3492706.456049, lowerbound=1274090.456049, norm of subgrad 35.803817	 stepsize= 1.000000 
-dualbound = 3492792.841619, lowerbound=1280623.841619, norm of subgrad 1132.178803	dualbound = 3492792.841619, lowerbound=1280623.841619, norm of subgrad 35.935854	 stepsize= 1.000000 
-dualbound = 3492848.750207, lowerbound=1268971.750207, norm of subgrad 1127.003882	dualbound = 3492848.750207, lowerbound=1268971.750207, norm of subgrad 34.955809	 stepsize= 1.000000 
-dualbound = 3492964.978253, lowerbound=1281776.978253, norm of subgrad 1132.711339	dualbound = 3492964.978253, lowerbound=1281776.978253, norm of subgrad 37.070582	 stepsize= 1.000000 
-dualbound = 3493000.359053, lowerbound=1276427.359053, norm of subgrad 1130.326660	dualbound = 3493000.359053, lowerbound=1276427.359053, norm of subgrad 35.304119	 stepsize= 1.000000 
-dualbound = 3493089.600046, lowerbound=1270165.600046, norm of subgrad 1127.553812	dualbound = 3493089.600046, lowerbound=1270165.600046, norm of subgrad 36.072718	 stepsize= 1.000000 
-dualbound = 3493144.431931, lowerbound=1276822.431931, norm of subgrad 1130.526175	dualbound = 3493144.431931, lowerbound=1276822.431931, norm of subgrad 36.357006	 stepsize= 1.000000 
-dualbound = 3493215.847001, lowerbound=1275385.847001, norm of subgrad 1129.913646	dualbound = 3493215.847001, lowerbound=1275385.847001, norm of subgrad 37.288270	 stepsize= 1.000000 
-dualbound = 3493281.852562, lowerbound=1273153.852562, norm of subgrad 1128.881682	dualbound = 3493281.852562, lowerbound=1273153.852562, norm of subgrad 35.860920	 stepsize= 1.000000 
-dualbound = 3493399.571506, lowerbound=1276332.571506, norm of subgrad 1130.277652	dualbound = 3493399.571506, lowerbound=1276332.571506, norm of subgrad 36.231463	 stepsize= 1.000000 
-dualbound = 3493464.569587, lowerbound=1279142.569587, norm of subgrad 1131.504118	dualbound = 3493464.569587, lowerbound=1279142.569587, norm of subgrad 34.985684	 stepsize= 1.000000 
-dualbound = 3493570.115190, lowerbound=1278334.115190, norm of subgrad 1131.134437	dualbound = 3493570.115190, lowerbound=1278334.115190, norm of subgrad 35.164550	 stepsize= 1.000000 
-dualbound = 3493621.148082, lowerbound=1280278.148082, norm of subgrad 1132.055718	dualbound = 3493621.148082, lowerbound=1280278.148082, norm of subgrad 36.373519	 stepsize= 1.000000 
-dualbound = 3493652.853331, lowerbound=1275613.853331, norm of subgrad 1129.981351	dualbound = 3493652.853331, lowerbound=1275613.853331, norm of subgrad 35.717016	 stepsize= 1.000000 
-dualbound = 3493763.788279, lowerbound=1279656.788279, norm of subgrad 1131.760924	dualbound = 3493763.788279, lowerbound=1279656.788279, norm of subgrad 36.564121	 stepsize= 1.000000 
-dualbound = 3493813.684435, lowerbound=1275754.684435, norm of subgrad 1130.049417	dualbound = 3493813.684435, lowerbound=1275754.684435, norm of subgrad 36.151019	 stepsize= 1.000000 
-dualbound = 3493893.236726, lowerbound=1277075.236726, norm of subgrad 1130.639747	dualbound = 3493893.236726, lowerbound=1277075.236726, norm of subgrad 36.749861	 stepsize= 1.000000 
-dualbound = 3493970.721378, lowerbound=1277920.721378, norm of subgrad 1130.981751	dualbound = 3493970.721378, lowerbound=1277920.721378, norm of subgrad 35.727925	 stepsize= 1.000000 
-dualbound = 3494075.179336, lowerbound=1277054.179336, norm of subgrad 1130.595055	dualbound = 3494075.179336, lowerbound=1277054.179336, norm of subgrad 35.992471	 stepsize= 1.000000 
-dualbound = 3494124.413636, lowerbound=1275554.413636, norm of subgrad 1129.932039	dualbound = 3494124.413636, lowerbound=1275554.413636, norm of subgrad 35.231155	 stepsize= 1.000000 
-dualbound = 3494217.993770, lowerbound=1276888.993770, norm of subgrad 1130.505636	dualbound = 3494217.993770, lowerbound=1276888.993770, norm of subgrad 35.321100	 stepsize= 1.000000 
-dualbound = 3494290.678584, lowerbound=1279389.678584, norm of subgrad 1131.648213	dualbound = 3494290.678584, lowerbound=1279389.678584, norm of subgrad 36.203381	 stepsize= 1.000000 
-dualbound = 3494373.330643, lowerbound=1275039.330643, norm of subgrad 1129.681075	dualbound = 3494373.330643, lowerbound=1275039.330643, norm of subgrad 34.966442	 stepsize= 1.000000 
-dualbound = 3494455.355802, lowerbound=1278375.355802, norm of subgrad 1131.188913	dualbound = 3494455.355802, lowerbound=1278375.355802, norm of subgrad 35.986458	 stepsize= 1.000000 
-dualbound = 3494534.846980, lowerbound=1272319.846980, norm of subgrad 1128.495834	dualbound = 3494534.846980, lowerbound=1272319.846980, norm of subgrad 35.531552	 stepsize= 1.000000 
-dualbound = 3494587.734631, lowerbound=1283845.734631, norm of subgrad 1133.632540	dualbound = 3494587.734631, lowerbound=1283845.734631, norm of subgrad 36.467625	 stepsize= 1.000000 
-dualbound = 3494646.467529, lowerbound=1271881.467529, norm of subgrad 1128.332162	dualbound = 3494646.467529, lowerbound=1271881.467529, norm of subgrad 36.204045	 stepsize= 1.000000 
-dualbound = 3494744.215860, lowerbound=1278072.215860, norm of subgrad 1131.074364	dualbound = 3494744.215860, lowerbound=1278072.215860, norm of subgrad 36.806906	 stepsize= 1.000000 
-dualbound = 3494803.062593, lowerbound=1272411.062593, norm of subgrad 1128.566375	dualbound = 3494803.062593, lowerbound=1272411.062593, norm of subgrad 36.191805	 stepsize= 1.000000 
-dualbound = 3494882.252787, lowerbound=1277711.252787, norm of subgrad 1130.920533	dualbound = 3494882.252787, lowerbound=1277711.252787, norm of subgrad 36.731324	 stepsize= 1.000000 
-dualbound = 3494960.724533, lowerbound=1271880.724533, norm of subgrad 1128.316766	dualbound = 3494960.724533, lowerbound=1271880.724533, norm of subgrad 36.006551	 stepsize= 1.000000 
-dualbound = 3495039.420963, lowerbound=1281171.420963, norm of subgrad 1132.436939	dualbound = 3495039.420963, lowerbound=1281171.420963, norm of subgrad 36.341387	 stepsize= 1.000000 
-dualbound = 3495115.175914, lowerbound=1277789.175914, norm of subgrad 1130.929342	dualbound = 3495115.175914, lowerbound=1277789.175914, norm of subgrad 35.885303	 stepsize= 1.000000 
-dualbound = 3495185.929464, lowerbound=1278184.929464, norm of subgrad 1131.121094	dualbound = 3495185.929464, lowerbound=1278184.929464, norm of subgrad 36.342173	 stepsize= 1.000000 
-dualbound = 3495266.241073, lowerbound=1276497.241073, norm of subgrad 1130.355803	dualbound = 3495266.241073, lowerbound=1276497.241073, norm of subgrad 35.879125	 stepsize= 1.000000 
-dualbound = 3495334.920715, lowerbound=1276141.920715, norm of subgrad 1130.231357	dualbound = 3495334.920715, lowerbound=1276141.920715, norm of subgrad 36.737986	 stepsize= 1.000000 
-dualbound = 3495400.786587, lowerbound=1270858.786587, norm of subgrad 1127.842980	dualbound = 3495400.786587, lowerbound=1270858.786587, norm of subgrad 35.169104	 stepsize= 1.000000 
-dualbound = 3495515.288637, lowerbound=1283301.288637, norm of subgrad 1133.380469	dualbound = 3495515.288637, lowerbound=1283301.288637, norm of subgrad 36.939167	 stepsize= 1.000000 
-dualbound = 3495562.634199, lowerbound=1273655.634199, norm of subgrad 1129.090180	dualbound = 3495562.634199, lowerbound=1273655.634199, norm of subgrad 35.161706	 stepsize= 1.000000 
-dualbound = 3495658.848744, lowerbound=1274585.848744, norm of subgrad 1129.502921	dualbound = 3495658.848744, lowerbound=1274585.848744, norm of subgrad 35.877772	 stepsize= 1.000000 
-dualbound = 3495739.658177, lowerbound=1273119.658177, norm of subgrad 1128.858121	dualbound = 3495739.658177, lowerbound=1273119.658177, norm of subgrad 35.802366	 stepsize= 1.000000 
-dualbound = 3495796.866362, lowerbound=1281128.866362, norm of subgrad 1132.411527	dualbound = 3495796.866362, lowerbound=1281128.866362, norm of subgrad 35.835851	 stepsize= 1.000000 
-dualbound = 3495879.802698, lowerbound=1279614.802698, norm of subgrad 1131.760930	dualbound = 3495879.802698, lowerbound=1279614.802698, norm of subgrad 36.755086	 stepsize= 1.000000 
-dualbound = 3495937.751862, lowerbound=1278033.751862, norm of subgrad 1131.051171	dualbound = 3495937.751862, lowerbound=1278033.751862, norm of subgrad 36.068673	 stepsize= 1.000000 
-dualbound = 3496007.506519, lowerbound=1275423.506519, norm of subgrad 1129.904202	dualbound = 3496007.506519, lowerbound=1275423.506519, norm of subgrad 36.465801	 stepsize= 1.000000 
-dualbound = 3496101.206759, lowerbound=1279707.206759, norm of subgrad 1131.786732	dualbound = 3496101.206759, lowerbound=1279707.206759, norm of subgrad 36.437621	 stepsize= 1.000000 
-dualbound = 3496198.911445, lowerbound=1277325.911445, norm of subgrad 1130.705493	dualbound = 3496198.911445, lowerbound=1277325.911445, norm of subgrad 35.590795	 stepsize= 1.000000 
-dualbound = 3496256.066035, lowerbound=1283240.066035, norm of subgrad 1133.351254	dualbound = 3496256.066035, lowerbound=1283240.066035, norm of subgrad 36.085379	 stepsize= 1.000000 
-dualbound = 3496297.018265, lowerbound=1277665.018265, norm of subgrad 1130.881965	dualbound = 3496297.018265, lowerbound=1277665.018265, norm of subgrad 35.636389	 stepsize= 1.000000 
-dualbound = 3496406.380311, lowerbound=1279793.380311, norm of subgrad 1131.806689	dualbound = 3496406.380311, lowerbound=1279793.380311, norm of subgrad 36.088254	 stepsize= 1.000000 
-dualbound = 3496460.351114, lowerbound=1274572.351114, norm of subgrad 1129.493847	dualbound = 3496460.351114, lowerbound=1274572.351114, norm of subgrad 35.184809	 stepsize= 1.000000 
-dualbound = 3496551.675545, lowerbound=1276047.675545, norm of subgrad 1130.133034	dualbound = 3496551.675545, lowerbound=1276047.675545, norm of subgrad 35.274983	 stepsize= 1.000000 
-dualbound = 3496645.803457, lowerbound=1278217.803457, norm of subgrad 1131.085233	dualbound = 3496645.803457, lowerbound=1278217.803457, norm of subgrad 35.073179	 stepsize= 1.000000 
-dualbound = 3496709.698901, lowerbound=1280823.698901, norm of subgrad 1132.241449	dualbound = 3496709.698901, lowerbound=1280823.698901, norm of subgrad 34.797923	 stepsize= 1.000000 
-dualbound = 3496773.011738, lowerbound=1274728.011738, norm of subgrad 1129.592410	dualbound = 3496773.011738, lowerbound=1274728.011738, norm of subgrad 36.253453	 stepsize= 1.000000 
-dualbound = 3496803.457915, lowerbound=1275532.457915, norm of subgrad 1129.928519	dualbound = 3496803.457915, lowerbound=1275532.457915, norm of subgrad 35.163137	 stepsize= 1.000000 
-dualbound = 3496928.970271, lowerbound=1280025.970271, norm of subgrad 1131.901043	dualbound = 3496928.970271, lowerbound=1280025.970271, norm of subgrad 36.048750	 stepsize= 1.000000 
-dualbound = 3496990.896154, lowerbound=1273797.896154, norm of subgrad 1129.182844	dualbound = 3496990.896154, lowerbound=1273797.896154, norm of subgrad 36.303249	 stepsize= 1.000000 
-dualbound = 3497053.718802, lowerbound=1275423.718802, norm of subgrad 1129.919342	dualbound = 3497053.718802, lowerbound=1275423.718802, norm of subgrad 36.835074	 stepsize= 1.000000 
-dualbound = 3497115.584595, lowerbound=1275286.584595, norm of subgrad 1129.834760	dualbound = 3497115.584595, lowerbound=1275286.584595, norm of subgrad 36.081377	 stepsize= 1.000000 
-dualbound = 3497210.493201, lowerbound=1275975.493201, norm of subgrad 1130.134281	dualbound = 3497210.493201, lowerbound=1275975.493201, norm of subgrad 36.371811	 stepsize= 1.000000 
-dualbound = 3497294.078573, lowerbound=1277226.078573, norm of subgrad 1130.664883	dualbound = 3497294.078573, lowerbound=1277226.078573, norm of subgrad 35.504723	 stepsize= 1.000000 
-dualbound = 3497365.250899, lowerbound=1279862.250899, norm of subgrad 1131.838439	dualbound = 3497365.250899, lowerbound=1279862.250899, norm of subgrad 35.597364	 stepsize= 1.000000 
-dualbound = 3497453.823658, lowerbound=1279131.823658, norm of subgrad 1131.519697	dualbound = 3497453.823658, lowerbound=1279131.823658, norm of subgrad 35.966273	 stepsize= 1.000000 
-dualbound = 3497522.753702, lowerbound=1279335.753702, norm of subgrad 1131.607155	dualbound = 3497522.753702, lowerbound=1279335.753702, norm of subgrad 35.608005	 stepsize= 1.000000 
-dualbound = 3497593.805803, lowerbound=1276840.805803, norm of subgrad 1130.499361	dualbound = 3497593.805803, lowerbound=1276840.805803, norm of subgrad 35.483124	 stepsize= 1.000000 
-dualbound = 3497663.791455, lowerbound=1273667.791455, norm of subgrad 1129.076079	dualbound = 3497663.791455, lowerbound=1273667.791455, norm of subgrad 34.856644	 stepsize= 1.000000 
-dualbound = 3497755.443124, lowerbound=1277825.443124, norm of subgrad 1130.928576	dualbound = 3497755.443124, lowerbound=1277825.443124, norm of subgrad 35.575999	 stepsize= 1.000000 
-dualbound = 3497816.326139, lowerbound=1277280.326139, norm of subgrad 1130.697274	dualbound = 3497816.326139, lowerbound=1277280.326139, norm of subgrad 35.452546	 stepsize= 1.000000 
-dualbound = 3497860.252553, lowerbound=1281135.252553, norm of subgrad 1132.419204	dualbound = 3497860.252553, lowerbound=1281135.252553, norm of subgrad 35.804000	 stepsize= 1.000000 
-dualbound = 3497961.913163, lowerbound=1275799.913163, norm of subgrad 1130.038456	dualbound = 3497961.913163, lowerbound=1275799.913163, norm of subgrad 35.897919	 stepsize= 1.000000 
-dualbound = 3498029.547973, lowerbound=1277018.547973, norm of subgrad 1130.592123	dualbound = 3498029.547973, lowerbound=1277018.547973, norm of subgrad 35.883629	 stepsize= 1.000000 
-dualbound = 3498107.645973, lowerbound=1273852.645973, norm of subgrad 1129.204873	dualbound = 3498107.645973, lowerbound=1273852.645973, norm of subgrad 36.456796	 stepsize= 1.000000 
-dualbound = 3498178.762351, lowerbound=1277599.762351, norm of subgrad 1130.869472	dualbound = 3498178.762351, lowerbound=1277599.762351, norm of subgrad 36.566602	 stepsize= 1.000000 
-dualbound = 3498231.694498, lowerbound=1275512.694498, norm of subgrad 1129.948536	dualbound = 3498231.694498, lowerbound=1275512.694498, norm of subgrad 36.385878	 stepsize= 1.000000 
-dualbound = 3498334.228505, lowerbound=1282746.228505, norm of subgrad 1133.130279	dualbound = 3498334.228505, lowerbound=1282746.228505, norm of subgrad 36.613304	 stepsize= 1.000000 
-dualbound = 3498402.072843, lowerbound=1276016.072843, norm of subgrad 1130.147368	dualbound = 3498402.072843, lowerbound=1276016.072843, norm of subgrad 35.844725	 stepsize= 1.000000 
-dualbound = 3498502.450989, lowerbound=1286155.450989, norm of subgrad 1134.623925	dualbound = 3498502.450989, lowerbound=1286155.450989, norm of subgrad 36.281926	 stepsize= 1.000000 
-dualbound = 3498551.717768, lowerbound=1274657.717768, norm of subgrad 1129.597591	dualbound = 3498551.717768, lowerbound=1274657.717768, norm of subgrad 37.178849	 stepsize= 1.000000 
-dualbound = 3498610.631544, lowerbound=1275892.631544, norm of subgrad 1130.136554	dualbound = 3498610.631544, lowerbound=1275892.631544, norm of subgrad 37.079830	 stepsize= 1.000000 
-dualbound = 3498695.172255, lowerbound=1278875.172255, norm of subgrad 1131.445170	dualbound = 3498695.172255, lowerbound=1278875.172255, norm of subgrad 37.115236	 stepsize= 1.000000 
-dualbound = 3498789.023765, lowerbound=1276287.023765, norm of subgrad 1130.280507	dualbound = 3498789.023765, lowerbound=1276287.023765, norm of subgrad 36.617639	 stepsize= 1.000000 
-dualbound = 3498850.344669, lowerbound=1276749.344669, norm of subgrad 1130.488542	dualbound = 3498850.344669, lowerbound=1276749.344669, norm of subgrad 36.281137	 stepsize= 1.000000 
-dualbound = 3498935.170659, lowerbound=1280694.170659, norm of subgrad 1132.198380	dualbound = 3498935.170659, lowerbound=1280694.170659, norm of subgrad 35.550330	 stepsize= 1.000000 
-dualbound = 3499016.412986, lowerbound=1276396.412986, norm of subgrad 1130.310317	dualbound = 3499016.412986, lowerbound=1276396.412986, norm of subgrad 35.864221	 stepsize= 1.000000 
-dualbound = 3499094.918897, lowerbound=1276478.918897, norm of subgrad 1130.344159	dualbound = 3499094.918897, lowerbound=1276478.918897, norm of subgrad 35.742215	 stepsize= 1.000000 
-dualbound = 3499138.719043, lowerbound=1277690.719043, norm of subgrad 1130.867242	dualbound = 3499138.719043, lowerbound=1277690.719043, norm of subgrad 34.839635	 stepsize= 1.000000 
-dualbound = 3499260.499527, lowerbound=1273757.499527, norm of subgrad 1129.121118	dualbound = 3499260.499527, lowerbound=1273757.499527, norm of subgrad 35.760040	 stepsize= 1.000000 
-dualbound = 3499298.023895, lowerbound=1280703.023895, norm of subgrad 1132.230111	dualbound = 3499298.023895, lowerbound=1280703.023895, norm of subgrad 35.770440	 stepsize= 1.000000 
-dualbound = 3499382.791702, lowerbound=1275493.791702, norm of subgrad 1129.919374	dualbound = 3499382.791702, lowerbound=1275493.791702, norm of subgrad 36.176896	 stepsize= 1.000000 
-dualbound = 3499436.532086, lowerbound=1277390.532086, norm of subgrad 1130.787129	dualbound = 3499436.532086, lowerbound=1277390.532086, norm of subgrad 36.643422	 stepsize= 1.000000 
-dualbound = 3499542.815740, lowerbound=1284607.815740, norm of subgrad 1133.957149	dualbound = 3499542.815740, lowerbound=1284607.815740, norm of subgrad 36.841331	 stepsize= 1.000000 
-dualbound = 3499597.031143, lowerbound=1276332.031143, norm of subgrad 1130.280952	dualbound = 3499597.031143, lowerbound=1276332.031143, norm of subgrad 35.457233	 stepsize= 1.000000 
-dualbound = 3499689.296035, lowerbound=1273851.296035, norm of subgrad 1129.169737	dualbound = 3499689.296035, lowerbound=1273851.296035, norm of subgrad 35.570562	 stepsize= 1.000000 
-dualbound = 3499769.234920, lowerbound=1279146.234920, norm of subgrad 1131.527832	dualbound = 3499769.234920, lowerbound=1279146.234920, norm of subgrad 35.901795	 stepsize= 1.000000 
-dualbound = 3499853.617005, lowerbound=1276528.617005, norm of subgrad 1130.377644	dualbound = 3499853.617005, lowerbound=1276528.617005, norm of subgrad 36.185385	 stepsize= 1.000000 
-dualbound = 3499904.339612, lowerbound=1278243.339612, norm of subgrad 1131.133210	dualbound = 3499904.339612, lowerbound=1278243.339612, norm of subgrad 35.633167	 stepsize= 1.000000 
-dualbound = 3499994.371913, lowerbound=1276006.371913, norm of subgrad 1130.151482	dualbound = 3499994.371913, lowerbound=1276006.371913, norm of subgrad 36.414726	 stepsize= 1.000000 
-dualbound = 3500069.089072, lowerbound=1273103.089072, norm of subgrad 1128.841924	dualbound = 3500069.089072, lowerbound=1273103.089072, norm of subgrad 35.436100	 stepsize= 1.000000 
-dualbound = 3500153.950314, lowerbound=1282920.950314, norm of subgrad 1133.180458	dualbound = 3500153.950314, lowerbound=1282920.950314, norm of subgrad 35.522686	 stepsize= 1.000000 
-dualbound = 3500232.196358, lowerbound=1278248.196358, norm of subgrad 1131.140220	dualbound = 3500232.196358, lowerbound=1278248.196358, norm of subgrad 36.169684	 stepsize= 1.000000 
-dualbound = 3500292.700127, lowerbound=1279921.700127, norm of subgrad 1131.868676	dualbound = 3500292.700127, lowerbound=1279921.700127, norm of subgrad 35.573920	 stepsize= 1.000000 
-dualbound = 3500374.650030, lowerbound=1273340.650030, norm of subgrad 1128.962200	dualbound = 3500374.650030, lowerbound=1273340.650030, norm of subgrad 36.013191	 stepsize= 1.000000 
-dualbound = 3500426.864244, lowerbound=1278522.864244, norm of subgrad 1131.274442	dualbound = 3500426.864244, lowerbound=1278522.864244, norm of subgrad 36.210692	 stepsize= 1.000000 
-dualbound = 3500502.778236, lowerbound=1278656.778236, norm of subgrad 1131.305785	dualbound = 3500502.778236, lowerbound=1278656.778236, norm of subgrad 35.663903	 stepsize= 1.000000 
-dualbound = 3500580.509233, lowerbound=1280017.509233, norm of subgrad 1131.929110	dualbound = 3500580.509233, lowerbound=1280017.509233, norm of subgrad 36.383114	 stepsize= 1.000000 
-dualbound = 3500653.305901, lowerbound=1276252.305901, norm of subgrad 1130.256301	dualbound = 3500653.305901, lowerbound=1276252.305901, norm of subgrad 36.052693	 stepsize= 1.000000 
-dualbound = 3500742.458300, lowerbound=1274090.458301, norm of subgrad 1129.297329	dualbound = 3500742.458300, lowerbound=1274090.458301, norm of subgrad 36.209838	 stepsize= 1.000000 
-dualbound = 3500806.039409, lowerbound=1283265.039409, norm of subgrad 1133.353007	dualbound = 3500806.039409, lowerbound=1283265.039409, norm of subgrad 35.882880	 stepsize= 1.000000 
-dualbound = 3500897.073714, lowerbound=1276380.073714, norm of subgrad 1130.288049	dualbound = 3500897.073714, lowerbound=1276380.073714, norm of subgrad 35.525122	 stepsize= 1.000000 
-dualbound = 3500979.428674, lowerbound=1277575.428674, norm of subgrad 1130.821130	dualbound = 3500979.428674, lowerbound=1277575.428674, norm of subgrad 35.543705	 stepsize= 1.000000 
-dualbound = 3501035.423949, lowerbound=1275447.423949, norm of subgrad 1129.856816	dualbound = 3501035.423949, lowerbound=1275447.423949, norm of subgrad 34.423760	 stepsize= 1.000000 
-dualbound = 3501154.233239, lowerbound=1282639.233239, norm of subgrad 1133.066297	dualbound = 3501154.233239, lowerbound=1282639.233239, norm of subgrad 36.315414	 stepsize= 1.000000 
-dualbound = 3501172.432484, lowerbound=1274882.432484, norm of subgrad 1129.642613	dualbound = 3501172.432484, lowerbound=1274882.432484, norm of subgrad 35.045674	 stepsize= 1.000000 
-dualbound = 3501264.039223, lowerbound=1278101.039223, norm of subgrad 1131.080474	dualbound = 3501264.039223, lowerbound=1278101.039223, norm of subgrad 36.518581	 stepsize= 1.000000 
-dualbound = 3501339.938609, lowerbound=1273061.938609, norm of subgrad 1128.842300	dualbound = 3501339.938609, lowerbound=1273061.938609, norm of subgrad 36.040247	 stepsize= 1.000000 
-dualbound = 3501399.318997, lowerbound=1280078.318997, norm of subgrad 1131.955087	dualbound = 3501399.318997, lowerbound=1280078.318997, norm of subgrad 36.102360	 stepsize= 1.000000 
-dualbound = 3501476.799230, lowerbound=1277216.799230, norm of subgrad 1130.705001	dualbound = 3501476.799230, lowerbound=1277216.799230, norm of subgrad 36.803264	 stepsize= 1.000000 
-dualbound = 3501541.829542, lowerbound=1282415.829542, norm of subgrad 1132.999042	dualbound = 3501541.829542, lowerbound=1282415.829542, norm of subgrad 36.551748	 stepsize= 1.000000 
-dualbound = 3501605.069608, lowerbound=1281676.069608, norm of subgrad 1132.664588	dualbound = 3501605.069608, lowerbound=1281676.069608, norm of subgrad 36.280023	 stepsize= 1.000000 
-dualbound = 3501686.497703, lowerbound=1271213.497703, norm of subgrad 1128.034795	dualbound = 3501686.497703, lowerbound=1271213.497703, norm of subgrad 36.475034	 stepsize= 1.000000 
-dualbound = 3501762.860594, lowerbound=1280420.860594, norm of subgrad 1132.104616	dualbound = 3501762.860594, lowerbound=1280420.860594, norm of subgrad 36.281716	 stepsize= 1.000000 
-dualbound = 3501860.486608, lowerbound=1272763.486608, norm of subgrad 1128.695923	dualbound = 3501860.486608, lowerbound=1272763.486608, norm of subgrad 35.897437	 stepsize= 1.000000 
-dualbound = 3501916.216485, lowerbound=1277069.216485, norm of subgrad 1130.603917	dualbound = 3501916.216485, lowerbound=1277069.216485, norm of subgrad 35.379795	 stepsize= 1.000000 
-dualbound = 3501994.877221, lowerbound=1277863.877221, norm of subgrad 1130.959715	dualbound = 3501994.877221, lowerbound=1277863.877221, norm of subgrad 35.842164	 stepsize= 1.000000 
-dualbound = 3502086.331422, lowerbound=1282762.331422, norm of subgrad 1133.110909	dualbound = 3502086.331422, lowerbound=1282762.331422, norm of subgrad 35.629401	 stepsize= 1.000000 
-dualbound = 3502163.488212, lowerbound=1276596.488212, norm of subgrad 1130.394837	dualbound = 3502163.488212, lowerbound=1276596.488212, norm of subgrad 35.681323	 stepsize= 1.000000 
-dualbound = 3502229.626196, lowerbound=1281816.626196, norm of subgrad 1132.676311	dualbound = 3502229.626196, lowerbound=1281816.626196, norm of subgrad 34.715097	 stepsize= 1.000000 
-dualbound = 3502311.433988, lowerbound=1278138.433988, norm of subgrad 1131.089932	dualbound = 3502311.433988, lowerbound=1278138.433988, norm of subgrad 36.163625	 stepsize= 1.000000 
-dualbound = 3502367.408634, lowerbound=1277270.408634, norm of subgrad 1130.698195	dualbound = 3502367.408634, lowerbound=1277270.408634, norm of subgrad 35.552421	 stepsize= 1.000000 
-dualbound = 3502436.694334, lowerbound=1275529.694334, norm of subgrad 1129.928624	dualbound = 3502436.694334, lowerbound=1275529.694334, norm of subgrad 35.753122	 stepsize= 1.000000 
-dualbound = 3502525.361773, lowerbound=1281493.361773, norm of subgrad 1132.531395	dualbound = 3502525.361773, lowerbound=1281493.361773, norm of subgrad 34.966662	 stepsize= 1.000000 
-dualbound = 3502597.518573, lowerbound=1280197.518573, norm of subgrad 1131.986978	dualbound = 3502597.518573, lowerbound=1280197.518573, norm of subgrad 35.625227	 stepsize= 1.000000 
-dualbound = 3502672.060161, lowerbound=1278180.060161, norm of subgrad 1131.115847	dualbound = 3502672.060161, lowerbound=1278180.060161, norm of subgrad 36.297956	 stepsize= 1.000000 
-dualbound = 3502732.501036, lowerbound=1281253.501036, norm of subgrad 1132.454194	dualbound = 3502732.501036, lowerbound=1281253.501036, norm of subgrad 35.488602	 stepsize= 1.000000 
-dualbound = 3502780.160417, lowerbound=1273433.160417, norm of subgrad 1129.035943	dualbound = 3502780.160417, lowerbound=1273433.160417, norm of subgrad 36.560353	 stepsize= 1.000000 
-dualbound = 3502870.728037, lowerbound=1275073.728037, norm of subgrad 1129.722855	dualbound = 3502870.728037, lowerbound=1275073.728037, norm of subgrad 35.924471	 stepsize= 1.000000 
-dualbound = 3502954.339224, lowerbound=1278339.339224, norm of subgrad 1131.207028	dualbound = 3502954.339224, lowerbound=1278339.339224, norm of subgrad 37.062261	 stepsize= 1.000000 
-dualbound = 3503010.744613, lowerbound=1273325.744613, norm of subgrad 1128.971100	dualbound = 3503010.744613, lowerbound=1273325.744613, norm of subgrad 36.144230	 stepsize= 1.000000 
-dualbound = 3503081.942885, lowerbound=1277445.942885, norm of subgrad 1130.810304	dualbound = 3503081.942885, lowerbound=1277445.942885, norm of subgrad 36.840172	 stepsize= 1.000000 
-dualbound = 3503183.023876, lowerbound=1278512.023876, norm of subgrad 1131.246668	dualbound = 3503183.023876, lowerbound=1278512.023876, norm of subgrad 36.167402	 stepsize= 1.000000 
-dualbound = 3503267.411171, lowerbound=1285601.411171, norm of subgrad 1134.381951	dualbound = 3503267.411171, lowerbound=1285601.411171, norm of subgrad 36.130144	 stepsize= 1.000000 
-dualbound = 3503345.354861, lowerbound=1270490.354861, norm of subgrad 1127.720867	dualbound = 3503345.354861, lowerbound=1270490.354861, norm of subgrad 36.632550	 stepsize= 1.000000 
-dualbound = 3503382.810196, lowerbound=1277616.810196, norm of subgrad 1130.906632	dualbound = 3503382.810196, lowerbound=1277616.810196, norm of subgrad 37.019661	 stepsize= 1.000000 
-dualbound = 3503457.154411, lowerbound=1273269.154411, norm of subgrad 1128.981911	dualbound = 3503457.154411, lowerbound=1273269.154411, norm of subgrad 37.487921	 stepsize= 1.000000 
-dualbound = 3503541.368256, lowerbound=1282014.368256, norm of subgrad 1132.807295	dualbound = 3503541.368256, lowerbound=1282014.368256, norm of subgrad 36.362259	 stepsize= 1.000000 
-dualbound = 3503628.092147, lowerbound=1275497.092147, norm of subgrad 1129.906674	dualbound = 3503628.092147, lowerbound=1275497.092147, norm of subgrad 35.759249	 stepsize= 1.000000 
-dualbound = 3503708.763720, lowerbound=1276852.763720, norm of subgrad 1130.506419	dualbound = 3503708.763720, lowerbound=1276852.763720, norm of subgrad 35.674523	 stepsize= 1.000000 
-dualbound = 3503789.416970, lowerbound=1277858.416970, norm of subgrad 1130.940501	dualbound = 3503789.416970, lowerbound=1277858.416970, norm of subgrad 35.336288	 stepsize= 1.000000 
-dualbound = 3503841.422947, lowerbound=1279596.422947, norm of subgrad 1131.744858	dualbound = 3503841.422947, lowerbound=1279596.422947, norm of subgrad 36.083320	 stepsize= 1.000000 
-dualbound = 3503913.556905, lowerbound=1278546.556906, norm of subgrad 1131.257069	dualbound = 3503913.556905, lowerbound=1278546.556906, norm of subgrad 35.610869	 stepsize= 1.000000 
-dualbound = 3504009.082246, lowerbound=1278306.082246, norm of subgrad 1131.162271	dualbound = 3504009.082246, lowerbound=1278306.082246, norm of subgrad 36.297732	 stepsize= 1.000000 
-dualbound = 3504060.276212, lowerbound=1273703.276212, norm of subgrad 1129.097549	dualbound = 3504060.276212, lowerbound=1273703.276212, norm of subgrad 34.773466	 stepsize= 1.000000 
-dualbound = 3504157.899734, lowerbound=1276664.899734, norm of subgrad 1130.434385	dualbound = 3504157.899734, lowerbound=1276664.899734, norm of subgrad 36.257737	 stepsize= 1.000000 
-dualbound = 3504209.209971, lowerbound=1277964.209971, norm of subgrad 1131.014682	dualbound = 3504209.209971, lowerbound=1277964.209971, norm of subgrad 35.795394	 stepsize= 1.000000 
-dualbound = 3504277.643726, lowerbound=1282054.643726, norm of subgrad 1132.825955	dualbound = 3504277.643726, lowerbound=1282054.643726, norm of subgrad 36.172279	 stepsize= 1.000000 
-dualbound = 3504349.578573, lowerbound=1280625.578573, norm of subgrad 1132.211367	dualbound = 3504349.578573, lowerbound=1280625.578573, norm of subgrad 36.727848	 stepsize= 1.000000 
-dualbound = 3504422.570187, lowerbound=1277877.570187, norm of subgrad 1130.949411	dualbound = 3504422.570187, lowerbound=1277877.570187, norm of subgrad 35.241901	 stepsize= 1.000000 
-dualbound = 3504527.054542, lowerbound=1272054.054542, norm of subgrad 1128.379393	dualbound = 3504527.054542, lowerbound=1272054.054542, norm of subgrad 35.923312	 stepsize= 1.000000 
-dualbound = 3504576.023133, lowerbound=1279933.023133, norm of subgrad 1131.913434	dualbound = 3504576.023133, lowerbound=1279933.023133, norm of subgrad 36.660177	 stepsize= 1.000000 
-dualbound = 3504673.368317, lowerbound=1279069.368317, norm of subgrad 1131.473980	dualbound = 3504673.368317, lowerbound=1279069.368317, norm of subgrad 35.515422	 stepsize= 1.000000 
-dualbound = 3504731.522116, lowerbound=1279805.522116, norm of subgrad 1131.818679	dualbound = 3504731.522116, lowerbound=1279805.522116, norm of subgrad 35.583055	 stepsize= 1.000000 
-dualbound = 3504809.185177, lowerbound=1277490.185177, norm of subgrad 1130.791840	dualbound = 3504809.185177, lowerbound=1277490.185177, norm of subgrad 35.744413	 stepsize= 1.000000 
-dualbound = 3504889.545438, lowerbound=1279644.545438, norm of subgrad 1131.734309	dualbound = 3504889.545438, lowerbound=1279644.545438, norm of subgrad 35.473374	 stepsize= 1.000000 
-dualbound = 3504962.429475, lowerbound=1282242.429475, norm of subgrad 1132.890740	dualbound = 3504962.429475, lowerbound=1282242.429475, norm of subgrad 35.663483	 stepsize= 1.000000 
-dualbound = 3505012.686025, lowerbound=1275437.686025, norm of subgrad 1129.902069	dualbound = 3505012.686025, lowerbound=1275437.686025, norm of subgrad 35.934058	 stepsize= 1.000000 
-dualbound = 3505111.911995, lowerbound=1275220.911995, norm of subgrad 1129.804369	dualbound = 3505111.911995, lowerbound=1275220.911995, norm of subgrad 36.554425	 stepsize= 1.000000 
-dualbound = 3505148.507331, lowerbound=1286111.507331, norm of subgrad 1134.623509	dualbound = 3505148.507331, lowerbound=1286111.507331, norm of subgrad 35.994379	 stepsize= 1.000000 
-dualbound = 3505246.312562, lowerbound=1279604.312562, norm of subgrad 1131.722719	dualbound = 3505246.312562, lowerbound=1279604.312562, norm of subgrad 35.913858	 stepsize= 1.000000 
-dualbound = 3505343.161121, lowerbound=1284872.161121, norm of subgrad 1134.045044	dualbound = 3505343.161121, lowerbound=1284872.161121, norm of subgrad 35.816875	 stepsize= 1.000000 
-dualbound = 3505400.640090, lowerbound=1275399.640090, norm of subgrad 1129.879038	dualbound = 3505400.640090, lowerbound=1275399.640090, norm of subgrad 35.839628	 stepsize= 1.000000 
-dualbound = 3505455.907092, lowerbound=1282442.907092, norm of subgrad 1132.985396	dualbound = 3505455.907092, lowerbound=1282442.907092, norm of subgrad 35.612737	 stepsize= 1.000000 
-dualbound = 3505545.076693, lowerbound=1275147.076693, norm of subgrad 1129.739827	dualbound = 3505545.076693, lowerbound=1275147.076693, norm of subgrad 35.414257	 stepsize= 1.000000 
-dualbound = 3505638.571340, lowerbound=1280330.571340, norm of subgrad 1131.996719	dualbound = 3505638.571340, lowerbound=1280330.571340, norm of subgrad 34.343772	 stepsize= 1.000000 
-dualbound = 3505718.636319, lowerbound=1273642.636319, norm of subgrad 1129.082210	dualbound = 3505718.636319, lowerbound=1273642.636319, norm of subgrad 35.553691	 stepsize= 1.000000 
-dualbound = 3505756.677246, lowerbound=1280229.677246, norm of subgrad 1132.003391	dualbound = 3505756.677246, lowerbound=1280229.677246, norm of subgrad 35.214215	 stepsize= 1.000000 
-dualbound = 3505831.352225, lowerbound=1278268.352225, norm of subgrad 1131.169904	dualbound = 3505831.352225, lowerbound=1278268.352225, norm of subgrad 36.765133	 stepsize= 1.000000 
-dualbound = 3505882.892905, lowerbound=1278772.892905, norm of subgrad 1131.403506	dualbound = 3505882.892905, lowerbound=1278772.892905, norm of subgrad 36.776904	 stepsize= 1.000000 
-dualbound = 3505972.288669, lowerbound=1279071.288669, norm of subgrad 1131.486318	dualbound = 3505972.288669, lowerbound=1279071.288669, norm of subgrad 35.768642	 stepsize= 1.000000 
-dualbound = 3506068.824914, lowerbound=1282098.824914, norm of subgrad 1132.816324	dualbound = 3506068.824914, lowerbound=1282098.824914, norm of subgrad 35.644582	 stepsize= 1.000000 
-dualbound = 3506111.202735, lowerbound=1278213.202735, norm of subgrad 1131.129172	dualbound = 3506111.202735, lowerbound=1278213.202735, norm of subgrad 35.810303	 stepsize= 1.000000 
-dualbound = 3506187.070957, lowerbound=1282422.070957, norm of subgrad 1132.972670	dualbound = 3506187.070957, lowerbound=1282422.070957, norm of subgrad 35.789219	 stepsize= 1.000000 
-dualbound = 3506276.779794, lowerbound=1276392.779794, norm of subgrad 1130.313576	dualbound = 3506276.779794, lowerbound=1276392.779794, norm of subgrad 36.134593	 stepsize= 1.000000 
-dualbound = 3506342.347023, lowerbound=1278645.347023, norm of subgrad 1131.330786	dualbound = 3506342.347023, lowerbound=1278645.347023, norm of subgrad 36.463231	 stepsize= 1.000000 
-dualbound = 3506396.268407, lowerbound=1277745.268407, norm of subgrad 1130.923635	dualbound = 3506396.268407, lowerbound=1277745.268407, norm of subgrad 36.012795	 stepsize= 1.000000 
-dualbound = 3506493.285607, lowerbound=1279954.285607, norm of subgrad 1131.912225	dualbound = 3506493.285607, lowerbound=1279954.285607, norm of subgrad 36.986717	 stepsize= 1.000000 
-dualbound = 3506548.270713, lowerbound=1277624.270713, norm of subgrad 1130.872349	dualbound = 3506548.270713, lowerbound=1277624.270713, norm of subgrad 36.096885	 stepsize= 1.000000 
-dualbound = 3506627.854293, lowerbound=1281588.854293, norm of subgrad 1132.654340	dualbound = 3506627.854293, lowerbound=1281588.854293, norm of subgrad 37.370892	 stepsize= 1.000000 
-dualbound = 3506693.014256, lowerbound=1275826.014256, norm of subgrad 1130.045138	dualbound = 3506693.014256, lowerbound=1275826.014256, norm of subgrad 35.230100	 stepsize= 1.000000 
-dualbound = 3506793.422041, lowerbound=1279551.422041, norm of subgrad 1131.707746	dualbound = 3506793.422041, lowerbound=1279551.422041, norm of subgrad 36.213365	 stepsize= 1.000000 
-dualbound = 3506853.256735, lowerbound=1277752.256735, norm of subgrad 1130.895334	dualbound = 3506853.256735, lowerbound=1277752.256735, norm of subgrad 35.097503	 stepsize= 1.000000 
-dualbound = 3506931.503856, lowerbound=1288167.503856, norm of subgrad 1135.524330	dualbound = 3506931.503856, lowerbound=1288167.503856, norm of subgrad 36.417676	 stepsize= 1.000000 
-dualbound = 3506971.147625, lowerbound=1274623.147625, norm of subgrad 1129.569452	dualbound = 3506971.147625, lowerbound=1274623.147625, norm of subgrad 36.655747	 stepsize= 1.000000 
-dualbound = 3507053.271624, lowerbound=1287234.271624, norm of subgrad 1135.082936	dualbound = 3507053.271624, lowerbound=1287234.271624, norm of subgrad 35.512308	 stepsize= 1.000000 
-dualbound = 3507167.779582, lowerbound=1273441.779582, norm of subgrad 1128.985288	dualbound = 3507167.779582, lowerbound=1273441.779582, norm of subgrad 35.784186	 stepsize= 1.000000 
-dualbound = 3507233.214403, lowerbound=1282765.214403, norm of subgrad 1133.108651	dualbound = 3507233.214403, lowerbound=1282765.214403, norm of subgrad 35.148753	 stepsize= 1.000000 
-dualbound = 3507283.969444, lowerbound=1277210.969444, norm of subgrad 1130.690041	dualbound = 3507283.969444, lowerbound=1277210.969444, norm of subgrad 36.052116	 stepsize= 1.000000 
-dualbound = 3507361.835358, lowerbound=1284209.835358, norm of subgrad 1133.762248	dualbound = 3507361.835358, lowerbound=1284209.835358, norm of subgrad 35.845026	 stepsize= 1.000000 
-dualbound = 3507436.385162, lowerbound=1274774.385162, norm of subgrad 1129.604083	dualbound = 3507436.385162, lowerbound=1274774.385162, norm of subgrad 36.132393	 stepsize= 1.000000 
-dualbound = 3507513.285976, lowerbound=1280017.285976, norm of subgrad 1131.883513	dualbound = 3507513.285976, lowerbound=1280017.285976, norm of subgrad 34.927079	 stepsize= 1.000000 
-dualbound = 3507603.386015, lowerbound=1276040.386015, norm of subgrad 1130.143967	dualbound = 3507603.386015, lowerbound=1276040.386015, norm of subgrad 35.708543	 stepsize= 1.000000 
-dualbound = 3507653.919614, lowerbound=1284005.919614, norm of subgrad 1133.693045	dualbound = 3507653.919614, lowerbound=1284005.919614, norm of subgrad 36.118328	 stepsize= 1.000000 
-dualbound = 3507719.528513, lowerbound=1274783.528513, norm of subgrad 1129.616098	dualbound = 3507719.528513, lowerbound=1274783.528513, norm of subgrad 36.257536	 stepsize= 1.000000 
-dualbound = 3507815.790948, lowerbound=1278888.790948, norm of subgrad 1131.389319	dualbound = 3507815.790948, lowerbound=1278888.790948, norm of subgrad 35.344907	 stepsize= 1.000000 
-dualbound = 3507880.843665, lowerbound=1280878.843665, norm of subgrad 1132.323648	dualbound = 3507880.843665, lowerbound=1280878.843665, norm of subgrad 36.647684	 stepsize= 1.000000 
-dualbound = 3507944.814811, lowerbound=1281554.814811, norm of subgrad 1132.596051	dualbound = 3507944.814811, lowerbound=1281554.814811, norm of subgrad 35.818587	 stepsize= 1.000000 
-dualbound = 3508025.392625, lowerbound=1277500.392625, norm of subgrad 1130.803428	dualbound = 3508025.392625, lowerbound=1277500.392625, norm of subgrad 36.008024	 stepsize= 1.000000 
-dualbound = 3508089.477759, lowerbound=1281716.477759, norm of subgrad 1132.669183	dualbound = 3508089.477759, lowerbound=1281716.477759, norm of subgrad 35.875969	 stepsize= 1.000000 
-dualbound = 3508154.590697, lowerbound=1278823.590697, norm of subgrad 1131.376414	dualbound = 3508154.590697, lowerbound=1278823.590697, norm of subgrad 35.413457	 stepsize= 1.000000 
-dualbound = 3508245.762532, lowerbound=1283381.762532, norm of subgrad 1133.378473	dualbound = 3508245.762532, lowerbound=1283381.762532, norm of subgrad 35.442515	 stepsize= 1.000000 
-dualbound = 3508306.178338, lowerbound=1277261.178338, norm of subgrad 1130.686154	dualbound = 3508306.178338, lowerbound=1277261.178338, norm of subgrad 35.361219	 stepsize= 1.000000 
-dualbound = 3508380.651618, lowerbound=1277508.651618, norm of subgrad 1130.822997	dualbound = 3508380.651618, lowerbound=1277508.651618, norm of subgrad 36.420781	 stepsize= 1.000000 
-dualbound = 3508429.283283, lowerbound=1282464.283283, norm of subgrad 1133.012923	dualbound = 3508429.283283, lowerbound=1282464.283283, norm of subgrad 36.091989	 stepsize= 1.000000 
-dualbound = 3508549.568034, lowerbound=1278541.568034, norm of subgrad 1131.228787	dualbound = 3508549.568034, lowerbound=1278541.568034, norm of subgrad 35.458211	 stepsize= 1.000000 
-dualbound = 3508597.686715, lowerbound=1288211.686715, norm of subgrad 1135.526172	dualbound = 3508597.686715, lowerbound=1288211.686715, norm of subgrad 35.441765	 stepsize= 1.000000 
-dualbound = 3508676.873820, lowerbound=1275371.873820, norm of subgrad 1129.855245	dualbound = 3508676.873820, lowerbound=1275371.873820, norm of subgrad 35.779702	 stepsize= 1.000000 
-dualbound = 3508740.576317, lowerbound=1282108.576317, norm of subgrad 1132.838283	dualbound = 3508740.576317, lowerbound=1282108.576317, norm of subgrad 35.744965	 stepsize= 1.000000 
-dualbound = 3508835.696467, lowerbound=1277108.696467, norm of subgrad 1130.616954	dualbound = 3508835.696467, lowerbound=1277108.696467, norm of subgrad 35.792739	 stepsize= 1.000000 
-dualbound = 3508884.916105, lowerbound=1282459.916105, norm of subgrad 1132.988489	dualbound = 3508884.916105, lowerbound=1282459.916105, norm of subgrad 35.386716	 stepsize= 1.000000 
-dualbound = 3508984.260016, lowerbound=1274606.260016, norm of subgrad 1129.500890	dualbound = 3508984.260016, lowerbound=1274606.260016, norm of subgrad 35.571673	 stepsize= 1.000000 
-dualbound = 3509030.397864, lowerbound=1277623.397864, norm of subgrad 1130.845435	dualbound = 3509030.397864, lowerbound=1277623.397864, norm of subgrad 35.130298	 stepsize= 1.000000 
-dualbound = 3509130.604229, lowerbound=1279127.604229, norm of subgrad 1131.532856	dualbound = 3509130.604229, lowerbound=1279127.604229, norm of subgrad 36.595169	 stepsize= 1.000000 
-dualbound = 3509171.113967, lowerbound=1278903.113967, norm of subgrad 1131.444702	dualbound = 3509171.113967, lowerbound=1278903.113967, norm of subgrad 36.117997	 stepsize= 1.000000 
-dualbound = 3509264.814192, lowerbound=1279137.814192, norm of subgrad 1131.532949	dualbound = 3509264.814192, lowerbound=1279137.814192, norm of subgrad 36.368946	 stepsize= 1.000000 
-dualbound = 3509332.624727, lowerbound=1281378.624727, norm of subgrad 1132.508554	dualbound = 3509332.624727, lowerbound=1281378.624727, norm of subgrad 35.564175	 stepsize= 1.000000 
-dualbound = 3509417.819014, lowerbound=1278992.819014, norm of subgrad 1131.474180	dualbound = 3509417.819014, lowerbound=1278992.819014, norm of subgrad 36.416951	 stepsize= 1.000000 
-dualbound = 3509451.953285, lowerbound=1276144.953285, norm of subgrad 1130.237565	dualbound = 3509451.953285, lowerbound=1276144.953285, norm of subgrad 36.416127	 stepsize= 1.000000 
-dualbound = 3509545.214977, lowerbound=1280238.214977, norm of subgrad 1132.025271	dualbound = 3509545.214977, lowerbound=1280238.214977, norm of subgrad 36.554913	 stepsize= 1.000000 
-dualbound = 3509612.161846, lowerbound=1278000.161846, norm of subgrad 1131.036764	dualbound = 3509612.161846, lowerbound=1278000.161846, norm of subgrad 36.207000	 stepsize= 1.000000 
-dualbound = 3509686.129691, lowerbound=1283156.129691, norm of subgrad 1133.307165	dualbound = 3509686.129691, lowerbound=1283156.129691, norm of subgrad 36.096646	 stepsize= 1.000000 
-dualbound = 3509755.512989, lowerbound=1280944.512989, norm of subgrad 1132.325268	dualbound = 3509755.512989, lowerbound=1280944.512989, norm of subgrad 35.852243	 stepsize= 1.000000 
-dualbound = 3509852.809961, lowerbound=1280608.809961, norm of subgrad 1132.162890	dualbound = 3509852.809961, lowerbound=1280608.809961, norm of subgrad 35.795209	 stepsize= 1.000000 
-dualbound = 3509893.787028, lowerbound=1280775.787028, norm of subgrad 1132.267984	dualbound = 3509893.787028, lowerbound=1280775.787028, norm of subgrad 35.999681	 stepsize= 1.000000 
-dualbound = 3510000.616962, lowerbound=1278249.616962, norm of subgrad 1131.131565	dualbound = 3510000.616962, lowerbound=1278249.616962, norm of subgrad 36.274370	 stepsize= 1.000000 
-dualbound = 3510057.437547, lowerbound=1284924.437547, norm of subgrad 1134.068092	dualbound = 3510057.437547, lowerbound=1284924.437547, norm of subgrad 35.253661	 stepsize= 1.000000 
-dualbound = 3510141.755217, lowerbound=1276257.755217, norm of subgrad 1130.262693	dualbound = 3510141.755217, lowerbound=1276257.755217, norm of subgrad 36.336176	 stepsize= 1.000000 
-dualbound = 3510192.538805, lowerbound=1276101.538805, norm of subgrad 1130.189161	dualbound = 3510192.538805, lowerbound=1276101.538805, norm of subgrad 35.732109	 stepsize= 1.000000 
-dualbound = 3510291.969414, lowerbound=1279048.969414, norm of subgrad 1131.464082	dualbound = 3510291.969414, lowerbound=1279048.969414, norm of subgrad 35.516624	 stepsize= 1.000000 
-dualbound = 3510372.987513, lowerbound=1276053.987513, norm of subgrad 1130.146445	dualbound = 3510372.987513, lowerbound=1276053.987513, norm of subgrad 35.468551	 stepsize= 1.000000 
-dualbound = 3510456.798264, lowerbound=1276057.798264, norm of subgrad 1130.161846	dualbound = 3510456.798264, lowerbound=1276057.798264, norm of subgrad 35.941769	 stepsize= 1.000000 
-dualbound = 3510502.985043, lowerbound=1284344.985043, norm of subgrad 1133.831551	dualbound = 3510502.985043, lowerbound=1284344.985043, norm of subgrad 35.709757	 stepsize= 1.000000 
-dualbound = 3510582.502700, lowerbound=1276166.502700, norm of subgrad 1130.204186	dualbound = 3510582.502700, lowerbound=1276166.502700, norm of subgrad 35.700387	 stepsize= 1.000000 
-dualbound = 3510655.034204, lowerbound=1287479.034204, norm of subgrad 1135.203521	dualbound = 3510655.034204, lowerbound=1287479.034204, norm of subgrad 35.784515	 stepsize= 1.000000 
-dualbound = 3510709.543665, lowerbound=1281915.543665, norm of subgrad 1132.776476	dualbound = 3510709.543665, lowerbound=1281915.543665, norm of subgrad 36.352572	 stepsize= 1.000000 
-dualbound = 3510778.143999, lowerbound=1281369.143999, norm of subgrad 1132.537480	dualbound = 3510778.143999, lowerbound=1281369.143999, norm of subgrad 36.614209	 stepsize= 1.000000 
-dualbound = 3510870.824098, lowerbound=1278795.824098, norm of subgrad 1131.364585	dualbound = 3510870.824098, lowerbound=1278795.824098, norm of subgrad 35.814524	 stepsize= 1.000000 
-dualbound = 3510938.929742, lowerbound=1283996.929742, norm of subgrad 1133.666146	dualbound = 3510938.929742, lowerbound=1283996.929742, norm of subgrad 35.638542	 stepsize= 1.000000 
-dualbound = 3511030.304005, lowerbound=1277787.304005, norm of subgrad 1130.915693	dualbound = 3511030.304005, lowerbound=1277787.304005, norm of subgrad 35.698379	 stepsize= 1.000000 
-dualbound = 3511091.403527, lowerbound=1274708.403527, norm of subgrad 1129.566024	dualbound = 3511091.403527, lowerbound=1274708.403527, norm of subgrad 35.666504	 stepsize= 1.000000 
-dualbound = 3511171.058370, lowerbound=1281157.058370, norm of subgrad 1132.420001	dualbound = 3511171.058370, lowerbound=1281157.058370, norm of subgrad 36.022977	 stepsize= 1.000000 
-dualbound = 3511217.047353, lowerbound=1286041.047353, norm of subgrad 1134.548830	dualbound = 3511217.047353, lowerbound=1286041.047353, norm of subgrad 34.727352	 stepsize= 1.000000 
-dualbound = 3511314.078076, lowerbound=1282443.078076, norm of subgrad 1132.967819	dualbound = 3511314.078076, lowerbound=1282443.078076, norm of subgrad 35.637490	 stepsize= 1.000000 
-dualbound = 3511362.913882, lowerbound=1278138.913882, norm of subgrad 1131.106058	dualbound = 3511362.913882, lowerbound=1278138.913882, norm of subgrad 36.205467	 stepsize= 1.000000 
-dualbound = 3511433.416258, lowerbound=1281206.416258, norm of subgrad 1132.475349	dualbound = 3511433.416258, lowerbound=1281206.416258, norm of subgrad 36.939171	 stepsize= 1.000000 
-dualbound = 3511509.704588, lowerbound=1277732.704588, norm of subgrad 1130.927365	dualbound = 3511509.704588, lowerbound=1277732.704588, norm of subgrad 36.609949	 stepsize= 1.000000 
-dualbound = 3511582.113924, lowerbound=1279233.113924, norm of subgrad 1131.578152	dualbound = 3511582.113924, lowerbound=1279233.113924, norm of subgrad 36.171941	 stepsize= 1.000000 
-dualbound = 3511655.860723, lowerbound=1281261.860723, norm of subgrad 1132.468040	dualbound = 3511655.860723, lowerbound=1281261.860723, norm of subgrad 35.996483	 stepsize= 1.000000 
-dualbound = 3511729.349229, lowerbound=1278940.349229, norm of subgrad 1131.441271	dualbound = 3511729.349229, lowerbound=1278940.349229, norm of subgrad 35.951196	 stepsize= 1.000000 
-dualbound = 3511809.367405, lowerbound=1281075.367405, norm of subgrad 1132.387905	dualbound = 3511809.367405, lowerbound=1281075.367405, norm of subgrad 36.152706	 stepsize= 1.000000 
-dualbound = 3511870.967289, lowerbound=1279348.967289, norm of subgrad 1131.630667	dualbound = 3511870.967289, lowerbound=1279348.967289, norm of subgrad 36.063831	 stepsize= 1.000000 
-dualbound = 3511944.342518, lowerbound=1280874.342518, norm of subgrad 1132.312387	dualbound = 3511944.342518, lowerbound=1280874.342518, norm of subgrad 36.474309	 stepsize= 1.000000 
-dualbound = 3512013.387733, lowerbound=1281205.387733, norm of subgrad 1132.432951	dualbound = 3512013.387733, lowerbound=1281205.387733, norm of subgrad 35.609622	 stepsize= 1.000000 
-dualbound = 3512113.355867, lowerbound=1277262.355867, norm of subgrad 1130.685348	dualbound = 3512113.355867, lowerbound=1277262.355867, norm of subgrad 35.874338	 stepsize= 1.000000 
-dualbound = 3512175.913048, lowerbound=1281047.913048, norm of subgrad 1132.354588	dualbound = 3512175.913048, lowerbound=1281047.913048, norm of subgrad 35.235737	 stepsize= 1.000000 
-dualbound = 3512252.660168, lowerbound=1279575.660168, norm of subgrad 1131.717571	dualbound = 3512252.660168, lowerbound=1279575.660168, norm of subgrad 35.857316	 stepsize= 1.000000 
-dualbound = 3512310.448199, lowerbound=1282810.448199, norm of subgrad 1133.143172	dualbound = 3512310.448199, lowerbound=1282810.448199, norm of subgrad 35.507577	 stepsize= 1.000000 
-dualbound = 3512395.023467, lowerbound=1277055.023467, norm of subgrad 1130.600293	dualbound = 3512395.023467, lowerbound=1277055.023467, norm of subgrad 35.868862	 stepsize= 1.000000 
-dualbound = 3512489.157566, lowerbound=1281274.157566, norm of subgrad 1132.435940	dualbound = 3512489.157566, lowerbound=1281274.157566, norm of subgrad 35.087521	 stepsize= 1.000000 
-dualbound = 3512534.908224, lowerbound=1279506.908224, norm of subgrad 1131.699124	dualbound = 3512534.908224, lowerbound=1279506.908224, norm of subgrad 35.801545	 stepsize= 1.000000 
-dualbound = 3512592.535392, lowerbound=1277056.535392, norm of subgrad 1130.603616	dualbound = 3512592.535392, lowerbound=1277056.535392, norm of subgrad 35.575654	 stepsize= 1.000000 
-dualbound = 3512674.650328, lowerbound=1282766.650328, norm of subgrad 1133.140614	dualbound = 3512674.650328, lowerbound=1282766.650328, norm of subgrad 36.374647	 stepsize= 1.000000 
-dualbound = 3512739.097945, lowerbound=1283029.097945, norm of subgrad 1133.264355	dualbound = 3512739.097945, lowerbound=1283029.097945, norm of subgrad 36.379220	 stepsize= 1.000000 
-dualbound = 3512788.463985, lowerbound=1278759.463985, norm of subgrad 1131.351609	dualbound = 3512788.463985, lowerbound=1278759.463985, norm of subgrad 35.303910	 stepsize= 1.000000 
-dualbound = 3512901.094894, lowerbound=1283524.094894, norm of subgrad 1133.437292	dualbound = 3512901.094894, lowerbound=1283524.094894, norm of subgrad 35.617845	 stepsize= 1.000000 
-dualbound = 3512966.421617, lowerbound=1280920.421617, norm of subgrad 1132.316838	dualbound = 3512966.421617, lowerbound=1280920.421617, norm of subgrad 35.865397	 stepsize= 1.000000 
-dualbound = 3513047.560601, lowerbound=1280623.560601, norm of subgrad 1132.185745	dualbound = 3513047.560601, lowerbound=1280623.560601, norm of subgrad 36.085163	 stepsize= 1.000000 
-dualbound = 3513109.592443, lowerbound=1280728.592443, norm of subgrad 1132.227712	dualbound = 3513109.592443, lowerbound=1280728.592443, norm of subgrad 35.679572	 stepsize= 1.000000 
-dualbound = 3513191.471453, lowerbound=1279507.471453, norm of subgrad 1131.685677	dualbound = 3513191.471453, lowerbound=1279507.471453, norm of subgrad 35.873096	 stepsize= 1.000000 
-dualbound = 3513247.889550, lowerbound=1280823.889550, norm of subgrad 1132.297615	dualbound = 3513247.889550, lowerbound=1280823.889550, norm of subgrad 36.474897	 stepsize= 1.000000 
-dualbound = 3513321.631736, lowerbound=1282016.631736, norm of subgrad 1132.801232	dualbound = 3513321.631736, lowerbound=1282016.631736, norm of subgrad 35.996419	 stepsize= 1.000000 
-dualbound = 3513385.767654, lowerbound=1274076.767654, norm of subgrad 1129.289054	dualbound = 3513385.767654, lowerbound=1274076.767654, norm of subgrad 35.792959	 stepsize= 1.000000 
-dualbound = 3513436.251599, lowerbound=1279230.251599, norm of subgrad 1131.604282	dualbound = 3513436.251599, lowerbound=1279230.251599, norm of subgrad 36.721709	 stepsize= 1.000000 
-dualbound = 3513536.494848, lowerbound=1276060.494848, norm of subgrad 1130.169233	dualbound = 3513536.494848, lowerbound=1276060.494848, norm of subgrad 36.362663	 stepsize= 1.000000 
-dualbound = 3513606.484676, lowerbound=1283368.484676, norm of subgrad 1133.378791	dualbound = 3513606.484676, lowerbound=1283368.484676, norm of subgrad 35.341050	 stepsize= 1.000000 
-dualbound = 3513701.893395, lowerbound=1278923.893395, norm of subgrad 1131.421183	dualbound = 3513701.893395, lowerbound=1278923.893395, norm of subgrad 35.852597	 stepsize= 1.000000 
-dualbound = 3513734.351035, lowerbound=1281897.351035, norm of subgrad 1132.768445	dualbound = 3513734.351035, lowerbound=1281897.351035, norm of subgrad 36.047991	 stepsize= 1.000000 
-dualbound = 3513823.750969, lowerbound=1287239.750969, norm of subgrad 1135.092838	dualbound = 3513823.750969, lowerbound=1287239.750969, norm of subgrad 35.852475	 stepsize= 1.000000 
-dualbound = 3513896.018580, lowerbound=1278431.018580, norm of subgrad 1131.243572	dualbound = 3513896.018580, lowerbound=1278431.018580, norm of subgrad 36.786786	 stepsize= 1.000000 
-dualbound = 3513950.830618, lowerbound=1282600.830618, norm of subgrad 1133.068767	dualbound = 3513950.830618, lowerbound=1282600.830618, norm of subgrad 36.039035	 stepsize= 1.000000 
-dualbound = 3514049.092311, lowerbound=1278683.092311, norm of subgrad 1131.319624	dualbound = 3514049.092311, lowerbound=1278683.092311, norm of subgrad 36.045273	 stepsize= 1.000000 
-dualbound = 3514132.955020, lowerbound=1277192.955020, norm of subgrad 1130.669251	dualbound = 3514132.955020, lowerbound=1277192.955020, norm of subgrad 36.109039	 stepsize= 1.000000 
-dualbound = 3514207.293876, lowerbound=1283762.293876, norm of subgrad 1133.569713	dualbound = 3514207.293876, lowerbound=1283762.293876, norm of subgrad 35.949115	 stepsize= 1.000000 
-dualbound = 3514257.102907, lowerbound=1280578.102907, norm of subgrad 1132.165669	dualbound = 3514257.102907, lowerbound=1280578.102907, norm of subgrad 35.648409	 stepsize= 1.000000 
-dualbound = 3514365.732479, lowerbound=1282455.732479, norm of subgrad 1132.991056	dualbound = 3514365.732479, lowerbound=1282455.732479, norm of subgrad 36.354224	 stepsize= 1.000000 
-dualbound = 3514408.464418, lowerbound=1281849.464418, norm of subgrad 1132.711113	dualbound = 3514408.464418, lowerbound=1281849.464418, norm of subgrad 35.039006	 stepsize= 1.000000 
-dualbound = 3514506.230588, lowerbound=1275619.230588, norm of subgrad 1129.958066	dualbound = 3514506.230588, lowerbound=1275619.230588, norm of subgrad 35.829683	 stepsize= 1.000000 
-dualbound = 3514576.336147, lowerbound=1278468.336147, norm of subgrad 1131.231336	dualbound = 3514576.336147, lowerbound=1278468.336147, norm of subgrad 35.862314	 stepsize= 1.000000 
-dualbound = 3514652.522938, lowerbound=1285989.522938, norm of subgrad 1134.533174	dualbound = 3514652.522938, lowerbound=1285989.522938, norm of subgrad 35.386251	 stepsize= 1.000000 
-dualbound = 3514721.115177, lowerbound=1281801.115177, norm of subgrad 1132.688887	dualbound = 3514721.115177, lowerbound=1281801.115177, norm of subgrad 35.377850	 stepsize= 1.000000 
-dualbound = 3514794.747217, lowerbound=1280289.747217, norm of subgrad 1132.014906	dualbound = 3514794.747217, lowerbound=1280289.747217, norm of subgrad 35.236800	 stepsize= 1.000000 
-dualbound = 3514859.573332, lowerbound=1279210.573332, norm of subgrad 1131.586750	dualbound = 3514859.573332, lowerbound=1279210.573332, norm of subgrad 36.644592	 stepsize= 1.000000 
-dualbound = 3514911.182301, lowerbound=1280342.182301, norm of subgrad 1132.069425	dualbound = 3514911.182301, lowerbound=1280342.182301, norm of subgrad 35.925047	 stepsize= 1.000000 
-dualbound = 3514995.298813, lowerbound=1279733.298813, norm of subgrad 1131.782797	dualbound = 3514995.298813, lowerbound=1279733.298813, norm of subgrad 35.820616	 stepsize= 1.000000 
-dualbound = 3515072.350195, lowerbound=1277087.350195, norm of subgrad 1130.618570	dualbound = 3515072.350195, lowerbound=1277087.350195, norm of subgrad 35.889433	 stepsize= 1.000000 
-dualbound = 3515147.196491, lowerbound=1286375.196491, norm of subgrad 1134.725604	dualbound = 3515147.196491, lowerbound=1286375.196491, norm of subgrad 36.081107	 stepsize= 1.000000 
-dualbound = 3515204.962696, lowerbound=1280470.962696, norm of subgrad 1132.111285	dualbound = 3515204.962696, lowerbound=1280470.962696, norm of subgrad 35.535422	 stepsize= 1.000000 
-dualbound = 3515298.286319, lowerbound=1282741.286319, norm of subgrad 1133.109565	dualbound = 3515298.286319, lowerbound=1282741.286319, norm of subgrad 35.907153	 stepsize= 1.000000 
-dualbound = 3515380.030319, lowerbound=1274961.030319, norm of subgrad 1129.670762	dualbound = 3515380.030319, lowerbound=1274961.030319, norm of subgrad 35.731555	 stepsize= 1.000000 
-dualbound = 3515439.448580, lowerbound=1285063.448580, norm of subgrad 1134.127175	dualbound = 3515439.448580, lowerbound=1285063.448580, norm of subgrad 35.219572	 stepsize= 1.000000 
-dualbound = 3515536.903260, lowerbound=1285624.903260, norm of subgrad 1134.364537	dualbound = 3515536.903260, lowerbound=1285624.903260, norm of subgrad 35.432396	 stepsize= 1.000000 
-dualbound = 3515578.322909, lowerbound=1281923.322909, norm of subgrad 1132.745922	dualbound = 3515578.322909, lowerbound=1281923.322909, norm of subgrad 35.091589	 stepsize= 1.000000 
-dualbound = 3515667.987464, lowerbound=1275356.987464, norm of subgrad 1129.842904	dualbound = 3515667.987464, lowerbound=1275356.987464, norm of subgrad 35.744434	 stepsize= 1.000000 
-dualbound = 3515715.087574, lowerbound=1284467.087574, norm of subgrad 1133.849676	dualbound = 3515715.087574, lowerbound=1284467.087574, norm of subgrad 34.570220	 stepsize= 1.000000 
-dualbound = 3515812.014074, lowerbound=1279029.014074, norm of subgrad 1131.453938	dualbound = 3515812.014074, lowerbound=1279029.014074, norm of subgrad 35.439053	 stepsize= 1.000000 
-dualbound = 3515861.941710, lowerbound=1285152.941710, norm of subgrad 1134.178973	dualbound = 3515861.941710, lowerbound=1285152.941710, norm of subgrad 35.481370	 stepsize= 1.000000 
-dualbound = 3515939.201968, lowerbound=1283883.201968, norm of subgrad 1133.604076	dualbound = 3515939.201968, lowerbound=1283883.201968, norm of subgrad 35.387289	 stepsize= 1.000000 
-dualbound = 3515990.688038, lowerbound=1281261.688038, norm of subgrad 1132.447654	dualbound = 3515990.688038, lowerbound=1281261.688038, norm of subgrad 35.035497	 stepsize= 1.000000 
-dualbound = 3516076.815118, lowerbound=1276241.815118, norm of subgrad 1130.231310	dualbound = 3516076.815118, lowerbound=1276241.815118, norm of subgrad 35.596729	 stepsize= 1.000000 
-dualbound = 3516165.333097, lowerbound=1283935.333097, norm of subgrad 1133.630157	dualbound = 3516165.333097, lowerbound=1283935.333097, norm of subgrad 35.644326	 stepsize= 1.000000 
-dualbound = 3516226.715494, lowerbound=1278935.715494, norm of subgrad 1131.441433	dualbound = 3516226.715494, lowerbound=1278935.715494, norm of subgrad 35.852230	 stepsize= 1.000000 
-dualbound = 3516260.369983, lowerbound=1286286.369983, norm of subgrad 1134.684701	dualbound = 3516260.369983, lowerbound=1286286.369983, norm of subgrad 35.449323	 stepsize= 1.000000 
-dualbound = 3516365.837102, lowerbound=1279167.837102, norm of subgrad 1131.532517	dualbound = 3516365.837102, lowerbound=1279167.837102, norm of subgrad 36.103561	 stepsize= 1.000000 
-dualbound = 3516426.851315, lowerbound=1284008.851315, norm of subgrad 1133.688604	dualbound = 3516426.851315, lowerbound=1284008.851315, norm of subgrad 36.083434	 stepsize= 1.000000 
-dualbound = 3516508.087396, lowerbound=1280362.087396, norm of subgrad 1132.080424	dualbound = 3516508.087396, lowerbound=1280362.087396, norm of subgrad 36.403792	 stepsize= 1.000000 
-dualbound = 3516566.046141, lowerbound=1282981.046141, norm of subgrad 1133.224182	dualbound = 3516566.046141, lowerbound=1282981.046141, norm of subgrad 35.692559	 stepsize= 1.000000 
-dualbound = 3516653.851421, lowerbound=1276114.851421, norm of subgrad 1130.199917	dualbound = 3516653.851421, lowerbound=1276114.851421, norm of subgrad 36.397875	 stepsize= 1.000000 
-dualbound = 3516722.849329, lowerbound=1284157.849329, norm of subgrad 1133.740204	dualbound = 3516722.849329, lowerbound=1284157.849329, norm of subgrad 35.749097	 stepsize= 1.000000 
-dualbound = 3516798.819984, lowerbound=1279321.819984, norm of subgrad 1131.576696	dualbound = 3516798.819984, lowerbound=1279321.819984, norm of subgrad 34.928078	 stepsize= 1.000000 
-dualbound = 3516884.352546, lowerbound=1286479.352546, norm of subgrad 1134.743739	dualbound = 3516884.352546, lowerbound=1286479.352546, norm of subgrad 35.348728	 stepsize= 1.000000 
-dualbound = 3516939.409106, lowerbound=1278551.409106, norm of subgrad 1131.267612	dualbound = 3516939.409106, lowerbound=1278551.409106, norm of subgrad 35.637853	 stepsize= 1.000000 
-dualbound = 3517004.796580, lowerbound=1287705.796580, norm of subgrad 1135.291943	dualbound = 3517004.796580, lowerbound=1287705.796580, norm of subgrad 35.318373	 stepsize= 1.000000 
-dualbound = 3517086.470896, lowerbound=1275141.470896, norm of subgrad 1129.726281	dualbound = 3517086.470896, lowerbound=1275141.470896, norm of subgrad 34.952458	 stepsize= 1.000000 
-dualbound = 3517171.492691, lowerbound=1280162.492691, norm of subgrad 1131.979016	dualbound = 3517171.492691, lowerbound=1280162.492691, norm of subgrad 36.041945	 stepsize= 1.000000 
-dualbound = 3517202.694029, lowerbound=1280569.694029, norm of subgrad 1132.161072	dualbound = 3517202.694029, lowerbound=1280569.694029, norm of subgrad 35.358186	 stepsize= 1.000000 
-dualbound = 3517310.809192, lowerbound=1281834.809192, norm of subgrad 1132.698905	dualbound = 3517310.809192, lowerbound=1281834.809192, norm of subgrad 35.778697	 stepsize= 1.000000 
-dualbound = 3517387.157041, lowerbound=1280435.157041, norm of subgrad 1132.089730	dualbound = 3517387.157041, lowerbound=1280435.157041, norm of subgrad 35.613872	 stepsize= 1.000000 
-dualbound = 3517438.633404, lowerbound=1281810.633404, norm of subgrad 1132.700593	dualbound = 3517438.633404, lowerbound=1281810.633404, norm of subgrad 35.376212	 stepsize= 1.000000 
-dualbound = 3517513.242703, lowerbound=1281063.242703, norm of subgrad 1132.371513	dualbound = 3517513.242703, lowerbound=1281063.242703, norm of subgrad 35.729670	 stepsize= 1.000000 
-dualbound = 3517582.620420, lowerbound=1282300.620420, norm of subgrad 1132.908920	dualbound = 3517582.620420, lowerbound=1282300.620420, norm of subgrad 35.374818	 stepsize= 1.000000 
-dualbound = 3517660.882967, lowerbound=1282300.882967, norm of subgrad 1132.938164	dualbound = 3517660.882967, lowerbound=1282300.882967, norm of subgrad 36.417888	 stepsize= 1.000000 
-dualbound = 3517741.211302, lowerbound=1279135.211302, norm of subgrad 1131.511472	dualbound = 3517741.211302, lowerbound=1279135.211302, norm of subgrad 35.543330	 stepsize= 1.000000 
-dualbound = 3517813.935409, lowerbound=1283566.935409, norm of subgrad 1133.463689	dualbound = 3517813.935409, lowerbound=1283566.935409, norm of subgrad 35.294817	 stepsize= 1.000000 
-dualbound = 3517862.696486, lowerbound=1276040.696486, norm of subgrad 1130.156934	dualbound = 3517862.696486, lowerbound=1276040.696486, norm of subgrad 35.535350	 stepsize= 1.000000 
-dualbound = 3517927.453682, lowerbound=1280088.453682, norm of subgrad 1131.959564	dualbound = 3517927.453682, lowerbound=1280088.453682, norm of subgrad 36.176749	 stepsize= 1.000000 
-dualbound = 3518010.716024, lowerbound=1279233.716024, norm of subgrad 1131.579302	dualbound = 3518010.716024, lowerbound=1279233.716024, norm of subgrad 36.349173	 stepsize= 1.000000 
-dualbound = 3518065.631796, lowerbound=1278683.631796, norm of subgrad 1131.306162	dualbound = 3518065.631796, lowerbound=1278683.631796, norm of subgrad 34.998797	 stepsize= 1.000000 
-dualbound = 3518178.992008, lowerbound=1276263.992008, norm of subgrad 1130.257932	dualbound = 3518178.992008, lowerbound=1276263.992008, norm of subgrad 36.501510	 stepsize= 1.000000 
-dualbound = 3518205.092797, lowerbound=1284236.092797, norm of subgrad 1133.802493	dualbound = 3518205.092797, lowerbound=1284236.092797, norm of subgrad 36.029166	 stepsize= 1.000000 
-dualbound = 3518301.924363, lowerbound=1284231.924363, norm of subgrad 1133.793599	dualbound = 3518301.924363, lowerbound=1284231.924363, norm of subgrad 36.780859	 stepsize= 1.000000 
-dualbound = 3518370.127043, lowerbound=1284642.127043, norm of subgrad 1133.944499	dualbound = 3518370.127043, lowerbound=1284642.127043, norm of subgrad 35.442950	 stepsize= 1.000000 
-dualbound = 3518459.189984, lowerbound=1278539.189984, norm of subgrad 1131.273703	dualbound = 3518459.189984, lowerbound=1278539.189984, norm of subgrad 36.470028	 stepsize= 1.000000 
-dualbound = 3518500.764761, lowerbound=1284380.764761, norm of subgrad 1133.817783	dualbound = 3518500.764761, lowerbound=1284380.764761, norm of subgrad 34.692575	 stepsize= 1.000000 
-dualbound = 3518590.692015, lowerbound=1286179.692015, norm of subgrad 1134.614336	dualbound = 3518590.692015, lowerbound=1286179.692015, norm of subgrad 35.495454	 stepsize= 1.000000 
-dualbound = 3518662.932878, lowerbound=1280613.932878, norm of subgrad 1132.184584	dualbound = 3518662.932878, lowerbound=1280613.932878, norm of subgrad 36.058853	 stepsize= 1.000000 
-dualbound = 3518727.867690, lowerbound=1280624.867690, norm of subgrad 1132.181906	dualbound = 3518727.867690, lowerbound=1280624.867690, norm of subgrad 35.720230	 stepsize= 1.000000 
-dualbound = 3518823.228331, lowerbound=1283671.228331, norm of subgrad 1133.500873	dualbound = 3518823.228331, lowerbound=1283671.228331, norm of subgrad 35.332147	 stepsize= 1.000000 
-dualbound = 3518885.693365, lowerbound=1281691.693365, norm of subgrad 1132.660008	dualbound = 3518885.693365, lowerbound=1281691.693365, norm of subgrad 35.909122	 stepsize= 1.000000 
-dualbound = 3518968.548288, lowerbound=1284387.548288, norm of subgrad 1133.830476	dualbound = 3518968.548288, lowerbound=1284387.548288, norm of subgrad 35.592906	 stepsize= 1.000000 
-dualbound = 3519007.429202, lowerbound=1280671.429202, norm of subgrad 1132.209534	dualbound = 3519007.429202, lowerbound=1280671.429202, norm of subgrad 35.579220	 stepsize= 1.000000 
-dualbound = 3519108.062268, lowerbound=1281691.062268, norm of subgrad 1132.638540	dualbound = 3519108.062268, lowerbound=1281691.062268, norm of subgrad 35.771959	 stepsize= 1.000000 
-dualbound = 3519158.467682, lowerbound=1279345.467682, norm of subgrad 1131.596424	dualbound = 3519158.467682, lowerbound=1279345.467682, norm of subgrad 34.862665	 stepsize= 1.000000 
-dualbound = 3519255.447016, lowerbound=1281794.447016, norm of subgrad 1132.680205	dualbound = 3519255.447016, lowerbound=1281794.447016, norm of subgrad 35.594653	 stepsize= 1.000000 
-dualbound = 3519312.040265, lowerbound=1280718.040265, norm of subgrad 1132.244249	dualbound = 3519312.040265, lowerbound=1280718.040265, norm of subgrad 36.271108	 stepsize= 1.000000 
-dualbound = 3519388.035993, lowerbound=1282345.035993, norm of subgrad 1132.917047	dualbound = 3519388.035993, lowerbound=1282345.035993, norm of subgrad 35.099797	 stepsize= 1.000000 
-dualbound = 3519450.903770, lowerbound=1280495.903770, norm of subgrad 1132.109934	dualbound = 3519450.903770, lowerbound=1280495.903770, norm of subgrad 35.211756	 stepsize= 1.000000 
-dualbound = 3519541.123768, lowerbound=1276149.123768, norm of subgrad 1130.204019	dualbound = 3519541.123768, lowerbound=1276149.123768, norm of subgrad 36.086285	 stepsize= 1.000000 
-dualbound = 3519588.320473, lowerbound=1279390.320473, norm of subgrad 1131.648497	dualbound = 3519588.320473, lowerbound=1279390.320473, norm of subgrad 35.849640	 stepsize= 1.000000 
-dualbound = 3519656.713075, lowerbound=1285357.713075, norm of subgrad 1134.278940	dualbound = 3519656.713075, lowerbound=1285357.713075, norm of subgrad 36.047089	 stepsize= 1.000000 
-dualbound = 3519731.337697, lowerbound=1283621.337697, norm of subgrad 1133.501803	dualbound = 3519731.337697, lowerbound=1283621.337697, norm of subgrad 35.771841	 stepsize= 1.000000 
-dualbound = 3519822.578393, lowerbound=1284727.578393, norm of subgrad 1133.977327	dualbound = 3519822.578393, lowerbound=1284727.578393, norm of subgrad 35.612367	 stepsize= 1.000000 
-dualbound = 3519895.948975, lowerbound=1277729.948975, norm of subgrad 1130.930126	dualbound = 3519895.948975, lowerbound=1277729.948975, norm of subgrad 36.692923	 stepsize= 1.000000 
-dualbound = 3519924.241508, lowerbound=1286914.241508, norm of subgrad 1134.974996	dualbound = 3519924.241508, lowerbound=1286914.241508, norm of subgrad 35.809112	 stepsize= 1.000000 
-dualbound = 3520014.657445, lowerbound=1282494.657445, norm of subgrad 1132.981314	dualbound = 3520014.657445, lowerbound=1282494.657445, norm of subgrad 35.247921	 stepsize= 1.000000 
-dualbound = 3520100.775588, lowerbound=1284393.775588, norm of subgrad 1133.827930	dualbound = 3520100.775588, lowerbound=1284393.775588, norm of subgrad 35.469961	 stepsize= 1.000000 
-dualbound = 3520180.395221, lowerbound=1276155.395221, norm of subgrad 1130.211659	dualbound = 3520180.395221, lowerbound=1276155.395221, norm of subgrad 36.091822	 stepsize= 1.000000 
-dualbound = 3520235.252234, lowerbound=1288290.252234, norm of subgrad 1135.562086	dualbound = 3520235.252234, lowerbound=1288290.252234, norm of subgrad 35.578884	 stepsize= 1.000000 
-dualbound = 3520312.376458, lowerbound=1280374.376458, norm of subgrad 1132.058910	dualbound = 3520312.376458, lowerbound=1280374.376458, norm of subgrad 35.498228	 stepsize= 1.000000 
-dualbound = 3520398.998893, lowerbound=1287212.998893, norm of subgrad 1135.083256	dualbound = 3520398.998893, lowerbound=1287212.998893, norm of subgrad 35.883456	 stepsize= 1.000000 
-dualbound = 3520435.447559, lowerbound=1280325.447559, norm of subgrad 1132.050550	dualbound = 3520435.447559, lowerbound=1280325.447559, norm of subgrad 35.347541	 stepsize= 1.000000 
-dualbound = 3520529.945509, lowerbound=1283981.945509, norm of subgrad 1133.681589	dualbound = 3520529.945509, lowerbound=1283981.945509, norm of subgrad 36.694658	 stepsize= 1.000000 
-dualbound = 3520581.210714, lowerbound=1281519.210714, norm of subgrad 1132.573711	dualbound = 3520581.210714, lowerbound=1281519.210714, norm of subgrad 35.429722	 stepsize= 1.000000 
-dualbound = 3520686.723243, lowerbound=1280171.723243, norm of subgrad 1131.964983	dualbound = 3520686.723243, lowerbound=1280171.723243, norm of subgrad 35.756294	 stepsize= 1.000000 
-dualbound = 3520763.017825, lowerbound=1275607.017825, norm of subgrad 1129.955759	dualbound = 3520763.017825, lowerbound=1275607.017825, norm of subgrad 35.627161	 stepsize= 1.000000 
-dualbound = 3520815.599037, lowerbound=1280452.599037, norm of subgrad 1132.108475	dualbound = 3520815.599037, lowerbound=1280452.599037, norm of subgrad 35.631183	 stepsize= 1.000000 
-dualbound = 3520897.465003, lowerbound=1281113.465003, norm of subgrad 1132.382650	dualbound = 3520897.465003, lowerbound=1281113.465003, norm of subgrad 35.480501	 stepsize= 1.000000 
-dualbound = 3520976.885772, lowerbound=1282478.885772, norm of subgrad 1132.996419	dualbound = 3520976.885772, lowerbound=1282478.885772, norm of subgrad 35.796938	 stepsize= 1.000000 
-dualbound = 3521033.145299, lowerbound=1282115.145299, norm of subgrad 1132.861044	dualbound = 3521033.145299, lowerbound=1282115.145299, norm of subgrad 36.266507	 stepsize= 1.000000 
-dualbound = 3521094.104180, lowerbound=1283790.104180, norm of subgrad 1133.582421	dualbound = 3521094.104180, lowerbound=1283790.104180, norm of subgrad 35.776513	 stepsize= 1.000000 
-dualbound = 3521182.738368, lowerbound=1280090.738368, norm of subgrad 1131.939812	dualbound = 3521182.738368, lowerbound=1280090.738368, norm of subgrad 35.855741	 stepsize= 1.000000 
-dualbound = 3521246.317744, lowerbound=1283454.317744, norm of subgrad 1133.433861	dualbound = 3521246.317744, lowerbound=1283454.317744, norm of subgrad 35.799153	 stepsize= 1.000000 
-dualbound = 3521337.742188, lowerbound=1282952.742188, norm of subgrad 1133.220077	dualbound = 3521337.742188, lowerbound=1282952.742188, norm of subgrad 36.420110	 stepsize= 1.000000 
-dualbound = 3521377.670465, lowerbound=1288864.670465, norm of subgrad 1135.803535	dualbound = 3521377.670465, lowerbound=1288864.670465, norm of subgrad 34.998975	 stepsize= 1.000000 
-dualbound = 3521492.320485, lowerbound=1278723.320485, norm of subgrad 1131.306024	dualbound = 3521492.320485, lowerbound=1278723.320485, norm of subgrad 35.279598	 stepsize= 1.000000 
-dualbound = 3521528.655673, lowerbound=1287696.655673, norm of subgrad 1135.314342	dualbound = 3521528.655673, lowerbound=1287696.655673, norm of subgrad 35.753814	 stepsize= 1.000000 
-dualbound = 3521600.372581, lowerbound=1279429.372581, norm of subgrad 1131.656915	dualbound = 3521600.372581, lowerbound=1279429.372581, norm of subgrad 35.912629	 stepsize= 1.000000 
-dualbound = 3521649.618258, lowerbound=1280997.618258, norm of subgrad 1132.365497	dualbound = 3521649.618258, lowerbound=1280997.618258, norm of subgrad 36.100494	 stepsize= 1.000000 
-dualbound = 3521747.277938, lowerbound=1277370.277938, norm of subgrad 1130.747221	dualbound = 3521747.277938, lowerbound=1277370.277938, norm of subgrad 36.285805	 stepsize= 1.000000 
-dualbound = 3521812.821265, lowerbound=1288191.821265, norm of subgrad 1135.505976	dualbound = 3521812.821265, lowerbound=1288191.821265, norm of subgrad 35.320579	 stepsize= 1.000000 
-dualbound = 3521906.581611, lowerbound=1275850.581611, norm of subgrad 1130.065742	dualbound = 3521906.581611, lowerbound=1275850.581611, norm of subgrad 35.941068	 stepsize= 1.000000 
-dualbound = 3521963.928169, lowerbound=1285618.928169, norm of subgrad 1134.379534	dualbound = 3521963.928169, lowerbound=1285618.928169, norm of subgrad 35.430870	 stepsize= 1.000000 
-dualbound = 3522041.714687, lowerbound=1280377.714687, norm of subgrad 1132.062151	dualbound = 3522041.714687, lowerbound=1280377.714687, norm of subgrad 35.563837	 stepsize= 1.000000 
-dualbound = 3522105.059904, lowerbound=1283255.059904, norm of subgrad 1133.320811	dualbound = 3522105.059904, lowerbound=1283255.059904, norm of subgrad 34.990645	 stepsize= 1.000000 
-dualbound = 3522197.093370, lowerbound=1277610.093370, norm of subgrad 1130.847953	dualbound = 3522197.093370, lowerbound=1277610.093370, norm of subgrad 36.042107	 stepsize= 1.000000 
-dualbound = 3522261.248729, lowerbound=1276304.248729, norm of subgrad 1130.260699	dualbound = 3522261.248729, lowerbound=1276304.248729, norm of subgrad 35.343392	 stepsize= 1.000000 
-dualbound = 3522333.590582, lowerbound=1278868.590582, norm of subgrad 1131.409559	dualbound = 3522333.590582, lowerbound=1278868.590582, norm of subgrad 35.935245	 stepsize= 1.000000 
-dualbound = 3522384.042761, lowerbound=1283735.042761, norm of subgrad 1133.571808	dualbound = 3522384.042761, lowerbound=1283735.042761, norm of subgrad 36.061783	 stepsize= 1.000000 
-dualbound = 3522477.211326, lowerbound=1279455.211326, norm of subgrad 1131.673191	dualbound = 3522477.211326, lowerbound=1279455.211326, norm of subgrad 36.361636	 stepsize= 1.000000 
-dualbound = 3522549.584776, lowerbound=1288722.584776, norm of subgrad 1135.750670	dualbound = 3522549.584776, lowerbound=1288722.584776, norm of subgrad 35.768330	 stepsize= 1.000000 
-dualbound = 3522610.566641, lowerbound=1274249.566641, norm of subgrad 1129.393008	dualbound = 3522610.566641, lowerbound=1274249.566641, norm of subgrad 36.605763	 stepsize= 1.000000 
-dualbound = 3522674.278656, lowerbound=1281910.278656, norm of subgrad 1132.740605	dualbound = 3522674.278656, lowerbound=1281910.278656, norm of subgrad 35.421914	 stepsize= 1.000000 
-dualbound = 3522768.781926, lowerbound=1283207.781926, norm of subgrad 1133.294658	dualbound = 3522768.781926, lowerbound=1283207.781926, norm of subgrad 35.263342	 stepsize= 1.000000 
-dualbound = 3522842.386683, lowerbound=1285613.386683, norm of subgrad 1134.352409	dualbound = 3522842.386683, lowerbound=1285613.386683, norm of subgrad 34.865524	 stepsize= 1.000000 
-dualbound = 3522898.526185, lowerbound=1281724.526185, norm of subgrad 1132.640069	dualbound = 3522898.526185, lowerbound=1281724.526185, norm of subgrad 34.715119	 stepsize= 1.000000 
-dualbound = 3522962.235701, lowerbound=1289654.235701, norm of subgrad 1136.173946	dualbound = 3522962.235701, lowerbound=1289654.235701, norm of subgrad 36.065351	 stepsize= 1.000000 
-dualbound = 3523042.589409, lowerbound=1281167.589409, norm of subgrad 1132.401249	dualbound = 3523042.589409, lowerbound=1281167.589409, norm of subgrad 35.289569	 stepsize= 1.000000 
-dualbound = 3523120.086568, lowerbound=1286854.086568, norm of subgrad 1134.893866	dualbound = 3523120.086568, lowerbound=1286854.086568, norm of subgrad 34.749060	 stepsize= 1.000000 
-dualbound = 3523194.345768, lowerbound=1276381.345768, norm of subgrad 1130.280649	dualbound = 3523194.345768, lowerbound=1276381.345768, norm of subgrad 35.032259	 stepsize= 1.000000 
-dualbound = 3523252.850471, lowerbound=1288487.850471, norm of subgrad 1135.662736	dualbound = 3523252.850471, lowerbound=1288487.850471, norm of subgrad 36.062511	 stepsize= 1.000000 
-dualbound = 3523282.835825, lowerbound=1278901.835825, norm of subgrad 1131.432647	dualbound = 3523282.835825, lowerbound=1278901.835825, norm of subgrad 35.608782	 stepsize= 1.000000 
-dualbound = 3523388.786212, lowerbound=1287020.786212, norm of subgrad 1135.006954	dualbound = 3523388.786212, lowerbound=1287020.786212, norm of subgrad 36.413602	 stepsize= 1.000000 
-dualbound = 3523458.021026, lowerbound=1281770.021026, norm of subgrad 1132.681783	dualbound = 3523458.021026, lowerbound=1281770.021026, norm of subgrad 35.598242	 stepsize= 1.000000 
-dualbound = 3523537.320030, lowerbound=1288663.320030, norm of subgrad 1135.726781	dualbound = 3523537.320030, lowerbound=1288663.320030, norm of subgrad 35.934649	 stepsize= 1.000000 
-dualbound = 3523603.305060, lowerbound=1278985.305060, norm of subgrad 1131.465556	dualbound = 3523603.305060, lowerbound=1278985.305060, norm of subgrad 35.985900	 stepsize= 1.000000 
-dualbound = 3523670.539128, lowerbound=1285120.539128, norm of subgrad 1134.144849	dualbound = 3523670.539128, lowerbound=1285120.539128, norm of subgrad 35.088945	 stepsize= 1.000000 
-dualbound = 3523744.656608, lowerbound=1279853.656608, norm of subgrad 1131.843035	dualbound = 3523744.656608, lowerbound=1279853.656608, norm of subgrad 35.904282	 stepsize= 1.000000 
-dualbound = 3523815.808740, lowerbound=1286285.808740, norm of subgrad 1134.681809	dualbound = 3523815.808740, lowerbound=1286285.808740, norm of subgrad 35.890836	 stepsize= 1.000000 
-dualbound = 3523878.806198, lowerbound=1279255.806198, norm of subgrad 1131.587737	dualbound = 3523878.806198, lowerbound=1279255.806198, norm of subgrad 36.027732	 stepsize= 1.000000 
-dualbound = 3523966.755583, lowerbound=1279961.755583, norm of subgrad 1131.882395	dualbound = 3523966.755583, lowerbound=1279961.755583, norm of subgrad 35.832239	 stepsize= 1.000000 
-dualbound = 3524022.282861, lowerbound=1277578.282861, norm of subgrad 1130.856880	dualbound = 3524022.282861, lowerbound=1277578.282861, norm of subgrad 36.256410	 stepsize= 1.000000 
-dualbound = 3524089.419909, lowerbound=1281083.419909, norm of subgrad 1132.381305	dualbound = 3524089.419909, lowerbound=1281083.419909, norm of subgrad 35.653009	 stepsize= 1.000000 
-dualbound = 3524184.245930, lowerbound=1285808.245930, norm of subgrad 1134.449314	dualbound = 3524184.245930, lowerbound=1285808.245930, norm of subgrad 35.522191	 stepsize= 1.000000 
-dualbound = 3524256.020711, lowerbound=1282044.020711, norm of subgrad 1132.826121	dualbound = 3524256.020711, lowerbound=1282044.020711, norm of subgrad 36.369971	 stepsize= 1.000000 
-dualbound = 3524288.861409, lowerbound=1287370.861409, norm of subgrad 1135.178339	dualbound = 3524288.861409, lowerbound=1287370.861409, norm of subgrad 35.942185	 stepsize= 1.000000 
-dualbound = 3524386.784421, lowerbound=1284390.784421, norm of subgrad 1133.811177	dualbound = 3524386.784421, lowerbound=1284390.784421, norm of subgrad 35.141471	 stepsize= 1.000000 
-dualbound = 3524472.615126, lowerbound=1279643.615126, norm of subgrad 1131.725062	dualbound = 3524472.615126, lowerbound=1279643.615126, norm of subgrad 35.267984	 stepsize= 1.000000 
-dualbound = 3524541.022004, lowerbound=1286625.022004, norm of subgrad 1134.821582	dualbound = 3524541.022004, lowerbound=1286625.022004, norm of subgrad 35.544435	 stepsize= 1.000000 
-dualbound = 3524599.381557, lowerbound=1283725.381557, norm of subgrad 1133.547697	dualbound = 3524599.381557, lowerbound=1283725.381557, norm of subgrad 35.543770	 stepsize= 1.000000 
-dualbound = 3524661.829694, lowerbound=1281892.829694, norm of subgrad 1132.754532	dualbound = 3524661.829694, lowerbound=1281892.829694, norm of subgrad 36.089446	 stepsize= 1.000000 
-dualbound = 3524720.358719, lowerbound=1284737.358719, norm of subgrad 1134.012504	dualbound = 3524720.358719, lowerbound=1284737.358719, norm of subgrad 36.132105	 stepsize= 1.000000 
-dualbound = 3524793.311717, lowerbound=1281345.311717, norm of subgrad 1132.530049	dualbound = 3524793.311717, lowerbound=1281345.311717, norm of subgrad 36.768913	 stepsize= 1.000000 
-dualbound = 3524850.532443, lowerbound=1281988.532443, norm of subgrad 1132.815313	dualbound = 3524850.532443, lowerbound=1281988.532443, norm of subgrad 36.595365	 stepsize= 1.000000 
-dualbound = 3524953.849771, lowerbound=1280561.849771, norm of subgrad 1132.132876	dualbound = 3524953.849771, lowerbound=1280561.849771, norm of subgrad 35.585353	 stepsize= 1.000000 
-dualbound = 3525024.269422, lowerbound=1283830.269422, norm of subgrad 1133.586022	dualbound = 3525024.269422, lowerbound=1283830.269422, norm of subgrad 35.460114	 stepsize= 1.000000 
-dualbound = 3525119.367094, lowerbound=1283731.367094, norm of subgrad 1133.538869	dualbound = 3525119.367094, lowerbound=1283731.367094, norm of subgrad 35.694505	 stepsize= 1.000000 
-dualbound = 3525167.749544, lowerbound=1279800.749544, norm of subgrad 1131.832474	dualbound = 3525167.749544, lowerbound=1279800.749544, norm of subgrad 35.949721	 stepsize= 1.000000 
-dualbound = 3525245.748251, lowerbound=1285550.748251, norm of subgrad 1134.362265	dualbound = 3525245.748251, lowerbound=1285550.748251, norm of subgrad 36.124766	 stepsize= 1.000000 
-dualbound = 3525306.866521, lowerbound=1279335.866521, norm of subgrad 1131.608089	dualbound = 3525306.866521, lowerbound=1279335.866521, norm of subgrad 35.526304	 stepsize= 1.000000 
-dualbound = 3525412.362889, lowerbound=1284527.362889, norm of subgrad 1133.888162	dualbound = 3525412.362889, lowerbound=1284527.362889, norm of subgrad 35.784024	 stepsize= 1.000000 
-dualbound = 3525461.017627, lowerbound=1284175.017627, norm of subgrad 1133.733222	dualbound = 3525461.017627, lowerbound=1284175.017627, norm of subgrad 34.995067	 stepsize= 1.000000 
-dualbound = 3525537.445858, lowerbound=1282007.445858, norm of subgrad 1132.790557	dualbound = 3525537.445858, lowerbound=1282007.445858, norm of subgrad 35.824967	 stepsize= 1.000000 
-dualbound = 3525605.682067, lowerbound=1283766.682067, norm of subgrad 1133.562386	dualbound = 3525605.682067, lowerbound=1283766.682067, norm of subgrad 35.570159	 stepsize= 1.000000 
-dualbound = 3525659.671474, lowerbound=1278136.671474, norm of subgrad 1131.094015	dualbound = 3525659.671474, lowerbound=1278136.671474, norm of subgrad 35.930341	 stepsize= 1.000000 
-dualbound = 3525731.586077, lowerbound=1285489.586077, norm of subgrad 1134.329135	dualbound = 3525731.586077, lowerbound=1285489.586077, norm of subgrad 35.845706	 stepsize= 1.000000 
-dualbound = 3525819.706676, lowerbound=1282420.706676, norm of subgrad 1132.956180	dualbound = 3525819.706676, lowerbound=1282420.706676, norm of subgrad 35.455897	 stepsize= 1.000000 
-dualbound = 3525868.575964, lowerbound=1283381.575964, norm of subgrad 1133.398242	dualbound = 3525868.575964, lowerbound=1283381.575964, norm of subgrad 35.480548	 stepsize= 1.000000 
-dualbound = 3525958.159878, lowerbound=1280313.159878, norm of subgrad 1132.058373	dualbound = 3525958.159878, lowerbound=1280313.159878, norm of subgrad 36.504574	 stepsize= 1.000000 
-dualbound = 3526005.656163, lowerbound=1284138.656163, norm of subgrad 1133.736590	dualbound = 3526005.656163, lowerbound=1284138.656163, norm of subgrad 35.601914	 stepsize= 1.000000 
-dualbound = 3526090.061627, lowerbound=1284009.061627, norm of subgrad 1133.672819	dualbound = 3526090.061627, lowerbound=1284009.061627, norm of subgrad 35.908292	 stepsize= 1.000000 
-dualbound = 3526160.176346, lowerbound=1278961.176346, norm of subgrad 1131.437217	dualbound = 3526160.176346, lowerbound=1278961.176346, norm of subgrad 35.484007	 stepsize= 1.000000 
-dualbound = 3526250.601754, lowerbound=1281690.601754, norm of subgrad 1132.644517	dualbound = 3526250.601754, lowerbound=1281690.601754, norm of subgrad 35.824927	 stepsize= 1.000000 
-dualbound = 3526305.613864, lowerbound=1285536.613864, norm of subgrad 1134.318568	dualbound = 3526305.613864, lowerbound=1285536.613864, norm of subgrad 34.597863	 stepsize= 1.000000 
-dualbound = 3526399.932348, lowerbound=1283378.932348, norm of subgrad 1133.384724	dualbound = 3526399.932348, lowerbound=1283378.932348, norm of subgrad 35.725600	 stepsize= 1.000000 
-dualbound = 3526435.242865, lowerbound=1281302.242865, norm of subgrad 1132.491167	dualbound = 3526435.242865, lowerbound=1281302.242865, norm of subgrad 35.627384	 stepsize= 1.000000 
-dualbound = 3526505.853518, lowerbound=1285040.853518, norm of subgrad 1134.141902	dualbound = 3526505.853518, lowerbound=1285040.853518, norm of subgrad 36.160900	 stepsize= 1.000000 
-dualbound = 3526576.168380, lowerbound=1282585.168380, norm of subgrad 1133.057443	dualbound = 3526576.168380, lowerbound=1282585.168380, norm of subgrad 36.115300	 stepsize= 1.000000 
-dualbound = 3526646.814209, lowerbound=1282810.814209, norm of subgrad 1133.138921	dualbound = 3526646.814209, lowerbound=1282810.814209, norm of subgrad 35.547796	 stepsize= 1.000000 
-dualbound = 3526747.621761, lowerbound=1283475.621761, norm of subgrad 1133.413703	dualbound = 3526747.621761, lowerbound=1283475.621761, norm of subgrad 35.380892	 stepsize= 1.000000 
-dualbound = 3526809.998493, lowerbound=1284568.998493, norm of subgrad 1133.924159	dualbound = 3526809.998493, lowerbound=1284568.998493, norm of subgrad 35.740408	 stepsize= 1.000000 
-dualbound = 3526876.251967, lowerbound=1280872.251967, norm of subgrad 1132.291593	dualbound = 3526876.251967, lowerbound=1280872.251967, norm of subgrad 35.752671	 stepsize= 1.000000 
-dualbound = 3526939.802231, lowerbound=1282638.802231, norm of subgrad 1133.033010	dualbound = 3526939.802231, lowerbound=1282638.802231, norm of subgrad 34.475357	 stepsize= 1.000000 
-dualbound = 3527023.309837, lowerbound=1280577.309837, norm of subgrad 1132.132638	dualbound = 3527023.309837, lowerbound=1280577.309837, norm of subgrad 35.078592	 stepsize= 1.000000 
-dualbound = 3527109.297641, lowerbound=1286740.297641, norm of subgrad 1134.827431	dualbound = 3527109.297641, lowerbound=1286740.297641, norm of subgrad 34.336392	 stepsize= 1.000000 
-dualbound = 3527161.790520, lowerbound=1278244.790520, norm of subgrad 1131.113076	dualbound = 3527161.790520, lowerbound=1278244.790520, norm of subgrad 34.992755	 stepsize= 1.000000 
-dualbound = 3527216.172574, lowerbound=1286046.172574, norm of subgrad 1134.581497	dualbound = 3527216.172574, lowerbound=1286046.172574, norm of subgrad 35.824322	 stepsize= 1.000000 
-dualbound = 3527279.553259, lowerbound=1278875.553259, norm of subgrad 1131.428545	dualbound = 3527279.553259, lowerbound=1278875.553259, norm of subgrad 36.309512	 stepsize= 1.000000 
-dualbound = 3527356.681790, lowerbound=1287939.681790, norm of subgrad 1135.384817	dualbound = 3527356.681790, lowerbound=1287939.681790, norm of subgrad 35.158620	 stepsize= 1.000000 
-dualbound = 3527434.932007, lowerbound=1279194.932007, norm of subgrad 1131.542722	dualbound = 3527434.932007, lowerbound=1279194.932007, norm of subgrad 35.668617	 stepsize= 1.000000 
-dualbound = 3527515.275781, lowerbound=1284907.275781, norm of subgrad 1134.067139	dualbound = 3527515.275781, lowerbound=1284907.275781, norm of subgrad 35.795863	 stepsize= 1.000000 
-dualbound = 3527575.965750, lowerbound=1287022.965750, norm of subgrad 1135.013201	dualbound = 3527575.965750, lowerbound=1287022.965750, norm of subgrad 35.953998	 stepsize= 1.000000 
-dualbound = 3527621.878243, lowerbound=1286775.878243, norm of subgrad 1134.892893	dualbound = 3527621.878243, lowerbound=1286775.878243, norm of subgrad 35.382375	 stepsize= 1.000000 
-dualbound = 3527725.710013, lowerbound=1284850.710013, norm of subgrad 1134.032940	dualbound = 3527725.710013, lowerbound=1284850.710013, norm of subgrad 35.830598	 stepsize= 1.000000 
-dualbound = 3527799.906608, lowerbound=1282792.906608, norm of subgrad 1133.123077	dualbound = 3527799.906608, lowerbound=1282792.906608, norm of subgrad 35.343975	 stepsize= 1.000000 
-dualbound = 3527858.081693, lowerbound=1284306.081693, norm of subgrad 1133.786171	dualbound = 3527858.081693, lowerbound=1284306.081693, norm of subgrad 34.973920	 stepsize= 1.000000 
-dualbound = 3527950.699471, lowerbound=1280195.699471, norm of subgrad 1131.971157	dualbound = 3527950.699471, lowerbound=1280195.699471, norm of subgrad 35.434697	 stepsize= 1.000000 
-dualbound = 3528006.950174, lowerbound=1285166.950174, norm of subgrad 1134.178976	dualbound = 3528006.950174, lowerbound=1285166.950174, norm of subgrad 35.373022	 stepsize= 1.000000 
-dualbound = 3528074.658075, lowerbound=1286433.658075, norm of subgrad 1134.733298	dualbound = 3528074.658075, lowerbound=1286433.658075, norm of subgrad 35.407738	 stepsize= 1.000000 
-dualbound = 3528140.203572, lowerbound=1281694.203572, norm of subgrad 1132.661116	dualbound = 3528140.203572, lowerbound=1281694.203572, norm of subgrad 35.951989	 stepsize= 1.000000 
-dualbound = 3528221.223495, lowerbound=1288016.223495, norm of subgrad 1135.462119	dualbound = 3528221.223495, lowerbound=1288016.223495, norm of subgrad 36.592621	 stepsize= 1.000000 
-dualbound = 3528278.303406, lowerbound=1277898.303406, norm of subgrad 1130.984661	dualbound = 3528278.303406, lowerbound=1277898.303406, norm of subgrad 35.848011	 stepsize= 1.000000 
-dualbound = 3528360.691695, lowerbound=1288476.691695, norm of subgrad 1135.615556	dualbound = 3528360.691695, lowerbound=1288476.691695, norm of subgrad 35.048371	 stepsize= 1.000000 
-dualbound = 3528429.138580, lowerbound=1280133.138580, norm of subgrad 1131.925854	dualbound = 3528429.138580, lowerbound=1280133.138580, norm of subgrad 34.517342	 stepsize= 1.000000 
-dualbound = 3528531.537810, lowerbound=1282098.537810, norm of subgrad 1132.814874	dualbound = 3528531.537810, lowerbound=1282098.537810, norm of subgrad 35.684720	 stepsize= 1.000000 
-dualbound = 3528562.865881, lowerbound=1280950.865881, norm of subgrad 1132.312618	dualbound = 3528562.865881, lowerbound=1280950.865881, norm of subgrad 34.818502	 stepsize= 1.000000 
-dualbound = 3528650.661942, lowerbound=1285442.661942, norm of subgrad 1134.286852	dualbound = 3528650.661942, lowerbound=1285442.661942, norm of subgrad 35.380730	 stepsize= 1.000000 
-dualbound = 3528704.036002, lowerbound=1277990.036002, norm of subgrad 1130.994269	dualbound = 3528704.036002, lowerbound=1277990.036002, norm of subgrad 34.804799	 stepsize= 1.000000 
-dualbound = 3528792.261442, lowerbound=1287047.261442, norm of subgrad 1135.002318	dualbound = 3528792.261442, lowerbound=1287047.261442, norm of subgrad 35.654249	 stepsize= 1.000000 
-dualbound = 3528835.320023, lowerbound=1283979.320023, norm of subgrad 1133.691016	dualbound = 3528835.320023, lowerbound=1283979.320023, norm of subgrad 36.318846	 stepsize= 1.000000 
-dualbound = 3528888.169502, lowerbound=1286435.169502, norm of subgrad 1134.752030	dualbound = 3528888.169502, lowerbound=1286435.169502, norm of subgrad 35.774984	 stepsize= 1.000000 
-dualbound = 3528987.070366, lowerbound=1279602.070366, norm of subgrad 1131.734982	dualbound = 3528987.070366, lowerbound=1279602.070366, norm of subgrad 36.344200	 stepsize= 1.000000 
-dualbound = 3529038.613335, lowerbound=1284551.613335, norm of subgrad 1133.946477	dualbound = 3529038.613335, lowerbound=1284551.613335, norm of subgrad 36.531397	 stepsize= 1.000000 
-dualbound = 3529090.603633, lowerbound=1281279.603633, norm of subgrad 1132.471900	dualbound = 3529090.603633, lowerbound=1281279.603633, norm of subgrad 35.566702	 stepsize= 1.000000 
-dualbound = 3529184.646869, lowerbound=1287164.646869, norm of subgrad 1135.097197	dualbound = 3529184.646869, lowerbound=1287164.646869, norm of subgrad 37.081575	 stepsize= 1.000000 
-dualbound = 3529261.310557, lowerbound=1287872.310557, norm of subgrad 1135.378047	dualbound = 3529261.310557, lowerbound=1287872.310557, norm of subgrad 35.884031	 stepsize= 1.000000 
-dualbound = 3529321.622765, lowerbound=1284442.622765, norm of subgrad 1133.852999	dualbound = 3529321.622765, lowerbound=1284442.622765, norm of subgrad 35.218066	 stepsize= 1.000000 
-dualbound = 3529405.624050, lowerbound=1280741.624050, norm of subgrad 1132.197255	dualbound = 3529405.624050, lowerbound=1280741.624050, norm of subgrad 34.828168	 stepsize= 1.000000 
-dualbound = 3529481.431012, lowerbound=1287828.431012, norm of subgrad 1135.331859	dualbound = 3529481.431012, lowerbound=1287828.431012, norm of subgrad 35.011526	 stepsize= 1.000000 
-dualbound = 3529543.493376, lowerbound=1282939.493376, norm of subgrad 1133.193493	dualbound = 3529543.493376, lowerbound=1282939.493376, norm of subgrad 35.356221	 stepsize= 1.000000 
-dualbound = 3529604.989329, lowerbound=1292554.989329, norm of subgrad 1137.454610	dualbound = 3529604.989329, lowerbound=1292554.989329, norm of subgrad 36.186958	 stepsize= 1.000000 
-dualbound = 3529669.403660, lowerbound=1282368.403660, norm of subgrad 1132.951633	dualbound = 3529669.403660, lowerbound=1282368.403660, norm of subgrad 35.712943	 stepsize= 1.000000 
-dualbound = 3529744.475219, lowerbound=1282671.475219, norm of subgrad 1133.082731	dualbound = 3529744.475219, lowerbound=1282671.475219, norm of subgrad 35.778088	 stepsize= 1.000000 
-dualbound = 3529806.732052, lowerbound=1281469.732052, norm of subgrad 1132.540830	dualbound = 3529806.732052, lowerbound=1281469.732052, norm of subgrad 35.231475	 stepsize= 1.000000 
-dualbound = 3529892.273158, lowerbound=1281961.273158, norm of subgrad 1132.750755	dualbound = 3529892.273158, lowerbound=1281961.273158, norm of subgrad 35.334701	 stepsize= 1.000000 
-dualbound = 3529950.458092, lowerbound=1283665.458092, norm of subgrad 1133.518618	dualbound = 3529950.458092, lowerbound=1283665.458092, norm of subgrad 35.456804	 stepsize= 1.000000 
-dualbound = 3530017.833604, lowerbound=1285149.833604, norm of subgrad 1134.181129	dualbound = 3530017.833604, lowerbound=1285149.833604, norm of subgrad 35.838185	 stepsize= 1.000000 
-dualbound = 3530091.836327, lowerbound=1283093.836327, norm of subgrad 1133.280123	dualbound = 3530091.836327, lowerbound=1283093.836327, norm of subgrad 36.110978	 stepsize= 1.000000 
-dualbound = 3530149.200673, lowerbound=1282933.200673, norm of subgrad 1133.207484	dualbound = 3530149.200673, lowerbound=1282933.200673, norm of subgrad 35.824075	 stepsize= 1.000000 
-dualbound = 3530244.041522, lowerbound=1282390.041522, norm of subgrad 1132.931172	dualbound = 3530244.041522, lowerbound=1282390.041522, norm of subgrad 35.182962	 stepsize= 1.000000 
-dualbound = 3530306.928370, lowerbound=1285711.928370, norm of subgrad 1134.425374	dualbound = 3530306.928370, lowerbound=1285711.928370, norm of subgrad 35.663523	 stepsize= 1.000000 
-dualbound = 3530362.065202, lowerbound=1285739.065202, norm of subgrad 1134.459812	dualbound = 3530362.065202, lowerbound=1285739.065202, norm of subgrad 36.264815	 stepsize= 1.000000 
-dualbound = 3530439.522308, lowerbound=1283943.522308, norm of subgrad 1133.644354	dualbound = 3530439.522308, lowerbound=1283943.522308, norm of subgrad 35.825370	 stepsize= 1.000000 
-dualbound = 3530529.703599, lowerbound=1286035.703599, norm of subgrad 1134.567628	dualbound = 3530529.703599, lowerbound=1286035.703599, norm of subgrad 36.030283	 stepsize= 1.000000 
-dualbound = 3530585.830537, lowerbound=1281518.830537, norm of subgrad 1132.566480	dualbound = 3530585.830537, lowerbound=1281518.830537, norm of subgrad 35.272184	 stepsize= 1.000000 
-dualbound = 3530659.983949, lowerbound=1284679.983949, norm of subgrad 1133.951491	dualbound = 3530659.983949, lowerbound=1284679.983949, norm of subgrad 35.215812	 stepsize= 1.000000 
-dualbound = 3530741.649999, lowerbound=1277356.649999, norm of subgrad 1130.741195	dualbound = 3530741.649999, lowerbound=1277356.649999, norm of subgrad 36.064748	 stepsize= 1.000000 
-dualbound = 3530776.109062, lowerbound=1288490.109062, norm of subgrad 1135.663290	dualbound = 3530776.109062, lowerbound=1288490.109062, norm of subgrad 35.713570	 stepsize= 1.000000 
-dualbound = 3530878.880101, lowerbound=1281079.880101, norm of subgrad 1132.369145	dualbound = 3530878.880101, lowerbound=1281079.880101, norm of subgrad 35.815793	 stepsize= 1.000000 
-dualbound = 3530963.164294, lowerbound=1279894.164294, norm of subgrad 1131.840609	dualbound = 3530963.164294, lowerbound=1279894.164294, norm of subgrad 35.401754	 stepsize= 1.000000 
-dualbound = 3531019.165215, lowerbound=1281412.165215, norm of subgrad 1132.555590	dualbound = 3531019.165215, lowerbound=1281412.165215, norm of subgrad 36.414296	 stepsize= 1.000000 
-dualbound = 3531076.917962, lowerbound=1286466.917962, norm of subgrad 1134.758528	dualbound = 3531076.917962, lowerbound=1286466.917962, norm of subgrad 35.605516	 stepsize= 1.000000 
-dualbound = 3531146.939700, lowerbound=1286302.939700, norm of subgrad 1134.704781	dualbound = 3531146.939700, lowerbound=1286302.939700, norm of subgrad 36.359617	 stepsize= 1.000000 
-dualbound = 3531213.997307, lowerbound=1282218.997307, norm of subgrad 1132.887901	dualbound = 3531213.997307, lowerbound=1282218.997307, norm of subgrad 35.819794	 stepsize= 1.000000 
-dualbound = 3531304.934176, lowerbound=1287986.934176, norm of subgrad 1135.408268	dualbound = 3531304.934176, lowerbound=1287986.934176, norm of subgrad 35.439200	 stepsize= 1.000000 
-dualbound = 3531379.538323, lowerbound=1283345.538323, norm of subgrad 1133.377492	dualbound = 3531379.538323, lowerbound=1283345.538323, norm of subgrad 35.687591	 stepsize= 1.000000 
-dualbound = 3531442.527850, lowerbound=1284036.527850, norm of subgrad 1133.692872	dualbound = 3531442.527850, lowerbound=1284036.527850, norm of subgrad 35.860696	 stepsize= 1.000000 
-dualbound = 3531522.713530, lowerbound=1281225.713530, norm of subgrad 1132.426030	dualbound = 3531522.713530, lowerbound=1281225.713530, norm of subgrad 35.258838	 stepsize= 1.000000 
-dualbound = 3531584.365785, lowerbound=1282629.365785, norm of subgrad 1133.038554	dualbound = 3531584.365785, lowerbound=1282629.365785, norm of subgrad 34.765676	 stepsize= 1.000000 
-dualbound = 3531676.877014, lowerbound=1283155.877014, norm of subgrad 1133.251904	dualbound = 3531676.877014, lowerbound=1283155.877014, norm of subgrad 34.590623	 stepsize= 1.000000 
-dualbound = 3531747.092962, lowerbound=1288568.092962, norm of subgrad 1135.677812	dualbound = 3531747.092962, lowerbound=1288568.092962, norm of subgrad 35.583928	 stepsize= 1.000000 
-dualbound = 3531784.177222, lowerbound=1287420.177222, norm of subgrad 1135.161741	dualbound = 3531784.177222, lowerbound=1287420.177222, norm of subgrad 34.771889	 stepsize= 1.000000 
-dualbound = 3531878.308949, lowerbound=1284001.308949, norm of subgrad 1133.681308	dualbound = 3531878.308949, lowerbound=1284001.308949, norm of subgrad 36.416092	 stepsize= 1.000000 
-dualbound = 3531907.040758, lowerbound=1280455.040758, norm of subgrad 1132.124128	dualbound = 3531907.040758, lowerbound=1280455.040758, norm of subgrad 35.759360	 stepsize= 1.000000 
-dualbound = 3531998.724581, lowerbound=1285218.724581, norm of subgrad 1134.197833	dualbound = 3531998.724581, lowerbound=1285218.724581, norm of subgrad 35.744703	 stepsize= 1.000000 
-dualbound = 3532079.023738, lowerbound=1281836.023738, norm of subgrad 1132.707387	dualbound = 3532079.023738, lowerbound=1281836.023738, norm of subgrad 35.641256	 stepsize= 1.000000 
-dualbound = 3532136.784523, lowerbound=1288121.784523, norm of subgrad 1135.494071	dualbound = 3532136.784523, lowerbound=1288121.784523, norm of subgrad 35.815650	 stepsize= 1.000000 
-dualbound = 3532223.258471, lowerbound=1281500.258471, norm of subgrad 1132.555632	dualbound = 3532223.258471, lowerbound=1281500.258471, norm of subgrad 35.615642	 stepsize= 1.000000 
-dualbound = 3532278.777397, lowerbound=1285763.777397, norm of subgrad 1134.443378	dualbound = 3532278.777397, lowerbound=1285763.777397, norm of subgrad 35.405069	 stepsize= 1.000000 
-dualbound = 3532357.072735, lowerbound=1285167.072735, norm of subgrad 1134.171095	dualbound = 3532357.072735, lowerbound=1285167.072735, norm of subgrad 35.430147	 stepsize= 1.000000 
-dualbound = 3532427.157277, lowerbound=1280021.157277, norm of subgrad 1131.885664	dualbound = 3532427.157277, lowerbound=1280021.157277, norm of subgrad 34.843716	 stepsize= 1.000000 
-dualbound = 3532522.689243, lowerbound=1283189.689243, norm of subgrad 1133.297264	dualbound = 3532522.689243, lowerbound=1283189.689243, norm of subgrad 35.616456	 stepsize= 1.000000 
-dualbound = 3532591.221210, lowerbound=1285010.221210, norm of subgrad 1134.110321	dualbound = 3532591.221210, lowerbound=1285010.221210, norm of subgrad 35.560258	 stepsize= 1.000000 
-dualbound = 3532638.862290, lowerbound=1279241.862290, norm of subgrad 1131.586878	dualbound = 3532638.862290, lowerbound=1279241.862290, norm of subgrad 35.981121	 stepsize= 1.000000 
-dualbound = 3532712.386624, lowerbound=1286710.386624, norm of subgrad 1134.855668	dualbound = 3532712.386624, lowerbound=1286710.386624, norm of subgrad 35.503864	 stepsize= 1.000000 
-dualbound = 3532796.896738, lowerbound=1283487.896738, norm of subgrad 1133.422206	dualbound = 3532796.896738, lowerbound=1283487.896738, norm of subgrad 35.249257	 stepsize= 1.000000 
-dualbound = 3532852.427777, lowerbound=1287889.427777, norm of subgrad 1135.367530	dualbound = 3532852.427777, lowerbound=1287889.427777, norm of subgrad 35.007585	 stepsize= 1.000000 
-dualbound = 3532936.704832, lowerbound=1281420.704832, norm of subgrad 1132.531105	dualbound = 3532936.704832, lowerbound=1281420.704832, norm of subgrad 35.920427	 stepsize= 1.000000 
-dualbound = 3532989.450277, lowerbound=1285720.450277, norm of subgrad 1134.423400	dualbound = 3532989.450277, lowerbound=1285720.450277, norm of subgrad 35.337593	 stepsize= 1.000000 
-dualbound = 3533063.359305, lowerbound=1287764.359305, norm of subgrad 1135.330507	dualbound = 3533063.359305, lowerbound=1287764.359305, norm of subgrad 35.845628	 stepsize= 1.000000 
-dualbound = 3533115.394189, lowerbound=1283626.394189, norm of subgrad 1133.533588	dualbound = 3533115.394189, lowerbound=1283626.394189, norm of subgrad 36.387290	 stepsize= 1.000000 
-dualbound = 3533170.470577, lowerbound=1286478.470577, norm of subgrad 1134.764500	dualbound = 3533170.470577, lowerbound=1286478.470577, norm of subgrad 35.596016	 stepsize= 1.000000 
-dualbound = 3533261.627859, lowerbound=1280491.627859, norm of subgrad 1132.116879	dualbound = 3533261.627859, lowerbound=1280491.627859, norm of subgrad 35.890908	 stepsize= 1.000000 
-dualbound = 3533359.551727, lowerbound=1285307.551727, norm of subgrad 1134.226852	dualbound = 3533359.551727, lowerbound=1285307.551727, norm of subgrad 35.509490	 stepsize= 1.000000 
-dualbound = 3533413.880954, lowerbound=1288530.880954, norm of subgrad 1135.665832	dualbound = 3533413.880954, lowerbound=1288530.880954, norm of subgrad 35.501116	 stepsize= 1.000000 
-dualbound = 3533467.092883, lowerbound=1283983.092883, norm of subgrad 1133.673274	dualbound = 3533467.092883, lowerbound=1283983.092883, norm of subgrad 35.849853	 stepsize= 1.000000 
-dualbound = 3533556.982959, lowerbound=1281672.982959, norm of subgrad 1132.635856	dualbound = 3533556.982959, lowerbound=1281672.982959, norm of subgrad 35.789525	 stepsize= 1.000000 
-dualbound = 3533624.869139, lowerbound=1285789.869139, norm of subgrad 1134.445622	dualbound = 3533624.869139, lowerbound=1285789.869139, norm of subgrad 35.282945	 stepsize= 1.000000 
-dualbound = 3533685.291092, lowerbound=1280514.291092, norm of subgrad 1132.144996	dualbound = 3533685.291092, lowerbound=1280514.291092, norm of subgrad 36.033623	 stepsize= 1.000000 
-dualbound = 3533751.233856, lowerbound=1279764.233856, norm of subgrad 1131.769514	dualbound = 3533751.233856, lowerbound=1279764.233856, norm of subgrad 34.697878	 stepsize= 1.000000 
-dualbound = 3533848.480857, lowerbound=1288629.480857, norm of subgrad 1135.681945	dualbound = 3533848.480857, lowerbound=1288629.480857, norm of subgrad 35.231336	 stepsize= 1.000000 
-dualbound = 3533899.597706, lowerbound=1280602.597706, norm of subgrad 1132.134532	dualbound = 3533899.597706, lowerbound=1280602.597706, norm of subgrad 34.309137	 stepsize= 1.000000 
-dualbound = 3533971.721415, lowerbound=1285826.721415, norm of subgrad 1134.467594	dualbound = 3533971.721415, lowerbound=1285826.721415, norm of subgrad 35.526380	 stepsize= 1.000000 
-dualbound = 3534036.996077, lowerbound=1282033.996077, norm of subgrad 1132.808455	dualbound = 3534036.996077, lowerbound=1282033.996077, norm of subgrad 35.864671	 stepsize= 1.000000 
-dualbound = 3534101.943563, lowerbound=1285453.943563, norm of subgrad 1134.294029	dualbound = 3534101.943563, lowerbound=1285453.943563, norm of subgrad 35.127589	 stepsize= 1.000000 
-dualbound = 3534187.490453, lowerbound=1283197.490453, norm of subgrad 1133.293206	dualbound = 3534187.490453, lowerbound=1283197.490453, norm of subgrad 35.235591	 stepsize= 1.000000 
-dualbound = 3534234.251951, lowerbound=1285597.251951, norm of subgrad 1134.375269	dualbound = 3534234.251951, lowerbound=1285597.251951, norm of subgrad 35.450832	 stepsize= 1.000000 
-dualbound = 3534328.369546, lowerbound=1286845.369546, norm of subgrad 1134.912935	dualbound = 3534328.369546, lowerbound=1286845.369546, norm of subgrad 35.722788	 stepsize= 1.000000 
-dualbound = 3534387.431035, lowerbound=1284882.431035, norm of subgrad 1134.042517	dualbound = 3534387.431035, lowerbound=1284882.431035, norm of subgrad 35.057973	 stepsize= 1.000000 
-dualbound = 3534472.257243, lowerbound=1282845.257243, norm of subgrad 1133.144411	dualbound = 3534472.257243, lowerbound=1282845.257243, norm of subgrad 35.437638	 stepsize= 1.000000 
-dualbound = 3534525.547393, lowerbound=1283542.547393, norm of subgrad 1133.458225	dualbound = 3534525.547393, lowerbound=1283542.547393, norm of subgrad 35.189347	 stepsize= 1.000000 
-dualbound = 3534576.031005, lowerbound=1288756.031005, norm of subgrad 1135.787406	dualbound = 3534576.031005, lowerbound=1288756.031005, norm of subgrad 36.159143	 stepsize= 1.000000 
-dualbound = 3534668.682185, lowerbound=1281858.682185, norm of subgrad 1132.753143	dualbound = 3534668.682185, lowerbound=1281858.682185, norm of subgrad 36.927648	 stepsize= 1.000000 
-dualbound = 3534718.218721, lowerbound=1282614.218721, norm of subgrad 1133.060113	dualbound = 3534718.218721, lowerbound=1282614.218721, norm of subgrad 35.504035	 stepsize= 1.000000 
-dualbound = 3534832.191446, lowerbound=1283372.191446, norm of subgrad 1133.368956	dualbound = 3534832.191446, lowerbound=1283372.191446, norm of subgrad 35.594560	 stepsize= 1.000000 
-dualbound = 3534872.596802, lowerbound=1284462.596802, norm of subgrad 1133.899289	dualbound = 3534872.596802, lowerbound=1284462.596802, norm of subgrad 36.130394	 stepsize= 1.000000 
-dualbound = 3534929.871243, lowerbound=1284422.871243, norm of subgrad 1133.861928	dualbound = 3534929.871243, lowerbound=1284422.871243, norm of subgrad 35.738976	 stepsize= 1.000000 
-dualbound = 3535006.593126, lowerbound=1286803.593126, norm of subgrad 1134.938586	dualbound = 3535006.593126, lowerbound=1286803.593126, norm of subgrad 36.860845	 stepsize= 1.000000 
-dualbound = 3535081.865630, lowerbound=1284491.865630, norm of subgrad 1133.922778	dualbound = 3535081.865630, lowerbound=1284491.865630, norm of subgrad 36.936060	 stepsize= 1.000000 
-dualbound = 3535143.537263, lowerbound=1290664.537263, norm of subgrad 1136.630343	dualbound = 3535143.537263, lowerbound=1290664.537263, norm of subgrad 36.409774	 stepsize= 1.000000 
-dualbound = 3535226.518555, lowerbound=1281765.518555, norm of subgrad 1132.689065	dualbound = 3535226.518555, lowerbound=1281765.518555, norm of subgrad 36.082978	 stepsize= 1.000000 
-dualbound = 3535300.763176, lowerbound=1281943.763176, norm of subgrad 1132.758475	dualbound = 3535300.763176, lowerbound=1281943.763176, norm of subgrad 35.668538	 stepsize= 1.000000 
-dualbound = 3535363.781961, lowerbound=1278555.781961, norm of subgrad 1131.224903	dualbound = 3535363.781961, lowerbound=1278555.781961, norm of subgrad 34.307707	 stepsize= 1.000000 
-dualbound = 3535450.522658, lowerbound=1285614.522658, norm of subgrad 1134.354672	dualbound = 3535450.522658, lowerbound=1285614.522658, norm of subgrad 35.110407	 stepsize= 1.000000 
-dualbound = 3535535.144501, lowerbound=1283672.144501, norm of subgrad 1133.488926	dualbound = 3535535.144501, lowerbound=1283672.144501, norm of subgrad 34.779618	 stepsize= 1.000000 
-dualbound = 3535590.621074, lowerbound=1289260.621074, norm of subgrad 1135.978266	dualbound = 3535590.621074, lowerbound=1289260.621074, norm of subgrad 35.234593	 stepsize= 1.000000 
-dualbound = 3535641.098838, lowerbound=1286059.098838, norm of subgrad 1134.563836	dualbound = 3535641.098838, lowerbound=1286059.098838, norm of subgrad 35.021105	 stepsize= 1.000000 
-dualbound = 3535693.832427, lowerbound=1278384.832427, norm of subgrad 1131.208572	dualbound = 3535693.832427, lowerbound=1278384.832427, norm of subgrad 36.065684	 stepsize= 1.000000 
-dualbound = 3535770.527694, lowerbound=1282025.527694, norm of subgrad 1132.803393	dualbound = 3535770.527694, lowerbound=1282025.527694, norm of subgrad 35.981874	 stepsize= 1.000000 
-dualbound = 3535845.316062, lowerbound=1286783.316062, norm of subgrad 1134.911590	dualbound = 3535845.316062, lowerbound=1286783.316062, norm of subgrad 36.273797	 stepsize= 1.000000 
-dualbound = 3535930.463397, lowerbound=1286649.463397, norm of subgrad 1134.833672	dualbound = 3535930.463397, lowerbound=1286649.463397, norm of subgrad 35.821046	 stepsize= 1.000000 
-dualbound = 3536010.413608, lowerbound=1287131.413608, norm of subgrad 1135.062736	dualbound = 3536010.413608, lowerbound=1287131.413608, norm of subgrad 36.276028	 stepsize= 1.000000 
-dualbound = 3536075.249265, lowerbound=1284105.249265, norm of subgrad 1133.698041	dualbound = 3536075.249265, lowerbound=1284105.249265, norm of subgrad 35.083267	 stepsize= 1.000000 
-dualbound = 3536157.416367, lowerbound=1285181.416367, norm of subgrad 1134.157139	dualbound = 3536157.416367, lowerbound=1285181.416367, norm of subgrad 34.830548	 stepsize= 1.000000 
-dualbound = 3536212.429286, lowerbound=1281978.429286, norm of subgrad 1132.768480	dualbound = 3536212.429286, lowerbound=1281978.429286, norm of subgrad 35.228013	 stepsize= 1.000000 
-dualbound = 3536302.573812, lowerbound=1288092.573812, norm of subgrad 1135.431889	dualbound = 3536302.573812, lowerbound=1288092.573812, norm of subgrad 34.686374	 stepsize= 1.000000 
-dualbound = 3536377.448086, lowerbound=1283796.448086, norm of subgrad 1133.561400	dualbound = 3536377.448086, lowerbound=1283796.448086, norm of subgrad 35.211848	 stepsize= 1.000000 
-dualbound = 3536437.523208, lowerbound=1286622.523208, norm of subgrad 1134.835901	dualbound = 3536437.523208, lowerbound=1286622.523208, norm of subgrad 35.917616	 stepsize= 1.000000 
-dualbound = 3536489.962655, lowerbound=1284350.962655, norm of subgrad 1133.845652	dualbound = 3536489.962655, lowerbound=1284350.962655, norm of subgrad 36.158532	 stepsize= 1.000000 
-dualbound = 3536552.028748, lowerbound=1287691.028748, norm of subgrad 1135.306139	dualbound = 3536552.028748, lowerbound=1287691.028748, norm of subgrad 35.931408	 stepsize= 1.000000 
-dualbound = 3536626.477921, lowerbound=1278753.477921, norm of subgrad 1131.375039	dualbound = 3536626.477921, lowerbound=1278753.477921, norm of subgrad 36.475323	 stepsize= 1.000000 
-dualbound = 3536685.143287, lowerbound=1291837.143287, norm of subgrad 1137.124507	dualbound = 3536685.143287, lowerbound=1291837.143287, norm of subgrad 35.688449	 stepsize= 1.000000 
-dualbound = 3536762.767276, lowerbound=1281211.767276, norm of subgrad 1132.440183	dualbound = 3536762.767276, lowerbound=1281211.767276, norm of subgrad 35.869541	 stepsize= 1.000000 
-dualbound = 3536842.340857, lowerbound=1288453.340857, norm of subgrad 1135.610559	dualbound = 3536842.340857, lowerbound=1288453.340857, norm of subgrad 35.179164	 stepsize= 1.000000 
-dualbound = 3536880.341624, lowerbound=1278797.341624, norm of subgrad 1131.387795	dualbound = 3536880.341624, lowerbound=1278797.341624, norm of subgrad 35.763120	 stepsize= 1.000000 
-dualbound = 3536965.497953, lowerbound=1289941.497953, norm of subgrad 1136.255912	dualbound = 3536965.497953, lowerbound=1289941.497953, norm of subgrad 34.945047	 stepsize= 1.000000 
-dualbound = 3537046.665630, lowerbound=1279628.665630, norm of subgrad 1131.725968	dualbound = 3537046.665630, lowerbound=1279628.665630, norm of subgrad 35.442456	 stepsize= 1.000000 
-dualbound = 3537112.650419, lowerbound=1293522.650419, norm of subgrad 1137.860558	dualbound = 3537112.650419, lowerbound=1293522.650419, norm of subgrad 35.636846	 stepsize= 1.000000 
-dualbound = 3537180.110300, lowerbound=1283766.110300, norm of subgrad 1133.553312	dualbound = 3537180.110300, lowerbound=1283766.110300, norm of subgrad 35.276903	 stepsize= 1.000000 
-dualbound = 3537223.712312, lowerbound=1284419.712312, norm of subgrad 1133.864944	dualbound = 3537223.712312, lowerbound=1284419.712312, norm of subgrad 35.687561	 stepsize= 1.000000 
-dualbound = 3537324.591835, lowerbound=1282455.591835, norm of subgrad 1132.984815	dualbound = 3537324.591835, lowerbound=1282455.591835, norm of subgrad 36.053842	 stepsize= 1.000000 
-dualbound = 3537384.852830, lowerbound=1287246.852830, norm of subgrad 1135.095966	dualbound = 3537384.852830, lowerbound=1287246.852830, norm of subgrad 35.443772	 stepsize= 1.000000 
-dualbound = 3537456.300637, lowerbound=1286160.300637, norm of subgrad 1134.639723	dualbound = 3537456.300637, lowerbound=1286160.300637, norm of subgrad 36.310437	 stepsize= 1.000000 
-dualbound = 3537497.664416, lowerbound=1289187.664416, norm of subgrad 1135.977405	dualbound = 3537497.664416, lowerbound=1289187.664416, norm of subgrad 36.032815	 stepsize= 1.000000 
-dualbound = 3537603.197975, lowerbound=1283779.197975, norm of subgrad 1133.563936	dualbound = 3537603.197975, lowerbound=1283779.197975, norm of subgrad 35.965728	 stepsize= 1.000000 
-dualbound = 3537660.943599, lowerbound=1286040.943599, norm of subgrad 1134.532478	dualbound = 3537660.943599, lowerbound=1286040.943599, norm of subgrad 34.361979	 stepsize= 1.000000 
-dualbound = 3537762.851220, lowerbound=1278131.851220, norm of subgrad 1131.058730	dualbound = 3537762.851220, lowerbound=1278131.851220, norm of subgrad 35.551478	 stepsize= 1.000000 
-dualbound = 3537790.403047, lowerbound=1282757.403047, norm of subgrad 1133.094613	dualbound = 3537790.403047, lowerbound=1282757.403047, norm of subgrad 34.257143	 stepsize= 1.000000 
-dualbound = 3537904.784783, lowerbound=1283261.784783, norm of subgrad 1133.314072	dualbound = 3537904.784783, lowerbound=1283261.784783, norm of subgrad 35.403132	 stepsize= 1.000000 
-dualbound = 3537951.365480, lowerbound=1284640.365480, norm of subgrad 1133.960037	dualbound = 3537951.365480, lowerbound=1284640.365480, norm of subgrad 35.659230	 stepsize= 1.000000 
-dualbound = 3538033.854756, lowerbound=1283632.854756, norm of subgrad 1133.518793	dualbound = 3538033.854756, lowerbound=1283632.854756, norm of subgrad 36.255886	 stepsize= 1.000000 
-dualbound = 3538088.428366, lowerbound=1284191.428366, norm of subgrad 1133.744428	dualbound = 3538088.428366, lowerbound=1284191.428366, norm of subgrad 35.207579	 stepsize= 1.000000 
-dualbound = 3538204.124820, lowerbound=1283321.124820, norm of subgrad 1133.363633	dualbound = 3538204.124820, lowerbound=1283321.124820, norm of subgrad 36.162086	 stepsize= 1.000000 
-dualbound = 3538238.759532, lowerbound=1290046.759532, norm of subgrad 1136.360752	dualbound = 3538238.759532, lowerbound=1290046.759532, norm of subgrad 36.105882	 stepsize= 1.000000 
-dualbound = 3538298.748530, lowerbound=1284674.748530, norm of subgrad 1133.954915	dualbound = 3538298.748530, lowerbound=1284674.748530, norm of subgrad 35.199276	 stepsize= 1.000000 
-dualbound = 3538402.563701, lowerbound=1287525.563701, norm of subgrad 1135.186577	dualbound = 3538402.563701, lowerbound=1287525.563701, norm of subgrad 35.025921	 stepsize= 1.000000 
-dualbound = 3538431.316753, lowerbound=1286564.316753, norm of subgrad 1134.825677	dualbound = 3538431.316753, lowerbound=1286564.316753, norm of subgrad 35.968779	 stepsize= 1.000000 
-dualbound = 3538519.004173, lowerbound=1287414.004173, norm of subgrad 1135.155057	dualbound = 3538519.004173, lowerbound=1287414.004173, norm of subgrad 35.365059	 stepsize= 1.000000 
-dualbound = 3538598.598561, lowerbound=1277448.598561, norm of subgrad 1130.770798	dualbound = 3538598.598561, lowerbound=1277448.598561, norm of subgrad 35.687454	 stepsize= 1.000000 
-dualbound = 3538656.471131, lowerbound=1288000.471131, norm of subgrad 1135.428761	dualbound = 3538656.471131, lowerbound=1288000.471131, norm of subgrad 35.438292	 stepsize= 1.000000 
-dualbound = 3538715.604003, lowerbound=1282077.604003, norm of subgrad 1132.843592	dualbound = 3538715.604003, lowerbound=1282077.604003, norm of subgrad 36.278546	 stepsize= 1.000000 
-dualbound = 3538778.449405, lowerbound=1287847.449405, norm of subgrad 1135.368420	dualbound = 3538778.449405, lowerbound=1287847.449405, norm of subgrad 35.732974	 stepsize= 1.000000 
-dualbound = 3538867.335881, lowerbound=1282424.335881, norm of subgrad 1132.947632	dualbound = 3538867.335881, lowerbound=1282424.335881, norm of subgrad 35.140952	 stepsize= 1.000000 
-dualbound = 3538948.883746, lowerbound=1288183.883746, norm of subgrad 1135.517012	dualbound = 3538948.883746, lowerbound=1288183.883746, norm of subgrad 36.007608	 stepsize= 1.000000 
-dualbound = 3538983.666339, lowerbound=1287339.666339, norm of subgrad 1135.159754	dualbound = 3538983.666339, lowerbound=1287339.666339, norm of subgrad 35.815954	 stepsize= 1.000000 
-dualbound = 3539086.312911, lowerbound=1284272.312911, norm of subgrad 1133.781422	dualbound = 3539086.312911, lowerbound=1284272.312911, norm of subgrad 35.925570	 stepsize= 1.000000 
-dualbound = 3539147.462759, lowerbound=1282118.462759, norm of subgrad 1132.849709	dualbound = 3539147.462759, lowerbound=1282118.462759, norm of subgrad 35.932574	 stepsize= 1.000000 
-dualbound = 3539208.633788, lowerbound=1285951.633789, norm of subgrad 1134.526612	dualbound = 3539208.633788, lowerbound=1285951.633789, norm of subgrad 35.498888	 stepsize= 1.000000 
-dualbound = 3539281.059331, lowerbound=1287311.059331, norm of subgrad 1135.133058	dualbound = 3539281.059331, lowerbound=1287311.059331, norm of subgrad 35.894645	 stepsize= 1.000000 
-dualbound = 3539366.725358, lowerbound=1286989.725358, norm of subgrad 1134.980936	dualbound = 3539366.725358, lowerbound=1286989.725358, norm of subgrad 35.744455	 stepsize= 1.000000 
-dualbound = 3539442.364866, lowerbound=1285587.364866, norm of subgrad 1134.354162	dualbound = 3539442.364866, lowerbound=1285587.364866, norm of subgrad 35.321941	 stepsize= 1.000000 
-dualbound = 3539520.878675, lowerbound=1286967.878675, norm of subgrad 1134.980563	dualbound = 3539520.878675, lowerbound=1286967.878675, norm of subgrad 35.937638	 stepsize= 1.000000 
-dualbound = 3539547.973872, lowerbound=1279419.973872, norm of subgrad 1131.652320	dualbound = 3539547.973872, lowerbound=1279419.973872, norm of subgrad 35.271734	 stepsize= 1.000000 
-dualbound = 3539625.597740, lowerbound=1287591.597740, norm of subgrad 1135.258824	dualbound = 3539625.597740, lowerbound=1287591.597740, norm of subgrad 36.036424	 stepsize= 1.000000 
-dualbound = 3539706.051039, lowerbound=1283106.051039, norm of subgrad 1133.281982	dualbound = 3539706.051039, lowerbound=1283106.051039, norm of subgrad 36.089518	 stepsize= 1.000000 
-dualbound = 3539793.272129, lowerbound=1282723.272129, norm of subgrad 1133.083965	dualbound = 3539793.272129, lowerbound=1282723.272129, norm of subgrad 35.259340	 stepsize= 1.000000 
-dualbound = 3539859.135732, lowerbound=1282700.135732, norm of subgrad 1133.082140	dualbound = 3539859.135732, lowerbound=1282700.135732, norm of subgrad 35.225894	 stepsize= 1.000000 
-dualbound = 3539883.888675, lowerbound=1279387.888675, norm of subgrad 1131.653166	dualbound = 3539883.888675, lowerbound=1279387.888675, norm of subgrad 35.717684	 stepsize= 1.000000 
-dualbound = 3540001.417448, lowerbound=1284686.417448, norm of subgrad 1133.961383	dualbound = 3540001.417448, lowerbound=1284686.417448, norm of subgrad 36.048977	 stepsize= 1.000000 
-dualbound = 3540059.484904, lowerbound=1288655.484904, norm of subgrad 1135.706161	dualbound = 3540059.484904, lowerbound=1288655.484904, norm of subgrad 35.086571	 stepsize= 1.000000 
-dualbound = 3540114.929886, lowerbound=1282479.929886, norm of subgrad 1133.003941	dualbound = 3540114.929886, lowerbound=1282479.929886, norm of subgrad 35.685361	 stepsize= 1.000000 
-dualbound = 3540214.415658, lowerbound=1283484.415658, norm of subgrad 1133.429052	dualbound = 3540214.415658, lowerbound=1283484.415658, norm of subgrad 35.727941	 stepsize= 1.000000 
-dualbound = 3540278.419102, lowerbound=1283840.419102, norm of subgrad 1133.571973	dualbound = 3540278.419102, lowerbound=1283840.419102, norm of subgrad 34.770727	 stepsize= 1.000000 
-dualbound = 3540356.153525, lowerbound=1286897.153525, norm of subgrad 1134.913280	dualbound = 3540356.153525, lowerbound=1286897.153525, norm of subgrad 34.766858	 stepsize= 1.000000 
-dualbound = 3540401.795322, lowerbound=1284835.795322, norm of subgrad 1134.007405	dualbound = 3540401.795322, lowerbound=1284835.795322, norm of subgrad 34.389559	 stepsize= 1.000000 
-dualbound = 3540493.979353, lowerbound=1282577.979353, norm of subgrad 1133.014113	dualbound = 3540493.979353, lowerbound=1282577.979353, norm of subgrad 35.145185	 stepsize= 1.000000 
-dualbound = 3540548.872795, lowerbound=1285975.872795, norm of subgrad 1134.533328	dualbound = 3540548.872795, lowerbound=1285975.872795, norm of subgrad 35.283048	 stepsize= 1.000000 
-dualbound = 3540613.020996, lowerbound=1285720.020996, norm of subgrad 1134.435111	dualbound = 3540613.020996, lowerbound=1285720.020996, norm of subgrad 35.876848	 stepsize= 1.000000 
-dualbound = 3540666.432629, lowerbound=1280596.432629, norm of subgrad 1132.157424	dualbound = 3540666.432629, lowerbound=1280596.432629, norm of subgrad 35.176862	 stepsize= 1.000000 
-dualbound = 3540787.272204, lowerbound=1286463.272204, norm of subgrad 1134.749872	dualbound = 3540787.272204, lowerbound=1286463.272204, norm of subgrad 36.260717	 stepsize= 1.000000 
-dualbound = 3540825.275668, lowerbound=1285712.275668, norm of subgrad 1134.408337	dualbound = 3540825.275668, lowerbound=1285712.275668, norm of subgrad 34.756344	 stepsize= 1.000000 
-dualbound = 3540935.525591, lowerbound=1289411.525591, norm of subgrad 1136.036762	dualbound = 3540935.525591, lowerbound=1289411.525591, norm of subgrad 35.752621	 stepsize= 1.000000 
-dualbound = 3540990.221295, lowerbound=1282099.221295, norm of subgrad 1132.809879	dualbound = 3540990.221295, lowerbound=1282099.221295, norm of subgrad 34.838136	 stepsize= 1.000000 
-dualbound = 3541035.431653, lowerbound=1283594.431653, norm of subgrad 1133.509785	dualbound = 3541035.431653, lowerbound=1283594.431653, norm of subgrad 35.989031	 stepsize= 1.000000 
-dualbound = 3541105.725755, lowerbound=1286469.725755, norm of subgrad 1134.748309	dualbound = 3541105.725755, lowerbound=1286469.725755, norm of subgrad 35.416015	 stepsize= 1.000000 
-dualbound = 3541175.953365, lowerbound=1279381.953365, norm of subgrad 1131.632870	dualbound = 3541175.953365, lowerbound=1279381.953365, norm of subgrad 35.794240	 stepsize= 1.000000 
-dualbound = 3541261.702414, lowerbound=1289520.702414, norm of subgrad 1136.098896	dualbound = 3541261.702414, lowerbound=1289520.702414, norm of subgrad 35.857343	 stepsize= 1.000000 
-dualbound = 3541307.151368, lowerbound=1285727.151368, norm of subgrad 1134.448391	dualbound = 3541307.151368, lowerbound=1285727.151368, norm of subgrad 35.936735	 stepsize= 1.000000 
-dualbound = 3541386.669702, lowerbound=1284951.669702, norm of subgrad 1134.087153	dualbound = 3541386.669702, lowerbound=1284951.669702, norm of subgrad 35.798301	 stepsize= 1.000000 
-dualbound = 3541471.730963, lowerbound=1280535.730963, norm of subgrad 1132.166388	dualbound = 3541471.730963, lowerbound=1280535.730963, norm of subgrad 36.743180	 stepsize= 1.000000 
-dualbound = 3541510.758775, lowerbound=1285774.758775, norm of subgrad 1134.474662	dualbound = 3541510.758775, lowerbound=1285774.758775, norm of subgrad 36.014272	 stepsize= 1.000000 
-dualbound = 3541580.124558, lowerbound=1290572.124558, norm of subgrad 1136.598049	dualbound = 3541580.124558, lowerbound=1290572.124558, norm of subgrad 36.774526	 stepsize= 1.000000 
-dualbound = 3541647.606216, lowerbound=1279601.606216, norm of subgrad 1131.742288	dualbound = 3541647.606216, lowerbound=1279601.606216, norm of subgrad 36.145285	 stepsize= 1.000000 
-dualbound = 3541752.567625, lowerbound=1286588.567625, norm of subgrad 1134.795386	dualbound = 3541752.567625, lowerbound=1286588.567625, norm of subgrad 35.734597	 stepsize= 1.000000 
-dualbound = 3541815.906886, lowerbound=1282480.906886, norm of subgrad 1133.000400	dualbound = 3541815.906886, lowerbound=1282480.906886, norm of subgrad 35.669865	 stepsize= 1.000000 
-dualbound = 3541866.210644, lowerbound=1282905.210644, norm of subgrad 1133.169542	dualbound = 3541866.210644, lowerbound=1282905.210644, norm of subgrad 34.904208	 stepsize= 1.000000 
-dualbound = 3541980.271610, lowerbound=1282648.271610, norm of subgrad 1133.054841	dualbound = 3541980.271610, lowerbound=1282648.271610, norm of subgrad 35.763962	 stepsize= 1.000000 
-dualbound = 3542031.988933, lowerbound=1290543.988933, norm of subgrad 1136.520562	dualbound = 3542031.988933, lowerbound=1290543.988933, norm of subgrad 34.448764	 stepsize= 1.000000 
-dualbound = 3542102.783992, lowerbound=1282785.783992, norm of subgrad 1133.106255	dualbound = 3542102.783992, lowerbound=1282785.783992, norm of subgrad 34.853910	 stepsize= 1.000000 
-dualbound = 3542171.877324, lowerbound=1283491.877324, norm of subgrad 1133.423962	dualbound = 3542171.877324, lowerbound=1283491.877324, norm of subgrad 35.029892	 stepsize= 1.000000 
-dualbound = 3542229.029655, lowerbound=1286225.029655, norm of subgrad 1134.636519	dualbound = 3542229.029655, lowerbound=1286225.029655, norm of subgrad 35.102027	 stepsize= 1.000000 
-dualbound = 3542291.863674, lowerbound=1282419.863674, norm of subgrad 1132.973020	dualbound = 3542291.863674, lowerbound=1282419.863674, norm of subgrad 35.648759	 stepsize= 1.000000 
-dualbound = 3542371.153335, lowerbound=1284730.153335, norm of subgrad 1133.955975	dualbound = 3542371.153335, lowerbound=1284730.153335, norm of subgrad 34.717282	 stepsize= 1.000000 
-dualbound = 3542447.696106, lowerbound=1291338.696106, norm of subgrad 1136.878488	dualbound = 3542447.696106, lowerbound=1291338.696106, norm of subgrad 35.079093	 stepsize= 1.000000 
-dualbound = 3542523.517982, lowerbound=1286415.517982, norm of subgrad 1134.702832	dualbound = 3542523.517982, lowerbound=1286415.517982, norm of subgrad 34.796866	 stepsize= 1.000000 
-dualbound = 3542578.042220, lowerbound=1285150.042220, norm of subgrad 1134.192683	dualbound = 3542578.042220, lowerbound=1285150.042220, norm of subgrad 36.021164	 stepsize= 1.000000 
-dualbound = 3542640.832183, lowerbound=1283802.832183, norm of subgrad 1133.577008	dualbound = 3542640.832183, lowerbound=1283802.832183, norm of subgrad 35.451234	 stepsize= 1.000000 
-dualbound = 3542711.580452, lowerbound=1291285.580452, norm of subgrad 1136.882395	dualbound = 3542711.580452, lowerbound=1291285.580452, norm of subgrad 35.871274	 stepsize= 1.000000 
-dualbound = 3542787.315331, lowerbound=1286405.315331, norm of subgrad 1134.714200	dualbound = 3542787.315331, lowerbound=1286405.315331, norm of subgrad 35.309133	 stepsize= 1.000000 
-dualbound = 3542884.469657, lowerbound=1283564.469657, norm of subgrad 1133.450250	dualbound = 3542884.469657, lowerbound=1283564.469657, norm of subgrad 35.244210	 stepsize= 1.000000 
-dualbound = 3542933.799903, lowerbound=1284884.799903, norm of subgrad 1134.056789	dualbound = 3542933.799903, lowerbound=1284884.799903, norm of subgrad 35.345866	 stepsize= 1.000000 
-dualbound = 3542997.313656, lowerbound=1282661.313656, norm of subgrad 1133.064126	dualbound = 3542997.313656, lowerbound=1282661.313656, norm of subgrad 35.164098	 stepsize= 1.000000 
-dualbound = 3543083.748979, lowerbound=1282861.748979, norm of subgrad 1133.141540	dualbound = 3543083.748979, lowerbound=1282861.748979, norm of subgrad 35.134532	 stepsize= 1.000000 
-dualbound = 3543146.033836, lowerbound=1280747.033836, norm of subgrad 1132.189045	dualbound = 3543146.033836, lowerbound=1280747.033836, norm of subgrad 34.165551	 stepsize= 1.000000 
-dualbound = 3543245.761553, lowerbound=1290273.761553, norm of subgrad 1136.410472	dualbound = 3543245.761553, lowerbound=1290273.761553, norm of subgrad 35.422136	 stepsize= 1.000000 
-dualbound = 3543272.596384, lowerbound=1292192.596384, norm of subgrad 1137.267161	dualbound = 3543272.596384, lowerbound=1292192.596384, norm of subgrad 34.797052	 stepsize= 1.000000 
-dualbound = 3543375.666306, lowerbound=1282132.666306, norm of subgrad 1132.798599	dualbound = 3543375.666306, lowerbound=1282132.666306, norm of subgrad 34.685298	 stepsize= 1.000000 
-dualbound = 3543425.876406, lowerbound=1285997.876406, norm of subgrad 1134.525397	dualbound = 3543425.876406, lowerbound=1285997.876406, norm of subgrad 34.644049	 stepsize= 1.000000 
-dualbound = 3543488.248985, lowerbound=1283076.248985, norm of subgrad 1133.241479	dualbound = 3543488.248985, lowerbound=1283076.248985, norm of subgrad 34.962445	 stepsize= 1.000000 
-dualbound = 3543556.198665, lowerbound=1285852.198665, norm of subgrad 1134.516725	dualbound = 3543556.198665, lowerbound=1285852.198665, norm of subgrad 36.659919	 stepsize= 1.000000 
-dualbound = 3543620.196689, lowerbound=1280659.196689, norm of subgrad 1132.216056	dualbound = 3543620.196689, lowerbound=1280659.196689, norm of subgrad 36.304243	 stepsize= 1.000000 
-dualbound = 3543672.031299, lowerbound=1283072.031299, norm of subgrad 1133.264767	dualbound = 3543672.031299, lowerbound=1283072.031299, norm of subgrad 35.620705	 stepsize= 1.000000 
-dualbound = 3543776.549780, lowerbound=1285516.549780, norm of subgrad 1134.330000	dualbound = 3543776.549780, lowerbound=1285516.549780, norm of subgrad 35.951613	 stepsize= 1.000000 
-dualbound = 3543835.351765, lowerbound=1288745.351765, norm of subgrad 1135.761573	dualbound = 3543835.351765, lowerbound=1288745.351765, norm of subgrad 35.606207	 stepsize= 1.000000 
-dualbound = 3543900.635549, lowerbound=1284891.635549, norm of subgrad 1134.059362	dualbound = 3543900.635549, lowerbound=1284891.635549, norm of subgrad 35.556768	 stepsize= 1.000000 
-dualbound = 3543963.491564, lowerbound=1286279.491564, norm of subgrad 1134.671975	dualbound = 3543963.491564, lowerbound=1286279.491564, norm of subgrad 35.550753	 stepsize= 1.000000 
-dualbound = 3544059.903331, lowerbound=1282689.903331, norm of subgrad 1133.091745	dualbound = 3544059.903331, lowerbound=1282689.903331, norm of subgrad 36.102794	 stepsize= 1.000000 
-dualbound = 3544110.373855, lowerbound=1282231.373855, norm of subgrad 1132.864235	dualbound = 3544110.373855, lowerbound=1282231.373855, norm of subgrad 34.647807	 stepsize= 1.000000 
-dualbound = 3544213.952513, lowerbound=1281402.952513, norm of subgrad 1132.527683	dualbound = 3544213.952513, lowerbound=1281402.952513, norm of subgrad 36.326005	 stepsize= 1.000000 
-dualbound = 3544242.014829, lowerbound=1287693.014829, norm of subgrad 1135.278827	dualbound = 3544242.014829, lowerbound=1287693.014829, norm of subgrad 34.540734	 stepsize= 1.000000 
-dualbound = 3544342.273680, lowerbound=1282978.273680, norm of subgrad 1133.230018	dualbound = 3544342.273680, lowerbound=1282978.273680, norm of subgrad 36.500121	 stepsize= 1.000000 
-dualbound = 3544377.824307, lowerbound=1293628.824307, norm of subgrad 1137.912925	dualbound = 3544377.824307, lowerbound=1293628.824307, norm of subgrad 35.391392	 stepsize= 1.000000 
-dualbound = 3544453.747509, lowerbound=1284558.747509, norm of subgrad 1133.942127	dualbound = 3544453.747509, lowerbound=1284558.747509, norm of subgrad 36.632270	 stepsize= 1.000000 
-dualbound = 3544517.128333, lowerbound=1283143.128333, norm of subgrad 1133.268780	dualbound = 3544517.128333, lowerbound=1283143.128333, norm of subgrad 34.905312	 stepsize= 1.000000 
-dualbound = 3544607.948501, lowerbound=1282861.948501, norm of subgrad 1133.169426	dualbound = 3544607.948501, lowerbound=1282861.948501, norm of subgrad 36.080745	 stepsize= 1.000000 
-dualbound = 3544673.427721, lowerbound=1279890.427721, norm of subgrad 1131.853095	dualbound = 3544673.427721, lowerbound=1279890.427721, norm of subgrad 35.587627	 stepsize= 1.000000 
-dualbound = 3544759.961338, lowerbound=1283736.961338, norm of subgrad 1133.554569	dualbound = 3544759.961338, lowerbound=1283736.961338, norm of subgrad 35.993522	 stepsize= 1.000000 
-dualbound = 3544818.535583, lowerbound=1286607.535583, norm of subgrad 1134.831942	dualbound = 3544818.535583, lowerbound=1286607.535583, norm of subgrad 35.980192	 stepsize= 1.000000 
-dualbound = 3544902.851472, lowerbound=1284500.851472, norm of subgrad 1133.892346	dualbound = 3544902.851472, lowerbound=1284500.851472, norm of subgrad 35.990497	 stepsize= 1.000000 
-dualbound = 3544937.123112, lowerbound=1286395.123112, norm of subgrad 1134.760822	dualbound = 3544937.123112, lowerbound=1286395.123112, norm of subgrad 36.349300	 stepsize= 1.000000 
-dualbound = 3545005.344542, lowerbound=1284189.344542, norm of subgrad 1133.781436	dualbound = 3545005.344542, lowerbound=1284189.344542, norm of subgrad 36.595374	 stepsize= 1.000000 
-dualbound = 3545088.022632, lowerbound=1288747.022632, norm of subgrad 1135.734574	dualbound = 3545088.022632, lowerbound=1288747.022632, norm of subgrad 35.052505	 stepsize= 1.000000 
-dualbound = 3545195.610590, lowerbound=1284651.610590, norm of subgrad 1133.930161	dualbound = 3545195.610590, lowerbound=1284651.610590, norm of subgrad 35.406044	 stepsize= 1.000000 
-dualbound = 3545261.995378, lowerbound=1288006.995378, norm of subgrad 1135.403450	dualbound = 3545261.995378, lowerbound=1288006.995378, norm of subgrad 34.646570	 stepsize= 1.000000 
-dualbound = 3545329.376835, lowerbound=1281462.376835, norm of subgrad 1132.530078	dualbound = 3545329.376835, lowerbound=1281462.376835, norm of subgrad 35.062536	 stepsize= 1.000000 
-dualbound = 3545386.961168, lowerbound=1291719.961168, norm of subgrad 1137.060667	dualbound = 3545386.961168, lowerbound=1291719.961168, norm of subgrad 35.278667	 stepsize= 1.000000 
-dualbound = 3545452.362540, lowerbound=1277905.362540, norm of subgrad 1130.986898	dualbound = 3545452.362540, lowerbound=1277905.362540, norm of subgrad 35.936073	 stepsize= 1.000000 
-dualbound = 3545522.851751, lowerbound=1291534.851751, norm of subgrad 1136.963435	dualbound = 3545522.851751, lowerbound=1291534.851751, norm of subgrad 34.949810	 stepsize= 1.000000 
-dualbound = 3545601.439789, lowerbound=1277146.439789, norm of subgrad 1130.636299	dualbound = 3545601.439789, lowerbound=1277146.439789, norm of subgrad 35.645309	 stepsize= 1.000000 
-dualbound = 3545633.032460, lowerbound=1287569.032460, norm of subgrad 1135.262539	dualbound = 3545633.032460, lowerbound=1287569.032460, norm of subgrad 35.827262	 stepsize= 1.000000 
-dualbound = 3545721.553672, lowerbound=1286118.553672, norm of subgrad 1134.593123	dualbound = 3545721.553672, lowerbound=1286118.553672, norm of subgrad 35.658396	 stepsize= 1.000000 
-dualbound = 3545793.804415, lowerbound=1282589.804415, norm of subgrad 1133.044926	dualbound = 3545793.804415, lowerbound=1282589.804415, norm of subgrad 35.682639	 stepsize= 1.000000 
-dualbound = 3545855.914336, lowerbound=1288662.914336, norm of subgrad 1135.734967	dualbound = 3545855.914336, lowerbound=1288662.914336, norm of subgrad 35.959838	 stepsize= 1.000000 
-dualbound = 3545920.129906, lowerbound=1287665.129906, norm of subgrad 1135.292090	dualbound = 3545920.129906, lowerbound=1287665.129906, norm of subgrad 35.877787	 stepsize= 1.000000 
-dualbound = 3545999.239881, lowerbound=1280315.239881, norm of subgrad 1132.043833	dualbound = 3545999.239881, lowerbound=1280315.239881, norm of subgrad 35.876315	 stepsize= 1.000000 
-dualbound = 3546057.319780, lowerbound=1285454.319780, norm of subgrad 1134.291550	dualbound = 3546057.319780, lowerbound=1285454.319780, norm of subgrad 34.943954	 stepsize= 1.000000 
-dualbound = 3546154.343763, lowerbound=1285064.343763, norm of subgrad 1134.127569	dualbound = 3546154.343763, lowerbound=1285064.343763, norm of subgrad 35.749461	 stepsize= 1.000000 
-dualbound = 3546185.977379, lowerbound=1285089.977379, norm of subgrad 1134.185601	dualbound = 3546185.977379, lowerbound=1285089.977379, norm of subgrad 36.312995	 stepsize= 1.000000 
-dualbound = 3546287.508399, lowerbound=1289498.508399, norm of subgrad 1136.098371	dualbound = 3546287.508399, lowerbound=1289498.508399, norm of subgrad 36.366620	 stepsize= 1.000000 
-dualbound = 3546332.437281, lowerbound=1289548.437281, norm of subgrad 1136.141029	dualbound = 3546332.437281, lowerbound=1289548.437281, norm of subgrad 36.234361	 stepsize= 1.000000 
-dualbound = 3546424.073232, lowerbound=1282699.073232, norm of subgrad 1133.108588	dualbound = 3546424.073232, lowerbound=1282699.073232, norm of subgrad 36.436739	 stepsize= 1.000000 
-dualbound = 3546483.183654, lowerbound=1287242.183654, norm of subgrad 1135.105803	dualbound = 3546483.183654, lowerbound=1287242.183654, norm of subgrad 35.806570	 stepsize= 1.000000 
-dualbound = 3546578.167706, lowerbound=1282238.167706, norm of subgrad 1132.875619	dualbound = 3546578.167706, lowerbound=1282238.167706, norm of subgrad 35.552553	 stepsize= 1.000000 
-dualbound = 3546646.193133, lowerbound=1283476.193133, norm of subgrad 1133.420572	dualbound = 3546646.193133, lowerbound=1283476.193133, norm of subgrad 35.128698	 stepsize= 1.000000 
-dualbound = 3546717.913124, lowerbound=1285454.913124, norm of subgrad 1134.297101	dualbound = 3546717.913124, lowerbound=1285454.913124, norm of subgrad 35.308922	 stepsize= 1.000000 
-dualbound = 3546790.171980, lowerbound=1283223.171980, norm of subgrad 1133.312919	dualbound = 3546790.171980, lowerbound=1283223.171980, norm of subgrad 35.316552	 stepsize= 1.000000 
-dualbound = 3546852.146118, lowerbound=1285315.146118, norm of subgrad 1134.246951	dualbound = 3546852.146118, lowerbound=1285315.146118, norm of subgrad 35.538347	 stepsize= 1.000000 
-dualbound = 3546917.046300, lowerbound=1286837.046300, norm of subgrad 1134.909708	dualbound = 3546917.046300, lowerbound=1286837.046300, norm of subgrad 35.325631	 stepsize= 1.000000 
-dualbound = 3547007.001024, lowerbound=1282964.001024, norm of subgrad 1133.178274	dualbound = 3547007.001024, lowerbound=1282964.001024, norm of subgrad 34.913532	 stepsize= 1.000000 
-dualbound = 3547056.473767, lowerbound=1287732.473767, norm of subgrad 1135.299288	dualbound = 3547056.473767, lowerbound=1287732.473767, norm of subgrad 34.949574	 stepsize= 1.000000 
-dualbound = 3547127.287049, lowerbound=1284606.287049, norm of subgrad 1133.916349	dualbound = 3547127.287049, lowerbound=1284606.287049, norm of subgrad 35.082949	 stepsize= 1.000000 
-dualbound = 3547197.338107, lowerbound=1289410.338107, norm of subgrad 1136.021716	dualbound = 3547197.338107, lowerbound=1289410.338107, norm of subgrad 34.713845	 stepsize= 1.000000 
-dualbound = 3547278.977482, lowerbound=1287018.977482, norm of subgrad 1134.994263	dualbound = 3547278.977482, lowerbound=1287018.977482, norm of subgrad 35.702092	 stepsize= 1.000000 
-dualbound = 3547339.988857, lowerbound=1287489.988857, norm of subgrad 1135.188085	dualbound = 3547339.988857, lowerbound=1287489.988857, norm of subgrad 34.971580	 stepsize= 1.000000 
-dualbound = 3547424.093757, lowerbound=1287195.093757, norm of subgrad 1135.059071	dualbound = 3547424.093757, lowerbound=1287195.093757, norm of subgrad 35.328528	 stepsize= 1.000000 
-dualbound = 3547474.749573, lowerbound=1284726.749573, norm of subgrad 1133.980930	dualbound = 3547474.749573, lowerbound=1284726.749573, norm of subgrad 35.166117	 stepsize= 1.000000 
-dualbound = 3547533.506508, lowerbound=1281809.506508, norm of subgrad 1132.704951	dualbound = 3547533.506508, lowerbound=1281809.506508, norm of subgrad 35.633649	 stepsize= 1.000000 
-dualbound = 3547616.848499, lowerbound=1283954.848499, norm of subgrad 1133.651555	dualbound = 3547616.848499, lowerbound=1283954.848499, norm of subgrad 35.976965	 stepsize= 1.000000 
-dualbound = 3547669.810854, lowerbound=1285195.810854, norm of subgrad 1134.201839	dualbound = 3547669.810854, lowerbound=1285195.810854, norm of subgrad 35.650559	 stepsize= 1.000000 
-dualbound = 3547772.052197, lowerbound=1285392.052197, norm of subgrad 1134.275563	dualbound = 3547772.052197, lowerbound=1285392.052197, norm of subgrad 35.933847	 stepsize= 1.000000 
-dualbound = 3547830.864914, lowerbound=1287652.864914, norm of subgrad 1135.283605	dualbound = 3547830.864914, lowerbound=1287652.864914, norm of subgrad 35.704520	 stepsize= 1.000000 
-dualbound = 3547878.992529, lowerbound=1282126.992529, norm of subgrad 1132.880838	dualbound = 3547878.992529, lowerbound=1282126.992529, norm of subgrad 36.607753	 stepsize= 1.000000 
-dualbound = 3547961.532987, lowerbound=1286520.532987, norm of subgrad 1134.790964	dualbound = 3547961.532987, lowerbound=1286520.532987, norm of subgrad 36.229000	 stepsize= 1.000000 
-dualbound = 3548024.898301, lowerbound=1283443.898301, norm of subgrad 1133.428383	dualbound = 3548024.898301, lowerbound=1283443.898301, norm of subgrad 35.768217	 stepsize= 1.000000 
-dualbound = 3548085.834978, lowerbound=1288484.834978, norm of subgrad 1135.659207	dualbound = 3548085.834978, lowerbound=1288484.834978, norm of subgrad 36.026888	 stepsize= 1.000000 
-dualbound = 3548156.848799, lowerbound=1284732.848799, norm of subgrad 1134.012279	dualbound = 3548156.848799, lowerbound=1284732.848799, norm of subgrad 36.359508	 stepsize= 1.000000 
-dualbound = 3548250.829442, lowerbound=1285643.829442, norm of subgrad 1134.379491	dualbound = 3548250.829442, lowerbound=1285643.829442, norm of subgrad 35.594672	 stepsize= 1.000000 
-dualbound = 3548288.641796, lowerbound=1281861.641796, norm of subgrad 1132.763718	dualbound = 3548288.641796, lowerbound=1281861.641796, norm of subgrad 36.466592	 stepsize= 1.000000 
-dualbound = 3548366.866783, lowerbound=1283135.866783, norm of subgrad 1133.286754	dualbound = 3548366.866783, lowerbound=1283135.866783, norm of subgrad 35.794203	 stepsize= 1.000000 
-dualbound = 3548450.373058, lowerbound=1286991.373058, norm of subgrad 1134.968446	dualbound = 3548450.373058, lowerbound=1286991.373058, norm of subgrad 35.291731	 stepsize= 1.000000 
-dualbound = 3548546.686546, lowerbound=1285079.686546, norm of subgrad 1134.102591	dualbound = 3548546.686546, lowerbound=1285079.686546, norm of subgrad 34.717625	 stepsize= 1.000000 
-dualbound = 3548601.909414, lowerbound=1283078.909414, norm of subgrad 1133.270007	dualbound = 3548601.909414, lowerbound=1283078.909414, norm of subgrad 35.738255	 stepsize= 1.000000 
-dualbound = 3548631.552583, lowerbound=1286061.552583, norm of subgrad 1134.598851	dualbound = 3548631.552583, lowerbound=1286061.552583, norm of subgrad 35.814008	 stepsize= 1.000000 
-dualbound = 3548723.036057, lowerbound=1286452.036057, norm of subgrad 1134.748887	dualbound = 3548723.036057, lowerbound=1286452.036057, norm of subgrad 35.978931	 stepsize= 1.000000 
-dualbound = 3548816.125105, lowerbound=1286800.125105, norm of subgrad 1134.889477	dualbound = 3548816.125105, lowerbound=1286800.125105, norm of subgrad 35.596194	 stepsize= 1.000000 
-dualbound = 3548875.542502, lowerbound=1287907.542502, norm of subgrad 1135.389599	dualbound = 3548875.542502, lowerbound=1287907.542502, norm of subgrad 35.516438	 stepsize= 1.000000 
-dualbound = 3548946.622799, lowerbound=1286673.622799, norm of subgrad 1134.816559	dualbound = 3548946.622799, lowerbound=1286673.622799, norm of subgrad 34.728667	 stepsize= 1.000000 
-dualbound = 3549030.873078, lowerbound=1283835.873078, norm of subgrad 1133.569968	dualbound = 3549030.873078, lowerbound=1283835.873078, norm of subgrad 35.060666	 stepsize= 1.000000 
-dualbound = 3549074.232769, lowerbound=1284408.232769, norm of subgrad 1133.838275	dualbound = 3549074.232769, lowerbound=1284408.232769, norm of subgrad 34.990852	 stepsize= 1.000000 
-dualbound = 3549157.613482, lowerbound=1282381.613482, norm of subgrad 1132.963200	dualbound = 3549157.613482, lowerbound=1282381.613482, norm of subgrad 36.157720	 stepsize= 1.000000 
-dualbound = 3549201.035081, lowerbound=1289124.035081, norm of subgrad 1135.926510	dualbound = 3549201.035081, lowerbound=1289124.035081, norm of subgrad 35.333010	 stepsize= 1.000000 
-dualbound = 3549281.637976, lowerbound=1281862.637976, norm of subgrad 1132.727080	dualbound = 3549281.637976, lowerbound=1281862.637976, norm of subgrad 35.897115	 stepsize= 1.000000 
-dualbound = 3549334.467059, lowerbound=1282727.467059, norm of subgrad 1133.110969	dualbound = 3549334.467059, lowerbound=1282727.467059, norm of subgrad 35.578492	 stepsize= 1.000000 
-dualbound = 3549425.276861, lowerbound=1283284.276861, norm of subgrad 1133.335465	dualbound = 3549425.276861, lowerbound=1283284.276861, norm of subgrad 35.437407	 stepsize= 1.000000 
-dualbound = 3549506.108904, lowerbound=1287744.108904, norm of subgrad 1135.332158	dualbound = 3549506.108904, lowerbound=1287744.108904, norm of subgrad 36.274399	 stepsize= 1.000000 
-dualbound = 3549545.203886, lowerbound=1286091.203886, norm of subgrad 1134.603545	dualbound = 3549545.203886, lowerbound=1286091.203886, norm of subgrad 35.680457	 stepsize= 1.000000 
-dualbound = 3549645.852593, lowerbound=1289743.852593, norm of subgrad 1136.180819	dualbound = 3549645.852593, lowerbound=1289743.852593, norm of subgrad 35.547837	 stepsize= 1.000000 
-dualbound = 3549715.292898, lowerbound=1281212.292898, norm of subgrad 1132.430701	dualbound = 3549715.292898, lowerbound=1281212.292898, norm of subgrad 35.446302	 stepsize= 1.000000 
-dualbound = 3549767.522843, lowerbound=1286666.522843, norm of subgrad 1134.845154	dualbound = 3549767.522843, lowerbound=1286666.522843, norm of subgrad 35.485630	 stepsize= 1.000000 
-dualbound = 3549842.604008, lowerbound=1283128.604008, norm of subgrad 1133.272961	dualbound = 3549842.604008, lowerbound=1283128.604008, norm of subgrad 35.413008	 stepsize= 1.000000 
-dualbound = 3549923.712642, lowerbound=1285269.712642, norm of subgrad 1134.238384	dualbound = 3549923.712642, lowerbound=1285269.712642, norm of subgrad 36.167784	 stepsize= 1.000000 
-dualbound = 3549976.628883, lowerbound=1285303.628883, norm of subgrad 1134.254658	dualbound = 3549976.628883, lowerbound=1285303.628883, norm of subgrad 35.817820	 stepsize= 1.000000 
-dualbound = 3550043.177932, lowerbound=1285303.177932, norm of subgrad 1134.247847	dualbound = 3550043.177932, lowerbound=1285303.177932, norm of subgrad 35.798730	 stepsize= 1.000000 
-dualbound = 3550106.282560, lowerbound=1282782.282560, norm of subgrad 1133.125449	dualbound = 3550106.282560, lowerbound=1282782.282560, norm of subgrad 35.413340	 stepsize= 1.000000 
-dualbound = 3550208.516114, lowerbound=1288182.516114, norm of subgrad 1135.499677	dualbound = 3550208.516114, lowerbound=1288182.516114, norm of subgrad 35.766375	 stepsize= 1.000000 
-dualbound = 3550259.537936, lowerbound=1281483.537936, norm of subgrad 1132.535888	dualbound = 3550259.537936, lowerbound=1281483.537936, norm of subgrad 34.713424	 stepsize= 1.000000 
-dualbound = 3550358.866703, lowerbound=1284756.866703, norm of subgrad 1133.973927	dualbound = 3550358.866703, lowerbound=1284756.866703, norm of subgrad 35.204102	 stepsize= 1.000000 
-dualbound = 3550407.091678, lowerbound=1286015.091678, norm of subgrad 1134.551494	dualbound = 3550407.091678, lowerbound=1286015.091678, norm of subgrad 35.216828	 stepsize= 1.000000 
-dualbound = 3550476.899384, lowerbound=1280948.899384, norm of subgrad 1132.317491	dualbound = 3550476.899384, lowerbound=1280948.899384, norm of subgrad 35.550073	 stepsize= 1.000000 
-dualbound = 3550522.755276, lowerbound=1287334.755276, norm of subgrad 1135.126757	dualbound = 3550522.755276, lowerbound=1287334.755276, norm of subgrad 34.983652	 stepsize= 1.000000 
-dualbound = 3550651.561369, lowerbound=1286718.561369, norm of subgrad 1134.831512	dualbound = 3550651.561369, lowerbound=1286718.561369, norm of subgrad 35.395001	 stepsize= 1.000000 
-dualbound = 3550707.691400, lowerbound=1283103.691400, norm of subgrad 1133.239468	dualbound = 3550707.691400, lowerbound=1283103.691400, norm of subgrad 34.411190	 stepsize= 1.000000 
-dualbound = 3550776.267640, lowerbound=1285269.267640, norm of subgrad 1134.211738	dualbound = 3550776.267640, lowerbound=1285269.267640, norm of subgrad 35.150764	 stepsize= 1.000000 
-dualbound = 3550810.914124, lowerbound=1286035.914124, norm of subgrad 1134.564636	dualbound = 3550810.914124, lowerbound=1286035.914124, norm of subgrad 35.151764	 stepsize= 1.000000 
-dualbound = 3550900.361129, lowerbound=1289248.361129, norm of subgrad 1135.974190	dualbound = 3550900.361129, lowerbound=1289248.361129, norm of subgrad 35.755377	 stepsize= 1.000000 
-dualbound = 3550977.384560, lowerbound=1287017.384560, norm of subgrad 1134.983870	dualbound = 3550977.384560, lowerbound=1287017.384560, norm of subgrad 35.327375	 stepsize= 1.000000 
-dualbound = 3551005.772943, lowerbound=1285207.772943, norm of subgrad 1134.204908	dualbound = 3551005.772943, lowerbound=1285207.772943, norm of subgrad 35.233342	 stepsize= 1.000000 
-dualbound = 3551093.809147, lowerbound=1287563.809147, norm of subgrad 1135.241740	dualbound = 3551093.809147, lowerbound=1287563.809147, norm of subgrad 36.028270	 stepsize= 1.000000 
-dualbound = 3551166.618385, lowerbound=1287019.618385, norm of subgrad 1135.007321	dualbound = 3551166.618385, lowerbound=1287019.618385, norm of subgrad 35.983458	 stepsize= 1.000000 
-dualbound = 3551231.196319, lowerbound=1284188.196319, norm of subgrad 1133.744767	dualbound = 3551231.196319, lowerbound=1284188.196319, norm of subgrad 35.405903	 stepsize= 1.000000 
-dualbound = 3551313.150951, lowerbound=1285692.150951, norm of subgrad 1134.418860	dualbound = 3551313.150951, lowerbound=1285692.150951, norm of subgrad 35.999370	 stepsize= 1.000000 
-dualbound = 3551362.274340, lowerbound=1282403.274340, norm of subgrad 1133.026158	dualbound = 3551362.274340, lowerbound=1282403.274340, norm of subgrad 37.337962	 stepsize= 1.000000 
-dualbound = 3551404.647801, lowerbound=1290933.647801, norm of subgrad 1136.761474	dualbound = 3551404.647801, lowerbound=1290933.647801, norm of subgrad 36.542762	 stepsize= 1.000000 
-dualbound = 3551505.505538, lowerbound=1287878.505538, norm of subgrad 1135.408960	dualbound = 3551505.505538, lowerbound=1287878.505538, norm of subgrad 37.092556	 stepsize= 1.000000 
-dualbound = 3551577.802968, lowerbound=1290465.802968, norm of subgrad 1136.524000	dualbound = 3551577.802968, lowerbound=1290465.802968, norm of subgrad 35.962445	 stepsize= 1.000000 
-dualbound = 3551665.050733, lowerbound=1285162.050733, norm of subgrad 1134.153451	dualbound = 3551665.050733, lowerbound=1285162.050733, norm of subgrad 35.060630	 stepsize= 1.000000 
-dualbound = 3551749.731383, lowerbound=1286419.731383, norm of subgrad 1134.706452	dualbound = 3551749.731383, lowerbound=1286419.731383, norm of subgrad 34.981147	 stepsize= 1.000000 
-dualbound = 3551795.940419, lowerbound=1280935.940419, norm of subgrad 1132.305586	dualbound = 3551795.940419, lowerbound=1280935.940419, norm of subgrad 35.017268	 stepsize= 1.000000 
-dualbound = 3551888.484309, lowerbound=1284279.484309, norm of subgrad 1133.749745	dualbound = 3551888.484309, lowerbound=1284279.484309, norm of subgrad 34.663293	 stepsize= 1.000000 
-dualbound = 3551956.106033, lowerbound=1285834.106033, norm of subgrad 1134.478341	dualbound = 3551956.106033, lowerbound=1285834.106033, norm of subgrad 35.701845	 stepsize= 1.000000 
-dualbound = 3552029.109250, lowerbound=1284458.109250, norm of subgrad 1133.852331	dualbound = 3552029.109250, lowerbound=1284458.109250, norm of subgrad 35.156837	 stepsize= 1.000000 
-dualbound = 3552090.920631, lowerbound=1282182.920631, norm of subgrad 1132.832256	dualbound = 3552090.920631, lowerbound=1282182.920631, norm of subgrad 34.464640	 stepsize= 1.000000 
-dualbound = 3552165.378527, lowerbound=1286967.378527, norm of subgrad 1134.971091	dualbound = 3552165.378527, lowerbound=1286967.378527, norm of subgrad 35.587328	 stepsize= 1.000000 
-dualbound = 3552229.441014, lowerbound=1283839.441014, norm of subgrad 1133.605064	dualbound = 3552229.441014, lowerbound=1283839.441014, norm of subgrad 35.847768	 stepsize= 1.000000 
-dualbound = 3552299.053261, lowerbound=1280844.053261, norm of subgrad 1132.273842	dualbound = 3552299.053261, lowerbound=1280844.053261, norm of subgrad 35.631619	 stepsize= 1.000000 
-dualbound = 3552376.348200, lowerbound=1288300.348200, norm of subgrad 1135.534829	dualbound = 3552376.348200, lowerbound=1288300.348200, norm of subgrad 34.875420	 stepsize= 1.000000 
-dualbound = 3552453.493826, lowerbound=1280829.493826, norm of subgrad 1132.271829	dualbound = 3552453.493826, lowerbound=1280829.493826, norm of subgrad 35.876812	 stepsize= 1.000000 
-dualbound = 3552509.978297, lowerbound=1285928.978297, norm of subgrad 1134.517068	dualbound = 3552509.978297, lowerbound=1285928.978297, norm of subgrad 35.446925	 stepsize= 1.000000 
-dualbound = 3552578.832397, lowerbound=1280925.832397, norm of subgrad 1132.322760	dualbound = 3552578.832397, lowerbound=1280925.832397, norm of subgrad 36.025742	 stepsize= 1.000000 
-dualbound = 3552642.551187, lowerbound=1291827.551187, norm of subgrad 1137.129083	dualbound = 3552642.551187, lowerbound=1291827.551187, norm of subgrad 36.037741	 stepsize= 1.000000 
-dualbound = 3552719.764775, lowerbound=1283280.764775, norm of subgrad 1133.333475	dualbound = 3552719.764775, lowerbound=1283280.764775, norm of subgrad 35.230861	 stepsize= 1.000000 
-dualbound = 3552808.708628, lowerbound=1291867.708628, norm of subgrad 1137.106287	dualbound = 3552808.708628, lowerbound=1291867.708628, norm of subgrad 35.099058	 stepsize= 1.000000 
-dualbound = 3552863.358319, lowerbound=1281429.358319, norm of subgrad 1132.553468	dualbound = 3552863.358319, lowerbound=1281429.358319, norm of subgrad 36.092239	 stepsize= 1.000000 
-dualbound = 3552908.087004, lowerbound=1291159.087004, norm of subgrad 1136.810489	dualbound = 3552908.087004, lowerbound=1291159.087004, norm of subgrad 34.981834	 stepsize= 1.000000 
-dualbound = 3552999.365170, lowerbound=1288192.365170, norm of subgrad 1135.523829	dualbound = 3552999.365170, lowerbound=1288192.365170, norm of subgrad 36.239180	 stepsize= 1.000000 
-dualbound = 3553061.760265, lowerbound=1288417.760265, norm of subgrad 1135.619109	dualbound = 3553061.760265, lowerbound=1288417.760265, norm of subgrad 35.712674	 stepsize= 1.000000 
-dualbound = 3553140.647906, lowerbound=1286510.647906, norm of subgrad 1134.767222	dualbound = 3553140.647906, lowerbound=1286510.647906, norm of subgrad 35.565259	 stepsize= 1.000000 
-dualbound = 3553215.903434, lowerbound=1282415.903434, norm of subgrad 1132.989807	dualbound = 3553215.903434, lowerbound=1282415.903434, norm of subgrad 36.404059	 stepsize= 1.000000 
-dualbound = 3553265.953122, lowerbound=1286333.953122, norm of subgrad 1134.706549	dualbound = 3553265.953122, lowerbound=1286333.953122, norm of subgrad 35.707838	 stepsize= 1.000000 
-dualbound = 3553352.023551, lowerbound=1287598.023551, norm of subgrad 1135.241394	dualbound = 3553352.023551, lowerbound=1287598.023551, norm of subgrad 35.511553	 stepsize= 1.000000 
-dualbound = 3553414.003898, lowerbound=1283928.003898, norm of subgrad 1133.643685	dualbound = 3553414.003898, lowerbound=1283928.003898, norm of subgrad 35.804753	 stepsize= 1.000000 
-dualbound = 3553479.599407, lowerbound=1281362.599407, norm of subgrad 1132.499271	dualbound = 3553479.599407, lowerbound=1281362.599407, norm of subgrad 35.462593	 stepsize= 1.000000 
-dualbound = 3553545.931372, lowerbound=1283557.931372, norm of subgrad 1133.470305	dualbound = 3553545.931372, lowerbound=1283557.931372, norm of subgrad 35.543381	 stepsize= 1.000000 
-dualbound = 3553656.361845, lowerbound=1290067.361845, norm of subgrad 1136.328017	dualbound = 3553656.361845, lowerbound=1290067.361845, norm of subgrad 35.838952	 stepsize= 1.000000 
-dualbound = 3553712.871452, lowerbound=1282511.871452, norm of subgrad 1133.009211	dualbound = 3553712.871452, lowerbound=1282511.871452, norm of subgrad 35.419057	 stepsize= 1.000000 
-dualbound = 3553765.219763, lowerbound=1286750.219763, norm of subgrad 1134.901855	dualbound = 3553765.219763, lowerbound=1286750.219763, norm of subgrad 36.115763	 stepsize= 1.000000 
-dualbound = 3553853.068607, lowerbound=1283235.068607, norm of subgrad 1133.302726	dualbound = 3553853.068607, lowerbound=1283235.068607, norm of subgrad 35.040674	 stepsize= 1.000000 
-dualbound = 3553897.289940, lowerbound=1283654.289940, norm of subgrad 1133.527366	dualbound = 3553897.289940, lowerbound=1283654.289940, norm of subgrad 35.696237	 stepsize= 1.000000 
-dualbound = 3553993.165508, lowerbound=1280772.165508, norm of subgrad 1132.220458	dualbound = 3553993.165508, lowerbound=1280772.165508, norm of subgrad 35.311125	 stepsize= 1.000000 
-dualbound = 3554053.949829, lowerbound=1288855.949829, norm of subgrad 1135.812903	dualbound = 3554053.949829, lowerbound=1288855.949829, norm of subgrad 35.718123	 stepsize= 1.000000 
-dualbound = 3554091.903468, lowerbound=1281694.903468, norm of subgrad 1132.675109	dualbound = 3554091.903468, lowerbound=1281694.903468, norm of subgrad 35.999356	 stepsize= 1.000000 
-dualbound = 3554196.542027, lowerbound=1285714.542027, norm of subgrad 1134.415066	dualbound = 3554196.542027, lowerbound=1285714.542027, norm of subgrad 35.883681	 stepsize= 1.000000 
-dualbound = 3554242.913672, lowerbound=1284589.913672, norm of subgrad 1133.943523	dualbound = 3554242.913672, lowerbound=1284589.913672, norm of subgrad 35.838131	 stepsize= 1.000000 
-dualbound = 3554307.092499, lowerbound=1284776.092499, norm of subgrad 1134.015914	dualbound = 3554307.092499, lowerbound=1284776.092499, norm of subgrad 35.779587	 stepsize= 1.000000 
-dualbound = 3554393.690607, lowerbound=1284347.690607, norm of subgrad 1133.816868	dualbound = 3554393.690607, lowerbound=1284347.690607, norm of subgrad 35.771471	 stepsize= 1.000000 
-dualbound = 3554482.269790, lowerbound=1289307.269790, norm of subgrad 1136.012883	dualbound = 3554482.269790, lowerbound=1289307.269790, norm of subgrad 36.146634	 stepsize= 1.000000 
-dualbound = 3554519.421211, lowerbound=1284483.421211, norm of subgrad 1133.876722	dualbound = 3554519.421211, lowerbound=1284483.421211, norm of subgrad 35.073515	 stepsize= 1.000000 
-dualbound = 3554624.958183, lowerbound=1284297.958183, norm of subgrad 1133.778179	dualbound = 3554624.958183, lowerbound=1284297.958183, norm of subgrad 35.504042	 stepsize= 1.000000 
-dualbound = 3554691.145365, lowerbound=1281858.145365, norm of subgrad 1132.690666	dualbound = 3554691.145365, lowerbound=1281858.145365, norm of subgrad 34.585939	 stepsize= 1.000000 
-dualbound = 3554750.067287, lowerbound=1287864.067287, norm of subgrad 1135.397317	dualbound = 3554750.067287, lowerbound=1287864.067287, norm of subgrad 36.358244	 stepsize= 1.000000 
-dualbound = 3554799.914852, lowerbound=1288182.914852, norm of subgrad 1135.508659	dualbound = 3554799.914852, lowerbound=1288182.914852, norm of subgrad 35.310729	 stepsize= 1.000000 
-dualbound = 3554903.240787, lowerbound=1280382.240787, norm of subgrad 1132.061500	dualbound = 3554903.240787, lowerbound=1280382.240787, norm of subgrad 35.837493	 stepsize= 1.000000 
-dualbound = 3554954.788279, lowerbound=1284668.788279, norm of subgrad 1133.981388	dualbound = 3554954.788279, lowerbound=1284668.788279, norm of subgrad 36.007603	 stepsize= 1.000000 
-dualbound = 3555029.185414, lowerbound=1289953.185414, norm of subgrad 1136.265456	dualbound = 3555029.185414, lowerbound=1289953.185414, norm of subgrad 34.934183	 stepsize= 1.000000 
-dualbound = 3555122.321797, lowerbound=1286106.321797, norm of subgrad 1134.582003	dualbound = 3555122.321797, lowerbound=1286106.321797, norm of subgrad 35.540630	 stepsize= 1.000000 
-dualbound = 3555176.709979, lowerbound=1290431.709979, norm of subgrad 1136.502402	dualbound = 3555176.709979, lowerbound=1290431.709979, norm of subgrad 35.501946	 stepsize= 1.000000 
-dualbound = 3555262.135517, lowerbound=1282962.135517, norm of subgrad 1133.184070	dualbound = 3555262.135517, lowerbound=1282962.135517, norm of subgrad 35.063165	 stepsize= 1.000000 
-dualbound = 3555308.737652, lowerbound=1286500.737652, norm of subgrad 1134.767261	dualbound = 3555308.737652, lowerbound=1286500.737652, norm of subgrad 35.250562	 stepsize= 1.000000 
-dualbound = 3555402.656422, lowerbound=1280556.656422, norm of subgrad 1132.154873	dualbound = 3555402.656422, lowerbound=1280556.656422, norm of subgrad 36.220419	 stepsize= 1.000000 
-dualbound = 3555440.717672, lowerbound=1290572.717673, norm of subgrad 1136.563116	dualbound = 3555440.717672, lowerbound=1290572.717673, norm of subgrad 35.228699	 stepsize= 1.000000 
-dualbound = 3555541.590412, lowerbound=1282520.590412, norm of subgrad 1133.023650	dualbound = 3555541.590412, lowerbound=1282520.590412, norm of subgrad 36.371318	 stepsize= 1.000000 
-dualbound = 3555573.225447, lowerbound=1289508.225447, norm of subgrad 1136.117611	dualbound = 3555573.225447, lowerbound=1289508.225447, norm of subgrad 35.869695	 stepsize= 1.000000 
-dualbound = 3555670.891991, lowerbound=1282943.891991, norm of subgrad 1133.186610	dualbound = 3555670.891991, lowerbound=1282943.891991, norm of subgrad 35.576208	 stepsize= 1.000000 
-dualbound = 3555731.083077, lowerbound=1286452.083077, norm of subgrad 1134.744942	dualbound = 3555731.083077, lowerbound=1286452.083077, norm of subgrad 35.414560	 stepsize= 1.000000 
-dualbound = 3555801.095102, lowerbound=1288481.095102, norm of subgrad 1135.644793	dualbound = 3555801.095102, lowerbound=1288481.095102, norm of subgrad 35.749294	 stepsize= 1.000000 
-dualbound = 3555875.151897, lowerbound=1282121.151897, norm of subgrad 1132.838096	dualbound = 3555875.151897, lowerbound=1282121.151897, norm of subgrad 35.707937	 stepsize= 1.000000 
-dualbound = 3555933.830247, lowerbound=1286189.830247, norm of subgrad 1134.640397	dualbound = 3555933.830247, lowerbound=1286189.830247, norm of subgrad 35.744627	 stepsize= 1.000000 
-dualbound = 3556012.065267, lowerbound=1288958.065267, norm of subgrad 1135.834524	dualbound = 3556012.065267, lowerbound=1288958.065267, norm of subgrad 35.216971	 stepsize= 1.000000 
-dualbound = 3556085.292884, lowerbound=1283879.292884, norm of subgrad 1133.586473	dualbound = 3556085.292884, lowerbound=1283879.292884, norm of subgrad 34.817059	 stepsize= 1.000000 
-dualbound = 3556167.522678, lowerbound=1287914.522678, norm of subgrad 1135.366691	dualbound = 3556167.522678, lowerbound=1287914.522678, norm of subgrad 35.003283	 stepsize= 1.000000 
-dualbound = 3556218.626445, lowerbound=1283985.626445, norm of subgrad 1133.640872	dualbound = 3556218.626445, lowerbound=1283985.626445, norm of subgrad 34.743399	 stepsize= 1.000000 
-dualbound = 3556274.391138, lowerbound=1285682.391138, norm of subgrad 1134.411033	dualbound = 3556274.391138, lowerbound=1285682.391138, norm of subgrad 35.521327	 stepsize= 1.000000 
-dualbound = 3556352.984991, lowerbound=1283131.984991, norm of subgrad 1133.287689	dualbound = 3556352.984991, lowerbound=1283131.984991, norm of subgrad 35.883058	 stepsize= 1.000000 
-dualbound = 3556404.811992, lowerbound=1287666.811992, norm of subgrad 1135.314411	dualbound = 3556404.811992, lowerbound=1287666.811992, norm of subgrad 36.384434	 stepsize= 1.000000 
-dualbound = 3556479.680705, lowerbound=1284471.680705, norm of subgrad 1133.887861	dualbound = 3556479.680705, lowerbound=1284471.680705, norm of subgrad 36.122967	 stepsize= 1.000000 
-dualbound = 3556549.775312, lowerbound=1287587.775312, norm of subgrad 1135.239083	dualbound = 3556549.775312, lowerbound=1287587.775312, norm of subgrad 35.356677	 stepsize= 1.000000 
-dualbound = 3556627.640790, lowerbound=1281032.640790, norm of subgrad 1132.367714	dualbound = 3556627.640790, lowerbound=1281032.640790, norm of subgrad 36.081373	 stepsize= 1.000000 
-dualbound = 3556674.234606, lowerbound=1287149.234606, norm of subgrad 1135.059133	dualbound = 3556674.234606, lowerbound=1287149.234606, norm of subgrad 35.448467	 stepsize= 1.000000 
-dualbound = 3556772.969017, lowerbound=1282178.969017, norm of subgrad 1132.852139	dualbound = 3556772.969017, lowerbound=1282178.969017, norm of subgrad 35.689416	 stepsize= 1.000000 
-dualbound = 3556831.730653, lowerbound=1290997.730653, norm of subgrad 1136.778224	dualbound = 3556831.730653, lowerbound=1290997.730653, norm of subgrad 36.411010	 stepsize= 1.000000 
-dualbound = 3556891.769263, lowerbound=1284289.769263, norm of subgrad 1133.790002	dualbound = 3556891.769263, lowerbound=1284289.769263, norm of subgrad 35.355885	 stepsize= 1.000000 
-dualbound = 3556971.022364, lowerbound=1285952.022364, norm of subgrad 1134.524139	dualbound = 3556971.022364, lowerbound=1285952.022364, norm of subgrad 35.668657	 stepsize= 1.000000 
-dualbound = 3557052.123046, lowerbound=1291369.123046, norm of subgrad 1136.893189	dualbound = 3557052.123046, lowerbound=1291369.123046, norm of subgrad 35.186655	 stepsize= 1.000000 
-dualbound = 3557137.433649, lowerbound=1287061.433649, norm of subgrad 1135.001953	dualbound = 3557137.433649, lowerbound=1287061.433649, norm of subgrad 35.402127	 stepsize= 1.000000 
-dualbound = 3557190.538371, lowerbound=1279138.538371, norm of subgrad 1131.504988	dualbound = 3557190.538371, lowerbound=1279138.538371, norm of subgrad 34.901357	 stepsize= 1.000000 
-dualbound = 3557258.970994, lowerbound=1289292.970994, norm of subgrad 1135.970938	dualbound = 3557258.970994, lowerbound=1289292.970994, norm of subgrad 34.719341	 stepsize= 1.000000 
-dualbound = 3557331.126920, lowerbound=1285757.126920, norm of subgrad 1134.429428	dualbound = 3557331.126920, lowerbound=1285757.126920, norm of subgrad 35.286767	 stepsize= 1.000000 
-dualbound = 3557394.956152, lowerbound=1286218.956152, norm of subgrad 1134.650588	dualbound = 3557394.956152, lowerbound=1286218.956152, norm of subgrad 35.732747	 stepsize= 1.000000 
-dualbound = 3557464.352452, lowerbound=1283615.352452, norm of subgrad 1133.509308	dualbound = 3557464.352452, lowerbound=1283615.352452, norm of subgrad 36.019388	 stepsize= 1.000000 
-dualbound = 3557528.993694, lowerbound=1289861.993694, norm of subgrad 1136.269772	dualbound = 3557528.993694, lowerbound=1289861.993694, norm of subgrad 36.216588	 stepsize= 1.000000 
-dualbound = 3557603.539389, lowerbound=1283709.539389, norm of subgrad 1133.510714	dualbound = 3557603.539389, lowerbound=1283709.539389, norm of subgrad 34.807265	 stepsize= 1.000000 
-dualbound = 3557718.246591, lowerbound=1284864.246591, norm of subgrad 1134.013336	dualbound = 3557718.246591, lowerbound=1284864.246591, norm of subgrad 35.166848	 stepsize= 1.000000 
-dualbound = 3557742.297338, lowerbound=1281510.297338, norm of subgrad 1132.564478	dualbound = 3557742.297338, lowerbound=1281510.297338, norm of subgrad 34.871919	 stepsize= 1.000000 
-dualbound = 3557824.181334, lowerbound=1288437.181334, norm of subgrad 1135.608727	dualbound = 3557824.181334, lowerbound=1288437.181334, norm of subgrad 35.381973	 stepsize= 1.000000 
-dualbound = 3557896.343190, lowerbound=1284296.343190, norm of subgrad 1133.777907	dualbound = 3557896.343190, lowerbound=1284296.343190, norm of subgrad 35.045140	 stepsize= 1.000000 
-dualbound = 3557953.382561, lowerbound=1283497.382561, norm of subgrad 1133.456388	dualbound = 3557953.382561, lowerbound=1283497.382561, norm of subgrad 35.819539	 stepsize= 1.000000 
-dualbound = 3558014.340608, lowerbound=1285535.340608, norm of subgrad 1134.336079	dualbound = 3558014.340608, lowerbound=1285535.340608, norm of subgrad 35.269789	 stepsize= 1.000000 
-dualbound = 3558103.952307, lowerbound=1289242.952307, norm of subgrad 1135.958165	dualbound = 3558103.952307, lowerbound=1289242.952307, norm of subgrad 35.321547	 stepsize= 1.000000 
-dualbound = 3558171.509396, lowerbound=1284459.509396, norm of subgrad 1133.871470	dualbound = 3558171.509396, lowerbound=1284459.509396, norm of subgrad 35.672918	 stepsize= 1.000000 
-dualbound = 3558219.767014, lowerbound=1286068.767014, norm of subgrad 1134.599827	dualbound = 3558219.767014, lowerbound=1286068.767014, norm of subgrad 36.003578	 stepsize= 1.000000 
-dualbound = 3558293.259791, lowerbound=1287525.259791, norm of subgrad 1135.246784	dualbound = 3558293.259791, lowerbound=1287525.259791, norm of subgrad 36.517020	 stepsize= 1.000000 
-dualbound = 3558348.696525, lowerbound=1288697.696525, norm of subgrad 1135.773611	dualbound = 3558348.696525, lowerbound=1288697.696525, norm of subgrad 36.598316	 stepsize= 1.000000 
-dualbound = 3558429.000819, lowerbound=1288095.000819, norm of subgrad 1135.509578	dualbound = 3558429.000819, lowerbound=1288095.000819, norm of subgrad 36.977078	 stepsize= 1.000000 
-dualbound = 3558490.000858, lowerbound=1285343.000858, norm of subgrad 1134.281271	dualbound = 3558490.000858, lowerbound=1285343.000858, norm of subgrad 36.221541	 stepsize= 1.000000 
-dualbound = 3558581.982965, lowerbound=1283676.982965, norm of subgrad 1133.524143	dualbound = 3558581.982965, lowerbound=1283676.982965, norm of subgrad 35.944153	 stepsize= 1.000000 
-dualbound = 3558647.132806, lowerbound=1290157.132806, norm of subgrad 1136.356517	dualbound = 3558647.132806, lowerbound=1290157.132806, norm of subgrad 34.844653	 stepsize= 1.000000 
-dualbound = 3558718.137812, lowerbound=1282842.137812, norm of subgrad 1133.158037	dualbound = 3558718.137812, lowerbound=1282842.137812, norm of subgrad 35.721212	 stepsize= 1.000000 
-dualbound = 3558800.802605, lowerbound=1285552.802605, norm of subgrad 1134.342013	dualbound = 3558800.802605, lowerbound=1285552.802605, norm of subgrad 35.519921	 stepsize= 1.000000 
-dualbound = 3558867.126168, lowerbound=1281057.126168, norm of subgrad 1132.347617	dualbound = 3558867.126168, lowerbound=1281057.126168, norm of subgrad 34.933130	 stepsize= 1.000000 
-dualbound = 3558943.286500, lowerbound=1284106.286500, norm of subgrad 1133.694971	dualbound = 3558943.286500, lowerbound=1284106.286500, norm of subgrad 35.130618	 stepsize= 1.000000 
-dualbound = 3559020.907987, lowerbound=1283300.907987, norm of subgrad 1133.332214	dualbound = 3559020.907987, lowerbound=1283300.907987, norm of subgrad 34.908759	 stepsize= 1.000000 
-dualbound = 3559096.650655, lowerbound=1280824.650655, norm of subgrad 1132.267040	dualbound = 3559096.650655, lowerbound=1280824.650655, norm of subgrad 35.773491	 stepsize= 1.000000 
-dualbound = 3559159.538941, lowerbound=1288637.538941, norm of subgrad 1135.709267	dualbound = 3559159.538941, lowerbound=1288637.538941, norm of subgrad 35.508989	 stepsize= 1.000000 
-dualbound = 3559228.364076, lowerbound=1281732.364076, norm of subgrad 1132.659421	dualbound = 3559228.364076, lowerbound=1281732.364076, norm of subgrad 35.409393	 stepsize= 1.000000 
-dualbound = 3559320.658200, lowerbound=1286807.658200, norm of subgrad 1134.877816	dualbound = 3559320.658200, lowerbound=1286807.658200, norm of subgrad 35.104047	 stepsize= 1.000000 
-dualbound = 3559350.183665, lowerbound=1285316.183665, norm of subgrad 1134.256666	dualbound = 3559350.183665, lowerbound=1285316.183665, norm of subgrad 35.376906	 stepsize= 1.000000 
-dualbound = 3559430.498666, lowerbound=1286280.498666, norm of subgrad 1134.685198	dualbound = 3559430.498666, lowerbound=1286280.498666, norm of subgrad 36.198273	 stepsize= 1.000000 
-dualbound = 3559496.802409, lowerbound=1289737.802409, norm of subgrad 1136.201480	dualbound = 3559496.802409, lowerbound=1289737.802409, norm of subgrad 35.809269	 stepsize= 1.000000 
-dualbound = 3559585.833984, lowerbound=1285668.833984, norm of subgrad 1134.416958	dualbound = 3559585.833984, lowerbound=1285668.833984, norm of subgrad 36.359752	 stepsize= 1.000000 
-dualbound = 3559596.263121, lowerbound=1286450.263121, norm of subgrad 1134.776746	dualbound = 3559596.263121, lowerbound=1286450.263121, norm of subgrad 35.755127	 stepsize= 1.000000 
-dualbound = 3559711.532579, lowerbound=1288216.532579, norm of subgrad 1135.536231	dualbound = 3559711.532579, lowerbound=1288216.532579, norm of subgrad 36.623346	 stepsize= 1.000000 
-dualbound = 3559754.008192, lowerbound=1288717.008192, norm of subgrad 1135.760102	dualbound = 3559754.008192, lowerbound=1288717.008192, norm of subgrad 35.727799	 stepsize= 1.000000 
-dualbound = 3559866.073735, lowerbound=1286545.073735, norm of subgrad 1134.803540	dualbound = 3559866.073735, lowerbound=1286545.073735, norm of subgrad 36.688766	 stepsize= 1.000000 
-dualbound = 3559903.678139, lowerbound=1287115.678139, norm of subgrad 1135.073424	dualbound = 3559903.678139, lowerbound=1287115.678139, norm of subgrad 36.243681	 stepsize= 1.000000 
-dualbound = 3559961.393237, lowerbound=1286903.393237, norm of subgrad 1134.949952	dualbound = 3559961.393237, lowerbound=1286903.393237, norm of subgrad 35.576890	 stepsize= 1.000000 
-dualbound = 3560044.413181, lowerbound=1286528.413181, norm of subgrad 1134.787387	dualbound = 3560044.413181, lowerbound=1286528.413181, norm of subgrad 36.014163	 stepsize= 1.000000 
-dualbound = 3560110.362735, lowerbound=1287330.362735, norm of subgrad 1135.145084	dualbound = 3560110.362735, lowerbound=1287330.362735, norm of subgrad 35.915868	 stepsize= 1.000000 
-dualbound = 3560188.911899, lowerbound=1281298.911899, norm of subgrad 1132.486164	dualbound = 3560188.911899, lowerbound=1281298.911899, norm of subgrad 36.118543	 stepsize= 1.000000 
-dualbound = 3560258.075261, lowerbound=1286377.075261, norm of subgrad 1134.688096	dualbound = 3560258.075261, lowerbound=1286377.075261, norm of subgrad 34.773026	 stepsize= 1.000000 
-dualbound = 3560371.810276, lowerbound=1286118.810276, norm of subgrad 1134.553573	dualbound = 3560371.810276, lowerbound=1286118.810276, norm of subgrad 34.738092	 stepsize= 1.000000 
-dualbound = 3560422.239177, lowerbound=1280611.239177, norm of subgrad 1132.166613	dualbound = 3560422.239177, lowerbound=1280611.239177, norm of subgrad 35.219723	 stepsize= 1.000000 
-dualbound = 3560461.350505, lowerbound=1284755.350505, norm of subgrad 1134.010737	dualbound = 3560461.350505, lowerbound=1284755.350505, norm of subgrad 35.554343	 stepsize= 1.000000 
-dualbound = 3560521.918424, lowerbound=1289528.918424, norm of subgrad 1136.121436	dualbound = 3560521.918424, lowerbound=1289528.918424, norm of subgrad 36.104957	 stepsize= 1.000000 
-dualbound = 3560610.422937, lowerbound=1280632.422937, norm of subgrad 1132.166252	dualbound = 3560610.422937, lowerbound=1280632.422937, norm of subgrad 35.447207	 stepsize= 1.000000 
-dualbound = 3560702.350581, lowerbound=1288533.350581, norm of subgrad 1135.639182	dualbound = 3560702.350581, lowerbound=1288533.350581, norm of subgrad 35.141537	 stepsize= 1.000000 
-dualbound = 3560748.965356, lowerbound=1286750.965356, norm of subgrad 1134.887204	dualbound = 3560748.965356, lowerbound=1286750.965356, norm of subgrad 35.561423	 stepsize= 1.000000 
-dualbound = 3560821.317300, lowerbound=1283078.317300, norm of subgrad 1133.264452	dualbound = 3560821.317300, lowerbound=1283078.317300, norm of subgrad 35.809942	 stepsize= 1.000000 
-dualbound = 3560887.862619, lowerbound=1290885.862619, norm of subgrad 1136.721981	dualbound = 3560887.862619, lowerbound=1290885.862619, norm of subgrad 36.298007	 stepsize= 1.000000 
-dualbound = 3560956.062065, lowerbound=1288820.062065, norm of subgrad 1135.780376	dualbound = 3560956.062065, lowerbound=1288820.062065, norm of subgrad 35.287384	 stepsize= 1.000000 
-dualbound = 3561026.476335, lowerbound=1290475.476335, norm of subgrad 1136.509778	dualbound = 3561026.476335, lowerbound=1290475.476335, norm of subgrad 35.347055	 stepsize= 1.000000 
-dualbound = 3561123.447063, lowerbound=1282454.447063, norm of subgrad 1132.976808	dualbound = 3561123.447063, lowerbound=1282454.447063, norm of subgrad 35.762700	 stepsize= 1.000000 
-dualbound = 3561173.190185, lowerbound=1287823.190185, norm of subgrad 1135.351571	dualbound = 3561173.190185, lowerbound=1287823.190185, norm of subgrad 35.351706	 stepsize= 1.000000 
-dualbound = 3561228.350999, lowerbound=1281931.350999, norm of subgrad 1132.751672	dualbound = 3561228.350999, lowerbound=1281931.350999, norm of subgrad 35.357613	 stepsize= 1.000000 
-dualbound = 3561310.796693, lowerbound=1287987.796693, norm of subgrad 1135.403363	dualbound = 3561310.796693, lowerbound=1287987.796693, norm of subgrad 35.148907	 stepsize= 1.000000 
-dualbound = 3561399.774681, lowerbound=1288333.774681, norm of subgrad 1135.572884	dualbound = 3561399.774681, lowerbound=1288333.774681, norm of subgrad 35.790753	 stepsize= 1.000000 
-dualbound = 3561439.528500, lowerbound=1282783.528500, norm of subgrad 1133.151591	dualbound = 3561439.528500, lowerbound=1282783.528500, norm of subgrad 35.899218	 stepsize= 1.000000 
-dualbound = 3561506.835336, lowerbound=1287384.835336, norm of subgrad 1135.160709	dualbound = 3561506.835336, lowerbound=1287384.835336, norm of subgrad 35.669410	 stepsize= 1.000000 
-dualbound = 3561586.765655, lowerbound=1284596.765655, norm of subgrad 1133.930230	dualbound = 3561586.765655, lowerbound=1284596.765655, norm of subgrad 35.790087	 stepsize= 1.000000 
-dualbound = 3561671.529428, lowerbound=1288500.529428, norm of subgrad 1135.661274	dualbound = 3561671.529428, lowerbound=1288500.529428, norm of subgrad 36.204472	 stepsize= 1.000000 
-dualbound = 3561744.358317, lowerbound=1282726.358317, norm of subgrad 1133.117981	dualbound = 3561744.358317, lowerbound=1282726.358317, norm of subgrad 36.094721	 stepsize= 1.000000 
-dualbound = 3561759.962397, lowerbound=1291154.962397, norm of subgrad 1136.857494	dualbound = 3561759.962397, lowerbound=1291154.962397, norm of subgrad 36.133144	 stepsize= 1.000000 
-dualbound = 3561855.138423, lowerbound=1282670.138423, norm of subgrad 1133.101998	dualbound = 3561855.138423, lowerbound=1282670.138423, norm of subgrad 36.676641	 stepsize= 1.000000 
-dualbound = 3561916.839411, lowerbound=1288414.839411, norm of subgrad 1135.622666	dualbound = 3561916.839411, lowerbound=1288414.839411, norm of subgrad 35.856673	 stepsize= 1.000000 
-dualbound = 3562007.303011, lowerbound=1284420.303011, norm of subgrad 1133.836542	dualbound = 3562007.303011, lowerbound=1284420.303011, norm of subgrad 35.432522	 stepsize= 1.000000 
-dualbound = 3562077.460542, lowerbound=1287724.460542, norm of subgrad 1135.319101	dualbound = 3562077.460542, lowerbound=1287724.460542, norm of subgrad 35.988297	 stepsize= 1.000000 
-dualbound = 3562138.842580, lowerbound=1283108.842580, norm of subgrad 1133.306156	dualbound = 3562138.842580, lowerbound=1283108.842580, norm of subgrad 36.542879	 stepsize= 1.000000 
-dualbound = 3562199.771422, lowerbound=1287078.771422, norm of subgrad 1135.050559	dualbound = 3562199.771422, lowerbound=1287078.771422, norm of subgrad 36.358339	 stepsize= 1.000000 
-dualbound = 3562285.141516, lowerbound=1284139.141516, norm of subgrad 1133.744743	dualbound = 3562285.141516, lowerbound=1284139.141516, norm of subgrad 36.378154	 stepsize= 1.000000 
-dualbound = 3562347.395811, lowerbound=1288197.395811, norm of subgrad 1135.525163	dualbound = 3562347.395811, lowerbound=1288197.395811, norm of subgrad 35.808579	 stepsize= 1.000000 
-dualbound = 3562418.247883, lowerbound=1285885.247883, norm of subgrad 1134.503966	dualbound = 3562418.247883, lowerbound=1285885.247883, norm of subgrad 35.844833	 stepsize= 1.000000 
-dualbound = 3562501.724725, lowerbound=1286039.724725, norm of subgrad 1134.550891	dualbound = 3562501.724725, lowerbound=1286039.724725, norm of subgrad 35.347940	 stepsize= 1.000000 
-dualbound = 3562580.657416, lowerbound=1288508.657416, norm of subgrad 1135.638876	dualbound = 3562580.657416, lowerbound=1288508.657416, norm of subgrad 35.297772	 stepsize= 1.000000 
-dualbound = 3562652.697820, lowerbound=1286490.697820, norm of subgrad 1134.780462	dualbound = 3562652.697820, lowerbound=1286490.697820, norm of subgrad 36.166841	 stepsize= 1.000000 
-dualbound = 3562702.225216, lowerbound=1285502.225216, norm of subgrad 1134.323686	dualbound = 3562702.225216, lowerbound=1285502.225216, norm of subgrad 35.178508	 stepsize= 1.000000 
-dualbound = 3562801.784092, lowerbound=1292409.784092, norm of subgrad 1137.388141	dualbound = 3562801.784092, lowerbound=1292409.784092, norm of subgrad 36.627297	 stepsize= 1.000000 
-dualbound = 3562839.766160, lowerbound=1286115.766160, norm of subgrad 1134.598064	dualbound = 3562839.766160, lowerbound=1286115.766160, norm of subgrad 35.142312	 stepsize= 1.000000 
-dualbound = 3562908.497161, lowerbound=1285762.497161, norm of subgrad 1134.440610	dualbound = 3562908.497161, lowerbound=1285762.497161, norm of subgrad 35.520853	 stepsize= 1.000000 
-dualbound = 3562995.100584, lowerbound=1284917.100584, norm of subgrad 1134.044135	dualbound = 3562995.100584, lowerbound=1284917.100584, norm of subgrad 35.008619	 stepsize= 1.000000 
-dualbound = 3563086.562104, lowerbound=1287035.562104, norm of subgrad 1135.012582	dualbound = 3563086.562104, lowerbound=1287035.562104, norm of subgrad 36.186483	 stepsize= 1.000000 
-dualbound = 3563116.740872, lowerbound=1286162.740872, norm of subgrad 1134.624493	dualbound = 3563116.740872, lowerbound=1286162.740872, norm of subgrad 35.216172	 stepsize= 1.000000 
-dualbound = 3563206.471443, lowerbound=1288387.471443, norm of subgrad 1135.593885	dualbound = 3563206.471443, lowerbound=1288387.471443, norm of subgrad 35.717371	 stepsize= 1.000000 
-dualbound = 3563275.085177, lowerbound=1286015.085177, norm of subgrad 1134.535625	dualbound = 3563275.085177, lowerbound=1286015.085177, norm of subgrad 34.994481	 stepsize= 1.000000 
-dualbound = 3563363.091217, lowerbound=1286807.091217, norm of subgrad 1134.878007	dualbound = 3563363.091217, lowerbound=1286807.091217, norm of subgrad 35.057182	 stepsize= 1.000000 
-dualbound = 3563411.622449, lowerbound=1283712.622449, norm of subgrad 1133.518691	dualbound = 3563411.622449, lowerbound=1283712.622449, norm of subgrad 34.648683	 stepsize= 1.000000 
-dualbound = 3563475.386472, lowerbound=1285087.386472, norm of subgrad 1134.155363	dualbound = 3563475.386472, lowerbound=1285087.386472, norm of subgrad 35.843605	 stepsize= 1.000000 
-dualbound = 3563534.468619, lowerbound=1284115.468619, norm of subgrad 1133.711810	dualbound = 3563534.468619, lowerbound=1284115.468619, norm of subgrad 35.299889	 stepsize= 1.000000 
-dualbound = 3563595.756170, lowerbound=1284358.756170, norm of subgrad 1133.834537	dualbound = 3563595.756170, lowerbound=1284358.756170, norm of subgrad 35.823003	 stepsize= 1.000000 
-dualbound = 3563664.507387, lowerbound=1282859.507387, norm of subgrad 1133.152023	dualbound = 3563664.507387, lowerbound=1282859.507387, norm of subgrad 35.252677	 stepsize= 1.000000 
-dualbound = 3563746.381475, lowerbound=1288724.381475, norm of subgrad 1135.738694	dualbound = 3563746.381475, lowerbound=1288724.381475, norm of subgrad 35.494705	 stepsize= 1.000000 
-dualbound = 3563792.356086, lowerbound=1283160.356086, norm of subgrad 1133.284764	dualbound = 3563792.356086, lowerbound=1283160.356086, norm of subgrad 34.928135	 stepsize= 1.000000 
-dualbound = 3563899.617584, lowerbound=1289196.617584, norm of subgrad 1135.961539	dualbound = 3563899.617584, lowerbound=1289196.617584, norm of subgrad 36.321640	 stepsize= 1.000000 
-dualbound = 3563946.683914, lowerbound=1285398.683914, norm of subgrad 1134.305816	dualbound = 3563946.683914, lowerbound=1285398.683914, norm of subgrad 36.028688	 stepsize= 1.000000 
-dualbound = 3564013.034368, lowerbound=1287307.034368, norm of subgrad 1135.156392	dualbound = 3564013.034368, lowerbound=1287307.034368, norm of subgrad 36.597137	 stepsize= 1.000000 
-dualbound = 3564080.442121, lowerbound=1286921.442121, norm of subgrad 1134.979049	dualbound = 3564080.442121, lowerbound=1286921.442121, norm of subgrad 36.378672	 stepsize= 1.000000 
-dualbound = 3564174.280662, lowerbound=1287115.280662, norm of subgrad 1135.039330	dualbound = 3564174.280662, lowerbound=1287115.280662, norm of subgrad 35.956064	 stepsize= 1.000000 
-dualbound = 3564234.501905, lowerbound=1284251.501905, norm of subgrad 1133.785915	dualbound = 3564234.501905, lowerbound=1284251.501905, norm of subgrad 35.766203	 stepsize= 1.000000 
-dualbound = 3564295.329005, lowerbound=1280286.329005, norm of subgrad 1132.066398	dualbound = 3564295.329005, lowerbound=1280286.329005, norm of subgrad 36.726382	 stepsize= 1.000000 
-dualbound = 3564363.051347, lowerbound=1288319.051347, norm of subgrad 1135.581372	dualbound = 3564363.051347, lowerbound=1288319.051347, norm of subgrad 35.968352	 stepsize= 1.000000 
-dualbound = 3564442.581715, lowerbound=1287929.581715, norm of subgrad 1135.392259	dualbound = 3564442.581715, lowerbound=1287929.581715, norm of subgrad 35.574294	 stepsize= 1.000000 
-dualbound = 3564517.434653, lowerbound=1289228.434653, norm of subgrad 1135.973783	dualbound = 3564517.434653, lowerbound=1289228.434653, norm of subgrad 35.816936	 stepsize= 1.000000 
-dualbound = 3564609.355202, lowerbound=1290092.355202, norm of subgrad 1136.331974	dualbound = 3564609.355202, lowerbound=1290092.355202, norm of subgrad 35.354215	 stepsize= 1.000000 
-dualbound = 3564662.423144, lowerbound=1284701.423144, norm of subgrad 1133.963590	dualbound = 3564662.423144, lowerbound=1284701.423144, norm of subgrad 35.000971	 stepsize= 1.000000 
-dualbound = 3564740.125232, lowerbound=1283677.125232, norm of subgrad 1133.547584	dualbound = 3564740.125232, lowerbound=1283677.125232, norm of subgrad 36.478790	 stepsize= 1.000000 
-dualbound = 3564783.912630, lowerbound=1289408.912630, norm of subgrad 1136.077864	dualbound = 3564783.912630, lowerbound=1289408.912630, norm of subgrad 36.163343	 stepsize= 1.000000 
-dualbound = 3564857.051651, lowerbound=1286416.051651, norm of subgrad 1134.734794	dualbound = 3564857.051651, lowerbound=1286416.051651, norm of subgrad 35.779030	 stepsize= 1.000000 
-dualbound = 3564934.856601, lowerbound=1288546.856601, norm of subgrad 1135.627957	dualbound = 3564934.856601, lowerbound=1288546.856601, norm of subgrad 34.377390	 stepsize= 1.000000 
-dualbound = 3565043.088605, lowerbound=1283987.088605, norm of subgrad 1133.654307	dualbound = 3565043.088605, lowerbound=1283987.088605, norm of subgrad 35.961535	 stepsize= 1.000000 
-dualbound = 3565067.315621, lowerbound=1285509.315621, norm of subgrad 1134.307858	dualbound = 3565067.315621, lowerbound=1285509.315621, norm of subgrad 34.193962	 stepsize= 1.000000 
-dualbound = 3565162.320552, lowerbound=1284219.320552, norm of subgrad 1133.770400	dualbound = 3565162.320552, lowerbound=1284219.320552, norm of subgrad 36.207802	 stepsize= 1.000000 
-dualbound = 3565215.898840, lowerbound=1290474.898840, norm of subgrad 1136.500725	dualbound = 3565215.898840, lowerbound=1290474.898840, norm of subgrad 34.822095	 stepsize= 1.000000 
-dualbound = 3565299.899066, lowerbound=1286987.899066, norm of subgrad 1134.997753	dualbound = 3565299.899066, lowerbound=1286987.899066, norm of subgrad 36.276717	 stepsize= 1.000000 
-dualbound = 3565350.652768, lowerbound=1289072.652768, norm of subgrad 1135.900371	dualbound = 3565350.652768, lowerbound=1289072.652768, norm of subgrad 35.323557	 stepsize= 1.000000 
-dualbound = 3565457.885274, lowerbound=1290370.885274, norm of subgrad 1136.452764	dualbound = 3565457.885274, lowerbound=1290370.885274, norm of subgrad 35.513835	 stepsize= 1.000000 
-dualbound = 3565497.963825, lowerbound=1282821.963825, norm of subgrad 1133.136339	dualbound = 3565497.963825, lowerbound=1282821.963825, norm of subgrad 34.872318	 stepsize= 1.000000 
-dualbound = 3565584.879978, lowerbound=1285397.879978, norm of subgrad 1134.272842	dualbound = 3565584.879978, lowerbound=1285397.879978, norm of subgrad 35.551598	 stepsize= 1.000000 
-dualbound = 3565639.071980, lowerbound=1288239.071980, norm of subgrad 1135.524580	dualbound = 3565639.071980, lowerbound=1288239.071980, norm of subgrad 35.088346	 stepsize= 1.000000 
-dualbound = 3565731.029646, lowerbound=1284892.029646, norm of subgrad 1134.041018	dualbound = 3565731.029646, lowerbound=1284892.029646, norm of subgrad 35.340595	 stepsize= 1.000000 
-dualbound = 3565770.316874, lowerbound=1282970.316874, norm of subgrad 1133.209741	dualbound = 3565770.316874, lowerbound=1282970.316874, norm of subgrad 35.118189	 stepsize= 1.000000 
-dualbound = 3565861.772398, lowerbound=1285081.772398, norm of subgrad 1134.123791	dualbound = 3565861.772398, lowerbound=1285081.772398, norm of subgrad 35.305177	 stepsize= 1.000000 
-dualbound = 3565905.385927, lowerbound=1285577.385927, norm of subgrad 1134.390755	dualbound = 3565905.385927, lowerbound=1285577.385927, norm of subgrad 36.174764	 stepsize= 1.000000 
-dualbound = 3565958.524656, lowerbound=1286405.524656, norm of subgrad 1134.757474	dualbound = 3565958.524656, lowerbound=1286405.524656, norm of subgrad 36.361226	 stepsize= 1.000000 
-dualbound = 3566043.075370, lowerbound=1286087.075370, norm of subgrad 1134.604370	dualbound = 3566043.075370, lowerbound=1286087.075370, norm of subgrad 36.394378	 stepsize= 1.000000 
-dualbound = 3566129.273171, lowerbound=1288587.273171, norm of subgrad 1135.689338	dualbound = 3566129.273171, lowerbound=1288587.273171, norm of subgrad 35.905401	 stepsize= 1.000000 
-dualbound = 3566200.167152, lowerbound=1285708.167152, norm of subgrad 1134.425920	dualbound = 3566200.167152, lowerbound=1285708.167152, norm of subgrad 35.845418	 stepsize= 1.000000 
-dualbound = 3566249.924254, lowerbound=1285826.924254, norm of subgrad 1134.483550	dualbound = 3566249.924254, lowerbound=1285826.924254, norm of subgrad 35.717742	 stepsize= 1.000000 
-dualbound = 3566355.818510, lowerbound=1286150.818510, norm of subgrad 1134.589273	dualbound = 3566355.818510, lowerbound=1286150.818510, norm of subgrad 35.325547	 stepsize= 1.000000 
-dualbound = 3566415.403723, lowerbound=1288526.403723, norm of subgrad 1135.652854	dualbound = 3566415.403723, lowerbound=1288526.403723, norm of subgrad 35.221942	 stepsize= 1.000000 
-dualbound = 3566467.384219, lowerbound=1288279.384219, norm of subgrad 1135.563025	dualbound = 3566467.384219, lowerbound=1288279.384219, norm of subgrad 35.720869	 stepsize= 1.000000 
-dualbound = 3566534.095046, lowerbound=1287732.095046, norm of subgrad 1135.308370	dualbound = 3566534.095046, lowerbound=1287732.095046, norm of subgrad 35.492405	 stepsize= 1.000000 
-dualbound = 3566596.136533, lowerbound=1289728.136533, norm of subgrad 1136.180063	dualbound = 3566596.136533, lowerbound=1289728.136533, norm of subgrad 35.200021	 stepsize= 1.000000 
-dualbound = 3566676.849884, lowerbound=1288713.849884, norm of subgrad 1135.761793	dualbound = 3566676.849884, lowerbound=1288713.849884, norm of subgrad 36.355376	 stepsize= 1.000000 
-dualbound = 3566724.509000, lowerbound=1292202.509000, norm of subgrad 1137.282950	dualbound = 3566724.509000, lowerbound=1292202.509000, norm of subgrad 35.463490	 stepsize= 1.000000 
-dualbound = 3566824.401727, lowerbound=1280676.401727, norm of subgrad 1132.207314	dualbound = 3566824.401727, lowerbound=1280676.401727, norm of subgrad 36.289017	 stepsize= 1.000000 
-dualbound = 3566860.401847, lowerbound=1290459.401847, norm of subgrad 1136.511945	dualbound = 3566860.401847, lowerbound=1290459.401847, norm of subgrad 35.156793	 stepsize= 1.000000 
-dualbound = 3566976.976374, lowerbound=1288884.976374, norm of subgrad 1135.812474	dualbound = 3566976.976374, lowerbound=1288884.976374, norm of subgrad 36.077341	 stepsize= 1.000000 
-dualbound = 3567020.417059, lowerbound=1290492.417059, norm of subgrad 1136.501833	dualbound = 3567020.417059, lowerbound=1290492.417059, norm of subgrad 34.459261	 stepsize= 1.000000 
-dualbound = 3567106.696160, lowerbound=1283219.696160, norm of subgrad 1133.321974	dualbound = 3567106.696160, lowerbound=1283219.696160, norm of subgrad 35.850789	 stepsize= 1.000000 
-dualbound = 3567141.107845, lowerbound=1283634.107845, norm of subgrad 1133.526845	dualbound = 3567141.107845, lowerbound=1283634.107845, norm of subgrad 35.824736	 stepsize= 1.000000 
-dualbound = 3567239.440664, lowerbound=1288090.440664, norm of subgrad 1135.461774	dualbound = 3567239.440664, lowerbound=1288090.440664, norm of subgrad 35.795709	 stepsize= 1.000000 
-dualbound = 3567298.585943, lowerbound=1286064.585943, norm of subgrad 1134.598425	dualbound = 3567298.585943, lowerbound=1286064.585943, norm of subgrad 36.168291	 stepsize= 1.000000 
-dualbound = 3567357.055842, lowerbound=1283161.055842, norm of subgrad 1133.289043	dualbound = 3567357.055842, lowerbound=1283161.055842, norm of subgrad 35.234499	 stepsize= 1.000000 
-dualbound = 3567443.121698, lowerbound=1285745.121698, norm of subgrad 1134.454989	dualbound = 3567443.121698, lowerbound=1285745.121698, norm of subgrad 36.456355	 stepsize= 1.000000 
-dualbound = 3567484.325281, lowerbound=1287088.325281, norm of subgrad 1135.040231	dualbound = 3567484.325281, lowerbound=1287088.325281, norm of subgrad 35.625884	 stepsize= 1.000000 
-dualbound = 3567557.068282, lowerbound=1285712.068282, norm of subgrad 1134.434250	dualbound = 3567557.068282, lowerbound=1285712.068282, norm of subgrad 36.079676	 stepsize= 1.000000 
-dualbound = 3567635.138263, lowerbound=1286675.138263, norm of subgrad 1134.870538	dualbound = 3567635.138263, lowerbound=1286675.138263, norm of subgrad 36.524923	 stepsize= 1.000000 
-dualbound = 3567690.379914, lowerbound=1288066.379914, norm of subgrad 1135.451179	dualbound = 3567690.379914, lowerbound=1288066.379914, norm of subgrad 35.188658	 stepsize= 1.000000 
-dualbound = 3567784.559968, lowerbound=1283810.559968, norm of subgrad 1133.562773	dualbound = 3567784.559968, lowerbound=1283810.559968, norm of subgrad 35.329592	 stepsize= 1.000000 
-dualbound = 3567864.929071, lowerbound=1282280.929071, norm of subgrad 1132.921855	dualbound = 3567864.929071, lowerbound=1282280.929071, norm of subgrad 36.212831	 stepsize= 1.000000 
-dualbound = 3567912.045761, lowerbound=1285662.045761, norm of subgrad 1134.383994	dualbound = 3567912.045761, lowerbound=1285662.045761, norm of subgrad 34.815466	 stepsize= 1.000000 
-dualbound = 3567990.535471, lowerbound=1290416.535471, norm of subgrad 1136.495726	dualbound = 3567990.535471, lowerbound=1290416.535471, norm of subgrad 35.839778	 stepsize= 1.000000 
-dualbound = 3568065.111682, lowerbound=1284634.111682, norm of subgrad 1133.979326	dualbound = 3568065.111682, lowerbound=1284634.111682, norm of subgrad 36.736579	 stepsize= 1.000000 
-dualbound = 3568110.893029, lowerbound=1286684.893029, norm of subgrad 1134.858094	dualbound = 3568110.893029, lowerbound=1286684.893029, norm of subgrad 35.549702	 stepsize= 1.000000 
-dualbound = 3568185.678048, lowerbound=1284451.678048, norm of subgrad 1133.890505	dualbound = 3568185.678048, lowerbound=1284451.678048, norm of subgrad 36.479926	 stepsize= 1.000000 
-dualbound = 3568279.074497, lowerbound=1285673.074497, norm of subgrad 1134.417945	dualbound = 3568279.074497, lowerbound=1285673.074497, norm of subgrad 36.392258	 stepsize= 1.000000 
-dualbound = 3568336.095915, lowerbound=1290854.095915, norm of subgrad 1136.724723	dualbound = 3568336.095915, lowerbound=1290854.095915, norm of subgrad 36.688165	 stepsize= 1.000000 
-dualbound = 3568408.674938, lowerbound=1288700.674938, norm of subgrad 1135.743666	dualbound = 3568408.674938, lowerbound=1288700.674938, norm of subgrad 35.854972	 stepsize= 1.000000 
-dualbound = 3568502.607050, lowerbound=1283319.607050, norm of subgrad 1133.352375	dualbound = 3568502.607050, lowerbound=1283319.607050, norm of subgrad 35.523684	 stepsize= 1.000000 
-dualbound = 3568558.702816, lowerbound=1288191.702816, norm of subgrad 1135.510327	dualbound = 3568558.702816, lowerbound=1288191.702816, norm of subgrad 35.328399	 stepsize= 1.000000 
-dualbound = 3568654.256926, lowerbound=1287808.256926, norm of subgrad 1135.326058	dualbound = 3568654.256926, lowerbound=1287808.256926, norm of subgrad 35.391441	 stepsize= 1.000000 
-dualbound = 3568702.934454, lowerbound=1286054.934454, norm of subgrad 1134.572137	dualbound = 3568702.934454, lowerbound=1286054.934454, norm of subgrad 35.322479	 stepsize= 1.000000 
-dualbound = 3568773.607124, lowerbound=1289653.607124, norm of subgrad 1136.163988	dualbound = 3568773.607124, lowerbound=1289653.607124, norm of subgrad 35.856278	 stepsize= 1.000000 
-dualbound = 3568817.059977, lowerbound=1285127.059977, norm of subgrad 1134.190487	dualbound = 3568817.059977, lowerbound=1285127.059977, norm of subgrad 36.117210	 stepsize= 1.000000 
-dualbound = 3568904.299952, lowerbound=1286720.299952, norm of subgrad 1134.849902	dualbound = 3568904.299952, lowerbound=1286720.299952, norm of subgrad 35.372871	 stepsize= 1.000000 
-dualbound = 3568977.775729, lowerbound=1286854.775729, norm of subgrad 1134.914435	dualbound = 3568977.775729, lowerbound=1286854.775729, norm of subgrad 35.347925	 stepsize= 1.000000 
-dualbound = 3569045.874793, lowerbound=1286805.874793, norm of subgrad 1134.887164	dualbound = 3569045.874793, lowerbound=1286805.874793, norm of subgrad 35.087021	 stepsize= 1.000000 
-dualbound = 3569102.962778, lowerbound=1283697.962778, norm of subgrad 1133.559422	dualbound = 3569102.962778, lowerbound=1283697.962778, norm of subgrad 36.277927	 stepsize= 1.000000 
-dualbound = 3569184.730982, lowerbound=1283831.730982, norm of subgrad 1133.589313	dualbound = 3569184.730982, lowerbound=1283831.730982, norm of subgrad 35.703896	 stepsize= 1.000000 
-dualbound = 3569249.603998, lowerbound=1289798.603998, norm of subgrad 1136.233516	dualbound = 3569249.603998, lowerbound=1289798.603998, norm of subgrad 35.956543	 stepsize= 1.000000 
-dualbound = 3569318.246358, lowerbound=1286370.246358, norm of subgrad 1134.749861	dualbound = 3569318.246358, lowerbound=1286370.246358, norm of subgrad 36.819049	 stepsize= 1.000000 
-dualbound = 3569366.105099, lowerbound=1293003.105099, norm of subgrad 1137.644103	dualbound = 3569366.105099, lowerbound=1293003.105099, norm of subgrad 35.761135	 stepsize= 1.000000 
-dualbound = 3569453.134911, lowerbound=1284523.134911, norm of subgrad 1133.891589	dualbound = 3569453.134911, lowerbound=1284523.134911, norm of subgrad 35.693554	 stepsize= 1.000000 
-dualbound = 3569531.395144, lowerbound=1287694.395144, norm of subgrad 1135.293969	dualbound = 3569531.395144, lowerbound=1287694.395144, norm of subgrad 35.724785	 stepsize= 1.000000 
-dualbound = 3569594.121700, lowerbound=1284544.121700, norm of subgrad 1133.904371	dualbound = 3569594.121700, lowerbound=1284544.121700, norm of subgrad 35.464441	 stepsize= 1.000000 
-dualbound = 3569657.350840, lowerbound=1289221.350840, norm of subgrad 1135.982989	dualbound = 3569657.350840, lowerbound=1289221.350840, norm of subgrad 36.044821	 stepsize= 1.000000 
-dualbound = 3569744.230649, lowerbound=1283566.230649, norm of subgrad 1133.484994	dualbound = 3569744.230649, lowerbound=1283566.230649, norm of subgrad 36.178444	 stepsize= 1.000000 
-dualbound = 3569775.249619, lowerbound=1285753.249619, norm of subgrad 1134.459012	dualbound = 3569775.249619, lowerbound=1285753.249619, norm of subgrad 35.707408	 stepsize= 1.000000 
-dualbound = 3569869.698319, lowerbound=1283107.698319, norm of subgrad 1133.265943	dualbound = 3569869.698319, lowerbound=1283107.698319, norm of subgrad 35.755401	 stepsize= 1.000000 
-dualbound = 3569971.715480, lowerbound=1289329.715480, norm of subgrad 1136.017480	dualbound = 3569971.715480, lowerbound=1289329.715480, norm of subgrad 36.166520	 stepsize= 1.000000 
-dualbound = 3570029.470548, lowerbound=1285448.470548, norm of subgrad 1134.315419	dualbound = 3570029.470548, lowerbound=1285448.470548, norm of subgrad 35.787638	 stepsize= 1.000000 
-dualbound = 3570076.607002, lowerbound=1284960.607002, norm of subgrad 1134.086684	dualbound = 3570076.607002, lowerbound=1284960.607002, norm of subgrad 35.201370	 stepsize= 1.000000 
-dualbound = 3570176.921584, lowerbound=1285242.921584, norm of subgrad 1134.231864	dualbound = 3570176.921584, lowerbound=1285242.921584, norm of subgrad 36.596647	 stepsize= 1.000000 
-dualbound = 3570227.589854, lowerbound=1284263.589854, norm of subgrad 1133.783308	dualbound = 3570227.589854, lowerbound=1284263.589854, norm of subgrad 35.378924	 stepsize= 1.000000 
-dualbound = 3570316.919886, lowerbound=1286090.919886, norm of subgrad 1134.618403	dualbound = 3570316.919886, lowerbound=1286090.919886, norm of subgrad 36.841960	 stepsize= 1.000000 
-dualbound = 3570355.205266, lowerbound=1285674.205266, norm of subgrad 1134.410069	dualbound = 3570355.205266, lowerbound=1285674.205266, norm of subgrad 35.359375	 stepsize= 1.000000 
-dualbound = 3570461.337403, lowerbound=1287434.337403, norm of subgrad 1135.182072	dualbound = 3570461.337403, lowerbound=1287434.337403, norm of subgrad 36.195748	 stepsize= 1.000000 
-dualbound = 3570513.985479, lowerbound=1285595.985479, norm of subgrad 1134.359725	dualbound = 3570513.985479, lowerbound=1285595.985479, norm of subgrad 35.052077	 stepsize= 1.000000 
-dualbound = 3570599.141061, lowerbound=1285534.141061, norm of subgrad 1134.339518	dualbound = 3570599.141061, lowerbound=1285534.141061, norm of subgrad 35.737314	 stepsize= 1.000000 
-dualbound = 3570670.415974, lowerbound=1281804.415974, norm of subgrad 1132.662534	dualbound = 3570670.415974, lowerbound=1281804.415974, norm of subgrad 34.514851	 stepsize= 1.000000 
-dualbound = 3570744.511123, lowerbound=1291574.511123, norm of subgrad 1136.995387	dualbound = 3570744.511123, lowerbound=1291574.511123, norm of subgrad 35.469637	 stepsize= 1.000000 
-dualbound = 3570761.292006, lowerbound=1286676.292006, norm of subgrad 1134.840205	dualbound = 3570761.292006, lowerbound=1286676.292006, norm of subgrad 34.681132	 stepsize= 1.000000 
-dualbound = 3570878.338468, lowerbound=1284308.338468, norm of subgrad 1133.796868	dualbound = 3570878.338468, lowerbound=1284308.338468, norm of subgrad 36.111583	 stepsize= 1.000000 
-dualbound = 3570940.324937, lowerbound=1284507.324937, norm of subgrad 1133.888586	dualbound = 3570940.324937, lowerbound=1284507.324937, norm of subgrad 35.468105	 stepsize= 1.000000 
-dualbound = 3570996.531295, lowerbound=1288172.531295, norm of subgrad 1135.518177	dualbound = 3570996.531295, lowerbound=1288172.531295, norm of subgrad 35.849775	 stepsize= 1.000000 
-dualbound = 3571047.591063, lowerbound=1290511.591063, norm of subgrad 1136.563501	dualbound = 3571047.591063, lowerbound=1290511.591063, norm of subgrad 36.277538	 stepsize= 1.000000 
-dualbound = 3571131.732650, lowerbound=1285293.732650, norm of subgrad 1134.245446	dualbound = 3571131.732650, lowerbound=1285293.732650, norm of subgrad 36.099052	 stepsize= 1.000000 
-dualbound = 3571209.857894, lowerbound=1286510.857894, norm of subgrad 1134.782295	dualbound = 3571209.857894, lowerbound=1286510.857894, norm of subgrad 36.029505	 stepsize= 1.000000 
-dualbound = 3571271.686824, lowerbound=1285801.686824, norm of subgrad 1134.468019	dualbound = 3571271.686824, lowerbound=1285801.686824, norm of subgrad 35.746733	 stepsize= 1.000000 
-dualbound = 3571362.377079, lowerbound=1289245.377079, norm of subgrad 1136.000166	dualbound = 3571362.377079, lowerbound=1289245.377079, norm of subgrad 36.629090	 stepsize= 1.000000 
-dualbound = 3571396.354566, lowerbound=1291055.354566, norm of subgrad 1136.791694	dualbound = 3571396.354566, lowerbound=1291055.354566, norm of subgrad 35.692821	 stepsize= 1.000000 
-dualbound = 3571485.429901, lowerbound=1284341.429901, norm of subgrad 1133.818958	dualbound = 3571485.429901, lowerbound=1284341.429901, norm of subgrad 35.959357	 stepsize= 1.000000 
-dualbound = 3571563.881141, lowerbound=1284753.881141, norm of subgrad 1134.008325	dualbound = 3571563.881141, lowerbound=1284753.881141, norm of subgrad 36.047902	 stepsize= 1.000000 
-dualbound = 3571611.370586, lowerbound=1287978.370586, norm of subgrad 1135.411542	dualbound = 3571611.370586, lowerbound=1287978.370586, norm of subgrad 35.049814	 stepsize= 1.000000 
-dualbound = 3571708.611247, lowerbound=1290099.611247, norm of subgrad 1136.362447	dualbound = 3571708.611247, lowerbound=1290099.611247, norm of subgrad 36.293810	 stepsize= 1.000000 
-dualbound = 3571749.189829, lowerbound=1289114.189829, norm of subgrad 1135.914693	dualbound = 3571749.189829, lowerbound=1289114.189829, norm of subgrad 35.051085	 stepsize= 1.000000 
-dualbound = 3571832.856222, lowerbound=1282930.856222, norm of subgrad 1133.209979	dualbound = 3571832.856222, lowerbound=1282930.856222, norm of subgrad 36.299675	 stepsize= 1.000000 
-dualbound = 3571900.018600, lowerbound=1289022.018600, norm of subgrad 1135.873681	dualbound = 3571900.018600, lowerbound=1289022.018600, norm of subgrad 35.414155	 stepsize= 1.000000 
-dualbound = 3571983.610026, lowerbound=1285360.610026, norm of subgrad 1134.265670	dualbound = 3571983.610026, lowerbound=1285360.610026, norm of subgrad 35.799322	 stepsize= 1.000000 
-dualbound = 3572023.886919, lowerbound=1287554.886919, norm of subgrad 1135.274807	dualbound = 3572023.886919, lowerbound=1287554.886919, norm of subgrad 36.527755	 stepsize= 1.000000 
-dualbound = 3572086.630971, lowerbound=1286459.630971, norm of subgrad 1134.755318	dualbound = 3572086.630971, lowerbound=1286459.630971, norm of subgrad 35.675539	 stepsize= 1.000000 
-dualbound = 3572190.116781, lowerbound=1286594.116781, norm of subgrad 1134.809287	dualbound = 3572190.116781, lowerbound=1286594.116781, norm of subgrad 36.076111	 stepsize= 1.000000 
-dualbound = 3572250.605814, lowerbound=1281584.605814, norm of subgrad 1132.604347	dualbound = 3572250.605814, lowerbound=1281584.605814, norm of subgrad 35.615854	 stepsize= 1.000000 
-dualbound = 3572319.034513, lowerbound=1291187.034513, norm of subgrad 1136.826739	dualbound = 3572319.034513, lowerbound=1291187.034513, norm of subgrad 35.446138	 stepsize= 1.000000 
-dualbound = 3572403.864790, lowerbound=1288641.864790, norm of subgrad 1135.728781	dualbound = 3572403.864790, lowerbound=1288641.864790, norm of subgrad 36.370734	 stepsize= 1.000000 
-dualbound = 3572451.493448, lowerbound=1288302.493448, norm of subgrad 1135.549864	dualbound = 3572451.493448, lowerbound=1288302.493448, norm of subgrad 34.908862	 stepsize= 1.000000 
-dualbound = 3572532.297610, lowerbound=1283587.297610, norm of subgrad 1133.500903	dualbound = 3572532.297610, lowerbound=1283587.297610, norm of subgrad 36.301572	 stepsize= 1.000000 
-dualbound = 3572597.346839, lowerbound=1291460.346839, norm of subgrad 1136.951339	dualbound = 3572597.346839, lowerbound=1291460.346839, norm of subgrad 35.539404	 stepsize= 1.000000 
-dualbound = 3572680.194584, lowerbound=1282721.194584, norm of subgrad 1133.108642	dualbound = 3572680.194584, lowerbound=1282721.194584, norm of subgrad 36.011772	 stepsize= 1.000000 
-dualbound = 3572721.859968, lowerbound=1290228.859968, norm of subgrad 1136.428555	dualbound = 3572721.859968, lowerbound=1290228.859968, norm of subgrad 35.814318	 stepsize= 1.000000 
-dualbound = 3572805.853875, lowerbound=1287334.853875, norm of subgrad 1135.130765	dualbound = 3572805.853875, lowerbound=1287334.853875, norm of subgrad 35.651001	 stepsize= 1.000000 
-dualbound = 3572873.632107, lowerbound=1285361.632107, norm of subgrad 1134.275378	dualbound = 3572873.632107, lowerbound=1285361.632107, norm of subgrad 35.871691	 stepsize= 1.000000 
-dualbound = 3572944.897246, lowerbound=1282980.897246, norm of subgrad 1133.234705	dualbound = 3572944.897246, lowerbound=1282980.897246, norm of subgrad 36.211395	 stepsize= 1.000000 
-dualbound = 3573002.717780, lowerbound=1292613.717780, norm of subgrad 1137.467238	dualbound = 3573002.717780, lowerbound=1292613.717780, norm of subgrad 35.718630	 stepsize= 1.000000 
-dualbound = 3573087.127602, lowerbound=1285592.127602, norm of subgrad 1134.378300	dualbound = 3573087.127602, lowerbound=1285592.127602, norm of subgrad 36.144292	 stepsize= 1.000000 
-dualbound = 3573142.194383, lowerbound=1285905.194383, norm of subgrad 1134.535673	dualbound = 3573142.194383, lowerbound=1285905.194383, norm of subgrad 36.346482	 stepsize= 1.000000 
-dualbound = 3573229.706042, lowerbound=1284616.706042, norm of subgrad 1133.950928	dualbound = 3573229.706042, lowerbound=1284616.706042, norm of subgrad 36.269983	 stepsize= 1.000000 
-dualbound = 3573263.668505, lowerbound=1287764.668505, norm of subgrad 1135.337249	dualbound = 3573263.668505, lowerbound=1287764.668505, norm of subgrad 35.495950	 stepsize= 1.000000 
-dualbound = 3573364.724654, lowerbound=1282953.724654, norm of subgrad 1133.207273	dualbound = 3573364.724654, lowerbound=1282953.724654, norm of subgrad 36.139399	 stepsize= 1.000000 
-dualbound = 3573425.920197, lowerbound=1290181.920197, norm of subgrad 1136.408342	dualbound = 3573425.920197, lowerbound=1290181.920197, norm of subgrad 36.099800	 stepsize= 1.000000 
-dualbound = 3573491.398363, lowerbound=1286647.398363, norm of subgrad 1134.874618	dualbound = 3573491.398363, lowerbound=1286647.398363, norm of subgrad 36.857539	 stepsize= 1.000000 
-dualbound = 3573542.965137, lowerbound=1286774.965137, norm of subgrad 1134.915400	dualbound = 3573542.965137, lowerbound=1286774.965137, norm of subgrad 36.187937	 stepsize= 1.000000 
-dualbound = 3573664.892036, lowerbound=1286748.892036, norm of subgrad 1134.903032	dualbound = 3573664.892036, lowerbound=1286748.892036, norm of subgrad 37.120438	 stepsize= 1.000000 
-dualbound = 3573701.686369, lowerbound=1287960.686369, norm of subgrad 1135.425773	dualbound = 3573701.686369, lowerbound=1287960.686369, norm of subgrad 35.606100	 stepsize= 1.000000 
-dualbound = 3573788.024334, lowerbound=1280503.024334, norm of subgrad 1132.117937	dualbound = 3573788.024334, lowerbound=1280503.024334, norm of subgrad 35.697871	 stepsize= 1.000000 
-dualbound = 3573857.358846, lowerbound=1290898.358846, norm of subgrad 1136.713402	dualbound = 3573857.358846, lowerbound=1290898.358846, norm of subgrad 35.893377	 stepsize= 1.000000 
-dualbound = 3573920.530478, lowerbound=1284215.530478, norm of subgrad 1133.753734	dualbound = 3573920.530478, lowerbound=1284215.530478, norm of subgrad 35.286990	 stepsize= 1.000000 
-dualbound = 3573980.304396, lowerbound=1283704.304396, norm of subgrad 1133.560455	dualbound = 3573980.304396, lowerbound=1283704.304396, norm of subgrad 36.259811	 stepsize= 1.000000 
-dualbound = 3574038.993514, lowerbound=1283827.993514, norm of subgrad 1133.601338	dualbound = 3574038.993514, lowerbound=1283827.993514, norm of subgrad 35.814649	 stepsize= 1.000000 
-dualbound = 3574148.155816, lowerbound=1289904.155816, norm of subgrad 1136.234199	dualbound = 3574148.155816, lowerbound=1289904.155816, norm of subgrad 35.116411	 stepsize= 1.000000 
-dualbound = 3574219.920670, lowerbound=1287546.920670, norm of subgrad 1135.238706	dualbound = 3574219.920670, lowerbound=1287546.920670, norm of subgrad 35.941130	 stepsize= 1.000000 
-dualbound = 3574272.515242, lowerbound=1288227.515242, norm of subgrad 1135.541948	dualbound = 3574272.515242, lowerbound=1288227.515242, norm of subgrad 35.785396	 stepsize= 1.000000 
-dualbound = 3574346.801249, lowerbound=1285997.801249, norm of subgrad 1134.557976	dualbound = 3574346.801249, lowerbound=1285997.801249, norm of subgrad 36.031736	 stepsize= 1.000000 
-dualbound = 3574399.785442, lowerbound=1284282.785442, norm of subgrad 1133.811618	dualbound = 3574399.785442, lowerbound=1284282.785442, norm of subgrad 36.041423	 stepsize= 1.000000 
-dualbound = 3574485.121845, lowerbound=1287407.121845, norm of subgrad 1135.148062	dualbound = 3574485.121845, lowerbound=1287407.121845, norm of subgrad 35.204210	 stepsize= 1.000000 
-dualbound = 3574578.176563, lowerbound=1285822.176563, norm of subgrad 1134.465150	dualbound = 3574578.176563, lowerbound=1285822.176563, norm of subgrad 35.805792	 stepsize= 1.000000 
-dualbound = 3574642.518862, lowerbound=1289580.518862, norm of subgrad 1136.126982	dualbound = 3574642.518862, lowerbound=1289580.518862, norm of subgrad 35.613794	 stepsize= 1.000000 
-dualbound = 3574694.390527, lowerbound=1290086.390527, norm of subgrad 1136.332430	dualbound = 3574694.390527, lowerbound=1290086.390527, norm of subgrad 34.883688	 stepsize= 1.000000 
-dualbound = 3574778.704081, lowerbound=1285875.704081, norm of subgrad 1134.516507	dualbound = 3574778.704081, lowerbound=1285875.704081, norm of subgrad 36.555623	 stepsize= 1.000000 
-dualbound = 3574814.877980, lowerbound=1286988.877980, norm of subgrad 1134.999946	dualbound = 3574814.877980, lowerbound=1286988.877980, norm of subgrad 35.667547	 stepsize= 1.000000 
-dualbound = 3574910.056402, lowerbound=1284787.056402, norm of subgrad 1134.027802	dualbound = 3574910.056402, lowerbound=1284787.056402, norm of subgrad 36.430460	 stepsize= 1.000000 
-dualbound = 3574936.358850, lowerbound=1285690.358850, norm of subgrad 1134.433938	dualbound = 3574936.358850, lowerbound=1285690.358850, norm of subgrad 35.725375	 stepsize= 1.000000 
-dualbound = 3575054.088888, lowerbound=1289719.088888, norm of subgrad 1136.187524	dualbound = 3575054.088888, lowerbound=1289719.088888, norm of subgrad 36.341850	 stepsize= 1.000000 
-dualbound = 3575101.904245, lowerbound=1283999.904245, norm of subgrad 1133.690833	dualbound = 3575101.904245, lowerbound=1283999.904245, norm of subgrad 36.094534	 stepsize= 1.000000 
-dualbound = 3575176.665858, lowerbound=1291850.665858, norm of subgrad 1137.101871	dualbound = 3575176.665858, lowerbound=1291850.665858, norm of subgrad 34.996594	 stepsize= 1.000000 
-dualbound = 3575276.910435, lowerbound=1286432.910435, norm of subgrad 1134.739578	dualbound = 3575276.910435, lowerbound=1286432.910435, norm of subgrad 36.072768	 stepsize= 1.000000 
-dualbound = 3575324.782873, lowerbound=1281226.782873, norm of subgrad 1132.434891	dualbound = 3575324.782873, lowerbound=1281226.782873, norm of subgrad 35.069537	 stepsize= 1.000000 
-dualbound = 3575409.042843, lowerbound=1286936.042843, norm of subgrad 1134.933497	dualbound = 3575409.042843, lowerbound=1286936.042843, norm of subgrad 34.960835	 stepsize= 1.000000 
-dualbound = 3575491.468319, lowerbound=1288452.468319, norm of subgrad 1135.592122	dualbound = 3575491.468319, lowerbound=1288452.468319, norm of subgrad 34.632723	 stepsize= 1.000000 
-dualbound = 3575560.537967, lowerbound=1284545.537967, norm of subgrad 1133.900145	dualbound = 3575560.537967, lowerbound=1284545.537967, norm of subgrad 35.398724	 stepsize= 1.000000 
-dualbound = 3575611.580581, lowerbound=1284186.580581, norm of subgrad 1133.768751	dualbound = 3575611.580581, lowerbound=1284186.580581, norm of subgrad 36.000592	 stepsize= 1.000000 
-dualbound = 3575669.351803, lowerbound=1288427.351803, norm of subgrad 1135.647988	dualbound = 3575669.351803, lowerbound=1288427.351803, norm of subgrad 36.424871	 stepsize= 1.000000 
-dualbound = 3575736.390702, lowerbound=1288110.390702, norm of subgrad 1135.471880	dualbound = 3575736.390702, lowerbound=1288110.390702, norm of subgrad 35.398289	 stepsize= 1.000000 
-dualbound = 3575824.661741, lowerbound=1280534.661741, norm of subgrad 1132.131027	dualbound = 3575824.661741, lowerbound=1280534.661741, norm of subgrad 35.696933	 stepsize= 1.000000 
-dualbound = 3575898.962646, lowerbound=1288746.962646, norm of subgrad 1135.737189	dualbound = 3575898.962646, lowerbound=1288746.962646, norm of subgrad 35.018579	 stepsize= 1.000000 
-dualbound = 3575938.781896, lowerbound=1286427.781896, norm of subgrad 1134.772568	dualbound = 3575938.781896, lowerbound=1286427.781896, norm of subgrad 36.343077	 stepsize= 1.000000 
-dualbound = 3576024.988747, lowerbound=1289777.988747, norm of subgrad 1136.202882	dualbound = 3576024.988747, lowerbound=1289777.988747, norm of subgrad 35.569746	 stepsize= 1.000000 
-dualbound = 3576087.427536, lowerbound=1286043.427536, norm of subgrad 1134.588219	dualbound = 3576087.427536, lowerbound=1286043.427536, norm of subgrad 36.186168	 stepsize= 1.000000 
-dualbound = 3576173.048111, lowerbound=1288078.048111, norm of subgrad 1135.436061	dualbound = 3576173.048111, lowerbound=1288078.048111, norm of subgrad 34.965992	 stepsize= 1.000000 
-dualbound = 3576234.425289, lowerbound=1285173.425289, norm of subgrad 1134.198583	dualbound = 3576234.425289, lowerbound=1285173.425289, norm of subgrad 35.977454	 stepsize= 1.000000 
-dualbound = 3576304.200792, lowerbound=1291587.200792, norm of subgrad 1137.038346	dualbound = 3576304.200792, lowerbound=1291587.200792, norm of subgrad 36.589281	 stepsize= 1.000000 
-dualbound = 3576357.241407, lowerbound=1282109.241407, norm of subgrad 1132.835046	dualbound = 3576357.241407, lowerbound=1282109.241407, norm of subgrad 35.482962	 stepsize= 1.000000 
-dualbound = 3576468.906984, lowerbound=1291353.906984, norm of subgrad 1136.888256	dualbound = 3576468.906984, lowerbound=1291353.906984, norm of subgrad 35.674439	 stepsize= 1.000000 
-dualbound = 3576512.956123, lowerbound=1287412.956123, norm of subgrad 1135.189833	dualbound = 3576512.956123, lowerbound=1287412.956123, norm of subgrad 35.875467	 stepsize= 1.000000 
-dualbound = 3576570.570807, lowerbound=1290691.570807, norm of subgrad 1136.624639	dualbound = 3576570.570807, lowerbound=1290691.570807, norm of subgrad 35.799646	 stepsize= 1.000000 
-dualbound = 3576626.754203, lowerbound=1284413.754203, norm of subgrad 1133.841591	dualbound = 3576626.754203, lowerbound=1284413.754203, norm of subgrad 35.202037	 stepsize= 1.000000 
-dualbound = 3576739.640503, lowerbound=1291975.640503, norm of subgrad 1137.149348	dualbound = 3576739.640503, lowerbound=1291975.640503, norm of subgrad 35.297115	 stepsize= 1.000000 
-dualbound = 3576815.028127, lowerbound=1283664.028127, norm of subgrad 1133.484904	dualbound = 3576815.028127, lowerbound=1283664.028127, norm of subgrad 34.632176	 stepsize= 1.000000 
-dualbound = 3576862.294814, lowerbound=1288598.294814, norm of subgrad 1135.718845	dualbound = 3576862.294814, lowerbound=1288598.294814, norm of subgrad 36.142312	 stepsize= 1.000000 
-dualbound = 3576892.647629, lowerbound=1287765.647629, norm of subgrad 1135.351773	dualbound = 3576892.647629, lowerbound=1287765.647629, norm of subgrad 35.893632	 stepsize= 1.000000 
-dualbound = 3576993.260091, lowerbound=1290095.260091, norm of subgrad 1136.370653	dualbound = 3576993.260091, lowerbound=1290095.260091, norm of subgrad 36.655320	 stepsize= 1.000000 
-dualbound = 3577040.519157, lowerbound=1289267.519157, norm of subgrad 1135.989225	dualbound = 3577040.519157, lowerbound=1289267.519157, norm of subgrad 35.373140	 stepsize= 1.000000 
-dualbound = 3577148.039726, lowerbound=1290157.039726, norm of subgrad 1136.367476	dualbound = 3577148.039726, lowerbound=1290157.039726, norm of subgrad 35.798332	 stepsize= 1.000000 
-dualbound = 3577205.068566, lowerbound=1284567.068566, norm of subgrad 1133.908757	dualbound = 3577205.068566, lowerbound=1284567.068566, norm of subgrad 35.199841	 stepsize= 1.000000 
-dualbound = 3577274.702070, lowerbound=1291582.702070, norm of subgrad 1137.052638	dualbound = 3577274.702070, lowerbound=1291582.702070, norm of subgrad 37.089534	 stepsize= 1.000000 
-dualbound = 3577295.377301, lowerbound=1291676.377301, norm of subgrad 1137.065248	dualbound = 3577295.377301, lowerbound=1291676.377301, norm of subgrad 35.520068	 stepsize= 1.000000 
-dualbound = 3577408.707560, lowerbound=1287126.707560, norm of subgrad 1135.044364	dualbound = 3577408.707560, lowerbound=1287126.707560, norm of subgrad 36.226099	 stepsize= 1.000000 
-dualbound = 3577473.170077, lowerbound=1290106.170077, norm of subgrad 1136.367973	dualbound = 3577473.170077, lowerbound=1290106.170077, norm of subgrad 35.923008	 stepsize= 1.000000 
-dualbound = 3577536.914820, lowerbound=1283093.914820, norm of subgrad 1133.281481	dualbound = 3577536.914820, lowerbound=1283093.914820, norm of subgrad 36.010342	 stepsize= 1.000000 
-dualbound = 3577568.392000, lowerbound=1285376.392000, norm of subgrad 1134.318029	dualbound = 3577568.392000, lowerbound=1285376.392000, norm of subgrad 36.503112	 stepsize= 1.000000 
-dualbound = 3577690.189340, lowerbound=1285661.189340, norm of subgrad 1134.392873	dualbound = 3577690.189340, lowerbound=1285661.189340, norm of subgrad 36.163481	 stepsize= 1.000000 
-dualbound = 3577767.311429, lowerbound=1285523.311429, norm of subgrad 1134.319757	dualbound = 3577767.311429, lowerbound=1285523.311429, norm of subgrad 35.144304	 stepsize= 1.000000 
-dualbound = 3577841.058448, lowerbound=1283019.058448, norm of subgrad 1133.212715	dualbound = 3577841.058448, lowerbound=1283019.058448, norm of subgrad 35.010670	 stepsize= 1.000000 
-dualbound = 3577909.549779, lowerbound=1285159.549779, norm of subgrad 1134.203487	dualbound = 3577909.549779, lowerbound=1285159.549779, norm of subgrad 36.421029	 stepsize= 1.000000 
-dualbound = 3577952.547519, lowerbound=1289978.547519, norm of subgrad 1136.340859	dualbound = 3577952.547519, lowerbound=1289978.547519, norm of subgrad 36.537621	 stepsize= 1.000000 
-dualbound = 3578014.672304, lowerbound=1286847.672304, norm of subgrad 1134.925844	dualbound = 3578014.672304, lowerbound=1286847.672304, norm of subgrad 35.652837	 stepsize= 1.000000 
-dualbound = 3578112.776693, lowerbound=1290868.776693, norm of subgrad 1136.687634	dualbound = 3578112.776693, lowerbound=1290868.776693, norm of subgrad 35.890171	 stepsize= 1.000000 
-dualbound = 3578162.369375, lowerbound=1285335.369375, norm of subgrad 1134.247490	dualbound = 3578162.369375, lowerbound=1285335.369375, norm of subgrad 35.094055	 stepsize= 1.000000 
-dualbound = 3578267.294943, lowerbound=1283703.294943, norm of subgrad 1133.540601	dualbound = 3578267.294943, lowerbound=1283703.294943, norm of subgrad 36.275688	 stepsize= 1.000000 
-dualbound = 3578299.810017, lowerbound=1286859.810017, norm of subgrad 1134.919737	dualbound = 3578299.810017, lowerbound=1286859.810017, norm of subgrad 34.864238	 stepsize= 1.000000 
-dualbound = 3578381.465604, lowerbound=1287872.465604, norm of subgrad 1135.378996	dualbound = 3578381.465604, lowerbound=1287872.465604, norm of subgrad 35.981323	 stepsize= 1.000000 
-dualbound = 3578460.547345, lowerbound=1284617.547345, norm of subgrad 1133.936307	dualbound = 3578460.547345, lowerbound=1284617.547345, norm of subgrad 35.680271	 stepsize= 1.000000 
-dualbound = 3578528.227080, lowerbound=1288944.227080, norm of subgrad 1135.847801	dualbound = 3578528.227080, lowerbound=1288944.227080, norm of subgrad 35.688650	 stepsize= 1.000000 
-dualbound = 3578577.173241, lowerbound=1291978.173241, norm of subgrad 1137.194431	dualbound = 3578577.173241, lowerbound=1291978.173241, norm of subgrad 35.804276	 stepsize= 1.000000 
-dualbound = 3578654.005517, lowerbound=1286575.005517, norm of subgrad 1134.825099	dualbound = 3578654.005517, lowerbound=1286575.005517, norm of subgrad 36.466865	 stepsize= 1.000000 
-dualbound = 3578720.936611, lowerbound=1287050.936611, norm of subgrad 1135.051513	dualbound = 3578720.936611, lowerbound=1287050.936611, norm of subgrad 36.850117	 stepsize= 1.000000 
-dualbound = 3578793.601272, lowerbound=1287442.601272, norm of subgrad 1135.202890	dualbound = 3578793.601272, lowerbound=1287442.601272, norm of subgrad 36.272092	 stepsize= 1.000000 
-dualbound = 3578866.573500, lowerbound=1284471.573500, norm of subgrad 1133.891782	dualbound = 3578866.573500, lowerbound=1284471.573500, norm of subgrad 36.221157	 stepsize= 1.000000 
-dualbound = 3578926.835747, lowerbound=1287016.835747, norm of subgrad 1135.003452	dualbound = 3578926.835747, lowerbound=1287016.835747, norm of subgrad 35.724813	 stepsize= 1.000000 
-dualbound = 3579027.461982, lowerbound=1288705.461982, norm of subgrad 1135.714076	dualbound = 3579027.461982, lowerbound=1288705.461982, norm of subgrad 35.236717	 stepsize= 1.000000 
-dualbound = 3579097.244622, lowerbound=1281304.244622, norm of subgrad 1132.478805	dualbound = 3579097.244622, lowerbound=1281304.244622, norm of subgrad 35.690092	 stepsize= 1.000000 
-dualbound = 3579154.696009, lowerbound=1292787.696009, norm of subgrad 1137.541074	dualbound = 3579154.696009, lowerbound=1292787.696009, norm of subgrad 35.629361	 stepsize= 1.000000 
-dualbound = 3579226.168456, lowerbound=1285275.168456, norm of subgrad 1134.238145	dualbound = 3579226.168456, lowerbound=1285275.168456, norm of subgrad 35.950973	 stepsize= 1.000000 
-dualbound = 3579286.843352, lowerbound=1290906.843352, norm of subgrad 1136.685024	dualbound = 3579286.843352, lowerbound=1290906.843352, norm of subgrad 34.737226	 stepsize= 1.000000 
-dualbound = 3579383.892888, lowerbound=1278878.892888, norm of subgrad 1131.433115	dualbound = 3579383.892888, lowerbound=1278878.892888, norm of subgrad 36.865289	 stepsize= 1.000000 
-dualbound = 3579381.421664, lowerbound=1291080.421664, norm of subgrad 1136.849780	dualbound = 3579381.421664, lowerbound=1291080.421664, norm of subgrad 36.667817	 stepsize= 1.000000 
-dualbound = 3579464.978454, lowerbound=1281807.978454, norm of subgrad 1132.716636	dualbound = 3579464.978454, lowerbound=1281807.978454, norm of subgrad 36.366974	 stepsize= 1.000000 
-dualbound = 3579562.563369, lowerbound=1292412.563369, norm of subgrad 1137.371339	dualbound = 3579562.563369, lowerbound=1292412.563369, norm of subgrad 36.035884	 stepsize= 1.000000 
-dualbound = 3579629.638696, lowerbound=1282262.638696, norm of subgrad 1132.920403	dualbound = 3579629.638696, lowerbound=1282262.638696, norm of subgrad 36.236381	 stepsize= 1.000000 
-dualbound = 3579685.150170, lowerbound=1289248.150170, norm of subgrad 1136.017672	dualbound = 3579685.150170, lowerbound=1289248.150170, norm of subgrad 36.653942	 stepsize= 1.000000 
-dualbound = 3579750.039507, lowerbound=1278539.039507, norm of subgrad 1131.270984	dualbound = 3579750.039507, lowerbound=1278539.039507, norm of subgrad 36.053978	 stepsize= 1.000000 
-dualbound = 3579835.734836, lowerbound=1288219.734836, norm of subgrad 1135.548649	dualbound = 3579835.734836, lowerbound=1288219.734836, norm of subgrad 36.560844	 stepsize= 1.000000 
-dualbound = 3579913.706510, lowerbound=1282398.706510, norm of subgrad 1132.966772	dualbound = 3579913.706510, lowerbound=1282398.706510, norm of subgrad 35.957915	 stepsize= 1.000000 
-dualbound = 3580012.018138, lowerbound=1289942.018138, norm of subgrad 1136.286944	dualbound = 3580012.018138, lowerbound=1289942.018138, norm of subgrad 36.115255	 stepsize= 1.000000 
-dualbound = 3580072.153821, lowerbound=1283579.153821, norm of subgrad 1133.477020	dualbound = 3580072.153821, lowerbound=1283579.153821, norm of subgrad 35.371396	 stepsize= 1.000000 
-dualbound = 3580149.065795, lowerbound=1287142.065795, norm of subgrad 1135.007958	dualbound = 3580149.065795, lowerbound=1287142.065795, norm of subgrad 34.320722	 stepsize= 1.000000 
-dualbound = 3580232.795372, lowerbound=1284985.795372, norm of subgrad 1134.080154	dualbound = 3580232.795372, lowerbound=1284985.795372, norm of subgrad 35.152945	 stepsize= 1.000000 
-dualbound = 3580278.806186, lowerbound=1284741.806186, norm of subgrad 1134.002560	dualbound = 3580278.806186, lowerbound=1284741.806186, norm of subgrad 35.581046	 stepsize= 1.000000 
-dualbound = 3580341.761881, lowerbound=1286242.761881, norm of subgrad 1134.659756	dualbound = 3580341.761881, lowerbound=1286242.761881, norm of subgrad 35.678505	 stepsize= 1.000000 
-dualbound = 3580426.137683, lowerbound=1286346.137683, norm of subgrad 1134.685480	dualbound = 3580426.137683, lowerbound=1286346.137683, norm of subgrad 35.346510	 stepsize= 1.000000 
-dualbound = 3580491.213546, lowerbound=1288799.213546, norm of subgrad 1135.792769	dualbound = 3580491.213546, lowerbound=1288799.213546, norm of subgrad 35.931544	 stepsize= 1.000000 
-dualbound = 3580543.781696, lowerbound=1287942.781696, norm of subgrad 1135.429778	dualbound = 3580543.781696, lowerbound=1287942.781696, norm of subgrad 36.201770	 stepsize= 1.000000 
-dualbound = 3580618.771965, lowerbound=1287325.771965, norm of subgrad 1135.107383	dualbound = 3580618.771965, lowerbound=1287325.771965, norm of subgrad 34.899717	 stepsize= 1.000000 
-dualbound = 3580706.910581, lowerbound=1289859.910581, norm of subgrad 1136.231451	dualbound = 3580706.910581, lowerbound=1289859.910581, norm of subgrad 35.357299	 stepsize= 1.000000 
-dualbound = 3580760.214479, lowerbound=1285693.214479, norm of subgrad 1134.417566	dualbound = 3580760.214479, lowerbound=1285693.214479, norm of subgrad 35.542987	 stepsize= 1.000000 
-dualbound = 3580825.463008, lowerbound=1288597.463008, norm of subgrad 1135.697347	dualbound = 3580825.463008, lowerbound=1288597.463008, norm of subgrad 35.724621	 stepsize= 1.000000 
-dualbound = 3580885.480047, lowerbound=1292604.480047, norm of subgrad 1137.456584	dualbound = 3580885.480047, lowerbound=1292604.480047, norm of subgrad 35.538951	 stepsize= 1.000000 
-dualbound = 3580981.993510, lowerbound=1288309.993510, norm of subgrad 1135.563293	dualbound = 3580981.993510, lowerbound=1288309.993510, norm of subgrad 35.923717	 stepsize= 1.000000 
-dualbound = 3581021.724152, lowerbound=1285102.724152, norm of subgrad 1134.168296	dualbound = 3581021.724152, lowerbound=1285102.724152, norm of subgrad 35.703370	 stepsize= 1.000000 
-dualbound = 3581109.318606, lowerbound=1291003.318606, norm of subgrad 1136.760009	dualbound = 3581109.318606, lowerbound=1291003.318606, norm of subgrad 36.160676	 stepsize= 1.000000 
-dualbound = 3581153.114261, lowerbound=1290110.114261, norm of subgrad 1136.379388	dualbound = 3581153.114261, lowerbound=1290110.114261, norm of subgrad 35.941559	 stepsize= 1.000000 
-dualbound = 3581240.958730, lowerbound=1282405.958730, norm of subgrad 1132.976592	dualbound = 3581240.958730, lowerbound=1282405.958730, norm of subgrad 36.302128	 stepsize= 1.000000 
-dualbound = 3581299.672800, lowerbound=1286029.672800, norm of subgrad 1134.615209	dualbound = 3581299.672800, lowerbound=1286029.672800, norm of subgrad 37.157961	 stepsize= 1.000000 
-dualbound = 3581349.467849, lowerbound=1284448.467849, norm of subgrad 1133.893058	dualbound = 3581349.467849, lowerbound=1284448.467849, norm of subgrad 36.260103	 stepsize= 1.000000 
-dualbound = 3581464.348649, lowerbound=1289938.348649, norm of subgrad 1136.276968	dualbound = 3581464.348649, lowerbound=1289938.348649, norm of subgrad 36.081585	 stepsize= 1.000000 
-dualbound = 3581539.211490, lowerbound=1283691.211490, norm of subgrad 1133.534389	dualbound = 3581539.211490, lowerbound=1283691.211490, norm of subgrad 35.831032	 stepsize= 1.000000 
-dualbound = 3581591.138180, lowerbound=1288601.138180, norm of subgrad 1135.713053	dualbound = 3581591.138180, lowerbound=1288601.138180, norm of subgrad 35.985090	 stepsize= 1.000000 
-dualbound = 3581654.562114, lowerbound=1285577.562114, norm of subgrad 1134.351163	dualbound = 3581654.562114, lowerbound=1285577.562114, norm of subgrad 35.191248	 stepsize= 1.000000 
-dualbound = 3581754.166873, lowerbound=1287289.166873, norm of subgrad 1135.109760	dualbound = 3581754.166873, lowerbound=1287289.166873, norm of subgrad 35.841383	 stepsize= 1.000000 
-dualbound = 3581801.361883, lowerbound=1285467.361883, norm of subgrad 1134.286719	dualbound = 3581801.361883, lowerbound=1285467.361883, norm of subgrad 34.441182	 stepsize= 1.000000 
-dualbound = 3581892.141776, lowerbound=1289692.141776, norm of subgrad 1136.147500	dualbound = 3581892.141776, lowerbound=1289692.141776, norm of subgrad 35.068218	 stepsize= 1.000000 
-dualbound = 3581969.339384, lowerbound=1285152.339384, norm of subgrad 1134.164600	dualbound = 3581969.339384, lowerbound=1285152.339384, norm of subgrad 35.414652	 stepsize= 1.000000 
-dualbound = 3582007.886984, lowerbound=1288471.886984, norm of subgrad 1135.618724	dualbound = 3582007.886984, lowerbound=1288471.886984, norm of subgrad 34.591149	 stepsize= 1.000000 
-dualbound = 3582091.816209, lowerbound=1289468.816209, norm of subgrad 1136.072100	dualbound = 3582091.816209, lowerbound=1289468.816209, norm of subgrad 35.706151	 stepsize= 1.000000 
-dualbound = 3582127.521482, lowerbound=1290051.521482, norm of subgrad 1136.353608	dualbound = 3582127.521482, lowerbound=1290051.521482, norm of subgrad 35.828833	 stepsize= 1.000000 
-dualbound = 3582214.320948, lowerbound=1285049.320948, norm of subgrad 1134.124914	dualbound = 3582214.320948, lowerbound=1285049.320948, norm of subgrad 35.732331	 stepsize= 1.000000 
-dualbound = 3582279.734401, lowerbound=1286485.734401, norm of subgrad 1134.776513	dualbound = 3582279.734401, lowerbound=1286485.734401, norm of subgrad 36.019626	 stepsize= 1.000000 
-dualbound = 3582359.451182, lowerbound=1288113.451182, norm of subgrad 1135.497887	dualbound = 3582359.451182, lowerbound=1288113.451182, norm of subgrad 36.355423	 stepsize= 1.000000 
-dualbound = 3582411.235155, lowerbound=1288929.235155, norm of subgrad 1135.876857	dualbound = 3582411.235155, lowerbound=1288929.235155, norm of subgrad 36.589397	 stepsize= 1.000000 
-dualbound = 3582488.495987, lowerbound=1284784.495987, norm of subgrad 1134.027555	dualbound = 3582488.495987, lowerbound=1284784.495987, norm of subgrad 36.211336	 stepsize= 1.000000 
-dualbound = 3582525.423493, lowerbound=1291004.423493, norm of subgrad 1136.784247	dualbound = 3582525.423493, lowerbound=1291004.423493, norm of subgrad 36.206733	 stepsize= 1.000000 
-dualbound = 3582625.341468, lowerbound=1281666.341468, norm of subgrad 1132.651465	dualbound = 3582625.341468, lowerbound=1281666.341468, norm of subgrad 36.509149	 stepsize= 1.000000 
-dualbound = 3582700.314840, lowerbound=1290550.314840, norm of subgrad 1136.589334	dualbound = 3582700.314840, lowerbound=1290550.314840, norm of subgrad 36.877817	 stepsize= 1.000000 
-dualbound = 3582751.221981, lowerbound=1285254.221981, norm of subgrad 1134.242136	dualbound = 3582751.221981, lowerbound=1285254.221981, norm of subgrad 36.081950	 stepsize= 1.000000 
-dualbound = 3582844.632584, lowerbound=1285671.632584, norm of subgrad 1134.397916	dualbound = 3582844.632584, lowerbound=1285671.632584, norm of subgrad 35.782826	 stepsize= 1.000000 
-dualbound = 3582914.170031, lowerbound=1285946.170031, norm of subgrad 1134.521560	dualbound = 3582914.170031, lowerbound=1285946.170031, norm of subgrad 35.532203	 stepsize= 1.000000 
-dualbound = 3582984.310510, lowerbound=1293618.310510, norm of subgrad 1137.896441	dualbound = 3582984.310510, lowerbound=1293618.310510, norm of subgrad 35.498457	 stepsize= 1.000000 
-dualbound = 3583060.928379, lowerbound=1285990.928379, norm of subgrad 1134.544370	dualbound = 3583060.928379, lowerbound=1285990.928379, norm of subgrad 35.729790	 stepsize= 1.000000 
-dualbound = 3583133.078743, lowerbound=1289653.078743, norm of subgrad 1136.144392	dualbound = 3583133.078743, lowerbound=1289653.078743, norm of subgrad 35.258338	 stepsize= 1.000000 
-dualbound = 3583193.962789, lowerbound=1286875.962789, norm of subgrad 1134.941832	dualbound = 3583193.962789, lowerbound=1286875.962789, norm of subgrad 35.747504	 stepsize= 1.000000 
-dualbound = 3583244.853949, lowerbound=1289581.853949, norm of subgrad 1136.133731	dualbound = 3583244.853949, lowerbound=1289581.853949, norm of subgrad 35.621499	 stepsize= 1.000000 
-dualbound = 3583324.464821, lowerbound=1289876.464821, norm of subgrad 1136.282740	dualbound = 3583324.464821, lowerbound=1289876.464821, norm of subgrad 36.628007	 stepsize= 1.000000 
-dualbound = 3583385.546711, lowerbound=1291475.546711, norm of subgrad 1136.987487	dualbound = 3583385.546711, lowerbound=1291475.546711, norm of subgrad 36.415407	 stepsize= 1.000000 
-dualbound = 3583461.074450, lowerbound=1288295.074450, norm of subgrad 1135.607800	dualbound = 3583461.074450, lowerbound=1288295.074450, norm of subgrad 37.222678	 stepsize= 1.000000 
-dualbound = 3583504.130180, lowerbound=1290746.130180, norm of subgrad 1136.664916	dualbound = 3583504.130180, lowerbound=1290746.130180, norm of subgrad 36.111712	 stepsize= 1.000000 
-dualbound = 3583613.790822, lowerbound=1284125.790822, norm of subgrad 1133.703132	dualbound = 3583613.790822, lowerbound=1284125.790822, norm of subgrad 35.590176	 stepsize= 1.000000 
-dualbound = 3583698.076542, lowerbound=1289282.076542, norm of subgrad 1136.017199	dualbound = 3583698.076542, lowerbound=1289282.076542, norm of subgrad 36.568917	 stepsize= 1.000000 
-dualbound = 3583734.594466, lowerbound=1287519.594466, norm of subgrad 1135.233718	dualbound = 3583734.594466, lowerbound=1287519.594466, norm of subgrad 35.672369	 stepsize= 1.000000 
-dualbound = 3583807.444786, lowerbound=1285034.444786, norm of subgrad 1134.133345	dualbound = 3583807.444786, lowerbound=1285034.444786, norm of subgrad 36.011808	 stepsize= 1.000000 
-dualbound = 3583888.409586, lowerbound=1285115.409586, norm of subgrad 1134.153609	dualbound = 3583888.409586, lowerbound=1285115.409586, norm of subgrad 35.636565	 stepsize= 1.000000 
-dualbound = 3583965.204831, lowerbound=1291602.204831, norm of subgrad 1137.007566	dualbound = 3583965.204831, lowerbound=1291602.204831, norm of subgrad 35.507679	 stepsize= 1.000000 
-dualbound = 3584029.620181, lowerbound=1289069.620181, norm of subgrad 1135.888032	dualbound = 3584029.620181, lowerbound=1289069.620181, norm of subgrad 35.162698	 stepsize= 1.000000 
-dualbound = 3584104.698282, lowerbound=1286694.698282, norm of subgrad 1134.846112	dualbound = 3584104.698282, lowerbound=1286694.698282, norm of subgrad 35.441192	 stepsize= 1.000000 
-dualbound = 3584165.389054, lowerbound=1285371.389054, norm of subgrad 1134.277034	dualbound = 3584165.389054, lowerbound=1285371.389054, norm of subgrad 35.688805	 stepsize= 1.000000 
-dualbound = 3584236.224135, lowerbound=1286983.224135, norm of subgrad 1134.966618	dualbound = 3584236.224135, lowerbound=1286983.224135, norm of subgrad 35.168666	 stepsize= 1.000000 
-dualbound = 3584307.566179, lowerbound=1284467.566179, norm of subgrad 1133.856061	dualbound = 3584307.566179, lowerbound=1284467.566179, norm of subgrad 35.118970	 stepsize= 1.000000 
-dualbound = 3584394.364692, lowerbound=1286712.364692, norm of subgrad 1134.875044	dualbound = 3584394.364692, lowerbound=1286712.364692, norm of subgrad 36.273937	 stepsize= 1.000000 
-dualbound = 3584424.068804, lowerbound=1284988.068804, norm of subgrad 1134.121717	dualbound = 3584424.068804, lowerbound=1284988.068804, norm of subgrad 35.688991	 stepsize= 1.000000 
-dualbound = 3584510.053631, lowerbound=1284933.053631, norm of subgrad 1134.074095	dualbound = 3584510.053631, lowerbound=1284933.053631, norm of subgrad 35.734924	 stepsize= 1.000000 
-dualbound = 3584582.746001, lowerbound=1287556.746001, norm of subgrad 1135.251843	dualbound = 3584582.746001, lowerbound=1287556.746001, norm of subgrad 36.231097	 stepsize= 1.000000 
-dualbound = 3584628.471187, lowerbound=1287601.471187, norm of subgrad 1135.263173	dualbound = 3584628.471187, lowerbound=1287601.471187, norm of subgrad 35.591083	 stepsize= 1.000000 
-dualbound = 3584725.784261, lowerbound=1290604.784261, norm of subgrad 1136.569305	dualbound = 3584725.784261, lowerbound=1290604.784261, norm of subgrad 35.809399	 stepsize= 1.000000 
-dualbound = 3584790.727067, lowerbound=1285759.727067, norm of subgrad 1134.435863	dualbound = 3584790.727067, lowerbound=1285759.727067, norm of subgrad 35.354530	 stepsize= 1.000000 
-dualbound = 3584830.267603, lowerbound=1290783.267603, norm of subgrad 1136.695767	dualbound = 3584830.267603, lowerbound=1290783.267603, norm of subgrad 36.517674	 stepsize= 1.000000 
-dualbound = 3584915.466534, lowerbound=1291991.466534, norm of subgrad 1137.220500	dualbound = 3584915.466534, lowerbound=1291991.466534, norm of subgrad 36.935064	 stepsize= 1.000000 
-dualbound = 3585006.863936, lowerbound=1285108.863936, norm of subgrad 1134.146315	dualbound = 3585006.863936, lowerbound=1285108.863936, norm of subgrad 35.642635	 stepsize= 1.000000 
-dualbound = 3585065.753919, lowerbound=1291622.753919, norm of subgrad 1137.025397	dualbound = 3585065.753919, lowerbound=1291622.753919, norm of subgrad 35.537163	 stepsize= 1.000000 
-dualbound = 3585159.607152, lowerbound=1282664.607152, norm of subgrad 1133.070433	dualbound = 3585159.607152, lowerbound=1282664.607152, norm of subgrad 35.747073	 stepsize= 1.000000 
-dualbound = 3585201.990911, lowerbound=1289430.990911, norm of subgrad 1136.067336	dualbound = 3585201.990911, lowerbound=1289430.990911, norm of subgrad 35.501884	 stepsize= 1.000000 
-dualbound = 3585271.793765, lowerbound=1284699.793765, norm of subgrad 1133.982713	dualbound = 3585271.793765, lowerbound=1284699.793765, norm of subgrad 35.872034	 stepsize= 1.000000 
-dualbound = 3585341.850356, lowerbound=1290379.850356, norm of subgrad 1136.490585	dualbound = 3585341.850356, lowerbound=1290379.850356, norm of subgrad 36.070162	 stepsize= 1.000000 
-dualbound = 3585407.596355, lowerbound=1281436.596355, norm of subgrad 1132.550041	dualbound = 3585407.596355, lowerbound=1281436.596355, norm of subgrad 36.038119	 stepsize= 1.000000 
-dualbound = 3585444.344225, lowerbound=1287815.344225, norm of subgrad 1135.382466	dualbound = 3585444.344225, lowerbound=1287815.344225, norm of subgrad 36.259452	 stepsize= 1.000000 
-dualbound = 3585557.818341, lowerbound=1282581.818341, norm of subgrad 1133.052434	dualbound = 3585557.818341, lowerbound=1282581.818341, norm of subgrad 36.598827	 stepsize= 1.000000 
-dualbound = 3585609.483758, lowerbound=1295011.483758, norm of subgrad 1138.518987	dualbound = 3585609.483758, lowerbound=1295011.483758, norm of subgrad 35.576192	 stepsize= 1.000000 
-dualbound = 3585677.072646, lowerbound=1285730.072646, norm of subgrad 1134.461578	dualbound = 3585677.072646, lowerbound=1285730.072646, norm of subgrad 36.614053	 stepsize= 1.000000 
-dualbound = 3585730.140067, lowerbound=1291165.140067, norm of subgrad 1136.802595	dualbound = 3585730.140067, lowerbound=1291165.140067, norm of subgrad 34.757264	 stepsize= 1.000000 
-dualbound = 3585871.894337, lowerbound=1289459.894337, norm of subgrad 1136.027242	dualbound = 3585871.894337, lowerbound=1289459.894337, norm of subgrad 35.210144	 stepsize= 1.000000 
-dualbound = 3585913.756253, lowerbound=1288079.756253, norm of subgrad 1135.476004	dualbound = 3585913.756253, lowerbound=1288079.756253, norm of subgrad 35.607049	 stepsize= 1.000000 
-dualbound = 3585966.882429, lowerbound=1286727.882429, norm of subgrad 1134.879678	dualbound = 3585966.882429, lowerbound=1286727.882429, norm of subgrad 35.736902	 stepsize= 1.000000 
-dualbound = 3586034.444912, lowerbound=1287654.444912, norm of subgrad 1135.307203	dualbound = 3586034.444912, lowerbound=1287654.444912, norm of subgrad 36.545348	 stepsize= 1.000000 
-dualbound = 3586088.987364, lowerbound=1283698.987364, norm of subgrad 1133.548846	dualbound = 3586088.987364, lowerbound=1283698.987364, norm of subgrad 35.896274	 stepsize= 1.000000 
-dualbound = 3586154.910848, lowerbound=1291266.910848, norm of subgrad 1136.871545	dualbound = 3586154.910848, lowerbound=1291266.910848, norm of subgrad 35.720071	 stepsize= 1.000000 
-dualbound = 3586245.267999, lowerbound=1283816.267999, norm of subgrad 1133.598813	dualbound = 3586245.267999, lowerbound=1283816.267999, norm of subgrad 36.336719	 stepsize= 1.000000 
-dualbound = 3586297.928561, lowerbound=1290294.928561, norm of subgrad 1136.454103	dualbound = 3586297.928561, lowerbound=1290294.928561, norm of subgrad 35.856109	 stepsize= 1.000000 
-dualbound = 3586391.154920, lowerbound=1286433.154920, norm of subgrad 1134.722942	dualbound = 3586391.154920, lowerbound=1286433.154920, norm of subgrad 35.443284	 stepsize= 1.000000 
-dualbound = 3586473.999549, lowerbound=1293087.999549, norm of subgrad 1137.652407	dualbound = 3586473.999549, lowerbound=1293087.999549, norm of subgrad 35.324844	 stepsize= 1.000000 
-dualbound = 3586520.875097, lowerbound=1281267.875097, norm of subgrad 1132.479084	dualbound = 3586520.875097, lowerbound=1281267.875097, norm of subgrad 35.886983	 stepsize= 1.000000 
-dualbound = 3586581.040850, lowerbound=1288618.040850, norm of subgrad 1135.666782	dualbound = 3586581.040850, lowerbound=1288618.040850, norm of subgrad 34.368092	 stepsize= 1.000000 
-dualbound = 3586684.583015, lowerbound=1286677.583015, norm of subgrad 1134.830200	dualbound = 3586684.583015, lowerbound=1286677.583015, norm of subgrad 35.574459	 stepsize= 1.000000 
-dualbound = 3586717.478664, lowerbound=1286148.478664, norm of subgrad 1134.610276	dualbound = 3586717.478664, lowerbound=1286148.478664, norm of subgrad 34.998509	 stepsize= 1.000000 
-dualbound = 3586802.799526, lowerbound=1290721.799526, norm of subgrad 1136.632658	dualbound = 3586802.799526, lowerbound=1290721.799526, norm of subgrad 36.018341	 stepsize= 1.000000 
-dualbound = 3586857.412309, lowerbound=1292028.412309, norm of subgrad 1137.200252	dualbound = 3586857.412309, lowerbound=1292028.412309, norm of subgrad 35.364004	 stepsize= 1.000000 
-dualbound = 3586934.900539, lowerbound=1283548.900539, norm of subgrad 1133.488377	dualbound = 3586934.900539, lowerbound=1283548.900539, norm of subgrad 36.393519	 stepsize= 1.000000 
-dualbound = 3586992.018051, lowerbound=1289811.018051, norm of subgrad 1136.220057	dualbound = 3586992.018051, lowerbound=1289811.018051, norm of subgrad 35.243688	 stepsize= 1.000000 
-dualbound = 3587084.038782, lowerbound=1287973.038782, norm of subgrad 1135.405671	dualbound = 3587084.038782, lowerbound=1287973.038782, norm of subgrad 35.567130	 stepsize= 1.000000 
-dualbound = 3587128.252602, lowerbound=1287455.252602, norm of subgrad 1135.211986	dualbound = 3587128.252602, lowerbound=1287455.252602, norm of subgrad 35.989079	 stepsize= 1.000000 
-dualbound = 3587191.357393, lowerbound=1284266.357393, norm of subgrad 1133.798641	dualbound = 3587191.357393, lowerbound=1284266.357393, norm of subgrad 36.001455	 stepsize= 1.000000 
-dualbound = 3587261.068107, lowerbound=1287900.068107, norm of subgrad 1135.395996	dualbound = 3587261.068107, lowerbound=1287900.068107, norm of subgrad 35.968190	 stepsize= 1.000000 
-dualbound = 3587330.333593, lowerbound=1286943.333593, norm of subgrad 1134.970191	dualbound = 3587330.333593, lowerbound=1286943.333593, norm of subgrad 35.822695	 stepsize= 1.000000 
-dualbound = 3587422.779916, lowerbound=1289368.779916, norm of subgrad 1136.040395	dualbound = 3587422.779916, lowerbound=1289368.779916, norm of subgrad 36.213897	 stepsize= 1.000000 
-dualbound = 3587467.614680, lowerbound=1287705.614680, norm of subgrad 1135.310361	dualbound = 3587467.614680, lowerbound=1287705.614680, norm of subgrad 35.620707	 stepsize= 1.000000 
-dualbound = 3587541.176349, lowerbound=1290457.176349, norm of subgrad 1136.572117	dualbound = 3587541.176349, lowerbound=1290457.176349, norm of subgrad 37.584061	 stepsize= 1.000000 
-dualbound = 3587589.224912, lowerbound=1286927.224912, norm of subgrad 1134.960010	dualbound = 3587589.224912, lowerbound=1286927.224912, norm of subgrad 35.426665	 stepsize= 1.000000 
-dualbound = 3587685.436905, lowerbound=1290389.436905, norm of subgrad 1136.482484	dualbound = 3587685.436905, lowerbound=1290389.436905, norm of subgrad 36.044583	 stepsize= 1.000000 
-dualbound = 3587768.806444, lowerbound=1289783.806444, norm of subgrad 1136.208962	dualbound = 3587768.806444, lowerbound=1289783.806444, norm of subgrad 35.642244	 stepsize= 1.000000 
-dualbound = 3587841.504446, lowerbound=1289390.504446, norm of subgrad 1136.036753	dualbound = 3587841.504446, lowerbound=1289390.504446, norm of subgrad 35.520389	 stepsize= 1.000000 
-dualbound = 3587883.794391, lowerbound=1288065.794391, norm of subgrad 1135.483947	dualbound = 3587883.794391, lowerbound=1288065.794391, norm of subgrad 36.059533	 stepsize= 1.000000 
-dualbound = 3587942.808837, lowerbound=1287351.808837, norm of subgrad 1135.160257	dualbound = 3587942.808837, lowerbound=1287351.808837, norm of subgrad 36.000201	 stepsize= 1.000000 
-dualbound = 3588050.525399, lowerbound=1288337.525399, norm of subgrad 1135.585103	dualbound = 3588050.525399, lowerbound=1288337.525399, norm of subgrad 36.382916	 stepsize= 1.000000 
-dualbound = 3588110.596846, lowerbound=1285020.596846, norm of subgrad 1134.091529	dualbound = 3588110.596846, lowerbound=1285020.596846, norm of subgrad 34.685320	 stepsize= 1.000000 
-dualbound = 3588192.170794, lowerbound=1287899.170794, norm of subgrad 1135.385032	dualbound = 3588192.170794, lowerbound=1287899.170794, norm of subgrad 35.799077	 stepsize= 1.000000 
-dualbound = 3588252.416847, lowerbound=1291309.416847, norm of subgrad 1136.917946	dualbound = 3588252.416847, lowerbound=1291309.416847, norm of subgrad 36.513642	 stepsize= 1.000000 
-dualbound = 3588282.483057, lowerbound=1284612.483057, norm of subgrad 1133.977285	dualbound = 3588282.483057, lowerbound=1284612.483057, norm of subgrad 36.360228	 stepsize= 1.000000 
-dualbound = 3588383.232832, lowerbound=1290977.232832, norm of subgrad 1136.730501	dualbound = 3588383.232832, lowerbound=1290977.232832, norm of subgrad 35.773590	 stepsize= 1.000000 
-dualbound = 3588486.097992, lowerbound=1286783.097992, norm of subgrad 1134.859065	dualbound = 3588486.097992, lowerbound=1286783.097992, norm of subgrad 34.998074	 stepsize= 1.000000 
-dualbound = 3588533.091099, lowerbound=1286746.091099, norm of subgrad 1134.906644	dualbound = 3588533.091099, lowerbound=1286746.091099, norm of subgrad 36.249043	 stepsize= 1.000000 
-dualbound = 3588604.663364, lowerbound=1286139.663364, norm of subgrad 1134.605951	dualbound = 3588604.663364, lowerbound=1286139.663364, norm of subgrad 35.532693	 stepsize= 1.000000 
-dualbound = 3588674.670497, lowerbound=1287311.670497, norm of subgrad 1135.108660	dualbound = 3588674.670497, lowerbound=1287311.670497, norm of subgrad 35.071458	 stepsize= 1.000000 
-dualbound = 3588760.192475, lowerbound=1289579.192475, norm of subgrad 1136.094711	dualbound = 3588760.192475, lowerbound=1289579.192475, norm of subgrad 34.893008	 stepsize= 1.000000 
-dualbound = 3588780.211402, lowerbound=1286506.211402, norm of subgrad 1134.785095	dualbound = 3588780.211402, lowerbound=1286506.211402, norm of subgrad 35.369746	 stepsize= 1.000000 
-dualbound = 3588873.144126, lowerbound=1290526.144126, norm of subgrad 1136.550106	dualbound = 3588873.144126, lowerbound=1290526.144126, norm of subgrad 36.234414	 stepsize= 1.000000 
-dualbound = 3588945.268393, lowerbound=1286104.268393, norm of subgrad 1134.599607	dualbound = 3588945.268393, lowerbound=1286104.268393, norm of subgrad 35.834680	 stepsize= 1.000000 
-dualbound = 3589003.709358, lowerbound=1288518.709358, norm of subgrad 1135.675882	dualbound = 3589003.709358, lowerbound=1288518.709358, norm of subgrad 36.047759	 stepsize= 1.000000 
-dualbound = 3589082.307248, lowerbound=1287673.307248, norm of subgrad 1135.273671	dualbound = 3589082.307248, lowerbound=1287673.307248, norm of subgrad 35.377929	 stepsize= 1.000000 
-dualbound = 3589147.289469, lowerbound=1289418.289469, norm of subgrad 1136.072308	dualbound = 3589147.289469, lowerbound=1289418.289469, norm of subgrad 36.152209	 stepsize= 1.000000 
-dualbound = 3589210.233796, lowerbound=1284669.233796, norm of subgrad 1133.970561	dualbound = 3589210.233796, lowerbound=1284669.233796, norm of subgrad 35.818212	 stepsize= 1.000000 
-dualbound = 3589296.732858, lowerbound=1289434.732858, norm of subgrad 1136.057539	dualbound = 3589296.732858, lowerbound=1289434.732858, norm of subgrad 35.756105	 stepsize= 1.000000 
-dualbound = 3589344.232058, lowerbound=1290893.232058, norm of subgrad 1136.711587	dualbound = 3589344.232058, lowerbound=1290893.232058, norm of subgrad 35.601955	 stepsize= 1.000000 
-dualbound = 3589416.311491, lowerbound=1293151.311491, norm of subgrad 1137.723302	dualbound = 3589416.311491, lowerbound=1293151.311491, norm of subgrad 36.538739	 stepsize= 1.000000 
-dualbound = 3589469.359826, lowerbound=1286445.359826, norm of subgrad 1134.784279	dualbound = 3589469.359826, lowerbound=1286445.359826, norm of subgrad 36.647624	 stepsize= 1.000000 
-dualbound = 3589559.576218, lowerbound=1292788.576218, norm of subgrad 1137.567394	dualbound = 3589559.576218, lowerbound=1292788.576218, norm of subgrad 36.894666	 stepsize= 1.000000 
-dualbound = 3589609.415925, lowerbound=1286997.415925, norm of subgrad 1135.026174	dualbound = 3589609.415925, lowerbound=1286997.415925, norm of subgrad 36.562819	 stepsize= 1.000000 
-dualbound = 3589692.542118, lowerbound=1286402.542118, norm of subgrad 1134.742060	dualbound = 3589692.542118, lowerbound=1286402.542118, norm of subgrad 36.333541	 stepsize= 1.000000 
-dualbound = 3589765.315563, lowerbound=1293864.315563, norm of subgrad 1138.006290	dualbound = 3589765.315563, lowerbound=1293864.315563, norm of subgrad 35.591761	 stepsize= 1.000000 
-dualbound = 3589844.648258, lowerbound=1287942.648258, norm of subgrad 1135.394050	dualbound = 3589844.648258, lowerbound=1287942.648258, norm of subgrad 35.444784	 stepsize= 1.000000 
-dualbound = 3589917.476741, lowerbound=1285017.476741, norm of subgrad 1134.119252	dualbound = 3589917.476741, lowerbound=1285017.476741, norm of subgrad 35.802632	 stepsize= 1.000000 
-dualbound = 3589971.144346, lowerbound=1285090.144346, norm of subgrad 1134.123073	dualbound = 3589971.144346, lowerbound=1285090.144346, norm of subgrad 34.621779	 stepsize= 1.000000 
-dualbound = 3590075.320739, lowerbound=1288290.320739, norm of subgrad 1135.525130	dualbound = 3590075.320739, lowerbound=1288290.320739, norm of subgrad 35.088123	 stepsize= 1.000000 
-dualbound = 3590120.857260, lowerbound=1281714.857260, norm of subgrad 1132.664936	dualbound = 3590120.857260, lowerbound=1281714.857260, norm of subgrad 35.504035	 stepsize= 1.000000 
-dualbound = 3590197.747834, lowerbound=1287976.747834, norm of subgrad 1135.404663	dualbound = 3590197.747834, lowerbound=1287976.747834, norm of subgrad 35.268833	 stepsize= 1.000000 
-dualbound = 3590271.885176, lowerbound=1290405.885176, norm of subgrad 1136.486641	dualbound = 3590271.885176, lowerbound=1290405.885176, norm of subgrad 35.638986	 stepsize= 1.000000 
-dualbound = 3590335.141737, lowerbound=1287952.141737, norm of subgrad 1135.425533	dualbound = 3590335.141737, lowerbound=1287952.141737, norm of subgrad 36.086792	 stepsize= 1.000000 
-dualbound = 3590373.290023, lowerbound=1287370.290023, norm of subgrad 1135.193063	dualbound = 3590373.290023, lowerbound=1287370.290023, norm of subgrad 36.484905	 stepsize= 1.000000 
-dualbound = 3590445.976428, lowerbound=1285158.976428, norm of subgrad 1134.225276	dualbound = 3590445.976428, lowerbound=1285158.976428, norm of subgrad 37.157589	 stepsize= 1.000000 
-dualbound = 3590533.393937, lowerbound=1292222.393937, norm of subgrad 1137.300925	dualbound = 3590533.393937, lowerbound=1292222.393937, norm of subgrad 36.310019	 stepsize= 1.000000 
-dualbound = 3590580.738530, lowerbound=1288351.738530, norm of subgrad 1135.605010	dualbound = 3590580.738530, lowerbound=1288351.738530, norm of subgrad 35.977001	 stepsize= 1.000000 
-dualbound = 3590647.383868, lowerbound=1290957.383868, norm of subgrad 1136.763557	dualbound = 3590647.383868, lowerbound=1290957.383868, norm of subgrad 36.614824	 stepsize= 1.000000 
-dualbound = 3590732.597237, lowerbound=1284371.597237, norm of subgrad 1133.833143	dualbound = 3590732.597237, lowerbound=1284371.597237, norm of subgrad 35.933458	 stepsize= 1.000000 
-dualbound = 3590786.930937, lowerbound=1289140.930937, norm of subgrad 1135.942750	dualbound = 3590786.930937, lowerbound=1289140.930937, norm of subgrad 35.767775	 stepsize= 1.000000 
-dualbound = 3590867.772569, lowerbound=1283949.772569, norm of subgrad 1133.647993	dualbound = 3590867.772569, lowerbound=1283949.772569, norm of subgrad 35.900441	 stepsize= 1.000000 
-dualbound = 3590940.324861, lowerbound=1287791.324861, norm of subgrad 1135.330932	dualbound = 3590940.324861, lowerbound=1287791.324861, norm of subgrad 35.461984	 stepsize= 1.000000 
-dualbound = 3590998.892080, lowerbound=1287361.892080, norm of subgrad 1135.139591	dualbound = 3590998.892080, lowerbound=1287361.892080, norm of subgrad 35.193284	 stepsize= 1.000000 
-dualbound = 3591091.645075, lowerbound=1287680.645075, norm of subgrad 1135.274260	dualbound = 3591091.645075, lowerbound=1287680.645075, norm of subgrad 35.492999	 stepsize= 1.000000 
-dualbound = 3591145.337729, lowerbound=1285803.337729, norm of subgrad 1134.502242	dualbound = 3591145.337729, lowerbound=1285803.337729, norm of subgrad 36.683684	 stepsize= 1.000000 
-dualbound = 3591186.970383, lowerbound=1293350.970383, norm of subgrad 1137.816317	dualbound = 3591186.970383, lowerbound=1293350.970383, norm of subgrad 36.285433	 stepsize= 1.000000 
-dualbound = 3591266.352359, lowerbound=1282751.352359, norm of subgrad 1133.116654	dualbound = 3591266.352359, lowerbound=1282751.352359, norm of subgrad 35.796396	 stepsize= 1.000000 
-dualbound = 3591358.948969, lowerbound=1287008.948969, norm of subgrad 1135.001299	dualbound = 3591358.948969, lowerbound=1287008.948969, norm of subgrad 36.215972	 stepsize= 1.000000 
-dualbound = 3591424.911322, lowerbound=1288051.911322, norm of subgrad 1135.435560	dualbound = 3591424.911322, lowerbound=1288051.911322, norm of subgrad 35.042294	 stepsize= 1.000000 
-dualbound = 3591491.178445, lowerbound=1290932.178445, norm of subgrad 1136.730917	dualbound = 3591491.178445, lowerbound=1290932.178445, norm of subgrad 35.934205	 stepsize= 1.000000 
-dualbound = 3591559.707272, lowerbound=1286927.707272, norm of subgrad 1134.961544	dualbound = 3591559.707272, lowerbound=1286927.707272, norm of subgrad 35.756521	 stepsize= 1.000000 
-dualbound = 3591641.912810, lowerbound=1292698.912810, norm of subgrad 1137.489302	dualbound = 3591641.912810, lowerbound=1292698.912810, norm of subgrad 35.569728	 stepsize= 1.000000 
-dualbound = 3591701.837559, lowerbound=1285490.837559, norm of subgrad 1134.333213	dualbound = 3591701.837559, lowerbound=1285490.837559, norm of subgrad 35.790009	 stepsize= 1.000000 
-dualbound = 3591775.021379, lowerbound=1290338.021379, norm of subgrad 1136.482301	dualbound = 3591775.021379, lowerbound=1290338.021379, norm of subgrad 36.430534	 stepsize= 1.000000 
-dualbound = 3591826.302010, lowerbound=1292705.302010, norm of subgrad 1137.536945	dualbound = 3591826.302010, lowerbound=1292705.302010, norm of subgrad 36.555172	 stepsize= 1.000000 
-dualbound = 3591878.518220, lowerbound=1286302.518220, norm of subgrad 1134.720458	dualbound = 3591878.518220, lowerbound=1286302.518220, norm of subgrad 36.608964	 stepsize= 1.000000 
-dualbound = 3591970.480320, lowerbound=1287128.480320, norm of subgrad 1135.074658	dualbound = 3591970.480320, lowerbound=1287128.480320, norm of subgrad 36.850537	 stepsize= 1.000000 
-dualbound = 3592016.811631, lowerbound=1293075.811631, norm of subgrad 1137.690561	dualbound = 3592016.811631, lowerbound=1293075.811631, norm of subgrad 36.198499	 stepsize= 1.000000 
-dualbound = 3592093.798463, lowerbound=1292641.798463, norm of subgrad 1137.493208	dualbound = 3592093.798463, lowerbound=1292641.798463, norm of subgrad 36.414102	 stepsize= 1.000000 
-dualbound = 3592155.111743, lowerbound=1289192.111743, norm of subgrad 1135.987725	dualbound = 3592155.111743, lowerbound=1289192.111743, norm of subgrad 36.569294	 stepsize= 1.000000 
-dualbound = 3592232.801527, lowerbound=1284191.801527, norm of subgrad 1133.770171	dualbound = 3592232.801527, lowerbound=1284191.801527, norm of subgrad 36.341296	 stepsize= 1.000000 
-dualbound = 3592308.958290, lowerbound=1284588.958290, norm of subgrad 1133.943984	dualbound = 3592308.958290, lowerbound=1284588.958290, norm of subgrad 36.278875	 stepsize= 1.000000 
-dualbound = 3592377.582034, lowerbound=1289342.582034, norm of subgrad 1135.988812	dualbound = 3592377.582034, lowerbound=1289342.582034, norm of subgrad 34.592250	 stepsize= 1.000000 
-dualbound = 3592468.614331, lowerbound=1287658.614331, norm of subgrad 1135.264997	dualbound = 3592468.614331, lowerbound=1287658.614331, norm of subgrad 35.482845	 stepsize= 1.000000 
-dualbound = 3592535.238244, lowerbound=1288544.238244, norm of subgrad 1135.646177	dualbound = 3592535.238244, lowerbound=1288544.238244, norm of subgrad 34.851455	 stepsize= 1.000000 
-dualbound = 3592596.307025, lowerbound=1290484.307025, norm of subgrad 1136.536540	dualbound = 3592596.307025, lowerbound=1290484.307025, norm of subgrad 35.945358	 stepsize= 1.000000 
-dualbound = 3592640.229456, lowerbound=1288743.229456, norm of subgrad 1135.746552	dualbound = 3592640.229456, lowerbound=1288743.229456, norm of subgrad 34.941700	 stepsize= 1.000000 
-dualbound = 3592731.379049, lowerbound=1284955.379049, norm of subgrad 1134.081293	dualbound = 3592731.379049, lowerbound=1284955.379049, norm of subgrad 35.723236	 stepsize= 1.000000 
-dualbound = 3592785.697043, lowerbound=1289895.697043, norm of subgrad 1136.272281	dualbound = 3592785.697043, lowerbound=1289895.697043, norm of subgrad 35.683582	 stepsize= 1.000000 
-dualbound = 3592867.524163, lowerbound=1287637.524163, norm of subgrad 1135.263196	dualbound = 3592867.524163, lowerbound=1287637.524163, norm of subgrad 35.592515	 stepsize= 1.000000 
-dualbound = 3592957.268041, lowerbound=1290954.268041, norm of subgrad 1136.714242	dualbound = 3592957.268041, lowerbound=1290954.268041, norm of subgrad 35.422364	 stepsize= 1.000000 
-dualbound = 3593003.505150, lowerbound=1287123.505150, norm of subgrad 1135.054847	dualbound = 3593003.505150, lowerbound=1287123.505150, norm of subgrad 35.668433	 stepsize= 1.000000 
-dualbound = 3593060.990903, lowerbound=1290355.990903, norm of subgrad 1136.477448	dualbound = 3593060.990903, lowerbound=1290355.990903, norm of subgrad 35.811810	 stepsize= 1.000000 
-dualbound = 3593133.268599, lowerbound=1285470.268599, norm of subgrad 1134.324587	dualbound = 3593133.268599, lowerbound=1285470.268599, norm of subgrad 35.976071	 stepsize= 1.000000 
-dualbound = 3593216.403469, lowerbound=1292078.403469, norm of subgrad 1137.236301	dualbound = 3593216.403469, lowerbound=1292078.403469, norm of subgrad 36.209596	 stepsize= 1.000000 
-dualbound = 3593254.316513, lowerbound=1284669.316513, norm of subgrad 1133.984266	dualbound = 3593254.316513, lowerbound=1284669.316513, norm of subgrad 35.901435	 stepsize= 1.000000 
-dualbound = 3593344.260969, lowerbound=1286970.260969, norm of subgrad 1135.018617	dualbound = 3593344.260969, lowerbound=1286970.260969, norm of subgrad 37.241703	 stepsize= 1.000000 
-dualbound = 3593401.693360, lowerbound=1284059.693360, norm of subgrad 1133.724258	dualbound = 3593401.693360, lowerbound=1284059.693360, norm of subgrad 36.447666	 stepsize= 1.000000 
-dualbound = 3593477.210268, lowerbound=1293472.210268, norm of subgrad 1137.853334	dualbound = 3593477.210268, lowerbound=1293472.210268, norm of subgrad 36.242474	 stepsize= 1.000000 
-dualbound = 3593543.926824, lowerbound=1287292.926824, norm of subgrad 1135.145333	dualbound = 3593543.926824, lowerbound=1287292.926824, norm of subgrad 36.451565	 stepsize= 1.000000 
-dualbound = 3593614.444117, lowerbound=1286906.444117, norm of subgrad 1134.980812	dualbound = 3593614.444117, lowerbound=1286906.444117, norm of subgrad 36.681294	 stepsize= 1.000000 
-dualbound = 3593686.785222, lowerbound=1291427.785222, norm of subgrad 1136.938338	dualbound = 3593686.785222, lowerbound=1291427.785222, norm of subgrad 35.683905	 stepsize= 1.000000 
-dualbound = 3593767.675074, lowerbound=1292013.675074, norm of subgrad 1137.210480	dualbound = 3593767.675074, lowerbound=1292013.675074, norm of subgrad 36.261410	 stepsize= 1.000000 
-dualbound = 3593845.463499, lowerbound=1285217.463499, norm of subgrad 1134.183611	dualbound = 3593845.463499, lowerbound=1285217.463499, norm of subgrad 35.111087	 stepsize= 1.000000 
-dualbound = 3593916.513307, lowerbound=1290352.513307, norm of subgrad 1136.481638	dualbound = 3593916.513307, lowerbound=1290352.513307, norm of subgrad 36.180793	 stepsize= 1.000000 
-dualbound = 3593957.498336, lowerbound=1291731.498336, norm of subgrad 1137.093003	dualbound = 3593957.498336, lowerbound=1291731.498336, norm of subgrad 35.916362	 stepsize= 1.000000 
-dualbound = 3594042.036736, lowerbound=1286554.036736, norm of subgrad 1134.807489	dualbound = 3594042.036736, lowerbound=1286554.036736, norm of subgrad 36.311684	 stepsize= 1.000000 
-dualbound = 3594116.263100, lowerbound=1291169.263100, norm of subgrad 1136.826840	dualbound = 3594116.263100, lowerbound=1291169.263100, norm of subgrad 35.780251	 stepsize= 1.000000 
-dualbound = 3594201.972822, lowerbound=1284874.972822, norm of subgrad 1134.047165	dualbound = 3594201.972822, lowerbound=1284874.972822, norm of subgrad 35.689070	 stepsize= 1.000000 
-dualbound = 3594243.928875, lowerbound=1287320.928875, norm of subgrad 1135.144453	dualbound = 3594243.928875, lowerbound=1287320.928875, norm of subgrad 35.692521	 stepsize= 1.000000 
-dualbound = 3594326.531793, lowerbound=1290357.531793, norm of subgrad 1136.480326	dualbound = 3594326.531793, lowerbound=1290357.531793, norm of subgrad 36.229862	 stepsize= 1.000000 
-dualbound = 3594376.682719, lowerbound=1285414.682719, norm of subgrad 1134.333145	dualbound = 3594376.682719, lowerbound=1285414.682719, norm of subgrad 36.703555	 stepsize= 1.000000 
-dualbound = 3594442.697895, lowerbound=1292994.697895, norm of subgrad 1137.655351	dualbound = 3594442.697895, lowerbound=1292994.697895, norm of subgrad 36.483081	 stepsize= 1.000000 
-dualbound = 3594521.058272, lowerbound=1288186.058272, norm of subgrad 1135.519290	dualbound = 3594521.058272, lowerbound=1288186.058272, norm of subgrad 36.005005	 stepsize= 1.000000 
-dualbound = 3594610.254671, lowerbound=1286827.254671, norm of subgrad 1134.900108	dualbound = 3594610.254671, lowerbound=1286827.254671, norm of subgrad 35.499245	 stepsize= 1.000000 
-dualbound = 3594674.616923, lowerbound=1287229.616923, norm of subgrad 1135.102470	dualbound = 3594674.616923, lowerbound=1287229.616923, norm of subgrad 35.949440	 stepsize= 1.000000 
-dualbound = 3594736.131882, lowerbound=1288388.131882, norm of subgrad 1135.621914	dualbound = 3594736.131882, lowerbound=1288388.131882, norm of subgrad 36.201035	 stepsize= 1.000000 
-dualbound = 3594795.255101, lowerbound=1285837.255101, norm of subgrad 1134.498680	dualbound = 3594795.255101, lowerbound=1285837.255101, norm of subgrad 36.181808	 stepsize= 1.000000 
-dualbound = 3594885.948244, lowerbound=1289794.948244, norm of subgrad 1136.231908	dualbound = 3594885.948244, lowerbound=1289794.948244, norm of subgrad 36.313815	 stepsize= 1.000000 
-dualbound = 3594926.049595, lowerbound=1284015.049595, norm of subgrad 1133.723092	dualbound = 3594926.049595, lowerbound=1284015.049595, norm of subgrad 36.784526	 stepsize= 1.000000 
-dualbound = 3595008.869052, lowerbound=1289984.869052, norm of subgrad 1136.325600	dualbound = 3595008.869052, lowerbound=1289984.869052, norm of subgrad 36.521493	 stepsize= 1.000000 
-dualbound = 3595078.276764, lowerbound=1291075.276764, norm of subgrad 1136.779344	dualbound = 3595078.276764, lowerbound=1291075.276764, norm of subgrad 35.516302	 stepsize= 1.000000 
-dualbound = 3595169.587773, lowerbound=1290373.587773, norm of subgrad 1136.457913	dualbound = 3595169.587773, lowerbound=1290373.587773, norm of subgrad 35.416253	 stepsize= 1.000000 
-dualbound = 3595199.032751, lowerbound=1286361.032751, norm of subgrad 1134.747123	dualbound = 3595199.032751, lowerbound=1286361.032751, norm of subgrad 36.324165	 stepsize= 1.000000 
-dualbound = 3595276.896457, lowerbound=1290766.896457, norm of subgrad 1136.687247	dualbound = 3595276.896457, lowerbound=1290766.896457, norm of subgrad 36.998158	 stepsize= 1.000000 
-dualbound = 3595332.850755, lowerbound=1288223.850755, norm of subgrad 1135.533729	dualbound = 3595332.850755, lowerbound=1288223.850755, norm of subgrad 35.622385	 stepsize= 1.000000 
-dualbound = 3595424.445001, lowerbound=1290401.445001, norm of subgrad 1136.486447	dualbound = 3595424.445001, lowerbound=1290401.445001, norm of subgrad 35.938757	 stepsize= 1.000000 
-dualbound = 3595499.624379, lowerbound=1286654.624379, norm of subgrad 1134.828456	dualbound = 3595499.624379, lowerbound=1286654.624379, norm of subgrad 35.442621	 stepsize= 1.000000 
-dualbound = 3595561.452124, lowerbound=1286520.452124, norm of subgrad 1134.779032	dualbound = 3595561.452124, lowerbound=1286520.452124, norm of subgrad 35.564417	 stepsize= 1.000000 
-dualbound = 3595622.429934, lowerbound=1285415.429934, norm of subgrad 1134.305704	dualbound = 3595622.429934, lowerbound=1285415.429934, norm of subgrad 35.985800	 stepsize= 1.000000 
-dualbound = 3595714.291056, lowerbound=1287895.291056, norm of subgrad 1135.387727	dualbound = 3595714.291056, lowerbound=1287895.291056, norm of subgrad 36.081313	 stepsize= 1.000000 
-dualbound = 3595775.505150, lowerbound=1285598.505150, norm of subgrad 1134.363921	dualbound = 3595775.505150, lowerbound=1285598.505150, norm of subgrad 35.273419	 stepsize= 1.000000 
-dualbound = 3595841.046040, lowerbound=1287341.046040, norm of subgrad 1135.144945	dualbound = 3595841.046040, lowerbound=1287341.046040, norm of subgrad 35.756690	 stepsize= 1.000000 
-dualbound = 3595911.024506, lowerbound=1286916.024506, norm of subgrad 1134.985473	dualbound = 3595911.024506, lowerbound=1286916.024506, norm of subgrad 36.687579	 stepsize= 1.000000 
-dualbound = 3595971.093262, lowerbound=1293937.093262, norm of subgrad 1138.045734	dualbound = 3595971.093262, lowerbound=1293937.093262, norm of subgrad 35.652051	 stepsize= 1.000000 
-dualbound = 3596052.845275, lowerbound=1290189.845275, norm of subgrad 1136.380590	dualbound = 3596052.845275, lowerbound=1290189.845275, norm of subgrad 35.394237	 stepsize= 1.000000 
-dualbound = 3596110.014877, lowerbound=1292461.014877, norm of subgrad 1137.414179	dualbound = 3596110.014877, lowerbound=1292461.014877, norm of subgrad 36.154801	 stepsize= 1.000000 
-dualbound = 3596182.535643, lowerbound=1290591.535643, norm of subgrad 1136.606588	dualbound = 3596182.535643, lowerbound=1290591.535643, norm of subgrad 36.817398	 stepsize= 1.000000 
-dualbound = 3596231.624228, lowerbound=1286159.624228, norm of subgrad 1134.642069	dualbound = 3596231.624228, lowerbound=1286159.624228, norm of subgrad 36.084465	 stepsize= 1.000000 
-dualbound = 3596309.841602, lowerbound=1288496.841602, norm of subgrad 1135.719966	dualbound = 3596309.841602, lowerbound=1288496.841602, norm of subgrad 37.963369	 stepsize= 1.000000 
-dualbound = 3596365.555536, lowerbound=1290838.555536, norm of subgrad 1136.685777	dualbound = 3596365.555536, lowerbound=1290838.555536, norm of subgrad 35.661098	 stepsize= 1.000000 
-dualbound = 3596467.165640, lowerbound=1288406.165640, norm of subgrad 1135.619728	dualbound = 3596467.165640, lowerbound=1288406.165640, norm of subgrad 36.436384	 stepsize= 1.000000 
-dualbound = 3596528.582065, lowerbound=1288997.582065, norm of subgrad 1135.887134	dualbound = 3596528.582065, lowerbound=1288997.582065, norm of subgrad 36.102859	 stepsize= 1.000000 
-dualbound = 3596600.369158, lowerbound=1288720.369158, norm of subgrad 1135.769065	dualbound = 3596600.369158, lowerbound=1288720.369158, norm of subgrad 36.370140	 stepsize= 1.000000 
-dualbound = 3596661.669502, lowerbound=1289818.669502, norm of subgrad 1136.258188	dualbound = 3596661.669502, lowerbound=1289818.669502, norm of subgrad 36.404675	 stepsize= 1.000000 
-dualbound = 3596735.538595, lowerbound=1288008.538595, norm of subgrad 1135.447726	dualbound = 3596735.538595, lowerbound=1288008.538595, norm of subgrad 36.150644	 stepsize= 1.000000 
-dualbound = 3596815.030294, lowerbound=1285301.030294, norm of subgrad 1134.240729	dualbound = 3596815.030294, lowerbound=1285301.030294, norm of subgrad 35.783959	 stepsize= 1.000000 
-dualbound = 3596877.985870, lowerbound=1287456.985870, norm of subgrad 1135.206142	dualbound = 3596877.985870, lowerbound=1287456.985870, norm of subgrad 36.041026	 stepsize= 1.000000 
-dualbound = 3596956.821552, lowerbound=1286531.821552, norm of subgrad 1134.789329	dualbound = 3596956.821552, lowerbound=1286531.821552, norm of subgrad 35.969927	 stepsize= 1.000000 
-dualbound = 3597030.511266, lowerbound=1288382.511266, norm of subgrad 1135.595223	dualbound = 3597030.511266, lowerbound=1288382.511266, norm of subgrad 35.604631	 stepsize= 1.000000 
-dualbound = 3597082.616488, lowerbound=1285719.616488, norm of subgrad 1134.430084	dualbound = 3597082.616488, lowerbound=1285719.616488, norm of subgrad 35.554257	 stepsize= 1.000000 
-dualbound = 3597163.267397, lowerbound=1290746.267397, norm of subgrad 1136.635063	dualbound = 3597163.267397, lowerbound=1290746.267397, norm of subgrad 35.688246	 stepsize= 1.000000 
-dualbound = 3597224.890332, lowerbound=1288090.890332, norm of subgrad 1135.511290	dualbound = 3597224.890332, lowerbound=1288090.890332, norm of subgrad 36.832363	 stepsize= 1.000000 
-dualbound = 3597279.649719, lowerbound=1292300.649719, norm of subgrad 1137.327855	dualbound = 3597279.649719, lowerbound=1292300.649719, norm of subgrad 35.619649	 stepsize= 1.000000 
-dualbound = 3597361.250613, lowerbound=1282574.250613, norm of subgrad 1133.048212	dualbound = 3597361.250613, lowerbound=1282574.250613, norm of subgrad 36.133100	 stepsize= 1.000000 
-dualbound = 3597433.997496, lowerbound=1291927.997496, norm of subgrad 1137.173688	dualbound = 3597433.997496, lowerbound=1291927.997496, norm of subgrad 36.176607	 stepsize= 1.000000 
-dualbound = 3597515.347461, lowerbound=1283258.347461, norm of subgrad 1133.324908	dualbound = 3597515.347461, lowerbound=1283258.347461, norm of subgrad 35.331996	 stepsize= 1.000000 
-dualbound = 3597580.866640, lowerbound=1287092.866640, norm of subgrad 1135.026813	dualbound = 3597580.866640, lowerbound=1287092.866640, norm of subgrad 35.475614	 stepsize= 1.000000 
-dualbound = 3597640.961723, lowerbound=1293110.961723, norm of subgrad 1137.704690	dualbound = 3597640.961723, lowerbound=1293110.961723, norm of subgrad 36.346872	 stepsize= 1.000000 
-dualbound = 3597692.965040, lowerbound=1286737.965040, norm of subgrad 1134.892491	dualbound = 3597692.965040, lowerbound=1286737.965040, norm of subgrad 35.986155	 stepsize= 1.000000 
-dualbound = 3597776.899430, lowerbound=1290750.899430, norm of subgrad 1136.637101	dualbound = 3597776.899430, lowerbound=1290750.899430, norm of subgrad 35.734219	 stepsize= 1.000000 
-dualbound = 3597867.673308, lowerbound=1292786.673308, norm of subgrad 1137.516010	dualbound = 3597867.673308, lowerbound=1292786.673308, norm of subgrad 35.309685	 stepsize= 1.000000 
-dualbound = 3597910.609794, lowerbound=1289690.609794, norm of subgrad 1136.180712	dualbound = 3597910.609794, lowerbound=1289690.609794, norm of subgrad 35.481495	 stepsize= 1.000000 
-dualbound = 3597967.895006, lowerbound=1285808.895006, norm of subgrad 1134.498521	dualbound = 3597967.895006, lowerbound=1285808.895006, norm of subgrad 36.541555	 stepsize= 1.000000 
-dualbound = 3598023.566429, lowerbound=1286393.566429, norm of subgrad 1134.739867	dualbound = 3598023.566429, lowerbound=1286393.566429, norm of subgrad 36.009324	 stepsize= 1.000000 
-dualbound = 3598113.823662, lowerbound=1292548.823662, norm of subgrad 1137.452779	dualbound = 3598113.823662, lowerbound=1292548.823662, norm of subgrad 36.609524	 stepsize= 1.000000 
-dualbound = 3598174.066453, lowerbound=1285308.066453, norm of subgrad 1134.223993	dualbound = 3598174.066453, lowerbound=1285308.066453, norm of subgrad 34.874673	 stepsize= 1.000000 
-dualbound = 3598273.790393, lowerbound=1287754.790393, norm of subgrad 1135.321448	dualbound = 3598273.790393, lowerbound=1287754.790393, norm of subgrad 36.051684	 stepsize= 1.000000 
-dualbound = 3598320.047903, lowerbound=1287056.047903, norm of subgrad 1135.019845	dualbound = 3598320.047903, lowerbound=1287056.047903, norm of subgrad 35.500106	 stepsize= 1.000000 
-dualbound = 3598417.313084, lowerbound=1293213.313084, norm of subgrad 1137.729455	dualbound = 3598417.313084, lowerbound=1293213.313084, norm of subgrad 36.225201	 stepsize= 1.000000 
-dualbound = 3598440.489292, lowerbound=1291370.489292, norm of subgrad 1136.962396	dualbound = 3598440.489292, lowerbound=1291370.489292, norm of subgrad 36.553744	 stepsize= 1.000000 
-dualbound = 3598521.399595, lowerbound=1287669.399595, norm of subgrad 1135.301458	dualbound = 3598521.399595, lowerbound=1287669.399595, norm of subgrad 36.344330	 stepsize= 1.000000 
-dualbound = 3598575.936459, lowerbound=1286459.936459, norm of subgrad 1134.767349	dualbound = 3598575.936459, lowerbound=1286459.936459, norm of subgrad 35.937959	 stepsize= 1.000000 
-dualbound = 3598693.285721, lowerbound=1284802.285721, norm of subgrad 1134.001890	dualbound = 3598693.285721, lowerbound=1284802.285721, norm of subgrad 35.712032	 stepsize= 1.000000 
-dualbound = 3598748.123787, lowerbound=1285073.123787, norm of subgrad 1134.145107	dualbound = 3598748.123787, lowerbound=1285073.123787, norm of subgrad 35.592669	 stepsize= 1.000000 
-dualbound = 3598827.294057, lowerbound=1286705.294057, norm of subgrad 1134.877656	dualbound = 3598827.294057, lowerbound=1286705.294057, norm of subgrad 36.347906	 stepsize= 1.000000 
-dualbound = 3598862.050131, lowerbound=1291376.050131, norm of subgrad 1136.919544	dualbound = 3598862.050131, lowerbound=1291376.050131, norm of subgrad 35.281101	 stepsize= 1.000000 
-dualbound = 3598950.912281, lowerbound=1287021.912281, norm of subgrad 1135.013177	dualbound = 3598950.912281, lowerbound=1287021.912281, norm of subgrad 36.357422	 stepsize= 1.000000 
-dualbound = 3599009.512891, lowerbound=1285993.512891, norm of subgrad 1134.545069	dualbound = 3599009.512891, lowerbound=1285993.512891, norm of subgrad 35.462665	 stepsize= 1.000000 
-dualbound = 3599107.924882, lowerbound=1288964.924882, norm of subgrad 1135.840185	dualbound = 3599107.924882, lowerbound=1288964.924882, norm of subgrad 35.586683	 stepsize= 1.000000 
-dualbound = 3599168.141551, lowerbound=1290539.141551, norm of subgrad 1136.521949	dualbound = 3599168.141551, lowerbound=1290539.141551, norm of subgrad 34.687414	 stepsize= 1.000000 
-dualbound = 3599256.227697, lowerbound=1284222.227697, norm of subgrad 1133.761098	dualbound = 3599256.227697, lowerbound=1284222.227697, norm of subgrad 35.778292	 stepsize= 1.000000 
-dualbound = 3599297.137605, lowerbound=1286830.137605, norm of subgrad 1134.936623	dualbound = 3599297.137605, lowerbound=1286830.137605, norm of subgrad 35.943148	 stepsize= 1.000000 
-dualbound = 3599361.545578, lowerbound=1286440.545578, norm of subgrad 1134.753518	dualbound = 3599361.545578, lowerbound=1286440.545578, norm of subgrad 35.908327	 stepsize= 1.000000 
-dualbound = 3599429.913663, lowerbound=1284458.913663, norm of subgrad 1133.886641	dualbound = 3599429.913663, lowerbound=1284458.913663, norm of subgrad 36.171371	 stepsize= 1.000000 
-dualbound = 3599494.176027, lowerbound=1292465.176027, norm of subgrad 1137.408535	dualbound = 3599494.176027, lowerbound=1292465.176027, norm of subgrad 36.017529	 stepsize= 1.000000 
-dualbound = 3599552.313926, lowerbound=1286492.313926, norm of subgrad 1134.804967	dualbound = 3599552.313926, lowerbound=1286492.313926, norm of subgrad 36.716997	 stepsize= 1.000000 
-dualbound = 3599642.293756, lowerbound=1295331.293756, norm of subgrad 1138.652403	dualbound = 3599642.293756, lowerbound=1295331.293756, norm of subgrad 35.888436	 stepsize= 1.000000 
-dualbound = 3599710.535849, lowerbound=1286833.535849, norm of subgrad 1134.909924	dualbound = 3599710.535849, lowerbound=1286833.535849, norm of subgrad 35.429396	 stepsize= 1.000000 
-dualbound = 3599769.952771, lowerbound=1294131.952771, norm of subgrad 1138.129146	dualbound = 3599769.952771, lowerbound=1294131.952771, norm of subgrad 35.572699	 stepsize= 1.000000 
-dualbound = 3599845.718956, lowerbound=1291186.718956, norm of subgrad 1136.838035	dualbound = 3599845.718956, lowerbound=1291186.718956, norm of subgrad 35.913315	 stepsize= 1.000000 
-dualbound = 3599938.240776, lowerbound=1287696.240776, norm of subgrad 1135.268356	dualbound = 3599938.240776, lowerbound=1287696.240776, norm of subgrad 35.078794	 stepsize= 1.000000 
-dualbound = 3600006.213404, lowerbound=1286622.213404, norm of subgrad 1134.820785	dualbound = 3600006.213404, lowerbound=1286622.213404, norm of subgrad 35.552393	 stepsize= 1.000000 
-dualbound = 3600049.846312, lowerbound=1290148.846312, norm of subgrad 1136.392910	dualbound = 3600049.846312, lowerbound=1290148.846312, norm of subgrad 35.827823	 stepsize= 1.000000 
-dualbound = 3600107.790219, lowerbound=1284934.790219, norm of subgrad 1134.118508	dualbound = 3600107.790219, lowerbound=1284934.790219, norm of subgrad 36.714356	 stepsize= 1.000000 
-dualbound = 3600177.906217, lowerbound=1290151.906217, norm of subgrad 1136.370057	dualbound = 3600177.906217, lowerbound=1290151.906217, norm of subgrad 35.427616	 stepsize= 1.000000 
-dualbound = 3600287.383434, lowerbound=1285362.383434, norm of subgrad 1134.261603	dualbound = 3600287.383434, lowerbound=1285362.383434, norm of subgrad 36.006627	 stepsize= 1.000000 
-dualbound = 3600347.088422, lowerbound=1293140.088422, norm of subgrad 1137.698153	dualbound = 3600347.088422, lowerbound=1293140.088422, norm of subgrad 35.731009	 stepsize= 1.000000 
-dualbound = 3600412.522796, lowerbound=1286077.522796, norm of subgrad 1134.575481	dualbound = 3600412.522796, lowerbound=1286077.522796, norm of subgrad 35.347339	 stepsize= 1.000000 
-dualbound = 3600483.784177, lowerbound=1290658.784177, norm of subgrad 1136.591300	dualbound = 3600483.784177, lowerbound=1290658.784177, norm of subgrad 35.387305	 stepsize= 1.000000 
-dualbound = 3600556.787096, lowerbound=1289471.787096, norm of subgrad 1136.076048	dualbound = 3600556.787096, lowerbound=1289471.787096, norm of subgrad 35.637100	 stepsize= 1.000000 
-dualbound = 3600638.806111, lowerbound=1286116.806111, norm of subgrad 1134.590590	dualbound = 3600638.806111, lowerbound=1286116.806111, norm of subgrad 35.510830	 stepsize= 1.000000 
-dualbound = 3600688.665631, lowerbound=1290685.665631, norm of subgrad 1136.602686	dualbound = 3600688.665631, lowerbound=1290685.665631, norm of subgrad 35.069353	 stepsize= 1.000000 
-dualbound = 3600769.017433, lowerbound=1289429.017433, norm of subgrad 1136.062946	dualbound = 3600769.017433, lowerbound=1289429.017433, norm of subgrad 35.921467	 stepsize= 1.000000 
-dualbound = 3600818.075165, lowerbound=1290336.075165, norm of subgrad 1136.458127	dualbound = 3600818.075165, lowerbound=1290336.075165, norm of subgrad 35.356156	 stepsize= 1.000000 
-dualbound = 3600889.561421, lowerbound=1292183.561421, norm of subgrad 1137.268465	dualbound = 3600889.561421, lowerbound=1292183.561421, norm of subgrad 35.601773	 stepsize= 1.000000 
-dualbound = 3600972.648721, lowerbound=1288223.648721, norm of subgrad 1135.532760	dualbound = 3600972.648721, lowerbound=1288223.648721, norm of subgrad 35.973425	 stepsize= 1.000000 
-dualbound = 3601027.771743, lowerbound=1287508.771743, norm of subgrad 1135.225428	dualbound = 3601027.771743, lowerbound=1287508.771743, norm of subgrad 35.820707	 stepsize= 1.000000 
-dualbound = 3601099.347003, lowerbound=1290629.347003, norm of subgrad 1136.593748	dualbound = 3601099.347003, lowerbound=1290629.347003, norm of subgrad 35.882799	 stepsize= 1.000000 
-dualbound = 3601180.597536, lowerbound=1287122.597536, norm of subgrad 1135.063257	dualbound = 3601180.597536, lowerbound=1287122.597536, norm of subgrad 36.431450	 stepsize= 1.000000 
-dualbound = 3601207.210613, lowerbound=1286002.210613, norm of subgrad 1134.558157	dualbound = 3601207.210613, lowerbound=1286002.210613, norm of subgrad 35.307408	 stepsize= 1.000000 
-dualbound = 3601311.574849, lowerbound=1288654.574849, norm of subgrad 1135.688591	dualbound = 3601311.574849, lowerbound=1288654.574849, norm of subgrad 35.190400	 stepsize= 1.000000 
-dualbound = 3601405.950640, lowerbound=1287332.950640, norm of subgrad 1135.121558	dualbound = 3601405.950640, lowerbound=1287332.950640, norm of subgrad 35.529928	 stepsize= 1.000000 
-dualbound = 3601458.849198, lowerbound=1287990.849198, norm of subgrad 1135.431570	dualbound = 3601458.849198, lowerbound=1287990.849198, norm of subgrad 35.593518	 stepsize= 1.000000 
-dualbound = 3601520.969912, lowerbound=1282872.969912, norm of subgrad 1133.198557	dualbound = 3601520.969912, lowerbound=1282872.969912, norm of subgrad 36.443391	 stepsize= 1.000000 
-dualbound = 3601569.842994, lowerbound=1290600.842994, norm of subgrad 1136.603204	dualbound = 3601569.842994, lowerbound=1290600.842994, norm of subgrad 36.261179	 stepsize= 1.000000 
-dualbound = 3601643.776466, lowerbound=1287751.776466, norm of subgrad 1135.350949	dualbound = 3601643.776466, lowerbound=1287751.776466, norm of subgrad 36.659698	 stepsize= 1.000000 
-dualbound = 3601735.333591, lowerbound=1290268.333591, norm of subgrad 1136.444162	dualbound = 3601735.333591, lowerbound=1290268.333591, norm of subgrad 36.449378	 stepsize= 1.000000 
-dualbound = 3601769.889157, lowerbound=1287906.889157, norm of subgrad 1135.415734	dualbound = 3601769.889157, lowerbound=1287906.889157, norm of subgrad 36.007715	 stepsize= 1.000000 
-dualbound = 3601874.039770, lowerbound=1290726.039770, norm of subgrad 1136.630564	dualbound = 3601874.039770, lowerbound=1290726.039770, norm of subgrad 36.154538	 stepsize= 1.000000 
-dualbound = 3601939.216277, lowerbound=1288406.216277, norm of subgrad 1135.632518	dualbound = 3601939.216277, lowerbound=1288406.216277, norm of subgrad 36.334233	 stepsize= 1.000000 
-dualbound = 3601999.387059, lowerbound=1291114.387059, norm of subgrad 1136.804463	dualbound = 3601999.387059, lowerbound=1291114.387059, norm of subgrad 35.639455	 stepsize= 1.000000 
-dualbound = 3602069.359052, lowerbound=1287697.359052, norm of subgrad 1135.308046	dualbound = 3602069.359052, lowerbound=1287697.359052, norm of subgrad 36.013497	 stepsize= 1.000000 
-dualbound = 3602134.852365, lowerbound=1290414.852365, norm of subgrad 1136.494546	dualbound = 3602134.852365, lowerbound=1290414.852365, norm of subgrad 35.643980	 stepsize= 1.000000 
-dualbound = 3602216.056948, lowerbound=1290710.056948, norm of subgrad 1136.591420	dualbound = 3602216.056948, lowerbound=1290710.056948, norm of subgrad 34.802365	 stepsize= 1.000000 
-dualbound = 3602311.253657, lowerbound=1287107.253657, norm of subgrad 1135.007601	dualbound = 3602311.253657, lowerbound=1287107.253657, norm of subgrad 35.074160	 stepsize= 1.000000 
-dualbound = 3602365.242460, lowerbound=1292426.242460, norm of subgrad 1137.366362	dualbound = 3602365.242460, lowerbound=1292426.242460, norm of subgrad 35.071196	 stepsize= 1.000000 
-dualbound = 3602429.948810, lowerbound=1290490.948810, norm of subgrad 1136.537702	dualbound = 3602429.948810, lowerbound=1290490.948810, norm of subgrad 35.940316	 stepsize= 1.000000 
-dualbound = 3602495.307057, lowerbound=1288443.307057, norm of subgrad 1135.614506	dualbound = 3602495.307057, lowerbound=1288443.307057, norm of subgrad 35.247103	 stepsize= 1.000000 
-dualbound = 3602581.775826, lowerbound=1288071.775826, norm of subgrad 1135.462362	dualbound = 3602581.775826, lowerbound=1288071.775826, norm of subgrad 35.909174	 stepsize= 1.000000 
-dualbound = 3602630.960196, lowerbound=1294056.960196, norm of subgrad 1138.101472	dualbound = 3602630.960196, lowerbound=1294056.960196, norm of subgrad 35.597533	 stepsize= 1.000000 
-dualbound = 3602691.392028, lowerbound=1287790.392028, norm of subgrad 1135.369716	dualbound = 3602691.392028, lowerbound=1287790.392028, norm of subgrad 36.529876	 stepsize= 1.000000 
-dualbound = 3602751.078862, lowerbound=1292471.078862, norm of subgrad 1137.451133	dualbound = 3602751.078862, lowerbound=1292471.078862, norm of subgrad 37.197941	 stepsize= 1.000000 
-dualbound = 3602825.048821, lowerbound=1288440.048821, norm of subgrad 1135.636847	dualbound = 3602825.048821, lowerbound=1288440.048821, norm of subgrad 36.124368	 stepsize= 1.000000 
-dualbound = 3602902.478167, lowerbound=1288852.478167, norm of subgrad 1135.825021	dualbound = 3602902.478167, lowerbound=1288852.478167, norm of subgrad 36.378968	 stepsize= 1.000000 
-dualbound = 3602958.653409, lowerbound=1288847.653409, norm of subgrad 1135.825978	dualbound = 3602958.653409, lowerbound=1288847.653409, norm of subgrad 36.182527	 stepsize= 1.000000 
-dualbound = 3603040.746509, lowerbound=1286556.746509, norm of subgrad 1134.794143	dualbound = 3603040.746509, lowerbound=1286556.746509, norm of subgrad 35.820289	 stepsize= 1.000000 
-dualbound = 3603100.763857, lowerbound=1290401.763857, norm of subgrad 1136.507265	dualbound = 3603100.763857, lowerbound=1290401.763857, norm of subgrad 36.152695	 stepsize= 1.000000 
-dualbound = 3603159.268569, lowerbound=1284839.268569, norm of subgrad 1134.069781	dualbound = 3603159.268569, lowerbound=1284839.268569, norm of subgrad 36.517184	 stepsize= 1.000000 
-dualbound = 3603230.126193, lowerbound=1290110.126194, norm of subgrad 1136.360034	dualbound = 3603230.126193, lowerbound=1290110.126194, norm of subgrad 35.705148	 stepsize= 1.000000 
-dualbound = 3603300.116463, lowerbound=1285497.116463, norm of subgrad 1134.350085	dualbound = 3603300.116463, lowerbound=1285497.116463, norm of subgrad 36.372933	 stepsize= 1.000000 
-dualbound = 3603363.034766, lowerbound=1286599.034766, norm of subgrad 1134.812335	dualbound = 3603363.034766, lowerbound=1286599.034766, norm of subgrad 35.537562	 stepsize= 1.000000 
-dualbound = 3603453.164750, lowerbound=1289558.164750, norm of subgrad 1136.109222	dualbound = 3603453.164750, lowerbound=1289558.164750, norm of subgrad 35.722962	 stepsize= 1.000000 
-dualbound = 3603525.671617, lowerbound=1289204.671617, norm of subgrad 1135.957601	dualbound = 3603525.671617, lowerbound=1289204.671617, norm of subgrad 35.602063	 stepsize= 1.000000 
-dualbound = 3603598.512203, lowerbound=1290893.512203, norm of subgrad 1136.703353	dualbound = 3603598.512203, lowerbound=1290893.512203, norm of subgrad 35.690903	 stepsize= 1.000000 
-dualbound = 3603669.015486, lowerbound=1286993.015486, norm of subgrad 1135.000447	dualbound = 3603669.015486, lowerbound=1286993.015486, norm of subgrad 36.104062	 stepsize= 1.000000 
-dualbound = 3603708.489774, lowerbound=1293566.489774, norm of subgrad 1137.909702	dualbound = 3603708.489774, lowerbound=1293566.489774, norm of subgrad 36.214283	 stepsize= 1.000000 
-dualbound = 3603780.444673, lowerbound=1285968.444673, norm of subgrad 1134.551649	dualbound = 3603780.444673, lowerbound=1285968.444673, norm of subgrad 36.207111	 stepsize= 1.000000 
-dualbound = 3603881.620468, lowerbound=1291567.620468, norm of subgrad 1136.998074	dualbound = 3603881.620468, lowerbound=1291567.620468, norm of subgrad 36.030207	 stepsize= 1.000000 
-dualbound = 3603932.153103, lowerbound=1284958.153103, norm of subgrad 1134.128808	dualbound = 3603932.153103, lowerbound=1284958.153103, norm of subgrad 36.613285	 stepsize= 1.000000 
-dualbound = 3603999.092138, lowerbound=1293926.092138, norm of subgrad 1138.063308	dualbound = 3603999.092138, lowerbound=1293926.092138, norm of subgrad 36.454616	 stepsize= 1.000000 
-dualbound = 3604077.266475, lowerbound=1289009.266475, norm of subgrad 1135.901962	dualbound = 3604077.266475, lowerbound=1289009.266475, norm of subgrad 36.635698	 stepsize= 1.000000 
-dualbound = 3604128.180228, lowerbound=1288508.180228, norm of subgrad 1135.675649	dualbound = 3604128.180228, lowerbound=1288508.180228, norm of subgrad 36.082042	 stepsize= 1.000000 
-dualbound = 3604218.421573, lowerbound=1287609.421573, norm of subgrad 1135.271959	dualbound = 3604218.421573, lowerbound=1287609.421573, norm of subgrad 36.376384	 stepsize= 1.000000 
-dualbound = 3604275.138037, lowerbound=1290626.138037, norm of subgrad 1136.596735	dualbound = 3604275.138037, lowerbound=1290626.138037, norm of subgrad 35.815031	 stepsize= 1.000000 
-dualbound = 3604358.264818, lowerbound=1285894.264818, norm of subgrad 1134.508821	dualbound = 3604358.264818, lowerbound=1285894.264818, norm of subgrad 36.043401	 stepsize= 1.000000 
-dualbound = 3604412.931574, lowerbound=1290581.931574, norm of subgrad 1136.599284	dualbound = 3604412.931574, lowerbound=1290581.931574, norm of subgrad 36.478305	 stepsize= 1.000000 
-dualbound = 3604469.248709, lowerbound=1283509.248709, norm of subgrad 1133.448388	dualbound = 3604469.248709, lowerbound=1283509.248709, norm of subgrad 35.388093	 stepsize= 1.000000 
-dualbound = 3604584.989357, lowerbound=1287530.989357, norm of subgrad 1135.221560	dualbound = 3604584.989357, lowerbound=1287530.989357, norm of subgrad 36.231763	 stepsize= 1.000000 
-dualbound = 3604630.750385, lowerbound=1285628.750385, norm of subgrad 1134.397087	dualbound = 3604630.750385, lowerbound=1285628.750385, norm of subgrad 35.689789	 stepsize= 1.000000 
-dualbound = 3604701.883403, lowerbound=1296266.883403, norm of subgrad 1139.052186	dualbound = 3604701.883403, lowerbound=1296266.883403, norm of subgrad 35.272270	 stepsize= 1.000000 
-dualbound = 3604768.712279, lowerbound=1286139.712279, norm of subgrad 1134.640786	dualbound = 3604768.712279, lowerbound=1286139.712279, norm of subgrad 36.562671	 stepsize= 1.000000 
-dualbound = 3604806.166427, lowerbound=1291121.166427, norm of subgrad 1136.831635	dualbound = 3604806.166427, lowerbound=1291121.166427, norm of subgrad 36.089530	 stepsize= 1.000000 
-dualbound = 3604879.999493, lowerbound=1285306.999493, norm of subgrad 1134.276862	dualbound = 3604879.999493, lowerbound=1285306.999493, norm of subgrad 36.753681	 stepsize= 1.000000 
-dualbound = 3604944.761584, lowerbound=1292904.761584, norm of subgrad 1137.591210	dualbound = 3604944.761584, lowerbound=1292904.761584, norm of subgrad 35.689804	 stepsize= 1.000000 
-dualbound = 3605063.293122, lowerbound=1286920.293122, norm of subgrad 1134.956957	dualbound = 3605063.293122, lowerbound=1286920.293122, norm of subgrad 36.407850	 stepsize= 1.000000 
-dualbound = 3605104.113972, lowerbound=1292393.113972, norm of subgrad 1137.375538	dualbound = 3605104.113972, lowerbound=1292393.113972, norm of subgrad 35.648574	 stepsize= 1.000000 
-dualbound = 3605178.022016, lowerbound=1285647.022016, norm of subgrad 1134.373405	dualbound = 3605178.022016, lowerbound=1285647.022016, norm of subgrad 35.070045	 stepsize= 1.000000 
-dualbound = 3605261.106225, lowerbound=1289609.106225, norm of subgrad 1136.165088	dualbound = 3605261.106225, lowerbound=1289609.106225, norm of subgrad 36.675390	 stepsize= 1.000000 
-dualbound = 3605276.064525, lowerbound=1287313.064525, norm of subgrad 1135.163893	dualbound = 3605276.064525, lowerbound=1287313.064525, norm of subgrad 36.041064	 stepsize= 1.000000 
-dualbound = 3605360.396139, lowerbound=1294059.396139, norm of subgrad 1138.116600	dualbound = 3605360.396139, lowerbound=1294059.396139, norm of subgrad 36.528504	 stepsize= 1.000000 
-dualbound = 3605460.920368, lowerbound=1284767.920368, norm of subgrad 1134.002610	dualbound = 3605460.920368, lowerbound=1284767.920368, norm of subgrad 35.979497	 stepsize= 1.000000 
-dualbound = 3605524.122100, lowerbound=1291816.122100, norm of subgrad 1137.128015	dualbound = 3605524.122100, lowerbound=1291816.122100, norm of subgrad 36.155245	 stepsize= 1.000000 
-dualbound = 3605572.797513, lowerbound=1285665.797513, norm of subgrad 1134.438098	dualbound = 3605572.797513, lowerbound=1285665.797513, norm of subgrad 36.505827	 stepsize= 1.000000 
-dualbound = 3605652.988370, lowerbound=1291281.988370, norm of subgrad 1136.914679	dualbound = 3605652.988370, lowerbound=1291281.988370, norm of subgrad 37.056590	 stepsize= 1.000000 
-dualbound = 3605710.337665, lowerbound=1291279.337665, norm of subgrad 1136.870414	dualbound = 3605710.337665, lowerbound=1291279.337665, norm of subgrad 35.388547	 stepsize= 1.000000 
-dualbound = 3605816.443436, lowerbound=1289101.443436, norm of subgrad 1135.905561	dualbound = 3605816.443436, lowerbound=1289101.443436, norm of subgrad 35.862317	 stepsize= 1.000000 
-dualbound = 3605861.923376, lowerbound=1287329.923376, norm of subgrad 1135.144010	dualbound = 3605861.923376, lowerbound=1287329.923376, norm of subgrad 35.601685	 stepsize= 1.000000 
-dualbound = 3605945.435187, lowerbound=1284519.435187, norm of subgrad 1133.886430	dualbound = 3605945.435187, lowerbound=1284519.435187, norm of subgrad 35.531842	 stepsize= 1.000000 
-dualbound = 3606008.984299, lowerbound=1290241.984299, norm of subgrad 1136.416730	dualbound = 3606008.984299, lowerbound=1290241.984299, norm of subgrad 35.560499	 stepsize= 1.000000 
-dualbound = 3606094.672662, lowerbound=1289610.672662, norm of subgrad 1136.129250	dualbound = 3606094.672662, lowerbound=1289610.672662, norm of subgrad 35.562457	 stepsize= 1.000000 
-dualbound = 3606144.774001, lowerbound=1290909.774001, norm of subgrad 1136.697310	dualbound = 3606144.774001, lowerbound=1290909.774001, norm of subgrad 34.944260	 stepsize= 1.000000 
-dualbound = 3606223.241566, lowerbound=1289152.241566, norm of subgrad 1135.940686	dualbound = 3606223.241566, lowerbound=1289152.241566, norm of subgrad 35.881298	 stepsize= 1.000000 
-dualbound = 3606268.779216, lowerbound=1289423.779216, norm of subgrad 1136.069883	dualbound = 3606268.779216, lowerbound=1289423.779216, norm of subgrad 35.728667	 stepsize= 1.000000 
-dualbound = 3606334.878781, lowerbound=1289262.878781, norm of subgrad 1135.970897	dualbound = 3606334.878781, lowerbound=1289262.878781, norm of subgrad 35.115517	 stepsize= 1.000000 
-dualbound = 3606434.794259, lowerbound=1286311.794259, norm of subgrad 1134.672549	dualbound = 3606434.794259, lowerbound=1286311.794259, norm of subgrad 35.635873	 stepsize= 1.000000 
-dualbound = 3606493.985320, lowerbound=1293437.985320, norm of subgrad 1137.823354	dualbound = 3606493.985320, lowerbound=1293437.985320, norm of subgrad 35.541399	 stepsize= 1.000000 
-dualbound = 3606539.912790, lowerbound=1285370.912790, norm of subgrad 1134.289607	dualbound = 3606539.912790, lowerbound=1285370.912790, norm of subgrad 35.887706	 stepsize= 1.000000 
-dualbound = 3606616.482076, lowerbound=1290224.482076, norm of subgrad 1136.409909	dualbound = 3606616.482076, lowerbound=1290224.482076, norm of subgrad 35.771068	 stepsize= 1.000000 
-dualbound = 3606698.251362, lowerbound=1284452.251362, norm of subgrad 1133.888994	dualbound = 3606698.251362, lowerbound=1284452.251362, norm of subgrad 36.520806	 stepsize= 1.000000 
-dualbound = 3606723.566772, lowerbound=1292961.566772, norm of subgrad 1137.631121	dualbound = 3606723.566772, lowerbound=1292961.566772, norm of subgrad 35.613416	 stepsize= 1.000000 
-dualbound = 3606818.113131, lowerbound=1287695.113131, norm of subgrad 1135.321590	dualbound = 3606818.113131, lowerbound=1287695.113131, norm of subgrad 36.804162	 stepsize= 1.000000 
-dualbound = 3606884.210061, lowerbound=1292931.210061, norm of subgrad 1137.650302	dualbound = 3606884.210061, lowerbound=1292931.210061, norm of subgrad 37.190011	 stepsize= 1.000000 
-dualbound = 3606916.252958, lowerbound=1287063.252958, norm of subgrad 1135.079844	dualbound = 3606916.252958, lowerbound=1287063.252958, norm of subgrad 37.081571	 stepsize= 1.000000 
-dualbound = 3607014.750994, lowerbound=1288987.750994, norm of subgrad 1135.892491	dualbound = 3607014.750994, lowerbound=1288987.750994, norm of subgrad 36.912031	 stepsize= 1.000000 
-dualbound = 3607098.887559, lowerbound=1292093.887559, norm of subgrad 1137.228600	dualbound = 3607098.887559, lowerbound=1292093.887559, norm of subgrad 35.765019	 stepsize= 1.000000 
-dualbound = 3607182.372973, lowerbound=1290298.372973, norm of subgrad 1136.438020	dualbound = 3607182.372973, lowerbound=1290298.372973, norm of subgrad 35.727936	 stepsize= 1.000000 
-dualbound = 3607235.628206, lowerbound=1289103.628206, norm of subgrad 1135.930292	dualbound = 3607235.628206, lowerbound=1289103.628206, norm of subgrad 35.878339	 stepsize= 1.000000 
-dualbound = 3607315.792043, lowerbound=1291854.792043, norm of subgrad 1137.125671	dualbound = 3607315.792043, lowerbound=1291854.792043, norm of subgrad 35.779377	 stepsize= 1.000000 
-dualbound = 3607365.771808, lowerbound=1285187.771808, norm of subgrad 1134.201381	dualbound = 3607365.771808, lowerbound=1285187.771808, norm of subgrad 35.706859	 stepsize= 1.000000 
-dualbound = 3607448.534782, lowerbound=1291344.534782, norm of subgrad 1136.889412	dualbound = 3607448.534782, lowerbound=1291344.534782, norm of subgrad 35.436746	 stepsize= 1.000000 
-dualbound = 3607512.002957, lowerbound=1284641.002957, norm of subgrad 1133.939153	dualbound = 3607512.002957, lowerbound=1284641.002957, norm of subgrad 35.220281	 stepsize= 1.000000 
-dualbound = 3607588.393256, lowerbound=1294257.393256, norm of subgrad 1138.194357	dualbound = 3607588.393256, lowerbound=1294257.393256, norm of subgrad 36.130185	 stepsize= 1.000000 
-dualbound = 3607627.658509, lowerbound=1282410.658509, norm of subgrad 1132.997201	dualbound = 3607627.658509, lowerbound=1282410.658509, norm of subgrad 36.211397	 stepsize= 1.000000 
-dualbound = 3607719.557485, lowerbound=1291742.557485, norm of subgrad 1137.065767	dualbound = 3607719.557485, lowerbound=1291742.557485, norm of subgrad 35.607569	 stepsize= 1.000000 
-dualbound = 3607804.596915, lowerbound=1288177.596916, norm of subgrad 1135.493988	dualbound = 3607804.596915, lowerbound=1288177.596916, norm of subgrad 35.412419	 stepsize= 1.000000 
-dualbound = 3607853.230531, lowerbound=1291512.230531, norm of subgrad 1137.007137	dualbound = 3607853.230531, lowerbound=1291512.230531, norm of subgrad 36.354279	 stepsize= 1.000000 
-dualbound = 3607915.794045, lowerbound=1285125.794045, norm of subgrad 1134.185961	dualbound = 3607915.794045, lowerbound=1285125.794045, norm of subgrad 36.256910	 stepsize= 1.000000 
-dualbound = 3607989.016483, lowerbound=1292542.016483, norm of subgrad 1137.434841	dualbound = 3607989.016483, lowerbound=1292542.016483, norm of subgrad 35.905744	 stepsize= 1.000000 
-dualbound = 3608055.909502, lowerbound=1286448.909502, norm of subgrad 1134.775268	dualbound = 3608055.909502, lowerbound=1286448.909502, norm of subgrad 36.508807	 stepsize= 1.000000 
-dualbound = 3608141.775860, lowerbound=1290161.775860, norm of subgrad 1136.374840	dualbound = 3608141.775860, lowerbound=1290161.775860, norm of subgrad 35.663235	 stepsize= 1.000000 
-dualbound = 3608206.723006, lowerbound=1289803.723006, norm of subgrad 1136.234009	dualbound = 3608206.723006, lowerbound=1289803.723006, norm of subgrad 35.901910	 stepsize= 1.000000 
-dualbound = 3608259.922059, lowerbound=1292032.922059, norm of subgrad 1137.242244	dualbound = 3608259.922059, lowerbound=1292032.922059, norm of subgrad 36.608729	 stepsize= 1.000000 
-dualbound = 3608311.048856, lowerbound=1288331.048856, norm of subgrad 1135.631564	dualbound = 3608311.048856, lowerbound=1288331.048856, norm of subgrad 37.136596	 stepsize= 1.000000 
-dualbound = 3608390.208837, lowerbound=1291478.208837, norm of subgrad 1136.979423	dualbound = 3608390.208837, lowerbound=1291478.208837, norm of subgrad 36.375266	 stepsize= 1.000000 
-dualbound = 3608438.407848, lowerbound=1292124.407848, norm of subgrad 1137.263122	dualbound = 3608438.407848, lowerbound=1292124.407848, norm of subgrad 35.933258	 stepsize= 1.000000 
-dualbound = 3608536.244565, lowerbound=1295048.244565, norm of subgrad 1138.543036	dualbound = 3608536.244565, lowerbound=1295048.244565, norm of subgrad 36.466926	 stepsize= 1.000000 
-dualbound = 3608611.783574, lowerbound=1287698.783574, norm of subgrad 1135.314399	dualbound = 3608611.783574, lowerbound=1287698.783574, norm of subgrad 36.270360	 stepsize= 1.000000 
-dualbound = 3608665.463607, lowerbound=1290567.463607, norm of subgrad 1136.589400	dualbound = 3608665.463607, lowerbound=1290567.463607, norm of subgrad 36.354918	 stepsize= 1.000000 
-dualbound = 3608726.228822, lowerbound=1286898.228822, norm of subgrad 1134.944152	dualbound = 3608726.228822, lowerbound=1286898.228822, norm of subgrad 35.507256	 stepsize= 1.000000 
-dualbound = 3608823.311067, lowerbound=1292958.311067, norm of subgrad 1137.606395	dualbound = 3608823.311067, lowerbound=1292958.311067, norm of subgrad 35.875928	 stepsize= 1.000000 
-dualbound = 3608885.453231, lowerbound=1284703.453231, norm of subgrad 1133.989618	dualbound = 3608885.453231, lowerbound=1284703.453231, norm of subgrad 35.932467	 stepsize= 1.000000 
-dualbound = 3608938.105858, lowerbound=1294772.105858, norm of subgrad 1138.430545	dualbound = 3608938.105858, lowerbound=1294772.105858, norm of subgrad 36.119975	 stepsize= 1.000000 
-dualbound = 3609006.784737, lowerbound=1287762.784737, norm of subgrad 1135.340383	dualbound = 3609006.784737, lowerbound=1287762.784737, norm of subgrad 36.106494	 stepsize= 1.000000 
-dualbound = 3609091.582728, lowerbound=1296648.582728, norm of subgrad 1139.238159	dualbound = 3609091.582728, lowerbound=1296648.582728, norm of subgrad 36.052711	 stepsize= 1.000000 
-dualbound = 3609141.988800, lowerbound=1284681.988800, norm of subgrad 1133.989413	dualbound = 3609141.988800, lowerbound=1284681.988800, norm of subgrad 36.061144	 stepsize= 1.000000 
-dualbound = 3609220.799668, lowerbound=1292408.799668, norm of subgrad 1137.367926	dualbound = 3609220.799668, lowerbound=1292408.799668, norm of subgrad 35.718495	 stepsize= 1.000000 
-dualbound = 3609279.541866, lowerbound=1286707.541866, norm of subgrad 1134.878206	dualbound = 3609279.541866, lowerbound=1286707.541866, norm of subgrad 36.051938	 stepsize= 1.000000 
-dualbound = 3609351.707281, lowerbound=1286581.707281, norm of subgrad 1134.836864	dualbound = 3609351.707281, lowerbound=1286581.707281, norm of subgrad 36.676497	 stepsize= 1.000000 
-dualbound = 3609401.818834, lowerbound=1284834.818834, norm of subgrad 1134.047979	dualbound = 3609401.818834, lowerbound=1284834.818834, norm of subgrad 35.778647	 stepsize= 1.000000 
-dualbound = 3609500.534932, lowerbound=1291387.534932, norm of subgrad 1136.914480	dualbound = 3609500.534932, lowerbound=1291387.534932, norm of subgrad 35.856884	 stepsize= 1.000000 
-dualbound = 3609568.704372, lowerbound=1288286.704372, norm of subgrad 1135.579898	dualbound = 3609568.704372, lowerbound=1288286.704372, norm of subgrad 36.375396	 stepsize= 1.000000 
-dualbound = 3609602.723820, lowerbound=1290290.723820, norm of subgrad 1136.467652	dualbound = 3609602.723820, lowerbound=1290290.723820, norm of subgrad 36.083507	 stepsize= 1.000000 
-dualbound = 3609701.961275, lowerbound=1289098.961275, norm of subgrad 1135.898306	dualbound = 3609701.961275, lowerbound=1289098.961275, norm of subgrad 35.570176	 stepsize= 1.000000 
-dualbound = 3609782.912009, lowerbound=1288950.912009, norm of subgrad 1135.867911	dualbound = 3609782.912009, lowerbound=1288950.912009, norm of subgrad 36.413606	 stepsize= 1.000000 
-dualbound = 3609821.337357, lowerbound=1288096.337357, norm of subgrad 1135.489911	dualbound = 3609821.337357, lowerbound=1288096.337357, norm of subgrad 35.769056	 stepsize= 1.000000 
-dualbound = 3609893.919216, lowerbound=1288543.919216, norm of subgrad 1135.691824	dualbound = 3609893.919216, lowerbound=1288543.919216, norm of subgrad 36.394805	 stepsize= 1.000000 
-dualbound = 3609963.773602, lowerbound=1285955.773602, norm of subgrad 1134.544743	dualbound = 3609963.773602, lowerbound=1285955.773602, norm of subgrad 36.136607	 stepsize= 1.000000 
-dualbound = 3610066.925383, lowerbound=1291075.925383, norm of subgrad 1136.795463	dualbound = 3610066.925383, lowerbound=1291075.925383, norm of subgrad 36.484953	 stepsize= 1.000000 
-dualbound = 3610100.904603, lowerbound=1288133.904603, norm of subgrad 1135.534193	dualbound = 3610100.904603, lowerbound=1288133.904603, norm of subgrad 36.578398	 stepsize= 1.000000 
-dualbound = 3610181.277263, lowerbound=1291446.277263, norm of subgrad 1136.978134	dualbound = 3610181.277263, lowerbound=1291446.277263, norm of subgrad 36.788214	 stepsize= 1.000000 
-dualbound = 3610234.258696, lowerbound=1296010.258696, norm of subgrad 1138.968067	dualbound = 3610234.258696, lowerbound=1296010.258696, norm of subgrad 35.930230	 stepsize= 1.000000 
-dualbound = 3610327.702382, lowerbound=1289206.702382, norm of subgrad 1135.977422	dualbound = 3610327.702382, lowerbound=1289206.702382, norm of subgrad 36.488953	 stepsize= 1.000000 
-dualbound = 3610386.364014, lowerbound=1287017.364014, norm of subgrad 1135.032318	dualbound = 3610386.364014, lowerbound=1287017.364014, norm of subgrad 36.601388	 stepsize= 1.000000 
-dualbound = 3610446.296347, lowerbound=1293271.296347, norm of subgrad 1137.789654	dualbound = 3610446.296347, lowerbound=1293271.296347, norm of subgrad 36.795820	 stepsize= 1.000000 
-dualbound = 3610497.690121, lowerbound=1286725.690121, norm of subgrad 1134.885320	dualbound = 3610497.690121, lowerbound=1286725.690121, norm of subgrad 35.922051	 stepsize= 1.000000 
-dualbound = 3610599.550846, lowerbound=1291453.550846, norm of subgrad 1136.951429	dualbound = 3610599.550846, lowerbound=1291453.550846, norm of subgrad 36.150529	 stepsize= 1.000000 
-dualbound = 3610651.633222, lowerbound=1291598.633222, norm of subgrad 1137.049970	dualbound = 3610651.633222, lowerbound=1291598.633222, norm of subgrad 36.552461	 stepsize= 1.000000 
-dualbound = 3610713.229751, lowerbound=1291971.229751, norm of subgrad 1137.161479	dualbound = 3610713.229751, lowerbound=1291971.229751, norm of subgrad 35.022800	 stepsize= 1.000000 
-dualbound = 3610803.704621, lowerbound=1291745.704621, norm of subgrad 1137.069349	dualbound = 3610803.704621, lowerbound=1291745.704621, norm of subgrad 35.657746	 stepsize= 1.000000 
-dualbound = 3610851.442862, lowerbound=1287522.442862, norm of subgrad 1135.230128	dualbound = 3610851.442862, lowerbound=1287522.442862, norm of subgrad 35.675457	 stepsize= 1.000000 
-dualbound = 3610928.430585, lowerbound=1290416.430585, norm of subgrad 1136.491720	dualbound = 3610928.430585, lowerbound=1290416.430585, norm of subgrad 35.692965	 stepsize= 1.000000 
-dualbound = 3611020.590959, lowerbound=1288099.590959, norm of subgrad 1135.449511	dualbound = 3611020.590959, lowerbound=1288099.590959, norm of subgrad 35.187503	 stepsize= 1.000000 
-dualbound = 3611084.993239, lowerbound=1286116.993239, norm of subgrad 1134.609181	dualbound = 3611084.993239, lowerbound=1286116.993239, norm of subgrad 35.852507	 stepsize= 1.000000 
-dualbound = 3611135.409264, lowerbound=1292886.409264, norm of subgrad 1137.568200	dualbound = 3611135.409264, lowerbound=1292886.409264, norm of subgrad 35.005943	 stepsize= 1.000000 
-dualbound = 3611211.383352, lowerbound=1286175.383352, norm of subgrad 1134.669724	dualbound = 3611211.383352, lowerbound=1286175.383352, norm of subgrad 37.094125	 stepsize= 1.000000 
-dualbound = 3611255.161291, lowerbound=1289883.161291, norm of subgrad 1136.293607	dualbound = 3611255.161291, lowerbound=1289883.161291, norm of subgrad 36.383759	 stepsize= 1.000000 
-dualbound = 3611320.766285, lowerbound=1289953.766285, norm of subgrad 1136.302234	dualbound = 3611320.766285, lowerbound=1289953.766285, norm of subgrad 35.980620	 stepsize= 1.000000 
-dualbound = 3611444.719832, lowerbound=1287400.719832, norm of subgrad 1135.196776	dualbound = 3611444.719832, lowerbound=1287400.719832, norm of subgrad 37.349077	 stepsize= 1.000000 
-dualbound = 3611449.198134, lowerbound=1288479.198134, norm of subgrad 1135.666411	dualbound = 3611449.198134, lowerbound=1288479.198134, norm of subgrad 35.545440	 stepsize= 1.000000 
-dualbound = 3611563.727337, lowerbound=1290844.727337, norm of subgrad 1136.684973	dualbound = 3611563.727337, lowerbound=1290844.727337, norm of subgrad 36.366595	 stepsize= 1.000000 
-dualbound = 3611638.439345, lowerbound=1286465.439345, norm of subgrad 1134.780349	dualbound = 3611638.439345, lowerbound=1286465.439345, norm of subgrad 36.547394	 stepsize= 1.000000 
-dualbound = 3611684.803722, lowerbound=1289256.803722, norm of subgrad 1135.980107	dualbound = 3611684.803722, lowerbound=1289256.803722, norm of subgrad 35.218807	 stepsize= 1.000000 
-dualbound = 3611771.297238, lowerbound=1287348.297239, norm of subgrad 1135.162234	dualbound = 3611771.297238, lowerbound=1287348.297239, norm of subgrad 36.489636	 stepsize= 1.000000 
-dualbound = 3611832.384775, lowerbound=1290938.384775, norm of subgrad 1136.732328	dualbound = 3611832.384775, lowerbound=1290938.384775, norm of subgrad 35.820211	 stepsize= 1.000000 
-dualbound = 3611895.258453, lowerbound=1288886.258453, norm of subgrad 1135.839891	dualbound = 3611895.258453, lowerbound=1288886.258453, norm of subgrad 36.178359	 stepsize= 1.000000 
-dualbound = 3611973.875467, lowerbound=1288038.875467, norm of subgrad 1135.436425	dualbound = 3611973.875467, lowerbound=1288038.875467, norm of subgrad 35.434687	 stepsize= 1.000000 
-dualbound = 3612044.429201, lowerbound=1291282.429201, norm of subgrad 1136.887166	dualbound = 3612044.429201, lowerbound=1291282.429201, norm of subgrad 36.063191	 stepsize= 1.000000 
-dualbound = 3612101.473170, lowerbound=1289850.473170, norm of subgrad 1136.252381	dualbound = 3612101.473170, lowerbound=1289850.473170, norm of subgrad 35.721758	 stepsize= 1.000000 
-dualbound = 3612181.944503, lowerbound=1284671.944504, norm of subgrad 1133.984543	dualbound = 3612181.944503, lowerbound=1284671.944504, norm of subgrad 36.461916	 stepsize= 1.000000 
-dualbound = 3612239.238950, lowerbound=1293940.238950, norm of subgrad 1138.068644	dualbound = 3612239.238950, lowerbound=1293940.238950, norm of subgrad 36.294551	 stepsize= 1.000000 
-dualbound = 3612308.274703, lowerbound=1286545.274703, norm of subgrad 1134.797460	dualbound = 3612308.274703, lowerbound=1286545.274703, norm of subgrad 35.903144	 stepsize= 1.000000 
-dualbound = 3612391.162250, lowerbound=1295148.162250, norm of subgrad 1138.566275	dualbound = 3612391.162250, lowerbound=1295148.162250, norm of subgrad 35.607409	 stepsize= 1.000000 
-dualbound = 3612471.255154, lowerbound=1286738.255154, norm of subgrad 1134.855169	dualbound = 3612471.255154, lowerbound=1286738.255154, norm of subgrad 35.186544	 stepsize= 1.000000 
-dualbound = 3612538.939460, lowerbound=1291193.939460, norm of subgrad 1136.839012	dualbound = 3612538.939460, lowerbound=1291193.939460, norm of subgrad 35.730719	 stepsize= 1.000000 
-dualbound = 3612579.723376, lowerbound=1288656.723376, norm of subgrad 1135.745448	dualbound = 3612579.723376, lowerbound=1288656.723376, norm of subgrad 36.080243	 stepsize= 1.000000 
-dualbound = 3612625.074924, lowerbound=1294231.074924, norm of subgrad 1138.182356	dualbound = 3612625.074924, lowerbound=1294231.074924, norm of subgrad 35.684052	 stepsize= 1.000000 
-dualbound = 3612728.636240, lowerbound=1287561.636240, norm of subgrad 1135.276458	dualbound = 3612728.636240, lowerbound=1287561.636240, norm of subgrad 37.343826	 stepsize= 1.000000 
-dualbound = 3612769.386276, lowerbound=1294503.386276, norm of subgrad 1138.335797	dualbound = 3612769.386276, lowerbound=1294503.386276, norm of subgrad 36.684466	 stepsize= 1.000000 
-dualbound = 3612838.716764, lowerbound=1288948.716764, norm of subgrad 1135.879711	dualbound = 3612838.716764, lowerbound=1288948.716764, norm of subgrad 36.651473	 stepsize= 1.000000 
-dualbound = 3612887.339689, lowerbound=1291297.339689, norm of subgrad 1136.905598	dualbound = 3612887.339689, lowerbound=1291297.339689, norm of subgrad 36.133405	 stepsize= 1.000000 
-dualbound = 3612994.942858, lowerbound=1282396.942858, norm of subgrad 1132.951430	dualbound = 3612994.942858, lowerbound=1282396.942858, norm of subgrad 35.911045	 stepsize= 1.000000 
-dualbound = 3613065.805764, lowerbound=1292071.805764, norm of subgrad 1137.246150	dualbound = 3613065.805764, lowerbound=1292071.805764, norm of subgrad 36.439853	 stepsize= 1.000000 
-dualbound = 3613101.745622, lowerbound=1285705.745622, norm of subgrad 1134.443805	dualbound = 3613101.745622, lowerbound=1285705.745622, norm of subgrad 35.957473	 stepsize= 1.000000 
-dualbound = 3613206.862761, lowerbound=1292078.862761, norm of subgrad 1137.225951	dualbound = 3613206.862761, lowerbound=1292078.862761, norm of subgrad 36.181724	 stepsize= 1.000000 
-dualbound = 3613245.891561, lowerbound=1289337.891561, norm of subgrad 1136.042205	dualbound = 3613245.891561, lowerbound=1289337.891561, norm of subgrad 35.958710	 stepsize= 1.000000 
-dualbound = 3613328.093197, lowerbound=1295218.093197, norm of subgrad 1138.603572	dualbound = 3613328.093197, lowerbound=1295218.093197, norm of subgrad 35.807843	 stepsize= 1.000000 
-dualbound = 3613400.805915, lowerbound=1290232.805915, norm of subgrad 1136.396852	dualbound = 3613400.805915, lowerbound=1290232.805915, norm of subgrad 35.181141	 stepsize= 1.000000 
-dualbound = 3613505.222816, lowerbound=1286729.222816, norm of subgrad 1134.882471	dualbound = 3613505.222816, lowerbound=1286729.222816, norm of subgrad 36.515981	 stepsize= 1.000000 
-dualbound = 3613512.995381, lowerbound=1289178.995381, norm of subgrad 1135.957744	dualbound = 3613512.995381, lowerbound=1289178.995381, norm of subgrad 35.053852	 stepsize= 1.000000 
-dualbound = 3613610.691438, lowerbound=1291864.691438, norm of subgrad 1137.181468	dualbound = 3613610.691438, lowerbound=1291864.691438, norm of subgrad 37.612446	 stepsize= 1.000000 
-dualbound = 3613652.033307, lowerbound=1289919.033307, norm of subgrad 1136.284750	dualbound = 3613652.033307, lowerbound=1289919.033307, norm of subgrad 35.571644	 stepsize= 1.000000 
-dualbound = 3613723.500972, lowerbound=1292561.500972, norm of subgrad 1137.473297	dualbound = 3613723.500972, lowerbound=1292561.500972, norm of subgrad 36.816676	 stepsize= 1.000000 
-dualbound = 3613798.848599, lowerbound=1289482.848599, norm of subgrad 1136.109523	dualbound = 3613798.848599, lowerbound=1289482.848599, norm of subgrad 36.569764	 stepsize= 1.000000 
-dualbound = 3613856.892748, lowerbound=1285624.892748, norm of subgrad 1134.408609	dualbound = 3613856.892748, lowerbound=1285624.892748, norm of subgrad 36.277323	 stepsize= 1.000000 
-dualbound = 3613909.836005, lowerbound=1291474.836005, norm of subgrad 1136.986735	dualbound = 3613909.836005, lowerbound=1291474.836005, norm of subgrad 36.289713	 stepsize= 1.000000 
-dualbound = 3614010.954210, lowerbound=1294131.954210, norm of subgrad 1138.136176	dualbound = 3614010.954210, lowerbound=1294131.954210, norm of subgrad 36.374692	 stepsize= 1.000000 
-dualbound = 3614085.052883, lowerbound=1287059.052883, norm of subgrad 1134.996499	dualbound = 3614085.052883, lowerbound=1287059.052883, norm of subgrad 35.101263	 stepsize= 1.000000 
-dualbound = 3614164.867581, lowerbound=1294312.867581, norm of subgrad 1138.198519	dualbound = 3614164.867581, lowerbound=1294312.867581, norm of subgrad 35.536104	 stepsize= 1.000000 
-dualbound = 3614213.235931, lowerbound=1289058.235931, norm of subgrad 1135.904149	dualbound = 3614213.235931, lowerbound=1289058.235931, norm of subgrad 35.614159	 stepsize= 1.000000 
-dualbound = 3614269.326296, lowerbound=1289202.326296, norm of subgrad 1135.996182	dualbound = 3614269.326296, lowerbound=1289202.326296, norm of subgrad 36.620901	 stepsize= 1.000000 
-dualbound = 3614307.942268, lowerbound=1288200.942268, norm of subgrad 1135.553144	dualbound = 3614307.942268, lowerbound=1288200.942268, norm of subgrad 36.312752	 stepsize= 1.000000 
-dualbound = 3614410.048211, lowerbound=1289192.048211, norm of subgrad 1135.979334	dualbound = 3614410.048211, lowerbound=1289192.048211, norm of subgrad 36.866054	 stepsize= 1.000000 
-dualbound = 3614464.107982, lowerbound=1291786.107982, norm of subgrad 1137.124931	dualbound = 3614464.107982, lowerbound=1291786.107982, norm of subgrad 36.346386	 stepsize= 1.000000 
-dualbound = 3614536.902244, lowerbound=1289126.902244, norm of subgrad 1135.930853	dualbound = 3614536.902244, lowerbound=1289126.902244, norm of subgrad 35.844027	 stepsize= 1.000000 
-dualbound = 3614595.970429, lowerbound=1294317.970429, norm of subgrad 1138.217014	dualbound = 3614595.970429, lowerbound=1294317.970429, norm of subgrad 35.764063	 stepsize= 1.000000 
-dualbound = 3614686.988750, lowerbound=1287576.988750, norm of subgrad 1135.251509	dualbound = 3614686.988750, lowerbound=1287576.988750, norm of subgrad 36.194175	 stepsize= 1.000000 
-dualbound = 3614750.726991, lowerbound=1289052.726991, norm of subgrad 1135.911408	dualbound = 3614750.726991, lowerbound=1289052.726991, norm of subgrad 36.135000	 stepsize= 1.000000 
-dualbound = 3614790.374570, lowerbound=1290711.374570, norm of subgrad 1136.643469	dualbound = 3614790.374570, lowerbound=1290711.374570, norm of subgrad 35.869870	 stepsize= 1.000000 
-dualbound = 3614881.244744, lowerbound=1290909.244744, norm of subgrad 1136.717311	dualbound = 3614881.244744, lowerbound=1290909.244744, norm of subgrad 36.164488	 stepsize= 1.000000 
-dualbound = 3614954.009351, lowerbound=1295649.009351, norm of subgrad 1138.801128	dualbound = 3614954.009351, lowerbound=1295649.009351, norm of subgrad 35.941127	 stepsize= 1.000000 
-dualbound = 3615000.345564, lowerbound=1291623.345564, norm of subgrad 1137.038410	dualbound = 3615000.345564, lowerbound=1291623.345564, norm of subgrad 35.767810	 stepsize= 1.000000 
-dualbound = 3615089.224468, lowerbound=1285897.224468, norm of subgrad 1134.503515	dualbound = 3615089.224468, lowerbound=1285897.224468, norm of subgrad 35.914884	 stepsize= 1.000000 
-dualbound = 3615135.461273, lowerbound=1293918.461273, norm of subgrad 1138.050289	dualbound = 3615135.461273, lowerbound=1293918.461273, norm of subgrad 35.864144	 stepsize= 1.000000 
-dualbound = 3615211.174136, lowerbound=1296369.174136, norm of subgrad 1139.136153	dualbound = 3615211.174136, lowerbound=1296369.174136, norm of subgrad 36.574757	 stepsize= 1.000000 
-dualbound = 3615269.942411, lowerbound=1288493.942411, norm of subgrad 1135.677306	dualbound = 3615269.942411, lowerbound=1288493.942411, norm of subgrad 36.438555	 stepsize= 1.000000 
-dualbound = 3615332.410340, lowerbound=1291576.410340, norm of subgrad 1137.038878	dualbound = 3615332.410340, lowerbound=1291576.410340, norm of subgrad 36.653348	 stepsize= 1.000000 
-dualbound = 3615389.462823, lowerbound=1296529.462823, norm of subgrad 1139.211334	dualbound = 3615389.462823, lowerbound=1296529.462823, norm of subgrad 36.469885	 stepsize= 1.000000 
-dualbound = 3615482.389711, lowerbound=1285916.389711, norm of subgrad 1134.513283	dualbound = 3615482.389711, lowerbound=1285916.389711, norm of subgrad 36.012871	 stepsize= 1.000000 
-dualbound = 3615548.047166, lowerbound=1294752.047166, norm of subgrad 1138.420857	dualbound = 3615548.047166, lowerbound=1294752.047166, norm of subgrad 36.271993	 stepsize= 1.000000 
-dualbound = 3615624.936528, lowerbound=1286977.936528, norm of subgrad 1134.985875	dualbound = 3615624.936528, lowerbound=1286977.936528, norm of subgrad 35.942862	 stepsize= 1.000000 
-dualbound = 3615691.853152, lowerbound=1289494.853152, norm of subgrad 1136.133290	dualbound = 3615691.853152, lowerbound=1289494.853152, norm of subgrad 37.025891	 stepsize= 1.000000 
-dualbound = 3615738.612348, lowerbound=1287982.612348, norm of subgrad 1135.419575	dualbound = 3615738.612348, lowerbound=1287982.612348, norm of subgrad 35.238604	 stepsize= 1.000000 
-dualbound = 3615861.175353, lowerbound=1297517.175353, norm of subgrad 1139.560519	dualbound = 3615861.175353, lowerbound=1297517.175353, norm of subgrad 34.692406	 stepsize= 1.000000 
-dualbound = 3615939.035771, lowerbound=1285952.035771, norm of subgrad 1134.499906	dualbound = 3615939.035771, lowerbound=1285952.035771, norm of subgrad 34.869190	 stepsize= 1.000000 
-dualbound = 3615966.454209, lowerbound=1293737.454209, norm of subgrad 1137.987458	dualbound = 3615966.454209, lowerbound=1293737.454209, norm of subgrad 36.130575	 stepsize= 1.000000 
-dualbound = 3616025.809157, lowerbound=1292366.809157, norm of subgrad 1137.347708	dualbound = 3616025.809157, lowerbound=1292366.809157, norm of subgrad 35.388627	 stepsize= 1.000000 
-dualbound = 3616091.749285, lowerbound=1292684.749285, norm of subgrad 1137.501099	dualbound = 3616091.749285, lowerbound=1292684.749285, norm of subgrad 35.915736	 stepsize= 1.000000 
-dualbound = 3616173.149417, lowerbound=1285843.149417, norm of subgrad 1134.481886	dualbound = 3616173.149417, lowerbound=1285843.149417, norm of subgrad 35.880359	 stepsize= 1.000000 
-dualbound = 3616244.602429, lowerbound=1296890.602429, norm of subgrad 1139.361489	dualbound = 3616244.602429, lowerbound=1296890.602429, norm of subgrad 36.406772	 stepsize= 1.000000 
-dualbound = 3616283.362272, lowerbound=1284557.362272, norm of subgrad 1133.919910	dualbound = 3616283.362272, lowerbound=1284557.362272, norm of subgrad 35.436702	 stepsize= 1.000000 
-dualbound = 3616355.640444, lowerbound=1295186.640444, norm of subgrad 1138.606008	dualbound = 3616355.640444, lowerbound=1295186.640444, norm of subgrad 36.183949	 stepsize= 1.000000 
-dualbound = 3616427.673746, lowerbound=1292851.673746, norm of subgrad 1137.565679	dualbound = 3616427.673746, lowerbound=1292851.673746, norm of subgrad 35.721608	 stepsize= 1.000000 
-dualbound = 3616500.213011, lowerbound=1291297.213011, norm of subgrad 1136.890150	dualbound = 3616500.213011, lowerbound=1291297.213011, norm of subgrad 35.979706	 stepsize= 1.000000 
-dualbound = 3616554.191906, lowerbound=1287881.191906, norm of subgrad 1135.424675	dualbound = 3616554.191906, lowerbound=1287881.191906, norm of subgrad 36.904998	 stepsize= 1.000000 
-dualbound = 3616601.242455, lowerbound=1292942.242455, norm of subgrad 1137.616035	dualbound = 3616601.242455, lowerbound=1292942.242455, norm of subgrad 35.707850	 stepsize= 1.000000 
-dualbound = 3616712.256039, lowerbound=1284007.256039, norm of subgrad 1133.698486	dualbound = 3616712.256039, lowerbound=1284007.256039, norm of subgrad 37.094657	 stepsize= 1.000000 
-dualbound = 3616736.278461, lowerbound=1287594.278461, norm of subgrad 1135.322984	dualbound = 3616736.278461, lowerbound=1287594.278461, norm of subgrad 37.256173	 stepsize= 1.000000 
-dualbound = 3616815.761067, lowerbound=1294230.761067, norm of subgrad 1138.189686	dualbound = 3616815.761067, lowerbound=1294230.761067, norm of subgrad 36.393442	 stepsize= 1.000000 
-dualbound = 3616915.252253, lowerbound=1293267.252253, norm of subgrad 1137.731186	dualbound = 3616915.252253, lowerbound=1293267.252253, norm of subgrad 35.559685	 stepsize= 1.000000 
-dualbound = 3616983.852136, lowerbound=1290232.852136, norm of subgrad 1136.430751	dualbound = 3616983.852136, lowerbound=1290232.852136, norm of subgrad 36.202208	 stepsize= 1.000000 
-dualbound = 3617038.679851, lowerbound=1294824.679851, norm of subgrad 1138.429480	dualbound = 3617038.679851, lowerbound=1294824.679851, norm of subgrad 35.381177	 stepsize= 1.000000 
-dualbound = 3617126.491778, lowerbound=1287387.491778, norm of subgrad 1135.167605	dualbound = 3617126.491778, lowerbound=1287387.491778, norm of subgrad 36.136020	 stepsize= 1.000000 
-dualbound = 3617163.650933, lowerbound=1294214.650933, norm of subgrad 1138.170308	dualbound = 3617163.650933, lowerbound=1294214.650933, norm of subgrad 35.414110	 stepsize= 1.000000 
-dualbound = 3617258.278705, lowerbound=1289738.278705, norm of subgrad 1136.194208	dualbound = 3617258.278705, lowerbound=1289738.278705, norm of subgrad 35.967037	 stepsize= 1.000000 
-dualbound = 3617313.460211, lowerbound=1289518.460211, norm of subgrad 1136.090868	dualbound = 3617313.460211, lowerbound=1289518.460211, norm of subgrad 35.202010	 stepsize= 1.000000 
-dualbound = 3617378.712747, lowerbound=1289513.712747, norm of subgrad 1136.112544	dualbound = 3617378.712747, lowerbound=1289513.712747, norm of subgrad 36.100589	 stepsize= 1.000000 
-dualbound = 3617443.472252, lowerbound=1288639.472252, norm of subgrad 1135.685023	dualbound = 3617443.472252, lowerbound=1288639.472252, norm of subgrad 34.724048	 stepsize= 1.000000 
-dualbound = 3617523.909736, lowerbound=1290739.909736, norm of subgrad 1136.638865	dualbound = 3617523.909736, lowerbound=1290739.909736, norm of subgrad 35.894811	 stepsize= 1.000000 
-dualbound = 3617558.089463, lowerbound=1290002.089463, norm of subgrad 1136.316017	dualbound = 3617558.089463, lowerbound=1290002.089463, norm of subgrad 35.301271	 stepsize= 1.000000 
-dualbound = 3617658.552377, lowerbound=1285741.552377, norm of subgrad 1134.408900	dualbound = 3617658.552377, lowerbound=1285741.552377, norm of subgrad 35.248587	 stepsize= 1.000000 
-dualbound = 3617728.709110, lowerbound=1290892.709110, norm of subgrad 1136.736869	dualbound = 3617728.709110, lowerbound=1290892.709110, norm of subgrad 36.717254	 stepsize= 1.000000 
-dualbound = 3617728.095813, lowerbound=1289593.095813, norm of subgrad 1136.153641	dualbound = 3617728.095813, lowerbound=1289593.095813, norm of subgrad 35.374945	 stepsize= 1.000000 
-dualbound = 3617838.697185, lowerbound=1291065.697185, norm of subgrad 1136.798442	dualbound = 3617838.697185, lowerbound=1291065.697185, norm of subgrad 36.818492	 stepsize= 1.000000 
-dualbound = 3617916.650149, lowerbound=1295688.650149, norm of subgrad 1138.820728	dualbound = 3617916.650149, lowerbound=1295688.650149, norm of subgrad 36.082585	 stepsize= 1.000000 
-dualbound = 3617950.419798, lowerbound=1293130.419798, norm of subgrad 1137.736973	dualbound = 3617950.419798, lowerbound=1293130.419798, norm of subgrad 36.725599	 stepsize= 1.000000 
-dualbound = 3618006.104136, lowerbound=1290909.104136, norm of subgrad 1136.741881	dualbound = 3618006.104136, lowerbound=1290909.104136, norm of subgrad 36.451123	 stepsize= 1.000000 
-dualbound = 3618092.278411, lowerbound=1291220.278411, norm of subgrad 1136.885341	dualbound = 3618092.278411, lowerbound=1291220.278411, norm of subgrad 37.069857	 stepsize= 1.000000 
-dualbound = 3618162.972838, lowerbound=1290914.972838, norm of subgrad 1136.741823	dualbound = 3618162.972838, lowerbound=1290914.972838, norm of subgrad 36.574505	 stepsize= 1.000000 
-dualbound = 3618235.315259, lowerbound=1293150.315259, norm of subgrad 1137.709680	dualbound = 3618235.315259, lowerbound=1293150.315259, norm of subgrad 36.129523	 stepsize= 1.000000 
-dualbound = 3618297.560960, lowerbound=1292725.560960, norm of subgrad 1137.527829	dualbound = 3618297.560960, lowerbound=1292725.560960, norm of subgrad 36.142021	 stepsize= 1.000000 
-dualbound = 3618363.133664, lowerbound=1295429.133664, norm of subgrad 1138.732248	dualbound = 3618363.133664, lowerbound=1295429.133664, norm of subgrad 36.709300	 stepsize= 1.000000 
-dualbound = 3618425.082621, lowerbound=1292086.082621, norm of subgrad 1137.256824	dualbound = 3618425.082621, lowerbound=1292086.082621, norm of subgrad 36.454752	 stepsize= 1.000000 
-dualbound = 3618491.389556, lowerbound=1291036.389556, norm of subgrad 1136.750804	dualbound = 3618491.389556, lowerbound=1291036.389556, norm of subgrad 35.104230	 stepsize= 1.000000 
-dualbound = 3618586.868290, lowerbound=1293536.868290, norm of subgrad 1137.867685	dualbound = 3618586.868290, lowerbound=1293536.868290, norm of subgrad 36.076013	 stepsize= 1.000000 
-dualbound = 3618653.055952, lowerbound=1293076.055952, norm of subgrad 1137.660782	dualbound = 3618653.055952, lowerbound=1293076.055952, norm of subgrad 35.527281	 stepsize= 1.000000 
-dualbound = 3618734.587450, lowerbound=1290978.587450, norm of subgrad 1136.735496	dualbound = 3618734.587450, lowerbound=1290978.587450, norm of subgrad 35.644516	 stepsize= 1.000000 
-dualbound = 3618788.049604, lowerbound=1288489.049604, norm of subgrad 1135.631124	dualbound = 3618788.049604, lowerbound=1288489.049604, norm of subgrad 34.963726	 stepsize= 1.000000 
-dualbound = 3618865.989290, lowerbound=1296664.989290, norm of subgrad 1139.232632	dualbound = 3618865.989290, lowerbound=1296664.989290, norm of subgrad 35.551929	 stepsize= 1.000000 
-dualbound = 3618928.774561, lowerbound=1287769.774561, norm of subgrad 1135.322322	dualbound = 3618928.774561, lowerbound=1287769.774561, norm of subgrad 35.352302	 stepsize= 1.000000 
-dualbound = 3618997.506428, lowerbound=1297320.506428, norm of subgrad 1139.570755	dualbound = 3618997.506428, lowerbound=1297320.506428, norm of subgrad 37.009889	 stepsize= 1.000000 
-dualbound = 3619042.096514, lowerbound=1286278.096514, norm of subgrad 1134.693834	dualbound = 3619042.096514, lowerbound=1286278.096514, norm of subgrad 36.008195	 stepsize= 1.000000 
-dualbound = 3619141.801312, lowerbound=1294652.801312, norm of subgrad 1138.331587	dualbound = 3619141.801312, lowerbound=1294652.801312, norm of subgrad 35.294543	 stepsize= 1.000000 
-dualbound = 3619204.200750, lowerbound=1287379.200750, norm of subgrad 1135.168798	dualbound = 3619204.200750, lowerbound=1287379.200750, norm of subgrad 35.936046	 stepsize= 1.000000 
-dualbound = 3619252.019284, lowerbound=1290075.019284, norm of subgrad 1136.370107	dualbound = 3619252.019284, lowerbound=1290075.019284, norm of subgrad 36.191415	 stepsize= 1.000000 
-dualbound = 3619325.982609, lowerbound=1288340.982609, norm of subgrad 1135.587946	dualbound = 3619325.982609, lowerbound=1288340.982609, norm of subgrad 35.957799	 stepsize= 1.000000 
-dualbound = 3619391.825900, lowerbound=1291489.825900, norm of subgrad 1136.966502	dualbound = 3619391.825900, lowerbound=1291489.825900, norm of subgrad 35.620827	 stepsize= 1.000000 
-dualbound = 3619461.085425, lowerbound=1287229.085425, norm of subgrad 1135.070080	dualbound = 3619461.085425, lowerbound=1287229.085425, norm of subgrad 34.989420	 stepsize= 1.000000 
-dualbound = 3619538.336253, lowerbound=1295600.336253, norm of subgrad 1138.789856	dualbound = 3619538.336253, lowerbound=1295600.336253, norm of subgrad 36.321493	 stepsize= 1.000000 
-dualbound = 3619574.965845, lowerbound=1289737.965845, norm of subgrad 1136.218714	dualbound = 3619574.965845, lowerbound=1289737.965845, norm of subgrad 35.939249	 stepsize= 1.000000 
-dualbound = 3619636.919455, lowerbound=1290965.919455, norm of subgrad 1136.762473	dualbound = 3619636.919455, lowerbound=1290965.919455, norm of subgrad 36.399912	 stepsize= 1.000000 
-dualbound = 3619726.775463, lowerbound=1288867.775463, norm of subgrad 1135.804462	dualbound = 3619726.775463, lowerbound=1288867.775463, norm of subgrad 35.691119	 stepsize= 1.000000 
-dualbound = 3619761.303267, lowerbound=1295198.303267, norm of subgrad 1138.626499	dualbound = 3619761.303267, lowerbound=1295198.303267, norm of subgrad 36.145924	 stepsize= 1.000000 
-dualbound = 3619823.443761, lowerbound=1288194.443761, norm of subgrad 1135.541036	dualbound = 3619823.443761, lowerbound=1288194.443761, norm of subgrad 36.347496	 stepsize= 1.000000 
-dualbound = 3619923.339546, lowerbound=1293377.339546, norm of subgrad 1137.803735	dualbound = 3619923.339546, lowerbound=1293377.339546, norm of subgrad 36.330370	 stepsize= 1.000000 
-dualbound = 3619990.878188, lowerbound=1294087.878188, norm of subgrad 1138.115934	dualbound = 3619990.878188, lowerbound=1294087.878188, norm of subgrad 35.882289	 stepsize= 1.000000 
-dualbound = 3620074.005087, lowerbound=1286312.005087, norm of subgrad 1134.700403	dualbound = 3620074.005087, lowerbound=1286312.005087, norm of subgrad 36.278463	 stepsize= 1.000000 
-dualbound = 3620098.935334, lowerbound=1288840.935334, norm of subgrad 1135.808494	dualbound = 3620098.935334, lowerbound=1288840.935334, norm of subgrad 35.283569	 stepsize= 1.000000 
-dualbound = 3620203.051362, lowerbound=1296303.051362, norm of subgrad 1139.065429	dualbound = 3620203.051362, lowerbound=1296303.051362, norm of subgrad 35.652714	 stepsize= 1.000000 
-dualbound = 3620280.435380, lowerbound=1297149.435380, norm of subgrad 1139.443037	dualbound = 3620280.435380, lowerbound=1297149.435380, norm of subgrad 35.473709	 stepsize= 1.000000 
-dualbound = 3620346.023906, lowerbound=1290743.023906, norm of subgrad 1136.643314	dualbound = 3620346.023906, lowerbound=1290743.023906, norm of subgrad 35.785312	 stepsize= 1.000000 
-dualbound = 3620390.388291, lowerbound=1291509.388291, norm of subgrad 1136.968508	dualbound = 3620390.388291, lowerbound=1291509.388291, norm of subgrad 35.105048	 stepsize= 1.000000 
-dualbound = 3620492.461079, lowerbound=1294184.461079, norm of subgrad 1138.171543	dualbound = 3620492.461079, lowerbound=1294184.461079, norm of subgrad 36.770542	 stepsize= 1.000000 
-dualbound = 3620524.477460, lowerbound=1293231.477460, norm of subgrad 1137.744909	dualbound = 3620524.477460, lowerbound=1293231.477460, norm of subgrad 35.553008	 stepsize= 1.000000 
-dualbound = 3620600.715142, lowerbound=1295713.715142, norm of subgrad 1138.834806	dualbound = 3620600.715142, lowerbound=1295713.715142, norm of subgrad 36.155742	 stepsize= 1.000000 
-dualbound = 3620666.168647, lowerbound=1289115.168647, norm of subgrad 1135.938453	dualbound = 3620666.168647, lowerbound=1289115.168647, norm of subgrad 36.144896	 stepsize= 1.000000 
-dualbound = 3620732.083620, lowerbound=1289738.083620, norm of subgrad 1136.201603	dualbound = 3620732.083620, lowerbound=1289738.083620, norm of subgrad 35.803840	 stepsize= 1.000000 
-dualbound = 3620793.880080, lowerbound=1294986.880080, norm of subgrad 1138.545950	dualbound = 3620793.880080, lowerbound=1294986.880080, norm of subgrad 36.902526	 stepsize= 1.000000 
-dualbound = 3620839.090311, lowerbound=1297838.090311, norm of subgrad 1139.776333	dualbound = 3620839.090311, lowerbound=1297838.090311, norm of subgrad 36.016805	 stepsize= 1.000000 
-dualbound = 3620934.080184, lowerbound=1287747.080184, norm of subgrad 1135.329503	dualbound = 3620934.080184, lowerbound=1287747.080184, norm of subgrad 36.345424	 stepsize= 1.000000 
-dualbound = 3620988.653962, lowerbound=1290662.653962, norm of subgrad 1136.617638	dualbound = 3620988.653962, lowerbound=1290662.653962, norm of subgrad 35.938472	 stepsize= 1.000000 
-dualbound = 3621058.860908, lowerbound=1294184.860908, norm of subgrad 1138.167765	dualbound = 3621058.860908, lowerbound=1294184.860908, norm of subgrad 36.210592	 stepsize= 1.000000 
-dualbound = 3621127.685003, lowerbound=1292929.685003, norm of subgrad 1137.603483	dualbound = 3621127.685003, lowerbound=1292929.685003, norm of subgrad 35.788603	 stepsize= 1.000000 
-dualbound = 3621219.444882, lowerbound=1291068.444882, norm of subgrad 1136.770621	dualbound = 3621219.444882, lowerbound=1291068.444882, norm of subgrad 35.647719	 stepsize= 1.000000 
-dualbound = 3621253.593478, lowerbound=1293565.593478, norm of subgrad 1137.893490	dualbound = 3621253.593478, lowerbound=1293565.593478, norm of subgrad 35.639144	 stepsize= 1.000000 
-dualbound = 3621327.083106, lowerbound=1288637.083106, norm of subgrad 1135.729318	dualbound = 3621327.083106, lowerbound=1288637.083106, norm of subgrad 36.297240	 stepsize= 1.000000 
-dualbound = 3621388.858467, lowerbound=1294557.858467, norm of subgrad 1138.331612	dualbound = 3621388.858467, lowerbound=1294557.858467, norm of subgrad 36.093980	 stepsize= 1.000000 
-dualbound = 3621460.212883, lowerbound=1287710.212883, norm of subgrad 1135.308862	dualbound = 3621460.212883, lowerbound=1287710.212883, norm of subgrad 35.879722	 stepsize= 1.000000 
-dualbound = 3621539.861389, lowerbound=1294057.861389, norm of subgrad 1138.089567	dualbound = 3621539.861389, lowerbound=1294057.861389, norm of subgrad 35.632127	 stepsize= 1.000000 
-dualbound = 3621603.232404, lowerbound=1287130.232404, norm of subgrad 1135.041071	dualbound = 3621603.232404, lowerbound=1287130.232404, norm of subgrad 35.374723	 stepsize= 1.000000 
-dualbound = 3621664.306451, lowerbound=1293046.306451, norm of subgrad 1137.674077	dualbound = 3621664.306451, lowerbound=1293046.306451, norm of subgrad 36.291515	 stepsize= 1.000000 
-dualbound = 3621726.394215, lowerbound=1291103.394215, norm of subgrad 1136.838332	dualbound = 3621726.394215, lowerbound=1291103.394215, norm of subgrad 36.879368	 stepsize= 1.000000 
-dualbound = 3621800.744665, lowerbound=1288563.744665, norm of subgrad 1135.703194	dualbound = 3621800.744665, lowerbound=1288563.744665, norm of subgrad 36.501376	 stepsize= 1.000000 
-dualbound = 3621882.767447, lowerbound=1294912.767447, norm of subgrad 1138.476512	dualbound = 3621882.767447, lowerbound=1294912.767447, norm of subgrad 36.028083	 stepsize= 1.000000 
-dualbound = 3621937.072658, lowerbound=1290513.072658, norm of subgrad 1136.552714	dualbound = 3621937.072658, lowerbound=1290513.072658, norm of subgrad 35.962553	 stepsize= 1.000000 
-dualbound = 3621997.404618, lowerbound=1289193.404618, norm of subgrad 1135.982572	dualbound = 3621997.404618, lowerbound=1289193.404618, norm of subgrad 36.377630	 stepsize= 1.000000 
-dualbound = 3622062.317757, lowerbound=1290371.317757, norm of subgrad 1136.483752	dualbound = 3622062.317757, lowerbound=1290371.317757, norm of subgrad 35.901436	 stepsize= 1.000000 
-dualbound = 3622161.727742, lowerbound=1288486.727742, norm of subgrad 1135.639788	dualbound = 3622161.727742, lowerbound=1288486.727742, norm of subgrad 35.922277	 stepsize= 1.000000 
-dualbound = 3622218.695709, lowerbound=1291443.695709, norm of subgrad 1136.943137	dualbound = 3622218.695709, lowerbound=1291443.695709, norm of subgrad 35.397288	 stepsize= 1.000000 
-dualbound = 3622287.547418, lowerbound=1290656.547418, norm of subgrad 1136.613192	dualbound = 3622287.547418, lowerbound=1290656.547418, norm of subgrad 36.081182	 stepsize= 1.000000 
-dualbound = 3622341.627783, lowerbound=1296470.627783, norm of subgrad 1139.170149	dualbound = 3622341.627783, lowerbound=1296470.627783, norm of subgrad 35.945519	 stepsize= 1.000000 
-dualbound = 3622418.252577, lowerbound=1292123.252577, norm of subgrad 1137.256019	dualbound = 3622418.252577, lowerbound=1292123.252577, norm of subgrad 36.119590	 stepsize= 1.000000 
-dualbound = 3622471.151950, lowerbound=1293316.151950, norm of subgrad 1137.789590	dualbound = 3622471.151950, lowerbound=1293316.151950, norm of subgrad 36.081843	 stepsize= 1.000000 
-dualbound = 3622559.217595, lowerbound=1287613.217595, norm of subgrad 1135.255133	dualbound = 3622559.217595, lowerbound=1287613.217595, norm of subgrad 35.764027	 stepsize= 1.000000 
-dualbound = 3622611.378322, lowerbound=1295434.378322, norm of subgrad 1138.734990	dualbound = 3622611.378322, lowerbound=1295434.378322, norm of subgrad 36.539851	 stepsize= 1.000000 
-dualbound = 3622675.151675, lowerbound=1284764.151675, norm of subgrad 1134.044158	dualbound = 3622675.151675, lowerbound=1284764.151675, norm of subgrad 36.820828	 stepsize= 1.000000 
-dualbound = 3622741.793902, lowerbound=1293303.793902, norm of subgrad 1137.770097	dualbound = 3622741.793902, lowerbound=1293303.793902, norm of subgrad 35.827953	 stepsize= 1.000000 
-dualbound = 3622827.164820, lowerbound=1292571.164820, norm of subgrad 1137.440181	dualbound = 3622827.164820, lowerbound=1292571.164820, norm of subgrad 35.838121	 stepsize= 1.000000 
-dualbound = 3622898.177723, lowerbound=1288765.177723, norm of subgrad 1135.773383	dualbound = 3622898.177723, lowerbound=1288765.177723, norm of subgrad 35.874962	 stepsize= 1.000000 
-dualbound = 3622964.762290, lowerbound=1294136.762290, norm of subgrad 1138.130819	dualbound = 3622964.762290, lowerbound=1294136.762290, norm of subgrad 35.659284	 stepsize= 1.000000 
-dualbound = 3623022.768377, lowerbound=1287255.768377, norm of subgrad 1135.085798	dualbound = 3623022.768377, lowerbound=1287255.768377, norm of subgrad 34.957204	 stepsize= 1.000000 
-dualbound = 3623099.355555, lowerbound=1296682.355555, norm of subgrad 1139.241131	dualbound = 3623099.355555, lowerbound=1296682.355555, norm of subgrad 35.561035	 stepsize= 1.000000 
-dualbound = 3623165.504219, lowerbound=1291188.504219, norm of subgrad 1136.826066	dualbound = 3623165.504219, lowerbound=1291188.504219, norm of subgrad 35.371580	 stepsize= 1.000000 
-dualbound = 3623249.276350, lowerbound=1291938.276350, norm of subgrad 1137.137316	dualbound = 3623249.276350, lowerbound=1291938.276350, norm of subgrad 35.025307	 stepsize= 1.000000 
-dualbound = 3623311.969014, lowerbound=1292679.969014, norm of subgrad 1137.513503	dualbound = 3623311.969014, lowerbound=1292679.969014, norm of subgrad 36.327574	 stepsize= 1.000000 
-dualbound = 3623368.662484, lowerbound=1295020.662484, norm of subgrad 1138.510282	dualbound = 3623368.662484, lowerbound=1295020.662484, norm of subgrad 35.237671	 stepsize= 1.000000 
-dualbound = 3623417.621759, lowerbound=1289531.621759, norm of subgrad 1136.123066	dualbound = 3623417.621759, lowerbound=1289531.621759, norm of subgrad 35.957743	 stepsize= 1.000000 
-dualbound = 3623472.298388, lowerbound=1291365.298388, norm of subgrad 1136.922292	dualbound = 3623472.298388, lowerbound=1291365.298388, norm of subgrad 35.800512	 stepsize= 1.000000 
-dualbound = 3623562.244179, lowerbound=1299007.244179, norm of subgrad 1140.258850	dualbound = 3623562.244179, lowerbound=1299007.244179, norm of subgrad 35.678366	 stepsize= 1.000000 
-dualbound = 3623639.218486, lowerbound=1292959.218486, norm of subgrad 1137.641516	dualbound = 3623639.218486, lowerbound=1292959.218486, norm of subgrad 36.687522	 stepsize= 1.000000 
-dualbound = 3623682.160358, lowerbound=1296585.160358, norm of subgrad 1139.206373	dualbound = 3623682.160358, lowerbound=1296585.160358, norm of subgrad 35.340372	 stepsize= 1.000000 
-dualbound = 3623763.222705, lowerbound=1289692.222705, norm of subgrad 1136.163379	dualbound = 3623763.222705, lowerbound=1289692.222705, norm of subgrad 35.440970	 stepsize= 1.000000 
-dualbound = 3623826.003076, lowerbound=1288644.003076, norm of subgrad 1135.721358	dualbound = 3623826.003076, lowerbound=1288644.003076, norm of subgrad 35.801960	 stepsize= 1.000000 
-dualbound = 3623880.836279, lowerbound=1289146.836279, norm of subgrad 1135.951511	dualbound = 3623880.836279, lowerbound=1289146.836279, norm of subgrad 35.969893	 stepsize= 1.000000 
-dualbound = 3623940.088715, lowerbound=1297317.088715, norm of subgrad 1139.562674	dualbound = 3623940.088715, lowerbound=1297317.088715, norm of subgrad 36.677683	 stepsize= 1.000000 
-dualbound = 3624009.987350, lowerbound=1288007.987350, norm of subgrad 1135.439557	dualbound = 3624009.987350, lowerbound=1288007.987350, norm of subgrad 35.845483	 stepsize= 1.000000 
-dualbound = 3624097.866318, lowerbound=1290355.866318, norm of subgrad 1136.502911	dualbound = 3624097.866318, lowerbound=1290355.866318, norm of subgrad 37.025383	 stepsize= 1.000000 
-dualbound = 3624149.914877, lowerbound=1291676.914877, norm of subgrad 1137.071200	dualbound = 3624149.914877, lowerbound=1291676.914877, norm of subgrad 36.139294	 stepsize= 1.000000 
-dualbound = 3624243.608362, lowerbound=1289288.608362, norm of subgrad 1135.997627	dualbound = 3624243.608362, lowerbound=1289288.608362, norm of subgrad 35.995743	 stepsize= 1.000000 
-dualbound = 3624307.067629, lowerbound=1287328.067629, norm of subgrad 1135.140990	dualbound = 3624307.067629, lowerbound=1287328.067629, norm of subgrad 35.783506	 stepsize= 1.000000 
-dualbound = 3624368.940277, lowerbound=1294867.940277, norm of subgrad 1138.468243	dualbound = 3624368.940277, lowerbound=1294867.940277, norm of subgrad 36.109177	 stepsize= 1.000000 
-dualbound = 3624415.627188, lowerbound=1287342.627188, norm of subgrad 1135.165903	dualbound = 3624415.627188, lowerbound=1287342.627188, norm of subgrad 36.134290	 stepsize= 1.000000 
-dualbound = 3624494.768200, lowerbound=1298029.768200, norm of subgrad 1139.850327	dualbound = 3624494.768200, lowerbound=1298029.768200, norm of subgrad 36.168232	 stepsize= 1.000000 
-dualbound = 3624580.941271, lowerbound=1285169.941271, norm of subgrad 1134.165306	dualbound = 3624580.941271, lowerbound=1285169.941271, norm of subgrad 35.315338	 stepsize= 1.000000 
-dualbound = 3624647.071679, lowerbound=1299570.071679, norm of subgrad 1140.493784	dualbound = 3624647.071679, lowerbound=1299570.071679, norm of subgrad 34.958982	 stepsize= 1.000000 
-dualbound = 3624738.813197, lowerbound=1287578.813197, norm of subgrad 1135.206507	dualbound = 3624738.813197, lowerbound=1287578.813197, norm of subgrad 34.738185	 stepsize= 1.000000 
-dualbound = 3624776.065769, lowerbound=1303179.065769, norm of subgrad 1142.098098	dualbound = 3624776.065769, lowerbound=1303179.065769, norm of subgrad 35.302303	 stepsize= 1.000000 
-dualbound = 3624818.934385, lowerbound=1288943.934385, norm of subgrad 1135.868361	dualbound = 3624818.934385, lowerbound=1288943.934385, norm of subgrad 35.998175	 stepsize= 1.000000 
-dualbound = 3624897.833360, lowerbound=1290946.833360, norm of subgrad 1136.714051	dualbound = 3624897.833360, lowerbound=1290946.833360, norm of subgrad 35.368050	 stepsize= 1.000000 
-dualbound = 3624999.546948, lowerbound=1287093.546948, norm of subgrad 1135.028434	dualbound = 3624999.546948, lowerbound=1287093.546948, norm of subgrad 36.023792	 stepsize= 1.000000 
-dualbound = 3625033.469391, lowerbound=1289992.469391, norm of subgrad 1136.309143	dualbound = 3625033.469391, lowerbound=1289992.469391, norm of subgrad 35.212532	 stepsize= 1.000000 
-dualbound = 3625118.224433, lowerbound=1291889.224433, norm of subgrad 1137.137733	dualbound = 3625118.224433, lowerbound=1291889.224433, norm of subgrad 35.745700	 stepsize= 1.000000 
-dualbound = 3625177.286834, lowerbound=1290398.286834, norm of subgrad 1136.487258	dualbound = 3625177.286834, lowerbound=1290398.286834, norm of subgrad 35.553655	 stepsize= 1.000000 
-dualbound = 3625228.173954, lowerbound=1294364.173955, norm of subgrad 1138.268498	dualbound = 3625228.173954, lowerbound=1294364.173955, norm of subgrad 36.631777	 stepsize= 1.000000 
-dualbound = 3625293.169834, lowerbound=1294698.169834, norm of subgrad 1138.406856	dualbound = 3625293.169834, lowerbound=1294698.169834, norm of subgrad 36.564954	 stepsize= 1.000000 
-dualbound = 3625344.906112, lowerbound=1287119.906112, norm of subgrad 1135.084096	dualbound = 3625344.906112, lowerbound=1287119.906112, norm of subgrad 36.711528	 stepsize= 1.000000 
-dualbound = 3625434.182540, lowerbound=1290850.182540, norm of subgrad 1136.707167	dualbound = 3625434.182540, lowerbound=1290850.182540, norm of subgrad 36.637091	 stepsize= 1.000000 
-dualbound = 3625485.676649, lowerbound=1292650.676649, norm of subgrad 1137.488759	dualbound = 3625485.676649, lowerbound=1292650.676649, norm of subgrad 35.797962	 stepsize= 1.000000 
-dualbound = 3625579.733806, lowerbound=1294964.733806, norm of subgrad 1138.508557	dualbound = 3625579.733806, lowerbound=1294964.733806, norm of subgrad 36.483656	 stepsize= 1.000000 
-dualbound = 3625608.453470, lowerbound=1290227.453470, norm of subgrad 1136.417816	dualbound = 3625608.453470, lowerbound=1290227.453470, norm of subgrad 35.308918	 stepsize= 1.000000 
-dualbound = 3625726.456471, lowerbound=1293730.456471, norm of subgrad 1137.938687	dualbound = 3625726.456471, lowerbound=1293730.456471, norm of subgrad 35.944443	 stepsize= 1.000000 
-dualbound = 3625760.173022, lowerbound=1290938.173022, norm of subgrad 1136.761265	dualbound = 3625760.173022, lowerbound=1290938.173022, norm of subgrad 36.355420	 stepsize= 1.000000 
-dualbound = 3625809.185513, lowerbound=1291035.185513, norm of subgrad 1136.829884	dualbound = 3625809.185513, lowerbound=1291035.185513, norm of subgrad 37.363251	 stepsize= 1.000000 
-dualbound = 3625879.090835, lowerbound=1293673.090835, norm of subgrad 1137.952148	dualbound = 3625879.090835, lowerbound=1293673.090835, norm of subgrad 36.495278	 stepsize= 1.000000 
-dualbound = 3625991.681232, lowerbound=1293907.681232, norm of subgrad 1138.020071	dualbound = 3625991.681232, lowerbound=1293907.681232, norm of subgrad 35.980417	 stepsize= 1.000000 
-dualbound = 3626027.750950, lowerbound=1295035.750950, norm of subgrad 1138.530962	dualbound = 3626027.750950, lowerbound=1295035.750950, norm of subgrad 35.398725	 stepsize= 1.000000 
-dualbound = 3626150.726845, lowerbound=1290218.726845, norm of subgrad 1136.395498	dualbound = 3626150.726845, lowerbound=1290218.726845, norm of subgrad 36.041308	 stepsize= 1.000000 
-dualbound = 3626170.016879, lowerbound=1291360.016879, norm of subgrad 1136.935802	dualbound = 3626170.016879, lowerbound=1291360.016879, norm of subgrad 35.809078	 stepsize= 1.000000 
-dualbound = 3626226.091446, lowerbound=1285292.091446, norm of subgrad 1134.285719	dualbound = 3626226.091446, lowerbound=1285292.091446, norm of subgrad 36.987492	 stepsize= 1.000000 
-dualbound = 3626291.782692, lowerbound=1293774.782692, norm of subgrad 1137.992875	dualbound = 3626291.782692, lowerbound=1293774.782692, norm of subgrad 36.313789	 stepsize= 1.000000 
-dualbound = 3626397.054483, lowerbound=1298335.054483, norm of subgrad 1139.966251	dualbound = 3626397.054483, lowerbound=1298335.054483, norm of subgrad 35.962088	 stepsize= 1.000000 
-dualbound = 3626463.286235, lowerbound=1289349.286235, norm of subgrad 1136.020372	dualbound = 3626463.286235, lowerbound=1289349.286235, norm of subgrad 35.485656	 stepsize= 1.000000 
-dualbound = 3626519.630548, lowerbound=1297121.630548, norm of subgrad 1139.443562	dualbound = 3626519.630548, lowerbound=1297121.630548, norm of subgrad 35.585732	 stepsize= 1.000000 
-dualbound = 3626599.718120, lowerbound=1288011.718120, norm of subgrad 1135.422705	dualbound = 3626599.718120, lowerbound=1288011.718120, norm of subgrad 35.398977	 stepsize= 1.000000 
-dualbound = 3626656.940075, lowerbound=1295338.940075, norm of subgrad 1138.671129	dualbound = 3626656.940075, lowerbound=1295338.940075, norm of subgrad 35.919660	 stepsize= 1.000000 
-dualbound = 3626723.467532, lowerbound=1292465.467532, norm of subgrad 1137.415697	dualbound = 3626723.467532, lowerbound=1292465.467532, norm of subgrad 36.270201	 stepsize= 1.000000 
-dualbound = 3626785.991830, lowerbound=1293586.991830, norm of subgrad 1137.883119	dualbound = 3626785.991830, lowerbound=1293586.991830, norm of subgrad 35.405145	 stepsize= 1.000000 
-dualbound = 3626867.138724, lowerbound=1287266.138724, norm of subgrad 1135.096092	dualbound = 3626867.138724, lowerbound=1287266.138724, norm of subgrad 35.470366	 stepsize= 1.000000 
-dualbound = 3626937.064182, lowerbound=1293976.064182, norm of subgrad 1138.063295	dualbound = 3626937.064182, lowerbound=1293976.064182, norm of subgrad 35.803987	 stepsize= 1.000000 
-dualbound = 3627009.351975, lowerbound=1291086.351975, norm of subgrad 1136.782456	dualbound = 3627009.351975, lowerbound=1291086.351975, norm of subgrad 35.500532	 stepsize= 1.000000 
-dualbound = 3627059.162747, lowerbound=1292916.162747, norm of subgrad 1137.593145	dualbound = 3627059.162747, lowerbound=1292916.162747, norm of subgrad 35.380938	 stepsize= 1.000000 
-dualbound = 3627118.690527, lowerbound=1295437.690527, norm of subgrad 1138.719759	dualbound = 3627118.690527, lowerbound=1295437.690527, norm of subgrad 36.118247	 stepsize= 1.000000 
-dualbound = 3627187.514084, lowerbound=1286789.514084, norm of subgrad 1134.894495	dualbound = 3627187.514084, lowerbound=1286789.514084, norm of subgrad 35.564358	 stepsize= 1.000000 
-dualbound = 3627257.890876, lowerbound=1296230.890876, norm of subgrad 1139.085111	dualbound = 3627257.890876, lowerbound=1296230.890876, norm of subgrad 36.801859	 stepsize= 1.000000 
-dualbound = 3627312.976573, lowerbound=1292020.976573, norm of subgrad 1137.225561	dualbound = 3627312.976573, lowerbound=1292020.976573, norm of subgrad 36.277895	 stepsize= 1.000000 
-dualbound = 3627402.684909, lowerbound=1292320.684909, norm of subgrad 1137.337103	dualbound = 3627402.684909, lowerbound=1292320.684909, norm of subgrad 36.120747	 stepsize= 1.000000 
-dualbound = 3627451.499731, lowerbound=1290534.499731, norm of subgrad 1136.595134	dualbound = 3627451.499731, lowerbound=1290534.499731, norm of subgrad 36.916322	 stepsize= 1.000000 
-dualbound = 3627515.366481, lowerbound=1292209.366481, norm of subgrad 1137.288163	dualbound = 3627515.366481, lowerbound=1292209.366481, norm of subgrad 35.761246	 stepsize= 1.000000 
-dualbound = 3627583.262475, lowerbound=1293266.262475, norm of subgrad 1137.756240	dualbound = 3627583.262475, lowerbound=1293266.262475, norm of subgrad 35.929041	 stepsize= 1.000000 
-dualbound = 3627672.870918, lowerbound=1295058.870918, norm of subgrad 1138.570099	dualbound = 3627672.870918, lowerbound=1295058.870918, norm of subgrad 37.048731	 stepsize= 1.000000 
-dualbound = 3627692.774967, lowerbound=1294898.774967, norm of subgrad 1138.506379	dualbound = 3627692.774967, lowerbound=1294898.774967, norm of subgrad 36.302948	 stepsize= 1.000000 
-dualbound = 3627775.481410, lowerbound=1294098.481410, norm of subgrad 1138.135089	dualbound = 3627775.481410, lowerbound=1294098.481410, norm of subgrad 36.547318	 stepsize= 1.000000 
-dualbound = 3627859.730746, lowerbound=1292361.730746, norm of subgrad 1137.374050	dualbound = 3627859.730746, lowerbound=1292361.730746, norm of subgrad 36.636721	 stepsize= 1.000000 
-dualbound = 3627904.353224, lowerbound=1293136.353224, norm of subgrad 1137.715849	dualbound = 3627904.353224, lowerbound=1293136.353224, norm of subgrad 36.133398	 stepsize= 1.000000 
-dualbound = 3627996.639021, lowerbound=1291833.639021, norm of subgrad 1137.134838	dualbound = 3627996.639021, lowerbound=1291833.639021, norm of subgrad 36.527877	 stepsize= 1.000000 
-dualbound = 3628063.827775, lowerbound=1296595.827775, norm of subgrad 1139.212811	dualbound = 3628063.827775, lowerbound=1296595.827775, norm of subgrad 35.737778	 stepsize= 1.000000 
-dualbound = 3628105.537230, lowerbound=1292093.537230, norm of subgrad 1137.256584	dualbound = 3628105.537230, lowerbound=1292093.537230, norm of subgrad 36.065350	 stepsize= 1.000000 
-dualbound = 3628186.467808, lowerbound=1289116.467808, norm of subgrad 1135.914375	dualbound = 3628186.467808, lowerbound=1289116.467808, norm of subgrad 35.579918	 stepsize= 1.000000 
-dualbound = 3628260.944674, lowerbound=1288529.944674, norm of subgrad 1135.679948	dualbound = 3628260.944674, lowerbound=1288529.944674, norm of subgrad 36.241921	 stepsize= 1.000000 
-dualbound = 3628342.591647, lowerbound=1294166.591647, norm of subgrad 1138.126351	dualbound = 3628342.591647, lowerbound=1294166.591647, norm of subgrad 35.307888	 stepsize= 1.000000 
-dualbound = 3628409.886783, lowerbound=1284311.886783, norm of subgrad 1133.786967	dualbound = 3628409.886783, lowerbound=1284311.886783, norm of subgrad 35.047042	 stepsize= 1.000000 
-dualbound = 3628490.166468, lowerbound=1293944.166468, norm of subgrad 1138.058507	dualbound = 3628490.166468, lowerbound=1293944.166468, norm of subgrad 36.239201	 stepsize= 1.000000 
-dualbound = 3628518.902110, lowerbound=1292452.902110, norm of subgrad 1137.391710	dualbound = 3628518.902110, lowerbound=1292452.902110, norm of subgrad 35.153032	 stepsize= 1.000000 
-dualbound = 3628621.613142, lowerbound=1295312.613142, norm of subgrad 1138.624878	dualbound = 3628621.613142, lowerbound=1295312.613142, norm of subgrad 35.450120	 stepsize= 1.000000 
-dualbound = 3628687.246563, lowerbound=1291200.246563, norm of subgrad 1136.863777	dualbound = 3628687.246563, lowerbound=1291200.246563, norm of subgrad 36.395514	 stepsize= 1.000000 
-dualbound = 3628712.025550, lowerbound=1297650.025550, norm of subgrad 1139.711378	dualbound = 3628712.025550, lowerbound=1297650.025550, norm of subgrad 36.287449	 stepsize= 1.000000 
-dualbound = 3628795.929553, lowerbound=1289404.929553, norm of subgrad 1136.063348	dualbound = 3628795.929553, lowerbound=1289404.929553, norm of subgrad 36.316718	 stepsize= 1.000000 
-dualbound = 3628851.325639, lowerbound=1293833.325639, norm of subgrad 1137.995310	dualbound = 3628851.325639, lowerbound=1293833.325639, norm of subgrad 35.431569	 stepsize= 1.000000 
-dualbound = 3628946.875365, lowerbound=1288114.875365, norm of subgrad 1135.451838	dualbound = 3628946.875365, lowerbound=1288114.875365, norm of subgrad 35.093443	 stepsize= 1.000000 
-dualbound = 3629012.545271, lowerbound=1298227.545271, norm of subgrad 1139.948484	dualbound = 3629012.545271, lowerbound=1298227.545271, norm of subgrad 36.341022	 stepsize= 1.000000 
-dualbound = 3629030.401776, lowerbound=1290504.401776, norm of subgrad 1136.580574	dualbound = 3629030.401776, lowerbound=1290504.401776, norm of subgrad 36.453484	 stepsize= 1.000000 
-dualbound = 3629115.725050, lowerbound=1290513.725050, norm of subgrad 1136.542443	dualbound = 3629115.725050, lowerbound=1290513.725050, norm of subgrad 36.059995	 stepsize= 1.000000 
-dualbound = 3629169.768635, lowerbound=1291958.768635, norm of subgrad 1137.197331	dualbound = 3629169.768635, lowerbound=1291958.768635, norm of subgrad 36.235943	 stepsize= 1.000000 
-dualbound = 3629265.459653, lowerbound=1291631.459653, norm of subgrad 1137.062645	dualbound = 3629265.459653, lowerbound=1291631.459653, norm of subgrad 37.090309	 stepsize= 1.000000 
-dualbound = 3629332.423018, lowerbound=1293439.423018, norm of subgrad 1137.848594	dualbound = 3629332.423018, lowerbound=1293439.423018, norm of subgrad 36.427508	 stepsize= 1.000000 
-dualbound = 3629391.496489, lowerbound=1291543.496489, norm of subgrad 1136.992742	dualbound = 3629391.496489, lowerbound=1291543.496489, norm of subgrad 35.610019	 stepsize= 1.000000 
-dualbound = 3629463.190333, lowerbound=1291060.190333, norm of subgrad 1136.788542	dualbound = 3629463.190333, lowerbound=1291060.190333, norm of subgrad 36.051267	 stepsize= 1.000000 
-dualbound = 3629521.109377, lowerbound=1293781.109377, norm of subgrad 1137.999169	dualbound = 3629521.109377, lowerbound=1293781.109377, norm of subgrad 36.316925	 stepsize= 1.000000 
-dualbound = 3629577.379684, lowerbound=1287277.379684, norm of subgrad 1135.122187	dualbound = 3629577.379684, lowerbound=1287277.379684, norm of subgrad 35.794836	 stepsize= 1.000000 
-dualbound = 3629663.626499, lowerbound=1297078.626499, norm of subgrad 1139.427763	dualbound = 3629663.626499, lowerbound=1297078.626499, norm of subgrad 36.100510	 stepsize= 1.000000 
-dualbound = 3629722.325182, lowerbound=1292162.325182, norm of subgrad 1137.288145	dualbound = 3629722.325182, lowerbound=1292162.325182, norm of subgrad 36.341418	 stepsize= 1.000000 
-dualbound = 3629786.903585, lowerbound=1290605.903585, norm of subgrad 1136.600151	dualbound = 3629786.903585, lowerbound=1290605.903585, norm of subgrad 36.312235	 stepsize= 1.000000 
-dualbound = 3629846.769511, lowerbound=1290750.769511, norm of subgrad 1136.659918	dualbound = 3629846.769511, lowerbound=1290750.769511, norm of subgrad 36.122928	 stepsize= 1.000000 
-dualbound = 3629925.245184, lowerbound=1289709.245184, norm of subgrad 1136.169990	dualbound = 3629925.245184, lowerbound=1289709.245184, norm of subgrad 35.376202	 stepsize= 1.000000 
-dualbound = 3630009.708034, lowerbound=1289380.708034, norm of subgrad 1136.025399	dualbound = 3630009.708034, lowerbound=1289380.708034, norm of subgrad 35.460723	 stepsize= 1.000000 
-dualbound = 3630072.327862, lowerbound=1293682.327862, norm of subgrad 1137.944343	dualbound = 3630072.327862, lowerbound=1293682.327862, norm of subgrad 36.022491	 stepsize= 1.000000 
-dualbound = 3630138.655861, lowerbound=1292902.655861, norm of subgrad 1137.585450	dualbound = 3630138.655861, lowerbound=1292902.655861, norm of subgrad 35.557390	 stepsize= 1.000000 
-dualbound = 3630201.348555, lowerbound=1293042.348555, norm of subgrad 1137.667943	dualbound = 3630201.348555, lowerbound=1293042.348555, norm of subgrad 36.175858	 stepsize= 1.000000 
-dualbound = 3630277.654728, lowerbound=1290914.654728, norm of subgrad 1136.713532	dualbound = 3630277.654728, lowerbound=1290914.654728, norm of subgrad 35.767390	 stepsize= 1.000000 
-dualbound = 3630356.435396, lowerbound=1294703.435396, norm of subgrad 1138.392039	dualbound = 3630356.435396, lowerbound=1294703.435396, norm of subgrad 36.218513	 stepsize= 1.000000 
-dualbound = 3630394.237902, lowerbound=1293679.237902, norm of subgrad 1137.939910	dualbound = 3630394.237902, lowerbound=1293679.237902, norm of subgrad 35.578118	 stepsize= 1.000000 
-dualbound = 3630504.198168, lowerbound=1293625.198168, norm of subgrad 1137.903862	dualbound = 3630504.198168, lowerbound=1293625.198168, norm of subgrad 36.193373	 stepsize= 1.000000 
-dualbound = 3630557.980030, lowerbound=1288605.980030, norm of subgrad 1135.705939	dualbound = 3630557.980030, lowerbound=1288605.980030, norm of subgrad 35.718089	 stepsize= 1.000000 
-dualbound = 3630605.357496, lowerbound=1294928.357496, norm of subgrad 1138.472379	dualbound = 3630605.357496, lowerbound=1294928.357496, norm of subgrad 35.190588	 stepsize= 1.000000 
-dualbound = 3630688.545638, lowerbound=1287548.545638, norm of subgrad 1135.249993	dualbound = 3630688.545638, lowerbound=1287548.545638, norm of subgrad 36.430593	 stepsize= 1.000000 
-dualbound = 3630747.496423, lowerbound=1297905.496423, norm of subgrad 1139.789672	dualbound = 3630747.496423, lowerbound=1297905.496423, norm of subgrad 35.692447	 stepsize= 1.000000 
-dualbound = 3630828.345595, lowerbound=1288479.345595, norm of subgrad 1135.655470	dualbound = 3630828.345595, lowerbound=1288479.345595, norm of subgrad 36.260849	 stepsize= 1.000000 
-dualbound = 3630879.305750, lowerbound=1294712.305750, norm of subgrad 1138.371778	dualbound = 3630879.305750, lowerbound=1294712.305750, norm of subgrad 35.056528	 stepsize= 1.000000 
-dualbound = 3630955.144610, lowerbound=1290719.144610, norm of subgrad 1136.635889	dualbound = 3630955.144610, lowerbound=1290719.144610, norm of subgrad 36.025531	 stepsize= 1.000000 
-dualbound = 3631018.616958, lowerbound=1290346.616958, norm of subgrad 1136.472444	dualbound = 3631018.616958, lowerbound=1290346.616958, norm of subgrad 35.867427	 stepsize= 1.000000 
-dualbound = 3631090.821572, lowerbound=1294273.821572, norm of subgrad 1138.199816	dualbound = 3631090.821572, lowerbound=1294273.821572, norm of subgrad 36.016727	 stepsize= 1.000000 
-dualbound = 3631157.708224, lowerbound=1295543.708224, norm of subgrad 1138.757089	dualbound = 3631157.708224, lowerbound=1295543.708224, norm of subgrad 35.928911	 stepsize= 1.000000 
-dualbound = 3631224.708798, lowerbound=1287308.708798, norm of subgrad 1135.151403	dualbound = 3631224.708798, lowerbound=1287308.708798, norm of subgrad 36.428019	 stepsize= 1.000000 
-dualbound = 3631262.249217, lowerbound=1296950.249217, norm of subgrad 1139.379765	dualbound = 3631262.249217, lowerbound=1296950.249217, norm of subgrad 35.686698	 stepsize= 1.000000 
-dualbound = 3631354.553798, lowerbound=1294512.553798, norm of subgrad 1138.303366	dualbound = 3631354.553798, lowerbound=1294512.553798, norm of subgrad 36.253339	 stepsize= 1.000000 
-dualbound = 3631416.813472, lowerbound=1291977.813472, norm of subgrad 1137.156899	dualbound = 3631416.813472, lowerbound=1291977.813472, norm of subgrad 34.788787	 stepsize= 1.000000 
-dualbound = 3631503.869049, lowerbound=1295267.869049, norm of subgrad 1138.616208	dualbound = 3631503.869049, lowerbound=1295267.869049, norm of subgrad 35.581675	 stepsize= 1.000000 
-dualbound = 3631559.804427, lowerbound=1292012.804427, norm of subgrad 1137.210976	dualbound = 3631559.804427, lowerbound=1292012.804427, norm of subgrad 35.943503	 stepsize= 1.000000 
-dualbound = 3631624.442245, lowerbound=1295061.442245, norm of subgrad 1138.563763	dualbound = 3631624.442245, lowerbound=1295061.442245, norm of subgrad 36.477909	 stepsize= 1.000000 
-dualbound = 3631656.533489, lowerbound=1293848.533489, norm of subgrad 1138.023081	dualbound = 3631656.533489, lowerbound=1293848.533489, norm of subgrad 35.778363	 stepsize= 1.000000 
-dualbound = 3631762.213317, lowerbound=1290655.213317, norm of subgrad 1136.602927	dualbound = 3631762.213317, lowerbound=1290655.213317, norm of subgrad 36.286083	 stepsize= 1.000000 
-dualbound = 3631832.643607, lowerbound=1290348.643607, norm of subgrad 1136.464537	dualbound = 3631832.643607, lowerbound=1290348.643607, norm of subgrad 35.685155	 stepsize= 1.000000 
-dualbound = 3631897.221535, lowerbound=1293371.221535, norm of subgrad 1137.802365	dualbound = 3631897.221535, lowerbound=1293371.221535, norm of subgrad 35.882836	 stepsize= 1.000000 
-dualbound = 3631946.237709, lowerbound=1288634.237709, norm of subgrad 1135.728946	dualbound = 3631946.237709, lowerbound=1288634.237709, norm of subgrad 35.986333	 stepsize= 1.000000 
-dualbound = 3632036.072407, lowerbound=1295202.072407, norm of subgrad 1138.578092	dualbound = 3632036.072407, lowerbound=1295202.072407, norm of subgrad 35.324704	 stepsize= 1.000000 
-dualbound = 3632108.636916, lowerbound=1291735.636916, norm of subgrad 1137.069759	dualbound = 3632108.636916, lowerbound=1291735.636916, norm of subgrad 35.560716	 stepsize= 1.000000 
-dualbound = 3632166.322410, lowerbound=1294919.322410, norm of subgrad 1138.474559	dualbound = 3632166.322410, lowerbound=1294919.322410, norm of subgrad 35.534286	 stepsize= 1.000000 
-dualbound = 3632248.654733, lowerbound=1290041.654733, norm of subgrad 1136.349266	dualbound = 3632248.654733, lowerbound=1290041.654733, norm of subgrad 36.473721	 stepsize= 1.000000 
-dualbound = 3632284.561939, lowerbound=1297562.561939, norm of subgrad 1139.673007	dualbound = 3632284.561939, lowerbound=1297562.561939, norm of subgrad 36.440461	 stepsize= 1.000000 
-dualbound = 3632360.695390, lowerbound=1290006.695390, norm of subgrad 1136.309243	dualbound = 3632360.695390, lowerbound=1290006.695390, norm of subgrad 35.610861	 stepsize= 1.000000 
-dualbound = 3632432.012843, lowerbound=1296026.012843, norm of subgrad 1138.992104	dualbound = 3632432.012843, lowerbound=1296026.012843, norm of subgrad 36.719442	 stepsize= 1.000000 
-dualbound = 3632504.101501, lowerbound=1289403.101501, norm of subgrad 1136.081028	dualbound = 3632504.101501, lowerbound=1289403.101501, norm of subgrad 36.729942	 stepsize= 1.000000 
-dualbound = 3632542.022537, lowerbound=1296935.022537, norm of subgrad 1139.386687	dualbound = 3632542.022537, lowerbound=1296935.022537, norm of subgrad 36.123691	 stepsize= 1.000000 
-dualbound = 3632630.870311, lowerbound=1294923.870311, norm of subgrad 1138.458111	dualbound = 3632630.870311, lowerbound=1294923.870311, norm of subgrad 35.381461	 stepsize= 1.000000 
-dualbound = 3632711.266303, lowerbound=1291672.266303, norm of subgrad 1137.035737	dualbound = 3632711.266303, lowerbound=1291672.266303, norm of subgrad 35.473878	 stepsize= 1.000000 
-dualbound = 3632798.496260, lowerbound=1295286.496261, norm of subgrad 1138.616483	dualbound = 3632798.496260, lowerbound=1295286.496261, norm of subgrad 35.330298	 stepsize= 1.000000 
-dualbound = 3632873.019030, lowerbound=1294590.019030, norm of subgrad 1138.293468	dualbound = 3632873.019030, lowerbound=1294590.019030, norm of subgrad 34.590790	 stepsize= 1.000000 
-dualbound = 3632929.363731, lowerbound=1289211.363731, norm of subgrad 1135.973751	dualbound = 3632929.363731, lowerbound=1289211.363731, norm of subgrad 35.795875	 stepsize= 1.000000 
-dualbound = 3632962.428251, lowerbound=1291859.428251, norm of subgrad 1137.146177	dualbound = 3632962.428251, lowerbound=1291859.428251, norm of subgrad 35.708046	 stepsize= 1.000000 
-dualbound = 3633039.143445, lowerbound=1296923.143445, norm of subgrad 1139.370064	dualbound = 3633039.143445, lowerbound=1296923.143445, norm of subgrad 36.300347	 stepsize= 1.000000 
-dualbound = 3633098.749917, lowerbound=1293662.749917, norm of subgrad 1137.932226	dualbound = 3633098.749917, lowerbound=1293662.749917, norm of subgrad 35.869297	 stepsize= 1.000000 
-dualbound = 3633159.107430, lowerbound=1290260.107430, norm of subgrad 1136.446702	dualbound = 3633159.107430, lowerbound=1290260.107430, norm of subgrad 36.212671	 stepsize= 1.000000 
-dualbound = 3633221.329622, lowerbound=1296795.329622, norm of subgrad 1139.329772	dualbound = 3633221.329622, lowerbound=1296795.329622, norm of subgrad 36.595385	 stepsize= 1.000000 
-dualbound = 3633278.577490, lowerbound=1297982.577490, norm of subgrad 1139.820415	dualbound = 3633278.577490, lowerbound=1297982.577490, norm of subgrad 35.570323	 stepsize= 1.000000 
-dualbound = 3633374.522591, lowerbound=1291709.522591, norm of subgrad 1137.054758	dualbound = 3633374.522591, lowerbound=1291709.522591, norm of subgrad 35.776320	 stepsize= 1.000000 
-dualbound = 3633424.522397, lowerbound=1291864.522397, norm of subgrad 1137.146219	dualbound = 3633424.522397, lowerbound=1291864.522397, norm of subgrad 35.874780	 stepsize= 1.000000 
-dualbound = 3633491.644886, lowerbound=1293102.644886, norm of subgrad 1137.661920	dualbound = 3633491.644886, lowerbound=1293102.644886, norm of subgrad 35.201172	 stepsize= 1.000000 
-dualbound = 3633575.537523, lowerbound=1288576.537523, norm of subgrad 1135.652912	dualbound = 3633575.537523, lowerbound=1288576.537523, norm of subgrad 34.855310	 stepsize= 1.000000 
-dualbound = 3633647.554067, lowerbound=1289692.554067, norm of subgrad 1136.184208	dualbound = 3633647.554067, lowerbound=1289692.554067, norm of subgrad 35.972441	 stepsize= 1.000000 
-dualbound = 3633675.675580, lowerbound=1293228.675580, norm of subgrad 1137.759059	dualbound = 3633675.675580, lowerbound=1293228.675580, norm of subgrad 35.987797	 stepsize= 1.000000 
-dualbound = 3633759.469288, lowerbound=1292202.469288, norm of subgrad 1137.307553	dualbound = 3633759.469288, lowerbound=1292202.469288, norm of subgrad 36.739539	 stepsize= 1.000000 
-dualbound = 3633821.371939, lowerbound=1291940.371939, norm of subgrad 1137.162861	dualbound = 3633821.371939, lowerbound=1291940.371939, norm of subgrad 35.509191	 stepsize= 1.000000 
-dualbound = 3633906.366335, lowerbound=1296123.366335, norm of subgrad 1138.986552	dualbound = 3633906.366335, lowerbound=1296123.366335, norm of subgrad 35.383533	 stepsize= 1.000000 
-dualbound = 3633969.537782, lowerbound=1292650.537782, norm of subgrad 1137.505401	dualbound = 3633969.537782, lowerbound=1292650.537782, norm of subgrad 36.485222	 stepsize= 1.000000 
-dualbound = 3634021.674042, lowerbound=1294167.674042, norm of subgrad 1138.162850	dualbound = 3634021.674042, lowerbound=1294167.674042, norm of subgrad 36.043533	 stepsize= 1.000000 
-dualbound = 3634086.051455, lowerbound=1294504.051455, norm of subgrad 1138.306660	dualbound = 3634086.051455, lowerbound=1294504.051455, norm of subgrad 36.088466	 stepsize= 1.000000 
-dualbound = 3634167.277387, lowerbound=1290535.277387, norm of subgrad 1136.566882	dualbound = 3634167.277387, lowerbound=1290535.277387, norm of subgrad 36.472263	 stepsize= 1.000000 
-dualbound = 3634228.903672, lowerbound=1297136.903672, norm of subgrad 1139.455529	dualbound = 3634228.903672, lowerbound=1297136.903672, norm of subgrad 35.827731	 stepsize= 1.000000 
-dualbound = 3634311.716230, lowerbound=1292162.716230, norm of subgrad 1137.272490	dualbound = 3634311.716230, lowerbound=1292162.716230, norm of subgrad 36.177515	 stepsize= 1.000000 
-dualbound = 3634376.333717, lowerbound=1295088.333717, norm of subgrad 1138.562398	dualbound = 3634376.333717, lowerbound=1295088.333717, norm of subgrad 36.064075	 stepsize= 1.000000 
-dualbound = 3634427.667060, lowerbound=1285865.667060, norm of subgrad 1134.517813	dualbound = 3634427.667060, lowerbound=1285865.667060, norm of subgrad 36.281308	 stepsize= 1.000000 
-dualbound = 3634477.543597, lowerbound=1299045.543597, norm of subgrad 1140.307653	dualbound = 3634477.543597, lowerbound=1299045.543597, norm of subgrad 36.136914	 stepsize= 1.000000 
-dualbound = 3634566.800158, lowerbound=1288568.800158, norm of subgrad 1135.667557	dualbound = 3634566.800158, lowerbound=1288568.800158, norm of subgrad 35.514174	 stepsize= 1.000000 
-dualbound = 3634664.728109, lowerbound=1292448.728109, norm of subgrad 1137.378885	dualbound = 3634664.728109, lowerbound=1292448.728109, norm of subgrad 35.776081	 stepsize= 1.000000 
-dualbound = 3634716.054584, lowerbound=1292173.054584, norm of subgrad 1137.266923	dualbound = 3634716.054584, lowerbound=1292173.054584, norm of subgrad 35.416472	 stepsize= 1.000000 
-dualbound = 3634777.170685, lowerbound=1291027.170685, norm of subgrad 1136.770940	dualbound = 3634777.170685, lowerbound=1291027.170685, norm of subgrad 35.806649	 stepsize= 1.000000 
-dualbound = 3634851.982863, lowerbound=1294002.982863, norm of subgrad 1138.068092	dualbound = 3634851.982863, lowerbound=1294002.982863, norm of subgrad 35.648453	 stepsize= 1.000000 
-dualbound = 3634911.822634, lowerbound=1293675.822634, norm of subgrad 1137.922591	dualbound = 3634911.822634, lowerbound=1293675.822634, norm of subgrad 35.381348	 stepsize= 1.000000 
-dualbound = 3634961.214941, lowerbound=1298267.214941, norm of subgrad 1139.947023	dualbound = 3634961.214941, lowerbound=1298267.214941, norm of subgrad 35.516085	 stepsize= 1.000000 
-dualbound = 3635039.537375, lowerbound=1293796.537375, norm of subgrad 1137.972116	dualbound = 3635039.537375, lowerbound=1293796.537375, norm of subgrad 35.529177	 stepsize= 1.000000 
-dualbound = 3635108.134927, lowerbound=1289745.134927, norm of subgrad 1136.214388	dualbound = 3635108.134927, lowerbound=1289745.134927, norm of subgrad 36.146889	 stepsize= 1.000000 
-dualbound = 3635167.342270, lowerbound=1297842.342270, norm of subgrad 1139.754071	dualbound = 3635167.342270, lowerbound=1297842.342270, norm of subgrad 35.443015	 stepsize= 1.000000 
-dualbound = 3635244.845089, lowerbound=1284456.845089, norm of subgrad 1133.872499	dualbound = 3635244.845089, lowerbound=1284456.845089, norm of subgrad 35.881790	 stepsize= 1.000000 
-dualbound = 3635297.511884, lowerbound=1295658.511884, norm of subgrad 1138.799593	dualbound = 3635297.511884, lowerbound=1295658.511884, norm of subgrad 35.477694	 stepsize= 1.000000 
-dualbound = 3635377.007139, lowerbound=1294380.007139, norm of subgrad 1138.231965	dualbound = 3635377.007139, lowerbound=1294380.007139, norm of subgrad 35.658032	 stepsize= 1.000000 
-dualbound = 3635436.494574, lowerbound=1298558.494574, norm of subgrad 1140.088371	dualbound = 3635436.494574, lowerbound=1298558.494574, norm of subgrad 36.089991	 stepsize= 1.000000 
-dualbound = 3635497.747421, lowerbound=1294635.747421, norm of subgrad 1138.358796	dualbound = 3635497.747421, lowerbound=1294635.747421, norm of subgrad 35.864367	 stepsize= 1.000000 
-dualbound = 3635541.300450, lowerbound=1298547.300450, norm of subgrad 1140.084339	dualbound = 3635541.300450, lowerbound=1298547.300450, norm of subgrad 35.896421	 stepsize= 1.000000 
-dualbound = 3635643.774025, lowerbound=1291330.774025, norm of subgrad 1136.898313	dualbound = 3635643.774025, lowerbound=1291330.774025, norm of subgrad 36.186649	 stepsize= 1.000000 
-dualbound = 3635686.156560, lowerbound=1297985.156560, norm of subgrad 1139.832074	dualbound = 3635686.156560, lowerbound=1297985.156560, norm of subgrad 35.698495	 stepsize= 1.000000 
-dualbound = 3635769.624807, lowerbound=1292793.624807, norm of subgrad 1137.550274	dualbound = 3635769.624807, lowerbound=1292793.624807, norm of subgrad 36.200390	 stepsize= 1.000000 
-dualbound = 3635805.506960, lowerbound=1295749.506960, norm of subgrad 1138.855349	dualbound = 3635805.506960, lowerbound=1295749.506960, norm of subgrad 35.747478	 stepsize= 1.000000 
-dualbound = 3635901.070020, lowerbound=1286701.070020, norm of subgrad 1134.885928	dualbound = 3635901.070020, lowerbound=1286701.070020, norm of subgrad 36.885811	 stepsize= 1.000000 
-dualbound = 3635952.710165, lowerbound=1293782.710165, norm of subgrad 1138.006024	dualbound = 3635952.710165, lowerbound=1293782.710165, norm of subgrad 36.423072	 stepsize= 1.000000 
-dualbound = 3636047.370339, lowerbound=1295216.370339, norm of subgrad 1138.632237	dualbound = 3636047.370339, lowerbound=1295216.370339, norm of subgrad 36.900680	 stepsize= 1.000000 
-dualbound = 3636095.377114, lowerbound=1296610.377114, norm of subgrad 1139.260452	dualbound = 3636095.377114, lowerbound=1296610.377114, norm of subgrad 36.769645	 stepsize= 1.000000 
-dualbound = 3636151.258715, lowerbound=1292699.258715, norm of subgrad 1137.537805	dualbound = 3636151.258715, lowerbound=1292699.258715, norm of subgrad 36.727124	 stepsize= 1.000000 
-dualbound = 3636235.828870, lowerbound=1294507.828870, norm of subgrad 1138.288992	dualbound = 3636235.828870, lowerbound=1294507.828870, norm of subgrad 35.757099	 stepsize= 1.000000 
-dualbound = 3636302.662564, lowerbound=1292121.662564, norm of subgrad 1137.246966	dualbound = 3636302.662564, lowerbound=1292121.662564, norm of subgrad 35.718814	 stepsize= 1.000000 
-dualbound = 3636385.138503, lowerbound=1295132.138503, norm of subgrad 1138.566704	dualbound = 3636385.138503, lowerbound=1295132.138503, norm of subgrad 35.839586	 stepsize= 1.000000 
-dualbound = 3636427.670900, lowerbound=1290219.670900, norm of subgrad 1136.390193	dualbound = 3636427.670900, lowerbound=1290219.670900, norm of subgrad 34.720778	 stepsize= 1.000000 
-dualbound = 3636530.373783, lowerbound=1296777.373783, norm of subgrad 1139.288538	dualbound = 3636530.373783, lowerbound=1296777.373783, norm of subgrad 36.106826	 stepsize= 1.000000 
-dualbound = 3636571.843491, lowerbound=1286401.843491, norm of subgrad 1134.743074	dualbound = 3636571.843491, lowerbound=1286401.843491, norm of subgrad 35.797622	 stepsize= 1.000000 
-dualbound = 3636618.506393, lowerbound=1294406.506393, norm of subgrad 1138.269962	dualbound = 3636618.506393, lowerbound=1294406.506393, norm of subgrad 36.036966	 stepsize= 1.000000 
-dualbound = 3636703.670780, lowerbound=1292193.670780, norm of subgrad 1137.262358	dualbound = 3636703.670780, lowerbound=1292193.670780, norm of subgrad 35.456514	 stepsize= 1.000000 
-dualbound = 3636789.521429, lowerbound=1291010.521429, norm of subgrad 1136.753941	dualbound = 3636789.521429, lowerbound=1291010.521429, norm of subgrad 35.844813	 stepsize= 1.000000 
-dualbound = 3636846.482517, lowerbound=1293571.482517, norm of subgrad 1137.870591	dualbound = 3636846.482517, lowerbound=1293571.482517, norm of subgrad 35.142013	 stepsize= 1.000000 
-dualbound = 3636925.022043, lowerbound=1289649.022043, norm of subgrad 1136.167251	dualbound = 3636925.022043, lowerbound=1289649.022043, norm of subgrad 36.132250	 stepsize= 1.000000 
-dualbound = 3636940.884581, lowerbound=1292269.884581, norm of subgrad 1137.348181	dualbound = 3636940.884581, lowerbound=1292269.884581, norm of subgrad 36.150554	 stepsize= 1.000000 
-dualbound = 3637038.355972, lowerbound=1295961.355972, norm of subgrad 1138.954940	dualbound = 3637038.355972, lowerbound=1295961.355972, norm of subgrad 36.803144	 stepsize= 1.000000 
-dualbound = 3637099.726350, lowerbound=1284358.726350, norm of subgrad 1133.834082	dualbound = 3637099.726350, lowerbound=1284358.726350, norm of subgrad 35.810199	 stepsize= 1.000000 
-dualbound = 3637172.663260, lowerbound=1293006.663260, norm of subgrad 1137.661928	dualbound = 3637172.663260, lowerbound=1293006.663260, norm of subgrad 36.618805	 stepsize= 1.000000 
-dualbound = 3637233.657336, lowerbound=1290462.657336, norm of subgrad 1136.515577	dualbound = 3637233.657336, lowerbound=1290462.657336, norm of subgrad 35.580811	 stepsize= 1.000000 
-dualbound = 3637309.769050, lowerbound=1297541.769051, norm of subgrad 1139.652477	dualbound = 3637309.769050, lowerbound=1297541.769051, norm of subgrad 36.634843	 stepsize= 1.000000 
-dualbound = 3637341.113328, lowerbound=1294533.113328, norm of subgrad 1138.340509	dualbound = 3637341.113328, lowerbound=1294533.113328, norm of subgrad 36.295238	 stepsize= 1.000000 
-dualbound = 3637442.688946, lowerbound=1298227.688946, norm of subgrad 1139.945915	dualbound = 3637442.688946, lowerbound=1298227.688946, norm of subgrad 36.750178	 stepsize= 1.000000 
-dualbound = 3637502.754682, lowerbound=1293557.754682, norm of subgrad 1137.904106	dualbound = 3637502.754682, lowerbound=1293557.754682, norm of subgrad 36.442636	 stepsize= 1.000000 
-dualbound = 3637559.556063, lowerbound=1294658.556063, norm of subgrad 1138.389896	dualbound = 3637559.556063, lowerbound=1294658.556063, norm of subgrad 36.466442	 stepsize= 1.000000 
-dualbound = 3637644.824363, lowerbound=1292517.824363, norm of subgrad 1137.426844	dualbound = 3637644.824363, lowerbound=1292517.824363, norm of subgrad 36.156165	 stepsize= 1.000000 
-dualbound = 3637703.697958, lowerbound=1290296.697958, norm of subgrad 1136.456202	dualbound = 3637703.697958, lowerbound=1290296.697958, norm of subgrad 35.984352	 stepsize= 1.000000 
-dualbound = 3637763.141284, lowerbound=1295165.141284, norm of subgrad 1138.607106	dualbound = 3637763.141284, lowerbound=1295165.141284, norm of subgrad 36.337905	 stepsize= 1.000000 
-dualbound = 3637814.199236, lowerbound=1295926.199236, norm of subgrad 1138.923702	dualbound = 3637814.199236, lowerbound=1295926.199236, norm of subgrad 35.665921	 stepsize= 1.000000 
-dualbound = 3637925.555859, lowerbound=1285519.555859, norm of subgrad 1134.347634	dualbound = 3637925.555859, lowerbound=1285519.555859, norm of subgrad 36.556212	 stepsize= 1.000000 
-dualbound = 3637969.743023, lowerbound=1294597.743023, norm of subgrad 1138.349570	dualbound = 3637969.743023, lowerbound=1294597.743023, norm of subgrad 35.863452	 stepsize= 1.000000 
-dualbound = 3638033.661768, lowerbound=1290684.661768, norm of subgrad 1136.653272	dualbound = 3638033.661768, lowerbound=1290684.661768, norm of subgrad 36.877076	 stepsize= 1.000000 
-dualbound = 3638081.339843, lowerbound=1291924.339843, norm of subgrad 1137.203297	dualbound = 3638081.339843, lowerbound=1291924.339843, norm of subgrad 36.805952	 stepsize= 1.000000 
-dualbound = 3638163.167797, lowerbound=1294388.167797, norm of subgrad 1138.256635	dualbound = 3638163.167797, lowerbound=1294388.167797, norm of subgrad 36.356952	 stepsize= 1.000000 
-dualbound = 3638256.801001, lowerbound=1295303.801001, norm of subgrad 1138.660968	dualbound = 3638256.801001, lowerbound=1295303.801001, norm of subgrad 36.587337	 stepsize= 1.000000 
-dualbound = 3638314.862828, lowerbound=1293865.862828, norm of subgrad 1138.016196	dualbound = 3638314.862828, lowerbound=1293865.862828, norm of subgrad 35.679992	 stepsize= 1.000000 
-dualbound = 3638387.108117, lowerbound=1291078.108117, norm of subgrad 1136.781909	dualbound = 3638387.108117, lowerbound=1291078.108117, norm of subgrad 35.598389	 stepsize= 1.000000 
-dualbound = 3638453.885273, lowerbound=1292709.885273, norm of subgrad 1137.475224	dualbound = 3638453.885273, lowerbound=1292709.885273, norm of subgrad 34.738698	 stepsize= 1.000000 
-dualbound = 3638542.152540, lowerbound=1296768.152540, norm of subgrad 1139.283175	dualbound = 3638542.152540, lowerbound=1296768.152540, norm of subgrad 35.864568	 stepsize= 1.000000 
-dualbound = 3638576.474383, lowerbound=1294067.474383, norm of subgrad 1138.135086	dualbound = 3638576.474383, lowerbound=1294067.474383, norm of subgrad 36.308702	 stepsize= 1.000000 
-dualbound = 3638635.048830, lowerbound=1293703.048830, norm of subgrad 1137.945099	dualbound = 3638635.048830, lowerbound=1293703.048830, norm of subgrad 35.701183	 stepsize= 1.000000 
-dualbound = 3638751.997161, lowerbound=1295038.997161, norm of subgrad 1138.522726	dualbound = 3638751.997161, lowerbound=1295038.997161, norm of subgrad 36.220827	 stepsize= 1.000000 
-dualbound = 3638792.002500, lowerbound=1290235.002500, norm of subgrad 1136.414978	dualbound = 3638792.002500, lowerbound=1290235.002500, norm of subgrad 35.270460	 stepsize= 1.000000 
-dualbound = 3638881.517955, lowerbound=1295970.517955, norm of subgrad 1138.908038	dualbound = 3638881.517955, lowerbound=1295970.517955, norm of subgrad 35.078704	 stepsize= 1.000000 
-dualbound = 3638959.307087, lowerbound=1290658.307087, norm of subgrad 1136.591530	dualbound = 3638959.307087, lowerbound=1290658.307087, norm of subgrad 35.493508	 stepsize= 1.000000 
-dualbound = 3638991.805350, lowerbound=1296973.805350, norm of subgrad 1139.396246	dualbound = 3638991.805350, lowerbound=1296973.805350, norm of subgrad 35.811985	 stepsize= 1.000000 
-dualbound = 3639056.152849, lowerbound=1292181.152849, norm of subgrad 1137.274880	dualbound = 3639056.152849, lowerbound=1292181.152849, norm of subgrad 35.739999	 stepsize= 1.000000 
-dualbound = 3639118.751076, lowerbound=1296843.751076, norm of subgrad 1139.314158	dualbound = 3639118.751076, lowerbound=1296843.751076, norm of subgrad 35.434421	 stepsize= 1.000000 
-dualbound = 3639191.989415, lowerbound=1295475.989415, norm of subgrad 1138.731746	dualbound = 3639191.989415, lowerbound=1295475.989415, norm of subgrad 36.155751	 stepsize= 1.000000 
-dualbound = 3639234.262437, lowerbound=1294488.262437, norm of subgrad 1138.314220	dualbound = 3639234.262437, lowerbound=1294488.262437, norm of subgrad 36.239109	 stepsize= 1.000000 
-dualbound = 3639322.021910, lowerbound=1288291.021910, norm of subgrad 1135.574754	dualbound = 3639322.021910, lowerbound=1288291.021910, norm of subgrad 36.424710	 stepsize= 1.000000 
-dualbound = 3639387.921953, lowerbound=1294630.921953, norm of subgrad 1138.329004	dualbound = 3639387.921953, lowerbound=1294630.921953, norm of subgrad 35.041405	 stepsize= 1.000000 
-dualbound = 3639451.625916, lowerbound=1283469.625916, norm of subgrad 1133.458701	dualbound = 3639451.625916, lowerbound=1283469.625916, norm of subgrad 36.368997	 stepsize= 1.000000 
-dualbound = 3639510.189619, lowerbound=1293553.189619, norm of subgrad 1137.902979	dualbound = 3639510.189619, lowerbound=1293553.189619, norm of subgrad 36.449468	 stepsize= 1.000000 
-dualbound = 3639578.054058, lowerbound=1295624.054058, norm of subgrad 1138.787976	dualbound = 3639578.054058, lowerbound=1295624.054058, norm of subgrad 35.803134	 stepsize= 1.000000 
-dualbound = 3639657.089031, lowerbound=1296101.089031, norm of subgrad 1138.993015	dualbound = 3639657.089031, lowerbound=1296101.089031, norm of subgrad 35.819478	 stepsize= 1.000000 
-dualbound = 3639699.545620, lowerbound=1287998.545620, norm of subgrad 1135.476352	dualbound = 3639699.545620, lowerbound=1287998.545620, norm of subgrad 36.748559	 stepsize= 1.000000 
-dualbound = 3639766.527005, lowerbound=1296345.527005, norm of subgrad 1139.094170	dualbound = 3639766.527005, lowerbound=1296345.527005, norm of subgrad 35.453933	 stepsize= 1.000000 
-dualbound = 3639858.359916, lowerbound=1294827.359916, norm of subgrad 1138.432413	dualbound = 3639858.359916, lowerbound=1294827.359916, norm of subgrad 35.955986	 stepsize= 1.000000 
-dualbound = 3639931.613532, lowerbound=1291771.613532, norm of subgrad 1137.094813	dualbound = 3639931.613532, lowerbound=1291771.613532, norm of subgrad 35.864378	 stepsize= 1.000000 
-dualbound = 3639946.714067, lowerbound=1293277.714067, norm of subgrad 1137.793792	dualbound = 3639946.714067, lowerbound=1293277.714067, norm of subgrad 36.222928	 stepsize= 1.000000 
-dualbound = 3640050.273231, lowerbound=1292165.273231, norm of subgrad 1137.298674	dualbound = 3640050.273231, lowerbound=1292165.273231, norm of subgrad 37.236530	 stepsize= 1.000000 
-dualbound = 3640087.313137, lowerbound=1291680.313137, norm of subgrad 1137.088525	dualbound = 3640087.313137, lowerbound=1291680.313137, norm of subgrad 36.428559	 stepsize= 1.000000 
-dualbound = 3640182.022423, lowerbound=1296651.022423, norm of subgrad 1139.238791	dualbound = 3640182.022423, lowerbound=1296651.022423, norm of subgrad 36.176087	 stepsize= 1.000000 
-dualbound = 3640258.716358, lowerbound=1294937.716358, norm of subgrad 1138.456726	dualbound = 3640258.716358, lowerbound=1294937.716358, norm of subgrad 34.967041	 stepsize= 1.000000 
-dualbound = 3640342.584409, lowerbound=1289399.584409, norm of subgrad 1136.016542	dualbound = 3640342.584409, lowerbound=1289399.584409, norm of subgrad 34.897966	 stepsize= 1.000000 
-dualbound = 3640409.446351, lowerbound=1294273.446351, norm of subgrad 1138.192623	dualbound = 3640409.446351, lowerbound=1294273.446351, norm of subgrad 35.719210	 stepsize= 1.000000 
-dualbound = 3640455.904565, lowerbound=1292353.904565, norm of subgrad 1137.352586	dualbound = 3640455.904565, lowerbound=1292353.904565, norm of subgrad 35.545157	 stepsize= 1.000000 
-dualbound = 3640526.002082, lowerbound=1295910.002082, norm of subgrad 1138.905616	dualbound = 3640526.002082, lowerbound=1295910.002082, norm of subgrad 35.582264	 stepsize= 1.000000 
-dualbound = 3640577.263651, lowerbound=1297416.263651, norm of subgrad 1139.596535	dualbound = 3640577.263651, lowerbound=1297416.263651, norm of subgrad 36.266535	 stepsize= 1.000000 
-dualbound = 3640638.339287, lowerbound=1293077.339287, norm of subgrad 1137.698703	dualbound = 3640638.339287, lowerbound=1293077.339287, norm of subgrad 36.634350	 stepsize= 1.000000 
-dualbound = 3640704.966510, lowerbound=1290986.966510, norm of subgrad 1136.772170	dualbound = 3640704.966510, lowerbound=1290986.966510, norm of subgrad 36.477763	 stepsize= 1.000000 
-dualbound = 3640777.066368, lowerbound=1297606.066368, norm of subgrad 1139.681125	dualbound = 3640777.066368, lowerbound=1297606.066368, norm of subgrad 36.593713	 stepsize= 1.000000 
-dualbound = 3640842.854746, lowerbound=1291031.854747, norm of subgrad 1136.786196	dualbound = 3640842.854746, lowerbound=1291031.854747, norm of subgrad 36.287579	 stepsize= 1.000000 
-dualbound = 3640904.431489, lowerbound=1295458.431489, norm of subgrad 1138.753016	dualbound = 3640904.431489, lowerbound=1295458.431489, norm of subgrad 36.899549	 stepsize= 1.000000 
-dualbound = 3640977.457059, lowerbound=1295676.457059, norm of subgrad 1138.818887	dualbound = 3640977.457059, lowerbound=1295676.457059, norm of subgrad 36.125138	 stepsize= 1.000000 
-dualbound = 3641040.937319, lowerbound=1293382.937319, norm of subgrad 1137.806195	dualbound = 3641040.937319, lowerbound=1293382.937319, norm of subgrad 35.825693	 stepsize= 1.000000 
-dualbound = 3641107.131628, lowerbound=1291080.131628, norm of subgrad 1136.788957	dualbound = 3641107.131628, lowerbound=1291080.131628, norm of subgrad 35.709863	 stepsize= 1.000000 
-dualbound = 3641179.813870, lowerbound=1291290.813870, norm of subgrad 1136.881618	dualbound = 3641179.813870, lowerbound=1291290.813870, norm of subgrad 35.800590	 stepsize= 1.000000 
-dualbound = 3641263.273873, lowerbound=1293905.273873, norm of subgrad 1138.025603	dualbound = 3641263.273873, lowerbound=1293905.273873, norm of subgrad 35.783516	 stepsize= 1.000000 
-dualbound = 3641308.314976, lowerbound=1295378.314976, norm of subgrad 1138.689297	dualbound = 3641308.314976, lowerbound=1295378.314976, norm of subgrad 35.777662	 stepsize= 1.000000 
-dualbound = 3641379.689498, lowerbound=1294536.689498, norm of subgrad 1138.319678	dualbound = 3641379.689498, lowerbound=1294536.689498, norm of subgrad 36.143803	 stepsize= 1.000000 
-dualbound = 3641464.520786, lowerbound=1292683.520786, norm of subgrad 1137.487372	dualbound = 3641464.520786, lowerbound=1292683.520786, norm of subgrad 35.760751	 stepsize= 1.000000 
-dualbound = 3641520.694336, lowerbound=1290679.694336, norm of subgrad 1136.623814	dualbound = 3641520.694336, lowerbound=1290679.694336, norm of subgrad 35.918986	 stepsize= 1.000000 
-dualbound = 3641599.520334, lowerbound=1299413.520334, norm of subgrad 1140.446632	dualbound = 3641599.520334, lowerbound=1299413.520334, norm of subgrad 35.830518	 stepsize= 1.000000 
-dualbound = 3641657.245761, lowerbound=1290294.245761, norm of subgrad 1136.424765	dualbound = 3641657.245761, lowerbound=1290294.245761, norm of subgrad 34.996077	 stepsize= 1.000000 
-dualbound = 3641735.814233, lowerbound=1292983.814233, norm of subgrad 1137.647491	dualbound = 3641735.814233, lowerbound=1292983.814233, norm of subgrad 36.559109	 stepsize= 1.000000 
-dualbound = 3641772.073858, lowerbound=1293243.073858, norm of subgrad 1137.746929	dualbound = 3641772.073858, lowerbound=1293243.073858, norm of subgrad 35.514217	 stepsize= 1.000000 
-dualbound = 3641857.166009, lowerbound=1291657.166009, norm of subgrad 1137.055041	dualbound = 3641857.166009, lowerbound=1291657.166009, norm of subgrad 36.360585	 stepsize= 1.000000 
-dualbound = 3641931.636652, lowerbound=1285986.636652, norm of subgrad 1134.550412	dualbound = 3641931.636652, lowerbound=1285986.636652, norm of subgrad 35.950948	 stepsize= 1.000000 
-dualbound = 3641984.591210, lowerbound=1295230.591210, norm of subgrad 1138.619599	dualbound = 3641984.591210, lowerbound=1295230.591210, norm of subgrad 35.734501	 stepsize= 1.000000 
-dualbound = 3642045.144392, lowerbound=1296852.144392, norm of subgrad 1139.330130	dualbound = 3642045.144392, lowerbound=1296852.144392, norm of subgrad 35.798787	 stepsize= 1.000000 
-dualbound = 3642147.690807, lowerbound=1287924.690807, norm of subgrad 1135.399793	dualbound = 3642147.690807, lowerbound=1287924.690807, norm of subgrad 36.201470	 stepsize= 1.000000 
-dualbound = 3642165.622404, lowerbound=1295820.622404, norm of subgrad 1138.878230	dualbound = 3642165.622404, lowerbound=1295820.622404, norm of subgrad 35.226859	 stepsize= 1.000000 
-dualbound = 3642296.625685, lowerbound=1295827.625685, norm of subgrad 1138.844865	dualbound = 3642296.625685, lowerbound=1295827.625685, norm of subgrad 35.651133	 stepsize= 1.000000 
-dualbound = 3642338.680975, lowerbound=1297138.680975, norm of subgrad 1139.439635	dualbound = 3642338.680975, lowerbound=1297138.680975, norm of subgrad 35.015072	 stepsize= 1.000000 
-dualbound = 3642397.236574, lowerbound=1291970.236574, norm of subgrad 1137.175992	dualbound = 3642397.236574, lowerbound=1291970.236574, norm of subgrad 35.462030	 stepsize= 1.000000 
-dualbound = 3642466.818077, lowerbound=1293399.818077, norm of subgrad 1137.830751	dualbound = 3642466.818077, lowerbound=1293399.818077, norm of subgrad 36.449712	 stepsize= 1.000000 
-dualbound = 3642511.335010, lowerbound=1295265.335010, norm of subgrad 1138.679645	dualbound = 3642511.335010, lowerbound=1295265.335010, norm of subgrad 37.020493	 stepsize= 1.000000 
-dualbound = 3642548.401165, lowerbound=1296316.401165, norm of subgrad 1139.147225	dualbound = 3642548.401165, lowerbound=1296316.401165, norm of subgrad 37.108842	 stepsize= 1.000000 
-dualbound = 3642661.039578, lowerbound=1294881.039578, norm of subgrad 1138.496394	dualbound = 3642661.039578, lowerbound=1294881.039578, norm of subgrad 37.491845	 stepsize= 1.000000 
-dualbound = 3642697.197238, lowerbound=1291217.197238, norm of subgrad 1136.882227	dualbound = 3642697.197238, lowerbound=1291217.197238, norm of subgrad 36.333974	 stepsize= 1.000000 
-dualbound = 3642777.171620, lowerbound=1293987.171620, norm of subgrad 1138.094096	dualbound = 3642777.171620, lowerbound=1293987.171620, norm of subgrad 36.755603	 stepsize= 1.000000 
-dualbound = 3642862.090367, lowerbound=1294817.090367, norm of subgrad 1138.439761	dualbound = 3642862.090367, lowerbound=1294817.090367, norm of subgrad 36.234221	 stepsize= 1.000000 
-dualbound = 3642926.922118, lowerbound=1293710.922118, norm of subgrad 1137.926150	dualbound = 3642926.922118, lowerbound=1293710.922118, norm of subgrad 35.068957	 stepsize= 1.000000 
-dualbound = 3643003.779207, lowerbound=1290013.779207, norm of subgrad 1136.319840	dualbound = 3643003.779207, lowerbound=1290013.779207, norm of subgrad 35.858850	 stepsize= 1.000000 
-dualbound = 3643066.475558, lowerbound=1294821.475558, norm of subgrad 1138.427194	dualbound = 3643066.475558, lowerbound=1294821.475558, norm of subgrad 35.464015	 stepsize= 1.000000 
-dualbound = 3643111.161776, lowerbound=1292333.161776, norm of subgrad 1137.344786	dualbound = 3643111.161776, lowerbound=1292333.161776, norm of subgrad 35.562427	 stepsize= 1.000000 
-dualbound = 3643194.500147, lowerbound=1287148.500147, norm of subgrad 1135.031057	dualbound = 3643194.500147, lowerbound=1287148.500147, norm of subgrad 35.076180	 stepsize= 1.000000 
-dualbound = 3643280.561626, lowerbound=1292262.561626, norm of subgrad 1137.306714	dualbound = 3643280.561626, lowerbound=1292262.561626, norm of subgrad 35.917426	 stepsize= 1.000000 
-dualbound = 3643305.454495, lowerbound=1290618.454495, norm of subgrad 1136.599954	dualbound = 3643305.454495, lowerbound=1290618.454495, norm of subgrad 35.579388	 stepsize= 1.000000 
-dualbound = 3643388.542541, lowerbound=1288953.542541, norm of subgrad 1135.852342	dualbound = 3643388.542541, lowerbound=1288953.542541, norm of subgrad 35.917796	 stepsize= 1.000000 
-dualbound = 3643457.800523, lowerbound=1295355.800523, norm of subgrad 1138.708830	dualbound = 3643457.800523, lowerbound=1295355.800523, norm of subgrad 37.030501	 stepsize= 1.000000 
-dualbound = 3643501.672472, lowerbound=1291026.672472, norm of subgrad 1136.797111	dualbound = 3643501.672472, lowerbound=1291026.672472, norm of subgrad 36.398790	 stepsize= 1.000000 
-dualbound = 3643579.776041, lowerbound=1294513.776041, norm of subgrad 1138.322352	dualbound = 3643579.776041, lowerbound=1294513.776041, norm of subgrad 36.634732	 stepsize= 1.000000 
-dualbound = 3643645.452840, lowerbound=1292644.452840, norm of subgrad 1137.485584	dualbound = 3643645.452840, lowerbound=1292644.452840, norm of subgrad 35.981618	 stepsize= 1.000000 
-dualbound = 3643725.822837, lowerbound=1292248.822837, norm of subgrad 1137.321337	dualbound = 3643725.822837, lowerbound=1292248.822837, norm of subgrad 36.487943	 stepsize= 1.000000 
-dualbound = 3643791.118788, lowerbound=1298006.118788, norm of subgrad 1139.840830	dualbound = 3643791.118788, lowerbound=1298006.118788, norm of subgrad 36.004110	 stepsize= 1.000000 
-dualbound = 3643874.938272, lowerbound=1297141.938272, norm of subgrad 1139.442819	dualbound = 3643874.938272, lowerbound=1297141.938272, norm of subgrad 35.662578	 stepsize= 1.000000 
-dualbound = 3643921.582050, lowerbound=1294224.582050, norm of subgrad 1138.198832	dualbound = 3643921.582050, lowerbound=1294224.582050, norm of subgrad 36.313135	 stepsize= 1.000000 
-dualbound = 3643987.337283, lowerbound=1295655.337283, norm of subgrad 1138.828054	dualbound = 3643987.337283, lowerbound=1295655.337283, norm of subgrad 36.602667	 stepsize= 1.000000 
-dualbound = 3644070.629669, lowerbound=1295546.629669, norm of subgrad 1138.754859	dualbound = 3644070.629669, lowerbound=1295546.629669, norm of subgrad 36.045699	 stepsize= 1.000000 
-dualbound = 3644121.441918, lowerbound=1293995.441918, norm of subgrad 1138.099047	dualbound = 3644121.441918, lowerbound=1293995.441918, norm of subgrad 36.397970	 stepsize= 1.000000 
-dualbound = 3644193.915570, lowerbound=1290200.915570, norm of subgrad 1136.406580	dualbound = 3644193.915570, lowerbound=1290200.915570, norm of subgrad 35.937079	 stepsize= 1.000000 
-dualbound = 3644256.530810, lowerbound=1292131.530810, norm of subgrad 1137.267572	dualbound = 3644256.530810, lowerbound=1292131.530810, norm of subgrad 36.174787	 stepsize= 1.000000 
-dualbound = 3644340.797069, lowerbound=1296959.797069, norm of subgrad 1139.408968	dualbound = 3644340.797069, lowerbound=1296959.797069, norm of subgrad 37.111538	 stepsize= 1.000000 
-dualbound = 3644388.460048, lowerbound=1293626.460048, norm of subgrad 1137.889037	dualbound = 3644388.460048, lowerbound=1293626.460048, norm of subgrad 34.823311	 stepsize= 1.000000 
-dualbound = 3644488.280143, lowerbound=1293810.280143, norm of subgrad 1137.978594	dualbound = 3644488.280143, lowerbound=1293810.280143, norm of subgrad 35.844387	 stepsize= 1.000000 
-dualbound = 3644547.487788, lowerbound=1291960.487788, norm of subgrad 1137.187534	dualbound = 3644547.487788, lowerbound=1291960.487788, norm of subgrad 35.975098	 stepsize= 1.000000 
-dualbound = 3644598.278778, lowerbound=1299471.278778, norm of subgrad 1140.482915	dualbound = 3644598.278778, lowerbound=1299471.278778, norm of subgrad 35.788140	 stepsize= 1.000000 
-dualbound = 3644666.932948, lowerbound=1292685.932948, norm of subgrad 1137.491069	dualbound = 3644666.932948, lowerbound=1292685.932948, norm of subgrad 35.618172	 stepsize= 1.000000 
-dualbound = 3644748.879619, lowerbound=1296626.879619, norm of subgrad 1139.223806	dualbound = 3644748.879619, lowerbound=1296626.879619, norm of subgrad 35.860099	 stepsize= 1.000000 
-dualbound = 3644808.068708, lowerbound=1288766.068708, norm of subgrad 1135.768933	dualbound = 3644808.068708, lowerbound=1288766.068708, norm of subgrad 35.555437	 stepsize= 1.000000 
-dualbound = 3644872.793784, lowerbound=1298566.793784, norm of subgrad 1140.066136	dualbound = 3644872.793784, lowerbound=1298566.793784, norm of subgrad 35.337304	 stepsize= 1.000000 
-dualbound = 3644926.735047, lowerbound=1284187.735047, norm of subgrad 1133.783813	dualbound = 3644926.735047, lowerbound=1284187.735047, norm of subgrad 36.495770	 stepsize= 1.000000 
-dualbound = 3644989.876203, lowerbound=1295469.876203, norm of subgrad 1138.735209	dualbound = 3644989.876203, lowerbound=1295469.876203, norm of subgrad 36.209683	 stepsize= 1.000000 
-dualbound = 3645039.910785, lowerbound=1288942.910785, norm of subgrad 1135.879356	dualbound = 3645039.910785, lowerbound=1288942.910785, norm of subgrad 36.455927	 stepsize= 1.000000 
-dualbound = 3645130.489950, lowerbound=1295115.489950, norm of subgrad 1138.562466	dualbound = 3645130.489950, lowerbound=1295115.489950, norm of subgrad 36.049676	 stepsize= 1.000000 
-dualbound = 3645207.877138, lowerbound=1289879.877138, norm of subgrad 1136.282481	dualbound = 3645207.877138, lowerbound=1289879.877138, norm of subgrad 36.542950	 stepsize= 1.000000 
-dualbound = 3645237.221629, lowerbound=1298496.221629, norm of subgrad 1140.085620	dualbound = 3645237.221629, lowerbound=1298496.221629, norm of subgrad 36.446461	 stepsize= 1.000000 
-dualbound = 3645325.640779, lowerbound=1295335.640779, norm of subgrad 1138.671437	dualbound = 3645325.640779, lowerbound=1295335.640779, norm of subgrad 36.406306	 stepsize= 1.000000 
-dualbound = 3645414.895927, lowerbound=1296689.895927, norm of subgrad 1139.256291	dualbound = 3645414.895927, lowerbound=1296689.895927, norm of subgrad 36.114473	 stepsize= 1.000000 
-dualbound = 3645460.174354, lowerbound=1290684.174354, norm of subgrad 1136.607309	dualbound = 3645460.174354, lowerbound=1290684.174354, norm of subgrad 35.174969	 stepsize= 1.000000 
-dualbound = 3645532.925258, lowerbound=1292807.925258, norm of subgrad 1137.564031	dualbound = 3645532.925258, lowerbound=1292807.925258, norm of subgrad 36.287062	 stepsize= 1.000000 
-dualbound = 3645598.895539, lowerbound=1291984.895539, norm of subgrad 1137.171445	dualbound = 3645598.895539, lowerbound=1291984.895539, norm of subgrad 35.213212	 stepsize= 1.000000 
-dualbound = 3645698.479644, lowerbound=1297552.479644, norm of subgrad 1139.592681	dualbound = 3645698.479644, lowerbound=1297552.479644, norm of subgrad 34.908224	 stepsize= 1.000000 
-dualbound = 3645763.789289, lowerbound=1293444.789289, norm of subgrad 1137.817995	dualbound = 3645763.789289, lowerbound=1293444.789289, norm of subgrad 35.359718	 stepsize= 1.000000 
-dualbound = 3645810.749213, lowerbound=1295089.749213, norm of subgrad 1138.558628	dualbound = 3645810.749213, lowerbound=1295089.749213, norm of subgrad 35.678564	 stepsize= 1.000000 
-dualbound = 3645860.176269, lowerbound=1286725.176269, norm of subgrad 1134.907122	dualbound = 3645860.176269, lowerbound=1286725.176269, norm of subgrad 36.584519	 stepsize= 1.000000 
-dualbound = 3645931.160445, lowerbound=1296703.160445, norm of subgrad 1139.281423	dualbound = 3645931.160445, lowerbound=1296703.160445, norm of subgrad 36.468948	 stepsize= 1.000000 
-dualbound = 3646010.124565, lowerbound=1293515.124565, norm of subgrad 1137.880101	dualbound = 3646010.124565, lowerbound=1293515.124565, norm of subgrad 36.537161	 stepsize= 1.000000 
-dualbound = 3646066.193123, lowerbound=1297481.193123, norm of subgrad 1139.606596	dualbound = 3646066.193123, lowerbound=1297481.193123, norm of subgrad 35.750085	 stepsize= 1.000000 
-dualbound = 3646137.549585, lowerbound=1291230.549585, norm of subgrad 1136.898214	dualbound = 3646137.549585, lowerbound=1291230.549585, norm of subgrad 37.126223	 stepsize= 1.000000 
-dualbound = 3646191.110716, lowerbound=1297409.110716, norm of subgrad 1139.591642	dualbound = 3646191.110716, lowerbound=1297409.110716, norm of subgrad 36.243084	 stepsize= 1.000000 
-dualbound = 3646267.751362, lowerbound=1291637.751362, norm of subgrad 1137.053979	dualbound = 3646267.751362, lowerbound=1291637.751362, norm of subgrad 36.477947	 stepsize= 1.000000 
-dualbound = 3646333.632039, lowerbound=1296722.632039, norm of subgrad 1139.307962	dualbound = 3646333.632039, lowerbound=1296722.632039, norm of subgrad 36.957823	 stepsize= 1.000000 
-dualbound = 3646380.394177, lowerbound=1292513.394177, norm of subgrad 1137.430611	dualbound = 3646380.394177, lowerbound=1292513.394177, norm of subgrad 35.801706	 stepsize= 1.000000 
-dualbound = 3646473.971531, lowerbound=1292995.971531, norm of subgrad 1137.663382	dualbound = 3646473.971531, lowerbound=1292995.971531, norm of subgrad 37.088777	 stepsize= 1.000000 
-dualbound = 3646517.603692, lowerbound=1295993.603692, norm of subgrad 1138.964268	dualbound = 3646517.603692, lowerbound=1295993.603692, norm of subgrad 35.911449	 stepsize= 1.000000 
-dualbound = 3646604.013642, lowerbound=1285261.013642, norm of subgrad 1134.208981	dualbound = 3646604.013642, lowerbound=1285261.013642, norm of subgrad 35.431765	 stepsize= 1.000000 
-dualbound = 3646675.223296, lowerbound=1302310.223296, norm of subgrad 1141.736057	dualbound = 3646675.223296, lowerbound=1302310.223296, norm of subgrad 36.362201	 stepsize= 1.000000 
-dualbound = 3646728.629923, lowerbound=1293804.629923, norm of subgrad 1138.004670	dualbound = 3646728.629923, lowerbound=1293804.629923, norm of subgrad 36.102723	 stepsize= 1.000000 
-dualbound = 3646778.881341, lowerbound=1288595.881341, norm of subgrad 1135.718223	dualbound = 3646778.881341, lowerbound=1288595.881341, norm of subgrad 36.197395	 stepsize= 1.000000 
-dualbound = 3646873.922044, lowerbound=1292830.922044, norm of subgrad 1137.536778	dualbound = 3646873.922044, lowerbound=1292830.922044, norm of subgrad 35.412437	 stepsize= 1.000000 
-dualbound = 3646937.850016, lowerbound=1294138.850016, norm of subgrad 1138.157217	dualbound = 3646937.850016, lowerbound=1294138.850016, norm of subgrad 36.427023	 stepsize= 1.000000 
-dualbound = 3646994.536215, lowerbound=1293711.536215, norm of subgrad 1137.967283	dualbound = 3646994.536215, lowerbound=1293711.536215, norm of subgrad 36.258602	 stepsize= 1.000000 
-dualbound = 3647066.600392, lowerbound=1291379.600392, norm of subgrad 1136.908792	dualbound = 3647066.600392, lowerbound=1291379.600392, norm of subgrad 35.412769	 stepsize= 1.000000 
-dualbound = 3647146.970355, lowerbound=1298359.970355, norm of subgrad 1139.983759	dualbound = 3647146.970355, lowerbound=1298359.970355, norm of subgrad 35.824153	 stepsize= 1.000000 
-dualbound = 3647201.340347, lowerbound=1291148.340347, norm of subgrad 1136.808841	dualbound = 3647201.340347, lowerbound=1291148.340347, norm of subgrad 35.218887	 stepsize= 1.000000 
-dualbound = 3647280.827156, lowerbound=1292035.827156, norm of subgrad 1137.210107	dualbound = 3647280.827156, lowerbound=1292035.827156, norm of subgrad 35.923346	 stepsize= 1.000000 
-dualbound = 3647322.063349, lowerbound=1299489.063349, norm of subgrad 1140.488081	dualbound = 3647322.063349, lowerbound=1299489.063349, norm of subgrad 35.570159	 stepsize= 1.000000 
-dualbound = 3647405.714603, lowerbound=1293539.714603, norm of subgrad 1137.896179	dualbound = 3647405.714603, lowerbound=1293539.714603, norm of subgrad 36.764810	 stepsize= 1.000000 
-dualbound = 3647451.105503, lowerbound=1295561.105503, norm of subgrad 1138.779656	dualbound = 3647451.105503, lowerbound=1295561.105503, norm of subgrad 36.102505	 stepsize= 1.000000 
-dualbound = 3647525.808073, lowerbound=1293169.808073, norm of subgrad 1137.730991	dualbound = 3647525.808073, lowerbound=1293169.808073, norm of subgrad 36.560943	 stepsize= 1.000000 
-dualbound = 3647610.071168, lowerbound=1291887.071168, norm of subgrad 1137.141183	dualbound = 3647610.071168, lowerbound=1291887.071168, norm of subgrad 35.878449	 stepsize= 1.000000 
-dualbound = 3647689.685155, lowerbound=1292388.685155, norm of subgrad 1137.363040	dualbound = 3647689.685155, lowerbound=1292388.685155, norm of subgrad 35.855460	 stepsize= 1.000000 
-dualbound = 3647724.096033, lowerbound=1296627.096033, norm of subgrad 1139.232240	dualbound = 3647724.096033, lowerbound=1296627.096033, norm of subgrad 35.459990	 stepsize= 1.000000 
-dualbound = 3647821.729272, lowerbound=1291424.729272, norm of subgrad 1136.911487	dualbound = 3647821.729272, lowerbound=1291424.729272, norm of subgrad 35.222624	 stepsize= 1.000000 
-dualbound = 3647872.606052, lowerbound=1294708.606052, norm of subgrad 1138.402656	dualbound = 3647872.606052, lowerbound=1294708.606052, norm of subgrad 36.095384	 stepsize= 1.000000 
-dualbound = 3647925.544951, lowerbound=1291409.544951, norm of subgrad 1136.961541	dualbound = 3647925.544951, lowerbound=1291409.544951, norm of subgrad 36.399710	 stepsize= 1.000000 
-dualbound = 3647971.105888, lowerbound=1297158.105888, norm of subgrad 1139.474926	dualbound = 3647971.105888, lowerbound=1297158.105888, norm of subgrad 35.924378	 stepsize= 1.000000 
-dualbound = 3648064.911767, lowerbound=1296194.911767, norm of subgrad 1139.039908	dualbound = 3648064.911767, lowerbound=1296194.911767, norm of subgrad 36.205053	 stepsize= 1.000000 
-dualbound = 3648118.640018, lowerbound=1298506.640018, norm of subgrad 1140.063437	dualbound = 3648118.640018, lowerbound=1298506.640018, norm of subgrad 35.940621	 stepsize= 1.000000 
-dualbound = 3648198.924197, lowerbound=1293229.924197, norm of subgrad 1137.749500	dualbound = 3648198.924197, lowerbound=1293229.924197, norm of subgrad 36.390716	 stepsize= 1.000000 
-dualbound = 3648237.157624, lowerbound=1294819.157624, norm of subgrad 1138.467021	dualbound = 3648237.157624, lowerbound=1294819.157624, norm of subgrad 36.417488	 stepsize= 1.000000 
-dualbound = 3648302.014088, lowerbound=1292766.014088, norm of subgrad 1137.542533	dualbound = 3648302.014088, lowerbound=1292766.014088, norm of subgrad 36.081248	 stepsize= 1.000000 
-dualbound = 3648391.050849, lowerbound=1293599.050849, norm of subgrad 1137.909070	dualbound = 3648391.050849, lowerbound=1293599.050849, norm of subgrad 36.428516	 stepsize= 1.000000 
-dualbound = 3648480.228249, lowerbound=1293513.228249, norm of subgrad 1137.870040	dualbound = 3648480.228249, lowerbound=1293513.228249, norm of subgrad 36.389248	 stepsize= 1.000000 
-dualbound = 3648517.980329, lowerbound=1293715.980329, norm of subgrad 1137.972311	dualbound = 3648517.980329, lowerbound=1293715.980329, norm of subgrad 36.093657	 stepsize= 1.000000 
-dualbound = 3648606.176450, lowerbound=1289509.176450, norm of subgrad 1136.075339	dualbound = 3648606.176450, lowerbound=1289509.176450, norm of subgrad 35.301503	 stepsize= 1.000000 
-dualbound = 3648692.338391, lowerbound=1290840.338391, norm of subgrad 1136.680843	dualbound = 3648692.338391, lowerbound=1290840.338391, norm of subgrad 35.904901	 stepsize= 1.000000 
-dualbound = 3648733.715862, lowerbound=1295203.715862, norm of subgrad 1138.597258	dualbound = 3648733.715862, lowerbound=1295203.715862, norm of subgrad 35.233187	 stepsize= 1.000000 
-dualbound = 3648822.964096, lowerbound=1293803.964096, norm of subgrad 1137.963956	dualbound = 3648822.964096, lowerbound=1293803.964096, norm of subgrad 35.316402	 stepsize= 1.000000 
-dualbound = 3648887.991940, lowerbound=1299423.991940, norm of subgrad 1140.447716	dualbound = 3648887.991940, lowerbound=1299423.991940, norm of subgrad 35.525031	 stepsize= 1.000000 
-dualbound = 3648935.190157, lowerbound=1289213.190157, norm of subgrad 1135.959150	dualbound = 3648935.190157, lowerbound=1289213.190157, norm of subgrad 35.173829	 stepsize= 1.000000 
-dualbound = 3648996.277341, lowerbound=1297771.277341, norm of subgrad 1139.727282	dualbound = 3648996.277341, lowerbound=1297771.277341, norm of subgrad 35.610212	 stepsize= 1.000000 
-dualbound = 3649061.605833, lowerbound=1291767.605833, norm of subgrad 1137.096568	dualbound = 3649061.605833, lowerbound=1291767.605833, norm of subgrad 35.865422	 stepsize= 1.000000 
-dualbound = 3649129.608894, lowerbound=1295680.608894, norm of subgrad 1138.840906	dualbound = 3649129.608894, lowerbound=1295680.608894, norm of subgrad 36.687914	 stepsize= 1.000000 
-dualbound = 3649191.984780, lowerbound=1299589.984780, norm of subgrad 1140.551176	dualbound = 3649191.984780, lowerbound=1299589.984780, norm of subgrad 36.460607	 stepsize= 1.000000 
-dualbound = 3649242.776743, lowerbound=1287844.776743, norm of subgrad 1135.380895	dualbound = 3649242.776743, lowerbound=1287844.776743, norm of subgrad 35.997110	 stepsize= 1.000000 
-dualbound = 3649322.475320, lowerbound=1295828.475320, norm of subgrad 1138.889141	dualbound = 3649322.475320, lowerbound=1295828.475320, norm of subgrad 36.327656	 stepsize= 1.000000 
-dualbound = 3649395.185128, lowerbound=1293850.185128, norm of subgrad 1138.018535	dualbound = 3649395.185128, lowerbound=1293850.185128, norm of subgrad 36.176094	 stepsize= 1.000000 
-dualbound = 3649452.687725, lowerbound=1295868.687725, norm of subgrad 1138.919087	dualbound = 3649452.687725, lowerbound=1295868.687725, norm of subgrad 36.407452	 stepsize= 1.000000 
-dualbound = 3649509.395040, lowerbound=1293692.395040, norm of subgrad 1137.965024	dualbound = 3649509.395040, lowerbound=1293692.395040, norm of subgrad 36.451438	 stepsize= 1.000000 
-dualbound = 3649587.922219, lowerbound=1299563.922219, norm of subgrad 1140.504240	dualbound = 3649587.922219, lowerbound=1299563.922219, norm of subgrad 35.560191	 stepsize= 1.000000 
-dualbound = 3649675.508019, lowerbound=1292090.508019, norm of subgrad 1137.230631	dualbound = 3649675.508019, lowerbound=1292090.508019, norm of subgrad 35.924724	 stepsize= 1.000000 
-dualbound = 3649726.453411, lowerbound=1297931.453411, norm of subgrad 1139.798865	dualbound = 3649726.453411, lowerbound=1297931.453411, norm of subgrad 35.509793	 stepsize= 1.000000 
-dualbound = 3649794.663723, lowerbound=1297294.663723, norm of subgrad 1139.505886	dualbound = 3649794.663723, lowerbound=1297294.663723, norm of subgrad 35.315865	 stepsize= 1.000000 
-dualbound = 3649856.713439, lowerbound=1291193.713439, norm of subgrad 1136.864422	dualbound = 3649856.713439, lowerbound=1291193.713439, norm of subgrad 36.456134	 stepsize= 1.000000 
-dualbound = 3649954.048219, lowerbound=1292228.048219, norm of subgrad 1137.296816	dualbound = 3649954.048219, lowerbound=1292228.048219, norm of subgrad 36.239961	 stepsize= 1.000000 
-dualbound = 3649979.955993, lowerbound=1298208.955993, norm of subgrad 1139.905240	dualbound = 3649979.955993, lowerbound=1298208.955993, norm of subgrad 34.654116	 stepsize= 1.000000 
-dualbound = 3650084.878699, lowerbound=1291849.878699, norm of subgrad 1137.145056	dualbound = 3650084.878699, lowerbound=1291849.878699, norm of subgrad 36.795689	 stepsize= 1.000000 
-dualbound = 3650113.296478, lowerbound=1298586.296478, norm of subgrad 1140.104950	dualbound = 3650113.296478, lowerbound=1298586.296478, norm of subgrad 35.796896	 stepsize= 1.000000 
-dualbound = 3650178.786518, lowerbound=1291257.786518, norm of subgrad 1136.897879	dualbound = 3650178.786518, lowerbound=1291257.786518, norm of subgrad 36.667288	 stepsize= 1.000000 
-dualbound = 3650253.767808, lowerbound=1294833.767808, norm of subgrad 1138.438741	dualbound = 3650253.767808, lowerbound=1294833.767808, norm of subgrad 35.832685	 stepsize= 1.000000 
-dualbound = 3650347.880154, lowerbound=1292483.880154, norm of subgrad 1137.415439	dualbound = 3650347.880154, lowerbound=1292483.880154, norm of subgrad 36.388355	 stepsize= 1.000000 
-dualbound = 3650393.669154, lowerbound=1295205.669154, norm of subgrad 1138.585381	dualbound = 3650393.669154, lowerbound=1295205.669154, norm of subgrad 34.882503	 stepsize= 1.000000 
-dualbound = 3650484.689322, lowerbound=1296942.689322, norm of subgrad 1139.357139	dualbound = 3650484.689322, lowerbound=1296942.689322, norm of subgrad 35.819271	 stepsize= 1.000000 
-dualbound = 3650527.634432, lowerbound=1294567.634432, norm of subgrad 1138.317458	dualbound = 3650527.634432, lowerbound=1294567.634432, norm of subgrad 35.241242	 stepsize= 1.000000 
-dualbound = 3650592.019743, lowerbound=1295786.019743, norm of subgrad 1138.883673	dualbound = 3650592.019743, lowerbound=1295786.019743, norm of subgrad 36.529239	 stepsize= 1.000000 
-dualbound = 3650657.395082, lowerbound=1293450.395082, norm of subgrad 1137.834960	dualbound = 3650657.395082, lowerbound=1293450.395082, norm of subgrad 35.824228	 stepsize= 1.000000 
-dualbound = 3650735.796530, lowerbound=1291460.796530, norm of subgrad 1136.966049	dualbound = 3650735.796530, lowerbound=1291460.796530, norm of subgrad 36.185653	 stepsize= 1.000000 
-dualbound = 3650781.099719, lowerbound=1291620.099719, norm of subgrad 1137.052813	dualbound = 3650781.099719, lowerbound=1291620.099719, norm of subgrad 36.253320	 stepsize= 1.000000 
-dualbound = 3650850.111978, lowerbound=1293871.111978, norm of subgrad 1138.014548	dualbound = 3650850.111978, lowerbound=1293871.111978, norm of subgrad 35.707314	 stepsize= 1.000000 
-dualbound = 3650912.694139, lowerbound=1293954.694139, norm of subgrad 1138.073677	dualbound = 3650912.694139, lowerbound=1293954.694139, norm of subgrad 36.326053	 stepsize= 1.000000 
-dualbound = 3650975.601043, lowerbound=1294658.601043, norm of subgrad 1138.387281	dualbound = 3650975.601043, lowerbound=1294658.601043, norm of subgrad 36.467889	 stepsize= 1.000000 
-dualbound = 3651058.354204, lowerbound=1294216.354204, norm of subgrad 1138.161392	dualbound = 3651058.354204, lowerbound=1294216.354204, norm of subgrad 35.745673	 stepsize= 1.000000 
-dualbound = 3651146.498090, lowerbound=1296890.498090, norm of subgrad 1139.361443	dualbound = 3651146.498090, lowerbound=1296890.498090, norm of subgrad 36.635282	 stepsize= 1.000000 
-dualbound = 3651180.351859, lowerbound=1287760.351859, norm of subgrad 1135.367056	dualbound = 3651180.351859, lowerbound=1287760.351859, norm of subgrad 36.494572	 stepsize= 1.000000 
-dualbound = 3651249.727369, lowerbound=1298501.727369, norm of subgrad 1140.053388	dualbound = 3651249.727369, lowerbound=1298501.727369, norm of subgrad 35.907875	 stepsize= 1.000000 
-dualbound = 3651334.805191, lowerbound=1292665.805191, norm of subgrad 1137.501123	dualbound = 3651334.805191, lowerbound=1292665.805191, norm of subgrad 36.442802	 stepsize= 1.000000 
-dualbound = 3651370.815407, lowerbound=1296253.815407, norm of subgrad 1139.092101	dualbound = 3651370.815407, lowerbound=1296253.815407, norm of subgrad 36.235483	 stepsize= 1.000000 
-dualbound = 3651473.527881, lowerbound=1297250.527881, norm of subgrad 1139.491785	dualbound = 3651473.527881, lowerbound=1297250.527881, norm of subgrad 35.968215	 stepsize= 1.000000 
-dualbound = 3651514.940323, lowerbound=1291277.940323, norm of subgrad 1136.904983	dualbound = 3651514.940323, lowerbound=1291277.940323, norm of subgrad 36.282399	 stepsize= 1.000000 
-dualbound = 3651587.314268, lowerbound=1295594.314268, norm of subgrad 1138.776235	dualbound = 3651587.314268, lowerbound=1295594.314268, norm of subgrad 35.907854	 stepsize= 1.000000 
-dualbound = 3651673.383356, lowerbound=1292316.383356, norm of subgrad 1137.315428	dualbound = 3651673.383356, lowerbound=1292316.383356, norm of subgrad 35.441065	 stepsize= 1.000000 
-dualbound = 3651744.710106, lowerbound=1294186.710106, norm of subgrad 1138.150126	dualbound = 3651744.710106, lowerbound=1294186.710106, norm of subgrad 35.641643	 stepsize= 1.000000 
-dualbound = 3651784.386263, lowerbound=1292985.386263, norm of subgrad 1137.602033	dualbound = 3651784.386263, lowerbound=1292985.386263, norm of subgrad 34.535144	 stepsize= 1.000000 
-dualbound = 3651902.070449, lowerbound=1298313.070449, norm of subgrad 1139.920204	dualbound = 3651902.070449, lowerbound=1298313.070449, norm of subgrad 34.966901	 stepsize= 1.000000 
-dualbound = 3651949.590398, lowerbound=1291533.590398, norm of subgrad 1136.969916	dualbound = 3651949.590398, lowerbound=1291533.590398, norm of subgrad 34.849963	 stepsize= 1.000000 
-dualbound = 3652022.614989, lowerbound=1299652.614989, norm of subgrad 1140.537862	dualbound = 3652022.614989, lowerbound=1299652.614989, norm of subgrad 35.313235	 stepsize= 1.000000 
-dualbound = 3652062.795415, lowerbound=1293885.795415, norm of subgrad 1138.012212	dualbound = 3652062.795415, lowerbound=1293885.795415, norm of subgrad 35.016859	 stepsize= 1.000000 
-dualbound = 3652146.468821, lowerbound=1293378.468821, norm of subgrad 1137.802474	dualbound = 3652146.468821, lowerbound=1293378.468821, norm of subgrad 36.050983	 stepsize= 1.000000 
-dualbound = 3652159.500801, lowerbound=1296344.500801, norm of subgrad 1139.127956	dualbound = 3652159.500801, lowerbound=1296344.500801, norm of subgrad 35.791507	 stepsize= 1.000000 
-dualbound = 3652279.550978, lowerbound=1296805.550978, norm of subgrad 1139.308365	dualbound = 3652279.550978, lowerbound=1296805.550978, norm of subgrad 36.579368	 stepsize= 1.000000 
-dualbound = 3652317.136735, lowerbound=1296495.136735, norm of subgrad 1139.198023	dualbound = 3652317.136735, lowerbound=1296495.136735, norm of subgrad 36.257217	 stepsize= 1.000000 
-dualbound = 3652370.990042, lowerbound=1294531.990042, norm of subgrad 1138.316735	dualbound = 3652370.990042, lowerbound=1294531.990042, norm of subgrad 35.872738	 stepsize= 1.000000 
-dualbound = 3652459.619000, lowerbound=1297897.619000, norm of subgrad 1139.808589	dualbound = 3652459.619000, lowerbound=1297897.619000, norm of subgrad 36.805284	 stepsize= 1.000000 
-dualbound = 3652501.970061, lowerbound=1297721.970061, norm of subgrad 1139.753030	dualbound = 3652501.970061, lowerbound=1297721.970061, norm of subgrad 36.842246	 stepsize= 1.000000 
-dualbound = 3652572.858361, lowerbound=1296394.858361, norm of subgrad 1139.135136	dualbound = 3652572.858361, lowerbound=1296394.858361, norm of subgrad 36.123238	 stepsize= 1.000000 
-dualbound = 3652663.274927, lowerbound=1295359.274927, norm of subgrad 1138.676106	dualbound = 3652663.274927, lowerbound=1295359.274927, norm of subgrad 36.254883	 stepsize= 1.000000 
-dualbound = 3652703.581520, lowerbound=1293078.581520, norm of subgrad 1137.680351	dualbound = 3652703.581520, lowerbound=1293078.581520, norm of subgrad 35.753414	 stepsize= 1.000000 
-dualbound = 3652798.503386, lowerbound=1289968.503386, norm of subgrad 1136.265155	dualbound = 3652798.503386, lowerbound=1289968.503386, norm of subgrad 34.998884	 stepsize= 1.000000 
-dualbound = 3652858.369496, lowerbound=1292239.369496, norm of subgrad 1137.293880	dualbound = 3652858.369496, lowerbound=1292239.369496, norm of subgrad 35.466408	 stepsize= 1.000000 
-dualbound = 3652924.619730, lowerbound=1295423.619730, norm of subgrad 1138.702165	dualbound = 3652924.619730, lowerbound=1295423.619730, norm of subgrad 35.850387	 stepsize= 1.000000 
-dualbound = 3652961.670531, lowerbound=1291850.670531, norm of subgrad 1137.149362	dualbound = 3652961.670531, lowerbound=1291850.670531, norm of subgrad 35.986814	 stepsize= 1.000000 
-dualbound = 3653051.925407, lowerbound=1298757.925407, norm of subgrad 1140.163114	dualbound = 3653051.925407, lowerbound=1298757.925407, norm of subgrad 36.114469	 stepsize= 1.000000 
-dualbound = 3653095.163610, lowerbound=1294650.163610, norm of subgrad 1138.387967	dualbound = 3653095.163610, lowerbound=1294650.163610, norm of subgrad 36.335082	 stepsize= 1.000000 
-dualbound = 3653169.812311, lowerbound=1292036.812311, norm of subgrad 1137.239558	dualbound = 3653169.812311, lowerbound=1292036.812311, norm of subgrad 36.764775	 stepsize= 1.000000 
-dualbound = 3653250.655706, lowerbound=1295239.655706, norm of subgrad 1138.606893	dualbound = 3653250.655706, lowerbound=1295239.655706, norm of subgrad 35.592744	 stepsize= 1.000000 
-dualbound = 3653324.476361, lowerbound=1291806.476361, norm of subgrad 1137.107944	dualbound = 3653324.476361, lowerbound=1291806.476361, norm of subgrad 35.802523	 stepsize= 1.000000 
-dualbound = 3653379.984507, lowerbound=1293948.984507, norm of subgrad 1138.067654	dualbound = 3653379.984507, lowerbound=1293948.984507, norm of subgrad 36.117975	 stepsize= 1.000000 
-dualbound = 3653449.093873, lowerbound=1292646.093873, norm of subgrad 1137.497294	dualbound = 3653449.093873, lowerbound=1292646.093873, norm of subgrad 36.374570	 stepsize= 1.000000 
-dualbound = 3653496.747180, lowerbound=1295250.747180, norm of subgrad 1138.658749	dualbound = 3653496.747180, lowerbound=1295250.747180, norm of subgrad 36.614933	 stepsize= 1.000000 
-dualbound = 3653558.865409, lowerbound=1298709.865409, norm of subgrad 1140.158702	dualbound = 3653558.865409, lowerbound=1298709.865409, norm of subgrad 36.250769	 stepsize= 1.000000 
-dualbound = 3653644.836444, lowerbound=1291579.836444, norm of subgrad 1137.037307	dualbound = 3653644.836444, lowerbound=1291579.836444, norm of subgrad 36.877785	 stepsize= 1.000000 
-dualbound = 3653708.313977, lowerbound=1297088.313977, norm of subgrad 1139.431136	dualbound = 3653708.313977, lowerbound=1297088.313977, norm of subgrad 35.755804	 stepsize= 1.000000 
-dualbound = 3653782.663290, lowerbound=1294257.663290, norm of subgrad 1138.160210	dualbound = 3653782.663290, lowerbound=1294257.663290, norm of subgrad 35.004990	 stepsize= 1.000000 
-dualbound = 3653866.720672, lowerbound=1293304.720672, norm of subgrad 1137.752487	dualbound = 3653866.720672, lowerbound=1293304.720672, norm of subgrad 35.497287	 stepsize= 1.000000 
-dualbound = 3653917.207832, lowerbound=1292005.207832, norm of subgrad 1137.219507	dualbound = 3653917.207832, lowerbound=1292005.207832, norm of subgrad 36.242063	 stepsize= 1.000000 
-dualbound = 3653949.363414, lowerbound=1293659.363414, norm of subgrad 1137.955343	dualbound = 3653949.363414, lowerbound=1293659.363414, norm of subgrad 36.265074	 stepsize= 1.000000 
-dualbound = 3654013.859215, lowerbound=1293482.859215, norm of subgrad 1137.868999	dualbound = 3654013.859215, lowerbound=1293482.859215, norm of subgrad 36.434816	 stepsize= 1.000000 
-dualbound = 3654105.671554, lowerbound=1296471.671554, norm of subgrad 1139.187286	dualbound = 3654105.671554, lowerbound=1296471.671554, norm of subgrad 36.983947	 stepsize= 1.000000 
-dualbound = 3654169.853259, lowerbound=1296287.853259, norm of subgrad 1139.088167	dualbound = 3654169.853259, lowerbound=1296287.853259, norm of subgrad 36.030289	 stepsize= 1.000000 
-dualbound = 3654243.200157, lowerbound=1290525.200157, norm of subgrad 1136.550131	dualbound = 3654243.200157, lowerbound=1290525.200157, norm of subgrad 35.977033	 stepsize= 1.000000 
-dualbound = 3654336.413998, lowerbound=1296080.413998, norm of subgrad 1138.981305	dualbound = 3654336.413998, lowerbound=1296080.413998, norm of subgrad 35.933464	 stepsize= 1.000000 
-dualbound = 3654378.373110, lowerbound=1290858.373110, norm of subgrad 1136.708570	dualbound = 3654378.373110, lowerbound=1290858.373110, norm of subgrad 35.916001	 stepsize= 1.000000 
-dualbound = 3654424.039187, lowerbound=1295405.039187, norm of subgrad 1138.729572	dualbound = 3654424.039187, lowerbound=1295405.039187, norm of subgrad 36.683322	 stepsize= 1.000000 
-dualbound = 3654477.640536, lowerbound=1293618.640536, norm of subgrad 1137.941405	dualbound = 3654477.640536, lowerbound=1293618.640536, norm of subgrad 36.682439	 stepsize= 1.000000 
-dualbound = 3654556.425873, lowerbound=1295453.425873, norm of subgrad 1138.720960	dualbound = 3654556.425873, lowerbound=1295453.425873, norm of subgrad 36.204770	 stepsize= 1.000000 
-dualbound = 3654635.029290, lowerbound=1293484.029290, norm of subgrad 1137.860725	dualbound = 3654635.029290, lowerbound=1293484.029290, norm of subgrad 36.353864	 stepsize= 1.000000 
-dualbound = 3654711.490133, lowerbound=1291759.490133, norm of subgrad 1137.104872	dualbound = 3654711.490133, lowerbound=1291759.490133, norm of subgrad 36.393143	 stepsize= 1.000000 
-dualbound = 3654762.104237, lowerbound=1297119.104237, norm of subgrad 1139.450791	dualbound = 3654762.104237, lowerbound=1297119.104237, norm of subgrad 35.771694	 stepsize= 1.000000 
-dualbound = 3654842.628135, lowerbound=1300068.628135, norm of subgrad 1140.760110	dualbound = 3654842.628135, lowerbound=1300068.628135, norm of subgrad 36.681384	 stepsize= 1.000000 
-dualbound = 3654884.413276, lowerbound=1290885.413276, norm of subgrad 1136.708148	dualbound = 3654884.413276, lowerbound=1290885.413276, norm of subgrad 35.521615	 stepsize= 1.000000 
-dualbound = 3654979.785548, lowerbound=1296852.785548, norm of subgrad 1139.331289	dualbound = 3654979.785548, lowerbound=1296852.785548, norm of subgrad 36.309396	 stepsize= 1.000000 
-dualbound = 3655034.789923, lowerbound=1296762.789923, norm of subgrad 1139.284771	dualbound = 3655034.789923, lowerbound=1296762.789923, norm of subgrad 35.524701	 stepsize= 1.000000 
-dualbound = 3655115.655194, lowerbound=1289319.655194, norm of subgrad 1136.013052	dualbound = 3655115.655194, lowerbound=1289319.655194, norm of subgrad 35.872904	 stepsize= 1.000000 
-dualbound = 3655188.876308, lowerbound=1290809.876308, norm of subgrad 1136.632252	dualbound = 3655188.876308, lowerbound=1290809.876308, norm of subgrad 34.586430	 stepsize= 1.000000 
-dualbound = 3655264.412849, lowerbound=1298191.412849, norm of subgrad 1139.890088	dualbound = 3655264.412849, lowerbound=1298191.412849, norm of subgrad 35.121739	 stepsize= 1.000000 
-dualbound = 3655322.772201, lowerbound=1289707.772201, norm of subgrad 1136.183424	dualbound = 3655322.772201, lowerbound=1289707.772201, norm of subgrad 35.543767	 stepsize= 1.000000 
-dualbound = 3655373.003985, lowerbound=1297039.003985, norm of subgrad 1139.443287	dualbound = 3655373.003985, lowerbound=1297039.003985, norm of subgrad 36.636482	 stepsize= 1.000000 
-dualbound = 3655426.839409, lowerbound=1296246.839409, norm of subgrad 1139.050411	dualbound = 3655426.839409, lowerbound=1296246.839409, norm of subgrad 35.253871	 stepsize= 1.000000 
-dualbound = 3655520.625347, lowerbound=1291237.625347, norm of subgrad 1136.845471	dualbound = 3655520.625347, lowerbound=1291237.625347, norm of subgrad 35.690138	 stepsize= 1.000000 
-dualbound = 3655580.981427, lowerbound=1296021.981427, norm of subgrad 1138.958727	dualbound = 3655580.981427, lowerbound=1296021.981427, norm of subgrad 35.571844	 stepsize= 1.000000 
-dualbound = 3655634.756788, lowerbound=1295101.756788, norm of subgrad 1138.577954	dualbound = 3655634.756788, lowerbound=1295101.756788, norm of subgrad 36.218440	 stepsize= 1.000000 
-dualbound = 3655706.144645, lowerbound=1290528.144645, norm of subgrad 1136.536469	dualbound = 3655706.144645, lowerbound=1290528.144645, norm of subgrad 35.473763	 stepsize= 1.000000 
-dualbound = 3655796.573691, lowerbound=1293959.573691, norm of subgrad 1138.050339	dualbound = 3655796.573691, lowerbound=1293959.573691, norm of subgrad 35.908621	 stepsize= 1.000000 
-dualbound = 3655847.160699, lowerbound=1298103.160699, norm of subgrad 1139.900505	dualbound = 3655847.160699, lowerbound=1298103.160699, norm of subgrad 36.339882	 stepsize= 1.000000 
-dualbound = 3655889.412098, lowerbound=1291005.412098, norm of subgrad 1136.814590	dualbound = 3655889.412098, lowerbound=1291005.412098, norm of subgrad 37.205529	 stepsize= 1.000000 
-dualbound = 3655951.211747, lowerbound=1296815.211747, norm of subgrad 1139.313483	dualbound = 3655951.211747, lowerbound=1296815.211747, norm of subgrad 35.802230	 stepsize= 1.000000 
-dualbound = 3656063.240515, lowerbound=1293689.240515, norm of subgrad 1137.947820	dualbound = 3656063.240515, lowerbound=1293689.240515, norm of subgrad 36.715511	 stepsize= 1.000000 
-dualbound = 3656096.428089, lowerbound=1296451.428089, norm of subgrad 1139.177084	dualbound = 3656096.428089, lowerbound=1296451.428089, norm of subgrad 36.141217	 stepsize= 1.000000 
-dualbound = 3656164.297453, lowerbound=1299393.297453, norm of subgrad 1140.458810	dualbound = 3656164.297453, lowerbound=1299393.297453, norm of subgrad 36.343767	 stepsize= 1.000000 
-dualbound = 3656240.650162, lowerbound=1294502.650162, norm of subgrad 1138.288913	dualbound = 3656240.650162, lowerbound=1294502.650162, norm of subgrad 35.712081	 stepsize= 1.000000 
-dualbound = 3656304.039420, lowerbound=1292693.039420, norm of subgrad 1137.499028	dualbound = 3656304.039420, lowerbound=1292693.039420, norm of subgrad 35.698589	 stepsize= 1.000000 
-dualbound = 3656379.985339, lowerbound=1292883.985339, norm of subgrad 1137.576804	dualbound = 3656379.985339, lowerbound=1292883.985339, norm of subgrad 35.678368	 stepsize= 1.000000 
-dualbound = 3656437.705676, lowerbound=1296708.705676, norm of subgrad 1139.287806	dualbound = 3656437.705676, lowerbound=1296708.705676, norm of subgrad 36.410443	 stepsize= 1.000000 
-dualbound = 3656488.280510, lowerbound=1292931.280510, norm of subgrad 1137.624402	dualbound = 3656488.280510, lowerbound=1292931.280510, norm of subgrad 36.174229	 stepsize= 1.000000 
-dualbound = 3656568.644193, lowerbound=1298189.644193, norm of subgrad 1139.924841	dualbound = 3656568.644193, lowerbound=1298189.644193, norm of subgrad 36.323046	 stepsize= 1.000000 
-dualbound = 3656625.274273, lowerbound=1287424.274273, norm of subgrad 1135.193056	dualbound = 3656625.274273, lowerbound=1287424.274273, norm of subgrad 35.994862	 stepsize= 1.000000 
-dualbound = 3656682.592458, lowerbound=1296171.592458, norm of subgrad 1139.043279	dualbound = 3656682.592458, lowerbound=1296171.592458, norm of subgrad 36.129187	 stepsize= 1.000000 
-dualbound = 3656774.380123, lowerbound=1291409.380123, norm of subgrad 1136.938160	dualbound = 3656774.380123, lowerbound=1291409.380123, norm of subgrad 36.204802	 stepsize= 1.000000 
-dualbound = 3656830.605296, lowerbound=1301619.605296, norm of subgrad 1141.419995	dualbound = 3656830.605296, lowerbound=1301619.605296, norm of subgrad 35.724294	 stepsize= 1.000000 
-dualbound = 3656903.546463, lowerbound=1288892.546463, norm of subgrad 1135.832535	dualbound = 3656903.546463, lowerbound=1288892.546463, norm of subgrad 35.999183	 stepsize= 1.000000 
-dualbound = 3656952.768397, lowerbound=1298551.768397, norm of subgrad 1140.099017	dualbound = 3656952.768397, lowerbound=1298551.768397, norm of subgrad 36.376118	 stepsize= 1.000000 
-dualbound = 3657018.263822, lowerbound=1293540.263822, norm of subgrad 1137.877086	dualbound = 3657018.263822, lowerbound=1293540.263822, norm of subgrad 35.909545	 stepsize= 1.000000 
-dualbound = 3657079.208956, lowerbound=1295987.208956, norm of subgrad 1138.967168	dualbound = 3657079.208956, lowerbound=1295987.208956, norm of subgrad 36.331049	 stepsize= 1.000000 
-dualbound = 3657136.992780, lowerbound=1294687.992780, norm of subgrad 1138.387014	dualbound = 3657136.992780, lowerbound=1294687.992780, norm of subgrad 35.983105	 stepsize= 1.000000 
-dualbound = 3657225.092504, lowerbound=1296969.092504, norm of subgrad 1139.389351	dualbound = 3657225.092504, lowerbound=1296969.092504, norm of subgrad 36.429380	 stepsize= 1.000000 
-dualbound = 3657292.673391, lowerbound=1296687.673391, norm of subgrad 1139.237321	dualbound = 3657292.673391, lowerbound=1296687.673391, norm of subgrad 35.236074	 stepsize= 1.000000 
-dualbound = 3657361.680027, lowerbound=1298334.680027, norm of subgrad 1139.983631	dualbound = 3657361.680027, lowerbound=1298334.680027, norm of subgrad 36.013978	 stepsize= 1.000000 
-dualbound = 3657403.905631, lowerbound=1292156.905631, norm of subgrad 1137.254547	dualbound = 3657403.905631, lowerbound=1292156.905631, norm of subgrad 35.117312	 stepsize= 1.000000 
-dualbound = 3657496.438584, lowerbound=1292579.438584, norm of subgrad 1137.451291	dualbound = 3657496.438584, lowerbound=1292579.438584, norm of subgrad 36.173650	 stepsize= 1.000000 
-dualbound = 3657532.297940, lowerbound=1300327.297940, norm of subgrad 1140.876986	dualbound = 3657532.297940, lowerbound=1300327.297940, norm of subgrad 36.178161	 stepsize= 1.000000 
-dualbound = 3657602.149964, lowerbound=1290630.149964, norm of subgrad 1136.618296	dualbound = 3657602.149964, lowerbound=1290630.149964, norm of subgrad 36.617646	 stepsize= 1.000000 
-dualbound = 3657678.538420, lowerbound=1289748.538420, norm of subgrad 1136.217646	dualbound = 3657678.538420, lowerbound=1289748.538420, norm of subgrad 36.309619	 stepsize= 1.000000 
-dualbound = 3657741.183056, lowerbound=1301356.183056, norm of subgrad 1141.308102	dualbound = 3657741.183056, lowerbound=1301356.183056, norm of subgrad 35.925543	 stepsize= 1.000000 
-dualbound = 3657821.017811, lowerbound=1292808.017811, norm of subgrad 1137.574621	dualbound = 3657821.017811, lowerbound=1292808.017811, norm of subgrad 36.712869	 stepsize= 1.000000 
-dualbound = 3657872.348377, lowerbound=1296329.348377, norm of subgrad 1139.106820	dualbound = 3657872.348377, lowerbound=1296329.348377, norm of subgrad 35.865451	 stepsize= 1.000000 
-dualbound = 3657971.367050, lowerbound=1296122.367050, norm of subgrad 1138.994454	dualbound = 3657971.367050, lowerbound=1296122.367050, norm of subgrad 35.847157	 stepsize= 1.000000 
-dualbound = 3658016.752677, lowerbound=1295081.752677, norm of subgrad 1138.563021	dualbound = 3658016.752677, lowerbound=1295081.752677, norm of subgrad 35.908016	 stepsize= 1.000000 
-dualbound = 3658063.766146, lowerbound=1293281.766146, norm of subgrad 1137.807438	dualbound = 3658063.766146, lowerbound=1293281.766146, norm of subgrad 37.027199	 stepsize= 1.000000 
-dualbound = 3658133.152923, lowerbound=1291673.152923, norm of subgrad 1137.077022	dualbound = 3658133.152923, lowerbound=1291673.152923, norm of subgrad 36.611293	 stepsize= 1.000000 
-dualbound = 3658196.649573, lowerbound=1298395.649573, norm of subgrad 1140.015636	dualbound = 3658196.649573, lowerbound=1298395.649573, norm of subgrad 36.103970	 stepsize= 1.000000 
-dualbound = 3658275.069864, lowerbound=1292077.069864, norm of subgrad 1137.236154	dualbound = 3658275.069864, lowerbound=1292077.069864, norm of subgrad 36.158267	 stepsize= 1.000000 
-dualbound = 3658342.983823, lowerbound=1298335.983823, norm of subgrad 1139.993414	dualbound = 3658342.983823, lowerbound=1298335.983823, norm of subgrad 36.289309	 stepsize= 1.000000 
-dualbound = 3658408.115036, lowerbound=1293038.115036, norm of subgrad 1137.679267	dualbound = 3658408.115036, lowerbound=1293038.115036, norm of subgrad 36.621458	 stepsize= 1.000000 
-dualbound = 3658462.002636, lowerbound=1297605.002636, norm of subgrad 1139.656967	dualbound = 3658462.002636, lowerbound=1297605.002636, norm of subgrad 35.593365	 stepsize= 1.000000 
-dualbound = 3658556.138449, lowerbound=1295838.138449, norm of subgrad 1138.859578	dualbound = 3658556.138449, lowerbound=1295838.138449, norm of subgrad 35.456111	 stepsize= 1.000000 
-dualbound = 3658602.104511, lowerbound=1296719.104511, norm of subgrad 1139.265160	dualbound = 3658602.104511, lowerbound=1296719.104511, norm of subgrad 35.383132	 stepsize= 1.000000 
-dualbound = 3658656.321201, lowerbound=1298011.321201, norm of subgrad 1139.860659	dualbound = 3658656.321201, lowerbound=1298011.321201, norm of subgrad 36.403526	 stepsize= 1.000000 
-dualbound = 3658732.759916, lowerbound=1290327.759916, norm of subgrad 1136.462388	dualbound = 3658732.759916, lowerbound=1290327.759916, norm of subgrad 35.992204	 stepsize= 1.000000 
-dualbound = 3658788.305010, lowerbound=1296443.305010, norm of subgrad 1139.134454	dualbound = 3658788.305010, lowerbound=1296443.305010, norm of subgrad 35.207174	 stepsize= 1.000000 
-dualbound = 3658872.609400, lowerbound=1293672.609400, norm of subgrad 1137.899648	dualbound = 3658872.609400, lowerbound=1293672.609400, norm of subgrad 35.032904	 stepsize= 1.000000 
-dualbound = 3658938.617022, lowerbound=1304041.617022, norm of subgrad 1142.480904	dualbound = 3658938.617022, lowerbound=1304041.617022, norm of subgrad 35.874888	 stepsize= 1.000000 
-dualbound = 3659010.067320, lowerbound=1290179.067320, norm of subgrad 1136.399167	dualbound = 3659010.067320, lowerbound=1290179.067320, norm of subgrad 35.992364	 stepsize= 1.000000 
-dualbound = 3659052.898020, lowerbound=1299834.898020, norm of subgrad 1140.644072	dualbound = 3659052.898020, lowerbound=1299834.898020, norm of subgrad 35.732768	 stepsize= 1.000000 
-dualbound = 3659133.850234, lowerbound=1292480.850234, norm of subgrad 1137.418503	dualbound = 3659133.850234, lowerbound=1292480.850234, norm of subgrad 36.344906	 stepsize= 1.000000 
-dualbound = 3659200.867495, lowerbound=1299704.867495, norm of subgrad 1140.625209	dualbound = 3659200.867495, lowerbound=1299704.867495, norm of subgrad 37.256104	 stepsize= 1.000000 
-dualbound = 3659237.169038, lowerbound=1291990.169038, norm of subgrad 1137.236198	dualbound = 3659237.169038, lowerbound=1291990.169038, norm of subgrad 36.773653	 stepsize= 1.000000 
-dualbound = 3659344.556735, lowerbound=1297905.556735, norm of subgrad 1139.806807	dualbound = 3659344.556735, lowerbound=1297905.556735, norm of subgrad 36.896988	 stepsize= 1.000000 
-dualbound = 3659398.428367, lowerbound=1294789.428367, norm of subgrad 1138.433761	dualbound = 3659398.428367, lowerbound=1294789.428367, norm of subgrad 35.998217	 stepsize= 1.000000 
-dualbound = 3659455.627692, lowerbound=1295623.627692, norm of subgrad 1138.822913	dualbound = 3659455.627692, lowerbound=1295623.627692, norm of subgrad 36.758663	 stepsize= 1.000000 
-dualbound = 3659510.001107, lowerbound=1292473.001107, norm of subgrad 1137.440109	dualbound = 3659510.001107, lowerbound=1292473.001107, norm of subgrad 36.761031	 stepsize= 1.000000 
-dualbound = 3659592.939141, lowerbound=1301853.939141, norm of subgrad 1141.543227	dualbound = 3659592.939141, lowerbound=1301853.939141, norm of subgrad 36.741503	 stepsize= 1.000000 
-dualbound = 3659649.763274, lowerbound=1287274.763274, norm of subgrad 1135.140856	dualbound = 3659649.763274, lowerbound=1287274.763274, norm of subgrad 36.425597	 stepsize= 1.000000 
-dualbound = 3659700.058751, lowerbound=1296976.058751, norm of subgrad 1139.402062	dualbound = 3659700.058751, lowerbound=1296976.058751, norm of subgrad 36.211814	 stepsize= 1.000000 
-dualbound = 3659798.958019, lowerbound=1292389.958019, norm of subgrad 1137.403604	dualbound = 3659798.958019, lowerbound=1292389.958019, norm of subgrad 37.361735	 stepsize= 1.000000 
-dualbound = 3659849.573321, lowerbound=1298940.573321, norm of subgrad 1140.243208	dualbound = 3659849.573321, lowerbound=1298940.573321, norm of subgrad 35.561430	 stepsize= 1.000000 
-dualbound = 3659933.664348, lowerbound=1291361.664348, norm of subgrad 1136.916296	dualbound = 3659933.664348, lowerbound=1291361.664348, norm of subgrad 36.070639	 stepsize= 1.000000 
-dualbound = 3659983.372176, lowerbound=1296204.372176, norm of subgrad 1139.044500	dualbound = 3659983.372176, lowerbound=1296204.372176, norm of subgrad 35.604885	 stepsize= 1.000000 
-dualbound = 3660077.084821, lowerbound=1295092.084821, norm of subgrad 1138.552627	dualbound = 3660077.084821, lowerbound=1295092.084821, norm of subgrad 36.106961	 stepsize= 1.000000 
-dualbound = 3660126.007017, lowerbound=1299159.007017, norm of subgrad 1140.356088	dualbound = 3660126.007017, lowerbound=1299159.007017, norm of subgrad 36.082159	 stepsize= 1.000000 
-dualbound = 3660191.168894, lowerbound=1291230.168894, norm of subgrad 1136.850548	dualbound = 3660191.168894, lowerbound=1291230.168894, norm of subgrad 35.555054	 stepsize= 1.000000 
-dualbound = 3660259.590424, lowerbound=1298370.590424, norm of subgrad 1139.964732	dualbound = 3660259.590424, lowerbound=1298370.590424, norm of subgrad 34.891568	 stepsize= 1.000000 
-dualbound = 3660345.328835, lowerbound=1289440.328835, norm of subgrad 1136.043278	dualbound = 3660345.328835, lowerbound=1289440.328835, norm of subgrad 35.209919	 stepsize= 1.000000 
-dualbound = 3660406.096175, lowerbound=1295232.096175, norm of subgrad 1138.602695	dualbound = 3660406.096175, lowerbound=1295232.096175, norm of subgrad 35.281260	 stepsize= 1.000000 
-dualbound = 3660451.525523, lowerbound=1293953.525523, norm of subgrad 1138.051636	dualbound = 3660451.525523, lowerbound=1293953.525523, norm of subgrad 35.403804	 stepsize= 1.000000 
-dualbound = 3660521.574481, lowerbound=1294821.574481, norm of subgrad 1138.432068	dualbound = 3660521.574481, lowerbound=1294821.574481, norm of subgrad 35.721827	 stepsize= 1.000000 
-dualbound = 3660590.503574, lowerbound=1297956.503574, norm of subgrad 1139.838367	dualbound = 3660590.503574, lowerbound=1297956.503574, norm of subgrad 36.659638	 stepsize= 1.000000 
-dualbound = 3660628.644613, lowerbound=1291574.644613, norm of subgrad 1137.027988	dualbound = 3660628.644613, lowerbound=1291574.644613, norm of subgrad 36.001959	 stepsize= 1.000000 
-dualbound = 3660702.726608, lowerbound=1298499.726608, norm of subgrad 1140.078386	dualbound = 3660702.726608, lowerbound=1298499.726608, norm of subgrad 36.784263	 stepsize= 1.000000 
-dualbound = 3660779.142226, lowerbound=1295828.142226, norm of subgrad 1138.863531	dualbound = 3660779.142226, lowerbound=1295828.142226, norm of subgrad 35.474154	 stepsize= 1.000000 
-dualbound = 3660863.916685, lowerbound=1294510.916685, norm of subgrad 1138.271021	dualbound = 3660863.916685, lowerbound=1294510.916685, norm of subgrad 35.139358	 stepsize= 1.000000 
-dualbound = 3660914.711947, lowerbound=1296901.711947, norm of subgrad 1139.364609	dualbound = 3660914.711947, lowerbound=1296901.711947, norm of subgrad 36.066539	 stepsize= 1.000000 
-dualbound = 3660980.994877, lowerbound=1291304.994877, norm of subgrad 1136.874661	dualbound = 3660980.994877, lowerbound=1291304.994877, norm of subgrad 35.288567	 stepsize= 1.000000 
-dualbound = 3661049.501769, lowerbound=1299229.501769, norm of subgrad 1140.386558	dualbound = 3661049.501769, lowerbound=1299229.501769, norm of subgrad 36.338779	 stepsize= 1.000000 
-dualbound = 3661118.712124, lowerbound=1288481.712124, norm of subgrad 1135.665757	dualbound = 3661118.712124, lowerbound=1288481.712124, norm of subgrad 36.389701	 stepsize= 1.000000 
-dualbound = 3661162.324118, lowerbound=1298687.324118, norm of subgrad 1140.140046	dualbound = 3661162.324118, lowerbound=1298687.324118, norm of subgrad 35.715711	 stepsize= 1.000000 
-dualbound = 3661249.530772, lowerbound=1292465.530772, norm of subgrad 1137.419681	dualbound = 3661249.530772, lowerbound=1292465.530772, norm of subgrad 36.677059	 stepsize= 1.000000 
-dualbound = 3661287.764506, lowerbound=1299867.764506, norm of subgrad 1140.683464	dualbound = 3661287.764506, lowerbound=1299867.764506, norm of subgrad 36.458658	 stepsize= 1.000000 
-dualbound = 3661351.451806, lowerbound=1289181.451806, norm of subgrad 1135.994917	dualbound = 3661351.451806, lowerbound=1289181.451806, norm of subgrad 36.968734	 stepsize= 1.000000 
-dualbound = 3661435.682476, lowerbound=1298460.682476, norm of subgrad 1140.039334	dualbound = 3661435.682476, lowerbound=1298460.682476, norm of subgrad 36.238525	 stepsize= 1.000000 
-dualbound = 3661515.296594, lowerbound=1293552.296594, norm of subgrad 1137.871828	dualbound = 3661515.296594, lowerbound=1293552.296594, norm of subgrad 35.771694	 stepsize= 1.000000 
-dualbound = 3661581.788210, lowerbound=1300515.788210, norm of subgrad 1140.904811	dualbound = 3661581.788210, lowerbound=1300515.788210, norm of subgrad 34.849557	 stepsize= 1.000000 
-dualbound = 3661656.323831, lowerbound=1289737.323831, norm of subgrad 1136.224592	dualbound = 3661656.323831, lowerbound=1289737.323831, norm of subgrad 36.654272	 stepsize= 1.000000 
-dualbound = 3661684.192975, lowerbound=1293494.192975, norm of subgrad 1137.881449	dualbound = 3661684.192975, lowerbound=1293494.192975, norm of subgrad 36.164474	 stepsize= 1.000000 
-dualbound = 3661752.078820, lowerbound=1294239.078820, norm of subgrad 1138.188947	dualbound = 3661752.078820, lowerbound=1294239.078820, norm of subgrad 36.095510	 stepsize= 1.000000 
-dualbound = 3661843.801427, lowerbound=1291972.801427, norm of subgrad 1137.177999	dualbound = 3661843.801427, lowerbound=1291972.801427, norm of subgrad 35.954452	 stepsize= 1.000000 
-dualbound = 3661912.640634, lowerbound=1299289.640634, norm of subgrad 1140.377850	dualbound = 3661912.640634, lowerbound=1299289.640634, norm of subgrad 35.225548	 stepsize= 1.000000 
-dualbound = 3661984.497682, lowerbound=1296636.497682, norm of subgrad 1139.261821	dualbound = 3661984.497682, lowerbound=1296636.497682, norm of subgrad 36.781205	 stepsize= 1.000000 
-dualbound = 3662000.693431, lowerbound=1289921.693431, norm of subgrad 1136.301762	dualbound = 3662000.693431, lowerbound=1289921.693431, norm of subgrad 35.723882	 stepsize= 1.000000 
-dualbound = 3662079.472806, lowerbound=1304176.472806, norm of subgrad 1142.560490	dualbound = 3662079.472806, lowerbound=1304176.472806, norm of subgrad 36.698493	 stepsize= 1.000000 
-dualbound = 3662154.232209, lowerbound=1291618.232209, norm of subgrad 1137.037481	dualbound = 3662154.232209, lowerbound=1291618.232209, norm of subgrad 36.204411	 stepsize= 1.000000 
-dualbound = 3662206.328547, lowerbound=1299494.328547, norm of subgrad 1140.529846	dualbound = 3662206.328547, lowerbound=1299494.328547, norm of subgrad 36.960740	 stepsize= 1.000000 
-dualbound = 3662278.934245, lowerbound=1296022.934245, norm of subgrad 1138.986802	dualbound = 3662278.934245, lowerbound=1296022.934245, norm of subgrad 36.614283	 stepsize= 1.000000 
-dualbound = 3662340.497544, lowerbound=1297322.497544, norm of subgrad 1139.534772	dualbound = 3662340.497544, lowerbound=1297322.497544, norm of subgrad 35.757003	 stepsize= 1.000000 
-dualbound = 3662441.905115, lowerbound=1297273.905115, norm of subgrad 1139.521788	dualbound = 3662441.905115, lowerbound=1297273.905115, norm of subgrad 36.570583	 stepsize= 1.000000 
-dualbound = 3662489.867616, lowerbound=1300393.867616, norm of subgrad 1140.871539	dualbound = 3662489.867616, lowerbound=1300393.867616, norm of subgrad 35.241488	 stepsize= 1.000000 
-dualbound = 3662582.119844, lowerbound=1296428.119844, norm of subgrad 1139.120766	dualbound = 3662582.119844, lowerbound=1296428.119844, norm of subgrad 35.500031	 stepsize= 1.000000 
-dualbound = 3662619.548632, lowerbound=1298346.548632, norm of subgrad 1139.986644	dualbound = 3662619.548632, lowerbound=1298346.548632, norm of subgrad 35.502518	 stepsize= 1.000000 
-dualbound = 3662691.328714, lowerbound=1295344.328714, norm of subgrad 1138.684034	dualbound = 3662691.328714, lowerbound=1295344.328714, norm of subgrad 36.452436	 stepsize= 1.000000 
-dualbound = 3662730.247413, lowerbound=1298173.247413, norm of subgrad 1139.933001	dualbound = 3662730.247413, lowerbound=1298173.247413, norm of subgrad 36.234220	 stepsize= 1.000000 
-dualbound = 3662819.909008, lowerbound=1290928.909008, norm of subgrad 1136.740036	dualbound = 3662819.909008, lowerbound=1290928.909008, norm of subgrad 36.587725	 stepsize= 1.000000 
-dualbound = 3662861.437315, lowerbound=1302487.437315, norm of subgrad 1141.793956	dualbound = 3662861.437315, lowerbound=1302487.437315, norm of subgrad 35.320367	 stepsize= 1.000000 
-dualbound = 3662963.543545, lowerbound=1294688.543545, norm of subgrad 1138.363977	dualbound = 3662963.543545, lowerbound=1294688.543545, norm of subgrad 35.862323	 stepsize= 1.000000 
-dualbound = 3662992.172939, lowerbound=1293999.172939, norm of subgrad 1138.098051	dualbound = 3662992.172939, lowerbound=1293999.172939, norm of subgrad 36.008741	 stepsize= 1.000000 
-dualbound = 3663045.259566, lowerbound=1300573.259566, norm of subgrad 1140.967247	dualbound = 3663045.259566, lowerbound=1300573.259566, norm of subgrad 35.862050	 stepsize= 1.000000 
-dualbound = 3663147.444497, lowerbound=1297245.444497, norm of subgrad 1139.503157	dualbound = 3663147.444497, lowerbound=1297245.444497, norm of subgrad 36.389352	 stepsize= 1.000000 
-dualbound = 3663183.953209, lowerbound=1290986.953209, norm of subgrad 1136.760728	dualbound = 3663183.953209, lowerbound=1290986.953209, norm of subgrad 35.700262	 stepsize= 1.000000 
-dualbound = 3663264.313061, lowerbound=1304199.313061, norm of subgrad 1142.556481	dualbound = 3663264.313061, lowerbound=1304199.313061, norm of subgrad 36.281674	 stepsize= 1.000000 
-dualbound = 3663314.248904, lowerbound=1291147.248904, norm of subgrad 1136.819356	dualbound = 3663314.248904, lowerbound=1291147.248904, norm of subgrad 35.509658	 stepsize= 1.000000 
-dualbound = 3663401.574974, lowerbound=1296715.574974, norm of subgrad 1139.272388	dualbound = 3663401.574974, lowerbound=1296715.574974, norm of subgrad 36.239841	 stepsize= 1.000000 
-dualbound = 3663469.923350, lowerbound=1293934.923350, norm of subgrad 1138.024131	dualbound = 3663469.923350, lowerbound=1293934.923350, norm of subgrad 35.104820	 stepsize= 1.000000 
-dualbound = 3663536.401079, lowerbound=1294966.401079, norm of subgrad 1138.476790	dualbound = 3663536.401079, lowerbound=1294966.401079, norm of subgrad 35.063909	 stepsize= 1.000000 
-dualbound = 3663615.808367, lowerbound=1287164.808367, norm of subgrad 1135.062909	dualbound = 3663615.808367, lowerbound=1287164.808367, norm of subgrad 35.810715	 stepsize= 1.000000 
-dualbound = 3663668.555105, lowerbound=1301735.555105, norm of subgrad 1141.449760	dualbound = 3663668.555105, lowerbound=1301735.555105, norm of subgrad 34.996382	 stepsize= 1.000000 
-dualbound = 3663743.051854, lowerbound=1292726.051854, norm of subgrad 1137.506067	dualbound = 3663743.051854, lowerbound=1292726.051854, norm of subgrad 35.615962	 stepsize= 1.000000 
-dualbound = 3663795.626432, lowerbound=1299866.626432, norm of subgrad 1140.656665	dualbound = 3663795.626432, lowerbound=1299866.626432, norm of subgrad 35.827009	 stepsize= 1.000000 
-dualbound = 3663854.454592, lowerbound=1299019.454592, norm of subgrad 1140.297529	dualbound = 3663854.454592, lowerbound=1299019.454592, norm of subgrad 36.301903	 stepsize= 1.000000 
-dualbound = 3663902.411174, lowerbound=1294309.411174, norm of subgrad 1138.211936	dualbound = 3663902.411174, lowerbound=1294309.411174, norm of subgrad 35.566228	 stepsize= 1.000000 
-dualbound = 3663997.250929, lowerbound=1294048.250929, norm of subgrad 1138.105993	dualbound = 3663997.250929, lowerbound=1294048.250929, norm of subgrad 36.494380	 stepsize= 1.000000 
-dualbound = 3664042.100513, lowerbound=1299579.100513, norm of subgrad 1140.557364	dualbound = 3664042.100513, lowerbound=1299579.100513, norm of subgrad 36.562954	 stepsize= 1.000000 
-dualbound = 3664117.876564, lowerbound=1292493.876564, norm of subgrad 1137.429944	dualbound = 3664117.876564, lowerbound=1292493.876564, norm of subgrad 36.452381	 stepsize= 1.000000 
-dualbound = 3664176.727110, lowerbound=1300482.727110, norm of subgrad 1140.950800	dualbound = 3664176.727110, lowerbound=1300482.727110, norm of subgrad 36.672204	 stepsize= 1.000000 
-dualbound = 3664237.451551, lowerbound=1290095.451551, norm of subgrad 1136.378657	dualbound = 3664237.451551, lowerbound=1290095.451551, norm of subgrad 36.355528	 stepsize= 1.000000 
-dualbound = 3664313.777874, lowerbound=1298085.777874, norm of subgrad 1139.891564	dualbound = 3664313.777874, lowerbound=1298085.777874, norm of subgrad 36.651416	 stepsize= 1.000000 
-dualbound = 3664365.600842, lowerbound=1296778.600842, norm of subgrad 1139.308387	dualbound = 3664365.600842, lowerbound=1296778.600842, norm of subgrad 36.011428	 stepsize= 1.000000 
-dualbound = 3664437.341048, lowerbound=1296414.341049, norm of subgrad 1139.127886	dualbound = 3664437.341048, lowerbound=1296414.341049, norm of subgrad 35.633414	 stepsize= 1.000000 
-dualbound = 3664520.713845, lowerbound=1289486.713845, norm of subgrad 1136.129268	dualbound = 3664520.713845, lowerbound=1289486.713845, norm of subgrad 37.234027	 stepsize= 1.000000 
-dualbound = 3664554.091180, lowerbound=1297044.091180, norm of subgrad 1139.433671	dualbound = 3664554.091180, lowerbound=1297044.091180, norm of subgrad 36.033003	 stepsize= 1.000000 
-dualbound = 3664620.941779, lowerbound=1295287.941779, norm of subgrad 1138.636879	dualbound = 3664620.941779, lowerbound=1295287.941779, norm of subgrad 35.677032	 stepsize= 1.000000 
-dualbound = 3664717.630178, lowerbound=1297780.630178, norm of subgrad 1139.698921	dualbound = 3664717.630178, lowerbound=1297780.630178, norm of subgrad 35.066913	 stepsize= 1.000000 
-dualbound = 3664777.062442, lowerbound=1291927.062442, norm of subgrad 1137.162285	dualbound = 3664777.062442, lowerbound=1291927.062442, norm of subgrad 35.643124	 stepsize= 1.000000 
-dualbound = 3664833.464029, lowerbound=1297473.464029, norm of subgrad 1139.601888	dualbound = 3664833.464029, lowerbound=1297473.464029, norm of subgrad 35.712765	 stepsize= 1.000000 
-dualbound = 3664885.773613, lowerbound=1295318.773613, norm of subgrad 1138.668860	dualbound = 3664885.773613, lowerbound=1295318.773613, norm of subgrad 36.059806	 stepsize= 1.000000 
-dualbound = 3664949.731937, lowerbound=1297646.731937, norm of subgrad 1139.696772	dualbound = 3664949.731937, lowerbound=1297646.731937, norm of subgrad 36.413711	 stepsize= 1.000000 
-dualbound = 3665030.840910, lowerbound=1288859.840910, norm of subgrad 1135.831784	dualbound = 3665030.840910, lowerbound=1288859.840910, norm of subgrad 36.539143	 stepsize= 1.000000 
-dualbound = 3665079.834346, lowerbound=1295903.834346, norm of subgrad 1138.943297	dualbound = 3665079.834346, lowerbound=1295903.834346, norm of subgrad 36.564921	 stepsize= 1.000000 
-dualbound = 3665142.491538, lowerbound=1292594.491538, norm of subgrad 1137.459226	dualbound = 3665142.491538, lowerbound=1292594.491538, norm of subgrad 35.800240	 stepsize= 1.000000 
-dualbound = 3665223.256006, lowerbound=1296889.256006, norm of subgrad 1139.338517	dualbound = 3665223.256006, lowerbound=1296889.256006, norm of subgrad 35.829659	 stepsize= 1.000000 
-dualbound = 3665292.589008, lowerbound=1291116.589008, norm of subgrad 1136.834900	dualbound = 3665292.589008, lowerbound=1291116.589008, norm of subgrad 36.692411	 stepsize= 1.000000 
-dualbound = 3665338.208018, lowerbound=1298161.208018, norm of subgrad 1139.926405	dualbound = 3665338.208018, lowerbound=1298161.208018, norm of subgrad 36.285245	 stepsize= 1.000000 
-dualbound = 3665397.483331, lowerbound=1294442.483331, norm of subgrad 1138.284008	dualbound = 3665397.483331, lowerbound=1294442.483331, norm of subgrad 36.156262	 stepsize= 1.000000 
-dualbound = 3665487.284906, lowerbound=1296501.284906, norm of subgrad 1139.194577	dualbound = 3665487.284906, lowerbound=1296501.284906, norm of subgrad 36.780451	 stepsize= 1.000000 
-dualbound = 3665526.115525, lowerbound=1295811.115525, norm of subgrad 1138.898202	dualbound = 3665526.115525, lowerbound=1295811.115525, norm of subgrad 36.288161	 stepsize= 1.000000 
-dualbound = 3665592.825986, lowerbound=1292762.825986, norm of subgrad 1137.547725	dualbound = 3665592.825986, lowerbound=1292762.825986, norm of subgrad 36.314053	 stepsize= 1.000000 
-dualbound = 3665654.485956, lowerbound=1292684.485956, norm of subgrad 1137.536147	dualbound = 3665654.485956, lowerbound=1292684.485956, norm of subgrad 36.954837	 stepsize= 1.000000 
-dualbound = 3665726.767161, lowerbound=1298297.767161, norm of subgrad 1139.999021	dualbound = 3665726.767161, lowerbound=1298297.767161, norm of subgrad 37.044314	 stepsize= 1.000000 
-dualbound = 3665776.201730, lowerbound=1298143.201730, norm of subgrad 1139.945263	dualbound = 3665776.201730, lowerbound=1298143.201730, norm of subgrad 37.167655	 stepsize= 1.000000 
-dualbound = 3665834.378992, lowerbound=1296769.378992, norm of subgrad 1139.323211	dualbound = 3665834.378992, lowerbound=1296769.378992, norm of subgrad 36.690288	 stepsize= 1.000000 
-dualbound = 3665919.460970, lowerbound=1293906.460970, norm of subgrad 1138.026125	dualbound = 3665919.460970, lowerbound=1293906.460970, norm of subgrad 35.806172	 stepsize= 1.000000 
-dualbound = 3666017.572310, lowerbound=1296955.572310, norm of subgrad 1139.399216	dualbound = 3666017.572310, lowerbound=1296955.572310, norm of subgrad 37.055517	 stepsize= 1.000000 
-dualbound = 3666038.170344, lowerbound=1293601.170344, norm of subgrad 1137.928456	dualbound = 3666038.170344, lowerbound=1293601.170344, norm of subgrad 36.063805	 stepsize= 1.000000 
-dualbound = 3666113.827079, lowerbound=1296000.827079, norm of subgrad 1138.934514	dualbound = 3666113.827079, lowerbound=1296000.827079, norm of subgrad 35.308026	 stepsize= 1.000000 
-dualbound = 3666197.894189, lowerbound=1296075.894189, norm of subgrad 1138.974492	dualbound = 3666197.894189, lowerbound=1296075.894189, norm of subgrad 35.652028	 stepsize= 1.000000 
-dualbound = 3666276.075705, lowerbound=1298019.075705, norm of subgrad 1139.829406	dualbound = 3666276.075705, lowerbound=1298019.075705, norm of subgrad 35.639606	 stepsize= 1.000000 
-dualbound = 3666325.246182, lowerbound=1293324.246182, norm of subgrad 1137.771614	dualbound = 3666325.246182, lowerbound=1293324.246182, norm of subgrad 35.343606	 stepsize= 1.000000 
-dualbound = 3666383.890082, lowerbound=1302164.890082, norm of subgrad 1141.682920	dualbound = 3666383.890082, lowerbound=1302164.890082, norm of subgrad 36.519090	 stepsize= 1.000000 
-dualbound = 3666416.370157, lowerbound=1291454.370157, norm of subgrad 1136.992247	dualbound = 3666416.370157, lowerbound=1291454.370157, norm of subgrad 36.462036	 stepsize= 1.000000 
-dualbound = 3666503.713278, lowerbound=1301665.713278, norm of subgrad 1141.434498	dualbound = 3666503.713278, lowerbound=1301665.713278, norm of subgrad 35.976980	 stepsize= 1.000000 
-dualbound = 3666598.870453, lowerbound=1298871.870453, norm of subgrad 1140.209573	dualbound = 3666598.870453, lowerbound=1298871.870453, norm of subgrad 36.071556	 stepsize= 1.000000 
-dualbound = 3666656.427998, lowerbound=1299315.427998, norm of subgrad 1140.447907	dualbound = 3666656.427998, lowerbound=1299315.427998, norm of subgrad 36.926380	 stepsize= 1.000000 
-dualbound = 3666692.337372, lowerbound=1297448.337372, norm of subgrad 1139.595690	dualbound = 3666692.337372, lowerbound=1297448.337372, norm of subgrad 35.579620	 stepsize= 1.000000 
-dualbound = 3666766.856741, lowerbound=1294388.856741, norm of subgrad 1138.239806	dualbound = 3666766.856741, lowerbound=1294388.856741, norm of subgrad 35.714414	 stepsize= 1.000000 
-dualbound = 3666847.786402, lowerbound=1295828.786402, norm of subgrad 1138.898936	dualbound = 3666847.786402, lowerbound=1295828.786402, norm of subgrad 36.646005	 stepsize= 1.000000 
-dualbound = 3666912.657287, lowerbound=1298078.657287, norm of subgrad 1139.871772	dualbound = 3666912.657287, lowerbound=1298078.657287, norm of subgrad 35.970417	 stepsize= 1.000000 
-dualbound = 3666954.566448, lowerbound=1290213.566448, norm of subgrad 1136.437665	dualbound = 3666954.566448, lowerbound=1290213.566448, norm of subgrad 36.316789	 stepsize= 1.000000 
-dualbound = 3667031.485377, lowerbound=1304293.485377, norm of subgrad 1142.604256	dualbound = 3667031.485377, lowerbound=1304293.485377, norm of subgrad 36.440622	 stepsize= 1.000000 
-dualbound = 3667090.589390, lowerbound=1297370.589390, norm of subgrad 1139.563333	dualbound = 3667090.589390, lowerbound=1297370.589390, norm of subgrad 35.959755	 stepsize= 1.000000 
-dualbound = 3667188.605840, lowerbound=1295691.605840, norm of subgrad 1138.807976	dualbound = 3667188.605840, lowerbound=1295691.605840, norm of subgrad 35.916799	 stepsize= 1.000000 
-dualbound = 3667212.562893, lowerbound=1297747.562893, norm of subgrad 1139.761187	dualbound = 3667212.562893, lowerbound=1297747.562893, norm of subgrad 36.495987	 stepsize= 1.000000 
-dualbound = 3667311.943647, lowerbound=1298186.943647, norm of subgrad 1139.928043	dualbound = 3667311.943647, lowerbound=1298186.943647, norm of subgrad 36.720304	 stepsize= 1.000000 
-dualbound = 3667325.484282, lowerbound=1299323.484282, norm of subgrad 1140.426887	dualbound = 3667325.484282, lowerbound=1299323.484282, norm of subgrad 35.546317	 stepsize= 1.000000 
-dualbound = 3667435.277414, lowerbound=1297304.277414, norm of subgrad 1139.529411	dualbound = 3667435.277414, lowerbound=1297304.277414, norm of subgrad 36.507439	 stepsize= 1.000000 
-dualbound = 3667489.496533, lowerbound=1290363.496533, norm of subgrad 1136.477231	dualbound = 3667489.496533, lowerbound=1290363.496533, norm of subgrad 35.654160	 stepsize= 1.000000 
-dualbound = 3667572.732747, lowerbound=1298850.732747, norm of subgrad 1140.202058	dualbound = 3667572.732747, lowerbound=1298850.732747, norm of subgrad 35.961594	 stepsize= 1.000000 
-dualbound = 3667619.018133, lowerbound=1297899.018133, norm of subgrad 1139.792094	dualbound = 3667619.018133, lowerbound=1297899.018133, norm of subgrad 35.683125	 stepsize= 1.000000 
-dualbound = 3667689.921517, lowerbound=1299140.921517, norm of subgrad 1140.321850	dualbound = 3667689.921517, lowerbound=1299140.921517, norm of subgrad 35.551419	 stepsize= 1.000000 
-dualbound = 3667782.949510, lowerbound=1294035.949510, norm of subgrad 1138.089166	dualbound = 3667782.949510, lowerbound=1294035.949510, norm of subgrad 36.111328	 stepsize= 1.000000 
-dualbound = 3667816.949100, lowerbound=1299875.949100, norm of subgrad 1140.694941	dualbound = 3667816.949100, lowerbound=1299875.949100, norm of subgrad 36.646959	 stepsize= 1.000000 
-dualbound = 3667853.906984, lowerbound=1296725.906984, norm of subgrad 1139.280873	dualbound = 3667853.906984, lowerbound=1296725.906984, norm of subgrad 35.664519	 stepsize= 1.000000 
-dualbound = 3667965.660837, lowerbound=1294335.660837, norm of subgrad 1138.243234	dualbound = 3667965.660837, lowerbound=1294335.660837, norm of subgrad 37.064186	 stepsize= 1.000000 
-dualbound = 3668006.686422, lowerbound=1299493.686422, norm of subgrad 1140.501945	dualbound = 3668006.686422, lowerbound=1299493.686422, norm of subgrad 35.944757	 stepsize= 1.000000 
-dualbound = 3668068.728423, lowerbound=1290095.728423, norm of subgrad 1136.359859	dualbound = 3668068.728423, lowerbound=1290095.728423, norm of subgrad 35.777675	 stepsize= 1.000000 
-dualbound = 3668159.044127, lowerbound=1293021.044127, norm of subgrad 1137.639242	dualbound = 3668159.044127, lowerbound=1293021.044127, norm of subgrad 35.948793	 stepsize= 1.000000 
-dualbound = 3668231.038117, lowerbound=1300201.038117, norm of subgrad 1140.807187	dualbound = 3668231.038117, lowerbound=1300201.038117, norm of subgrad 36.221458	 stepsize= 1.000000 
-dualbound = 3668274.011696, lowerbound=1294973.011696, norm of subgrad 1138.505605	dualbound = 3668274.011696, lowerbound=1294973.011696, norm of subgrad 35.566467	 stepsize= 1.000000 
-dualbound = 3668339.327950, lowerbound=1293698.327950, norm of subgrad 1137.918858	dualbound = 3668339.327950, lowerbound=1293698.327950, norm of subgrad 35.018799	 stepsize= 1.000000 
-dualbound = 3668424.504114, lowerbound=1292893.504114, norm of subgrad 1137.583625	dualbound = 3668424.504114, lowerbound=1292893.504114, norm of subgrad 35.891171	 stepsize= 1.000000 
-dualbound = 3668481.597832, lowerbound=1298999.597832, norm of subgrad 1140.291453	dualbound = 3668481.597832, lowerbound=1298999.597832, norm of subgrad 36.360607	 stepsize= 1.000000 
-dualbound = 3668514.761295, lowerbound=1295811.761295, norm of subgrad 1138.898486	dualbound = 3668514.761295, lowerbound=1295811.761295, norm of subgrad 36.209991	 stepsize= 1.000000 
-dualbound = 3668603.039531, lowerbound=1296305.039531, norm of subgrad 1139.107124	dualbound = 3668603.039531, lowerbound=1296305.039531, norm of subgrad 36.718908	 stepsize= 1.000000 
-dualbound = 3668656.659070, lowerbound=1295923.659070, norm of subgrad 1138.940147	dualbound = 3668656.659070, lowerbound=1295923.659070, norm of subgrad 36.257682	 stepsize= 1.000000 
-dualbound = 3668728.384392, lowerbound=1298808.384392, norm of subgrad 1140.215938	dualbound = 3668728.384392, lowerbound=1298808.384392, norm of subgrad 36.820175	 stepsize= 1.000000 
-dualbound = 3668777.023790, lowerbound=1294944.023790, norm of subgrad 1138.512197	dualbound = 3668777.023790, lowerbound=1294944.023790, norm of subgrad 36.257956	 stepsize= 1.000000 
-dualbound = 3668849.148326, lowerbound=1299397.148326, norm of subgrad 1140.467513	dualbound = 3668849.148326, lowerbound=1299397.148326, norm of subgrad 36.621367	 stepsize= 1.000000 
-dualbound = 3668929.983599, lowerbound=1295089.983599, norm of subgrad 1138.550826	dualbound = 3668929.983599, lowerbound=1295089.983599, norm of subgrad 35.900352	 stepsize= 1.000000 
-dualbound = 3668995.061880, lowerbound=1301343.061880, norm of subgrad 1141.278258	dualbound = 3668995.061880, lowerbound=1301343.061880, norm of subgrad 35.186337	 stepsize= 1.000000 
-dualbound = 3669058.423980, lowerbound=1296537.423980, norm of subgrad 1139.189371	dualbound = 3669058.423980, lowerbound=1296537.423980, norm of subgrad 35.754190	 stepsize= 1.000000 
-dualbound = 3669122.229842, lowerbound=1295720.229842, norm of subgrad 1138.838983	dualbound = 3669122.229842, lowerbound=1295720.229842, norm of subgrad 36.025073	 stepsize= 1.000000 
-dualbound = 3669168.157269, lowerbound=1296368.157269, norm of subgrad 1139.122538	dualbound = 3669168.157269, lowerbound=1296368.157269, norm of subgrad 35.748111	 stepsize= 1.000000 
-dualbound = 3669237.157510, lowerbound=1294182.157510, norm of subgrad 1138.161306	dualbound = 3669237.157510, lowerbound=1294182.157510, norm of subgrad 36.027770	 stepsize= 1.000000 
-dualbound = 3669319.609515, lowerbound=1296708.609515, norm of subgrad 1139.267137	dualbound = 3669319.609515, lowerbound=1296708.609515, norm of subgrad 36.103352	 stepsize= 1.000000 
-dualbound = 3669376.345221, lowerbound=1298456.345221, norm of subgrad 1140.048396	dualbound = 3669376.345221, lowerbound=1298456.345221, norm of subgrad 36.204084	 stepsize= 1.000000 
-dualbound = 3669433.881814, lowerbound=1294646.881814, norm of subgrad 1138.386086	dualbound = 3669433.881814, lowerbound=1294646.881814, norm of subgrad 36.517620	 stepsize= 1.000000 
-dualbound = 3669500.688315, lowerbound=1296896.688315, norm of subgrad 1139.357138	dualbound = 3669500.688315, lowerbound=1296896.688315, norm of subgrad 36.122105	 stepsize= 1.000000 
-dualbound = 3669566.899278, lowerbound=1292119.899278, norm of subgrad 1137.246191	dualbound = 3669566.899278, lowerbound=1292119.899278, norm of subgrad 35.710096	 stepsize= 1.000000 
-dualbound = 3669643.404920, lowerbound=1295934.404920, norm of subgrad 1138.925109	dualbound = 3669643.404920, lowerbound=1295934.404920, norm of subgrad 35.951434	 stepsize= 1.000000 
-dualbound = 3669717.849455, lowerbound=1295007.849455, norm of subgrad 1138.517830	dualbound = 3669717.849455, lowerbound=1295007.849455, norm of subgrad 35.908836	 stepsize= 1.000000 
-dualbound = 3669757.202120, lowerbound=1296255.202120, norm of subgrad 1139.079542	dualbound = 3669757.202120, lowerbound=1296255.202120, norm of subgrad 35.865759	 stepsize= 1.000000 
-dualbound = 3669824.169094, lowerbound=1293614.169094, norm of subgrad 1137.920546	dualbound = 3669824.169094, lowerbound=1293614.169094, norm of subgrad 36.276259	 stepsize= 1.000000 
-dualbound = 3669897.354810, lowerbound=1295665.354810, norm of subgrad 1138.811378	dualbound = 3669897.354810, lowerbound=1295665.354810, norm of subgrad 36.044219	 stepsize= 1.000000 
-dualbound = 3669940.737407, lowerbound=1294142.737407, norm of subgrad 1138.142231	dualbound = 3669940.737407, lowerbound=1294142.737407, norm of subgrad 35.614359	 stepsize= 1.000000 
-dualbound = 3670019.940325, lowerbound=1300795.940325, norm of subgrad 1141.086737	dualbound = 3670019.940325, lowerbound=1300795.940325, norm of subgrad 36.908033	 stepsize= 1.000000 
-dualbound = 3670066.735755, lowerbound=1295388.735755, norm of subgrad 1138.700898	dualbound = 3670066.735755, lowerbound=1295388.735755, norm of subgrad 36.024928	 stepsize= 1.000000 
-dualbound = 3670147.887721, lowerbound=1299229.887721, norm of subgrad 1140.381904	dualbound = 3670147.887721, lowerbound=1299229.887721, norm of subgrad 36.361408	 stepsize= 1.000000 
-dualbound = 3670222.868383, lowerbound=1293399.868383, norm of subgrad 1137.824621	dualbound = 3670222.868383, lowerbound=1293399.868383, norm of subgrad 36.331538	 stepsize= 1.000000 
-dualbound = 3670299.722331, lowerbound=1301466.722331, norm of subgrad 1141.381497	dualbound = 3670299.722331, lowerbound=1301466.722331, norm of subgrad 36.903305	 stepsize= 1.000000 
-dualbound = 3670333.266305, lowerbound=1296861.266305, norm of subgrad 1139.362658	dualbound = 3670333.266305, lowerbound=1296861.266305, norm of subgrad 36.325528	 stepsize= 1.000000 
-dualbound = 3670396.081640, lowerbound=1300705.081640, norm of subgrad 1141.055249	dualbound = 3670396.081640, lowerbound=1300705.081640, norm of subgrad 36.943407	 stepsize= 1.000000 
-dualbound = 3670463.172136, lowerbound=1298065.172136, norm of subgrad 1139.889982	dualbound = 3670463.172136, lowerbound=1298065.172136, norm of subgrad 36.757183	 stepsize= 1.000000 
-dualbound = 3670532.931136, lowerbound=1301988.931136, norm of subgrad 1141.589213	dualbound = 3670532.931136, lowerbound=1301988.931136, norm of subgrad 36.149122	 stepsize= 1.000000 
-dualbound = 3670597.572090, lowerbound=1291049.572090, norm of subgrad 1136.792669	dualbound = 3670597.572090, lowerbound=1291049.572090, norm of subgrad 36.230387	 stepsize= 1.000000 
-dualbound = 3670656.461279, lowerbound=1299436.461279, norm of subgrad 1140.474226	dualbound = 3670656.461279, lowerbound=1299436.461279, norm of subgrad 36.109406	 stepsize= 1.000000 
-dualbound = 3670719.315268, lowerbound=1294500.315268, norm of subgrad 1138.319074	dualbound = 3670719.315268, lowerbound=1294500.315268, norm of subgrad 36.508273	 stepsize= 1.000000 
-dualbound = 3670800.188342, lowerbound=1298866.188342, norm of subgrad 1140.204889	dualbound = 3670800.188342, lowerbound=1298866.188342, norm of subgrad 35.803255	 stepsize= 1.000000 
-dualbound = 3670848.935413, lowerbound=1293701.935413, norm of subgrad 1137.949004	dualbound = 3670848.935413, lowerbound=1293701.935413, norm of subgrad 35.703600	 stepsize= 1.000000 
-dualbound = 3670940.590136, lowerbound=1298395.590136, norm of subgrad 1140.011224	dualbound = 3670940.590136, lowerbound=1298395.590136, norm of subgrad 36.354569	 stepsize= 1.000000 
-dualbound = 3670994.683711, lowerbound=1293178.683711, norm of subgrad 1137.730497	dualbound = 3670994.683711, lowerbound=1293178.683711, norm of subgrad 36.139917	 stepsize= 1.000000 
-dualbound = 3671065.445427, lowerbound=1294712.445427, norm of subgrad 1138.401267	dualbound = 3671065.445427, lowerbound=1294712.445427, norm of subgrad 36.273430	 stepsize= 1.000000 
-dualbound = 3671114.242219, lowerbound=1293054.242219, norm of subgrad 1137.700418	dualbound = 3671114.242219, lowerbound=1293054.242219, norm of subgrad 36.834723	 stepsize= 1.000000 
-dualbound = 3671182.379206, lowerbound=1301980.379206, norm of subgrad 1141.583715	dualbound = 3671182.379206, lowerbound=1301980.379206, norm of subgrad 36.071276	 stepsize= 1.000000 
-dualbound = 3671248.640916, lowerbound=1297058.640916, norm of subgrad 1139.445322	dualbound = 3671248.640916, lowerbound=1297058.640916, norm of subgrad 36.650535	 stepsize= 1.000000 
-dualbound = 3671327.107087, lowerbound=1297186.107087, norm of subgrad 1139.483263	dualbound = 3671327.107087, lowerbound=1297186.107087, norm of subgrad 36.255567	 stepsize= 1.000000 
-dualbound = 3671379.234514, lowerbound=1300945.234514, norm of subgrad 1141.135940	dualbound = 3671379.234514, lowerbound=1300945.234514, norm of subgrad 36.029535	 stepsize= 1.000000 
-dualbound = 3671459.513382, lowerbound=1294936.513382, norm of subgrad 1138.482549	dualbound = 3671459.513382, lowerbound=1294936.513382, norm of subgrad 35.864730	 stepsize= 1.000000 
-dualbound = 3671517.934118, lowerbound=1297497.934118, norm of subgrad 1139.573576	dualbound = 3671517.934118, lowerbound=1297497.934118, norm of subgrad 34.473479	 stepsize= 1.000000 
-dualbound = 3671609.412790, lowerbound=1295422.412790, norm of subgrad 1138.712612	dualbound = 3671609.412790, lowerbound=1295422.412790, norm of subgrad 36.544202	 stepsize= 1.000000 
-dualbound = 3671639.657668, lowerbound=1298221.657668, norm of subgrad 1139.969148	dualbound = 3671639.657668, lowerbound=1298221.657668, norm of subgrad 36.582029	 stepsize= 1.000000 
-dualbound = 3671702.222442, lowerbound=1296710.222442, norm of subgrad 1139.271795	dualbound = 3671702.222442, lowerbound=1296710.222442, norm of subgrad 35.952257	 stepsize= 1.000000 
-dualbound = 3671761.805975, lowerbound=1297146.805975, norm of subgrad 1139.459875	dualbound = 3671761.805975, lowerbound=1297146.805975, norm of subgrad 35.799211	 stepsize= 1.000000 
-dualbound = 3671837.827540, lowerbound=1299645.827540, norm of subgrad 1140.554176	dualbound = 3671837.827540, lowerbound=1299645.827540, norm of subgrad 35.972511	 stepsize= 1.000000 
-dualbound = 3671900.039983, lowerbound=1292953.039983, norm of subgrad 1137.615506	dualbound = 3671900.039983, lowerbound=1292953.039983, norm of subgrad 35.752097	 stepsize= 1.000000 
-dualbound = 3671983.938390, lowerbound=1295756.938390, norm of subgrad 1138.844124	dualbound = 3671983.938390, lowerbound=1295756.938390, norm of subgrad 35.956897	 stepsize= 1.000000 
-dualbound = 3672024.060726, lowerbound=1298224.060726, norm of subgrad 1139.938621	dualbound = 3672024.060726, lowerbound=1298224.060726, norm of subgrad 35.722855	 stepsize= 1.000000 
-dualbound = 3672095.033372, lowerbound=1299803.033372, norm of subgrad 1140.632295	dualbound = 3672095.033372, lowerbound=1299803.033372, norm of subgrad 36.193544	 stepsize= 1.000000 
-dualbound = 3672133.129906, lowerbound=1300305.129906, norm of subgrad 1140.870339	dualbound = 3672133.129906, lowerbound=1300305.129906, norm of subgrad 36.305599	 stepsize= 1.000000 
-dualbound = 3672223.291510, lowerbound=1299406.291510, norm of subgrad 1140.455739	dualbound = 3672223.291510, lowerbound=1299406.291510, norm of subgrad 36.375288	 stepsize= 1.000000 
-dualbound = 3672277.631036, lowerbound=1298051.631036, norm of subgrad 1139.843687	dualbound = 3672277.631036, lowerbound=1298051.631036, norm of subgrad 35.303534	 stepsize= 1.000000 
-dualbound = 3672367.840727, lowerbound=1293519.840727, norm of subgrad 1137.857127	dualbound = 3672367.840727, lowerbound=1293519.840727, norm of subgrad 35.905566	 stepsize= 1.000000 
-dualbound = 3672405.908261, lowerbound=1296910.908261, norm of subgrad 1139.379616	dualbound = 3672405.908261, lowerbound=1296910.908261, norm of subgrad 36.236274	 stepsize= 1.000000 
-dualbound = 3672473.524163, lowerbound=1297842.524163, norm of subgrad 1139.763802	dualbound = 3672473.524163, lowerbound=1297842.524163, norm of subgrad 35.869429	 stepsize= 1.000000 
-dualbound = 3672535.413875, lowerbound=1297027.413875, norm of subgrad 1139.419771	dualbound = 3672535.413875, lowerbound=1297027.413875, norm of subgrad 36.220018	 stepsize= 1.000000 
-dualbound = 3672593.425690, lowerbound=1290397.425690, norm of subgrad 1136.526914	dualbound = 3672593.425690, lowerbound=1290397.425690, norm of subgrad 36.796900	 stepsize= 1.000000 
-dualbound = 3672652.699482, lowerbound=1300287.699482, norm of subgrad 1140.856126	dualbound = 3672652.699482, lowerbound=1300287.699482, norm of subgrad 36.390573	 stepsize= 1.000000 
-dualbound = 3672744.122456, lowerbound=1292996.122456, norm of subgrad 1137.622575	dualbound = 3672744.122456, lowerbound=1292996.122456, norm of subgrad 35.782998	 stepsize= 1.000000 
-dualbound = 3672807.583442, lowerbound=1297239.583442, norm of subgrad 1139.526035	dualbound = 3672807.583442, lowerbound=1297239.583442, norm of subgrad 36.653253	 stepsize= 1.000000 
-dualbound = 3672858.331694, lowerbound=1298085.331694, norm of subgrad 1139.883473	dualbound = 3672858.331694, lowerbound=1298085.331694, norm of subgrad 36.052021	 stepsize= 1.000000 
-dualbound = 3672914.262260, lowerbound=1291452.262260, norm of subgrad 1136.972850	dualbound = 3672914.262260, lowerbound=1291452.262260, norm of subgrad 36.206775	 stepsize= 1.000000 
-dualbound = 3672990.408799, lowerbound=1304956.408799, norm of subgrad 1142.896062	dualbound = 3672990.408799, lowerbound=1304956.408799, norm of subgrad 36.484881	 stepsize= 1.000000 
-dualbound = 3673042.367485, lowerbound=1292864.367485, norm of subgrad 1137.587521	dualbound = 3673042.367485, lowerbound=1292864.367485, norm of subgrad 35.957735	 stepsize= 1.000000 
-dualbound = 3673100.509725, lowerbound=1300143.509725, norm of subgrad 1140.793369	dualbound = 3673100.509725, lowerbound=1300143.509725, norm of subgrad 36.388765	 stepsize= 1.000000 
-dualbound = 3673169.745497, lowerbound=1289446.745497, norm of subgrad 1136.073829	dualbound = 3673169.745497, lowerbound=1289446.745497, norm of subgrad 35.864129	 stepsize= 1.000000 
-dualbound = 3673254.418834, lowerbound=1301734.418834, norm of subgrad 1141.465908	dualbound = 3673254.418834, lowerbound=1301734.418834, norm of subgrad 35.981569	 stepsize= 1.000000 
-dualbound = 3673318.970322, lowerbound=1294098.970322, norm of subgrad 1138.149362	dualbound = 3673318.970322, lowerbound=1294098.970322, norm of subgrad 36.736242	 stepsize= 1.000000 
-dualbound = 3673375.539590, lowerbound=1297604.539590, norm of subgrad 1139.651938	dualbound = 3673375.539590, lowerbound=1297604.539590, norm of subgrad 35.476320	 stepsize= 1.000000 
-dualbound = 3673450.973310, lowerbound=1294457.973310, norm of subgrad 1138.291252	dualbound = 3673450.973310, lowerbound=1294457.973310, norm of subgrad 36.392770	 stepsize= 1.000000 
-dualbound = 3673514.811993, lowerbound=1297742.811993, norm of subgrad 1139.707775	dualbound = 3673514.811993, lowerbound=1297742.811993, norm of subgrad 35.423702	 stepsize= 1.000000 
-dualbound = 3673566.511726, lowerbound=1300398.511726, norm of subgrad 1140.874012	dualbound = 3673566.511726, lowerbound=1300398.511726, norm of subgrad 35.308635	 stepsize= 1.000000 
-dualbound = 3673655.968187, lowerbound=1295125.968187, norm of subgrad 1138.586390	dualbound = 3673655.968187, lowerbound=1295125.968187, norm of subgrad 36.639548	 stepsize= 1.000000 
-dualbound = 3673668.619503, lowerbound=1298689.619503, norm of subgrad 1140.156401	dualbound = 3673668.619503, lowerbound=1298689.619503, norm of subgrad 35.772214	 stepsize= 1.000000 
-dualbound = 3673755.633237, lowerbound=1295166.633237, norm of subgrad 1138.636304	dualbound = 3673755.633237, lowerbound=1295166.633237, norm of subgrad 37.590075	 stepsize= 1.000000 
-dualbound = 3673798.318284, lowerbound=1299458.318284, norm of subgrad 1140.472410	dualbound = 3673798.318284, lowerbound=1299458.318284, norm of subgrad 35.520206	 stepsize= 1.000000 
-dualbound = 3673916.377382, lowerbound=1296047.377382, norm of subgrad 1138.965486	dualbound = 3673916.377382, lowerbound=1296047.377382, norm of subgrad 36.236157	 stepsize= 1.000000 
-dualbound = 3673985.147131, lowerbound=1300598.147131, norm of subgrad 1140.952298	dualbound = 3673985.147131, lowerbound=1300598.147131, norm of subgrad 35.252940	 stepsize= 1.000000 
-dualbound = 3674046.397987, lowerbound=1297254.397987, norm of subgrad 1139.521565	dualbound = 3674046.397987, lowerbound=1297254.397987, norm of subgrad 36.280172	 stepsize= 1.000000 
-dualbound = 3674066.463986, lowerbound=1296860.463986, norm of subgrad 1139.357040	dualbound = 3674066.463986, lowerbound=1296860.463986, norm of subgrad 35.973129	 stepsize= 1.000000 
-dualbound = 3674170.010685, lowerbound=1298920.010685, norm of subgrad 1140.255239	dualbound = 3674170.010685, lowerbound=1298920.010685, norm of subgrad 36.953304	 stepsize= 1.000000 
-dualbound = 3674207.697038, lowerbound=1300638.697038, norm of subgrad 1140.998991	dualbound = 3674207.697038, lowerbound=1300638.697038, norm of subgrad 35.744739	 stepsize= 1.000000 
-dualbound = 3674295.555536, lowerbound=1300995.555536, norm of subgrad 1141.165876	dualbound = 3674295.555536, lowerbound=1300995.555536, norm of subgrad 36.767628	 stepsize= 1.000000 
-dualbound = 3674349.771643, lowerbound=1297331.771643, norm of subgrad 1139.527433	dualbound = 3674349.771643, lowerbound=1297331.771643, norm of subgrad 35.287620	 stepsize= 1.000000 
-dualbound = 3674413.646429, lowerbound=1298681.646429, norm of subgrad 1140.162114	dualbound = 3674413.646429, lowerbound=1298681.646429, norm of subgrad 36.767850	 stepsize= 1.000000 
-dualbound = 3674474.606561, lowerbound=1289188.606561, norm of subgrad 1135.938646	dualbound = 3674474.606561, lowerbound=1289188.606561, norm of subgrad 35.056528	 stepsize= 1.000000 
-dualbound = 3674569.975124, lowerbound=1299753.975124, norm of subgrad 1140.577036	dualbound = 3674569.975124, lowerbound=1299753.975124, norm of subgrad 35.459393	 stepsize= 1.000000 
-dualbound = 3674614.450750, lowerbound=1293239.450750, norm of subgrad 1137.762915	dualbound = 3674614.450750, lowerbound=1293239.450750, norm of subgrad 36.186677	 stepsize= 1.000000 
-dualbound = 3674669.627301, lowerbound=1296891.627301, norm of subgrad 1139.353162	dualbound = 3674669.627301, lowerbound=1296891.627301, norm of subgrad 35.905105	 stepsize= 1.000000 
-dualbound = 3674735.105916, lowerbound=1296338.105916, norm of subgrad 1139.099252	dualbound = 3674735.105916, lowerbound=1296338.105916, norm of subgrad 35.699841	 stepsize= 1.000000 
-dualbound = 3674816.332189, lowerbound=1302453.332189, norm of subgrad 1141.778583	dualbound = 3674816.332189, lowerbound=1302453.332189, norm of subgrad 35.863997	 stepsize= 1.000000 
-dualbound = 3674889.617333, lowerbound=1293003.617333, norm of subgrad 1137.630264	dualbound = 3674889.617333, lowerbound=1293003.617333, norm of subgrad 35.669106	 stepsize= 1.000000 
-dualbound = 3674945.488435, lowerbound=1293556.488435, norm of subgrad 1137.894322	dualbound = 3674945.488435, lowerbound=1293556.488435, norm of subgrad 36.095306	 stepsize= 1.000000 
-dualbound = 3674994.109943, lowerbound=1294259.109943, norm of subgrad 1138.188082	dualbound = 3674994.109943, lowerbound=1294259.109943, norm of subgrad 35.519312	 stepsize= 1.000000 
-dualbound = 3675064.250178, lowerbound=1297536.250178, norm of subgrad 1139.639965	dualbound = 3675064.250178, lowerbound=1297536.250178, norm of subgrad 36.237277	 stepsize= 1.000000 
-dualbound = 3675111.382563, lowerbound=1296878.382563, norm of subgrad 1139.349982	dualbound = 3675111.382563, lowerbound=1296878.382563, norm of subgrad 35.876627	 stepsize= 1.000000 
-dualbound = 3675208.587866, lowerbound=1298965.587866, norm of subgrad 1140.248476	dualbound = 3675208.587866, lowerbound=1298965.587866, norm of subgrad 36.030616	 stepsize= 1.000000 
-dualbound = 3675272.919272, lowerbound=1294242.919272, norm of subgrad 1138.197663	dualbound = 3675272.919272, lowerbound=1294242.919272, norm of subgrad 36.267498	 stepsize= 1.000000 
-dualbound = 3675316.502929, lowerbound=1297842.502929, norm of subgrad 1139.780024	dualbound = 3675316.502929, lowerbound=1297842.502929, norm of subgrad 36.049739	 stepsize= 1.000000 
-dualbound = 3675393.842388, lowerbound=1295642.842388, norm of subgrad 1138.788761	dualbound = 3675393.842388, lowerbound=1295642.842388, norm of subgrad 35.697892	 stepsize= 1.000000 
-dualbound = 3675468.310937, lowerbound=1291844.310937, norm of subgrad 1137.127658	dualbound = 3675468.310937, lowerbound=1291844.310937, norm of subgrad 35.909171	 stepsize= 1.000000 
-dualbound = 3675516.413539, lowerbound=1300017.413539, norm of subgrad 1140.751688	dualbound = 3675516.413539, lowerbound=1300017.413539, norm of subgrad 36.675640	 stepsize= 1.000000 
-dualbound = 3675587.208880, lowerbound=1294177.208880, norm of subgrad 1138.145952	dualbound = 3675587.208880, lowerbound=1294177.208880, norm of subgrad 35.634188	 stepsize= 1.000000 
-dualbound = 3675668.584624, lowerbound=1297814.584624, norm of subgrad 1139.780498	dualbound = 3675668.584624, lowerbound=1297814.584624, norm of subgrad 36.964520	 stepsize= 1.000000 
-dualbound = 3675728.353058, lowerbound=1298416.353058, norm of subgrad 1140.029102	dualbound = 3675728.353058, lowerbound=1298416.353058, norm of subgrad 36.190723	 stepsize= 1.000000 
-dualbound = 3675801.213307, lowerbound=1296303.213307, norm of subgrad 1139.089642	dualbound = 3675801.213307, lowerbound=1296303.213307, norm of subgrad 35.984167	 stepsize= 1.000000 
-dualbound = 3675855.230108, lowerbound=1292983.230108, norm of subgrad 1137.640202	dualbound = 3675855.230108, lowerbound=1292983.230108, norm of subgrad 36.000233	 stepsize= 1.000000 
-dualbound = 3675908.497417, lowerbound=1301834.497417, norm of subgrad 1141.522885	dualbound = 3675908.497417, lowerbound=1301834.497417, norm of subgrad 35.962026	 stepsize= 1.000000 
-dualbound = 3675977.033730, lowerbound=1294708.033730, norm of subgrad 1138.403722	dualbound = 3675977.033730, lowerbound=1294708.033730, norm of subgrad 36.380439	 stepsize= 1.000000 
-dualbound = 3676055.398738, lowerbound=1306201.398738, norm of subgrad 1143.413923	dualbound = 3676055.398738, lowerbound=1306201.398738, norm of subgrad 35.670226	 stepsize= 1.000000 
-dualbound = 3676137.001160, lowerbound=1290093.001160, norm of subgrad 1136.371859	dualbound = 3676137.001160, lowerbound=1290093.001160, norm of subgrad 36.463714	 stepsize= 1.000000 
-dualbound = 3676172.286376, lowerbound=1300001.286376, norm of subgrad 1140.703856	dualbound = 3676172.286376, lowerbound=1300001.286376, norm of subgrad 35.203483	 stepsize= 1.000000 
-dualbound = 3676283.492659, lowerbound=1290002.492659, norm of subgrad 1136.297273	dualbound = 3676283.492659, lowerbound=1290002.492659, norm of subgrad 35.779970	 stepsize= 1.000000 
-dualbound = 3676313.551584, lowerbound=1295787.551584, norm of subgrad 1138.853174	dualbound = 3676313.551584, lowerbound=1295787.551584, norm of subgrad 35.057937	 stepsize= 1.000000 
-dualbound = 3676373.334154, lowerbound=1296656.334154, norm of subgrad 1139.268772	dualbound = 3676373.334154, lowerbound=1296656.334154, norm of subgrad 36.562037	 stepsize= 1.000000 
-dualbound = 3676419.675813, lowerbound=1300772.675813, norm of subgrad 1141.033600	dualbound = 3676419.675813, lowerbound=1300772.675813, norm of subgrad 35.090478	 stepsize= 1.000000 
-dualbound = 3676537.437016, lowerbound=1295550.437016, norm of subgrad 1138.725356	dualbound = 3676537.437016, lowerbound=1295550.437016, norm of subgrad 35.535351	 stepsize= 1.000000 
-dualbound = 3676582.334717, lowerbound=1298995.334717, norm of subgrad 1140.261082	dualbound = 3676582.334717, lowerbound=1298995.334717, norm of subgrad 35.283108	 stepsize= 1.000000 
-dualbound = 3676627.858377, lowerbound=1298549.858377, norm of subgrad 1140.108266	dualbound = 3676627.858377, lowerbound=1298549.858377, norm of subgrad 36.640465	 stepsize= 1.000000 
-dualbound = 3676686.447156, lowerbound=1295037.447156, norm of subgrad 1138.539612	dualbound = 3676686.447156, lowerbound=1295037.447156, norm of subgrad 35.966495	 stepsize= 1.000000 
-dualbound = 3676752.850823, lowerbound=1299482.850823, norm of subgrad 1140.518238	dualbound = 3676752.850823, lowerbound=1299482.850823, norm of subgrad 36.951369	 stepsize= 1.000000 
-dualbound = 3676792.650743, lowerbound=1297217.650743, norm of subgrad 1139.511146	dualbound = 3676792.650743, lowerbound=1297217.650743, norm of subgrad 36.163516	 stepsize= 1.000000 
-dualbound = 3676879.977458, lowerbound=1298867.977458, norm of subgrad 1140.239439	dualbound = 3676879.977458, lowerbound=1298867.977458, norm of subgrad 36.950328	 stepsize= 1.000000 
-dualbound = 3676949.286814, lowerbound=1297120.286814, norm of subgrad 1139.473250	dualbound = 3676949.286814, lowerbound=1297120.286814, norm of subgrad 36.719332	 stepsize= 1.000000 
-dualbound = 3677005.876938, lowerbound=1299469.876938, norm of subgrad 1140.516496	dualbound = 3677005.876938, lowerbound=1299469.876938, norm of subgrad 36.940359	 stepsize= 1.000000 
-dualbound = 3677071.434171, lowerbound=1298584.434171, norm of subgrad 1140.090538	dualbound = 3677071.434171, lowerbound=1298584.434171, norm of subgrad 35.882548	 stepsize= 1.000000 
-dualbound = 3677154.673730, lowerbound=1298102.673730, norm of subgrad 1139.884939	dualbound = 3677154.673730, lowerbound=1298102.673730, norm of subgrad 36.307569	 stepsize= 1.000000 
-dualbound = 3677194.221338, lowerbound=1294856.221338, norm of subgrad 1138.486812	dualbound = 3677194.221338, lowerbound=1294856.221338, norm of subgrad 36.545145	 stepsize= 1.000000 
-dualbound = 3677270.726519, lowerbound=1300269.726519, norm of subgrad 1140.860520	dualbound = 3677270.726519, lowerbound=1300269.726519, norm of subgrad 37.006826	 stepsize= 1.000000 
-dualbound = 3677341.858344, lowerbound=1298223.858344, norm of subgrad 1139.919233	dualbound = 3677341.858344, lowerbound=1298223.858344, norm of subgrad 35.540566	 stepsize= 1.000000 
-dualbound = 3677416.442265, lowerbound=1303521.442265, norm of subgrad 1142.252793	dualbound = 3677416.442265, lowerbound=1303521.442265, norm of subgrad 35.980327	 stepsize= 1.000000 
-dualbound = 3677450.471300, lowerbound=1294120.471300, norm of subgrad 1138.152657	dualbound = 3677450.471300, lowerbound=1294120.471300, norm of subgrad 36.125186	 stepsize= 1.000000 
-dualbound = 3677545.131842, lowerbound=1298748.131842, norm of subgrad 1140.158380	dualbound = 3677545.131842, lowerbound=1298748.131842, norm of subgrad 36.161589	 stepsize= 1.000000 
-dualbound = 3677589.346016, lowerbound=1294817.346016, norm of subgrad 1138.447779	dualbound = 3677589.346016, lowerbound=1294817.346016, norm of subgrad 35.919551	 stepsize= 1.000000 
-dualbound = 3677665.459132, lowerbound=1300526.459132, norm of subgrad 1140.950682	dualbound = 3677665.459132, lowerbound=1300526.459132, norm of subgrad 36.305828	 stepsize= 1.000000 
-dualbound = 3677706.079922, lowerbound=1295342.079922, norm of subgrad 1138.692267	dualbound = 3677706.079922, lowerbound=1295342.079922, norm of subgrad 36.312819	 stepsize= 1.000000 
-dualbound = 3677768.967550, lowerbound=1299708.967550, norm of subgrad 1140.580540	dualbound = 3677768.967550, lowerbound=1299708.967550, norm of subgrad 35.747554	 stepsize= 1.000000 
-dualbound = 3677830.276934, lowerbound=1291272.276934, norm of subgrad 1136.886660	dualbound = 3677830.276934, lowerbound=1291272.276934, norm of subgrad 36.059803	 stepsize= 1.000000 
-dualbound = 3677928.495757, lowerbound=1302029.495757, norm of subgrad 1141.587270	dualbound = 3677928.495757, lowerbound=1302029.495757, norm of subgrad 35.919616	 stepsize= 1.000000 
-dualbound = 3677977.989765, lowerbound=1287773.989765, norm of subgrad 1135.343556	dualbound = 3677977.989765, lowerbound=1287773.989765, norm of subgrad 35.783991	 stepsize= 1.000000 
-dualbound = 3678035.475127, lowerbound=1300342.475127, norm of subgrad 1140.865231	dualbound = 3678035.475127, lowerbound=1300342.475127, norm of subgrad 35.895478	 stepsize= 1.000000 
-dualbound = 3678117.934696, lowerbound=1292836.934696, norm of subgrad 1137.592605	dualbound = 3678117.934696, lowerbound=1292836.934696, norm of subgrad 36.911510	 stepsize= 1.000000 
-dualbound = 3678138.402465, lowerbound=1302355.402465, norm of subgrad 1141.784306	dualbound = 3678138.402465, lowerbound=1302355.402465, norm of subgrad 36.557732	 stepsize= 1.000000 
-dualbound = 3678224.761229, lowerbound=1299078.761229, norm of subgrad 1140.291525	dualbound = 3678224.761229, lowerbound=1299078.761229, norm of subgrad 35.670138	 stepsize= 1.000000 
-dualbound = 3678309.715263, lowerbound=1301786.715263, norm of subgrad 1141.501518	dualbound = 3678309.715263, lowerbound=1301786.715263, norm of subgrad 36.386179	 stepsize= 1.000000 
-dualbound = 3678349.179175, lowerbound=1294589.179175, norm of subgrad 1138.355032	dualbound = 3678349.179175, lowerbound=1294589.179175, norm of subgrad 36.089665	 stepsize= 1.000000 
-dualbound = 3678430.125560, lowerbound=1301812.125560, norm of subgrad 1141.493813	dualbound = 3678430.125560, lowerbound=1301812.125560, norm of subgrad 35.734387	 stepsize= 1.000000 
-dualbound = 3678483.008759, lowerbound=1294434.008759, norm of subgrad 1138.275015	dualbound = 3678483.008759, lowerbound=1294434.008759, norm of subgrad 35.901019	 stepsize= 1.000000 
-dualbound = 3678534.557524, lowerbound=1298833.557524, norm of subgrad 1140.225661	dualbound = 3678534.557524, lowerbound=1298833.557524, norm of subgrad 36.504092	 stepsize= 1.000000 
-dualbound = 3678612.302461, lowerbound=1292817.302461, norm of subgrad 1137.550571	dualbound = 3678612.302461, lowerbound=1292817.302461, norm of subgrad 35.801466	 stepsize= 1.000000 
-dualbound = 3678703.861695, lowerbound=1300554.861695, norm of subgrad 1140.961376	dualbound = 3678703.861695, lowerbound=1300554.861695, norm of subgrad 36.463122	 stepsize= 1.000000 
-dualbound = 3678754.521113, lowerbound=1293871.521113, norm of subgrad 1138.047680	dualbound = 3678754.521113, lowerbound=1293871.521113, norm of subgrad 36.491909	 stepsize= 1.000000 
-dualbound = 3678818.412928, lowerbound=1307842.412928, norm of subgrad 1144.146587	dualbound = 3678818.412928, lowerbound=1307842.412928, norm of subgrad 35.956805	 stepsize= 1.000000 
-dualbound = 3678890.035014, lowerbound=1296659.035014, norm of subgrad 1139.259863	dualbound = 3678890.035014, lowerbound=1296659.035014, norm of subgrad 36.409093	 stepsize= 1.000000 
-dualbound = 3678946.013735, lowerbound=1296623.013735, norm of subgrad 1139.249759	dualbound = 3678946.013735, lowerbound=1296623.013735, norm of subgrad 36.372774	 stepsize= 1.000000 
-dualbound = 3678978.768928, lowerbound=1294105.768928, norm of subgrad 1138.161135	dualbound = 3678978.768928, lowerbound=1294105.768928, norm of subgrad 36.575336	 stepsize= 1.000000 
-dualbound = 3679070.290581, lowerbound=1294659.290581, norm of subgrad 1138.349810	dualbound = 3679070.290581, lowerbound=1294659.290581, norm of subgrad 35.672421	 stepsize= 1.000000 
-dualbound = 3679136.459948, lowerbound=1297439.459948, norm of subgrad 1139.596622	dualbound = 3679136.459948, lowerbound=1297439.459948, norm of subgrad 36.154797	 stepsize= 1.000000 
-dualbound = 3679185.664234, lowerbound=1295496.664234, norm of subgrad 1138.759704	dualbound = 3679185.664234, lowerbound=1295496.664234, norm of subgrad 36.417088	 stepsize= 1.000000 
-dualbound = 3679222.776745, lowerbound=1300191.776745, norm of subgrad 1140.829863	dualbound = 3679222.776745, lowerbound=1300191.776745, norm of subgrad 36.580220	 stepsize= 1.000000 
-dualbound = 3679316.360746, lowerbound=1296160.360746, norm of subgrad 1139.016840	dualbound = 3679316.360746, lowerbound=1296160.360746, norm of subgrad 35.952524	 stepsize= 1.000000 
-dualbound = 3679403.224583, lowerbound=1291689.224583, norm of subgrad 1137.041875	dualbound = 3679403.224583, lowerbound=1291689.224583, norm of subgrad 35.522723	 stepsize= 1.000000 
-dualbound = 3679453.734633, lowerbound=1299325.734633, norm of subgrad 1140.441465	dualbound = 3679453.734633, lowerbound=1299325.734633, norm of subgrad 36.489862	 stepsize= 1.000000 
-dualbound = 3679496.228299, lowerbound=1297950.228299, norm of subgrad 1139.824648	dualbound = 3679496.228299, lowerbound=1297950.228299, norm of subgrad 35.951268	 stepsize= 1.000000 
-dualbound = 3679605.540939, lowerbound=1302658.540939, norm of subgrad 1141.854869	dualbound = 3679605.540939, lowerbound=1302658.540939, norm of subgrad 35.823353	 stepsize= 1.000000 
-dualbound = 3679666.477014, lowerbound=1300590.477014, norm of subgrad 1140.953319	dualbound = 3679666.477014, lowerbound=1300590.477014, norm of subgrad 35.283652	 stepsize= 1.000000 
-dualbound = 3679724.903391, lowerbound=1291920.903391, norm of subgrad 1137.178044	dualbound = 3679724.903391, lowerbound=1291920.903391, norm of subgrad 36.213621	 stepsize= 1.000000 
-dualbound = 3679790.631252, lowerbound=1296619.631252, norm of subgrad 1139.210969	dualbound = 3679790.631252, lowerbound=1296619.631252, norm of subgrad 35.323192	 stepsize= 1.000000 
-dualbound = 3679857.394019, lowerbound=1294357.394019, norm of subgrad 1138.246631	dualbound = 3679857.394019, lowerbound=1294357.394019, norm of subgrad 36.259658	 stepsize= 1.000000 
-dualbound = 3679888.843468, lowerbound=1299376.843468, norm of subgrad 1140.457734	dualbound = 3679888.843468, lowerbound=1299376.843468, norm of subgrad 36.034004	 stepsize= 1.000000 
-dualbound = 3679990.352438, lowerbound=1294904.352438, norm of subgrad 1138.474133	dualbound = 3679990.352438, lowerbound=1294904.352438, norm of subgrad 36.338808	 stepsize= 1.000000 
-dualbound = 3680020.036384, lowerbound=1300698.036384, norm of subgrad 1141.010971	dualbound = 3680020.036384, lowerbound=1300698.036384, norm of subgrad 35.180733	 stepsize= 1.000000 
-dualbound = 3680115.836989, lowerbound=1292693.836989, norm of subgrad 1137.503774	dualbound = 3680115.836989, lowerbound=1292693.836989, norm of subgrad 36.287747	 stepsize= 1.000000 
-dualbound = 3680166.410768, lowerbound=1298781.410768, norm of subgrad 1140.185253	dualbound = 3680166.410768, lowerbound=1298781.410768, norm of subgrad 35.938472	 stepsize= 1.000000 
-dualbound = 3680254.214078, lowerbound=1296262.214078, norm of subgrad 1139.077352	dualbound = 3680254.214078, lowerbound=1296262.214078, norm of subgrad 36.370363	 stepsize= 1.000000 
-dualbound = 3680262.600127, lowerbound=1299263.600127, norm of subgrad 1140.429130	dualbound = 3680262.600127, lowerbound=1299263.600127, norm of subgrad 36.378373	 stepsize= 1.000000 
-dualbound = 3680359.857320, lowerbound=1300653.857320, norm of subgrad 1141.028421	dualbound = 3680359.857320, lowerbound=1300653.857320, norm of subgrad 37.272741	 stepsize= 1.000000 
-dualbound = 3680408.330645, lowerbound=1302592.330645, norm of subgrad 1141.855214	dualbound = 3680408.330645, lowerbound=1302592.330645, norm of subgrad 35.909237	 stepsize= 1.000000 
-dualbound = 3680491.222515, lowerbound=1297150.222515, norm of subgrad 1139.441189	dualbound = 3680491.222515, lowerbound=1297150.222515, norm of subgrad 35.480866	 stepsize= 1.000000 
-dualbound = 3680559.328241, lowerbound=1302417.328241, norm of subgrad 1141.769823	dualbound = 3680559.328241, lowerbound=1302417.328241, norm of subgrad 35.904119	 stepsize= 1.000000 
-dualbound = 3680622.298950, lowerbound=1295521.298950, norm of subgrad 1138.743737	dualbound = 3680622.298950, lowerbound=1295521.298950, norm of subgrad 35.762700	 stepsize= 1.000000 
-dualbound = 3680671.713914, lowerbound=1298165.713914, norm of subgrad 1139.915222	dualbound = 3680671.713914, lowerbound=1298165.713914, norm of subgrad 35.922346	 stepsize= 1.000000 
-dualbound = 3680765.916322, lowerbound=1293449.916322, norm of subgrad 1137.848811	dualbound = 3680765.916322, lowerbound=1293449.916322, norm of subgrad 36.663366	 stepsize= 1.000000 
-dualbound = 3680795.885077, lowerbound=1296946.885077, norm of subgrad 1139.364685	dualbound = 3680795.885077, lowerbound=1296946.885077, norm of subgrad 35.142122	 stepsize= 1.000000 
-dualbound = 3680880.786902, lowerbound=1294608.786902, norm of subgrad 1138.346514	dualbound = 3680880.786902, lowerbound=1294608.786902, norm of subgrad 36.178748	 stepsize= 1.000000 
-dualbound = 3680931.652860, lowerbound=1301327.652860, norm of subgrad 1141.291660	dualbound = 3680931.652860, lowerbound=1301327.652860, norm of subgrad 35.635179	 stepsize= 1.000000 
-dualbound = 3681028.557177, lowerbound=1296330.557177, norm of subgrad 1139.087599	dualbound = 3681028.557177, lowerbound=1296330.557177, norm of subgrad 35.873449	 stepsize= 1.000000 
-dualbound = 3681067.159671, lowerbound=1300949.159671, norm of subgrad 1141.123639	dualbound = 3681067.159671, lowerbound=1300949.159671, norm of subgrad 35.392125	 stepsize= 1.000000 
-dualbound = 3681145.282709, lowerbound=1296000.282709, norm of subgrad 1138.952274	dualbound = 3681145.282709, lowerbound=1296000.282709, norm of subgrad 35.918283	 stepsize= 1.000000 
-dualbound = 3681176.467790, lowerbound=1302235.467790, norm of subgrad 1141.658648	dualbound = 3681176.467790, lowerbound=1302235.467790, norm of subgrad 34.353822	 stepsize= 1.000000 
-dualbound = 3681295.061727, lowerbound=1291882.061727, norm of subgrad 1137.130627	dualbound = 3681295.061727, lowerbound=1291882.061727, norm of subgrad 36.091466	 stepsize= 1.000000 
-dualbound = 3681312.016194, lowerbound=1301486.016194, norm of subgrad 1141.378998	dualbound = 3681312.016194, lowerbound=1301486.016194, norm of subgrad 35.734500	 stepsize= 1.000000 
-dualbound = 3681384.702135, lowerbound=1297681.702135, norm of subgrad 1139.713430	dualbound = 3681384.702135, lowerbound=1297681.702135, norm of subgrad 36.574389	 stepsize= 1.000000 
-dualbound = 3681451.000452, lowerbound=1299201.000452, norm of subgrad 1140.391600	dualbound = 3681451.000452, lowerbound=1299201.000452, norm of subgrad 36.855099	 stepsize= 1.000000 
-dualbound = 3681500.335212, lowerbound=1301927.335212, norm of subgrad 1141.560483	dualbound = 3681500.335212, lowerbound=1301927.335212, norm of subgrad 35.809702	 stepsize= 1.000000 
-dualbound = 3681574.834216, lowerbound=1297674.834216, norm of subgrad 1139.685849	dualbound = 3681574.834216, lowerbound=1297674.834216, norm of subgrad 35.825954	 stepsize= 1.000000 
-dualbound = 3681669.934909, lowerbound=1295927.934909, norm of subgrad 1138.913050	dualbound = 3681669.934909, lowerbound=1295927.934909, norm of subgrad 35.917972	 stepsize= 1.000000 
-dualbound = 3681710.090981, lowerbound=1301040.090981, norm of subgrad 1141.176626	dualbound = 3681710.090981, lowerbound=1301040.090981, norm of subgrad 35.835123	 stepsize= 1.000000 
-dualbound = 3681754.845977, lowerbound=1301956.845977, norm of subgrad 1141.617206	dualbound = 3681754.845977, lowerbound=1301956.845977, norm of subgrad 37.118122	 stepsize= 1.000000 
-dualbound = 3681819.658405, lowerbound=1296202.658405, norm of subgrad 1139.045503	dualbound = 3681819.658405, lowerbound=1296202.658405, norm of subgrad 35.872168	 stepsize= 1.000000 
-dualbound = 3681899.466758, lowerbound=1296198.466758, norm of subgrad 1139.052881	dualbound = 3681899.466758, lowerbound=1296198.466758, norm of subgrad 36.370432	 stepsize= 1.000000 
-dualbound = 3681956.153288, lowerbound=1300425.153288, norm of subgrad 1140.934333	dualbound = 3681956.153288, lowerbound=1300425.153288, norm of subgrad 36.914584	 stepsize= 1.000000 
-dualbound = 3682009.610664, lowerbound=1293307.610664, norm of subgrad 1137.805612	dualbound = 3682009.610664, lowerbound=1293307.610664, norm of subgrad 36.707729	 stepsize= 1.000000 
-dualbound = 3682083.688678, lowerbound=1303395.688678, norm of subgrad 1142.185050	dualbound = 3682083.688678, lowerbound=1303395.688678, norm of subgrad 35.567935	 stepsize= 1.000000 
-dualbound = 3682187.550349, lowerbound=1294117.550349, norm of subgrad 1138.144345	dualbound = 3682187.550349, lowerbound=1294117.550349, norm of subgrad 36.862741	 stepsize= 1.000000 
-dualbound = 3682208.170785, lowerbound=1303657.170785, norm of subgrad 1142.304325	dualbound = 3682208.170785, lowerbound=1303657.170785, norm of subgrad 34.965990	 stepsize= 1.000000 
-dualbound = 3682318.859549, lowerbound=1293214.859549, norm of subgrad 1137.690582	dualbound = 3682318.859549, lowerbound=1293214.859549, norm of subgrad 35.152365	 stepsize= 1.000000 
-dualbound = 3682364.324907, lowerbound=1291809.324907, norm of subgrad 1137.096445	dualbound = 3682364.324907, lowerbound=1291809.324907, norm of subgrad 34.992361	 stepsize= 1.000000 
-dualbound = 3682444.049135, lowerbound=1299404.049135, norm of subgrad 1140.423627	dualbound = 3682444.049135, lowerbound=1299404.049135, norm of subgrad 35.238108	 stepsize= 1.000000 
-dualbound = 3682499.363057, lowerbound=1294218.363057, norm of subgrad 1138.171939	dualbound = 3682499.363057, lowerbound=1294218.363057, norm of subgrad 35.669510	 stepsize= 1.000000 
-dualbound = 3682539.635101, lowerbound=1295723.635101, norm of subgrad 1138.851015	dualbound = 3682539.635101, lowerbound=1295723.635101, norm of subgrad 36.031542	 stepsize= 1.000000 
-dualbound = 3682612.571589, lowerbound=1300850.571589, norm of subgrad 1141.068171	dualbound = 3682612.571589, lowerbound=1300850.571589, norm of subgrad 35.481495	 stepsize= 1.000000 
-dualbound = 3682685.398462, lowerbound=1299259.398462, norm of subgrad 1140.390897	dualbound = 3682685.398462, lowerbound=1299259.398462, norm of subgrad 36.122387	 stepsize= 1.000000 
-dualbound = 3682716.984880, lowerbound=1300116.984880, norm of subgrad 1140.762458	dualbound = 3682716.984880, lowerbound=1300116.984880, norm of subgrad 35.406022	 stepsize= 1.000000 
-dualbound = 3682810.296968, lowerbound=1297037.296968, norm of subgrad 1139.424546	dualbound = 3682810.296968, lowerbound=1297037.296968, norm of subgrad 36.664862	 stepsize= 1.000000 
-dualbound = 3682838.537952, lowerbound=1301144.537952, norm of subgrad 1141.255685	dualbound = 3682838.537952, lowerbound=1301144.537952, norm of subgrad 36.718401	 stepsize= 1.000000 
-dualbound = 3682918.590806, lowerbound=1294578.590806, norm of subgrad 1138.338961	dualbound = 3682918.590806, lowerbound=1294578.590806, norm of subgrad 36.291223	 stepsize= 1.000000 
-dualbound = 3682976.478923, lowerbound=1300088.478923, norm of subgrad 1140.757415	dualbound = 3682976.478923, lowerbound=1300088.478923, norm of subgrad 36.012333	 stepsize= 1.000000 
-dualbound = 3683082.144418, lowerbound=1295194.144418, norm of subgrad 1138.600081	dualbound = 3683082.144418, lowerbound=1295194.144418, norm of subgrad 36.354718	 stepsize= 1.000000 
-dualbound = 3683093.713059, lowerbound=1301013.713059, norm of subgrad 1141.181280	dualbound = 3683093.713059, lowerbound=1301013.713059, norm of subgrad 35.952311	 stepsize= 1.000000 
-dualbound = 3683182.114269, lowerbound=1302426.114269, norm of subgrad 1141.796442	dualbound = 3683182.114269, lowerbound=1302426.114269, norm of subgrad 36.897171	 stepsize= 1.000000 
-dualbound = 3683224.330052, lowerbound=1301703.330052, norm of subgrad 1141.473316	dualbound = 3683224.330052, lowerbound=1301703.330052, norm of subgrad 36.058505	 stepsize= 1.000000 
-dualbound = 3683324.462508, lowerbound=1298258.462508, norm of subgrad 1139.925200	dualbound = 3683324.462508, lowerbound=1298258.462508, norm of subgrad 35.652945	 stepsize= 1.000000 
-dualbound = 3683382.990907, lowerbound=1299487.990907, norm of subgrad 1140.509093	dualbound = 3683382.990907, lowerbound=1299487.990907, norm of subgrad 36.490114	 stepsize= 1.000000 
-dualbound = 3683446.944963, lowerbound=1298179.944963, norm of subgrad 1139.930676	dualbound = 3683446.944963, lowerbound=1298179.944963, norm of subgrad 36.413652	 stepsize= 1.000000 
-dualbound = 3683480.337426, lowerbound=1293191.337426, norm of subgrad 1137.734739	dualbound = 3683480.337426, lowerbound=1293191.337426, norm of subgrad 35.810508	 stepsize= 1.000000 
-dualbound = 3683574.566016, lowerbound=1299773.566016, norm of subgrad 1140.615433	dualbound = 3683574.566016, lowerbound=1299773.566016, norm of subgrad 36.389952	 stepsize= 1.000000 
-dualbound = 3683635.164646, lowerbound=1296322.164646, norm of subgrad 1139.086987	dualbound = 3683635.164646, lowerbound=1296322.164646, norm of subgrad 35.462637	 stepsize= 1.000000 
-dualbound = 3683692.848715, lowerbound=1300988.848715, norm of subgrad 1141.165566	dualbound = 3683692.848715, lowerbound=1300988.848715, norm of subgrad 36.437399	 stepsize= 1.000000 
-dualbound = 3683744.419212, lowerbound=1298591.419212, norm of subgrad 1140.098864	dualbound = 3683744.419212, lowerbound=1298591.419212, norm of subgrad 35.854853	 stepsize= 1.000000 
-dualbound = 3683827.296332, lowerbound=1298133.296332, norm of subgrad 1139.918109	dualbound = 3683827.296332, lowerbound=1298133.296332, norm of subgrad 36.917166	 stepsize= 1.000000 
-dualbound = 3683834.679179, lowerbound=1299491.679179, norm of subgrad 1140.504134	dualbound = 3683834.679179, lowerbound=1299491.679179, norm of subgrad 35.572220	 stepsize= 1.000000 
-dualbound = 3683964.348978, lowerbound=1294822.348978, norm of subgrad 1138.412205	dualbound = 3683964.348978, lowerbound=1294822.348978, norm of subgrad 35.911973	 stepsize= 1.000000 
-dualbound = 3684019.398559, lowerbound=1299650.398559, norm of subgrad 1140.539521	dualbound = 3684019.398559, lowerbound=1299650.398559, norm of subgrad 35.143272	 stepsize= 1.000000 
-dualbound = 3684109.412370, lowerbound=1298165.412370, norm of subgrad 1139.884386	dualbound = 3684109.412370, lowerbound=1298165.412370, norm of subgrad 35.510756	 stepsize= 1.000000 
-dualbound = 3684142.911193, lowerbound=1293404.911193, norm of subgrad 1137.819367	dualbound = 3684142.911193, lowerbound=1293404.911193, norm of subgrad 35.517585	 stepsize= 1.000000 
-dualbound = 3684196.047691, lowerbound=1295304.047691, norm of subgrad 1138.658881	dualbound = 3684196.047691, lowerbound=1295304.047691, norm of subgrad 35.960207	 stepsize= 1.000000 
-dualbound = 3684248.798622, lowerbound=1293648.798622, norm of subgrad 1137.951141	dualbound = 3684248.798622, lowerbound=1293648.798622, norm of subgrad 36.561605	 stepsize= 1.000000 
-dualbound = 3684330.779049, lowerbound=1297493.779049, norm of subgrad 1139.631861	dualbound = 3684330.779049, lowerbound=1297493.779049, norm of subgrad 36.728469	 stepsize= 1.000000 
-dualbound = 3684382.423118, lowerbound=1300549.423118, norm of subgrad 1140.963375	dualbound = 3684382.423118, lowerbound=1300549.423118, norm of subgrad 36.050577	 stepsize= 1.000000 
-dualbound = 3684467.191986, lowerbound=1299311.191986, norm of subgrad 1140.422374	dualbound = 3684467.191986, lowerbound=1299311.191986, norm of subgrad 36.561850	 stepsize= 1.000000 
-dualbound = 3684526.446703, lowerbound=1297041.446703, norm of subgrad 1139.432511	dualbound = 3684526.446703, lowerbound=1297041.446703, norm of subgrad 36.390311	 stepsize= 1.000000 
-dualbound = 3684552.272653, lowerbound=1301144.272653, norm of subgrad 1141.252064	dualbound = 3684552.272653, lowerbound=1301144.272653, norm of subgrad 36.576303	 stepsize= 1.000000 
-dualbound = 3684634.517249, lowerbound=1296636.517249, norm of subgrad 1139.270169	dualbound = 3684634.517249, lowerbound=1296636.517249, norm of subgrad 37.178550	 stepsize= 1.000000 
-dualbound = 3684699.868674, lowerbound=1295901.868674, norm of subgrad 1138.930581	dualbound = 3684699.868674, lowerbound=1295901.868674, norm of subgrad 36.419108	 stepsize= 1.000000 
-dualbound = 3684769.768528, lowerbound=1300014.768528, norm of subgrad 1140.749214	dualbound = 3684769.768528, lowerbound=1300014.768528, norm of subgrad 36.931015	 stepsize= 1.000000 
-dualbound = 3684826.869210, lowerbound=1295492.869210, norm of subgrad 1138.739597	dualbound = 3684826.869210, lowerbound=1295492.869210, norm of subgrad 35.945802	 stepsize= 1.000000 
-dualbound = 3684898.830157, lowerbound=1304183.830157, norm of subgrad 1142.553207	dualbound = 3684898.830157, lowerbound=1304183.830157, norm of subgrad 36.276176	 stepsize= 1.000000 
-dualbound = 3684981.584583, lowerbound=1293009.584583, norm of subgrad 1137.633326	dualbound = 3684981.584583, lowerbound=1293009.584583, norm of subgrad 35.815561	 stepsize= 1.000000 
-dualbound = 3685045.641077, lowerbound=1303087.641077, norm of subgrad 1142.055446	dualbound = 3685045.641077, lowerbound=1303087.641077, norm of subgrad 35.595737	 stepsize= 1.000000 
-dualbound = 3685112.835789, lowerbound=1298535.835789, norm of subgrad 1140.070101	dualbound = 3685112.835789, lowerbound=1298535.835789, norm of subgrad 35.933198	 stepsize= 1.000000 
-dualbound = 3685171.952281, lowerbound=1297582.952281, norm of subgrad 1139.642467	dualbound = 3685171.952281, lowerbound=1297582.952281, norm of subgrad 35.512202	 stepsize= 1.000000 
-dualbound = 3685241.535636, lowerbound=1302650.535636, norm of subgrad 1141.852677	dualbound = 3685241.535636, lowerbound=1302650.535636, norm of subgrad 35.306987	 stepsize= 1.000000 
-dualbound = 3685320.645686, lowerbound=1292965.645686, norm of subgrad 1137.587204	dualbound = 3685320.645686, lowerbound=1292965.645686, norm of subgrad 34.901433	 stepsize= 1.000000 
-dualbound = 3685392.993442, lowerbound=1297094.993442, norm of subgrad 1139.404666	dualbound = 3685392.993442, lowerbound=1297094.993442, norm of subgrad 34.933476	 stepsize= 1.000000 
-dualbound = 3685446.117437, lowerbound=1298235.117437, norm of subgrad 1139.945226	dualbound = 3685446.117437, lowerbound=1298235.117437, norm of subgrad 35.960033	 stepsize= 1.000000 
-dualbound = 3685492.050158, lowerbound=1299180.050158, norm of subgrad 1140.363561	dualbound = 3685492.050158, lowerbound=1299180.050158, norm of subgrad 35.985174	 stepsize= 1.000000 
-dualbound = 3685551.678662, lowerbound=1297362.678662, norm of subgrad 1139.559862	dualbound = 3685551.678662, lowerbound=1297362.678662, norm of subgrad 35.967047	 stepsize= 1.000000 
-dualbound = 3685619.876062, lowerbound=1294535.876062, norm of subgrad 1138.297358	dualbound = 3685619.876062, lowerbound=1294535.876062, norm of subgrad 35.400528	 stepsize= 1.000000 
-dualbound = 3685685.717851, lowerbound=1297742.717851, norm of subgrad 1139.695450	dualbound = 3685685.717851, lowerbound=1297742.717851, norm of subgrad 35.054840	 stepsize= 1.000000 
-dualbound = 3685746.321013, lowerbound=1299914.321013, norm of subgrad 1140.670996	dualbound = 3685746.321013, lowerbound=1299914.321013, norm of subgrad 35.729584	 stepsize= 1.000000 
-dualbound = 3685806.594238, lowerbound=1295202.594238, norm of subgrad 1138.608622	dualbound = 3685806.594238, lowerbound=1295202.594238, norm of subgrad 35.878590	 stepsize= 1.000000 
-dualbound = 3685860.401339, lowerbound=1299706.401339, norm of subgrad 1140.616676	dualbound = 3685860.401339, lowerbound=1299706.401339, norm of subgrad 36.794118	 stepsize= 1.000000 
-dualbound = 3685921.760354, lowerbound=1297505.760354, norm of subgrad 1139.616058	dualbound = 3685921.760354, lowerbound=1297505.760354, norm of subgrad 35.782105	 stepsize= 1.000000 
-dualbound = 3685995.891238, lowerbound=1299629.891238, norm of subgrad 1140.536668	dualbound = 3685995.891238, lowerbound=1299629.891238, norm of subgrad 35.610825	 stepsize= 1.000000 
-dualbound = 3686073.959076, lowerbound=1294204.959076, norm of subgrad 1138.186698	dualbound = 3686073.959076, lowerbound=1294204.959076, norm of subgrad 36.634244	 stepsize= 1.000000 
-dualbound = 3686112.325954, lowerbound=1297291.325954, norm of subgrad 1139.516707	dualbound = 3686112.325954, lowerbound=1297291.325954, norm of subgrad 35.289756	 stepsize= 1.000000 
-dualbound = 3686189.383772, lowerbound=1296773.383772, norm of subgrad 1139.301709	dualbound = 3686189.383772, lowerbound=1296773.383772, norm of subgrad 36.222339	 stepsize= 1.000000 
-dualbound = 3686259.891713, lowerbound=1300182.891713, norm of subgrad 1140.786085	dualbound = 3686259.891713, lowerbound=1300182.891713, norm of subgrad 35.784186	 stepsize= 1.000000 
-dualbound = 3686314.356101, lowerbound=1296019.356101, norm of subgrad 1138.983036	dualbound = 3686314.356101, lowerbound=1296019.356101, norm of subgrad 36.296892	 stepsize= 1.000000 
-dualbound = 3686391.338271, lowerbound=1300712.338271, norm of subgrad 1141.019868	dualbound = 3686391.338271, lowerbound=1300712.338271, norm of subgrad 35.930240	 stepsize= 1.000000 
-dualbound = 3686437.918869, lowerbound=1292492.918869, norm of subgrad 1137.438754	dualbound = 3686437.918869, lowerbound=1292492.918869, norm of subgrad 36.339794	 stepsize= 1.000000 
-dualbound = 3686519.918037, lowerbound=1299765.918037, norm of subgrad 1140.619094	dualbound = 3686519.918037, lowerbound=1299765.918037, norm of subgrad 36.441723	 stepsize= 1.000000 
-dualbound = 3686547.245612, lowerbound=1298128.245612, norm of subgrad 1139.892647	dualbound = 3686547.245612, lowerbound=1298128.245612, norm of subgrad 35.416487	 stepsize= 1.000000 
-dualbound = 3686657.771501, lowerbound=1296943.771501, norm of subgrad 1139.370779	dualbound = 3686657.771501, lowerbound=1296943.771501, norm of subgrad 36.503779	 stepsize= 1.000000 
-dualbound = 3686696.143547, lowerbound=1302906.143547, norm of subgrad 1141.998749	dualbound = 3686696.143547, lowerbound=1302906.143547, norm of subgrad 35.963482	 stepsize= 1.000000 
-dualbound = 3686761.959781, lowerbound=1299033.959781, norm of subgrad 1140.288104	dualbound = 3686761.959781, lowerbound=1299033.959781, norm of subgrad 35.900087	 stepsize= 1.000000 
-dualbound = 3686827.027445, lowerbound=1296906.027445, norm of subgrad 1139.385811	dualbound = 3686827.027445, lowerbound=1296906.027445, norm of subgrad 36.865535	 stepsize= 1.000000 
-dualbound = 3686863.199269, lowerbound=1300280.199269, norm of subgrad 1140.841005	dualbound = 3686863.199269, lowerbound=1300280.199269, norm of subgrad 35.695543	 stepsize= 1.000000 
-dualbound = 3686968.406230, lowerbound=1299871.406230, norm of subgrad 1140.629390	dualbound = 3686968.406230, lowerbound=1299871.406230, norm of subgrad 35.625931	 stepsize= 1.000000 
-dualbound = 3687031.839885, lowerbound=1300855.839885, norm of subgrad 1141.064345	dualbound = 3687031.839885, lowerbound=1300855.839885, norm of subgrad 35.148736	 stepsize= 1.000000 
-dualbound = 3687121.070843, lowerbound=1299442.070843, norm of subgrad 1140.431090	dualbound = 3687121.070843, lowerbound=1299442.070843, norm of subgrad 35.074648	 stepsize= 1.000000 
-dualbound = 3687176.215772, lowerbound=1302269.215772, norm of subgrad 1141.709777	dualbound = 3687176.215772, lowerbound=1302269.215772, norm of subgrad 35.876802	 stepsize= 1.000000 
-dualbound = 3687209.470298, lowerbound=1294736.470298, norm of subgrad 1138.386345	dualbound = 3687209.470298, lowerbound=1294736.470298, norm of subgrad 34.932142	 stepsize= 1.000000 
-dualbound = 3687313.103616, lowerbound=1301878.103616, norm of subgrad 1141.516143	dualbound = 3687313.103616, lowerbound=1301878.103616, norm of subgrad 35.841782	 stepsize= 1.000000 
-dualbound = 3687347.554759, lowerbound=1296085.554759, norm of subgrad 1138.996293	dualbound = 3687347.554759, lowerbound=1296085.554759, norm of subgrad 35.516913	 stepsize= 1.000000 
-dualbound = 3687404.170897, lowerbound=1294656.170897, norm of subgrad 1138.399829	dualbound = 3687404.170897, lowerbound=1294656.170897, norm of subgrad 36.805110	 stepsize= 1.000000 
-dualbound = 3687457.494920, lowerbound=1294541.494920, norm of subgrad 1138.314322	dualbound = 3687457.494920, lowerbound=1294541.494920, norm of subgrad 35.655631	 stepsize= 1.000000 
-dualbound = 3687562.712827, lowerbound=1296936.712827, norm of subgrad 1139.361099	dualbound = 3687562.712827, lowerbound=1296936.712827, norm of subgrad 36.224548	 stepsize= 1.000000 
-dualbound = 3687593.477766, lowerbound=1298706.477766, norm of subgrad 1140.148445	dualbound = 3687593.477766, lowerbound=1298706.477766, norm of subgrad 35.535404	 stepsize= 1.000000 
-dualbound = 3687694.093417, lowerbound=1301837.093417, norm of subgrad 1141.526650	dualbound = 3687694.093417, lowerbound=1301837.093417, norm of subgrad 36.696262	 stepsize= 1.000000 
-dualbound = 3687731.538898, lowerbound=1297359.538898, norm of subgrad 1139.567698	dualbound = 3687731.538898, lowerbound=1297359.538898, norm of subgrad 35.950598	 stepsize= 1.000000 
-dualbound = 3687782.356413, lowerbound=1298078.356413, norm of subgrad 1139.875149	dualbound = 3687782.356413, lowerbound=1298078.356413, norm of subgrad 35.886174	 stepsize= 1.000000 
-dualbound = 3687837.014596, lowerbound=1300774.014596, norm of subgrad 1141.073624	dualbound = 3687837.014596, lowerbound=1300774.014596, norm of subgrad 36.464478	 stepsize= 1.000000 
-dualbound = 3687914.121985, lowerbound=1297331.121985, norm of subgrad 1139.560056	dualbound = 3687914.121985, lowerbound=1297331.121985, norm of subgrad 36.648430	 stepsize= 1.000000 
-dualbound = 3688000.812297, lowerbound=1300907.812297, norm of subgrad 1141.108151	dualbound = 3688000.812297, lowerbound=1300907.812297, norm of subgrad 36.148172	 stepsize= 1.000000 
-dualbound = 3688026.124572, lowerbound=1300992.124572, norm of subgrad 1141.206434	dualbound = 3688026.124572, lowerbound=1300992.124572, norm of subgrad 37.219783	 stepsize= 1.000000 
-dualbound = 3688079.071592, lowerbound=1298430.071592, norm of subgrad 1140.061433	dualbound = 3688079.071592, lowerbound=1298430.071592, norm of subgrad 36.918112	 stepsize= 1.000000 
-dualbound = 3688170.473689, lowerbound=1298846.473689, norm of subgrad 1140.215977	dualbound = 3688170.473689, lowerbound=1298846.473689, norm of subgrad 36.570509	 stepsize= 1.000000 
-dualbound = 3688231.459522, lowerbound=1298055.459522, norm of subgrad 1139.877388	dualbound = 3688231.459522, lowerbound=1298055.459522, norm of subgrad 36.414088	 stepsize= 1.000000 
-dualbound = 3688322.874125, lowerbound=1295746.874125, norm of subgrad 1138.862535	dualbound = 3688322.874125, lowerbound=1295746.874125, norm of subgrad 36.775190	 stepsize= 1.000000 
-dualbound = 3688359.089345, lowerbound=1298817.089345, norm of subgrad 1140.201776	dualbound = 3688359.089345, lowerbound=1298817.089345, norm of subgrad 35.766118	 stepsize= 1.000000 
-dualbound = 3688451.261837, lowerbound=1297039.261837, norm of subgrad 1139.420143	dualbound = 3688451.261837, lowerbound=1297039.261837, norm of subgrad 36.485237	 stepsize= 1.000000 
-dualbound = 3688512.784074, lowerbound=1297519.784074, norm of subgrad 1139.641954	dualbound = 3688512.784074, lowerbound=1297519.784074, norm of subgrad 36.407722	 stepsize= 1.000000 
-dualbound = 3688560.687662, lowerbound=1294873.687662, norm of subgrad 1138.458470	dualbound = 3688560.687662, lowerbound=1294873.687662, norm of subgrad 35.523282	 stepsize= 1.000000 
-dualbound = 3688636.373430, lowerbound=1302133.373430, norm of subgrad 1141.652475	dualbound = 3688636.373430, lowerbound=1302133.373430, norm of subgrad 36.231006	 stepsize= 1.000000 
-dualbound = 3688686.499224, lowerbound=1295882.499224, norm of subgrad 1138.916371	dualbound = 3688686.499224, lowerbound=1295882.499224, norm of subgrad 36.029513	 stepsize= 1.000000 
-dualbound = 3688733.744688, lowerbound=1297726.744688, norm of subgrad 1139.728803	dualbound = 3688733.744688, lowerbound=1297726.744688, norm of subgrad 36.086638	 stepsize= 1.000000 
-dualbound = 3688830.387737, lowerbound=1297661.387737, norm of subgrad 1139.689163	dualbound = 3688830.387737, lowerbound=1297661.387737, norm of subgrad 36.423111	 stepsize= 1.000000 
-dualbound = 3688894.082773, lowerbound=1296499.082773, norm of subgrad 1139.165520	dualbound = 3688894.082773, lowerbound=1296499.082773, norm of subgrad 35.534420	 stepsize= 1.000000 
-dualbound = 3688954.621218, lowerbound=1296185.621218, norm of subgrad 1139.030562	dualbound = 3688954.621218, lowerbound=1296185.621218, norm of subgrad 35.574407	 stepsize= 1.000000 
-dualbound = 3689028.535684, lowerbound=1295464.535684, norm of subgrad 1138.718813	dualbound = 3689028.535684, lowerbound=1295464.535684, norm of subgrad 35.915379	 stepsize= 1.000000 
-dualbound = 3689085.232793, lowerbound=1302224.232793, norm of subgrad 1141.712412	dualbound = 3689085.232793, lowerbound=1302224.232793, norm of subgrad 36.601873	 stepsize= 1.000000 
-dualbound = 3689119.899082, lowerbound=1296839.899082, norm of subgrad 1139.337044	dualbound = 3689119.899082, lowerbound=1296839.899082, norm of subgrad 35.828289	 stepsize= 1.000000 
-dualbound = 3689206.268639, lowerbound=1298411.268639, norm of subgrad 1140.043538	dualbound = 3689206.268639, lowerbound=1298411.268639, norm of subgrad 37.072491	 stepsize= 1.000000 
-dualbound = 3689267.367050, lowerbound=1300269.367050, norm of subgrad 1140.816535	dualbound = 3689267.367050, lowerbound=1300269.367050, norm of subgrad 35.413252	 stepsize= 1.000000 
-dualbound = 3689353.521421, lowerbound=1294208.521421, norm of subgrad 1138.164541	dualbound = 3689353.521421, lowerbound=1294208.521421, norm of subgrad 36.002144	 stepsize= 1.000000 
-dualbound = 3689411.308452, lowerbound=1302680.308452, norm of subgrad 1141.889359	dualbound = 3689411.308452, lowerbound=1302680.308452, norm of subgrad 35.899680	 stepsize= 1.000000 
-dualbound = 3689486.434931, lowerbound=1294881.434931, norm of subgrad 1138.481636	dualbound = 3689486.434931, lowerbound=1294881.434931, norm of subgrad 36.525696	 stepsize= 1.000000 
-dualbound = 3689505.376423, lowerbound=1296014.376423, norm of subgrad 1138.961973	dualbound = 3689505.376423, lowerbound=1296014.376423, norm of subgrad 35.198601	 stepsize= 1.000000 
-dualbound = 3689616.532365, lowerbound=1304401.532365, norm of subgrad 1142.629657	dualbound = 3689616.532365, lowerbound=1304401.532365, norm of subgrad 36.223693	 stepsize= 1.000000 
-dualbound = 3689649.300101, lowerbound=1296764.300101, norm of subgrad 1139.296845	dualbound = 3689649.300101, lowerbound=1296764.300101, norm of subgrad 35.577630	 stepsize= 1.000000 
-dualbound = 3689739.123310, lowerbound=1299996.123310, norm of subgrad 1140.676169	dualbound = 3689739.123310, lowerbound=1299996.123310, norm of subgrad 35.154277	 stepsize= 1.000000 
-dualbound = 3689797.100335, lowerbound=1298582.100335, norm of subgrad 1140.077234	dualbound = 3689797.100335, lowerbound=1298582.100335, norm of subgrad 35.383287	 stepsize= 1.000000 
-dualbound = 3689876.627946, lowerbound=1300356.627946, norm of subgrad 1140.864421	dualbound = 3689876.627946, lowerbound=1300356.627946, norm of subgrad 35.979544	 stepsize= 1.000000 
-dualbound = 3689890.526770, lowerbound=1297456.526770, norm of subgrad 1139.602355	dualbound = 3689890.526770, lowerbound=1297456.526770, norm of subgrad 35.368048	 stepsize= 1.000000 
-dualbound = 3689987.829631, lowerbound=1298862.829631, norm of subgrad 1140.199031	dualbound = 3689987.829631, lowerbound=1298862.829631, norm of subgrad 35.892936	 stepsize= 1.000000 
-dualbound = 3690064.650955, lowerbound=1303147.650955, norm of subgrad 1142.091787	dualbound = 3690064.650955, lowerbound=1303147.650955, norm of subgrad 36.094616	 stepsize= 1.000000 
-dualbound = 3690117.578691, lowerbound=1294376.578691, norm of subgrad 1138.255937	dualbound = 3690117.578691, lowerbound=1294376.578691, norm of subgrad 36.096090	 stepsize= 1.000000 
-dualbound = 3690185.872821, lowerbound=1298256.872821, norm of subgrad 1139.953013	dualbound = 3690185.872821, lowerbound=1298256.872821, norm of subgrad 36.115013	 stepsize= 1.000000 
-dualbound = 3690242.789780, lowerbound=1294880.789780, norm of subgrad 1138.454562	dualbound = 3690242.789780, lowerbound=1294880.789780, norm of subgrad 35.424807	 stepsize= 1.000000 
-dualbound = 3690300.639846, lowerbound=1298913.639846, norm of subgrad 1140.229643	dualbound = 3690300.639846, lowerbound=1298913.639846, norm of subgrad 35.606882	 stepsize= 1.000000 
-dualbound = 3690382.186634, lowerbound=1299529.186634, norm of subgrad 1140.514001	dualbound = 3690382.186634, lowerbound=1299529.186634, norm of subgrad 36.394324	 stepsize= 1.000000 
-dualbound = 3690419.494856, lowerbound=1296905.494856, norm of subgrad 1139.335111	dualbound = 3690419.494856, lowerbound=1296905.494856, norm of subgrad 34.875611	 stepsize= 1.000000 
-dualbound = 3690521.733004, lowerbound=1301794.733004, norm of subgrad 1141.487071	dualbound = 3690521.733004, lowerbound=1301794.733004, norm of subgrad 36.058815	 stepsize= 1.000000 
-dualbound = 3690559.921278, lowerbound=1297668.921278, norm of subgrad 1139.673603	dualbound = 3690559.921278, lowerbound=1297668.921278, norm of subgrad 35.002690	 stepsize= 1.000000 
-dualbound = 3690637.048385, lowerbound=1293850.048385, norm of subgrad 1138.028140	dualbound = 3690637.048385, lowerbound=1293850.048385, norm of subgrad 36.539391	 stepsize= 1.000000 
-dualbound = 3690687.272638, lowerbound=1303216.272638, norm of subgrad 1142.130585	dualbound = 3690687.272638, lowerbound=1303216.272638, norm of subgrad 36.003114	 stepsize= 1.000000 
-dualbound = 3690760.725492, lowerbound=1294730.725492, norm of subgrad 1138.373720	dualbound = 3690760.725492, lowerbound=1294730.725492, norm of subgrad 35.177448	 stepsize= 1.000000 
-dualbound = 3690817.834531, lowerbound=1297889.834531, norm of subgrad 1139.798155	dualbound = 3690817.834531, lowerbound=1297889.834531, norm of subgrad 36.153963	 stepsize= 1.000000 
-dualbound = 3690873.095217, lowerbound=1292561.095217, norm of subgrad 1137.453777	dualbound = 3690873.095217, lowerbound=1292561.095217, norm of subgrad 35.989730	 stepsize= 1.000000 
-dualbound = 3690921.401426, lowerbound=1302270.401426, norm of subgrad 1141.690589	dualbound = 3690921.401426, lowerbound=1302270.401426, norm of subgrad 35.146923	 stepsize= 1.000000 
-dualbound = 3691033.455717, lowerbound=1297736.455717, norm of subgrad 1139.740960	dualbound = 3691033.455717, lowerbound=1297736.455717, norm of subgrad 37.216318	 stepsize= 1.000000 
-dualbound = 3691030.338964, lowerbound=1300056.338964, norm of subgrad 1140.759983	dualbound = 3691030.338964, lowerbound=1300056.338964, norm of subgrad 35.691501	 stepsize= 1.000000 
-dualbound = 3691135.171227, lowerbound=1294088.171227, norm of subgrad 1138.138028	dualbound = 3691135.171227, lowerbound=1294088.171227, norm of subgrad 37.078731	 stepsize= 1.000000 
-dualbound = 3691178.981931, lowerbound=1297415.981931, norm of subgrad 1139.589392	dualbound = 3691178.981931, lowerbound=1297415.981931, norm of subgrad 35.941768	 stepsize= 1.000000 
-dualbound = 3691254.712562, lowerbound=1293099.712562, norm of subgrad 1137.698428	dualbound = 3691254.712562, lowerbound=1293099.712562, norm of subgrad 36.520277	 stepsize= 1.000000 
-dualbound = 3691336.637858, lowerbound=1301021.637858, norm of subgrad 1141.171169	dualbound = 3691336.637858, lowerbound=1301021.637858, norm of subgrad 36.495552	 stepsize= 1.000000 
-dualbound = 3691385.262554, lowerbound=1300618.262554, norm of subgrad 1140.982586	dualbound = 3691385.262554, lowerbound=1300618.262554, norm of subgrad 35.659847	 stepsize= 1.000000 
-dualbound = 3691438.829931, lowerbound=1297880.829931, norm of subgrad 1139.790257	dualbound = 3691438.829931, lowerbound=1297880.829931, norm of subgrad 35.980097	 stepsize= 1.000000 
-dualbound = 3691514.478771, lowerbound=1296647.478771, norm of subgrad 1139.259619	dualbound = 3691514.478771, lowerbound=1296647.478771, norm of subgrad 36.614872	 stepsize= 1.000000 
-dualbound = 3691550.472486, lowerbound=1297248.472486, norm of subgrad 1139.513261	dualbound = 3691550.472486, lowerbound=1297248.472486, norm of subgrad 35.749038	 stepsize= 1.000000 
-dualbound = 3691655.880150, lowerbound=1291592.880150, norm of subgrad 1137.016218	dualbound = 3691655.880150, lowerbound=1291592.880150, norm of subgrad 36.309884	 stepsize= 1.000000 
-dualbound = 3691701.149432, lowerbound=1303952.149432, norm of subgrad 1142.455754	dualbound = 3691701.149432, lowerbound=1303952.149432, norm of subgrad 36.031504	 stepsize= 1.000000 
-dualbound = 3691788.550357, lowerbound=1297685.550357, norm of subgrad 1139.719505	dualbound = 3691788.550357, lowerbound=1297685.550357, norm of subgrad 36.910716	 stepsize= 1.000000 
-dualbound = 3691836.112645, lowerbound=1296205.112645, norm of subgrad 1139.072918	dualbound = 3691836.112645, lowerbound=1296205.112645, norm of subgrad 36.463163	 stepsize= 1.000000 
-dualbound = 3691896.594556, lowerbound=1296296.594556, norm of subgrad 1139.095516	dualbound = 3691896.594556, lowerbound=1296296.594556, norm of subgrad 36.089914	 stepsize= 1.000000 
-dualbound = 3691970.370312, lowerbound=1299183.370312, norm of subgrad 1140.371155	dualbound = 3691970.370312, lowerbound=1299183.370312, norm of subgrad 36.561944	 stepsize= 1.000000 
-dualbound = 3692037.691530, lowerbound=1297101.691530, norm of subgrad 1139.432618	dualbound = 3692037.691530, lowerbound=1297101.691530, norm of subgrad 35.669612	 stepsize= 1.000000 
-dualbound = 3692115.299781, lowerbound=1296650.299781, norm of subgrad 1139.249446	dualbound = 3692115.299781, lowerbound=1296650.299781, norm of subgrad 36.285097	 stepsize= 1.000000 
-dualbound = 3692145.173666, lowerbound=1301546.173666, norm of subgrad 1141.417616	dualbound = 3692145.173666, lowerbound=1301546.173666, norm of subgrad 36.302533	 stepsize= 1.000000 
-dualbound = 3692207.377440, lowerbound=1299750.377440, norm of subgrad 1140.601761	dualbound = 3692207.377440, lowerbound=1299750.377440, norm of subgrad 35.835789	 stepsize= 1.000000 
-dualbound = 3692309.937871, lowerbound=1298230.937871, norm of subgrad 1139.905232	dualbound = 3692309.937871, lowerbound=1298230.937871, norm of subgrad 35.433888	 stepsize= 1.000000 
-dualbound = 3692358.838507, lowerbound=1296890.838507, norm of subgrad 1139.321657	dualbound = 3692358.838507, lowerbound=1296890.838507, norm of subgrad 34.812363	 stepsize= 1.000000 
-dualbound = 3692420.568397, lowerbound=1299602.568397, norm of subgrad 1140.539157	dualbound = 3692420.568397, lowerbound=1299602.568397, norm of subgrad 35.898884	 stepsize= 1.000000 
-dualbound = 3692481.432425, lowerbound=1297773.432425, norm of subgrad 1139.732176	dualbound = 3692481.432425, lowerbound=1297773.432425, norm of subgrad 35.733234	 stepsize= 1.000000 
-dualbound = 3692541.398959, lowerbound=1294073.398959, norm of subgrad 1138.115723	dualbound = 3692541.398959, lowerbound=1294073.398959, norm of subgrad 35.971746	 stepsize= 1.000000 
-dualbound = 3692596.533861, lowerbound=1301245.533861, norm of subgrad 1141.258312	dualbound = 3692596.533861, lowerbound=1301245.533861, norm of subgrad 35.778973	 stepsize= 1.000000 
-dualbound = 3692680.203008, lowerbound=1302780.203008, norm of subgrad 1141.944921	dualbound = 3692680.203008, lowerbound=1302780.203008, norm of subgrad 36.628802	 stepsize= 1.000000 
-dualbound = 3692721.507319, lowerbound=1290001.507319, norm of subgrad 1136.355801	dualbound = 3692721.507319, lowerbound=1290001.507319, norm of subgrad 36.664756	 stepsize= 1.000000 
-dualbound = 3692792.250404, lowerbound=1300690.250404, norm of subgrad 1140.997480	dualbound = 3692792.250404, lowerbound=1300690.250404, norm of subgrad 35.436465	 stepsize= 1.000000 
-dualbound = 3692882.457003, lowerbound=1298183.457003, norm of subgrad 1139.907214	dualbound = 3692882.457003, lowerbound=1298183.457003, norm of subgrad 35.988979	 stepsize= 1.000000 
-dualbound = 3692947.357202, lowerbound=1302527.357202, norm of subgrad 1141.827201	dualbound = 3692947.357202, lowerbound=1302527.357202, norm of subgrad 36.151075	 stepsize= 1.000000 
-dualbound = 3692979.344611, lowerbound=1296991.344611, norm of subgrad 1139.390339	dualbound = 3692979.344611, lowerbound=1296991.344611, norm of subgrad 35.369300	 stepsize= 1.000000 
-dualbound = 3693060.694746, lowerbound=1297439.694746, norm of subgrad 1139.590143	dualbound = 3693060.694746, lowerbound=1297439.694746, norm of subgrad 36.157297	 stepsize= 1.000000 
-dualbound = 3693125.793436, lowerbound=1294611.793436, norm of subgrad 1138.346078	dualbound = 3693125.793436, lowerbound=1294611.793436, norm of subgrad 35.848273	 stepsize= 1.000000 
-dualbound = 3693189.186073, lowerbound=1304284.186073, norm of subgrad 1142.581370	dualbound = 3693189.186073, lowerbound=1304284.186073, norm of subgrad 35.656593	 stepsize= 1.000000 
-dualbound = 3693254.005116, lowerbound=1292808.005116, norm of subgrad 1137.541210	dualbound = 3693254.005116, lowerbound=1292808.005116, norm of subgrad 35.451644	 stepsize= 1.000000 
-dualbound = 3693325.433992, lowerbound=1298014.433992, norm of subgrad 1139.835266	dualbound = 3693325.433992, lowerbound=1298014.433992, norm of subgrad 35.797051	 stepsize= 1.000000 
-dualbound = 3693369.027633, lowerbound=1297788.027633, norm of subgrad 1139.722785	dualbound = 3693369.027633, lowerbound=1297788.027633, norm of subgrad 34.979903	 stepsize= 1.000000 
-dualbound = 3693450.757213, lowerbound=1298504.757213, norm of subgrad 1140.045507	dualbound = 3693450.757213, lowerbound=1298504.757213, norm of subgrad 35.787282	 stepsize= 1.000000 
-dualbound = 3693496.502536, lowerbound=1295839.502536, norm of subgrad 1138.923835	dualbound = 3693496.502536, lowerbound=1295839.502536, norm of subgrad 36.793278	 stepsize= 1.000000 
-dualbound = 3693560.528448, lowerbound=1296021.528448, norm of subgrad 1138.987940	dualbound = 3693560.528448, lowerbound=1296021.528448, norm of subgrad 36.551688	 stepsize= 1.000000 
-dualbound = 3693595.216181, lowerbound=1293849.216181, norm of subgrad 1138.029972	dualbound = 3693595.216181, lowerbound=1293849.216181, norm of subgrad 36.023433	 stepsize= 1.000000 
-dualbound = 3693716.017277, lowerbound=1296358.017277, norm of subgrad 1139.134328	dualbound = 3693716.017277, lowerbound=1296358.017277, norm of subgrad 37.280036	 stepsize= 1.000000 
-dualbound = 3693730.387040, lowerbound=1300871.387040, norm of subgrad 1141.106650	dualbound = 3693730.387040, lowerbound=1300871.387040, norm of subgrad 35.600137	 stepsize= 1.000000 
-dualbound = 3693831.811554, lowerbound=1296528.811554, norm of subgrad 1139.192614	dualbound = 3693831.811554, lowerbound=1296528.811554, norm of subgrad 36.502391	 stepsize= 1.000000 
-dualbound = 3693883.006398, lowerbound=1297864.006398, norm of subgrad 1139.762697	dualbound = 3693883.006398, lowerbound=1297864.006398, norm of subgrad 35.301485	 stepsize= 1.000000 
-dualbound = 3693959.141482, lowerbound=1296487.141482, norm of subgrad 1139.177397	dualbound = 3693959.141482, lowerbound=1296487.141482, norm of subgrad 36.251001	 stepsize= 1.000000 
-dualbound = 3694012.740402, lowerbound=1299746.740402, norm of subgrad 1140.600605	dualbound = 3694012.740402, lowerbound=1299746.740402, norm of subgrad 35.729524	 stepsize= 1.000000 
-dualbound = 3694087.734683, lowerbound=1301886.734683, norm of subgrad 1141.532187	dualbound = 3694087.734683, lowerbound=1301886.734683, norm of subgrad 35.832866	 stepsize= 1.000000 
-dualbound = 3694141.896678, lowerbound=1295644.896678, norm of subgrad 1138.785272	dualbound = 3694141.896678, lowerbound=1295644.896678, norm of subgrad 35.230129	 stepsize= 1.000000 
-dualbound = 3694211.157732, lowerbound=1301102.157732, norm of subgrad 1141.228355	dualbound = 3694211.157732, lowerbound=1301102.157732, norm of subgrad 37.003528	 stepsize= 1.000000 
-dualbound = 3694247.868154, lowerbound=1299795.868154, norm of subgrad 1140.638360	dualbound = 3694247.868154, lowerbound=1299795.868154, norm of subgrad 36.009866	 stepsize= 1.000000 
-dualbound = 3694335.946678, lowerbound=1297983.946678, norm of subgrad 1139.826279	dualbound = 3694335.946678, lowerbound=1297983.946678, norm of subgrad 36.167368	 stepsize= 1.000000 
-dualbound = 3694401.390919, lowerbound=1302024.390919, norm of subgrad 1141.599488	dualbound = 3694401.390919, lowerbound=1302024.390919, norm of subgrad 35.922754	 stepsize= 1.000000 
-dualbound = 3694476.433925, lowerbound=1301809.433925, norm of subgrad 1141.506651	dualbound = 3694476.433925, lowerbound=1301809.433925, norm of subgrad 36.097687	 stepsize= 1.000000 
-dualbound = 3694512.007607, lowerbound=1294317.007607, norm of subgrad 1138.223619	dualbound = 3694512.007607, lowerbound=1294317.007607, norm of subgrad 35.659132	 stepsize= 1.000000 
-dualbound = 3694593.752306, lowerbound=1299107.752306, norm of subgrad 1140.334491	dualbound = 3694593.752306, lowerbound=1299107.752306, norm of subgrad 36.561519	 stepsize= 1.000000 
-dualbound = 3694653.364879, lowerbound=1299802.364879, norm of subgrad 1140.620605	dualbound = 3694653.364879, lowerbound=1299802.364879, norm of subgrad 35.673696	 stepsize= 1.000000 
-dualbound = 3694718.595176, lowerbound=1297649.595176, norm of subgrad 1139.693202	dualbound = 3694718.595176, lowerbound=1297649.595176, norm of subgrad 36.279888	 stepsize= 1.000000 
-dualbound = 3694777.272162, lowerbound=1295445.272162, norm of subgrad 1138.730553	dualbound = 3694777.272162, lowerbound=1295445.272162, norm of subgrad 36.341120	 stepsize= 1.000000 
-dualbound = 3694809.559787, lowerbound=1298902.559787, norm of subgrad 1140.246710	dualbound = 3694809.559787, lowerbound=1298902.559787, norm of subgrad 35.948402	 stepsize= 1.000000 
-dualbound = 3694915.667835, lowerbound=1295073.667835, norm of subgrad 1138.544539	dualbound = 3694915.667835, lowerbound=1295073.667835, norm of subgrad 36.278203	 stepsize= 1.000000 
-dualbound = 3694964.756384, lowerbound=1300588.756384, norm of subgrad 1140.967027	dualbound = 3694964.756384, lowerbound=1300588.756384, norm of subgrad 35.582138	 stepsize= 1.000000 
-dualbound = 3695042.968334, lowerbound=1299318.968334, norm of subgrad 1140.389832	dualbound = 3695042.968334, lowerbound=1299318.968334, norm of subgrad 35.330043	 stepsize= 1.000000 
-dualbound = 3695108.454304, lowerbound=1293593.454304, norm of subgrad 1137.911444	dualbound = 3695108.454304, lowerbound=1293593.454304, norm of subgrad 36.255840	 stepsize= 1.000000 
-dualbound = 3695169.893755, lowerbound=1304950.893755, norm of subgrad 1142.865650	dualbound = 3695169.893755, lowerbound=1304950.893755, norm of subgrad 35.389821	 stepsize= 1.000000 
-dualbound = 3695248.044970, lowerbound=1301011.044970, norm of subgrad 1141.150755	dualbound = 3695248.044970, lowerbound=1301011.044970, norm of subgrad 35.946505	 stepsize= 1.000000 
-dualbound = 3695303.537457, lowerbound=1299782.537457, norm of subgrad 1140.607092	dualbound = 3695303.537457, lowerbound=1299782.537457, norm of subgrad 35.461141	 stepsize= 1.000000 
-dualbound = 3695362.600445, lowerbound=1302310.600445, norm of subgrad 1141.701187	dualbound = 3695362.600445, lowerbound=1302310.600445, norm of subgrad 35.072254	 stepsize= 1.000000 
-dualbound = 3695427.950930, lowerbound=1292445.950930, norm of subgrad 1137.379423	dualbound = 3695427.950930, lowerbound=1292445.950930, norm of subgrad 35.374433	 stepsize= 1.000000 
-dualbound = 3695496.139179, lowerbound=1299921.139179, norm of subgrad 1140.667848	dualbound = 3695496.139179, lowerbound=1299921.139179, norm of subgrad 35.639700	 stepsize= 1.000000 
-dualbound = 3695548.250392, lowerbound=1300789.250392, norm of subgrad 1141.059705	dualbound = 3695548.250392, lowerbound=1300789.250392, norm of subgrad 35.778642	 stepsize= 1.000000 
-dualbound = 3695623.715979, lowerbound=1296136.715979, norm of subgrad 1139.009094	dualbound = 3695623.715979, lowerbound=1296136.715979, norm of subgrad 35.783594	 stepsize= 1.000000 
-dualbound = 3695665.237604, lowerbound=1292714.237604, norm of subgrad 1137.509225	dualbound = 3695665.237604, lowerbound=1292714.237604, norm of subgrad 35.419227	 stepsize= 1.000000 
-dualbound = 3695759.037562, lowerbound=1302433.037562, norm of subgrad 1141.790277	dualbound = 3695759.037562, lowerbound=1302433.037562, norm of subgrad 36.685146	 stepsize= 1.000000 
-dualbound = 3695794.417608, lowerbound=1301481.417608, norm of subgrad 1141.386621	dualbound = 3695794.417608, lowerbound=1301481.417608, norm of subgrad 36.295730	 stepsize= 1.000000 
-dualbound = 3695856.477220, lowerbound=1294298.477220, norm of subgrad 1138.213283	dualbound = 3695856.477220, lowerbound=1294298.477220, norm of subgrad 35.959138	 stepsize= 1.000000 
-dualbound = 3695944.833510, lowerbound=1294357.833510, norm of subgrad 1138.227496	dualbound = 3695944.833510, lowerbound=1294357.833510, norm of subgrad 35.949357	 stepsize= 1.000000 
-dualbound = 3696009.228146, lowerbound=1305976.228146, norm of subgrad 1143.319390	dualbound = 3696009.228146, lowerbound=1305976.228146, norm of subgrad 35.600486	 stepsize= 1.000000 
-dualbound = 3696054.657663, lowerbound=1293146.657663, norm of subgrad 1137.736199	dualbound = 3696054.657663, lowerbound=1293146.657663, norm of subgrad 36.639180	 stepsize= 1.000000 
-dualbound = 3696120.186914, lowerbound=1301539.186914, norm of subgrad 1141.380387	dualbound = 3696120.186914, lowerbound=1301539.186914, norm of subgrad 35.714552	 stepsize= 1.000000 
-dualbound = 3696192.856055, lowerbound=1299264.856055, norm of subgrad 1140.407320	dualbound = 3696192.856055, lowerbound=1299264.856055, norm of subgrad 36.560486	 stepsize= 1.000000 
-dualbound = 3696259.525082, lowerbound=1306388.525082, norm of subgrad 1143.505367	dualbound = 3696259.525082, lowerbound=1306388.525082, norm of subgrad 35.814369	 stepsize= 1.000000 
-dualbound = 3696316.955022, lowerbound=1293274.955022, norm of subgrad 1137.767531	dualbound = 3696316.955022, lowerbound=1293274.955022, norm of subgrad 36.019855	 stepsize= 1.000000 
-dualbound = 3696387.376448, lowerbound=1295596.376448, norm of subgrad 1138.804363	dualbound = 3696387.376448, lowerbound=1295596.376448, norm of subgrad 36.734472	 stepsize= 1.000000 
-dualbound = 3696429.121379, lowerbound=1298420.121379, norm of subgrad 1140.078121	dualbound = 3696429.121379, lowerbound=1298420.121379, norm of subgrad 37.413165	 stepsize= 1.000000 
-dualbound = 3696510.415943, lowerbound=1296924.415943, norm of subgrad 1139.376328	dualbound = 3696510.415943, lowerbound=1296924.415943, norm of subgrad 36.541683	 stepsize= 1.000000 
-dualbound = 3696570.180159, lowerbound=1296657.180160, norm of subgrad 1139.251588	dualbound = 3696570.180159, lowerbound=1296657.180160, norm of subgrad 36.010613	 stepsize= 1.000000 
-dualbound = 3696659.636796, lowerbound=1299229.636796, norm of subgrad 1140.376094	dualbound = 3696659.636796, lowerbound=1299229.636796, norm of subgrad 36.296785	 stepsize= 1.000000 
-dualbound = 3696704.108669, lowerbound=1298715.108669, norm of subgrad 1140.159686	dualbound = 3696704.108669, lowerbound=1298715.108669, norm of subgrad 35.964870	 stepsize= 1.000000 
-dualbound = 3696771.657240, lowerbound=1300538.657240, norm of subgrad 1140.972242	dualbound = 3696771.657240, lowerbound=1300538.657240, norm of subgrad 36.695348	 stepsize= 1.000000 
-dualbound = 3696835.338490, lowerbound=1299085.338490, norm of subgrad 1140.311509	dualbound = 3696835.338490, lowerbound=1299085.338490, norm of subgrad 35.898207	 stepsize= 1.000000 
-dualbound = 3696915.442395, lowerbound=1298992.442395, norm of subgrad 1140.266829	dualbound = 3696915.442395, lowerbound=1298992.442395, norm of subgrad 36.001443	 stepsize= 1.000000 
-dualbound = 3696977.377458, lowerbound=1298093.377458, norm of subgrad 1139.857174	dualbound = 3696977.377458, lowerbound=1298093.377458, norm of subgrad 35.255284	 stepsize= 1.000000 
-dualbound = 3697035.406719, lowerbound=1299639.406719, norm of subgrad 1140.564512	dualbound = 3697035.406719, lowerbound=1299639.406719, norm of subgrad 36.139027	 stepsize= 1.000000 
-dualbound = 3697082.702105, lowerbound=1300828.702105, norm of subgrad 1141.072610	dualbound = 3697082.702105, lowerbound=1300828.702105, norm of subgrad 35.570991	 stepsize= 1.000000 
-dualbound = 3697161.761073, lowerbound=1295112.761073, norm of subgrad 1138.556877	dualbound = 3697161.761073, lowerbound=1295112.761073, norm of subgrad 35.749951	 stepsize= 1.000000 
-dualbound = 3697230.342938, lowerbound=1292506.342938, norm of subgrad 1137.421796	dualbound = 3697230.342938, lowerbound=1292506.342938, norm of subgrad 35.924669	 stepsize= 1.000000 
-dualbound = 3697298.341606, lowerbound=1305371.341606, norm of subgrad 1143.056141	dualbound = 3697298.341606, lowerbound=1305371.341606, norm of subgrad 35.693118	 stepsize= 1.000000 
-dualbound = 3697346.246981, lowerbound=1296583.246981, norm of subgrad 1139.202461	dualbound = 3697346.246981, lowerbound=1296583.246981, norm of subgrad 35.311547	 stepsize= 1.000000 
-dualbound = 3697414.843489, lowerbound=1299504.843489, norm of subgrad 1140.492369	dualbound = 3697414.843489, lowerbound=1299504.843489, norm of subgrad 35.869158	 stepsize= 1.000000 
-dualbound = 3697466.722930, lowerbound=1304013.722930, norm of subgrad 1142.451191	dualbound = 3697466.722930, lowerbound=1304013.722930, norm of subgrad 35.112383	 stepsize= 1.000000 
-dualbound = 3697559.838077, lowerbound=1298851.838077, norm of subgrad 1140.166583	dualbound = 3697559.838077, lowerbound=1298851.838077, norm of subgrad 34.944458	 stepsize= 1.000000 
-dualbound = 3697612.229865, lowerbound=1301203.229865, norm of subgrad 1141.213052	dualbound = 3697612.229865, lowerbound=1301203.229865, norm of subgrad 34.876809	 stepsize= 1.000000 
-dualbound = 3697692.405683, lowerbound=1297579.405683, norm of subgrad 1139.657144	dualbound = 3697692.405683, lowerbound=1297579.405683, norm of subgrad 36.320460	 stepsize= 1.000000 
-dualbound = 3697712.913095, lowerbound=1295458.913095, norm of subgrad 1138.753227	dualbound = 3697712.913095, lowerbound=1295458.913095, norm of subgrad 36.338787	 stepsize= 1.000000 
-dualbound = 3697785.629616, lowerbound=1301357.629616, norm of subgrad 1141.321440	dualbound = 3697785.629616, lowerbound=1301357.629616, norm of subgrad 36.465278	 stepsize= 1.000000 
-dualbound = 3697874.278072, lowerbound=1299532.278072, norm of subgrad 1140.489929	dualbound = 3697874.278072, lowerbound=1299532.278072, norm of subgrad 35.688212	 stepsize= 1.000000 
-dualbound = 3697945.607125, lowerbound=1303534.607125, norm of subgrad 1142.280442	dualbound = 3697945.607125, lowerbound=1303534.607125, norm of subgrad 36.624159	 stepsize= 1.000000 
-dualbound = 3697969.468904, lowerbound=1297845.468904, norm of subgrad 1139.786589	dualbound = 3697969.468904, lowerbound=1297845.468904, norm of subgrad 35.942479	 stepsize= 1.000000 
-dualbound = 3698068.223771, lowerbound=1302867.223771, norm of subgrad 1142.004038	dualbound = 3698068.223771, lowerbound=1302867.223771, norm of subgrad 37.480060	 stepsize= 1.000000 
-dualbound = 3698095.843470, lowerbound=1300537.843470, norm of subgrad 1140.960930	dualbound = 3698095.843470, lowerbound=1300537.843470, norm of subgrad 35.799716	 stepsize= 1.000000 
-dualbound = 3698192.353336, lowerbound=1299695.353336, norm of subgrad 1140.562297	dualbound = 3698192.353336, lowerbound=1299695.353336, norm of subgrad 35.826106	 stepsize= 1.000000 
-dualbound = 3698277.846210, lowerbound=1296436.846210, norm of subgrad 1139.153127	dualbound = 3698277.846210, lowerbound=1296436.846210, norm of subgrad 36.311057	 stepsize= 1.000000 
-dualbound = 3698307.558684, lowerbound=1298525.558684, norm of subgrad 1140.044104	dualbound = 3698307.558684, lowerbound=1298525.558684, norm of subgrad 34.708968	 stepsize= 1.000000 
-dualbound = 3698394.020648, lowerbound=1303981.020648, norm of subgrad 1142.434690	dualbound = 3698394.020648, lowerbound=1303981.020648, norm of subgrad 35.531141	 stepsize= 1.000000 
-dualbound = 3698452.471335, lowerbound=1296377.471335, norm of subgrad 1139.114775	dualbound = 3698452.471335, lowerbound=1296377.471335, norm of subgrad 35.545052	 stepsize= 1.000000 
-dualbound = 3698482.525504, lowerbound=1300111.525505, norm of subgrad 1140.737273	dualbound = 3698482.525504, lowerbound=1300111.525505, norm of subgrad 34.641798	 stepsize= 1.000000 
-dualbound = 3698579.906948, lowerbound=1294693.906948, norm of subgrad 1138.380388	dualbound = 3698579.906948, lowerbound=1294693.906948, norm of subgrad 36.240605	 stepsize= 1.000000 
-dualbound = 3698633.178931, lowerbound=1301962.178931, norm of subgrad 1141.570926	dualbound = 3698633.178931, lowerbound=1301962.178931, norm of subgrad 35.710950	 stepsize= 1.000000 
-dualbound = 3698706.640151, lowerbound=1295062.640151, norm of subgrad 1138.548040	dualbound = 3698706.640151, lowerbound=1295062.640151, norm of subgrad 36.089628	 stepsize= 1.000000 
-dualbound = 3698749.700270, lowerbound=1299340.700270, norm of subgrad 1140.421720	dualbound = 3698749.700270, lowerbound=1299340.700270, norm of subgrad 35.553623	 stepsize= 1.000000 
-dualbound = 3698836.932531, lowerbound=1292611.932531, norm of subgrad 1137.456343	dualbound = 3698836.932531, lowerbound=1292611.932531, norm of subgrad 35.808271	 stepsize= 1.000000 
-dualbound = 3698882.396969, lowerbound=1303778.396969, norm of subgrad 1142.398528	dualbound = 3698882.396969, lowerbound=1303778.396969, norm of subgrad 36.626008	 stepsize= 1.000000 
-dualbound = 3698943.806524, lowerbound=1301352.806524, norm of subgrad 1141.316699	dualbound = 3698943.806524, lowerbound=1301352.806524, norm of subgrad 36.227194	 stepsize= 1.000000 
-dualbound = 3698987.606464, lowerbound=1300534.606464, norm of subgrad 1140.963017	dualbound = 3698987.606464, lowerbound=1300534.606464, norm of subgrad 36.135854	 stepsize= 1.000000 
-dualbound = 3699081.505573, lowerbound=1300452.505573, norm of subgrad 1140.918273	dualbound = 3699081.505573, lowerbound=1300452.505573, norm of subgrad 36.549954	 stepsize= 1.000000 
-dualbound = 3699129.980361, lowerbound=1295344.980361, norm of subgrad 1138.694419	dualbound = 3699129.980361, lowerbound=1295344.980361, norm of subgrad 36.448248	 stepsize= 1.000000 
-dualbound = 3699185.646452, lowerbound=1297202.646452, norm of subgrad 1139.513776	dualbound = 3699185.646452, lowerbound=1297202.646452, norm of subgrad 36.669689	 stepsize= 1.000000 
-dualbound = 3699243.200476, lowerbound=1303619.200476, norm of subgrad 1142.305651	dualbound = 3699243.200476, lowerbound=1303619.200476, norm of subgrad 36.063195	 stepsize= 1.000000 
-dualbound = 3699314.618627, lowerbound=1297955.618627, norm of subgrad 1139.834031	dualbound = 3699314.618627, lowerbound=1297955.618627, norm of subgrad 36.570728	 stepsize= 1.000000 
-dualbound = 3699382.474208, lowerbound=1299915.474208, norm of subgrad 1140.690350	dualbound = 3699382.474208, lowerbound=1299915.474208, norm of subgrad 36.426029	 stepsize= 1.000000 
-dualbound = 3699437.441568, lowerbound=1287460.441568, norm of subgrad 1135.244221	dualbound = 3699437.441568, lowerbound=1287460.441568, norm of subgrad 37.067066	 stepsize= 1.000000 
-dualbound = 3699494.430073, lowerbound=1304855.430073, norm of subgrad 1142.847510	dualbound = 3699494.430073, lowerbound=1304855.430073, norm of subgrad 36.083078	 stepsize= 1.000000 
-dualbound = 3699582.256341, lowerbound=1290645.256341, norm of subgrad 1136.613504	dualbound = 3699582.256341, lowerbound=1290645.256341, norm of subgrad 36.507893	 stepsize= 1.000000 
-dualbound = 3699633.870761, lowerbound=1300774.870761, norm of subgrad 1141.078819	dualbound = 3699633.870761, lowerbound=1300774.870761, norm of subgrad 36.573411	 stepsize= 1.000000 
-dualbound = 3699697.336549, lowerbound=1301185.336549, norm of subgrad 1141.256035	dualbound = 3699697.336549, lowerbound=1301185.336549, norm of subgrad 36.653319	 stepsize= 1.000000 
-dualbound = 3699751.881455, lowerbound=1298024.881455, norm of subgrad 1139.849499	dualbound = 3699751.881455, lowerbound=1298024.881455, norm of subgrad 35.868439	 stepsize= 1.000000 
-dualbound = 3699845.805470, lowerbound=1300579.805470, norm of subgrad 1140.953463	dualbound = 3699845.805470, lowerbound=1300579.805470, norm of subgrad 35.901588	 stepsize= 1.000000 
-dualbound = 3699914.665110, lowerbound=1296034.665110, norm of subgrad 1138.962100	dualbound = 3699914.665110, lowerbound=1296034.665110, norm of subgrad 35.621056	 stepsize= 1.000000 
-dualbound = 3699964.567376, lowerbound=1300668.567376, norm of subgrad 1141.002878	dualbound = 3699964.567376, lowerbound=1300668.567376, norm of subgrad 35.621654	 stepsize= 1.000000 
-dualbound = 3700052.061093, lowerbound=1294880.061093, norm of subgrad 1138.449850	dualbound = 3700052.061093, lowerbound=1294880.061093, norm of subgrad 35.714055	 stepsize= 1.000000 
-dualbound = 3700087.451680, lowerbound=1300695.451680, norm of subgrad 1141.019917	dualbound = 3700087.451680, lowerbound=1300695.451680, norm of subgrad 35.586382	 stepsize= 1.000000 
-dualbound = 3700178.691250, lowerbound=1303237.691250, norm of subgrad 1142.122012	dualbound = 3700178.691250, lowerbound=1303237.691250, norm of subgrad 36.003327	 stepsize= 1.000000 
-dualbound = 3700237.128608, lowerbound=1301587.128608, norm of subgrad 1141.425481	dualbound = 3700237.128608, lowerbound=1301587.128608, norm of subgrad 36.379079	 stepsize= 1.000000 
-dualbound = 3700282.761024, lowerbound=1299729.761024, norm of subgrad 1140.615518	dualbound = 3700282.761024, lowerbound=1299729.761024, norm of subgrad 36.326745	 stepsize= 1.000000 
-dualbound = 3700366.013186, lowerbound=1299577.013186, norm of subgrad 1140.514802	dualbound = 3700366.013186, lowerbound=1299577.013186, norm of subgrad 35.780612	 stepsize= 1.000000 
-dualbound = 3700434.701231, lowerbound=1305778.701231, norm of subgrad 1143.234316	dualbound = 3700434.701231, lowerbound=1305778.701231, norm of subgrad 35.702774	 stepsize= 1.000000 
-dualbound = 3700501.923942, lowerbound=1297339.923942, norm of subgrad 1139.540225	dualbound = 3700501.923942, lowerbound=1297339.923942, norm of subgrad 35.766223	 stepsize= 1.000000 
-dualbound = 3700550.556237, lowerbound=1296814.556237, norm of subgrad 1139.311440	dualbound = 3700550.556237, lowerbound=1296814.556237, norm of subgrad 35.561669	 stepsize= 1.000000 
-dualbound = 3700630.891353, lowerbound=1299553.891353, norm of subgrad 1140.507296	dualbound = 3700630.891353, lowerbound=1299553.891353, norm of subgrad 35.823667	 stepsize= 1.000000 
-dualbound = 3700673.639386, lowerbound=1298894.639386, norm of subgrad 1140.233590	dualbound = 3700673.639386, lowerbound=1298894.639386, norm of subgrad 35.787540	 stepsize= 1.000000 
-dualbound = 3700757.703510, lowerbound=1294981.703510, norm of subgrad 1138.521719	dualbound = 3700757.703510, lowerbound=1294981.703510, norm of subgrad 36.524843	 stepsize= 1.000000 
-dualbound = 3700796.996362, lowerbound=1305757.996362, norm of subgrad 1143.239693	dualbound = 3700796.996362, lowerbound=1305757.996362, norm of subgrad 35.753222	 stepsize= 1.000000 
-dualbound = 3700873.267872, lowerbound=1296740.267872, norm of subgrad 1139.257332	dualbound = 3700873.267872, lowerbound=1296740.267872, norm of subgrad 35.260055	 stepsize= 1.000000 
-dualbound = 3700945.200198, lowerbound=1299127.200198, norm of subgrad 1140.313203	dualbound = 3700945.200198, lowerbound=1299127.200198, norm of subgrad 35.481436	 stepsize= 1.000000 
-dualbound = 3701000.860196, lowerbound=1293209.860196, norm of subgrad 1137.736288	dualbound = 3701000.860196, lowerbound=1293209.860196, norm of subgrad 35.911836	 stepsize= 1.000000 
-dualbound = 3701046.303138, lowerbound=1298331.303138, norm of subgrad 1139.987414	dualbound = 3701046.303138, lowerbound=1298331.303138, norm of subgrad 35.853074	 stepsize= 1.000000 
-dualbound = 3701131.759283, lowerbound=1302287.759283, norm of subgrad 1141.702570	dualbound = 3701131.759283, lowerbound=1302287.759283, norm of subgrad 35.811397	 stepsize= 1.000000 
-dualbound = 3701190.677724, lowerbound=1296206.677724, norm of subgrad 1139.070532	dualbound = 3701190.677724, lowerbound=1296206.677724, norm of subgrad 36.522848	 stepsize= 1.000000 
-dualbound = 3701258.694492, lowerbound=1302483.694492, norm of subgrad 1141.801951	dualbound = 3701258.694492, lowerbound=1302483.694492, norm of subgrad 36.000233	 stepsize= 1.000000 
-dualbound = 3701316.567944, lowerbound=1298620.567944, norm of subgrad 1140.135329	dualbound = 3701316.567944, lowerbound=1298620.567944, norm of subgrad 36.686148	 stepsize= 1.000000 
-dualbound = 3701368.231860, lowerbound=1304087.231860, norm of subgrad 1142.518810	dualbound = 3701368.231860, lowerbound=1304087.231860, norm of subgrad 36.244502	 stepsize= 1.000000 
-dualbound = 3701437.227394, lowerbound=1290565.227394, norm of subgrad 1136.573019	dualbound = 3701437.227394, lowerbound=1290565.227394, norm of subgrad 36.083175	 stepsize= 1.000000 
-dualbound = 3701509.074554, lowerbound=1299735.074554, norm of subgrad 1140.619163	dualbound = 3701509.074554, lowerbound=1299735.074554, norm of subgrad 36.726655	 stepsize= 1.000000 
-dualbound = 3701564.838181, lowerbound=1295904.838181, norm of subgrad 1138.907739	dualbound = 3701564.838181, lowerbound=1295904.838181, norm of subgrad 35.521312	 stepsize= 1.000000 
-dualbound = 3701640.517973, lowerbound=1302980.517973, norm of subgrad 1142.028247	dualbound = 3701640.517973, lowerbound=1302980.517973, norm of subgrad 36.382410	 stepsize= 1.000000 
-dualbound = 3701711.717097, lowerbound=1302707.717097, norm of subgrad 1141.899171	dualbound = 3701711.717097, lowerbound=1302707.717097, norm of subgrad 36.016651	 stepsize= 1.000000 
-dualbound = 3701757.562098, lowerbound=1300236.562098, norm of subgrad 1140.824071	dualbound = 3701757.562098, lowerbound=1300236.562098, norm of subgrad 35.900487	 stepsize= 1.000000 
-dualbound = 3701822.835182, lowerbound=1299135.835182, norm of subgrad 1140.343297	dualbound = 3701822.835182, lowerbound=1299135.835182, norm of subgrad 36.225310	 stepsize= 1.000000 
-dualbound = 3701892.485800, lowerbound=1301230.485800, norm of subgrad 1141.256100	dualbound = 3701892.485800, lowerbound=1301230.485800, norm of subgrad 36.119948	 stepsize= 1.000000 
-dualbound = 3701954.060691, lowerbound=1300470.060691, norm of subgrad 1140.938675	dualbound = 3701954.060691, lowerbound=1300470.060691, norm of subgrad 36.504450	 stepsize= 1.000000 
-dualbound = 3702009.136233, lowerbound=1302208.136233, norm of subgrad 1141.693539	dualbound = 3702009.136233, lowerbound=1302208.136233, norm of subgrad 36.208777	 stepsize= 1.000000 
-dualbound = 3702104.590906, lowerbound=1299347.590906, norm of subgrad 1140.434387	dualbound = 3702104.590906, lowerbound=1299347.590906, norm of subgrad 36.584897	 stepsize= 1.000000 
-dualbound = 3702144.528432, lowerbound=1297295.528432, norm of subgrad 1139.533031	dualbound = 3702144.528432, lowerbound=1297295.528432, norm of subgrad 35.776215	 stepsize= 1.000000 
-dualbound = 3702226.896853, lowerbound=1298598.896853, norm of subgrad 1140.092056	dualbound = 3702226.896853, lowerbound=1298598.896853, norm of subgrad 35.963432	 stepsize= 1.000000 
-dualbound = 3702290.326553, lowerbound=1298342.326553, norm of subgrad 1139.987424	dualbound = 3702290.326553, lowerbound=1298342.326553, norm of subgrad 35.950378	 stepsize= 1.000000 
-dualbound = 3702324.826824, lowerbound=1301982.826824, norm of subgrad 1141.566830	dualbound = 3702324.826824, lowerbound=1301982.826824, norm of subgrad 35.021426	 stepsize= 1.000000 
-dualbound = 3702421.059931, lowerbound=1300177.059931, norm of subgrad 1140.770380	dualbound = 3702421.059931, lowerbound=1300177.059931, norm of subgrad 35.724405	 stepsize= 1.000000 
-dualbound = 3702453.087172, lowerbound=1299109.087172, norm of subgrad 1140.347792	dualbound = 3702453.087172, lowerbound=1299109.087172, norm of subgrad 36.277090	 stepsize= 1.000000 
-dualbound = 3702535.216087, lowerbound=1300783.216087, norm of subgrad 1141.051364	dualbound = 3702535.216087, lowerbound=1300783.216087, norm of subgrad 36.015676	 stepsize= 1.000000 
-dualbound = 3702559.447913, lowerbound=1297684.447913, norm of subgrad 1139.704105	dualbound = 3702559.447913, lowerbound=1297684.447913, norm of subgrad 35.570097	 stepsize= 1.000000 
-dualbound = 3702663.192212, lowerbound=1302018.192212, norm of subgrad 1141.596335	dualbound = 3702663.192212, lowerbound=1302018.192212, norm of subgrad 36.438226	 stepsize= 1.000000 
-dualbound = 3702722.914663, lowerbound=1296349.914663, norm of subgrad 1139.079854	dualbound = 3702722.914663, lowerbound=1296349.914663, norm of subgrad 34.824165	 stepsize= 1.000000 
-dualbound = 3702802.225605, lowerbound=1300154.225605, norm of subgrad 1140.795435	dualbound = 3702802.225605, lowerbound=1300154.225605, norm of subgrad 36.596597	 stepsize= 1.000000 
-dualbound = 3702840.160129, lowerbound=1298421.160129, norm of subgrad 1140.051385	dualbound = 3702840.160129, lowerbound=1298421.160129, norm of subgrad 36.523068	 stepsize= 1.000000 
-dualbound = 3702904.001061, lowerbound=1299869.001061, norm of subgrad 1140.665596	dualbound = 3702904.001061, lowerbound=1299869.001061, norm of subgrad 36.233147	 stepsize= 1.000000 
-dualbound = 3702983.583234, lowerbound=1304040.583234, norm of subgrad 1142.497958	dualbound = 3702983.583234, lowerbound=1304040.583234, norm of subgrad 36.613961	 stepsize= 1.000000 
-dualbound = 3703033.579376, lowerbound=1300316.579376, norm of subgrad 1140.874042	dualbound = 3703033.579376, lowerbound=1300316.579376, norm of subgrad 36.427958	 stepsize= 1.000000 
-dualbound = 3703065.024590, lowerbound=1295856.024590, norm of subgrad 1138.928455	dualbound = 3703065.024590, lowerbound=1295856.024590, norm of subgrad 36.516369	 stepsize= 1.000000 
-dualbound = 3703175.051321, lowerbound=1304044.051321, norm of subgrad 1142.486346	dualbound = 3703175.051321, lowerbound=1304044.051321, norm of subgrad 36.620032	 stepsize= 1.000000 
-dualbound = 3703238.410892, lowerbound=1303195.410892, norm of subgrad 1142.117074	dualbound = 3703238.410892, lowerbound=1303195.410892, norm of subgrad 36.046631	 stepsize= 1.000000 
-dualbound = 3703300.128133, lowerbound=1300471.128133, norm of subgrad 1140.905398	dualbound = 3703300.128133, lowerbound=1300471.128133, norm of subgrad 35.436101	 stepsize= 1.000000 
-dualbound = 3703368.552551, lowerbound=1301686.552551, norm of subgrad 1141.453701	dualbound = 3703368.552551, lowerbound=1301686.552551, norm of subgrad 36.033657	 stepsize= 1.000000 
-dualbound = 3703409.703301, lowerbound=1301622.703301, norm of subgrad 1141.440188	dualbound = 3703409.703301, lowerbound=1301622.703301, norm of subgrad 36.113027	 stepsize= 1.000000 
-dualbound = 3703479.766726, lowerbound=1304580.766726, norm of subgrad 1142.715523	dualbound = 3703479.766726, lowerbound=1304580.766726, norm of subgrad 35.889601	 stepsize= 1.000000 
-dualbound = 3703558.727708, lowerbound=1301362.727708, norm of subgrad 1141.306150	dualbound = 3703558.727708, lowerbound=1301362.727708, norm of subgrad 35.999458	 stepsize= 1.000000 
-dualbound = 3703601.170255, lowerbound=1303960.170255, norm of subgrad 1142.436068	dualbound = 3703601.170255, lowerbound=1303960.170255, norm of subgrad 35.248298	 stepsize= 1.000000 
-dualbound = 3703698.033429, lowerbound=1303600.033429, norm of subgrad 1142.282817	dualbound = 3703698.033429, lowerbound=1303600.033429, norm of subgrad 36.150563	 stepsize= 1.000000 
-dualbound = 3703726.655883, lowerbound=1294364.655883, norm of subgrad 1138.237522	dualbound = 3703726.655883, lowerbound=1294364.655883, norm of subgrad 35.335852	 stepsize= 1.000000 
-dualbound = 3703799.124554, lowerbound=1299125.124554, norm of subgrad 1140.335970	dualbound = 3703799.124554, lowerbound=1299125.124554, norm of subgrad 36.241808	 stepsize= 1.000000 
-dualbound = 3703853.019013, lowerbound=1303587.019013, norm of subgrad 1142.264426	dualbound = 3703853.019013, lowerbound=1303587.019013, norm of subgrad 35.141065	 stepsize= 1.000000 
-dualbound = 3703936.017873, lowerbound=1301011.017873, norm of subgrad 1141.131902	dualbound = 3703936.017873, lowerbound=1301011.017873, norm of subgrad 35.411846	 stepsize= 1.000000 
-dualbound = 3703987.925495, lowerbound=1303869.925495, norm of subgrad 1142.378626	dualbound = 3703987.925495, lowerbound=1303869.925495, norm of subgrad 34.798098	 stepsize= 1.000000 
-dualbound = 3704060.673475, lowerbound=1295205.673475, norm of subgrad 1138.581869	dualbound = 3704060.673475, lowerbound=1295205.673475, norm of subgrad 35.153207	 stepsize= 1.000000 
-dualbound = 3704127.194853, lowerbound=1300630.194853, norm of subgrad 1140.963713	dualbound = 3704127.194853, lowerbound=1300630.194853, norm of subgrad 35.135756	 stepsize= 1.000000 
-dualbound = 3704173.783727, lowerbound=1295590.783727, norm of subgrad 1138.756683	dualbound = 3704173.783727, lowerbound=1295590.783727, norm of subgrad 34.965538	 stepsize= 1.000000 
-dualbound = 3704246.376169, lowerbound=1296352.376169, norm of subgrad 1139.095420	dualbound = 3704246.376169, lowerbound=1296352.376169, norm of subgrad 35.476646	 stepsize= 1.000000 
-dualbound = 3704292.967081, lowerbound=1300332.967081, norm of subgrad 1140.877718	dualbound = 3704292.967081, lowerbound=1300332.967081, norm of subgrad 36.271075	 stepsize= 1.000000 
-dualbound = 3704351.690399, lowerbound=1296585.690399, norm of subgrad 1139.225917	dualbound = 3704351.690399, lowerbound=1296585.690399, norm of subgrad 36.176281	 stepsize= 1.000000 
-dualbound = 3704431.417357, lowerbound=1305000.417357, norm of subgrad 1142.920127	dualbound = 3704431.417357, lowerbound=1305000.417357, norm of subgrad 36.684151	 stepsize= 1.000000 
-dualbound = 3704476.088587, lowerbound=1299218.088587, norm of subgrad 1140.384185	dualbound = 3704476.088587, lowerbound=1299218.088587, norm of subgrad 36.092537	 stepsize= 1.000000 
-dualbound = 3704551.228931, lowerbound=1301632.228931, norm of subgrad 1141.441733	dualbound = 3704551.228931, lowerbound=1301632.228931, norm of subgrad 36.498498	 stepsize= 1.000000 
-dualbound = 3704612.840949, lowerbound=1298296.840949, norm of subgrad 1139.982825	dualbound = 3704612.840949, lowerbound=1298296.840949, norm of subgrad 36.408955	 stepsize= 1.000000 
-dualbound = 3704669.734825, lowerbound=1301737.734825, norm of subgrad 1141.471741	dualbound = 3704669.734825, lowerbound=1301737.734825, norm of subgrad 35.733652	 stepsize= 1.000000 
-dualbound = 3704744.726958, lowerbound=1298304.726958, norm of subgrad 1139.967862	dualbound = 3704744.726958, lowerbound=1298304.726958, norm of subgrad 36.013777	 stepsize= 1.000000 
-dualbound = 3704805.900656, lowerbound=1302067.900656, norm of subgrad 1141.618982	dualbound = 3704805.900656, lowerbound=1302067.900656, norm of subgrad 35.877203	 stepsize= 1.000000 
-dualbound = 3704866.002524, lowerbound=1300935.002524, norm of subgrad 1141.144164	dualbound = 3704866.002524, lowerbound=1300935.002524, norm of subgrad 36.539046	 stepsize= 1.000000 
-dualbound = 3704896.748505, lowerbound=1299159.748505, norm of subgrad 1140.346328	dualbound = 3704896.748505, lowerbound=1299159.748505, norm of subgrad 35.506985	 stepsize= 1.000000 
-dualbound = 3705003.488709, lowerbound=1302914.488709, norm of subgrad 1141.959057	dualbound = 3705003.488709, lowerbound=1302914.488709, norm of subgrad 35.535056	 stepsize= 1.000000 
-dualbound = 3705064.988100, lowerbound=1297489.988100, norm of subgrad 1139.576671	dualbound = 3705064.988100, lowerbound=1297489.988100, norm of subgrad 34.734700	 stepsize= 1.000000 
-dualbound = 3705150.437699, lowerbound=1306254.437699, norm of subgrad 1143.434055	dualbound = 3705150.437699, lowerbound=1306254.437699, norm of subgrad 35.671412	 stepsize= 1.000000 
-dualbound = 3705181.966113, lowerbound=1303413.966113, norm of subgrad 1142.189111	dualbound = 3705181.966113, lowerbound=1303413.966113, norm of subgrad 34.835735	 stepsize= 1.000000 
-dualbound = 3705253.292075, lowerbound=1300822.292075, norm of subgrad 1141.080318	dualbound = 3705253.292075, lowerbound=1300822.292075, norm of subgrad 36.239839	 stepsize= 1.000000 
-dualbound = 3705317.381530, lowerbound=1302986.381530, norm of subgrad 1142.039133	dualbound = 3705317.381530, lowerbound=1302986.381530, norm of subgrad 36.484099	 stepsize= 1.000000 
-dualbound = 3705368.632417, lowerbound=1297921.632417, norm of subgrad 1139.786661	dualbound = 3705368.632417, lowerbound=1297921.632417, norm of subgrad 35.259763	 stepsize= 1.000000 
-dualbound = 3705439.065754, lowerbound=1298664.065754, norm of subgrad 1140.156158	dualbound = 3705439.065754, lowerbound=1298664.065754, norm of subgrad 36.911155	 stepsize= 1.000000 
-dualbound = 3705490.452303, lowerbound=1302861.452303, norm of subgrad 1141.953349	dualbound = 3705490.452303, lowerbound=1302861.452303, norm of subgrad 35.318360	 stepsize= 1.000000 
-dualbound = 3705561.221762, lowerbound=1299496.221762, norm of subgrad 1140.499111	dualbound = 3705561.221762, lowerbound=1299496.221762, norm of subgrad 36.232161	 stepsize= 1.000000 
-dualbound = 3705603.112809, lowerbound=1299124.112809, norm of subgrad 1140.349557	dualbound = 3705603.112809, lowerbound=1299124.112809, norm of subgrad 36.261426	 stepsize= 1.000000 
-dualbound = 3705691.022078, lowerbound=1299206.022078, norm of subgrad 1140.346887	dualbound = 3705691.022078, lowerbound=1299206.022078, norm of subgrad 35.677854	 stepsize= 1.000000 
-dualbound = 3705758.299125, lowerbound=1302483.299125, norm of subgrad 1141.810973	dualbound = 3705758.299125, lowerbound=1302483.299125, norm of subgrad 36.280533	 stepsize= 1.000000 
-dualbound = 3705793.916871, lowerbound=1298326.916871, norm of subgrad 1139.977156	dualbound = 3705793.916871, lowerbound=1298326.916871, norm of subgrad 35.448805	 stepsize= 1.000000 
-dualbound = 3705885.012714, lowerbound=1305549.012714, norm of subgrad 1143.152226	dualbound = 3705885.012714, lowerbound=1305549.012714, norm of subgrad 36.593658	 stepsize= 1.000000 
-dualbound = 3705930.332319, lowerbound=1301245.332319, norm of subgrad 1141.257785	dualbound = 3705930.332319, lowerbound=1301245.332319, norm of subgrad 35.627512	 stepsize= 1.000000 
-dualbound = 3706003.195661, lowerbound=1300633.195661, norm of subgrad 1140.966781	dualbound = 3706003.195661, lowerbound=1300633.195661, norm of subgrad 35.282621	 stepsize= 1.000000 
-dualbound = 3706063.605661, lowerbound=1301251.605661, norm of subgrad 1141.255714	dualbound = 3706063.605661, lowerbound=1301251.605661, norm of subgrad 35.684871	 stepsize= 1.000000 
-dualbound = 3706131.442148, lowerbound=1308008.442148, norm of subgrad 1144.207779	dualbound = 3706131.442148, lowerbound=1308008.442148, norm of subgrad 35.648794	 stepsize= 1.000000 
-dualbound = 3706165.270013, lowerbound=1303345.270013, norm of subgrad 1142.204566	dualbound = 3706165.270013, lowerbound=1303345.270013, norm of subgrad 36.329435	 stepsize= 1.000000 
-dualbound = 3706237.318822, lowerbound=1301110.318822, norm of subgrad 1141.210462	dualbound = 3706237.318822, lowerbound=1301110.318822, norm of subgrad 36.373738	 stepsize= 1.000000 
-dualbound = 3706304.543397, lowerbound=1302165.543397, norm of subgrad 1141.677513	dualbound = 3706304.543397, lowerbound=1302165.543397, norm of subgrad 36.458532	 stepsize= 1.000000 
-dualbound = 3706361.339879, lowerbound=1300790.339879, norm of subgrad 1141.058868	dualbound = 3706361.339879, lowerbound=1300790.339879, norm of subgrad 35.802185	 stepsize= 1.000000 
-dualbound = 3706433.240892, lowerbound=1301460.240892, norm of subgrad 1141.363764	dualbound = 3706433.240892, lowerbound=1301460.240892, norm of subgrad 36.371706	 stepsize= 1.000000 
-dualbound = 3706488.870878, lowerbound=1302386.870878, norm of subgrad 1141.745537	dualbound = 3706488.870878, lowerbound=1302386.870878, norm of subgrad 35.378383	 stepsize= 1.000000 
-dualbound = 3706564.513052, lowerbound=1301158.513052, norm of subgrad 1141.204413	dualbound = 3706564.513052, lowerbound=1301158.513052, norm of subgrad 35.561808	 stepsize= 1.000000 
-dualbound = 3706638.079098, lowerbound=1293241.079098, norm of subgrad 1137.703863	dualbound = 3706638.079098, lowerbound=1293241.079098, norm of subgrad 34.678034	 stepsize= 1.000000 
-dualbound = 3706687.357120, lowerbound=1304186.357120, norm of subgrad 1142.529368	dualbound = 3706687.357120, lowerbound=1304186.357120, norm of subgrad 35.160745	 stepsize= 1.000000 
-dualbound = 3706749.915900, lowerbound=1300520.915900, norm of subgrad 1140.912756	dualbound = 3706749.915900, lowerbound=1300520.915900, norm of subgrad 34.979405	 stepsize= 1.000000 
-dualbound = 3706823.477413, lowerbound=1304621.477413, norm of subgrad 1142.725023	dualbound = 3706823.477413, lowerbound=1304621.477413, norm of subgrad 35.672980	 stepsize= 1.000000 
-dualbound = 3706885.785898, lowerbound=1296503.785898, norm of subgrad 1139.185580	dualbound = 3706885.785898, lowerbound=1296503.785898, norm of subgrad 36.087511	 stepsize= 1.000000 
-dualbound = 3706907.306392, lowerbound=1303290.306392, norm of subgrad 1142.162119	dualbound = 3706907.306392, lowerbound=1303290.306392, norm of subgrad 35.574155	 stepsize= 1.000000 
-dualbound = 3707000.291629, lowerbound=1300516.291629, norm of subgrad 1140.937462	dualbound = 3707000.291629, lowerbound=1300516.291629, norm of subgrad 36.262725	 stepsize= 1.000000 
-dualbound = 3707068.395471, lowerbound=1301754.395471, norm of subgrad 1141.495245	dualbound = 3707068.395471, lowerbound=1301754.395471, norm of subgrad 36.401976	 stepsize= 1.000000 
-dualbound = 3707119.273650, lowerbound=1302484.273650, norm of subgrad 1141.808335	dualbound = 3707119.273650, lowerbound=1302484.273650, norm of subgrad 35.956615	 stepsize= 1.000000 
-dualbound = 3707169.315655, lowerbound=1293207.315655, norm of subgrad 1137.741761	dualbound = 3707169.315655, lowerbound=1293207.315655, norm of subgrad 36.042225	 stepsize= 1.000000 
-dualbound = 3707243.538300, lowerbound=1301730.538300, norm of subgrad 1141.472093	dualbound = 3707243.538300, lowerbound=1301730.538300, norm of subgrad 36.086322	 stepsize= 1.000000 
-dualbound = 3707310.729566, lowerbound=1306975.729566, norm of subgrad 1143.758160	dualbound = 3707310.729566, lowerbound=1306975.729566, norm of subgrad 35.695816	 stepsize= 1.000000 
-dualbound = 3707388.238729, lowerbound=1294858.238729, norm of subgrad 1138.447293	dualbound = 3707388.238729, lowerbound=1294858.238729, norm of subgrad 35.798173	 stepsize= 1.000000 
-dualbound = 3707447.264684, lowerbound=1301297.264684, norm of subgrad 1141.267832	dualbound = 3707447.264684, lowerbound=1301297.264684, norm of subgrad 35.412229	 stepsize= 1.000000 
-dualbound = 3707492.150887, lowerbound=1299945.150887, norm of subgrad 1140.680126	dualbound = 3707492.150887, lowerbound=1299945.150887, norm of subgrad 35.367870	 stepsize= 1.000000 
-dualbound = 3707575.962532, lowerbound=1299192.962532, norm of subgrad 1140.365276	dualbound = 3707575.962532, lowerbound=1299192.962532, norm of subgrad 36.384222	 stepsize= 1.000000 
-dualbound = 3707600.333314, lowerbound=1299340.333314, norm of subgrad 1140.417175	dualbound = 3707600.333314, lowerbound=1299340.333314, norm of subgrad 35.147842	 stepsize= 1.000000 
-dualbound = 3707699.691072, lowerbound=1300470.691072, norm of subgrad 1140.910904	dualbound = 3707699.691072, lowerbound=1300470.691072, norm of subgrad 36.143571	 stepsize= 1.000000 
-dualbound = 3707749.523933, lowerbound=1302100.523933, norm of subgrad 1141.641592	dualbound = 3707749.523933, lowerbound=1302100.523933, norm of subgrad 35.983786	 stepsize= 1.000000 
-dualbound = 3707821.555301, lowerbound=1297097.555301, norm of subgrad 1139.411056	dualbound = 3707821.555301, lowerbound=1297097.555301, norm of subgrad 35.100304	 stepsize= 1.000000 
-dualbound = 3707886.447769, lowerbound=1307265.447769, norm of subgrad 1143.889176	dualbound = 3707886.447769, lowerbound=1307265.447769, norm of subgrad 35.803526	 stepsize= 1.000000 
-dualbound = 3707937.611948, lowerbound=1294292.611948, norm of subgrad 1138.195331	dualbound = 3707937.611948, lowerbound=1294292.611948, norm of subgrad 35.315212	 stepsize= 1.000000 
-dualbound = 3708009.123905, lowerbound=1301025.123905, norm of subgrad 1141.167439	dualbound = 3708009.123905, lowerbound=1301025.123905, norm of subgrad 36.187179	 stepsize= 1.000000 
-dualbound = 3708055.342971, lowerbound=1302193.342971, norm of subgrad 1141.691439	dualbound = 3708055.342971, lowerbound=1302193.342971, norm of subgrad 36.224564	 stepsize= 1.000000 
-dualbound = 3708126.370775, lowerbound=1298953.370775, norm of subgrad 1140.259344	dualbound = 3708126.370775, lowerbound=1298953.370775, norm of subgrad 36.180489	 stepsize= 1.000000 
-dualbound = 3708179.712043, lowerbound=1305022.712043, norm of subgrad 1142.918944	dualbound = 3708179.712043, lowerbound=1305022.712043, norm of subgrad 35.976955	 stepsize= 1.000000 
-dualbound = 3708243.844246, lowerbound=1297038.844246, norm of subgrad 1139.426103	dualbound = 3708243.844246, lowerbound=1297038.844246, norm of subgrad 36.292316	 stepsize= 1.000000 
-dualbound = 3708292.317075, lowerbound=1302319.317075, norm of subgrad 1141.740039	dualbound = 3708292.317075, lowerbound=1302319.317075, norm of subgrad 36.048201	 stepsize= 1.000000 
-dualbound = 3708361.183334, lowerbound=1302784.183334, norm of subgrad 1141.920393	dualbound = 3708361.183334, lowerbound=1302784.183334, norm of subgrad 35.593065	 stepsize= 1.000000 
-dualbound = 3708459.412487, lowerbound=1295232.412487, norm of subgrad 1138.593173	dualbound = 3708459.412487, lowerbound=1295232.412487, norm of subgrad 35.499706	 stepsize= 1.000000 
-dualbound = 3708516.805142, lowerbound=1306101.805142, norm of subgrad 1143.369059	dualbound = 3708516.805142, lowerbound=1306101.805142, norm of subgrad 35.332600	 stepsize= 1.000000 
-dualbound = 3708581.162138, lowerbound=1294537.162138, norm of subgrad 1138.304951	dualbound = 3708581.162138, lowerbound=1294537.162138, norm of subgrad 35.571857	 stepsize= 1.000000 
-dualbound = 3708631.021177, lowerbound=1305130.021177, norm of subgrad 1142.939640	dualbound = 3708631.021177, lowerbound=1305130.021177, norm of subgrad 35.083601	 stepsize= 1.000000 
-dualbound = 3708710.574965, lowerbound=1299256.574965, norm of subgrad 1140.397990	dualbound = 3708710.574965, lowerbound=1299256.574965, norm of subgrad 36.476757	 stepsize= 1.000000 
-dualbound = 3708740.816822, lowerbound=1295691.816822, norm of subgrad 1138.850656	dualbound = 3708740.816822, lowerbound=1295691.816822, norm of subgrad 36.321369	 stepsize= 1.000000 
-dualbound = 3708831.840842, lowerbound=1297830.840842, norm of subgrad 1139.756044	dualbound = 3708831.840842, lowerbound=1297830.840842, norm of subgrad 36.111273	 stepsize= 1.000000 
-dualbound = 3708870.986488, lowerbound=1303681.986488, norm of subgrad 1142.332257	dualbound = 3708870.986488, lowerbound=1303681.986488, norm of subgrad 35.779123	 stepsize= 1.000000 
-dualbound = 3708946.170702, lowerbound=1300302.170702, norm of subgrad 1140.837487	dualbound = 3708946.170702, lowerbound=1300302.170702, norm of subgrad 35.821561	 stepsize= 1.000000 
-dualbound = 3709004.814370, lowerbound=1309525.814370, norm of subgrad 1144.883319	dualbound = 3709004.814370, lowerbound=1309525.814370, norm of subgrad 35.925529	 stepsize= 1.000000 
-dualbound = 3709082.580043, lowerbound=1295132.580043, norm of subgrad 1138.580072	dualbound = 3709082.580043, lowerbound=1295132.580043, norm of subgrad 36.190685	 stepsize= 1.000000 
-dualbound = 3709114.438191, lowerbound=1306590.438191, norm of subgrad 1143.606767	dualbound = 3709114.438191, lowerbound=1306590.438191, norm of subgrad 35.747142	 stepsize= 1.000000 
-dualbound = 3709193.995054, lowerbound=1303359.995054, norm of subgrad 1142.193502	dualbound = 3709193.995054, lowerbound=1303359.995054, norm of subgrad 36.408198	 stepsize= 1.000000 
-dualbound = 3709254.168180, lowerbound=1303345.168180, norm of subgrad 1142.180445	dualbound = 3709254.168180, lowerbound=1303345.168180, norm of subgrad 35.932898	 stepsize= 1.000000 
-dualbound = 3709330.341493, lowerbound=1300627.341493, norm of subgrad 1140.977362	dualbound = 3709330.341493, lowerbound=1300627.341493, norm of subgrad 35.751550	 stepsize= 1.000000 
-dualbound = 3709369.999101, lowerbound=1300327.999101, norm of subgrad 1140.851874	dualbound = 3709369.999101, lowerbound=1300327.999101, norm of subgrad 35.421146	 stepsize= 1.000000 
-dualbound = 3709468.474484, lowerbound=1304276.474484, norm of subgrad 1142.602938	dualbound = 3709468.474484, lowerbound=1304276.474484, norm of subgrad 36.925268	 stepsize= 1.000000 
-dualbound = 3709493.954879, lowerbound=1303384.954879, norm of subgrad 1142.211432	dualbound = 3709493.954879, lowerbound=1303384.954879, norm of subgrad 35.881477	 stepsize= 1.000000 
-dualbound = 3709571.417837, lowerbound=1302492.417837, norm of subgrad 1141.797013	dualbound = 3709571.417837, lowerbound=1302492.417837, norm of subgrad 35.853354	 stepsize= 1.000000 
-dualbound = 3709625.726276, lowerbound=1299067.726276, norm of subgrad 1140.313872	dualbound = 3709625.726276, lowerbound=1299067.726276, norm of subgrad 36.087511	 stepsize= 1.000000 
-dualbound = 3709688.161002, lowerbound=1298252.161002, norm of subgrad 1139.970246	dualbound = 3709688.161002, lowerbound=1298252.161002, norm of subgrad 36.639251	 stepsize= 1.000000 
-dualbound = 3709754.149306, lowerbound=1300605.149306, norm of subgrad 1140.970267	dualbound = 3709754.149306, lowerbound=1300605.149306, norm of subgrad 35.692973	 stepsize= 1.000000 
-dualbound = 3709809.621366, lowerbound=1303230.621366, norm of subgrad 1142.133364	dualbound = 3709809.621366, lowerbound=1303230.621366, norm of subgrad 35.964873	 stepsize= 1.000000 
-dualbound = 3709873.350816, lowerbound=1308543.350816, norm of subgrad 1144.434074	dualbound = 3709873.350816, lowerbound=1308543.350816, norm of subgrad 35.351513	 stepsize= 1.000000 
-dualbound = 3709946.533065, lowerbound=1298876.533065, norm of subgrad 1140.201532	dualbound = 3709946.533065, lowerbound=1298876.533065, norm of subgrad 35.442661	 stepsize= 1.000000 
-dualbound = 3710015.213657, lowerbound=1295987.213657, norm of subgrad 1138.919318	dualbound = 3710015.213657, lowerbound=1295987.213657, norm of subgrad 34.909606	 stepsize= 1.000000 
-dualbound = 3710091.542783, lowerbound=1301485.542783, norm of subgrad 1141.318335	dualbound = 3710091.542783, lowerbound=1301485.542783, norm of subgrad 34.616891	 stepsize= 1.000000 
-dualbound = 3710154.704940, lowerbound=1298061.704940, norm of subgrad 1139.866968	dualbound = 3710154.704940, lowerbound=1298061.704940, norm of subgrad 36.030017	 stepsize= 1.000000 
-dualbound = 3710197.215431, lowerbound=1303846.215431, norm of subgrad 1142.416831	dualbound = 3710197.215431, lowerbound=1303846.215431, norm of subgrad 36.228587	 stepsize= 1.000000 
-dualbound = 3710252.595854, lowerbound=1297757.595854, norm of subgrad 1139.720841	dualbound = 3710252.595854, lowerbound=1297757.595854, norm of subgrad 35.515918	 stepsize= 1.000000 
-dualbound = 3710323.030478, lowerbound=1301082.030478, norm of subgrad 1141.178790	dualbound = 3710323.030478, lowerbound=1301082.030478, norm of subgrad 35.741217	 stepsize= 1.000000 
-dualbound = 3710392.191877, lowerbound=1302335.191877, norm of subgrad 1141.722905	dualbound = 3710392.191877, lowerbound=1302335.191877, norm of subgrad 35.569107	 stepsize= 1.000000 
-dualbound = 3710445.097048, lowerbound=1303674.097048, norm of subgrad 1142.319175	dualbound = 3710445.097048, lowerbound=1303674.097048, norm of subgrad 35.663780	 stepsize= 1.000000 
-dualbound = 3710506.997594, lowerbound=1300370.997594, norm of subgrad 1140.901397	dualbound = 3710506.997594, lowerbound=1300370.997594, norm of subgrad 36.700144	 stepsize= 1.000000 
-dualbound = 3710556.544669, lowerbound=1301942.544669, norm of subgrad 1141.544806	dualbound = 3710556.544669, lowerbound=1301942.544669, norm of subgrad 35.093405	 stepsize= 1.000000 
-dualbound = 3710647.922100, lowerbound=1298041.922100, norm of subgrad 1139.846008	dualbound = 3710647.922100, lowerbound=1298041.922100, norm of subgrad 36.033005	 stepsize= 1.000000 
-dualbound = 3710708.758364, lowerbound=1303348.758364, norm of subgrad 1142.192960	dualbound = 3710708.758364, lowerbound=1303348.758364, norm of subgrad 36.288239	 stepsize= 1.000000 
-dualbound = 3710753.055910, lowerbound=1303068.055910, norm of subgrad 1142.056941	dualbound = 3710753.055910, lowerbound=1303068.055910, norm of subgrad 35.641234	 stepsize= 1.000000 
-dualbound = 3710831.037943, lowerbound=1298133.037943, norm of subgrad 1139.876764	dualbound = 3710831.037943, lowerbound=1298133.037943, norm of subgrad 35.552525	 stepsize= 1.000000 
-dualbound = 3710906.748724, lowerbound=1305734.748724, norm of subgrad 1143.201097	dualbound = 3710906.748724, lowerbound=1305734.748724, norm of subgrad 35.351249	 stepsize= 1.000000 
-dualbound = 3710947.389555, lowerbound=1296957.389555, norm of subgrad 1139.394308	dualbound = 3710947.389555, lowerbound=1296957.389555, norm of subgrad 36.092116	 stepsize= 1.000000 
-dualbound = 3710998.165706, lowerbound=1305218.165706, norm of subgrad 1143.011883	dualbound = 3710998.165706, lowerbound=1305218.165706, norm of subgrad 36.177011	 stepsize= 1.000000 
-dualbound = 3711088.934000, lowerbound=1301741.934000, norm of subgrad 1141.442041	dualbound = 3711088.934000, lowerbound=1301741.934000, norm of subgrad 35.196140	 stepsize= 1.000000 
-dualbound = 3711163.026014, lowerbound=1304469.026014, norm of subgrad 1142.658316	dualbound = 3711163.026014, lowerbound=1304469.026014, norm of subgrad 35.680415	 stepsize= 1.000000 
-dualbound = 3711196.534181, lowerbound=1302993.534181, norm of subgrad 1142.018185	dualbound = 3711196.534181, lowerbound=1302993.534181, norm of subgrad 35.291758	 stepsize= 1.000000 
-dualbound = 3711272.249501, lowerbound=1303487.249501, norm of subgrad 1142.214187	dualbound = 3711272.249501, lowerbound=1303487.249501, norm of subgrad 35.237981	 stepsize= 1.000000 
-dualbound = 3711340.886232, lowerbound=1304178.886232, norm of subgrad 1142.545354	dualbound = 3711340.886232, lowerbound=1304178.886232, norm of subgrad 36.050475	 stepsize= 1.000000 
-dualbound = 3711397.516282, lowerbound=1300028.516282, norm of subgrad 1140.714915	dualbound = 3711397.516282, lowerbound=1300028.516282, norm of subgrad 35.477176	 stepsize= 1.000000 
-dualbound = 3711453.835424, lowerbound=1298216.835424, norm of subgrad 1139.939839	dualbound = 3711453.835424, lowerbound=1298216.835424, norm of subgrad 36.087659	 stepsize= 1.000000 
-dualbound = 3711492.316334, lowerbound=1306241.316334, norm of subgrad 1143.454554	dualbound = 3711492.316334, lowerbound=1306241.316334, norm of subgrad 35.853604	 stepsize= 1.000000 
-dualbound = 3711587.114136, lowerbound=1292298.114136, norm of subgrad 1137.293328	dualbound = 3711587.114136, lowerbound=1292298.114136, norm of subgrad 35.111220	 stepsize= 1.000000 
-dualbound = 3711623.456870, lowerbound=1306870.456870, norm of subgrad 1143.728314	dualbound = 3711623.456870, lowerbound=1306870.456870, norm of subgrad 35.781877	 stepsize= 1.000000 
-dualbound = 3711708.643040, lowerbound=1299685.643040, norm of subgrad 1140.542258	dualbound = 3711708.643040, lowerbound=1299685.643040, norm of subgrad 35.159439	 stepsize= 1.000000 
-dualbound = 3711766.072765, lowerbound=1304982.072765, norm of subgrad 1142.880603	dualbound = 3711766.072765, lowerbound=1304982.072765, norm of subgrad 35.375553	 stepsize= 1.000000 
-dualbound = 3711822.761308, lowerbound=1302959.761308, norm of subgrad 1141.989825	dualbound = 3711822.761308, lowerbound=1302959.761308, norm of subgrad 35.180798	 stepsize= 1.000000 
-dualbound = 3711885.046540, lowerbound=1301900.046540, norm of subgrad 1141.515241	dualbound = 3711885.046540, lowerbound=1301900.046540, norm of subgrad 34.918265	 stepsize= 1.000000 
-dualbound = 3711947.824085, lowerbound=1297390.824085, norm of subgrad 1139.554660	dualbound = 3711947.824085, lowerbound=1297390.824085, norm of subgrad 35.451058	 stepsize= 1.000000 
-dualbound = 3711992.542773, lowerbound=1299217.542773, norm of subgrad 1140.359392	dualbound = 3711992.542773, lowerbound=1299217.542773, norm of subgrad 35.308904	 stepsize= 1.000000 
-dualbound = 3712061.222474, lowerbound=1301820.222474, norm of subgrad 1141.516633	dualbound = 3712061.222474, lowerbound=1301820.222474, norm of subgrad 36.175678	 stepsize= 1.000000 
-dualbound = 3712112.410111, lowerbound=1304504.410111, norm of subgrad 1142.696990	dualbound = 3712112.410111, lowerbound=1304504.410111, norm of subgrad 36.099690	 stepsize= 1.000000 
-dualbound = 3712191.600599, lowerbound=1301024.600599, norm of subgrad 1141.174220	dualbound = 3712191.600599, lowerbound=1301024.600599, norm of subgrad 36.512881	 stepsize= 1.000000 
-dualbound = 3712238.756817, lowerbound=1302093.756817, norm of subgrad 1141.653081	dualbound = 3712238.756817, lowerbound=1302093.756817, norm of subgrad 36.402695	 stepsize= 1.000000 
-dualbound = 3712295.922423, lowerbound=1301258.922423, norm of subgrad 1141.268558	dualbound = 3712295.922423, lowerbound=1301258.922423, norm of subgrad 35.946705	 stepsize= 1.000000 
-dualbound = 3712395.406831, lowerbound=1298968.406831, norm of subgrad 1140.259359	dualbound = 3712395.406831, lowerbound=1298968.406831, norm of subgrad 36.365979	 stepsize= 1.000000 
-dualbound = 3712443.775323, lowerbound=1297233.775323, norm of subgrad 1139.493210	dualbound = 3712443.775323, lowerbound=1297233.775323, norm of subgrad 35.487582	 stepsize= 1.000000 
-dualbound = 3712506.965958, lowerbound=1303751.965958, norm of subgrad 1142.369890	dualbound = 3712506.965958, lowerbound=1303751.965958, norm of subgrad 36.334428	 stepsize= 1.000000 
-dualbound = 3712546.038080, lowerbound=1298506.038080, norm of subgrad 1140.076769	dualbound = 3712546.038080, lowerbound=1298506.038080, norm of subgrad 36.167280	 stepsize= 1.000000 
-dualbound = 3712605.414033, lowerbound=1300778.414033, norm of subgrad 1141.102718	dualbound = 3712605.414033, lowerbound=1300778.414033, norm of subgrad 37.368114	 stepsize= 1.000000 
-dualbound = 3712663.442141, lowerbound=1301538.442141, norm of subgrad 1141.408972	dualbound = 3712663.442141, lowerbound=1301538.442141, norm of subgrad 36.524350	 stepsize= 1.000000 
-dualbound = 3712741.349803, lowerbound=1297466.349803, norm of subgrad 1139.611052	dualbound = 3712741.349803, lowerbound=1297466.349803, norm of subgrad 36.399281	 stepsize= 1.000000 
-dualbound = 3712796.818766, lowerbound=1307384.818766, norm of subgrad 1143.967578	dualbound = 3712796.818766, lowerbound=1307384.818766, norm of subgrad 36.502999	 stepsize= 1.000000 
-dualbound = 3712867.120183, lowerbound=1296365.120183, norm of subgrad 1139.109354	dualbound = 3712867.120183, lowerbound=1296365.120183, norm of subgrad 35.711363	 stepsize= 1.000000 
-dualbound = 3712934.612674, lowerbound=1303550.612674, norm of subgrad 1142.253305	dualbound = 3712934.612674, lowerbound=1303550.612674, norm of subgrad 35.489329	 stepsize= 1.000000 
-dualbound = 3713020.732878, lowerbound=1300733.732878, norm of subgrad 1141.015658	dualbound = 3713020.732878, lowerbound=1300733.732878, norm of subgrad 35.624713	 stepsize= 1.000000 
-dualbound = 3713059.058809, lowerbound=1297925.058809, norm of subgrad 1139.786409	dualbound = 3713059.058809, lowerbound=1297925.058809, norm of subgrad 35.018937	 stepsize= 1.000000 
-dualbound = 3713133.514980, lowerbound=1302051.514980, norm of subgrad 1141.576329	dualbound = 3713133.514980, lowerbound=1302051.514980, norm of subgrad 34.920713	 stepsize= 1.000000 
-dualbound = 3713203.129600, lowerbound=1298573.129600, norm of subgrad 1140.051810	dualbound = 3713203.129600, lowerbound=1298573.129600, norm of subgrad 34.851322	 stepsize= 1.000000 
-dualbound = 3713265.652958, lowerbound=1300616.652958, norm of subgrad 1140.955149	dualbound = 3713265.652958, lowerbound=1300616.652958, norm of subgrad 34.993190	 stepsize= 1.000000 
-dualbound = 3713316.208369, lowerbound=1303123.208369, norm of subgrad 1142.058759	dualbound = 3713316.208369, lowerbound=1303123.208369, norm of subgrad 35.007934	 stepsize= 1.000000 
-dualbound = 3713386.924848, lowerbound=1306192.924848, norm of subgrad 1143.426397	dualbound = 3713386.924848, lowerbound=1306192.924848, norm of subgrad 36.079308	 stepsize= 1.000000 
-dualbound = 3713433.686655, lowerbound=1305033.686655, norm of subgrad 1142.905371	dualbound = 3713433.686655, lowerbound=1305033.686655, norm of subgrad 35.295351	 stepsize= 1.000000 
-dualbound = 3713522.033690, lowerbound=1304257.033690, norm of subgrad 1142.585241	dualbound = 3713522.033690, lowerbound=1304257.033690, norm of subgrad 36.501329	 stepsize= 1.000000 
-dualbound = 3713555.515918, lowerbound=1300993.515918, norm of subgrad 1141.147894	dualbound = 3713555.515918, lowerbound=1300993.515918, norm of subgrad 35.475093	 stepsize= 1.000000 
-dualbound = 3713629.590974, lowerbound=1299754.590974, norm of subgrad 1140.592211	dualbound = 3713629.590974, lowerbound=1299754.590974, norm of subgrad 35.638112	 stepsize= 1.000000 
-dualbound = 3713695.166932, lowerbound=1298821.166932, norm of subgrad 1140.189093	dualbound = 3713695.166932, lowerbound=1298821.166932, norm of subgrad 35.715206	 stepsize= 1.000000 
-dualbound = 3713742.197355, lowerbound=1299429.197355, norm of subgrad 1140.473672	dualbound = 3713742.197355, lowerbound=1299429.197355, norm of subgrad 36.028189	 stepsize= 1.000000 
-dualbound = 3713811.052561, lowerbound=1302442.052561, norm of subgrad 1141.769264	dualbound = 3713811.052561, lowerbound=1302442.052561, norm of subgrad 35.550741	 stepsize= 1.000000 
-dualbound = 3713901.340371, lowerbound=1305883.340371, norm of subgrad 1143.273957	dualbound = 3713901.340371, lowerbound=1305883.340371, norm of subgrad 35.809046	 stepsize= 1.000000 
-dualbound = 3713933.389260, lowerbound=1297816.389260, norm of subgrad 1139.782606	dualbound = 3713933.389260, lowerbound=1297816.389260, norm of subgrad 36.332477	 stepsize= 1.000000 
-dualbound = 3714000.532463, lowerbound=1302597.532463, norm of subgrad 1141.868439	dualbound = 3714000.532463, lowerbound=1302597.532463, norm of subgrad 36.512234	 stepsize= 1.000000 
-dualbound = 3714055.964261, lowerbound=1297490.964261, norm of subgrad 1139.623606	dualbound = 3714055.964261, lowerbound=1297490.964261, norm of subgrad 36.144596	 stepsize= 1.000000 
-dualbound = 3714130.659880, lowerbound=1302035.659880, norm of subgrad 1141.586466	dualbound = 3714130.659880, lowerbound=1302035.659880, norm of subgrad 35.478101	 stepsize= 1.000000 
-dualbound = 3714190.803667, lowerbound=1295178.803667, norm of subgrad 1138.608714	dualbound = 3714190.803667, lowerbound=1295178.803667, norm of subgrad 36.209720	 stepsize= 1.000000 
-dualbound = 3714243.916614, lowerbound=1311745.916614, norm of subgrad 1145.873866	dualbound = 3714243.916614, lowerbound=1311745.916614, norm of subgrad 36.525511	 stepsize= 1.000000 
-dualbound = 3714312.888595, lowerbound=1296993.888595, norm of subgrad 1139.420857	dualbound = 3714312.888595, lowerbound=1296993.888595, norm of subgrad 36.809944	 stepsize= 1.000000 
-dualbound = 3714377.790926, lowerbound=1305880.790926, norm of subgrad 1143.293834	dualbound = 3714377.790926, lowerbound=1305880.790926, norm of subgrad 36.123432	 stepsize= 1.000000 
-dualbound = 3714452.173386, lowerbound=1297294.173386, norm of subgrad 1139.512691	dualbound = 3714452.173386, lowerbound=1297294.173386, norm of subgrad 35.628394	 stepsize= 1.000000 
-dualbound = 3714516.039226, lowerbound=1304270.039226, norm of subgrad 1142.577367	dualbound = 3714516.039226, lowerbound=1304270.039226, norm of subgrad 35.733260	 stepsize= 1.000000 
-dualbound = 3714577.816664, lowerbound=1301098.816664, norm of subgrad 1141.142330	dualbound = 3714577.816664, lowerbound=1301098.816664, norm of subgrad 34.187387	 stepsize= 1.000000 
-dualbound = 3714675.263612, lowerbound=1296233.263612, norm of subgrad 1139.022065	dualbound = 3714675.263612, lowerbound=1296233.263612, norm of subgrad 35.148925	 stepsize= 1.000000 
-dualbound = 3714704.528321, lowerbound=1297293.528321, norm of subgrad 1139.526449	dualbound = 3714704.528321, lowerbound=1297293.528321, norm of subgrad 35.443825	 stepsize= 1.000000 
-dualbound = 3714771.936569, lowerbound=1301257.936569, norm of subgrad 1141.260679	dualbound = 3714771.936569, lowerbound=1301257.936569, norm of subgrad 35.852591	 stepsize= 1.000000 
-dualbound = 3714820.762648, lowerbound=1308200.762648, norm of subgrad 1144.292691	dualbound = 3714820.762648, lowerbound=1308200.762648, norm of subgrad 35.409407	 stepsize= 1.000000 
-dualbound = 3714894.042767, lowerbound=1301918.042767, norm of subgrad 1141.554222	dualbound = 3714894.042767, lowerbound=1301918.042767, norm of subgrad 36.073260	 stepsize= 1.000000 
-dualbound = 3714931.405921, lowerbound=1296988.405921, norm of subgrad 1139.392999	dualbound = 3714931.405921, lowerbound=1296988.405921, norm of subgrad 35.571943	 stepsize= 1.000000 
-dualbound = 3715032.483774, lowerbound=1299439.483774, norm of subgrad 1140.453631	dualbound = 3715032.483774, lowerbound=1299439.483774, norm of subgrad 36.001081	 stepsize= 1.000000 
-dualbound = 3715072.299489, lowerbound=1297002.299489, norm of subgrad 1139.403484	dualbound = 3715072.299489, lowerbound=1297002.299489, norm of subgrad 35.746548	 stepsize= 1.000000 
-dualbound = 3715145.836286, lowerbound=1304042.836286, norm of subgrad 1142.485814	dualbound = 3715145.836286, lowerbound=1304042.836286, norm of subgrad 36.118372	 stepsize= 1.000000 
-dualbound = 3715198.400572, lowerbound=1300009.400572, norm of subgrad 1140.711796	dualbound = 3715198.400572, lowerbound=1300009.400572, norm of subgrad 35.588822	 stepsize= 1.000000 
-dualbound = 3715270.924582, lowerbound=1311761.924582, norm of subgrad 1145.864706	dualbound = 3715270.924582, lowerbound=1311761.924582, norm of subgrad 36.283936	 stepsize= 1.000000 
-dualbound = 3715329.035212, lowerbound=1298272.035212, norm of subgrad 1139.958348	dualbound = 3715329.035212, lowerbound=1298272.035212, norm of subgrad 35.932028	 stepsize= 1.000000 
-dualbound = 3715404.579358, lowerbound=1303867.579358, norm of subgrad 1142.394669	dualbound = 3715404.579358, lowerbound=1303867.579358, norm of subgrad 35.686750	 stepsize= 1.000000 
-dualbound = 3715459.107848, lowerbound=1300186.107848, norm of subgrad 1140.769963	dualbound = 3715459.107848, lowerbound=1300186.107848, norm of subgrad 34.993263	 stepsize= 1.000000 
-dualbound = 3715506.203598, lowerbound=1303147.203598, norm of subgrad 1142.081522	dualbound = 3715506.203598, lowerbound=1303147.203598, norm of subgrad 35.356693	 stepsize= 1.000000 
-dualbound = 3715579.219407, lowerbound=1298492.219407, norm of subgrad 1140.028166	dualbound = 3715579.219407, lowerbound=1298492.219407, norm of subgrad 35.284782	 stepsize= 1.000000 
-dualbound = 3715651.810091, lowerbound=1307287.810091, norm of subgrad 1143.909441	dualbound = 3715651.810091, lowerbound=1307287.810091, norm of subgrad 36.243492	 stepsize= 1.000000 
-dualbound = 3715672.408732, lowerbound=1297944.408732, norm of subgrad 1139.847099	dualbound = 3715672.408732, lowerbound=1297944.408732, norm of subgrad 36.436227	 stepsize= 1.000000 
-dualbound = 3715732.889407, lowerbound=1305617.889407, norm of subgrad 1143.183227	dualbound = 3715732.889407, lowerbound=1305617.889407, norm of subgrad 36.200562	 stepsize= 1.000000 
-dualbound = 3715825.339529, lowerbound=1295708.339529, norm of subgrad 1138.845178	dualbound = 3715825.339529, lowerbound=1295708.339529, norm of subgrad 36.775673	 stepsize= 1.000000 
-dualbound = 3715869.866003, lowerbound=1303135.866003, norm of subgrad 1142.086628	dualbound = 3715869.866003, lowerbound=1303135.866003, norm of subgrad 35.644445	 stepsize= 1.000000 
-dualbound = 3715934.151552, lowerbound=1303144.151552, norm of subgrad 1142.075370	dualbound = 3715934.151552, lowerbound=1303144.151552, norm of subgrad 35.444119	 stepsize= 1.000000 
-dualbound = 3715996.621661, lowerbound=1308023.621661, norm of subgrad 1144.224900	dualbound = 3715996.621661, lowerbound=1308023.621661, norm of subgrad 35.909193	 stepsize= 1.000000 
-dualbound = 3716053.197190, lowerbound=1302658.197190, norm of subgrad 1141.871795	dualbound = 3716053.197190, lowerbound=1302658.197190, norm of subgrad 35.631103	 stepsize= 1.000000 
-dualbound = 3716151.328709, lowerbound=1301956.328709, norm of subgrad 1141.540770	dualbound = 3716151.328709, lowerbound=1301956.328709, norm of subgrad 35.456051	 stepsize= 1.000000 
-dualbound = 3716198.503572, lowerbound=1305654.503572, norm of subgrad 1143.193555	dualbound = 3716198.503572, lowerbound=1305654.503572, norm of subgrad 35.835386	 stepsize= 1.000000 
-dualbound = 3716240.215652, lowerbound=1296691.215652, norm of subgrad 1139.255992	dualbound = 3716240.215652, lowerbound=1296691.215652, norm of subgrad 35.421915	 stepsize= 1.000000 
-dualbound = 3716309.497377, lowerbound=1304589.497377, norm of subgrad 1142.700528	dualbound = 3716309.497377, lowerbound=1304589.497377, norm of subgrad 35.274378	 stepsize= 1.000000 
-dualbound = 3716391.765143, lowerbound=1298710.765143, norm of subgrad 1140.123136	dualbound = 3716391.765143, lowerbound=1298710.765143, norm of subgrad 35.387396	 stepsize= 1.000000 
-dualbound = 3716444.514688, lowerbound=1306900.514688, norm of subgrad 1143.722219	dualbound = 3716444.514688, lowerbound=1306900.514688, norm of subgrad 35.394202	 stepsize= 1.000000 
-dualbound = 3716511.451777, lowerbound=1300918.451777, norm of subgrad 1141.110622	dualbound = 3716511.451777, lowerbound=1300918.451777, norm of subgrad 35.804149	 stepsize= 1.000000 
-dualbound = 3716550.200421, lowerbound=1305276.200421, norm of subgrad 1143.026334	dualbound = 3716550.200421, lowerbound=1305276.200421, norm of subgrad 35.661585	 stepsize= 1.000000 
-dualbound = 3716644.443410, lowerbound=1300623.443410, norm of subgrad 1140.961193	dualbound = 3716644.443410, lowerbound=1300623.443410, norm of subgrad 35.542130	 stepsize= 1.000000 
-dualbound = 3716693.770718, lowerbound=1298765.770718, norm of subgrad 1140.148574	dualbound = 3716693.770718, lowerbound=1298765.770718, norm of subgrad 34.961798	 stepsize= 1.000000 
-dualbound = 3716743.694043, lowerbound=1300514.694043, norm of subgrad 1140.941144	dualbound = 3716743.694043, lowerbound=1300514.694043, norm of subgrad 35.803957	 stepsize= 1.000000 
-dualbound = 3716813.411975, lowerbound=1302063.411975, norm of subgrad 1141.617892	dualbound = 3716813.411975, lowerbound=1302063.411975, norm of subgrad 36.023852	 stepsize= 1.000000 
-dualbound = 3716892.116791, lowerbound=1299874.116791, norm of subgrad 1140.648113	dualbound = 3716892.116791, lowerbound=1299874.116791, norm of subgrad 35.814869	 stepsize= 1.000000 
-dualbound = 3716949.375686, lowerbound=1300606.375686, norm of subgrad 1140.969928	dualbound = 3716949.375686, lowerbound=1300606.375686, norm of subgrad 35.542354	 stepsize= 1.000000 
-dualbound = 3717005.944238, lowerbound=1296831.944238, norm of subgrad 1139.303271	dualbound = 3717005.944238, lowerbound=1296831.944238, norm of subgrad 35.164877	 stepsize= 1.000000 
-dualbound = 3717086.025828, lowerbound=1302794.025828, norm of subgrad 1141.926454	dualbound = 3717086.025828, lowerbound=1302794.025828, norm of subgrad 35.806167	 stepsize= 1.000000 
-dualbound = 3717137.324687, lowerbound=1302412.324687, norm of subgrad 1141.730408	dualbound = 3717137.324687, lowerbound=1302412.324687, norm of subgrad 34.457203	 stepsize= 1.000000 
-dualbound = 3717217.963987, lowerbound=1300352.963987, norm of subgrad 1140.861501	dualbound = 3717217.963987, lowerbound=1300352.963987, norm of subgrad 35.953293	 stepsize= 1.000000 
-dualbound = 3717260.026085, lowerbound=1303615.026085, norm of subgrad 1142.288504	dualbound = 3717260.026085, lowerbound=1303615.026085, norm of subgrad 35.356217	 stepsize= 1.000000 
-dualbound = 3717306.989690, lowerbound=1300553.989690, norm of subgrad 1140.957488	dualbound = 3717306.989690, lowerbound=1300553.989690, norm of subgrad 35.734628	 stepsize= 1.000000 
-dualbound = 3717388.597277, lowerbound=1305482.597277, norm of subgrad 1143.125364	dualbound = 3717388.597277, lowerbound=1305482.597277, norm of subgrad 36.532281	 stepsize= 1.000000 
-dualbound = 3717434.438074, lowerbound=1296085.438074, norm of subgrad 1138.980877	dualbound = 3717434.438074, lowerbound=1296085.438074, norm of subgrad 35.182962	 stepsize= 1.000000 
-dualbound = 3717543.781648, lowerbound=1303958.781648, norm of subgrad 1142.430209	dualbound = 3717543.781648, lowerbound=1303958.781648, norm of subgrad 36.018656	 stepsize= 1.000000 
-dualbound = 3717565.212997, lowerbound=1300738.212997, norm of subgrad 1141.054430	dualbound = 3717565.212997, lowerbound=1300738.212997, norm of subgrad 35.894726	 stepsize= 1.000000 
-dualbound = 3717625.814144, lowerbound=1294571.814144, norm of subgrad 1138.334667	dualbound = 3717625.814144, lowerbound=1294571.814144, norm of subgrad 35.980566	 stepsize= 1.000000 
-dualbound = 3717682.711069, lowerbound=1305566.711069, norm of subgrad 1143.169152	dualbound = 3717682.711069, lowerbound=1305566.711069, norm of subgrad 36.412868	 stepsize= 1.000000 
-dualbound = 3717743.025922, lowerbound=1300478.025922, norm of subgrad 1140.957942	dualbound = 3717743.025922, lowerbound=1300478.025922, norm of subgrad 36.977221	 stepsize= 1.000000 
-dualbound = 3717793.321273, lowerbound=1308171.321273, norm of subgrad 1144.290750	dualbound = 3717793.321273, lowerbound=1308171.321273, norm of subgrad 35.781215	 stepsize= 1.000000 
-dualbound = 3717887.941564, lowerbound=1301512.941564, norm of subgrad 1141.378965	dualbound = 3717887.941564, lowerbound=1301512.941564, norm of subgrad 36.436524	 stepsize= 1.000000 
-dualbound = 3717930.938399, lowerbound=1304570.938399, norm of subgrad 1142.709035	dualbound = 3717930.938399, lowerbound=1304570.938399, norm of subgrad 35.440046	 stepsize= 1.000000 
-dualbound = 3718005.926560, lowerbound=1307200.926560, norm of subgrad 1143.878458	dualbound = 3718005.926560, lowerbound=1307200.926560, norm of subgrad 36.496413	 stepsize= 1.000000 
-dualbound = 3718055.324736, lowerbound=1292810.324736, norm of subgrad 1137.543549	dualbound = 3718055.324736, lowerbound=1292810.324736, norm of subgrad 35.276028	 stepsize= 1.000000 
-dualbound = 3718169.561085, lowerbound=1305746.561085, norm of subgrad 1143.216323	dualbound = 3718169.561085, lowerbound=1305746.561085, norm of subgrad 36.210998	 stepsize= 1.000000 
-dualbound = 3718184.485667, lowerbound=1306155.485667, norm of subgrad 1143.405215	dualbound = 3718184.485667, lowerbound=1306155.485667, norm of subgrad 35.141494	 stepsize= 1.000000 
-dualbound = 3718244.749438, lowerbound=1303121.749438, norm of subgrad 1142.098835	dualbound = 3718244.749438, lowerbound=1303121.749438, norm of subgrad 36.445353	 stepsize= 1.000000 
-dualbound = 3718303.789145, lowerbound=1305395.789145, norm of subgrad 1143.075146	dualbound = 3718303.789145, lowerbound=1305395.789145, norm of subgrad 35.833500	 stepsize= 1.000000 
-dualbound = 3718403.890493, lowerbound=1303434.890493, norm of subgrad 1142.209653	dualbound = 3718403.890493, lowerbound=1303434.890493, norm of subgrad 36.167684	 stepsize= 1.000000 
-dualbound = 3718426.756076, lowerbound=1300349.756076, norm of subgrad 1140.889020	dualbound = 3718426.756076, lowerbound=1300349.756076, norm of subgrad 36.067514	 stepsize= 1.000000 
-dualbound = 3718509.244218, lowerbound=1303473.244218, norm of subgrad 1142.240887	dualbound = 3718509.244218, lowerbound=1303473.244218, norm of subgrad 36.379777	 stepsize= 1.000000 
-dualbound = 3718551.198065, lowerbound=1305129.198065, norm of subgrad 1142.973402	dualbound = 3718551.198065, lowerbound=1305129.198065, norm of subgrad 36.068738	 stepsize= 1.000000 
-dualbound = 3718625.336688, lowerbound=1299769.336688, norm of subgrad 1140.573249	dualbound = 3718625.336688, lowerbound=1299769.336688, norm of subgrad 34.815781	 stepsize= 1.000000 
-dualbound = 3718711.337782, lowerbound=1298294.337782, norm of subgrad 1139.938743	dualbound = 3718711.337782, lowerbound=1298294.337782, norm of subgrad 35.383627	 stepsize= 1.000000 
-dualbound = 3718749.163393, lowerbound=1306870.163393, norm of subgrad 1143.691901	dualbound = 3718749.163393, lowerbound=1306870.163393, norm of subgrad 34.624061	 stepsize= 1.000000 
-dualbound = 3718824.052660, lowerbound=1298535.052660, norm of subgrad 1140.073266	dualbound = 3718824.052660, lowerbound=1298535.052660, norm of subgrad 36.150923	 stepsize= 1.000000 
-dualbound = 3718843.937564, lowerbound=1304461.937564, norm of subgrad 1142.676217	dualbound = 3718843.937564, lowerbound=1304461.937564, norm of subgrad 35.593327	 stepsize= 1.000000 
-dualbound = 3718941.360644, lowerbound=1301957.360644, norm of subgrad 1141.561370	dualbound = 3718941.360644, lowerbound=1301957.360644, norm of subgrad 36.089099	 stepsize= 1.000000 
-dualbound = 3719006.346842, lowerbound=1299583.346842, norm of subgrad 1140.543444	dualbound = 3719006.346842, lowerbound=1299583.346842, norm of subgrad 36.345374	 stepsize= 1.000000 
-dualbound = 3719043.652488, lowerbound=1296316.652488, norm of subgrad 1139.119244	dualbound = 3719043.652488, lowerbound=1296316.652488, norm of subgrad 36.239559	 stepsize= 1.000000 
-dualbound = 3719094.446724, lowerbound=1308083.446724, norm of subgrad 1144.261966	dualbound = 3719094.446724, lowerbound=1308083.446724, norm of subgrad 36.094241	 stepsize= 1.000000 
-dualbound = 3719178.404689, lowerbound=1297594.404689, norm of subgrad 1139.677764	dualbound = 3719178.404689, lowerbound=1297594.404689, norm of subgrad 36.809754	 stepsize= 1.000000 
-dualbound = 3719248.157770, lowerbound=1303778.157770, norm of subgrad 1142.374789	dualbound = 3719248.157770, lowerbound=1303778.157770, norm of subgrad 36.218132	 stepsize= 1.000000 
-dualbound = 3719287.058527, lowerbound=1302107.058527, norm of subgrad 1141.655841	dualbound = 3719287.058527, lowerbound=1302107.058527, norm of subgrad 36.192551	 stepsize= 1.000000 
-dualbound = 3719362.768189, lowerbound=1300906.768189, norm of subgrad 1141.122591	dualbound = 3719362.768189, lowerbound=1300906.768189, norm of subgrad 36.465184	 stepsize= 1.000000 
-dualbound = 3719431.781205, lowerbound=1305575.781205, norm of subgrad 1143.143377	dualbound = 3719431.781205, lowerbound=1305575.781205, norm of subgrad 35.637242	 stepsize= 1.000000 
-dualbound = 3719485.819931, lowerbound=1299268.819931, norm of subgrad 1140.406866	dualbound = 3719485.819931, lowerbound=1299268.819931, norm of subgrad 36.235876	 stepsize= 1.000000 
-dualbound = 3719546.256922, lowerbound=1303520.256922, norm of subgrad 1142.227323	dualbound = 3719546.256922, lowerbound=1303520.256922, norm of subgrad 34.977664	 stepsize= 1.000000 
-dualbound = 3719651.911471, lowerbound=1308090.911471, norm of subgrad 1144.233766	dualbound = 3719651.911471, lowerbound=1308090.911471, norm of subgrad 35.856025	 stepsize= 1.000000 
-dualbound = 3719662.793939, lowerbound=1299329.793939, norm of subgrad 1140.418254	dualbound = 3719662.793939, lowerbound=1299329.793939, norm of subgrad 35.140895	 stepsize= 1.000000 
-dualbound = 3719744.979610, lowerbound=1300678.979610, norm of subgrad 1141.009632	dualbound = 3719744.979610, lowerbound=1300678.979610, norm of subgrad 36.141191	 stepsize= 1.000000 
-dualbound = 3719798.083535, lowerbound=1297056.083535, norm of subgrad 1139.403828	dualbound = 3719798.083535, lowerbound=1297056.083535, norm of subgrad 35.186701	 stepsize= 1.000000 
-dualbound = 3719877.409738, lowerbound=1300143.409738, norm of subgrad 1140.772287	dualbound = 3719877.409738, lowerbound=1300143.409738, norm of subgrad 36.018415	 stepsize= 1.000000 
-dualbound = 3719913.972688, lowerbound=1302384.972688, norm of subgrad 1141.774046	dualbound = 3719913.972688, lowerbound=1302384.972688, norm of subgrad 36.049451	 stepsize= 1.000000 
-dualbound = 3719985.476775, lowerbound=1301249.476775, norm of subgrad 1141.246458	dualbound = 3719985.476775, lowerbound=1301249.476775, norm of subgrad 35.573924	 stepsize= 1.000000 
-dualbound = 3720075.884086, lowerbound=1301293.884086, norm of subgrad 1141.283437	dualbound = 3720075.884086, lowerbound=1301293.884086, norm of subgrad 36.392407	 stepsize= 1.000000 
-dualbound = 3720112.269421, lowerbound=1301060.269421, norm of subgrad 1141.171884	dualbound = 3720112.269421, lowerbound=1301060.269421, norm of subgrad 35.346645	 stepsize= 1.000000 
-dualbound = 3720186.942695, lowerbound=1303033.942695, norm of subgrad 1142.058205	dualbound = 3720186.942695, lowerbound=1303033.942695, norm of subgrad 36.574216	 stepsize= 1.000000 
-dualbound = 3720235.441857, lowerbound=1302772.441857, norm of subgrad 1141.927512	dualbound = 3720235.441857, lowerbound=1302772.441857, norm of subgrad 35.700128	 stepsize= 1.000000 
-dualbound = 3720311.304970, lowerbound=1298328.304970, norm of subgrad 1139.974256	dualbound = 3720311.304970, lowerbound=1298328.304970, norm of subgrad 35.900740	 stepsize= 1.000000 
-dualbound = 3720382.823454, lowerbound=1302486.823454, norm of subgrad 1141.780988	dualbound = 3720382.823454, lowerbound=1302486.823454, norm of subgrad 35.334381	 stepsize= 1.000000 
-dualbound = 3720454.445405, lowerbound=1302309.445405, norm of subgrad 1141.701119	dualbound = 3720454.445405, lowerbound=1302309.445405, norm of subgrad 35.265024	 stepsize= 1.000000 
-dualbound = 3720496.279109, lowerbound=1307583.279109, norm of subgrad 1144.011049	dualbound = 3720496.279109, lowerbound=1307583.279109, norm of subgrad 34.926118	 stepsize= 1.000000 
-dualbound = 3720581.865969, lowerbound=1297300.865969, norm of subgrad 1139.475698	dualbound = 3720581.865969, lowerbound=1297300.865969, norm of subgrad 34.490388	 stepsize= 1.000000 
-dualbound = 3720645.298582, lowerbound=1306247.298582, norm of subgrad 1143.407757	dualbound = 3720645.298582, lowerbound=1306247.298582, norm of subgrad 34.603939	 stepsize= 1.000000 
-dualbound = 3720685.382483, lowerbound=1303545.382483, norm of subgrad 1142.263272	dualbound = 3720685.382483, lowerbound=1303545.382483, norm of subgrad 35.497661	 stepsize= 1.000000 
-dualbound = 3720756.000003, lowerbound=1297748.000003, norm of subgrad 1139.698206	dualbound = 3720756.000003, lowerbound=1297748.000003, norm of subgrad 35.137125	 stepsize= 1.000000 
-dualbound = 3720812.043631, lowerbound=1303576.043631, norm of subgrad 1142.281946	dualbound = 3720812.043631, lowerbound=1303576.043631, norm of subgrad 35.889325	 stepsize= 1.000000 
-dualbound = 3720874.101354, lowerbound=1303077.101355, norm of subgrad 1142.053896	dualbound = 3720874.101354, lowerbound=1303077.101355, norm of subgrad 35.665918	 stepsize= 1.000000 
-dualbound = 3720924.152914, lowerbound=1303693.152914, norm of subgrad 1142.328391	dualbound = 3720924.152914, lowerbound=1303693.152914, norm of subgrad 35.651810	 stepsize= 1.000000 
-dualbound = 3720996.907478, lowerbound=1303891.907478, norm of subgrad 1142.407067	dualbound = 3720996.907478, lowerbound=1303891.907478, norm of subgrad 35.703705	 stepsize= 1.000000 
-dualbound = 3721049.979477, lowerbound=1301447.979477, norm of subgrad 1141.343060	dualbound = 3721049.979477, lowerbound=1301447.979477, norm of subgrad 35.624037	 stepsize= 1.000000 
-dualbound = 3721136.609744, lowerbound=1304224.609744, norm of subgrad 1142.525540	dualbound = 3721136.609744, lowerbound=1304224.609744, norm of subgrad 35.023282	 stepsize= 1.000000 
-dualbound = 3721194.419354, lowerbound=1298625.419354, norm of subgrad 1140.090970	dualbound = 3721194.419354, lowerbound=1298625.419354, norm of subgrad 35.210930	 stepsize= 1.000000 
-dualbound = 3721234.108600, lowerbound=1305003.108600, norm of subgrad 1142.923055	dualbound = 3721234.108600, lowerbound=1305003.108600, norm of subgrad 36.189629	 stepsize= 1.000000 
-dualbound = 3721303.057527, lowerbound=1299299.057527, norm of subgrad 1140.367948	dualbound = 3721303.057527, lowerbound=1299299.057527, norm of subgrad 34.769943	 stepsize= 1.000000 
-dualbound = 3721378.236614, lowerbound=1306031.236614, norm of subgrad 1143.340385	dualbound = 3721378.236614, lowerbound=1306031.236614, norm of subgrad 35.653599	 stepsize= 1.000000 
-dualbound = 3721414.643953, lowerbound=1302261.643953, norm of subgrad 1141.701206	dualbound = 3721414.643953, lowerbound=1302261.643953, norm of subgrad 35.445837	 stepsize= 1.000000 
-dualbound = 3721489.150779, lowerbound=1297454.150779, norm of subgrad 1139.576742	dualbound = 3721489.150779, lowerbound=1297454.150779, norm of subgrad 35.433132	 stepsize= 1.000000 
-dualbound = 3721539.456477, lowerbound=1303361.456477, norm of subgrad 1142.183635	dualbound = 3721539.456477, lowerbound=1303361.456477, norm of subgrad 35.669394	 stepsize= 1.000000 
-dualbound = 3721623.205582, lowerbound=1298891.205582, norm of subgrad 1140.209281	dualbound = 3721623.205582, lowerbound=1298891.205582, norm of subgrad 35.633539	 stepsize= 1.000000 
-dualbound = 3721676.701424, lowerbound=1305658.701424, norm of subgrad 1143.185331	dualbound = 3721676.701424, lowerbound=1305658.701424, norm of subgrad 35.601908	 stepsize= 1.000000 
-dualbound = 3721764.731981, lowerbound=1296290.731981, norm of subgrad 1139.055193	dualbound = 3721764.731981, lowerbound=1296290.731981, norm of subgrad 35.270817	 stepsize= 1.000000 
-dualbound = 3721800.293138, lowerbound=1299992.293138, norm of subgrad 1140.709119	dualbound = 3721800.293138, lowerbound=1299992.293138, norm of subgrad 35.504382	 stepsize= 1.000000 
-dualbound = 3721872.091173, lowerbound=1301914.091173, norm of subgrad 1141.553368	dualbound = 3721872.091173, lowerbound=1301914.091173, norm of subgrad 36.080438	 stepsize= 1.000000 
-dualbound = 3721918.811686, lowerbound=1308203.811686, norm of subgrad 1144.301014	dualbound = 3721918.811686, lowerbound=1308203.811686, norm of subgrad 35.605063	 stepsize= 1.000000 
-dualbound = 3721977.713741, lowerbound=1298652.713741, norm of subgrad 1140.118289	dualbound = 3721977.713741, lowerbound=1298652.713741, norm of subgrad 35.719771	 stepsize= 1.000000 
-dualbound = 3722037.905393, lowerbound=1302521.905393, norm of subgrad 1141.816494	dualbound = 3722037.905393, lowerbound=1302521.905393, norm of subgrad 35.821665	 stepsize= 1.000000 
-dualbound = 3722100.171504, lowerbound=1305991.171504, norm of subgrad 1143.346042	dualbound = 3722100.171504, lowerbound=1305991.171504, norm of subgrad 36.211409	 stepsize= 1.000000 
-dualbound = 3722147.801863, lowerbound=1300276.801863, norm of subgrad 1140.824177	dualbound = 3722147.801863, lowerbound=1300276.801863, norm of subgrad 35.364253	 stepsize= 1.000000 
-dualbound = 3722258.098063, lowerbound=1308259.098063, norm of subgrad 1144.306820	dualbound = 3722258.098063, lowerbound=1308259.098063, norm of subgrad 35.906771	 stepsize= 1.000000 
-dualbound = 3722283.941126, lowerbound=1300780.941126, norm of subgrad 1141.045547	dualbound = 3722283.941126, lowerbound=1300780.941126, norm of subgrad 35.069118	 stepsize= 1.000000 
-dualbound = 3722358.004601, lowerbound=1302569.004601, norm of subgrad 1141.816537	dualbound = 3722358.004601, lowerbound=1302569.004601, norm of subgrad 35.356237	 stepsize= 1.000000 
-dualbound = 3722419.102204, lowerbound=1303492.102204, norm of subgrad 1142.217187	dualbound = 3722419.102204, lowerbound=1303492.102204, norm of subgrad 35.058488	 stepsize= 1.000000 
-dualbound = 3722495.351535, lowerbound=1297052.351535, norm of subgrad 1139.407895	dualbound = 3722495.351535, lowerbound=1297052.351535, norm of subgrad 35.696629	 stepsize= 1.000000 
-dualbound = 3722528.143407, lowerbound=1302242.143407, norm of subgrad 1141.684345	dualbound = 3722528.143407, lowerbound=1302242.143407, norm of subgrad 35.125374	 stepsize= 1.000000 
-dualbound = 3722602.989779, lowerbound=1301139.989779, norm of subgrad 1141.199803	dualbound = 3722602.989779, lowerbound=1301139.989779, norm of subgrad 35.662955	 stepsize= 1.000000 
-dualbound = 3722677.152709, lowerbound=1305004.152709, norm of subgrad 1142.883700	dualbound = 3722677.152709, lowerbound=1305004.152709, norm of subgrad 35.400041	 stepsize= 1.000000 
-dualbound = 3722734.436691, lowerbound=1304092.436691, norm of subgrad 1142.504458	dualbound = 3722734.436691, lowerbound=1304092.436691, norm of subgrad 35.795027	 stepsize= 1.000000 
-dualbound = 3722800.277983, lowerbound=1303049.277983, norm of subgrad 1142.044342	dualbound = 3722800.277983, lowerbound=1303049.277983, norm of subgrad 35.802811	 stepsize= 1.000000 
-dualbound = 3722853.822777, lowerbound=1296691.822777, norm of subgrad 1139.261086	dualbound = 3722853.822777, lowerbound=1296691.822777, norm of subgrad 35.742759	 stepsize= 1.000000 
-dualbound = 3722923.663598, lowerbound=1301782.663598, norm of subgrad 1141.487040	dualbound = 3722923.663598, lowerbound=1301782.663598, norm of subgrad 35.774863	 stepsize= 1.000000 
-dualbound = 3722998.509831, lowerbound=1302142.509831, norm of subgrad 1141.621439	dualbound = 3722998.509831, lowerbound=1302142.509831, norm of subgrad 35.097667	 stepsize= 1.000000 
-dualbound = 3723040.264431, lowerbound=1299319.264431, norm of subgrad 1140.443889	dualbound = 3723040.264431, lowerbound=1299319.264431, norm of subgrad 36.534293	 stepsize= 1.000000 
-dualbound = 3723101.278103, lowerbound=1299295.278103, norm of subgrad 1140.408821	dualbound = 3723101.278103, lowerbound=1299295.278103, norm of subgrad 36.027957	 stepsize= 1.000000 
-dualbound = 3723171.215727, lowerbound=1307321.215727, norm of subgrad 1143.941963	dualbound = 3723171.215727, lowerbound=1307321.215727, norm of subgrad 36.768704	 stepsize= 1.000000 
-dualbound = 3723236.940791, lowerbound=1306463.940791, norm of subgrad 1143.551022	dualbound = 3723236.940791, lowerbound=1306463.940791, norm of subgrad 36.203937	 stepsize= 1.000000 
-dualbound = 3723287.341025, lowerbound=1301159.341025, norm of subgrad 1141.220111	dualbound = 3723287.341025, lowerbound=1301159.341025, norm of subgrad 35.698743	 stepsize= 1.000000 
-dualbound = 3723347.185768, lowerbound=1301517.185768, norm of subgrad 1141.386957	dualbound = 3723347.185768, lowerbound=1301517.185768, norm of subgrad 36.150308	 stepsize= 1.000000 
-dualbound = 3723420.901133, lowerbound=1308994.901133, norm of subgrad 1144.646190	dualbound = 3723420.901133, lowerbound=1308994.901133, norm of subgrad 35.968255	 stepsize= 1.000000 
-dualbound = 3723493.166869, lowerbound=1300291.166869, norm of subgrad 1140.819515	dualbound = 3723493.166869, lowerbound=1300291.166869, norm of subgrad 35.359097	 stepsize= 1.000000 
-dualbound = 3723546.623709, lowerbound=1304843.623709, norm of subgrad 1142.853282	dualbound = 3723546.623709, lowerbound=1304843.623709, norm of subgrad 36.379346	 stepsize= 1.000000 
-dualbound = 3723597.262084, lowerbound=1305012.262084, norm of subgrad 1142.892936	dualbound = 3723597.262084, lowerbound=1305012.262084, norm of subgrad 35.251076	 stepsize= 1.000000 
-dualbound = 3723675.991357, lowerbound=1300024.991357, norm of subgrad 1140.698905	dualbound = 3723675.991357, lowerbound=1300024.991357, norm of subgrad 35.323212	 stepsize= 1.000000 
-dualbound = 3723748.154418, lowerbound=1303792.154418, norm of subgrad 1142.351590	dualbound = 3723748.154418, lowerbound=1303792.154418, norm of subgrad 35.315196	 stepsize= 1.000000 
-dualbound = 3723766.086191, lowerbound=1297930.086191, norm of subgrad 1139.815374	dualbound = 3723766.086191, lowerbound=1297930.086191, norm of subgrad 35.593985	 stepsize= 1.000000 
-dualbound = 3723862.700251, lowerbound=1299627.700251, norm of subgrad 1140.558504	dualbound = 3723862.700251, lowerbound=1299627.700251, norm of subgrad 36.641698	 stepsize= 1.000000 
-dualbound = 3723871.961880, lowerbound=1303923.961880, norm of subgrad 1142.443417	dualbound = 3723871.961880, lowerbound=1303923.961880, norm of subgrad 35.528322	 stepsize= 1.000000 
-dualbound = 3723982.600918, lowerbound=1306146.600918, norm of subgrad 1143.410950	dualbound = 3723982.600918, lowerbound=1306146.600918, norm of subgrad 36.778241	 stepsize= 1.000000 
-dualbound = 3724029.731861, lowerbound=1304480.731861, norm of subgrad 1142.669564	dualbound = 3724029.731861, lowerbound=1304480.731861, norm of subgrad 35.498323	 stepsize= 1.000000 
-dualbound = 3724125.348241, lowerbound=1304110.348241, norm of subgrad 1142.489102	dualbound = 3724125.348241, lowerbound=1304110.348241, norm of subgrad 35.589554	 stepsize= 1.000000 
-dualbound = 3724169.429996, lowerbound=1302873.429996, norm of subgrad 1141.945896	dualbound = 3724169.429996, lowerbound=1302873.429996, norm of subgrad 34.800600	 stepsize= 1.000000 
-dualbound = 3724224.649078, lowerbound=1303424.649078, norm of subgrad 1142.239313	dualbound = 3724224.649078, lowerbound=1303424.649078, norm of subgrad 36.622658	 stepsize= 1.000000 
-dualbound = 3724256.266053, lowerbound=1303904.266053, norm of subgrad 1142.413789	dualbound = 3724256.266053, lowerbound=1303904.266053, norm of subgrad 35.165565	 stepsize= 1.000000 
-dualbound = 3724371.880999, lowerbound=1304915.880999, norm of subgrad 1142.842894	dualbound = 3724371.880999, lowerbound=1304915.880999, norm of subgrad 35.911209	 stepsize= 1.000000 
-dualbound = 3724408.822982, lowerbound=1296325.822982, norm of subgrad 1139.074108	dualbound = 3724408.822982, lowerbound=1296325.822982, norm of subgrad 34.654610	 stepsize= 1.000000 
-dualbound = 3724481.037952, lowerbound=1304196.037952, norm of subgrad 1142.545421	dualbound = 3724481.037952, lowerbound=1304196.037952, norm of subgrad 35.863839	 stepsize= 1.000000 
-dualbound = 3724553.083349, lowerbound=1299459.083349, norm of subgrad 1140.431534	dualbound = 3724553.083349, lowerbound=1299459.083349, norm of subgrad 34.598344	 stepsize= 1.000000 
-dualbound = 3724607.735858, lowerbound=1307601.735858, norm of subgrad 1144.024797	dualbound = 3724607.735858, lowerbound=1307601.735858, norm of subgrad 35.293803	 stepsize= 1.000000 
-dualbound = 3724648.358670, lowerbound=1299944.358670, norm of subgrad 1140.672766	dualbound = 3724648.358670, lowerbound=1299944.358670, norm of subgrad 35.080234	 stepsize= 1.000000 
-dualbound = 3724728.853409, lowerbound=1302223.853409, norm of subgrad 1141.664510	dualbound = 3724728.853409, lowerbound=1302223.853409, norm of subgrad 35.418847	 stepsize= 1.000000 
-dualbound = 3724788.481346, lowerbound=1299637.481346, norm of subgrad 1140.508869	dualbound = 3724788.481346, lowerbound=1299637.481346, norm of subgrad 34.389358	 stepsize= 1.000000 
-dualbound = 3724851.252523, lowerbound=1308072.252523, norm of subgrad 1144.233041	dualbound = 3724851.252523, lowerbound=1308072.252523, norm of subgrad 35.493255	 stepsize= 1.000000 
-dualbound = 3724896.570311, lowerbound=1300771.570311, norm of subgrad 1141.030924	dualbound = 3724896.570311, lowerbound=1300771.570311, norm of subgrad 35.004540	 stepsize= 1.000000 
-dualbound = 3724975.343572, lowerbound=1301640.343572, norm of subgrad 1141.394911	dualbound = 3724975.343572, lowerbound=1301640.343572, norm of subgrad 34.939566	 stepsize= 1.000000 
-dualbound = 3725029.895505, lowerbound=1303581.895505, norm of subgrad 1142.253866	dualbound = 3725029.895505, lowerbound=1303581.895505, norm of subgrad 34.879105	 stepsize= 1.000000 
-dualbound = 3725090.745640, lowerbound=1296396.745640, norm of subgrad 1139.118407	dualbound = 3725090.745640, lowerbound=1296396.745640, norm of subgrad 35.423864	 stepsize= 1.000000 
-dualbound = 3725139.374157, lowerbound=1307186.374157, norm of subgrad 1143.864666	dualbound = 3725139.374157, lowerbound=1307186.374157, norm of subgrad 35.897472	 stepsize= 1.000000 
-dualbound = 3725187.550487, lowerbound=1305709.550487, norm of subgrad 1143.241685	dualbound = 3725187.550487, lowerbound=1305709.550487, norm of subgrad 36.608419	 stepsize= 1.000000 
-dualbound = 3725253.081376, lowerbound=1299193.081376, norm of subgrad 1140.343843	dualbound = 3725253.081376, lowerbound=1299193.081376, norm of subgrad 35.447579	 stepsize= 1.000000 
-dualbound = 3725353.466378, lowerbound=1304575.466378, norm of subgrad 1142.729831	dualbound = 3725353.466378, lowerbound=1304575.466378, norm of subgrad 36.829133	 stepsize= 1.000000 
-dualbound = 3725391.703052, lowerbound=1305877.703052, norm of subgrad 1143.288548	dualbound = 3725391.703052, lowerbound=1305877.703052, norm of subgrad 35.626348	 stepsize= 1.000000 
-dualbound = 3725465.768621, lowerbound=1303684.768621, norm of subgrad 1142.324721	dualbound = 3725465.768621, lowerbound=1303684.768621, norm of subgrad 35.987019	 stepsize= 1.000000 
-dualbound = 3725508.801299, lowerbound=1298781.801299, norm of subgrad 1140.192879	dualbound = 3725508.801299, lowerbound=1298781.801299, norm of subgrad 36.069831	 stepsize= 1.000000 
-dualbound = 3725588.705726, lowerbound=1299323.705726, norm of subgrad 1140.425230	dualbound = 3725588.705726, lowerbound=1299323.705726, norm of subgrad 36.412971	 stepsize= 1.000000 
-dualbound = 3725616.280993, lowerbound=1304865.280993, norm of subgrad 1142.868007	dualbound = 3725616.280993, lowerbound=1304865.280993, norm of subgrad 36.188054	 stepsize= 1.000000 
-dualbound = 3725703.746541, lowerbound=1302143.746541, norm of subgrad 1141.639937	dualbound = 3725703.746541, lowerbound=1302143.746541, norm of subgrad 35.853390	 stepsize= 1.000000 
-dualbound = 3725762.785726, lowerbound=1306347.785726, norm of subgrad 1143.494550	dualbound = 3725762.785726, lowerbound=1306347.785726, norm of subgrad 35.931034	 stepsize= 1.000000 
-dualbound = 3725820.942042, lowerbound=1301776.942042, norm of subgrad 1141.457376	dualbound = 3725820.942042, lowerbound=1301776.942042, norm of subgrad 34.729761	 stepsize= 1.000000 
-dualbound = 3725907.281918, lowerbound=1302808.281918, norm of subgrad 1141.909927	dualbound = 3725907.281918, lowerbound=1302808.281918, norm of subgrad 35.161625	 stepsize= 1.000000 
-dualbound = 3725955.443061, lowerbound=1305600.443061, norm of subgrad 1143.160288	dualbound = 3725955.443061, lowerbound=1305600.443061, norm of subgrad 35.540978	 stepsize= 1.000000 
-dualbound = 3726012.796111, lowerbound=1299774.796111, norm of subgrad 1140.609397	dualbound = 3726012.796111, lowerbound=1299774.796111, norm of subgrad 35.670058	 stepsize= 1.000000 
-dualbound = 3726047.111720, lowerbound=1302119.111720, norm of subgrad 1141.627396	dualbound = 3726047.111720, lowerbound=1302119.111720, norm of subgrad 35.047334	 stepsize= 1.000000 
-dualbound = 3726124.871413, lowerbound=1305197.871413, norm of subgrad 1142.983758	dualbound = 3726124.871413, lowerbound=1305197.871413, norm of subgrad 35.941059	 stepsize= 1.000000 
-dualbound = 3726205.306502, lowerbound=1304590.306502, norm of subgrad 1142.691694	dualbound = 3726205.306502, lowerbound=1304590.306502, norm of subgrad 35.134528	 stepsize= 1.000000 
-dualbound = 3726259.762731, lowerbound=1300957.762731, norm of subgrad 1141.163337	dualbound = 3726259.762731, lowerbound=1300957.762731, norm of subgrad 36.748554	 stepsize= 1.000000 
-dualbound = 3726302.831844, lowerbound=1301249.831844, norm of subgrad 1141.247051	dualbound = 3726302.831844, lowerbound=1301249.831844, norm of subgrad 35.186206	 stepsize= 1.000000 
-dualbound = 3726354.573734, lowerbound=1305349.573734, norm of subgrad 1143.075489	dualbound = 3726354.573734, lowerbound=1305349.573734, norm of subgrad 36.383264	 stepsize= 1.000000 
-dualbound = 3726426.867480, lowerbound=1301687.867480, norm of subgrad 1141.442012	dualbound = 3726426.867480, lowerbound=1301687.867480, norm of subgrad 35.697251	 stepsize= 1.000000 
-dualbound = 3726510.347389, lowerbound=1303348.347389, norm of subgrad 1142.169579	dualbound = 3726510.347389, lowerbound=1303348.347389, norm of subgrad 35.867533	 stepsize= 1.000000 
-dualbound = 3726582.185709, lowerbound=1308612.185709, norm of subgrad 1144.456284	dualbound = 3726582.185709, lowerbound=1308612.185709, norm of subgrad 35.211338	 stepsize= 1.000000 
-dualbound = 3726621.753680, lowerbound=1305059.753680, norm of subgrad 1142.904963	dualbound = 3726621.753680, lowerbound=1305059.753680, norm of subgrad 34.807585	 stepsize= 1.000000 
-dualbound = 3726701.956008, lowerbound=1305990.956008, norm of subgrad 1143.327143	dualbound = 3726701.956008, lowerbound=1305990.956008, norm of subgrad 35.863663	 stepsize= 1.000000 
-dualbound = 3726738.368359, lowerbound=1298618.368359, norm of subgrad 1140.090509	dualbound = 3726738.368359, lowerbound=1298618.368359, norm of subgrad 34.991604	 stepsize= 1.000000 
-dualbound = 3726807.612461, lowerbound=1304743.612461, norm of subgrad 1142.799025	dualbound = 3726807.612461, lowerbound=1304743.612461, norm of subgrad 36.266294	 stepsize= 1.000000 
-dualbound = 3726862.095628, lowerbound=1300834.095628, norm of subgrad 1141.075850	dualbound = 3726862.095628, lowerbound=1300834.095628, norm of subgrad 35.699904	 stepsize= 1.000000 
-dualbound = 3726935.991215, lowerbound=1306983.991215, norm of subgrad 1143.773575	dualbound = 3726935.991215, lowerbound=1306983.991215, norm of subgrad 36.164839	 stepsize= 1.000000 
-dualbound = 3726986.400240, lowerbound=1304984.400240, norm of subgrad 1142.903058	dualbound = 3726986.400240, lowerbound=1304984.400240, norm of subgrad 35.963996	 stepsize= 1.000000 
-dualbound = 3727050.467944, lowerbound=1303539.467944, norm of subgrad 1142.268562	dualbound = 3727050.467944, lowerbound=1303539.467944, norm of subgrad 36.084175	 stepsize= 1.000000 
-dualbound = 3727105.095123, lowerbound=1298988.095123, norm of subgrad 1140.259661	dualbound = 3727105.095123, lowerbound=1298988.095123, norm of subgrad 35.477136	 stepsize= 1.000000 
-dualbound = 3727188.183224, lowerbound=1308734.183224, norm of subgrad 1144.514388	dualbound = 3727188.183224, lowerbound=1308734.183224, norm of subgrad 35.525879	 stepsize= 1.000000 
-dualbound = 3727232.620264, lowerbound=1300111.620264, norm of subgrad 1140.775447	dualbound = 3727232.620264, lowerbound=1300111.620264, norm of subgrad 36.075435	 stepsize= 1.000000 
-dualbound = 3727282.217715, lowerbound=1306758.217715, norm of subgrad 1143.666568	dualbound = 3727282.217715, lowerbound=1306758.217715, norm of subgrad 35.561179	 stepsize= 1.000000 
-dualbound = 3727358.309503, lowerbound=1303374.309503, norm of subgrad 1142.155116	dualbound = 3727358.309503, lowerbound=1303374.309503, norm of subgrad 34.929812	 stepsize= 1.000000 
-dualbound = 3727439.536927, lowerbound=1306638.536927, norm of subgrad 1143.606810	dualbound = 3727439.536927, lowerbound=1306638.536927, norm of subgrad 35.766289	 stepsize= 1.000000 
-dualbound = 3727478.870019, lowerbound=1302686.870019, norm of subgrad 1141.886540	dualbound = 3727478.870019, lowerbound=1302686.870019, norm of subgrad 35.458893	 stepsize= 1.000000 
-dualbound = 3727522.573210, lowerbound=1308263.573210, norm of subgrad 1144.342420	dualbound = 3727522.573210, lowerbound=1308263.573210, norm of subgrad 36.051397	 stepsize= 1.000000 
-dualbound = 3727586.727213, lowerbound=1297446.727213, norm of subgrad 1139.595423	dualbound = 3727586.727213, lowerbound=1297446.727213, norm of subgrad 35.988248	 stepsize= 1.000000 
-dualbound = 3727661.035007, lowerbound=1307782.035007, norm of subgrad 1144.132438	dualbound = 3727661.035007, lowerbound=1307782.035007, norm of subgrad 36.487091	 stepsize= 1.000000 
-dualbound = 3727705.254262, lowerbound=1299770.254262, norm of subgrad 1140.615296	dualbound = 3727705.254262, lowerbound=1299770.254262, norm of subgrad 35.738204	 stepsize= 1.000000 
-dualbound = 3727781.098046, lowerbound=1308925.098046, norm of subgrad 1144.619193	dualbound = 3727781.098046, lowerbound=1308925.098046, norm of subgrad 36.108777	 stepsize= 1.000000 
-dualbound = 3727838.830905, lowerbound=1302849.830905, norm of subgrad 1141.995986	dualbound = 3727838.830905, lowerbound=1302849.830905, norm of subgrad 36.915212	 stepsize= 1.000000 
-dualbound = 3727890.618570, lowerbound=1305730.618570, norm of subgrad 1143.241277	dualbound = 3727890.618570, lowerbound=1305730.618570, norm of subgrad 36.356398	 stepsize= 1.000000 
-dualbound = 3727964.972996, lowerbound=1304283.972996, norm of subgrad 1142.569023	dualbound = 3727964.972996, lowerbound=1304283.972996, norm of subgrad 35.416866	 stepsize= 1.000000 
-dualbound = 3728030.515228, lowerbound=1302952.515228, norm of subgrad 1141.988842	dualbound = 3728030.515228, lowerbound=1302952.515228, norm of subgrad 35.377143	 stepsize= 1.000000 
-dualbound = 3728084.751208, lowerbound=1302875.751208, norm of subgrad 1141.970994	dualbound = 3728084.751208, lowerbound=1302875.751208, norm of subgrad 35.724445	 stepsize= 1.000000 
-dualbound = 3728153.082330, lowerbound=1302479.082330, norm of subgrad 1141.778911	dualbound = 3728153.082330, lowerbound=1302479.082330, norm of subgrad 35.331730	 stepsize= 1.000000 
-dualbound = 3728232.800804, lowerbound=1300193.800804, norm of subgrad 1140.757117	dualbound = 3728232.800804, lowerbound=1300193.800804, norm of subgrad 34.824108	 stepsize= 1.000000 
-dualbound = 3728294.926813, lowerbound=1307603.926813, norm of subgrad 1144.006087	dualbound = 3728294.926813, lowerbound=1307603.926813, norm of subgrad 34.758107	 stepsize= 1.000000 
-dualbound = 3728351.323664, lowerbound=1308286.323664, norm of subgrad 1144.323085	dualbound = 3728351.323664, lowerbound=1308286.323664, norm of subgrad 35.290181	 stepsize= 1.000000 
-dualbound = 3728389.970411, lowerbound=1303883.970411, norm of subgrad 1142.427665	dualbound = 3728389.970411, lowerbound=1303883.970411, norm of subgrad 35.995093	 stepsize= 1.000000 
-dualbound = 3728429.947161, lowerbound=1301142.947161, norm of subgrad 1141.219500	dualbound = 3728429.947161, lowerbound=1301142.947161, norm of subgrad 35.762784	 stepsize= 1.000000 
-dualbound = 3728517.951969, lowerbound=1300883.951969, norm of subgrad 1141.057821	dualbound = 3728517.951969, lowerbound=1300883.951969, norm of subgrad 34.885596	 stepsize= 1.000000 
-dualbound = 3728586.532025, lowerbound=1302859.532025, norm of subgrad 1141.929303	dualbound = 3728586.532025, lowerbound=1302859.532025, norm of subgrad 34.807759	 stepsize= 1.000000 
-dualbound = 3728650.792589, lowerbound=1306363.792589, norm of subgrad 1143.494990	dualbound = 3728650.792589, lowerbound=1306363.792589, norm of subgrad 35.794700	 stepsize= 1.000000 
-dualbound = 3728650.351698, lowerbound=1300857.351698, norm of subgrad 1141.128105	dualbound = 3728650.351698, lowerbound=1300857.351698, norm of subgrad 36.270637	 stepsize= 1.000000 
-dualbound = 3728729.881771, lowerbound=1305826.881771, norm of subgrad 1143.266759	dualbound = 3728729.881771, lowerbound=1305826.881771, norm of subgrad 36.215053	 stepsize= 1.000000 
-dualbound = 3728796.010229, lowerbound=1305730.010229, norm of subgrad 1143.255007	dualbound = 3728796.010229, lowerbound=1305730.010229, norm of subgrad 36.988221	 stepsize= 1.000000 
-dualbound = 3728846.985356, lowerbound=1300482.985356, norm of subgrad 1140.943463	dualbound = 3728846.985356, lowerbound=1300482.985356, norm of subgrad 36.331462	 stepsize= 1.000000 
-dualbound = 3728922.340910, lowerbound=1299481.340910, norm of subgrad 1140.486888	dualbound = 3728922.340910, lowerbound=1299481.340910, norm of subgrad 36.115863	 stepsize= 1.000000 
-dualbound = 3728993.243396, lowerbound=1308260.243396, norm of subgrad 1144.325672	dualbound = 3728993.243396, lowerbound=1308260.243396, norm of subgrad 35.943045	 stepsize= 1.000000 
-dualbound = 3729067.246164, lowerbound=1302862.246164, norm of subgrad 1141.968146	dualbound = 3729067.246164, lowerbound=1302862.246164, norm of subgrad 36.097130	 stepsize= 1.000000 
-dualbound = 3729114.509340, lowerbound=1304252.509340, norm of subgrad 1142.568820	dualbound = 3729114.509340, lowerbound=1304252.509340, norm of subgrad 35.472006	 stepsize= 1.000000 
-dualbound = 3729194.122973, lowerbound=1306158.122973, norm of subgrad 1143.380131	dualbound = 3729194.122973, lowerbound=1306158.122973, norm of subgrad 35.208147	 stepsize= 1.000000 
-dualbound = 3729221.686106, lowerbound=1297115.686106, norm of subgrad 1139.464210	dualbound = 3729221.686106, lowerbound=1297115.686106, norm of subgrad 35.924409	 stepsize= 1.000000 
-dualbound = 3729280.887266, lowerbound=1300278.887266, norm of subgrad 1140.830350	dualbound = 3729280.887266, lowerbound=1300278.887266, norm of subgrad 35.695954	 stepsize= 1.000000 
-dualbound = 3729380.023873, lowerbound=1303707.023873, norm of subgrad 1142.327021	dualbound = 3729380.023873, lowerbound=1303707.023873, norm of subgrad 36.098983	 stepsize= 1.000000 
-dualbound = 3729439.510187, lowerbound=1300234.510187, norm of subgrad 1140.794245	dualbound = 3729439.510187, lowerbound=1300234.510187, norm of subgrad 35.163707	 stepsize= 1.000000 
-dualbound = 3729491.380988, lowerbound=1310060.380988, norm of subgrad 1145.097542	dualbound = 3729491.380988, lowerbound=1310060.380988, norm of subgrad 35.211799	 stepsize= 1.000000 
-dualbound = 3729542.977358, lowerbound=1303942.977358, norm of subgrad 1142.440798	dualbound = 3729542.977358, lowerbound=1303942.977358, norm of subgrad 35.771446	 stepsize= 1.000000 
-dualbound = 3729625.319361, lowerbound=1302611.319361, norm of subgrad 1141.862216	dualbound = 3729625.319361, lowerbound=1302611.319361, norm of subgrad 36.336511	 stepsize= 1.000000 
-dualbound = 3729648.582826, lowerbound=1300826.582826, norm of subgrad 1141.066862	dualbound = 3729648.582826, lowerbound=1300826.582826, norm of subgrad 35.075112	 stepsize= 1.000000 
-dualbound = 3729745.981818, lowerbound=1307272.981818, norm of subgrad 1143.890721	dualbound = 3729745.981818, lowerbound=1307272.981818, norm of subgrad 36.199434	 stepsize= 1.000000 
-dualbound = 3729782.767300, lowerbound=1300680.767300, norm of subgrad 1140.988504	dualbound = 3729782.767300, lowerbound=1300680.767300, norm of subgrad 34.796343	 stepsize= 1.000000 
-dualbound = 3729883.055001, lowerbound=1295261.055001, norm of subgrad 1138.581598	dualbound = 3729883.055001, lowerbound=1295261.055001, norm of subgrad 34.746046	 stepsize= 1.000000 
-dualbound = 3729913.085985, lowerbound=1306834.085985, norm of subgrad 1143.697113	dualbound = 3729913.085985, lowerbound=1306834.085985, norm of subgrad 35.199872	 stepsize= 1.000000 
-dualbound = 3729967.845033, lowerbound=1305016.845033, norm of subgrad 1142.908065	dualbound = 3729967.845033, lowerbound=1305016.845033, norm of subgrad 35.731765	 stepsize= 1.000000 
-dualbound = 3730028.297687, lowerbound=1301436.297687, norm of subgrad 1141.340570	dualbound = 3730028.297687, lowerbound=1301436.297687, norm of subgrad 35.811348	 stepsize= 1.000000 
-dualbound = 3730119.444605, lowerbound=1303452.444605, norm of subgrad 1142.200265	dualbound = 3730119.444605, lowerbound=1303452.444605, norm of subgrad 35.498548	 stepsize= 1.000000 
-dualbound = 3730168.928222, lowerbound=1296481.928222, norm of subgrad 1139.150968	dualbound = 3730168.928222, lowerbound=1296481.928222, norm of subgrad 35.106746	 stepsize= 1.000000 
-dualbound = 3730226.112519, lowerbound=1306196.112519, norm of subgrad 1143.411174	dualbound = 3730226.112519, lowerbound=1306196.112519, norm of subgrad 35.357945	 stepsize= 1.000000 
-dualbound = 3730273.999407, lowerbound=1306946.999407, norm of subgrad 1143.764399	dualbound = 3730273.999407, lowerbound=1306946.999407, norm of subgrad 36.026197	 stepsize= 1.000000 
-dualbound = 3730322.779809, lowerbound=1305495.779809, norm of subgrad 1143.152999	dualbound = 3730322.779809, lowerbound=1305495.779809, norm of subgrad 36.766566	 stepsize= 1.000000 
-dualbound = 3730385.060360, lowerbound=1300111.060360, norm of subgrad 1140.773010	dualbound = 3730385.060360, lowerbound=1300111.060360, norm of subgrad 36.253007	 stepsize= 1.000000 
-dualbound = 3730451.079230, lowerbound=1305749.079230, norm of subgrad 1143.216112	dualbound = 3730451.079230, lowerbound=1305749.079230, norm of subgrad 35.496744	 stepsize= 1.000000 
-dualbound = 3730497.376681, lowerbound=1303575.376681, norm of subgrad 1142.306604	dualbound = 3730497.376681, lowerbound=1303575.376681, norm of subgrad 36.541722	 stepsize= 1.000000 
-dualbound = 3730571.882923, lowerbound=1301188.882923, norm of subgrad 1141.246635	dualbound = 3730571.882923, lowerbound=1301188.882923, norm of subgrad 36.462395	 stepsize= 1.000000 
-dualbound = 3730627.608416, lowerbound=1304408.608416, norm of subgrad 1142.634941	dualbound = 3730627.608416, lowerbound=1304408.608416, norm of subgrad 35.520776	 stepsize= 1.000000 
-dualbound = 3730710.874190, lowerbound=1305902.874190, norm of subgrad 1143.288185	dualbound = 3730710.874190, lowerbound=1305902.874190, norm of subgrad 35.892419	 stepsize= 1.000000 
-dualbound = 3730748.213744, lowerbound=1302777.213744, norm of subgrad 1141.920844	dualbound = 3730748.213744, lowerbound=1302777.213744, norm of subgrad 35.261020	 stepsize= 1.000000 
-dualbound = 3730838.431025, lowerbound=1307787.431025, norm of subgrad 1144.119937	dualbound = 3730838.431025, lowerbound=1307787.431025, norm of subgrad 36.238340	 stepsize= 1.000000 
-dualbound = 3730876.511050, lowerbound=1305447.511050, norm of subgrad 1143.091646	dualbound = 3730876.511050, lowerbound=1305447.511050, norm of subgrad 35.342326	 stepsize= 1.000000 
-dualbound = 3730956.785690, lowerbound=1305089.785690, norm of subgrad 1142.901039	dualbound = 3730956.785690, lowerbound=1305089.785690, norm of subgrad 34.832092	 stepsize= 1.000000 
-dualbound = 3731031.640117, lowerbound=1305874.640117, norm of subgrad 1143.259656	dualbound = 3731031.640117, lowerbound=1305874.640117, norm of subgrad 35.254141	 stepsize= 1.000000 
-dualbound = 3731091.026945, lowerbound=1301385.026945, norm of subgrad 1141.318986	dualbound = 3731091.026945, lowerbound=1301385.026945, norm of subgrad 35.824389	 stepsize= 1.000000 
-dualbound = 3731124.096689, lowerbound=1301770.096689, norm of subgrad 1141.492486	dualbound = 3731124.096689, lowerbound=1301770.096689, norm of subgrad 35.609967	 stepsize= 1.000000 
-dualbound = 3731201.838063, lowerbound=1304550.838063, norm of subgrad 1142.673111	dualbound = 3731201.838063, lowerbound=1304550.838063, norm of subgrad 35.053407	 stepsize= 1.000000 
-dualbound = 3731282.923899, lowerbound=1301871.923899, norm of subgrad 1141.513436	dualbound = 3731282.923899, lowerbound=1301871.923899, norm of subgrad 35.525847	 stepsize= 1.000000 
-dualbound = 3731318.614228, lowerbound=1298681.614228, norm of subgrad 1140.119123	dualbound = 3731318.614228, lowerbound=1298681.614228, norm of subgrad 35.009860	 stepsize= 1.000000 
-dualbound = 3731403.235327, lowerbound=1302303.235327, norm of subgrad 1141.709786	dualbound = 3731403.235327, lowerbound=1302303.235327, norm of subgrad 35.813700	 stepsize= 1.000000 
-dualbound = 3731447.459772, lowerbound=1303647.459772, norm of subgrad 1142.278626	dualbound = 3731447.459772, lowerbound=1303647.459772, norm of subgrad 34.600931	 stepsize= 1.000000 
-dualbound = 3731516.385016, lowerbound=1304485.385016, norm of subgrad 1142.665911	dualbound = 3731516.385016, lowerbound=1304485.385016, norm of subgrad 35.621977	 stepsize= 1.000000 
-dualbound = 3731582.809446, lowerbound=1306889.809446, norm of subgrad 1143.718851	dualbound = 3731582.809446, lowerbound=1306889.809446, norm of subgrad 35.628983	 stepsize= 1.000000 
-dualbound = 3731627.617362, lowerbound=1302906.617362, norm of subgrad 1141.991952	dualbound = 3731627.617362, lowerbound=1302906.617362, norm of subgrad 35.830265	 stepsize= 1.000000 
-dualbound = 3731680.878964, lowerbound=1305683.878964, norm of subgrad 1143.214275	dualbound = 3731680.878964, lowerbound=1305683.878964, norm of subgrad 36.169899	 stepsize= 1.000000 
-dualbound = 3731721.206919, lowerbound=1305282.206919, norm of subgrad 1143.016276	dualbound = 3731721.206919, lowerbound=1305282.206919, norm of subgrad 35.275033	 stepsize= 1.000000 
-dualbound = 3731834.106094, lowerbound=1300577.106094, norm of subgrad 1140.940448	dualbound = 3731834.106094, lowerbound=1300577.106094, norm of subgrad 35.789652	 stepsize= 1.000000 
-dualbound = 3731867.914626, lowerbound=1304841.914626, norm of subgrad 1142.782532	dualbound = 3731867.914626, lowerbound=1304841.914626, norm of subgrad 33.820238	 stepsize= 1.000000 
-dualbound = 3731968.876301, lowerbound=1303844.876301, norm of subgrad 1142.370289	dualbound = 3731968.876301, lowerbound=1303844.876301, norm of subgrad 35.580355	 stepsize= 1.000000 
-dualbound = 3731989.049360, lowerbound=1303884.049360, norm of subgrad 1142.427700	dualbound = 3731989.049360, lowerbound=1303884.049360, norm of subgrad 35.737558	 stepsize= 1.000000 
-dualbound = 3732043.535664, lowerbound=1303207.535664, norm of subgrad 1142.114940	dualbound = 3732043.535664, lowerbound=1303207.535664, norm of subgrad 35.685940	 stepsize= 1.000000 
-dualbound = 3732135.522951, lowerbound=1307937.522951, norm of subgrad 1144.167174	dualbound = 3732135.522951, lowerbound=1307937.522951, norm of subgrad 35.678947	 stepsize= 1.000000 
-dualbound = 3732204.955546, lowerbound=1310837.955546, norm of subgrad 1145.436579	dualbound = 3732204.955546, lowerbound=1310837.955546, norm of subgrad 35.446193	 stepsize= 1.000000 
-dualbound = 3732231.855691, lowerbound=1300366.855691, norm of subgrad 1140.864083	dualbound = 3732231.855691, lowerbound=1300366.855691, norm of subgrad 35.084187	 stepsize= 1.000000 
-dualbound = 3732321.639441, lowerbound=1302831.639441, norm of subgrad 1141.940296	dualbound = 3732321.639441, lowerbound=1302831.639441, norm of subgrad 35.857827	 stepsize= 1.000000 
-dualbound = 3732371.731039, lowerbound=1303223.731039, norm of subgrad 1142.093574	dualbound = 3732371.731039, lowerbound=1303223.731039, norm of subgrad 34.700023	 stepsize= 1.000000 
-dualbound = 3732443.668619, lowerbound=1308315.668619, norm of subgrad 1144.339840	dualbound = 3732443.668619, lowerbound=1308315.668619, norm of subgrad 35.636184	 stepsize= 1.000000 
-dualbound = 3732496.161657, lowerbound=1307048.161657, norm of subgrad 1143.779333	dualbound = 3732496.161657, lowerbound=1307048.161657, norm of subgrad 35.149581	 stepsize= 1.000000 
-dualbound = 3732571.089650, lowerbound=1306453.089650, norm of subgrad 1143.544092	dualbound = 3732571.089650, lowerbound=1306453.089650, norm of subgrad 36.261936	 stepsize= 1.000000 
-dualbound = 3732604.864567, lowerbound=1304461.864567, norm of subgrad 1142.636366	dualbound = 3732604.864567, lowerbound=1304461.864567, norm of subgrad 34.493114	 stepsize= 1.000000 
-dualbound = 3732684.672994, lowerbound=1301165.672994, norm of subgrad 1141.208427	dualbound = 3732684.672994, lowerbound=1301165.672994, norm of subgrad 35.648400	 stepsize= 1.000000 
-dualbound = 3732727.539814, lowerbound=1306180.539814, norm of subgrad 1143.403490	dualbound = 3732727.539814, lowerbound=1306180.539814, norm of subgrad 35.126440	 stepsize= 1.000000 
-dualbound = 3732807.496370, lowerbound=1309494.496370, norm of subgrad 1144.841691	dualbound = 3732807.496370, lowerbound=1309494.496370, norm of subgrad 35.326429	 stepsize= 1.000000 
-dualbound = 3732869.721346, lowerbound=1302242.721346, norm of subgrad 1141.685912	dualbound = 3732869.721346, lowerbound=1302242.721346, norm of subgrad 35.584055	 stepsize= 1.000000 
-dualbound = 3732929.519635, lowerbound=1311144.519635, norm of subgrad 1145.563407	dualbound = 3732929.519635, lowerbound=1311144.519635, norm of subgrad 35.082735	 stepsize= 1.000000 
-dualbound = 3732984.352161, lowerbound=1305163.352161, norm of subgrad 1142.968658	dualbound = 3732984.352161, lowerbound=1305163.352161, norm of subgrad 35.620676	 stepsize= 1.000000 
-dualbound = 3733037.005602, lowerbound=1303642.005602, norm of subgrad 1142.339269	dualbound = 3733037.005602, lowerbound=1303642.005602, norm of subgrad 36.737630	 stepsize= 1.000000 
-dualbound = 3733094.222107, lowerbound=1303459.222107, norm of subgrad 1142.237813	dualbound = 3733094.222107, lowerbound=1303459.222107, norm of subgrad 36.127780	 stepsize= 1.000000 
-dualbound = 3733157.975465, lowerbound=1303472.975465, norm of subgrad 1142.260905	dualbound = 3733157.975465, lowerbound=1303472.975465, norm of subgrad 36.752597	 stepsize= 1.000000 
-dualbound = 3733201.677209, lowerbound=1304113.677209, norm of subgrad 1142.509377	dualbound = 3733201.677209, lowerbound=1304113.677209, norm of subgrad 35.464091	 stepsize= 1.000000 
-dualbound = 3733308.789535, lowerbound=1311293.789535, norm of subgrad 1145.635540	dualbound = 3733308.789535, lowerbound=1311293.789535, norm of subgrad 35.973773	 stepsize= 1.000000 
-dualbound = 3733340.972149, lowerbound=1302398.972149, norm of subgrad 1141.749523	dualbound = 3733340.972149, lowerbound=1302398.972149, norm of subgrad 35.002609	 stepsize= 1.000000 
-dualbound = 3733420.797337, lowerbound=1304982.797337, norm of subgrad 1142.872170	dualbound = 3733420.797337, lowerbound=1304982.797337, norm of subgrad 35.409394	 stepsize= 1.000000 
-dualbound = 3733472.716681, lowerbound=1301640.716681, norm of subgrad 1141.414787	dualbound = 3733472.716681, lowerbound=1301640.716681, norm of subgrad 35.198286	 stepsize= 1.000000 
-dualbound = 3733558.148344, lowerbound=1308346.148344, norm of subgrad 1144.344856	dualbound = 3733558.148344, lowerbound=1308346.148344, norm of subgrad 35.558848	 stepsize= 1.000000 
-dualbound = 3733571.552704, lowerbound=1299644.552704, norm of subgrad 1140.545726	dualbound = 3733571.552704, lowerbound=1299644.552704, norm of subgrad 34.833954	 stepsize= 1.000000 
-dualbound = 3733651.647780, lowerbound=1306149.647780, norm of subgrad 1143.400913	dualbound = 3733651.647780, lowerbound=1306149.647780, norm of subgrad 36.001320	 stepsize= 1.000000 
-dualbound = 3733688.940199, lowerbound=1302891.940199, norm of subgrad 1141.968888	dualbound = 3733688.940199, lowerbound=1302891.940199, norm of subgrad 35.189379	 stepsize= 1.000000 
-dualbound = 3733787.378045, lowerbound=1306062.378045, norm of subgrad 1143.340447	dualbound = 3733787.378045, lowerbound=1306062.378045, norm of subgrad 35.544871	 stepsize= 1.000000 
-dualbound = 3733849.517169, lowerbound=1303947.517169, norm of subgrad 1142.416088	dualbound = 3733849.517169, lowerbound=1303947.517169, norm of subgrad 35.059080	 stepsize= 1.000000 
-dualbound = 3733919.245329, lowerbound=1307177.245329, norm of subgrad 1143.812155	dualbound = 3733919.245329, lowerbound=1307177.245329, norm of subgrad 34.622654	 stepsize= 1.000000 
-dualbound = 3733968.118662, lowerbound=1304185.118662, norm of subgrad 1142.511759	dualbound = 3733968.118662, lowerbound=1304185.118662, norm of subgrad 34.595857	 stepsize= 1.000000 
-dualbound = 3734024.710152, lowerbound=1308484.710152, norm of subgrad 1144.436853	dualbound = 3734024.710152, lowerbound=1308484.710152, norm of subgrad 36.160635	 stepsize= 1.000000 
-dualbound = 3734054.805416, lowerbound=1304293.805416, norm of subgrad 1142.606146	dualbound = 3734054.805416, lowerbound=1304293.805416, norm of subgrad 35.848225	 stepsize= 1.000000 
-dualbound = 3734131.714867, lowerbound=1311615.714867, norm of subgrad 1145.793051	dualbound = 3734131.714867, lowerbound=1311615.714867, norm of subgrad 36.095837	 stepsize= 1.000000 
-dualbound = 3734198.121593, lowerbound=1303993.121593, norm of subgrad 1142.446551	dualbound = 3734198.121593, lowerbound=1303993.121593, norm of subgrad 35.459931	 stepsize= 1.000000 
-dualbound = 3734278.085018, lowerbound=1306714.085018, norm of subgrad 1143.627599	dualbound = 3734278.085018, lowerbound=1306714.085018, norm of subgrad 35.354822	 stepsize= 1.000000 
-dualbound = 3734302.340404, lowerbound=1303916.340404, norm of subgrad 1142.413822	dualbound = 3734302.340404, lowerbound=1303916.340404, norm of subgrad 34.889187	 stepsize= 1.000000 
-dualbound = 3734366.358922, lowerbound=1303975.358922, norm of subgrad 1142.446217	dualbound = 3734366.358922, lowerbound=1303975.358922, norm of subgrad 35.665369	 stepsize= 1.000000 
-dualbound = 3734426.766624, lowerbound=1307208.766624, norm of subgrad 1143.862652	dualbound = 3734426.766624, lowerbound=1307208.766624, norm of subgrad 35.684839	 stepsize= 1.000000 
-dualbound = 3734478.008218, lowerbound=1302239.008218, norm of subgrad 1141.705307	dualbound = 3734478.008218, lowerbound=1302239.008218, norm of subgrad 36.100438	 stepsize= 1.000000 
-dualbound = 3734552.549665, lowerbound=1312460.549665, norm of subgrad 1146.145519	dualbound = 3734552.549665, lowerbound=1312460.549665, norm of subgrad 35.546328	 stepsize= 1.000000 
-dualbound = 3734621.819521, lowerbound=1304784.819521, norm of subgrad 1142.778552	dualbound = 3734621.819521, lowerbound=1304784.819521, norm of subgrad 35.032412	 stepsize= 1.000000 
-dualbound = 3734690.427955, lowerbound=1303418.427955, norm of subgrad 1142.192378	dualbound = 3734690.427955, lowerbound=1303418.427955, norm of subgrad 35.406333	 stepsize= 1.000000 
-dualbound = 3734727.771704, lowerbound=1304840.771704, norm of subgrad 1142.821408	dualbound = 3734727.771704, lowerbound=1304840.771704, norm of subgrad 35.175897	 stepsize= 1.000000 
-dualbound = 3734783.489153, lowerbound=1304851.489153, norm of subgrad 1142.819535	dualbound = 3734783.489153, lowerbound=1304851.489153, norm of subgrad 35.223819	 stepsize= 1.000000 
-dualbound = 3734858.799162, lowerbound=1304749.799162, norm of subgrad 1142.774606	dualbound = 3734858.799162, lowerbound=1304749.799162, norm of subgrad 35.486758	 stepsize= 1.000000 
-dualbound = 3734926.614577, lowerbound=1300676.614577, norm of subgrad 1140.990629	dualbound = 3734926.614577, lowerbound=1300676.614577, norm of subgrad 35.366869	 stepsize= 1.000000 
-dualbound = 3734962.764240, lowerbound=1310649.764240, norm of subgrad 1145.360539	dualbound = 3734962.764240, lowerbound=1310649.764240, norm of subgrad 35.173138	 stepsize= 1.000000 
-dualbound = 3735054.550719, lowerbound=1302075.550719, norm of subgrad 1141.581163	dualbound = 3735054.550719, lowerbound=1302075.550719, norm of subgrad 34.982660	 stepsize= 1.000000 
-dualbound = 3735112.574930, lowerbound=1306229.574930, norm of subgrad 1143.403942	dualbound = 3735112.574930, lowerbound=1306229.574930, norm of subgrad 34.655796	 stepsize= 1.000000 
-dualbound = 3735181.804660, lowerbound=1302039.804660, norm of subgrad 1141.596603	dualbound = 3735181.804660, lowerbound=1302039.804660, norm of subgrad 35.668330	 stepsize= 1.000000 
-dualbound = 3735183.715484, lowerbound=1310381.715484, norm of subgrad 1145.305512	dualbound = 3735183.715484, lowerbound=1310381.715484, norm of subgrad 36.673026	 stepsize= 1.000000 
-dualbound = 3735248.271101, lowerbound=1300162.271101, norm of subgrad 1140.789319	dualbound = 3735248.271101, lowerbound=1300162.271101, norm of subgrad 36.090935	 stepsize= 1.000000 
-dualbound = 3735317.744455, lowerbound=1306242.744455, norm of subgrad 1143.423257	dualbound = 3735317.744455, lowerbound=1306242.744455, norm of subgrad 35.262918	 stepsize= 1.000000 
-dualbound = 3735403.159614, lowerbound=1306197.159614, norm of subgrad 1143.416879	dualbound = 3735403.159614, lowerbound=1306197.159614, norm of subgrad 35.922349	 stepsize= 1.000000 
-dualbound = 3735444.386561, lowerbound=1308131.386561, norm of subgrad 1144.265872	dualbound = 3735444.386561, lowerbound=1308131.386561, norm of subgrad 35.415067	 stepsize= 1.000000 
-dualbound = 3735500.110711, lowerbound=1302033.110711, norm of subgrad 1141.619512	dualbound = 3735500.110711, lowerbound=1302033.110711, norm of subgrad 36.300470	 stepsize= 1.000000 
-dualbound = 3735552.261365, lowerbound=1308897.261365, norm of subgrad 1144.577766	dualbound = 3735552.261365, lowerbound=1308897.261365, norm of subgrad 34.830312	 stepsize= 1.000000 
-dualbound = 3735664.968806, lowerbound=1299480.968806, norm of subgrad 1140.454282	dualbound = 3735664.968806, lowerbound=1299480.968806, norm of subgrad 35.604879	 stepsize= 1.000000 
-dualbound = 3735680.325885, lowerbound=1308838.325885, norm of subgrad 1144.570367	dualbound = 3735680.325885, lowerbound=1308838.325885, norm of subgrad 34.904972	 stepsize= 1.000000 
-dualbound = 3735775.467244, lowerbound=1307399.467244, norm of subgrad 1143.922841	dualbound = 3735775.467244, lowerbound=1307399.467244, norm of subgrad 35.427974	 stepsize= 1.000000 
-dualbound = 3735827.079165, lowerbound=1301117.079165, norm of subgrad 1141.177935	dualbound = 3735827.079165, lowerbound=1301117.079165, norm of subgrad 34.951565	 stepsize= 1.000000 
-dualbound = 3735887.818608, lowerbound=1305350.818608, norm of subgrad 1143.037540	dualbound = 3735887.818608, lowerbound=1305350.818608, norm of subgrad 35.280865	 stepsize= 1.000000 
-dualbound = 3735939.859666, lowerbound=1308340.859666, norm of subgrad 1144.340797	dualbound = 3735939.859666, lowerbound=1308340.859666, norm of subgrad 35.029146	 stepsize= 1.000000 
-dualbound = 3736012.921622, lowerbound=1305225.921622, norm of subgrad 1142.986405	dualbound = 3736012.921622, lowerbound=1305225.921622, norm of subgrad 35.567709	 stepsize= 1.000000 
-dualbound = 3736056.542931, lowerbound=1304936.542931, norm of subgrad 1142.845809	dualbound = 3736056.542931, lowerbound=1304936.542931, norm of subgrad 34.693246	 stepsize= 1.000000 
-dualbound = 3736149.552436, lowerbound=1307241.552436, norm of subgrad 1143.852505	dualbound = 3736149.552436, lowerbound=1307241.552436, norm of subgrad 35.355473	 stepsize= 1.000000 
-dualbound = 3736173.475939, lowerbound=1302272.475939, norm of subgrad 1141.689746	dualbound = 3736173.475939, lowerbound=1302272.475939, norm of subgrad 34.740805	 stepsize= 1.000000 
-dualbound = 3736254.326206, lowerbound=1308222.326206, norm of subgrad 1144.263661	dualbound = 3736254.326206, lowerbound=1308222.326206, norm of subgrad 34.609974	 stepsize= 1.000000 
-dualbound = 3736330.657261, lowerbound=1301764.657261, norm of subgrad 1141.448491	dualbound = 3736330.657261, lowerbound=1301764.657261, norm of subgrad 34.875938	 stepsize= 1.000000 
-dualbound = 3736365.476666, lowerbound=1303175.476666, norm of subgrad 1142.076826	dualbound = 3736365.476666, lowerbound=1303175.476666, norm of subgrad 34.623972	 stepsize= 1.000000 
-dualbound = 3736408.747634, lowerbound=1301919.747634, norm of subgrad 1141.561539	dualbound = 3736408.747634, lowerbound=1301919.747634, norm of subgrad 35.864620	 stepsize= 1.000000 
-dualbound = 3736475.394659, lowerbound=1301828.394659, norm of subgrad 1141.510138	dualbound = 3736475.394659, lowerbound=1301828.394659, norm of subgrad 35.828020	 stepsize= 1.000000 
-dualbound = 3736537.413897, lowerbound=1304994.413897, norm of subgrad 1142.904377	dualbound = 3736537.413897, lowerbound=1304994.413897, norm of subgrad 36.028034	 stepsize= 1.000000 
-dualbound = 3736595.284267, lowerbound=1308406.284267, norm of subgrad 1144.372878	dualbound = 3736595.284267, lowerbound=1308406.284267, norm of subgrad 35.225990	 stepsize= 1.000000 
-dualbound = 3736666.515543, lowerbound=1303372.515543, norm of subgrad 1142.170528	dualbound = 3736666.515543, lowerbound=1303372.515543, norm of subgrad 35.386880	 stepsize= 1.000000 
-dualbound = 3736720.803776, lowerbound=1308802.803776, norm of subgrad 1144.565771	dualbound = 3736720.803776, lowerbound=1308802.803776, norm of subgrad 35.809052	 stepsize= 1.000000 
-dualbound = 3736763.090687, lowerbound=1305722.090687, norm of subgrad 1143.200372	dualbound = 3736763.090687, lowerbound=1305722.090687, norm of subgrad 35.032655	 stepsize= 1.000000 
-dualbound = 3736855.395890, lowerbound=1304172.395890, norm of subgrad 1142.537262	dualbound = 3736855.395890, lowerbound=1304172.395890, norm of subgrad 36.211948	 stepsize= 1.000000 
-dualbound = 3736888.150363, lowerbound=1302837.150363, norm of subgrad 1141.962850	dualbound = 3736888.150363, lowerbound=1302837.150363, norm of subgrad 35.703704	 stepsize= 1.000000 
-dualbound = 3736937.003643, lowerbound=1308812.003643, norm of subgrad 1144.577216	dualbound = 3736937.003643, lowerbound=1308812.003643, norm of subgrad 35.970172	 stepsize= 1.000000 
-dualbound = 3737029.932264, lowerbound=1300317.932264, norm of subgrad 1140.837820	dualbound = 3737029.932264, lowerbound=1300317.932264, norm of subgrad 35.859847	 stepsize= 1.000000 
-dualbound = 3737089.860448, lowerbound=1311932.860448, norm of subgrad 1145.899586	dualbound = 3737089.860448, lowerbound=1311932.860448, norm of subgrad 34.827119	 stepsize= 1.000000 
-dualbound = 3737149.307882, lowerbound=1303122.307882, norm of subgrad 1142.065807	dualbound = 3737149.307882, lowerbound=1303122.307882, norm of subgrad 35.375803	 stepsize= 1.000000 
-dualbound = 3737204.851211, lowerbound=1306891.851211, norm of subgrad 1143.695262	dualbound = 3737204.851211, lowerbound=1306891.851211, norm of subgrad 34.677707	 stepsize= 1.000000 
-dualbound = 3737262.633166, lowerbound=1303324.633166, norm of subgrad 1142.135120	dualbound = 3737262.633166, lowerbound=1303324.633166, norm of subgrad 34.724371	 stepsize= 1.000000 
-dualbound = 3737331.174241, lowerbound=1305283.174241, norm of subgrad 1142.990890	dualbound = 3737331.174241, lowerbound=1305283.174241, norm of subgrad 34.835916	 stepsize= 1.000000 
-dualbound = 3737381.997095, lowerbound=1307667.997095, norm of subgrad 1144.046326	dualbound = 3737381.997095, lowerbound=1307667.997095, norm of subgrad 34.997469	 stepsize= 1.000000 
-dualbound = 3737441.153251, lowerbound=1303457.153251, norm of subgrad 1142.213270	dualbound = 3737441.153251, lowerbound=1303457.153251, norm of subgrad 35.399946	 stepsize= 1.000000 
-dualbound = 3737472.887300, lowerbound=1305024.887300, norm of subgrad 1142.917271	dualbound = 3737472.887300, lowerbound=1305024.887300, norm of subgrad 35.591207	 stepsize= 1.000000 
-dualbound = 3737570.659484, lowerbound=1305258.659484, norm of subgrad 1142.993289	dualbound = 3737570.659484, lowerbound=1305258.659484, norm of subgrad 35.675933	 stepsize= 1.000000 
-dualbound = 3737601.714861, lowerbound=1302762.714861, norm of subgrad 1141.917998	dualbound = 3737601.714861, lowerbound=1302762.714861, norm of subgrad 35.285342	 stepsize= 1.000000 
-dualbound = 3737677.013426, lowerbound=1299663.013426, norm of subgrad 1140.557764	dualbound = 3737677.013426, lowerbound=1299663.013426, norm of subgrad 35.837112	 stepsize= 1.000000 
-dualbound = 3737744.745614, lowerbound=1308111.745614, norm of subgrad 1144.240248	dualbound = 3737744.745614, lowerbound=1308111.745614, norm of subgrad 35.238221	 stepsize= 1.000000 
-dualbound = 3737836.421664, lowerbound=1305949.421664, norm of subgrad 1143.285363	dualbound = 3737836.421664, lowerbound=1305949.421664, norm of subgrad 35.265791	 stepsize= 1.000000 
-dualbound = 3737868.398143, lowerbound=1301634.398143, norm of subgrad 1141.422095	dualbound = 3737868.398143, lowerbound=1301634.398143, norm of subgrad 35.241687	 stepsize= 1.000000 
-dualbound = 3737910.714132, lowerbound=1312967.714132, norm of subgrad 1146.385936	dualbound = 3737910.714132, lowerbound=1312967.714132, norm of subgrad 35.711567	 stepsize= 1.000000 
-dualbound = 3737968.269131, lowerbound=1300873.269131, norm of subgrad 1141.145157	dualbound = 3737968.269131, lowerbound=1300873.269131, norm of subgrad 37.370510	 stepsize= 1.000000 
-dualbound = 3738020.333746, lowerbound=1307000.333746, norm of subgrad 1143.770228	dualbound = 3738020.333746, lowerbound=1307000.333746, norm of subgrad 35.525549	 stepsize= 1.000000 
-dualbound = 3738099.822012, lowerbound=1308183.822012, norm of subgrad 1144.283541	dualbound = 3738099.822012, lowerbound=1308183.822012, norm of subgrad 35.783911	 stepsize= 1.000000 
-dualbound = 3738156.351699, lowerbound=1294297.351699, norm of subgrad 1138.233435	dualbound = 3738156.351699, lowerbound=1294297.351699, norm of subgrad 36.531215	 stepsize= 1.000000 
-dualbound = 3738217.893756, lowerbound=1302881.893756, norm of subgrad 1141.974559	dualbound = 3738217.893756, lowerbound=1302881.893756, norm of subgrad 35.854457	 stepsize= 1.000000 
-dualbound = 3738285.704491, lowerbound=1305962.704491, norm of subgrad 1143.315225	dualbound = 3738285.704491, lowerbound=1305962.704491, norm of subgrad 35.704492	 stepsize= 1.000000 
-dualbound = 3738356.840632, lowerbound=1310303.840632, norm of subgrad 1145.230475	dualbound = 3738356.840632, lowerbound=1310303.840632, norm of subgrad 36.333678	 stepsize= 1.000000 
-dualbound = 3738395.433033, lowerbound=1300257.433033, norm of subgrad 1140.833657	dualbound = 3738395.433033, lowerbound=1300257.433033, norm of subgrad 35.813299	 stepsize= 1.000000 
-dualbound = 3738472.369814, lowerbound=1311379.369814, norm of subgrad 1145.686855	dualbound = 3738472.369814, lowerbound=1311379.369814, norm of subgrad 35.999122	 stepsize= 1.000000 
-dualbound = 3738541.577751, lowerbound=1299318.577751, norm of subgrad 1140.418159	dualbound = 3738541.577751, lowerbound=1299318.577751, norm of subgrad 36.113819	 stepsize= 1.000000 
-dualbound = 3738594.724873, lowerbound=1307136.724873, norm of subgrad 1143.822856	dualbound = 3738594.724873, lowerbound=1307136.724873, norm of subgrad 35.314970	 stepsize= 1.000000 
-dualbound = 3738651.979518, lowerbound=1300776.979518, norm of subgrad 1141.060463	dualbound = 3738651.979518, lowerbound=1300776.979518, norm of subgrad 36.045175	 stepsize= 1.000000 
-dualbound = 3738717.239219, lowerbound=1306328.239219, norm of subgrad 1143.454957	dualbound = 3738717.239219, lowerbound=1306328.239219, norm of subgrad 35.017991	 stepsize= 1.000000 
-dualbound = 3738786.518008, lowerbound=1306837.518008, norm of subgrad 1143.687247	dualbound = 3738786.518008, lowerbound=1306837.518008, norm of subgrad 35.387551	 stepsize= 1.000000 
-dualbound = 3738846.843539, lowerbound=1303487.843539, norm of subgrad 1142.217511	dualbound = 3738846.843539, lowerbound=1303487.843539, norm of subgrad 35.118735	 stepsize= 1.000000 
-dualbound = 3738892.225986, lowerbound=1307060.225986, norm of subgrad 1143.792475	dualbound = 3738892.225986, lowerbound=1307060.225986, norm of subgrad 35.304142	 stepsize= 1.000000 
-dualbound = 3738973.384920, lowerbound=1307411.384920, norm of subgrad 1143.892646	dualbound = 3738973.384920, lowerbound=1307411.384920, norm of subgrad 34.061106	 stepsize= 1.000000 
-dualbound = 3739063.830546, lowerbound=1304910.830546, norm of subgrad 1142.836310	dualbound = 3739063.830546, lowerbound=1304910.830546, norm of subgrad 35.418154	 stepsize= 1.000000 
-dualbound = 3739071.159232, lowerbound=1308014.159232, norm of subgrad 1144.228194	dualbound = 3739071.159232, lowerbound=1308014.159232, norm of subgrad 35.374125	 stepsize= 1.000000 
-dualbound = 3739134.262778, lowerbound=1306168.262778, norm of subgrad 1143.383690	dualbound = 3739134.262778, lowerbound=1306168.262778, norm of subgrad 34.944292	 stepsize= 1.000000 
-dualbound = 3739206.725836, lowerbound=1310072.725836, norm of subgrad 1145.111229	dualbound = 3739206.725836, lowerbound=1310072.725836, norm of subgrad 35.769583	 stepsize= 1.000000 
-dualbound = 3739259.698196, lowerbound=1303425.698196, norm of subgrad 1142.180677	dualbound = 3739259.698196, lowerbound=1303425.698196, norm of subgrad 34.698305	 stepsize= 1.000000 
-dualbound = 3739326.388956, lowerbound=1303282.388956, norm of subgrad 1142.135889	dualbound = 3739326.388956, lowerbound=1303282.388956, norm of subgrad 35.478032	 stepsize= 1.000000 
-dualbound = 3739373.191152, lowerbound=1301845.191152, norm of subgrad 1141.489900	dualbound = 3739373.191152, lowerbound=1301845.191152, norm of subgrad 34.652593	 stepsize= 1.000000 
-dualbound = 3739442.523438, lowerbound=1306155.523438, norm of subgrad 1143.387740	dualbound = 3739442.523438, lowerbound=1306155.523438, norm of subgrad 35.345895	 stepsize= 1.000000 
-dualbound = 3739500.013704, lowerbound=1302414.013704, norm of subgrad 1141.753044	dualbound = 3739500.013704, lowerbound=1302414.013704, norm of subgrad 35.263157	 stepsize= 1.000000 
-dualbound = 3739548.952853, lowerbound=1311568.952853, norm of subgrad 1145.796646	dualbound = 3739548.952853, lowerbound=1311568.952853, norm of subgrad 36.468331	 stepsize= 1.000000 
-dualbound = 3739594.299540, lowerbound=1300858.299540, norm of subgrad 1141.065423	dualbound = 3739594.299540, lowerbound=1300858.299540, norm of subgrad 34.890496	 stepsize= 1.000000 
-dualbound = 3739682.152523, lowerbound=1311939.152523, norm of subgrad 1145.911058	dualbound = 3739682.152523, lowerbound=1311939.152523, norm of subgrad 35.508492	 stepsize= 1.000000 
-dualbound = 3739755.126983, lowerbound=1299363.126983, norm of subgrad 1140.418838	dualbound = 3739755.126983, lowerbound=1299363.126983, norm of subgrad 35.566479	 stepsize= 1.000000 
-dualbound = 3739786.254516, lowerbound=1309568.254516, norm of subgrad 1144.921069	dualbound = 3739786.254516, lowerbound=1309568.254516, norm of subgrad 36.154219	 stepsize= 1.000000 
-dualbound = 3739837.150015, lowerbound=1305205.150015, norm of subgrad 1142.989129	dualbound = 3739837.150015, lowerbound=1305205.150015, norm of subgrad 35.635593	 stepsize= 1.000000 
-dualbound = 3739913.802937, lowerbound=1306045.802937, norm of subgrad 1143.322266	dualbound = 3739913.802937, lowerbound=1306045.802937, norm of subgrad 34.880552	 stepsize= 1.000000 
-dualbound = 3739999.323565, lowerbound=1305744.323565, norm of subgrad 1143.196975	dualbound = 3739999.323565, lowerbound=1305744.323565, norm of subgrad 35.221025	 stepsize= 1.000000 
-dualbound = 3740028.048516, lowerbound=1307757.048516, norm of subgrad 1144.097919	dualbound = 3740028.048516, lowerbound=1307757.048516, norm of subgrad 35.095939	 stepsize= 1.000000 
-dualbound = 3740083.435337, lowerbound=1302034.435337, norm of subgrad 1141.562278	dualbound = 3740083.435337, lowerbound=1302034.435337, norm of subgrad 34.429447	 stepsize= 1.000000 
-dualbound = 3740168.686987, lowerbound=1306809.686987, norm of subgrad 1143.661964	dualbound = 3740168.686987, lowerbound=1306809.686987, norm of subgrad 35.188800	 stepsize= 1.000000 
-dualbound = 3740224.852482, lowerbound=1307929.852482, norm of subgrad 1144.169066	dualbound = 3740224.852482, lowerbound=1307929.852482, norm of subgrad 35.343535	 stepsize= 1.000000 
-dualbound = 3740277.434799, lowerbound=1303893.434799, norm of subgrad 1142.419991	dualbound = 3740277.434799, lowerbound=1303893.434799, norm of subgrad 35.813158	 stepsize= 1.000000 
-dualbound = 3740321.393639, lowerbound=1304556.393639, norm of subgrad 1142.711859	dualbound = 3740321.393639, lowerbound=1304556.393639, norm of subgrad 35.748550	 stepsize= 1.000000 
-dualbound = 3740408.276971, lowerbound=1309199.276971, norm of subgrad 1144.686104	dualbound = 3740408.276971, lowerbound=1309199.276971, norm of subgrad 34.552617	 stepsize= 1.000000 
-dualbound = 3740459.589682, lowerbound=1307523.589682, norm of subgrad 1143.987583	dualbound = 3740459.589682, lowerbound=1307523.589682, norm of subgrad 35.147016	 stepsize= 1.000000 
-dualbound = 3740503.593991, lowerbound=1305018.593991, norm of subgrad 1142.900518	dualbound = 3740503.593991, lowerbound=1305018.593991, norm of subgrad 35.312948	 stepsize= 1.000000 
-dualbound = 3740586.214866, lowerbound=1304570.214866, norm of subgrad 1142.710031	dualbound = 3740586.214866, lowerbound=1304570.214866, norm of subgrad 36.036383	 stepsize= 1.000000 
-dualbound = 3740612.237357, lowerbound=1305514.237357, norm of subgrad 1143.169383	dualbound = 3740612.237357, lowerbound=1305514.237357, norm of subgrad 36.715426	 stepsize= 1.000000 
-dualbound = 3740678.985071, lowerbound=1308830.985071, norm of subgrad 1144.582450	dualbound = 3740678.985071, lowerbound=1308830.985071, norm of subgrad 36.121292	 stepsize= 1.000000 
-dualbound = 3740751.962777, lowerbound=1305728.962777, norm of subgrad 1143.203815	dualbound = 3740751.962777, lowerbound=1305728.962777, norm of subgrad 35.482076	 stepsize= 1.000000 
-dualbound = 3740842.605630, lowerbound=1298592.605630, norm of subgrad 1140.073509	dualbound = 3740842.605630, lowerbound=1298592.605630, norm of subgrad 35.575875	 stepsize= 1.000000 
-dualbound = 3740903.571102, lowerbound=1303558.571102, norm of subgrad 1142.259853	dualbound = 3740903.571102, lowerbound=1303558.571102, norm of subgrad 35.495992	 stepsize= 1.000000 
-dualbound = 3740941.495172, lowerbound=1309187.495172, norm of subgrad 1144.713718	dualbound = 3740941.495172, lowerbound=1309187.495172, norm of subgrad 34.927411	 stepsize= 1.000000 
-dualbound = 3741010.936546, lowerbound=1308345.936546, norm of subgrad 1144.334714	dualbound = 3741010.936546, lowerbound=1308345.936546, norm of subgrad 35.006305	 stepsize= 1.000000 
-dualbound = 3741095.157953, lowerbound=1303710.157953, norm of subgrad 1142.282434	dualbound = 3741095.157953, lowerbound=1303710.157953, norm of subgrad 34.397986	 stepsize= 1.000000 
-dualbound = 3741147.656694, lowerbound=1309006.656694, norm of subgrad 1144.621622	dualbound = 3741147.656694, lowerbound=1309006.656694, norm of subgrad 34.705889	 stepsize= 1.000000 
-dualbound = 3741201.862693, lowerbound=1302120.862693, norm of subgrad 1141.611082	dualbound = 3741201.862693, lowerbound=1302120.862693, norm of subgrad 34.773639	 stepsize= 1.000000 
-dualbound = 3741251.792654, lowerbound=1307589.792654, norm of subgrad 1144.016518	dualbound = 3741251.792654, lowerbound=1307589.792654, norm of subgrad 35.127339	 stepsize= 1.000000 
-dualbound = 3741332.620094, lowerbound=1304044.620094, norm of subgrad 1142.447644	dualbound = 3741332.620094, lowerbound=1304044.620094, norm of subgrad 34.968950	 stepsize= 1.000000 
-dualbound = 3741381.085045, lowerbound=1305737.085045, norm of subgrad 1143.199495	dualbound = 3741381.085045, lowerbound=1305737.085045, norm of subgrad 34.877858	 stepsize= 1.000000 
-dualbound = 3741443.529558, lowerbound=1307388.529558, norm of subgrad 1143.927677	dualbound = 3741443.529558, lowerbound=1307388.529558, norm of subgrad 35.276685	 stepsize= 1.000000 
-dualbound = 3741513.479618, lowerbound=1305353.479618, norm of subgrad 1143.040454	dualbound = 3741513.479618, lowerbound=1305353.479618, norm of subgrad 35.467592	 stepsize= 1.000000 
-dualbound = 3741547.480980, lowerbound=1307176.480980, norm of subgrad 1143.852473	dualbound = 3741547.480980, lowerbound=1307176.480980, norm of subgrad 35.440110	 stepsize= 1.000000 
-dualbound = 3741617.020155, lowerbound=1306571.020155, norm of subgrad 1143.583849	dualbound = 3741617.020155, lowerbound=1306571.020155, norm of subgrad 35.812556	 stepsize= 1.000000 
-dualbound = 3741660.593655, lowerbound=1299610.593655, norm of subgrad 1140.519440	dualbound = 3741660.593655, lowerbound=1299610.593655, norm of subgrad 34.893746	 stepsize= 1.000000 
-dualbound = 3741746.215121, lowerbound=1301924.215121, norm of subgrad 1141.542034	dualbound = 3741746.215121, lowerbound=1301924.215121, norm of subgrad 35.771797	 stepsize= 1.000000 
-dualbound = 3741787.997886, lowerbound=1304308.997886, norm of subgrad 1142.587414	dualbound = 3741787.997886, lowerbound=1304308.997886, norm of subgrad 35.196346	 stepsize= 1.000000 
-dualbound = 3741832.668962, lowerbound=1309523.668962, norm of subgrad 1144.874958	dualbound = 3741832.668962, lowerbound=1309523.668962, norm of subgrad 35.491845	 stepsize= 1.000000 
-dualbound = 3741921.478520, lowerbound=1307873.478520, norm of subgrad 1144.152734	dualbound = 3741921.478520, lowerbound=1307873.478520, norm of subgrad 36.066738	 stepsize= 1.000000 
-dualbound = 3741959.329207, lowerbound=1304916.329207, norm of subgrad 1142.847028	dualbound = 3741959.329207, lowerbound=1304916.329207, norm of subgrad 34.940674	 stepsize= 1.000000 
-dualbound = 3742028.724467, lowerbound=1306603.724467, norm of subgrad 1143.561421	dualbound = 3742028.724467, lowerbound=1306603.724467, norm of subgrad 34.617846	 stepsize= 1.000000 
-dualbound = 3742115.483759, lowerbound=1306094.483759, norm of subgrad 1143.362796	dualbound = 3742115.483759, lowerbound=1306094.483759, norm of subgrad 35.647711	 stepsize= 1.000000 
-dualbound = 3742148.072156, lowerbound=1306577.072156, norm of subgrad 1143.559387	dualbound = 3742148.072156, lowerbound=1306577.072156, norm of subgrad 34.403320	 stepsize= 1.000000 
-dualbound = 3742195.986924, lowerbound=1305040.986924, norm of subgrad 1142.931313	dualbound = 3742195.986924, lowerbound=1305040.986924, norm of subgrad 36.040460	 stepsize= 1.000000 
-dualbound = 3742242.106479, lowerbound=1306716.106479, norm of subgrad 1143.629794	dualbound = 3742242.106479, lowerbound=1306716.106479, norm of subgrad 34.915893	 stepsize= 1.000000 
-dualbound = 3742325.144725, lowerbound=1307767.144725, norm of subgrad 1144.076984	dualbound = 3742325.144725, lowerbound=1307767.144725, norm of subgrad 35.043377	 stepsize= 1.000000 
-dualbound = 3742375.046730, lowerbound=1308263.046730, norm of subgrad 1144.319469	dualbound = 3742375.046730, lowerbound=1308263.046730, norm of subgrad 35.410479	 stepsize= 1.000000 
-dualbound = 3742445.948417, lowerbound=1303474.948417, norm of subgrad 1142.229814	dualbound = 3742445.948417, lowerbound=1303474.948417, norm of subgrad 35.845525	 stepsize= 1.000000 
-dualbound = 3742495.340821, lowerbound=1306377.340821, norm of subgrad 1143.497416	dualbound = 3742495.340821, lowerbound=1306377.340821, norm of subgrad 35.473827	 stepsize= 1.000000 
-dualbound = 3742577.154316, lowerbound=1303488.154316, norm of subgrad 1142.212395	dualbound = 3742577.154316, lowerbound=1303488.154316, norm of subgrad 35.253560	 stepsize= 1.000000 
-dualbound = 3742605.432042, lowerbound=1306598.432042, norm of subgrad 1143.599769	dualbound = 3742605.432042, lowerbound=1306598.432042, norm of subgrad 35.359266	 stepsize= 1.000000 
-dualbound = 3742695.628024, lowerbound=1304226.628024, norm of subgrad 1142.547429	dualbound = 3742695.628024, lowerbound=1304226.628024, norm of subgrad 35.751867	 stepsize= 1.000000 
-dualbound = 3742745.423314, lowerbound=1301769.423314, norm of subgrad 1141.492630	dualbound = 3742745.423314, lowerbound=1301769.423314, norm of subgrad 35.857988	 stepsize= 1.000000 
-dualbound = 3742810.391593, lowerbound=1305887.391593, norm of subgrad 1143.276166	dualbound = 3742810.391593, lowerbound=1305887.391593, norm of subgrad 35.467849	 stepsize= 1.000000 
-dualbound = 3742878.966683, lowerbound=1304668.966683, norm of subgrad 1142.723049	dualbound = 3742878.966683, lowerbound=1304668.966683, norm of subgrad 34.865098	 stepsize= 1.000000 
-dualbound = 3742936.673587, lowerbound=1304186.673587, norm of subgrad 1142.529069	dualbound = 3742936.673587, lowerbound=1304186.673587, norm of subgrad 35.266229	 stepsize= 1.000000 
-dualbound = 3742989.909847, lowerbound=1309884.909847, norm of subgrad 1144.998651	dualbound = 3742989.909847, lowerbound=1309884.909847, norm of subgrad 34.499801	 stepsize= 1.000000 
-dualbound = 3743066.368245, lowerbound=1306378.368245, norm of subgrad 1143.476002	dualbound = 3743066.368245, lowerbound=1306378.368245, norm of subgrad 35.149088	 stepsize= 1.000000 
-dualbound = 3743111.779990, lowerbound=1307152.779990, norm of subgrad 1143.850419	dualbound = 3743111.779990, lowerbound=1307152.779990, norm of subgrad 35.866583	 stepsize= 1.000000 
-dualbound = 3743160.661682, lowerbound=1308342.661682, norm of subgrad 1144.388335	dualbound = 3743160.661682, lowerbound=1308342.661682, norm of subgrad 36.481251	 stepsize= 1.000000 
-dualbound = 3743204.789922, lowerbound=1305607.789922, norm of subgrad 1143.188869	dualbound = 3743204.789922, lowerbound=1305607.789922, norm of subgrad 36.292261	 stepsize= 1.000000 
-dualbound = 3743273.779466, lowerbound=1302614.779466, norm of subgrad 1141.862417	dualbound = 3743273.779466, lowerbound=1302614.779466, norm of subgrad 36.110795	 stepsize= 1.000000 
-dualbound = 3743332.577294, lowerbound=1306938.577294, norm of subgrad 1143.740608	dualbound = 3743332.577294, lowerbound=1306938.577294, norm of subgrad 35.535867	 stepsize= 1.000000 
-dualbound = 3743404.406736, lowerbound=1307833.406736, norm of subgrad 1144.119053	dualbound = 3743404.406736, lowerbound=1307833.406736, norm of subgrad 35.310472	 stepsize= 1.000000 
-dualbound = 3743474.509553, lowerbound=1298010.509553, norm of subgrad 1139.812927	dualbound = 3743474.509553, lowerbound=1298010.509553, norm of subgrad 35.115564	 stepsize= 1.000000 
-dualbound = 3743512.030024, lowerbound=1315607.030024, norm of subgrad 1147.501647	dualbound = 3743512.030024, lowerbound=1315607.030024, norm of subgrad 34.503920	 stepsize= 1.000000 
-dualbound = 3743600.861371, lowerbound=1305490.861371, norm of subgrad 1143.094424	dualbound = 3743600.861371, lowerbound=1305490.861371, norm of subgrad 35.536338	 stepsize= 1.000000 
-dualbound = 3743626.036424, lowerbound=1309328.036424, norm of subgrad 1144.803492	dualbound = 3743626.036424, lowerbound=1309328.036424, norm of subgrad 35.667563	 stepsize= 1.000000 
-dualbound = 3743697.435470, lowerbound=1304647.435470, norm of subgrad 1142.744694	dualbound = 3743697.435470, lowerbound=1304647.435470, norm of subgrad 35.908203	 stepsize= 1.000000 
-dualbound = 3743758.600346, lowerbound=1306813.600346, norm of subgrad 1143.656679	dualbound = 3743758.600346, lowerbound=1306813.600346, norm of subgrad 34.614518	 stepsize= 1.000000 
-dualbound = 3743830.644246, lowerbound=1308764.644246, norm of subgrad 1144.556090	dualbound = 3743830.644246, lowerbound=1308764.644246, norm of subgrad 36.277319	 stepsize= 1.000000 
-dualbound = 3743863.649534, lowerbound=1304121.649534, norm of subgrad 1142.521181	dualbound = 3743863.649534, lowerbound=1304121.649534, norm of subgrad 35.580968	 stepsize= 1.000000 
-dualbound = 3743930.274304, lowerbound=1305020.274304, norm of subgrad 1142.916565	dualbound = 3743930.274304, lowerbound=1305020.274304, norm of subgrad 36.119590	 stepsize= 1.000000 
-dualbound = 3744000.331274, lowerbound=1306438.331274, norm of subgrad 1143.528457	dualbound = 3744000.331274, lowerbound=1306438.331274, norm of subgrad 35.903440	 stepsize= 1.000000 
-dualbound = 3744066.429826, lowerbound=1308430.429826, norm of subgrad 1144.362019	dualbound = 3744066.429826, lowerbound=1308430.429826, norm of subgrad 34.642439	 stepsize= 1.000000 
-dualbound = 3744143.954193, lowerbound=1307505.954193, norm of subgrad 1143.993424	dualbound = 3744143.954193, lowerbound=1307505.954193, norm of subgrad 35.951695	 stepsize= 1.000000 
-dualbound = 3744174.368211, lowerbound=1296785.368211, norm of subgrad 1139.303896	dualbound = 3744174.368211, lowerbound=1296785.368211, norm of subgrad 35.474132	 stepsize= 1.000000 
-dualbound = 3744243.164714, lowerbound=1305932.164714, norm of subgrad 1143.304493	dualbound = 3744243.164714, lowerbound=1305932.164714, norm of subgrad 35.802186	 stepsize= 1.000000 
-dualbound = 3744323.036484, lowerbound=1298682.036484, norm of subgrad 1140.110976	dualbound = 3744323.036484, lowerbound=1298682.036484, norm of subgrad 35.367666	 stepsize= 1.000000 
-dualbound = 3744375.394030, lowerbound=1308959.394030, norm of subgrad 1144.622381	dualbound = 3744375.394030, lowerbound=1308959.394030, norm of subgrad 35.402790	 stepsize= 1.000000 
-dualbound = 3744424.109866, lowerbound=1302238.109866, norm of subgrad 1141.691775	dualbound = 3744424.109866, lowerbound=1302238.109866, norm of subgrad 35.647101	 stepsize= 1.000000 
-dualbound = 3744490.033868, lowerbound=1307623.033868, norm of subgrad 1144.045468	dualbound = 3744490.033868, lowerbound=1307623.033868, norm of subgrad 35.817928	 stepsize= 1.000000 
-dualbound = 3744556.019452, lowerbound=1298461.019452, norm of subgrad 1140.018868	dualbound = 3744556.019452, lowerbound=1298461.019452, norm of subgrad 35.326839	 stepsize= 1.000000 
-dualbound = 3744620.613962, lowerbound=1307380.613962, norm of subgrad 1143.959621	dualbound = 3744620.613962, lowerbound=1307380.613962, norm of subgrad 36.436170	 stepsize= 1.000000 
-dualbound = 3744643.302566, lowerbound=1304578.302566, norm of subgrad 1142.716195	dualbound = 3744643.302566, lowerbound=1304578.302566, norm of subgrad 35.280145	 stepsize= 1.000000 
-dualbound = 3744744.961734, lowerbound=1310308.961734, norm of subgrad 1145.244062	dualbound = 3744744.961734, lowerbound=1310308.961734, norm of subgrad 37.103358	 stepsize= 1.000000 
-dualbound = 3744764.094100, lowerbound=1311163.094100, norm of subgrad 1145.600757	dualbound = 3744764.094100, lowerbound=1311163.094100, norm of subgrad 35.456062	 stepsize= 1.000000 
-dualbound = 3744873.467021, lowerbound=1303406.467021, norm of subgrad 1142.170069	dualbound = 3744873.467021, lowerbound=1303406.467021, norm of subgrad 35.431242	 stepsize= 1.000000 
-dualbound = 3744905.099245, lowerbound=1305592.099245, norm of subgrad 1143.164511	dualbound = 3744905.099245, lowerbound=1305592.099245, norm of subgrad 35.561668	 stepsize= 1.000000 
-dualbound = 3744978.729886, lowerbound=1303942.729886, norm of subgrad 1142.420120	dualbound = 3744978.729886, lowerbound=1303942.729886, norm of subgrad 35.420766	 stepsize= 1.000000 
-dualbound = 3745030.750275, lowerbound=1303500.750275, norm of subgrad 1142.262120	dualbound = 3745030.750275, lowerbound=1303500.750275, norm of subgrad 36.249419	 stepsize= 1.000000 
-dualbound = 3745072.847844, lowerbound=1310555.847844, norm of subgrad 1145.311245	dualbound = 3745072.847844, lowerbound=1310555.847844, norm of subgrad 34.987106	 stepsize= 1.000000 
-dualbound = 3745164.161732, lowerbound=1307580.161732, norm of subgrad 1144.016679	dualbound = 3745164.161732, lowerbound=1307580.161732, norm of subgrad 35.851275	 stepsize= 1.000000 
-dualbound = 3745221.098378, lowerbound=1304116.098378, norm of subgrad 1142.495120	dualbound = 3745221.098378, lowerbound=1304116.098378, norm of subgrad 35.155891	 stepsize= 1.000000 
-dualbound = 3745254.902199, lowerbound=1301585.902199, norm of subgrad 1141.400851	dualbound = 3745254.902199, lowerbound=1301585.902199, norm of subgrad 35.267603	 stepsize= 1.000000 
-dualbound = 3745339.437455, lowerbound=1310230.437455, norm of subgrad 1145.166554	dualbound = 3745339.437455, lowerbound=1310230.437455, norm of subgrad 35.504017	 stepsize= 1.000000 
-dualbound = 3745404.714949, lowerbound=1303499.714949, norm of subgrad 1142.204323	dualbound = 3745404.714949, lowerbound=1303499.714949, norm of subgrad 34.587245	 stepsize= 1.000000 
-dualbound = 3745462.680219, lowerbound=1305213.680219, norm of subgrad 1142.970113	dualbound = 3745462.680219, lowerbound=1305213.680219, norm of subgrad 34.999504	 stepsize= 1.000000 
-dualbound = 3745519.201933, lowerbound=1303927.201933, norm of subgrad 1142.407196	dualbound = 3745519.201933, lowerbound=1303927.201933, norm of subgrad 34.978875	 stepsize= 1.000000 
-dualbound = 3745584.154765, lowerbound=1305103.154765, norm of subgrad 1142.912138	dualbound = 3745584.154765, lowerbound=1305103.154765, norm of subgrad 34.784376	 stepsize= 1.000000 
-dualbound = 3745636.557275, lowerbound=1297653.557275, norm of subgrad 1139.674321	dualbound = 3745636.557275, lowerbound=1297653.557275, norm of subgrad 35.445769	 stepsize= 1.000000 
-dualbound = 3745686.080062, lowerbound=1311402.080062, norm of subgrad 1145.686292	dualbound = 3745686.080062, lowerbound=1311402.080062, norm of subgrad 35.277795	 stepsize= 1.000000 
-dualbound = 3745758.866100, lowerbound=1300249.866100, norm of subgrad 1140.797469	dualbound = 3745758.866100, lowerbound=1300249.866100, norm of subgrad 35.238985	 stepsize= 1.000000 
-dualbound = 3745828.006138, lowerbound=1307612.006138, norm of subgrad 1144.024041	dualbound = 3745828.006138, lowerbound=1307612.006138, norm of subgrad 35.329025	 stepsize= 1.000000 
-dualbound = 3745867.520370, lowerbound=1302923.520370, norm of subgrad 1142.031313	dualbound = 3745867.520370, lowerbound=1302923.520370, norm of subgrad 36.762946	 stepsize= 1.000000 
-dualbound = 3745918.538691, lowerbound=1307540.538691, norm of subgrad 1144.005917	dualbound = 3745918.538691, lowerbound=1307540.538691, norm of subgrad 35.496737	 stepsize= 1.000000 
-dualbound = 3746005.352676, lowerbound=1301234.352676, norm of subgrad 1141.237641	dualbound = 3746005.352676, lowerbound=1301234.352676, norm of subgrad 35.718538	 stepsize= 1.000000 
-dualbound = 3746059.621982, lowerbound=1314466.621982, norm of subgrad 1147.012477	dualbound = 3746059.621982, lowerbound=1314466.621982, norm of subgrad 35.003847	 stepsize= 1.000000 
-dualbound = 3746127.709084, lowerbound=1301834.709084, norm of subgrad 1141.529548	dualbound = 3746127.709084, lowerbound=1301834.709084, norm of subgrad 36.374264	 stepsize= 1.000000 
-dualbound = 3746171.252153, lowerbound=1306984.252153, norm of subgrad 1143.792486	dualbound = 3746171.252153, lowerbound=1306984.252153, norm of subgrad 36.339277	 stepsize= 1.000000 
-dualbound = 3746221.018518, lowerbound=1304522.018518, norm of subgrad 1142.684567	dualbound = 3746221.018518, lowerbound=1304522.018518, norm of subgrad 35.436794	 stepsize= 1.000000 
-dualbound = 3746291.115563, lowerbound=1298621.115563, norm of subgrad 1140.128552	dualbound = 3746291.115563, lowerbound=1298621.115563, norm of subgrad 36.634643	 stepsize= 1.000000 
-dualbound = 3746315.677502, lowerbound=1306985.677502, norm of subgrad 1143.752455	dualbound = 3746315.677502, lowerbound=1306985.677502, norm of subgrad 34.764377	 stepsize= 1.000000 
-dualbound = 3746427.609989, lowerbound=1307699.609989, norm of subgrad 1144.042661	dualbound = 3746427.609989, lowerbound=1307699.609989, norm of subgrad 35.297769	 stepsize= 1.000000 
-dualbound = 3746486.964866, lowerbound=1304337.964866, norm of subgrad 1142.623282	dualbound = 3746486.964866, lowerbound=1304337.964866, norm of subgrad 36.185009	 stepsize= 1.000000 
-dualbound = 3746512.717541, lowerbound=1303683.717541, norm of subgrad 1142.318571	dualbound = 3746512.717541, lowerbound=1303683.717541, norm of subgrad 35.124816	 stepsize= 1.000000 
-dualbound = 3746602.998452, lowerbound=1313545.998452, norm of subgrad 1146.638129	dualbound = 3746602.998452, lowerbound=1313545.998452, norm of subgrad 36.376928	 stepsize= 1.000000 
-dualbound = 3746652.772123, lowerbound=1306428.772123, norm of subgrad 1143.522528	dualbound = 3746652.772123, lowerbound=1306428.772123, norm of subgrad 35.563657	 stepsize= 1.000000 
-dualbound = 3746721.421097, lowerbound=1307833.421097, norm of subgrad 1144.152272	dualbound = 3746721.421097, lowerbound=1307833.421097, norm of subgrad 36.326973	 stepsize= 1.000000 
-dualbound = 3746778.096654, lowerbound=1303669.096654, norm of subgrad 1142.302542	dualbound = 3746778.096654, lowerbound=1303669.096654, norm of subgrad 35.251604	 stepsize= 1.000000 
-dualbound = 3746842.206107, lowerbound=1307240.206107, norm of subgrad 1143.863281	dualbound = 3746842.206107, lowerbound=1307240.206107, norm of subgrad 35.314437	 stepsize= 1.000000 
-dualbound = 3746894.098659, lowerbound=1302964.098659, norm of subgrad 1142.000481	dualbound = 3746894.098659, lowerbound=1302964.098659, norm of subgrad 35.396222	 stepsize= 1.000000 
-dualbound = 3746960.473181, lowerbound=1305882.473181, norm of subgrad 1143.272266	dualbound = 3746960.473181, lowerbound=1305882.473181, norm of subgrad 35.431265	 stepsize= 1.000000 
-dualbound = 3747031.636478, lowerbound=1307072.636478, norm of subgrad 1143.800086	dualbound = 3747031.636478, lowerbound=1307072.636478, norm of subgrad 35.737422	 stepsize= 1.000000 
-dualbound = 3747071.631087, lowerbound=1303277.631087, norm of subgrad 1142.149566	dualbound = 3747071.631087, lowerbound=1303277.631087, norm of subgrad 35.608912	 stepsize= 1.000000 
-dualbound = 3747150.952204, lowerbound=1305888.952204, norm of subgrad 1143.284283	dualbound = 3747150.952204, lowerbound=1305888.952204, norm of subgrad 35.907118	 stepsize= 1.000000 
-dualbound = 3747202.638135, lowerbound=1305015.638135, norm of subgrad 1142.897475	dualbound = 3747202.638135, lowerbound=1305015.638135, norm of subgrad 35.365038	 stepsize= 1.000000 
-dualbound = 3747252.967029, lowerbound=1304560.967029, norm of subgrad 1142.714298	dualbound = 3747252.967029, lowerbound=1304560.967029, norm of subgrad 35.851484	 stepsize= 1.000000 
-dualbound = 3747327.429368, lowerbound=1302616.429368, norm of subgrad 1141.820226	dualbound = 3747327.429368, lowerbound=1302616.429368, norm of subgrad 34.806068	 stepsize= 1.000000 
-dualbound = 3747406.358835, lowerbound=1306106.358835, norm of subgrad 1143.351372	dualbound = 3747406.358835, lowerbound=1306106.358835, norm of subgrad 34.998992	 stepsize= 1.000000 
-dualbound = 3747444.138937, lowerbound=1304886.138937, norm of subgrad 1142.840382	dualbound = 3747444.138937, lowerbound=1304886.138937, norm of subgrad 35.153664	 stepsize= 1.000000 
-dualbound = 3747501.277544, lowerbound=1305404.277544, norm of subgrad 1143.067486	dualbound = 3747501.277544, lowerbound=1305404.277544, norm of subgrad 35.442046	 stepsize= 1.000000 
-dualbound = 3747551.468671, lowerbound=1296240.468672, norm of subgrad 1139.078342	dualbound = 3747551.468671, lowerbound=1296240.468672, norm of subgrad 36.182746	 stepsize= 1.000000 
-dualbound = 3747601.370311, lowerbound=1313728.370311, norm of subgrad 1146.719395	dualbound = 3747601.370311, lowerbound=1313728.370311, norm of subgrad 35.873411	 stepsize= 1.000000 
-dualbound = 3747674.075914, lowerbound=1304087.075914, norm of subgrad 1142.497298	dualbound = 3747674.075914, lowerbound=1304087.075914, norm of subgrad 35.856737	 stepsize= 1.000000 
-dualbound = 3747734.468018, lowerbound=1310263.468018, norm of subgrad 1145.195384	dualbound = 3747734.468018, lowerbound=1310263.468018, norm of subgrad 35.628529	 stepsize= 1.000000 
-dualbound = 3747800.497722, lowerbound=1306854.497722, norm of subgrad 1143.695544	dualbound = 3747800.497722, lowerbound=1306854.497722, norm of subgrad 35.369898	 stepsize= 1.000000 
-dualbound = 3747851.407620, lowerbound=1301335.407620, norm of subgrad 1141.306448	dualbound = 3747851.407620, lowerbound=1301335.407620, norm of subgrad 35.998749	 stepsize= 1.000000 
-dualbound = 3747924.637520, lowerbound=1299562.637520, norm of subgrad 1140.513760	dualbound = 3747924.637520, lowerbound=1299562.637520, norm of subgrad 35.808238	 stepsize= 1.000000 
-dualbound = 3747969.007970, lowerbound=1302740.007970, norm of subgrad 1141.910683	dualbound = 3747969.007970, lowerbound=1302740.007970, norm of subgrad 35.557987	 stepsize= 1.000000 
-dualbound = 3748033.403650, lowerbound=1305393.403650, norm of subgrad 1143.064479	dualbound = 3748033.403650, lowerbound=1305393.403650, norm of subgrad 35.600501	 stepsize= 1.000000 
-dualbound = 3748109.957736, lowerbound=1308005.957736, norm of subgrad 1144.186155	dualbound = 3748109.957736, lowerbound=1308005.957736, norm of subgrad 35.107750	 stepsize= 1.000000 
-dualbound = 3748167.426272, lowerbound=1306407.426272, norm of subgrad 1143.492206	dualbound = 3748167.426272, lowerbound=1306407.426272, norm of subgrad 34.992407	 stepsize= 1.000000 
-dualbound = 3748227.571209, lowerbound=1311804.571209, norm of subgrad 1145.889860	dualbound = 3748227.571209, lowerbound=1311804.571209, norm of subgrad 36.320035	 stepsize= 1.000000 
-dualbound = 3748246.577148, lowerbound=1303559.577148, norm of subgrad 1142.265984	dualbound = 3748246.577148, lowerbound=1303559.577148, norm of subgrad 35.085694	 stepsize= 1.000000 
-dualbound = 3748343.339066, lowerbound=1308101.339066, norm of subgrad 1144.252306	dualbound = 3748343.339066, lowerbound=1308101.339066, norm of subgrad 36.176815	 stepsize= 1.000000 
-dualbound = 3748412.715554, lowerbound=1306688.715554, norm of subgrad 1143.632247	dualbound = 3748412.715554, lowerbound=1306688.715554, norm of subgrad 35.712414	 stepsize= 1.000000 
-dualbound = 3748448.785403, lowerbound=1303434.785403, norm of subgrad 1142.200414	dualbound = 3748448.785403, lowerbound=1303434.785403, norm of subgrad 34.972416	 stepsize= 1.000000 
-dualbound = 3748541.602820, lowerbound=1305470.602820, norm of subgrad 1143.084250	dualbound = 3748541.602820, lowerbound=1305470.602820, norm of subgrad 35.550210	 stepsize= 1.000000 
-dualbound = 3748595.149740, lowerbound=1314510.149740, norm of subgrad 1147.032323	dualbound = 3748595.149740, lowerbound=1314510.149740, norm of subgrad 35.022092	 stepsize= 1.000000 
-dualbound = 3748669.618784, lowerbound=1300541.618784, norm of subgrad 1140.867047	dualbound = 3748669.618784, lowerbound=1300541.618784, norm of subgrad 33.323701	 stepsize= 1.000000 
-dualbound = 3748734.887593, lowerbound=1305914.887593, norm of subgrad 1143.268511	dualbound = 3748734.887593, lowerbound=1305914.887593, norm of subgrad 34.832008	 stepsize= 1.000000 
-dualbound = 3748785.146211, lowerbound=1308009.146211, norm of subgrad 1144.205028	dualbound = 3748785.146211, lowerbound=1308009.146211, norm of subgrad 35.302388	 stepsize= 1.000000 
-dualbound = 3748808.176648, lowerbound=1303952.176648, norm of subgrad 1142.429069	dualbound = 3748808.176648, lowerbound=1303952.176648, norm of subgrad 34.857287	 stepsize= 1.000000 
-dualbound = 3748898.324770, lowerbound=1310297.324770, norm of subgrad 1145.188336	dualbound = 3748898.324770, lowerbound=1310297.324770, norm of subgrad 35.343290	 stepsize= 1.000000 
-dualbound = 3748957.415375, lowerbound=1306646.415375, norm of subgrad 1143.609818	dualbound = 3748957.415375, lowerbound=1306646.415375, norm of subgrad 35.441369	 stepsize= 1.000000 
-dualbound = 3748987.656001, lowerbound=1308332.656001, norm of subgrad 1144.352068	dualbound = 3748987.656001, lowerbound=1308332.656001, norm of subgrad 35.202850	 stepsize= 1.000000 
-dualbound = 3749079.155845, lowerbound=1304094.155845, norm of subgrad 1142.474138	dualbound = 3749079.155845, lowerbound=1304094.155845, norm of subgrad 35.277469	 stepsize= 1.000000 
-dualbound = 3749111.285996, lowerbound=1306300.285996, norm of subgrad 1143.482088	dualbound = 3749111.285996, lowerbound=1306300.285996, norm of subgrad 35.820806	 stepsize= 1.000000 
-dualbound = 3749160.466796, lowerbound=1308384.466796, norm of subgrad 1144.372958	dualbound = 3749160.466796, lowerbound=1308384.466796, norm of subgrad 35.414415	 stepsize= 1.000000 
-dualbound = 3749250.398139, lowerbound=1303090.398139, norm of subgrad 1142.029508	dualbound = 3749250.398139, lowerbound=1303090.398139, norm of subgrad 35.084631	 stepsize= 1.000000 
-dualbound = 3749309.690274, lowerbound=1314340.690274, norm of subgrad 1146.973274	dualbound = 3749309.690274, lowerbound=1314340.690274, norm of subgrad 35.584999	 stepsize= 1.000000 
-dualbound = 3749365.299813, lowerbound=1302285.299813, norm of subgrad 1141.715069	dualbound = 3749365.299813, lowerbound=1302285.299813, norm of subgrad 35.827497	 stepsize= 1.000000 
-dualbound = 3749422.837642, lowerbound=1307567.837642, norm of subgrad 1144.027901	dualbound = 3749422.837642, lowerbound=1307567.837642, norm of subgrad 35.910135	 stepsize= 1.000000 
-dualbound = 3749474.388979, lowerbound=1306244.388979, norm of subgrad 1143.431410	dualbound = 3749474.388979, lowerbound=1306244.388979, norm of subgrad 35.249842	 stepsize= 1.000000 
-dualbound = 3749568.149712, lowerbound=1308314.149712, norm of subgrad 1144.320825	dualbound = 3749568.149712, lowerbound=1308314.149712, norm of subgrad 35.351955	 stepsize= 1.000000 
-dualbound = 3749593.540709, lowerbound=1306498.540709, norm of subgrad 1143.576644	dualbound = 3749593.540709, lowerbound=1306498.540709, norm of subgrad 35.977646	 stepsize= 1.000000 
-dualbound = 3749670.455719, lowerbound=1306676.455719, norm of subgrad 1143.598468	dualbound = 3749670.455719, lowerbound=1306676.455719, norm of subgrad 34.898639	 stepsize= 1.000000 
-dualbound = 3749736.579348, lowerbound=1306221.579348, norm of subgrad 1143.408317	dualbound = 3749736.579348, lowerbound=1306221.579348, norm of subgrad 35.030324	 stepsize= 1.000000 
-dualbound = 3749790.406309, lowerbound=1302500.406309, norm of subgrad 1141.760223	dualbound = 3749790.406309, lowerbound=1302500.406309, norm of subgrad 34.202733	 stepsize= 1.000000 
-dualbound = 3749861.459853, lowerbound=1310601.459853, norm of subgrad 1145.308020	dualbound = 3749861.459853, lowerbound=1310601.459853, norm of subgrad 34.641789	 stepsize= 1.000000 
-dualbound = 3749907.536095, lowerbound=1309424.536095, norm of subgrad 1144.802837	dualbound = 3749907.536095, lowerbound=1309424.536095, norm of subgrad 34.569875	 stepsize= 1.000000 
-dualbound = 3749989.568372, lowerbound=1306036.568372, norm of subgrad 1143.302046	dualbound = 3749989.568372, lowerbound=1306036.568372, norm of subgrad 34.424298	 stepsize= 1.000000 
-dualbound = 3750027.019495, lowerbound=1308967.019495, norm of subgrad 1144.620470	dualbound = 3750027.019495, lowerbound=1308967.019495, norm of subgrad 35.020724	 stepsize= 1.000000 
-dualbound = 3750072.375697, lowerbound=1298548.375697, norm of subgrad 1140.066829	dualbound = 3750072.375697, lowerbound=1298548.375697, norm of subgrad 35.346233	 stepsize= 1.000000 
-dualbound = 3750134.391931, lowerbound=1303964.391931, norm of subgrad 1142.436603	dualbound = 3750134.391931, lowerbound=1303964.391931, norm of subgrad 35.482619	 stepsize= 1.000000 
-dualbound = 3750219.966840, lowerbound=1306243.966840, norm of subgrad 1143.450903	dualbound = 3750219.966840, lowerbound=1306243.966840, norm of subgrad 36.353472	 stepsize= 1.000000 
-dualbound = 3750248.280820, lowerbound=1308902.280820, norm of subgrad 1144.606168	dualbound = 3750248.280820, lowerbound=1308902.280820, norm of subgrad 35.345636	 stepsize= 1.000000 
-dualbound = 3750329.886989, lowerbound=1299496.886989, norm of subgrad 1140.466960	dualbound = 3750329.886989, lowerbound=1299496.886989, norm of subgrad 35.349769	 stepsize= 1.000000 
-dualbound = 3750394.005836, lowerbound=1308014.005836, norm of subgrad 1144.224194	dualbound = 3750394.005836, lowerbound=1308014.005836, norm of subgrad 36.043291	 stepsize= 1.000000 
-dualbound = 3750444.391309, lowerbound=1303887.391309, norm of subgrad 1142.403340	dualbound = 3750444.391309, lowerbound=1303887.391309, norm of subgrad 35.332499	 stepsize= 1.000000 
-dualbound = 3750485.672719, lowerbound=1301518.672719, norm of subgrad 1141.392427	dualbound = 3750485.672719, lowerbound=1301518.672719, norm of subgrad 36.045546	 stepsize= 1.000000 
-dualbound = 3750572.111277, lowerbound=1310659.111277, norm of subgrad 1145.389502	dualbound = 3750572.111277, lowerbound=1310659.111277, norm of subgrad 36.666586	 stepsize= 1.000000 
-dualbound = 3750619.375034, lowerbound=1303667.375034, norm of subgrad 1142.290845	dualbound = 3750619.375034, lowerbound=1303667.375034, norm of subgrad 34.760089	 stepsize= 1.000000 
-dualbound = 3750701.482168, lowerbound=1304306.482168, norm of subgrad 1142.577561	dualbound = 3750701.482168, lowerbound=1304306.482168, norm of subgrad 35.483900	 stepsize= 1.000000 
-dualbound = 3750734.958567, lowerbound=1309443.958567, norm of subgrad 1144.833158	dualbound = 3750734.958567, lowerbound=1309443.958567, norm of subgrad 35.106643	 stepsize= 1.000000 
-dualbound = 3750810.523051, lowerbound=1305897.523051, norm of subgrad 1143.290218	dualbound = 3750810.523051, lowerbound=1305897.523051, norm of subgrad 35.924427	 stepsize= 1.000000 
-dualbound = 3750871.824404, lowerbound=1301034.824404, norm of subgrad 1141.154601	dualbound = 3750871.824404, lowerbound=1301034.824404, norm of subgrad 35.500723	 stepsize= 1.000000 
-dualbound = 3750928.869648, lowerbound=1310924.869648, norm of subgrad 1145.465787	dualbound = 3750928.869648, lowerbound=1310924.869648, norm of subgrad 34.986358	 stepsize= 1.000000 
-dualbound = 3750989.860969, lowerbound=1303365.860969, norm of subgrad 1142.193443	dualbound = 3750989.860969, lowerbound=1303365.860969, norm of subgrad 36.069257	 stepsize= 1.000000 
-dualbound = 3751047.568474, lowerbound=1304347.568474, norm of subgrad 1142.629235	dualbound = 3751047.568474, lowerbound=1304347.568474, norm of subgrad 36.217503	 stepsize= 1.000000 
-dualbound = 3751089.857543, lowerbound=1302754.857543, norm of subgrad 1141.923753	dualbound = 3751089.857543, lowerbound=1302754.857543, norm of subgrad 35.739181	 stepsize= 1.000000 
-dualbound = 3751156.707512, lowerbound=1311935.707512, norm of subgrad 1145.922208	dualbound = 3751156.707512, lowerbound=1311935.707512, norm of subgrad 35.620920	 stepsize= 1.000000 
-dualbound = 3751220.522692, lowerbound=1307410.522692, norm of subgrad 1143.925488	dualbound = 3751220.522692, lowerbound=1307410.522692, norm of subgrad 34.911534	 stepsize= 1.000000 
-dualbound = 3751287.667405, lowerbound=1309192.667405, norm of subgrad 1144.718161	dualbound = 3751287.667405, lowerbound=1309192.667405, norm of subgrad 35.413906	 stepsize= 1.000000 
-dualbound = 3751342.488654, lowerbound=1300721.488654, norm of subgrad 1141.015990	dualbound = 3751342.488654, lowerbound=1300721.488654, norm of subgrad 35.366951	 stepsize= 1.000000 
-dualbound = 3751401.860169, lowerbound=1308813.860169, norm of subgrad 1144.556622	dualbound = 3751401.860169, lowerbound=1308813.860169, norm of subgrad 35.431222	 stepsize= 1.000000 
-dualbound = 3751462.386468, lowerbound=1308749.386468, norm of subgrad 1144.528893	dualbound = 3751462.386468, lowerbound=1308749.386468, norm of subgrad 35.461617	 stepsize= 1.000000 
-dualbound = 3751524.403245, lowerbound=1307654.403245, norm of subgrad 1144.056119	dualbound = 3751524.403245, lowerbound=1307654.403245, norm of subgrad 35.665344	 stepsize= 1.000000 
-dualbound = 3751565.031004, lowerbound=1305149.031004, norm of subgrad 1142.988640	dualbound = 3751565.031004, lowerbound=1305149.031004, norm of subgrad 36.257796	 stepsize= 1.000000 
-dualbound = 3751616.978563, lowerbound=1304744.978563, norm of subgrad 1142.795248	dualbound = 3751616.978563, lowerbound=1304744.978563, norm of subgrad 35.887986	 stepsize= 1.000000 
-dualbound = 3751698.830033, lowerbound=1309596.830033, norm of subgrad 1144.901232	dualbound = 3751698.830033, lowerbound=1309596.830033, norm of subgrad 35.830873	 stepsize= 1.000000 
-dualbound = 3751771.173460, lowerbound=1299288.173460, norm of subgrad 1140.378522	dualbound = 3751771.173460, lowerbound=1299288.173460, norm of subgrad 35.317749	 stepsize= 1.000000 
-dualbound = 3751818.268831, lowerbound=1308910.268831, norm of subgrad 1144.615773	dualbound = 3751818.268831, lowerbound=1308910.268831, norm of subgrad 35.806359	 stepsize= 1.000000 
-dualbound = 3751879.934591, lowerbound=1306731.934591, norm of subgrad 1143.643272	dualbound = 3751879.934591, lowerbound=1306731.934591, norm of subgrad 35.350612	 stepsize= 1.000000 
-dualbound = 3751932.053227, lowerbound=1308869.053227, norm of subgrad 1144.590343	dualbound = 3751932.053227, lowerbound=1308869.053227, norm of subgrad 35.638724	 stepsize= 1.000000 
-dualbound = 3752012.421502, lowerbound=1304068.421502, norm of subgrad 1142.485633	dualbound = 3752012.421502, lowerbound=1304068.421502, norm of subgrad 35.852033	 stepsize= 1.000000 
-dualbound = 3752066.120447, lowerbound=1305729.120447, norm of subgrad 1143.201260	dualbound = 3752066.120447, lowerbound=1305729.120447, norm of subgrad 35.124051	 stepsize= 1.000000 
-dualbound = 3752124.204351, lowerbound=1304204.204351, norm of subgrad 1142.533678	dualbound = 3752124.204351, lowerbound=1304204.204351, norm of subgrad 35.172204	 stepsize= 1.000000 
-dualbound = 3752187.749308, lowerbound=1305171.749308, norm of subgrad 1142.976268	dualbound = 3752187.749308, lowerbound=1305171.749308, norm of subgrad 35.868440	 stepsize= 1.000000 
-dualbound = 3752223.104015, lowerbound=1308587.104015, norm of subgrad 1144.469792	dualbound = 3752223.104015, lowerbound=1308587.104015, norm of subgrad 35.487388	 stepsize= 1.000000 
-dualbound = 3752283.230358, lowerbound=1305360.230358, norm of subgrad 1143.093710	dualbound = 3752283.230358, lowerbound=1305360.230358, norm of subgrad 36.920541	 stepsize= 1.000000 
-dualbound = 3752338.186282, lowerbound=1304495.186282, norm of subgrad 1142.678514	dualbound = 3752338.186282, lowerbound=1304495.186282, norm of subgrad 35.692519	 stepsize= 1.000000 
-dualbound = 3752419.748822, lowerbound=1307327.748822, norm of subgrad 1143.883626	dualbound = 3752419.748822, lowerbound=1307327.748822, norm of subgrad 34.979459	 stepsize= 1.000000 
-dualbound = 3752486.494766, lowerbound=1308739.494766, norm of subgrad 1144.513213	dualbound = 3752486.494766, lowerbound=1308739.494766, norm of subgrad 35.181614	 stepsize= 1.000000 
-dualbound = 3752545.741703, lowerbound=1301776.741703, norm of subgrad 1141.498463	dualbound = 3752545.741703, lowerbound=1301776.741703, norm of subgrad 36.072801	 stepsize= 1.000000 
-dualbound = 3752586.758006, lowerbound=1306576.758006, norm of subgrad 1143.571492	dualbound = 3752586.758006, lowerbound=1306576.758006, norm of subgrad 34.928732	 stepsize= 1.000000 
-dualbound = 3752658.512085, lowerbound=1305361.512085, norm of subgrad 1143.041781	dualbound = 3752658.512085, lowerbound=1305361.512085, norm of subgrad 35.422508	 stepsize= 1.000000 
-dualbound = 3752700.085380, lowerbound=1306967.085380, norm of subgrad 1143.760502	dualbound = 3752700.085380, lowerbound=1306967.085380, norm of subgrad 35.532707	 stepsize= 1.000000 
-dualbound = 3752764.126946, lowerbound=1308898.126946, norm of subgrad 1144.596491	dualbound = 3752764.126946, lowerbound=1308898.126946, norm of subgrad 35.595527	 stepsize= 1.000000 
-dualbound = 3752823.560987, lowerbound=1302772.560987, norm of subgrad 1141.923623	dualbound = 3752823.560987, lowerbound=1302772.560987, norm of subgrad 35.727217	 stepsize= 1.000000 
-dualbound = 3752879.863852, lowerbound=1308011.863852, norm of subgrad 1144.212770	dualbound = 3752879.863852, lowerbound=1308011.863852, norm of subgrad 35.599198	 stepsize= 1.000000 
-dualbound = 3752950.839514, lowerbound=1307786.839514, norm of subgrad 1144.079910	dualbound = 3752950.839514, lowerbound=1307786.839514, norm of subgrad 34.683940	 stepsize= 1.000000 
-dualbound = 3753023.982426, lowerbound=1305535.982426, norm of subgrad 1143.094914	dualbound = 3753023.982426, lowerbound=1305535.982426, norm of subgrad 34.686351	 stepsize= 1.000000 
-dualbound = 3753090.377861, lowerbound=1306888.377861, norm of subgrad 1143.660517	dualbound = 3753090.377861, lowerbound=1306888.377861, norm of subgrad 33.725294	 stepsize= 1.000000 
-dualbound = 3753178.592446, lowerbound=1308303.592446, norm of subgrad 1144.314464	dualbound = 3753178.592446, lowerbound=1308303.592446, norm of subgrad 35.216680	 stepsize= 1.000000 
-dualbound = 3753189.999205, lowerbound=1303009.999205, norm of subgrad 1142.005254	dualbound = 3753189.999205, lowerbound=1303009.999205, norm of subgrad 34.313361	 stepsize= 1.000000 
-dualbound = 3753241.705530, lowerbound=1302087.705530, norm of subgrad 1141.628970	dualbound = 3753241.705530, lowerbound=1302087.705530, norm of subgrad 35.786957	 stepsize= 1.000000 
-dualbound = 3753304.634852, lowerbound=1307181.634852, norm of subgrad 1143.840738	dualbound = 3753304.634852, lowerbound=1307181.634852, norm of subgrad 35.396742	 stepsize= 1.000000 
-dualbound = 3753376.098299, lowerbound=1307479.098299, norm of subgrad 1143.961144	dualbound = 3753376.098299, lowerbound=1307479.098299, norm of subgrad 35.206014	 stepsize= 1.000000 
-dualbound = 3753427.080871, lowerbound=1307574.080871, norm of subgrad 1144.018829	dualbound = 3753427.080871, lowerbound=1307574.080871, norm of subgrad 35.439844	 stepsize= 1.000000 
-dualbound = 3753504.298772, lowerbound=1302554.298772, norm of subgrad 1141.784699	dualbound = 3753504.298772, lowerbound=1302554.298772, norm of subgrad 34.571924	 stepsize= 1.000000 
-dualbound = 3753552.971348, lowerbound=1304668.971348, norm of subgrad 1142.716925	dualbound = 3753552.971348, lowerbound=1304668.971348, norm of subgrad 34.375465	 stepsize= 1.000000 
-dualbound = 3753637.604953, lowerbound=1312863.604953, norm of subgrad 1146.312176	dualbound = 3753637.604953, lowerbound=1312863.604953, norm of subgrad 35.392564	 stepsize= 1.000000 
-dualbound = 3753666.370301, lowerbound=1301453.370301, norm of subgrad 1141.305117	dualbound = 3753666.370301, lowerbound=1301453.370301, norm of subgrad 33.952398	 stepsize= 1.000000 
-dualbound = 3753746.672383, lowerbound=1302420.672383, norm of subgrad 1141.748077	dualbound = 3753746.672383, lowerbound=1302420.672383, norm of subgrad 35.331319	 stepsize= 1.000000 
-dualbound = 3753767.158240, lowerbound=1309950.158240, norm of subgrad 1145.051596	dualbound = 3753767.158240, lowerbound=1309950.158240, norm of subgrad 34.835124	 stepsize= 1.000000 
-dualbound = 3753852.768298, lowerbound=1303478.768298, norm of subgrad 1142.238052	dualbound = 3753852.768298, lowerbound=1303478.768298, norm of subgrad 36.257552	 stepsize= 1.000000 
-dualbound = 3753909.964933, lowerbound=1307142.964933, norm of subgrad 1143.830829	dualbound = 3753909.964933, lowerbound=1307142.964933, norm of subgrad 35.541478	 stepsize= 1.000000 
-dualbound = 3753968.863510, lowerbound=1311009.863510, norm of subgrad 1145.538242	dualbound = 3753968.863510, lowerbound=1311009.863510, norm of subgrad 36.151052	 stepsize= 1.000000 
-dualbound = 3754006.065824, lowerbound=1305728.065824, norm of subgrad 1143.202985	dualbound = 3754006.065824, lowerbound=1305728.065824, norm of subgrad 34.960010	 stepsize= 1.000000 
-dualbound = 3754072.349131, lowerbound=1313823.349131, norm of subgrad 1146.764295	dualbound = 3754072.349131, lowerbound=1313823.349131, norm of subgrad 36.211646	 stepsize= 1.000000 
-dualbound = 3754139.714011, lowerbound=1303054.714011, norm of subgrad 1142.044970	dualbound = 3754139.714011, lowerbound=1303054.714011, norm of subgrad 35.768210	 stepsize= 1.000000 
-dualbound = 3754223.989453, lowerbound=1304061.989453, norm of subgrad 1142.443429	dualbound = 3754223.989453, lowerbound=1304061.989453, norm of subgrad 34.630556	 stepsize= 1.000000 
-dualbound = 3754271.464037, lowerbound=1310089.464037, norm of subgrad 1145.096705	dualbound = 3754271.464037, lowerbound=1310089.464037, norm of subgrad 34.705541	 stepsize= 1.000000 
-dualbound = 3754322.030128, lowerbound=1306104.030128, norm of subgrad 1143.377466	dualbound = 3754322.030128, lowerbound=1306104.030128, norm of subgrad 35.476275	 stepsize= 1.000000 
-dualbound = 3754357.470242, lowerbound=1309825.470242, norm of subgrad 1145.020729	dualbound = 3754357.470242, lowerbound=1309825.470242, norm of subgrad 35.811173	 stepsize= 1.000000 
-dualbound = 3754409.776187, lowerbound=1309160.776187, norm of subgrad 1144.728254	dualbound = 3754409.776187, lowerbound=1309160.776187, norm of subgrad 35.976464	 stepsize= 1.000000 
-dualbound = 3754487.262797, lowerbound=1306620.262797, norm of subgrad 1143.599258	dualbound = 3754487.262797, lowerbound=1306620.262797, norm of subgrad 35.727953	 stepsize= 1.000000 
-dualbound = 3754548.206106, lowerbound=1306702.206106, norm of subgrad 1143.615847	dualbound = 3754548.206106, lowerbound=1306702.206106, norm of subgrad 34.870379	 stepsize= 1.000000 
-dualbound = 3754632.438505, lowerbound=1308240.438505, norm of subgrad 1144.285558	dualbound = 3754632.438505, lowerbound=1308240.438505, norm of subgrad 35.117409	 stepsize= 1.000000 
-dualbound = 3754646.946250, lowerbound=1304282.946250, norm of subgrad 1142.585641	dualbound = 3754646.946250, lowerbound=1304282.946250, norm of subgrad 35.121329	 stepsize= 1.000000 
-dualbound = 3754720.043763, lowerbound=1306922.043763, norm of subgrad 1143.739063	dualbound = 3754720.043763, lowerbound=1306922.043763, norm of subgrad 35.917927	 stepsize= 1.000000 
-dualbound = 3754790.064210, lowerbound=1304697.064210, norm of subgrad 1142.754595	dualbound = 3754790.064210, lowerbound=1304697.064210, norm of subgrad 35.510850	 stepsize= 1.000000 
-dualbound = 3754854.832460, lowerbound=1308527.832460, norm of subgrad 1144.408071	dualbound = 3754854.832460, lowerbound=1308527.832460, norm of subgrad 34.738570	 stepsize= 1.000000 
-dualbound = 3754912.422694, lowerbound=1308197.422694, norm of subgrad 1144.274190	dualbound = 3754912.422694, lowerbound=1308197.422694, norm of subgrad 34.979855	 stepsize= 1.000000 
-dualbound = 3754968.875288, lowerbound=1305230.875288, norm of subgrad 1142.975011	dualbound = 3754968.875288, lowerbound=1305230.875288, norm of subgrad 34.892013	 stepsize= 1.000000 
-dualbound = 3755033.303702, lowerbound=1308548.303702, norm of subgrad 1144.435801	dualbound = 3755033.303702, lowerbound=1308548.303702, norm of subgrad 35.347255	 stepsize= 1.000000 
-dualbound = 3755090.980682, lowerbound=1302033.980682, norm of subgrad 1141.576971	dualbound = 3755090.980682, lowerbound=1302033.980682, norm of subgrad 34.952496	 stepsize= 1.000000 
-dualbound = 3755152.867795, lowerbound=1310352.867795, norm of subgrad 1145.214769	dualbound = 3755152.867795, lowerbound=1310352.867795, norm of subgrad 35.012671	 stepsize= 1.000000 
-dualbound = 3755193.254583, lowerbound=1305932.254583, norm of subgrad 1143.302783	dualbound = 3755193.254583, lowerbound=1305932.254583, norm of subgrad 35.346666	 stepsize= 1.000000 
-dualbound = 3755259.749120, lowerbound=1307495.749120, norm of subgrad 1143.969296	dualbound = 3755259.749120, lowerbound=1307495.749120, norm of subgrad 35.163824	 stepsize= 1.000000 
-dualbound = 3755311.884924, lowerbound=1307571.884924, norm of subgrad 1144.019180	dualbound = 3755311.884924, lowerbound=1307571.884924, norm of subgrad 35.498392	 stepsize= 1.000000 
-dualbound = 3755360.752295, lowerbound=1311574.752295, norm of subgrad 1145.780848	dualbound = 3755360.752295, lowerbound=1311574.752295, norm of subgrad 35.886869	 stepsize= 1.000000 
-dualbound = 3755404.435424, lowerbound=1305412.435424, norm of subgrad 1143.074554	dualbound = 3755404.435424, lowerbound=1305412.435424, norm of subgrad 35.364999	 stepsize= 1.000000 
-dualbound = 3755506.903054, lowerbound=1310015.903054, norm of subgrad 1145.027905	dualbound = 3755506.903054, lowerbound=1310015.903054, norm of subgrad 34.285093	 stepsize= 1.000000 
-dualbound = 3755573.283187, lowerbound=1307211.283187, norm of subgrad 1143.838836	dualbound = 3755573.283187, lowerbound=1307211.283187, norm of subgrad 34.962553	 stepsize= 1.000000 
-dualbound = 3755614.576822, lowerbound=1303301.576822, norm of subgrad 1142.143851	dualbound = 3755614.576822, lowerbound=1303301.576822, norm of subgrad 35.104040	 stepsize= 1.000000 
-dualbound = 3755672.425096, lowerbound=1307763.425096, norm of subgrad 1144.079291	dualbound = 3755672.425096, lowerbound=1307763.425096, norm of subgrad 34.811611	 stepsize= 1.000000 
-dualbound = 3755738.034285, lowerbound=1311477.034285, norm of subgrad 1145.741260	dualbound = 3755738.034285, lowerbound=1311477.034285, norm of subgrad 36.216145	 stepsize= 1.000000 
-dualbound = 3755769.677616, lowerbound=1305470.677616, norm of subgrad 1143.112277	dualbound = 3755769.677616, lowerbound=1305470.677616, norm of subgrad 35.589933	 stepsize= 1.000000 
-dualbound = 3755832.313201, lowerbound=1304945.313201, norm of subgrad 1142.890770	dualbound = 3755832.313201, lowerbound=1304945.313201, norm of subgrad 36.285473	 stepsize= 1.000000 
-dualbound = 3755899.413223, lowerbound=1308008.413223, norm of subgrad 1144.217817	dualbound = 3755899.413223, lowerbound=1308008.413223, norm of subgrad 35.959700	 stepsize= 1.000000 
-dualbound = 3755953.120960, lowerbound=1309581.120960, norm of subgrad 1144.909220	dualbound = 3755953.120960, lowerbound=1309581.120960, norm of subgrad 35.912501	 stepsize= 1.000000 
-dualbound = 3756016.516194, lowerbound=1305142.516194, norm of subgrad 1142.961293	dualbound = 3756016.516194, lowerbound=1305142.516194, norm of subgrad 35.796581	 stepsize= 1.000000 
-dualbound = 3756083.862737, lowerbound=1307454.862737, norm of subgrad 1143.940061	dualbound = 3756083.862737, lowerbound=1307454.862737, norm of subgrad 34.804404	 stepsize= 1.000000 
-dualbound = 3756158.179579, lowerbound=1306394.179579, norm of subgrad 1143.499969	dualbound = 3756158.179579, lowerbound=1306394.179579, norm of subgrad 35.669551	 stepsize= 1.000000 
-dualbound = 3756168.702786, lowerbound=1305551.702786, norm of subgrad 1143.118412	dualbound = 3756168.702786, lowerbound=1305551.702786, norm of subgrad 34.329626	 stepsize= 1.000000 
-dualbound = 3756268.330231, lowerbound=1310096.330231, norm of subgrad 1145.101013	dualbound = 3756268.330231, lowerbound=1310096.330231, norm of subgrad 35.491231	 stepsize= 1.000000 
-dualbound = 3756315.281069, lowerbound=1305543.281069, norm of subgrad 1143.090233	dualbound = 3756315.281069, lowerbound=1305543.281069, norm of subgrad 34.043367	 stepsize= 1.000000 
-dualbound = 3756408.747972, lowerbound=1304792.747972, norm of subgrad 1142.774583	dualbound = 3756408.747972, lowerbound=1304792.747972, norm of subgrad 35.134981	 stepsize= 1.000000 
-dualbound = 3756417.941336, lowerbound=1307739.941336, norm of subgrad 1144.069465	dualbound = 3756417.941336, lowerbound=1307739.941336, norm of subgrad 34.120278	 stepsize= 1.000000 
-dualbound = 3756519.149532, lowerbound=1302389.149532, norm of subgrad 1141.720259	dualbound = 3756519.149532, lowerbound=1302389.149532, norm of subgrad 35.173970	 stepsize= 1.000000 
-dualbound = 3756576.282070, lowerbound=1309964.282070, norm of subgrad 1145.034184	dualbound = 3756576.282070, lowerbound=1309964.282070, norm of subgrad 34.585149	 stepsize= 1.000000 
-dualbound = 3756623.674727, lowerbound=1307608.674727, norm of subgrad 1144.013844	dualbound = 3756623.674727, lowerbound=1307608.674727, norm of subgrad 34.733164	 stepsize= 1.000000 
-dualbound = 3756649.973856, lowerbound=1313057.973856, norm of subgrad 1146.438386	dualbound = 3756649.973856, lowerbound=1313057.973856, norm of subgrad 35.906812	 stepsize= 1.000000 
-dualbound = 3756692.815988, lowerbound=1303516.815988, norm of subgrad 1142.249892	dualbound = 3756692.815988, lowerbound=1303516.815988, norm of subgrad 35.508339	 stepsize= 1.000000 
-dualbound = 3756788.777991, lowerbound=1309756.777991, norm of subgrad 1144.974139	dualbound = 3756788.777991, lowerbound=1309756.777991, norm of subgrad 36.124258	 stepsize= 1.000000 
-dualbound = 3756818.226847, lowerbound=1305793.226847, norm of subgrad 1143.258163	dualbound = 3756818.226847, lowerbound=1305793.226847, norm of subgrad 35.713427	 stepsize= 1.000000 
-dualbound = 3756902.621991, lowerbound=1312414.621991, norm of subgrad 1146.121556	dualbound = 3756902.621991, lowerbound=1312414.621991, norm of subgrad 35.558334	 stepsize= 1.000000 
-dualbound = 3756954.065917, lowerbound=1304763.065917, norm of subgrad 1142.777347	dualbound = 3756954.065917, lowerbound=1304763.065917, norm of subgrad 35.049164	 stepsize= 1.000000 
-dualbound = 3757019.400510, lowerbound=1310561.400510, norm of subgrad 1145.314106	dualbound = 3757019.400510, lowerbound=1310561.400510, norm of subgrad 35.331779	 stepsize= 1.000000 
-dualbound = 3757056.653475, lowerbound=1306523.653475, norm of subgrad 1143.556144	dualbound = 3757056.653475, lowerbound=1306523.653475, norm of subgrad 35.131937	 stepsize= 1.000000 
-dualbound = 3757148.126469, lowerbound=1310458.126469, norm of subgrad 1145.245880	dualbound = 3757148.126469, lowerbound=1310458.126469, norm of subgrad 34.949578	 stepsize= 1.000000 
-dualbound = 3757197.457098, lowerbound=1305176.457098, norm of subgrad 1142.976578	dualbound = 3757197.457098, lowerbound=1305176.457098, norm of subgrad 35.613630	 stepsize= 1.000000 
-dualbound = 3757245.150994, lowerbound=1315180.150994, norm of subgrad 1147.332189	dualbound = 3757245.150994, lowerbound=1315180.150994, norm of subgrad 35.195083	 stepsize= 1.000000 
-dualbound = 3757291.193145, lowerbound=1299513.193145, norm of subgrad 1140.498221	dualbound = 3757291.193145, lowerbound=1299513.193145, norm of subgrad 35.623618	 stepsize= 1.000000 
-dualbound = 3757379.417802, lowerbound=1308735.417802, norm of subgrad 1144.491336	dualbound = 3757379.417802, lowerbound=1308735.417802, norm of subgrad 34.831375	 stepsize= 1.000000 
-dualbound = 3757440.152934, lowerbound=1305874.152934, norm of subgrad 1143.257693	dualbound = 3757440.152934, lowerbound=1305874.152934, norm of subgrad 34.996216	 stepsize= 1.000000 
-dualbound = 3757503.043660, lowerbound=1308428.043660, norm of subgrad 1144.374958	dualbound = 3757503.043660, lowerbound=1308428.043660, norm of subgrad 35.055538	 stepsize= 1.000000 
-dualbound = 3757548.924030, lowerbound=1305327.924030, norm of subgrad 1143.015715	dualbound = 3757548.924030, lowerbound=1305327.924030, norm of subgrad 34.682566	 stepsize= 1.000000 
-dualbound = 3757608.554677, lowerbound=1310313.554677, norm of subgrad 1145.192366	dualbound = 3757608.554677, lowerbound=1310313.554677, norm of subgrad 34.808485	 stepsize= 1.000000 
-dualbound = 3757657.947289, lowerbound=1304033.947289, norm of subgrad 1142.447788	dualbound = 3757657.947289, lowerbound=1304033.947289, norm of subgrad 34.675533	 stepsize= 1.000000 
-dualbound = 3757729.353578, lowerbound=1312721.353578, norm of subgrad 1146.249255	dualbound = 3757729.353578, lowerbound=1312721.353578, norm of subgrad 35.176786	 stepsize= 1.000000 
-dualbound = 3757791.682941, lowerbound=1309932.682941, norm of subgrad 1145.033922	dualbound = 3757791.682941, lowerbound=1309932.682941, norm of subgrad 35.104549	 stepsize= 1.000000 
-dualbound = 3757839.800516, lowerbound=1309614.800516, norm of subgrad 1144.877199	dualbound = 3757839.800516, lowerbound=1309614.800516, norm of subgrad 34.309147	 stepsize= 1.000000 
-dualbound = 3757906.452314, lowerbound=1303759.452314, norm of subgrad 1142.360036	dualbound = 3757906.452314, lowerbound=1303759.452314, norm of subgrad 35.967371	 stepsize= 1.000000 
-dualbound = 3757958.416383, lowerbound=1310177.416383, norm of subgrad 1145.135982	dualbound = 3757958.416383, lowerbound=1310177.416383, norm of subgrad 34.798909	 stepsize= 1.000000 
-dualbound = 3758029.394044, lowerbound=1305197.394044, norm of subgrad 1142.979612	dualbound = 3758029.394044, lowerbound=1305197.394044, norm of subgrad 35.720830	 stepsize= 1.000000 
-dualbound = 3758068.712689, lowerbound=1305358.712689, norm of subgrad 1143.027870	dualbound = 3758068.712689, lowerbound=1305358.712689, norm of subgrad 34.544444	 stepsize= 1.000000 
-dualbound = 3758139.144596, lowerbound=1309706.144596, norm of subgrad 1144.967312	dualbound = 3758139.144596, lowerbound=1309706.144596, norm of subgrad 36.255095	 stepsize= 1.000000 
-dualbound = 3758163.925891, lowerbound=1309391.925891, norm of subgrad 1144.783790	dualbound = 3758163.925891, lowerbound=1309391.925891, norm of subgrad 34.099579	 stepsize= 1.000000 
-dualbound = 3758262.772277, lowerbound=1308435.772277, norm of subgrad 1144.372218	dualbound = 3758262.772277, lowerbound=1308435.772277, norm of subgrad 35.367307	 stepsize= 1.000000 
-dualbound = 3758300.174630, lowerbound=1303268.174630, norm of subgrad 1142.127040	dualbound = 3758300.174630, lowerbound=1303268.174630, norm of subgrad 34.977169	 stepsize= 1.000000 
-dualbound = 3758365.077392, lowerbound=1305933.077392, norm of subgrad 1143.300519	dualbound = 3758365.077392, lowerbound=1305933.077392, norm of subgrad 35.607622	 stepsize= 1.000000 
-dualbound = 3758430.954834, lowerbound=1306734.954834, norm of subgrad 1143.635849	dualbound = 3758430.954834, lowerbound=1306734.954834, norm of subgrad 35.126592	 stepsize= 1.000000 
-dualbound = 3758484.531149, lowerbound=1308757.531149, norm of subgrad 1144.550362	dualbound = 3758484.531149, lowerbound=1308757.531149, norm of subgrad 35.938507	 stepsize= 1.000000 
-dualbound = 3758536.507449, lowerbound=1310859.507449, norm of subgrad 1145.474796	dualbound = 3758536.507449, lowerbound=1310859.507449, norm of subgrad 36.124456	 stepsize= 1.000000 
-dualbound = 3758568.056269, lowerbound=1309807.056269, norm of subgrad 1145.042382	dualbound = 3758568.056269, lowerbound=1309807.056269, norm of subgrad 36.695351	 stepsize= 1.000000 
-dualbound = 3758650.196765, lowerbound=1305050.196765, norm of subgrad 1142.932718	dualbound = 3758650.196765, lowerbound=1305050.196765, norm of subgrad 36.429940	 stepsize= 1.000000 
-dualbound = 3758724.137631, lowerbound=1310407.137631, norm of subgrad 1145.249378	dualbound = 3758724.137631, lowerbound=1310407.137631, norm of subgrad 35.537879	 stepsize= 1.000000 
-dualbound = 3758788.707752, lowerbound=1305338.707752, norm of subgrad 1142.986311	dualbound = 3758788.707752, lowerbound=1305338.707752, norm of subgrad 33.816714	 stepsize= 1.000000 
-dualbound = 3758855.532062, lowerbound=1309757.532062, norm of subgrad 1144.944772	dualbound = 3758855.532062, lowerbound=1309757.532062, norm of subgrad 34.753767	 stepsize= 1.000000 
-dualbound = 3758884.311134, lowerbound=1304929.311134, norm of subgrad 1142.859708	dualbound = 3758884.311134, lowerbound=1304929.311134, norm of subgrad 35.039679	 stepsize= 1.000000 
-dualbound = 3758960.746310, lowerbound=1309079.746310, norm of subgrad 1144.640881	dualbound = 3758960.746310, lowerbound=1309079.746310, norm of subgrad 34.632863	 stepsize= 1.000000 
-dualbound = 3759011.430454, lowerbound=1308898.430454, norm of subgrad 1144.567355	dualbound = 3759011.430454, lowerbound=1308898.430454, norm of subgrad 34.448282	 stepsize= 1.000000 
-dualbound = 3759085.220831, lowerbound=1310205.220831, norm of subgrad 1145.129783	dualbound = 3759085.220831, lowerbound=1310205.220831, norm of subgrad 34.507831	 stepsize= 1.000000 
-dualbound = 3759124.856871, lowerbound=1301275.856871, norm of subgrad 1141.243995	dualbound = 3759124.856871, lowerbound=1301275.856871, norm of subgrad 34.664622	 stepsize= 1.000000 
-dualbound = 3759187.411907, lowerbound=1309958.411907, norm of subgrad 1145.080526	dualbound = 3759187.411907, lowerbound=1309958.411907, norm of subgrad 36.243000	 stepsize= 1.000000 
-dualbound = 3759251.787632, lowerbound=1309278.787632, norm of subgrad 1144.730006	dualbound = 3759251.787632, lowerbound=1309278.787632, norm of subgrad 34.530794	 stepsize= 1.000000 
-dualbound = 3759292.776985, lowerbound=1308834.776985, norm of subgrad 1144.545664	dualbound = 3759292.776985, lowerbound=1308834.776985, norm of subgrad 34.510714	 stepsize= 1.000000 
-dualbound = 3759368.291038, lowerbound=1313259.291038, norm of subgrad 1146.520079	dualbound = 3759368.291038, lowerbound=1313259.291038, norm of subgrad 36.393874	 stepsize= 1.000000 
-dualbound = 3759411.153689, lowerbound=1306046.153689, norm of subgrad 1143.343410	dualbound = 3759411.153689, lowerbound=1306046.153689, norm of subgrad 35.083652	 stepsize= 1.000000 
-dualbound = 3759503.045277, lowerbound=1302468.045277, norm of subgrad 1141.733351	dualbound = 3759503.045277, lowerbound=1302468.045277, norm of subgrad 34.334991	 stepsize= 1.000000 
-dualbound = 3759547.819738, lowerbound=1313534.819738, norm of subgrad 1146.576129	dualbound = 3759547.819738, lowerbound=1313534.819738, norm of subgrad 33.864059	 stepsize= 1.000000 
-dualbound = 3759603.579268, lowerbound=1309354.579268, norm of subgrad 1144.761363	dualbound = 3759603.579268, lowerbound=1309354.579268, norm of subgrad 34.347628	 stepsize= 1.000000 
-dualbound = 3759668.899347, lowerbound=1308642.899347, norm of subgrad 1144.455285	dualbound = 3759668.899347, lowerbound=1308642.899347, norm of subgrad 34.645636	 stepsize= 1.000000 
-dualbound = 3759729.515343, lowerbound=1306058.515343, norm of subgrad 1143.359749	dualbound = 3759729.515343, lowerbound=1306058.515343, norm of subgrad 35.687757	 stepsize= 1.000000 
-dualbound = 3759739.563926, lowerbound=1305248.563926, norm of subgrad 1143.005496	dualbound = 3759739.563926, lowerbound=1305248.563926, norm of subgrad 34.972112	 stepsize= 1.000000 
-dualbound = 3759836.508314, lowerbound=1306124.508314, norm of subgrad 1143.368929	dualbound = 3759836.508314, lowerbound=1306124.508314, norm of subgrad 35.566057	 stepsize= 1.000000 
-dualbound = 3759889.102087, lowerbound=1308322.102087, norm of subgrad 1144.300704	dualbound = 3759889.102087, lowerbound=1308322.102087, norm of subgrad 33.979314	 stepsize= 1.000000 
-dualbound = 3759965.673386, lowerbound=1302705.673386, norm of subgrad 1141.896087	dualbound = 3759965.673386, lowerbound=1302705.673386, norm of subgrad 36.021817	 stepsize= 1.000000 
-dualbound = 3759988.974834, lowerbound=1311338.974834, norm of subgrad 1145.678391	dualbound = 3759988.974834, lowerbound=1311338.974834, norm of subgrad 35.542952	 stepsize= 1.000000 
-dualbound = 3760051.879367, lowerbound=1303684.879367, norm of subgrad 1142.312514	dualbound = 3760051.879367, lowerbound=1303684.879367, norm of subgrad 35.438743	 stepsize= 1.000000 
-dualbound = 3760104.653366, lowerbound=1310159.653366, norm of subgrad 1145.175381	dualbound = 3760104.653366, lowerbound=1310159.653366, norm of subgrad 36.328694	 stepsize= 1.000000 
-dualbound = 3760149.505773, lowerbound=1307452.505773, norm of subgrad 1143.961322	dualbound = 3760149.505773, lowerbound=1307452.505773, norm of subgrad 35.211538	 stepsize= 1.000000 
-dualbound = 3760242.882457, lowerbound=1310831.882457, norm of subgrad 1145.412102	dualbound = 3760242.882457, lowerbound=1310831.882457, norm of subgrad 35.076726	 stepsize= 1.000000 
-dualbound = 3760302.758505, lowerbound=1305570.758505, norm of subgrad 1143.145992	dualbound = 3760302.758505, lowerbound=1305570.758505, norm of subgrad 35.663371	 stepsize= 1.000000 
-dualbound = 3760349.477729, lowerbound=1309044.477729, norm of subgrad 1144.659547	dualbound = 3760349.477729, lowerbound=1309044.477729, norm of subgrad 35.323069	 stepsize= 1.000000 
-dualbound = 3760404.704460, lowerbound=1309290.704460, norm of subgrad 1144.737832	dualbound = 3760404.704460, lowerbound=1309290.704460, norm of subgrad 34.485167	 stepsize= 1.000000 
-dualbound = 3760502.516261, lowerbound=1309247.516261, norm of subgrad 1144.708485	dualbound = 3760502.516261, lowerbound=1309247.516261, norm of subgrad 34.753587	 stepsize= 1.000000 
-dualbound = 3760535.617054, lowerbound=1306386.617054, norm of subgrad 1143.505408	dualbound = 3760535.617054, lowerbound=1306386.617054, norm of subgrad 35.370903	 stepsize= 1.000000 
-dualbound = 3760584.333970, lowerbound=1309149.333970, norm of subgrad 1144.711026	dualbound = 3760584.333970, lowerbound=1309149.333970, norm of subgrad 35.534728	 stepsize= 1.000000 
-dualbound = 3760656.336092, lowerbound=1309563.336092, norm of subgrad 1144.880053	dualbound = 3760656.336092, lowerbound=1309563.336092, norm of subgrad 35.482420	 stepsize= 1.000000 
-dualbound = 3760721.602926, lowerbound=1312350.602926, norm of subgrad 1146.094500	dualbound = 3760721.602926, lowerbound=1312350.602926, norm of subgrad 35.316665	 stepsize= 1.000000 
-dualbound = 3760787.062963, lowerbound=1308896.062963, norm of subgrad 1144.577242	dualbound = 3760787.062963, lowerbound=1308896.062963, norm of subgrad 35.020851	 stepsize= 1.000000 
-dualbound = 3760837.384865, lowerbound=1307185.384865, norm of subgrad 1143.838881	dualbound = 3760837.384865, lowerbound=1307185.384865, norm of subgrad 35.104443	 stepsize= 1.000000 
-dualbound = 3760905.077374, lowerbound=1304716.077374, norm of subgrad 1142.763351	dualbound = 3760905.077374, lowerbound=1304716.077374, norm of subgrad 35.492147	 stepsize= 1.000000 
-dualbound = 3760945.400137, lowerbound=1308201.400137, norm of subgrad 1144.289474	dualbound = 3760945.400137, lowerbound=1308201.400137, norm of subgrad 35.175599	 stepsize= 1.000000 
-dualbound = 3761011.730841, lowerbound=1307576.730841, norm of subgrad 1144.005127	dualbound = 3761011.730841, lowerbound=1307576.730841, norm of subgrad 35.175712	 stepsize= 1.000000 
-dualbound = 3761073.267148, lowerbound=1306461.267148, norm of subgrad 1143.536299	dualbound = 3761073.267148, lowerbound=1306461.267148, norm of subgrad 35.714651	 stepsize= 1.000000 
-dualbound = 3761131.307848, lowerbound=1305143.307848, norm of subgrad 1142.900393	dualbound = 3761131.307848, lowerbound=1305143.307848, norm of subgrad 33.705203	 stepsize= 1.000000 
-dualbound = 3761217.758722, lowerbound=1312796.758722, norm of subgrad 1146.250304	dualbound = 3761217.758722, lowerbound=1312796.758722, norm of subgrad 34.343134	 stepsize= 1.000000 
-dualbound = 3761259.408176, lowerbound=1306429.408176, norm of subgrad 1143.480393	dualbound = 3761259.408176, lowerbound=1306429.408176, norm of subgrad 34.053626	 stepsize= 1.000000 
-dualbound = 3761311.542732, lowerbound=1303472.542732, norm of subgrad 1142.211251	dualbound = 3761311.542732, lowerbound=1303472.542732, norm of subgrad 35.016204	 stepsize= 1.000000 
-dualbound = 3761369.425489, lowerbound=1308267.425489, norm of subgrad 1144.323567	dualbound = 3761369.425489, lowerbound=1308267.425489, norm of subgrad 35.593297	 stepsize= 1.000000 
-dualbound = 3761413.281443, lowerbound=1304439.281443, norm of subgrad 1142.644862	dualbound = 3761413.281443, lowerbound=1304439.281443, norm of subgrad 35.239977	 stepsize= 1.000000 
-dualbound = 3761479.355920, lowerbound=1309801.355920, norm of subgrad 1144.982688	dualbound = 3761479.355920, lowerbound=1309801.355920, norm of subgrad 35.356392	 stepsize= 1.000000 
-dualbound = 3761524.671515, lowerbound=1306823.671515, norm of subgrad 1143.675947	dualbound = 3761524.671515, lowerbound=1306823.671515, norm of subgrad 34.875716	 stepsize= 1.000000 
-dualbound = 3761607.005252, lowerbound=1305038.005252, norm of subgrad 1142.891073	dualbound = 3761607.005252, lowerbound=1305038.005252, norm of subgrad 35.275115	 stepsize= 1.000000 
-dualbound = 3761642.474819, lowerbound=1310986.474819, norm of subgrad 1145.499662	dualbound = 3761642.474819, lowerbound=1310986.474819, norm of subgrad 34.906583	 stepsize= 1.000000 
-dualbound = 3761723.630318, lowerbound=1305995.630318, norm of subgrad 1143.292014	dualbound = 3761723.630318, lowerbound=1305995.630318, norm of subgrad 34.672114	 stepsize= 1.000000 
-dualbound = 3761767.227018, lowerbound=1311924.227018, norm of subgrad 1145.922435	dualbound = 3761767.227018, lowerbound=1311924.227018, norm of subgrad 35.462610	 stepsize= 1.000000 
-dualbound = 3761822.811569, lowerbound=1311718.811569, norm of subgrad 1145.794402	dualbound = 3761822.811569, lowerbound=1311718.811569, norm of subgrad 34.374184	 stepsize= 1.000000 
-dualbound = 3761896.498494, lowerbound=1306347.498494, norm of subgrad 1143.461192	dualbound = 3761896.498494, lowerbound=1306347.498494, norm of subgrad 35.066892	 stepsize= 1.000000 
-dualbound = 3761966.103854, lowerbound=1305453.103854, norm of subgrad 1143.045101	dualbound = 3761966.103854, lowerbound=1305453.103854, norm of subgrad 34.184870	 stepsize= 1.000000 
-dualbound = 3762041.040916, lowerbound=1308045.040916, norm of subgrad 1144.186192	dualbound = 3762041.040916, lowerbound=1308045.040916, norm of subgrad 34.524442	 stepsize= 1.000000 
-dualbound = 3762078.775212, lowerbound=1305784.775212, norm of subgrad 1143.212043	dualbound = 3762078.775212, lowerbound=1305784.775212, norm of subgrad 34.449010	 stepsize= 1.000000 
-dualbound = 3762142.826268, lowerbound=1310437.826268, norm of subgrad 1145.255791	dualbound = 3762142.826268, lowerbound=1310437.826268, norm of subgrad 35.171737	 stepsize= 1.000000 
-dualbound = 3762189.572329, lowerbound=1303821.572329, norm of subgrad 1142.361402	dualbound = 3762189.572329, lowerbound=1303821.572329, norm of subgrad 34.853207	 stepsize= 1.000000 
-dualbound = 3762256.060903, lowerbound=1312203.060903, norm of subgrad 1146.020532	dualbound = 3762256.060903, lowerbound=1312203.060903, norm of subgrad 35.021259	 stepsize= 1.000000 
-dualbound = 3762306.602561, lowerbound=1307191.602561, norm of subgrad 1143.851652	dualbound = 3762306.602561, lowerbound=1307191.602561, norm of subgrad 35.433623	 stepsize= 1.000000 
-dualbound = 3762349.873526, lowerbound=1307676.873526, norm of subgrad 1144.049769	dualbound = 3762349.873526, lowerbound=1307676.873526, norm of subgrad 34.875077	 stepsize= 1.000000 
-dualbound = 3762420.362034, lowerbound=1308546.362034, norm of subgrad 1144.438011	dualbound = 3762420.362034, lowerbound=1308546.362034, norm of subgrad 35.531514	 stepsize= 1.000000 
-dualbound = 3762459.350175, lowerbound=1303103.350175, norm of subgrad 1142.052692	dualbound = 3762459.350175, lowerbound=1303103.350175, norm of subgrad 34.928329	 stepsize= 1.000000 
-dualbound = 3762534.186340, lowerbound=1305207.186340, norm of subgrad 1142.988708	dualbound = 3762534.186340, lowerbound=1305207.186340, norm of subgrad 35.928208	 stepsize= 1.000000 
-dualbound = 3762587.979378, lowerbound=1302602.979378, norm of subgrad 1141.840172	dualbound = 3762587.979378, lowerbound=1302602.979378, norm of subgrad 35.352412	 stepsize= 1.000000 
-dualbound = 3762651.117123, lowerbound=1311917.117123, norm of subgrad 1145.889226	dualbound = 3762651.117123, lowerbound=1311917.117123, norm of subgrad 34.758276	 stepsize= 1.000000 
-dualbound = 3762701.351205, lowerbound=1308519.351205, norm of subgrad 1144.425337	dualbound = 3762701.351205, lowerbound=1308519.351205, norm of subgrad 35.216957	 stepsize= 1.000000 
-dualbound = 3762767.163815, lowerbound=1312355.163815, norm of subgrad 1146.077730	dualbound = 3762767.163815, lowerbound=1312355.163815, norm of subgrad 34.710411	 stepsize= 1.000000 
-dualbound = 3762838.625595, lowerbound=1307795.625595, norm of subgrad 1144.085935	dualbound = 3762838.625595, lowerbound=1307795.625595, norm of subgrad 34.762937	 stepsize= 1.000000 
-dualbound = 3762898.449611, lowerbound=1311057.449611, norm of subgrad 1145.527586	dualbound = 3762898.449611, lowerbound=1311057.449611, norm of subgrad 35.154289	 stepsize= 1.000000 
-dualbound = 3762932.272401, lowerbound=1310671.272401, norm of subgrad 1145.354649	dualbound = 3762932.272401, lowerbound=1310671.272401, norm of subgrad 34.638458	 stepsize= 1.000000 
-dualbound = 3762993.300033, lowerbound=1306368.300033, norm of subgrad 1143.486030	dualbound = 3762993.300033, lowerbound=1306368.300033, norm of subgrad 35.398130	 stepsize= 1.000000 
-dualbound = 3763050.488439, lowerbound=1302551.488439, norm of subgrad 1141.838206	dualbound = 3763050.488439, lowerbound=1302551.488439, norm of subgrad 36.058125	 stepsize= 1.000000 
-dualbound = 3763100.663246, lowerbound=1310754.663246, norm of subgrad 1145.398474	dualbound = 3763100.663246, lowerbound=1310754.663246, norm of subgrad 35.116589	 stepsize= 1.000000 
-dualbound = 3763167.480248, lowerbound=1311560.480248, norm of subgrad 1145.741018	dualbound = 3763167.480248, lowerbound=1311560.480248, norm of subgrad 35.054486	 stepsize= 1.000000 
-dualbound = 3763243.680280, lowerbound=1306898.680280, norm of subgrad 1143.708739	dualbound = 3763243.680280, lowerbound=1306898.680280, norm of subgrad 35.315719	 stepsize= 1.000000 
-dualbound = 3763275.266770, lowerbound=1310804.266770, norm of subgrad 1145.448500	dualbound = 3763275.266770, lowerbound=1310804.266770, norm of subgrad 35.771308	 stepsize= 1.000000 
-dualbound = 3763339.359796, lowerbound=1311193.359796, norm of subgrad 1145.600000	dualbound = 3763339.359796, lowerbound=1311193.359796, norm of subgrad 35.638365	 stepsize= 1.000000 
-dualbound = 3763389.618131, lowerbound=1306874.618131, norm of subgrad 1143.661496	dualbound = 3763389.618131, lowerbound=1306874.618131, norm of subgrad 33.723261	 stepsize= 1.000000 
-dualbound = 3763480.633157, lowerbound=1312359.633157, norm of subgrad 1146.074881	dualbound = 3763480.633157, lowerbound=1312359.633157, norm of subgrad 34.914396	 stepsize= 1.000000 
-dualbound = 3763523.538681, lowerbound=1304269.538681, norm of subgrad 1142.550016	dualbound = 3763523.538681, lowerbound=1304269.538681, norm of subgrad 34.552938	 stepsize= 1.000000 
-dualbound = 3763582.541413, lowerbound=1312304.541413, norm of subgrad 1146.101017	dualbound = 3763582.541413, lowerbound=1312304.541413, norm of subgrad 36.083275	 stepsize= 1.000000 
-dualbound = 3763614.887618, lowerbound=1301993.887618, norm of subgrad 1141.572112	dualbound = 3763614.887618, lowerbound=1301993.887618, norm of subgrad 35.004945	 stepsize= 1.000000 
-dualbound = 3763693.963456, lowerbound=1306799.963456, norm of subgrad 1143.652029	dualbound = 3763693.963456, lowerbound=1306799.963456, norm of subgrad 34.915267	 stepsize= 1.000000 
-dualbound = 3763764.205825, lowerbound=1302330.205825, norm of subgrad 1141.710211	dualbound = 3763764.205825, lowerbound=1302330.205825, norm of subgrad 35.245459	 stepsize= 1.000000 
-dualbound = 3763812.594396, lowerbound=1311548.594396, norm of subgrad 1145.740195	dualbound = 3763812.594396, lowerbound=1311548.594396, norm of subgrad 34.934060	 stepsize= 1.000000 
-dualbound = 3763876.380022, lowerbound=1309093.380022, norm of subgrad 1144.645963	dualbound = 3763876.380022, lowerbound=1309093.380022, norm of subgrad 34.420715	 stepsize= 1.000000 
-dualbound = 3763954.064905, lowerbound=1310698.064905, norm of subgrad 1145.363726	dualbound = 3763954.064905, lowerbound=1310698.064905, norm of subgrad 35.180746	 stepsize= 1.000000 
-dualbound = 3763980.645079, lowerbound=1303005.645079, norm of subgrad 1142.010352	dualbound = 3763980.645079, lowerbound=1303005.645079, norm of subgrad 34.764640	 stepsize= 1.000000 
-dualbound = 3764062.156501, lowerbound=1305907.156501, norm of subgrad 1143.258132	dualbound = 3764062.156501, lowerbound=1305907.156501, norm of subgrad 34.835491	 stepsize= 1.000000 
-dualbound = 3764111.492034, lowerbound=1306051.492034, norm of subgrad 1143.319506	dualbound = 3764111.492034, lowerbound=1306051.492034, norm of subgrad 34.312323	 stepsize= 1.000000 
-dualbound = 3764197.503445, lowerbound=1310819.503445, norm of subgrad 1145.395348	dualbound = 3764197.503445, lowerbound=1310819.503445, norm of subgrad 34.597853	 stepsize= 1.000000 
-dualbound = 3764231.255185, lowerbound=1312024.255185, norm of subgrad 1145.949499	dualbound = 3764231.255185, lowerbound=1312024.255185, norm of subgrad 34.781486	 stepsize= 1.000000 
-dualbound = 3764308.742136, lowerbound=1312089.742136, norm of subgrad 1145.964547	dualbound = 3764308.742136, lowerbound=1312089.742136, norm of subgrad 34.964081	 stepsize= 1.000000 
-dualbound = 3764339.938127, lowerbound=1306383.938127, norm of subgrad 1143.477563	dualbound = 3764339.938127, lowerbound=1306383.938127, norm of subgrad 34.470219	 stepsize= 1.000000 
-dualbound = 3764424.959514, lowerbound=1311056.959514, norm of subgrad 1145.529554	dualbound = 3764424.959514, lowerbound=1311056.959514, norm of subgrad 35.581194	 stepsize= 1.000000 
-dualbound = 3764444.380145, lowerbound=1305591.380145, norm of subgrad 1143.129643	dualbound = 3764444.380145, lowerbound=1305591.380145, norm of subgrad 34.255228	 stepsize= 1.000000 
-dualbound = 3764548.398556, lowerbound=1311882.398556, norm of subgrad 1145.853568	dualbound = 3764548.398556, lowerbound=1311882.398556, norm of subgrad 34.670137	 stepsize= 1.000000 
-dualbound = 3764564.963083, lowerbound=1308283.963083, norm of subgrad 1144.343901	dualbound = 3764564.963083, lowerbound=1308283.963083, norm of subgrad 35.433946	 stepsize= 1.000000 
-dualbound = 3764636.029300, lowerbound=1303181.029300, norm of subgrad 1142.099833	dualbound = 3764636.029300, lowerbound=1303181.029300, norm of subgrad 35.805952	 stepsize= 1.000000 
-dualbound = 3764683.312748, lowerbound=1317669.312748, norm of subgrad 1148.414695	dualbound = 3764683.312748, lowerbound=1317669.312748, norm of subgrad 35.132370	 stepsize= 1.000000 
-dualbound = 3764761.734428, lowerbound=1307291.734428, norm of subgrad 1143.921647	dualbound = 3764761.734428, lowerbound=1307291.734428, norm of subgrad 36.652717	 stepsize= 1.000000 
-dualbound = 3764752.026561, lowerbound=1306103.026561, norm of subgrad 1143.394957	dualbound = 3764752.026561, lowerbound=1306103.026561, norm of subgrad 35.203581	 stepsize= 1.000000 
-dualbound = 3764855.123690, lowerbound=1308940.123690, norm of subgrad 1144.616147	dualbound = 3764855.123690, lowerbound=1308940.123690, norm of subgrad 36.181447	 stepsize= 1.000000 
-dualbound = 3764915.522379, lowerbound=1308818.522379, norm of subgrad 1144.542495	dualbound = 3764915.522379, lowerbound=1308818.522379, norm of subgrad 34.919890	 stepsize= 1.000000 
-dualbound = 3764993.349272, lowerbound=1307325.349272, norm of subgrad 1143.905306	dualbound = 3764993.349272, lowerbound=1307325.349272, norm of subgrad 35.662682	 stepsize= 1.000000 
-dualbound = 3765044.634608, lowerbound=1312142.634608, norm of subgrad 1145.992860	dualbound = 3765044.634608, lowerbound=1312142.634608, norm of subgrad 34.760399	 stepsize= 1.000000 
-dualbound = 3765122.243784, lowerbound=1310273.243784, norm of subgrad 1145.166907	dualbound = 3765122.243784, lowerbound=1310273.243784, norm of subgrad 34.808177	 stepsize= 1.000000 
-dualbound = 3765150.685220, lowerbound=1304564.685220, norm of subgrad 1142.701048	dualbound = 3765150.685220, lowerbound=1304564.685220, norm of subgrad 35.063392	 stepsize= 1.000000 
-dualbound = 3765214.028483, lowerbound=1307647.028483, norm of subgrad 1144.041096	dualbound = 3765214.028483, lowerbound=1307647.028483, norm of subgrad 35.303587	 stepsize= 1.000000 
-dualbound = 3765242.881654, lowerbound=1312850.881654, norm of subgrad 1146.321893	dualbound = 3765242.881654, lowerbound=1312850.881654, norm of subgrad 35.097766	 stepsize= 1.000000 
-dualbound = 3765337.030410, lowerbound=1305940.030410, norm of subgrad 1143.300061	dualbound = 3765337.030410, lowerbound=1305940.030410, norm of subgrad 35.904718	 stepsize= 1.000000 
-dualbound = 3765355.111993, lowerbound=1310052.111993, norm of subgrad 1145.101354	dualbound = 3765355.111993, lowerbound=1310052.111993, norm of subgrad 34.972583	 stepsize= 1.000000 
-dualbound = 3765470.516516, lowerbound=1307778.516516, norm of subgrad 1144.038250	dualbound = 3765470.516516, lowerbound=1307778.516516, norm of subgrad 34.064711	 stepsize= 1.000000 
-dualbound = 3765527.123676, lowerbound=1309378.123676, norm of subgrad 1144.751119	dualbound = 3765527.123676, lowerbound=1309378.123676, norm of subgrad 33.669083	 stepsize= 1.000000 
-dualbound = 3765589.560858, lowerbound=1303021.560858, norm of subgrad 1141.986673	dualbound = 3765589.560858, lowerbound=1303021.560858, norm of subgrad 34.270062	 stepsize= 1.000000 
-dualbound = 3765621.547700, lowerbound=1312078.547700, norm of subgrad 1145.952245	dualbound = 3765621.547700, lowerbound=1312078.547700, norm of subgrad 34.058580	 stepsize= 1.000000 
-dualbound = 3765692.988086, lowerbound=1306070.988086, norm of subgrad 1143.334591	dualbound = 3765692.988086, lowerbound=1306070.988086, norm of subgrad 34.848822	 stepsize= 1.000000 
-dualbound = 3765718.786433, lowerbound=1308890.786433, norm of subgrad 1144.594595	dualbound = 3765718.786433, lowerbound=1308890.786433, norm of subgrad 35.096985	 stepsize= 1.000000 
-dualbound = 3765788.066670, lowerbound=1308186.066670, norm of subgrad 1144.287580	dualbound = 3765788.066670, lowerbound=1308186.066670, norm of subgrad 35.739058	 stepsize= 1.000000 
-dualbound = 3765813.152311, lowerbound=1304557.152311, norm of subgrad 1142.733631	dualbound = 3765813.152311, lowerbound=1304557.152311, norm of subgrad 36.167467	 stepsize= 1.000000 
-dualbound = 3765891.623358, lowerbound=1311286.623358, norm of subgrad 1145.628484	dualbound = 3765891.623358, lowerbound=1311286.623358, norm of subgrad 35.446735	 stepsize= 1.000000 
-dualbound = 3765975.385582, lowerbound=1310833.385582, norm of subgrad 1145.435893	dualbound = 3765975.385582, lowerbound=1310833.385582, norm of subgrad 35.689806	 stepsize= 1.000000 
-dualbound = 3766034.391152, lowerbound=1305129.391152, norm of subgrad 1142.947676	dualbound = 3766034.391152, lowerbound=1305129.391152, norm of subgrad 35.482468	 stepsize= 1.000000 
-dualbound = 3766074.011011, lowerbound=1308381.011011, norm of subgrad 1144.387614	dualbound = 3766074.011011, lowerbound=1308381.011011, norm of subgrad 35.799719	 stepsize= 1.000000 
-dualbound = 3766143.139648, lowerbound=1305230.139648, norm of subgrad 1142.996124	dualbound = 3766143.139648, lowerbound=1305230.139648, norm of subgrad 35.764908	 stepsize= 1.000000 
-dualbound = 3766177.841886, lowerbound=1309172.841886, norm of subgrad 1144.727846	dualbound = 3766177.841886, lowerbound=1309172.841886, norm of subgrad 35.548590	 stepsize= 1.000000 
-dualbound = 3766233.344075, lowerbound=1312910.344075, norm of subgrad 1146.360041	dualbound = 3766233.344075, lowerbound=1312910.344075, norm of subgrad 35.867843	 stepsize= 1.000000 
-dualbound = 3766304.297581, lowerbound=1305449.297581, norm of subgrad 1143.100738	dualbound = 3766304.297581, lowerbound=1305449.297581, norm of subgrad 36.068733	 stepsize= 1.000000 
-dualbound = 3766375.532521, lowerbound=1311341.532521, norm of subgrad 1145.655940	dualbound = 3766375.532521, lowerbound=1311341.532521, norm of subgrad 35.457509	 stepsize= 1.000000 
-dualbound = 3766434.293929, lowerbound=1306268.293929, norm of subgrad 1143.412128	dualbound = 3766434.293929, lowerbound=1306268.293929, norm of subgrad 34.376757	 stepsize= 1.000000 
-dualbound = 3766487.905332, lowerbound=1305223.905332, norm of subgrad 1142.994272	dualbound = 3766487.905332, lowerbound=1305223.905332, norm of subgrad 35.575433	 stepsize= 1.000000 
-dualbound = 3766543.491966, lowerbound=1308695.491966, norm of subgrad 1144.506222	dualbound = 3766543.491966, lowerbound=1308695.491966, norm of subgrad 35.420144	 stepsize= 1.000000 
-dualbound = 3766585.451854, lowerbound=1310832.451854, norm of subgrad 1145.415842	dualbound = 3766585.451854, lowerbound=1310832.451854, norm of subgrad 34.452284	 stepsize= 1.000000 
-dualbound = 3766678.635360, lowerbound=1310117.635360, norm of subgrad 1145.122542	dualbound = 3766678.635360, lowerbound=1310117.635360, norm of subgrad 35.793624	 stepsize= 1.000000 
-dualbound = 3766723.664301, lowerbound=1305069.664301, norm of subgrad 1142.913236	dualbound = 3766723.664301, lowerbound=1305069.664301, norm of subgrad 35.014696	 stepsize= 1.000000 
-dualbound = 3766774.670428, lowerbound=1311443.670428, norm of subgrad 1145.694405	dualbound = 3766774.670428, lowerbound=1311443.670428, norm of subgrad 34.971505	 stepsize= 1.000000 
-dualbound = 3766843.394129, lowerbound=1306063.394129, norm of subgrad 1143.339580	dualbound = 3766843.394129, lowerbound=1306063.394129, norm of subgrad 35.081672	 stepsize= 1.000000 
-dualbound = 3766891.661040, lowerbound=1311185.661040, norm of subgrad 1145.590966	dualbound = 3766891.661040, lowerbound=1311185.661040, norm of subgrad 35.231618	 stepsize= 1.000000 
-dualbound = 3766957.601762, lowerbound=1304842.601763, norm of subgrad 1142.822209	dualbound = 3766957.601762, lowerbound=1304842.601763, norm of subgrad 35.580061	 stepsize= 1.000000 
-dualbound = 3767014.762338, lowerbound=1311135.762338, norm of subgrad 1145.547800	dualbound = 3767014.762338, lowerbound=1311135.762338, norm of subgrad 34.657764	 stepsize= 1.000000 
-dualbound = 3767072.624652, lowerbound=1304633.624652, norm of subgrad 1142.715898	dualbound = 3767072.624652, lowerbound=1304633.624652, norm of subgrad 34.983744	 stepsize= 1.000000 
-dualbound = 3767150.831627, lowerbound=1312336.831627, norm of subgrad 1146.074095	dualbound = 3767150.831627, lowerbound=1312336.831627, norm of subgrad 35.031514	 stepsize= 1.000000 
-dualbound = 3767173.323452, lowerbound=1306620.323452, norm of subgrad 1143.574800	dualbound = 3767173.323452, lowerbound=1306620.323452, norm of subgrad 34.139300	 stepsize= 1.000000 
-dualbound = 3767248.971807, lowerbound=1307459.971807, norm of subgrad 1143.944042	dualbound = 3767248.971807, lowerbound=1307459.971807, norm of subgrad 34.980685	 stepsize= 1.000000 
-dualbound = 3767306.634387, lowerbound=1302171.634387, norm of subgrad 1141.662662	dualbound = 3767306.634387, lowerbound=1302171.634387, norm of subgrad 35.772372	 stepsize= 1.000000 
-dualbound = 3767350.845899, lowerbound=1309613.845899, norm of subgrad 1144.900365	dualbound = 3767350.845899, lowerbound=1309613.845899, norm of subgrad 35.031579	 stepsize= 1.000000 
-dualbound = 3767419.432467, lowerbound=1311643.432467, norm of subgrad 1145.814310	dualbound = 3767419.432467, lowerbound=1311643.432467, norm of subgrad 36.271016	 stepsize= 1.000000 
-dualbound = 3767501.662407, lowerbound=1311220.662407, norm of subgrad 1145.592276	dualbound = 3767501.662407, lowerbound=1311220.662407, norm of subgrad 35.259466	 stepsize= 1.000000 
-dualbound = 3767537.445072, lowerbound=1309234.445072, norm of subgrad 1144.732041	dualbound = 3767537.445072, lowerbound=1309234.445072, norm of subgrad 34.825029	 stepsize= 1.000000 
-dualbound = 3767621.349116, lowerbound=1304174.349116, norm of subgrad 1142.512735	dualbound = 3767621.349116, lowerbound=1304174.349116, norm of subgrad 35.283198	 stepsize= 1.000000 
-dualbound = 3767645.521349, lowerbound=1311712.521349, norm of subgrad 1145.818712	dualbound = 3767645.521349, lowerbound=1311712.521349, norm of subgrad 34.816264	 stepsize= 1.000000 
-dualbound = 3767738.106737, lowerbound=1308380.106737, norm of subgrad 1144.360130	dualbound = 3767738.106737, lowerbound=1308380.106737, norm of subgrad 35.673315	 stepsize= 1.000000 
-dualbound = 3767760.715443, lowerbound=1305539.715443, norm of subgrad 1143.103983	dualbound = 3767760.715443, lowerbound=1305539.715443, norm of subgrad 34.199542	 stepsize= 1.000000 
-dualbound = 3767865.954018, lowerbound=1307749.954018, norm of subgrad 1144.038878	dualbound = 3767865.954018, lowerbound=1307749.954018, norm of subgrad 34.354600	 stepsize= 1.000000 
-dualbound = 3767912.793922, lowerbound=1313226.793922, norm of subgrad 1146.474943	dualbound = 3767912.793922, lowerbound=1313226.793922, norm of subgrad 34.997713	 stepsize= 1.000000 
-dualbound = 3767959.577905, lowerbound=1311696.577905, norm of subgrad 1145.793427	dualbound = 3767959.577905, lowerbound=1311696.577905, norm of subgrad 34.536705	 stepsize= 1.000000 
-dualbound = 3768026.985324, lowerbound=1306917.985324, norm of subgrad 1143.682205	dualbound = 3768026.985324, lowerbound=1306917.985324, norm of subgrad 34.035385	 stepsize= 1.000000 
-dualbound = 3768106.105290, lowerbound=1308685.105290, norm of subgrad 1144.442268	dualbound = 3768106.105290, lowerbound=1308685.105290, norm of subgrad 33.795265	 stepsize= 1.000000 
-dualbound = 3768139.543169, lowerbound=1307180.543169, norm of subgrad 1143.824525	dualbound = 3768139.543169, lowerbound=1307180.543169, norm of subgrad 34.459221	 stepsize= 1.000000 
-dualbound = 3768208.769210, lowerbound=1314769.769210, norm of subgrad 1147.138514	dualbound = 3768208.769210, lowerbound=1314769.769210, norm of subgrad 35.017510	 stepsize= 1.000000 
-dualbound = 3768245.093470, lowerbound=1303751.093470, norm of subgrad 1142.310857	dualbound = 3768245.093470, lowerbound=1303751.093470, norm of subgrad 34.048851	 stepsize= 1.000000 
-dualbound = 3768293.874744, lowerbound=1307529.874744, norm of subgrad 1143.971536	dualbound = 3768293.874744, lowerbound=1307529.874744, norm of subgrad 34.493206	 stepsize= 1.000000 
-dualbound = 3768378.896362, lowerbound=1309617.896362, norm of subgrad 1144.896457	dualbound = 3768378.896362, lowerbound=1309617.896362, norm of subgrad 35.426284	 stepsize= 1.000000 
-dualbound = 3768429.294258, lowerbound=1308093.294258, norm of subgrad 1144.222572	dualbound = 3768429.294258, lowerbound=1308093.294258, norm of subgrad 34.675610	 stepsize= 1.000000 
-dualbound = 3768484.681673, lowerbound=1311318.681673, norm of subgrad 1145.627200	dualbound = 3768484.681673, lowerbound=1311318.681673, norm of subgrad 34.617733	 stepsize= 1.000000 
-dualbound = 3768556.805518, lowerbound=1312829.805518, norm of subgrad 1146.267772	dualbound = 3768556.805518, lowerbound=1312829.805518, norm of subgrad 34.236294	 stepsize= 1.000000 
-dualbound = 3768626.300740, lowerbound=1312692.300740, norm of subgrad 1146.202993	dualbound = 3768626.300740, lowerbound=1312692.300740, norm of subgrad 34.036675	 stepsize= 1.000000 
-dualbound = 3768669.475190, lowerbound=1307220.475190, norm of subgrad 1143.858153	dualbound = 3768669.475190, lowerbound=1307220.475190, norm of subgrad 35.130819	 stepsize= 1.000000 
-dualbound = 3768724.601587, lowerbound=1308318.601587, norm of subgrad 1144.317963	dualbound = 3768724.601587, lowerbound=1308318.601587, norm of subgrad 34.642840	 stepsize= 1.000000 
-dualbound = 3768771.256978, lowerbound=1314612.256978, norm of subgrad 1147.073780	dualbound = 3768771.256978, lowerbound=1314612.256978, norm of subgrad 34.823202	 stepsize= 1.000000 
-dualbound = 3768842.942978, lowerbound=1303863.942978, norm of subgrad 1142.391764	dualbound = 3768842.942978, lowerbound=1303863.942978, norm of subgrad 35.590532	 stepsize= 1.000000 
-dualbound = 3768860.101860, lowerbound=1317165.101860, norm of subgrad 1148.206907	dualbound = 3768860.101860, lowerbound=1317165.101860, norm of subgrad 35.087874	 stepsize= 1.000000 
-dualbound = 3768929.424741, lowerbound=1304236.424741, norm of subgrad 1142.554342	dualbound = 3768929.424741, lowerbound=1304236.424741, norm of subgrad 35.543254	 stepsize= 1.000000 
-dualbound = 3769004.429057, lowerbound=1312132.429057, norm of subgrad 1145.977936	dualbound = 3769004.429057, lowerbound=1312132.429057, norm of subgrad 34.756356	 stepsize= 1.000000 
-dualbound = 3769065.998909, lowerbound=1306709.998909, norm of subgrad 1143.633245	dualbound = 3769065.998909, lowerbound=1306709.998909, norm of subgrad 35.335108	 stepsize= 1.000000 
-dualbound = 3769093.064965, lowerbound=1311260.064965, norm of subgrad 1145.631295	dualbound = 3769093.064965, lowerbound=1311260.064965, norm of subgrad 35.186163	 stepsize= 1.000000 
-dualbound = 3769170.140093, lowerbound=1305964.140093, norm of subgrad 1143.296611	dualbound = 3769170.140093, lowerbound=1305964.140093, norm of subgrad 35.214700	 stepsize= 1.000000 
-dualbound = 3769209.413515, lowerbound=1307724.413515, norm of subgrad 1144.071420	dualbound = 3769209.413515, lowerbound=1307724.413515, norm of subgrad 34.846426	 stepsize= 1.000000 
-dualbound = 3769287.947497, lowerbound=1309889.947497, norm of subgrad 1144.997357	dualbound = 3769287.947497, lowerbound=1309889.947497, norm of subgrad 34.749590	 stepsize= 1.000000 
-dualbound = 3769342.360227, lowerbound=1308792.360227, norm of subgrad 1144.528008	dualbound = 3769342.360227, lowerbound=1308792.360227, norm of subgrad 34.733453	 stepsize= 1.000000 
-dualbound = 3769420.767575, lowerbound=1307590.767575, norm of subgrad 1143.978482	dualbound = 3769420.767575, lowerbound=1307590.767575, norm of subgrad 34.269627	 stepsize= 1.000000 
-dualbound = 3769462.159379, lowerbound=1310718.159379, norm of subgrad 1145.355036	dualbound = 3769462.159379, lowerbound=1310718.159379, norm of subgrad 34.079199	 stepsize= 1.000000 
-dualbound = 3769542.011906, lowerbound=1303694.011906, norm of subgrad 1142.293750	dualbound = 3769542.011906, lowerbound=1303694.011906, norm of subgrad 34.940700	 stepsize= 1.000000 
-dualbound = 3769563.568398, lowerbound=1315193.568398, norm of subgrad 1147.300557	dualbound = 3769563.568398, lowerbound=1315193.568398, norm of subgrad 33.564214	 stepsize= 1.000000 
-dualbound = 3769644.174472, lowerbound=1305228.174472, norm of subgrad 1142.968142	dualbound = 3769644.174472, lowerbound=1305228.174472, norm of subgrad 35.051477	 stepsize= 1.000000 
-dualbound = 3769695.085331, lowerbound=1311884.085331, norm of subgrad 1145.869576	dualbound = 3769695.085331, lowerbound=1311884.085331, norm of subgrad 34.408006	 stepsize= 1.000000 
-dualbound = 3769745.093087, lowerbound=1307267.093087, norm of subgrad 1143.885524	dualbound = 3769745.093087, lowerbound=1307267.093087, norm of subgrad 35.454305	 stepsize= 1.000000 
-dualbound = 3769772.406578, lowerbound=1309456.406578, norm of subgrad 1144.839031	dualbound = 3769772.406578, lowerbound=1309456.406578, norm of subgrad 35.033034	 stepsize= 1.000000 
-dualbound = 3769861.219383, lowerbound=1306377.219383, norm of subgrad 1143.475063	dualbound = 3769861.219383, lowerbound=1306377.219383, norm of subgrad 35.310237	 stepsize= 1.000000 
-dualbound = 3769918.309656, lowerbound=1312522.309656, norm of subgrad 1146.168971	dualbound = 3769918.309656, lowerbound=1312522.309656, norm of subgrad 35.186507	 stepsize= 1.000000 
-dualbound = 3769994.530690, lowerbound=1310638.530690, norm of subgrad 1145.336427	dualbound = 3769994.530690, lowerbound=1310638.530690, norm of subgrad 35.117247	 stepsize= 1.000000 
-dualbound = 3770041.472704, lowerbound=1309947.472704, norm of subgrad 1145.041254	dualbound = 3770041.472704, lowerbound=1309947.472704, norm of subgrad 34.913350	 stepsize= 1.000000 
-dualbound = 3770099.865066, lowerbound=1310474.865066, norm of subgrad 1145.272834	dualbound = 3770099.865066, lowerbound=1310474.865066, norm of subgrad 35.119686	 stepsize= 1.000000 
-dualbound = 3770163.480229, lowerbound=1309116.480229, norm of subgrad 1144.682698	dualbound = 3770163.480229, lowerbound=1309116.480229, norm of subgrad 35.293274	 stepsize= 1.000000 
-dualbound = 3770211.794175, lowerbound=1311604.794175, norm of subgrad 1145.777812	dualbound = 3770211.794175, lowerbound=1311604.794175, norm of subgrad 35.359779	 stepsize= 1.000000 
-dualbound = 3770279.678111, lowerbound=1304169.678111, norm of subgrad 1142.511566	dualbound = 3770279.678111, lowerbound=1304169.678111, norm of subgrad 35.083956	 stepsize= 1.000000 
-dualbound = 3770329.504622, lowerbound=1308457.504622, norm of subgrad 1144.394383	dualbound = 3770329.504622, lowerbound=1308457.504622, norm of subgrad 35.083137	 stepsize= 1.000000 
-dualbound = 3770384.372983, lowerbound=1308395.372983, norm of subgrad 1144.371606	dualbound = 3770384.372983, lowerbound=1308395.372983, norm of subgrad 35.296861	 stepsize= 1.000000 
-dualbound = 3770442.046256, lowerbound=1306172.046256, norm of subgrad 1143.387968	dualbound = 3770442.046256, lowerbound=1306172.046256, norm of subgrad 34.952443	 stepsize= 1.000000 
-dualbound = 3770493.131820, lowerbound=1311513.131820, norm of subgrad 1145.733011	dualbound = 3770493.131820, lowerbound=1311513.131820, norm of subgrad 35.243234	 stepsize= 1.000000 
-dualbound = 3770564.609523, lowerbound=1308836.609523, norm of subgrad 1144.574423	dualbound = 3770564.609523, lowerbound=1308836.609523, norm of subgrad 35.853559	 stepsize= 1.000000 
-dualbound = 3770608.179735, lowerbound=1310424.179735, norm of subgrad 1145.229750	dualbound = 3770608.179735, lowerbound=1310424.179735, norm of subgrad 34.213597	 stepsize= 1.000000 
-dualbound = 3770699.005063, lowerbound=1307229.005063, norm of subgrad 1143.833469	dualbound = 3770699.005063, lowerbound=1307229.005063, norm of subgrad 34.883023	 stepsize= 1.000000 
-dualbound = 3770733.773911, lowerbound=1312071.773911, norm of subgrad 1145.961070	dualbound = 3770733.773911, lowerbound=1312071.773911, norm of subgrad 34.493026	 stepsize= 1.000000 
-dualbound = 3770792.028421, lowerbound=1305434.028421, norm of subgrad 1143.075251	dualbound = 3770792.028421, lowerbound=1305434.028421, norm of subgrad 35.288164	 stepsize= 1.000000 
-dualbound = 3770835.868676, lowerbound=1313638.868676, norm of subgrad 1146.628915	dualbound = 3770835.868676, lowerbound=1313638.868676, norm of subgrad 34.100444	 stepsize= 1.000000 
-dualbound = 3770916.760601, lowerbound=1303766.760601, norm of subgrad 1142.304583	dualbound = 3770916.760601, lowerbound=1303766.760601, norm of subgrad 34.262106	 stepsize= 1.000000 
-dualbound = 3770930.551051, lowerbound=1313274.551051, norm of subgrad 1146.500131	dualbound = 3770930.551051, lowerbound=1313274.551051, norm of subgrad 34.666849	 stepsize= 1.000000 
-dualbound = 3771005.204923, lowerbound=1304285.204923, norm of subgrad 1142.574814	dualbound = 3771005.204923, lowerbound=1304285.204923, norm of subgrad 35.590081	 stepsize= 1.000000 
-dualbound = 3771075.685205, lowerbound=1311880.685205, norm of subgrad 1145.874201	dualbound = 3771075.685205, lowerbound=1311880.685205, norm of subgrad 34.892410	 stepsize= 1.000000 
-dualbound = 3771147.607876, lowerbound=1309401.607876, norm of subgrad 1144.755261	dualbound = 3771147.607876, lowerbound=1309401.607876, norm of subgrad 33.688613	 stepsize= 1.000000 
-dualbound = 3771212.614318, lowerbound=1307388.614318, norm of subgrad 1143.915475	dualbound = 3771212.614318, lowerbound=1307388.614318, norm of subgrad 34.914273	 stepsize= 1.000000 
-dualbound = 3771224.778802, lowerbound=1305616.778802, norm of subgrad 1143.140315	dualbound = 3771224.778802, lowerbound=1305616.778802, norm of subgrad 34.134506	 stepsize= 1.000000 
-dualbound = 3771324.900195, lowerbound=1301333.900195, norm of subgrad 1141.244452	dualbound = 3771324.900195, lowerbound=1301333.900195, norm of subgrad 34.714858	 stepsize= 1.000000 
-dualbound = 3771367.866841, lowerbound=1311843.866841, norm of subgrad 1145.847663	dualbound = 3771367.866841, lowerbound=1311843.866841, norm of subgrad 34.146254	 stepsize= 1.000000 
-dualbound = 3771417.275625, lowerbound=1307886.275625, norm of subgrad 1144.147401	dualbound = 3771417.275625, lowerbound=1307886.275625, norm of subgrad 35.162605	 stepsize= 1.000000 
-dualbound = 3771471.280555, lowerbound=1308290.280555, norm of subgrad 1144.308647	dualbound = 3771471.280555, lowerbound=1308290.280555, norm of subgrad 34.727582	 stepsize= 1.000000 
-dualbound = 3771540.895678, lowerbound=1312748.895678, norm of subgrad 1146.263450	dualbound = 3771540.895678, lowerbound=1312748.895678, norm of subgrad 35.222367	 stepsize= 1.000000 
-dualbound = 3771595.601337, lowerbound=1312230.601337, norm of subgrad 1146.017278	dualbound = 3771595.601337, lowerbound=1312230.601337, norm of subgrad 34.346844	 stepsize= 1.000000 
-dualbound = 3771674.368012, lowerbound=1309879.368012, norm of subgrad 1145.026798	dualbound = 3771674.368012, lowerbound=1309879.368012, norm of subgrad 35.857589	 stepsize= 1.000000 
-dualbound = 3771684.670451, lowerbound=1312289.670451, norm of subgrad 1146.073152	dualbound = 3771684.670451, lowerbound=1312289.670451, norm of subgrad 34.703061	 stepsize= 1.000000 
-dualbound = 3771777.901189, lowerbound=1303081.901189, norm of subgrad 1142.052057	dualbound = 3771777.901189, lowerbound=1303081.901189, norm of subgrad 35.975419	 stepsize= 1.000000 
-dualbound = 3771826.936591, lowerbound=1307340.936591, norm of subgrad 1143.882833	dualbound = 3771826.936591, lowerbound=1307340.936591, norm of subgrad 34.293373	 stepsize= 1.000000 
-dualbound = 3771899.782638, lowerbound=1308093.782638, norm of subgrad 1144.197877	dualbound = 3771899.782638, lowerbound=1308093.782638, norm of subgrad 34.173763	 stepsize= 1.000000 
-dualbound = 3771960.965753, lowerbound=1305622.965753, norm of subgrad 1143.140396	dualbound = 3771960.965753, lowerbound=1305622.965753, norm of subgrad 34.758929	 stepsize= 1.000000 
-dualbound = 3771989.620508, lowerbound=1310074.620508, norm of subgrad 1145.100267	dualbound = 3771989.620508, lowerbound=1310074.620508, norm of subgrad 34.765712	 stepsize= 1.000000 
-dualbound = 3772035.928507, lowerbound=1311666.928507, norm of subgrad 1145.810599	dualbound = 3772035.928507, lowerbound=1311666.928507, norm of subgrad 35.514898	 stepsize= 1.000000 
-dualbound = 3772099.249135, lowerbound=1308612.249135, norm of subgrad 1144.451069	dualbound = 3772099.249135, lowerbound=1308612.249135, norm of subgrad 34.918772	 stepsize= 1.000000 
-dualbound = 3772168.988724, lowerbound=1303163.988724, norm of subgrad 1142.063916	dualbound = 3772168.988724, lowerbound=1303163.988724, norm of subgrad 34.867457	 stepsize= 1.000000 
-dualbound = 3772236.235203, lowerbound=1309287.235203, norm of subgrad 1144.741995	dualbound = 3772236.235203, lowerbound=1309287.235203, norm of subgrad 34.846040	 stepsize= 1.000000 
-dualbound = 3772275.702167, lowerbound=1308835.702167, norm of subgrad 1144.543447	dualbound = 3772275.702167, lowerbound=1308835.702167, norm of subgrad 34.401555	 stepsize= 1.000000 
-dualbound = 3772324.627542, lowerbound=1307316.627542, norm of subgrad 1143.896249	dualbound = 3772324.627542, lowerbound=1307316.627542, norm of subgrad 35.084546	 stepsize= 1.000000 
-dualbound = 3772403.342932, lowerbound=1312402.342932, norm of subgrad 1146.111837	dualbound = 3772403.342932, lowerbound=1312402.342932, norm of subgrad 35.337167	 stepsize= 1.000000 
-dualbound = 3772445.526866, lowerbound=1306798.526866, norm of subgrad 1143.666266	dualbound = 3772445.526866, lowerbound=1306798.526866, norm of subgrad 34.873829	 stepsize= 1.000000 
-dualbound = 3772499.328163, lowerbound=1308165.328163, norm of subgrad 1144.279393	dualbound = 3772499.328163, lowerbound=1308165.328163, norm of subgrad 35.549983	 stepsize= 1.000000 
-dualbound = 3772559.352726, lowerbound=1313814.352726, norm of subgrad 1146.728108	dualbound = 3772559.352726, lowerbound=1313814.352726, norm of subgrad 35.085960	 stepsize= 1.000000 
-dualbound = 3772619.792120, lowerbound=1304521.792120, norm of subgrad 1142.638084	dualbound = 3772619.792120, lowerbound=1304521.792120, norm of subgrad 34.065223	 stepsize= 1.000000 
-dualbound = 3772699.650667, lowerbound=1307465.650667, norm of subgrad 1143.947399	dualbound = 3772699.650667, lowerbound=1307465.650667, norm of subgrad 35.069339	 stepsize= 1.000000 
-dualbound = 3772734.979011, lowerbound=1312223.979011, norm of subgrad 1146.024860	dualbound = 3772734.979011, lowerbound=1312223.979011, norm of subgrad 34.414072	 stepsize= 1.000000 
-dualbound = 3772801.818352, lowerbound=1309228.818352, norm of subgrad 1144.708617	dualbound = 3772801.818352, lowerbound=1309228.818352, norm of subgrad 34.580910	 stepsize= 1.000000 
-dualbound = 3772861.261939, lowerbound=1309763.261939, norm of subgrad 1144.954699	dualbound = 3772861.261939, lowerbound=1309763.261939, norm of subgrad 34.891884	 stepsize= 1.000000 
-dualbound = 3772924.768546, lowerbound=1309405.768546, norm of subgrad 1144.775423	dualbound = 3772924.768546, lowerbound=1309405.768546, norm of subgrad 34.183426	 stepsize= 1.000000 
-dualbound = 3772990.885681, lowerbound=1314536.885681, norm of subgrad 1147.036567	dualbound = 3772990.885681, lowerbound=1314536.885681, norm of subgrad 34.958792	 stepsize= 1.000000 
-dualbound = 3773035.533043, lowerbound=1308897.533043, norm of subgrad 1144.618510	dualbound = 3773035.533043, lowerbound=1308897.533043, norm of subgrad 36.036750	 stepsize= 1.000000 
-dualbound = 3773063.566450, lowerbound=1308707.566450, norm of subgrad 1144.504070	dualbound = 3773063.566450, lowerbound=1308707.566450, norm of subgrad 34.785534	 stepsize= 1.000000 
-dualbound = 3773165.279408, lowerbound=1307259.279408, norm of subgrad 1143.846266	dualbound = 3773165.279408, lowerbound=1307259.279408, norm of subgrad 35.024462	 stepsize= 1.000000 
-dualbound = 3773212.801797, lowerbound=1305832.801797, norm of subgrad 1143.239171	dualbound = 3773212.801797, lowerbound=1305832.801797, norm of subgrad 34.792562	 stepsize= 1.000000 
-dualbound = 3773277.787082, lowerbound=1311533.787082, norm of subgrad 1145.742025	dualbound = 3773277.787082, lowerbound=1311533.787082, norm of subgrad 35.439883	 stepsize= 1.000000 
-dualbound = 3773316.338003, lowerbound=1306613.338003, norm of subgrad 1143.588360	dualbound = 3773316.338003, lowerbound=1306613.338003, norm of subgrad 34.922069	 stepsize= 1.000000 
-dualbound = 3773414.205996, lowerbound=1313446.205996, norm of subgrad 1146.529636	dualbound = 3773414.205996, lowerbound=1313446.205996, norm of subgrad 34.378307	 stepsize= 1.000000 
-dualbound = 3773461.602965, lowerbound=1305666.602965, norm of subgrad 1143.165169	dualbound = 3773461.602965, lowerbound=1305666.602965, norm of subgrad 34.747618	 stepsize= 1.000000 
-dualbound = 3773488.127458, lowerbound=1312083.127458, norm of subgrad 1145.990457	dualbound = 3773488.127458, lowerbound=1312083.127458, norm of subgrad 35.178466	 stepsize= 1.000000 
-dualbound = 3773554.162937, lowerbound=1304328.162937, norm of subgrad 1142.590112	dualbound = 3773554.162937, lowerbound=1304328.162937, norm of subgrad 35.355841	 stepsize= 1.000000 
-dualbound = 3773607.026605, lowerbound=1307436.026605, norm of subgrad 1143.948874	dualbound = 3773607.026605, lowerbound=1307436.026605, norm of subgrad 35.154853	 stepsize= 1.000000 
-dualbound = 3773672.140168, lowerbound=1302466.140168, norm of subgrad 1141.765799	dualbound = 3773672.140168, lowerbound=1302466.140168, norm of subgrad 35.044451	 stepsize= 1.000000 
-dualbound = 3773743.435333, lowerbound=1310566.435333, norm of subgrad 1145.301897	dualbound = 3773743.435333, lowerbound=1310566.435333, norm of subgrad 34.947034	 stepsize= 1.000000 
-dualbound = 3773811.871711, lowerbound=1305685.871711, norm of subgrad 1143.179720	dualbound = 3773811.871711, lowerbound=1305685.871711, norm of subgrad 35.248211	 stepsize= 1.000000 
-dualbound = 3773853.692096, lowerbound=1309369.692096, norm of subgrad 1144.779757	dualbound = 3773853.692096, lowerbound=1309369.692096, norm of subgrad 34.537232	 stepsize= 1.000000 
-dualbound = 3773914.550954, lowerbound=1315628.550954, norm of subgrad 1147.511024	dualbound = 3773914.550954, lowerbound=1315628.550954, norm of subgrad 34.840477	 stepsize= 1.000000 
-dualbound = 3773965.931212, lowerbound=1310460.931212, norm of subgrad 1145.251471	dualbound = 3773965.931212, lowerbound=1310460.931212, norm of subgrad 34.516377	 stepsize= 1.000000 
-dualbound = 3774034.969401, lowerbound=1313739.969401, norm of subgrad 1146.708755	dualbound = 3774034.969401, lowerbound=1313739.969401, norm of subgrad 35.637595	 stepsize= 1.000000 
-dualbound = 3774050.254766, lowerbound=1308484.254766, norm of subgrad 1144.433159	dualbound = 3774050.254766, lowerbound=1308484.254766, norm of subgrad 35.472318	 stepsize= 1.000000 
-dualbound = 3774136.507098, lowerbound=1305457.507098, norm of subgrad 1143.040904	dualbound = 3774136.507098, lowerbound=1305457.507098, norm of subgrad 34.223564	 stepsize= 1.000000 
-dualbound = 3774211.160234, lowerbound=1310834.160234, norm of subgrad 1145.396508	dualbound = 3774211.160234, lowerbound=1310834.160234, norm of subgrad 34.258621	 stepsize= 1.000000 
-dualbound = 3774268.833275, lowerbound=1305119.833275, norm of subgrad 1142.925996	dualbound = 3774268.833275, lowerbound=1305119.833275, norm of subgrad 34.895172	 stepsize= 1.000000 
-dualbound = 3774311.456787, lowerbound=1311514.456787, norm of subgrad 1145.703040	dualbound = 3774311.456787, lowerbound=1311514.456787, norm of subgrad 34.111926	 stepsize= 1.000000 
-dualbound = 3774377.096424, lowerbound=1311577.096424, norm of subgrad 1145.747833	dualbound = 3774377.096424, lowerbound=1311577.096424, norm of subgrad 35.023416	 stepsize= 1.000000 
-dualbound = 3774405.062563, lowerbound=1311428.062563, norm of subgrad 1145.681047	dualbound = 3774405.062563, lowerbound=1311428.062563, norm of subgrad 34.423337	 stepsize= 1.000000 
-dualbound = 3774479.786164, lowerbound=1310333.786164, norm of subgrad 1145.204255	dualbound = 3774479.786164, lowerbound=1310333.786164, norm of subgrad 35.124402	 stepsize= 1.000000 
-dualbound = 3774548.952946, lowerbound=1309234.952946, norm of subgrad 1144.737067	dualbound = 3774548.952946, lowerbound=1309234.952946, norm of subgrad 35.456548	 stepsize= 1.000000 
-dualbound = 3774606.657686, lowerbound=1310391.657686, norm of subgrad 1145.226029	dualbound = 3774606.657686, lowerbound=1310391.657686, norm of subgrad 34.766431	 stepsize= 1.000000 
-dualbound = 3774669.201501, lowerbound=1305151.201501, norm of subgrad 1142.921783	dualbound = 3774669.201501, lowerbound=1305151.201501, norm of subgrad 34.373592	 stepsize= 1.000000 
-dualbound = 3774726.661188, lowerbound=1311845.661188, norm of subgrad 1145.861973	dualbound = 3774726.661188, lowerbound=1311845.661188, norm of subgrad 34.806029	 stepsize= 1.000000 
-dualbound = 3774783.400012, lowerbound=1307884.400012, norm of subgrad 1144.137404	dualbound = 3774783.400012, lowerbound=1307884.400012, norm of subgrad 34.967683	 stepsize= 1.000000 
-dualbound = 3774836.161784, lowerbound=1307609.161784, norm of subgrad 1144.042902	dualbound = 3774836.161784, lowerbound=1307609.161784, norm of subgrad 35.745794	 stepsize= 1.000000 
-dualbound = 3774871.583645, lowerbound=1312178.583645, norm of subgrad 1145.999818	dualbound = 3774871.583645, lowerbound=1312178.583645, norm of subgrad 34.240646	 stepsize= 1.000000 
-dualbound = 3774952.833729, lowerbound=1308594.833729, norm of subgrad 1144.442586	dualbound = 3774952.833729, lowerbound=1308594.833729, norm of subgrad 35.146125	 stepsize= 1.000000 
-dualbound = 3775009.751237, lowerbound=1304112.751237, norm of subgrad 1142.473961	dualbound = 3775009.751237, lowerbound=1304112.751237, norm of subgrad 34.509673	 stepsize= 1.000000 
-dualbound = 3775080.809096, lowerbound=1310362.809096, norm of subgrad 1145.226532	dualbound = 3775080.809096, lowerbound=1310362.809096, norm of subgrad 35.384430	 stepsize= 1.000000 
-dualbound = 3775116.242097, lowerbound=1310286.242097, norm of subgrad 1145.195722	dualbound = 3775116.242097, lowerbound=1310286.242097, norm of subgrad 34.963309	 stepsize= 1.000000 
-dualbound = 3775182.282593, lowerbound=1310583.282593, norm of subgrad 1145.285677	dualbound = 3775182.282593, lowerbound=1310583.282593, norm of subgrad 34.088715	 stepsize= 1.000000 
-dualbound = 3775252.306156, lowerbound=1308708.306156, norm of subgrad 1144.496093	dualbound = 3775252.306156, lowerbound=1308708.306156, norm of subgrad 35.114435	 stepsize= 1.000000 
-dualbound = 3775298.976943, lowerbound=1313293.976943, norm of subgrad 1146.499445	dualbound = 3775298.976943, lowerbound=1313293.976943, norm of subgrad 34.837778	 stepsize= 1.000000 
-dualbound = 3775358.284558, lowerbound=1308747.284558, norm of subgrad 1144.498704	dualbound = 3775358.284558, lowerbound=1308747.284558, norm of subgrad 34.486340	 stepsize= 1.000000 
-dualbound = 3775429.483312, lowerbound=1308987.483312, norm of subgrad 1144.610188	dualbound = 3775429.483312, lowerbound=1308987.483312, norm of subgrad 34.874041	 stepsize= 1.000000 
-dualbound = 3775459.444238, lowerbound=1311696.444238, norm of subgrad 1145.795551	dualbound = 3775459.444238, lowerbound=1311696.444238, norm of subgrad 34.365112	 stepsize= 1.000000 
-dualbound = 3775545.929731, lowerbound=1306412.929731, norm of subgrad 1143.484119	dualbound = 3775545.929731, lowerbound=1306412.929731, norm of subgrad 35.064020	 stepsize= 1.000000 
-dualbound = 3775560.964223, lowerbound=1307467.964223, norm of subgrad 1143.946224	dualbound = 3775560.964223, lowerbound=1307467.964223, norm of subgrad 34.059279	 stepsize= 1.000000 
-dualbound = 3775655.290565, lowerbound=1310798.290565, norm of subgrad 1145.417081	dualbound = 3775655.290565, lowerbound=1310798.290565, norm of subgrad 35.725710	 stepsize= 1.000000 
-dualbound = 3775687.772875, lowerbound=1310215.772875, norm of subgrad 1145.159715	dualbound = 3775687.772875, lowerbound=1310215.772875, norm of subgrad 34.748846	 stepsize= 1.000000 
-dualbound = 3775746.554883, lowerbound=1315053.554883, norm of subgrad 1147.273531	dualbound = 3775746.554883, lowerbound=1315053.554883, norm of subgrad 35.238927	 stepsize= 1.000000 
-dualbound = 3775814.657196, lowerbound=1312333.657196, norm of subgrad 1146.062240	dualbound = 3775814.657196, lowerbound=1312333.657196, norm of subgrad 34.541313	 stepsize= 1.000000 
-dualbound = 3775875.320155, lowerbound=1306536.320155, norm of subgrad 1143.555561	dualbound = 3775875.320155, lowerbound=1306536.320155, norm of subgrad 35.265606	 stepsize= 1.000000 
-dualbound = 3775935.182523, lowerbound=1304058.182523, norm of subgrad 1142.433010	dualbound = 3775935.182523, lowerbound=1304058.182523, norm of subgrad 33.983266	 stepsize= 1.000000 
-dualbound = 3776004.731916, lowerbound=1310544.731916, norm of subgrad 1145.287183	dualbound = 3776004.731916, lowerbound=1310544.731916, norm of subgrad 34.749811	 stepsize= 1.000000 
-dualbound = 3776029.451797, lowerbound=1314798.451797, norm of subgrad 1147.152759	dualbound = 3776029.451797, lowerbound=1314798.451797, norm of subgrad 34.434284	 stepsize= 1.000000 
-dualbound = 3776095.385813, lowerbound=1307202.385813, norm of subgrad 1143.836258	dualbound = 3776095.385813, lowerbound=1307202.385813, norm of subgrad 34.999057	 stepsize= 1.000000 
-dualbound = 3776162.205784, lowerbound=1311795.205784, norm of subgrad 1145.852174	dualbound = 3776162.205784, lowerbound=1311795.205784, norm of subgrad 35.338647	 stepsize= 1.000000 
-dualbound = 3776208.198654, lowerbound=1306812.198654, norm of subgrad 1143.676615	dualbound = 3776208.198654, lowerbound=1306812.198654, norm of subgrad 35.071254	 stepsize= 1.000000 
-dualbound = 3776266.827989, lowerbound=1311264.827989, norm of subgrad 1145.615480	dualbound = 3776266.827989, lowerbound=1311264.827989, norm of subgrad 35.051809	 stepsize= 1.000000 
-dualbound = 3776317.509535, lowerbound=1306769.509535, norm of subgrad 1143.658388	dualbound = 3776317.509535, lowerbound=1306769.509535, norm of subgrad 35.152262	 stepsize= 1.000000 
-dualbound = 3776390.771583, lowerbound=1306382.771583, norm of subgrad 1143.487985	dualbound = 3776390.771583, lowerbound=1306382.771583, norm of subgrad 35.429678	 stepsize= 1.000000 
-dualbound = 3776442.142068, lowerbound=1309076.142068, norm of subgrad 1144.670320	dualbound = 3776442.142068, lowerbound=1309076.142068, norm of subgrad 35.289807	 stepsize= 1.000000 
-dualbound = 3776501.494713, lowerbound=1307632.494713, norm of subgrad 1144.032995	dualbound = 3776501.494713, lowerbound=1307632.494713, norm of subgrad 35.190235	 stepsize= 1.000000 
-dualbound = 3776565.471297, lowerbound=1308952.471297, norm of subgrad 1144.588778	dualbound = 3776565.471297, lowerbound=1308952.471297, norm of subgrad 34.568433	 stepsize= 1.000000 
-dualbound = 3776628.242969, lowerbound=1309240.242969, norm of subgrad 1144.721906	dualbound = 3776628.242969, lowerbound=1309240.242969, norm of subgrad 34.796144	 stepsize= 1.000000 
-dualbound = 3776675.836539, lowerbound=1305809.836539, norm of subgrad 1143.232188	dualbound = 3776675.836539, lowerbound=1305809.836539, norm of subgrad 34.894033	 stepsize= 1.000000 
-dualbound = 3776742.293743, lowerbound=1310408.293743, norm of subgrad 1145.246390	dualbound = 3776742.293743, lowerbound=1310408.293743, norm of subgrad 35.319360	 stepsize= 1.000000 
-dualbound = 3776782.683625, lowerbound=1305147.683625, norm of subgrad 1142.958741	dualbound = 3776782.683625, lowerbound=1305147.683625, norm of subgrad 35.318407	 stepsize= 1.000000 
-dualbound = 3776850.185054, lowerbound=1310200.185054, norm of subgrad 1145.150726	dualbound = 3776850.185054, lowerbound=1310200.185054, norm of subgrad 35.178139	 stepsize= 1.000000 
-dualbound = 3776912.370688, lowerbound=1309266.370688, norm of subgrad 1144.728077	dualbound = 3776912.370688, lowerbound=1309266.370688, norm of subgrad 34.614818	 stepsize= 1.000000 
-dualbound = 3776971.005832, lowerbound=1312375.005832, norm of subgrad 1146.082897	dualbound = 3776971.005832, lowerbound=1312375.005832, norm of subgrad 34.491088	 stepsize= 1.000000 
-dualbound = 3777023.053086, lowerbound=1314408.053086, norm of subgrad 1146.977355	dualbound = 3777023.053086, lowerbound=1314408.053086, norm of subgrad 34.656129	 stepsize= 1.000000 
-dualbound = 3777080.184227, lowerbound=1310124.184227, norm of subgrad 1145.130204	dualbound = 3777080.184227, lowerbound=1310124.184227, norm of subgrad 35.441940	 stepsize= 1.000000 
-dualbound = 3777120.108023, lowerbound=1316948.108023, norm of subgrad 1148.114153	dualbound = 3777120.108023, lowerbound=1316948.108023, norm of subgrad 35.467221	 stepsize= 1.000000 
-dualbound = 3777183.835558, lowerbound=1310878.835558, norm of subgrad 1145.446129	dualbound = 3777183.835558, lowerbound=1310878.835558, norm of subgrad 35.095976	 stepsize= 1.000000 
-dualbound = 3777249.490555, lowerbound=1310516.490555, norm of subgrad 1145.301921	dualbound = 3777249.490555, lowerbound=1310516.490555, norm of subgrad 35.576045	 stepsize= 1.000000 
-dualbound = 3777305.221358, lowerbound=1312424.221358, norm of subgrad 1146.123127	dualbound = 3777305.221358, lowerbound=1312424.221358, norm of subgrad 35.067518	 stepsize= 1.000000 
-dualbound = 3777365.197206, lowerbound=1305096.197206, norm of subgrad 1142.922656	dualbound = 3777365.197206, lowerbound=1305096.197206, norm of subgrad 35.156448	 stepsize= 1.000000 
-dualbound = 3777416.085711, lowerbound=1309509.085711, norm of subgrad 1144.831903	dualbound = 3777416.085711, lowerbound=1309509.085711, norm of subgrad 34.378605	 stepsize= 1.000000 
-dualbound = 3777491.046526, lowerbound=1308144.046526, norm of subgrad 1144.238632	dualbound = 3777491.046526, lowerbound=1308144.046526, norm of subgrad 34.827587	 stepsize= 1.000000 
-dualbound = 3777537.108066, lowerbound=1309582.108066, norm of subgrad 1144.911834	dualbound = 3777537.108066, lowerbound=1309582.108066, norm of subgrad 35.875640	 stepsize= 1.000000 
-dualbound = 3777589.935766, lowerbound=1308034.935766, norm of subgrad 1144.214550	dualbound = 3777589.935766, lowerbound=1308034.935766, norm of subgrad 35.282116	 stepsize= 1.000000 
-dualbound = 3777658.021366, lowerbound=1312400.021366, norm of subgrad 1146.103844	dualbound = 3777658.021366, lowerbound=1312400.021366, norm of subgrad 34.958341	 stepsize= 1.000000 
-dualbound = 3777713.045840, lowerbound=1302967.045840, norm of subgrad 1141.973312	dualbound = 3777713.045840, lowerbound=1302967.045840, norm of subgrad 34.511222	 stepsize= 1.000000 
-dualbound = 3777784.132292, lowerbound=1308153.132292, norm of subgrad 1144.235174	dualbound = 3777784.132292, lowerbound=1308153.132292, norm of subgrad 34.526605	 stepsize= 1.000000 
-dualbound = 3777824.822088, lowerbound=1305137.822088, norm of subgrad 1142.944365	dualbound = 3777824.822088, lowerbound=1305137.822088, norm of subgrad 34.995568	 stepsize= 1.000000 
-dualbound = 3777875.840525, lowerbound=1308690.840525, norm of subgrad 1144.491957	dualbound = 3777875.840525, lowerbound=1308690.840525, norm of subgrad 34.957380	 stepsize= 1.000000 
-dualbound = 3777955.419134, lowerbound=1310361.419134, norm of subgrad 1145.205405	dualbound = 3777955.419134, lowerbound=1310361.419134, norm of subgrad 34.836455	 stepsize= 1.000000 
-dualbound = 3778017.970360, lowerbound=1305189.970360, norm of subgrad 1142.949242	dualbound = 3778017.970360, lowerbound=1305189.970360, norm of subgrad 34.721049	 stepsize= 1.000000 
-dualbound = 3778070.335460, lowerbound=1311044.335460, norm of subgrad 1145.524917	dualbound = 3778070.335460, lowerbound=1311044.335460, norm of subgrad 35.147761	 stepsize= 1.000000 
-dualbound = 3778122.253703, lowerbound=1311396.253703, norm of subgrad 1145.646653	dualbound = 3778122.253703, lowerbound=1311396.253703, norm of subgrad 34.086922	 stepsize= 1.000000 
-dualbound = 3778202.889691, lowerbound=1311413.889691, norm of subgrad 1145.661333	dualbound = 3778202.889691, lowerbound=1311413.889691, norm of subgrad 34.736666	 stepsize= 1.000000 
-dualbound = 3778241.831350, lowerbound=1305625.831350, norm of subgrad 1143.152584	dualbound = 3778241.831350, lowerbound=1305625.831350, norm of subgrad 34.798587	 stepsize= 1.000000 
-dualbound = 3778294.304314, lowerbound=1307654.304314, norm of subgrad 1144.051705	dualbound = 3778294.304314, lowerbound=1307654.304314, norm of subgrad 35.390295	 stepsize= 1.000000 
-dualbound = 3778346.608231, lowerbound=1314617.608231, norm of subgrad 1147.069138	dualbound = 3778346.608231, lowerbound=1314617.608231, norm of subgrad 34.674254	 stepsize= 1.000000 
-dualbound = 3778429.396769, lowerbound=1306584.396769, norm of subgrad 1143.557780	dualbound = 3778429.396769, lowerbound=1306584.396769, norm of subgrad 34.968393	 stepsize= 1.000000 
-dualbound = 3778460.374677, lowerbound=1314068.374677, norm of subgrad 1146.841914	dualbound = 3778460.374677, lowerbound=1314068.374677, norm of subgrad 34.770360	 stepsize= 1.000000 
-dualbound = 3778516.507486, lowerbound=1312533.507486, norm of subgrad 1146.177782	dualbound = 3778516.507486, lowerbound=1312533.507486, norm of subgrad 35.300606	 stepsize= 1.000000 
-dualbound = 3778577.181028, lowerbound=1313800.181028, norm of subgrad 1146.711464	dualbound = 3778577.181028, lowerbound=1313800.181028, norm of subgrad 34.751598	 stepsize= 1.000000 
-dualbound = 3778625.647575, lowerbound=1309034.647575, norm of subgrad 1144.627733	dualbound = 3778625.647575, lowerbound=1309034.647575, norm of subgrad 34.445124	 stepsize= 1.000000 
-dualbound = 3778691.349437, lowerbound=1304446.349437, norm of subgrad 1142.640079	dualbound = 3778691.349437, lowerbound=1304446.349437, norm of subgrad 35.294502	 stepsize= 1.000000 
-dualbound = 3778742.181347, lowerbound=1310461.181347, norm of subgrad 1145.251580	dualbound = 3778742.181347, lowerbound=1310461.181347, norm of subgrad 34.508432	 stepsize= 1.000000 
-dualbound = 3778794.238968, lowerbound=1311059.238968, norm of subgrad 1145.528367	dualbound = 3778794.238968, lowerbound=1311059.238968, norm of subgrad 35.043653	 stepsize= 1.000000 
-dualbound = 3778880.265547, lowerbound=1305712.265547, norm of subgrad 1143.197824	dualbound = 3778880.265547, lowerbound=1305712.265547, norm of subgrad 35.707514	 stepsize= 1.000000 
-dualbound = 3778906.895649, lowerbound=1311297.895649, norm of subgrad 1145.632094	dualbound = 3778906.895649, lowerbound=1311297.895649, norm of subgrad 34.664537	 stepsize= 1.000000 
-dualbound = 3778979.692492, lowerbound=1306835.692492, norm of subgrad 1143.661529	dualbound = 3778979.692492, lowerbound=1306835.692492, norm of subgrad 34.623646	 stepsize= 1.000000 
-dualbound = 3779058.845786, lowerbound=1311962.845786, norm of subgrad 1145.899579	dualbound = 3779058.845786, lowerbound=1311962.845786, norm of subgrad 34.672082	 stepsize= 1.000000 
-dualbound = 3779094.778900, lowerbound=1305139.778900, norm of subgrad 1142.935597	dualbound = 3779094.778900, lowerbound=1305139.778900, norm of subgrad 34.611170	 stepsize= 1.000000 
-dualbound = 3779165.263389, lowerbound=1314417.263389, norm of subgrad 1146.950855	dualbound = 3779165.263389, lowerbound=1314417.263389, norm of subgrad 33.904048	 stepsize= 1.000000 
-dualbound = 3779223.910297, lowerbound=1308634.910297, norm of subgrad 1144.442620	dualbound = 3779223.910297, lowerbound=1308634.910297, norm of subgrad 34.243932	 stepsize= 1.000000 
-dualbound = 3779276.079583, lowerbound=1311321.079583, norm of subgrad 1145.626937	dualbound = 3779276.079583, lowerbound=1311321.079583, norm of subgrad 34.527805	 stepsize= 1.000000 
-dualbound = 3779326.239199, lowerbound=1310904.239199, norm of subgrad 1145.466822	dualbound = 3779326.239199, lowerbound=1310904.239199, norm of subgrad 35.215900	 stepsize= 1.000000 
-dualbound = 3779351.075209, lowerbound=1306598.075209, norm of subgrad 1143.585185	dualbound = 3779351.075209, lowerbound=1306598.075209, norm of subgrad 34.840149	 stepsize= 1.000000 
-dualbound = 3779452.645795, lowerbound=1307475.645795, norm of subgrad 1143.950019	dualbound = 3779452.645795, lowerbound=1307475.645795, norm of subgrad 35.320965	 stepsize= 1.000000 
-dualbound = 3779499.138583, lowerbound=1313646.138583, norm of subgrad 1146.656940	dualbound = 3779499.138583, lowerbound=1313646.138583, norm of subgrad 34.964164	 stepsize= 1.000000 
-dualbound = 3779543.724009, lowerbound=1308085.724009, norm of subgrad 1144.226256	dualbound = 3779543.724009, lowerbound=1308085.724009, norm of subgrad 34.822197	 stepsize= 1.000000 
-dualbound = 3779627.218300, lowerbound=1316432.218300, norm of subgrad 1147.836756	dualbound = 3779627.218300, lowerbound=1316432.218300, norm of subgrad 34.358322	 stepsize= 1.000000 
-dualbound = 3779680.965661, lowerbound=1304618.965661, norm of subgrad 1142.729612	dualbound = 3779680.965661, lowerbound=1304618.965661, norm of subgrad 35.577343	 stepsize= 1.000000 
-dualbound = 3779700.462123, lowerbound=1309382.462123, norm of subgrad 1144.808483	dualbound = 3779700.462123, lowerbound=1309382.462123, norm of subgrad 34.978514	 stepsize= 1.000000 
-dualbound = 3779773.565644, lowerbound=1307906.565644, norm of subgrad 1144.165008	dualbound = 3779773.565644, lowerbound=1307906.565644, norm of subgrad 35.778534	 stepsize= 1.000000 
-dualbound = 3779834.887303, lowerbound=1308085.887303, norm of subgrad 1144.217587	dualbound = 3779834.887303, lowerbound=1308085.887303, norm of subgrad 34.775302	 stepsize= 1.000000 
-dualbound = 3779897.826404, lowerbound=1302424.826404, norm of subgrad 1141.774858	dualbound = 3779897.826404, lowerbound=1302424.826404, norm of subgrad 35.887868	 stepsize= 1.000000 
-dualbound = 3779931.301988, lowerbound=1311040.301988, norm of subgrad 1145.524466	dualbound = 3779931.301988, lowerbound=1311040.301988, norm of subgrad 34.920991	 stepsize= 1.000000 
-dualbound = 3780032.815516, lowerbound=1315755.815516, norm of subgrad 1147.541640	dualbound = 3780032.815516, lowerbound=1315755.815516, norm of subgrad 34.605108	 stepsize= 1.000000 
-dualbound = 3780085.832826, lowerbound=1306401.832826, norm of subgrad 1143.476643	dualbound = 3780085.832826, lowerbound=1306401.832826, norm of subgrad 34.496628	 stepsize= 1.000000 
-dualbound = 3780138.485169, lowerbound=1318274.485169, norm of subgrad 1148.665088	dualbound = 3780138.485169, lowerbound=1318274.485169, norm of subgrad 34.780057	 stepsize= 1.000000 
-dualbound = 3780176.427687, lowerbound=1306104.427687, norm of subgrad 1143.381576	dualbound = 3780176.427687, lowerbound=1306104.427687, norm of subgrad 35.425168	 stepsize= 1.000000 
-dualbound = 3780229.128651, lowerbound=1303310.128651, norm of subgrad 1142.161604	dualbound = 3780229.128651, lowerbound=1303310.128651, norm of subgrad 35.716956	 stepsize= 1.000000 
-dualbound = 3780311.354967, lowerbound=1310294.354967, norm of subgrad 1145.175251	dualbound = 3780311.354967, lowerbound=1310294.354967, norm of subgrad 34.845750	 stepsize= 1.000000 
-dualbound = 3780374.236571, lowerbound=1310617.236571, norm of subgrad 1145.324948	dualbound = 3780374.236571, lowerbound=1310617.236571, norm of subgrad 34.855152	 stepsize= 1.000000 
-dualbound = 3780399.533804, lowerbound=1310114.533804, norm of subgrad 1145.109835	dualbound = 3780399.533804, lowerbound=1310114.533804, norm of subgrad 34.457180	 stepsize= 1.000000 
-dualbound = 3780468.472958, lowerbound=1309282.472958, norm of subgrad 1144.759133	dualbound = 3780468.472958, lowerbound=1309282.472958, norm of subgrad 35.495622	 stepsize= 1.000000 
-dualbound = 3780528.291017, lowerbound=1309077.291017, norm of subgrad 1144.635877	dualbound = 3780528.291017, lowerbound=1309077.291017, norm of subgrad 34.261028	 stepsize= 1.000000 
-dualbound = 3780609.052085, lowerbound=1311350.052085, norm of subgrad 1145.621688	dualbound = 3780609.052085, lowerbound=1311350.052085, norm of subgrad 34.347650	 stepsize= 1.000000 
-dualbound = 3780671.096015, lowerbound=1307048.096015, norm of subgrad 1143.720725	dualbound = 3780671.096015, lowerbound=1307048.096015, norm of subgrad 33.332326	 stepsize= 1.000000 
-dualbound = 3780727.462834, lowerbound=1309048.462834, norm of subgrad 1144.618479	dualbound = 3780727.462834, lowerbound=1309048.462834, norm of subgrad 34.049476	 stepsize= 1.000000 
-dualbound = 3780774.434147, lowerbound=1307561.434147, norm of subgrad 1143.975714	dualbound = 3780774.434147, lowerbound=1307561.434147, norm of subgrad 34.146322	 stepsize= 1.000000 
-dualbound = 3780822.982267, lowerbound=1310754.982267, norm of subgrad 1145.374603	dualbound = 3780822.982267, lowerbound=1310754.982267, norm of subgrad 34.300847	 stepsize= 1.000000 
-dualbound = 3780893.848876, lowerbound=1317655.848876, norm of subgrad 1148.365294	dualbound = 3780893.848876, lowerbound=1317655.848876, norm of subgrad 34.027439	 stepsize= 1.000000 
-dualbound = 3780946.497104, lowerbound=1308009.497104, norm of subgrad 1144.167600	dualbound = 3780946.497104, lowerbound=1308009.497104, norm of subgrad 34.097628	 stepsize= 1.000000 
-dualbound = 3781002.078847, lowerbound=1309938.078847, norm of subgrad 1145.041955	dualbound = 3781002.078847, lowerbound=1309938.078847, norm of subgrad 35.193490	 stepsize= 1.000000 
-dualbound = 3781045.114395, lowerbound=1306558.114395, norm of subgrad 1143.564652	dualbound = 3781045.114395, lowerbound=1306558.114395, norm of subgrad 35.000508	 stepsize= 1.000000 
-dualbound = 3781093.089598, lowerbound=1307021.089598, norm of subgrad 1143.744329	dualbound = 3781093.089598, lowerbound=1307021.089598, norm of subgrad 34.321643	 stepsize= 1.000000 
-dualbound = 3781174.436159, lowerbound=1309435.436159, norm of subgrad 1144.809345	dualbound = 3781174.436159, lowerbound=1309435.436159, norm of subgrad 35.133269	 stepsize= 1.000000 
-dualbound = 3781207.449132, lowerbound=1310284.449132, norm of subgrad 1145.203671	dualbound = 3781207.449132, lowerbound=1310284.449132, norm of subgrad 35.213818	 stepsize= 1.000000 
-dualbound = 3781293.849454, lowerbound=1310308.849454, norm of subgrad 1145.174593	dualbound = 3781293.849454, lowerbound=1310308.849454, norm of subgrad 34.675645	 stepsize= 1.000000 
-dualbound = 3781336.813465, lowerbound=1310731.813465, norm of subgrad 1145.354012	dualbound = 3781336.813465, lowerbound=1310731.813465, norm of subgrad 33.866857	 stepsize= 1.000000 
-dualbound = 3781423.191468, lowerbound=1310460.191468, norm of subgrad 1145.241543	dualbound = 3781423.191468, lowerbound=1310460.191468, norm of subgrad 34.704150	 stepsize= 1.000000 
-dualbound = 3781448.202545, lowerbound=1311964.202545, norm of subgrad 1145.908025	dualbound = 3781448.202545, lowerbound=1311964.202545, norm of subgrad 34.146904	 stepsize= 1.000000 
-dualbound = 3781535.377237, lowerbound=1307797.377237, norm of subgrad 1144.071404	dualbound = 3781535.377237, lowerbound=1307797.377237, norm of subgrad 34.484412	 stepsize= 1.000000 
-dualbound = 3781570.766524, lowerbound=1314128.766524, norm of subgrad 1146.852112	dualbound = 3781570.766524, lowerbound=1314128.766524, norm of subgrad 34.298532	 stepsize= 1.000000 
-dualbound = 3781633.503040, lowerbound=1306502.503040, norm of subgrad 1143.524597	dualbound = 3781633.503040, lowerbound=1306502.503040, norm of subgrad 34.766888	 stepsize= 1.000000 
-dualbound = 3781642.046869, lowerbound=1311219.046869, norm of subgrad 1145.608156	dualbound = 3781642.046869, lowerbound=1311219.046869, norm of subgrad 34.749731	 stepsize= 1.000000 
-dualbound = 3781731.741993, lowerbound=1311792.741993, norm of subgrad 1145.820118	dualbound = 3781731.741993, lowerbound=1311792.741993, norm of subgrad 34.651048	 stepsize= 1.000000 
-dualbound = 3781793.453039, lowerbound=1311222.453039, norm of subgrad 1145.578218	dualbound = 3781793.453039, lowerbound=1311222.453039, norm of subgrad 34.477689	 stepsize= 1.000000 
-dualbound = 3781836.158686, lowerbound=1308593.158686, norm of subgrad 1144.451903	dualbound = 3781836.158686, lowerbound=1308593.158686, norm of subgrad 34.924284	 stepsize= 1.000000 
-dualbound = 3781895.312327, lowerbound=1312242.312327, norm of subgrad 1146.049001	dualbound = 3781895.312327, lowerbound=1312242.312327, norm of subgrad 35.286735	 stepsize= 1.000000 
-dualbound = 3781963.169393, lowerbound=1309637.169393, norm of subgrad 1144.875176	dualbound = 3781963.169393, lowerbound=1309637.169393, norm of subgrad 34.203173	 stepsize= 1.000000 
-dualbound = 3782043.465518, lowerbound=1310009.465518, norm of subgrad 1144.998020	dualbound = 3782043.465518, lowerbound=1310009.465518, norm of subgrad 33.034771	 stepsize= 1.000000 
-dualbound = 3782114.162313, lowerbound=1311870.162313, norm of subgrad 1145.833828	dualbound = 3782114.162313, lowerbound=1311870.162313, norm of subgrad 33.700101	 stepsize= 1.000000 
-dualbound = 3782141.784365, lowerbound=1306664.784365, norm of subgrad 1143.589430	dualbound = 3782141.784365, lowerbound=1306664.784365, norm of subgrad 34.053224	 stepsize= 1.000000 
-dualbound = 3782188.391879, lowerbound=1314394.391879, norm of subgrad 1146.980554	dualbound = 3782188.391879, lowerbound=1314394.391879, norm of subgrad 34.879901	 stepsize= 1.000000 
-dualbound = 3782232.235443, lowerbound=1310566.235443, norm of subgrad 1145.317963	dualbound = 3782232.235443, lowerbound=1310566.235443, norm of subgrad 35.083380	 stepsize= 1.000000 
-dualbound = 3782304.923338, lowerbound=1306750.923338, norm of subgrad 1143.619659	dualbound = 3782304.923338, lowerbound=1306750.923338, norm of subgrad 34.462848	 stepsize= 1.000000 
-dualbound = 3782368.663566, lowerbound=1313261.663566, norm of subgrad 1146.473577	dualbound = 3782368.663566, lowerbound=1313261.663566, norm of subgrad 34.694960	 stepsize= 1.000000 
-dualbound = 3782412.445387, lowerbound=1315569.445387, norm of subgrad 1147.492678	dualbound = 3782412.445387, lowerbound=1315569.445387, norm of subgrad 34.839372	 stepsize= 1.000000 
-dualbound = 3782497.224587, lowerbound=1311013.224587, norm of subgrad 1145.466815	dualbound = 3782497.224587, lowerbound=1311013.224587, norm of subgrad 34.143509	 stepsize= 1.000000 
-dualbound = 3782550.113260, lowerbound=1305667.113260, norm of subgrad 1143.169328	dualbound = 3782550.113260, lowerbound=1305667.113260, norm of subgrad 34.955524	 stepsize= 1.000000 
-dualbound = 3782571.406817, lowerbound=1312138.406817, norm of subgrad 1145.991015	dualbound = 3782571.406817, lowerbound=1312138.406817, norm of subgrad 34.326281	 stepsize= 1.000000 
-dualbound = 3782663.076401, lowerbound=1308216.076401, norm of subgrad 1144.308558	dualbound = 3782663.076401, lowerbound=1308216.076401, norm of subgrad 36.299719	 stepsize= 1.000000 
-dualbound = 3782651.486218, lowerbound=1311098.486218, norm of subgrad 1145.581287	dualbound = 3782651.486218, lowerbound=1311098.486218, norm of subgrad 35.304530	 stepsize= 1.000000 
-dualbound = 3782758.583976, lowerbound=1309020.583976, norm of subgrad 1144.636005	dualbound = 3782758.583976, lowerbound=1309020.583976, norm of subgrad 35.750493	 stepsize= 1.000000 
-dualbound = 3782808.808366, lowerbound=1308821.808366, norm of subgrad 1144.536504	dualbound = 3782808.808366, lowerbound=1308821.808366, norm of subgrad 34.528602	 stepsize= 1.000000 
-dualbound = 3782884.978387, lowerbound=1315052.978387, norm of subgrad 1147.257154	dualbound = 3782884.978387, lowerbound=1315052.978387, norm of subgrad 34.959548	 stepsize= 1.000000 
-dualbound = 3782934.125384, lowerbound=1307880.125384, norm of subgrad 1144.109315	dualbound = 3782934.125384, lowerbound=1307880.125384, norm of subgrad 33.987454	 stepsize= 1.000000 
-dualbound = 3783013.811197, lowerbound=1308468.811197, norm of subgrad 1144.373545	dualbound = 3783013.811197, lowerbound=1308468.811197, norm of subgrad 34.665340	 stepsize= 1.000000 
-dualbound = 3783030.384785, lowerbound=1316837.384785, norm of subgrad 1148.034575	dualbound = 3783030.384785, lowerbound=1316837.384785, norm of subgrad 34.096533	 stepsize= 1.000000 
-dualbound = 3783103.156968, lowerbound=1306175.156968, norm of subgrad 1143.366152	dualbound = 3783103.156968, lowerbound=1306175.156968, norm of subgrad 34.405991	 stepsize= 1.000000 
-dualbound = 3783155.541718, lowerbound=1314003.541718, norm of subgrad 1146.763943	dualbound = 3783155.541718, lowerbound=1314003.541718, norm of subgrad 33.412344	 stepsize= 1.000000 
-dualbound = 3783247.189735, lowerbound=1308684.189735, norm of subgrad 1144.498663	dualbound = 3783247.189735, lowerbound=1308684.189735, norm of subgrad 35.841987	 stepsize= 1.000000 
-dualbound = 3783259.161263, lowerbound=1310357.161263, norm of subgrad 1145.193940	dualbound = 3783259.161263, lowerbound=1310357.161263, norm of subgrad 33.525685	 stepsize= 1.000000 
-dualbound = 3783351.199694, lowerbound=1307786.199694, norm of subgrad 1144.026748	dualbound = 3783351.199694, lowerbound=1307786.199694, norm of subgrad 33.212022	 stepsize= 1.000000 
-dualbound = 3783412.989271, lowerbound=1309209.989271, norm of subgrad 1144.668506	dualbound = 3783412.989271, lowerbound=1309209.989271, norm of subgrad 33.433360	 stepsize= 1.000000 
-dualbound = 3783478.852897, lowerbound=1314368.852897, norm of subgrad 1146.941957	dualbound = 3783478.852897, lowerbound=1314368.852897, norm of subgrad 34.247097	 stepsize= 1.000000 
-dualbound = 3783506.783548, lowerbound=1306307.783548, norm of subgrad 1143.432894	dualbound = 3783506.783548, lowerbound=1306307.783548, norm of subgrad 34.043071	 stepsize= 1.000000 
-dualbound = 3783557.707321, lowerbound=1310327.707321, norm of subgrad 1145.183264	dualbound = 3783557.707321, lowerbound=1310327.707321, norm of subgrad 34.174900	 stepsize= 1.000000 
-dualbound = 3783621.924032, lowerbound=1318239.924032, norm of subgrad 1148.634374	dualbound = 3783621.924032, lowerbound=1318239.924032, norm of subgrad 34.426977	 stepsize= 1.000000 
-dualbound = 3783695.858631, lowerbound=1306751.858631, norm of subgrad 1143.609574	dualbound = 3783695.858631, lowerbound=1306751.858631, norm of subgrad 34.131138	 stepsize= 1.000000 
-dualbound = 3783733.013937, lowerbound=1312621.013937, norm of subgrad 1146.179748	dualbound = 3783733.013937, lowerbound=1312621.013937, norm of subgrad 33.825365	 stepsize= 1.000000 
-dualbound = 3783793.998432, lowerbound=1306973.998432, norm of subgrad 1143.737294	dualbound = 3783793.998432, lowerbound=1306973.998432, norm of subgrad 34.956895	 stepsize= 1.000000 
-dualbound = 3783818.534117, lowerbound=1310633.534117, norm of subgrad 1145.339048	dualbound = 3783818.534117, lowerbound=1310633.534117, norm of subgrad 34.533110	 stepsize= 1.000000 
-dualbound = 3783910.511543, lowerbound=1309261.511543, norm of subgrad 1144.722460	dualbound = 3783910.511543, lowerbound=1309261.511543, norm of subgrad 34.928175	 stepsize= 1.000000 
-dualbound = 3783955.724343, lowerbound=1313691.724343, norm of subgrad 1146.658504	dualbound = 3783955.724343, lowerbound=1313691.724343, norm of subgrad 34.339668	 stepsize= 1.000000 
-dualbound = 3784008.990667, lowerbound=1307076.990667, norm of subgrad 1143.771389	dualbound = 3784008.990667, lowerbound=1307076.990667, norm of subgrad 34.485741	 stepsize= 1.000000 
-dualbound = 3784076.374125, lowerbound=1308690.374125, norm of subgrad 1144.495685	dualbound = 3784076.374125, lowerbound=1308690.374125, norm of subgrad 35.318316	 stepsize= 1.000000 
-dualbound = 3784111.181928, lowerbound=1311356.181928, norm of subgrad 1145.656660	dualbound = 3784111.181928, lowerbound=1311356.181928, norm of subgrad 34.753529	 stepsize= 1.000000 
-dualbound = 3784168.897608, lowerbound=1308899.897608, norm of subgrad 1144.602070	dualbound = 3784168.897608, lowerbound=1308899.897608, norm of subgrad 35.661123	 stepsize= 1.000000 
-dualbound = 3784225.734417, lowerbound=1311751.734417, norm of subgrad 1145.837569	dualbound = 3784225.734417, lowerbound=1311751.734417, norm of subgrad 35.338885	 stepsize= 1.000000 
-dualbound = 3784269.403499, lowerbound=1314483.403499, norm of subgrad 1147.039844	dualbound = 3784269.403499, lowerbound=1314483.403499, norm of subgrad 35.505902	 stepsize= 1.000000 
-dualbound = 3784348.325235, lowerbound=1307256.325235, norm of subgrad 1143.874698	dualbound = 3784348.325235, lowerbound=1307256.325235, norm of subgrad 35.664012	 stepsize= 1.000000 
-dualbound = 3784394.018081, lowerbound=1311881.018081, norm of subgrad 1145.869547	dualbound = 3784394.018081, lowerbound=1311881.018081, norm of subgrad 34.375760	 stepsize= 1.000000 
-dualbound = 3784471.538235, lowerbound=1311188.538235, norm of subgrad 1145.549012	dualbound = 3784471.538235, lowerbound=1311188.538235, norm of subgrad 34.227477	 stepsize= 1.000000 
-dualbound = 3784548.857448, lowerbound=1311231.857448, norm of subgrad 1145.603709	dualbound = 3784548.857448, lowerbound=1311231.857448, norm of subgrad 35.402249	 stepsize= 1.000000 
-dualbound = 3784553.040669, lowerbound=1313568.040669, norm of subgrad 1146.608495	dualbound = 3784553.040669, lowerbound=1313568.040669, norm of subgrad 33.870093	 stepsize= 1.000000 
-dualbound = 3784657.956974, lowerbound=1311876.956974, norm of subgrad 1145.843775	dualbound = 3784657.956974, lowerbound=1311876.956974, norm of subgrad 34.437136	 stepsize= 1.000000 
-dualbound = 3784687.751359, lowerbound=1313117.751359, norm of subgrad 1146.375921	dualbound = 3784687.751359, lowerbound=1313117.751359, norm of subgrad 33.012034	 stepsize= 1.000000 
-dualbound = 3784800.505923, lowerbound=1311672.505923, norm of subgrad 1145.744957	dualbound = 3784800.505923, lowerbound=1311672.505923, norm of subgrad 34.230901	 stepsize= 1.000000 
-dualbound = 3784803.362859, lowerbound=1312695.362859, norm of subgrad 1146.207818	dualbound = 3784803.362859, lowerbound=1312695.362859, norm of subgrad 33.164091	 stepsize= 1.000000 
-dualbound = 3784864.375347, lowerbound=1308267.375347, norm of subgrad 1144.321360	dualbound = 3784864.375347, lowerbound=1308267.375347, norm of subgrad 35.567014	 stepsize= 1.000000 
-dualbound = 3784898.349127, lowerbound=1310251.349127, norm of subgrad 1145.166079	dualbound = 3784898.349127, lowerbound=1310251.349127, norm of subgrad 34.466996	 stepsize= 1.000000 
-dualbound = 3784980.450807, lowerbound=1309466.450807, norm of subgrad 1144.822017	dualbound = 3784980.450807, lowerbound=1309466.450807, norm of subgrad 35.115548	 stepsize= 1.000000 
-dualbound = 3785025.508898, lowerbound=1310749.508898, norm of subgrad 1145.370905	dualbound = 3785025.508898, lowerbound=1310749.508898, norm of subgrad 34.206112	 stepsize= 1.000000 
-dualbound = 3785085.922719, lowerbound=1306206.922719, norm of subgrad 1143.416776	dualbound = 3785085.922719, lowerbound=1306206.922719, norm of subgrad 35.431819	 stepsize= 1.000000 
-dualbound = 3785121.724888, lowerbound=1310162.724888, norm of subgrad 1145.135243	dualbound = 3785121.724888, lowerbound=1310162.724888, norm of subgrad 34.753448	 stepsize= 1.000000 
-dualbound = 3785206.184540, lowerbound=1307196.184540, norm of subgrad 1143.828739	dualbound = 3785206.184540, lowerbound=1307196.184540, norm of subgrad 35.106405	 stepsize= 1.000000 
-dualbound = 3785287.538245, lowerbound=1309806.538245, norm of subgrad 1144.941718	dualbound = 3785287.538245, lowerbound=1309806.538245, norm of subgrad 34.151921	 stepsize= 1.000000 
-dualbound = 3785328.286962, lowerbound=1308721.286962, norm of subgrad 1144.486910	dualbound = 3785328.286962, lowerbound=1308721.286962, norm of subgrad 34.201589	 stepsize= 1.000000 
-dualbound = 3785348.505856, lowerbound=1310147.505856, norm of subgrad 1145.151303	dualbound = 3785348.505856, lowerbound=1310147.505856, norm of subgrad 35.273487	 stepsize= 1.000000 
-dualbound = 3785432.454849, lowerbound=1306449.454849, norm of subgrad 1143.516705	dualbound = 3785432.454849, lowerbound=1306449.454849, norm of subgrad 35.566121	 stepsize= 1.000000 
-dualbound = 3785473.046163, lowerbound=1315542.046163, norm of subgrad 1147.490325	dualbound = 3785473.046163, lowerbound=1315542.046163, norm of subgrad 35.108280	 stepsize= 1.000000 
-dualbound = 3785525.885863, lowerbound=1310578.885863, norm of subgrad 1145.335709	dualbound = 3785525.885863, lowerbound=1310578.885863, norm of subgrad 35.606737	 stepsize= 1.000000 
-dualbound = 3785597.384550, lowerbound=1311632.384550, norm of subgrad 1145.781561	dualbound = 3785597.384550, lowerbound=1311632.384550, norm of subgrad 35.418903	 stepsize= 1.000000 
-dualbound = 3785662.400605, lowerbound=1307479.400605, norm of subgrad 1143.959528	dualbound = 3785662.400605, lowerbound=1307479.400605, norm of subgrad 35.057325	 stepsize= 1.000000 
-dualbound = 3785748.275527, lowerbound=1312758.275527, norm of subgrad 1146.232645	dualbound = 3785748.275527, lowerbound=1312758.275527, norm of subgrad 34.305611	 stepsize= 1.000000 
-dualbound = 3785798.181477, lowerbound=1306089.181477, norm of subgrad 1143.328554	dualbound = 3785798.181477, lowerbound=1306089.181477, norm of subgrad 34.072070	 stepsize= 1.000000 
-dualbound = 3785846.624954, lowerbound=1310694.624954, norm of subgrad 1145.345199	dualbound = 3785846.624954, lowerbound=1310694.624954, norm of subgrad 34.197127	 stepsize= 1.000000 
-dualbound = 3785891.953997, lowerbound=1311168.953997, norm of subgrad 1145.596768	dualbound = 3785891.953997, lowerbound=1311168.953997, norm of subgrad 35.613608	 stepsize= 1.000000 
-dualbound = 3785946.598222, lowerbound=1311071.598222, norm of subgrad 1145.498406	dualbound = 3785946.598222, lowerbound=1311071.598222, norm of subgrad 33.906404	 stepsize= 1.000000 
-dualbound = 3786029.060875, lowerbound=1315608.060875, norm of subgrad 1147.491203	dualbound = 3786029.060875, lowerbound=1315608.060875, norm of subgrad 34.791704	 stepsize= 1.000000 
-dualbound = 3786066.205011, lowerbound=1312123.205011, norm of subgrad 1145.960822	dualbound = 3786066.205011, lowerbound=1312123.205011, norm of subgrad 33.766020	 stepsize= 1.000000 
-dualbound = 3786138.435139, lowerbound=1306659.435139, norm of subgrad 1143.574412	dualbound = 3786138.435139, lowerbound=1306659.435139, norm of subgrad 34.281630	 stepsize= 1.000000 
-dualbound = 3786181.975100, lowerbound=1312739.975100, norm of subgrad 1146.232077	dualbound = 3786181.975100, lowerbound=1312739.975100, norm of subgrad 33.934348	 stepsize= 1.000000 
-dualbound = 3786233.686439, lowerbound=1307242.686439, norm of subgrad 1143.865677	dualbound = 3786233.686439, lowerbound=1307242.686439, norm of subgrad 35.181122	 stepsize= 1.000000 
-dualbound = 3786276.493620, lowerbound=1315760.493620, norm of subgrad 1147.575485	dualbound = 3786276.493620, lowerbound=1315760.493620, norm of subgrad 34.811021	 stepsize= 1.000000 
-dualbound = 3786345.733430, lowerbound=1308104.733430, norm of subgrad 1144.210965	dualbound = 3786345.733430, lowerbound=1308104.733430, norm of subgrad 34.398253	 stepsize= 1.000000 
-dualbound = 3786409.117748, lowerbound=1309432.117748, norm of subgrad 1144.790425	dualbound = 3786409.117748, lowerbound=1309432.117748, norm of subgrad 34.298459	 stepsize= 1.000000 
-dualbound = 3786476.154194, lowerbound=1305619.154194, norm of subgrad 1143.148789	dualbound = 3786476.154194, lowerbound=1305619.154194, norm of subgrad 35.171529	 stepsize= 1.000000 
-dualbound = 3786512.907567, lowerbound=1311035.907567, norm of subgrad 1145.477589	dualbound = 3786512.907567, lowerbound=1311035.907567, norm of subgrad 33.462716	 stepsize= 1.000000 
-dualbound = 3786593.207661, lowerbound=1311653.207661, norm of subgrad 1145.755300	dualbound = 3786593.207661, lowerbound=1311653.207661, norm of subgrad 34.384591	 stepsize= 1.000000 
-dualbound = 3786645.774216, lowerbound=1319157.774216, norm of subgrad 1149.046898	dualbound = 3786645.774216, lowerbound=1319157.774216, norm of subgrad 34.692457	 stepsize= 1.000000 
-dualbound = 3786679.865236, lowerbound=1307383.865236, norm of subgrad 1143.927386	dualbound = 3786679.865236, lowerbound=1307383.865236, norm of subgrad 34.929801	 stepsize= 1.000000 
-dualbound = 3786723.095347, lowerbound=1312762.095347, norm of subgrad 1146.294506	dualbound = 3786723.095347, lowerbound=1312762.095347, norm of subgrad 35.668335	 stepsize= 1.000000 
-dualbound = 3786768.428329, lowerbound=1312025.428329, norm of subgrad 1145.946957	dualbound = 3786768.428329, lowerbound=1312025.428329, norm of subgrad 34.847281	 stepsize= 1.000000 
-dualbound = 3786842.287665, lowerbound=1308539.287665, norm of subgrad 1144.430989	dualbound = 3786842.287665, lowerbound=1308539.287665, norm of subgrad 35.452212	 stepsize= 1.000000 
-dualbound = 3786902.430630, lowerbound=1310406.430630, norm of subgrad 1145.237281	dualbound = 3786902.430630, lowerbound=1310406.430630, norm of subgrad 34.959161	 stepsize= 1.000000 
-dualbound = 3786966.605658, lowerbound=1314878.605658, norm of subgrad 1147.194232	dualbound = 3786966.605658, lowerbound=1314878.605658, norm of subgrad 35.216119	 stepsize= 1.000000 
-dualbound = 3787007.581652, lowerbound=1310719.581652, norm of subgrad 1145.385342	dualbound = 3787007.581652, lowerbound=1310719.581652, norm of subgrad 35.056754	 stepsize= 1.000000 
-dualbound = 3787080.981622, lowerbound=1315682.981622, norm of subgrad 1147.540405	dualbound = 3787080.981622, lowerbound=1315682.981622, norm of subgrad 35.205113	 stepsize= 1.000000 
-dualbound = 3787108.177897, lowerbound=1310453.177897, norm of subgrad 1145.255944	dualbound = 3787108.177897, lowerbound=1310453.177897, norm of subgrad 34.426680	 stepsize= 1.000000 
-dualbound = 3787201.395417, lowerbound=1308362.395417, norm of subgrad 1144.343216	dualbound = 3787201.395417, lowerbound=1308362.395417, norm of subgrad 35.386686	 stepsize= 1.000000 
-dualbound = 3787235.404092, lowerbound=1313782.404092, norm of subgrad 1146.699788	dualbound = 3787235.404092, lowerbound=1313782.404092, norm of subgrad 34.234612	 stepsize= 1.000000 
-dualbound = 3787331.500990, lowerbound=1307052.500990, norm of subgrad 1143.755438	dualbound = 3787331.500990, lowerbound=1307052.500990, norm of subgrad 34.929885	 stepsize= 1.000000 
-dualbound = 3787360.151053, lowerbound=1312900.151053, norm of subgrad 1146.311978	dualbound = 3787360.151053, lowerbound=1312900.151053, norm of subgrad 34.053635	 stepsize= 1.000000 
-dualbound = 3787442.550913, lowerbound=1310012.550913, norm of subgrad 1145.045218	dualbound = 3787442.550913, lowerbound=1310012.550913, norm of subgrad 34.617912	 stepsize= 1.000000 
-dualbound = 3787485.668726, lowerbound=1307335.668726, norm of subgrad 1143.891021	dualbound = 3787485.668726, lowerbound=1307335.668726, norm of subgrad 34.556010	 stepsize= 1.000000 
-dualbound = 3787531.241003, lowerbound=1308689.241003, norm of subgrad 1144.477715	dualbound = 3787531.241003, lowerbound=1308689.241003, norm of subgrad 34.432140	 stepsize= 1.000000 
-dualbound = 3787599.611540, lowerbound=1312112.611540, norm of subgrad 1145.986305	dualbound = 3787599.611540, lowerbound=1312112.611540, norm of subgrad 35.218895	 stepsize= 1.000000 
-dualbound = 3787638.660565, lowerbound=1313475.660565, norm of subgrad 1146.579548	dualbound = 3787638.660565, lowerbound=1313475.660565, norm of subgrad 34.757000	 stepsize= 1.000000 
-dualbound = 3787707.272942, lowerbound=1313529.272942, norm of subgrad 1146.587229	dualbound = 3787707.272942, lowerbound=1313529.272942, norm of subgrad 34.664281	 stepsize= 1.000000 
-dualbound = 3787781.537107, lowerbound=1307387.537107, norm of subgrad 1143.894461	dualbound = 3787781.537107, lowerbound=1307387.537107, norm of subgrad 34.369524	 stepsize= 1.000000 
-dualbound = 3787846.903412, lowerbound=1309690.903412, norm of subgrad 1144.889909	dualbound = 3787846.903412, lowerbound=1309690.903412, norm of subgrad 33.872796	 stepsize= 1.000000 
-dualbound = 3787903.194646, lowerbound=1306738.194646, norm of subgrad 1143.592670	dualbound = 3787903.194646, lowerbound=1306738.194646, norm of subgrad 33.500615	 stepsize= 1.000000 
-dualbound = 3787951.960292, lowerbound=1310672.960292, norm of subgrad 1145.375467	dualbound = 3787951.960292, lowerbound=1310672.960292, norm of subgrad 35.507262	 stepsize= 1.000000 
-dualbound = 3787978.344313, lowerbound=1313748.344313, norm of subgrad 1146.704122	dualbound = 3787978.344313, lowerbound=1313748.344313, norm of subgrad 34.761818	 stepsize= 1.000000 
-dualbound = 3788032.180577, lowerbound=1309857.180577, norm of subgrad 1144.992219	dualbound = 3788032.180577, lowerbound=1309857.180577, norm of subgrad 34.696344	 stepsize= 1.000000 
-dualbound = 3788099.451330, lowerbound=1316716.451330, norm of subgrad 1147.981468	dualbound = 3788099.451330, lowerbound=1316716.451330, norm of subgrad 34.817679	 stepsize= 1.000000 
-dualbound = 3788159.145316, lowerbound=1309389.145316, norm of subgrad 1144.760300	dualbound = 3788159.145316, lowerbound=1309389.145316, norm of subgrad 33.862870	 stepsize= 1.000000 
-dualbound = 3788228.369522, lowerbound=1316258.369522, norm of subgrad 1147.795003	dualbound = 3788228.369522, lowerbound=1316258.369522, norm of subgrad 35.273562	 stepsize= 1.000000 
-dualbound = 3788254.308257, lowerbound=1310624.308257, norm of subgrad 1145.341568	dualbound = 3788254.308257, lowerbound=1310624.308257, norm of subgrad 34.769796	 stepsize= 1.000000 
-dualbound = 3788313.617688, lowerbound=1307198.617688, norm of subgrad 1143.834174	dualbound = 3788313.617688, lowerbound=1307198.617688, norm of subgrad 34.889962	 stepsize= 1.000000 
-dualbound = 3788356.403941, lowerbound=1307633.403941, norm of subgrad 1144.043882	dualbound = 3788356.403941, lowerbound=1307633.403941, norm of subgrad 35.295697	 stepsize= 1.000000 
-dualbound = 3788456.660525, lowerbound=1315903.660525, norm of subgrad 1147.646139	dualbound = 3788456.660525, lowerbound=1315903.660525, norm of subgrad 35.892291	 stepsize= 1.000000 
-dualbound = 3788473.544774, lowerbound=1308762.544774, norm of subgrad 1144.531583	dualbound = 3788473.544774, lowerbound=1308762.544774, norm of subgrad 34.740240	 stepsize= 1.000000 
-dualbound = 3788550.512826, lowerbound=1318883.512826, norm of subgrad 1148.926243	dualbound = 3788550.512826, lowerbound=1318883.512826, norm of subgrad 34.999544	 stepsize= 1.000000 
-dualbound = 3788608.547066, lowerbound=1304581.547066, norm of subgrad 1142.694424	dualbound = 3788608.547066, lowerbound=1304581.547066, norm of subgrad 35.029049	 stepsize= 1.000000 
-dualbound = 3788660.013957, lowerbound=1315325.013957, norm of subgrad 1147.370914	dualbound = 3788660.013957, lowerbound=1315325.013957, norm of subgrad 34.445129	 stepsize= 1.000000 
-dualbound = 3788730.255855, lowerbound=1312318.255855, norm of subgrad 1146.036324	dualbound = 3788730.255855, lowerbound=1312318.255855, norm of subgrad 33.929956	 stepsize= 1.000000 
-dualbound = 3788803.310640, lowerbound=1312382.310640, norm of subgrad 1146.068633	dualbound = 3788803.310640, lowerbound=1312382.310640, norm of subgrad 34.118247	 stepsize= 1.000000 
-dualbound = 3788825.163394, lowerbound=1308852.163394, norm of subgrad 1144.559812	dualbound = 3788825.163394, lowerbound=1308852.163394, norm of subgrad 34.450729	 stepsize= 1.000000 
-dualbound = 3788904.766767, lowerbound=1310692.766767, norm of subgrad 1145.344388	dualbound = 3788904.766767, lowerbound=1310692.766767, norm of subgrad 34.649724	 stepsize= 1.000000 
-dualbound = 3788958.782090, lowerbound=1311739.782090, norm of subgrad 1145.811844	dualbound = 3788958.782090, lowerbound=1311739.782090, norm of subgrad 34.626801	 stepsize= 1.000000 
-dualbound = 3788999.078055, lowerbound=1310754.078055, norm of subgrad 1145.379884	dualbound = 3788999.078055, lowerbound=1310754.078055, norm of subgrad 34.369986	 stepsize= 1.000000 
-dualbound = 3789081.465270, lowerbound=1310678.465270, norm of subgrad 1145.335525	dualbound = 3789081.465270, lowerbound=1310678.465270, norm of subgrad 34.603283	 stepsize= 1.000000 
-dualbound = 3789113.052492, lowerbound=1311227.052492, norm of subgrad 1145.621252	dualbound = 3789113.052492, lowerbound=1311227.052492, norm of subgrad 35.391909	 stepsize= 1.000000 
-dualbound = 3789143.778340, lowerbound=1312686.778340, norm of subgrad 1146.259036	dualbound = 3789143.778340, lowerbound=1312686.778340, norm of subgrad 35.407991	 stepsize= 1.000000 
-dualbound = 3789200.546857, lowerbound=1316534.546857, norm of subgrad 1147.924887	dualbound = 3789200.546857, lowerbound=1316534.546857, norm of subgrad 35.408594	 stepsize= 1.000000 
-dualbound = 3789284.431977, lowerbound=1314894.431977, norm of subgrad 1147.198950	dualbound = 3789284.431977, lowerbound=1314894.431977, norm of subgrad 35.424358	 stepsize= 1.000000 
-dualbound = 3789329.479692, lowerbound=1310043.479692, norm of subgrad 1145.068330	dualbound = 3789329.479692, lowerbound=1310043.479692, norm of subgrad 34.395461	 stepsize= 1.000000 
-dualbound = 3789406.095244, lowerbound=1313797.095244, norm of subgrad 1146.713606	dualbound = 3789406.095244, lowerbound=1313797.095244, norm of subgrad 35.094381	 stepsize= 1.000000 
-dualbound = 3789463.963814, lowerbound=1304077.963814, norm of subgrad 1142.448670	dualbound = 3789463.963814, lowerbound=1304077.963814, norm of subgrad 34.188720	 stepsize= 1.000000 
-dualbound = 3789530.223647, lowerbound=1316361.223647, norm of subgrad 1147.834145	dualbound = 3789530.223647, lowerbound=1316361.223647, norm of subgrad 35.046538	 stepsize= 1.000000 
-dualbound = 3789557.834219, lowerbound=1312366.834219, norm of subgrad 1146.099400	dualbound = 3789557.834219, lowerbound=1312366.834219, norm of subgrad 34.707500	 stepsize= 1.000000 
-dualbound = 3789627.948634, lowerbound=1314356.948634, norm of subgrad 1146.962488	dualbound = 3789627.948634, lowerbound=1314356.948634, norm of subgrad 35.158419	 stepsize= 1.000000 
-dualbound = 3789673.945488, lowerbound=1312717.945488, norm of subgrad 1146.267397	dualbound = 3789673.945488, lowerbound=1312717.945488, norm of subgrad 35.454151	 stepsize= 1.000000 
-dualbound = 3789753.101661, lowerbound=1311289.101661, norm of subgrad 1145.595959	dualbound = 3789753.101661, lowerbound=1311289.101661, norm of subgrad 34.353401	 stepsize= 1.000000 
-dualbound = 3789826.129463, lowerbound=1307917.129463, norm of subgrad 1144.129420	dualbound = 3789826.129463, lowerbound=1307917.129463, norm of subgrad 34.467779	 stepsize= 1.000000 
-dualbound = 3789859.988929, lowerbound=1309198.988929, norm of subgrad 1144.713060	dualbound = 3789859.988929, lowerbound=1309198.988929, norm of subgrad 34.682264	 stepsize= 1.000000 
-dualbound = 3789901.084527, lowerbound=1313908.084527, norm of subgrad 1146.761564	dualbound = 3789901.084527, lowerbound=1313908.084527, norm of subgrad 34.570155	 stepsize= 1.000000 
-dualbound = 3789955.146668, lowerbound=1309012.146668, norm of subgrad 1144.625330	dualbound = 3789955.146668, lowerbound=1309012.146668, norm of subgrad 34.771571	 stepsize= 1.000000 
-dualbound = 3790038.228642, lowerbound=1313798.228642, norm of subgrad 1146.713229	dualbound = 3790038.228642, lowerbound=1313798.228642, norm of subgrad 35.157957	 stepsize= 1.000000 
-dualbound = 3790092.142538, lowerbound=1308327.142538, norm of subgrad 1144.324754	dualbound = 3790092.142538, lowerbound=1308327.142538, norm of subgrad 34.726271	 stepsize= 1.000000 
-dualbound = 3790126.298179, lowerbound=1309621.298179, norm of subgrad 1144.891391	dualbound = 3790126.298179, lowerbound=1309621.298179, norm of subgrad 34.484136	 stepsize= 1.000000 
-dualbound = 3790201.179868, lowerbound=1308905.179868, norm of subgrad 1144.580351	dualbound = 3790201.179868, lowerbound=1308905.179868, norm of subgrad 35.126652	 stepsize= 1.000000 
-dualbound = 3790257.540585, lowerbound=1309925.540585, norm of subgrad 1144.974908	dualbound = 3790257.540585, lowerbound=1309925.540585, norm of subgrad 33.141526	 stepsize= 1.000000 
-dualbound = 3790339.220558, lowerbound=1307070.220558, norm of subgrad 1143.781981	dualbound = 3790339.220558, lowerbound=1307070.220558, norm of subgrad 35.336666	 stepsize= 1.000000 
-dualbound = 3790338.568789, lowerbound=1308441.568789, norm of subgrad 1144.387858	dualbound = 3790338.568789, lowerbound=1308441.568789, norm of subgrad 34.370747	 stepsize= 1.000000 
-dualbound = 3790439.806824, lowerbound=1315011.806824, norm of subgrad 1147.232238	dualbound = 3790439.806824, lowerbound=1315011.806824, norm of subgrad 35.089002	 stepsize= 1.000000 
-dualbound = 3790476.429543, lowerbound=1306795.429543, norm of subgrad 1143.656605	dualbound = 3790476.429543, lowerbound=1306795.429543, norm of subgrad 34.519889	 stepsize= 1.000000 
-dualbound = 3790530.101594, lowerbound=1316385.101594, norm of subgrad 1147.853693	dualbound = 3790530.101594, lowerbound=1316385.101594, norm of subgrad 35.166348	 stepsize= 1.000000 
-dualbound = 3790595.712863, lowerbound=1309502.712863, norm of subgrad 1144.820821	dualbound = 3790595.712863, lowerbound=1309502.712863, norm of subgrad 34.316341	 stepsize= 1.000000 
-dualbound = 3790658.326074, lowerbound=1307724.326074, norm of subgrad 1144.065700	dualbound = 3790658.326074, lowerbound=1307724.326074, norm of subgrad 34.994474	 stepsize= 1.000000 
-dualbound = 3790697.299116, lowerbound=1313437.299116, norm of subgrad 1146.566308	dualbound = 3790697.299116, lowerbound=1313437.299116, norm of subgrad 34.870805	 stepsize= 1.000000 
-dualbound = 3790769.379823, lowerbound=1314684.379823, norm of subgrad 1147.086910	dualbound = 3790769.379823, lowerbound=1314684.379823, norm of subgrad 34.584400	 stepsize= 1.000000 
-dualbound = 3790818.609681, lowerbound=1315733.609681, norm of subgrad 1147.559850	dualbound = 3790818.609681, lowerbound=1315733.609681, norm of subgrad 34.773982	 stepsize= 1.000000 
-dualbound = 3790855.235978, lowerbound=1310326.235978, norm of subgrad 1145.187861	dualbound = 3790855.235978, lowerbound=1310326.235978, norm of subgrad 34.141270	 stepsize= 1.000000 
-dualbound = 3790942.244168, lowerbound=1313254.244168, norm of subgrad 1146.448971	dualbound = 3790942.244168, lowerbound=1313254.244168, norm of subgrad 34.322124	 stepsize= 1.000000 
-dualbound = 3790982.264774, lowerbound=1314998.264774, norm of subgrad 1147.267303	dualbound = 3790982.264774, lowerbound=1314998.264774, norm of subgrad 35.553067	 stepsize= 1.000000 
-dualbound = 3791004.353187, lowerbound=1314206.353187, norm of subgrad 1146.905120	dualbound = 3791004.353187, lowerbound=1314206.353187, norm of subgrad 34.743178	 stepsize= 1.000000 
-dualbound = 3791084.276175, lowerbound=1314744.276175, norm of subgrad 1147.098198	dualbound = 3791084.276175, lowerbound=1314744.276175, norm of subgrad 34.204137	 stepsize= 1.000000 
-dualbound = 3791163.195245, lowerbound=1310881.195245, norm of subgrad 1145.393467	dualbound = 3791163.195245, lowerbound=1310881.195245, norm of subgrad 33.524902	 stepsize= 1.000000 
-dualbound = 3791235.112374, lowerbound=1311133.112374, norm of subgrad 1145.521328	dualbound = 3791235.112374, lowerbound=1311133.112374, norm of subgrad 34.028181	 stepsize= 1.000000 
-dualbound = 3791261.474329, lowerbound=1311738.474329, norm of subgrad 1145.797309	dualbound = 3791261.474329, lowerbound=1311738.474329, norm of subgrad 33.754436	 stepsize= 1.000000 
-dualbound = 3791331.791489, lowerbound=1311488.791489, norm of subgrad 1145.706241	dualbound = 3791331.791489, lowerbound=1311488.791489, norm of subgrad 34.990244	 stepsize= 1.000000 
-dualbound = 3791375.712569, lowerbound=1315815.712569, norm of subgrad 1147.587780	dualbound = 3791375.712569, lowerbound=1315815.712569, norm of subgrad 34.437205	 stepsize= 1.000000 
-dualbound = 3791425.757710, lowerbound=1305943.757710, norm of subgrad 1143.289446	dualbound = 3791425.757710, lowerbound=1305943.757710, norm of subgrad 34.886174	 stepsize= 1.000000 
-dualbound = 3791481.985149, lowerbound=1310657.985149, norm of subgrad 1145.358016	dualbound = 3791481.985149, lowerbound=1310657.985149, norm of subgrad 35.259431	 stepsize= 1.000000 
-dualbound = 3791531.036918, lowerbound=1309068.036918, norm of subgrad 1144.674206	dualbound = 3791531.036918, lowerbound=1309068.036918, norm of subgrad 35.497208	 stepsize= 1.000000 
-dualbound = 3791581.461475, lowerbound=1317314.461475, norm of subgrad 1148.271946	dualbound = 3791581.461475, lowerbound=1317314.461475, norm of subgrad 35.558748	 stepsize= 1.000000 
-dualbound = 3791644.229277, lowerbound=1308738.229277, norm of subgrad 1144.499117	dualbound = 3791644.229277, lowerbound=1308738.229277, norm of subgrad 34.680943	 stepsize= 1.000000 
-dualbound = 3791734.273779, lowerbound=1305248.273779, norm of subgrad 1142.975185	dualbound = 3791734.273779, lowerbound=1305248.273779, norm of subgrad 35.128970	 stepsize= 1.000000 
-dualbound = 3791746.656367, lowerbound=1311617.656367, norm of subgrad 1145.750259	dualbound = 3791746.656367, lowerbound=1311617.656367, norm of subgrad 33.739926	 stepsize= 1.000000 
-dualbound = 3791836.930313, lowerbound=1311582.930313, norm of subgrad 1145.719394	dualbound = 3791836.930313, lowerbound=1311582.930313, norm of subgrad 34.355115	 stepsize= 1.000000 
-dualbound = 3791891.074116, lowerbound=1310803.074116, norm of subgrad 1145.390359	dualbound = 3791891.074116, lowerbound=1310803.074116, norm of subgrad 34.207365	 stepsize= 1.000000 
-dualbound = 3791936.613140, lowerbound=1308816.613140, norm of subgrad 1144.544282	dualbound = 3791936.613140, lowerbound=1308816.613140, norm of subgrad 34.792801	 stepsize= 1.000000 
-dualbound = 3791989.289195, lowerbound=1318764.289195, norm of subgrad 1148.879145	dualbound = 3791989.289195, lowerbound=1318764.289195, norm of subgrad 34.809138	 stepsize= 1.000000 
-dualbound = 3792037.403175, lowerbound=1312440.403175, norm of subgrad 1146.105756	dualbound = 3792037.403175, lowerbound=1312440.403175, norm of subgrad 34.148411	 stepsize= 1.000000 
-dualbound = 3792101.844973, lowerbound=1308393.844973, norm of subgrad 1144.363511	dualbound = 3792101.844973, lowerbound=1308393.844973, norm of subgrad 35.191502	 stepsize= 1.000000 
-dualbound = 3792151.578797, lowerbound=1313266.578797, norm of subgrad 1146.500580	dualbound = 3792151.578797, lowerbound=1313266.578797, norm of subgrad 35.309118	 stepsize= 1.000000 
-dualbound = 3792201.201711, lowerbound=1312177.201711, norm of subgrad 1146.027138	dualbound = 3792201.201711, lowerbound=1312177.201711, norm of subgrad 35.364147	 stepsize= 1.000000 
-dualbound = 3792254.457944, lowerbound=1312122.457944, norm of subgrad 1145.989292	dualbound = 3792254.457944, lowerbound=1312122.457944, norm of subgrad 34.960781	 stepsize= 1.000000 
-dualbound = 3792336.419489, lowerbound=1311835.419489, norm of subgrad 1145.847904	dualbound = 3792336.419489, lowerbound=1311835.419489, norm of subgrad 34.841951	 stepsize= 1.000000 
-dualbound = 3792383.326187, lowerbound=1314388.326187, norm of subgrad 1146.963524	dualbound = 3792383.326187, lowerbound=1314388.326187, norm of subgrad 34.407945	 stepsize= 1.000000 
-dualbound = 3792444.191405, lowerbound=1311356.191405, norm of subgrad 1145.652300	dualbound = 3792444.191405, lowerbound=1311356.191405, norm of subgrad 34.983785	 stepsize= 1.000000 
-dualbound = 3792492.243126, lowerbound=1309535.243126, norm of subgrad 1144.831098	dualbound = 3792492.243126, lowerbound=1309535.243126, norm of subgrad 33.927153	 stepsize= 1.000000 
-dualbound = 3792565.434697, lowerbound=1309399.434697, norm of subgrad 1144.751691	dualbound = 3792565.434697, lowerbound=1309399.434697, norm of subgrad 33.618322	 stepsize= 1.000000 
-dualbound = 3792638.435487, lowerbound=1306827.435487, norm of subgrad 1143.636059	dualbound = 3792638.435487, lowerbound=1306827.435487, norm of subgrad 33.896914	 stepsize= 1.000000 
-dualbound = 3792661.369947, lowerbound=1311161.369947, norm of subgrad 1145.553739	dualbound = 3792661.369947, lowerbound=1311161.369947, norm of subgrad 33.984327	 stepsize= 1.000000 
-dualbound = 3792723.315873, lowerbound=1307869.315873, norm of subgrad 1144.134746	dualbound = 3792723.315873, lowerbound=1307869.315873, norm of subgrad 35.170242	 stepsize= 1.000000 
-dualbound = 3792778.198541, lowerbound=1318264.198541, norm of subgrad 1148.643634	dualbound = 3792778.198541, lowerbound=1318264.198541, norm of subgrad 34.247375	 stepsize= 1.000000 
-dualbound = 3792840.153588, lowerbound=1308230.153588, norm of subgrad 1144.280190	dualbound = 3792840.153588, lowerbound=1308230.153588, norm of subgrad 34.770031	 stepsize= 1.000000 
-dualbound = 3792871.009668, lowerbound=1313670.009668, norm of subgrad 1146.676070	dualbound = 3792871.009668, lowerbound=1313670.009668, norm of subgrad 35.026505	 stepsize= 1.000000 
-dualbound = 3792923.448097, lowerbound=1307454.448097, norm of subgrad 1143.956926	dualbound = 3792923.448097, lowerbound=1307454.448097, norm of subgrad 35.148804	 stepsize= 1.000000 
-dualbound = 3792990.023015, lowerbound=1312390.023015, norm of subgrad 1146.108644	dualbound = 3792990.023015, lowerbound=1312390.023015, norm of subgrad 35.235989	 stepsize= 1.000000 
-dualbound = 3793054.085082, lowerbound=1309008.085082, norm of subgrad 1144.636224	dualbound = 3793054.085082, lowerbound=1309008.085082, norm of subgrad 35.327922	 stepsize= 1.000000 
-dualbound = 3793100.452579, lowerbound=1314433.452579, norm of subgrad 1146.985376	dualbound = 3793100.452579, lowerbound=1314433.452579, norm of subgrad 34.472707	 stepsize= 1.000000 
-dualbound = 3793175.347130, lowerbound=1310195.347130, norm of subgrad 1145.135078	dualbound = 3793175.347130, lowerbound=1310195.347130, norm of subgrad 34.840990	 stepsize= 1.000000 
-dualbound = 3793218.316860, lowerbound=1314745.316860, norm of subgrad 1147.105190	dualbound = 3793218.316860, lowerbound=1314745.316860, norm of subgrad 33.881702	 stepsize= 1.000000 
-dualbound = 3793314.915639, lowerbound=1312154.915639, norm of subgrad 1145.974658	dualbound = 3793314.915639, lowerbound=1312154.915639, norm of subgrad 34.635225	 stepsize= 1.000000 
-dualbound = 3793343.098473, lowerbound=1312905.098473, norm of subgrad 1146.330275	dualbound = 3793343.098473, lowerbound=1312905.098473, norm of subgrad 34.585876	 stepsize= 1.000000 
-dualbound = 3793397.297495, lowerbound=1311279.297495, norm of subgrad 1145.601719	dualbound = 3793397.297495, lowerbound=1311279.297495, norm of subgrad 34.324904	 stepsize= 1.000000 
-dualbound = 3793450.761200, lowerbound=1314686.761200, norm of subgrad 1147.119768	dualbound = 3793450.761200, lowerbound=1314686.761200, norm of subgrad 35.361896	 stepsize= 1.000000 
-dualbound = 3793474.565453, lowerbound=1307805.565453, norm of subgrad 1144.121307	dualbound = 3793474.565453, lowerbound=1307805.565453, norm of subgrad 35.097069	 stepsize= 1.000000 
-dualbound = 3793563.648240, lowerbound=1317086.648240, norm of subgrad 1148.147485	dualbound = 3793563.648240, lowerbound=1317086.648240, norm of subgrad 35.285731	 stepsize= 1.000000 
-dualbound = 3793600.778732, lowerbound=1312819.778732, norm of subgrad 1146.297858	dualbound = 3793600.778732, lowerbound=1312819.778732, norm of subgrad 34.873063	 stepsize= 1.000000 
-dualbound = 3793662.396787, lowerbound=1315174.396787, norm of subgrad 1147.310942	dualbound = 3793662.396787, lowerbound=1315174.396787, norm of subgrad 34.779564	 stepsize= 1.000000 
-dualbound = 3793741.496650, lowerbound=1307806.496650, norm of subgrad 1144.074952	dualbound = 3793741.496650, lowerbound=1307806.496650, norm of subgrad 34.352582	 stepsize= 1.000000 
-dualbound = 3793790.607111, lowerbound=1313186.607111, norm of subgrad 1146.433429	dualbound = 3793790.607111, lowerbound=1313186.607111, norm of subgrad 34.236099	 stepsize= 1.000000 
-dualbound = 3793835.295298, lowerbound=1309472.295298, norm of subgrad 1144.821076	dualbound = 3793835.295298, lowerbound=1309472.295298, norm of subgrad 34.462852	 stepsize= 1.000000 
-dualbound = 3793914.253015, lowerbound=1313433.253015, norm of subgrad 1146.526168	dualbound = 3793914.253015, lowerbound=1313433.253015, norm of subgrad 34.175396	 stepsize= 1.000000 
-dualbound = 3793973.413420, lowerbound=1312978.413420, norm of subgrad 1146.308167	dualbound = 3793973.413420, lowerbound=1312978.413420, norm of subgrad 33.213859	 stepsize= 1.000000 
-dualbound = 3794016.782627, lowerbound=1311197.782627, norm of subgrad 1145.561776	dualbound = 3794016.782627, lowerbound=1311197.782627, norm of subgrad 34.020129	 stepsize= 1.000000 
-dualbound = 3794070.502280, lowerbound=1316759.502280, norm of subgrad 1148.024173	dualbound = 3794070.502280, lowerbound=1316759.502280, norm of subgrad 35.407904	 stepsize= 1.000000 
-dualbound = 3794088.422111, lowerbound=1308828.422111, norm of subgrad 1144.586573	dualbound = 3794088.422111, lowerbound=1308828.422111, norm of subgrad 35.607862	 stepsize= 1.000000 
-dualbound = 3794162.045098, lowerbound=1308629.045098, norm of subgrad 1144.447048	dualbound = 3794162.045098, lowerbound=1308629.045098, norm of subgrad 34.693270	 stepsize= 1.000000 
-dualbound = 3794234.893658, lowerbound=1310535.893658, norm of subgrad 1145.287690	dualbound = 3794234.893658, lowerbound=1310535.893658, norm of subgrad 34.940643	 stepsize= 1.000000 
-dualbound = 3794302.705275, lowerbound=1310744.705275, norm of subgrad 1145.367061	dualbound = 3794302.705275, lowerbound=1310744.705275, norm of subgrad 34.479148	 stepsize= 1.000000 
-dualbound = 3794343.101767, lowerbound=1313387.101767, norm of subgrad 1146.524357	dualbound = 3794343.101767, lowerbound=1313387.101767, norm of subgrad 34.225670	 stepsize= 1.000000 
-dualbound = 3794393.303448, lowerbound=1310944.303448, norm of subgrad 1145.468596	dualbound = 3794393.303448, lowerbound=1310944.303448, norm of subgrad 34.701609	 stepsize= 1.000000 
-dualbound = 3794455.033972, lowerbound=1311309.033972, norm of subgrad 1145.620807	dualbound = 3794455.033972, lowerbound=1311309.033972, norm of subgrad 34.637126	 stepsize= 1.000000 
-dualbound = 3794502.685920, lowerbound=1315359.685920, norm of subgrad 1147.396046	dualbound = 3794502.685920, lowerbound=1315359.685920, norm of subgrad 34.722499	 stepsize= 1.000000 
-dualbound = 3794547.673772, lowerbound=1310424.673772, norm of subgrad 1145.248302	dualbound = 3794547.673772, lowerbound=1310424.673772, norm of subgrad 34.842328	 stepsize= 1.000000 
-dualbound = 3794627.585186, lowerbound=1309999.585186, norm of subgrad 1145.059643	dualbound = 3794627.585186, lowerbound=1309999.585186, norm of subgrad 35.240764	 stepsize= 1.000000 
-dualbound = 3794668.739253, lowerbound=1319428.739253, norm of subgrad 1149.158274	dualbound = 3794668.739253, lowerbound=1319428.739253, norm of subgrad 34.309679	 stepsize= 1.000000 
-dualbound = 3794734.614748, lowerbound=1314389.614748, norm of subgrad 1146.979780	dualbound = 3794734.614748, lowerbound=1314389.614748, norm of subgrad 35.197663	 stepsize= 1.000000 
-dualbound = 3794765.855774, lowerbound=1314128.855775, norm of subgrad 1146.863050	dualbound = 3794765.855774, lowerbound=1314128.855775, norm of subgrad 34.601171	 stepsize= 1.000000 
-dualbound = 3794852.747147, lowerbound=1308156.747147, norm of subgrad 1144.253358	dualbound = 3794852.747147, lowerbound=1308156.747147, norm of subgrad 35.297186	 stepsize= 1.000000 
-dualbound = 3794911.630234, lowerbound=1310727.630234, norm of subgrad 1145.382744	dualbound = 3794911.630234, lowerbound=1310727.630234, norm of subgrad 35.112435	 stepsize= 1.000000 
-dualbound = 3794965.263910, lowerbound=1311886.263910, norm of subgrad 1145.871399	dualbound = 3794965.263910, lowerbound=1311886.263910, norm of subgrad 34.476567	 stepsize= 1.000000 
-dualbound = 3795018.887631, lowerbound=1311084.887631, norm of subgrad 1145.525594	dualbound = 3795018.887631, lowerbound=1311084.887631, norm of subgrad 34.606701	 stepsize= 1.000000 
-dualbound = 3795088.265770, lowerbound=1309281.265770, norm of subgrad 1144.706629	dualbound = 3795088.265770, lowerbound=1309281.265770, norm of subgrad 33.784288	 stepsize= 1.000000 
-dualbound = 3795167.563840, lowerbound=1316908.563840, norm of subgrad 1148.027684	dualbound = 3795167.563840, lowerbound=1316908.563840, norm of subgrad 33.738673	 stepsize= 1.000000 
-dualbound = 3795204.544804, lowerbound=1304137.544804, norm of subgrad 1142.511070	dualbound = 3795204.544804, lowerbound=1304137.544804, norm of subgrad 35.085338	 stepsize= 1.000000 
-dualbound = 3795239.628627, lowerbound=1313041.628627, norm of subgrad 1146.358421	dualbound = 3795239.628627, lowerbound=1313041.628627, norm of subgrad 33.631590	 stepsize= 1.000000 
-dualbound = 3795317.855581, lowerbound=1315298.855581, norm of subgrad 1147.352542	dualbound = 3795317.855581, lowerbound=1315298.855581, norm of subgrad 34.600968	 stepsize= 1.000000 
-dualbound = 3795372.645180, lowerbound=1314287.645180, norm of subgrad 1146.902195	dualbound = 3795372.645180, lowerbound=1314287.645180, norm of subgrad 33.938026	 stepsize= 1.000000 
-dualbound = 3795421.297110, lowerbound=1311187.297110, norm of subgrad 1145.551525	dualbound = 3795421.297110, lowerbound=1311187.297110, norm of subgrad 33.906518	 stepsize= 1.000000 
-dualbound = 3795501.904276, lowerbound=1307912.904276, norm of subgrad 1144.105285	dualbound = 3795501.904276, lowerbound=1307912.904276, norm of subgrad 33.832043	 stepsize= 1.000000 
-dualbound = 3795551.370515, lowerbound=1312564.370515, norm of subgrad 1146.152420	dualbound = 3795551.370515, lowerbound=1312564.370515, norm of subgrad 33.918524	 stepsize= 1.000000 
-dualbound = 3795607.776320, lowerbound=1314832.776320, norm of subgrad 1147.147670	dualbound = 3795607.776320, lowerbound=1314832.776320, norm of subgrad 34.225806	 stepsize= 1.000000 
-dualbound = 3795650.283993, lowerbound=1313496.283993, norm of subgrad 1146.559760	dualbound = 3795650.283993, lowerbound=1313496.283993, norm of subgrad 33.845349	 stepsize= 1.000000 
-dualbound = 3795711.688204, lowerbound=1313262.688204, norm of subgrad 1146.477077	dualbound = 3795711.688204, lowerbound=1313262.688204, norm of subgrad 34.762109	 stepsize= 1.000000 
-dualbound = 3795739.367968, lowerbound=1312279.367968, norm of subgrad 1146.049025	dualbound = 3795739.367968, lowerbound=1312279.367968, norm of subgrad 34.302766	 stepsize= 1.000000 
-dualbound = 3795832.301940, lowerbound=1313013.301940, norm of subgrad 1146.351300	dualbound = 3795832.301940, lowerbound=1313013.301940, norm of subgrad 34.654494	 stepsize= 1.000000 
-dualbound = 3795886.295832, lowerbound=1316645.295832, norm of subgrad 1147.943943	dualbound = 3795886.295832, lowerbound=1316645.295832, norm of subgrad 34.409212	 stepsize= 1.000000 
-dualbound = 3795944.119220, lowerbound=1309632.119220, norm of subgrad 1144.866857	dualbound = 3795944.119220, lowerbound=1309632.119220, norm of subgrad 33.850013	 stepsize= 1.000000 
-dualbound = 3795994.374030, lowerbound=1312209.374030, norm of subgrad 1146.005399	dualbound = 3795994.374030, lowerbound=1312209.374030, norm of subgrad 34.194368	 stepsize= 1.000000 
-dualbound = 3796051.717991, lowerbound=1312773.717991, norm of subgrad 1146.221496	dualbound = 3796051.717991, lowerbound=1312773.717991, norm of subgrad 33.276778	 stepsize= 1.000000 
-dualbound = 3796114.431648, lowerbound=1313982.431648, norm of subgrad 1146.787876	dualbound = 3796114.431648, lowerbound=1313982.431648, norm of subgrad 34.680162	 stepsize= 1.000000 
-dualbound = 3796150.893179, lowerbound=1311936.893179, norm of subgrad 1145.894800	dualbound = 3796150.893179, lowerbound=1311936.893179, norm of subgrad 34.270418	 stepsize= 1.000000 
-dualbound = 3796186.305027, lowerbound=1315116.305027, norm of subgrad 1147.309594	dualbound = 3796186.305027, lowerbound=1315116.305027, norm of subgrad 35.191076	 stepsize= 1.000000 
-dualbound = 3796253.407828, lowerbound=1309092.407828, norm of subgrad 1144.645538	dualbound = 3796253.407828, lowerbound=1309092.407828, norm of subgrad 34.468867	 stepsize= 1.000000 
-dualbound = 3796334.001427, lowerbound=1313031.001427, norm of subgrad 1146.374721	dualbound = 3796334.001427, lowerbound=1313031.001427, norm of subgrad 34.994194	 stepsize= 1.000000 
-dualbound = 3796368.235237, lowerbound=1311715.235237, norm of subgrad 1145.810296	dualbound = 3796368.235237, lowerbound=1311715.235237, norm of subgrad 34.644391	 stepsize= 1.000000 
-dualbound = 3796419.624918, lowerbound=1314937.624918, norm of subgrad 1147.217776	dualbound = 3796419.624918, lowerbound=1314937.624918, norm of subgrad 34.962690	 stepsize= 1.000000 
-dualbound = 3796482.552014, lowerbound=1312682.552014, norm of subgrad 1146.208337	dualbound = 3796482.552014, lowerbound=1312682.552014, norm of subgrad 34.262620	 stepsize= 1.000000 
-dualbound = 3796556.622891, lowerbound=1308371.622891, norm of subgrad 1144.329333	dualbound = 3796556.622891, lowerbound=1308371.622891, norm of subgrad 34.526379	 stepsize= 1.000000 
-dualbound = 3796596.368137, lowerbound=1312886.368137, norm of subgrad 1146.320796	dualbound = 3796596.368137, lowerbound=1312886.368137, norm of subgrad 34.709440	 stepsize= 1.000000 
-dualbound = 3796659.885464, lowerbound=1314829.885464, norm of subgrad 1147.152512	dualbound = 3796659.885464, lowerbound=1314829.885464, norm of subgrad 34.532844	 stepsize= 1.000000 
-dualbound = 3796705.187202, lowerbound=1312126.187202, norm of subgrad 1145.980884	dualbound = 3796705.187202, lowerbound=1312126.187202, norm of subgrad 34.515239	 stepsize= 1.000000 
-dualbound = 3796769.272130, lowerbound=1311665.272130, norm of subgrad 1145.774529	dualbound = 3796769.272130, lowerbound=1311665.272130, norm of subgrad 34.613363	 stepsize= 1.000000 
-dualbound = 3796838.235825, lowerbound=1313301.235825, norm of subgrad 1146.459871	dualbound = 3796838.235825, lowerbound=1313301.235825, norm of subgrad 33.733717	 stepsize= 1.000000 
-dualbound = 3796899.437548, lowerbound=1313773.437548, norm of subgrad 1146.706779	dualbound = 3796899.437548, lowerbound=1313773.437548, norm of subgrad 34.988594	 stepsize= 1.000000 
-dualbound = 3796936.324541, lowerbound=1313417.324541, norm of subgrad 1146.524891	dualbound = 3796936.324541, lowerbound=1313417.324541, norm of subgrad 33.747400	 stepsize= 1.000000 
-dualbound = 3797015.913560, lowerbound=1315539.913560, norm of subgrad 1147.453229	dualbound = 3797015.913560, lowerbound=1315539.913560, norm of subgrad 34.475919	 stepsize= 1.000000 
-dualbound = 3797050.697031, lowerbound=1311581.697031, norm of subgrad 1145.768605	dualbound = 3797050.697031, lowerbound=1311581.697031, norm of subgrad 35.196356	 stepsize= 1.000000 
-dualbound = 3797069.575304, lowerbound=1313460.575304, norm of subgrad 1146.570353	dualbound = 3797069.575304, lowerbound=1313460.575304, norm of subgrad 34.378457	 stepsize= 1.000000 
-dualbound = 3797177.398230, lowerbound=1309600.398230, norm of subgrad 1144.864358	dualbound = 3797177.398230, lowerbound=1309600.398230, norm of subgrad 34.954584	 stepsize= 1.000000 
-dualbound = 3797216.696627, lowerbound=1318895.696627, norm of subgrad 1148.938944	dualbound = 3797216.696627, lowerbound=1318895.696627, norm of subgrad 34.703003	 stepsize= 1.000000 
-dualbound = 3797260.261056, lowerbound=1307094.261056, norm of subgrad 1143.785933	dualbound = 3797260.261056, lowerbound=1307094.261056, norm of subgrad 34.576935	 stepsize= 1.000000 
-dualbound = 3797315.127342, lowerbound=1309951.127342, norm of subgrad 1145.042413	dualbound = 3797315.127342, lowerbound=1309951.127342, norm of subgrad 35.012373	 stepsize= 1.000000 
-dualbound = 3797374.406599, lowerbound=1308178.406599, norm of subgrad 1144.268940	dualbound = 3797374.406599, lowerbound=1308178.406599, norm of subgrad 35.103835	 stepsize= 1.000000 
-dualbound = 3797415.714701, lowerbound=1314981.714701, norm of subgrad 1147.217815	dualbound = 3797415.714701, lowerbound=1314981.714701, norm of subgrad 34.180522	 stepsize= 1.000000 
-dualbound = 3797476.837146, lowerbound=1311043.837146, norm of subgrad 1145.501129	dualbound = 3797476.837146, lowerbound=1311043.837146, norm of subgrad 34.498151	 stepsize= 1.000000 
-dualbound = 3797538.614195, lowerbound=1310517.614195, norm of subgrad 1145.265740	dualbound = 3797538.614195, lowerbound=1310517.614195, norm of subgrad 34.318757	 stepsize= 1.000000 
-dualbound = 3797614.132308, lowerbound=1310699.132308, norm of subgrad 1145.338436	dualbound = 3797614.132308, lowerbound=1310699.132308, norm of subgrad 34.300410	 stepsize= 1.000000 
-dualbound = 3797636.573557, lowerbound=1314126.573557, norm of subgrad 1146.884725	dualbound = 3797636.573557, lowerbound=1314126.573557, norm of subgrad 35.219898	 stepsize= 1.000000 
-dualbound = 3797697.617653, lowerbound=1307534.617653, norm of subgrad 1143.969675	dualbound = 3797697.617653, lowerbound=1307534.617653, norm of subgrad 34.540470	 stepsize= 1.000000 
-dualbound = 3797787.414304, lowerbound=1313222.414304, norm of subgrad 1146.438142	dualbound = 3797787.414304, lowerbound=1313222.414304, norm of subgrad 34.464426	 stepsize= 1.000000 
-dualbound = 3797845.194190, lowerbound=1313754.194190, norm of subgrad 1146.674842	dualbound = 3797845.194190, lowerbound=1313754.194190, norm of subgrad 34.158160	 stepsize= 1.000000 
-dualbound = 3797903.255372, lowerbound=1314172.255372, norm of subgrad 1146.851017	dualbound = 3797903.255372, lowerbound=1314172.255372, norm of subgrad 33.956755	 stepsize= 1.000000 
-dualbound = 3797957.920381, lowerbound=1307967.920381, norm of subgrad 1144.138069	dualbound = 3797957.920381, lowerbound=1307967.920381, norm of subgrad 33.744111	 stepsize= 1.000000 
-dualbound = 3798002.798734, lowerbound=1315568.798734, norm of subgrad 1147.479760	dualbound = 3798002.798734, lowerbound=1315568.798734, norm of subgrad 34.436585	 stepsize= 1.000000 
-dualbound = 3798046.224926, lowerbound=1311757.224926, norm of subgrad 1145.808546	dualbound = 3798046.224926, lowerbound=1311757.224926, norm of subgrad 34.109034	 stepsize= 1.000000 
-dualbound = 3798115.994656, lowerbound=1308144.994656, norm of subgrad 1144.232055	dualbound = 3798115.994656, lowerbound=1308144.994656, norm of subgrad 34.522018	 stepsize= 1.000000 
-dualbound = 3798156.757486, lowerbound=1317662.757486, norm of subgrad 1148.403569	dualbound = 3798156.757486, lowerbound=1317662.757486, norm of subgrad 34.767267	 stepsize= 1.000000 
-dualbound = 3798240.810726, lowerbound=1311572.810726, norm of subgrad 1145.744653	dualbound = 3798240.810726, lowerbound=1311572.810726, norm of subgrad 35.242776	 stepsize= 1.000000 
-dualbound = 3798265.872211, lowerbound=1319776.872211, norm of subgrad 1149.320178	dualbound = 3798265.872211, lowerbound=1319776.872211, norm of subgrad 34.424722	 stepsize= 1.000000 
-dualbound = 3798321.861382, lowerbound=1308699.861382, norm of subgrad 1144.484540	dualbound = 3798321.861382, lowerbound=1308699.861382, norm of subgrad 34.655291	 stepsize= 1.000000 
-dualbound = 3798364.333891, lowerbound=1315057.333891, norm of subgrad 1147.284330	dualbound = 3798364.333891, lowerbound=1315057.333891, norm of subgrad 35.305418	 stepsize= 1.000000 
-dualbound = 3798433.668264, lowerbound=1308446.668264, norm of subgrad 1144.386153	dualbound = 3798433.668264, lowerbound=1308446.668264, norm of subgrad 35.246764	 stepsize= 1.000000 
-dualbound = 3798469.249303, lowerbound=1312238.249303, norm of subgrad 1146.030213	dualbound = 3798469.249303, lowerbound=1312238.249303, norm of subgrad 34.388676	 stepsize= 1.000000 
-dualbound = 3798579.483463, lowerbound=1310419.483463, norm of subgrad 1145.215475	dualbound = 3798579.483463, lowerbound=1310419.483463, norm of subgrad 34.774044	 stepsize= 1.000000 
-dualbound = 3798611.575150, lowerbound=1319479.575150, norm of subgrad 1149.171256	dualbound = 3798611.575150, lowerbound=1319479.575150, norm of subgrad 33.868742	 stepsize= 1.000000 
-dualbound = 3798682.171367, lowerbound=1312543.171367, norm of subgrad 1146.140119	dualbound = 3798682.171367, lowerbound=1312543.171367, norm of subgrad 34.126181	 stepsize= 1.000000 
-dualbound = 3798727.844295, lowerbound=1312445.844295, norm of subgrad 1146.123398	dualbound = 3798727.844295, lowerbound=1312445.844295, norm of subgrad 34.621856	 stepsize= 1.000000 
-dualbound = 3798776.289296, lowerbound=1313221.289296, norm of subgrad 1146.468181	dualbound = 3798776.289296, lowerbound=1313221.289296, norm of subgrad 34.877572	 stepsize= 1.000000 
-dualbound = 3798824.907889, lowerbound=1313894.907889, norm of subgrad 1146.775439	dualbound = 3798824.907889, lowerbound=1313894.907889, norm of subgrad 35.321645	 stepsize= 1.000000 
-dualbound = 3798869.240282, lowerbound=1316679.240282, norm of subgrad 1147.972665	dualbound = 3798869.240282, lowerbound=1316679.240282, norm of subgrad 34.732296	 stepsize= 1.000000 
-dualbound = 3798948.655149, lowerbound=1309382.655149, norm of subgrad 1144.778867	dualbound = 3798948.655149, lowerbound=1309382.655149, norm of subgrad 34.862801	 stepsize= 1.000000 
-dualbound = 3799008.477351, lowerbound=1318025.477351, norm of subgrad 1148.532314	dualbound = 3799008.477351, lowerbound=1318025.477351, norm of subgrad 34.070841	 stepsize= 1.000000 
-dualbound = 3799074.985180, lowerbound=1309501.985180, norm of subgrad 1144.848455	dualbound = 3799074.985180, lowerbound=1309501.985180, norm of subgrad 35.249225	 stepsize= 1.000000 
-dualbound = 3799094.632322, lowerbound=1314630.632322, norm of subgrad 1147.070892	dualbound = 3799094.632322, lowerbound=1314630.632322, norm of subgrad 34.068272	 stepsize= 1.000000 
-dualbound = 3799173.654689, lowerbound=1308760.654689, norm of subgrad 1144.501924	dualbound = 3799173.654689, lowerbound=1308760.654689, norm of subgrad 34.684613	 stepsize= 1.000000 
-dualbound = 3799233.657493, lowerbound=1313827.657493, norm of subgrad 1146.722136	dualbound = 3799233.657493, lowerbound=1313827.657493, norm of subgrad 34.698744	 stepsize= 1.000000 
-dualbound = 3799263.369150, lowerbound=1311696.369150, norm of subgrad 1145.808173	dualbound = 3799263.369150, lowerbound=1311696.369150, norm of subgrad 34.780909	 stepsize= 1.000000 
-dualbound = 3799312.062224, lowerbound=1310518.062224, norm of subgrad 1145.281652	dualbound = 3799312.062224, lowerbound=1310518.062224, norm of subgrad 34.651018	 stepsize= 1.000000 
-dualbound = 3799388.191943, lowerbound=1314283.191943, norm of subgrad 1146.888483	dualbound = 3799388.191943, lowerbound=1314283.191943, norm of subgrad 33.854538	 stepsize= 1.000000 
-dualbound = 3799456.833024, lowerbound=1314342.833024, norm of subgrad 1146.943256	dualbound = 3799456.833024, lowerbound=1314342.833024, norm of subgrad 34.707940	 stepsize= 1.000000 
-dualbound = 3799458.478210, lowerbound=1315126.478210, norm of subgrad 1147.298775	dualbound = 3799458.478210, lowerbound=1315126.478210, norm of subgrad 34.200076	 stepsize= 1.000000 
-dualbound = 3799552.842587, lowerbound=1309769.842587, norm of subgrad 1144.917396	dualbound = 3799552.842587, lowerbound=1309769.842587, norm of subgrad 34.064122	 stepsize= 1.000000 
-dualbound = 3799598.448176, lowerbound=1308183.448176, norm of subgrad 1144.259782	dualbound = 3799598.448176, lowerbound=1308183.448176, norm of subgrad 34.534122	 stepsize= 1.000000 
-dualbound = 3799657.594710, lowerbound=1313574.594710, norm of subgrad 1146.600451	dualbound = 3799657.594710, lowerbound=1313574.594710, norm of subgrad 34.309569	 stepsize= 1.000000 
-dualbound = 3799720.229111, lowerbound=1313180.229111, norm of subgrad 1146.417999	dualbound = 3799720.229111, lowerbound=1313180.229111, norm of subgrad 34.009328	 stepsize= 1.000000 
-dualbound = 3799779.502456, lowerbound=1313053.502456, norm of subgrad 1146.385844	dualbound = 3799779.502456, lowerbound=1313053.502456, norm of subgrad 34.731446	 stepsize= 1.000000 
-dualbound = 3799823.017338, lowerbound=1316374.017338, norm of subgrad 1147.860626	dualbound = 3799823.017338, lowerbound=1316374.017338, norm of subgrad 35.405012	 stepsize= 1.000000 
-dualbound = 3799878.632639, lowerbound=1314997.632639, norm of subgrad 1147.249159	dualbound = 3799878.632639, lowerbound=1314997.632639, norm of subgrad 35.193967	 stepsize= 1.000000 
-dualbound = 3799932.169116, lowerbound=1311544.169116, norm of subgrad 1145.729099	dualbound = 3799932.169116, lowerbound=1311544.169116, norm of subgrad 34.706433	 stepsize= 1.000000 
-dualbound = 3799984.634449, lowerbound=1313739.634449, norm of subgrad 1146.692476	dualbound = 3799984.634449, lowerbound=1313739.634449, norm of subgrad 34.877863	 stepsize= 1.000000 
-dualbound = 3800038.561465, lowerbound=1312710.561465, norm of subgrad 1146.220555	dualbound = 3800038.561465, lowerbound=1312710.561465, norm of subgrad 34.131027	 stepsize= 1.000000 
-dualbound = 3800105.951331, lowerbound=1311685.951331, norm of subgrad 1145.796645	dualbound = 3800105.951331, lowerbound=1311685.951331, norm of subgrad 35.091165	 stepsize= 1.000000 
-dualbound = 3800129.095800, lowerbound=1316185.095800, norm of subgrad 1147.794884	dualbound = 3800129.095800, lowerbound=1316185.095800, norm of subgrad 35.653113	 stepsize= 1.000000 
-dualbound = 3800194.981155, lowerbound=1310489.981155, norm of subgrad 1145.267646	dualbound = 3800194.981155, lowerbound=1310489.981155, norm of subgrad 34.840858	 stepsize= 1.000000 
-dualbound = 3800255.921498, lowerbound=1315013.921498, norm of subgrad 1147.273255	dualbound = 3800255.921498, lowerbound=1315013.921498, norm of subgrad 35.818157	 stepsize= 1.000000 
-dualbound = 3800295.272402, lowerbound=1312667.272402, norm of subgrad 1146.205598	dualbound = 3800295.272402, lowerbound=1312667.272402, norm of subgrad 34.049242	 stepsize= 1.000000 
-dualbound = 3800384.461960, lowerbound=1312909.461960, norm of subgrad 1146.323018	dualbound = 3800384.461960, lowerbound=1312909.461960, norm of subgrad 35.159487	 stepsize= 1.000000 
-dualbound = 3800431.931752, lowerbound=1310731.931752, norm of subgrad 1145.374581	dualbound = 3800431.931752, lowerbound=1310731.931752, norm of subgrad 34.618922	 stepsize= 1.000000 
-dualbound = 3800489.128503, lowerbound=1312792.128503, norm of subgrad 1146.252210	dualbound = 3800489.128503, lowerbound=1312792.128503, norm of subgrad 34.046979	 stepsize= 1.000000 
-dualbound = 3800555.320692, lowerbound=1312448.320692, norm of subgrad 1146.073000	dualbound = 3800555.320692, lowerbound=1312448.320692, norm of subgrad 33.184216	 stepsize= 1.000000 
-dualbound = 3800619.261298, lowerbound=1313275.261298, norm of subgrad 1146.478199	dualbound = 3800619.261298, lowerbound=1313275.261298, norm of subgrad 34.654590	 stepsize= 1.000000 
-dualbound = 3800654.182503, lowerbound=1307655.182503, norm of subgrad 1144.015377	dualbound = 3800654.182503, lowerbound=1307655.182503, norm of subgrad 33.925230	 stepsize= 1.000000 
-dualbound = 3800710.905448, lowerbound=1317993.905448, norm of subgrad 1148.528583	dualbound = 3800710.905448, lowerbound=1317993.905448, norm of subgrad 34.361649	 stepsize= 1.000000 
-dualbound = 3800769.934665, lowerbound=1310911.934665, norm of subgrad 1145.438316	dualbound = 3800769.934665, lowerbound=1310911.934665, norm of subgrad 34.293282	 stepsize= 1.000000 
-dualbound = 3800817.661035, lowerbound=1313634.661035, norm of subgrad 1146.652371	dualbound = 3800817.661035, lowerbound=1313634.661035, norm of subgrad 34.996091	 stepsize= 1.000000 
-dualbound = 3800873.756793, lowerbound=1314802.756793, norm of subgrad 1147.149405	dualbound = 3800873.756793, lowerbound=1314802.756793, norm of subgrad 34.714489	 stepsize= 1.000000 
-dualbound = 3800935.516647, lowerbound=1316873.516647, norm of subgrad 1148.042036	dualbound = 3800935.516647, lowerbound=1316873.516647, norm of subgrad 34.478397	 stepsize= 1.000000 
-dualbound = 3800995.570908, lowerbound=1311971.570908, norm of subgrad 1145.912113	dualbound = 3800995.570908, lowerbound=1311971.570908, norm of subgrad 34.685073	 stepsize= 1.000000 
-dualbound = 3801041.683725, lowerbound=1312050.683725, norm of subgrad 1145.929616	dualbound = 3801041.683725, lowerbound=1312050.683725, norm of subgrad 33.913313	 stepsize= 1.000000 
-dualbound = 3801109.040839, lowerbound=1313397.040839, norm of subgrad 1146.533053	dualbound = 3801109.040839, lowerbound=1313397.040839, norm of subgrad 34.761431	 stepsize= 1.000000 
-dualbound = 3801155.726783, lowerbound=1312691.726783, norm of subgrad 1146.207541	dualbound = 3801155.726783, lowerbound=1312691.726783, norm of subgrad 33.862752	 stepsize= 1.000000 
-dualbound = 3801210.891969, lowerbound=1314145.891969, norm of subgrad 1146.867426	dualbound = 3801210.891969, lowerbound=1314145.891969, norm of subgrad 34.844873	 stepsize= 1.000000 
-dualbound = 3801246.194017, lowerbound=1313690.194017, norm of subgrad 1146.622080	dualbound = 3801246.194017, lowerbound=1313690.194017, norm of subgrad 32.974263	 stepsize= 1.000000 
-dualbound = 3801336.545733, lowerbound=1307296.545733, norm of subgrad 1143.846382	dualbound = 3801336.545733, lowerbound=1307296.545733, norm of subgrad 34.327128	 stepsize= 1.000000 
-dualbound = 3801371.110079, lowerbound=1318344.110079, norm of subgrad 1148.685819	dualbound = 3801371.110079, lowerbound=1318344.110079, norm of subgrad 34.198894	 stepsize= 1.000000 
-dualbound = 3801443.265177, lowerbound=1309748.265177, norm of subgrad 1144.913213	dualbound = 3801443.265177, lowerbound=1309748.265177, norm of subgrad 33.913937	 stepsize= 1.000000 
-dualbound = 3801478.694275, lowerbound=1314943.694275, norm of subgrad 1147.205167	dualbound = 3801478.694275, lowerbound=1314943.694275, norm of subgrad 34.226146	 stepsize= 1.000000 
-dualbound = 3801549.669389, lowerbound=1310146.669389, norm of subgrad 1145.132162	dualbound = 3801549.669389, lowerbound=1310146.669389, norm of subgrad 35.383260	 stepsize= 1.000000 
-dualbound = 3801584.108060, lowerbound=1311970.108060, norm of subgrad 1145.923692	dualbound = 3801584.108060, lowerbound=1311970.108060, norm of subgrad 34.719428	 stepsize= 1.000000 
-dualbound = 3801642.165816, lowerbound=1313126.165816, norm of subgrad 1146.419280	dualbound = 3801642.165816, lowerbound=1313126.165816, norm of subgrad 34.771508	 stepsize= 1.000000 
-dualbound = 3801706.243039, lowerbound=1313956.243039, norm of subgrad 1146.756837	dualbound = 3801706.243039, lowerbound=1313956.243039, norm of subgrad 34.045223	 stepsize= 1.000000 
-dualbound = 3801772.196277, lowerbound=1315813.196277, norm of subgrad 1147.591912	dualbound = 3801772.196277, lowerbound=1315813.196277, norm of subgrad 34.927829	 stepsize= 1.000000 
-dualbound = 3801816.994082, lowerbound=1312205.994082, norm of subgrad 1145.997380	dualbound = 3801816.994082, lowerbound=1312205.994082, norm of subgrad 33.893920	 stepsize= 1.000000 
-dualbound = 3801883.702352, lowerbound=1310175.702352, norm of subgrad 1145.120388	dualbound = 3801883.702352, lowerbound=1310175.702352, norm of subgrad 34.521128	 stepsize= 1.000000 
-dualbound = 3801939.837925, lowerbound=1313172.837925, norm of subgrad 1146.433966	dualbound = 3801939.837925, lowerbound=1313172.837925, norm of subgrad 34.556267	 stepsize= 1.000000 
-dualbound = 3801988.871861, lowerbound=1309771.871861, norm of subgrad 1144.927016	dualbound = 3801988.871861, lowerbound=1309771.871861, norm of subgrad 33.690265	 stepsize= 1.000000 
-dualbound = 3802072.240863, lowerbound=1317042.240863, norm of subgrad 1148.112033	dualbound = 3802072.240863, lowerbound=1317042.240863, norm of subgrad 34.675193	 stepsize= 1.000000 
-dualbound = 3802088.693578, lowerbound=1314763.693578, norm of subgrad 1147.124969	dualbound = 3802088.693578, lowerbound=1314763.693578, norm of subgrad 33.888829	 stepsize= 1.000000 
-dualbound = 3802173.325930, lowerbound=1310950.325930, norm of subgrad 1145.452455	dualbound = 3802173.325930, lowerbound=1310950.325930, norm of subgrad 34.577917	 stepsize= 1.000000 
-dualbound = 3802206.175845, lowerbound=1316974.175845, norm of subgrad 1148.105472	dualbound = 3802206.175845, lowerbound=1316974.175845, norm of subgrad 34.710948	 stepsize= 1.000000 
-dualbound = 3802277.301853, lowerbound=1310230.301853, norm of subgrad 1145.119776	dualbound = 3802277.301853, lowerbound=1310230.301853, norm of subgrad 33.765752	 stepsize= 1.000000 
-dualbound = 3802349.341947, lowerbound=1314704.341947, norm of subgrad 1147.088201	dualbound = 3802349.341947, lowerbound=1314704.341947, norm of subgrad 34.337153	 stepsize= 1.000000 
-dualbound = 3802378.390053, lowerbound=1313572.390053, norm of subgrad 1146.607339	dualbound = 3802378.390053, lowerbound=1313572.390053, norm of subgrad 34.132801	 stepsize= 1.000000 
-dualbound = 3802418.384431, lowerbound=1317866.384431, norm of subgrad 1148.507459	dualbound = 3802418.384431, lowerbound=1317866.384431, norm of subgrad 35.256125	 stepsize= 1.000000 
-dualbound = 3802476.386557, lowerbound=1313297.386557, norm of subgrad 1146.498315	dualbound = 3802476.386557, lowerbound=1313297.386557, norm of subgrad 34.914211	 stepsize= 1.000000 
-dualbound = 3802549.122347, lowerbound=1311556.122347, norm of subgrad 1145.709004	dualbound = 3802549.122347, lowerbound=1311556.122347, norm of subgrad 34.142873	 stepsize= 1.000000 
-dualbound = 3802596.100408, lowerbound=1319501.100408, norm of subgrad 1149.201506	dualbound = 3802596.100408, lowerbound=1319501.100408, norm of subgrad 34.784739	 stepsize= 1.000000 
-dualbound = 3802648.876671, lowerbound=1307036.876671, norm of subgrad 1143.748607	dualbound = 3802648.876671, lowerbound=1307036.876671, norm of subgrad 34.304173	 stepsize= 1.000000 
-dualbound = 3802697.371370, lowerbound=1319195.371370, norm of subgrad 1149.059342	dualbound = 3802697.371370, lowerbound=1319195.371370, norm of subgrad 34.503546	 stepsize= 1.000000 
-dualbound = 3802764.288250, lowerbound=1308472.288250, norm of subgrad 1144.353655	dualbound = 3802764.288250, lowerbound=1308472.288250, norm of subgrad 33.762655	 stepsize= 1.000000 
-dualbound = 3802811.836549, lowerbound=1315192.836549, norm of subgrad 1147.336845	dualbound = 3802811.836549, lowerbound=1315192.836549, norm of subgrad 35.164589	 stepsize= 1.000000 
-dualbound = 3802853.294261, lowerbound=1314967.294261, norm of subgrad 1147.241602	dualbound = 3802853.294261, lowerbound=1314967.294261, norm of subgrad 35.177517	 stepsize= 1.000000 
-dualbound = 3802908.473583, lowerbound=1310086.473583, norm of subgrad 1145.108935	dualbound = 3802908.473583, lowerbound=1310086.473583, norm of subgrad 35.258748	 stepsize= 1.000000 
-dualbound = 3802978.325609, lowerbound=1319575.325609, norm of subgrad 1149.234670	dualbound = 3802978.325609, lowerbound=1319575.325609, norm of subgrad 35.140461	 stepsize= 1.000000 
-dualbound = 3803037.083232, lowerbound=1315735.083232, norm of subgrad 1147.573128	dualbound = 3803037.083232, lowerbound=1315735.083232, norm of subgrad 35.323613	 stepsize= 1.000000 
-dualbound = 3803077.729139, lowerbound=1314128.729139, norm of subgrad 1146.851224	dualbound = 3803077.729139, lowerbound=1314128.729139, norm of subgrad 34.345974	 stepsize= 1.000000 
-dualbound = 3803144.643691, lowerbound=1314162.643691, norm of subgrad 1146.882576	dualbound = 3803144.643691, lowerbound=1314162.643691, norm of subgrad 35.269173	 stepsize= 1.000000 
-dualbound = 3803218.691703, lowerbound=1314736.691703, norm of subgrad 1147.097072	dualbound = 3803218.691703, lowerbound=1314736.691703, norm of subgrad 34.191344	 stepsize= 1.000000 
-dualbound = 3803272.448275, lowerbound=1307403.448275, norm of subgrad 1143.900541	dualbound = 3803272.448275, lowerbound=1307403.448275, norm of subgrad 34.040514	 stepsize= 1.000000 
-dualbound = 3803323.078076, lowerbound=1317021.078076, norm of subgrad 1148.077993	dualbound = 3803323.078076, lowerbound=1317021.078076, norm of subgrad 33.356106	 stepsize= 1.000000 
-dualbound = 3803377.908617, lowerbound=1310978.908617, norm of subgrad 1145.456638	dualbound = 3803377.908617, lowerbound=1310978.908617, norm of subgrad 33.864887	 stepsize= 1.000000 
-dualbound = 3803428.546210, lowerbound=1316015.546210, norm of subgrad 1147.650010	dualbound = 3803428.546210, lowerbound=1316015.546210, norm of subgrad 33.699222	 stepsize= 1.000000 
-dualbound = 3803487.749303, lowerbound=1307764.749303, norm of subgrad 1144.072878	dualbound = 3803487.749303, lowerbound=1307764.749303, norm of subgrad 34.600623	 stepsize= 1.000000 
-dualbound = 3803524.883163, lowerbound=1310827.883163, norm of subgrad 1145.421705	dualbound = 3803524.883163, lowerbound=1310827.883163, norm of subgrad 34.642948	 stepsize= 1.000000 
-dualbound = 3803618.244276, lowerbound=1312325.244276, norm of subgrad 1146.048099	dualbound = 3803618.244276, lowerbound=1312325.244276, norm of subgrad 34.559530	 stepsize= 1.000000 
-dualbound = 3803659.919792, lowerbound=1317808.919792, norm of subgrad 1148.469817	dualbound = 3803659.919792, lowerbound=1317808.919792, norm of subgrad 34.866539	 stepsize= 1.000000 
-dualbound = 3803682.790634, lowerbound=1309611.790634, norm of subgrad 1144.888113	dualbound = 3803682.790634, lowerbound=1309611.790634, norm of subgrad 34.349248	 stepsize= 1.000000 
-dualbound = 3803755.421183, lowerbound=1305544.421183, norm of subgrad 1143.114352	dualbound = 3803755.421183, lowerbound=1305544.421183, norm of subgrad 35.194183	 stepsize= 1.000000 
-dualbound = 3803819.186190, lowerbound=1320885.186190, norm of subgrad 1149.790497	dualbound = 3803819.186190, lowerbound=1320885.186190, norm of subgrad 34.594292	 stepsize= 1.000000 
-dualbound = 3803867.536626, lowerbound=1311196.536626, norm of subgrad 1145.545519	dualbound = 3803867.536626, lowerbound=1311196.536626, norm of subgrad 33.561145	 stepsize= 1.000000 
-dualbound = 3803943.859976, lowerbound=1311210.859976, norm of subgrad 1145.598472	dualbound = 3803943.859976, lowerbound=1311210.859976, norm of subgrad 35.515114	 stepsize= 1.000000 
-dualbound = 3803960.692248, lowerbound=1314419.692248, norm of subgrad 1146.991583	dualbound = 3803960.692248, lowerbound=1314419.692248, norm of subgrad 34.450432	 stepsize= 1.000000 
-dualbound = 3804020.595508, lowerbound=1312363.595508, norm of subgrad 1146.087953	dualbound = 3804020.595508, lowerbound=1312363.595508, norm of subgrad 34.841115	 stepsize= 1.000000 
-dualbound = 3804093.355527, lowerbound=1311015.355527, norm of subgrad 1145.489134	dualbound = 3804093.355527, lowerbound=1311015.355527, norm of subgrad 34.680831	 stepsize= 1.000000 
-dualbound = 3804124.327645, lowerbound=1314525.327645, norm of subgrad 1147.026298	dualbound = 3804124.327645, lowerbound=1314525.327645, norm of subgrad 34.277866	 stepsize= 1.000000 
-dualbound = 3804199.019567, lowerbound=1311423.019567, norm of subgrad 1145.664008	dualbound = 3804199.019567, lowerbound=1311423.019567, norm of subgrad 34.607686	 stepsize= 1.000000 
-dualbound = 3804252.771894, lowerbound=1310999.771894, norm of subgrad 1145.504593	dualbound = 3804252.771894, lowerbound=1310999.771894, norm of subgrad 35.139043	 stepsize= 1.000000 
-dualbound = 3804301.270611, lowerbound=1309225.270611, norm of subgrad 1144.705757	dualbound = 3804301.270611, lowerbound=1309225.270611, norm of subgrad 34.270960	 stepsize= 1.000000 
-dualbound = 3804355.643919, lowerbound=1314739.643919, norm of subgrad 1147.125819	dualbound = 3804355.643919, lowerbound=1314739.643919, norm of subgrad 34.819151	 stepsize= 1.000000 
-dualbound = 3804422.689051, lowerbound=1311687.689051, norm of subgrad 1145.772529	dualbound = 3804422.689051, lowerbound=1311687.689051, norm of subgrad 34.264342	 stepsize= 1.000000 
-dualbound = 3804501.521398, lowerbound=1313021.521398, norm of subgrad 1146.382363	dualbound = 3804501.521398, lowerbound=1313021.521398, norm of subgrad 35.352968	 stepsize= 1.000000 
-dualbound = 3804534.597914, lowerbound=1319863.597914, norm of subgrad 1149.314838	dualbound = 3804534.597914, lowerbound=1319863.597914, norm of subgrad 33.076827	 stepsize= 1.000000 
-dualbound = 3804597.716073, lowerbound=1311108.716073, norm of subgrad 1145.532067	dualbound = 3804597.716073, lowerbound=1311108.716073, norm of subgrad 34.613843	 stepsize= 1.000000 
-dualbound = 3804652.945768, lowerbound=1311121.945768, norm of subgrad 1145.554427	dualbound = 3804652.945768, lowerbound=1311121.945768, norm of subgrad 35.046108	 stepsize= 1.000000 
-dualbound = 3804676.286135, lowerbound=1316140.286135, norm of subgrad 1147.750533	dualbound = 3804676.286135, lowerbound=1316140.286135, norm of subgrad 34.847387	 stepsize= 1.000000 
-dualbound = 3804766.224311, lowerbound=1307702.224311, norm of subgrad 1144.035937	dualbound = 3804766.224311, lowerbound=1307702.224311, norm of subgrad 34.726621	 stepsize= 1.000000 
-dualbound = 3804800.979503, lowerbound=1313376.979503, norm of subgrad 1146.519943	dualbound = 3804800.979503, lowerbound=1313376.979503, norm of subgrad 34.143157	 stepsize= 1.000000 
-dualbound = 3804871.699271, lowerbound=1312174.699271, norm of subgrad 1146.001178	dualbound = 3804871.699271, lowerbound=1312174.699271, norm of subgrad 34.852830	 stepsize= 1.000000 
-dualbound = 3804937.377264, lowerbound=1315501.377264, norm of subgrad 1147.426415	dualbound = 3804937.377264, lowerbound=1315501.377264, norm of subgrad 33.936382	 stepsize= 1.000000 
-dualbound = 3804995.853354, lowerbound=1314766.853354, norm of subgrad 1147.113706	dualbound = 3804995.853354, lowerbound=1314766.853354, norm of subgrad 34.080436	 stepsize= 1.000000 
-dualbound = 3805039.038825, lowerbound=1314158.038825, norm of subgrad 1146.867490	dualbound = 3805039.038825, lowerbound=1314158.038825, norm of subgrad 34.499065	 stepsize= 1.000000 
-dualbound = 3805078.615044, lowerbound=1312831.615044, norm of subgrad 1146.272923	dualbound = 3805078.615044, lowerbound=1312831.615044, norm of subgrad 33.905401	 stepsize= 1.000000 
-dualbound = 3805161.139390, lowerbound=1312194.139390, norm of subgrad 1145.982172	dualbound = 3805161.139390, lowerbound=1312194.139390, norm of subgrad 34.110473	 stepsize= 1.000000 
-dualbound = 3805210.170976, lowerbound=1311890.170976, norm of subgrad 1145.876595	dualbound = 3805210.170976, lowerbound=1311890.170976, norm of subgrad 34.525810	 stepsize= 1.000000 
-dualbound = 3805250.513619, lowerbound=1310404.513619, norm of subgrad 1145.241247	dualbound = 3805250.513619, lowerbound=1310404.513619, norm of subgrad 34.833068	 stepsize= 1.000000 
-dualbound = 3805310.453892, lowerbound=1314992.453892, norm of subgrad 1147.220752	dualbound = 3805310.453892, lowerbound=1314992.453892, norm of subgrad 34.393899	 stepsize= 1.000000 
-dualbound = 3805368.384719, lowerbound=1309367.384719, norm of subgrad 1144.784864	dualbound = 3805368.384719, lowerbound=1309367.384719, norm of subgrad 34.970428	 stepsize= 1.000000 
-dualbound = 3805410.848257, lowerbound=1317794.848257, norm of subgrad 1148.461514	dualbound = 3805410.848257, lowerbound=1317794.848257, norm of subgrad 34.806085	 stepsize= 1.000000 
-dualbound = 3805451.610926, lowerbound=1310302.610926, norm of subgrad 1145.191081	dualbound = 3805451.610926, lowerbound=1310302.610926, norm of subgrad 34.652023	 stepsize= 1.000000 
-dualbound = 3805537.994544, lowerbound=1310012.994544, norm of subgrad 1145.012661	dualbound = 3805537.994544, lowerbound=1310012.994544, norm of subgrad 33.576534	 stepsize= 1.000000 
-dualbound = 3805596.761304, lowerbound=1313426.761304, norm of subgrad 1146.530750	dualbound = 3805596.761304, lowerbound=1313426.761304, norm of subgrad 34.128679	 stepsize= 1.000000 
-dualbound = 3805648.706976, lowerbound=1319015.706976, norm of subgrad 1148.974198	dualbound = 3805648.706976, lowerbound=1319015.706976, norm of subgrad 34.321213	 stepsize= 1.000000 
-dualbound = 3805657.907936, lowerbound=1312602.907936, norm of subgrad 1146.196278	dualbound = 3805657.907936, lowerbound=1312602.907936, norm of subgrad 34.237420	 stepsize= 1.000000 
-dualbound = 3805752.878431, lowerbound=1311712.878431, norm of subgrad 1145.772176	dualbound = 3805752.878431, lowerbound=1311712.878431, norm of subgrad 34.292426	 stepsize= 1.000000 
-dualbound = 3805806.890513, lowerbound=1317930.890513, norm of subgrad 1148.488089	dualbound = 3805806.890513, lowerbound=1317930.890513, norm of subgrad 33.882327	 stepsize= 1.000000 
-dualbound = 3805843.326287, lowerbound=1314729.326287, norm of subgrad 1147.149217	dualbound = 3805843.326287, lowerbound=1314729.326287, norm of subgrad 35.474438	 stepsize= 1.000000 
-dualbound = 3805909.184448, lowerbound=1311313.184448, norm of subgrad 1145.622619	dualbound = 3805909.184448, lowerbound=1311313.184448, norm of subgrad 34.696659	 stepsize= 1.000000 
-dualbound = 3805972.105563, lowerbound=1313554.105563, norm of subgrad 1146.614628	dualbound = 3805972.105563, lowerbound=1313554.105563, norm of subgrad 35.127213	 stepsize= 1.000000 
-dualbound = 3806007.471934, lowerbound=1315009.471934, norm of subgrad 1147.268265	dualbound = 3806007.471934, lowerbound=1315009.471934, norm of subgrad 35.360520	 stepsize= 1.000000 
-dualbound = 3806063.217690, lowerbound=1311814.217690, norm of subgrad 1145.842580	dualbound = 3806063.217690, lowerbound=1311814.217690, norm of subgrad 34.594013	 stepsize= 1.000000 
-dualbound = 3806138.862622, lowerbound=1321428.862622, norm of subgrad 1150.057765	dualbound = 3806138.862622, lowerbound=1321428.862622, norm of subgrad 35.772125	 stepsize= 1.000000 
-dualbound = 3806169.574122, lowerbound=1312075.574122, norm of subgrad 1145.961419	dualbound = 3806169.574122, lowerbound=1312075.574122, norm of subgrad 34.390573	 stepsize= 1.000000 
-dualbound = 3806263.204128, lowerbound=1312350.204128, norm of subgrad 1146.057679	dualbound = 3806263.204128, lowerbound=1312350.204128, norm of subgrad 34.519994	 stepsize= 1.000000 
-dualbound = 3806323.855392, lowerbound=1312347.855392, norm of subgrad 1146.030914	dualbound = 3806323.855392, lowerbound=1312347.855392, norm of subgrad 33.160990	 stepsize= 1.000000 
-dualbound = 3806370.414697, lowerbound=1316367.414697, norm of subgrad 1147.805042	dualbound = 3806370.414697, lowerbound=1316367.414697, norm of subgrad 33.698061	 stepsize= 1.000000 
-dualbound = 3806419.365138, lowerbound=1313938.365138, norm of subgrad 1146.751658	dualbound = 3806419.365138, lowerbound=1313938.365138, norm of subgrad 33.910919	 stepsize= 1.000000 
-dualbound = 3806480.074132, lowerbound=1313041.074132, norm of subgrad 1146.368647	dualbound = 3806480.074132, lowerbound=1313041.074132, norm of subgrad 34.361446	 stepsize= 1.000000 
-dualbound = 3806536.263646, lowerbound=1314233.263646, norm of subgrad 1146.884154	dualbound = 3806536.263646, lowerbound=1314233.263646, norm of subgrad 34.149517	 stepsize= 1.000000 
-dualbound = 3806589.048387, lowerbound=1314958.048387, norm of subgrad 1147.193553	dualbound = 3806589.048387, lowerbound=1314958.048387, norm of subgrad 33.878972	 stepsize= 1.000000 
-dualbound = 3806634.438209, lowerbound=1310400.438209, norm of subgrad 1145.251255	dualbound = 3806634.438209, lowerbound=1310400.438209, norm of subgrad 35.290081	 stepsize= 1.000000 
-dualbound = 3806685.076273, lowerbound=1310790.076273, norm of subgrad 1145.361985	dualbound = 3806685.076273, lowerbound=1310790.076273, norm of subgrad 33.386196	 stepsize= 1.000000 
-dualbound = 3806762.069928, lowerbound=1314527.069928, norm of subgrad 1147.022262	dualbound = 3806762.069928, lowerbound=1314527.069928, norm of subgrad 34.784963	 stepsize= 1.000000 
-dualbound = 3806779.237962, lowerbound=1310468.237962, norm of subgrad 1145.243310	dualbound = 3806779.237962, lowerbound=1310468.237962, norm of subgrad 33.632842	 stepsize= 1.000000 
-dualbound = 3806864.483717, lowerbound=1317301.483717, norm of subgrad 1148.242345	dualbound = 3806864.483717, lowerbound=1317301.483717, norm of subgrad 35.273868	 stepsize= 1.000000 
-dualbound = 3806890.404211, lowerbound=1314553.404211, norm of subgrad 1147.025895	dualbound = 3806890.404211, lowerbound=1314553.404211, norm of subgrad 33.777515	 stepsize= 1.000000 
-dualbound = 3806979.232073, lowerbound=1313866.232073, norm of subgrad 1146.716718	dualbound = 3806979.232073, lowerbound=1313866.232073, norm of subgrad 34.377723	 stepsize= 1.000000 
-dualbound = 3807029.097105, lowerbound=1313169.097105, norm of subgrad 1146.413580	dualbound = 3807029.097105, lowerbound=1313169.097105, norm of subgrad 33.835854	 stepsize= 1.000000 
-dualbound = 3807072.987651, lowerbound=1313115.987651, norm of subgrad 1146.408299	dualbound = 3807072.987651, lowerbound=1313115.987651, norm of subgrad 34.349535	 stepsize= 1.000000 
-dualbound = 3807132.253212, lowerbound=1313189.253212, norm of subgrad 1146.438508	dualbound = 3807132.253212, lowerbound=1313189.253212, norm of subgrad 34.514715	 stepsize= 1.000000 
-dualbound = 3807200.260401, lowerbound=1320177.260401, norm of subgrad 1149.486955	dualbound = 3807200.260401, lowerbound=1320177.260401, norm of subgrad 34.799529	 stepsize= 1.000000 
-dualbound = 3807238.498720, lowerbound=1311277.498720, norm of subgrad 1145.613154	dualbound = 3807238.498720, lowerbound=1311277.498720, norm of subgrad 34.499831	 stepsize= 1.000000 
-dualbound = 3807313.945967, lowerbound=1312034.945967, norm of subgrad 1145.931475	dualbound = 3807313.945967, lowerbound=1312034.945967, norm of subgrad 34.633037	 stepsize= 1.000000 
-dualbound = 3807332.327642, lowerbound=1310090.327642, norm of subgrad 1145.111928	dualbound = 3807332.327642, lowerbound=1310090.327642, norm of subgrad 34.776165	 stepsize= 1.000000 
-dualbound = 3807399.519859, lowerbound=1311380.519859, norm of subgrad 1145.673391	dualbound = 3807399.519859, lowerbound=1311380.519859, norm of subgrad 35.414576	 stepsize= 1.000000 
-dualbound = 3807459.695013, lowerbound=1309512.695013, norm of subgrad 1144.821687	dualbound = 3807459.695013, lowerbound=1309512.695013, norm of subgrad 34.120011	 stepsize= 1.000000 
-dualbound = 3807535.979796, lowerbound=1315613.979796, norm of subgrad 1147.492475	dualbound = 3807535.979796, lowerbound=1315613.979796, norm of subgrad 34.659555	 stepsize= 1.000000 
-dualbound = 3807580.309381, lowerbound=1309311.309381, norm of subgrad 1144.762993	dualbound = 3807580.309381, lowerbound=1309311.309381, norm of subgrad 34.861578	 stepsize= 1.000000 
-dualbound = 3807632.873861, lowerbound=1312497.873861, norm of subgrad 1146.142606	dualbound = 3807632.873861, lowerbound=1312497.873861, norm of subgrad 34.605845	 stepsize= 1.000000 
-dualbound = 3807693.040214, lowerbound=1309379.040214, norm of subgrad 1144.791702	dualbound = 3807693.040214, lowerbound=1309379.040214, norm of subgrad 35.059469	 stepsize= 1.000000 
-dualbound = 3807723.956626, lowerbound=1312647.956626, norm of subgrad 1146.242102	dualbound = 3807723.956626, lowerbound=1312647.956626, norm of subgrad 35.410682	 stepsize= 1.000000 
-dualbound = 3807796.171883, lowerbound=1314464.171883, norm of subgrad 1146.998767	dualbound = 3807796.171883, lowerbound=1314464.171883, norm of subgrad 34.845592	 stepsize= 1.000000 
-dualbound = 3807842.132375, lowerbound=1314095.132375, norm of subgrad 1146.818265	dualbound = 3807842.132375, lowerbound=1314095.132375, norm of subgrad 33.807699	 stepsize= 1.000000 
-dualbound = 3807929.434502, lowerbound=1314300.434502, norm of subgrad 1146.898616	dualbound = 3807929.434502, lowerbound=1314300.434502, norm of subgrad 34.107215	 stepsize= 1.000000 
-dualbound = 3807967.544079, lowerbound=1312449.544079, norm of subgrad 1146.118905	dualbound = 3807967.544079, lowerbound=1312449.544079, norm of subgrad 34.309031	 stepsize= 1.000000 
-dualbound = 3808035.696771, lowerbound=1313319.696771, norm of subgrad 1146.501939	dualbound = 3808035.696771, lowerbound=1313319.696771, norm of subgrad 34.859040	 stepsize= 1.000000 
-dualbound = 3808056.849768, lowerbound=1313904.849768, norm of subgrad 1146.761026	dualbound = 3808056.849768, lowerbound=1313904.849768, norm of subgrad 34.309663	 stepsize= 1.000000 
-dualbound = 3808151.221041, lowerbound=1313150.221041, norm of subgrad 1146.395316	dualbound = 3808151.221041, lowerbound=1313150.221041, norm of subgrad 34.152178	 stepsize= 1.000000 
-dualbound = 3808193.467308, lowerbound=1319290.467308, norm of subgrad 1149.095935	dualbound = 3808193.467308, lowerbound=1319290.467308, norm of subgrad 34.252683	 stepsize= 1.000000 
-dualbound = 3808243.702870, lowerbound=1308833.702870, norm of subgrad 1144.514178	dualbound = 3808243.702870, lowerbound=1308833.702870, norm of subgrad 33.604100	 stepsize= 1.000000 
-dualbound = 3808306.115334, lowerbound=1310699.115334, norm of subgrad 1145.314418	dualbound = 3808306.115334, lowerbound=1310699.115334, norm of subgrad 33.292829	 stepsize= 1.000000 
-dualbound = 3808382.059400, lowerbound=1313794.059400, norm of subgrad 1146.681760	dualbound = 3808382.059400, lowerbound=1313794.059400, norm of subgrad 34.072629	 stepsize= 1.000000 
-dualbound = 3808411.867281, lowerbound=1318962.867281, norm of subgrad 1148.966870	dualbound = 3808411.867281, lowerbound=1318962.867281, norm of subgrad 34.522571	 stepsize= 1.000000 
-dualbound = 3808465.086073, lowerbound=1312073.086073, norm of subgrad 1145.955534	dualbound = 3808465.086073, lowerbound=1312073.086073, norm of subgrad 34.557471	 stepsize= 1.000000 
-dualbound = 3808519.042564, lowerbound=1309052.042564, norm of subgrad 1144.627469	dualbound = 3808519.042564, lowerbound=1309052.042564, norm of subgrad 34.263048	 stepsize= 1.000000 
-dualbound = 3808579.830928, lowerbound=1312811.830928, norm of subgrad 1146.271709	dualbound = 3808579.830928, lowerbound=1312811.830928, norm of subgrad 34.464306	 stepsize= 1.000000 
-dualbound = 3808638.478505, lowerbound=1313819.478505, norm of subgrad 1146.730779	dualbound = 3808638.478505, lowerbound=1313819.478505, norm of subgrad 35.080587	 stepsize= 1.000000 
-dualbound = 3808683.426059, lowerbound=1313339.426059, norm of subgrad 1146.536273	dualbound = 3808683.426059, lowerbound=1313339.426059, norm of subgrad 35.368737	 stepsize= 1.000000 
-dualbound = 3808726.876585, lowerbound=1312970.876585, norm of subgrad 1146.382081	dualbound = 3808726.876585, lowerbound=1312970.876585, norm of subgrad 35.559113	 stepsize= 1.000000 
-dualbound = 3808791.611475, lowerbound=1316423.611475, norm of subgrad 1147.860014	dualbound = 3808791.611475, lowerbound=1316423.611475, norm of subgrad 34.981922	 stepsize= 1.000000 
-dualbound = 3808858.373524, lowerbound=1310717.373524, norm of subgrad 1145.372155	dualbound = 3808858.373524, lowerbound=1310717.373524, norm of subgrad 35.025163	 stepsize= 1.000000 
-dualbound = 3808920.093666, lowerbound=1322681.093666, norm of subgrad 1150.557297	dualbound = 3808920.093666, lowerbound=1322681.093666, norm of subgrad 34.098682	 stepsize= 1.000000 
-dualbound = 3808977.788286, lowerbound=1312554.788286, norm of subgrad 1146.144750	dualbound = 3808977.788286, lowerbound=1312554.788286, norm of subgrad 33.921890	 stepsize= 1.000000 
-dualbound = 3809043.440039, lowerbound=1310761.440039, norm of subgrad 1145.404488	dualbound = 3809043.440039, lowerbound=1310761.440039, norm of subgrad 35.435177	 stepsize= 1.000000 
-dualbound = 3809042.657301, lowerbound=1321148.657301, norm of subgrad 1149.915500	dualbound = 3809042.657301, lowerbound=1321148.657301, norm of subgrad 34.003195	 stepsize= 1.000000 
-dualbound = 3809144.909666, lowerbound=1319711.909666, norm of subgrad 1149.258852	dualbound = 3809144.909666, lowerbound=1319711.909666, norm of subgrad 34.442015	 stepsize= 1.000000 
-dualbound = 3809199.385627, lowerbound=1308723.385627, norm of subgrad 1144.483895	dualbound = 3809199.385627, lowerbound=1308723.385627, norm of subgrad 34.270628	 stepsize= 1.000000 
-dualbound = 3809248.889376, lowerbound=1309356.889376, norm of subgrad 1144.741407	dualbound = 3809248.889376, lowerbound=1309356.889376, norm of subgrad 33.548528	 stepsize= 1.000000 
-dualbound = 3809312.345730, lowerbound=1314075.345730, norm of subgrad 1146.829693	dualbound = 3809312.345730, lowerbound=1314075.345730, norm of subgrad 34.734081	 stepsize= 1.000000 
-dualbound = 3809344.239834, lowerbound=1315694.239834, norm of subgrad 1147.512196	dualbound = 3809344.239834, lowerbound=1315694.239834, norm of subgrad 33.494688	 stepsize= 1.000000 
-dualbound = 3809407.314300, lowerbound=1307702.314300, norm of subgrad 1144.032480	dualbound = 3809407.314300, lowerbound=1307702.314300, norm of subgrad 34.220965	 stepsize= 1.000000 
-dualbound = 3809445.034030, lowerbound=1315219.034030, norm of subgrad 1147.318628	dualbound = 3809445.034030, lowerbound=1315219.034030, norm of subgrad 34.039973	 stepsize= 1.000000 
-dualbound = 3809531.268134, lowerbound=1314635.268134, norm of subgrad 1147.047195	dualbound = 3809531.268134, lowerbound=1314635.268134, norm of subgrad 34.179440	 stepsize= 1.000000 
-dualbound = 3809582.564823, lowerbound=1311757.564823, norm of subgrad 1145.798222	dualbound = 3809582.564823, lowerbound=1311757.564823, norm of subgrad 33.871768	 stepsize= 1.000000 
-dualbound = 3809638.521822, lowerbound=1309251.521822, norm of subgrad 1144.694947	dualbound = 3809638.521822, lowerbound=1309251.521822, norm of subgrad 33.629704	 stepsize= 1.000000 
-dualbound = 3809690.438780, lowerbound=1314484.438780, norm of subgrad 1146.988857	dualbound = 3809690.438780, lowerbound=1314484.438780, norm of subgrad 33.925167	 stepsize= 1.000000 
-dualbound = 3809733.141756, lowerbound=1312060.141756, norm of subgrad 1145.945523	dualbound = 3809733.141756, lowerbound=1312060.141756, norm of subgrad 34.259349	 stepsize= 1.000000 
-dualbound = 3809791.237005, lowerbound=1312652.237005, norm of subgrad 1146.189006	dualbound = 3809791.237005, lowerbound=1312652.237005, norm of subgrad 33.986692	 stepsize= 1.000000 
-dualbound = 3809860.145875, lowerbound=1311333.145875, norm of subgrad 1145.619110	dualbound = 3809860.145875, lowerbound=1311333.145875, norm of subgrad 34.335242	 stepsize= 1.000000 
-dualbound = 3809907.685358, lowerbound=1313658.685358, norm of subgrad 1146.627527	dualbound = 3809907.685358, lowerbound=1313658.685358, norm of subgrad 33.816261	 stepsize= 1.000000 
-dualbound = 3809966.326109, lowerbound=1314435.326109, norm of subgrad 1146.990116	dualbound = 3809966.326109, lowerbound=1314435.326109, norm of subgrad 34.779890	 stepsize= 1.000000 
-dualbound = 3810000.164725, lowerbound=1312827.164725, norm of subgrad 1146.287121	dualbound = 3810000.164725, lowerbound=1312827.164725, norm of subgrad 34.363332	 stepsize= 1.000000 
-dualbound = 3810068.994448, lowerbound=1317050.994448, norm of subgrad 1148.111926	dualbound = 3810068.994448, lowerbound=1317050.994448, norm of subgrad 34.334090	 stepsize= 1.000000 
-dualbound = 3810118.729576, lowerbound=1310036.729576, norm of subgrad 1145.069749	dualbound = 3810118.729576, lowerbound=1310036.729576, norm of subgrad 34.608310	 stepsize= 1.000000 
-dualbound = 3810171.395749, lowerbound=1314942.395749, norm of subgrad 1147.207216	dualbound = 3810171.395749, lowerbound=1314942.395749, norm of subgrad 34.563943	 stepsize= 1.000000 
-dualbound = 3810234.288902, lowerbound=1317585.288902, norm of subgrad 1148.354601	dualbound = 3810234.288902, lowerbound=1317585.288902, norm of subgrad 34.581688	 stepsize= 1.000000 
-dualbound = 3810290.037369, lowerbound=1313849.037369, norm of subgrad 1146.756747	dualbound = 3810290.037369, lowerbound=1313849.037369, norm of subgrad 35.464750	 stepsize= 1.000000 
-dualbound = 3810325.275743, lowerbound=1311828.275743, norm of subgrad 1145.879695	dualbound = 3810325.275743, lowerbound=1311828.275743, norm of subgrad 35.316262	 stepsize= 1.000000 
-dualbound = 3810383.585544, lowerbound=1315035.585544, norm of subgrad 1147.259162	dualbound = 3810383.585544, lowerbound=1315035.585544, norm of subgrad 35.018706	 stepsize= 1.000000 
-dualbound = 3810458.899043, lowerbound=1312449.899043, norm of subgrad 1146.116006	dualbound = 3810458.899043, lowerbound=1312449.899043, norm of subgrad 34.746417	 stepsize= 1.000000 
-dualbound = 3810519.753574, lowerbound=1316311.753574, norm of subgrad 1147.773389	dualbound = 3810519.753574, lowerbound=1316311.753574, norm of subgrad 33.657904	 stepsize= 1.000000 
-dualbound = 3810584.093572, lowerbound=1313264.093572, norm of subgrad 1146.441055	dualbound = 3810584.093572, lowerbound=1313264.093572, norm of subgrad 33.575884	 stepsize= 1.000000 
-dualbound = 3810618.277947, lowerbound=1309996.277947, norm of subgrad 1145.042479	dualbound = 3810618.277947, lowerbound=1309996.277947, norm of subgrad 34.061479	 stepsize= 1.000000 
-dualbound = 3810694.303814, lowerbound=1311317.303814, norm of subgrad 1145.622234	dualbound = 3810694.303814, lowerbound=1311317.303814, norm of subgrad 34.771049	 stepsize= 1.000000 
-dualbound = 3810712.361777, lowerbound=1312576.361777, norm of subgrad 1146.165940	dualbound = 3810712.361777, lowerbound=1312576.361777, norm of subgrad 33.735115	 stepsize= 1.000000 
-dualbound = 3810794.623723, lowerbound=1307450.623724, norm of subgrad 1143.920287	dualbound = 3810794.623723, lowerbound=1307450.623724, norm of subgrad 34.427633	 stepsize= 1.000000 
-dualbound = 3810853.370276, lowerbound=1316660.370276, norm of subgrad 1147.946589	dualbound = 3810853.370276, lowerbound=1316660.370276, norm of subgrad 34.347439	 stepsize= 1.000000 
-dualbound = 3810890.644718, lowerbound=1310210.644718, norm of subgrad 1145.158786	dualbound = 3810890.644718, lowerbound=1310210.644718, norm of subgrad 34.860787	 stepsize= 1.000000 
-dualbound = 3810948.113468, lowerbound=1311191.113468, norm of subgrad 1145.585489	dualbound = 3810948.113468, lowerbound=1311191.113468, norm of subgrad 35.106534	 stepsize= 1.000000 
-dualbound = 3810998.912577, lowerbound=1318595.912577, norm of subgrad 1148.786713	dualbound = 3810998.912577, lowerbound=1318595.912577, norm of subgrad 34.143800	 stepsize= 1.000000 
-dualbound = 3811060.359575, lowerbound=1312315.359575, norm of subgrad 1146.044222	dualbound = 3811060.359575, lowerbound=1312315.359575, norm of subgrad 34.109339	 stepsize= 1.000000 
-dualbound = 3811121.452923, lowerbound=1317728.452923, norm of subgrad 1148.405178	dualbound = 3811121.452923, lowerbound=1317728.452923, norm of subgrad 34.162748	 stepsize= 1.000000 
-dualbound = 3811187.460075, lowerbound=1311349.460075, norm of subgrad 1145.620557	dualbound = 3811187.460075, lowerbound=1311349.460075, norm of subgrad 34.102891	 stepsize= 1.000000 
-dualbound = 3811215.071223, lowerbound=1318429.071223, norm of subgrad 1148.710177	dualbound = 3811215.071223, lowerbound=1318429.071223, norm of subgrad 33.669142	 stepsize= 1.000000 
-dualbound = 3811287.107249, lowerbound=1312775.107249, norm of subgrad 1146.239551	dualbound = 3811287.107249, lowerbound=1312775.107249, norm of subgrad 34.088650	 stepsize= 1.000000 
-dualbound = 3811340.670857, lowerbound=1311146.670857, norm of subgrad 1145.524627	dualbound = 3811340.670857, lowerbound=1311146.670857, norm of subgrad 33.668436	 stepsize= 1.000000 
-dualbound = 3811390.723922, lowerbound=1315312.723922, norm of subgrad 1147.359021	dualbound = 3811390.723922, lowerbound=1315312.723922, norm of subgrad 34.206038	 stepsize= 1.000000 
-dualbound = 3811436.628858, lowerbound=1313940.628858, norm of subgrad 1146.763981	dualbound = 3811436.628858, lowerbound=1313940.628858, norm of subgrad 34.247700	 stepsize= 1.000000 
-dualbound = 3811500.032100, lowerbound=1315070.032100, norm of subgrad 1147.253691	dualbound = 3811500.032100, lowerbound=1315070.032100, norm of subgrad 34.415160	 stepsize= 1.000000 
-dualbound = 3811559.148112, lowerbound=1308319.148112, norm of subgrad 1144.300288	dualbound = 3811559.148112, lowerbound=1308319.148112, norm of subgrad 34.104487	 stepsize= 1.000000 
-dualbound = 3811621.635745, lowerbound=1310008.635745, norm of subgrad 1145.041762	dualbound = 3811621.635745, lowerbound=1310008.635745, norm of subgrad 34.270799	 stepsize= 1.000000 
-dualbound = 3811652.413249, lowerbound=1315633.413249, norm of subgrad 1147.531443	dualbound = 3811652.413249, lowerbound=1315633.413249, norm of subgrad 35.011105	 stepsize= 1.000000 
-dualbound = 3811729.072326, lowerbound=1307751.072326, norm of subgrad 1144.052478	dualbound = 3811729.072326, lowerbound=1307751.072326, norm of subgrad 34.375268	 stepsize= 1.000000 
-dualbound = 3811763.966810, lowerbound=1319455.966810, norm of subgrad 1149.194486	dualbound = 3811763.966810, lowerbound=1319455.966810, norm of subgrad 35.027054	 stepsize= 1.000000 
-dualbound = 3811824.344587, lowerbound=1312799.344587, norm of subgrad 1146.278912	dualbound = 3811824.344587, lowerbound=1312799.344587, norm of subgrad 34.876608	 stepsize= 1.000000 
-dualbound = 3811870.054558, lowerbound=1310051.054558, norm of subgrad 1145.104823	dualbound = 3811870.054558, lowerbound=1310051.054558, norm of subgrad 35.492393	 stepsize= 1.000000 
-dualbound = 3811908.147570, lowerbound=1316486.147570, norm of subgrad 1147.862861	dualbound = 3811908.147570, lowerbound=1316486.147570, norm of subgrad 33.780068	 stepsize= 1.000000 
-dualbound = 3812023.044083, lowerbound=1310260.044083, norm of subgrad 1145.151101	dualbound = 3812023.044083, lowerbound=1310260.044083, norm of subgrad 35.012805	 stepsize= 1.000000 
-dualbound = 3812057.292374, lowerbound=1313984.292374, norm of subgrad 1146.789559	dualbound = 3812057.292374, lowerbound=1313984.292374, norm of subgrad 34.296476	 stepsize= 1.000000 
-dualbound = 3812101.276916, lowerbound=1309934.276916, norm of subgrad 1145.032872	dualbound = 3812101.276916, lowerbound=1309934.276916, norm of subgrad 34.784832	 stepsize= 1.000000 
-dualbound = 3812170.753428, lowerbound=1316082.753428, norm of subgrad 1147.694538	dualbound = 3812170.753428, lowerbound=1316082.753428, norm of subgrad 34.488788	 stepsize= 1.000000 
-dualbound = 3812230.823441, lowerbound=1313986.823441, norm of subgrad 1146.774966	dualbound = 3812230.823441, lowerbound=1313986.823441, norm of subgrad 34.147767	 stepsize= 1.000000 
-dualbound = 3812274.220349, lowerbound=1316091.220349, norm of subgrad 1147.710861	dualbound = 3812274.220349, lowerbound=1316091.220349, norm of subgrad 34.531101	 stepsize= 1.000000 
-dualbound = 3812325.950995, lowerbound=1310677.950995, norm of subgrad 1145.337920	dualbound = 3812325.950995, lowerbound=1310677.950995, norm of subgrad 34.245155	 stepsize= 1.000000 
-dualbound = 3812405.480479, lowerbound=1309337.480479, norm of subgrad 1144.748654	dualbound = 3812405.480479, lowerbound=1309337.480479, norm of subgrad 34.518538	 stepsize= 1.000000 
-dualbound = 3812453.389375, lowerbound=1312708.389375, norm of subgrad 1146.230513	dualbound = 3812453.389375, lowerbound=1312708.389375, norm of subgrad 34.407977	 stepsize= 1.000000 
-dualbound = 3812484.024209, lowerbound=1317761.024209, norm of subgrad 1148.444175	dualbound = 3812484.024209, lowerbound=1317761.024209, norm of subgrad 34.549021	 stepsize= 1.000000 
-dualbound = 3812565.505467, lowerbound=1313212.505467, norm of subgrad 1146.459552	dualbound = 3812565.505467, lowerbound=1313212.505467, norm of subgrad 35.192062	 stepsize= 1.000000 
-dualbound = 3812603.199467, lowerbound=1310718.199467, norm of subgrad 1145.359856	dualbound = 3812603.199467, lowerbound=1310718.199467, norm of subgrad 34.186167	 stepsize= 1.000000 
-dualbound = 3812677.673714, lowerbound=1313299.673714, norm of subgrad 1146.485793	dualbound = 3812677.673714, lowerbound=1313299.673714, norm of subgrad 34.705536	 stepsize= 1.000000 
-dualbound = 3812722.616060, lowerbound=1315805.616060, norm of subgrad 1147.573360	dualbound = 3812722.616060, lowerbound=1315805.616060, norm of subgrad 34.116599	 stepsize= 1.000000 
-dualbound = 3812780.991055, lowerbound=1316211.991055, norm of subgrad 1147.759553	dualbound = 3812780.991055, lowerbound=1316211.991055, norm of subgrad 34.617553	 stepsize= 1.000000 
-dualbound = 3812824.962587, lowerbound=1311706.962587, norm of subgrad 1145.796213	dualbound = 3812824.962587, lowerbound=1311706.962587, norm of subgrad 34.437937	 stepsize= 1.000000 
-dualbound = 3812893.661286, lowerbound=1315132.661286, norm of subgrad 1147.255709	dualbound = 3812893.661286, lowerbound=1315132.661286, norm of subgrad 33.640730	 stepsize= 1.000000 
-dualbound = 3812975.134893, lowerbound=1313242.134893, norm of subgrad 1146.447615	dualbound = 3812975.134893, lowerbound=1313242.134893, norm of subgrad 34.372571	 stepsize= 1.000000 
-dualbound = 3812997.676355, lowerbound=1314565.676355, norm of subgrad 1147.039527	dualbound = 3812997.676355, lowerbound=1314565.676355, norm of subgrad 34.007962	 stepsize= 1.000000 
-dualbound = 3813047.352397, lowerbound=1312859.352397, norm of subgrad 1146.319481	dualbound = 3813047.352397, lowerbound=1312859.352397, norm of subgrad 35.194830	 stepsize= 1.000000 
-dualbound = 3813111.247195, lowerbound=1316292.247195, norm of subgrad 1147.793643	dualbound = 3813111.247195, lowerbound=1316292.247195, norm of subgrad 34.668354	 stepsize= 1.000000 
-dualbound = 3813161.850879, lowerbound=1309606.850879, norm of subgrad 1144.876347	dualbound = 3813161.850879, lowerbound=1309606.850879, norm of subgrad 34.432596	 stepsize= 1.000000 
-dualbound = 3813228.065635, lowerbound=1311004.065635, norm of subgrad 1145.471984	dualbound = 3813228.065635, lowerbound=1311004.065635, norm of subgrad 34.179157	 stepsize= 1.000000 
-dualbound = 3813262.272271, lowerbound=1314072.272271, norm of subgrad 1146.831405	dualbound = 3813262.272271, lowerbound=1314072.272271, norm of subgrad 34.412304	 stepsize= 1.000000 
-dualbound = 3813349.705083, lowerbound=1314393.705083, norm of subgrad 1146.963690	dualbound = 3813349.705083, lowerbound=1314393.705083, norm of subgrad 34.920378	 stepsize= 1.000000 
-dualbound = 3813385.899234, lowerbound=1311557.899234, norm of subgrad 1145.715453	dualbound = 3813385.899234, lowerbound=1311557.899234, norm of subgrad 33.796363	 stepsize= 1.000000 
-dualbound = 3813461.496081, lowerbound=1312881.496081, norm of subgrad 1146.292936	dualbound = 3813461.496081, lowerbound=1312881.496081, norm of subgrad 34.374363	 stepsize= 1.000000 
-dualbound = 3813490.640678, lowerbound=1313029.640678, norm of subgrad 1146.364096	dualbound = 3813490.640678, lowerbound=1313029.640678, norm of subgrad 33.913782	 stepsize= 1.000000 
-dualbound = 3813562.969085, lowerbound=1311625.969085, norm of subgrad 1145.773524	dualbound = 3813562.969085, lowerbound=1311625.969085, norm of subgrad 35.260862	 stepsize= 1.000000 
-dualbound = 3813594.761800, lowerbound=1314032.761800, norm of subgrad 1146.802407	dualbound = 3813594.761800, lowerbound=1314032.761800, norm of subgrad 33.982241	 stepsize= 1.000000 
-dualbound = 3813669.204205, lowerbound=1314975.204205, norm of subgrad 1147.207568	dualbound = 3813669.204205, lowerbound=1314975.204205, norm of subgrad 34.415729	 stepsize= 1.000000 
-dualbound = 3813727.216039, lowerbound=1304753.216039, norm of subgrad 1142.744598	dualbound = 3813727.216039, lowerbound=1304753.216039, norm of subgrad 34.205436	 stepsize= 1.000000 
-dualbound = 3813787.278551, lowerbound=1321047.278551, norm of subgrad 1149.846633	dualbound = 3813787.278551, lowerbound=1321047.278551, norm of subgrad 34.059690	 stepsize= 1.000000 
-dualbound = 3813810.145757, lowerbound=1314973.145757, norm of subgrad 1147.241973	dualbound = 3813810.145757, lowerbound=1314973.145757, norm of subgrad 34.840597	 stepsize= 1.000000 
-dualbound = 3813859.996850, lowerbound=1316205.996850, norm of subgrad 1147.761733	dualbound = 3813859.996850, lowerbound=1316205.996850, norm of subgrad 34.653298	 stepsize= 1.000000 
-dualbound = 3813937.670213, lowerbound=1308692.670213, norm of subgrad 1144.489699	dualbound = 3813937.670213, lowerbound=1308692.670213, norm of subgrad 35.237386	 stepsize= 1.000000 
-dualbound = 3814000.267406, lowerbound=1315538.267406, norm of subgrad 1147.454255	dualbound = 3814000.267406, lowerbound=1315538.267406, norm of subgrad 34.286983	 stepsize= 1.000000 
-dualbound = 3814050.718546, lowerbound=1314264.718546, norm of subgrad 1146.922281	dualbound = 3814050.718546, lowerbound=1314264.718546, norm of subgrad 34.877660	 stepsize= 1.000000 
-dualbound = 3814083.726967, lowerbound=1313078.726967, norm of subgrad 1146.418216	dualbound = 3814083.726967, lowerbound=1313078.726967, norm of subgrad 35.057216	 stepsize= 1.000000 
-dualbound = 3814144.553208, lowerbound=1308207.553208, norm of subgrad 1144.265071	dualbound = 3814144.553208, lowerbound=1308207.553208, norm of subgrad 34.580721	 stepsize= 1.000000 
-dualbound = 3814234.168801, lowerbound=1312078.168801, norm of subgrad 1145.949025	dualbound = 3814234.168801, lowerbound=1312078.168801, norm of subgrad 34.793902	 stepsize= 1.000000 
-dualbound = 3814281.265551, lowerbound=1314030.265551, norm of subgrad 1146.780827	dualbound = 3814281.265551, lowerbound=1314030.265551, norm of subgrad 33.512636	 stepsize= 1.000000 
-dualbound = 3814350.844335, lowerbound=1312143.844335, norm of subgrad 1145.959792	dualbound = 3814350.844335, lowerbound=1312143.844335, norm of subgrad 33.905439	 stepsize= 1.000000 
-dualbound = 3814398.219960, lowerbound=1309708.219960, norm of subgrad 1144.894851	dualbound = 3814398.219960, lowerbound=1309708.219960, norm of subgrad 33.516796	 stepsize= 1.000000 
-dualbound = 3814463.915065, lowerbound=1316242.915065, norm of subgrad 1147.765619	dualbound = 3814463.915065, lowerbound=1316242.915065, norm of subgrad 34.477458	 stepsize= 1.000000 
-dualbound = 3814501.021987, lowerbound=1311976.021987, norm of subgrad 1145.910128	dualbound = 3814501.021987, lowerbound=1311976.021987, norm of subgrad 34.221440	 stepsize= 1.000000 
-dualbound = 3814532.523083, lowerbound=1314325.523083, norm of subgrad 1146.941377	dualbound = 3814532.523083, lowerbound=1314325.523083, norm of subgrad 34.358421	 stepsize= 1.000000 
-dualbound = 3814615.889364, lowerbound=1315445.889364, norm of subgrad 1147.408772	dualbound = 3814615.889364, lowerbound=1315445.889364, norm of subgrad 34.414623	 stepsize= 1.000000 
-dualbound = 3814678.925998, lowerbound=1316597.925998, norm of subgrad 1147.915905	dualbound = 3814678.925998, lowerbound=1316597.925998, norm of subgrad 34.293391	 stepsize= 1.000000 
-dualbound = 3814714.515109, lowerbound=1315303.515109, norm of subgrad 1147.358059	dualbound = 3814714.515109, lowerbound=1315303.515109, norm of subgrad 34.096761	 stepsize= 1.000000 
-dualbound = 3814769.744140, lowerbound=1314996.744140, norm of subgrad 1147.226980	dualbound = 3814769.744140, lowerbound=1314996.744140, norm of subgrad 34.470698	 stepsize= 1.000000 
-dualbound = 3814854.155645, lowerbound=1310817.155645, norm of subgrad 1145.385593	dualbound = 3814854.155645, lowerbound=1310817.155645, norm of subgrad 34.284275	 stepsize= 1.000000 
-dualbound = 3814884.311323, lowerbound=1317967.311323, norm of subgrad 1148.506122	dualbound = 3814884.311323, lowerbound=1317967.311323, norm of subgrad 33.602912	 stepsize= 1.000000 
-dualbound = 3814959.563665, lowerbound=1313839.563665, norm of subgrad 1146.692445	dualbound = 3814959.563665, lowerbound=1313839.563665, norm of subgrad 33.752812	 stepsize= 1.000000 
-dualbound = 3815008.994348, lowerbound=1318026.994348, norm of subgrad 1148.551694	dualbound = 3815008.994348, lowerbound=1318026.994348, norm of subgrad 34.546066	 stepsize= 1.000000 
-dualbound = 3815048.302914, lowerbound=1309580.302914, norm of subgrad 1144.866500	dualbound = 3815048.302914, lowerbound=1309580.302914, norm of subgrad 34.326499	 stepsize= 1.000000 
-dualbound = 3815101.870634, lowerbound=1317473.870634, norm of subgrad 1148.326117	dualbound = 3815101.870634, lowerbound=1317473.870634, norm of subgrad 35.107944	 stepsize= 1.000000 
-dualbound = 3815158.674706, lowerbound=1310103.674706, norm of subgrad 1145.115573	dualbound = 3815158.674706, lowerbound=1310103.674706, norm of subgrad 35.253426	 stepsize= 1.000000 
-dualbound = 3815204.285049, lowerbound=1319439.285049, norm of subgrad 1149.189839	dualbound = 3815204.285049, lowerbound=1319439.285049, norm of subgrad 35.264860	 stepsize= 1.000000 
-dualbound = 3815256.088296, lowerbound=1311994.088296, norm of subgrad 1145.945500	dualbound = 3815256.088296, lowerbound=1311994.088296, norm of subgrad 35.338410	 stepsize= 1.000000 
-dualbound = 3815321.285819, lowerbound=1313829.285819, norm of subgrad 1146.728078	dualbound = 3815321.285819, lowerbound=1313829.285819, norm of subgrad 34.945637	 stepsize= 1.000000 
-dualbound = 3815392.399673, lowerbound=1317788.399673, norm of subgrad 1148.443904	dualbound = 3815392.399673, lowerbound=1317788.399673, norm of subgrad 34.729150	 stepsize= 1.000000 
-dualbound = 3815436.474397, lowerbound=1310969.474397, norm of subgrad 1145.434622	dualbound = 3815436.474397, lowerbound=1310969.474397, norm of subgrad 33.091913	 stepsize= 1.000000 
-dualbound = 3815536.085706, lowerbound=1312414.085706, norm of subgrad 1146.067662	dualbound = 3815536.085706, lowerbound=1312414.085706, norm of subgrad 34.008989	 stepsize= 1.000000 
-dualbound = 3815555.363604, lowerbound=1314925.363604, norm of subgrad 1147.195870	dualbound = 3815555.363604, lowerbound=1314925.363604, norm of subgrad 33.945219	 stepsize= 1.000000 
-dualbound = 3815600.863131, lowerbound=1309891.863131, norm of subgrad 1144.976796	dualbound = 3815600.863131, lowerbound=1309891.863131, norm of subgrad 33.548465	 stepsize= 1.000000 
-dualbound = 3815677.589331, lowerbound=1315398.589331, norm of subgrad 1147.394261	dualbound = 3815677.589331, lowerbound=1315398.589331, norm of subgrad 34.521388	 stepsize= 1.000000 
-dualbound = 3815721.881753, lowerbound=1312963.881753, norm of subgrad 1146.332361	dualbound = 3815721.881753, lowerbound=1312963.881753, norm of subgrad 34.033695	 stepsize= 1.000000 
-dualbound = 3815774.457606, lowerbound=1315989.457606, norm of subgrad 1147.629059	dualbound = 3815774.457606, lowerbound=1315989.457606, norm of subgrad 33.400237	 stepsize= 1.000000 
-dualbound = 3815839.121963, lowerbound=1312712.121963, norm of subgrad 1146.253516	dualbound = 3815839.121963, lowerbound=1312712.121963, norm of subgrad 35.350592	 stepsize= 1.000000 
-dualbound = 3815852.566812, lowerbound=1319735.566812, norm of subgrad 1149.314825	dualbound = 3815852.566812, lowerbound=1319735.566812, norm of subgrad 34.676287	 stepsize= 1.000000 
-dualbound = 3815950.027704, lowerbound=1310322.027704, norm of subgrad 1145.202178	dualbound = 3815950.027704, lowerbound=1310322.027704, norm of subgrad 35.545195	 stepsize= 1.000000 
-dualbound = 3815968.938410, lowerbound=1315176.938410, norm of subgrad 1147.311613	dualbound = 3815968.938410, lowerbound=1315176.938410, norm of subgrad 34.145435	 stepsize= 1.000000 
-dualbound = 3816070.614469, lowerbound=1314327.614469, norm of subgrad 1146.926595	dualbound = 3816070.614469, lowerbound=1314327.614469, norm of subgrad 34.852203	 stepsize= 1.000000 
-dualbound = 3816111.402306, lowerbound=1311401.402306, norm of subgrad 1145.662866	dualbound = 3816111.402306, lowerbound=1311401.402306, norm of subgrad 34.391683	 stepsize= 1.000000 
-dualbound = 3816154.379535, lowerbound=1313296.379535, norm of subgrad 1146.475198	dualbound = 3816154.379535, lowerbound=1313296.379535, norm of subgrad 33.940790	 stepsize= 1.000000 
-dualbound = 3816214.590765, lowerbound=1310968.590765, norm of subgrad 1145.459554	dualbound = 3816214.590765, lowerbound=1310968.590765, norm of subgrad 34.193731	 stepsize= 1.000000 
-dualbound = 3816263.051747, lowerbound=1310813.051747, norm of subgrad 1145.408683	dualbound = 3816263.051747, lowerbound=1310813.051747, norm of subgrad 34.589897	 stepsize= 1.000000 
-dualbound = 3816327.707755, lowerbound=1311002.707755, norm of subgrad 1145.474883	dualbound = 3816327.707755, lowerbound=1311002.707755, norm of subgrad 34.273255	 stepsize= 1.000000 
-dualbound = 3816395.972303, lowerbound=1318259.972303, norm of subgrad 1148.614371	dualbound = 3816395.972303, lowerbound=1318259.972303, norm of subgrad 33.515139	 stepsize= 1.000000 
-dualbound = 3816444.071364, lowerbound=1311065.071364, norm of subgrad 1145.516509	dualbound = 3816444.071364, lowerbound=1311065.071364, norm of subgrad 34.512303	 stepsize= 1.000000 
-dualbound = 3816487.461406, lowerbound=1315152.461406, norm of subgrad 1147.309227	dualbound = 3816487.461406, lowerbound=1315152.461406, norm of subgrad 34.776286	 stepsize= 1.000000 
-dualbound = 3816529.564552, lowerbound=1314882.564552, norm of subgrad 1147.200316	dualbound = 3816529.564552, lowerbound=1314882.564552, norm of subgrad 35.044303	 stepsize= 1.000000 
-dualbound = 3816604.067681, lowerbound=1315419.067681, norm of subgrad 1147.428023	dualbound = 3816604.067681, lowerbound=1315419.067681, norm of subgrad 35.305851	 stepsize= 1.000000 
-dualbound = 3816641.248961, lowerbound=1315809.248961, norm of subgrad 1147.588885	dualbound = 3816641.248961, lowerbound=1315809.248961, norm of subgrad 34.470006	 stepsize= 1.000000 
-dualbound = 3816719.873821, lowerbound=1310910.873821, norm of subgrad 1145.452694	dualbound = 3816719.873821, lowerbound=1310910.873821, norm of subgrad 35.066007	 stepsize= 1.000000 
-dualbound = 3816755.441838, lowerbound=1316521.441838, norm of subgrad 1147.942264	dualbound = 3816755.441838, lowerbound=1316521.441838, norm of subgrad 35.854819	 stepsize= 1.000000 
-dualbound = 3816800.334793, lowerbound=1311619.334793, norm of subgrad 1145.765393	dualbound = 3816800.334793, lowerbound=1311619.334793, norm of subgrad 34.697161	 stepsize= 1.000000 
-dualbound = 3816866.879506, lowerbound=1317674.879506, norm of subgrad 1148.405364	dualbound = 3816866.879506, lowerbound=1317674.879506, norm of subgrad 35.022060	 stepsize= 1.000000 
-dualbound = 3816940.455871, lowerbound=1314835.455871, norm of subgrad 1147.154504	dualbound = 3816940.455871, lowerbound=1314835.455871, norm of subgrad 34.663762	 stepsize= 1.000000 
-dualbound = 3816968.319489, lowerbound=1311684.319489, norm of subgrad 1145.789823	dualbound = 3816968.319489, lowerbound=1311684.319489, norm of subgrad 34.320018	 stepsize= 1.000000 
-dualbound = 3817070.343533, lowerbound=1311819.343533, norm of subgrad 1145.812089	dualbound = 3817070.343533, lowerbound=1311819.343533, norm of subgrad 34.176367	 stepsize= 1.000000 
-dualbound = 3817111.014060, lowerbound=1313298.014060, norm of subgrad 1146.468933	dualbound = 3817111.014060, lowerbound=1313298.014060, norm of subgrad 33.670024	 stepsize= 1.000000 
-dualbound = 3817190.759261, lowerbound=1317599.759261, norm of subgrad 1148.335212	dualbound = 3817190.759261, lowerbound=1317599.759261, norm of subgrad 33.966825	 stepsize= 1.000000 
-dualbound = 3817194.696707, lowerbound=1317302.696707, norm of subgrad 1148.250276	dualbound = 3817194.696707, lowerbound=1317302.696707, norm of subgrad 34.350218	 stepsize= 1.000000 
-dualbound = 3817270.760553, lowerbound=1309867.760553, norm of subgrad 1144.964524	dualbound = 3817270.760553, lowerbound=1309867.760553, norm of subgrad 33.942066	 stepsize= 1.000000 
-dualbound = 3817310.964530, lowerbound=1318153.964530, norm of subgrad 1148.614803	dualbound = 3817310.964530, lowerbound=1318153.964530, norm of subgrad 34.672813	 stepsize= 1.000000 
-dualbound = 3817379.327457, lowerbound=1308576.327457, norm of subgrad 1144.420957	dualbound = 3817379.327457, lowerbound=1308576.327457, norm of subgrad 34.516126	 stepsize= 1.000000 
-dualbound = 3817430.245371, lowerbound=1316918.245371, norm of subgrad 1148.054984	dualbound = 3817430.245371, lowerbound=1316918.245371, norm of subgrad 34.101582	 stepsize= 1.000000 
-dualbound = 3817518.623657, lowerbound=1311577.623657, norm of subgrad 1145.692203	dualbound = 3817518.623657, lowerbound=1311577.623657, norm of subgrad 33.486987	 stepsize= 1.000000 
-dualbound = 3817567.658468, lowerbound=1313931.658468, norm of subgrad 1146.717776	dualbound = 3817567.658468, lowerbound=1313931.658468, norm of subgrad 32.848665	 stepsize= 1.000000 
-dualbound = 3817631.283530, lowerbound=1313411.283530, norm of subgrad 1146.526617	dualbound = 3817631.283530, lowerbound=1313411.283530, norm of subgrad 34.287389	 stepsize= 1.000000 
-dualbound = 3817634.935036, lowerbound=1311379.935036, norm of subgrad 1145.658734	dualbound = 3817634.935036, lowerbound=1311379.935036, norm of subgrad 34.024278	 stepsize= 1.000000 
-dualbound = 3817725.171582, lowerbound=1310264.171582, norm of subgrad 1145.154213	dualbound = 3817725.171582, lowerbound=1310264.171582, norm of subgrad 34.702112	 stepsize= 1.000000 
-dualbound = 3817757.851183, lowerbound=1321159.851183, norm of subgrad 1149.927324	dualbound = 3817757.851183, lowerbound=1321159.851183, norm of subgrad 34.722897	 stepsize= 1.000000 
-dualbound = 3817804.089792, lowerbound=1314115.089792, norm of subgrad 1146.857049	dualbound = 3817804.089792, lowerbound=1314115.089792, norm of subgrad 34.817217	 stepsize= 1.000000 
-dualbound = 3817874.719913, lowerbound=1309834.719913, norm of subgrad 1144.998568	dualbound = 3817874.719913, lowerbound=1309834.719913, norm of subgrad 35.463081	 stepsize= 1.000000 
-dualbound = 3817932.634949, lowerbound=1317931.634949, norm of subgrad 1148.516711	dualbound = 3817932.634949, lowerbound=1317931.634949, norm of subgrad 34.884309	 stepsize= 1.000000 
-dualbound = 3817980.122137, lowerbound=1313734.122137, norm of subgrad 1146.688764	dualbound = 3817980.122137, lowerbound=1313734.122137, norm of subgrad 34.763302	 stepsize= 1.000000 
-dualbound = 3818030.815790, lowerbound=1312016.815790, norm of subgrad 1145.938400	dualbound = 3818030.815790, lowerbound=1312016.815790, norm of subgrad 34.766272	 stepsize= 1.000000 
-dualbound = 3818104.246461, lowerbound=1311822.246461, norm of subgrad 1145.840411	dualbound = 3818104.246461, lowerbound=1311822.246461, norm of subgrad 34.661660	 stepsize= 1.000000 
-dualbound = 3818168.658335, lowerbound=1321160.658335, norm of subgrad 1149.907674	dualbound = 3818168.658335, lowerbound=1321160.658335, norm of subgrad 34.516835	 stepsize= 1.000000 
-dualbound = 3818207.000511, lowerbound=1314250.000511, norm of subgrad 1146.902786	dualbound = 3818207.000511, lowerbound=1314250.000511, norm of subgrad 34.268676	 stepsize= 1.000000 
-dualbound = 3818281.676172, lowerbound=1307729.676172, norm of subgrad 1144.053616	dualbound = 3818281.676172, lowerbound=1307729.676172, norm of subgrad 34.694029	 stepsize= 1.000000 
-dualbound = 3818303.020830, lowerbound=1317080.020830, norm of subgrad 1148.168551	dualbound = 3818303.020830, lowerbound=1317080.020830, norm of subgrad 35.104767	 stepsize= 1.000000 
-dualbound = 3818346.392291, lowerbound=1314769.392291, norm of subgrad 1147.142272	dualbound = 3818346.392291, lowerbound=1314769.392291, norm of subgrad 34.776018	 stepsize= 1.000000 
-dualbound = 3818424.079000, lowerbound=1312858.079000, norm of subgrad 1146.283158	dualbound = 3818424.079000, lowerbound=1312858.079000, norm of subgrad 34.419278	 stepsize= 1.000000 
-dualbound = 3818502.517329, lowerbound=1313486.517329, norm of subgrad 1146.545035	dualbound = 3818502.517329, lowerbound=1313486.517329, norm of subgrad 34.021145	 stepsize= 1.000000 
-dualbound = 3818526.468020, lowerbound=1313656.468020, norm of subgrad 1146.654032	dualbound = 3818526.468020, lowerbound=1313656.468020, norm of subgrad 34.394050	 stepsize= 1.000000 
-dualbound = 3818604.743157, lowerbound=1310357.743157, norm of subgrad 1145.191138	dualbound = 3818604.743157, lowerbound=1310357.743157, norm of subgrad 34.398766	 stepsize= 1.000000 
-dualbound = 3818651.682889, lowerbound=1311771.682889, norm of subgrad 1145.836674	dualbound = 3818651.682889, lowerbound=1311771.682889, norm of subgrad 34.884663	 stepsize= 1.000000 
-dualbound = 3818699.081068, lowerbound=1312314.081068, norm of subgrad 1146.081184	dualbound = 3818699.081068, lowerbound=1312314.081068, norm of subgrad 35.148232	 stepsize= 1.000000 
-dualbound = 3818757.027074, lowerbound=1315109.027074, norm of subgrad 1147.285940	dualbound = 3818757.027074, lowerbound=1315109.027074, norm of subgrad 34.841728	 stepsize= 1.000000 
-dualbound = 3818840.908263, lowerbound=1314216.908263, norm of subgrad 1146.864817	dualbound = 3818840.908263, lowerbound=1314216.908263, norm of subgrad 34.145002	 stepsize= 1.000000 
-dualbound = 3818900.324368, lowerbound=1313371.324368, norm of subgrad 1146.513552	dualbound = 3818900.324368, lowerbound=1313371.324368, norm of subgrad 34.371734	 stepsize= 1.000000 
-dualbound = 3818918.555838, lowerbound=1318190.555838, norm of subgrad 1148.623766	dualbound = 3818918.555838, lowerbound=1318190.555838, norm of subgrad 34.120836	 stepsize= 1.000000 
-dualbound = 3818997.031978, lowerbound=1312592.031978, norm of subgrad 1146.174521	dualbound = 3818997.031978, lowerbound=1312592.031978, norm of subgrad 34.676738	 stepsize= 1.000000 
-dualbound = 3819026.699662, lowerbound=1318334.699662, norm of subgrad 1148.671711	dualbound = 3819026.699662, lowerbound=1318334.699662, norm of subgrad 33.788573	 stepsize= 1.000000 
-dualbound = 3819109.025395, lowerbound=1309271.025395, norm of subgrad 1144.744087	dualbound = 3819109.025395, lowerbound=1309271.025395, norm of subgrad 35.359945	 stepsize= 1.000000 
-dualbound = 3819134.467421, lowerbound=1324216.467421, norm of subgrad 1151.251696	dualbound = 3819134.467421, lowerbound=1324216.467421, norm of subgrad 34.488288	 stepsize= 1.000000 
-dualbound = 3819202.545769, lowerbound=1314038.545769, norm of subgrad 1146.821061	dualbound = 3819202.545769, lowerbound=1314038.545769, norm of subgrad 35.043949	 stepsize= 1.000000 
-dualbound = 3819249.917509, lowerbound=1309129.917509, norm of subgrad 1144.699488	dualbound = 3819249.917509, lowerbound=1309129.917509, norm of subgrad 35.417111	 stepsize= 1.000000 
-dualbound = 3819302.774095, lowerbound=1317106.774095, norm of subgrad 1148.147540	dualbound = 3819302.774095, lowerbound=1317106.774095, norm of subgrad 34.479800	 stepsize= 1.000000 
-dualbound = 3819362.495385, lowerbound=1316865.495385, norm of subgrad 1148.026348	dualbound = 3819362.495385, lowerbound=1316865.495385, norm of subgrad 34.039995	 stepsize= 1.000000 
-dualbound = 3819453.517002, lowerbound=1319532.517002, norm of subgrad 1149.183413	dualbound = 3819453.517002, lowerbound=1319532.517002, norm of subgrad 34.365995	 stepsize= 1.000000 
-dualbound = 3819466.917362, lowerbound=1307502.917362, norm of subgrad 1143.949263	dualbound = 3819466.917362, lowerbound=1307502.917362, norm of subgrad 33.621427	 stepsize= 1.000000 
-dualbound = 3819567.942517, lowerbound=1310831.942517, norm of subgrad 1145.396849	dualbound = 3819567.942517, lowerbound=1310831.942517, norm of subgrad 34.684653	 stepsize= 1.000000 
-dualbound = 3819600.151689, lowerbound=1317255.151689, norm of subgrad 1148.220428	dualbound = 3819600.151689, lowerbound=1317255.151689, norm of subgrad 34.455902	 stepsize= 1.000000 
-dualbound = 3819641.568337, lowerbound=1306620.568337, norm of subgrad 1143.568349	dualbound = 3819641.568337, lowerbound=1306620.568337, norm of subgrad 34.196734	 stepsize= 1.000000 
-dualbound = 3819687.030989, lowerbound=1317057.030989, norm of subgrad 1148.117603	dualbound = 3819687.030989, lowerbound=1317057.030989, norm of subgrad 34.094907	 stepsize= 1.000000 
-dualbound = 3819771.493133, lowerbound=1319369.493133, norm of subgrad 1149.128580	dualbound = 3819771.493133, lowerbound=1319369.493133, norm of subgrad 34.806065	 stepsize= 1.000000 
-dualbound = 3819779.313111, lowerbound=1312137.313111, norm of subgrad 1145.982684	dualbound = 3819779.313111, lowerbound=1312137.313111, norm of subgrad 33.864731	 stepsize= 1.000000 
-dualbound = 3819854.400832, lowerbound=1316735.400832, norm of subgrad 1147.964460	dualbound = 3819854.400832, lowerbound=1316735.400832, norm of subgrad 34.089408	 stepsize= 1.000000 
-dualbound = 3819917.369475, lowerbound=1310033.369475, norm of subgrad 1145.066535	dualbound = 3819917.369475, lowerbound=1310033.369475, norm of subgrad 34.741454	 stepsize= 1.000000 
-dualbound = 3819970.653852, lowerbound=1317882.653852, norm of subgrad 1148.477973	dualbound = 3819970.653852, lowerbound=1317882.653852, norm of subgrad 34.238639	 stepsize= 1.000000 
-dualbound = 3820028.588003, lowerbound=1312687.588003, norm of subgrad 1146.224057	dualbound = 3820028.588003, lowerbound=1312687.588003, norm of subgrad 34.640066	 stepsize= 1.000000 
-dualbound = 3820069.916463, lowerbound=1317247.916463, norm of subgrad 1148.236002	dualbound = 3820069.916463, lowerbound=1317247.916463, norm of subgrad 35.204097	 stepsize= 1.000000 
-dualbound = 3820128.275893, lowerbound=1313070.275893, norm of subgrad 1146.393159	dualbound = 3820128.275893, lowerbound=1313070.275893, norm of subgrad 34.718287	 stepsize= 1.000000 
-dualbound = 3820197.248316, lowerbound=1312011.248316, norm of subgrad 1145.917645	dualbound = 3820197.248316, lowerbound=1312011.248316, norm of subgrad 34.423428	 stepsize= 1.000000 
-dualbound = 3820251.502393, lowerbound=1319185.502393, norm of subgrad 1149.061140	dualbound = 3820251.502393, lowerbound=1319185.502393, norm of subgrad 34.788706	 stepsize= 1.000000 
-dualbound = 3820284.207185, lowerbound=1311832.207185, norm of subgrad 1145.867884	dualbound = 3820284.207185, lowerbound=1311832.207185, norm of subgrad 34.838266	 stepsize= 1.000000 
-dualbound = 3820343.211826, lowerbound=1312058.211826, norm of subgrad 1145.959952	dualbound = 3820343.211826, lowerbound=1312058.211826, norm of subgrad 35.000066	 stepsize= 1.000000 
-dualbound = 3820419.266747, lowerbound=1315844.266747, norm of subgrad 1147.595864	dualbound = 3820419.266747, lowerbound=1315844.266747, norm of subgrad 34.757084	 stepsize= 1.000000 
-dualbound = 3820465.681349, lowerbound=1315756.681349, norm of subgrad 1147.562496	dualbound = 3820465.681349, lowerbound=1315756.681349, norm of subgrad 34.487891	 stepsize= 1.000000 
-dualbound = 3820505.999592, lowerbound=1314233.999592, norm of subgrad 1146.926327	dualbound = 3820505.999592, lowerbound=1314233.999592, norm of subgrad 35.303233	 stepsize= 1.000000 
-dualbound = 3820562.353673, lowerbound=1307550.353673, norm of subgrad 1143.984420	dualbound = 3820562.353673, lowerbound=1307550.353673, norm of subgrad 34.732608	 stepsize= 1.000000 
-dualbound = 3820615.917626, lowerbound=1316089.917626, norm of subgrad 1147.705501	dualbound = 3820615.917626, lowerbound=1316089.917626, norm of subgrad 34.519038	 stepsize= 1.000000 
-dualbound = 3820675.876818, lowerbound=1310423.876818, norm of subgrad 1145.234857	dualbound = 3820675.876818, lowerbound=1310423.876818, norm of subgrad 34.625990	 stepsize= 1.000000 
-dualbound = 3820765.029646, lowerbound=1314959.029646, norm of subgrad 1147.204005	dualbound = 3820765.029646, lowerbound=1314959.029646, norm of subgrad 34.744105	 stepsize= 1.000000 
-dualbound = 3820771.178568, lowerbound=1311232.178568, norm of subgrad 1145.591192	dualbound = 3820771.178568, lowerbound=1311232.178568, norm of subgrad 33.958046	 stepsize= 1.000000 
-dualbound = 3820843.403808, lowerbound=1310518.403808, norm of subgrad 1145.285730	dualbound = 3820843.403808, lowerbound=1310518.403808, norm of subgrad 35.117307	 stepsize= 1.000000 
-dualbound = 3820891.092620, lowerbound=1314611.092620, norm of subgrad 1147.064119	dualbound = 3820891.092620, lowerbound=1314611.092620, norm of subgrad 34.535327	 stepsize= 1.000000 
-dualbound = 3820965.827121, lowerbound=1315079.827121, norm of subgrad 1147.274957	dualbound = 3820965.827121, lowerbound=1315079.827121, norm of subgrad 35.138789	 stepsize= 1.000000 
-dualbound = 3820987.521927, lowerbound=1311656.521927, norm of subgrad 1145.787293	dualbound = 3820987.521927, lowerbound=1311656.521927, norm of subgrad 34.549889	 stepsize= 1.000000 
-dualbound = 3821073.944594, lowerbound=1317391.944594, norm of subgrad 1148.274333	dualbound = 3821073.944594, lowerbound=1317391.944594, norm of subgrad 35.048861	 stepsize= 1.000000 
-dualbound = 3821112.725110, lowerbound=1309517.725110, norm of subgrad 1144.839607	dualbound = 3821112.725110, lowerbound=1309517.725110, norm of subgrad 34.333373	 stepsize= 1.000000 
-dualbound = 3821172.857606, lowerbound=1318331.857606, norm of subgrad 1148.667862	dualbound = 3821172.857606, lowerbound=1318331.857606, norm of subgrad 34.148682	 stepsize= 1.000000 
-dualbound = 3821226.473042, lowerbound=1311670.473042, norm of subgrad 1145.763707	dualbound = 3821226.473042, lowerbound=1311670.473042, norm of subgrad 34.023748	 stepsize= 1.000000 
-dualbound = 3821309.291300, lowerbound=1316224.291300, norm of subgrad 1147.731367	dualbound = 3821309.291300, lowerbound=1316224.291300, norm of subgrad 33.849937	 stepsize= 1.000000 
-dualbound = 3821351.814285, lowerbound=1312518.814285, norm of subgrad 1146.159157	dualbound = 3821351.814285, lowerbound=1312518.814285, norm of subgrad 34.706238	 stepsize= 1.000000 
-dualbound = 3821402.346717, lowerbound=1314130.346717, norm of subgrad 1146.862392	dualbound = 3821402.346717, lowerbound=1314130.346717, norm of subgrad 34.835792	 stepsize= 1.000000 
-dualbound = 3821445.018976, lowerbound=1313412.018976, norm of subgrad 1146.522577	dualbound = 3821445.018976, lowerbound=1313412.018976, norm of subgrad 33.833005	 stepsize= 1.000000 
-dualbound = 3821497.688879, lowerbound=1315736.688879, norm of subgrad 1147.548556	dualbound = 3821497.688879, lowerbound=1315736.688879, norm of subgrad 34.404504	 stepsize= 1.000000 
-dualbound = 3821596.545443, lowerbound=1317513.545443, norm of subgrad 1148.300721	dualbound = 3821596.545443, lowerbound=1317513.545443, norm of subgrad 34.349040	 stepsize= 1.000000 
-dualbound = 3821639.521552, lowerbound=1316176.521552, norm of subgrad 1147.733210	dualbound = 3821639.521552, lowerbound=1316176.521552, norm of subgrad 34.029048	 stepsize= 1.000000 
-dualbound = 3821674.906454, lowerbound=1314839.906454, norm of subgrad 1147.149034	dualbound = 3821674.906454, lowerbound=1314839.906454, norm of subgrad 33.858306	 stepsize= 1.000000 
-dualbound = 3821747.741679, lowerbound=1310157.741679, norm of subgrad 1145.110799	dualbound = 3821747.741679, lowerbound=1310157.741679, norm of subgrad 34.551921	 stepsize= 1.000000 
-dualbound = 3821790.703702, lowerbound=1311511.703702, norm of subgrad 1145.695729	dualbound = 3821790.703702, lowerbound=1311511.703702, norm of subgrad 33.911090	 stepsize= 1.000000 
-dualbound = 3821844.231105, lowerbound=1310847.231105, norm of subgrad 1145.451104	dualbound = 3821844.231105, lowerbound=1310847.231105, norm of subgrad 35.560194	 stepsize= 1.000000 
-dualbound = 3821896.041504, lowerbound=1308052.041504, norm of subgrad 1144.191436	dualbound = 3821896.041504, lowerbound=1308052.041504, norm of subgrad 34.260916	 stepsize= 1.000000 
-dualbound = 3821958.420627, lowerbound=1322062.420627, norm of subgrad 1150.306229	dualbound = 3821958.420627, lowerbound=1322062.420627, norm of subgrad 34.704166	 stepsize= 1.000000 
-dualbound = 3822000.978964, lowerbound=1309630.978964, norm of subgrad 1144.877714	dualbound = 3822000.978964, lowerbound=1309630.978964, norm of subgrad 34.008210	 stepsize= 1.000000 
-dualbound = 3822064.095200, lowerbound=1311722.095200, norm of subgrad 1145.781871	dualbound = 3822064.095200, lowerbound=1311722.095200, norm of subgrad 34.016411	 stepsize= 1.000000 
-dualbound = 3822134.654081, lowerbound=1318843.654081, norm of subgrad 1148.874951	dualbound = 3822134.654081, lowerbound=1318843.654081, norm of subgrad 33.772161	 stepsize= 1.000000 
-dualbound = 3822173.493516, lowerbound=1309400.493516, norm of subgrad 1144.771372	dualbound = 3822173.493516, lowerbound=1309400.493516, norm of subgrad 33.761508	 stepsize= 1.000000 
-dualbound = 3822232.793169, lowerbound=1319368.793169, norm of subgrad 1149.113917	dualbound = 3822232.793169, lowerbound=1319368.793169, norm of subgrad 33.960266	 stepsize= 1.000000 
-dualbound = 3822287.886825, lowerbound=1309021.886825, norm of subgrad 1144.595075	dualbound = 3822287.886825, lowerbound=1309021.886825, norm of subgrad 33.631736	 stepsize= 1.000000 
-dualbound = 3822348.891151, lowerbound=1318560.891151, norm of subgrad 1148.765377	dualbound = 3822348.891151, lowerbound=1318560.891151, norm of subgrad 34.088185	 stepsize= 1.000000 
-dualbound = 3822398.891784, lowerbound=1313983.891784, norm of subgrad 1146.789820	dualbound = 3822398.891784, lowerbound=1313983.891784, norm of subgrad 34.539841	 stepsize= 1.000000 
-dualbound = 3822438.360927, lowerbound=1319986.360927, norm of subgrad 1149.412616	dualbound = 3822438.360927, lowerbound=1319986.360927, norm of subgrad 34.676637	 stepsize= 1.000000 
-dualbound = 3822484.414765, lowerbound=1313675.414766, norm of subgrad 1146.683223	dualbound = 3822484.414765, lowerbound=1313675.414766, norm of subgrad 35.398501	 stepsize= 1.000000 
-dualbound = 3822521.097107, lowerbound=1317935.097107, norm of subgrad 1148.526054	dualbound = 3822521.097107, lowerbound=1317935.097107, norm of subgrad 34.837944	 stepsize= 1.000000 
-dualbound = 3822618.997033, lowerbound=1312653.997033, norm of subgrad 1146.222490	dualbound = 3822618.997033, lowerbound=1312653.997033, norm of subgrad 35.635655	 stepsize= 1.000000 
-dualbound = 3822664.234344, lowerbound=1320065.234344, norm of subgrad 1149.449100	dualbound = 3822664.234344, lowerbound=1320065.234344, norm of subgrad 34.831556	 stepsize= 1.000000 
-dualbound = 3822696.876548, lowerbound=1313587.876548, norm of subgrad 1146.631099	dualbound = 3822696.876548, lowerbound=1313587.876548, norm of subgrad 34.751147	 stepsize= 1.000000 
-dualbound = 3822769.495333, lowerbound=1310640.495333, norm of subgrad 1145.320695	dualbound = 3822769.495333, lowerbound=1310640.495333, norm of subgrad 34.519832	 stepsize= 1.000000 
-dualbound = 3822822.554546, lowerbound=1313281.554546, norm of subgrad 1146.488794	dualbound = 3822822.554546, lowerbound=1313281.554546, norm of subgrad 34.757146	 stepsize= 1.000000 
-dualbound = 3822861.766982, lowerbound=1314951.766982, norm of subgrad 1147.212172	dualbound = 3822861.766982, lowerbound=1314951.766982, norm of subgrad 34.397855	 stepsize= 1.000000 
-dualbound = 3822941.692681, lowerbound=1311697.692681, norm of subgrad 1145.806569	dualbound = 3822941.692681, lowerbound=1311697.692681, norm of subgrad 35.424930	 stepsize= 1.000000 
-dualbound = 3822988.453647, lowerbound=1316485.453647, norm of subgrad 1147.856896	dualbound = 3822988.453647, lowerbound=1316485.453647, norm of subgrad 33.715886	 stepsize= 1.000000 
-dualbound = 3823061.353855, lowerbound=1311918.353855, norm of subgrad 1145.859657	dualbound = 3823061.353855, lowerbound=1311918.353855, norm of subgrad 33.895430	 stepsize= 1.000000 
-dualbound = 3823128.545946, lowerbound=1319334.545946, norm of subgrad 1149.075953	dualbound = 3823128.545946, lowerbound=1319334.545946, norm of subgrad 33.289519	 stepsize= 1.000000 
-dualbound = 3823185.279551, lowerbound=1312994.279551, norm of subgrad 1146.345183	dualbound = 3823185.279551, lowerbound=1312994.279551, norm of subgrad 34.201368	 stepsize= 1.000000 
-dualbound = 3823211.382088, lowerbound=1315379.382088, norm of subgrad 1147.381969	dualbound = 3823211.382088, lowerbound=1315379.382088, norm of subgrad 33.646731	 stepsize= 1.000000 
-dualbound = 3823293.669094, lowerbound=1315893.669094, norm of subgrad 1147.597346	dualbound = 3823293.669094, lowerbound=1315893.669094, norm of subgrad 34.180214	 stepsize= 1.000000 
-dualbound = 3823331.588625, lowerbound=1313589.588625, norm of subgrad 1146.613095	dualbound = 3823331.588625, lowerbound=1313589.588625, norm of subgrad 34.204086	 stepsize= 1.000000 
-dualbound = 3823372.414541, lowerbound=1318959.414541, norm of subgrad 1148.959710	dualbound = 3823372.414541, lowerbound=1318959.414541, norm of subgrad 34.493853	 stepsize= 1.000000 
-dualbound = 3823421.217200, lowerbound=1313193.217200, norm of subgrad 1146.461607	dualbound = 3823421.217200, lowerbound=1313193.217200, norm of subgrad 35.068542	 stepsize= 1.000000 
-dualbound = 3823461.483121, lowerbound=1315338.483121, norm of subgrad 1147.389421	dualbound = 3823461.483121, lowerbound=1315338.483121, norm of subgrad 34.702535	 stepsize= 1.000000 
-dualbound = 3823536.356302, lowerbound=1315695.356302, norm of subgrad 1147.512247	dualbound = 3823536.356302, lowerbound=1315695.356302, norm of subgrad 34.115586	 stepsize= 1.000000 
-dualbound = 3823608.480247, lowerbound=1310040.480247, norm of subgrad 1145.038200	dualbound = 3823608.480247, lowerbound=1310040.480247, norm of subgrad 33.824901	 stepsize= 1.000000 
-dualbound = 3823668.721794, lowerbound=1312574.721794, norm of subgrad 1146.153010	dualbound = 3823668.721794, lowerbound=1312574.721794, norm of subgrad 33.944684	 stepsize= 1.000000 
-dualbound = 3823718.128242, lowerbound=1314992.128242, norm of subgrad 1147.213637	dualbound = 3823718.128242, lowerbound=1314992.128242, norm of subgrad 34.005977	 stepsize= 1.000000 
-dualbound = 3823764.584133, lowerbound=1316199.584133, norm of subgrad 1147.751534	dualbound = 3823764.584133, lowerbound=1316199.584133, norm of subgrad 34.357763	 stepsize= 1.000000 
-dualbound = 3823821.010963, lowerbound=1321612.010963, norm of subgrad 1150.103913	dualbound = 3823821.010963, lowerbound=1321612.010963, norm of subgrad 34.400971	 stepsize= 1.000000 
-dualbound = 3823866.026953, lowerbound=1313364.026953, norm of subgrad 1146.511678	dualbound = 3823866.026953, lowerbound=1313364.026953, norm of subgrad 34.205496	 stepsize= 1.000000 
-dualbound = 3823939.617977, lowerbound=1316674.617977, norm of subgrad 1147.934501	dualbound = 3823939.617977, lowerbound=1316674.617977, norm of subgrad 33.949831	 stepsize= 1.000000 
-dualbound = 3823976.843336, lowerbound=1316391.843336, norm of subgrad 1147.848354	dualbound = 3823976.843336, lowerbound=1316391.843336, norm of subgrad 34.658698	 stepsize= 1.000000 
-dualbound = 3824037.859653, lowerbound=1312506.859653, norm of subgrad 1146.153942	dualbound = 3824037.859653, lowerbound=1312506.859653, norm of subgrad 34.971650	 stepsize= 1.000000 
-dualbound = 3824090.569121, lowerbound=1311023.569121, norm of subgrad 1145.498393	dualbound = 3824090.569121, lowerbound=1311023.569121, norm of subgrad 34.579032	 stepsize= 1.000000 
-dualbound = 3824151.788836, lowerbound=1317882.788836, norm of subgrad 1148.480644	dualbound = 3824151.788836, lowerbound=1317882.788836, norm of subgrad 34.441541	 stepsize= 1.000000 
-dualbound = 3824211.641483, lowerbound=1313002.641483, norm of subgrad 1146.337490	dualbound = 3824211.641483, lowerbound=1313002.641483, norm of subgrad 33.865213	 stepsize= 1.000000 
-dualbound = 3824276.587165, lowerbound=1315513.587165, norm of subgrad 1147.438707	dualbound = 3824276.587165, lowerbound=1315513.587165, norm of subgrad 34.160587	 stepsize= 1.000000 
-dualbound = 3824341.242964, lowerbound=1308429.242964, norm of subgrad 1144.340964	dualbound = 3824341.242964, lowerbound=1308429.242964, norm of subgrad 33.936055	 stepsize= 1.000000 
-dualbound = 3824354.416553, lowerbound=1314259.416553, norm of subgrad 1146.916046	dualbound = 3824354.416553, lowerbound=1314259.416553, norm of subgrad 34.207800	 stepsize= 1.000000 
-dualbound = 3824401.745383, lowerbound=1313103.745383, norm of subgrad 1146.386386	dualbound = 3824401.745383, lowerbound=1313103.745383, norm of subgrad 33.842707	 stepsize= 1.000000 
-dualbound = 3824497.691566, lowerbound=1312609.691566, norm of subgrad 1146.186587	dualbound = 3824497.691566, lowerbound=1312609.691566, norm of subgrad 35.070589	 stepsize= 1.000000 
-dualbound = 3824525.619530, lowerbound=1319122.619530, norm of subgrad 1149.032036	dualbound = 3824525.619530, lowerbound=1319122.619530, norm of subgrad 34.350080	 stepsize= 1.000000 
-dualbound = 3824603.102135, lowerbound=1316921.102135, norm of subgrad 1148.065809	dualbound = 3824603.102135, lowerbound=1316921.102135, norm of subgrad 34.806359	 stepsize= 1.000000 
-dualbound = 3824633.179027, lowerbound=1320498.179027, norm of subgrad 1149.616101	dualbound = 3824633.179027, lowerbound=1320498.179027, norm of subgrad 33.898037	 stepsize= 1.000000 
-dualbound = 3824707.096052, lowerbound=1309605.096052, norm of subgrad 1144.851124	dualbound = 3824707.096052, lowerbound=1309605.096052, norm of subgrad 33.954632	 stepsize= 1.000000 
-dualbound = 3824755.022947, lowerbound=1307656.022947, norm of subgrad 1143.983402	dualbound = 3824755.022947, lowerbound=1307656.022947, norm of subgrad 33.014041	 stepsize= 1.000000 
-dualbound = 3824818.177971, lowerbound=1310643.177971, norm of subgrad 1145.322740	dualbound = 3824818.177971, lowerbound=1310643.177971, norm of subgrad 34.411554	 stepsize= 1.000000 
-dualbound = 3824876.059066, lowerbound=1314302.059066, norm of subgrad 1146.902376	dualbound = 3824876.059066, lowerbound=1314302.059066, norm of subgrad 33.776931	 stepsize= 1.000000 
-dualbound = 3824924.658500, lowerbound=1310427.658500, norm of subgrad 1145.226029	dualbound = 3824924.658500, lowerbound=1310427.658500, norm of subgrad 34.111573	 stepsize= 1.000000 
-dualbound = 3824993.579520, lowerbound=1315756.579520, norm of subgrad 1147.524108	dualbound = 3824993.579520, lowerbound=1315756.579520, norm of subgrad 33.524931	 stepsize= 1.000000 
-dualbound = 3825039.160645, lowerbound=1314978.160645, norm of subgrad 1147.207549	dualbound = 3825039.160645, lowerbound=1314978.160645, norm of subgrad 33.949685	 stepsize= 1.000000 
-dualbound = 3825085.044518, lowerbound=1316981.044518, norm of subgrad 1148.071446	dualbound = 3825085.044518, lowerbound=1316981.044518, norm of subgrad 33.658340	 stepsize= 1.000000 
-dualbound = 3825132.646274, lowerbound=1309596.646274, norm of subgrad 1144.892854	dualbound = 3825132.646274, lowerbound=1309596.646274, norm of subgrad 35.079934	 stepsize= 1.000000 
-dualbound = 3825189.900889, lowerbound=1314687.900889, norm of subgrad 1147.102829	dualbound = 3825189.900889, lowerbound=1314687.900889, norm of subgrad 34.846156	 stepsize= 1.000000 
-dualbound = 3825241.603260, lowerbound=1319073.603260, norm of subgrad 1149.004179	dualbound = 3825241.603260, lowerbound=1319073.603260, norm of subgrad 34.477563	 stepsize= 1.000000 
-dualbound = 3825322.886237, lowerbound=1316212.886237, norm of subgrad 1147.758200	dualbound = 3825322.886237, lowerbound=1316212.886237, norm of subgrad 34.889583	 stepsize= 1.000000 
-dualbound = 3825346.062053, lowerbound=1318063.062053, norm of subgrad 1148.554771	dualbound = 3825346.062053, lowerbound=1318063.062053, norm of subgrad 33.736861	 stepsize= 1.000000 
-dualbound = 3825427.912999, lowerbound=1316341.912999, norm of subgrad 1147.824862	dualbound = 3825427.912999, lowerbound=1316341.912999, norm of subgrad 35.239906	 stepsize= 1.000000 
-dualbound = 3825441.840233, lowerbound=1316279.840233, norm of subgrad 1147.793466	dualbound = 3825441.840233, lowerbound=1316279.840233, norm of subgrad 34.116378	 stepsize= 1.000000 
-dualbound = 3825524.066819, lowerbound=1316065.066819, norm of subgrad 1147.694239	dualbound = 3825524.066819, lowerbound=1316065.066819, norm of subgrad 34.917425	 stepsize= 1.000000 
-dualbound = 3825567.594584, lowerbound=1318410.594584, norm of subgrad 1148.714322	dualbound = 3825567.594584, lowerbound=1318410.594584, norm of subgrad 34.315124	 stepsize= 1.000000 
-dualbound = 3825626.953239, lowerbound=1315273.953239, norm of subgrad 1147.366094	dualbound = 3825626.953239, lowerbound=1315273.953239, norm of subgrad 35.133441	 stepsize= 1.000000 
-dualbound = 3825659.019849, lowerbound=1311853.019849, norm of subgrad 1145.864748	dualbound = 3825659.019849, lowerbound=1311853.019849, norm of subgrad 34.424796	 stepsize= 1.000000 
-dualbound = 3825719.561852, lowerbound=1316451.561852, norm of subgrad 1147.880465	dualbound = 3825719.561852, lowerbound=1316451.561852, norm of subgrad 35.192925	 stepsize= 1.000000 
-dualbound = 3825768.551049, lowerbound=1311043.551049, norm of subgrad 1145.544653	dualbound = 3825768.551049, lowerbound=1311043.551049, norm of subgrad 35.748975	 stepsize= 1.000000 
-dualbound = 3825802.522973, lowerbound=1315906.522973, norm of subgrad 1147.660892	dualbound = 3825802.522973, lowerbound=1315906.522973, norm of subgrad 35.397343	 stepsize= 1.000000 
-dualbound = 3825881.963339, lowerbound=1315308.963339, norm of subgrad 1147.357818	dualbound = 3825881.963339, lowerbound=1315308.963339, norm of subgrad 34.647372	 stepsize= 1.000000 
-dualbound = 3825950.328717, lowerbound=1314540.328717, norm of subgrad 1146.988373	dualbound = 3825950.328717, lowerbound=1314540.328717, norm of subgrad 33.322145	 stepsize= 1.000000 
-dualbound = 3826010.615767, lowerbound=1314407.615767, norm of subgrad 1146.957112	dualbound = 3826010.615767, lowerbound=1314407.615767, norm of subgrad 34.106994	 stepsize= 1.000000 
-dualbound = 3826053.159734, lowerbound=1315642.159734, norm of subgrad 1147.485581	dualbound = 3826053.159734, lowerbound=1315642.159734, norm of subgrad 33.519307	 stepsize= 1.000000 
-dualbound = 3826119.754641, lowerbound=1317691.754641, norm of subgrad 1148.380057	dualbound = 3826119.754641, lowerbound=1317691.754641, norm of subgrad 33.935157	 stepsize= 1.000000 
-dualbound = 3826179.888665, lowerbound=1310551.888665, norm of subgrad 1145.275028	dualbound = 3826179.888665, lowerbound=1310551.888665, norm of subgrad 34.104751	 stepsize= 1.000000 
-dualbound = 3826209.394177, lowerbound=1315831.394178, norm of subgrad 1147.607683	dualbound = 3826209.394177, lowerbound=1315831.394178, norm of subgrad 34.662740	 stepsize= 1.000000 
-dualbound = 3826266.095836, lowerbound=1312033.095836, norm of subgrad 1145.948121	dualbound = 3826266.095836, lowerbound=1312033.095836, norm of subgrad 34.938541	 stepsize= 1.000000 
-dualbound = 3826312.467573, lowerbound=1317959.467573, norm of subgrad 1148.504448	dualbound = 3826312.467573, lowerbound=1317959.467573, norm of subgrad 33.902385	 stepsize= 1.000000 
-dualbound = 3826386.466410, lowerbound=1315456.466410, norm of subgrad 1147.452163	dualbound = 3826386.466410, lowerbound=1315456.466410, norm of subgrad 35.552761	 stepsize= 1.000000 
-dualbound = 3826423.732738, lowerbound=1319168.732738, norm of subgrad 1149.045575	dualbound = 3826423.732738, lowerbound=1319168.732738, norm of subgrad 34.267570	 stepsize= 1.000000 
-dualbound = 3826477.306645, lowerbound=1313677.306645, norm of subgrad 1146.663118	dualbound = 3826477.306645, lowerbound=1313677.306645, norm of subgrad 34.822032	 stepsize= 1.000000 
-dualbound = 3826537.144125, lowerbound=1314571.144125, norm of subgrad 1147.068936	dualbound = 3826537.144125, lowerbound=1314571.144125, norm of subgrad 35.437797	 stepsize= 1.000000 
-dualbound = 3826574.625359, lowerbound=1317154.625359, norm of subgrad 1148.184056	dualbound = 3826574.625359, lowerbound=1317154.625359, norm of subgrad 34.777597	 stepsize= 1.000000 
-dualbound = 3826651.216020, lowerbound=1318252.216020, norm of subgrad 1148.651477	dualbound = 3826651.216020, lowerbound=1318252.216020, norm of subgrad 34.994152	 stepsize= 1.000000 
-dualbound = 3826685.625177, lowerbound=1313331.625177, norm of subgrad 1146.526330	dualbound = 3826685.625177, lowerbound=1313331.625177, norm of subgrad 35.005845	 stepsize= 1.000000 
-dualbound = 3826752.696785, lowerbound=1320514.696785, norm of subgrad 1149.640682	dualbound = 3826752.696785, lowerbound=1320514.696785, norm of subgrad 35.015305	 stepsize= 1.000000 
-dualbound = 3826785.621844, lowerbound=1310341.621844, norm of subgrad 1145.212916	dualbound = 3826785.621844, lowerbound=1310341.621844, norm of subgrad 34.697623	 stepsize= 1.000000 
-dualbound = 3826875.010375, lowerbound=1311385.010375, norm of subgrad 1145.637818	dualbound = 3826875.010375, lowerbound=1311385.010375, norm of subgrad 34.502008	 stepsize= 1.000000 
-dualbound = 3826900.557954, lowerbound=1319719.557954, norm of subgrad 1149.296114	dualbound = 3826900.557954, lowerbound=1319719.557954, norm of subgrad 34.460812	 stepsize= 1.000000 
-dualbound = 3826967.715608, lowerbound=1313502.715608, norm of subgrad 1146.569542	dualbound = 3826967.715608, lowerbound=1313502.715608, norm of subgrad 34.440640	 stepsize= 1.000000 
-dualbound = 3827044.128822, lowerbound=1316462.128822, norm of subgrad 1147.857190	dualbound = 3827044.128822, lowerbound=1316462.128822, norm of subgrad 34.502365	 stepsize= 1.000000 
-dualbound = 3827067.468179, lowerbound=1311652.468179, norm of subgrad 1145.768069	dualbound = 3827067.468179, lowerbound=1311652.468179, norm of subgrad 33.990283	 stepsize= 1.000000 
-dualbound = 3827132.449224, lowerbound=1314757.449224, norm of subgrad 1147.133580	dualbound = 3827132.449224, lowerbound=1314757.449224, norm of subgrad 34.971146	 stepsize= 1.000000 
-dualbound = 3827184.707266, lowerbound=1316321.707266, norm of subgrad 1147.816495	dualbound = 3827184.707266, lowerbound=1316321.707266, norm of subgrad 34.831854	 stepsize= 1.000000 
-dualbound = 3827242.586521, lowerbound=1316467.586521, norm of subgrad 1147.846500	dualbound = 3827242.586521, lowerbound=1316467.586521, norm of subgrad 33.791704	 stepsize= 1.000000 
-dualbound = 3827330.559360, lowerbound=1324338.559360, norm of subgrad 1151.261291	dualbound = 3827330.559360, lowerbound=1324338.559360, norm of subgrad 33.940725	 stepsize= 1.000000 
-dualbound = 3827363.724399, lowerbound=1315026.724399, norm of subgrad 1147.195591	dualbound = 3827363.724399, lowerbound=1315026.724399, norm of subgrad 32.621543	 stepsize= 1.000000 
-dualbound = 3827425.083645, lowerbound=1317337.083645, norm of subgrad 1148.250445	dualbound = 3827425.083645, lowerbound=1317337.083645, norm of subgrad 34.689469	 stepsize= 1.000000 
-dualbound = 3827442.698397, lowerbound=1318771.698397, norm of subgrad 1148.854951	dualbound = 3827442.698397, lowerbound=1318771.698397, norm of subgrad 33.370867	 stepsize= 1.000000 
-dualbound = 3827538.256918, lowerbound=1311517.256918, norm of subgrad 1145.685060	dualbound = 3827538.256918, lowerbound=1311517.256918, norm of subgrad 34.242642	 stepsize= 1.000000 
-dualbound = 3827577.115979, lowerbound=1317931.115979, norm of subgrad 1148.483398	dualbound = 3827577.115979, lowerbound=1317931.115979, norm of subgrad 33.494165	 stepsize= 1.000000 
-dualbound = 3827633.291783, lowerbound=1321947.291783, norm of subgrad 1150.277919	dualbound = 3827633.291783, lowerbound=1321947.291783, norm of subgrad 35.329532	 stepsize= 1.000000 
-dualbound = 3827650.889490, lowerbound=1315935.889490, norm of subgrad 1147.644496	dualbound = 3827650.889490, lowerbound=1315935.889490, norm of subgrad 34.199382	 stepsize= 1.000000 
-dualbound = 3827732.965238, lowerbound=1316702.965238, norm of subgrad 1147.951203	dualbound = 3827732.965238, lowerbound=1316702.965238, norm of subgrad 34.220984	 stepsize= 1.000000 
-dualbound = 3827788.027073, lowerbound=1324418.027073, norm of subgrad 1151.315781	dualbound = 3827788.027073, lowerbound=1324418.027073, norm of subgrad 34.133002	 stepsize= 1.000000 
-dualbound = 3827838.987704, lowerbound=1314818.987704, norm of subgrad 1147.168683	dualbound = 3827838.987704, lowerbound=1314818.987704, norm of subgrad 35.042269	 stepsize= 1.000000 
-dualbound = 3827880.317861, lowerbound=1318583.317861, norm of subgrad 1148.795594	dualbound = 3827880.317861, lowerbound=1318583.317861, norm of subgrad 34.486666	 stepsize= 1.000000 
-dualbound = 3827940.202692, lowerbound=1315779.202692, norm of subgrad 1147.575794	dualbound = 3827940.202692, lowerbound=1315779.202692, norm of subgrad 34.797770	 stepsize= 1.000000 
-dualbound = 3827970.218333, lowerbound=1317475.218333, norm of subgrad 1148.329752	dualbound = 3827970.218333, lowerbound=1317475.218333, norm of subgrad 34.871416	 stepsize= 1.000000 
-dualbound = 3828047.940749, lowerbound=1320475.940749, norm of subgrad 1149.611213	dualbound = 3828047.940749, lowerbound=1320475.940749, norm of subgrad 34.752301	 stepsize= 1.000000 
-dualbound = 3828076.640151, lowerbound=1318032.640151, norm of subgrad 1148.547187	dualbound = 3828076.640151, lowerbound=1318032.640151, norm of subgrad 34.010284	 stepsize= 1.000000 
-dualbound = 3828170.472628, lowerbound=1311331.472628, norm of subgrad 1145.609651	dualbound = 3828170.472628, lowerbound=1311331.472628, norm of subgrad 34.406867	 stepsize= 1.000000 
-dualbound = 3828215.762053, lowerbound=1317842.762053, norm of subgrad 1148.466265	dualbound = 3828215.762053, lowerbound=1317842.762053, norm of subgrad 34.311651	 stepsize= 1.000000 
-dualbound = 3828267.420077, lowerbound=1317483.420077, norm of subgrad 1148.314164	dualbound = 3828267.420077, lowerbound=1317483.420077, norm of subgrad 34.549356	 stepsize= 1.000000 
-dualbound = 3828308.732983, lowerbound=1318491.732983, norm of subgrad 1148.762261	dualbound = 3828308.732983, lowerbound=1318491.732983, norm of subgrad 34.703212	 stepsize= 1.000000 
-dualbound = 3828376.224993, lowerbound=1316284.224993, norm of subgrad 1147.784050	dualbound = 3828376.224993, lowerbound=1316284.224993, norm of subgrad 34.517995	 stepsize= 1.000000 
-dualbound = 3828436.084948, lowerbound=1316164.084948, norm of subgrad 1147.748267	dualbound = 3828436.084948, lowerbound=1316164.084948, norm of subgrad 34.955113	 stepsize= 1.000000 
-dualbound = 3828477.469271, lowerbound=1320967.469271, norm of subgrad 1149.841932	dualbound = 3828477.469271, lowerbound=1320967.469271, norm of subgrad 34.790578	 stepsize= 1.000000 
-dualbound = 3828541.662205, lowerbound=1314838.662205, norm of subgrad 1147.155466	dualbound = 3828541.662205, lowerbound=1314838.662205, norm of subgrad 34.513663	 stepsize= 1.000000 
-dualbound = 3828608.187070, lowerbound=1318331.187070, norm of subgrad 1148.646241	dualbound = 3828608.187070, lowerbound=1318331.187070, norm of subgrad 33.519022	 stepsize= 1.000000 
-dualbound = 3828659.630514, lowerbound=1314979.630514, norm of subgrad 1147.205139	dualbound = 3828659.630514, lowerbound=1314979.630514, norm of subgrad 33.932926	 stepsize= 1.000000 
-dualbound = 3828699.543921, lowerbound=1319260.543921, norm of subgrad 1149.080739	dualbound = 3828699.543921, lowerbound=1319260.543921, norm of subgrad 34.145474	 stepsize= 1.000000 
-dualbound = 3828737.598917, lowerbound=1316884.598917, norm of subgrad 1148.045556	dualbound = 3828737.598917, lowerbound=1316884.598917, norm of subgrad 34.088928	 stepsize= 1.000000 
-dualbound = 3828807.259689, lowerbound=1318522.259689, norm of subgrad 1148.755962	dualbound = 3828807.259689, lowerbound=1318522.259689, norm of subgrad 34.462455	 stepsize= 1.000000 
-dualbound = 3828841.006186, lowerbound=1318056.006186, norm of subgrad 1148.588267	dualbound = 3828841.006186, lowerbound=1318056.006186, norm of subgrad 35.110490	 stepsize= 1.000000 
-dualbound = 3828886.396579, lowerbound=1317864.396579, norm of subgrad 1148.498322	dualbound = 3828886.396579, lowerbound=1317864.396579, norm of subgrad 35.062664	 stepsize= 1.000000 
-dualbound = 3828953.593400, lowerbound=1320074.593400, norm of subgrad 1149.453171	dualbound = 3828953.593400, lowerbound=1320074.593400, norm of subgrad 35.145367	 stepsize= 1.000000 
-dualbound = 3829012.670644, lowerbound=1320448.670644, norm of subgrad 1149.584129	dualbound = 3829012.670644, lowerbound=1320448.670644, norm of subgrad 33.971712	 stepsize= 1.000000 
-dualbound = 3829087.248159, lowerbound=1317344.248159, norm of subgrad 1148.254000	dualbound = 3829087.248159, lowerbound=1317344.248159, norm of subgrad 34.893803	 stepsize= 1.000000 
-dualbound = 3829121.680294, lowerbound=1320864.680294, norm of subgrad 1149.786363	dualbound = 3829121.680294, lowerbound=1320864.680294, norm of subgrad 34.328299	 stepsize= 1.000000 
-dualbound = 3829162.731928, lowerbound=1318227.731928, norm of subgrad 1148.670854	dualbound = 3829162.731928, lowerbound=1318227.731928, norm of subgrad 35.469024	 stepsize= 1.000000 
-dualbound = 3829219.774446, lowerbound=1314903.774446, norm of subgrad 1147.173385	dualbound = 3829219.774446, lowerbound=1314903.774446, norm of subgrad 34.059397	 stepsize= 1.000000 
-dualbound = 3829297.156294, lowerbound=1316882.156294, norm of subgrad 1148.014876	dualbound = 3829297.156294, lowerbound=1316882.156294, norm of subgrad 33.665737	 stepsize= 1.000000 
-dualbound = 3829336.751939, lowerbound=1316920.751939, norm of subgrad 1148.097013	dualbound = 3829336.751939, lowerbound=1316920.751939, norm of subgrad 35.292997	 stepsize= 1.000000 
-dualbound = 3829375.171599, lowerbound=1318094.171599, norm of subgrad 1148.583115	dualbound = 3829375.171599, lowerbound=1318094.171599, norm of subgrad 34.458956	 stepsize= 1.000000 
-dualbound = 3829448.049262, lowerbound=1316602.049262, norm of subgrad 1147.934253	dualbound = 3829448.049262, lowerbound=1316602.049262, norm of subgrad 34.983963	 stepsize= 1.000000 
-dualbound = 3829493.271197, lowerbound=1315511.271197, norm of subgrad 1147.456871	dualbound = 3829493.271197, lowerbound=1315511.271197, norm of subgrad 34.514083	 stepsize= 1.000000 
-dualbound = 3829566.241477, lowerbound=1319158.241477, norm of subgrad 1149.039269	dualbound = 3829566.241477, lowerbound=1319158.241477, norm of subgrad 34.727083	 stepsize= 1.000000 
-dualbound = 3829610.604407, lowerbound=1317676.604407, norm of subgrad 1148.388264	dualbound = 3829610.604407, lowerbound=1317676.604407, norm of subgrad 34.108107	 stepsize= 1.000000 
-dualbound = 3829671.202298, lowerbound=1316340.202298, norm of subgrad 1147.796673	dualbound = 3829671.202298, lowerbound=1316340.202298, norm of subgrad 34.023490	 stepsize= 1.000000 
-dualbound = 3829703.413869, lowerbound=1321618.413869, norm of subgrad 1150.113218	dualbound = 3829703.413869, lowerbound=1321618.413869, norm of subgrad 34.266771	 stepsize= 1.000000 
-dualbound = 3829774.658998, lowerbound=1316228.658998, norm of subgrad 1147.728478	dualbound = 3829774.658998, lowerbound=1316228.658998, norm of subgrad 33.514849	 stepsize= 1.000000 
-dualbound = 3829836.880210, lowerbound=1323293.880210, norm of subgrad 1150.814008	dualbound = 3829836.880210, lowerbound=1323293.880210, norm of subgrad 33.781966	 stepsize= 1.000000 
-dualbound = 3829877.053148, lowerbound=1318247.053148, norm of subgrad 1148.640089	dualbound = 3829877.053148, lowerbound=1318247.053148, norm of subgrad 34.163913	 stepsize= 1.000000 
-dualbound = 3829927.117846, lowerbound=1315089.117846, norm of subgrad 1147.262445	dualbound = 3829927.117846, lowerbound=1315089.117846, norm of subgrad 34.235430	 stepsize= 1.000000 
-dualbound = 3829975.836725, lowerbound=1318533.836725, norm of subgrad 1148.779281	dualbound = 3829975.836725, lowerbound=1318533.836725, norm of subgrad 34.766635	 stepsize= 1.000000 
-dualbound = 3830022.529113, lowerbound=1319193.529113, norm of subgrad 1149.048967	dualbound = 3830022.529113, lowerbound=1319193.529113, norm of subgrad 34.156879	 stepsize= 1.000000 
-dualbound = 3830091.659668, lowerbound=1320724.659668, norm of subgrad 1149.727646	dualbound = 3830091.659668, lowerbound=1320724.659668, norm of subgrad 34.901727	 stepsize= 1.000000 
-dualbound = 3830134.206091, lowerbound=1317144.206091, norm of subgrad 1148.187792	dualbound = 3830134.206091, lowerbound=1317144.206091, norm of subgrad 35.121880	 stepsize= 1.000000 
-dualbound = 3830174.716391, lowerbound=1318543.716391, norm of subgrad 1148.787934	dualbound = 3830174.716391, lowerbound=1318543.716391, norm of subgrad 34.792389	 stepsize= 1.000000 
-dualbound = 3830243.634725, lowerbound=1312497.634725, norm of subgrad 1146.129851	dualbound = 3830243.634725, lowerbound=1312497.634725, norm of subgrad 34.422643	 stepsize= 1.000000 
-dualbound = 3830304.930616, lowerbound=1319921.930616, norm of subgrad 1149.372407	dualbound = 3830304.930616, lowerbound=1319921.930616, norm of subgrad 34.587511	 stepsize= 1.000000 
-dualbound = 3830332.524608, lowerbound=1314781.524608, norm of subgrad 1147.155841	dualbound = 3830332.524608, lowerbound=1314781.524608, norm of subgrad 34.822320	 stepsize= 1.000000 
-dualbound = 3830402.042061, lowerbound=1322413.042061, norm of subgrad 1150.439065	dualbound = 3830402.042061, lowerbound=1322413.042061, norm of subgrad 34.154318	 stepsize= 1.000000 
-dualbound = 3830460.056510, lowerbound=1316591.056510, norm of subgrad 1147.886779	dualbound = 3830460.056510, lowerbound=1316591.056510, norm of subgrad 33.331883	 stepsize= 1.000000 
-dualbound = 3830522.963012, lowerbound=1318538.963012, norm of subgrad 1148.754962	dualbound = 3830522.963012, lowerbound=1318538.963012, norm of subgrad 34.086750	 stepsize= 1.000000 
-dualbound = 3830582.170599, lowerbound=1315716.170599, norm of subgrad 1147.513037	dualbound = 3830582.170599, lowerbound=1315716.170599, norm of subgrad 33.603684	 stepsize= 1.000000 
-dualbound = 3830640.171190, lowerbound=1321312.171190, norm of subgrad 1149.947899	dualbound = 3830640.171190, lowerbound=1321312.171190, norm of subgrad 33.555932	 stepsize= 1.000000 
-dualbound = 3830707.748312, lowerbound=1316169.748312, norm of subgrad 1147.688873	dualbound = 3830707.748312, lowerbound=1316169.748312, norm of subgrad 32.978434	 stepsize= 1.000000 
-dualbound = 3830764.780482, lowerbound=1324013.780482, norm of subgrad 1151.119794	dualbound = 3830764.780482, lowerbound=1324013.780482, norm of subgrad 33.466882	 stepsize= 1.000000 
-dualbound = 3830781.082024, lowerbound=1312873.082024, norm of subgrad 1146.281415	dualbound = 3830781.082024, lowerbound=1312873.082024, norm of subgrad 33.231033	 stepsize= 1.000000 
-dualbound = 3830840.038724, lowerbound=1326503.038724, norm of subgrad 1152.209199	dualbound = 3830840.038724, lowerbound=1326503.038724, norm of subgrad 33.792850	 stepsize= 1.000000 
-dualbound = 3830882.651653, lowerbound=1315322.651653, norm of subgrad 1147.362476	dualbound = 3830882.651653, lowerbound=1315322.651653, norm of subgrad 34.067770	 stepsize= 1.000000 
-dualbound = 3830928.989186, lowerbound=1318691.989186, norm of subgrad 1148.828964	dualbound = 3830928.989186, lowerbound=1318691.989186, norm of subgrad 34.093072	 stepsize= 1.000000 
-dualbound = 3830964.748998, lowerbound=1320890.748998, norm of subgrad 1149.812484	dualbound = 3830964.748998, lowerbound=1320890.748998, norm of subgrad 34.839056	 stepsize= 1.000000 
-dualbound = 3831031.128315, lowerbound=1317371.128315, norm of subgrad 1148.262657	dualbound = 3831031.128315, lowerbound=1317371.128315, norm of subgrad 34.675342	 stepsize= 1.000000 
-dualbound = 3831061.830827, lowerbound=1317322.830827, norm of subgrad 1148.242497	dualbound = 3831061.830827, lowerbound=1317322.830827, norm of subgrad 34.186291	 stepsize= 1.000000 
-dualbound = 3831135.241111, lowerbound=1314078.241111, norm of subgrad 1146.810464	dualbound = 3831135.241111, lowerbound=1314078.241111, norm of subgrad 34.196641	 stepsize= 1.000000 
-dualbound = 3831188.694227, lowerbound=1317646.694227, norm of subgrad 1148.359567	dualbound = 3831188.694227, lowerbound=1317646.694227, norm of subgrad 33.711320	 stepsize= 1.000000 
-dualbound = 3831266.570578, lowerbound=1324945.570578, norm of subgrad 1151.538350	dualbound = 3831266.570578, lowerbound=1324945.570578, norm of subgrad 34.247282	 stepsize= 1.000000 
-dualbound = 3831321.606074, lowerbound=1317433.606074, norm of subgrad 1148.255897	dualbound = 3831321.606074, lowerbound=1317433.606074, norm of subgrad 33.362187	 stepsize= 1.000000 
-dualbound = 3831375.713397, lowerbound=1316279.713397, norm of subgrad 1147.786876	dualbound = 3831375.713397, lowerbound=1316279.713397, norm of subgrad 34.483435	 stepsize= 1.000000 
-dualbound = 3831400.329784, lowerbound=1319148.329784, norm of subgrad 1149.043659	dualbound = 3831400.329784, lowerbound=1319148.329784, norm of subgrad 34.316416	 stepsize= 1.000000 
-dualbound = 3831456.162774, lowerbound=1322548.162774, norm of subgrad 1150.526037	dualbound = 3831456.162774, lowerbound=1322548.162774, norm of subgrad 34.897464	 stepsize= 1.000000 
-dualbound = 3831505.382785, lowerbound=1313351.382785, norm of subgrad 1146.515758	dualbound = 3831505.382785, lowerbound=1313351.382785, norm of subgrad 34.586414	 stepsize= 1.000000 
-dualbound = 3831559.701512, lowerbound=1316711.701512, norm of subgrad 1147.987239	dualbound = 3831559.701512, lowerbound=1316711.701512, norm of subgrad 34.890095	 stepsize= 1.000000 
-dualbound = 3831606.756106, lowerbound=1318773.756106, norm of subgrad 1148.887617	dualbound = 3831606.756106, lowerbound=1318773.756106, norm of subgrad 34.871974	 stepsize= 1.000000 
-dualbound = 3831667.146989, lowerbound=1316038.146989, norm of subgrad 1147.680769	dualbound = 3831667.146989, lowerbound=1316038.146989, norm of subgrad 34.545490	 stepsize= 1.000000 
-dualbound = 3831729.729985, lowerbound=1313899.729985, norm of subgrad 1146.729144	dualbound = 3831729.729985, lowerbound=1313899.729985, norm of subgrad 33.920245	 stepsize= 1.000000 
-dualbound = 3831798.033878, lowerbound=1319807.033878, norm of subgrad 1149.302847	dualbound = 3831798.033878, lowerbound=1319807.033878, norm of subgrad 34.033864	 stepsize= 1.000000 
-dualbound = 3831842.715937, lowerbound=1312910.715937, norm of subgrad 1146.309171	dualbound = 3831842.715937, lowerbound=1312910.715937, norm of subgrad 34.039419	 stepsize= 1.000000 
-dualbound = 3831883.014781, lowerbound=1316947.014781, norm of subgrad 1148.079708	dualbound = 3831883.014781, lowerbound=1316947.014781, norm of subgrad 34.355478	 stepsize= 1.000000 
-dualbound = 3831934.723242, lowerbound=1313524.723242, norm of subgrad 1146.574343	dualbound = 3831934.723242, lowerbound=1313524.723242, norm of subgrad 34.054493	 stepsize= 1.000000 
-dualbound = 3831996.461134, lowerbound=1323814.461134, norm of subgrad 1151.063187	dualbound = 3831996.461134, lowerbound=1323814.461134, norm of subgrad 34.550512	 stepsize= 1.000000 
-dualbound = 3832062.474846, lowerbound=1310237.474846, norm of subgrad 1145.113739	dualbound = 3832062.474846, lowerbound=1310237.474846, norm of subgrad 33.376844	 stepsize= 1.000000 
-dualbound = 3832108.018611, lowerbound=1321687.018611, norm of subgrad 1150.103047	dualbound = 3832108.018611, lowerbound=1321687.018611, norm of subgrad 33.098999	 stepsize= 1.000000 
-dualbound = 3832173.739248, lowerbound=1312523.739248, norm of subgrad 1146.123789	dualbound = 3832173.739248, lowerbound=1312523.739248, norm of subgrad 33.789357	 stepsize= 1.000000 
-dualbound = 3832234.215820, lowerbound=1317140.215820, norm of subgrad 1148.154265	dualbound = 3832234.215820, lowerbound=1317140.215820, norm of subgrad 34.328947	 stepsize= 1.000000 
-dualbound = 3832257.430150, lowerbound=1323609.430150, norm of subgrad 1151.009744	dualbound = 3832257.430150, lowerbound=1323609.430150, norm of subgrad 35.174058	 stepsize= 1.000000 
-dualbound = 3832310.758774, lowerbound=1317253.758774, norm of subgrad 1148.188033	dualbound = 3832310.758774, lowerbound=1317253.758774, norm of subgrad 33.694638	 stepsize= 1.000000 
-dualbound = 3832367.617242, lowerbound=1321865.617242, norm of subgrad 1150.220247	dualbound = 3832367.617242, lowerbound=1321865.617242, norm of subgrad 34.610092	 stepsize= 1.000000 
-dualbound = 3832430.480590, lowerbound=1315126.480590, norm of subgrad 1147.312286	dualbound = 3832430.480590, lowerbound=1315126.480590, norm of subgrad 35.522716	 stepsize= 1.000000 
-dualbound = 3832452.452052, lowerbound=1317042.452052, norm of subgrad 1148.121706	dualbound = 3832452.452052, lowerbound=1317042.452052, norm of subgrad 34.102367	 stepsize= 1.000000 
-dualbound = 3832522.649970, lowerbound=1316295.649970, norm of subgrad 1147.792076	dualbound = 3832522.649970, lowerbound=1316295.649970, norm of subgrad 34.658302	 stepsize= 1.000000 
-dualbound = 3832576.940354, lowerbound=1323380.940354, norm of subgrad 1150.875728	dualbound = 3832576.940354, lowerbound=1323380.940354, norm of subgrad 34.471588	 stepsize= 1.000000 
-dualbound = 3832640.789297, lowerbound=1318511.789297, norm of subgrad 1148.761851	dualbound = 3832640.789297, lowerbound=1318511.789297, norm of subgrad 34.725336	 stepsize= 1.000000 
-dualbound = 3832672.022697, lowerbound=1317255.022697, norm of subgrad 1148.213840	dualbound = 3832672.022697, lowerbound=1317255.022697, norm of subgrad 34.223287	 stepsize= 1.000000 
-dualbound = 3832752.334377, lowerbound=1317623.334377, norm of subgrad 1148.373778	dualbound = 3832752.334377, lowerbound=1317623.334377, norm of subgrad 34.918644	 stepsize= 1.000000 
-dualbound = 3832805.889139, lowerbound=1318452.889139, norm of subgrad 1148.705310	dualbound = 3832805.889139, lowerbound=1318452.889139, norm of subgrad 33.534382	 stepsize= 1.000000 
-dualbound = 3832852.055005, lowerbound=1321832.055005, norm of subgrad 1150.208266	dualbound = 3832852.055005, lowerbound=1321832.055005, norm of subgrad 34.542233	 stepsize= 1.000000 
-dualbound = 3832891.630994, lowerbound=1317792.630994, norm of subgrad 1148.458807	dualbound = 3832891.630994, lowerbound=1317792.630994, norm of subgrad 34.707002	 stepsize= 1.000000 
-dualbound = 3832954.689854, lowerbound=1321693.689854, norm of subgrad 1150.167679	dualbound = 3832954.689854, lowerbound=1321693.689854, norm of subgrad 35.426810	 stepsize= 1.000000 
-dualbound = 3833009.267669, lowerbound=1317542.267669, norm of subgrad 1148.338046	dualbound = 3833009.267669, lowerbound=1317542.267669, norm of subgrad 34.533720	 stepsize= 1.000000 
-dualbound = 3833086.455159, lowerbound=1316337.455159, norm of subgrad 1147.806367	dualbound = 3833086.455159, lowerbound=1316337.455159, norm of subgrad 34.629287	 stepsize= 1.000000 
-dualbound = 3833121.576522, lowerbound=1319211.576522, norm of subgrad 1149.043766	dualbound = 3833121.576522, lowerbound=1319211.576522, norm of subgrad 33.542829	 stepsize= 1.000000 
-dualbound = 3833195.814633, lowerbound=1314591.814633, norm of subgrad 1147.062254	dualbound = 3833195.814633, lowerbound=1314591.814633, norm of subgrad 35.131725	 stepsize= 1.000000 
-dualbound = 3833221.315281, lowerbound=1321560.315281, norm of subgrad 1150.076656	dualbound = 3833221.315281, lowerbound=1321560.315281, norm of subgrad 33.786101	 stepsize= 1.000000 
-dualbound = 3833290.318784, lowerbound=1317007.318784, norm of subgrad 1148.111196	dualbound = 3833290.318784, lowerbound=1317007.318784, norm of subgrad 34.942861	 stepsize= 1.000000 
-dualbound = 3833337.216432, lowerbound=1314639.216432, norm of subgrad 1147.053711	dualbound = 3833337.216432, lowerbound=1314639.216432, norm of subgrad 33.762370	 stepsize= 1.000000 
-dualbound = 3833414.907198, lowerbound=1322970.907198, norm of subgrad 1150.654121	dualbound = 3833414.907198, lowerbound=1322970.907198, norm of subgrad 33.342027	 stepsize= 1.000000 
-dualbound = 3833444.044297, lowerbound=1316926.044297, norm of subgrad 1148.054025	dualbound = 3833444.044297, lowerbound=1316926.044297, norm of subgrad 33.632382	 stepsize= 1.000000 
-dualbound = 3833491.118547, lowerbound=1317402.118547, norm of subgrad 1148.300535	dualbound = 3833491.118547, lowerbound=1317402.118547, norm of subgrad 35.200487	 stepsize= 1.000000 
-dualbound = 3833521.344124, lowerbound=1318907.344124, norm of subgrad 1148.953151	dualbound = 3833521.344124, lowerbound=1318907.344124, norm of subgrad 34.874426	 stepsize= 1.000000 
-dualbound = 3833594.128571, lowerbound=1315612.128571, norm of subgrad 1147.521733	dualbound = 3833594.128571, lowerbound=1315612.128571, norm of subgrad 35.591915	 stepsize= 1.000000 
-dualbound = 3833622.291230, lowerbound=1318510.291230, norm of subgrad 1148.761634	dualbound = 3833622.291230, lowerbound=1318510.291230, norm of subgrad 34.222254	 stepsize= 1.000000 
-dualbound = 3833720.205344, lowerbound=1319943.205344, norm of subgrad 1149.378617	dualbound = 3833720.205344, lowerbound=1319943.205344, norm of subgrad 35.013056	 stepsize= 1.000000 
-dualbound = 3833740.493539, lowerbound=1314731.493539, norm of subgrad 1147.143624	dualbound = 3833740.493539, lowerbound=1314731.493539, norm of subgrad 35.032673	 stepsize= 1.000000 
-dualbound = 3833786.980663, lowerbound=1318421.980663, norm of subgrad 1148.716232	dualbound = 3833786.980663, lowerbound=1318421.980663, norm of subgrad 34.256198	 stepsize= 1.000000 
-dualbound = 3833876.131194, lowerbound=1321114.131194, norm of subgrad 1149.867441	dualbound = 3833876.131194, lowerbound=1321114.131194, norm of subgrad 34.207463	 stepsize= 1.000000 
-dualbound = 3833927.234686, lowerbound=1312452.234686, norm of subgrad 1146.111354	dualbound = 3833927.234686, lowerbound=1312452.234686, norm of subgrad 34.206776	 stepsize= 1.000000 
-dualbound = 3833951.542789, lowerbound=1321506.542789, norm of subgrad 1150.073277	dualbound = 3833951.542789, lowerbound=1321506.542789, norm of subgrad 34.442824	 stepsize= 1.000000 
-dualbound = 3834003.294223, lowerbound=1313496.294223, norm of subgrad 1146.602501	dualbound = 3834003.294223, lowerbound=1313496.294223, norm of subgrad 35.394229	 stepsize= 1.000000 
-dualbound = 3834069.539303, lowerbound=1323346.539303, norm of subgrad 1150.872078	dualbound = 3834069.539303, lowerbound=1323346.539303, norm of subgrad 35.017782	 stepsize= 1.000000 
-dualbound = 3834114.160535, lowerbound=1312730.160535, norm of subgrad 1146.239574	dualbound = 3834114.160535, lowerbound=1312730.160535, norm of subgrad 34.345614	 stepsize= 1.000000 
-dualbound = 3834181.757146, lowerbound=1317070.757146, norm of subgrad 1148.107468	dualbound = 3834181.757146, lowerbound=1317070.757146, norm of subgrad 33.876195	 stepsize= 1.000000 
-dualbound = 3834256.553313, lowerbound=1315679.553313, norm of subgrad 1147.495775	dualbound = 3834256.553313, lowerbound=1315679.553313, norm of subgrad 33.790474	 stepsize= 1.000000 
-dualbound = 3834309.401235, lowerbound=1321488.401235, norm of subgrad 1150.056695	dualbound = 3834309.401235, lowerbound=1321488.401235, norm of subgrad 34.566572	 stepsize= 1.000000 
-dualbound = 3834333.257534, lowerbound=1316290.257534, norm of subgrad 1147.816735	dualbound = 3834333.257534, lowerbound=1316290.257534, norm of subgrad 34.883467	 stepsize= 1.000000 
-dualbound = 3834382.944707, lowerbound=1319961.944707, norm of subgrad 1149.375894	dualbound = 3834382.944707, lowerbound=1319961.944707, norm of subgrad 33.951247	 stepsize= 1.000000 
-dualbound = 3834465.277649, lowerbound=1316256.277649, norm of subgrad 1147.765776	dualbound = 3834465.277649, lowerbound=1316256.277649, norm of subgrad 34.530174	 stepsize= 1.000000 
-dualbound = 3834493.142660, lowerbound=1322032.142660, norm of subgrad 1150.270030	dualbound = 3834493.142660, lowerbound=1322032.142660, norm of subgrad 33.419530	 stepsize= 1.000000 
-dualbound = 3834572.884131, lowerbound=1317577.884131, norm of subgrad 1148.334831	dualbound = 3834572.884131, lowerbound=1317577.884131, norm of subgrad 34.274502	 stepsize= 1.000000 
-dualbound = 3834604.025921, lowerbound=1319621.025921, norm of subgrad 1149.256293	dualbound = 3834604.025921, lowerbound=1319621.025921, norm of subgrad 34.643063	 stepsize= 1.000000 
-dualbound = 3834661.626924, lowerbound=1315907.626924, norm of subgrad 1147.608220	dualbound = 3834661.626924, lowerbound=1315907.626924, norm of subgrad 33.979420	 stepsize= 1.000000 
-dualbound = 3834737.624400, lowerbound=1323080.624400, norm of subgrad 1150.716570	dualbound = 3834737.624400, lowerbound=1323080.624400, norm of subgrad 33.823032	 stepsize= 1.000000 
-dualbound = 3834779.463296, lowerbound=1316766.463296, norm of subgrad 1147.987571	dualbound = 3834779.463296, lowerbound=1316766.463296, norm of subgrad 33.924017	 stepsize= 1.000000 
-dualbound = 3834826.623470, lowerbound=1321648.623470, norm of subgrad 1150.105484	dualbound = 3834826.623470, lowerbound=1321648.623470, norm of subgrad 33.781062	 stepsize= 1.000000 
-dualbound = 3834888.721885, lowerbound=1314140.721885, norm of subgrad 1146.829857	dualbound = 3834888.721885, lowerbound=1314140.721885, norm of subgrad 33.765343	 stepsize= 1.000000 
-dualbound = 3834924.611360, lowerbound=1323553.611360, norm of subgrad 1150.927718	dualbound = 3834924.611360, lowerbound=1323553.611360, norm of subgrad 33.419896	 stepsize= 1.000000 
-dualbound = 3834997.492699, lowerbound=1320844.492699, norm of subgrad 1149.749752	dualbound = 3834997.492699, lowerbound=1320844.492699, norm of subgrad 33.954106	 stepsize= 1.000000 
-dualbound = 3835053.752673, lowerbound=1314282.752673, norm of subgrad 1146.882188	dualbound = 3835053.752673, lowerbound=1314282.752673, norm of subgrad 33.350562	 stepsize= 1.000000 
-dualbound = 3835098.799962, lowerbound=1317582.799962, norm of subgrad 1148.357000	dualbound = 3835098.799962, lowerbound=1317582.799962, norm of subgrad 34.439037	 stepsize= 1.000000 
-dualbound = 3835122.687569, lowerbound=1316061.687569, norm of subgrad 1147.678826	dualbound = 3835122.687569, lowerbound=1316061.687569, norm of subgrad 33.598923	 stepsize= 1.000000 
-dualbound = 3835197.990650, lowerbound=1314392.990650, norm of subgrad 1146.938094	dualbound = 3835197.990650, lowerbound=1314392.990650, norm of subgrad 33.901373	 stepsize= 1.000000 
-dualbound = 3835264.458741, lowerbound=1316979.458741, norm of subgrad 1148.097321	dualbound = 3835264.458741, lowerbound=1316979.458741, norm of subgrad 34.849219	 stepsize= 1.000000 
-dualbound = 3835303.096905, lowerbound=1316552.096905, norm of subgrad 1147.925562	dualbound = 3835303.096905, lowerbound=1316552.096905, norm of subgrad 34.923318	 stepsize= 1.000000 
-dualbound = 3835349.607573, lowerbound=1319672.607573, norm of subgrad 1149.295266	dualbound = 3835349.607573, lowerbound=1319672.607573, norm of subgrad 35.404953	 stepsize= 1.000000 
-dualbound = 3835393.197000, lowerbound=1311142.197000, norm of subgrad 1145.558902	dualbound = 3835393.197000, lowerbound=1311142.197000, norm of subgrad 34.735996	 stepsize= 1.000000 
-dualbound = 3835457.958995, lowerbound=1317694.958995, norm of subgrad 1148.401915	dualbound = 3835457.958995, lowerbound=1317694.958995, norm of subgrad 34.594248	 stepsize= 1.000000 
-dualbound = 3835546.518163, lowerbound=1316812.518163, norm of subgrad 1147.992386	dualbound = 3835546.518163, lowerbound=1316812.518163, norm of subgrad 34.096322	 stepsize= 1.000000 
-dualbound = 3835587.743937, lowerbound=1316740.743937, norm of subgrad 1147.966787	dualbound = 3835587.743937, lowerbound=1316740.743937, norm of subgrad 33.589072	 stepsize= 1.000000 
-dualbound = 3835646.906188, lowerbound=1318895.906188, norm of subgrad 1148.900738	dualbound = 3835646.906188, lowerbound=1318895.906188, norm of subgrad 33.707006	 stepsize= 1.000000 
-dualbound = 3835674.293065, lowerbound=1319573.293065, norm of subgrad 1149.209421	dualbound = 3835674.293065, lowerbound=1319573.293065, norm of subgrad 33.710338	 stepsize= 1.000000 
-dualbound = 3835742.901223, lowerbound=1316797.901223, norm of subgrad 1148.003006	dualbound = 3835742.901223, lowerbound=1316797.901223, norm of subgrad 34.374528	 stepsize= 1.000000 
-dualbound = 3835796.664766, lowerbound=1318500.664766, norm of subgrad 1148.750045	dualbound = 3835796.664766, lowerbound=1318500.664766, norm of subgrad 34.347686	 stepsize= 1.000000 
-dualbound = 3835848.864330, lowerbound=1317729.864330, norm of subgrad 1148.420160	dualbound = 3835848.864330, lowerbound=1317729.864330, norm of subgrad 34.513759	 stepsize= 1.000000 
-dualbound = 3835882.848495, lowerbound=1317584.848495, norm of subgrad 1148.352232	dualbound = 3835882.848495, lowerbound=1317584.848495, norm of subgrad 34.087889	 stepsize= 1.000000 
-dualbound = 3835956.119877, lowerbound=1322824.119877, norm of subgrad 1150.641178	dualbound = 3835956.119877, lowerbound=1322824.119877, norm of subgrad 34.989590	 stepsize= 1.000000 
-dualbound = 3835978.240563, lowerbound=1316768.240563, norm of subgrad 1148.000976	dualbound = 3835978.240563, lowerbound=1316768.240563, norm of subgrad 34.060544	 stepsize= 1.000000 
-dualbound = 3836047.657611, lowerbound=1320324.657611, norm of subgrad 1149.530190	dualbound = 3836047.657611, lowerbound=1320324.657611, norm of subgrad 34.123556	 stepsize= 1.000000 
-dualbound = 3836116.675358, lowerbound=1316691.675358, norm of subgrad 1147.953255	dualbound = 3836116.675358, lowerbound=1316691.675358, norm of subgrad 34.263942	 stepsize= 1.000000 
-dualbound = 3836146.462309, lowerbound=1320158.462309, norm of subgrad 1149.472689	dualbound = 3836146.462309, lowerbound=1320158.462309, norm of subgrad 34.040960	 stepsize= 1.000000 
-dualbound = 3836196.650422, lowerbound=1319740.650422, norm of subgrad 1149.293109	dualbound = 3836196.650422, lowerbound=1319740.650422, norm of subgrad 34.412034	 stepsize= 1.000000 
-dualbound = 3836268.791674, lowerbound=1320304.791674, norm of subgrad 1149.529813	dualbound = 3836268.791674, lowerbound=1320304.791674, norm of subgrad 34.440401	 stepsize= 1.000000 
-dualbound = 3836309.710031, lowerbound=1318690.710031, norm of subgrad 1148.824926	dualbound = 3836309.710031, lowerbound=1318690.710031, norm of subgrad 33.895698	 stepsize= 1.000000 
-dualbound = 3836392.444381, lowerbound=1320126.444381, norm of subgrad 1149.449627	dualbound = 3836392.444381, lowerbound=1320126.444381, norm of subgrad 34.507019	 stepsize= 1.000000 
-dualbound = 3836420.116521, lowerbound=1319692.116521, norm of subgrad 1149.295922	dualbound = 3836420.116521, lowerbound=1319692.116521, norm of subgrad 34.880828	 stepsize= 1.000000 
-dualbound = 3836470.811807, lowerbound=1320452.811807, norm of subgrad 1149.645516	dualbound = 3836470.811807, lowerbound=1320452.811807, norm of subgrad 35.814736	 stepsize= 1.000000 
-dualbound = 3836496.680628, lowerbound=1316688.680628, norm of subgrad 1147.998554	dualbound = 3836496.680628, lowerbound=1316688.680628, norm of subgrad 35.183360	 stepsize= 1.000000 
-dualbound = 3836567.217415, lowerbound=1316742.217415, norm of subgrad 1148.038857	dualbound = 3836567.217415, lowerbound=1316742.217415, norm of subgrad 36.352947	 stepsize= 1.000000 
-dualbound = 3836614.418919, lowerbound=1319446.418919, norm of subgrad 1149.212086	dualbound = 3836614.418919, lowerbound=1319446.418919, norm of subgrad 35.905452	 stepsize= 1.000000 
-dualbound = 3836667.850137, lowerbound=1317485.850137, norm of subgrad 1148.329591	dualbound = 3836667.850137, lowerbound=1317485.850137, norm of subgrad 35.048983	 stepsize= 1.000000 
-dualbound = 3836707.981314, lowerbound=1321324.981314, norm of subgrad 1149.986514	dualbound = 3836707.981314, lowerbound=1321324.981314, norm of subgrad 34.411207	 stepsize= 1.000000 
-dualbound = 3836815.042065, lowerbound=1318959.042065, norm of subgrad 1148.920381	dualbound = 3836815.042065, lowerbound=1318959.042065, norm of subgrad 34.147632	 stepsize= 1.000000 
-dualbound = 3836848.020021, lowerbound=1318884.020021, norm of subgrad 1148.908186	dualbound = 3836848.020021, lowerbound=1318884.020021, norm of subgrad 33.748747	 stepsize= 1.000000 
-dualbound = 3836895.416845, lowerbound=1314758.416845, norm of subgrad 1147.115259	dualbound = 3836895.416845, lowerbound=1314758.416845, norm of subgrad 34.093941	 stepsize= 1.000000 
-dualbound = 3836953.584289, lowerbound=1320314.584289, norm of subgrad 1149.532768	dualbound = 3836953.584289, lowerbound=1320314.584289, norm of subgrad 34.193091	 stepsize= 1.000000 
-dualbound = 3837012.899171, lowerbound=1318823.899171, norm of subgrad 1148.885503	dualbound = 3837012.899171, lowerbound=1318823.899171, norm of subgrad 34.253684	 stepsize= 1.000000 
-dualbound = 3837035.349938, lowerbound=1320977.349938, norm of subgrad 1149.846229	dualbound = 3837035.349938, lowerbound=1320977.349938, norm of subgrad 34.517398	 stepsize= 1.000000 
-dualbound = 3837103.681959, lowerbound=1314958.681959, norm of subgrad 1147.206469	dualbound = 3837103.681959, lowerbound=1314958.681959, norm of subgrad 34.530161	 stepsize= 1.000000 
-dualbound = 3837156.618267, lowerbound=1317694.618267, norm of subgrad 1148.393930	dualbound = 3837156.618267, lowerbound=1317694.618267, norm of subgrad 34.160449	 stepsize= 1.000000 
-dualbound = 3837216.517939, lowerbound=1319271.517939, norm of subgrad 1149.060276	dualbound = 3837216.517939, lowerbound=1319271.517939, norm of subgrad 33.584218	 stepsize= 1.000000 
-dualbound = 3837294.534939, lowerbound=1315475.534939, norm of subgrad 1147.409489	dualbound = 3837294.534939, lowerbound=1315475.534939, norm of subgrad 33.926641	 stepsize= 1.000000 
-dualbound = 3837334.578989, lowerbound=1321804.578989, norm of subgrad 1150.171543	dualbound = 3837334.578989, lowerbound=1321804.578989, norm of subgrad 33.616128	 stepsize= 1.000000 
-dualbound = 3837387.641777, lowerbound=1316425.641777, norm of subgrad 1147.844346	dualbound = 3837387.641777, lowerbound=1316425.641777, norm of subgrad 34.264600	 stepsize= 1.000000 
-dualbound = 3837423.504521, lowerbound=1318897.504521, norm of subgrad 1148.907527	dualbound = 3837423.504521, lowerbound=1318897.504521, norm of subgrad 33.568776	 stepsize= 1.000000 
-dualbound = 3837495.013079, lowerbound=1317338.013079, norm of subgrad 1148.260429	dualbound = 3837495.013079, lowerbound=1317338.013079, norm of subgrad 35.149802	 stepsize= 1.000000 
-dualbound = 3837521.228536, lowerbound=1315270.228536, norm of subgrad 1147.365778	dualbound = 3837521.228536, lowerbound=1315270.228536, norm of subgrad 34.701808	 stepsize= 1.000000 
-dualbound = 3837583.064395, lowerbound=1318311.064395, norm of subgrad 1148.690152	dualbound = 3837583.064395, lowerbound=1318311.064395, norm of subgrad 35.211303	 stepsize= 1.000000 
-dualbound = 3837620.429423, lowerbound=1316691.429423, norm of subgrad 1147.968828	dualbound = 3837620.429423, lowerbound=1316691.429423, norm of subgrad 34.327322	 stepsize= 1.000000 
-dualbound = 3837697.601403, lowerbound=1321567.601403, norm of subgrad 1150.071564	dualbound = 3837697.601403, lowerbound=1321567.601403, norm of subgrad 34.266193	 stepsize= 1.000000 
-dualbound = 3837763.775297, lowerbound=1316994.775297, norm of subgrad 1148.079603	dualbound = 3837763.775297, lowerbound=1316994.775297, norm of subgrad 34.031954	 stepsize= 1.000000 
-dualbound = 3837799.843288, lowerbound=1321715.843288, norm of subgrad 1150.146010	dualbound = 3837799.843288, lowerbound=1321715.843288, norm of subgrad 34.001000	 stepsize= 1.000000 
-dualbound = 3837866.166372, lowerbound=1320295.166372, norm of subgrad 1149.525627	dualbound = 3837866.166372, lowerbound=1320295.166372, norm of subgrad 34.355830	 stepsize= 1.000000 
-dualbound = 3837929.160632, lowerbound=1316302.160632, norm of subgrad 1147.804496	dualbound = 3837929.160632, lowerbound=1316302.160632, norm of subgrad 34.871109	 stepsize= 1.000000 
-dualbound = 3837956.620920, lowerbound=1318292.620920, norm of subgrad 1148.666018	dualbound = 3837956.620920, lowerbound=1318292.620920, norm of subgrad 34.182748	 stepsize= 1.000000 
-dualbound = 3838035.716468, lowerbound=1317314.716468, norm of subgrad 1148.220674	dualbound = 3838035.716468, lowerbound=1317314.716468, norm of subgrad 34.279667	 stepsize= 1.000000 
-dualbound = 3838066.277004, lowerbound=1318773.277004, norm of subgrad 1148.868694	dualbound = 3838066.277004, lowerbound=1318773.277004, norm of subgrad 34.008242	 stepsize= 1.000000 
-dualbound = 3838130.022655, lowerbound=1314685.022655, norm of subgrad 1147.094165	dualbound = 3838130.022655, lowerbound=1314685.022655, norm of subgrad 34.695038	 stepsize= 1.000000 
-dualbound = 3838177.623185, lowerbound=1315875.623185, norm of subgrad 1147.581641	dualbound = 3838177.623185, lowerbound=1315875.623185, norm of subgrad 33.400607	 stepsize= 1.000000 
-dualbound = 3838250.420881, lowerbound=1317416.420881, norm of subgrad 1148.247979	dualbound = 3838250.420881, lowerbound=1317416.420881, norm of subgrad 33.612463	 stepsize= 1.000000 
-dualbound = 3838301.548210, lowerbound=1318754.548210, norm of subgrad 1148.848793	dualbound = 3838301.548210, lowerbound=1318754.548210, norm of subgrad 33.913527	 stepsize= 1.000000 
-dualbound = 3838358.352916, lowerbound=1320357.352916, norm of subgrad 1149.563114	dualbound = 3838358.352916, lowerbound=1320357.352916, norm of subgrad 34.565947	 stepsize= 1.000000 
-dualbound = 3838379.424843, lowerbound=1313185.424843, norm of subgrad 1146.436839	dualbound = 3838379.424843, lowerbound=1313185.424843, norm of subgrad 33.956913	 stepsize= 1.000000 
-dualbound = 3838434.734773, lowerbound=1319509.734773, norm of subgrad 1149.213964	dualbound = 3838434.734773, lowerbound=1319509.734773, norm of subgrad 35.189628	 stepsize= 1.000000 
-dualbound = 3838485.661271, lowerbound=1320504.661271, norm of subgrad 1149.631968	dualbound = 3838485.661271, lowerbound=1320504.661271, norm of subgrad 34.639955	 stepsize= 1.000000 
-dualbound = 3838546.979588, lowerbound=1319443.979588, norm of subgrad 1149.159684	dualbound = 3838546.979588, lowerbound=1319443.979588, norm of subgrad 34.428452	 stepsize= 1.000000 
-dualbound = 3838602.588766, lowerbound=1317090.588766, norm of subgrad 1148.135266	dualbound = 3838602.588766, lowerbound=1317090.588766, norm of subgrad 34.345439	 stepsize= 1.000000 
-dualbound = 3838687.787532, lowerbound=1323087.787532, norm of subgrad 1150.740973	dualbound = 3838687.787532, lowerbound=1323087.787532, norm of subgrad 34.672738	 stepsize= 1.000000 
-dualbound = 3838698.509672, lowerbound=1321414.509672, norm of subgrad 1150.038047	dualbound = 3838698.509672, lowerbound=1321414.509672, norm of subgrad 34.405263	 stepsize= 1.000000 
-dualbound = 3838768.094702, lowerbound=1317586.094702, norm of subgrad 1148.347114	dualbound = 3838768.094702, lowerbound=1317586.094702, norm of subgrad 34.417801	 stepsize= 1.000000 
-dualbound = 3838823.822342, lowerbound=1319294.822342, norm of subgrad 1149.099135	dualbound = 3838823.822342, lowerbound=1319294.822342, norm of subgrad 34.492429	 stepsize= 1.000000 
-dualbound = 3838864.558711, lowerbound=1319507.558711, norm of subgrad 1149.185172	dualbound = 3838864.558711, lowerbound=1319507.558711, norm of subgrad 34.054902	 stepsize= 1.000000 
-dualbound = 3838937.395523, lowerbound=1318525.395523, norm of subgrad 1148.742528	dualbound = 3838937.395523, lowerbound=1318525.395523, norm of subgrad 34.012304	 stepsize= 1.000000 
-dualbound = 3838977.276743, lowerbound=1313435.276743, norm of subgrad 1146.524434	dualbound = 3838977.276743, lowerbound=1313435.276743, norm of subgrad 33.509420	 stepsize= 1.000000 
-dualbound = 3839039.795841, lowerbound=1318696.795841, norm of subgrad 1148.808860	dualbound = 3839039.795841, lowerbound=1318696.795841, norm of subgrad 33.578551	 stepsize= 1.000000 
-dualbound = 3839088.448282, lowerbound=1317587.448282, norm of subgrad 1148.344656	dualbound = 3839088.448282, lowerbound=1317587.448282, norm of subgrad 34.009593	 stepsize= 1.000000 
-dualbound = 3839126.333968, lowerbound=1316094.333968, norm of subgrad 1147.689563	dualbound = 3839126.333968, lowerbound=1316094.333968, norm of subgrad 33.688064	 stepsize= 1.000000 
-dualbound = 3839190.333828, lowerbound=1317165.333828, norm of subgrad 1148.159106	dualbound = 3839190.333828, lowerbound=1317165.333828, norm of subgrad 34.176013	 stepsize= 1.000000 
-dualbound = 3839262.176575, lowerbound=1318194.176575, norm of subgrad 1148.607059	dualbound = 3839262.176575, lowerbound=1318194.176575, norm of subgrad 34.290564	 stepsize= 1.000000 
-dualbound = 3839287.725140, lowerbound=1319668.725140, norm of subgrad 1149.285746	dualbound = 3839287.725140, lowerbound=1319668.725140, norm of subgrad 34.850374	 stepsize= 1.000000 
-dualbound = 3839337.725686, lowerbound=1315500.725686, norm of subgrad 1147.440511	dualbound = 3839337.725686, lowerbound=1315500.725686, norm of subgrad 34.190650	 stepsize= 1.000000 
-dualbound = 3839413.418460, lowerbound=1318665.418460, norm of subgrad 1148.825669	dualbound = 3839413.418460, lowerbound=1318665.418460, norm of subgrad 34.795011	 stepsize= 1.000000 
-dualbound = 3839455.536357, lowerbound=1323459.536357, norm of subgrad 1150.902488	dualbound = 3839455.536357, lowerbound=1323459.536357, norm of subgrad 34.045821	 stepsize= 1.000000 
-dualbound = 3839508.858049, lowerbound=1315700.858049, norm of subgrad 1147.512901	dualbound = 3839508.858049, lowerbound=1315700.858049, norm of subgrad 33.739023	 stepsize= 1.000000 
-dualbound = 3839559.426926, lowerbound=1318672.426926, norm of subgrad 1148.829590	dualbound = 3839559.426926, lowerbound=1318672.426926, norm of subgrad 34.461121	 stepsize= 1.000000 
-dualbound = 3839624.630780, lowerbound=1315384.630780, norm of subgrad 1147.377719	dualbound = 3839624.630780, lowerbound=1315384.630780, norm of subgrad 34.002998	 stepsize= 1.000000 
-dualbound = 3839661.347031, lowerbound=1320989.347031, norm of subgrad 1149.812744	dualbound = 3839661.347031, lowerbound=1320989.347031, norm of subgrad 33.417305	 stepsize= 1.000000 
-dualbound = 3839729.817635, lowerbound=1319040.817635, norm of subgrad 1148.995569	dualbound = 3839729.817635, lowerbound=1319040.817635, norm of subgrad 34.906598	 stepsize= 1.000000 
-dualbound = 3839758.473910, lowerbound=1318747.473910, norm of subgrad 1148.863993	dualbound = 3839758.473910, lowerbound=1318747.473910, norm of subgrad 34.200238	 stepsize= 1.000000 
-dualbound = 3839810.204841, lowerbound=1317189.204841, norm of subgrad 1148.220016	dualbound = 3839810.204841, lowerbound=1317189.204841, norm of subgrad 35.661337	 stepsize= 1.000000 
-dualbound = 3839832.510250, lowerbound=1317377.510250, norm of subgrad 1148.269354	dualbound = 3839832.510250, lowerbound=1317377.510250, norm of subgrad 34.165852	 stepsize= 1.000000 
-dualbound = 3839934.756523, lowerbound=1317071.756523, norm of subgrad 1148.143178	dualbound = 3839934.756523, lowerbound=1317071.756523, norm of subgrad 35.542176	 stepsize= 1.000000 
-dualbound = 3839978.395448, lowerbound=1314419.395448, norm of subgrad 1146.983607	dualbound = 3839978.395448, lowerbound=1314419.395448, norm of subgrad 34.578012	 stepsize= 1.000000 
-dualbound = 3840022.601825, lowerbound=1320236.601825, norm of subgrad 1149.512332	dualbound = 3840022.601825, lowerbound=1320236.601825, norm of subgrad 34.441347	 stepsize= 1.000000 
-dualbound = 3840094.948613, lowerbound=1314388.948613, norm of subgrad 1146.973822	dualbound = 3840094.948613, lowerbound=1314388.948613, norm of subgrad 35.104797	 stepsize= 1.000000 
-dualbound = 3840128.958931, lowerbound=1317809.958931, norm of subgrad 1148.445889	dualbound = 3840128.958931, lowerbound=1317809.958931, norm of subgrad 33.941277	 stepsize= 1.000000 
-dualbound = 3840197.694320, lowerbound=1312505.694320, norm of subgrad 1146.151253	dualbound = 3840197.694320, lowerbound=1312505.694320, norm of subgrad 35.010504	 stepsize= 1.000000 
-dualbound = 3840253.325309, lowerbound=1323768.325309, norm of subgrad 1151.045319	dualbound = 3840253.325309, lowerbound=1323768.325309, norm of subgrad 34.534490	 stepsize= 1.000000 
-dualbound = 3840302.134432, lowerbound=1315700.134432, norm of subgrad 1147.530886	dualbound = 3840302.134432, lowerbound=1315700.134432, norm of subgrad 34.290073	 stepsize= 1.000000 
-dualbound = 3840344.188852, lowerbound=1316045.188852, norm of subgrad 1147.679044	dualbound = 3840344.188852, lowerbound=1316045.188852, norm of subgrad 34.118242	 stepsize= 1.000000 
-dualbound = 3840411.596280, lowerbound=1312122.596280, norm of subgrad 1145.988044	dualbound = 3840411.596280, lowerbound=1312122.596280, norm of subgrad 35.119901	 stepsize= 1.000000 
-dualbound = 3840448.225272, lowerbound=1319608.225272, norm of subgrad 1149.263775	dualbound = 3840448.225272, lowerbound=1319608.225272, norm of subgrad 35.151515	 stepsize= 1.000000 
-dualbound = 3840479.437636, lowerbound=1321387.437636, norm of subgrad 1150.026277	dualbound = 3840479.437636, lowerbound=1321387.437636, norm of subgrad 34.701763	 stepsize= 1.000000 
-dualbound = 3840574.913056, lowerbound=1318468.913056, norm of subgrad 1148.739271	dualbound = 3840574.913056, lowerbound=1318468.913056, norm of subgrad 35.049614	 stepsize= 1.000000 
-dualbound = 3840619.146546, lowerbound=1318837.146546, norm of subgrad 1148.903019	dualbound = 3840619.146546, lowerbound=1318837.146546, norm of subgrad 34.427220	 stepsize= 1.000000 
-dualbound = 3840665.109598, lowerbound=1313442.109598, norm of subgrad 1146.558376	dualbound = 3840665.109598, lowerbound=1313442.109598, norm of subgrad 34.640483	 stepsize= 1.000000 
-dualbound = 3840727.705093, lowerbound=1320751.705093, norm of subgrad 1149.732014	dualbound = 3840727.705093, lowerbound=1320751.705093, norm of subgrad 34.562921	 stepsize= 1.000000 
-dualbound = 3840774.197119, lowerbound=1319302.197119, norm of subgrad 1149.079717	dualbound = 3840774.197119, lowerbound=1319302.197119, norm of subgrad 33.593035	 stepsize= 1.000000 
-dualbound = 3840869.648617, lowerbound=1321544.648617, norm of subgrad 1150.075062	dualbound = 3840869.648617, lowerbound=1321544.648617, norm of subgrad 34.977872	 stepsize= 1.000000 
-dualbound = 3840871.521647, lowerbound=1323419.521647, norm of subgrad 1150.894661	dualbound = 3840871.521647, lowerbound=1323419.521647, norm of subgrad 33.776812	 stepsize= 1.000000 
-dualbound = 3840939.486645, lowerbound=1320188.486645, norm of subgrad 1149.480094	dualbound = 3840939.486645, lowerbound=1320188.486645, norm of subgrad 34.408792	 stepsize= 1.000000 
-dualbound = 3840987.978746, lowerbound=1323594.978746, norm of subgrad 1150.962631	dualbound = 3840987.978746, lowerbound=1323594.978746, norm of subgrad 34.183214	 stepsize= 1.000000 
-dualbound = 3841031.931608, lowerbound=1319873.931608, norm of subgrad 1149.344131	dualbound = 3841031.931608, lowerbound=1319873.931608, norm of subgrad 34.087430	 stepsize= 1.000000 
-dualbound = 3841105.919449, lowerbound=1321638.919449, norm of subgrad 1150.096917	dualbound = 3841105.919449, lowerbound=1321638.919449, norm of subgrad 34.029220	 stepsize= 1.000000 
-dualbound = 3841149.280992, lowerbound=1318659.280992, norm of subgrad 1148.809506	dualbound = 3841149.280992, lowerbound=1318659.280992, norm of subgrad 33.872726	 stepsize= 1.000000 
-dualbound = 3841201.010243, lowerbound=1320681.010243, norm of subgrad 1149.701270	dualbound = 3841201.010243, lowerbound=1320681.010243, norm of subgrad 34.405367	 stepsize= 1.000000 
-dualbound = 3841245.857676, lowerbound=1316233.857676, norm of subgrad 1147.757752	dualbound = 3841245.857676, lowerbound=1316233.857676, norm of subgrad 34.041848	 stepsize= 1.000000 
-dualbound = 3841306.976260, lowerbound=1321025.976260, norm of subgrad 1149.849110	dualbound = 3841306.976260, lowerbound=1321025.976260, norm of subgrad 34.469096	 stepsize= 1.000000 
-dualbound = 3841342.118577, lowerbound=1316778.118577, norm of subgrad 1148.027490	dualbound = 3841342.118577, lowerbound=1316778.118577, norm of subgrad 34.987745	 stepsize= 1.000000 
-dualbound = 3841380.399833, lowerbound=1320483.399833, norm of subgrad 1149.614457	dualbound = 3841380.399833, lowerbound=1320483.399833, norm of subgrad 34.180130	 stepsize= 1.000000 
-dualbound = 3841469.469633, lowerbound=1315741.469633, norm of subgrad 1147.537132	dualbound = 3841469.469633, lowerbound=1315741.469633, norm of subgrad 34.482891	 stepsize= 1.000000 
-dualbound = 3841518.696871, lowerbound=1320920.696871, norm of subgrad 1149.830725	dualbound = 3841518.696871, lowerbound=1320920.696871, norm of subgrad 35.202660	 stepsize= 1.000000 
-dualbound = 3841548.745833, lowerbound=1314494.745833, norm of subgrad 1147.012531	dualbound = 3841548.745833, lowerbound=1314494.745833, norm of subgrad 34.249802	 stepsize= 1.000000 
-dualbound = 3841629.827581, lowerbound=1318469.827581, norm of subgrad 1148.756209	dualbound = 3841629.827581, lowerbound=1318469.827581, norm of subgrad 35.384767	 stepsize= 1.000000 
-dualbound = 3841658.415401, lowerbound=1321934.415401, norm of subgrad 1150.263194	dualbound = 3841658.415401, lowerbound=1321934.415401, norm of subgrad 34.635066	 stepsize= 1.000000 
-dualbound = 3841721.139600, lowerbound=1317055.139600, norm of subgrad 1148.128102	dualbound = 3841721.139600, lowerbound=1317055.139600, norm of subgrad 34.723540	 stepsize= 1.000000 
-dualbound = 3841787.326476, lowerbound=1322152.326476, norm of subgrad 1150.327052	dualbound = 3841787.326476, lowerbound=1322152.326476, norm of subgrad 34.149478	 stepsize= 1.000000 
-dualbound = 3841832.145823, lowerbound=1316779.145823, norm of subgrad 1147.993966	dualbound = 3841832.145823, lowerbound=1316779.145823, norm of subgrad 33.997343	 stepsize= 1.000000 
-dualbound = 3841893.473673, lowerbound=1318468.473673, norm of subgrad 1148.755184	dualbound = 3841893.473673, lowerbound=1318468.473673, norm of subgrad 35.090281	 stepsize= 1.000000 
-dualbound = 3841929.914396, lowerbound=1316816.914396, norm of subgrad 1148.048307	dualbound = 3841929.914396, lowerbound=1316816.914396, norm of subgrad 35.134609	 stepsize= 1.000000 
-dualbound = 3841991.826949, lowerbound=1316373.826949, norm of subgrad 1147.823082	dualbound = 3841991.826949, lowerbound=1316373.826949, norm of subgrad 34.437081	 stepsize= 1.000000 
-dualbound = 3842061.646418, lowerbound=1316326.646418, norm of subgrad 1147.791203	dualbound = 3842061.646418, lowerbound=1316326.646418, norm of subgrad 34.173374	 stepsize= 1.000000 
-dualbound = 3842103.161975, lowerbound=1315962.161975, norm of subgrad 1147.635030	dualbound = 3842103.161975, lowerbound=1315962.161975, norm of subgrad 33.845466	 stepsize= 1.000000 
-dualbound = 3842157.629788, lowerbound=1315725.629788, norm of subgrad 1147.543738	dualbound = 3842157.629788, lowerbound=1315725.629788, norm of subgrad 34.430623	 stepsize= 1.000000 
-dualbound = 3842200.486439, lowerbound=1319959.486439, norm of subgrad 1149.370474	dualbound = 3842200.486439, lowerbound=1319959.486439, norm of subgrad 33.702472	 stepsize= 1.000000 
-dualbound = 3842284.704159, lowerbound=1315109.704159, norm of subgrad 1147.245268	dualbound = 3842284.704159, lowerbound=1315109.704159, norm of subgrad 33.855837	 stepsize= 1.000000 
-dualbound = 3842314.093054, lowerbound=1321794.093054, norm of subgrad 1150.173071	dualbound = 3842314.093054, lowerbound=1321794.093054, norm of subgrad 33.665842	 stepsize= 1.000000 
-dualbound = 3842368.439616, lowerbound=1316436.439616, norm of subgrad 1147.851227	dualbound = 3842368.439616, lowerbound=1316436.439616, norm of subgrad 34.356172	 stepsize= 1.000000 
-dualbound = 3842405.921799, lowerbound=1321617.921799, norm of subgrad 1150.110830	dualbound = 3842405.921799, lowerbound=1321617.921799, norm of subgrad 34.270719	 stepsize= 1.000000 
-dualbound = 3842472.148476, lowerbound=1318489.148476, norm of subgrad 1148.746338	dualbound = 3842472.148476, lowerbound=1318489.148476, norm of subgrad 34.572051	 stepsize= 1.000000 
-dualbound = 3842529.406684, lowerbound=1319313.406684, norm of subgrad 1149.095908	dualbound = 3842529.406684, lowerbound=1319313.406684, norm of subgrad 34.135879	 stepsize= 1.000000 
-dualbound = 3842584.634937, lowerbound=1320928.634937, norm of subgrad 1149.799389	dualbound = 3842584.634937, lowerbound=1320928.634937, norm of subgrad 34.135440	 stepsize= 1.000000 
-dualbound = 3842615.539844, lowerbound=1320558.539844, norm of subgrad 1149.662359	dualbound = 3842615.539844, lowerbound=1320558.539844, norm of subgrad 34.581858	 stepsize= 1.000000 
-dualbound = 3842661.616928, lowerbound=1316406.616928, norm of subgrad 1147.873955	dualbound = 3842661.616928, lowerbound=1316406.616928, norm of subgrad 35.412951	 stepsize= 1.000000 
-dualbound = 3842712.263063, lowerbound=1323749.263063, norm of subgrad 1151.013146	dualbound = 3842712.263063, lowerbound=1323749.263063, norm of subgrad 33.654808	 stepsize= 1.000000 
-dualbound = 3842814.374902, lowerbound=1314460.374902, norm of subgrad 1146.986214	dualbound = 3842814.374902, lowerbound=1314460.374902, norm of subgrad 34.915782	 stepsize= 1.000000 
-dualbound = 3842821.979801, lowerbound=1324703.979801, norm of subgrad 1151.443867	dualbound = 3842821.979801, lowerbound=1324703.979801, norm of subgrad 33.564936	 stepsize= 1.000000 
-dualbound = 3842918.485312, lowerbound=1317933.485312, norm of subgrad 1148.507939	dualbound = 3842918.485312, lowerbound=1317933.485312, norm of subgrad 35.121297	 stepsize= 1.000000 
-dualbound = 3842895.623657, lowerbound=1320136.623657, norm of subgrad 1149.469714	dualbound = 3842895.623657, lowerbound=1320136.623657, norm of subgrad 33.483404	 stepsize= 1.000000 
-dualbound = 3843000.138769, lowerbound=1318666.138769, norm of subgrad 1148.803351	dualbound = 3843000.138769, lowerbound=1318666.138769, norm of subgrad 34.460341	 stepsize= 1.000000 
-dualbound = 3843062.963758, lowerbound=1317550.963758, norm of subgrad 1148.323980	dualbound = 3843062.963758, lowerbound=1317550.963758, norm of subgrad 34.056203	 stepsize= 1.000000 
-dualbound = 3843071.337647, lowerbound=1316143.337647, norm of subgrad 1147.752734	dualbound = 3843071.337647, lowerbound=1316143.337647, norm of subgrad 34.660841	 stepsize= 1.000000 
-dualbound = 3843126.817409, lowerbound=1317181.817409, norm of subgrad 1148.173688	dualbound = 3843126.817409, lowerbound=1317181.817409, norm of subgrad 34.299851	 stepsize= 1.000000 
-dualbound = 3843217.473212, lowerbound=1318822.473212, norm of subgrad 1148.876614	dualbound = 3843217.473212, lowerbound=1318822.473212, norm of subgrad 34.433353	 stepsize= 1.000000 
-dualbound = 3843234.368248, lowerbound=1321311.368248, norm of subgrad 1149.951029	dualbound = 3843234.368248, lowerbound=1321311.368248, norm of subgrad 33.058963	 stepsize= 1.000000 
-dualbound = 3843349.360317, lowerbound=1316160.360317, norm of subgrad 1147.686961	dualbound = 3843349.360317, lowerbound=1316160.360317, norm of subgrad 33.763769	 stepsize= 1.000000 
-dualbound = 3843370.892921, lowerbound=1319161.892921, norm of subgrad 1149.033895	dualbound = 3843370.892921, lowerbound=1319161.892921, norm of subgrad 33.742149	 stepsize= 1.000000 
-dualbound = 3843417.402300, lowerbound=1319245.402300, norm of subgrad 1149.064142	dualbound = 3843417.402300, lowerbound=1319245.402300, norm of subgrad 33.904415	 stepsize= 1.000000 
-dualbound = 3843464.243712, lowerbound=1316782.243712, norm of subgrad 1147.995315	dualbound = 3843464.243712, lowerbound=1316782.243712, norm of subgrad 34.027069	 stepsize= 1.000000 
-dualbound = 3843517.785235, lowerbound=1317607.785235, norm of subgrad 1148.359171	dualbound = 3843517.785235, lowerbound=1317607.785235, norm of subgrad 34.271585	 stepsize= 1.000000 
-dualbound = 3843566.977223, lowerbound=1322153.977223, norm of subgrad 1150.337767	dualbound = 3843566.977223, lowerbound=1322153.977223, norm of subgrad 34.237289	 stepsize= 1.000000 
-dualbound = 3843624.946339, lowerbound=1315813.946339, norm of subgrad 1147.579603	dualbound = 3843624.946339, lowerbound=1315813.946339, norm of subgrad 34.394318	 stepsize= 1.000000 
-dualbound = 3843668.222032, lowerbound=1319967.222032, norm of subgrad 1149.373839	dualbound = 3843668.222032, lowerbound=1319967.222032, norm of subgrad 33.708689	 stepsize= 1.000000 
-dualbound = 3843742.502381, lowerbound=1321648.502381, norm of subgrad 1150.133689	dualbound = 3843742.502381, lowerbound=1321648.502381, norm of subgrad 35.118091	 stepsize= 1.000000 
-dualbound = 3843759.740654, lowerbound=1318846.740654, norm of subgrad 1148.903277	dualbound = 3843759.740654, lowerbound=1318846.740654, norm of subgrad 33.900417	 stepsize= 1.000000 
-dualbound = 3843843.487487, lowerbound=1319361.487487, norm of subgrad 1149.125967	dualbound = 3843843.487487, lowerbound=1319361.487487, norm of subgrad 34.824515	 stepsize= 1.000000 
-dualbound = 3843884.239563, lowerbound=1322869.239563, norm of subgrad 1150.671647	dualbound = 3843884.239563, lowerbound=1322869.239563, norm of subgrad 34.881974	 stepsize= 1.000000 
-dualbound = 3843921.419216, lowerbound=1320034.419216, norm of subgrad 1149.427431	dualbound = 3843921.419216, lowerbound=1320034.419216, norm of subgrad 34.440959	 stepsize= 1.000000 
-dualbound = 3843991.040255, lowerbound=1315956.040255, norm of subgrad 1147.670266	dualbound = 3843991.040255, lowerbound=1315956.040255, norm of subgrad 35.505226	 stepsize= 1.000000 
-dualbound = 3844050.594083, lowerbound=1315064.594083, norm of subgrad 1147.267882	dualbound = 3844050.594083, lowerbound=1315064.594083, norm of subgrad 34.907790	 stepsize= 1.000000 
-dualbound = 3844082.817330, lowerbound=1315050.817330, norm of subgrad 1147.276260	dualbound = 3844082.817330, lowerbound=1315050.817330, norm of subgrad 34.988902	 stepsize= 1.000000 
-dualbound = 3844132.620859, lowerbound=1320687.620859, norm of subgrad 1149.702405	dualbound = 3844132.620859, lowerbound=1320687.620859, norm of subgrad 34.319142	 stepsize= 1.000000 
-dualbound = 3844213.760561, lowerbound=1318308.760561, norm of subgrad 1148.647361	dualbound = 3844213.760561, lowerbound=1318308.760561, norm of subgrad 34.104834	 stepsize= 1.000000 
-dualbound = 3844272.470244, lowerbound=1315400.470244, norm of subgrad 1147.384186	dualbound = 3844272.470244, lowerbound=1315400.470244, norm of subgrad 33.892620	 stepsize= 1.000000 
-dualbound = 3844316.938907, lowerbound=1317042.938907, norm of subgrad 1148.101014	dualbound = 3844316.938907, lowerbound=1317042.938907, norm of subgrad 33.726379	 stepsize= 1.000000 
-dualbound = 3844375.272312, lowerbound=1318760.272312, norm of subgrad 1148.872609	dualbound = 3844375.272312, lowerbound=1318760.272312, norm of subgrad 34.732311	 stepsize= 1.000000 
-dualbound = 3844394.371716, lowerbound=1316292.371716, norm of subgrad 1147.776273	dualbound = 3844394.371716, lowerbound=1316292.371716, norm of subgrad 33.423037	 stepsize= 1.000000 
-dualbound = 3844504.272211, lowerbound=1314299.272211, norm of subgrad 1146.894185	dualbound = 3844504.272211, lowerbound=1314299.272211, norm of subgrad 34.305983	 stepsize= 1.000000 
-dualbound = 3844508.073139, lowerbound=1322980.073139, norm of subgrad 1150.698950	dualbound = 3844508.073139, lowerbound=1322980.073139, norm of subgrad 33.642249	 stepsize= 1.000000 
-dualbound = 3844591.729592, lowerbound=1315463.729592, norm of subgrad 1147.418725	dualbound = 3844591.729592, lowerbound=1315463.729592, norm of subgrad 34.491397	 stepsize= 1.000000 
-dualbound = 3844622.043969, lowerbound=1325639.043969, norm of subgrad 1151.852440	dualbound = 3844622.043969, lowerbound=1325639.043969, norm of subgrad 33.989916	 stepsize= 1.000000 
-dualbound = 3844703.173859, lowerbound=1314104.173859, norm of subgrad 1146.822207	dualbound = 3844703.173859, lowerbound=1314104.173859, norm of subgrad 34.323897	 stepsize= 1.000000 
-dualbound = 3844747.603555, lowerbound=1320546.603555, norm of subgrad 1149.632812	dualbound = 3844747.603555, lowerbound=1320546.603555, norm of subgrad 33.962180	 stepsize= 1.000000 
-dualbound = 3844804.838485, lowerbound=1322014.838485, norm of subgrad 1150.269029	dualbound = 3844804.838485, lowerbound=1322014.838485, norm of subgrad 34.076897	 stepsize= 1.000000 
-dualbound = 3844848.554872, lowerbound=1317976.554872, norm of subgrad 1148.530607	dualbound = 3844848.554872, lowerbound=1317976.554872, norm of subgrad 34.492266	 stepsize= 1.000000 
-dualbound = 3844922.153702, lowerbound=1321819.153702, norm of subgrad 1150.170924	dualbound = 3844922.153702, lowerbound=1321819.153702, norm of subgrad 33.876228	 stepsize= 1.000000 
-dualbound = 3844976.235264, lowerbound=1317704.235264, norm of subgrad 1148.371993	dualbound = 3844976.235264, lowerbound=1317704.235264, norm of subgrad 33.287859	 stepsize= 1.000000 
-dualbound = 3845030.243775, lowerbound=1317243.243775, norm of subgrad 1148.159503	dualbound = 3845030.243775, lowerbound=1317243.243775, norm of subgrad 32.878694	 stepsize= 1.000000 
-dualbound = 3845085.764054, lowerbound=1317648.764054, norm of subgrad 1148.368740	dualbound = 3845085.764054, lowerbound=1317648.764054, norm of subgrad 34.022350	 stepsize= 1.000000 
-dualbound = 3845127.932284, lowerbound=1316992.932284, norm of subgrad 1148.069219	dualbound = 3845127.932284, lowerbound=1316992.932284, norm of subgrad 33.349186	 stepsize= 1.000000 
-dualbound = 3845182.281765, lowerbound=1317846.281765, norm of subgrad 1148.453866	dualbound = 3845182.281765, lowerbound=1317846.281765, norm of subgrad 33.975719	 stepsize= 1.000000 
-dualbound = 3845208.584076, lowerbound=1314041.584076, norm of subgrad 1146.809306	dualbound = 3845208.584076, lowerbound=1314041.584076, norm of subgrad 34.004445	 stepsize= 1.000000 
-dualbound = 3845276.046836, lowerbound=1320016.046836, norm of subgrad 1149.424659	dualbound = 3845276.046836, lowerbound=1320016.046836, norm of subgrad 35.049433	 stepsize= 1.000000 
-dualbound = 3845335.809218, lowerbound=1316461.809218, norm of subgrad 1147.849210	dualbound = 3845335.809218, lowerbound=1316461.809218, norm of subgrad 33.996505	 stepsize= 1.000000 
-dualbound = 3845395.463101, lowerbound=1322757.463101, norm of subgrad 1150.603087	dualbound = 3845395.463101, lowerbound=1322757.463101, norm of subgrad 34.491360	 stepsize= 1.000000 
-dualbound = 3845438.961495, lowerbound=1313933.961495, norm of subgrad 1146.787235	dualbound = 3845438.961495, lowerbound=1313933.961495, norm of subgrad 35.078461	 stepsize= 1.000000 
-dualbound = 3845479.914568, lowerbound=1320047.914568, norm of subgrad 1149.424167	dualbound = 3845479.914568, lowerbound=1320047.914568, norm of subgrad 34.189956	 stepsize= 1.000000 
-dualbound = 3845534.783799, lowerbound=1319723.783799, norm of subgrad 1149.309264	dualbound = 3845534.783799, lowerbound=1319723.783799, norm of subgrad 35.254351	 stepsize= 1.000000 
-dualbound = 3845574.885353, lowerbound=1322058.885353, norm of subgrad 1150.317298	dualbound = 3845574.885353, lowerbound=1322058.885353, norm of subgrad 34.800884	 stepsize= 1.000000 
-dualbound = 3845655.005359, lowerbound=1322463.005359, norm of subgrad 1150.467733	dualbound = 3845655.005359, lowerbound=1322463.005359, norm of subgrad 34.541569	 stepsize= 1.000000 
-dualbound = 3845678.070613, lowerbound=1321388.070613, norm of subgrad 1150.020465	dualbound = 3845678.070613, lowerbound=1321388.070613, norm of subgrad 34.381176	 stepsize= 1.000000 
-dualbound = 3845739.131237, lowerbound=1318703.131237, norm of subgrad 1148.842083	dualbound = 3845739.131237, lowerbound=1318703.131237, norm of subgrad 34.584109	 stepsize= 1.000000 
-dualbound = 3845790.392722, lowerbound=1317411.392722, norm of subgrad 1148.294123	dualbound = 3845790.392722, lowerbound=1317411.392722, norm of subgrad 34.917925	 stepsize= 1.000000 
-dualbound = 3845828.313619, lowerbound=1324762.313619, norm of subgrad 1151.507843	dualbound = 3845828.313619, lowerbound=1324762.313619, norm of subgrad 35.297605	 stepsize= 1.000000 
-dualbound = 3845895.246390, lowerbound=1315473.246390, norm of subgrad 1147.434637	dualbound = 3845895.246390, lowerbound=1315473.246390, norm of subgrad 34.640046	 stepsize= 1.000000 
-dualbound = 3845944.213349, lowerbound=1320651.213349, norm of subgrad 1149.709621	dualbound = 3845944.213349, lowerbound=1320651.213349, norm of subgrad 35.070885	 stepsize= 1.000000 
-dualbound = 3845990.748663, lowerbound=1314506.748663, norm of subgrad 1147.020378	dualbound = 3845990.748663, lowerbound=1314506.748663, norm of subgrad 34.576514	 stepsize= 1.000000 
-dualbound = 3846035.459488, lowerbound=1320585.459488, norm of subgrad 1149.677981	dualbound = 3846035.459488, lowerbound=1320585.459488, norm of subgrad 34.910039	 stepsize= 1.000000 
-dualbound = 3846090.574241, lowerbound=1319564.574241, norm of subgrad 1149.218245	dualbound = 3846090.574241, lowerbound=1319564.574241, norm of subgrad 34.541493	 stepsize= 1.000000 
-dualbound = 3846154.078236, lowerbound=1318231.078236, norm of subgrad 1148.685805	dualbound = 3846154.078236, lowerbound=1318231.078236, norm of subgrad 36.214693	 stepsize= 1.000000 
-dualbound = 3846177.543367, lowerbound=1318868.543367, norm of subgrad 1148.928433	dualbound = 3846177.543367, lowerbound=1318868.543367, norm of subgrad 34.517606	 stepsize= 1.000000 
-dualbound = 3846267.094943, lowerbound=1315874.094943, norm of subgrad 1147.607117	dualbound = 3846267.094943, lowerbound=1315874.094943, norm of subgrad 34.893432	 stepsize= 1.000000 
-dualbound = 3846309.710482, lowerbound=1317016.710482, norm of subgrad 1148.126174	dualbound = 3846309.710482, lowerbound=1317016.710482, norm of subgrad 34.922994	 stepsize= 1.000000 
-dualbound = 3846362.479659, lowerbound=1320992.479659, norm of subgrad 1149.837588	dualbound = 3846362.479659, lowerbound=1320992.479659, norm of subgrad 34.449516	 stepsize= 1.000000 
-dualbound = 3846439.564687, lowerbound=1316962.564687, norm of subgrad 1148.067317	dualbound = 3846439.564687, lowerbound=1316962.564687, norm of subgrad 34.250329	 stepsize= 1.000000 
-dualbound = 3846473.567306, lowerbound=1317666.567306, norm of subgrad 1148.400874	dualbound = 3846473.567306, lowerbound=1317666.567306, norm of subgrad 34.525391	 stepsize= 1.000000 
-dualbound = 3846539.635908, lowerbound=1319462.635908, norm of subgrad 1149.165626	dualbound = 3846539.635908, lowerbound=1319462.635908, norm of subgrad 34.424825	 stepsize= 1.000000 
-dualbound = 3846602.017294, lowerbound=1321996.017294, norm of subgrad 1150.268237	dualbound = 3846602.017294, lowerbound=1321996.017294, norm of subgrad 34.400311	 stepsize= 1.000000 
-dualbound = 3846640.987862, lowerbound=1315996.987862, norm of subgrad 1147.681571	dualbound = 3846640.987862, lowerbound=1315996.987862, norm of subgrad 34.856428	 stepsize= 1.000000 
-dualbound = 3846678.047407, lowerbound=1316956.047407, norm of subgrad 1148.074060	dualbound = 3846678.047407, lowerbound=1316956.047407, norm of subgrad 33.986167	 stepsize= 1.000000 
-dualbound = 3846765.966590, lowerbound=1320173.966590, norm of subgrad 1149.471168	dualbound = 3846765.966590, lowerbound=1320173.966590, norm of subgrad 34.610969	 stepsize= 1.000000 
-dualbound = 3846795.549895, lowerbound=1314334.549895, norm of subgrad 1146.909129	dualbound = 3846795.549895, lowerbound=1314334.549895, norm of subgrad 33.099597	 stepsize= 1.000000 
-dualbound = 3846884.874383, lowerbound=1320003.874384, norm of subgrad 1149.372383	dualbound = 3846884.874383, lowerbound=1320003.874384, norm of subgrad 33.798291	 stepsize= 1.000000 
-dualbound = 3846918.259537, lowerbound=1316481.259537, norm of subgrad 1147.836774	dualbound = 3846918.259537, lowerbound=1316481.259537, norm of subgrad 32.884421	 stepsize= 1.000000 
-dualbound = 3846969.906292, lowerbound=1318020.906292, norm of subgrad 1148.505945	dualbound = 3846969.906292, lowerbound=1318020.906292, norm of subgrad 33.115657	 stepsize= 1.000000 
-dualbound = 3847012.728910, lowerbound=1315759.728910, norm of subgrad 1147.574280	dualbound = 3847012.728910, lowerbound=1315759.728910, norm of subgrad 34.782504	 stepsize= 1.000000 
-dualbound = 3847057.647815, lowerbound=1324218.647815, norm of subgrad 1151.239614	dualbound = 3847057.647815, lowerbound=1324218.647815, norm of subgrad 34.335389	 stepsize= 1.000000 
-dualbound = 3847083.383466, lowerbound=1320909.383466, norm of subgrad 1149.794496	dualbound = 3847083.383466, lowerbound=1320909.383466, norm of subgrad 33.819161	 stepsize= 1.000000 
-dualbound = 3847161.527624, lowerbound=1324215.527624, norm of subgrad 1151.238258	dualbound = 3847161.527624, lowerbound=1324215.527624, norm of subgrad 34.815861	 stepsize= 1.000000 
-dualbound = 3847212.248058, lowerbound=1317996.248058, norm of subgrad 1148.534391	dualbound = 3847212.248058, lowerbound=1317996.248058, norm of subgrad 34.434292	 stepsize= 1.000000 
-dualbound = 3847276.237043, lowerbound=1318542.237043, norm of subgrad 1148.783373	dualbound = 3847276.237043, lowerbound=1318542.237043, norm of subgrad 34.999843	 stepsize= 1.000000 
-dualbound = 3847315.143267, lowerbound=1320917.143267, norm of subgrad 1149.830919	dualbound = 3847315.143267, lowerbound=1320917.143267, norm of subgrad 35.112764	 stepsize= 1.000000 
-dualbound = 3847342.239975, lowerbound=1316619.239975, norm of subgrad 1147.940870	dualbound = 3847342.239975, lowerbound=1316619.239975, norm of subgrad 34.294266	 stepsize= 1.000000 
-dualbound = 3847417.246762, lowerbound=1318011.246762, norm of subgrad 1148.539615	dualbound = 3847417.246762, lowerbound=1318011.246762, norm of subgrad 34.742003	 stepsize= 1.000000 
-dualbound = 3847482.932673, lowerbound=1322168.932673, norm of subgrad 1150.354699	dualbound = 3847482.932673, lowerbound=1322168.932673, norm of subgrad 34.823640	 stepsize= 1.000000 
-dualbound = 3847512.993334, lowerbound=1316182.993334, norm of subgrad 1147.756069	dualbound = 3847512.993334, lowerbound=1316182.993334, norm of subgrad 34.511747	 stepsize= 1.000000 
-dualbound = 3847590.223354, lowerbound=1318817.223354, norm of subgrad 1148.890431	dualbound = 3847590.223354, lowerbound=1318817.223354, norm of subgrad 34.773985	 stepsize= 1.000000 
-dualbound = 3847633.261585, lowerbound=1315203.261585, norm of subgrad 1147.321342	dualbound = 3847633.261585, lowerbound=1315203.261585, norm of subgrad 34.438906	 stepsize= 1.000000 
-dualbound = 3847700.456155, lowerbound=1323861.456155, norm of subgrad 1151.050588	dualbound = 3847700.456155, lowerbound=1323861.456155, norm of subgrad 33.514095	 stepsize= 1.000000 
-dualbound = 3847781.582079, lowerbound=1314700.582079, norm of subgrad 1147.055178	dualbound = 3847781.582079, lowerbound=1314700.582079, norm of subgrad 33.408471	 stepsize= 1.000000 
-dualbound = 3847800.127969, lowerbound=1325263.127969, norm of subgrad 1151.672752	dualbound = 3847800.127969, lowerbound=1325263.127969, norm of subgrad 33.249750	 stepsize= 1.000000 
-dualbound = 3847872.464862, lowerbound=1313552.464862, norm of subgrad 1146.577283	dualbound = 3847872.464862, lowerbound=1313552.464862, norm of subgrad 34.049037	 stepsize= 1.000000 
-dualbound = 3847897.990537, lowerbound=1320840.990537, norm of subgrad 1149.753448	dualbound = 3847897.990537, lowerbound=1320840.990537, norm of subgrad 33.429413	 stepsize= 1.000000 
-dualbound = 3847960.843324, lowerbound=1319853.843324, norm of subgrad 1149.339742	dualbound = 3847960.843324, lowerbound=1319853.843324, norm of subgrad 34.508735	 stepsize= 1.000000 
-dualbound = 3848026.518546, lowerbound=1322849.518546, norm of subgrad 1150.622666	dualbound = 3848026.518546, lowerbound=1322849.518546, norm of subgrad 33.892111	 stepsize= 1.000000 
-dualbound = 3848059.421671, lowerbound=1316088.421671, norm of subgrad 1147.694830	dualbound = 3848059.421671, lowerbound=1316088.421671, norm of subgrad 33.880719	 stepsize= 1.000000 
-dualbound = 3848146.087784, lowerbound=1321546.087784, norm of subgrad 1150.063515	dualbound = 3848146.087784, lowerbound=1321546.087784, norm of subgrad 34.448020	 stepsize= 1.000000 
-dualbound = 3848161.855459, lowerbound=1317740.855459, norm of subgrad 1148.423639	dualbound = 3848161.855459, lowerbound=1317740.855459, norm of subgrad 33.937703	 stepsize= 1.000000 
-dualbound = 3848219.457458, lowerbound=1317053.457458, norm of subgrad 1148.128676	dualbound = 3848219.457458, lowerbound=1317053.457458, norm of subgrad 34.692968	 stepsize= 1.000000 
-dualbound = 3848270.454968, lowerbound=1321512.454968, norm of subgrad 1150.054110	dualbound = 3848270.454968, lowerbound=1321512.454968, norm of subgrad 34.102749	 stepsize= 1.000000 
-dualbound = 3848338.236514, lowerbound=1321481.236514, norm of subgrad 1150.043580	dualbound = 3848338.236514, lowerbound=1321481.236514, norm of subgrad 34.449696	 stepsize= 1.000000 
-dualbound = 3848385.840412, lowerbound=1318725.840412, norm of subgrad 1148.848485	dualbound = 3848385.840412, lowerbound=1318725.840412, norm of subgrad 34.272495	 stepsize= 1.000000 
-dualbound = 3848429.163220, lowerbound=1320361.163220, norm of subgrad 1149.573905	dualbound = 3848429.163220, lowerbound=1320361.163220, norm of subgrad 34.674527	 stepsize= 1.000000 
-dualbound = 3848477.447119, lowerbound=1318956.447119, norm of subgrad 1148.949280	dualbound = 3848477.447119, lowerbound=1318956.447119, norm of subgrad 34.296995	 stepsize= 1.000000 
-dualbound = 3848545.513825, lowerbound=1318887.513825, norm of subgrad 1148.927985	dualbound = 3848545.513825, lowerbound=1318887.513825, norm of subgrad 34.872148	 stepsize= 1.000000 
-dualbound = 3848585.347985, lowerbound=1318710.347985, norm of subgrad 1148.839131	dualbound = 3848585.347985, lowerbound=1318710.347985, norm of subgrad 34.071016	 stepsize= 1.000000 
-dualbound = 3848653.697189, lowerbound=1319494.697189, norm of subgrad 1149.203506	dualbound = 3848653.697189, lowerbound=1319494.697189, norm of subgrad 35.246974	 stepsize= 1.000000 
-dualbound = 3848686.118417, lowerbound=1317747.118417, norm of subgrad 1148.448135	dualbound = 3848686.118417, lowerbound=1317747.118417, norm of subgrad 34.905891	 stepsize= 1.000000 
-dualbound = 3848738.610168, lowerbound=1323006.610168, norm of subgrad 1150.716129	dualbound = 3848738.610168, lowerbound=1323006.610168, norm of subgrad 34.546950	 stepsize= 1.000000 
-dualbound = 3848810.127300, lowerbound=1318120.127300, norm of subgrad 1148.598332	dualbound = 3848810.127300, lowerbound=1318120.127300, norm of subgrad 35.064471	 stepsize= 1.000000 
-dualbound = 3848856.948621, lowerbound=1319528.948621, norm of subgrad 1149.211011	dualbound = 3848856.948621, lowerbound=1319528.948621, norm of subgrad 34.696128	 stepsize= 1.000000 
-dualbound = 3848902.068436, lowerbound=1318928.068436, norm of subgrad 1148.927356	dualbound = 3848902.068436, lowerbound=1318928.068436, norm of subgrad 33.928157	 stepsize= 1.000000 
-dualbound = 3848986.576776, lowerbound=1316096.576776, norm of subgrad 1147.675292	dualbound = 3848986.576776, lowerbound=1316096.576776, norm of subgrad 33.860129	 stepsize= 1.000000 
-dualbound = 3849032.395679, lowerbound=1321098.395679, norm of subgrad 1149.884079	dualbound = 3849032.395679, lowerbound=1321098.395679, norm of subgrad 34.363046	 stepsize= 1.000000 
-dualbound = 3849073.710369, lowerbound=1320683.710369, norm of subgrad 1149.678525	dualbound = 3849073.710369, lowerbound=1320683.710369, norm of subgrad 33.441212	 stepsize= 1.000000 
-dualbound = 3849137.764263, lowerbound=1314915.764263, norm of subgrad 1147.144178	dualbound = 3849137.764263, lowerbound=1314915.764263, norm of subgrad 32.985662	 stepsize= 1.000000 
-dualbound = 3849205.507283, lowerbound=1314296.507283, norm of subgrad 1146.883825	dualbound = 3849205.507283, lowerbound=1314296.507283, norm of subgrad 33.372789	 stepsize= 1.000000 
-dualbound = 3849238.785118, lowerbound=1320545.785118, norm of subgrad 1149.640285	dualbound = 3849238.785118, lowerbound=1320545.785118, norm of subgrad 34.062851	 stepsize= 1.000000 
-dualbound = 3849282.277591, lowerbound=1319704.277591, norm of subgrad 1149.251616	dualbound = 3849282.277591, lowerbound=1319704.277591, norm of subgrad 33.443870	 stepsize= 1.000000 
-dualbound = 3849337.476627, lowerbound=1319206.476627, norm of subgrad 1149.045898	dualbound = 3849337.476627, lowerbound=1319206.476627, norm of subgrad 33.988219	 stepsize= 1.000000 
-dualbound = 3849383.405184, lowerbound=1317368.405184, norm of subgrad 1148.284549	dualbound = 3849383.405184, lowerbound=1317368.405184, norm of subgrad 35.141550	 stepsize= 1.000000 
-dualbound = 3849416.394323, lowerbound=1319506.394323, norm of subgrad 1149.196848	dualbound = 3849416.394323, lowerbound=1319506.394323, norm of subgrad 34.350970	 stepsize= 1.000000 
-dualbound = 3849490.024204, lowerbound=1327630.024204, norm of subgrad 1152.700318	dualbound = 3849490.024204, lowerbound=1327630.024204, norm of subgrad 34.082692	 stepsize= 1.000000 
-dualbound = 3849537.055855, lowerbound=1315606.055855, norm of subgrad 1147.508630	dualbound = 3849537.055855, lowerbound=1315606.055855, norm of subgrad 34.885981	 stepsize= 1.000000 
-dualbound = 3849585.383294, lowerbound=1316119.383294, norm of subgrad 1147.712675	dualbound = 3849585.383294, lowerbound=1316119.383294, norm of subgrad 34.253868	 stepsize= 1.000000 
-dualbound = 3849659.687468, lowerbound=1321070.687468, norm of subgrad 1149.887685	dualbound = 3849659.687468, lowerbound=1321070.687468, norm of subgrad 35.288868	 stepsize= 1.000000 
-dualbound = 3849695.481935, lowerbound=1318755.481935, norm of subgrad 1148.840930	dualbound = 3849695.481935, lowerbound=1318755.481935, norm of subgrad 33.403510	 stepsize= 1.000000 
-dualbound = 3849773.963789, lowerbound=1317783.963789, norm of subgrad 1148.421074	dualbound = 3849773.963789, lowerbound=1317783.963789, norm of subgrad 34.139154	 stepsize= 1.000000 
-dualbound = 3849804.954810, lowerbound=1320328.954810, norm of subgrad 1149.552502	dualbound = 3849804.954810, lowerbound=1320328.954810, norm of subgrad 34.248956	 stepsize= 1.000000 
-dualbound = 3849869.275811, lowerbound=1322014.275811, norm of subgrad 1150.269654	dualbound = 3849869.275811, lowerbound=1322014.275811, norm of subgrad 34.209955	 stepsize= 1.000000 
-dualbound = 3849933.027720, lowerbound=1315504.027720, norm of subgrad 1147.425391	dualbound = 3849933.027720, lowerbound=1315504.027720, norm of subgrad 33.834183	 stepsize= 1.000000 
-dualbound = 3849974.886109, lowerbound=1319331.886109, norm of subgrad 1149.110041	dualbound = 3849974.886109, lowerbound=1319331.886109, norm of subgrad 34.115369	 stepsize= 1.000000 
-dualbound = 3850006.753387, lowerbound=1318048.753387, norm of subgrad 1148.568567	dualbound = 3850006.753387, lowerbound=1318048.753387, norm of subgrad 34.537911	 stepsize= 1.000000 
-dualbound = 3850056.248888, lowerbound=1319361.248888, norm of subgrad 1149.135000	dualbound = 3850056.248888, lowerbound=1319361.248888, norm of subgrad 34.633734	 stepsize= 1.000000 
-dualbound = 3850098.781729, lowerbound=1313800.781729, norm of subgrad 1146.695592	dualbound = 3850098.781729, lowerbound=1313800.781729, norm of subgrad 33.948974	 stepsize= 1.000000 
-dualbound = 3850169.120462, lowerbound=1322922.120462, norm of subgrad 1150.681590	dualbound = 3850169.120462, lowerbound=1322922.120462, norm of subgrad 34.876048	 stepsize= 1.000000 
-dualbound = 3850217.883721, lowerbound=1319355.883721, norm of subgrad 1149.147024	dualbound = 3850217.883721, lowerbound=1319355.883721, norm of subgrad 35.096485	 stepsize= 1.000000 
-dualbound = 3850273.305611, lowerbound=1318733.305611, norm of subgrad 1148.825185	dualbound = 3850273.305611, lowerbound=1318733.305611, norm of subgrad 33.487638	 stepsize= 1.000000 
-dualbound = 3850333.320473, lowerbound=1316656.320473, norm of subgrad 1147.955714	dualbound = 3850333.320473, lowerbound=1316656.320473, norm of subgrad 34.727725	 stepsize= 1.000000 
-dualbound = 3850378.288246, lowerbound=1314062.288246, norm of subgrad 1146.809613	dualbound = 3850378.288246, lowerbound=1314062.288246, norm of subgrad 33.984817	 stepsize= 1.000000 
-dualbound = 3850428.057141, lowerbound=1323060.057141, norm of subgrad 1150.733704	dualbound = 3850428.057141, lowerbound=1323060.057141, norm of subgrad 34.318638	 stepsize= 1.000000 
-dualbound = 3850484.294821, lowerbound=1322127.294821, norm of subgrad 1150.306174	dualbound = 3850484.294821, lowerbound=1322127.294821, norm of subgrad 33.663596	 stepsize= 1.000000 
-dualbound = 3850545.185056, lowerbound=1312032.185056, norm of subgrad 1145.905400	dualbound = 3850545.185056, lowerbound=1312032.185056, norm of subgrad 33.584077	 stepsize= 1.000000 
-dualbound = 3850610.745171, lowerbound=1321663.745171, norm of subgrad 1150.120318	dualbound = 3850610.745171, lowerbound=1321663.745171, norm of subgrad 34.330163	 stepsize= 1.000000 
-dualbound = 3850649.447764, lowerbound=1311017.447764, norm of subgrad 1145.464730	dualbound = 3850649.447764, lowerbound=1311017.447764, norm of subgrad 33.327205	 stepsize= 1.000000 
-dualbound = 3850705.662924, lowerbound=1322166.662924, norm of subgrad 1150.346758	dualbound = 3850705.662924, lowerbound=1322166.662924, norm of subgrad 34.455989	 stepsize= 1.000000 
-dualbound = 3850742.744508, lowerbound=1316967.744508, norm of subgrad 1148.083074	dualbound = 3850742.744508, lowerbound=1316967.744508, norm of subgrad 34.118640	 stepsize= 1.000000 
-dualbound = 3850808.323941, lowerbound=1328715.323941, norm of subgrad 1153.170119	dualbound = 3850808.323941, lowerbound=1328715.323941, norm of subgrad 33.934929	 stepsize= 1.000000 
-dualbound = 3850869.774778, lowerbound=1318463.774778, norm of subgrad 1148.722671	dualbound = 3850869.774778, lowerbound=1318463.774778, norm of subgrad 34.080065	 stepsize= 1.000000 
-dualbound = 3850888.883174, lowerbound=1321125.883174, norm of subgrad 1149.907337	dualbound = 3850888.883174, lowerbound=1321125.883174, norm of subgrad 34.352706	 stepsize= 1.000000 
-dualbound = 3850920.681415, lowerbound=1316891.681415, norm of subgrad 1148.082611	dualbound = 3850920.681415, lowerbound=1316891.681415, norm of subgrad 35.125464	 stepsize= 1.000000 
-dualbound = 3850989.490543, lowerbound=1322054.490543, norm of subgrad 1150.327123	dualbound = 3850989.490543, lowerbound=1322054.490543, norm of subgrad 35.592262	 stepsize= 1.000000 
-dualbound = 3851038.641065, lowerbound=1316673.641065, norm of subgrad 1147.944093	dualbound = 3851038.641065, lowerbound=1316673.641065, norm of subgrad 33.928609	 stepsize= 1.000000 
-dualbound = 3851122.290956, lowerbound=1322332.290956, norm of subgrad 1150.398753	dualbound = 3851122.290956, lowerbound=1322332.290956, norm of subgrad 34.185522	 stepsize= 1.000000 
-dualbound = 3851174.443982, lowerbound=1318704.443982, norm of subgrad 1148.825245	dualbound = 3851174.443982, lowerbound=1318704.443982, norm of subgrad 33.869648	 stepsize= 1.000000 
-dualbound = 3851240.868160, lowerbound=1321851.868160, norm of subgrad 1150.185145	dualbound = 3851240.868160, lowerbound=1321851.868160, norm of subgrad 33.770167	 stepsize= 1.000000 
-dualbound = 3851279.971339, lowerbound=1314931.971339, norm of subgrad 1147.196570	dualbound = 3851279.971339, lowerbound=1314931.971339, norm of subgrad 34.162892	 stepsize= 1.000000 
-dualbound = 3851330.132033, lowerbound=1317157.132033, norm of subgrad 1148.149874	dualbound = 3851330.132033, lowerbound=1317157.132033, norm of subgrad 33.781070	 stepsize= 1.000000 
-dualbound = 3851395.032123, lowerbound=1318105.032123, norm of subgrad 1148.542133	dualbound = 3851395.032123, lowerbound=1318105.032123, norm of subgrad 33.300151	 stepsize= 1.000000 
-dualbound = 3851444.316796, lowerbound=1316625.316796, norm of subgrad 1147.906493	dualbound = 3851444.316796, lowerbound=1316625.316796, norm of subgrad 33.365921	 stepsize= 1.000000 
-dualbound = 3851508.349617, lowerbound=1323034.349617, norm of subgrad 1150.700808	dualbound = 3851508.349617, lowerbound=1323034.349617, norm of subgrad 33.793976	 stepsize= 1.000000 
-dualbound = 3851537.812202, lowerbound=1317740.812202, norm of subgrad 1148.409688	dualbound = 3851537.812202, lowerbound=1317740.812202, norm of subgrad 33.666936	 stepsize= 1.000000 
-dualbound = 3851603.383684, lowerbound=1315544.383684, norm of subgrad 1147.442976	dualbound = 3851603.383684, lowerbound=1315544.383684, norm of subgrad 33.861061	 stepsize= 1.000000 
-dualbound = 3851660.658304, lowerbound=1323148.658304, norm of subgrad 1150.803049	dualbound = 3851660.658304, lowerbound=1323148.658304, norm of subgrad 35.443965	 stepsize= 1.000000 
-dualbound = 3851668.307866, lowerbound=1319640.307866, norm of subgrad 1149.269467	dualbound = 3851668.307866, lowerbound=1319640.307866, norm of subgrad 34.462292	 stepsize= 1.000000 
-dualbound = 3851755.616732, lowerbound=1321579.616732, norm of subgrad 1150.090699	dualbound = 3851755.616732, lowerbound=1321579.616732, norm of subgrad 34.875620	 stepsize= 1.000000 
-dualbound = 3851787.908509, lowerbound=1319299.908509, norm of subgrad 1149.091340	dualbound = 3851787.908509, lowerbound=1319299.908509, norm of subgrad 33.812598	 stepsize= 1.000000 
-dualbound = 3851867.071351, lowerbound=1328257.071351, norm of subgrad 1152.966206	dualbound = 3851867.071351, lowerbound=1328257.071351, norm of subgrad 33.958251	 stepsize= 1.000000 
-dualbound = 3851908.188752, lowerbound=1316755.188752, norm of subgrad 1147.985274	dualbound = 3851908.188752, lowerbound=1316755.188752, norm of subgrad 34.001726	 stepsize= 1.000000 
-dualbound = 3851962.685549, lowerbound=1317042.685549, norm of subgrad 1148.119630	dualbound = 3851962.685549, lowerbound=1317042.685549, norm of subgrad 34.503577	 stepsize= 1.000000 
-dualbound = 3852007.089780, lowerbound=1325898.089780, norm of subgrad 1151.931895	dualbound = 3852007.089780, lowerbound=1325898.089780, norm of subgrad 33.066663	 stepsize= 1.000000 
-dualbound = 3852082.873653, lowerbound=1317589.873653, norm of subgrad 1148.324812	dualbound = 3852082.873653, lowerbound=1317589.873653, norm of subgrad 33.701393	 stepsize= 1.000000 
-dualbound = 3852109.890411, lowerbound=1314484.890411, norm of subgrad 1147.010850	dualbound = 3852109.890411, lowerbound=1314484.890411, norm of subgrad 34.293101	 stepsize= 1.000000 
-dualbound = 3852165.139800, lowerbound=1318830.139800, norm of subgrad 1148.895617	dualbound = 3852165.139800, lowerbound=1318830.139800, norm of subgrad 34.441971	 stepsize= 1.000000 
-dualbound = 3852194.799949, lowerbound=1314592.799949, norm of subgrad 1147.078376	dualbound = 3852194.799949, lowerbound=1314592.799949, norm of subgrad 35.009429	 stepsize= 1.000000 
-dualbound = 3852258.779075, lowerbound=1322442.779075, norm of subgrad 1150.493711	dualbound = 3852258.779075, lowerbound=1322442.779075, norm of subgrad 35.453901	 stepsize= 1.000000 
-dualbound = 3852309.005207, lowerbound=1320539.005207, norm of subgrad 1149.648644	dualbound = 3852309.005207, lowerbound=1320539.005207, norm of subgrad 34.687550	 stepsize= 1.000000 
-dualbound = 3852365.939983, lowerbound=1319623.939983, norm of subgrad 1149.234502	dualbound = 3852365.939983, lowerbound=1319623.939983, norm of subgrad 34.248135	 stepsize= 1.000000 
-dualbound = 3852437.040665, lowerbound=1321141.040665, norm of subgrad 1149.896535	dualbound = 3852437.040665, lowerbound=1321141.040665, norm of subgrad 34.526811	 stepsize= 1.000000 
-dualbound = 3852498.580336, lowerbound=1313211.580336, norm of subgrad 1146.454352	dualbound = 3852498.580336, lowerbound=1313211.580336, norm of subgrad 34.749672	 stepsize= 1.000000 
-dualbound = 3852506.664372, lowerbound=1319390.664372, norm of subgrad 1149.130830	dualbound = 3852506.664372, lowerbound=1319390.664372, norm of subgrad 33.452713	 stepsize= 1.000000 
-dualbound = 3852585.011064, lowerbound=1318743.011064, norm of subgrad 1148.847253	dualbound = 3852585.011064, lowerbound=1318743.011064, norm of subgrad 34.428864	 stepsize= 1.000000 
-dualbound = 3852649.486149, lowerbound=1320201.486149, norm of subgrad 1149.492273	dualbound = 3852649.486149, lowerbound=1320201.486149, norm of subgrad 34.575643	 stepsize= 1.000000 
-dualbound = 3852697.721053, lowerbound=1318701.721053, norm of subgrad 1148.841904	dualbound = 3852697.721053, lowerbound=1318701.721053, norm of subgrad 34.412714	 stepsize= 1.000000 
-dualbound = 3852729.768392, lowerbound=1321074.768392, norm of subgrad 1149.889459	dualbound = 3852729.768392, lowerbound=1321074.768392, norm of subgrad 34.684973	 stepsize= 1.000000 
-dualbound = 3852787.481639, lowerbound=1321566.481639, norm of subgrad 1150.107161	dualbound = 3852787.481639, lowerbound=1321566.481639, norm of subgrad 35.181149	 stepsize= 1.000000 
-dualbound = 3852840.633360, lowerbound=1316270.633360, norm of subgrad 1147.777258	dualbound = 3852840.633360, lowerbound=1316270.633360, norm of subgrad 34.280486	 stepsize= 1.000000 
-dualbound = 3852898.056825, lowerbound=1322601.056825, norm of subgrad 1150.541202	dualbound = 3852898.056825, lowerbound=1322601.056825, norm of subgrad 34.661556	 stepsize= 1.000000 
-dualbound = 3852948.132007, lowerbound=1315825.132007, norm of subgrad 1147.580991	dualbound = 3852948.132007, lowerbound=1315825.132007, norm of subgrad 34.162482	 stepsize= 1.000000 
-dualbound = 3853010.358518, lowerbound=1321987.358518, norm of subgrad 1150.257953	dualbound = 3853010.358518, lowerbound=1321987.358518, norm of subgrad 34.179329	 stepsize= 1.000000 
-dualbound = 3853033.674958, lowerbound=1311507.674958, norm of subgrad 1145.734993	dualbound = 3853033.674958, lowerbound=1311507.674958, norm of subgrad 34.990233	 stepsize= 1.000000 
-dualbound = 3853086.844953, lowerbound=1323306.844953, norm of subgrad 1150.840495	dualbound = 3853086.844953, lowerbound=1323306.844953, norm of subgrad 34.353602	 stepsize= 1.000000 
-dualbound = 3853150.404146, lowerbound=1318258.404146, norm of subgrad 1148.647206	dualbound = 3853150.404146, lowerbound=1318258.404146, norm of subgrad 34.576859	 stepsize= 1.000000 
-dualbound = 3853199.799718, lowerbound=1320979.799718, norm of subgrad 1149.833814	dualbound = 3853199.799718, lowerbound=1320979.799718, norm of subgrad 34.458607	 stepsize= 1.000000 
-dualbound = 3853279.506158, lowerbound=1318152.506158, norm of subgrad 1148.593708	dualbound = 3853279.506158, lowerbound=1318152.506158, norm of subgrad 34.564526	 stepsize= 1.000000 
-dualbound = 3853302.421723, lowerbound=1322339.421723, norm of subgrad 1150.417499	dualbound = 3853302.421723, lowerbound=1322339.421723, norm of subgrad 33.821821	 stepsize= 1.000000 
-dualbound = 3853373.223690, lowerbound=1315308.223690, norm of subgrad 1147.384950	dualbound = 3853373.223690, lowerbound=1315308.223690, norm of subgrad 35.423184	 stepsize= 1.000000 
-dualbound = 3853406.889700, lowerbound=1315783.889700, norm of subgrad 1147.580886	dualbound = 3853406.889700, lowerbound=1315783.889700, norm of subgrad 34.520516	 stepsize= 1.000000 
-dualbound = 3853487.282828, lowerbound=1315922.282828, norm of subgrad 1147.624626	dualbound = 3853487.282828, lowerbound=1315922.282828, norm of subgrad 34.646690	 stepsize= 1.000000 
-dualbound = 3853531.443710, lowerbound=1323293.443710, norm of subgrad 1150.842927	dualbound = 3853531.443710, lowerbound=1323293.443710, norm of subgrad 34.498708	 stepsize= 1.000000 
-dualbound = 3853588.984213, lowerbound=1318434.984213, norm of subgrad 1148.729291	dualbound = 3853588.984213, lowerbound=1318434.984213, norm of subgrad 34.663244	 stepsize= 1.000000 
-dualbound = 3853626.557115, lowerbound=1318735.557115, norm of subgrad 1148.864464	dualbound = 3853626.557115, lowerbound=1318735.557115, norm of subgrad 34.519167	 stepsize= 1.000000 
-dualbound = 3853719.805101, lowerbound=1318402.805101, norm of subgrad 1148.668710	dualbound = 3853719.805101, lowerbound=1318402.805101, norm of subgrad 33.619161	 stepsize= 1.000000 
-dualbound = 3853750.500029, lowerbound=1324659.500029, norm of subgrad 1151.397629	dualbound = 3853750.500029, lowerbound=1324659.500029, norm of subgrad 32.980220	 stepsize= 1.000000 
-dualbound = 3853816.285351, lowerbound=1315761.285351, norm of subgrad 1147.548816	dualbound = 3853816.285351, lowerbound=1315761.285351, norm of subgrad 34.245953	 stepsize= 1.000000 
-dualbound = 3853850.693809, lowerbound=1321202.693809, norm of subgrad 1149.925951	dualbound = 3853850.693809, lowerbound=1321202.693809, norm of subgrad 34.079443	 stepsize= 1.000000 
-dualbound = 3853889.771028, lowerbound=1316046.771028, norm of subgrad 1147.668406	dualbound = 3853889.771028, lowerbound=1316046.771028, norm of subgrad 33.690907	 stepsize= 1.000000 
-dualbound = 3853938.123395, lowerbound=1323887.123395, norm of subgrad 1151.088669	dualbound = 3853938.123395, lowerbound=1323887.123395, norm of subgrad 34.151901	 stepsize= 1.000000 
-dualbound = 3854005.522718, lowerbound=1316062.522718, norm of subgrad 1147.676576	dualbound = 3854005.522718, lowerbound=1316062.522718, norm of subgrad 34.152589	 stepsize= 1.000000 
-dualbound = 3854060.632368, lowerbound=1330953.632368, norm of subgrad 1154.125917	dualbound = 3854060.632368, lowerbound=1330953.632368, norm of subgrad 33.288281	 stepsize= 1.000000 
-dualbound = 3854126.165409, lowerbound=1316885.165409, norm of subgrad 1148.025769	dualbound = 3854126.165409, lowerbound=1316885.165409, norm of subgrad 33.816165	 stepsize= 1.000000 
-dualbound = 3854158.213341, lowerbound=1322960.213341, norm of subgrad 1150.676416	dualbound = 3854158.213341, lowerbound=1322960.213341, norm of subgrad 33.586425	 stepsize= 1.000000 
-dualbound = 3854192.674825, lowerbound=1316233.674825, norm of subgrad 1147.758108	dualbound = 3854192.674825, lowerbound=1316233.674825, norm of subgrad 33.903709	 stepsize= 1.000000 
-dualbound = 3854247.217853, lowerbound=1319655.217853, norm of subgrad 1149.247675	dualbound = 3854247.217853, lowerbound=1319655.217853, norm of subgrad 34.198582	 stepsize= 1.000000 
-dualbound = 3854316.157240, lowerbound=1320197.157240, norm of subgrad 1149.468641	dualbound = 3854316.157240, lowerbound=1320197.157240, norm of subgrad 33.910756	 stepsize= 1.000000 
-dualbound = 3854359.493754, lowerbound=1320644.493754, norm of subgrad 1149.675821	dualbound = 3854359.493754, lowerbound=1320644.493754, norm of subgrad 33.960809	 stepsize= 1.000000 
-dualbound = 3854397.587903, lowerbound=1319528.587903, norm of subgrad 1149.203023	dualbound = 3854397.587903, lowerbound=1319528.587903, norm of subgrad 34.308806	 stepsize= 1.000000 
-dualbound = 3854459.346275, lowerbound=1324861.346275, norm of subgrad 1151.503516	dualbound = 3854459.346275, lowerbound=1324861.346275, norm of subgrad 34.069904	 stepsize= 1.000000 
-dualbound = 3854504.876177, lowerbound=1321690.876177, norm of subgrad 1150.114288	dualbound = 3854504.876177, lowerbound=1321690.876177, norm of subgrad 33.429477	 stepsize= 1.000000 
-dualbound = 3854567.194926, lowerbound=1318733.194926, norm of subgrad 1148.824702	dualbound = 3854567.194926, lowerbound=1318733.194926, norm of subgrad 33.575568	 stepsize= 1.000000 
-dualbound = 3854615.315746, lowerbound=1322346.315746, norm of subgrad 1150.422668	dualbound = 3854615.315746, lowerbound=1322346.315746, norm of subgrad 34.265446	 stepsize= 1.000000 
-dualbound = 3854647.179476, lowerbound=1325952.179476, norm of subgrad 1151.981415	dualbound = 3854647.179476, lowerbound=1325952.179476, norm of subgrad 33.776674	 stepsize= 1.000000 
-dualbound = 3854711.393651, lowerbound=1316835.393651, norm of subgrad 1148.042854	dualbound = 3854711.393651, lowerbound=1316835.393651, norm of subgrad 35.088662	 stepsize= 1.000000 
-dualbound = 3854738.695318, lowerbound=1318750.695318, norm of subgrad 1148.838847	dualbound = 3854738.695318, lowerbound=1318750.695318, norm of subgrad 33.276143	 stepsize= 1.000000 
-dualbound = 3854814.381050, lowerbound=1315800.381050, norm of subgrad 1147.538836	dualbound = 3854814.381050, lowerbound=1315800.381050, norm of subgrad 33.476645	 stepsize= 1.000000 
-dualbound = 3854895.201607, lowerbound=1319516.201607, norm of subgrad 1149.167177	dualbound = 3854895.201607, lowerbound=1319516.201607, norm of subgrad 33.909004	 stepsize= 1.000000 
-dualbound = 3854938.441072, lowerbound=1321881.441072, norm of subgrad 1150.186698	dualbound = 3854938.441072, lowerbound=1321881.441072, norm of subgrad 33.033914	 stepsize= 1.000000 
-dualbound = 3854999.792742, lowerbound=1321140.792742, norm of subgrad 1149.885122	dualbound = 3854999.792742, lowerbound=1321140.792742, norm of subgrad 34.005171	 stepsize= 1.000000 
-dualbound = 3855038.156771, lowerbound=1318875.156771, norm of subgrad 1148.900412	dualbound = 3855038.156771, lowerbound=1318875.156771, norm of subgrad 33.695163	 stepsize= 1.000000 
-dualbound = 3855102.594684, lowerbound=1321064.594684, norm of subgrad 1149.875904	dualbound = 3855102.594684, lowerbound=1321064.594684, norm of subgrad 34.848786	 stepsize= 1.000000 
-dualbound = 3855121.464506, lowerbound=1321302.464506, norm of subgrad 1149.961506	dualbound = 3855121.464506, lowerbound=1321302.464506, norm of subgrad 33.583773	 stepsize= 1.000000 
-dualbound = 3855203.359293, lowerbound=1320098.359293, norm of subgrad 1149.431320	dualbound = 3855203.359293, lowerbound=1320098.359293, norm of subgrad 34.291322	 stepsize= 1.000000 
-dualbound = 3855237.128159, lowerbound=1319485.128159, norm of subgrad 1149.179763	dualbound = 3855237.128159, lowerbound=1319485.128159, norm of subgrad 34.099397	 stepsize= 1.000000 
-dualbound = 3855291.226600, lowerbound=1319401.226600, norm of subgrad 1149.158921	dualbound = 3855291.226600, lowerbound=1319401.226600, norm of subgrad 34.915590	 stepsize= 1.000000 
-dualbound = 3855327.082854, lowerbound=1322195.082854, norm of subgrad 1150.376061	dualbound = 3855327.082854, lowerbound=1322195.082854, norm of subgrad 34.725441	 stepsize= 1.000000 
-dualbound = 3855411.885655, lowerbound=1317446.885655, norm of subgrad 1148.266905	dualbound = 3855411.885655, lowerbound=1317446.885655, norm of subgrad 33.982390	 stepsize= 1.000000 
-dualbound = 3855459.024374, lowerbound=1318521.024374, norm of subgrad 1148.772834	dualbound = 3855459.024374, lowerbound=1318521.024374, norm of subgrad 34.715108	 stepsize= 1.000000 
-dualbound = 3855508.849418, lowerbound=1311614.849418, norm of subgrad 1145.755580	dualbound = 3855508.849418, lowerbound=1311614.849418, norm of subgrad 34.508333	 stepsize= 1.000000 
-dualbound = 3855545.986644, lowerbound=1322739.986644, norm of subgrad 1150.582890	dualbound = 3855545.986644, lowerbound=1322739.986644, norm of subgrad 33.736289	 stepsize= 1.000000 
-dualbound = 3855614.573162, lowerbound=1321372.573162, norm of subgrad 1149.990684	dualbound = 3855614.573162, lowerbound=1321372.573162, norm of subgrad 34.272241	 stepsize= 1.000000 
-dualbound = 3855662.906472, lowerbound=1322115.906472, norm of subgrad 1150.309483	dualbound = 3855662.906472, lowerbound=1322115.906472, norm of subgrad 33.827996	 stepsize= 1.000000 
-dualbound = 3855722.363822, lowerbound=1320613.363822, norm of subgrad 1149.672720	dualbound = 3855722.363822, lowerbound=1320613.363822, norm of subgrad 34.546452	 stepsize= 1.000000 
-dualbound = 3855758.177473, lowerbound=1320875.177473, norm of subgrad 1149.780491	dualbound = 3855758.177473, lowerbound=1320875.177473, norm of subgrad 33.997259	 stepsize= 1.000000 
-dualbound = 3855816.646993, lowerbound=1323816.646993, norm of subgrad 1151.048933	dualbound = 3855816.646993, lowerbound=1323816.646993, norm of subgrad 33.992198	 stepsize= 1.000000 
-dualbound = 3855877.003831, lowerbound=1318160.003831, norm of subgrad 1148.610902	dualbound = 3855877.003831, lowerbound=1318160.003831, norm of subgrad 34.747041	 stepsize= 1.000000 
-dualbound = 3855907.264614, lowerbound=1316847.264614, norm of subgrad 1148.020585	dualbound = 3855907.264614, lowerbound=1316847.264614, norm of subgrad 33.678788	 stepsize= 1.000000 
-dualbound = 3855969.302828, lowerbound=1324001.302828, norm of subgrad 1151.120890	dualbound = 3855969.302828, lowerbound=1324001.302828, norm of subgrad 33.764452	 stepsize= 1.000000 
-dualbound = 3856055.778816, lowerbound=1321719.778816, norm of subgrad 1150.147286	dualbound = 3856055.778816, lowerbound=1321719.778816, norm of subgrad 34.719965	 stepsize= 1.000000 
-dualbound = 3856061.860467, lowerbound=1320150.860467, norm of subgrad 1149.475907	dualbound = 3856061.860467, lowerbound=1320150.860467, norm of subgrad 33.912854	 stepsize= 1.000000 
-dualbound = 3856138.710530, lowerbound=1314818.710530, norm of subgrad 1147.135437	dualbound = 3856138.710530, lowerbound=1314818.710530, norm of subgrad 34.319820	 stepsize= 1.000000 
-dualbound = 3856195.586284, lowerbound=1320646.586284, norm of subgrad 1149.705435	dualbound = 3856195.586284, lowerbound=1320646.586284, norm of subgrad 35.112331	 stepsize= 1.000000 
-dualbound = 3856242.918333, lowerbound=1316361.918333, norm of subgrad 1147.847080	dualbound = 3856242.918333, lowerbound=1316361.918333, norm of subgrad 35.189942	 stepsize= 1.000000 
-dualbound = 3856251.087746, lowerbound=1323967.087746, norm of subgrad 1151.153807	dualbound = 3856251.087746, lowerbound=1323967.087746, norm of subgrad 34.585682	 stepsize= 1.000000 
-dualbound = 3856339.914381, lowerbound=1315297.914381, norm of subgrad 1147.360412	dualbound = 3856339.914381, lowerbound=1315297.914381, norm of subgrad 35.026085	 stepsize= 1.000000 
-dualbound = 3856398.859513, lowerbound=1323448.859513, norm of subgrad 1150.900022	dualbound = 3856398.859513, lowerbound=1323448.859513, norm of subgrad 34.364882	 stepsize= 1.000000 
-dualbound = 3856442.477371, lowerbound=1315755.477371, norm of subgrad 1147.591599	dualbound = 3856442.477371, lowerbound=1315755.477371, norm of subgrad 35.420585	 stepsize= 1.000000 
-dualbound = 3856485.776609, lowerbound=1318769.776609, norm of subgrad 1148.867606	dualbound = 3856485.776609, lowerbound=1318769.776609, norm of subgrad 34.209637	 stepsize= 1.000000 
-dualbound = 3856555.110620, lowerbound=1319866.110620, norm of subgrad 1149.315932	dualbound = 3856555.110620, lowerbound=1319866.110620, norm of subgrad 33.620440	 stepsize= 1.000000 
-dualbound = 3856603.744316, lowerbound=1321177.744316, norm of subgrad 1149.931626	dualbound = 3856603.744316, lowerbound=1321177.744316, norm of subgrad 34.837246	 stepsize= 1.000000 
-dualbound = 3856644.778950, lowerbound=1314021.778950, norm of subgrad 1146.788463	dualbound = 3856644.778950, lowerbound=1314021.778950, norm of subgrad 33.808795	 stepsize= 1.000000 
-dualbound = 3856715.167715, lowerbound=1322471.167715, norm of subgrad 1150.474323	dualbound = 3856715.167715, lowerbound=1322471.167715, norm of subgrad 34.502011	 stepsize= 1.000000 
-dualbound = 3856748.314778, lowerbound=1320797.314778, norm of subgrad 1149.747935	dualbound = 3856748.314778, lowerbound=1320797.314778, norm of subgrad 34.002163	 stepsize= 1.000000 
-dualbound = 3856801.895736, lowerbound=1320831.895736, norm of subgrad 1149.749927	dualbound = 3856801.895736, lowerbound=1320831.895736, norm of subgrad 33.861201	 stepsize= 1.000000 
-dualbound = 3856864.933428, lowerbound=1324555.933428, norm of subgrad 1151.360905	dualbound = 3856864.933428, lowerbound=1324555.933428, norm of subgrad 33.749632	 stepsize= 1.000000 
-dualbound = 3856915.951057, lowerbound=1321425.951057, norm of subgrad 1150.039978	dualbound = 3856915.951057, lowerbound=1321425.951057, norm of subgrad 34.885780	 stepsize= 1.000000 
-dualbound = 3856945.903873, lowerbound=1317650.903873, norm of subgrad 1148.363577	dualbound = 3856945.903873, lowerbound=1317650.903873, norm of subgrad 33.435801	 stepsize= 1.000000 
-dualbound = 3857025.493562, lowerbound=1320004.493562, norm of subgrad 1149.394838	dualbound = 3857025.493562, lowerbound=1320004.493562, norm of subgrad 34.403338	 stepsize= 1.000000 
-dualbound = 3857050.616365, lowerbound=1325722.616365, norm of subgrad 1151.862238	dualbound = 3857050.616365, lowerbound=1325722.616365, norm of subgrad 33.001861	 stepsize= 1.000000 
-dualbound = 3857135.825665, lowerbound=1315135.825665, norm of subgrad 1147.260139	dualbound = 3857135.825665, lowerbound=1315135.825665, norm of subgrad 33.988370	 stepsize= 1.000000 
-dualbound = 3857174.024304, lowerbound=1322448.024304, norm of subgrad 1150.451226	dualbound = 3857174.024304, lowerbound=1322448.024304, norm of subgrad 33.588668	 stepsize= 1.000000 
-dualbound = 3857228.207324, lowerbound=1315820.207324, norm of subgrad 1147.554011	dualbound = 3857228.207324, lowerbound=1315820.207324, norm of subgrad 33.379380	 stepsize= 1.000000 
-dualbound = 3857283.933828, lowerbound=1321905.933828, norm of subgrad 1150.214734	dualbound = 3857283.933828, lowerbound=1321905.933828, norm of subgrad 33.819026	 stepsize= 1.000000 
-dualbound = 3857341.653263, lowerbound=1320195.653263, norm of subgrad 1149.478862	dualbound = 3857341.653263, lowerbound=1320195.653263, norm of subgrad 34.113332	 stepsize= 1.000000 
-dualbound = 3857366.545812, lowerbound=1322763.545812, norm of subgrad 1150.621374	dualbound = 3857366.545812, lowerbound=1322763.545812, norm of subgrad 34.509311	 stepsize= 1.000000 
-dualbound = 3857429.254885, lowerbound=1325610.254885, norm of subgrad 1151.867290	dualbound = 3857429.254885, lowerbound=1325610.254885, norm of subgrad 35.365365	 stepsize= 1.000000 
-dualbound = 3857469.739222, lowerbound=1320435.739222, norm of subgrad 1149.588944	dualbound = 3857469.739222, lowerbound=1320435.739222, norm of subgrad 34.051202	 stepsize= 1.000000 
-dualbound = 3857534.208036, lowerbound=1321498.208036, norm of subgrad 1150.056176	dualbound = 3857534.208036, lowerbound=1321498.208036, norm of subgrad 34.575552	 stepsize= 1.000000 
-dualbound = 3857590.052713, lowerbound=1320359.052713, norm of subgrad 1149.509049	dualbound = 3857590.052713, lowerbound=1320359.052713, norm of subgrad 32.677893	 stepsize= 1.000000 
-dualbound = 3857651.860762, lowerbound=1319574.860762, norm of subgrad 1149.203577	dualbound = 3857651.860762, lowerbound=1319574.860762, norm of subgrad 33.997177	 stepsize= 1.000000 
-dualbound = 3857689.291850, lowerbound=1324256.291850, norm of subgrad 1151.243368	dualbound = 3857689.291850, lowerbound=1324256.291850, norm of subgrad 33.799868	 stepsize= 1.000000 
-dualbound = 3857748.526861, lowerbound=1315751.526861, norm of subgrad 1147.515807	dualbound = 3857748.526861, lowerbound=1315751.526861, norm of subgrad 33.169791	 stepsize= 1.000000 
-dualbound = 3857807.967018, lowerbound=1322590.967018, norm of subgrad 1150.511611	dualbound = 3857807.967018, lowerbound=1322590.967018, norm of subgrad 33.844352	 stepsize= 1.000000 
-dualbound = 3857830.422183, lowerbound=1322559.422183, norm of subgrad 1150.527888	dualbound = 3857830.422183, lowerbound=1322559.422183, norm of subgrad 34.314067	 stepsize= 1.000000 
-dualbound = 3857878.813874, lowerbound=1321693.813874, norm of subgrad 1150.138606	dualbound = 3857878.813874, lowerbound=1321693.813874, norm of subgrad 34.254805	 stepsize= 1.000000 
-dualbound = 3857936.418650, lowerbound=1315549.418650, norm of subgrad 1147.471751	dualbound = 3857936.418650, lowerbound=1315549.418650, norm of subgrad 34.635311	 stepsize= 1.000000 
-dualbound = 3857987.651217, lowerbound=1321460.651217, norm of subgrad 1150.042891	dualbound = 3857987.651217, lowerbound=1321460.651217, norm of subgrad 34.485251	 stepsize= 1.000000 
-dualbound = 3858022.144864, lowerbound=1320430.144864, norm of subgrad 1149.626524	dualbound = 3858022.144864, lowerbound=1320430.144864, norm of subgrad 35.291552	 stepsize= 1.000000 
-dualbound = 3858093.239000, lowerbound=1317459.239000, norm of subgrad 1148.308425	dualbound = 3858093.239000, lowerbound=1317459.239000, norm of subgrad 34.987057	 stepsize= 1.000000 
-dualbound = 3858132.447475, lowerbound=1320271.447475, norm of subgrad 1149.539668	dualbound = 3858132.447475, lowerbound=1320271.447475, norm of subgrad 34.773675	 stepsize= 1.000000 
-dualbound = 3858187.099252, lowerbound=1315144.099252, norm of subgrad 1147.309069	dualbound = 3858187.099252, lowerbound=1315144.099252, norm of subgrad 35.052129	 stepsize= 1.000000 
-dualbound = 3858233.200243, lowerbound=1325256.200243, norm of subgrad 1151.713593	dualbound = 3858233.200243, lowerbound=1325256.200243, norm of subgrad 35.129774	 stepsize= 1.000000 
-dualbound = 3858291.536134, lowerbound=1317623.536134, norm of subgrad 1148.371254	dualbound = 3858291.536134, lowerbound=1317623.536134, norm of subgrad 34.515734	 stepsize= 1.000000 
-dualbound = 3858364.405700, lowerbound=1319650.405700, norm of subgrad 1149.261679	dualbound = 3858364.405700, lowerbound=1319650.405700, norm of subgrad 34.998137	 stepsize= 1.000000 
-dualbound = 3858394.838802, lowerbound=1320213.838802, norm of subgrad 1149.516785	dualbound = 3858394.838802, lowerbound=1320213.838802, norm of subgrad 34.719348	 stepsize= 1.000000 
-dualbound = 3858470.468233, lowerbound=1317262.468233, norm of subgrad 1148.210115	dualbound = 3858470.468233, lowerbound=1317262.468233, norm of subgrad 34.635667	 stepsize= 1.000000 
-dualbound = 3858516.090546, lowerbound=1321684.090546, norm of subgrad 1150.130901	dualbound = 3858516.090546, lowerbound=1321684.090546, norm of subgrad 34.097248	 stepsize= 1.000000 
-dualbound = 3858567.692437, lowerbound=1317260.692437, norm of subgrad 1148.216309	dualbound = 3858567.692437, lowerbound=1317260.692437, norm of subgrad 34.519587	 stepsize= 1.000000 
-dualbound = 3858602.556148, lowerbound=1319712.556148, norm of subgrad 1149.283062	dualbound = 3858602.556148, lowerbound=1319712.556148, norm of subgrad 34.261695	 stepsize= 1.000000 
-dualbound = 3858678.662384, lowerbound=1321677.662384, norm of subgrad 1150.124194	dualbound = 3858678.662384, lowerbound=1321677.662384, norm of subgrad 34.410845	 stepsize= 1.000000 
-dualbound = 3858716.119903, lowerbound=1323407.119903, norm of subgrad 1150.864944	dualbound = 3858716.119903, lowerbound=1323407.119903, norm of subgrad 33.473236	 stepsize= 1.000000 
-dualbound = 3858767.527183, lowerbound=1322794.527183, norm of subgrad 1150.601376	dualbound = 3858767.527183, lowerbound=1322794.527183, norm of subgrad 33.769917	 stepsize= 1.000000 
-dualbound = 3858833.835826, lowerbound=1318617.835826, norm of subgrad 1148.794949	dualbound = 3858833.835826, lowerbound=1318617.835826, norm of subgrad 34.326501	 stepsize= 1.000000 
-dualbound = 3858877.598765, lowerbound=1322559.598765, norm of subgrad 1150.518839	dualbound = 3858877.598765, lowerbound=1322559.598765, norm of subgrad 34.318551	 stepsize= 1.000000 
-dualbound = 3858933.055777, lowerbound=1318414.055777, norm of subgrad 1148.699724	dualbound = 3858933.055777, lowerbound=1318414.055777, norm of subgrad 33.947857	 stepsize= 1.000000 
-dualbound = 3858987.858817, lowerbound=1321680.858817, norm of subgrad 1150.104282	dualbound = 3858987.858817, lowerbound=1321680.858817, norm of subgrad 33.373688	 stepsize= 1.000000 
-dualbound = 3859056.709130, lowerbound=1318417.709130, norm of subgrad 1148.687821	dualbound = 3859056.709130, lowerbound=1318417.709130, norm of subgrad 33.687539	 stepsize= 1.000000 
-dualbound = 3859102.855568, lowerbound=1319492.855568, norm of subgrad 1149.155279	dualbound = 3859102.855568, lowerbound=1319492.855568, norm of subgrad 33.333863	 stepsize= 1.000000 
-dualbound = 3859155.067578, lowerbound=1321144.067578, norm of subgrad 1149.857412	dualbound = 3859155.067578, lowerbound=1321144.067578, norm of subgrad 32.866579	 stepsize= 1.000000 
-dualbound = 3859236.805995, lowerbound=1316994.805995, norm of subgrad 1148.066987	dualbound = 3859236.805995, lowerbound=1316994.805995, norm of subgrad 33.833983	 stepsize= 1.000000 
-dualbound = 3859254.025391, lowerbound=1319135.025391, norm of subgrad 1149.009149	dualbound = 3859254.025391, lowerbound=1319135.025391, norm of subgrad 33.229797	 stepsize= 1.000000 
-dualbound = 3859307.514415, lowerbound=1317763.514415, norm of subgrad 1148.422620	dualbound = 3859307.514415, lowerbound=1317763.514415, norm of subgrad 34.124610	 stepsize= 1.000000 
-dualbound = 3859344.905370, lowerbound=1318617.905370, norm of subgrad 1148.826316	dualbound = 3859344.905370, lowerbound=1318617.905370, norm of subgrad 34.948404	 stepsize= 1.000000 
-dualbound = 3859380.580612, lowerbound=1323477.580612, norm of subgrad 1150.922491	dualbound = 3859380.580612, lowerbound=1323477.580612, norm of subgrad 34.360955	 stepsize= 1.000000 
-dualbound = 3859445.595666, lowerbound=1321122.595666, norm of subgrad 1149.881557	dualbound = 3859445.595666, lowerbound=1321122.595666, norm of subgrad 34.205483	 stepsize= 1.000000 
-dualbound = 3859516.887001, lowerbound=1317108.887001, norm of subgrad 1148.148025	dualbound = 3859516.887001, lowerbound=1317108.887001, norm of subgrad 34.731705	 stepsize= 1.000000 
-dualbound = 3859550.403651, lowerbound=1319138.403651, norm of subgrad 1149.061532	dualbound = 3859550.403651, lowerbound=1319138.403651, norm of subgrad 35.178355	 stepsize= 1.000000 
-dualbound = 3859604.966015, lowerbound=1318445.966015, norm of subgrad 1148.724060	dualbound = 3859604.966015, lowerbound=1318445.966015, norm of subgrad 34.286475	 stepsize= 1.000000 
-dualbound = 3859678.721456, lowerbound=1321691.721456, norm of subgrad 1150.138131	dualbound = 3859678.721456, lowerbound=1321691.721456, norm of subgrad 34.637486	 stepsize= 1.000000 
-dualbound = 3859712.077088, lowerbound=1322140.077088, norm of subgrad 1150.320424	dualbound = 3859712.077088, lowerbound=1322140.077088, norm of subgrad 33.620762	 stepsize= 1.000000 
-dualbound = 3859789.074127, lowerbound=1324426.074127, norm of subgrad 1151.327093	dualbound = 3859789.074127, lowerbound=1324426.074127, norm of subgrad 34.713067	 stepsize= 1.000000 
-dualbound = 3859808.474234, lowerbound=1321455.474234, norm of subgrad 1150.053248	dualbound = 3859808.474234, lowerbound=1321455.474234, norm of subgrad 34.444159	 stepsize= 1.000000 
-dualbound = 3859876.465276, lowerbound=1317590.465276, norm of subgrad 1148.340744	dualbound = 3859876.465276, lowerbound=1317590.465276, norm of subgrad 34.117313	 stepsize= 1.000000 
-dualbound = 3859921.207400, lowerbound=1320657.207400, norm of subgrad 1149.692658	dualbound = 3859921.207400, lowerbound=1320657.207400, norm of subgrad 34.361928	 stepsize= 1.000000 
-dualbound = 3859990.805183, lowerbound=1324204.805183, norm of subgrad 1151.233167	dualbound = 3859990.805183, lowerbound=1324204.805183, norm of subgrad 34.678492	 stepsize= 1.000000 
-dualbound = 3860049.042193, lowerbound=1318021.042193, norm of subgrad 1148.543879	dualbound = 3860049.042193, lowerbound=1318021.042193, norm of subgrad 34.499812	 stepsize= 1.000000 
-dualbound = 3860089.894655, lowerbound=1323266.894655, norm of subgrad 1150.810973	dualbound = 3860089.894655, lowerbound=1323266.894655, norm of subgrad 33.761701	 stepsize= 1.000000 
-dualbound = 3860136.427723, lowerbound=1320117.427723, norm of subgrad 1149.450924	dualbound = 3860136.427723, lowerbound=1320117.427723, norm of subgrad 34.154547	 stepsize= 1.000000 
-dualbound = 3860209.938387, lowerbound=1319111.938387, norm of subgrad 1149.006065	dualbound = 3860209.938387, lowerbound=1319111.938387, norm of subgrad 34.300301	 stepsize= 1.000000 
-dualbound = 3860249.564890, lowerbound=1322345.564890, norm of subgrad 1150.405392	dualbound = 3860249.564890, lowerbound=1322345.564890, norm of subgrad 33.565257	 stepsize= 1.000000 
-dualbound = 3860304.721419, lowerbound=1319499.721419, norm of subgrad 1149.174800	dualbound = 3860304.721419, lowerbound=1319499.721419, norm of subgrad 34.031699	 stepsize= 1.000000 
-dualbound = 3860342.610876, lowerbound=1320257.610876, norm of subgrad 1149.514511	dualbound = 3860342.610876, lowerbound=1320257.610876, norm of subgrad 34.115824	 stepsize= 1.000000 
-dualbound = 3860382.722398, lowerbound=1325371.722398, norm of subgrad 1151.755062	dualbound = 3860382.722398, lowerbound=1325371.722398, norm of subgrad 34.757899	 stepsize= 1.000000 
-dualbound = 3860401.304536, lowerbound=1320807.304536, norm of subgrad 1149.759238	dualbound = 3860401.304536, lowerbound=1320807.304536, norm of subgrad 34.023259	 stepsize= 1.000000 
-dualbound = 3860502.866175, lowerbound=1319657.866175, norm of subgrad 1149.242301	dualbound = 3860502.866175, lowerbound=1319657.866175, norm of subgrad 34.663549	 stepsize= 1.000000 
-dualbound = 3860542.485121, lowerbound=1319629.485121, norm of subgrad 1149.222992	dualbound = 3860542.485121, lowerbound=1319629.485121, norm of subgrad 33.520426	 stepsize= 1.000000 
-dualbound = 3860610.872473, lowerbound=1325454.872473, norm of subgrad 1151.768150	dualbound = 3860610.872473, lowerbound=1325454.872473, norm of subgrad 34.400398	 stepsize= 1.000000 
-dualbound = 3860663.798695, lowerbound=1321469.798695, norm of subgrad 1150.026434	dualbound = 3860663.798695, lowerbound=1321469.798695, norm of subgrad 33.821978	 stepsize= 1.000000 
-dualbound = 3860703.315307, lowerbound=1321109.315307, norm of subgrad 1149.852302	dualbound = 3860703.315307, lowerbound=1321109.315307, norm of subgrad 33.022971	 stepsize= 1.000000 
-dualbound = 3860776.827812, lowerbound=1319401.827812, norm of subgrad 1149.133947	dualbound = 3860776.827812, lowerbound=1319401.827812, norm of subgrad 34.358587	 stepsize= 1.000000 
-dualbound = 3860822.053517, lowerbound=1313995.053517, norm of subgrad 1146.775067	dualbound = 3860822.053517, lowerbound=1313995.053517, norm of subgrad 33.811621	 stepsize= 1.000000 
-dualbound = 3860851.739270, lowerbound=1322636.739270, norm of subgrad 1150.604510	dualbound = 3860851.739270, lowerbound=1322636.739270, norm of subgrad 35.828561	 stepsize= 1.000000 
-dualbound = 3860901.543413, lowerbound=1321976.543413, norm of subgrad 1150.278029	dualbound = 3860901.543413, lowerbound=1321976.543413, norm of subgrad 34.825338	 stepsize= 1.000000 
-dualbound = 3860967.929532, lowerbound=1321649.929532, norm of subgrad 1150.113007	dualbound = 3860967.929532, lowerbound=1321649.929532, norm of subgrad 34.298486	 stepsize= 1.000000 
-dualbound = 3861022.550791, lowerbound=1324053.550791, norm of subgrad 1151.164867	dualbound = 3861022.550791, lowerbound=1324053.550791, norm of subgrad 34.374718	 stepsize= 1.000000 
-dualbound = 3861080.091349, lowerbound=1317813.091349, norm of subgrad 1148.442463	dualbound = 3861080.091349, lowerbound=1317813.091349, norm of subgrad 34.125365	 stepsize= 1.000000 
-dualbound = 3861139.896595, lowerbound=1324331.896595, norm of subgrad 1151.282718	dualbound = 3861139.896595, lowerbound=1324331.896595, norm of subgrad 34.348293	 stepsize= 1.000000 
-dualbound = 3861185.590978, lowerbound=1319047.590978, norm of subgrad 1148.967620	dualbound = 3861185.590978, lowerbound=1319047.590978, norm of subgrad 33.536463	 stepsize= 1.000000 
-dualbound = 3861236.280692, lowerbound=1324367.280692, norm of subgrad 1151.314588	dualbound = 3861236.280692, lowerbound=1324367.280692, norm of subgrad 34.766215	 stepsize= 1.000000 
-dualbound = 3861272.230674, lowerbound=1319391.230674, norm of subgrad 1149.162839	dualbound = 3861272.230674, lowerbound=1319391.230674, norm of subgrad 34.927782	 stepsize= 1.000000 
-dualbound = 3861322.567106, lowerbound=1321502.567106, norm of subgrad 1150.069375	dualbound = 3861322.567106, lowerbound=1321502.567106, norm of subgrad 34.746747	 stepsize= 1.000000 
-dualbound = 3861364.759815, lowerbound=1317193.759815, norm of subgrad 1148.198485	dualbound = 3861364.759815, lowerbound=1317193.759815, norm of subgrad 34.759067	 stepsize= 1.000000 
-dualbound = 3861442.890296, lowerbound=1322062.890296, norm of subgrad 1150.299479	dualbound = 3861442.890296, lowerbound=1322062.890296, norm of subgrad 34.700583	 stepsize= 1.000000 
-dualbound = 3861473.133660, lowerbound=1320774.133660, norm of subgrad 1149.766556	dualbound = 3861473.133660, lowerbound=1320774.133660, norm of subgrad 34.917666	 stepsize= 1.000000 
-dualbound = 3861528.506457, lowerbound=1317768.506457, norm of subgrad 1148.436549	dualbound = 3861528.506457, lowerbound=1317768.506457, norm of subgrad 34.545228	 stepsize= 1.000000 
-dualbound = 3861574.848191, lowerbound=1319226.848191, norm of subgrad 1149.070428	dualbound = 3861574.848191, lowerbound=1319226.848191, norm of subgrad 34.385196	 stepsize= 1.000000 
-dualbound = 3861661.069797, lowerbound=1320624.069797, norm of subgrad 1149.663894	dualbound = 3861661.069797, lowerbound=1320624.069797, norm of subgrad 34.485093	 stepsize= 1.000000 
-dualbound = 3861704.316661, lowerbound=1319004.316661, norm of subgrad 1148.954445	dualbound = 3861704.316661, lowerbound=1319004.316661, norm of subgrad 33.693425	 stepsize= 1.000000 
-dualbound = 3861762.556413, lowerbound=1321506.556413, norm of subgrad 1150.033720	dualbound = 3861762.556413, lowerbound=1321506.556413, norm of subgrad 33.604163	 stepsize= 1.000000 
-dualbound = 3861810.863570, lowerbound=1322811.863570, norm of subgrad 1150.610648	dualbound = 3861810.863570, lowerbound=1322811.863570, norm of subgrad 33.783238	 stepsize= 1.000000 
-dualbound = 3861851.901580, lowerbound=1314675.901580, norm of subgrad 1147.077112	dualbound = 3861851.901580, lowerbound=1314675.901580, norm of subgrad 33.926951	 stepsize= 1.000000 
-dualbound = 3861919.073235, lowerbound=1323047.073235, norm of subgrad 1150.735883	dualbound = 3861919.073235, lowerbound=1323047.073235, norm of subgrad 34.830614	 stepsize= 1.000000 
-dualbound = 3861960.822473, lowerbound=1318244.822473, norm of subgrad 1148.639118	dualbound = 3861960.822473, lowerbound=1318244.822473, norm of subgrad 34.186975	 stepsize= 1.000000 
-dualbound = 3862005.858561, lowerbound=1323422.858561, norm of subgrad 1150.876127	dualbound = 3862005.858561, lowerbound=1323422.858561, norm of subgrad 33.734790	 stepsize= 1.000000 
-dualbound = 3862079.328756, lowerbound=1323242.328756, norm of subgrad 1150.807251	dualbound = 3862079.328756, lowerbound=1323242.328756, norm of subgrad 34.474196	 stepsize= 1.000000 
-dualbound = 3862113.377147, lowerbound=1325504.377147, norm of subgrad 1151.817424	dualbound = 3862113.377147, lowerbound=1325504.377147, norm of subgrad 34.828844	 stepsize= 1.000000 
-dualbound = 3862161.588509, lowerbound=1316233.588509, norm of subgrad 1147.768526	dualbound = 3862161.588509, lowerbound=1316233.588509, norm of subgrad 34.455934	 stepsize= 1.000000 
-dualbound = 3862216.653386, lowerbound=1320930.653386, norm of subgrad 1149.795048	dualbound = 3862216.653386, lowerbound=1320930.653386, norm of subgrad 33.956809	 stepsize= 1.000000 
-dualbound = 3862281.095272, lowerbound=1321469.095272, norm of subgrad 1150.043519	dualbound = 3862281.095272, lowerbound=1321469.095272, norm of subgrad 34.575163	 stepsize= 1.000000 
-dualbound = 3862337.054658, lowerbound=1321109.054658, norm of subgrad 1149.889149	dualbound = 3862337.054658, lowerbound=1321109.054658, norm of subgrad 34.524765	 stepsize= 1.000000 
-dualbound = 3862363.747008, lowerbound=1318990.747008, norm of subgrad 1148.976391	dualbound = 3862363.747008, lowerbound=1318990.747008, norm of subgrad 34.390294	 stepsize= 1.000000 
-dualbound = 3862419.769059, lowerbound=1323651.769059, norm of subgrad 1150.989040	dualbound = 3862419.769059, lowerbound=1323651.769059, norm of subgrad 34.351449	 stepsize= 1.000000 
-dualbound = 3862493.762415, lowerbound=1322074.762415, norm of subgrad 1150.286817	dualbound = 3862493.762415, lowerbound=1322074.762415, norm of subgrad 34.043991	 stepsize= 1.000000 
-dualbound = 3862532.142483, lowerbound=1321005.142483, norm of subgrad 1149.836137	dualbound = 3862532.142483, lowerbound=1321005.142483, norm of subgrad 34.005589	 stepsize= 1.000000 
-dualbound = 3862574.034173, lowerbound=1318113.034173, norm of subgrad 1148.568254	dualbound = 3862574.034173, lowerbound=1318113.034173, norm of subgrad 33.732650	 stepsize= 1.000000 
-dualbound = 3862653.578017, lowerbound=1319374.578017, norm of subgrad 1149.104685	dualbound = 3862653.578017, lowerbound=1319374.578017, norm of subgrad 33.860653	 stepsize= 1.000000 
-dualbound = 3862681.310400, lowerbound=1316405.310400, norm of subgrad 1147.837232	dualbound = 3862681.310400, lowerbound=1316405.310400, norm of subgrad 33.951913	 stepsize= 1.000000 
-dualbound = 3862737.168183, lowerbound=1323671.168183, norm of subgrad 1151.019187	dualbound = 3862737.168183, lowerbound=1323671.168183, norm of subgrad 35.069328	 stepsize= 1.000000 
-dualbound = 3862784.196108, lowerbound=1325843.196108, norm of subgrad 1151.946264	dualbound = 3862784.196108, lowerbound=1325843.196108, norm of subgrad 34.409707	 stepsize= 1.000000 
-dualbound = 3862834.683884, lowerbound=1322603.683884, norm of subgrad 1150.541474	dualbound = 3862834.683884, lowerbound=1322603.683884, norm of subgrad 34.532416	 stepsize= 1.000000 
-dualbound = 3862873.333502, lowerbound=1321040.333502, norm of subgrad 1149.879704	dualbound = 3862873.333502, lowerbound=1321040.333502, norm of subgrad 34.952105	 stepsize= 1.000000 
-dualbound = 3862936.529621, lowerbound=1322135.529621, norm of subgrad 1150.341919	dualbound = 3862936.529621, lowerbound=1322135.529621, norm of subgrad 34.845317	 stepsize= 1.000000 
-dualbound = 3862998.716153, lowerbound=1322485.716153, norm of subgrad 1150.480211	dualbound = 3862998.716153, lowerbound=1322485.716153, norm of subgrad 34.368394	 stepsize= 1.000000 
-dualbound = 3863061.199972, lowerbound=1316797.199972, norm of subgrad 1147.986585	dualbound = 3863061.199972, lowerbound=1316797.199972, norm of subgrad 33.741426	 stepsize= 1.000000 
-dualbound = 3863110.255974, lowerbound=1319759.255974, norm of subgrad 1149.297723	dualbound = 3863110.255974, lowerbound=1319759.255974, norm of subgrad 34.279090	 stepsize= 1.000000 
-dualbound = 3863166.949040, lowerbound=1313788.949040, norm of subgrad 1146.686073	dualbound = 3863166.949040, lowerbound=1313788.949040, norm of subgrad 34.010191	 stepsize= 1.000000 
-dualbound = 3863210.535592, lowerbound=1321537.535592, norm of subgrad 1150.053275	dualbound = 3863210.535592, lowerbound=1321537.535592, norm of subgrad 33.594442	 stepsize= 1.000000 
-dualbound = 3863272.599557, lowerbound=1320565.599557, norm of subgrad 1149.633681	dualbound = 3863272.599557, lowerbound=1320565.599557, norm of subgrad 33.971517	 stepsize= 1.000000 
-dualbound = 3863318.494996, lowerbound=1324231.494996, norm of subgrad 1151.209579	dualbound = 3863318.494996, lowerbound=1324231.494996, norm of subgrad 33.134505	 stepsize= 1.000000 
-dualbound = 3863371.434145, lowerbound=1320160.434145, norm of subgrad 1149.470937	dualbound = 3863371.434145, lowerbound=1320160.434145, norm of subgrad 34.291969	 stepsize= 1.000000 
-dualbound = 3863414.769765, lowerbound=1321027.769765, norm of subgrad 1149.810319	dualbound = 3863414.769765, lowerbound=1321027.769765, norm of subgrad 32.853244	 stepsize= 1.000000 
-dualbound = 3863512.509353, lowerbound=1316172.509353, norm of subgrad 1147.697482	dualbound = 3863512.509353, lowerbound=1316172.509353, norm of subgrad 33.685896	 stepsize= 1.000000 
-dualbound = 3863550.356667, lowerbound=1321212.356667, norm of subgrad 1149.907977	dualbound = 3863550.356667, lowerbound=1321212.356667, norm of subgrad 33.374351	 stepsize= 1.000000 
-dualbound = 3863589.326552, lowerbound=1323237.326552, norm of subgrad 1150.818981	dualbound = 3863589.326552, lowerbound=1323237.326552, norm of subgrad 34.437913	 stepsize= 1.000000 
-dualbound = 3863609.411685, lowerbound=1317928.411685, norm of subgrad 1148.506601	dualbound = 3863609.411685, lowerbound=1317928.411685, norm of subgrad 34.045339	 stepsize= 1.000000 
-dualbound = 3863701.953659, lowerbound=1318143.953659, norm of subgrad 1148.571702	dualbound = 3863701.953659, lowerbound=1318143.953659, norm of subgrad 34.140035	 stepsize= 1.000000 
-dualbound = 3863743.924149, lowerbound=1325449.924149, norm of subgrad 1151.777723	dualbound = 3863743.924149, lowerbound=1325449.924149, norm of subgrad 34.408872	 stepsize= 1.000000 
-dualbound = 3863775.907028, lowerbound=1316312.907028, norm of subgrad 1147.811791	dualbound = 3863775.907028, lowerbound=1316312.907028, norm of subgrad 34.510620	 stepsize= 1.000000 
-dualbound = 3863839.964453, lowerbound=1322616.964453, norm of subgrad 1150.558110	dualbound = 3863839.964453, lowerbound=1322616.964453, norm of subgrad 35.086428	 stepsize= 1.000000 
-dualbound = 3863875.707220, lowerbound=1319330.707220, norm of subgrad 1149.148253	dualbound = 3863875.707220, lowerbound=1319330.707220, norm of subgrad 35.309245	 stepsize= 1.000000 
-dualbound = 3863920.832176, lowerbound=1318138.832176, norm of subgrad 1148.621710	dualbound = 3863920.832176, lowerbound=1318138.832176, norm of subgrad 35.187000	 stepsize= 1.000000 
-dualbound = 3863982.990512, lowerbound=1323649.990512, norm of subgrad 1151.023454	dualbound = 3863982.990512, lowerbound=1323649.990512, norm of subgrad 35.597168	 stepsize= 1.000000 
-dualbound = 3864020.984415, lowerbound=1317555.984415, norm of subgrad 1148.355774	dualbound = 3864020.984415, lowerbound=1317555.984415, norm of subgrad 34.684203	 stepsize= 1.000000 
-dualbound = 3864091.364248, lowerbound=1321017.364248, norm of subgrad 1149.861454	dualbound = 3864091.364248, lowerbound=1321017.364248, norm of subgrad 35.133742	 stepsize= 1.000000 
-dualbound = 3864135.321294, lowerbound=1316221.321294, norm of subgrad 1147.764924	dualbound = 3864135.321294, lowerbound=1316221.321294, norm of subgrad 34.452243	 stepsize= 1.000000 
-dualbound = 3864205.654506, lowerbound=1323134.654506, norm of subgrad 1150.746564	dualbound = 3864205.654506, lowerbound=1323134.654506, norm of subgrad 33.960760	 stepsize= 1.000000 
-dualbound = 3864264.552957, lowerbound=1326575.552957, norm of subgrad 1152.268004	dualbound = 3864264.552957, lowerbound=1326575.552957, norm of subgrad 34.711647	 stepsize= 1.000000 
-dualbound = 3864313.656677, lowerbound=1325561.656677, norm of subgrad 1151.810165	dualbound = 3864313.656677, lowerbound=1325561.656677, norm of subgrad 33.972102	 stepsize= 1.000000 
-dualbound = 3864372.446322, lowerbound=1315046.446322, norm of subgrad 1147.247334	dualbound = 3864372.446322, lowerbound=1315046.446322, norm of subgrad 34.478829	 stepsize= 1.000000 
-dualbound = 3864428.506355, lowerbound=1322549.506355, norm of subgrad 1150.479685	dualbound = 3864428.506355, lowerbound=1322549.506355, norm of subgrad 33.317563	 stepsize= 1.000000 
-dualbound = 3864475.785497, lowerbound=1323398.785497, norm of subgrad 1150.871316	dualbound = 3864475.785497, lowerbound=1323398.785497, norm of subgrad 33.959964	 stepsize= 1.000000 
-dualbound = 3864550.495578, lowerbound=1325976.495578, norm of subgrad 1151.975041	dualbound = 3864550.495578, lowerbound=1325976.495578, norm of subgrad 33.833564	 stepsize= 1.000000 
-dualbound = 3864580.680393, lowerbound=1323042.680393, norm of subgrad 1150.708339	dualbound = 3864580.680393, lowerbound=1323042.680393, norm of subgrad 33.424315	 stepsize= 1.000000 
-dualbound = 3864632.779600, lowerbound=1316618.779600, norm of subgrad 1147.914099	dualbound = 3864632.779600, lowerbound=1316618.779600, norm of subgrad 33.765355	 stepsize= 1.000000 
-dualbound = 3864675.488637, lowerbound=1319817.488637, norm of subgrad 1149.315226	dualbound = 3864675.488637, lowerbound=1319817.488637, norm of subgrad 33.922102	 stepsize= 1.000000 
-dualbound = 3864730.311786, lowerbound=1317175.311786, norm of subgrad 1148.154307	dualbound = 3864730.311786, lowerbound=1317175.311786, norm of subgrad 33.731634	 stepsize= 1.000000 
-dualbound = 3864809.685772, lowerbound=1317838.685772, norm of subgrad 1148.457960	dualbound = 3864809.685772, lowerbound=1317838.685772, norm of subgrad 34.588640	 stepsize= 1.000000 
-dualbound = 3864840.725145, lowerbound=1319472.725145, norm of subgrad 1149.159573	dualbound = 3864840.725145, lowerbound=1319472.725145, norm of subgrad 33.556510	 stepsize= 1.000000 
-dualbound = 3864890.070839, lowerbound=1319926.070839, norm of subgrad 1149.337666	dualbound = 3864890.070839, lowerbound=1319926.070839, norm of subgrad 33.171459	 stepsize= 1.000000 
-dualbound = 3864960.413913, lowerbound=1321022.413913, norm of subgrad 1149.826254	dualbound = 3864960.413913, lowerbound=1321022.413913, norm of subgrad 33.887211	 stepsize= 1.000000 
-dualbound = 3864988.407686, lowerbound=1314522.407686, norm of subgrad 1147.017178	dualbound = 3864988.407686, lowerbound=1314522.407686, norm of subgrad 33.970484	 stepsize= 1.000000 
-dualbound = 3865028.284327, lowerbound=1324340.284327, norm of subgrad 1151.295047	dualbound = 3865028.284327, lowerbound=1324340.284327, norm of subgrad 34.349332	 stepsize= 1.000000 
-dualbound = 3865095.492209, lowerbound=1320515.492209, norm of subgrad 1149.591011	dualbound = 3865095.492209, lowerbound=1320515.492209, norm of subgrad 33.334785	 stepsize= 1.000000 
-dualbound = 3865162.093930, lowerbound=1319392.093930, norm of subgrad 1149.124055	dualbound = 3865162.093930, lowerbound=1319392.093930, norm of subgrad 34.067605	 stepsize= 1.000000 
-dualbound = 3865199.498195, lowerbound=1323644.498195, norm of subgrad 1150.995438	dualbound = 3865199.498195, lowerbound=1323644.498195, norm of subgrad 34.400643	 stepsize= 1.000000 
-dualbound = 3865237.551535, lowerbound=1321406.551535, norm of subgrad 1149.991544	dualbound = 3865237.551535, lowerbound=1321406.551535, norm of subgrad 33.347464	 stepsize= 1.000000 
-dualbound = 3865318.068148, lowerbound=1318388.068148, norm of subgrad 1148.714093	dualbound = 3865318.068148, lowerbound=1318388.068148, norm of subgrad 35.164138	 stepsize= 1.000000 
-dualbound = 3865327.710019, lowerbound=1325422.710019, norm of subgrad 1151.793692	dualbound = 3865327.710019, lowerbound=1325422.710019, norm of subgrad 34.866056	 stepsize= 1.000000 
-dualbound = 3865383.476840, lowerbound=1319656.476840, norm of subgrad 1149.279112	dualbound = 3865383.476840, lowerbound=1319656.476840, norm of subgrad 35.238712	 stepsize= 1.000000 
-dualbound = 3865430.741087, lowerbound=1321122.741087, norm of subgrad 1149.880751	dualbound = 3865430.741087, lowerbound=1321122.741087, norm of subgrad 33.915546	 stepsize= 1.000000 
-dualbound = 3865509.483651, lowerbound=1319900.483651, norm of subgrad 1149.346546	dualbound = 3865509.483651, lowerbound=1319900.483651, norm of subgrad 34.289103	 stepsize= 1.000000 
-dualbound = 3865579.650377, lowerbound=1325160.650377, norm of subgrad 1151.616972	dualbound = 3865579.650377, lowerbound=1325160.650377, norm of subgrad 33.632822	 stepsize= 1.000000 
-dualbound = 3865617.466300, lowerbound=1314881.466300, norm of subgrad 1147.190249	dualbound = 3865617.466300, lowerbound=1314881.466300, norm of subgrad 34.667217	 stepsize= 1.000000 
-dualbound = 3865638.609001, lowerbound=1322661.609001, norm of subgrad 1150.607930	dualbound = 3865638.609001, lowerbound=1322661.609001, norm of subgrad 35.470307	 stepsize= 1.000000 
-dualbound = 3865698.719060, lowerbound=1318319.719060, norm of subgrad 1148.688260	dualbound = 3865698.719060, lowerbound=1318319.719060, norm of subgrad 35.001572	 stepsize= 1.000000 
-dualbound = 3865771.100737, lowerbound=1322709.100737, norm of subgrad 1150.574248	dualbound = 3865771.100737, lowerbound=1322709.100737, norm of subgrad 34.414847	 stepsize= 1.000000 
-dualbound = 3865817.559548, lowerbound=1320096.559548, norm of subgrad 1149.450982	dualbound = 3865817.559548, lowerbound=1320096.559548, norm of subgrad 34.459524	 stepsize= 1.000000 
-dualbound = 3865850.311239, lowerbound=1317835.311239, norm of subgrad 1148.474341	dualbound = 3865850.311239, lowerbound=1317835.311239, norm of subgrad 34.507270	 stepsize= 1.000000 
-dualbound = 3865917.040630, lowerbound=1321633.040630, norm of subgrad 1150.113056	dualbound = 3865917.040630, lowerbound=1321633.040630, norm of subgrad 34.550389	 stepsize= 1.000000 
-dualbound = 3865966.677752, lowerbound=1324123.677752, norm of subgrad 1151.189245	dualbound = 3865966.677752, lowerbound=1324123.677752, norm of subgrad 34.097465	 stepsize= 1.000000 
-dualbound = 3866017.373778, lowerbound=1321899.373778, norm of subgrad 1150.222750	dualbound = 3866017.373778, lowerbound=1321899.373778, norm of subgrad 34.112989	 stepsize= 1.000000 
-dualbound = 3866072.931500, lowerbound=1321264.931500, norm of subgrad 1149.946056	dualbound = 3866072.931500, lowerbound=1321264.931500, norm of subgrad 34.154908	 stepsize= 1.000000 
-dualbound = 3866129.279566, lowerbound=1325025.279566, norm of subgrad 1151.576432	dualbound = 3866129.279566, lowerbound=1325025.279566, norm of subgrad 34.049201	 stepsize= 1.000000 
-dualbound = 3866181.874961, lowerbound=1317898.874961, norm of subgrad 1148.479375	dualbound = 3866181.874961, lowerbound=1317898.874961, norm of subgrad 34.038146	 stepsize= 1.000000 
-dualbound = 3866231.456030, lowerbound=1324847.456030, norm of subgrad 1151.488800	dualbound = 3866231.456030, lowerbound=1324847.456030, norm of subgrad 33.594361	 stepsize= 1.000000 
-dualbound = 3866271.623044, lowerbound=1320398.623044, norm of subgrad 1149.574540	dualbound = 3866271.623044, lowerbound=1320398.623044, norm of subgrad 34.105234	 stepsize= 1.000000 
-dualbound = 3866318.042172, lowerbound=1319445.042172, norm of subgrad 1149.166238	dualbound = 3866318.042172, lowerbound=1319445.042172, norm of subgrad 34.415391	 stepsize= 1.000000 
-dualbound = 3866371.678625, lowerbound=1319295.678625, norm of subgrad 1149.091675	dualbound = 3866371.678625, lowerbound=1319295.678625, norm of subgrad 34.199948	 stepsize= 1.000000 
-dualbound = 3866427.074441, lowerbound=1321825.074441, norm of subgrad 1150.188713	dualbound = 3866427.074441, lowerbound=1321825.074441, norm of subgrad 34.123245	 stepsize= 1.000000 
-dualbound = 3866481.687330, lowerbound=1319395.687330, norm of subgrad 1149.125183	dualbound = 3866481.687330, lowerbound=1319395.687330, norm of subgrad 33.876436	 stepsize= 1.000000 
-dualbound = 3866511.655228, lowerbound=1321649.655228, norm of subgrad 1150.134190	dualbound = 3866511.655228, lowerbound=1321649.655228, norm of subgrad 34.481414	 stepsize= 1.000000 
-dualbound = 3866576.454188, lowerbound=1323124.454188, norm of subgrad 1150.748215	dualbound = 3866576.454188, lowerbound=1323124.454188, norm of subgrad 34.085172	 stepsize= 1.000000 
-dualbound = 3866641.052699, lowerbound=1318678.052699, norm of subgrad 1148.819852	dualbound = 3866641.052699, lowerbound=1318678.052699, norm of subgrad 34.257824	 stepsize= 1.000000 
-dualbound = 3866672.105753, lowerbound=1318485.105753, norm of subgrad 1148.731085	dualbound = 3866672.105753, lowerbound=1318485.105753, norm of subgrad 33.601385	 stepsize= 1.000000 
-dualbound = 3866743.880436, lowerbound=1328116.880436, norm of subgrad 1152.901071	dualbound = 3866743.880436, lowerbound=1328116.880436, norm of subgrad 33.701256	 stepsize= 1.000000 
-dualbound = 3866789.453744, lowerbound=1317486.453744, norm of subgrad 1148.300245	dualbound = 3866789.453744, lowerbound=1317486.453744, norm of subgrad 33.949570	 stepsize= 1.000000 
-dualbound = 3866845.168039, lowerbound=1327155.168039, norm of subgrad 1152.487383	dualbound = 3866845.168039, lowerbound=1327155.168039, norm of subgrad 33.581458	 stepsize= 1.000000 
-dualbound = 3866908.146304, lowerbound=1316985.146304, norm of subgrad 1148.098056	dualbound = 3866908.146304, lowerbound=1316985.146304, norm of subgrad 34.741593	 stepsize= 1.000000 
-dualbound = 3866959.205278, lowerbound=1323285.205278, norm of subgrad 1150.826314	dualbound = 3866959.205278, lowerbound=1323285.205278, norm of subgrad 34.162245	 stepsize= 1.000000 
-dualbound = 3866991.690705, lowerbound=1320669.690705, norm of subgrad 1149.692868	dualbound = 3866991.690705, lowerbound=1320669.690705, norm of subgrad 34.007138	 stepsize= 1.000000 
-dualbound = 3867050.979863, lowerbound=1318823.979863, norm of subgrad 1148.889455	dualbound = 3867050.979863, lowerbound=1318823.979863, norm of subgrad 34.384432	 stepsize= 1.000000 
-dualbound = 3867101.589507, lowerbound=1326653.589507, norm of subgrad 1152.284509	dualbound = 3867101.589507, lowerbound=1326653.589507, norm of subgrad 34.008964	 stepsize= 1.000000 
-dualbound = 3867169.402161, lowerbound=1318403.402161, norm of subgrad 1148.697698	dualbound = 3867169.402161, lowerbound=1318403.402161, norm of subgrad 34.217140	 stepsize= 1.000000 
-dualbound = 3867187.840321, lowerbound=1324448.840321, norm of subgrad 1151.350008	dualbound = 3867187.840321, lowerbound=1324448.840321, norm of subgrad 34.299244	 stepsize= 1.000000 
-dualbound = 3867261.099311, lowerbound=1321143.099311, norm of subgrad 1149.901778	dualbound = 3867261.099311, lowerbound=1321143.099311, norm of subgrad 34.702435	 stepsize= 1.000000 
-dualbound = 3867286.650779, lowerbound=1318371.650779, norm of subgrad 1148.701724	dualbound = 3867286.650779, lowerbound=1318371.650779, norm of subgrad 34.198706	 stepsize= 1.000000 
-dualbound = 3867374.249744, lowerbound=1315541.249744, norm of subgrad 1147.453376	dualbound = 3867374.249744, lowerbound=1315541.249744, norm of subgrad 34.577434	 stepsize= 1.000000 
-dualbound = 3867434.554541, lowerbound=1319581.554541, norm of subgrad 1149.193872	dualbound = 3867434.554541, lowerbound=1319581.554541, norm of subgrad 33.545563	 stepsize= 1.000000 
-dualbound = 3867495.901291, lowerbound=1323752.901291, norm of subgrad 1151.017333	dualbound = 3867495.901291, lowerbound=1323752.901291, norm of subgrad 33.902017	 stepsize= 1.000000 
-dualbound = 3867504.257570, lowerbound=1321992.257570, norm of subgrad 1150.291814	dualbound = 3867504.257570, lowerbound=1321992.257570, norm of subgrad 34.458036	 stepsize= 1.000000 
-dualbound = 3867558.470205, lowerbound=1319919.470205, norm of subgrad 1149.366117	dualbound = 3867558.470205, lowerbound=1319919.470205, norm of subgrad 34.310532	 stepsize= 1.000000 
-dualbound = 3867638.593568, lowerbound=1320977.593568, norm of subgrad 1149.810242	dualbound = 3867638.593568, lowerbound=1320977.593568, norm of subgrad 34.148548	 stepsize= 1.000000 
-dualbound = 3867650.130642, lowerbound=1321869.130642, norm of subgrad 1150.218732	dualbound = 3867650.130642, lowerbound=1321869.130642, norm of subgrad 33.845784	 stepsize= 1.000000 
-dualbound = 3867718.277698, lowerbound=1318163.277698, norm of subgrad 1148.624516	dualbound = 3867718.277698, lowerbound=1318163.277698, norm of subgrad 35.258291	 stepsize= 1.000000 
-dualbound = 3867776.199080, lowerbound=1324027.199080, norm of subgrad 1151.147775	dualbound = 3867776.199080, lowerbound=1324027.199080, norm of subgrad 34.233337	 stepsize= 1.000000 
-dualbound = 3867834.494049, lowerbound=1325180.494049, norm of subgrad 1151.661189	dualbound = 3867834.494049, lowerbound=1325180.494049, norm of subgrad 34.659702	 stepsize= 1.000000 
-dualbound = 3867861.887532, lowerbound=1321434.887532, norm of subgrad 1150.028646	dualbound = 3867861.887532, lowerbound=1321434.887532, norm of subgrad 34.035180	 stepsize= 1.000000 
-dualbound = 3867946.807499, lowerbound=1321410.807499, norm of subgrad 1150.015568	dualbound = 3867946.807499, lowerbound=1321410.807499, norm of subgrad 34.783904	 stepsize= 1.000000 
-dualbound = 3867988.754967, lowerbound=1322609.754967, norm of subgrad 1150.534986	dualbound = 3867988.754967, lowerbound=1322609.754967, norm of subgrad 34.102016	 stepsize= 1.000000 
-dualbound = 3868032.928313, lowerbound=1321779.928313, norm of subgrad 1150.179085	dualbound = 3868032.928313, lowerbound=1321779.928313, norm of subgrad 34.295384	 stepsize= 1.000000 
-dualbound = 3868078.401078, lowerbound=1318893.401078, norm of subgrad 1148.933158	dualbound = 3868078.401078, lowerbound=1318893.401078, norm of subgrad 34.633405	 stepsize= 1.000000 
-dualbound = 3868121.846542, lowerbound=1319730.846542, norm of subgrad 1149.281013	dualbound = 3868121.846542, lowerbound=1319730.846542, norm of subgrad 34.050631	 stepsize= 1.000000 
-dualbound = 3868184.753699, lowerbound=1325264.753699, norm of subgrad 1151.707755	dualbound = 3868184.753699, lowerbound=1325264.753699, norm of subgrad 35.055772	 stepsize= 1.000000 
-dualbound = 3868234.029661, lowerbound=1319459.029661, norm of subgrad 1149.177110	dualbound = 3868234.029661, lowerbound=1319459.029661, norm of subgrad 34.616123	 stepsize= 1.000000 
-dualbound = 3868269.070149, lowerbound=1325634.070149, norm of subgrad 1151.862435	dualbound = 3868269.070149, lowerbound=1325634.070149, norm of subgrad 34.467963	 stepsize= 1.000000 
-dualbound = 3868332.761740, lowerbound=1312081.761740, norm of subgrad 1145.961065	dualbound = 3868332.761740, lowerbound=1312081.761740, norm of subgrad 34.766242	 stepsize= 1.000000 
-dualbound = 3868355.311141, lowerbound=1332993.311141, norm of subgrad 1155.056410	dualbound = 3868355.311141, lowerbound=1332993.311141, norm of subgrad 34.417283	 stepsize= 1.000000 
-dualbound = 3868428.261692, lowerbound=1323539.261692, norm of subgrad 1150.962320	dualbound = 3868428.261692, lowerbound=1323539.261692, norm of subgrad 35.326344	 stepsize= 1.000000 
-dualbound = 3868474.871714, lowerbound=1324551.871714, norm of subgrad 1151.384328	dualbound = 3868474.871714, lowerbound=1324551.871714, norm of subgrad 34.360006	 stepsize= 1.000000 
-dualbound = 3868540.890149, lowerbound=1316608.890149, norm of subgrad 1147.913712	dualbound = 3868540.890149, lowerbound=1316608.890149, norm of subgrad 34.103056	 stepsize= 1.000000 
-dualbound = 3868586.114670, lowerbound=1326869.114670, norm of subgrad 1152.378460	dualbound = 3868586.114670, lowerbound=1326869.114670, norm of subgrad 33.944433	 stepsize= 1.000000 
-dualbound = 3868672.210177, lowerbound=1321133.210177, norm of subgrad 1149.861822	dualbound = 3868672.210177, lowerbound=1321133.210177, norm of subgrad 33.691178	 stepsize= 1.000000 
-dualbound = 3868694.055653, lowerbound=1321865.055653, norm of subgrad 1150.203050	dualbound = 3868694.055653, lowerbound=1321865.055653, norm of subgrad 33.523805	 stepsize= 1.000000 
-dualbound = 3868752.568491, lowerbound=1321538.568491, norm of subgrad 1150.051550	dualbound = 3868752.568491, lowerbound=1321538.568491, norm of subgrad 33.741856	 stepsize= 1.000000 
-dualbound = 3868821.427312, lowerbound=1319066.427312, norm of subgrad 1148.976252	dualbound = 3868821.427312, lowerbound=1319066.427312, norm of subgrad 33.894820	 stepsize= 1.000000 
-dualbound = 3868868.343124, lowerbound=1320840.343124, norm of subgrad 1149.748817	dualbound = 3868868.343124, lowerbound=1320840.343124, norm of subgrad 33.599342	 stepsize= 1.000000 
-dualbound = 3868895.265629, lowerbound=1320798.265629, norm of subgrad 1149.747044	dualbound = 3868895.265629, lowerbound=1320798.265629, norm of subgrad 33.866244	 stepsize= 1.000000 
-dualbound = 3868937.775920, lowerbound=1319750.775920, norm of subgrad 1149.287508	dualbound = 3868937.775920, lowerbound=1319750.775920, norm of subgrad 33.963367	 stepsize= 1.000000 
-dualbound = 3869013.909060, lowerbound=1317626.909060, norm of subgrad 1148.344421	dualbound = 3869013.909060, lowerbound=1317626.909060, norm of subgrad 33.825037	 stepsize= 1.000000 
-dualbound = 3869061.442287, lowerbound=1322352.442287, norm of subgrad 1150.406208	dualbound = 3869061.442287, lowerbound=1322352.442287, norm of subgrad 33.608529	 stepsize= 1.000000 
-dualbound = 3869129.827544, lowerbound=1319188.827544, norm of subgrad 1149.047357	dualbound = 3869129.827544, lowerbound=1319188.827544, norm of subgrad 34.487465	 stepsize= 1.000000 
-dualbound = 3869149.210689, lowerbound=1320670.210689, norm of subgrad 1149.684831	dualbound = 3869149.210689, lowerbound=1320670.210689, norm of subgrad 33.531823	 stepsize= 1.000000 
-dualbound = 3869208.989861, lowerbound=1319315.989861, norm of subgrad 1149.123575	dualbound = 3869208.989861, lowerbound=1319315.989861, norm of subgrad 35.053947	 stepsize= 1.000000 
-dualbound = 3869251.082741, lowerbound=1317439.082741, norm of subgrad 1148.279619	dualbound = 3869251.082741, lowerbound=1317439.082741, norm of subgrad 33.898273	 stepsize= 1.000000 
-dualbound = 3869324.602872, lowerbound=1323821.602872, norm of subgrad 1151.076715	dualbound = 3869324.602872, lowerbound=1323821.602872, norm of subgrad 35.064514	 stepsize= 1.000000 
-dualbound = 3869369.580743, lowerbound=1318865.580743, norm of subgrad 1148.904513	dualbound = 3869369.580743, lowerbound=1318865.580743, norm of subgrad 34.073125	 stepsize= 1.000000 
-dualbound = 3869434.319229, lowerbound=1323044.319229, norm of subgrad 1150.722086	dualbound = 3869434.319229, lowerbound=1323044.319229, norm of subgrad 34.376423	 stepsize= 1.000000 
-dualbound = 3869497.704956, lowerbound=1317848.704956, norm of subgrad 1148.436635	dualbound = 3869497.704956, lowerbound=1317848.704956, norm of subgrad 33.487098	 stepsize= 1.000000 
-dualbound = 3869515.345233, lowerbound=1324273.345233, norm of subgrad 1151.277267	dualbound = 3869515.345233, lowerbound=1324273.345233, norm of subgrad 34.404074	 stepsize= 1.000000 
-dualbound = 3869536.221076, lowerbound=1321924.221076, norm of subgrad 1150.264414	dualbound = 3869536.221076, lowerbound=1321924.221076, norm of subgrad 34.711322	 stepsize= 1.000000 
-dualbound = 3869631.885669, lowerbound=1319878.885669, norm of subgrad 1149.348896	dualbound = 3869631.885669, lowerbound=1319878.885669, norm of subgrad 34.923697	 stepsize= 1.000000 
-dualbound = 3869653.727411, lowerbound=1323632.727411, norm of subgrad 1151.001619	dualbound = 3869653.727411, lowerbound=1323632.727411, norm of subgrad 34.552015	 stepsize= 1.000000 
-dualbound = 3869707.497785, lowerbound=1322613.497785, norm of subgrad 1150.562253	dualbound = 3869707.497785, lowerbound=1322613.497785, norm of subgrad 35.125068	 stepsize= 1.000000 
-dualbound = 3869741.961294, lowerbound=1322681.961294, norm of subgrad 1150.578968	dualbound = 3869741.961294, lowerbound=1322681.961294, norm of subgrad 34.416036	 stepsize= 1.000000 
-dualbound = 3869834.542182, lowerbound=1325669.542182, norm of subgrad 1151.871322	dualbound = 3869834.542182, lowerbound=1325669.542182, norm of subgrad 35.079636	 stepsize= 1.000000 
-dualbound = 3869880.017694, lowerbound=1323133.017694, norm of subgrad 1150.774964	dualbound = 3869880.017694, lowerbound=1323133.017694, norm of subgrad 34.575649	 stepsize= 1.000000 
-dualbound = 3869947.974225, lowerbound=1315939.974225, norm of subgrad 1147.640176	dualbound = 3869947.974225, lowerbound=1315939.974225, norm of subgrad 34.726885	 stepsize= 1.000000 
-dualbound = 3869984.595165, lowerbound=1321039.595165, norm of subgrad 1149.869382	dualbound = 3869984.595165, lowerbound=1321039.595165, norm of subgrad 34.592209	 stepsize= 1.000000 
-dualbound = 3870033.913271, lowerbound=1321064.913271, norm of subgrad 1149.855605	dualbound = 3870033.913271, lowerbound=1321064.913271, norm of subgrad 33.945811	 stepsize= 1.000000 
-dualbound = 3870104.451032, lowerbound=1318856.451032, norm of subgrad 1148.903151	dualbound = 3870104.451032, lowerbound=1318856.451032, norm of subgrad 34.533140	 stepsize= 1.000000 
-dualbound = 3870136.584387, lowerbound=1318043.584387, norm of subgrad 1148.571105	dualbound = 3870136.584387, lowerbound=1318043.584387, norm of subgrad 34.700625	 stepsize= 1.000000 
-dualbound = 3870186.997494, lowerbound=1321246.997494, norm of subgrad 1149.949998	dualbound = 3870186.997494, lowerbound=1321246.997494, norm of subgrad 34.473368	 stepsize= 1.000000 
-dualbound = 3870260.258748, lowerbound=1323300.258748, norm of subgrad 1150.838502	dualbound = 3870260.258748, lowerbound=1323300.258748, norm of subgrad 34.673639	 stepsize= 1.000000 
-dualbound = 3870310.868117, lowerbound=1318780.868117, norm of subgrad 1148.871998	dualbound = 3870310.868117, lowerbound=1318780.868117, norm of subgrad 34.301740	 stepsize= 1.000000 
-dualbound = 3870366.236136, lowerbound=1325581.236136, norm of subgrad 1151.832556	dualbound = 3870366.236136, lowerbound=1325581.236136, norm of subgrad 34.530682	 stepsize= 1.000000 
-dualbound = 3870414.762811, lowerbound=1319726.762811, norm of subgrad 1149.301424	dualbound = 3870414.762811, lowerbound=1319726.762811, norm of subgrad 34.864404	 stepsize= 1.000000 
-dualbound = 3870467.585116, lowerbound=1318098.585116, norm of subgrad 1148.560223	dualbound = 3870467.585116, lowerbound=1318098.585116, norm of subgrad 33.835223	 stepsize= 1.000000 
-dualbound = 3870519.317311, lowerbound=1322504.317311, norm of subgrad 1150.500029	dualbound = 3870519.317311, lowerbound=1322504.317311, norm of subgrad 34.608268	 stepsize= 1.000000 
-dualbound = 3870556.658013, lowerbound=1325941.658013, norm of subgrad 1151.945163	dualbound = 3870556.658013, lowerbound=1325941.658013, norm of subgrad 32.761879	 stepsize= 1.000000 
-dualbound = 3870644.486997, lowerbound=1318745.486997, norm of subgrad 1148.835709	dualbound = 3870644.486997, lowerbound=1318745.486997, norm of subgrad 34.144238	 stepsize= 1.000000 
-dualbound = 3870670.738008, lowerbound=1324232.738008, norm of subgrad 1151.212291	dualbound = 3870670.738008, lowerbound=1324232.738008, norm of subgrad 32.912779	 stepsize= 1.000000 
-dualbound = 3870741.507498, lowerbound=1319437.507498, norm of subgrad 1149.157738	dualbound = 3870741.507498, lowerbound=1319437.507498, norm of subgrad 34.594356	 stepsize= 1.000000 
-dualbound = 3870760.957691, lowerbound=1320182.957691, norm of subgrad 1149.484649	dualbound = 3870760.957691, lowerbound=1320182.957691, norm of subgrad 33.933025	 stepsize= 1.000000 
-dualbound = 3870829.299606, lowerbound=1317792.299606, norm of subgrad 1148.451261	dualbound = 3870829.299606, lowerbound=1317792.299606, norm of subgrad 34.876094	 stepsize= 1.000000 
-dualbound = 3870869.215601, lowerbound=1324455.215601, norm of subgrad 1151.353211	dualbound = 3870869.215601, lowerbound=1324455.215601, norm of subgrad 34.625366	 stepsize= 1.000000 
-dualbound = 3870938.078604, lowerbound=1316098.078604, norm of subgrad 1147.687274	dualbound = 3870938.078604, lowerbound=1316098.078604, norm of subgrad 34.012689	 stepsize= 1.000000 
-dualbound = 3871002.699979, lowerbound=1327096.699979, norm of subgrad 1152.452906	dualbound = 3871002.699979, lowerbound=1327096.699979, norm of subgrad 33.400919	 stepsize= 1.000000 
-dualbound = 3871062.296727, lowerbound=1319946.296727, norm of subgrad 1149.366476	dualbound = 3871062.296727, lowerbound=1319946.296727, norm of subgrad 34.008775	 stepsize= 1.000000 
-dualbound = 3871098.416692, lowerbound=1321416.416692, norm of subgrad 1150.000181	dualbound = 3871098.416692, lowerbound=1321416.416692, norm of subgrad 33.468193	 stepsize= 1.000000 
-dualbound = 3871145.463545, lowerbound=1321344.463545, norm of subgrad 1149.980636	dualbound = 3871145.463545, lowerbound=1321344.463545, norm of subgrad 34.030087	 stepsize= 1.000000 
-dualbound = 3871183.664176, lowerbound=1318345.664176, norm of subgrad 1148.696942	dualbound = 3871183.664176, lowerbound=1318345.664176, norm of subgrad 34.600587	 stepsize= 1.000000 
-dualbound = 3871248.164819, lowerbound=1316739.164819, norm of subgrad 1147.978730	dualbound = 3871248.164819, lowerbound=1316739.164819, norm of subgrad 34.358414	 stepsize= 1.000000 
-dualbound = 3871291.275772, lowerbound=1327418.275772, norm of subgrad 1152.635795	dualbound = 3871291.275772, lowerbound=1327418.275772, norm of subgrad 34.555911	 stepsize= 1.000000 
-dualbound = 3871350.221580, lowerbound=1316393.221580, norm of subgrad 1147.835451	dualbound = 3871350.221580, lowerbound=1316393.221580, norm of subgrad 34.524568	 stepsize= 1.000000 
-dualbound = 3871375.561144, lowerbound=1320009.561144, norm of subgrad 1149.446633	dualbound = 3871375.561144, lowerbound=1320009.561144, norm of subgrad 35.261020	 stepsize= 1.000000 
-dualbound = 3871440.833162, lowerbound=1322020.833162, norm of subgrad 1150.274243	dualbound = 3871440.833162, lowerbound=1322020.833162, norm of subgrad 34.282241	 stepsize= 1.000000 
-dualbound = 3871504.982035, lowerbound=1324737.982035, norm of subgrad 1151.463409	dualbound = 3871504.982035, lowerbound=1324737.982035, norm of subgrad 34.556459	 stepsize= 1.000000 
-dualbound = 3871552.966407, lowerbound=1325453.966407, norm of subgrad 1151.751695	dualbound = 3871552.966407, lowerbound=1325453.966407, norm of subgrad 33.555691	 stepsize= 1.000000 
-dualbound = 3871635.907291, lowerbound=1318852.907291, norm of subgrad 1148.862441	dualbound = 3871635.907291, lowerbound=1318852.907291, norm of subgrad 33.390730	 stepsize= 1.000000 
-dualbound = 3871648.293204, lowerbound=1321943.293204, norm of subgrad 1150.253578	dualbound = 3871648.293204, lowerbound=1321943.293204, norm of subgrad 33.946810	 stepsize= 1.000000 
-dualbound = 3871698.991460, lowerbound=1316516.991460, norm of subgrad 1147.872812	dualbound = 3871698.991460, lowerbound=1316516.991460, norm of subgrad 33.848165	 stepsize= 1.000000 
-dualbound = 3871784.977956, lowerbound=1326489.977956, norm of subgrad 1152.218720	dualbound = 3871784.977956, lowerbound=1326489.977956, norm of subgrad 34.698509	 stepsize= 1.000000 
-dualbound = 3871801.582481, lowerbound=1317396.582481, norm of subgrad 1148.263725	dualbound = 3871801.582481, lowerbound=1317396.582481, norm of subgrad 33.609590	 stepsize= 1.000000 
-dualbound = 3871872.012794, lowerbound=1324971.012794, norm of subgrad 1151.574146	dualbound = 3871872.012794, lowerbound=1324971.012794, norm of subgrad 34.963271	 stepsize= 1.000000 
-dualbound = 3871920.453543, lowerbound=1317839.453543, norm of subgrad 1148.453505	dualbound = 3871920.453543, lowerbound=1317839.453543, norm of subgrad 33.977062	 stepsize= 1.000000 
-dualbound = 3871988.104364, lowerbound=1317350.104364, norm of subgrad 1148.247841	dualbound = 3871988.104364, lowerbound=1317350.104364, norm of subgrad 34.505809	 stepsize= 1.000000 
-dualbound = 3872020.113632, lowerbound=1326979.113632, norm of subgrad 1152.456556	dualbound = 3872020.113632, lowerbound=1326979.113632, norm of subgrad 34.770811	 stepsize= 1.000000 
-dualbound = 3872064.636432, lowerbound=1320033.636432, norm of subgrad 1149.409690	dualbound = 3872064.636432, lowerbound=1320033.636432, norm of subgrad 33.963551	 stepsize= 1.000000 
-dualbound = 3872140.586063, lowerbound=1324130.586063, norm of subgrad 1151.167923	dualbound = 3872140.586063, lowerbound=1324130.586063, norm of subgrad 33.659317	 stepsize= 1.000000 
-dualbound = 3872187.025710, lowerbound=1320564.025710, norm of subgrad 1149.646479	dualbound = 3872187.025710, lowerbound=1320564.025710, norm of subgrad 34.197071	 stepsize= 1.000000 
-dualbound = 3872235.944813, lowerbound=1317798.944813, norm of subgrad 1148.434998	dualbound = 3872235.944813, lowerbound=1317798.944813, norm of subgrad 33.954662	 stepsize= 1.000000 
-dualbound = 3872277.018334, lowerbound=1322351.018334, norm of subgrad 1150.415585	dualbound = 3872277.018334, lowerbound=1322351.018334, norm of subgrad 33.853708	 stepsize= 1.000000 
-dualbound = 3872314.032880, lowerbound=1323445.032880, norm of subgrad 1150.912696	dualbound = 3872314.032880, lowerbound=1323445.032880, norm of subgrad 34.525564	 stepsize= 1.000000 
-dualbound = 3872379.908090, lowerbound=1318834.908090, norm of subgrad 1148.863747	dualbound = 3872379.908090, lowerbound=1318834.908090, norm of subgrad 33.449592	 stepsize= 1.000000 
-dualbound = 3872441.539949, lowerbound=1323820.539949, norm of subgrad 1151.055403	dualbound = 3872441.539949, lowerbound=1323820.539949, norm of subgrad 34.199881	 stepsize= 1.000000 
-dualbound = 3872484.522540, lowerbound=1316537.522540, norm of subgrad 1147.904840	dualbound = 3872484.522540, lowerbound=1316537.522540, norm of subgrad 34.510616	 stepsize= 1.000000 
-dualbound = 3872529.510040, lowerbound=1319564.510040, norm of subgrad 1149.213431	dualbound = 3872529.510040, lowerbound=1319564.510040, norm of subgrad 34.234303	 stepsize= 1.000000 
-dualbound = 3872584.044426, lowerbound=1319985.044426, norm of subgrad 1149.394208	dualbound = 3872584.044426, lowerbound=1319985.044426, norm of subgrad 34.300647	 stepsize= 1.000000 
-dualbound = 3872626.308389, lowerbound=1328031.308389, norm of subgrad 1152.899522	dualbound = 3872626.308389, lowerbound=1328031.308389, norm of subgrad 34.471205	 stepsize= 1.000000 
-dualbound = 3872697.481684, lowerbound=1316075.481684, norm of subgrad 1147.693549	dualbound = 3872697.481684, lowerbound=1316075.481684, norm of subgrad 34.585738	 stepsize= 1.000000 
-dualbound = 3872758.254884, lowerbound=1319352.254884, norm of subgrad 1149.093232	dualbound = 3872758.254884, lowerbound=1319352.254884, norm of subgrad 33.522727	 stepsize= 1.000000 
-dualbound = 3872811.676763, lowerbound=1322407.676763, norm of subgrad 1150.431518	dualbound = 3872811.676763, lowerbound=1322407.676763, norm of subgrad 33.740508	 stepsize= 1.000000 
-dualbound = 3872849.785269, lowerbound=1327178.785269, norm of subgrad 1152.515416	dualbound = 3872849.785269, lowerbound=1327178.785269, norm of subgrad 33.927990	 stepsize= 1.000000 
-dualbound = 3872919.790028, lowerbound=1313169.790028, norm of subgrad 1146.392075	dualbound = 3872919.790028, lowerbound=1313169.790028, norm of subgrad 33.391687	 stepsize= 1.000000 
-dualbound = 3872973.747181, lowerbound=1322448.747181, norm of subgrad 1150.443283	dualbound = 3872973.747181, lowerbound=1322448.747181, norm of subgrad 33.540381	 stepsize= 1.000000 
-dualbound = 3873020.443823, lowerbound=1324583.443823, norm of subgrad 1151.388485	dualbound = 3873020.443823, lowerbound=1324583.443823, norm of subgrad 34.039633	 stepsize= 1.000000 
-dualbound = 3873049.116094, lowerbound=1325488.116094, norm of subgrad 1151.795605	dualbound = 3873049.116094, lowerbound=1325488.116094, norm of subgrad 34.258901	 stepsize= 1.000000 
-dualbound = 3873117.519832, lowerbound=1324350.519832, norm of subgrad 1151.285160	dualbound = 3873117.519832, lowerbound=1324350.519832, norm of subgrad 34.284162	 stepsize= 1.000000 
-dualbound = 3873186.744834, lowerbound=1327985.744834, norm of subgrad 1152.863281	dualbound = 3873186.744834, lowerbound=1327985.744834, norm of subgrad 34.310713	 stepsize= 1.000000 
-dualbound = 3873224.385940, lowerbound=1317935.385940, norm of subgrad 1148.497447	dualbound = 3873224.385940, lowerbound=1317935.385940, norm of subgrad 33.891608	 stepsize= 1.000000 
-dualbound = 3873267.359964, lowerbound=1317630.359964, norm of subgrad 1148.377272	dualbound = 3873267.359964, lowerbound=1317630.359964, norm of subgrad 34.394389	 stepsize= 1.000000 
-dualbound = 3873331.178540, lowerbound=1319187.178540, norm of subgrad 1149.027493	dualbound = 3873331.178540, lowerbound=1319187.178540, norm of subgrad 33.776006	 stepsize= 1.000000 
-dualbound = 3873371.474604, lowerbound=1324765.474604, norm of subgrad 1151.471873	dualbound = 3873371.474604, lowerbound=1324765.474604, norm of subgrad 34.092463	 stepsize= 1.000000 
-dualbound = 3873420.380246, lowerbound=1323469.380246, norm of subgrad 1150.900682	dualbound = 3873420.380246, lowerbound=1323469.380246, norm of subgrad 33.939735	 stepsize= 1.000000 
-dualbound = 3873472.639444, lowerbound=1321236.639444, norm of subgrad 1149.962886	dualbound = 3873472.639444, lowerbound=1321236.639444, norm of subgrad 35.075051	 stepsize= 1.000000 
-dualbound = 3873520.211552, lowerbound=1319018.211552, norm of subgrad 1148.972677	dualbound = 3873520.211552, lowerbound=1319018.211552, norm of subgrad 34.169754	 stepsize= 1.000000 
-dualbound = 3873567.493729, lowerbound=1326750.493729, norm of subgrad 1152.345215	dualbound = 3873567.493729, lowerbound=1326750.493729, norm of subgrad 34.587312	 stepsize= 1.000000 
-dualbound = 3873632.831587, lowerbound=1319665.831587, norm of subgrad 1149.250117	dualbound = 3873632.831587, lowerbound=1319665.831587, norm of subgrad 34.283201	 stepsize= 1.000000 
-dualbound = 3873692.411863, lowerbound=1315672.411863, norm of subgrad 1147.498763	dualbound = 3873692.411863, lowerbound=1315672.411863, norm of subgrad 33.772478	 stepsize= 1.000000 
-dualbound = 3873759.228737, lowerbound=1324895.228737, norm of subgrad 1151.512583	dualbound = 3873759.228737, lowerbound=1324895.228737, norm of subgrad 33.953157	 stepsize= 1.000000 
-dualbound = 3873785.122638, lowerbound=1324010.122638, norm of subgrad 1151.173802	dualbound = 3873785.122638, lowerbound=1324010.122638, norm of subgrad 34.884006	 stepsize= 1.000000 
-dualbound = 3873829.654101, lowerbound=1316942.654101, norm of subgrad 1148.084777	dualbound = 3873829.654101, lowerbound=1316942.654101, norm of subgrad 34.648686	 stepsize= 1.000000 
-dualbound = 3873874.911556, lowerbound=1323134.911556, norm of subgrad 1150.776221	dualbound = 3873874.911556, lowerbound=1323134.911556, norm of subgrad 34.586955	 stepsize= 1.000000 
-dualbound = 3873942.419221, lowerbound=1322435.419221, norm of subgrad 1150.452267	dualbound = 3873942.419221, lowerbound=1322435.419221, norm of subgrad 34.241899	 stepsize= 1.000000 
-dualbound = 3873996.952966, lowerbound=1322578.952966, norm of subgrad 1150.529857	dualbound = 3873996.952966, lowerbound=1322578.952966, norm of subgrad 34.562028	 stepsize= 1.000000 
-dualbound = 3874041.180375, lowerbound=1322001.180375, norm of subgrad 1150.273959	dualbound = 3874041.180375, lowerbound=1322001.180375, norm of subgrad 34.252407	 stepsize= 1.000000 
-dualbound = 3874090.170380, lowerbound=1325750.170380, norm of subgrad 1151.889392	dualbound = 3874090.170380, lowerbound=1325750.170380, norm of subgrad 33.882001	 stepsize= 1.000000 
-dualbound = 3874158.710668, lowerbound=1315349.710668, norm of subgrad 1147.379061	dualbound = 3874158.710668, lowerbound=1315349.710668, norm of subgrad 34.605495	 stepsize= 1.000000 
-dualbound = 3874193.300872, lowerbound=1321983.300872, norm of subgrad 1150.265318	dualbound = 3874193.300872, lowerbound=1321983.300872, norm of subgrad 34.082110	 stepsize= 1.000000 
-dualbound = 3874265.120648, lowerbound=1323046.120648, norm of subgrad 1150.710702	dualbound = 3874265.120648, lowerbound=1323046.120648, norm of subgrad 34.070805	 stepsize= 1.000000 
-dualbound = 3874295.082429, lowerbound=1319545.082429, norm of subgrad 1149.211070	dualbound = 3874295.082429, lowerbound=1319545.082429, norm of subgrad 34.219319	 stepsize= 1.000000 
-dualbound = 3874342.713187, lowerbound=1317127.713187, norm of subgrad 1148.174513	dualbound = 3874342.713187, lowerbound=1317127.713187, norm of subgrad 34.994725	 stepsize= 1.000000 
-dualbound = 3874376.702112, lowerbound=1324796.702112, norm of subgrad 1151.481091	dualbound = 3874376.702112, lowerbound=1324796.702112, norm of subgrad 33.852458	 stepsize= 1.000000 
-dualbound = 3874471.271336, lowerbound=1317409.271336, norm of subgrad 1148.259235	dualbound = 3874471.271336, lowerbound=1317409.271336, norm of subgrad 34.417571	 stepsize= 1.000000 
-dualbound = 3874507.314015, lowerbound=1323583.314015, norm of subgrad 1150.961474	dualbound = 3874507.314015, lowerbound=1323583.314015, norm of subgrad 34.132722	 stepsize= 1.000000 
-dualbound = 3874554.740880, lowerbound=1324823.740880, norm of subgrad 1151.498042	dualbound = 3874554.740880, lowerbound=1324823.740880, norm of subgrad 34.226114	 stepsize= 1.000000 
-dualbound = 3874618.568851, lowerbound=1319006.568851, norm of subgrad 1148.983711	dualbound = 3874618.568851, lowerbound=1319006.568851, norm of subgrad 34.940349	 stepsize= 1.000000 
-dualbound = 3874668.632085, lowerbound=1315973.632085, norm of subgrad 1147.656147	dualbound = 3874668.632085, lowerbound=1315973.632085, norm of subgrad 34.511784	 stepsize= 1.000000 
-dualbound = 3874706.503855, lowerbound=1323314.503855, norm of subgrad 1150.845560	dualbound = 3874706.503855, lowerbound=1323314.503855, norm of subgrad 34.188767	 stepsize= 1.000000 
-dualbound = 3874752.176311, lowerbound=1320504.176311, norm of subgrad 1149.635671	dualbound = 3874752.176311, lowerbound=1320504.176311, norm of subgrad 34.693983	 stepsize= 1.000000 
-dualbound = 3874796.614324, lowerbound=1324510.614324, norm of subgrad 1151.402021	dualbound = 3874796.614324, lowerbound=1324510.614324, norm of subgrad 35.502648	 stepsize= 1.000000 
-dualbound = 3874864.531764, lowerbound=1325447.531764, norm of subgrad 1151.785367	dualbound = 3874864.531764, lowerbound=1325447.531764, norm of subgrad 35.070179	 stepsize= 1.000000 
-dualbound = 3874914.727653, lowerbound=1319481.727653, norm of subgrad 1149.190901	dualbound = 3874914.727653, lowerbound=1319481.727653, norm of subgrad 34.759112	 stepsize= 1.000000 
-dualbound = 3874987.071480, lowerbound=1321147.071480, norm of subgrad 1149.898287	dualbound = 3874987.071480, lowerbound=1321147.071480, norm of subgrad 34.515849	 stepsize= 1.000000 
-dualbound = 3875036.580616, lowerbound=1322297.580616, norm of subgrad 1150.378886	dualbound = 3875036.580616, lowerbound=1322297.580616, norm of subgrad 33.518788	 stepsize= 1.000000 
-dualbound = 3875087.061613, lowerbound=1318316.061613, norm of subgrad 1148.660116	dualbound = 3875087.061613, lowerbound=1318316.061613, norm of subgrad 33.977654	 stepsize= 1.000000 
-dualbound = 3875137.558397, lowerbound=1319577.558397, norm of subgrad 1149.238686	dualbound = 3875137.558397, lowerbound=1319577.558397, norm of subgrad 34.964221	 stepsize= 1.000000 
-dualbound = 3875168.690520, lowerbound=1324290.690520, norm of subgrad 1151.268731	dualbound = 3875168.690520, lowerbound=1324290.690520, norm of subgrad 34.060712	 stepsize= 1.000000 
-dualbound = 3875256.237011, lowerbound=1319629.237011, norm of subgrad 1149.235501	dualbound = 3875256.237011, lowerbound=1319629.237011, norm of subgrad 34.648903	 stepsize= 1.000000 
-dualbound = 3875280.569694, lowerbound=1320217.569694, norm of subgrad 1149.487525	dualbound = 3875280.569694, lowerbound=1320217.569694, norm of subgrad 33.590664	 stepsize= 1.000000 
-dualbound = 3875336.844398, lowerbound=1325048.844398, norm of subgrad 1151.607504	dualbound = 3875336.844398, lowerbound=1325048.844398, norm of subgrad 34.745859	 stepsize= 1.000000 
-dualbound = 3875390.409835, lowerbound=1319442.409835, norm of subgrad 1149.148994	dualbound = 3875390.409835, lowerbound=1319442.409835, norm of subgrad 33.978897	 stepsize= 1.000000 
-dualbound = 3875437.793779, lowerbound=1320727.793779, norm of subgrad 1149.703350	dualbound = 3875437.793779, lowerbound=1320727.793779, norm of subgrad 33.725123	 stepsize= 1.000000 
-dualbound = 3875499.860275, lowerbound=1327229.860275, norm of subgrad 1152.534104	dualbound = 3875499.860275, lowerbound=1327229.860275, norm of subgrad 34.162355	 stepsize= 1.000000 
-dualbound = 3875554.659005, lowerbound=1318470.659005, norm of subgrad 1148.749171	dualbound = 3875554.659005, lowerbound=1318470.659005, norm of subgrad 34.767783	 stepsize= 1.000000 
-dualbound = 3875602.818339, lowerbound=1322780.818339, norm of subgrad 1150.616278	dualbound = 3875602.818339, lowerbound=1322780.818339, norm of subgrad 34.426143	 stepsize= 1.000000 
-dualbound = 3875648.278891, lowerbound=1322859.278891, norm of subgrad 1150.653414	dualbound = 3875648.278891, lowerbound=1322859.278891, norm of subgrad 34.488557	 stepsize= 1.000000 
-dualbound = 3875716.291262, lowerbound=1319118.291262, norm of subgrad 1149.021014	dualbound = 3875716.291262, lowerbound=1319118.291262, norm of subgrad 34.626758	 stepsize= 1.000000 
-dualbound = 3875750.058537, lowerbound=1327319.058537, norm of subgrad 1152.604034	dualbound = 3875750.058537, lowerbound=1327319.058537, norm of subgrad 34.796081	 stepsize= 1.000000 
-dualbound = 3875787.807558, lowerbound=1320570.807558, norm of subgrad 1149.660736	dualbound = 3875787.807558, lowerbound=1320570.807558, norm of subgrad 34.449224	 stepsize= 1.000000 
-dualbound = 3875860.128231, lowerbound=1318081.128231, norm of subgrad 1148.567860	dualbound = 3875860.128231, lowerbound=1318081.128231, norm of subgrad 34.631210	 stepsize= 1.000000 
-dualbound = 3875917.045564, lowerbound=1321341.045564, norm of subgrad 1149.999585	dualbound = 3875917.045564, lowerbound=1321341.045564, norm of subgrad 34.855664	 stepsize= 1.000000 
-dualbound = 3875945.035127, lowerbound=1324704.035127, norm of subgrad 1151.430430	dualbound = 3875945.035127, lowerbound=1324704.035127, norm of subgrad 33.406430	 stepsize= 1.000000 
-dualbound = 3876036.276860, lowerbound=1317403.276860, norm of subgrad 1148.260544	dualbound = 3876036.276860, lowerbound=1317403.276860, norm of subgrad 34.499880	 stepsize= 1.000000 
-dualbound = 3876080.844828, lowerbound=1329008.844828, norm of subgrad 1153.292610	dualbound = 3876080.844828, lowerbound=1329008.844828, norm of subgrad 33.459946	 stepsize= 1.000000 
-dualbound = 3876136.113696, lowerbound=1315274.113696, norm of subgrad 1147.357884	dualbound = 3876136.113696, lowerbound=1315274.113696, norm of subgrad 34.803288	 stepsize= 1.000000 
-dualbound = 3876158.178692, lowerbound=1320813.178692, norm of subgrad 1149.758748	dualbound = 3876158.178692, lowerbound=1320813.178692, norm of subgrad 33.971532	 stepsize= 1.000000 
-dualbound = 3876226.787699, lowerbound=1319613.787699, norm of subgrad 1149.234871	dualbound = 3876226.787699, lowerbound=1319613.787699, norm of subgrad 34.577580	 stepsize= 1.000000 
-dualbound = 3876280.209756, lowerbound=1321802.209756, norm of subgrad 1150.185294	dualbound = 3876280.209756, lowerbound=1321802.209756, norm of subgrad 34.313584	 stepsize= 1.000000 
-dualbound = 3876347.367580, lowerbound=1317950.367580, norm of subgrad 1148.508323	dualbound = 3876347.367580, lowerbound=1317950.367580, norm of subgrad 34.469665	 stepsize= 1.000000 
-dualbound = 3876373.887779, lowerbound=1324774.887779, norm of subgrad 1151.488119	dualbound = 3876373.887779, lowerbound=1324774.887779, norm of subgrad 34.300440	 stepsize= 1.000000 
-dualbound = 3876447.217409, lowerbound=1322106.217409, norm of subgrad 1150.311791	dualbound = 3876447.217409, lowerbound=1322106.217409, norm of subgrad 34.414091	 stepsize= 1.000000 
-dualbound = 3876497.752259, lowerbound=1320152.752259, norm of subgrad 1149.441931	dualbound = 3876497.752259, lowerbound=1320152.752259, norm of subgrad 33.384650	 stepsize= 1.000000 
-dualbound = 3876566.188043, lowerbound=1323936.188043, norm of subgrad 1151.097384	dualbound = 3876566.188043, lowerbound=1323936.188043, norm of subgrad 34.021108	 stepsize= 1.000000 
-dualbound = 3876598.872586, lowerbound=1320106.872586, norm of subgrad 1149.448508	dualbound = 3876598.872586, lowerbound=1320106.872586, norm of subgrad 34.024764	 stepsize= 1.000000 
-dualbound = 3876653.489273, lowerbound=1320430.489273, norm of subgrad 1149.597534	dualbound = 3876653.489273, lowerbound=1320430.489273, norm of subgrad 34.621044	 stepsize= 1.000000 
-dualbound = 3876706.726751, lowerbound=1320009.726751, norm of subgrad 1149.407120	dualbound = 3876706.726751, lowerbound=1320009.726751, norm of subgrad 34.354585	 stepsize= 1.000000 
-dualbound = 3876761.827224, lowerbound=1325946.827224, norm of subgrad 1151.959560	dualbound = 3876761.827224, lowerbound=1325946.827224, norm of subgrad 33.452959	 stepsize= 1.000000 
-dualbound = 3876797.291941, lowerbound=1318963.291941, norm of subgrad 1148.953129	dualbound = 3876797.291941, lowerbound=1318963.291941, norm of subgrad 34.138903	 stepsize= 1.000000 
-dualbound = 3876849.459877, lowerbound=1323794.459877, norm of subgrad 1151.044943	dualbound = 3876849.459877, lowerbound=1323794.459877, norm of subgrad 34.090584	 stepsize= 1.000000 
-dualbound = 3876904.703816, lowerbound=1322217.703816, norm of subgrad 1150.335474	dualbound = 3876904.703816, lowerbound=1322217.703816, norm of subgrad 33.305314	 stepsize= 1.000000 
-dualbound = 3876986.059718, lowerbound=1323374.059718, norm of subgrad 1150.843630	dualbound = 3876986.059718, lowerbound=1323374.059718, norm of subgrad 33.887400	 stepsize= 1.000000 
-dualbound = 3876986.196587, lowerbound=1328992.196587, norm of subgrad 1153.298832	dualbound = 3876986.196587, lowerbound=1328992.196587, norm of subgrad 33.258636	 stepsize= 1.000000 
-dualbound = 3877048.635084, lowerbound=1317341.635084, norm of subgrad 1148.247637	dualbound = 3877048.635084, lowerbound=1317341.635084, norm of subgrad 34.546179	 stepsize= 1.000000 
-dualbound = 3877072.676915, lowerbound=1318662.676915, norm of subgrad 1148.851895	dualbound = 3877072.676915, lowerbound=1318662.676915, norm of subgrad 34.957715	 stepsize= 1.000000 
-dualbound = 3877137.510571, lowerbound=1321978.510571, norm of subgrad 1150.262801	dualbound = 3877137.510571, lowerbound=1321978.510571, norm of subgrad 34.508458	 stepsize= 1.000000 
-dualbound = 3877216.732482, lowerbound=1317515.732483, norm of subgrad 1148.346086	dualbound = 3877216.732482, lowerbound=1317515.732483, norm of subgrad 35.527763	 stepsize= 1.000000 
-dualbound = 3877237.921608, lowerbound=1319350.921608, norm of subgrad 1149.119629	dualbound = 3877237.921608, lowerbound=1319350.921608, norm of subgrad 33.855415	 stepsize= 1.000000 
-dualbound = 3877307.432544, lowerbound=1327318.432544, norm of subgrad 1152.562550	dualbound = 3877307.432544, lowerbound=1327318.432544, norm of subgrad 33.933920	 stepsize= 1.000000 
-dualbound = 3877382.848815, lowerbound=1320487.848815, norm of subgrad 1149.583772	dualbound = 3877382.848815, lowerbound=1320487.848815, norm of subgrad 33.621664	 stepsize= 1.000000 
-dualbound = 3877432.756882, lowerbound=1315864.756882, norm of subgrad 1147.575600	dualbound = 3877432.756882, lowerbound=1315864.756882, norm of subgrad 33.390239	 stepsize= 1.000000 
-dualbound = 3877470.541609, lowerbound=1321567.541609, norm of subgrad 1150.068060	dualbound = 3877470.541609, lowerbound=1321567.541609, norm of subgrad 33.567614	 stepsize= 1.000000 
-dualbound = 3877502.019282, lowerbound=1321974.019282, norm of subgrad 1150.267369	dualbound = 3877502.019282, lowerbound=1321974.019282, norm of subgrad 34.241461	 stepsize= 1.000000 
-dualbound = 3877570.703390, lowerbound=1317092.703390, norm of subgrad 1148.147509	dualbound = 3877570.703390, lowerbound=1317092.703390, norm of subgrad 34.909656	 stepsize= 1.000000 
-dualbound = 3877588.424839, lowerbound=1321870.424839, norm of subgrad 1150.247549	dualbound = 3877588.424839, lowerbound=1321870.424839, norm of subgrad 34.881535	 stepsize= 1.000000 
-dualbound = 3877674.142734, lowerbound=1321507.142734, norm of subgrad 1150.052670	dualbound = 3877674.142734, lowerbound=1321507.142734, norm of subgrad 34.636944	 stepsize= 1.000000 
-dualbound = 3877712.950385, lowerbound=1322116.950385, norm of subgrad 1150.323411	dualbound = 3877712.950385, lowerbound=1322116.950385, norm of subgrad 34.143926	 stepsize= 1.000000 
-dualbound = 3877780.463355, lowerbound=1325021.463355, norm of subgrad 1151.576512	dualbound = 3877780.463355, lowerbound=1325021.463355, norm of subgrad 34.271168	 stepsize= 1.000000 
-dualbound = 3877828.299382, lowerbound=1322856.299382, norm of subgrad 1150.634738	dualbound = 3877828.299382, lowerbound=1322856.299382, norm of subgrad 33.938710	 stepsize= 1.000000 
-dualbound = 3877898.363339, lowerbound=1319573.363339, norm of subgrad 1149.229465	dualbound = 3877898.363339, lowerbound=1319573.363339, norm of subgrad 35.000914	 stepsize= 1.000000 
-dualbound = 3877933.481976, lowerbound=1321444.481976, norm of subgrad 1150.019775	dualbound = 3877933.481976, lowerbound=1321444.481976, norm of subgrad 33.706359	 stepsize= 1.000000 
-dualbound = 3878000.593136, lowerbound=1327208.593136, norm of subgrad 1152.544400	dualbound = 3878000.593136, lowerbound=1327208.593136, norm of subgrad 34.887120	 stepsize= 1.000000 
-dualbound = 3878014.051619, lowerbound=1319069.051619, norm of subgrad 1149.001328	dualbound = 3878014.051619, lowerbound=1319069.051619, norm of subgrad 33.888914	 stepsize= 1.000000 
-dualbound = 3878104.075148, lowerbound=1322874.075148, norm of subgrad 1150.637247	dualbound = 3878104.075148, lowerbound=1322874.075148, norm of subgrad 34.380569	 stepsize= 1.000000 
-dualbound = 3878140.723862, lowerbound=1325597.723862, norm of subgrad 1151.853169	dualbound = 3878140.723862, lowerbound=1325597.723862, norm of subgrad 34.708050	 stepsize= 1.000000 
-dualbound = 3878178.145152, lowerbound=1317996.145152, norm of subgrad 1148.551760	dualbound = 3878178.145152, lowerbound=1317996.145152, norm of subgrad 34.819840	 stepsize= 1.000000 
-dualbound = 3878235.382261, lowerbound=1327272.382261, norm of subgrad 1152.540838	dualbound = 3878235.382261, lowerbound=1327272.382261, norm of subgrad 33.693280	 stepsize= 1.000000 
-dualbound = 3878300.534936, lowerbound=1318216.534936, norm of subgrad 1148.613310	dualbound = 3878300.534936, lowerbound=1318216.534936, norm of subgrad 34.075690	 stepsize= 1.000000 
-dualbound = 3878350.094877, lowerbound=1320090.094877, norm of subgrad 1149.438600	dualbound = 3878350.094877, lowerbound=1320090.094877, norm of subgrad 34.184206	 stepsize= 1.000000 
-dualbound = 3878403.573531, lowerbound=1323630.573531, norm of subgrad 1150.983307	dualbound = 3878403.573531, lowerbound=1323630.573531, norm of subgrad 34.430781	 stepsize= 1.000000 
-dualbound = 3878447.903206, lowerbound=1320658.903206, norm of subgrad 1149.688611	dualbound = 3878447.903206, lowerbound=1320658.903206, norm of subgrad 34.195463	 stepsize= 1.000000 
-dualbound = 3878497.188440, lowerbound=1321917.188440, norm of subgrad 1150.235275	dualbound = 3878497.188440, lowerbound=1321917.188440, norm of subgrad 34.253251	 stepsize= 1.000000 
-dualbound = 3878555.390787, lowerbound=1325573.390787, norm of subgrad 1151.815693	dualbound = 3878555.390787, lowerbound=1325573.390787, norm of subgrad 34.120410	 stepsize= 1.000000 
-dualbound = 3878604.926743, lowerbound=1322786.926743, norm of subgrad 1150.649350	dualbound = 3878604.926743, lowerbound=1322786.926743, norm of subgrad 35.447651	 stepsize= 1.000000 
-dualbound = 3878625.488344, lowerbound=1319870.488344, norm of subgrad 1149.367865	dualbound = 3878625.488344, lowerbound=1319870.488344, norm of subgrad 34.591352	 stepsize= 1.000000 
-dualbound = 3878715.484032, lowerbound=1325306.484032, norm of subgrad 1151.699824	dualbound = 3878715.484032, lowerbound=1325306.484032, norm of subgrad 34.583171	 stepsize= 1.000000 
-dualbound = 3878775.451570, lowerbound=1322548.451570, norm of subgrad 1150.494872	dualbound = 3878775.451570, lowerbound=1322548.451570, norm of subgrad 33.911171	 stepsize= 1.000000 
-dualbound = 3878832.168603, lowerbound=1320392.168603, norm of subgrad 1149.531717	dualbound = 3878832.168603, lowerbound=1320392.168603, norm of subgrad 32.980555	 stepsize= 1.000000 
-dualbound = 3878882.208094, lowerbound=1320942.208094, norm of subgrad 1149.790941	dualbound = 3878882.208094, lowerbound=1320942.208094, norm of subgrad 33.571409	 stepsize= 1.000000 
-dualbound = 3878931.079888, lowerbound=1321372.079888, norm of subgrad 1149.984382	dualbound = 3878931.079888, lowerbound=1321372.079888, norm of subgrad 33.776794	 stepsize= 1.000000 
-dualbound = 3878962.395556, lowerbound=1321502.395556, norm of subgrad 1150.051475	dualbound = 3878962.395556, lowerbound=1321502.395556, norm of subgrad 33.872048	 stepsize= 1.000000 
-dualbound = 3879042.651577, lowerbound=1324706.651577, norm of subgrad 1151.448501	dualbound = 3879042.651577, lowerbound=1324706.651577, norm of subgrad 34.745590	 stepsize= 1.000000 
-dualbound = 3879051.573761, lowerbound=1322744.573761, norm of subgrad 1150.600962	dualbound = 3879051.573761, lowerbound=1322744.573761, norm of subgrad 33.866240	 stepsize= 1.000000 
-dualbound = 3879122.306569, lowerbound=1321786.306569, norm of subgrad 1150.203159	dualbound = 3879122.306569, lowerbound=1321786.306569, norm of subgrad 35.379836	 stepsize= 1.000000 
-dualbound = 3879162.644217, lowerbound=1326085.644217, norm of subgrad 1152.047154	dualbound = 3879162.644217, lowerbound=1326085.644217, norm of subgrad 34.166323	 stepsize= 1.000000 
-dualbound = 3879242.575284, lowerbound=1325806.575284, norm of subgrad 1151.896512	dualbound = 3879242.575284, lowerbound=1325806.575284, norm of subgrad 33.748053	 stepsize= 1.000000 
-dualbound = 3879278.776051, lowerbound=1316756.776051, norm of subgrad 1147.987707	dualbound = 3879278.776051, lowerbound=1316756.776051, norm of subgrad 33.988245	 stepsize= 1.000000 
-dualbound = 3879328.605160, lowerbound=1325458.605160, norm of subgrad 1151.772810	dualbound = 3879328.605160, lowerbound=1325458.605160, norm of subgrad 34.231990	 stepsize= 1.000000 
-dualbound = 3879372.152775, lowerbound=1323655.152775, norm of subgrad 1150.970526	dualbound = 3879372.152775, lowerbound=1323655.152775, norm of subgrad 33.489515	 stepsize= 1.000000 
-dualbound = 3879456.078501, lowerbound=1321958.078501, norm of subgrad 1150.256527	dualbound = 3879456.078501, lowerbound=1321958.078501, norm of subgrad 34.870127	 stepsize= 1.000000 
-dualbound = 3879443.478676, lowerbound=1322658.478676, norm of subgrad 1150.555291	
\ No newline at end of file
+dualbound = 969553.451655, lowerbound=969553.451655, norm of subgrad 985.933290	dualbound = 969553.451655, lowerbound=969553.451655, norm of subgrad 985.933290	 stepsize= 103.981990 
+dualbound = 1056675.029714, lowerbound=1012482.684026, norm of subgrad 1008.279071	dualbound = 1056675.029714, lowerbound=1012482.684026, norm of subgrad 302.101933	 stepsize= 103.981990 
+dualbound = 1099526.591326, lowerbound=1013221.539748, norm of subgrad 1008.692490	dualbound = 1099526.591326, lowerbound=1013221.539748, norm of subgrad 217.003598	 stepsize= 103.981990 
+dualbound = 1180582.277603, lowerbound=1039998.627322, norm of subgrad 1021.959699	dualbound = 1180582.277603, lowerbound=1039998.627322, norm of subgrad 292.333177	 stepsize= 103.981990 
+dualbound = 1236696.772952, lowerbound=1042042.487947, norm of subgrad 1022.985087	dualbound = 1236696.772952, lowerbound=1042042.487947, norm of subgrad 246.110738	 stepsize= 103.981990 
+dualbound = 1293965.878167, lowerbound=1055327.211455, norm of subgrad 1029.543691	dualbound = 1293965.878167, lowerbound=1055327.211455, norm of subgrad 248.801337	 stepsize= 103.981990 
+dualbound = 1350193.662867, lowerbound=1059875.947198, norm of subgrad 1031.823118	dualbound = 1350193.662867, lowerbound=1059875.947198, norm of subgrad 247.003613	 stepsize= 103.981990 
+dualbound = 1397304.523215, lowerbound=1069241.345229, norm of subgrad 1036.322028	dualbound = 1397304.523215, lowerbound=1069241.345229, norm of subgrad 227.668312	 stepsize= 103.981990 
+dualbound = 1453666.300486, lowerbound=1073820.091554, norm of subgrad 1038.526404	dualbound = 1453666.300486, lowerbound=1073820.091554, norm of subgrad 247.141209	 stepsize= 103.981990 
+dualbound = 1492357.655141, lowerbound=1076741.641699, norm of subgrad 1039.950788	dualbound = 1492357.655141, lowerbound=1076741.641699, norm of subgrad 208.440290	 stepsize= 103.981990 
+dualbound = 1538306.066344, lowerbound=1077457.887316, norm of subgrad 1040.261932	dualbound = 1538306.066344, lowerbound=1077457.887316, norm of subgrad 225.023135	 stepsize= 103.981990 
+dualbound = 1582307.871434, lowerbound=1090992.969379, norm of subgrad 1046.844769	dualbound = 1582307.871434, lowerbound=1090992.969379, norm of subgrad 221.117175	 stepsize= 103.981990 
+dualbound = 1615226.683639, lowerbound=1089493.742943, norm of subgrad 1046.172903	dualbound = 1615226.683639, lowerbound=1089493.742943, norm of subgrad 194.686446	 stepsize= 103.981990 
+dualbound = 1660093.124562, lowerbound=1097342.595478, norm of subgrad 1049.752159	dualbound = 1660093.124562, lowerbound=1097342.595478, norm of subgrad 222.493687	 stepsize= 103.981990 
+dualbound = 1698052.793029, lowerbound=1103171.829081, norm of subgrad 1052.601458	dualbound = 1698052.793029, lowerbound=1103171.829081, norm of subgrad 206.779275	 stepsize= 103.981990 
+dualbound = 1730558.084620, lowerbound=1106042.253564, norm of subgrad 1054.064160	dualbound = 1730558.084620, lowerbound=1106042.253564, norm of subgrad 193.686065	 stepsize= 103.981990 
+dualbound = 1764390.573212, lowerbound=1102857.153768, norm of subgrad 1052.463374	dualbound = 1764390.573212, lowerbound=1102857.153768, norm of subgrad 196.607448	 stepsize= 103.981990 
+dualbound = 1802340.596285, lowerbound=1111484.255703, norm of subgrad 1056.557266	dualbound = 1802340.596285, lowerbound=1111484.255703, norm of subgrad 206.830905	 stepsize= 103.981990 
+dualbound = 1841805.354416, lowerbound=1115803.101263, norm of subgrad 1058.606207	dualbound = 1841805.354416, lowerbound=1115803.101263, norm of subgrad 210.496456	 stepsize= 103.981990 
+dualbound = 1868634.989611, lowerbound=1120692.536599, norm of subgrad 1060.946057	dualbound = 1868634.989611, lowerbound=1120692.536599, norm of subgrad 178.167436	 stepsize= 103.981990 
+dualbound = 1899391.709825, lowerbound=1124933.849401, norm of subgrad 1063.071423	dualbound = 1899391.709825, lowerbound=1124933.849401, norm of subgrad 189.588291	 stepsize= 103.981990 
+dualbound = 1931052.258468, lowerbound=1115313.548073, norm of subgrad 1058.440621	dualbound = 1931052.258468, lowerbound=1115313.548073, norm of subgrad 191.425047	 stepsize= 103.981990 
+dualbound = 1962932.467592, lowerbound=1130244.692851, norm of subgrad 1065.463605	dualbound = 1962932.467592, lowerbound=1130244.692851, norm of subgrad 191.958874	 stepsize= 103.981990 
+dualbound = 1990901.124767, lowerbound=1132529.798532, norm of subgrad 1066.546201	dualbound = 1990901.124767, lowerbound=1132529.798532, norm of subgrad 181.547947	 stepsize= 103.981990 
+dualbound = 2022268.272581, lowerbound=1145180.188172, norm of subgrad 1072.437498	dualbound = 2022268.272581, lowerbound=1145180.188172, norm of subgrad 190.549594	 stepsize= 103.981990 
+dualbound = 2044970.669237, lowerbound=1134504.366086, norm of subgrad 1067.452278	dualbound = 2044970.669237, lowerbound=1134504.366086, norm of subgrad 166.290098	 stepsize= 103.981990 
+dualbound = 2083731.169884, lowerbound=1136247.278345, norm of subgrad 1068.361024	dualbound = 2083731.169884, lowerbound=1136247.278345, norm of subgrad 209.543553	 stepsize= 103.981990 
+dualbound = 2110028.667851, lowerbound=1144867.838037, norm of subgrad 1072.306317	dualbound = 2110028.667851, lowerbound=1144867.838037, norm of subgrad 176.834663	 stepsize= 103.981990 
+dualbound = 2131640.258297, lowerbound=1145475.066533, norm of subgrad 1072.665869	dualbound = 2131640.258297, lowerbound=1145475.066533, norm of subgrad 163.549963	 stepsize= 103.981990 
+dualbound = 2157830.515887, lowerbound=1149517.160285, norm of subgrad 1074.674909	dualbound = 2157830.515887, lowerbound=1149517.160285, norm of subgrad 177.761800	 stepsize= 103.981990 
+dualbound = 2183420.498239, lowerbound=1153478.888747, norm of subgrad 1076.305667	dualbound = 2183420.498239, lowerbound=1153478.888747, norm of subgrad 174.771229	 stepsize= 103.981990 
+dualbound = 2213544.806508, lowerbound=1164782.456853, norm of subgrad 1081.502870	dualbound = 2213544.806508, lowerbound=1164782.456853, norm of subgrad 187.056965	 stepsize= 103.981990 
+dualbound = 2239129.230756, lowerbound=1153349.292713, norm of subgrad 1076.339302	dualbound = 2239129.230756, lowerbound=1153349.292713, norm of subgrad 175.332325	 stepsize= 103.981990 
+dualbound = 2264718.499224, lowerbound=1163237.280714, norm of subgrad 1080.871538	dualbound = 2264718.499224, lowerbound=1163237.280714, norm of subgrad 175.029336	 stepsize= 103.981990 
+dualbound = 2284282.086396, lowerbound=1162940.307824, norm of subgrad 1080.688349	dualbound = 2284282.086396, lowerbound=1162940.307824, norm of subgrad 156.558574	 stepsize= 103.981990 
+dualbound = 2309504.902193, lowerbound=1168510.527538, norm of subgrad 1083.371371	dualbound = 2309504.902193, lowerbound=1168510.527538, norm of subgrad 174.372635	 stepsize= 103.981990 
+dualbound = 2328270.377816, lowerbound=1174382.236420, norm of subgrad 1086.124871	dualbound = 2328270.377816, lowerbound=1174382.236420, norm of subgrad 155.082158	 stepsize= 103.981990 
+dualbound = 2353191.903605, lowerbound=1173308.264746, norm of subgrad 1085.443349	dualbound = 2353191.903605, lowerbound=1173308.264746, norm of subgrad 172.628288	 stepsize= 103.981990 
+dualbound = 2375146.204696, lowerbound=1171346.708170, norm of subgrad 1084.696136	dualbound = 2375146.204696, lowerbound=1171346.708170, norm of subgrad 164.843262	 stepsize= 103.981990 
+dualbound = 2397301.314017, lowerbound=1164906.770282, norm of subgrad 1081.688389	dualbound = 2397301.314017, lowerbound=1164906.770282, norm of subgrad 165.221395	 stepsize= 103.981990 
+dualbound = 2416735.919146, lowerbound=1179870.149847, norm of subgrad 1088.704345	dualbound = 2416735.919146, lowerbound=1179870.149847, norm of subgrad 157.612199	 stepsize= 103.981990 
+dualbound = 2438372.235827, lowerbound=1182997.672334, norm of subgrad 1090.068196	dualbound = 2438372.235827, lowerbound=1182997.672334, norm of subgrad 163.973524	 stepsize= 103.981990 
+dualbound = 2456062.727588, lowerbound=1182491.315871, norm of subgrad 1089.835454	dualbound = 2456062.727588, lowerbound=1182491.315871, norm of subgrad 151.461189	 stepsize= 103.981990 
+dualbound = 2474880.840549, lowerbound=1181760.814740, norm of subgrad 1089.506225	dualbound = 2474880.840549, lowerbound=1181760.814740, norm of subgrad 155.180904	 stepsize= 103.981990 
+dualbound = 2497956.459754, lowerbound=1186951.531690, norm of subgrad 1091.942092	dualbound = 2497956.459754, lowerbound=1186951.531690, norm of subgrad 168.705718	 stepsize= 103.981990 
+dualbound = 2521920.967194, lowerbound=1194070.956774, norm of subgrad 1095.110477	dualbound = 2521920.967194, lowerbound=1194070.956774, norm of subgrad 170.764479	 stepsize= 103.981990 
+dualbound = 2541368.067765, lowerbound=1193449.533303, norm of subgrad 1094.860509	dualbound = 2541368.067765, lowerbound=1193449.533303, norm of subgrad 157.216731	 stepsize= 103.981990 
+dualbound = 2565037.339550, lowerbound=1197466.209006, norm of subgrad 1096.651362	dualbound = 2565037.339550, lowerbound=1197466.209006, norm of subgrad 169.844846	 stepsize= 103.981990 
+dualbound = 2581817.988239, lowerbound=1199481.415136, norm of subgrad 1097.649951	dualbound = 2581817.988239, lowerbound=1199481.415136, norm of subgrad 148.777178	 stepsize= 103.981990 
+dualbound = 2597218.719193, lowerbound=1199804.757561, norm of subgrad 1097.813171	dualbound = 2597218.719193, lowerbound=1199804.757561, norm of subgrad 144.186445	 stepsize= 103.981990 
+dualbound = 2614277.684857, lowerbound=1199810.676889, norm of subgrad 1097.766221	dualbound = 2614277.684857, lowerbound=1199810.676889, norm of subgrad 149.462255	 stepsize= 103.981990 
+dualbound = 2640368.246519, lowerbound=1209264.120175, norm of subgrad 1102.024555	dualbound = 2640368.246519, lowerbound=1209264.120175, norm of subgrad 176.874423	 stepsize= 103.981990 
+dualbound = 2661005.242853, lowerbound=1202033.943229, norm of subgrad 1098.675085	dualbound = 2661005.242853, lowerbound=1202033.943229, norm of subgrad 160.280992	 stepsize= 103.981990 
+dualbound = 2679129.388466, lowerbound=1201129.384699, norm of subgrad 1098.364413	dualbound = 2679129.388466, lowerbound=1201129.384699, norm of subgrad 152.967793	 stepsize= 103.981990 
+dualbound = 2692240.522569, lowerbound=1214760.428751, norm of subgrad 1104.577941	dualbound = 2692240.522569, lowerbound=1214760.428751, norm of subgrad 135.805501	 stepsize= 103.981990 
+dualbound = 2712293.759841, lowerbound=1205802.690853, norm of subgrad 1100.439317	dualbound = 2712293.759841, lowerbound=1205802.690853, norm of subgrad 158.799362	 stepsize= 103.981990 
+dualbound = 2727985.108099, lowerbound=1216398.921609, norm of subgrad 1105.298567	dualbound = 2727985.108099, lowerbound=1216398.921609, norm of subgrad 144.835590	 stepsize= 103.981990 
+dualbound = 2752661.405704, lowerbound=1212272.208025, norm of subgrad 1103.483669	dualbound = 2752661.405704, lowerbound=1212272.208025, norm of subgrad 173.436725	 stepsize= 103.981990 
+dualbound = 2764473.783653, lowerbound=1213686.386988, norm of subgrad 1103.989306	dualbound = 2764473.783653, lowerbound=1213686.386988, norm of subgrad 130.070665	 stepsize= 103.981990 
+dualbound = 2779200.920108, lowerbound=1209488.801290, norm of subgrad 1102.169588	dualbound = 2779200.920108, lowerbound=1209488.801290, norm of subgrad 141.478396	 stepsize= 103.981990 
+dualbound = 2802627.477564, lowerbound=1219605.664045, norm of subgrad 1106.752757	dualbound = 2802627.477564, lowerbound=1219605.664045, norm of subgrad 169.477307	 stepsize= 103.981990 
+dualbound = 2808512.257533, lowerbound=1226634.245902, norm of subgrad 1109.925784	dualbound = 2808512.257533, lowerbound=1226634.245902, norm of subgrad 105.762848	 stepsize= 103.981990 
+dualbound = 2828426.586313, lowerbound=1222632.717017, norm of subgrad 1108.078841	dualbound = 2828426.586313, lowerbound=1222632.717017, norm of subgrad 158.493939	 stepsize= 103.981990 
+dualbound = 2839272.436127, lowerbound=1229943.179175, norm of subgrad 1111.437888	dualbound = 2839272.436127, lowerbound=1229943.179175, norm of subgrad 127.266845	 stepsize= 103.981990 
+dualbound = 2854175.483225, lowerbound=1224361.774272, norm of subgrad 1108.904763	dualbound = 2854175.483225, lowerbound=1224361.774272, norm of subgrad 142.165562	 stepsize= 103.981990 
+dualbound = 2867648.338206, lowerbound=1222653.258735, norm of subgrad 1108.150829	dualbound = 2867648.338206, lowerbound=1222653.258735, norm of subgrad 137.178187	 stepsize= 103.981990 
+dualbound = 2889483.132794, lowerbound=1226499.169079, norm of subgrad 1109.897819	dualbound = 2889483.132794, lowerbound=1226499.169079, norm of subgrad 164.950885	 stepsize= 103.981990 
+dualbound = 2909411.735004, lowerbound=1226879.157196, norm of subgrad 1109.995566	dualbound = 2909411.735004, lowerbound=1226879.157196, norm of subgrad 158.554729	 stepsize= 103.981990 
+dualbound = 2922485.727472, lowerbound=1231738.572466, norm of subgrad 1112.256523	dualbound = 2922485.727472, lowerbound=1231738.572466, norm of subgrad 135.830749	 stepsize= 103.981990 
+dualbound = 2944068.578480, lowerbound=1231069.277645, norm of subgrad 1111.986186	dualbound = 2944068.578480, lowerbound=1231069.277645, norm of subgrad 164.398452	 stepsize= 103.981990 
+dualbound = 2954006.876332, lowerbound=1232792.998299, norm of subgrad 1112.747050	dualbound = 2954006.876332, lowerbound=1232792.998299, norm of subgrad 123.900355	 stepsize= 103.981990 
+dualbound = 2963512.045553, lowerbound=1227636.706951, norm of subgrad 1110.442122	dualbound = 2963512.045553, lowerbound=1227636.706951, norm of subgrad 122.270885	 stepsize= 103.981990 
+dualbound = 2982438.985260, lowerbound=1232630.060017, norm of subgrad 1112.548902	dualbound = 2982438.985260, lowerbound=1232630.060017, norm of subgrad 155.119115	 stepsize= 103.981990 
+dualbound = 3002569.094607, lowerbound=1248184.961811, norm of subgrad 1119.617775	dualbound = 3002569.094607, lowerbound=1248184.961811, norm of subgrad 159.653091	 stepsize= 103.981990 
+dualbound = 3014939.361066, lowerbound=1235495.568715, norm of subgrad 1114.024492	dualbound = 3014939.361066, lowerbound=1235495.568715, norm of subgrad 133.885273	 stepsize= 103.981990 
+dualbound = 3026480.621674, lowerbound=1233103.242682, norm of subgrad 1112.859938	dualbound = 3026480.621674, lowerbound=1233103.242682, norm of subgrad 129.981770	 stepsize= 103.981990 
+dualbound = 3033077.381509, lowerbound=1247082.723798, norm of subgrad 1119.120514	dualbound = 3033077.381509, lowerbound=1247082.723798, norm of subgrad 109.292085	 stepsize= 103.981990 
+dualbound = 3052765.187038, lowerbound=1242334.761711, norm of subgrad 1117.070616	dualbound = 3052765.187038, lowerbound=1242334.761711, norm of subgrad 158.744466	 stepsize= 103.981990 
+dualbound = 3062764.094859, lowerbound=1255245.165248, norm of subgrad 1122.758730	dualbound = 3062764.094859, lowerbound=1255245.165248, norm of subgrad 123.858418	 stepsize= 103.981990 
+dualbound = 3083182.482851, lowerbound=1238022.072913, norm of subgrad 1114.940838	dualbound = 3083182.482851, lowerbound=1238022.072913, norm of subgrad 159.653963	 stepsize= 103.981990 
+dualbound = 3099539.765779, lowerbound=1247516.544511, norm of subgrad 1119.346481	dualbound = 3099539.765779, lowerbound=1247516.544511, norm of subgrad 147.571281	 stepsize= 103.981990 
+dualbound = 3114896.786729, lowerbound=1251331.564588, norm of subgrad 1120.986871	dualbound = 3114896.786729, lowerbound=1251331.564588, norm of subgrad 143.655912	 stepsize= 103.981990 
+dualbound = 3125367.240893, lowerbound=1245268.882364, norm of subgrad 1118.315645	dualbound = 3125367.240893, lowerbound=1245268.882364, norm of subgrad 125.823107	 stepsize= 103.981990 
+dualbound = 3131904.778971, lowerbound=1268443.538819, norm of subgrad 1128.712337	dualbound = 3131904.778971, lowerbound=1268443.538819, norm of subgrad 109.934244	 stepsize= 103.981990 
+dualbound = 3148699.949156, lowerbound=1250716.688373, norm of subgrad 1120.789315	dualbound = 3148699.949156, lowerbound=1250716.688373, norm of subgrad 149.154853	 stepsize= 103.981990 
+dualbound = 3163478.636483, lowerbound=1246986.581506, norm of subgrad 1119.058346	dualbound = 3163478.636483, lowerbound=1246986.581506, norm of subgrad 141.716927	 stepsize= 103.981990 
+dualbound = 3173343.924176, lowerbound=1263922.644509, norm of subgrad 1126.549885	dualbound = 3173343.924176, lowerbound=1263922.644509, norm of subgrad 122.708140	 stepsize= 103.981990 
+dualbound = 3183910.147192, lowerbound=1258787.587058, norm of subgrad 1124.404548	dualbound = 3183910.147192, lowerbound=1258787.587058, norm of subgrad 126.744716	 stepsize= 103.981990 
+dualbound = 3192739.946017, lowerbound=1249836.465617, norm of subgrad 1120.285886	dualbound = 3192739.946017, lowerbound=1249836.465617, norm of subgrad 118.464336	 stepsize= 103.981990 
+dualbound = 3215917.937956, lowerbound=1268751.195972, norm of subgrad 1128.722816	dualbound = 3215917.937956, lowerbound=1268751.195972, norm of subgrad 168.647538	 stepsize= 103.981990 
+dualbound = 3233229.842055, lowerbound=1252268.953370, norm of subgrad 1121.373244	dualbound = 3233229.842055, lowerbound=1252268.953370, norm of subgrad 150.069664	 stepsize= 103.981990 
+dualbound = 3238084.236607, lowerbound=1253899.906236, norm of subgrad 1122.097993	dualbound = 3238084.236607, lowerbound=1253899.906236, norm of subgrad 100.291548	 stepsize= 103.981990 
+dualbound = 3250443.052750, lowerbound=1260747.676917, norm of subgrad 1125.263381	dualbound = 3250443.052750, lowerbound=1260747.676917, norm of subgrad 133.524590	 stepsize= 103.981990 
+dualbound = 3260870.895165, lowerbound=1281573.718317, norm of subgrad 1134.640348	dualbound = 3260870.895165, lowerbound=1281573.718317, norm of subgrad 127.525850	 stepsize= 103.981990 
+dualbound = 3266314.930402, lowerbound=1266741.265532, norm of subgrad 1127.795755	dualbound = 3266314.930402, lowerbound=1266741.265532, norm of subgrad 103.082662	 stepsize= 103.981990 
+dualbound = 3283963.218835, lowerbound=1267440.489620, norm of subgrad 1128.146484	dualbound = 3283963.218835, lowerbound=1267440.489620, norm of subgrad 151.401085	 stepsize= 103.981990 
+dualbound = 3298912.980821, lowerbound=1266377.025169, norm of subgrad 1127.694562	dualbound = 3298912.980821, lowerbound=1266377.025169, norm of subgrad 142.364890	 stepsize= 103.981990 
+dualbound = 3310906.993579, lowerbound=1272132.118536, norm of subgrad 1130.242062	dualbound = 3310906.993579, lowerbound=1272132.118536, norm of subgrad 131.563721	 stepsize= 103.981990 
+dualbound = 3322025.651551, lowerbound=1277843.713035, norm of subgrad 1132.835254	dualbound = 3322025.651551, lowerbound=1277843.713035, norm of subgrad 128.804728	 stepsize= 103.981990 
+dualbound = 3331337.487226, lowerbound=1271870.196202, norm of subgrad 1130.189009	dualbound = 3331337.487226, lowerbound=1271870.196202, norm of subgrad 121.527099	 stepsize= 103.981990 
+dualbound = 3334931.770459, lowerbound=1269953.433973, norm of subgrad 1129.304403	dualbound = 3334931.770459, lowerbound=1269953.433973, norm of subgrad 94.706300	 stepsize= 103.981990 
+dualbound = 3350530.440374, lowerbound=1267459.237653, norm of subgrad 1128.273122	dualbound = 3350530.440374, lowerbound=1267459.237653, norm of subgrad 145.394876	 stepsize= 103.981990 
+dualbound = 3362477.052590, lowerbound=1280861.597726, norm of subgrad 1134.141789	dualbound = 3362477.052590, lowerbound=1280861.597726, norm of subgrad 131.767265	 stepsize= 103.981990 
+dualbound = 3374821.183745, lowerbound=1268769.961266, norm of subgrad 1128.839210	dualbound = 3374821.183745, lowerbound=1268769.961266, norm of subgrad 133.611868	 stepsize= 103.981990 
+dualbound = 3388409.480073, lowerbound=1284853.825350, norm of subgrad 1135.802283	dualbound = 3388409.480073, lowerbound=1284853.825350, norm of subgrad 137.044870	 stepsize= 103.981990 
+dualbound = 3397808.484902, lowerbound=1271480.774402, norm of subgrad 1129.930872	dualbound = 3397808.484902, lowerbound=1271480.774402, norm of subgrad 121.086766	 stepsize= 103.981990 
+dualbound = 3411910.120151, lowerbound=1287142.139499, norm of subgrad 1136.794678	dualbound = 3411910.120151, lowerbound=1287142.139499, norm of subgrad 138.786293	 stepsize= 103.981990 
+dualbound = 3415919.226989, lowerbound=1290527.354398, norm of subgrad 1138.411329	dualbound = 3415919.226989, lowerbound=1290527.354398, norm of subgrad 97.273361	 stepsize= 103.981990 
+dualbound = 3430839.667563, lowerbound=1281635.919296, norm of subgrad 1134.388787	dualbound = 3430839.667563, lowerbound=1281635.919296, norm of subgrad 141.853589	 stepsize= 103.981990 
+dualbound = 3444821.667017, lowerbound=1285427.683743, norm of subgrad 1136.150819	dualbound = 3444821.667017, lowerbound=1285427.683743, norm of subgrad 139.258750	 stepsize= 103.981990 
+dualbound = 3452100.148233, lowerbound=1282723.893934, norm of subgrad 1134.895543	dualbound = 3452100.148233, lowerbound=1282723.893934, norm of subgrad 111.993220	 stepsize= 103.981990 
+dualbound = 3461667.205743, lowerbound=1289275.473738, norm of subgrad 1137.822690	dualbound = 3461667.205743, lowerbound=1289275.473738, norm of subgrad 122.196798	 stepsize= 103.981990 
+dualbound = 3467977.005864, lowerbound=1286434.858753, norm of subgrad 1136.427234	dualbound = 3467977.005864, lowerbound=1286434.858753, norm of subgrad 106.497888	 stepsize= 103.981990 
+dualbound = 3485284.230629, lowerbound=1290432.388816, norm of subgrad 1138.463170	dualbound = 3485284.230629, lowerbound=1290432.388816, norm of subgrad 151.569208	 stepsize= 103.981990 
+dualbound = 3492518.350639, lowerbound=1289763.877597, norm of subgrad 1137.901084	dualbound = 3492518.350639, lowerbound=1289763.877597, norm of subgrad 110.856303	 stepsize= 103.981990 
+dualbound = 3502732.967662, lowerbound=1285421.016041, norm of subgrad 1135.980201	dualbound = 3502732.967662, lowerbound=1285421.016041, norm of subgrad 123.469093	 stepsize= 103.981990 
+dualbound = 3510987.620976, lowerbound=1298874.768847, norm of subgrad 1142.013471	dualbound = 3510987.620976, lowerbound=1298874.768847, norm of subgrad 116.510314	 stepsize= 103.981990 
+dualbound = 3525990.303136, lowerbound=1290481.503291, norm of subgrad 1138.348147	dualbound = 3525990.303136, lowerbound=1290481.503291, norm of subgrad 142.680350	 stepsize= 103.981990 
+dualbound = 3529754.755982, lowerbound=1296637.541903, norm of subgrad 1141.093573	dualbound = 3529754.755982, lowerbound=1296637.541903, norm of subgrad 96.028396	 stepsize= 103.981990 
+dualbound = 3533240.849575, lowerbound=1301579.383354, norm of subgrad 1143.215808	dualbound = 3533240.849575, lowerbound=1301579.383354, norm of subgrad 94.069621	 stepsize= 103.981990 
+dualbound = 3545579.067319, lowerbound=1289481.833483, norm of subgrad 1137.894034	dualbound = 3545579.067319, lowerbound=1289481.833483, norm of subgrad 132.887989	 stepsize= 103.981990 
+dualbound = 3556628.588262, lowerbound=1301155.246365, norm of subgrad 1143.216623	dualbound = 3556628.588262, lowerbound=1301155.246365, norm of subgrad 129.763327	 stepsize= 103.981990 
+dualbound = 3556591.264434, lowerbound=1302989.598354, norm of subgrad 1143.885745	dualbound = 3556591.264434, lowerbound=1302989.598354, norm of subgrad 73.808375	 stepsize= 103.981990 
+dualbound = 3573225.514529, lowerbound=1296955.774661, norm of subgrad 1141.194013	dualbound = 3573225.514529, lowerbound=1296955.774661, norm of subgrad 148.331555	 stepsize= 103.981990 
+dualbound = 3579638.627677, lowerbound=1293906.526733, norm of subgrad 1139.915140	dualbound = 3579638.627677, lowerbound=1293906.526733, norm of subgrad 109.147209	 stepsize= 103.981990 
+dualbound = 3589730.620553, lowerbound=1294432.176543, norm of subgrad 1140.131649	dualbound = 3589730.620553, lowerbound=1294432.176543, norm of subgrad 124.739700	 stepsize= 103.981990 
+dualbound = 3596314.782593, lowerbound=1304447.744248, norm of subgrad 1144.454343	dualbound = 3596314.782593, lowerbound=1304447.744248, norm of subgrad 109.142852	 stepsize= 103.981990 
+dualbound = 3612352.877081, lowerbound=1305304.468216, norm of subgrad 1144.817657	dualbound = 3612352.877081, lowerbound=1305304.468216, norm of subgrad 146.085915	 stepsize= 103.981990 
+dualbound = 3621424.852728, lowerbound=1306265.848655, norm of subgrad 1145.157565	dualbound = 3621424.852728, lowerbound=1306265.848655, norm of subgrad 119.130079	 stepsize= 103.981990 
+dualbound = 3632657.777313, lowerbound=1327585.026256, norm of subgrad 1154.622460	dualbound = 3632657.777313, lowerbound=1327585.026256, norm of subgrad 129.618381	 stepsize= 103.981990 
+dualbound = 3643294.841000, lowerbound=1303284.141352, norm of subgrad 1143.866750	dualbound = 3643294.841000, lowerbound=1303284.141352, norm of subgrad 125.634644	 stepsize= 103.981990 
+dualbound = 3650924.929064, lowerbound=1299476.210533, norm of subgrad 1142.299090	dualbound = 3650924.929064, lowerbound=1299476.210533, norm of subgrad 114.022314	 stepsize= 103.981990 
+dualbound = 3658686.193151, lowerbound=1312852.502072, norm of subgrad 1148.084275	dualbound = 3658686.193151, lowerbound=1312852.502072, norm of subgrad 114.045009	 stepsize= 103.981990 
+dualbound = 3667739.227943, lowerbound=1311091.409920, norm of subgrad 1147.370651	dualbound = 3667739.227943, lowerbound=1311091.409920, norm of subgrad 120.087613	 stepsize= 103.981990 
+dualbound = 3673563.783925, lowerbound=1303502.289210, norm of subgrad 1144.067432	dualbound = 3673563.783925, lowerbound=1303502.289210, norm of subgrad 105.889357	 stepsize= 103.981990 
+dualbound = 3680553.146594, lowerbound=1316314.643311, norm of subgrad 1149.657620	dualbound = 3680553.146594, lowerbound=1316314.643311, norm of subgrad 111.298530	 stepsize= 103.981990 
+dualbound = 3684500.628101, lowerbound=1315478.953285, norm of subgrad 1149.357191	dualbound = 3684500.628101, lowerbound=1315478.953285, norm of subgrad 97.419102	 stepsize= 103.981990 
+dualbound = 3695271.237108, lowerbound=1310964.209783, norm of subgrad 1147.263793	dualbound = 3695271.237108, lowerbound=1310964.209783, norm of subgrad 126.572544	 stepsize= 103.981990 
+dualbound = 3704186.733993, lowerbound=1300227.110586, norm of subgrad 1142.506941	dualbound = 3704186.733993, lowerbound=1300227.110586, norm of subgrad 118.365945	 stepsize= 103.981990 
+dualbound = 3723224.804209, lowerbound=1326647.902081, norm of subgrad 1154.062348	dualbound = 3723224.804209, lowerbound=1326647.902081, norm of subgrad 155.724340	 stepsize= 103.981990 
+dualbound = 3729608.981815, lowerbound=1313691.429575, norm of subgrad 1148.485276	dualbound = 3729608.981815, lowerbound=1313691.429575, norm of subgrad 108.218194	 stepsize= 103.981990 
+dualbound = 3732417.642892, lowerbound=1320867.334226, norm of subgrad 1151.556483	dualbound = 3732417.642892, lowerbound=1320867.334226, norm of subgrad 89.574891	 stepsize= 103.981990 
+dualbound = 3737189.798005, lowerbound=1314305.452445, norm of subgrad 1148.803052	dualbound = 3737189.798005, lowerbound=1314305.452445, norm of subgrad 101.070051	 stepsize= 103.981990 
+dualbound = 3750384.669055, lowerbound=1313462.754864, norm of subgrad 1148.455378	dualbound = 3750384.669055, lowerbound=1313462.754864, norm of subgrad 136.681641	 stepsize= 103.981990 
+dualbound = 3756445.954331, lowerbound=1323163.409786, norm of subgrad 1152.611561	dualbound = 3756445.954331, lowerbound=1323163.409786, norm of subgrad 106.823618	 stepsize= 103.981990 
+dualbound = 3756654.681262, lowerbound=1333250.425752, norm of subgrad 1157.040373	dualbound = 3756654.681262, lowerbound=1333250.425752, norm of subgrad 75.503158	 stepsize= 103.981990 
+dualbound = 3771290.237683, lowerbound=1312116.177664, norm of subgrad 1147.725654	dualbound = 3771290.237683, lowerbound=1312116.177664, norm of subgrad 140.689575	 stepsize= 103.981990 
+dualbound = 3783799.088840, lowerbound=1336582.957654, norm of subgrad 1158.269812	dualbound = 3783799.088840, lowerbound=1336582.957654, norm of subgrad 132.343686	 stepsize= 103.981990 
+dualbound = 3790123.383973, lowerbound=1330741.359975, norm of subgrad 1155.962958	dualbound = 3790123.383973, lowerbound=1330741.359975, norm of subgrad 108.780950	 stepsize= 103.981990 
+dualbound = 3796516.137157, lowerbound=1319041.246924, norm of subgrad 1150.864565	dualbound = 3796516.137157, lowerbound=1319041.246924, norm of subgrad 108.815225	 stepsize= 103.981990 
+dualbound = 3794396.909500, lowerbound=1316818.037277, norm of subgrad 1149.829134	dualbound = 3794396.909500, lowerbound=1316818.037277, norm of subgrad 56.300731	 stepsize= 103.981990 
+dualbound = 3805323.750831, lowerbound=1324625.418912, norm of subgrad 1153.357455	dualbound = 3805323.750831, lowerbound=1324625.418912, norm of subgrad 128.587874	 stepsize= 103.981990 
+dualbound = 3815670.484386, lowerbound=1319478.835980, norm of subgrad 1150.924340	dualbound = 3815670.484386, lowerbound=1319478.835980, norm of subgrad 124.477844	 stepsize= 103.981990 
+dualbound = 3829830.187548, lowerbound=1333014.647202, norm of subgrad 1156.851178	dualbound = 3829830.187548, lowerbound=1333014.647202, norm of subgrad 139.462193	 stepsize= 103.981990 
+dualbound = 3823525.797380, lowerbound=1323278.851370, norm of subgrad 1152.709353	dualbound = 3823525.797380, lowerbound=1323278.851370, norm of subgrad -nan	 stepsize= 103.981990 
+dualbound = 3841316.979094, lowerbound=1323705.040778, norm of subgrad 1152.780135	dualbound = 3841316.979094, lowerbound=1323705.040778, norm of subgrad 151.618540	 stepsize= 103.981990 
+dualbound = 3838909.939421, lowerbound=1318490.487379, norm of subgrad 1150.491411	dualbound = 3838909.939421, lowerbound=1318490.487379, norm of subgrad 52.277723	 stepsize= 103.981990 
+dualbound = 3851686.605681, lowerbound=1324508.324298, norm of subgrad 1153.203505	dualbound = 3851686.605681, lowerbound=1324508.324298, norm of subgrad 134.709563	 stepsize= 103.981990 
+dualbound = 3858381.201007, lowerbound=1329955.135746, norm of subgrad 1155.499085	dualbound = 3858381.201007, lowerbound=1329955.135746, norm of subgrad 109.167739	 stepsize= 103.981990 
+dualbound = 3869209.868641, lowerbound=1329553.748476, norm of subgrad 1155.568150	dualbound = 3869209.868641, lowerbound=1329553.748476, norm of subgrad 128.890138	 stepsize= 103.981990 
+dualbound = 3869470.758872, lowerbound=1325759.341103, norm of subgrad 1153.669945	dualbound = 3869470.758872, lowerbound=1325759.341103, norm of subgrad 73.863998	 stepsize= 103.981990 
+dualbound = 3875577.632593, lowerbound=1340184.774013, norm of subgrad 1160.015420	dualbound = 3875577.632593, lowerbound=1340184.774013, norm of subgrad 107.507552	 stepsize= 103.981990 
+dualbound = 3886146.352111, lowerbound=1329437.185610, norm of subgrad 1155.377941	dualbound = 3886146.352111, lowerbound=1329437.185610, norm of subgrad 126.608529	 stepsize= 103.981990 
+dualbound = 3891989.848492, lowerbound=1328209.906681, norm of subgrad 1154.684332	dualbound = 3891989.848492, lowerbound=1328209.906681, norm of subgrad 104.544232	 stepsize= 103.981990 
+dualbound = 3900574.383836, lowerbound=1343345.307387, norm of subgrad 1161.425119	dualbound = 3900574.383836, lowerbound=1343345.307387, norm of subgrad 118.943412	 stepsize= 103.981990 
+dualbound = 3912658.544597, lowerbound=1336608.727984, norm of subgrad 1158.450572	dualbound = 3912658.544597, lowerbound=1336608.727984, norm of subgrad 132.223904	 stepsize= 103.981990 
+dualbound = 3917490.373036, lowerbound=1343728.160199, norm of subgrad 1161.434096	dualbound = 3917490.373036, lowerbound=1343728.160199, norm of subgrad 100.164008	 stepsize= 103.981990 
+dualbound = 3922080.851122, lowerbound=1332513.375828, norm of subgrad 1156.611160	dualbound = 3922080.851122, lowerbound=1332513.375828, norm of subgrad 99.128594	 stepsize= 103.981990 
+dualbound = 3927939.217320, lowerbound=1351681.436727, norm of subgrad 1165.061988	dualbound = 3927939.217320, lowerbound=1351681.436727, norm of subgrad 107.454019	 stepsize= 103.981990 
+dualbound = 3932247.623996, lowerbound=1333321.769615, norm of subgrad 1157.095834	dualbound = 3932247.623996, lowerbound=1333321.769615, norm of subgrad 99.284473	 stepsize= 103.981990 
+dualbound = 3939215.017999, lowerbound=1342576.767394, norm of subgrad 1161.011958	dualbound = 3939215.017999, lowerbound=1342576.767394, norm of subgrad 111.082825	 stepsize= 103.981990 
+dualbound = 3943351.563494, lowerbound=1352952.232281, norm of subgrad 1165.427918	dualbound = 3943351.563494, lowerbound=1352952.232281, norm of subgrad 96.987347	 stepsize= 103.981990 
+dualbound = 3955351.701039, lowerbound=1345403.755734, norm of subgrad 1162.188348	dualbound = 3955351.701039, lowerbound=1345403.755734, norm of subgrad 131.446330	 stepsize= 103.981990 
+dualbound = 3960257.014087, lowerbound=1338351.139948, norm of subgrad 1159.164846	dualbound = 3960257.014087, lowerbound=1338351.139948, norm of subgrad 101.080725	 stepsize= 103.981990 
+dualbound = 3966250.077479, lowerbound=1338001.301960, norm of subgrad 1158.911689	dualbound = 3966250.077479, lowerbound=1338001.301960, norm of subgrad 105.204864	 stepsize= 103.981990 
+dualbound = 3978846.564750, lowerbound=1339679.680296, norm of subgrad 1159.724830	dualbound = 3978846.564750, lowerbound=1339679.680296, norm of subgrad 133.710461	 stepsize= 103.981990 
+dualbound = 3981184.115870, lowerbound=1336298.221974, norm of subgrad 1158.341583	dualbound = 3981184.115870, lowerbound=1336298.221974, norm of subgrad 88.286755	 stepsize= 103.981990 
+dualbound = 3989558.714603, lowerbound=1341137.433052, norm of subgrad 1160.244126	dualbound = 3989558.714603, lowerbound=1341137.433052, norm of subgrad 115.773912	 stepsize= 103.981990 
+dualbound = 3992884.496514, lowerbound=1352469.828182, norm of subgrad 1165.338504	dualbound = 3992884.496514, lowerbound=1352469.828182, norm of subgrad 94.179520	 stepsize= 103.981990 
+dualbound = 3994274.716234, lowerbound=1343773.794886, norm of subgrad 1161.607849	dualbound = 3994274.716234, lowerbound=1343773.794886, norm of subgrad 83.361980	 stepsize= 103.981990 
+dualbound = 4000953.950147, lowerbound=1338807.045936, norm of subgrad 1159.411508	dualbound = 4000953.950147, lowerbound=1338807.045936, norm of subgrad 110.032877	 stepsize= 103.981990 
+dualbound = 4012431.787055, lowerbound=1340510.575798, norm of subgrad 1160.111019	dualbound = 4012431.787055, lowerbound=1340510.575798, norm of subgrad 129.710589	 stepsize= 103.981990 
+dualbound = 4010173.788955, lowerbound=1357281.281841, norm of subgrad 1167.375810	dualbound = 4010173.788955, lowerbound=1357281.281841, norm of subgrad 56.806706	 stepsize= 103.981990 
+dualbound = 4018607.747246, lowerbound=1351469.707522, norm of subgrad 1164.801145	dualbound = 4018607.747246, lowerbound=1351469.707522, norm of subgrad 117.157835	 stepsize= 103.981990 
+dualbound = 4024727.024695, lowerbound=1346046.984097, norm of subgrad 1162.507197	dualbound = 4024727.024695, lowerbound=1346046.984097, norm of subgrad 107.216032	 stepsize= 103.981990 
+dualbound = 4032894.836426, lowerbound=1349743.570264, norm of subgrad 1164.032031	dualbound = 4032894.836426, lowerbound=1349743.570264, norm of subgrad 115.735957	 stepsize= 103.981990 
+dualbound = 4041144.859840, lowerbound=1354146.260054, norm of subgrad 1166.000112	dualbound = 4041144.859840, lowerbound=1354146.260054, norm of subgrad 116.876103	 stepsize= 103.981990 
+dualbound = 4044914.951860, lowerbound=1351677.432682, norm of subgrad 1164.924647	dualbound = 4044914.951860, lowerbound=1351677.432682, norm of subgrad 95.614288	 stepsize= 103.981990 
+dualbound = 4046255.163778, lowerbound=1356345.068276, norm of subgrad 1166.921620	dualbound = 4046255.163778, lowerbound=1356345.068276, norm of subgrad 81.860930	 stepsize= 103.981990 
+dualbound = 4057955.605749, lowerbound=1355671.653454, norm of subgrad 1166.636470	dualbound = 4057955.605749, lowerbound=1355671.653454, norm of subgrad 130.650075	 stepsize= 103.981990 
+dualbound = 4058105.481204, lowerbound=1358005.150696, norm of subgrad 1167.617725	dualbound = 4058105.481204, lowerbound=1358005.150696, norm of subgrad 73.999158	 stepsize= 103.981990 
+dualbound = 4072121.193510, lowerbound=1352992.158859, norm of subgrad 1165.417161	dualbound = 4072121.193510, lowerbound=1352992.158859, norm of subgrad 138.638784	 stepsize= 103.981990 
+dualbound = 4071216.760768, lowerbound=1356558.951681, norm of subgrad 1167.031256	dualbound = 4071216.760768, lowerbound=1356558.951681, norm of subgrad 67.071359	 stepsize= 103.981990 
+dualbound = 4080167.830012, lowerbound=1361662.687301, norm of subgrad 1169.217981	dualbound = 4080167.830012, lowerbound=1361662.687301, norm of subgrad 119.829334	 stepsize= 103.981990 
+dualbound = 4080292.653973, lowerbound=1344526.500946, norm of subgrad 1161.898662	dualbound = 4080292.653973, lowerbound=1344526.500946, norm of subgrad 74.878728	 stepsize= 103.981990 
+dualbound = 4086359.817483, lowerbound=1347266.240780, norm of subgrad 1163.019880	dualbound = 4086359.817483, lowerbound=1347266.240780, norm of subgrad 106.846448	 stepsize= 103.981990 
+dualbound = 4093784.991507, lowerbound=1361970.154095, norm of subgrad 1169.375113	dualbound = 4093784.991507, lowerbound=1361970.154095, norm of subgrad 113.548113	 stepsize= 103.981990 
+dualbound = 4098461.968395, lowerbound=1346890.552910, norm of subgrad 1162.921129	dualbound = 4098461.968395, lowerbound=1346890.552910, norm of subgrad 100.856219	 stepsize= 103.981990 
+dualbound = 4106807.328498, lowerbound=1359915.102557, norm of subgrad 1168.433611	dualbound = 4106807.328498, lowerbound=1359915.102557, norm of subgrad 116.907485	 stepsize= 103.981990 
+dualbound = 4108605.147319, lowerbound=1358073.551733, norm of subgrad 1167.753207	dualbound = 4108605.147319, lowerbound=1358073.551733, norm of subgrad 85.859297	 stepsize= 103.981990 
+dualbound = 4118043.418603, lowerbound=1365640.147199, norm of subgrad 1170.869825	dualbound = 4118043.418603, lowerbound=1365640.147199, norm of subgrad 121.384807	 stepsize= 103.981990 
+dualbound = 4125487.365646, lowerbound=1351351.858363, norm of subgrad 1164.732956	dualbound = 4125487.365646, lowerbound=1351351.858363, norm of subgrad 112.671856	 stepsize= 103.981990 
+dualbound = 4132196.317121, lowerbound=1371786.432499, norm of subgrad 1173.411025	dualbound = 4132196.317121, lowerbound=1371786.432499, norm of subgrad 108.701203	 stepsize= 103.981990 
+dualbound = 4143230.709671, lowerbound=1360048.769271, norm of subgrad 1168.437319	dualbound = 4143230.709671, lowerbound=1360048.769271, norm of subgrad 127.402483	 stepsize= 103.981990 
+dualbound = 4144445.931014, lowerbound=1360016.206736, norm of subgrad 1168.578284	dualbound = 4144445.931014, lowerbound=1360016.206736, norm of subgrad 82.305658	 stepsize= 103.981990 
+dualbound = 4144985.817106, lowerbound=1357124.687163, norm of subgrad 1167.265474	dualbound = 4144985.817106, lowerbound=1357124.687163, norm of subgrad 76.966786	 stepsize= 103.981990 
+dualbound = 4146671.082782, lowerbound=1361201.538606, norm of subgrad 1169.073795	dualbound = 4146671.082782, lowerbound=1361201.538606, norm of subgrad 84.954492	 stepsize= 103.981990 
+dualbound = 4153634.269377, lowerbound=1359326.256063, norm of subgrad 1168.179462	dualbound = 4153634.269377, lowerbound=1359326.256063, norm of subgrad 110.816003	 stepsize= 103.981990 
+dualbound = 4160078.394909, lowerbound=1349341.227198, norm of subgrad 1163.848455	dualbound = 4160078.394909, lowerbound=1349341.227198, norm of subgrad 107.917216	 stepsize= 103.981990 
+dualbound = 4172727.602701, lowerbound=1373948.363823, norm of subgrad 1174.398299	dualbound = 4172727.602701, lowerbound=1373948.363823, norm of subgrad 133.836496	 stepsize= 103.981990 
+dualbound = 4179155.363666, lowerbound=1365922.628199, norm of subgrad 1171.057056	dualbound = 4179155.363666, lowerbound=1365922.628199, norm of subgrad 108.994316	 stepsize= 103.981990 
+dualbound = 4178099.771388, lowerbound=1356132.548773, norm of subgrad 1166.861838	dualbound = 4178099.771388, lowerbound=1356132.548773, norm of subgrad 66.169538	 stepsize= 103.981990 
+dualbound = 4183232.594067, lowerbound=1362617.137320, norm of subgrad 1169.557667	dualbound = 4183232.594067, lowerbound=1362617.137320, norm of subgrad 101.886322	 stepsize= 103.981990 
+dualbound = 4184912.589683, lowerbound=1372615.692124, norm of subgrad 1174.092284	dualbound = 4184912.589683, lowerbound=1372615.692124, norm of subgrad 86.930982	 stepsize= 103.981990 
+dualbound = 4183490.205630, lowerbound=1365786.244599, norm of subgrad 1170.945022	dualbound = 4183490.205630, lowerbound=1365786.244599, norm of subgrad 62.478924	 stepsize= 103.981990 
+dualbound = 4198088.622875, lowerbound=1363747.543467, norm of subgrad 1170.116893	dualbound = 4198088.622875, lowerbound=1363747.543467, norm of subgrad 141.507658	 stepsize= 103.981990 
+dualbound = 4196945.593205, lowerbound=1376122.172479, norm of subgrad 1175.440416	dualbound = 4196945.593205, lowerbound=1376122.172479, norm of subgrad 66.294572	 stepsize= 103.981990 
+dualbound = 4206958.493555, lowerbound=1361283.377253, norm of subgrad 1168.974070	dualbound = 4206958.493555, lowerbound=1361283.377253, norm of subgrad 123.409482	 stepsize= 103.981990 
+dualbound = 4214559.968266, lowerbound=1363477.788492, norm of subgrad 1169.808868	dualbound = 4214559.968266, lowerbound=1363477.788492, norm of subgrad 112.144883	 stepsize= 103.981990 
+dualbound = 4222060.837904, lowerbound=1374514.045785, norm of subgrad 1174.831922	dualbound = 4222060.837904, lowerbound=1374514.045785, norm of subgrad 114.964645	 stepsize= 103.981990 
+dualbound = 4225921.432047, lowerbound=1347076.060982, norm of subgrad 1162.916188	dualbound = 4225921.432047, lowerbound=1347076.060982, norm of subgrad 95.700544	 stepsize= 103.981990 
+dualbound = 4224111.190446, lowerbound=1368141.857149, norm of subgrad 1172.078435	
\ No newline at end of file
diff --git a/first.ipynb b/first.ipynb
index b9dc4a1e7ff86e8f5d6fd300b6fe19597fcdd734..15f68cb2ae13384485526cfe14563f9dbf85c408 100644
--- a/first.ipynb
+++ b/first.ipynb
@@ -20,7 +20,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 48,
    "metadata": {},
    "outputs": [
     {
@@ -35,7 +35,7 @@
     }
    ],
    "source": [
-    "file = open(\"var.txt\",\"r\")\n",
+    "file = open(\"lr1list.txt\",\"r\")\n",
     "maxiter = file.readline()\n",
     "print(maxiter)\n",
     "# niter = (float(f))\n",
@@ -55,7 +55,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 49,
    "metadata": {
     "scrolled": true
    },
@@ -78,7 +78,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 50,
    "metadata": {},
    "outputs": [
     {
@@ -87,7 +87,7 @@
        "(18990, 1)"
       ]
      },
-     "execution_count": 12,
+     "execution_count": 50,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -100,7 +100,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 35,
+   "execution_count": 51,
    "metadata": {},
    "outputs": [
     {
@@ -109,7 +109,7 @@
        "Text(0.5, 1.0, 'using lagrangian learning rate=1')"
       ]
      },
-     "execution_count": 35,
+     "execution_count": 51,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -139,10 +139,128 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 97,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "221\n",
+      "\n"
+     ]
+    }
+   ],
+   "source": [
+    "file = open(\"var.txt\",\"r\")\n",
+    "maxiternew = file.readline()\n",
+    "print(maxiternew)\n",
+    "# niter = (float(f))\n",
+    "# print(niter)\n",
+    "gshort = [0]*int(maxiternew)\n",
+    "pshorter = [0]* int(maxiternew)\n",
+    "for i in range (0, int(maxiternew)):\n",
+    "    gshort[i]= file.readline()\n",
+    "    gshort[i]=float(gshort[i])\n",
+    "    if(i<int(maxiter)):\n",
+    "        pshorter[i]=float(g[i])\n",
+    "file.close()\n",
+    "\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 82,
    "metadata": {},
    "outputs": [],
-   "source": []
+   "source": [
+    "glonger=[0]*int(maxiter)\n",
+    "for i in range (0, int(maxiter)):\n",
+    "    if(i < int(maxiternew)):\n",
+    "        glonger[i] = gshort[i]\n",
+    "    else:\n",
+    "        glonger[i] = gshort[int(maxiternew)-1]\n",
+    "    \n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 83,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0.5, 1.0, 'using lagrangian learning rate=1')"
+      ]
+     },
+     "execution_count": 83,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plt.plot(p,g,'r--',p,glonger,'b--',p,c,'g--',p,u,'p--')\n",
+    "plt.ylabel('lower bound')\n",
+    "plt.xlabel('iteration')\n",
+    "# yticks = np.arange(1,20,1)\n",
+    "# plt.yticks(yticks, yticks**2)\n",
+    "# plt.title('Lagrangian Relaxation for problem problem_t_pricer_0_2.lp, with 26,000 variables')\n",
+    "plt.title('using lagrangian learning rate=1 vs rate 113')\n",
+    "# plt.figure(p,g,'r-')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 99,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0.5, 1.0, 'using lagrangian learning rate=1 vs lr=103 for problem problem_t_pricer_0.12')"
+      ]
+     },
+     "execution_count": 99,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "pnew= np.arange(1,int(maxiternew)+1)\n",
+    "plt.plot(pnew,gshort,'r--',pnew,pshorter,'b--')\n",
+    "plt.ylabel('lower bound')\n",
+    "plt.xlabel('iteration')\n",
+    "# yticks = np.arange(1,20,1)\n",
+    "# plt.yticks(yticks, yticks**2)\n",
+    "# plt.title('Lagrangian Relaxation for problem problem_t_pricer_0_2.lp, with 26,000 variables')\n",
+    "plt.title('using lagrangian learning rate=1 vs lr=103 for problem problem_t_pricer_0.12')\n",
+    "# plt.figure(p,g,'r-')"
+   ]
   },
   {
    "cell_type": "code",
diff --git a/lowerbounds.txt b/lowerbounds.txt
index a4bd7e634028cae076c3893e901bab0399a43f35..c29ced4117f28d97527bfb7a5c30adc4f467b443 100644
--- a/lowerbounds.txt
+++ b/lowerbounds.txt
@@ -1,18991 +1,86 @@
 969553.451655		 969553.451655	 norm=50.109879
-970758.779461		 969627.779461	 norm=48.569538
-971924.200775		 969727.200775	 norm=48.383882
-972984.307895		 969836.307895	 norm=47.644517
-974050.286894		 970011.286894	 norm=46.968074
-975016.061762		 970255.061762	 norm=46.508064
-975976.214386		 970287.214386	 norm=46.486557
-976857.818754		 970665.818754	 norm=45.650849
-977760.629360		 970793.629360	 norm=45.387223
-978588.055560		 971071.055560	 norm=45.133136
-979411.139985		 971268.139985	 norm=44.933284
-980186.094698		 971485.094698	 norm=44.977772
-980974.414410		 971658.414410	 norm=44.090815
-981721.176878		 971869.176878	 norm=44.966654
-982444.613921		 971979.613921	 norm=44.418465
-983171.021030		 972256.021030	 norm=44.418465
-983879.968084		 972567.968084	 norm=44.508426
-984576.545759		 972610.545759	 norm=44.022721
-985258.471322		 972812.471322	 norm=44.328321
-985936.788115		 973078.788115	 norm=44.407207
-986588.141280		 973063.141280	 norm=44.079474
-987246.815095		 973534.815095	 norm=43.714986
-987895.734428		 973501.734428	 norm=43.588989
-988524.128863		 973738.128863	 norm=44.022721
-989129.449336		 974069.449336	 norm=43.657760
-989736.924508		 974711.924508	 norm=43.886217
-990336.499391		 974460.499391	 norm=43.965896
-990914.031479		 974834.031479	 norm=43.485630
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-1145882.765047		 1054850.765047	 norm=39.661064
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-1146081.957993		 1055633.957993	 norm=40.730824
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-1169287.521635		 1067450.521635	 norm=39.408121
-1169380.332326		 1066101.332326	 norm=39.585351
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-1169609.148217		 1067073.148217	 norm=39.924930
-1169610.595914		 1068393.595914	 norm=40.311289
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-1169836.649866		 1066461.649866	 norm=39.824616
-1169886.094762		 1069387.094762	 norm=40.459857
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-1181569.679848		 1074555.679848	 norm=39.812058
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-1183092.618963		 1075595.618963	 norm=38.392708
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-1183245.514884		 1074026.514884	 norm=40.583248
-1183284.261518		 1076483.261518	 norm=40.049969
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-1183422.173293		 1078812.173293	 norm=39.420807
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-1183797.392940		 1080348.392940	 norm=38.935845
-1183838.471842		 1074035.471842	 norm=40.274061
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-1184415.170496		 1070866.170496	 norm=39.849718
-1184494.008481		 1082048.008481	 norm=38.858718
-1184572.746112		 1072924.746112	 norm=39.025633
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-1185614.553074		 1074640.553074	 norm=40.236799
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-1186021.591132		 1074972.591132	 norm=40.261644
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-1186437.506440		 1076507.506440	 norm=40.398020
-1186482.018544		 1078856.018544	 norm=40.398020
-1186557.157633		 1074009.157633	 norm=39.370039
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-1186680.317114		 1078448.317114	 norm=39.736633
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-1186837.932797		 1078136.932797	 norm=39.899875
-1186907.669107		 1080908.669107	 norm=39.799497
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-1187262.356360		 1076835.356360	 norm=39.560081
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-1187389.976715		 1075618.976715	 norm=39.749214
-1187439.831876		 1077983.831876	 norm=39.370039
-1187486.128532		 1079134.128532	 norm=40.274061
-1187542.733462		 1079784.733462	 norm=40.049969
-1187593.327589		 1076027.327589	 norm=39.887341
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-1187724.085466		 1077782.085466	 norm=39.281039
-1187799.366324		 1077991.366324	 norm=38.716921
-1187858.674564		 1076859.674564	 norm=39.281039
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-1188184.345889		 1077661.345889	 norm=39.522146
-1188238.025934		 1080275.025934	 norm=40.558600
-1188301.912484		 1080080.912484	 norm=39.102430
-1188383.424722		 1077864.424722	 norm=39.153544
-1188414.236118		 1077074.236118	 norm=40.435133
-1188464.598664		 1079985.598664	 norm=38.897301
-1188552.093890		 1076690.093890	 norm=40.024992
-1188591.176653		 1079519.176653	 norm=39.572718
-1188663.329389		 1078737.329389	 norm=39.446166
-1188700.163668		 1078962.163668	 norm=40.755368
-1188732.810974		 1079192.810974	 norm=39.698866
-1188846.137209		 1081036.137209	 norm=38.781439
-1188886.222290		 1076790.222290	 norm=40.000000
-1188923.000637		 1080466.000637	 norm=40.049969
-1188991.662916		 1076372.662916	 norm=39.987498
-1189052.350740		 1078837.350740	 norm=38.820098
-1189142.220657		 1080707.220657	 norm=39.597980
-1189168.074480		 1077370.074480	 norm=39.522146
-1189233.052475		 1082280.052475	 norm=39.255573
-1189293.670686		 1077061.670686	 norm=39.420807
-1189341.335798		 1082160.335798	 norm=39.281039
-1189416.542352		 1076845.542352	 norm=39.446166
-1189455.734325		 1080830.734325	 norm=39.585351
-1189509.466676		 1080711.466676	 norm=39.319207
-1189573.048457		 1078134.048457	 norm=40.755368
-1189598.201060		 1080926.201060	 norm=39.597980
-1189685.609628		 1080489.609628	 norm=39.319207
-1189742.775641		 1080095.775641	 norm=40.062451
-1189780.024941		 1079589.024941	 norm=40.632499
-1189827.802419		 1082297.802419	 norm=40.583248
-1189893.570137		 1078069.570137	 norm=39.484174
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-1244816.754525		 1119815.754525	 norm=38.157568
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-1245373.152205		 1121807.152205	 norm=39.242834
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-1245941.487038		 1117653.487038	 norm=38.832976
-1245961.530525		 1122805.530525	 norm=39.012818
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-1246149.550139		 1120898.550139	 norm=38.105118
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-1246183.096911		 1124578.096911	 norm=39.179076
-1246266.116805		 1118084.116805	 norm=37.722672
-1246295.250335		 1121898.250335	 norm=38.170669
-1246337.860024		 1119239.860024	 norm=38.249183
-1246350.266098		 1122220.266098	 norm=38.379682
-1246390.563155		 1120232.563155	 norm=38.716921
-1246414.903422		 1121762.903422	 norm=38.522721
-1246471.532032		 1124684.532032	 norm=38.392708
-1246483.767792		 1118557.767792	 norm=38.948684
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-1246536.080741		 1122508.080741	 norm=39.242834
-1246593.864211		 1117792.864211	 norm=39.051248
-1246611.261590		 1124002.261590	 norm=39.635842
-1246633.268073		 1118782.268073	 norm=39.496835
-1246676.705616		 1122337.705616	 norm=39.471509
-1246734.222867		 1121715.222867	 norm=37.868192
-1246751.850490		 1119632.850490	 norm=38.548671
-1246804.684141		 1122668.684141	 norm=38.223030
-1246856.782659		 1122084.782659	 norm=38.444766
-1246858.230140		 1125898.230140	 norm=39.102430
-1246915.058271		 1119849.058271	 norm=38.755645
-1246924.142672		 1118023.142672	 norm=38.794329
-1246969.990791		 1124394.990791	 norm=40.062451
-1246980.973578		 1120429.973578	 norm=38.366652
-1247064.144916		 1123210.144916	 norm=38.026307
-1247081.938199		 1121320.938199	 norm=38.704005
-1247111.038829		 1125842.038829	 norm=38.665230
-1247142.833897		 1118364.833897	 norm=39.331921
-1247158.494042		 1126694.494042	 norm=39.433488
-1247176.497010		 1122723.497010	 norm=39.987498
-1247226.819239		 1122188.819239	 norm=38.678159
-1247286.228571		 1118274.228571	 norm=37.881394
-1247339.794061		 1124434.794061	 norm=37.802116
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-1254232.104558		 1128884.104558	 norm=39.306488
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-1254332.279101		 1128385.279101	 norm=39.774364
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-1254598.621954		 1128960.621954	 norm=40.000000
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-1254933.609216		 1131591.609216	 norm=40.112342
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-1255177.196520		 1124111.196520	 norm=39.051248
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-1255245.166424		 1127510.166424	 norm=39.089641
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-1255298.604443		 1130427.604443	 norm=38.987177
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-1255373.448972		 1125581.448972	 norm=39.293765
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-1255496.827768		 1126071.827768	 norm=39.458839
-1255504.175088		 1129724.175088	 norm=39.560081
-1255560.117562		 1129502.117562	 norm=38.652296
-1255598.133562		 1132727.133562	 norm=38.000000
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-1255773.302369		 1133513.302369	 norm=38.652296
-1255834.353200		 1123455.353200	 norm=38.170669
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-1255920.181826		 1131711.181826	 norm=39.242834
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-1256157.783970		 1125430.783970	 norm=39.064050
-1256182.874031		 1126460.874031	 norm=38.897301
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-1256376.672241		 1127688.672241	 norm=38.379682
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-1256458.123193		 1130337.123193	 norm=39.000000
-1256462.392059		 1125328.392059	 norm=39.673669
-1256500.116803		 1132457.116803	 norm=39.204592
-1256538.557784		 1128315.557784	 norm=38.509739
-1256579.373539		 1130001.373539	 norm=38.716921
-1256611.785239		 1128010.785239	 norm=38.522721
-1256623.903811		 1131819.903811	 norm=38.574603
-1256702.656045		 1132651.656045	 norm=38.026307
-1256700.724877		 1126018.724877	 norm=38.729833
-1256731.156481		 1129926.156481	 norm=39.268308
-1256738.903497		 1129577.903497	 norm=39.824616
-1256781.378049		 1129860.378049	 norm=38.755645
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-1256849.395087		 1129732.395087	 norm=39.572718
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-1256930.677620		 1129261.677620	 norm=38.483763
-1256952.071308		 1128186.071308	 norm=38.379682
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-1257024.328075		 1131401.328075	 norm=39.051248
-1257041.013653		 1130334.013653	 norm=39.140772
-1257077.405233		 1128665.405233	 norm=38.858718
-1257093.646459		 1128722.646459	 norm=39.496835
-1257144.346825		 1133007.346825	 norm=38.626416
-1257180.482957		 1130496.482957	 norm=38.704005
-1257188.912855		 1130063.912855	 norm=39.661064
-1257228.740547		 1130418.740547	 norm=38.974351
-1257246.157393		 1129666.157393	 norm=38.820098
-1257302.046376		 1127371.046376	 norm=39.012818
-1257332.662975		 1131238.662975	 norm=38.327536
-1257387.774599		 1127188.774599	 norm=37.509999
-1257398.247103		 1131335.247103	 norm=38.768544
-1257427.616140		 1134033.616140	 norm=38.470768
-1257452.957564		 1125153.957564	 norm=38.431758
-1257485.358963		 1132356.358963	 norm=38.262253
-1257533.862761		 1126716.862761	 norm=38.183766
-1257547.451947		 1133818.451947	 norm=39.408121
-1257564.135358		 1129657.135358	 norm=39.089641
-1257608.818628		 1129838.818628	 norm=39.837169
-1257610.866728		 1126535.866728	 norm=39.774364
-1257674.158047		 1130802.158047	 norm=38.910153
-1257689.203716		 1128161.203716	 norm=39.420807
-1257729.305238		 1131572.305238	 norm=38.561639
-1257775.232634		 1128456.232634	 norm=38.522721
-1257802.230572		 1133295.230572	 norm=38.131352
-1257836.119819		 1132411.119819	 norm=37.336309
-1257904.353719		 1130311.353719	 norm=38.091994
-1257887.619985		 1128890.619985	 norm=38.742741
-1257928.993071		 1130231.993071	 norm=38.858718
-1257943.395926		 1130115.395926	 norm=38.327536
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-1263382.462844		 1135339.462844	 norm=38.845849
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-1263463.194253		 1137633.194253	 norm=38.910153
-1263439.477703		 1135275.477703	 norm=38.948684
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-1263519.656682		 1138630.656682	 norm=38.910153
-1263550.161842		 1133649.161842	 norm=39.357337
-1263558.737489		 1136757.737489	 norm=38.884444
-1263630.550680		 1133094.550680	 norm=38.353618
-1263650.924140		 1139159.924140	 norm=39.127995
-1263665.808181		 1131322.808181	 norm=38.665230
-1263704.905250		 1137515.905250	 norm=38.327536
-1263754.072789		 1137374.072789	 norm=37.161808
-1263770.481429		 1133953.481429	 norm=38.639358
-1263791.751533		 1135482.751533	 norm=38.379682
-1263842.110264		 1135889.110264	 norm=37.828561
-1263850.534434		 1137627.534434	 norm=38.600518
-1263876.547933		 1141064.547933	 norm=39.509493
-1263868.015313		 1133413.015313	 norm=39.012818
-1263946.357530		 1135295.357530	 norm=38.170669
-1263980.028576		 1136683.028576	 norm=37.775654
-1264001.592558		 1136897.592558	 norm=38.431758
-1264031.536055		 1134157.536055	 norm=38.405729
-1264055.478036		 1135562.478036	 norm=39.255573
-1264076.006336		 1130866.006336	 norm=38.039453
-1264141.394321		 1137305.394321	 norm=38.249183
-1264116.458205		 1138526.458205	 norm=38.884444
-1264158.149902		 1136538.149902	 norm=39.255573
-1264177.032140		 1136863.032140	 norm=38.183766
-1264250.380068		 1134331.380068	 norm=38.716921
-1264251.172868		 1136356.172868	 norm=38.013156
-1264296.234058		 1134382.234058	 norm=38.470768
-1264304.784528		 1140713.784528	 norm=39.102430
-1264332.824525		 1134171.824525	 norm=39.076847
-1264346.637161		 1136656.637161	 norm=39.255573
-1264402.746508		 1136568.746508	 norm=38.131352
-1264429.130749		 1137916.130749	 norm=37.802116
-1264478.916275		 1133076.916275	 norm=38.366652
-1264499.923157		 1138995.923157	 norm=38.418745
-1264523.680692		 1132422.680692	 norm=37.722672
-1264562.061741		 1139657.061741	 norm=37.576588
-1264580.512170		 1134058.512170	 norm=38.665230
-1264603.455115		 1138447.455115	 norm=38.105118
-1264643.400122		 1132390.400122	 norm=38.496753
-1264665.917114		 1140454.917114	 norm=38.561639
-1264688.424427		 1134420.424427	 norm=39.115214
-1264705.745064		 1137262.745064	 norm=38.405729
-1264763.178918		 1135426.178918	 norm=38.052595
-1264779.722714		 1141010.722714	 norm=38.729833
-1264803.269905		 1133089.269905	 norm=38.327536
-1264825.406390		 1139134.406390	 norm=38.935845
-1264844.382039		 1133628.382039	 norm=39.331921
-1264903.983938		 1138332.983938	 norm=38.483763
-1264915.461236		 1133356.461236	 norm=39.230090
-1264949.344386		 1135841.344386	 norm=39.319207
-1264920.997118		 1135315.997118	 norm=38.691084
-1265018.161301		 1141208.161301	 norm=37.854986
-1265042.067202		 1135785.067202	 norm=38.091994
-1265080.296485		 1133758.296485	 norm=38.288379
-1265090.821763		 1136536.821763	 norm=37.894591
-1265129.987356		 1136138.987356	 norm=38.065733
-1265152.706361		 1140669.706361	 norm=38.755645
-1265188.410485		 1136994.410485	 norm=37.841776
-1265226.563353		 1137000.563353	 norm=38.574603
-1265237.776127		 1136102.776127	 norm=38.026307
-1265272.620555		 1136004.620555	 norm=39.204592
-1265280.051726		 1138869.051726	 norm=39.382737
-1265306.314234		 1134342.314234	 norm=38.987177
-1265362.200728		 1137239.200728	 norm=38.039453
-1265398.831569		 1138244.831569	 norm=37.986840
-1265409.558991		 1134287.558991	 norm=38.314488
-1265453.404951		 1137875.404951	 norm=38.392708
-1265457.449693		 1137065.449693	 norm=38.742741
-1265492.508057		 1135623.508057	 norm=38.013156
-1265529.603343		 1133951.603343	 norm=39.179076
-1265537.243653		 1135151.243653	 norm=38.704005
-1265594.195162		 1137640.195162	 norm=37.616486
-1265628.336880		 1137778.336880	 norm=38.522721
-1265642.718359		 1139054.718359	 norm=38.742741
-1265652.742921		 1134224.742921	 norm=39.433488
-1265687.412661		 1138767.412661	 norm=38.678159
-1265727.846982		 1135953.846982	 norm=37.854986
-1265776.442895		 1138897.442895	 norm=38.144462
-1265765.453305		 1136083.453305	 norm=39.191836
-1265805.564160		 1138450.564160	 norm=39.115214
-1265838.011301		 1136352.011301	 norm=38.755645
-1265859.300107		 1138762.300107	 norm=38.807216
-1265916.076541		 1134258.076541	 norm=38.052595
-1265936.432249		 1136984.432249	 norm=38.768544
-1265953.407993		 1137330.407993	 norm=38.039453
-1266004.324982		 1137260.324982	 norm=38.209946
-1266012.550341		 1135725.550341	 norm=39.281039
-1266043.474946		 1140517.474946	 norm=38.457769
-1266069.767752		 1134595.767752	 norm=38.392708
-1266110.357864		 1139930.357864	 norm=37.947332
-1266147.924905		 1134841.924905	 norm=37.762415
-1266181.606535		 1138396.606535	 norm=37.947332
-1266190.227207		 1133049.227207	 norm=38.781439
-1266203.844702		 1140451.844702	 norm=38.716921
-1266239.564397		 1136625.564397	 norm=38.884444
-1266262.590610		 1134213.590610	 norm=39.089641
-1266300.572052		 1139304.572052	 norm=38.729833
-1266317.248386		 1142532.248386	 norm=38.249183
-1266367.251935		 1132340.251935	 norm=38.236109
-1266403.738410		 1140606.738410	 norm=38.196859
-1266422.890769		 1134420.890769	 norm=38.327536
-1266455.717627		 1138261.717627	 norm=38.587563
-1266448.549474		 1136946.549474	 norm=39.395431
-1266519.596215		 1134972.596215	 norm=37.868192
-1266551.169944		 1140235.169944	 norm=37.643060
-1266567.741742		 1137899.741742	 norm=38.678159
-1266582.024518		 1132350.024518	 norm=38.665230
-1266626.492976		 1143315.492976	 norm=38.340579
-1266648.160385		 1137031.160385	 norm=38.742741
-1266682.862500		 1135289.862500	 norm=38.183766
-1266717.126219		 1135908.126219	 norm=37.802116
-1266747.807063		 1137259.807063	 norm=38.509739
-1266764.706007		 1136797.706007	 norm=39.166312
-1266767.259015		 1138637.259015	 norm=38.742741
-1266814.387760		 1138748.387760	 norm=38.548671
-1266849.521034		 1139157.521034	 norm=38.845849
-1266858.721049		 1133842.721049	 norm=38.781439
-1266889.608214		 1142528.608214	 norm=38.871583
-1266928.310263		 1133696.310263	 norm=39.382737
-1266950.598795		 1141683.598795	 norm=38.236109
-1267014.821819		 1134969.821819	 norm=37.682887
-1267040.859897		 1136235.859897	 norm=38.223030
-1267037.772988		 1140289.772988	 norm=38.183766
-1267101.415505		 1135946.415505	 norm=38.574603
-1267083.241245		 1135678.241245	 norm=39.824616
-1267115.649462		 1139320.649462	 norm=39.306488
-1267132.211061		 1138204.211061	 norm=38.974351
-1267212.184569		 1135927.184569	 norm=37.815341
-1267214.411799		 1141230.411799	 norm=38.340579
-1267264.232989		 1137341.232989	 norm=38.457769
-1267274.486221		 1140164.486221	 norm=38.910153
-1267311.799169		 1134821.799169	 norm=38.626416
-1267328.242614		 1136342.242614	 norm=38.236109
-1267364.953950		 1139686.953950	 norm=38.626416
-1267400.707302		 1136484.707302	 norm=38.561639
-1267420.742558		 1135661.742558	 norm=38.144462
-1267467.602955		 1141353.602955	 norm=38.039453
-1267493.787525		 1138685.787525	 norm=38.026307
-1267515.010445		 1138927.010445	 norm=38.561639
-1267534.650140		 1133417.650140	 norm=38.483763
-1267568.217921		 1142825.217921	 norm=37.986840
-1267593.109328		 1136336.109328	 norm=38.961519
-1267595.969931		 1140543.969931	 norm=38.897301
-1267632.988172		 1136887.988172	 norm=38.288379
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-1267722.280136		 1138456.280136	 norm=38.431758
-1267723.688141		 1137824.688141	 norm=38.574603
-1267775.684010		 1135318.684010	 norm=37.828561
-1267813.706565		 1137663.706565	 norm=37.868192
-1267811.577111		 1143699.577111	 norm=39.395431
-1267827.418738		 1137962.418738	 norm=39.547440
-1267853.924897		 1137759.924897	 norm=39.038443
-1267905.295583		 1138441.295583	 norm=38.807216
-1267930.960268		 1139064.960268	 norm=39.127995
-1267974.829458		 1137436.829458	 norm=37.282704
-1268020.598194		 1137555.598194	 norm=38.223030
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-1268055.152325		 1137114.152325	 norm=37.868192
-1268075.848548		 1143545.848548	 norm=38.987177
-1268100.919840		 1134311.919840	 norm=38.431758
-1268132.647191		 1137726.647191	 norm=38.613469
-1268145.935109		 1141505.935109	 norm=38.131352
-1268203.060349		 1140221.060349	 norm=37.841776
-1268238.909856		 1132746.909856	 norm=37.907783
-1268260.202058		 1140512.202058	 norm=39.268308
-1268246.736114		 1137473.736114	 norm=40.049969
-1268253.301365		 1137968.301365	 norm=40.422766
-1268302.737761		 1134853.737761	 norm=38.794329
-1268344.616614		 1139670.616614	 norm=38.548671
-1268404.988617		 1135850.988617	 norm=38.587563
-1268416.230417		 1142952.230417	 norm=38.742741
-1268436.117311		 1138723.117311	 norm=38.431758
-1268475.481735		 1136456.481735	 norm=39.547440
-1268478.154160		 1140392.154160	 norm=37.788887
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-1268575.976568		 1139443.976568	 norm=38.535698
-1268603.538574		 1136063.538574	 norm=39.166312
-1268626.577658		 1140412.577658	 norm=38.587563
-1268681.356767		 1136947.356767	 norm=38.587563
-1268662.255081		 1138060.255081	 norm=39.774364
-1268721.336671		 1138788.336671	 norm=38.781439
-1268754.927746		 1133516.927746	 norm=38.858718
-1268791.354822		 1142014.354822	 norm=38.431758
-1268804.514679		 1134406.514679	 norm=38.379682
-1268844.895415		 1140769.895415	 norm=38.948684
-1268862.857037		 1137782.857037	 norm=38.131352
-1268896.170881		 1139033.170881	 norm=38.535698
-1268918.273615		 1139547.273615	 norm=38.897301
-1268935.691497		 1139398.691497	 norm=39.166312
-1268967.022751		 1135976.022751	 norm=38.704005
-1269013.776515		 1143779.776515	 norm=38.275318
-1269044.944741		 1139547.944741	 norm=38.223030
-1269057.637882		 1138046.637882	 norm=39.281039
-1269065.336984		 1139517.336984	 norm=38.742741
-1269141.306619		 1139024.306619	 norm=38.768544
-1269129.160696		 1136977.160696	 norm=39.064050
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-1269205.942481		 1135012.942481	 norm=37.696154
-1269246.505549		 1144565.505549	 norm=38.961519
-1269241.137347		 1134709.137347	 norm=39.064050
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-1269365.480057		 1139932.480057	 norm=38.729833
-1269409.460467		 1139511.460467	 norm=38.196859
-1269415.971586		 1139672.971586	 norm=38.755645
-1269472.772247		 1139269.772247	 norm=37.496667
-1269506.248975		 1138781.248975	 norm=38.223030
-1269505.776562		 1139214.776562	 norm=39.471509
-1269516.914087		 1142541.914087	 norm=38.845849
-1269584.598021		 1140037.598021	 norm=37.682887
-1269600.718056		 1140599.718056	 norm=38.935845
-1269620.256208		 1139325.256208	 norm=38.755645
-1269627.956836		 1138276.956836	 norm=39.686270
-1269677.721591		 1142707.721591	 norm=39.484174
-1269676.691071		 1134616.691071	 norm=38.392708
-1269769.812475		 1142691.812475	 norm=37.616486
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-1269790.289376		 1142741.289376	 norm=38.078866
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-1269839.996946		 1139037.996946	 norm=38.613469
-1269873.851944		 1142353.851944	 norm=38.716921
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-1269988.543897		 1141244.543897	 norm=39.191836
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-1270161.968110		 1140805.968110	 norm=38.794329
-1270206.815567		 1135994.815567	 norm=39.749214
-1270211.674864		 1145972.674864	 norm=39.673669
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-1270309.476769		 1141500.476769	 norm=38.884444
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-1270380.420541		 1142746.420541	 norm=37.947332
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-1270684.685473		 1140864.685473	 norm=37.629775
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-1270719.969171		 1139855.969171	 norm=38.078866
-1270752.244634		 1141663.244634	 norm=39.102430
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-1271911.462726		 1141051.462726	 norm=38.652296
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-1272310.776976		 1141562.776976	 norm=38.209946
-1272349.364979		 1143979.364979	 norm=38.897301
-1272331.624938		 1147505.624938	 norm=39.560081
-1272380.895286		 1135152.895286	 norm=38.626416
-1272414.671260		 1140032.671260	 norm=38.470768
-1272457.052037		 1139716.052037	 norm=38.483763
-1272453.488802		 1145601.488802	 norm=39.102430
-1272503.381926		 1141494.381926	 norm=38.574603
-1272518.348701		 1142860.348701	 norm=38.353618
-1272563.090186		 1141050.090186	 norm=37.802116
-1272608.691501		 1138849.691501	 norm=38.781439
-1272593.973473		 1142944.973473	 norm=38.652296
-1272634.585419		 1145958.585419	 norm=38.340579
-1272679.220365		 1136122.220365	 norm=37.696154
-1272719.298676		 1144554.298676	 norm=37.894591
-1272725.107342		 1142715.107342	 norm=38.987177
-1272717.955926		 1143855.955926	 norm=39.140772
-1272781.138736		 1139564.138736	 norm=38.392708
-1272811.772508		 1141678.772508	 norm=38.249183
-1272831.096083		 1144072.096083	 norm=39.140772
-1272843.753821		 1139255.753821	 norm=38.418745
-1272881.815608		 1140836.815608	 norm=39.382737
-1272880.779043		 1144750.779043	 norm=38.910153
-1272944.339487		 1136844.339487	 norm=39.509493
-1272918.319014		 1144396.319014	 norm=38.923001
-1272981.698085		 1139564.698085	 norm=39.025633
-1273016.847111		 1145065.847111	 norm=38.013156
-1273044.350937		 1143617.350937	 norm=37.894591
-1273063.856710		 1144994.856710	 norm=39.635842
-1273097.590891		 1139280.590891	 norm=38.405729
-1273137.144750		 1141322.144750	 norm=37.881394
-1273181.439049		 1141746.439049	 norm=38.314488
-1273170.104589		 1145724.104589	 norm=39.357337
-1273191.424457		 1141417.424457	 norm=39.382737
-1273240.350024		 1141326.350024	 norm=38.691084
-1273248.042798		 1145666.042798	 norm=38.314488
-1273295.639428		 1144500.639428	 norm=38.884444
-1273303.709915		 1142471.709915	 norm=39.242834
-1273337.246900		 1138793.246900	 norm=38.704005
-1273379.249435		 1145498.249435	 norm=38.275318
-1273377.784292		 1136242.784292	 norm=38.948684
-1273418.253746		 1144682.253746	 norm=38.897301
-1273461.690248		 1143082.690248	 norm=38.587563
-1273481.917835		 1143769.917835	 norm=37.907783
-1273520.718145		 1138799.718145	 norm=38.820098
-1273516.649253		 1144582.649253	 norm=39.484174
-1273546.819875		 1140744.819875	 norm=38.884444
-1273582.181628		 1143423.181628	 norm=38.613469
-1273616.672467		 1143605.672467	 norm=38.223030
-1273659.159852		 1140134.159852	 norm=38.457769
-1273670.646872		 1143446.646872	 norm=38.275318
-1273687.376187		 1142936.376187	 norm=38.678159
-1273739.898048		 1143278.898048	 norm=38.301436
-1273753.524735		 1141367.524735	 norm=38.457769
-1273775.426169		 1145248.426169	 norm=39.255573
-1273788.005381		 1143616.005381	 norm=39.408121
-1273799.017653		 1147002.017653	 norm=38.613469
-1273862.175918		 1136789.175918	 norm=38.961519
-1273873.061018		 1146131.061018	 norm=39.115214
-1273904.764555		 1137155.764555	 norm=38.013156
-1273963.615653		 1143642.615653	 norm=37.669616
-1273982.966837		 1143304.966837	 norm=38.613469
-1273995.855346		 1142603.855346	 norm=38.288379
-1274026.424598		 1145917.424598	 norm=38.301436
-1274047.982231		 1141114.982231	 norm=38.665230
-1274063.680398		 1141696.680398	 norm=39.610605
-1274058.447002		 1146678.447002	 norm=38.832976
-1274117.976250		 1135498.976250	 norm=39.127995
-1274161.275244		 1142498.275244	 norm=38.871583
-1274177.470442		 1143706.470442	 norm=38.183766
-1274223.477896		 1141929.477896	 norm=37.934153
-1274236.108446		 1144006.108446	 norm=39.191836
-1274269.672107		 1144654.672107	 norm=38.457769
-1274283.905765		 1143047.905765	 norm=39.484174
-1274301.574070		 1144524.574070	 norm=38.013156
-1274374.875625		 1147422.875625	 norm=37.107951
-1274391.384932		 1136832.384932	 norm=39.076847
-1274378.191993		 1146749.191993	 norm=38.639358
-1274416.876373		 1141543.876373	 norm=38.327536
-1274444.250266		 1142778.250266	 norm=38.444766
-1274473.572848		 1143039.572848	 norm=38.961519
-1274505.587688		 1142745.587688	 norm=39.306488
-1274507.817705		 1141900.817705	 norm=38.910153
-1274555.842123		 1145855.842123	 norm=38.845849
-1274577.093576		 1139056.093576	 norm=38.144462
-1274626.198378		 1142330.198378	 norm=38.379682
-1274632.268231		 1146357.268231	 norm=39.686270
-1274621.095950		 1145467.095950	 norm=39.446166
-1274675.529333		 1143173.529333	 norm=38.884444
-1274717.522950		 1143505.522950	 norm=38.431758
-1274729.845508		 1144494.845508	 norm=37.960506
-1274801.992750		 1143681.992750	 norm=37.934153
-1274811.878289		 1148534.878289	 norm=38.353618
-1274827.124386		 1145051.124386	 norm=38.678159
-1274835.985540		 1141231.985540	 norm=38.729833
-1274875.523985		 1141642.523985	 norm=38.522721
-1274903.675750		 1139218.675750	 norm=38.288379
-1274926.604358		 1147152.604358	 norm=38.742741
-1274951.593426		 1142235.593426	 norm=38.379682
-1274984.954463		 1147660.954463	 norm=39.076847
-1275001.262249		 1145338.262249	 norm=39.484174
-1275024.994107		 1143931.994107	 norm=38.871583
-1275055.733720		 1141649.733720	 norm=39.370039
-1275065.873049		 1145821.873049	 norm=39.242834
-1275114.588497		 1137609.588497	 norm=38.496753
-1275150.171303		 1143446.171303	 norm=39.153544
-1275164.602746		 1149334.602746	 norm=38.845849
-1275190.582629		 1144452.582629	 norm=38.832976
-1275200.191669		 1142469.191669	 norm=39.153544
-1275239.834979		 1140666.834979	 norm=39.597980
-1275248.269853		 1146276.269853	 norm=38.600518
-1275322.872252		 1143217.872252	 norm=38.613469
-1275305.258540		 1143957.258540	 norm=38.897301
-1275374.261545		 1146419.261545	 norm=38.483763
-1275380.547502		 1139994.547502	 norm=37.616486
-1275441.818857		 1149969.818857	 norm=37.828561
-1275452.721170		 1139001.721170	 norm=38.496753
-1275447.771295		 1147837.771295	 norm=38.897301
-1275470.704257		 1143450.704257	 norm=38.444766
-1275536.129296		 1144396.129296	 norm=38.405729
-1275534.263494		 1146426.263494	 norm=39.433488
-1275554.124131		 1143955.124131	 norm=38.118237
-1275591.404309		 1144732.404309	 norm=38.418745
-1275629.010432		 1143271.010432	 norm=38.444766
-1275646.069793		 1146319.069793	 norm=38.832976
-1275669.497521		 1144935.497521	 norm=39.331921
-1275682.665924		 1145454.665924	 norm=38.626416
-1275715.429851		 1145032.429851	 norm=39.012818
-1275745.627111		 1147057.627111	 norm=38.897301
-1275787.680296		 1142768.680296	 norm=38.639358
-1275797.659741		 1141736.659741	 norm=38.052595
-1275852.406869		 1147110.406869	 norm=38.509739
-1275841.253885		 1145658.253885	 norm=39.534795
-1275875.239491		 1148665.239491	 norm=38.353618
-1275920.636645		 1142160.636645	 norm=38.392708
-1275915.487590		 1150878.487590	 norm=39.648455
-1275942.942051		 1143413.942051	 norm=39.089641
-1275970.832839		 1146127.832839	 norm=39.648455
-1275998.674333		 1142197.674333	 norm=38.639358
-1276035.618186		 1147454.618186	 norm=38.262253
-1276068.621760		 1145480.621760	 norm=38.327536
-1276097.848366		 1142473.848366	 norm=38.444766
-1276121.863442		 1144077.863442	 norm=38.496753
-1276136.304251		 1146380.304251	 norm=38.704005
-1276167.727164		 1143300.727164	 norm=39.370039
-1276177.189686		 1146832.189686	 norm=38.535698
-1276246.495809		 1148827.495809	 norm=37.854986
-1276255.331272		 1145237.331272	 norm=38.948684
-1276264.444737		 1144289.444737	 norm=38.781439
-1276294.532788		 1145157.532788	 norm=39.711459
-1276284.698631		 1146360.698631	 norm=39.344631
-1276351.637389		 1147480.637389	 norm=38.691084
-1276381.521284		 1144332.521284	 norm=38.845849
-1276392.591798		 1144524.591798	 norm=38.457769
-1276432.375820		 1145536.375820	 norm=38.561639
-1276459.348813		 1147162.348813	 norm=38.144462
-1276483.418599		 1144444.418599	 norm=38.392708
-1276519.095658		 1143343.095658	 norm=38.961519
-1276518.847031		 1144077.847031	 norm=39.089641
-1276544.159863		 1148720.159863	 norm=38.431758
-1276593.281826		 1143111.281826	 norm=38.444766
-1276625.140260		 1145287.140260	 norm=38.366652
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-1311287.642818		 1180668.642818	 norm=37.403208
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-1315313.016972		 1183605.016972	 norm=37.161808
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-1315833.516685		 1184413.516685	 norm=38.000000
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-1316165.934373		 1183317.934373	 norm=37.669616
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-1316165.914573		 1182667.914573	 norm=38.209946
-1316203.421899		 1182532.421899	 norm=37.762415
-1316206.523076		 1186790.523076	 norm=38.000000
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-1316307.254636		 1185439.254636	 norm=38.301436
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-1316372.932132		 1187810.932132	 norm=37.161808
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-1316504.085690		 1182507.085690	 norm=37.682887
-1316523.670594		 1186300.670594	 norm=38.431758
-1316527.660049		 1186778.660049	 norm=39.166312
-1316534.443867		 1182440.443867	 norm=38.170669
-1316565.972337		 1186235.972337	 norm=38.987177
-1316578.994010		 1183529.994010	 norm=37.643060
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-1316631.369707		 1183654.369707	 norm=37.629775
-1316634.420547		 1182637.420547	 norm=39.076847
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-1316671.566805		 1184781.566805	 norm=38.600518
-1316686.828672		 1186368.828672	 norm=38.236109
-1316721.287987		 1182833.287987	 norm=37.376463
-1316752.657569		 1182951.657569	 norm=38.353618
-1316700.862022		 1186101.862022	 norm=38.948684
-1316751.382252		 1179978.382252	 norm=38.170669
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-1316815.122073		 1182969.122073	 norm=37.696154
-1316812.581864		 1185503.581864	 norm=38.807216
-1316819.090855		 1186212.090855	 norm=37.255872
-1316871.147712		 1180942.147712	 norm=36.905284
-1316907.170251		 1183453.170251	 norm=36.932371
-1316892.533433		 1184292.533433	 norm=37.920970
-1316893.588337		 1183354.588337	 norm=37.509999
-1316925.676613		 1186512.676613	 norm=38.013156
-1316942.247594		 1183357.247594	 norm=38.249183
-1316949.819781		 1188462.819781	 norm=38.470768
-1316971.908436		 1182810.908436	 norm=37.749172
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-1331222.846575		 1208413.846575	 norm=38.052595
-1331248.892451		 1198445.892451	 norm=38.170669
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-1331311.673991		 1203077.673991	 norm=37.828561
-1331304.581390		 1203891.581390	 norm=37.509999
-1331334.037995		 1206849.037995	 norm=37.907783
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-1331401.973716		 1204018.973716	 norm=36.878178
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-1331434.057548		 1207042.057548	 norm=37.336309
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-1331465.716210		 1202334.716210	 norm=37.920970
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-1331479.632993		 1201862.632993	 norm=38.091994
-1331497.257599		 1205489.257599	 norm=37.496667
-1331523.904594		 1203754.904594	 norm=36.986484
-1331531.882484		 1201503.882484	 norm=37.161808
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-1331541.885707		 1200954.885707	 norm=37.349699
-1331594.056933		 1203374.056933	 norm=37.215588
-1331569.897651		 1201727.897651	 norm=38.196859
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-1331625.484519		 1203941.484519	 norm=38.626416
-1331621.925315		 1202784.925315	 norm=37.828561
-1331646.387529		 1205374.387529	 norm=37.188708
-1331683.398271		 1204137.398271	 norm=38.366652
-1331676.022814		 1198718.022814	 norm=37.682887
-1331669.896770		 1203003.896770	 norm=38.639358
-1331693.084594		 1206139.084594	 norm=37.920970
-1331716.055107		 1207094.055107	 norm=37.416574
-1331748.592910		 1205776.592910	 norm=36.551334
-1331767.121284		 1207180.121284	 norm=36.221541
-1331759.149115		 1202907.149115	 norm=37.563280
-1331770.182788		 1202121.182788	 norm=37.456642
-1331791.592182		 1207135.592182	 norm=37.443290
-1331817.435266		 1202042.435266	 norm=37.389838
-1331823.899727		 1202137.899727	 norm=37.296112
-1331850.086750		 1203997.086750	 norm=38.039453
-1331834.951130		 1206749.951130	 norm=37.828561
-1331844.269078		 1202830.269078	 norm=37.496667
-1331870.917631		 1202920.917631	 norm=37.802116
-1331893.517945		 1202636.517945	 norm=36.918830
-1331909.753339		 1205236.753339	 norm=37.403208
-1331913.835968		 1201322.835968	 norm=37.815341
-1331930.799125		 1203259.799125	 norm=37.188708
-1331964.727955		 1209158.727955	 norm=36.851052
-1331961.243618		 1201721.243618	 norm=38.392708
-1331957.469200		 1202710.469200	 norm=38.249183
-1331968.251138		 1204608.251138	 norm=37.121422
-1332003.166251		 1203606.166251	 norm=37.841776
-1332002.914894		 1207740.914894	 norm=38.196859
-1332025.371310		 1201446.371310	 norm=37.696154
-1332031.810951		 1208809.810951	 norm=37.429935
-1332048.472701		 1201166.472701	 norm=36.796739
-1332071.403689		 1207860.403689	 norm=37.202150
-1332085.697087		 1206106.697087	 norm=37.469988
-1332082.264926		 1199970.264926	 norm=37.603191
-1332108.173148		 1200915.173148	 norm=36.932371
-1332133.961169		 1209936.961169	 norm=37.376463
-1332135.469239		 1199968.469239	 norm=37.509999
-1332161.547894		 1206799.547894	 norm=37.389838
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-1335306.273803		 1210560.273803	 norm=37.000000
-1335331.300002		 1205840.300002	 norm=37.483330
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-1335373.460510		 1203659.460510	 norm=36.304270
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-1335419.689963		 1210391.689963	 norm=37.735925
-1335376.030545		 1208750.030545	 norm=37.456642
-1335425.755028		 1207692.755028	 norm=37.148351
-1335438.024119		 1209539.024119	 norm=37.456642
-1335438.259161		 1205153.259161	 norm=38.366652
-1335451.399806		 1207773.399806	 norm=37.443290
-1335467.202212		 1208261.202212	 norm=38.196859
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-1335498.766860		 1206682.766860	 norm=37.576588
-1335508.141513		 1211303.141513	 norm=37.603191
-1335514.953864		 1210095.953864	 norm=37.735925
-1335525.114906		 1209160.114906	 norm=37.255872
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-1335573.374175		 1204692.374175	 norm=36.986484
-1335564.946275		 1208741.946275	 norm=37.509999
-1335589.681323		 1212230.681323	 norm=36.687873
-1335608.553742		 1207404.553742	 norm=37.389838
-1335599.252000		 1210114.252000	 norm=37.376463
-1335653.123137		 1209085.123137	 norm=36.455452
-1335644.003919		 1208301.003919	 norm=37.523326
-1335653.852014		 1208995.852014	 norm=37.854986
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-1335678.111471		 1205983.111471	 norm=37.576588
-1335710.295473		 1207038.295473	 norm=36.945906
-1335716.863620		 1211129.863620	 norm=37.589892
-1335742.270059		 1209564.270059	 norm=36.945906
-1335755.911591		 1211837.911591	 norm=37.121422
-1335775.634258		 1202805.634258	 norm=37.322915
-1335779.891161		 1208379.891161	 norm=36.660606
-1335799.937409		 1211537.937409	 norm=37.229021
-1335791.520466		 1208755.520466	 norm=36.166283
-1335842.008109		 1210881.008109	 norm=37.040518
-1335814.071196		 1207957.071196	 norm=38.470768
-1335818.595931		 1211101.595931	 norm=38.196859
-1335829.642317		 1210524.642317	 norm=37.854986
-1335868.490937		 1209462.490937	 norm=36.918830
-1335882.329620		 1210121.329620	 norm=37.188708
-1335904.878681		 1203629.878681	 norm=37.576588
-1335916.818967		 1211031.818967	 norm=36.891733
-1335917.756918		 1208436.756918	 norm=37.376463
-1335934.715245		 1212556.715245	 norm=36.932371
-1335958.860189		 1206021.860189	 norm=36.918830
-1335990.262335		 1207975.262335	 norm=35.496479
-1335975.320557		 1211280.320557	 norm=37.389838
-1335981.630394		 1209817.630394	 norm=37.854986
-1335966.686958		 1208011.686958	 norm=38.522721
-1335993.286088		 1205588.286088	 norm=37.121422
-1336027.716741		 1212382.716741	 norm=36.891733
-1336047.869295		 1205610.869295	 norm=35.874782
-1336067.917289		 1211333.917289	 norm=37.255872
-1336053.504327		 1207998.504327	 norm=38.223030
-1336050.387362		 1208721.387362	 norm=37.067506
-1336102.167580		 1212094.167580	 norm=36.972963
-1336108.078223		 1208366.078223	 norm=37.841776
-1336096.148418		 1207795.148418	 norm=37.496667
-1336130.336680		 1209852.336680	 norm=36.482873
-1336159.442882		 1207725.442882	 norm=36.428011
-1336177.949216		 1211536.949216	 norm=37.188708
-1336167.889759		 1207884.889759	 norm=36.755952
-1336199.419173		 1207624.419173	 norm=37.603191
-1336180.702253		 1206653.702253	 norm=37.854986
-1336192.457187		 1204313.457187	 norm=38.509739
-1336203.081645		 1211489.081645	 norm=37.175261
-1336255.874537		 1210289.874537	 norm=37.215588
-1336231.172052		 1211462.172052	 norm=38.209946
-1336223.648853		 1209167.648853	 norm=37.483330
-1336280.254354		 1206680.254354	 norm=37.443290
-1336273.658046		 1213422.658046	 norm=37.523326
-1336298.469163		 1206114.469163	 norm=36.510273
-1336338.965537		 1211718.965537	 norm=36.537652
-1336340.652601		 1210281.652601	 norm=36.932371
-1336346.138927		 1211338.138927	 norm=37.443290
-1336331.310332		 1212469.310332	 norm=37.722672
-1336345.354915		 1207166.354915	 norm=37.469988
-1336390.437980		 1210177.437980	 norm=36.905284
-1336385.115731		 1204433.115731	 norm=37.013511
-1336412.071411		 1212988.071411	 norm=37.443290
-1336409.325928		 1206771.325928	 norm=37.255872
-1336408.669139		 1208451.669139	 norm=37.735925
-1336450.298044		 1215765.298044	 norm=37.643060
-1336450.086688		 1206115.086688	 norm=37.643060
-1336439.697659		 1209910.697659	 norm=38.026307
-1336479.412393		 1208284.412393	 norm=37.403208
-1336483.949630		 1211054.949630	 norm=37.054015
-1336512.744125		 1209013.744125	 norm=36.905284
-1336526.476728		 1210474.476728	 norm=37.389838
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-1340114.955415		 1209549.955415	 norm=37.282704
-1340115.648068		 1214151.648068	 norm=36.701499
-1340147.708757		 1215110.708757	 norm=36.986484
-1340140.812003		 1209821.812003	 norm=37.134889
-1340183.496162		 1214661.496162	 norm=37.202150
-1340166.660479		 1213193.660479	 norm=37.509999
-1340186.863110		 1212361.863110	 norm=36.728735
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-1340269.139935		 1213215.139935	 norm=37.040518
-1340304.604034		 1215012.604034	 norm=36.619667
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-1340340.809980		 1217533.809980	 norm=37.483330
-1340347.080253		 1209436.080253	 norm=37.456642
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-1340371.898271		 1208653.898271	 norm=36.972963
-1340405.347913		 1214720.347913	 norm=36.428011
-1340412.726232		 1212858.726232	 norm=36.510273
-1340437.279987		 1211713.279987	 norm=36.359318
-1340446.368168		 1215074.368168	 norm=36.083237
-1340450.678384		 1212940.678384	 norm=37.013511
-1340469.677913		 1214489.677913	 norm=36.891733
-1340473.953872		 1217679.953872	 norm=37.416574
-1340467.972860		 1209018.972860	 norm=38.131352
-1340461.916028		 1216441.916028	 norm=38.170669
-1340476.713855		 1209870.713855	 norm=37.669616
-1340511.199537		 1213134.199537	 norm=37.788887
-1340506.393443		 1215692.393443	 norm=37.376463
-1340552.076356		 1213122.076356	 norm=36.769553
-1340546.012782		 1216466.012782	 norm=37.269290
-1340595.350426		 1208617.350426	 norm=37.054015
-1340557.535096		 1208817.535096	 norm=37.523326
-1340587.964359		 1214427.964359	 norm=37.000000
-1340605.298371		 1212770.298371	 norm=36.193922
-1340621.428554		 1208534.428554	 norm=37.616486
-1340603.871214		 1217111.871214	 norm=38.768544
-1340607.188349		 1212567.188349	 norm=37.429935
-1340648.382863		 1220157.382863	 norm=37.536649
-1340647.522165		 1209455.522165	 norm=37.161808
-1340683.469148		 1210218.469148	 norm=36.945906
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-1344353.540924		 1215700.540924	 norm=36.932371
-1344337.223633		 1213202.223633	 norm=37.013511
-1344349.246977		 1219449.246977	 norm=36.482873
-1344372.101922		 1215646.101922	 norm=37.000000
-1344395.021426		 1221202.021426	 norm=36.619667
-1344390.643223		 1216026.643223	 norm=37.403208
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-1344397.249400		 1214006.249400	 norm=36.523965
-1344434.258714		 1215800.258714	 norm=36.345564
-1344425.327804		 1216955.327804	 norm=37.496667
-1344427.799910		 1220681.799910	 norm=37.134889
-1344435.915403		 1213830.915403	 norm=37.403208
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-1344474.599082		 1212665.599082	 norm=37.269290
-1344492.368026		 1216976.368026	 norm=36.837481
-1344522.315286		 1218350.315286	 norm=36.523965
-1344538.015949		 1214882.015949	 norm=35.805028
-1344562.317929		 1214229.317929	 norm=36.619667
-1344539.384215		 1219663.384215	 norm=37.161808
-1344549.626746		 1216208.626746	 norm=36.496575
-1344552.556313		 1217343.556313	 norm=38.236109
-1344550.996335		 1217272.996335	 norm=37.429935
-1344573.770940		 1219596.770940	 norm=38.118237
-1344591.587091		 1217177.587091	 norm=37.188708
-1344609.113264		 1217693.113264	 norm=36.687873
-1344634.315958		 1216899.315958	 norm=37.322915
-1344632.336992		 1216746.336992	 norm=36.918830
-1344654.773156		 1218878.773156	 norm=37.376463
-1344659.859231		 1210234.859231	 norm=37.416574
-1344659.756956		 1215392.756956	 norm=37.775654
-1344655.352133		 1216587.352133	 norm=36.796739
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-1344726.831319		 1219345.831319	 norm=37.788887
-1344715.967762		 1218775.967762	 norm=37.094474
-1344749.734786		 1217606.734786	 norm=36.796739
-1344758.985416		 1214921.985416	 norm=37.094474
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-1344787.842703		 1217222.842703	 norm=37.960506
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-1344818.695082		 1214439.695082	 norm=37.229021
-1344811.611516		 1216754.611516	 norm=37.589892
-1344844.600535		 1217191.600535	 norm=36.660606
-1344869.327827		 1220552.327827	 norm=36.959437
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-1347222.201426		 1221510.201426	 norm=37.000000
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-1347390.381625		 1221427.381625	 norm=36.986484
-1347429.829697		 1221475.829697	 norm=36.138622
-1347429.637538		 1221054.637538	 norm=36.646964
-1347431.818000		 1222405.818000	 norm=36.318040
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-1347451.048499		 1225716.048499	 norm=37.215588
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-1347499.001319		 1215192.001319	 norm=36.482873
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-1347501.896634		 1219956.896634	 norm=37.000000
-1347538.663807		 1218750.663807	 norm=37.509999
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-1347566.987052		 1221974.987052	 norm=36.249138
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-1347598.484931		 1220485.484931	 norm=37.469988
-1347581.380060		 1221593.380060	 norm=37.656341
-1347624.338329		 1218765.338329	 norm=38.196859
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-1347653.218512		 1213605.218512	 norm=38.196859
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-1347696.251632		 1217050.251632	 norm=36.783148
-1347721.829008		 1219527.829008	 norm=36.359318
-1347738.393268		 1217832.393268	 norm=36.359318
-1347739.875606		 1223348.875606	 norm=37.134889
-1347758.721331		 1217677.721331	 norm=36.715120
-1347767.019093		 1221526.019093	 norm=37.828561
-1347755.974605		 1216282.974605	 norm=37.107951
-1347804.891985		 1224234.891985	 norm=36.742346
-1347785.421875		 1221914.421875	 norm=36.796739
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-1347826.312377		 1219740.312377	 norm=37.735925
-1347811.069132		 1221432.069132	 norm=37.749172
-1347836.310879		 1223073.310879	 norm=36.810325
-1347860.515735		 1223399.515735	 norm=37.121422
-1347864.716155		 1224793.716155	 norm=37.067506
-1347875.655909		 1218583.655909	 norm=37.603191
-1347876.145951		 1216982.145951	 norm=37.349699
-1347904.193319		 1220122.193319	 norm=36.742346
-1347927.084547		 1220650.084547	 norm=36.207734
-1347933.988196		 1219651.988196	 norm=36.918830
-1347929.017761		 1223362.017761	 norm=37.322915
-1347921.857935		 1224184.857935	 norm=37.696154
-1347942.334521		 1220244.334521	 norm=37.282704
-1347959.783109		 1220743.783109	 norm=36.537652
-1348004.055221		 1222856.055221	 norm=35.538711
-1348015.384384		 1221755.384384	 norm=36.728735
-1347985.156071		 1221925.156071	 norm=36.986484
-1348002.978826		 1217054.978826	 norm=36.837481
-1348023.002943		 1222098.002943	 norm=36.455452
-1348068.205184		 1221164.205184	 norm=36.565011
-1348046.274353		 1221099.274353	 norm=36.660606
-1348043.034524		 1223514.034524	 norm=36.905284
-1348079.462624		 1221612.462624	 norm=37.242449
-1348091.725503		 1224690.725503	 norm=36.414283
-1348096.404867		 1223765.404867	 norm=37.054015
-1348121.686536		 1223342.686536	 norm=37.054015
-1348121.243117		 1222901.243117	 norm=36.674242
-1348114.275273		 1218016.275273	 norm=37.215588
-1348132.747732		 1227919.747732	 norm=37.802116
-1348126.463220		 1214435.463220	 norm=36.482873
-1348181.590558		 1220839.590558	 norm=35.986108
-1348173.803749		 1217998.803749	 norm=36.972963
-1348198.987978		 1222619.987978	 norm=36.055513
-1348210.282589		 1222474.282589	 norm=36.565011
-1348227.474499		 1221555.474499	 norm=36.810325
-1348200.969097		 1217912.969097	 norm=37.973675
-1348212.431967		 1226465.431967	 norm=37.322915
-1348250.588602		 1222485.588602	 norm=37.682887
-1348225.876901		 1224449.876901	 norm=37.188708
-1348250.945733		 1221368.945733	 norm=37.429935
-1348268.557107		 1224757.557107	 norm=36.304270
-1348295.351681		 1220195.351681	 norm=36.414283
-1348318.027729		 1219091.027729	 norm=36.633318
-1348312.618292		 1226282.618292	 norm=36.318040
-1348326.571455		 1221580.571455	 norm=37.616486
-1348328.304326		 1222909.304326	 norm=38.078866
-1348297.821616		 1222012.821616	 norm=36.796739
-1348365.258801		 1217290.258801	 norm=36.428011
-1348374.528607		 1226688.528607	 norm=36.783148
-1348364.642182		 1223117.642182	 norm=36.221541
-1348406.698999		 1222530.698999	 norm=36.469165
-1348393.101472		 1221136.101472	 norm=37.229021
-1348396.034840		 1222931.034840	 norm=36.551334
-1348436.028405		 1223591.028405	 norm=36.373067
-1348425.634126		 1225307.634126	 norm=37.269290
-1348442.319635		 1222519.319635	 norm=37.403208
-1348443.083629		 1216111.083629	 norm=37.469988
-1348445.154372		 1229005.154372	 norm=37.363083
-1348461.629258		 1222129.629258	 norm=37.629775
-1348487.056127		 1223418.056127	 norm=37.282704
-1348493.081823		 1217139.081823	 norm=38.131352
-1348485.703673		 1222048.703673	 norm=37.735925
-1348520.793035		 1220735.793035	 norm=36.837481
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-1355352.249589		 1233337.249589	 norm=36.469165
-1355397.494850		 1225964.494850	 norm=36.823905
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-1358581.222714		 1243146.222714	 norm=37.296112
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-1361492.047797		 1242963.047797	 norm=37.013511
-1361493.181270		 1239897.181270	 norm=36.331804
-1361529.908854		 1243531.908854	 norm=35.972211
-1361528.224748		 1238885.224748	 norm=35.651087
-1361550.419913		 1239219.419913	 norm=36.138622
-1361541.179831		 1244170.179831	 norm=37.080992
-1361531.866007		 1235622.866007	 norm=37.080992
-1361540.219993		 1244854.219993	 norm=36.619667
-1361577.292385		 1240368.292385	 norm=35.958309
-1361578.133414		 1239664.133414	 norm=36.235342
-1361595.648655		 1239462.648655	 norm=36.097091
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-1361616.288823		 1235791.288823	 norm=36.633318
-1361622.464331		 1243726.464331	 norm=35.958309
-1361631.239196		 1242256.239196	 norm=37.656341
-1361622.728524		 1244512.728524	 norm=36.878178
-1361645.784015		 1240623.784015	 norm=36.276714
-1361667.414165		 1238822.414165	 norm=35.818989
-1361672.313298		 1243045.313298	 norm=36.013886
-1361695.202810		 1242871.202810	 norm=36.083237
-1361696.891054		 1240888.891054	 norm=35.623026
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-1364669.537350		 1248265.537350	 norm=36.000000
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-1374865.860377		 1260425.860377	 norm=36.331804
-1374893.134382		 1259606.134382	 norm=35.902646
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-1377093.903628		 1263063.903628	 norm=35.651087
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-1377099.729230		 1261713.729230	 norm=36.180105
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-1377152.616372		 1264589.616372	 norm=35.397740
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-1377166.739420		 1263030.739420	 norm=36.606010
-1377162.628806		 1265730.628806	 norm=37.309516
-1377174.721174		 1266810.721174	 norm=36.945906
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-1379223.300100		 1269527.300100	 norm=34.380227
-1379252.051656		 1265457.051656	 norm=34.161382
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-1379258.883580		 1261387.883580	 norm=35.185224
-1379244.302635		 1270521.302635	 norm=35.298725
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-1379268.729926		 1266115.729926	 norm=34.928498
-1379294.539085		 1268068.539085	 norm=34.452866
-1379304.856038		 1270900.856038	 norm=34.176015
-1379311.948109		 1266060.948109	 norm=35.791060
-1379269.100656		 1270105.100656	 norm=35.763109
-1379300.896346		 1271124.896346	 norm=36.083237
-1379287.935449		 1269117.935449	 norm=34.785054
-1379343.937985		 1262919.937985	 norm=34.554305
-1379343.238075		 1265295.238075	 norm=35.085610
-1379344.611699		 1270064.611699	 norm=34.928498
-1379353.524380		 1273599.524380	 norm=34.669872
-1379357.111195		 1264572.111195	 norm=34.655447
-1379351.577199		 1266804.577199	 norm=34.899857
-1379360.079588		 1262191.079588	 norm=35.114100
-1379387.323126		 1274816.323126	 norm=34.117444
-1379392.587441		 1265800.587441	 norm=34.828150
-1379377.116796		 1271604.116796	 norm=35.142567
-1379385.072868		 1267159.072868	 norm=35.028560
-1379384.177064		 1273015.177064	 norm=35.972211
-1379386.820842		 1265951.820842	 norm=34.799425
-1379424.369788		 1274356.369788	 norm=34.813790
-1379402.275337		 1265166.275337	 norm=35.284558
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-1381514.669728		 1270665.669728	 norm=35.227830
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-1381548.448630		 1277261.448630	 norm=33.674916
-1381560.237997		 1262806.237997	 norm=33.823069
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-1383539.850215		 1275031.850215	 norm=34.828150
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-1383546.279979		 1271639.279979	 norm=34.756294
-1383547.075847		 1270571.075847	 norm=35.213634
-1383545.315250		 1272460.315250	 norm=34.727511
-1383557.775879		 1272323.775879	 norm=34.612137
-1383569.514777		 1272794.514777	 norm=34.394767
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-1383575.291241		 1279263.291241	 norm=34.985711
-1383579.718815		 1272404.718815	 norm=35.028560
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-1390986.085177		 1286015.085177	 norm=34.000000
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-1392623.793765		 1284699.793765	 norm=34.885527
-1392634.850356		 1290379.850356	 norm=35.085610
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-1392613.344225		 1287815.344225	 norm=35.749126
-1392648.818341		 1282581.818341	 norm=35.014283
-1392637.483758		 1295011.483758	 norm=34.842503
-1392648.072646		 1285730.072646	 norm=35.679126
-1392639.140067		 1291165.140067	 norm=33.985291
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-1392676.882429		 1286727.882429	 norm=34.985711
-1392682.444912		 1287654.444912	 norm=35.608988
-1392674.987364		 1283698.987364	 norm=35.128336
-1392670.910848		 1291266.910848	 norm=34.785054
-1392705.267999		 1283816.267999	 norm=35.071356
-1392686.928561		 1290294.928561	 norm=35.114100
-1392722.154920		 1286433.154920	 norm=34.102786
-1392733.999549		 1293087.999549	 norm=34.132096
-1392716.875097		 1281267.875097	 norm=35.227830
-1392717.040850		 1288618.040850	 norm=33.481338
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-1394241.887559		 1292093.887559	 norm=34.568772
-1394260.372973		 1290298.372973	 norm=34.539832
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-1394289.557485		 1291742.557485	 norm=34.292856
-1394316.596916		 1288177.596916	 norm=34.190642
-1394289.230531		 1291512.230531	 norm=35.679126
-1394290.794045		 1285125.794045	 norm=35.383612
-1394298.016483		 1292542.016483	 norm=34.871192
-1394315.909502		 1286448.909502	 norm=35.580894
-1394319.775860		 1290161.775860	 norm=34.438351
-1394323.723006		 1289803.723006	 norm=34.985711
-1394317.922059		 1292032.922059	 norm=35.874782
-1394314.048856		 1288331.048856	 norm=36.441734
-1394321.208837		 1291478.208837	 norm=35.270384
-1394319.407848		 1292124.407848	 norm=35.256205
-1394347.244565		 1295048.244565	 norm=35.099858
-1394361.783574		 1287698.783574	 norm=35.213634
-1394350.463607		 1290567.463607	 norm=35.608988
-1394347.228822		 1286898.228822	 norm=34.641016
-1394375.311067		 1292958.311067	 norm=34.496377
-1394388.453231		 1284703.453231	 norm=35.057096
-1394361.105858		 1294772.105858	 norm=35.383612
-1394377.784737		 1287762.784737	 norm=35.142567
-1394391.582728		 1296648.582728	 norm=34.856850
-1394385.988800		 1284681.988800	 norm=35.355339
-1394391.799668		 1292408.799668	 norm=34.597688
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-1395601.185513		 1291035.185513	 norm=36.701499
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-1395726.774967		 1294898.774967	 norm=36.027767
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-1395813.025550		 1297650.025550	 norm=35.944402
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-1395876.459653		 1291631.459653	 norm=35.777088
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-1395899.903585		 1290605.903585	 norm=35.411862
-1395902.769511		 1290750.769511	 norm=35.284558
-1395915.245184		 1289709.245184	 norm=34.249088
-1395943.708034		 1289380.708034	 norm=34.249088
-1395939.327862		 1293682.327862	 norm=35.142567
-1395930.655861		 1292902.655861	 norm=34.612137
-1395933.348555		 1293042.348555	 norm=35.298725
-1395945.654728		 1290914.654728	 norm=34.684290
-1395960.435396		 1294703.435396	 norm=35.114100
-1395938.237902		 1293679.237902	 norm=35.042831
-1395978.198168		 1293625.198168	 norm=34.641016
-1395972.980030		 1288605.980030	 norm=34.957117
-1395964.357496		 1294928.357496	 norm=34.510868
-1395981.545638		 1287548.545638	 norm=35.270384
-1395980.496423		 1297905.496423	 norm=34.856850
-1395995.345595		 1288479.345595	 norm=35.128336
-1395989.305750		 1294712.305750	 norm=34.322005
-1396003.144610		 1290719.144610	 norm=34.957117
-1396005.616958		 1290346.616958	 norm=34.971417
-1396009.821572		 1294273.821572	 norm=35.000000
-1396004.708224		 1295543.708224	 norm=34.985711
-1396016.708798		 1287308.708798	 norm=35.496479
-1396000.249217		 1296950.249217	 norm=35.156792
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-1397497.386263		 1292985.386263	 norm=33.955854
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-1397527.795415		 1293885.795415	 norm=34.438351
-1397544.468821		 1293378.468821	 norm=34.871192
-1397500.500801		 1296344.500801	 norm=35.608988
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-1397541.136735		 1296495.136735	 norm=35.735137
-1397531.990042		 1294531.990042	 norm=35.114100
-1397556.619000		 1297897.619000	 norm=35.580894
-1397536.970061		 1297721.970061	 norm=36.262929
-1397544.858361		 1296394.858361	 norm=35.128336
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-1397562.581520		 1293078.581520	 norm=35.185224
-1397593.503386		 1289968.503386	 norm=33.615473
-1397594.369496		 1292239.369496	 norm=34.612137
-1397596.619730		 1295423.619730	 norm=34.914181
-1397566.670531		 1291850.670531	 norm=35.468296
-1397600.925407		 1298757.925407	 norm=34.842503
-1397588.163610		 1294650.163610	 norm=35.735137
-1397596.812311		 1292036.812311	 norm=35.735137
-1397609.655706		 1295239.655706	 norm=34.438351
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-1398933.827540		 1299645.827540	 norm=34.899857
-1398939.039983		 1292953.039983	 norm=34.871192
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-1398948.060726		 1298224.060726	 norm=35.156792
-1398957.033372		 1299803.033372	 norm=35.199432
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-1398964.291510		 1299406.291510	 norm=35.114100
-1398965.631036		 1298051.631036	 norm=34.525353
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-1398978.425690		 1290397.425690	 norm=36.000000
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-1399011.122456		 1292996.122456	 norm=34.481879
-1399016.583442		 1297239.583442	 norm=35.777088
-1399002.331694		 1298085.331694	 norm=35.341194
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-1399019.408799		 1304956.408799	 norm=35.425979
-1399016.367485		 1292864.367485	 norm=35.227830
-1399015.509725		 1300143.509725	 norm=35.580894
-1399025.745497		 1289446.745497	 norm=34.885527
-1399045.418834		 1301734.418834	 norm=34.785054
-1399050.970322		 1294098.970322	 norm=35.846897
-1399044.539590		 1297604.539590	 norm=34.669872
-1399057.973310		 1294457.973310	 norm=35.341194
-1399070.811993		 1297742.811993	 norm=34.510868
-1399057.511726		 1300398.511726	 norm=34.568772
-1399087.968187		 1295125.968187	 norm=35.397740
-1399044.619503		 1298689.619503	 norm=35.594943
-1399071.633237		 1295166.633237	 norm=36.414283
-1399043.318284		 1299458.318284	 norm=34.914181
-1399096.377382		 1296047.377382	 norm=34.568772
-1399107.147131		 1300598.147131	 norm=34.263683
-1399105.397987		 1297254.397987	 norm=35.425979
-1399077.463986		 1296860.463986	 norm=35.693137
-1399108.010685		 1298920.010685	 norm=35.524639
-1399083.697038		 1300638.697038	 norm=35.213634
-1399113.555536		 1300995.555536	 norm=35.552778
-1399117.771643		 1297331.771643	 norm=34.510868
-1399121.646429		 1298681.646429	 norm=35.888717
-1399129.606561		 1289188.606561	 norm=34.176015
-1399158.975124		 1299753.975124	 norm=34.088121
-1399140.450750		 1293239.450750	 norm=35.566838
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-1402088.514688		 1306900.514688	 norm=34.641016
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-1411084.143267		 1320917.143267	 norm=34.554305
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-1411835.090546		 1321684.090546	 norm=33.421550
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-1411838.556148		 1319712.556148	 norm=33.749074
-1411855.662384		 1321677.662384	 norm=33.286634
-1411854.119903		 1323407.119903	 norm=32.908965
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-1411902.067578		 1321144.067578	 norm=32.062439
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-1411890.905370		 1318617.905370	 norm=34.409301
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-1411900.595666		 1321122.595666	 norm=33.241540
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-1411906.403651		 1319138.403651	 norm=34.698703
-1411902.966015		 1318445.966015	 norm=33.481338
-1411931.721456		 1321691.721456	 norm=33.555923
-1411913.077088		 1322140.077088	 norm=33.120990
-1411954.074127		 1324426.074127	 norm=33.585711
-1411911.474234		 1321455.474234	 norm=34.161382
-1411935.465276		 1317590.465276	 norm=33.105891
-1411925.207400		 1320657.207400	 norm=33.704599
-1411949.805183		 1324204.805183	 norm=33.660065
-1411955.042193		 1318021.042193	 norm=33.645208
-1411945.894655		 1323266.894655	 norm=33.151169
-1411945.427723		 1320117.427723	 norm=33.466401
-1411974.938387		 1319111.938387	 norm=33.211444
-1411968.564890		 1322345.564890	 norm=32.969683
-1411972.721419		 1319499.721419	 norm=33.211444
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-1411939.304536		 1320807.304536	 norm=33.749074
-1411995.866175		 1319657.866175	 norm=33.166248
-1411980.485121		 1319629.485121	 norm=32.924155
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-1411995.798695		 1321469.798695	 norm=33.030289
-1411994.315307		 1321109.315307	 norm=32.419130
-1412005.827812		 1319401.827812	 norm=33.271610
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-1411984.739270		 1322636.739270	 norm=35.411862
-1411980.543413		 1321976.543413	 norm=34.102786
-1411997.929532		 1321649.929532	 norm=33.316662
-1412005.550791		 1324053.550791	 norm=33.570821
-1412018.091349		 1317813.091349	 norm=33.271610
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-1412026.590978		 1319047.590978	 norm=32.848135
-1412027.280692		 1324367.280692	 norm=34.029399
-1412018.230674		 1319391.230674	 norm=34.409301
-1412017.567106		 1321502.567106	 norm=34.014703
-1412014.759815		 1317193.759815	 norm=34.146742
-1412040.890296		 1322062.890296	 norm=33.555923
-1412030.133660		 1320774.133660	 norm=34.481879
-1412035.506457		 1317768.506457	 norm=33.734256
-1412031.848191		 1319226.848191	 norm=33.704599
-1412064.069797		 1320624.069797	 norm=33.211444
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-1412063.556413		 1321506.556413	 norm=32.726136
-1412069.863570		 1322811.863570	 norm=33.060551
-1412059.901580		 1314675.901580	 norm=33.316662
-1412081.073235		 1323047.073235	 norm=33.852622
-1412069.822473		 1318244.822473	 norm=33.570821
-1412063.858561		 1323422.858561	 norm=33.060551
-1412099.328756		 1323242.328756	 norm=33.391616
-1412082.377147		 1325504.377147	 norm=34.336569
-1412079.588509		 1316233.588509	 norm=33.749074
-1412081.653386		 1320930.653386	 norm=33.136083
-1412098.095272		 1321469.095272	 norm=33.630343
-1412107.054658		 1321109.054658	 norm=33.704599
-1412079.747008		 1318990.747008	 norm=34.000000
-1412099.769059		 1323651.769059	 norm=33.526109
-1412116.762415		 1322074.762415	 norm=32.939338
-1412111.142483		 1321005.142483	 norm=33.436507
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-1412119.310400		 1316405.310400	 norm=33.541020
-1412127.168183		 1323671.168183	 norm=34.263683
-1412116.196108		 1325843.196108	 norm=33.719431
-1412130.683884		 1322603.683884	 norm=33.793490
-1412119.333502		 1321040.333502	 norm=34.394767
-1412116.529621		 1322135.529621	 norm=33.926391
-1412139.716153		 1322485.716153	 norm=33.451457
-1412151.199972		 1316797.199972	 norm=32.802439
-1412157.255974		 1319759.255974	 norm=33.555923
-1412168.949040		 1313788.949040	 norm=33.166248
-1412158.535592		 1321537.535592	 norm=32.939338
-1412166.599557		 1320565.599557	 norm=33.045423
-1412172.494996		 1324231.494996	 norm=32.434549
-1412180.434145		 1320160.434145	 norm=33.511192
-1412167.769765		 1321027.769765	 norm=32.186954
-1412208.509353		 1316172.509353	 norm=32.202484
-1412200.356667		 1321212.356667	 norm=32.802439
-1412191.326552		 1323237.326552	 norm=33.867388
-1412167.411685		 1317928.411685	 norm=33.749074
-1412204.953659		 1318143.953659	 norm=32.756679
-1412195.924149		 1325449.924149	 norm=33.793490
-1412174.907028		 1316312.907028	 norm=34.044089
-1412194.964453		 1322616.964453	 norm=34.161382
-1412184.707220		 1319330.707220	 norm=34.799425
-1412183.832176		 1318138.832176	 norm=34.539832
-1412189.990512		 1323649.990512	 norm=34.713110
-1412184.984415		 1317555.984415	 norm=34.132096
-1412210.364248		 1321017.364248	 norm=34.117444
-1412201.321294		 1316221.321294	 norm=33.808283
-1412220.654506		 1323134.654506	 norm=32.908965
-1412241.552957		 1326575.552957	 norm=33.852622
-1412230.656677		 1325561.656677	 norm=33.241540
-1412252.446322		 1315046.446322	 norm=33.615473
-1412242.506355		 1322549.506355	 norm=32.465366
-1412242.785497		 1323398.785497	 norm=33.256578
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\ No newline at end of file
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+1068721.465486		 1182997.672334	 norm=72.463784
+1068007.145043		 1182491.315871	 norm=72.456884
+1067276.643912		 1181760.814740	 norm=72.546537
+1074235.054689		 1186951.531690	 norm=73.389373
+1078754.930027		 1194070.956774	 norm=72.083285
+1079485.272425		 1193449.533303	 norm=72.594766
+1084229.822057		 1197466.209006	 norm=71.958321
+1085829.100227		 1199481.415136	 norm=73.171033
+1081161.307139		 1199804.757561	 norm=73.409809
+1083246.866264		 1199810.676889	 norm=72.663608
+1088748.993936		 1209264.120175	 norm=72.069411
+1094516.565721		 1202033.943229	 norm=71.084457
+1096419.520917		 1201129.384699	 norm=72.629195
+1094037.338532		 1214760.428751	 norm=73.020545
+1096829.565488		 1205802.690853	 norm=71.860977
+1096715.651288		 1216398.921609	 norm=72.704883
+1104858.812507		 1212272.208025	 norm=73.511904
+1102009.729886		 1213686.386988	 norm=71.456280
+1102075.405772		 1209488.801290	 norm=72.725511
+1109696.700771		 1219605.664045	 norm=72.773622
+1101439.930120		 1226634.245902	 norm=72.807967
+1107836.600219		 1222632.717017	 norm=72.152616
+1107140.449159		 1229943.179175	 norm=73.150530
+1107070.089718		 1224361.774272	 norm=72.856022
+1105569.538160		 1222653.258735	 norm=73.109507
+1112534.908200		 1226499.169079	 norm=73.307571
+1117282.139891		 1226879.157196	 norm=72.187256
+1114550.869902		 1231738.572466	 norm=73.321211
+1121576.242330		 1231069.277645	 norm=73.783467
+1114981.403795		 1232792.998299	 norm=73.573093
+1110449.004387		 1227636.706951	 norm=73.790243
+1115546.339443		 1232630.060017	 norm=71.658914
+1123510.555977		 1248184.961811	 norm=73.205191
+1123922.893602		 1235495.568715	 norm=74.531872
+1120594.729662		 1233103.242682	 norm=73.171033
+1115337.542654		 1247082.723798	 norm=73.130021
+1120363.887614		 1242334.761711	 norm=74.242845
+1118612.830582		 1255245.165248	 norm=73.088987
+1126137.451831		 1238022.072913	 norm=71.210954
+1130120.877967		 1247516.544511	 norm=73.620649
+1131336.348297		 1251331.564588	 norm=72.663608
+1129640.909648		 1245268.882364	 norm=73.218850
+1125572.284761		 1268443.538819	 norm=74.484898
+1130201.562133		 1250716.688373	 norm=73.837660
+1133646.212567		 1246986.581506	 n
\ No newline at end of file
diff --git a/obj/static/O.linux.x86_64.gnu.opt/relax_lagr.o b/obj/static/O.linux.x86_64.gnu.opt/relax_lagr.o
index 4df197d84fd41e0558b6da465fe5829ae4137d26..fe4ab442439940f138d98ca2ca409882b55408e1 100644
Binary files a/obj/static/O.linux.x86_64.gnu.opt/relax_lagr.o and b/obj/static/O.linux.x86_64.gnu.opt/relax_lagr.o differ
diff --git a/src/relax_lagr.cpp b/src/relax_lagr.cpp
index 8d52b91dd1bd622bdaafa892c7e0762f7eb70329..8d074fb85c9d221dd85bdede7ba22f294706754a 100644
--- a/src/relax_lagr.cpp
+++ b/src/relax_lagr.cpp
@@ -701,8 +701,8 @@ SCIP_DECL_RELAXEXEC(relaxExeclagr)
    int id;
 
 
-   // *lowerbound = -SCIPinfinity(scip);
-   // *result = SCIP_DIDNOTRUN;
+   *lowerbound = -SCIPinfinity(scip);
+   *result = SCIP_DIDNOTRUN;
 
    /* we can only run if none of the present constraints expect their variables to be binary or integer during transformation */
    conss = SCIPgetConss(scip);
@@ -1111,7 +1111,7 @@ SCIP_DECL_RELAXEXEC(relaxExeclagr)
       // SCIP_CALL(SCIPprintBestSol(relaxscip,solutions,FALSE));
 
       /*store the solution in solvals so we can later export it to subgradient function*/
-      SCIP_Real lowerbound=0;
+      *lowerbound=0;
       SCIPgetSolVals(relaxscip,bestsol,nvars,vars,solvals);
       //SCIP_CALL(SCIPprintSol(relaxscip,bestsol,dual,FALSE));
 
@@ -1169,10 +1169,10 @@ SCIP_DECL_RELAXEXEC(relaxExeclagr)
          SCIP_CALL(SCIPchgVarObj(relaxscip,var,weights[v]));       
          
          // fprintf(variableinfo,"(%s,%f,%f)->%f\n",SCIPvarGetName(var),solvals[v],SCIPvarGetObj(var), weights[v]);
-         lowerbound += solvals[v]*weights[v]; 
+         *lowerbound += solvals[v]*weights[v]; 
       }
-      fprintf(dual,"dualbound = %f, lowerbound=%f, norm of subgrad %f\t",SCIPgetPrimalbound(relaxscip),lowerbound, getnorm(subgradients,nSlotConss));
-      fprintf(lower,"\t %f",lowerbound);
+      fprintf(dual,"dualbound = %f, lowerbound=%f, norm of subgrad %f\t",SCIPgetPrimalbound(relaxscip),&lowerbound, getnorm(subgradients,nSlotConss));
+      fprintf(lower,"\t %f",&lowerbound);
 
 
       
@@ -1187,19 +1187,19 @@ SCIP_DECL_RELAXEXEC(relaxExeclagr)
       // }
       // else{stepsize=1;}
       if(progress<0.1){stepsize=stepsize/iter; stopping++;}
-      stepsize = 1;
+      stepsize = 103.98198985280004;
 
       // if(iter<2*int(maxiter/3)){stepsize = 55;}
       // else if(2*int(maxiter/3)<=iter<=4*int(maxiter/5)){stepsize=75;}
       // else{stepsize=40;}
-      if(stopping==10){ break;}
-      fprintf(dual,"dualbound = %f, lowerbound=%f, norm of subgrad %f\t stepsize= %f \n" ,SCIPgetPrimalbound(relaxscip),lowerbound, getnorm(subgradients,nSlotConss), stepsize);
+      if(stopping==maxiter/4){ break;}
+      fprintf(dual,"dualbound = %f, lowerbound=%f, norm of subgrad %f\t stepsize= %f \n" ,SCIPgetPrimalbound(relaxscip),&lowerbound, getnorm(subgradients,nSlotConss), stepsize);
       change = SCIPgetPrimalbound(relaxscip);
       fprintf(variableinfo,"%f\n",solvals[nvars]);
       fprintf(lower,"\t norm=%f\n",getnorm(subgradients,nSlotConss));
       SCIP_CALL( SCIPfreeTransform(relaxscip) );
       // fprintf(solutions, "lowerbound = %f \n ", lowerbound);
-      //SCIPinfoMessage(relaxscip, TimeCollector, "\n subgradients found after (sec) : %f\n, lowerbound = %f \n", SCIPgetClockTime(relaxscip, varslottime),lowerbound);
+      //SCIPinfoMessage(relaxscip, TimeCollector, "\n subgradients found after (sec) : %f\n, &lowerbound = %f \n", SCIPgetClockTime(relaxscip, varslottime),&lowerbound);
       
       //add back the sum of the duals we subtracted from the main obj function
 
@@ -1233,7 +1233,7 @@ SCIP_DECL_RELAXEXEC(relaxExeclagr)
    relaxval = solvals[nvars];
    SCIPdebugMessage("relaxation bound = %e status = %d\n", relaxval, SCIPgetStatus(relaxscip));
    
-   if( SCIPgetStatus(relaxscip) == SCIP_STATUS_OPTIMAL )
+   if( SCIPisRelaxSolValid(scip) == 1 )
    {
       /* store relaxation solution in original SCIP if it improves the best relaxation solution thus far */
       if( (! SCIPisRelaxSolValid(scip)) || SCIPisGT(scip, relaxval, SCIPgetRelaxSolObj(scip)) )
@@ -1265,7 +1265,7 @@ SCIP_DECL_RELAXEXEC(relaxExeclagr)
       *lowerbound = relaxval;
       *result = SCIP_SUCCESS;
    }
-   else if( SCIPgetStatus(relaxscip) == SCIP_STATUS_INFEASIBLE )
+   else if( SCIPisRelaxSolValid(scip) == 0 )
    {
       SCIPdebugMsg(scip, "cutting off node\n");
       *result = SCIP_CUTOFF;
diff --git a/time.txt b/time.txt
index 7d44f928c92f35948c32be254d2f274a8e213ea9..f69cde45d448658aca4048d7b3d938f2886137fe 100644
--- a/time.txt
+++ b/time.txt
@@ -1,18991 +1,223 @@
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-1.947082
-3.632711
-5.398174
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diff --git a/var.txt b/var.txt
index fc6161196f3009dd1d935a991f2b9c71aa999bda..637dffcfcfbf7e890120a4e63b3d230892592466 100644
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