diff --git a/AfterPreProcessing.txt b/AfterPreProcessing.txt
index e69de29bb2d1d6434b8b29ae775ad8c2e48c5391..f543869fe2ef85e9d7d4e749c7ae9d52c7b18237 100644
--- a/AfterPreProcessing.txt
+++ b/AfterPreProcessing.txt
@@ -0,0 +1,1117 @@
+\ SCIP STATISTICS
+\   Problem name     : data/6f4s.lp_relaxscip
+\   Variables        : 54 (54 binary, 0 integer, 0 implicit integer, 0 continuous)
+\   Constraints      : 6
+Minimize
+ Obj: +1 t_x_{1}_{0} +15 t_x_{1}_{15} +30 t_x_{1}_{30} +45 t_x_{1}_{45} +60 t_x_{1}_{60} +75 t_x_{1}_{75}
+      +90 t_x_{1}_{90} +105 t_x_{1}_{105} +120 t_x_{1}_{120} +15 t_x_{2}_{15} +30 t_x_{2}_{30} +45 t_x_{2}_{45}
+      +60 t_x_{2}_{60} +75 t_x_{2}_{75} +90 t_x_{2}_{90} +105 t_x_{2}_{105} +120 t_x_{2}_{120} +15 t_x_{3}_{15}
+      +30 t_x_{3}_{30} +45 t_x_{3}_{45} +60 t_x_{3}_{60} +75 t_x_{3}_{75} +90 t_x_{3}_{90} +105 t_x_{3}_{105}
+      +120 t_x_{3}_{120} +15 t_x_{4}_{15} +30 t_x_{4}_{30} +45 t_x_{4}_{45} +60 t_x_{4}_{60} +75 t_x_{4}_{75}
+      +90 t_x_{4}_{90} +105 t_x_{4}_{105} +120 t_x_{4}_{120} +15 t_x_{5}_{15} +30 t_x_{5}_{30} +45 t_x_{5}_{45}
+      +60 t_x_{5}_{60} +75 t_x_{5}_{75} +90 t_x_{5}_{90} +105 t_x_{5}_{105} +120 t_x_{5}_{120} +15 t_x_{6}_{15}
+      +30 t_x_{6}_{30} +45 t_x_{6}_{45} +60 t_x_{6}_{60} +75 t_x_{6}_{75} +90 t_x_{6}_{90} +105 t_x_{6}_{105}
+      +120 t_x_{6}_{120}
+Subject to
+ F_6: +1 t_x_{6}_{0} +1 t_x_{6}_{15} +1 t_x_{6}_{30} +1 t_x_{6}_{45} +1 t_x_{6}_{60} +1 t_x_{6}_{75} +1 t_x_{6}_{90}
+  +1 t_x_{6}_{105} +1 t_x_{6}_{120} = +1
+ F_5: +1 t_x_{5}_{0} +1 t_x_{5}_{15} +1 t_x_{5}_{30} +1 t_x_{5}_{45} +1 t_x_{5}_{60} +1 t_x_{5}_{75} +1 t_x_{5}_{90}
+  +1 t_x_{5}_{105} +1 t_x_{5}_{120} = +1
+ F_4: +1 t_x_{4}_{0} +1 t_x_{4}_{15} +1 t_x_{4}_{30} +1 t_x_{4}_{45} +1 t_x_{4}_{60} +1 t_x_{4}_{75} +1 t_x_{4}_{90}
+  +1 t_x_{4}_{105} +1 t_x_{4}_{120} = +1
+ F_3: +1 t_x_{3}_{0} +1 t_x_{3}_{15} +1 t_x_{3}_{30} +1 t_x_{3}_{45} +1 t_x_{3}_{60} +1 t_x_{3}_{75} +1 t_x_{3}_{90}
+  +1 t_x_{3}_{105} +1 t_x_{3}_{120} = +1
+ F_2: +1 t_x_{2}_{0} +1 t_x_{2}_{15} +1 t_x_{2}_{30} +1 t_x_{2}_{45} +1 t_x_{2}_{60} +1 t_x_{2}_{75} +1 t_x_{2}_{90}
+  +1 t_x_{2}_{105} +1 t_x_{2}_{120} = +1
+ F_1: +1 t_x_{1}_{0} +1 t_x_{1}_{15} +1 t_x_{1}_{30} +1 t_x_{1}_{45} +1 t_x_{1}_{60} +1 t_x_{1}_{75} +1 t_x_{1}_{90}
+  +1 t_x_{1}_{105} +1 t_x_{1}_{120} = +1
+Bounds
+ 0 <= t_x_{1}_{0} <= 1
+ 0 <= t_x_{1}_{15} <= 1
+ 0 <= t_x_{1}_{30} <= 1
+ 0 <= t_x_{1}_{45} <= 1
+ 0 <= t_x_{1}_{60} <= 1
+ 0 <= t_x_{1}_{75} <= 1
+ 0 <= t_x_{1}_{90} <= 1
+ 0 <= t_x_{1}_{105} <= 1
+ 0 <= t_x_{1}_{120} <= 1
+ 0 <= t_x_{2}_{0} <= 1
+ 0 <= t_x_{2}_{15} <= 1
+ 0 <= t_x_{2}_{30} <= 1
+ 0 <= t_x_{2}_{45} <= 1
+ 0 <= t_x_{2}_{60} <= 1
+ 0 <= t_x_{2}_{75} <= 1
+ 0 <= t_x_{2}_{90} <= 1
+ 0 <= t_x_{2}_{105} <= 1
+ 0 <= t_x_{2}_{120} <= 1
+ 0 <= t_x_{3}_{0} <= 1
+ 0 <= t_x_{3}_{15} <= 1
+ 0 <= t_x_{3}_{30} <= 1
+ 0 <= t_x_{3}_{45} <= 1
+ 0 <= t_x_{3}_{60} <= 1
+ 0 <= t_x_{3}_{75} <= 1
+ 0 <= t_x_{3}_{90} <= 1
+ 0 <= t_x_{3}_{105} <= 1
+ 0 <= t_x_{3}_{120} <= 1
+ 0 <= t_x_{4}_{0} <= 1
+ 0 <= t_x_{4}_{15} <= 1
+ 0 <= t_x_{4}_{30} <= 1
+ 0 <= t_x_{4}_{45} <= 1
+ 0 <= t_x_{4}_{60} <= 1
+ 0 <= t_x_{4}_{75} <= 1
+ 0 <= t_x_{4}_{90} <= 1
+ 0 <= t_x_{4}_{105} <= 1
+ 0 <= t_x_{4}_{120} <= 1
+ 0 <= t_x_{5}_{0} <= 1
+ 0 <= t_x_{5}_{15} <= 1
+ 0 <= t_x_{5}_{30} <= 1
+ 0 <= t_x_{5}_{45} <= 1
+ 0 <= t_x_{5}_{60} <= 1
+ 0 <= t_x_{5}_{75} <= 1
+ 0 <= t_x_{5}_{90} <= 1
+ 0 <= t_x_{5}_{105} <= 1
+ 0 <= t_x_{5}_{120} <= 1
+ 0 <= t_x_{6}_{0} <= 1
+ 0 <= t_x_{6}_{15} <= 1
+ 0 <= t_x_{6}_{30} <= 1
+ 0 <= t_x_{6}_{45} <= 1
+ 0 <= t_x_{6}_{60} <= 1
+ 0 <= t_x_{6}_{75} <= 1
+ 0 <= t_x_{6}_{90} <= 1
+ 0 <= t_x_{6}_{105} <= 1
+ 0 <= t_x_{6}_{120} <= 1
+Binaries
+ t_x_{1}_{0} t_x_{1}_{15} t_x_{1}_{30} t_x_{1}_{45} t_x_{1}_{60} t_x_{1}_{75} t_x_{1}_{90} t_x_{1}_{105}
+ t_x_{1}_{120} t_x_{2}_{0} t_x_{2}_{15} t_x_{2}_{30} t_x_{2}_{45} t_x_{2}_{60} t_x_{2}_{75} t_x_{2}_{90}
+ t_x_{2}_{105} t_x_{2}_{120} t_x_{3}_{0} t_x_{3}_{15} t_x_{3}_{30} t_x_{3}_{45} t_x_{3}_{60} t_x_{3}_{75}
+ t_x_{3}_{90} t_x_{3}_{105} t_x_{3}_{120} t_x_{4}_{0} t_x_{4}_{15} t_x_{4}_{30} t_x_{4}_{45} t_x_{4}_{60}
+ t_x_{4}_{75} t_x_{4}_{90} t_x_{4}_{105} t_x_{4}_{120} t_x_{5}_{0} t_x_{5}_{15} t_x_{5}_{30} t_x_{5}_{45}
+ t_x_{5}_{60} t_x_{5}_{75} t_x_{5}_{90} t_x_{5}_{105} t_x_{5}_{120} t_x_{6}_{0} t_x_{6}_{15} t_x_{6}_{30}
+ t_x_{6}_{45} t_x_{6}_{60} t_x_{6}_{75} t_x_{6}_{90} t_x_{6}_{105} t_x_{6}_{120}
+End
+\ SCIP STATISTICS
+\   Problem name     : data/6f4s.lp_relaxscip
+\   Variables        : 54 (54 binary, 0 integer, 0 implicit integer, 0 continuous)
+\   Constraints      : 6
+Minimize
+ Obj: +25 t_x_{1}_{0} +15 t_x_{1}_{15} +30 t_x_{1}_{30} +45 t_x_{1}_{45} +60 t_x_{1}_{60} +75 t_x_{1}_{75}
+      +90 t_x_{1}_{90} +105 t_x_{1}_{105} +120 t_x_{1}_{120} +24 t_x_{2}_{0} +15 t_x_{2}_{15} +30 t_x_{2}_{30}
+      +45 t_x_{2}_{45} +60 t_x_{2}_{60} +75 t_x_{2}_{75} +90 t_x_{2}_{90} +105 t_x_{2}_{105} +120 t_x_{2}_{120}
+      +32 t_x_{3}_{0} +15 t_x_{3}_{15} +30 t_x_{3}_{30} +45 t_x_{3}_{45} +60 t_x_{3}_{60} +75 t_x_{3}_{75}
+      +90 t_x_{3}_{90} +105 t_x_{3}_{105} +120 t_x_{3}_{120} +32 t_x_{4}_{0} +15 t_x_{4}_{15} +30 t_x_{4}_{30}
+      +45 t_x_{4}_{45} +60 t_x_{4}_{60} +75 t_x_{4}_{75} +90 t_x_{4}_{90} +105 t_x_{4}_{105} +120 t_x_{4}_{120}
+      +32 t_x_{5}_{0} +15 t_x_{5}_{15} +30 t_x_{5}_{30} +45 t_x_{5}_{45} +60 t_x_{5}_{60} +75 t_x_{5}_{75}
+      +90 t_x_{5}_{90} +105 t_x_{5}_{105} +120 t_x_{5}_{120} +16 t_x_{6}_{0} +15 t_x_{6}_{15} +30 t_x_{6}_{30}
+      +45 t_x_{6}_{45} +60 t_x_{6}_{60} +75 t_x_{6}_{75} +90 t_x_{6}_{90} +105 t_x_{6}_{105} +120 t_x_{6}_{120}
+ -56
+Subject to
+ F_6: +1 t_x_{6}_{0} +1 t_x_{6}_{15} +1 t_x_{6}_{30} +1 t_x_{6}_{45} +1 t_x_{6}_{60} +1 t_x_{6}_{75} +1 t_x_{6}_{90}
+  +1 t_x_{6}_{105} +1 t_x_{6}_{120} = +1
+ F_5: +1 t_x_{5}_{0} +1 t_x_{5}_{15} +1 t_x_{5}_{30} +1 t_x_{5}_{45} +1 t_x_{5}_{60} +1 t_x_{5}_{75} +1 t_x_{5}_{90}
+  +1 t_x_{5}_{105} +1 t_x_{5}_{120} = +1
+ F_4: +1 t_x_{4}_{0} +1 t_x_{4}_{15} +1 t_x_{4}_{30} +1 t_x_{4}_{45} +1 t_x_{4}_{60} +1 t_x_{4}_{75} +1 t_x_{4}_{90}
+  +1 t_x_{4}_{105} +1 t_x_{4}_{120} = +1
+ F_3: +1 t_x_{3}_{0} +1 t_x_{3}_{15} +1 t_x_{3}_{30} +1 t_x_{3}_{45} +1 t_x_{3}_{60} +1 t_x_{3}_{75} +1 t_x_{3}_{90}
+  +1 t_x_{3}_{105} +1 t_x_{3}_{120} = +1
+ F_2: +1 t_x_{2}_{0} +1 t_x_{2}_{15} +1 t_x_{2}_{30} +1 t_x_{2}_{45} +1 t_x_{2}_{60} +1 t_x_{2}_{75} +1 t_x_{2}_{90}
+  +1 t_x_{2}_{105} +1 t_x_{2}_{120} = +1
+ F_1: +1 t_x_{1}_{0} +1 t_x_{1}_{15} +1 t_x_{1}_{30} +1 t_x_{1}_{45} +1 t_x_{1}_{60} +1 t_x_{1}_{75} +1 t_x_{1}_{90}
+  +1 t_x_{1}_{105} +1 t_x_{1}_{120} = +1
+Bounds
+ 0 <= t_x_{1}_{0} <= 1
+ 0 <= t_x_{1}_{15} <= 1
+ 0 <= t_x_{1}_{30} <= 1
+ 0 <= t_x_{1}_{45} <= 1
+ 0 <= t_x_{1}_{60} <= 1
+ 0 <= t_x_{1}_{75} <= 1
+ 0 <= t_x_{1}_{90} <= 1
+ 0 <= t_x_{1}_{105} <= 1
+ 0 <= t_x_{1}_{120} <= 1
+ 0 <= t_x_{2}_{0} <= 1
+ 0 <= t_x_{2}_{15} <= 1
+ 0 <= t_x_{2}_{30} <= 1
+ 0 <= t_x_{2}_{45} <= 1
+ 0 <= t_x_{2}_{60} <= 1
+ 0 <= t_x_{2}_{75} <= 1
+ 0 <= t_x_{2}_{90} <= 1
+ 0 <= t_x_{2}_{105} <= 1
+ 0 <= t_x_{2}_{120} <= 1
+ 0 <= t_x_{3}_{0} <= 1
+ 0 <= t_x_{3}_{15} <= 1
+ 0 <= t_x_{3}_{30} <= 1
+ 0 <= t_x_{3}_{45} <= 1
+ 0 <= t_x_{3}_{60} <= 1
+ 0 <= t_x_{3}_{75} <= 1
+ 0 <= t_x_{3}_{90} <= 1
+ 0 <= t_x_{3}_{105} <= 1
+ 0 <= t_x_{3}_{120} <= 1
+ 0 <= t_x_{4}_{0} <= 1
+ 0 <= t_x_{4}_{15} <= 1
+ 0 <= t_x_{4}_{30} <= 1
+ 0 <= t_x_{4}_{45} <= 1
+ 0 <= t_x_{4}_{60} <= 1
+ 0 <= t_x_{4}_{75} <= 1
+ 0 <= t_x_{4}_{90} <= 1
+ 0 <= t_x_{4}_{105} <= 1
+ 0 <= t_x_{4}_{120} <= 1
+ 0 <= t_x_{5}_{0} <= 1
+ 0 <= t_x_{5}_{15} <= 1
+ 0 <= t_x_{5}_{30} <= 1
+ 0 <= t_x_{5}_{45} <= 1
+ 0 <= t_x_{5}_{60} <= 1
+ 0 <= t_x_{5}_{75} <= 1
+ 0 <= t_x_{5}_{90} <= 1
+ 0 <= t_x_{5}_{105} <= 1
+ 0 <= t_x_{5}_{120} <= 1
+ 0 <= t_x_{6}_{0} <= 1
+ 0 <= t_x_{6}_{15} <= 1
+ 0 <= t_x_{6}_{30} <= 1
+ 0 <= t_x_{6}_{45} <= 1
+ 0 <= t_x_{6}_{60} <= 1
+ 0 <= t_x_{6}_{75} <= 1
+ 0 <= t_x_{6}_{90} <= 1
+ 0 <= t_x_{6}_{105} <= 1
+ 0 <= t_x_{6}_{120} <= 1
+Binaries
+ t_x_{1}_{0} t_x_{1}_{15} t_x_{1}_{30} t_x_{1}_{45} t_x_{1}_{60} t_x_{1}_{75} t_x_{1}_{90} t_x_{1}_{105}
+ t_x_{1}_{120} t_x_{2}_{0} t_x_{2}_{15} t_x_{2}_{30} t_x_{2}_{45} t_x_{2}_{60} t_x_{2}_{75} t_x_{2}_{90}
+ t_x_{2}_{105} t_x_{2}_{120} t_x_{3}_{0} t_x_{3}_{15} t_x_{3}_{30} t_x_{3}_{45} t_x_{3}_{60} t_x_{3}_{75}
+ t_x_{3}_{90} t_x_{3}_{105} t_x_{3}_{120} t_x_{4}_{0} t_x_{4}_{15} t_x_{4}_{30} t_x_{4}_{45} t_x_{4}_{60}
+ t_x_{4}_{75} t_x_{4}_{90} t_x_{4}_{105} t_x_{4}_{120} t_x_{5}_{0} t_x_{5}_{15} t_x_{5}_{30} t_x_{5}_{45}
+ t_x_{5}_{60} t_x_{5}_{75} t_x_{5}_{90} t_x_{5}_{105} t_x_{5}_{120} t_x_{6}_{0} t_x_{6}_{15} t_x_{6}_{30}
+ t_x_{6}_{45} t_x_{6}_{60} t_x_{6}_{75} t_x_{6}_{90} t_x_{6}_{105} t_x_{6}_{120}
+End
+\ SCIP STATISTICS
+\   Problem name     : data/6f4s.lp_relaxscip
+\   Variables        : 54 (54 binary, 0 integer, 0 implicit integer, 0 continuous)
+\   Constraints      : 6
+Minimize
+ Obj: +18.3333333333333 t_x_{1}_{0} +25 t_x_{1}_{15} +30 t_x_{1}_{30} +45 t_x_{1}_{45} +60 t_x_{1}_{60}
+      +75 t_x_{1}_{75} +90 t_x_{1}_{90} +105 t_x_{1}_{105} +120 t_x_{1}_{120} +17.3333333333333 t_x_{2}_{0}
+      +25 t_x_{2}_{15} +30 t_x_{2}_{30} +45 t_x_{2}_{45} +60 t_x_{2}_{60} +75 t_x_{2}_{75} +90 t_x_{2}_{90}
+      +105 t_x_{2}_{105} +120 t_x_{2}_{120} +25.3333333333333 t_x_{3}_{0} +28.3333333333333 t_x_{3}_{15}
+      +30 t_x_{3}_{30} +45 t_x_{3}_{45} +60 t_x_{3}_{60} +75 t_x_{3}_{75} +90 t_x_{3}_{90} +105 t_x_{3}_{105}
+      +120 t_x_{3}_{120} +25.3333333333333 t_x_{4}_{0} +28.3333333333333 t_x_{4}_{15} +30 t_x_{4}_{30}
+      +45 t_x_{4}_{45} +60 t_x_{4}_{60} +75 t_x_{4}_{75} +90 t_x_{4}_{90} +105 t_x_{4}_{105} +120 t_x_{4}_{120}
+      +25.3333333333333 t_x_{5}_{0} +28.3333333333333 t_x_{5}_{15} +30 t_x_{5}_{30} +45 t_x_{5}_{45} +60 t_x_{5}_{60}
+      +75 t_x_{5}_{75} +90 t_x_{5}_{90} +105 t_x_{5}_{105} +120 t_x_{5}_{120} +12.6666666666667 t_x_{6}_{0}
+      +21.6666666666667 t_x_{6}_{15} +30 t_x_{6}_{30} +45 t_x_{6}_{45} +60 t_x_{6}_{60} +75 t_x_{6}_{75}
+      +90 t_x_{6}_{90} +105 t_x_{6}_{105} +120 t_x_{6}_{120} -66
+Subject to
+ F_6: +1 t_x_{6}_{0} +1 t_x_{6}_{15} +1 t_x_{6}_{30} +1 t_x_{6}_{45} +1 t_x_{6}_{60} +1 t_x_{6}_{75} +1 t_x_{6}_{90}
+  +1 t_x_{6}_{105} +1 t_x_{6}_{120} = +1
+ F_5: +1 t_x_{5}_{0} +1 t_x_{5}_{15} +1 t_x_{5}_{30} +1 t_x_{5}_{45} +1 t_x_{5}_{60} +1 t_x_{5}_{75} +1 t_x_{5}_{90}
+  +1 t_x_{5}_{105} +1 t_x_{5}_{120} = +1
+ F_4: +1 t_x_{4}_{0} +1 t_x_{4}_{15} +1 t_x_{4}_{30} +1 t_x_{4}_{45} +1 t_x_{4}_{60} +1 t_x_{4}_{75} +1 t_x_{4}_{90}
+  +1 t_x_{4}_{105} +1 t_x_{4}_{120} = +1
+ F_3: +1 t_x_{3}_{0} +1 t_x_{3}_{15} +1 t_x_{3}_{30} +1 t_x_{3}_{45} +1 t_x_{3}_{60} +1 t_x_{3}_{75} +1 t_x_{3}_{90}
+  +1 t_x_{3}_{105} +1 t_x_{3}_{120} = +1
+ F_2: +1 t_x_{2}_{0} +1 t_x_{2}_{15} +1 t_x_{2}_{30} +1 t_x_{2}_{45} +1 t_x_{2}_{60} +1 t_x_{2}_{75} +1 t_x_{2}_{90}
+  +1 t_x_{2}_{105} +1 t_x_{2}_{120} = +1
+ F_1: +1 t_x_{1}_{0} +1 t_x_{1}_{15} +1 t_x_{1}_{30} +1 t_x_{1}_{45} +1 t_x_{1}_{60} +1 t_x_{1}_{75} +1 t_x_{1}_{90}
+  +1 t_x_{1}_{105} +1 t_x_{1}_{120} = +1
+Bounds
+ 0 <= t_x_{1}_{0} <= 1
+ 0 <= t_x_{1}_{15} <= 1
+ 0 <= t_x_{1}_{30} <= 1
+ 0 <= t_x_{1}_{45} <= 1
+ 0 <= t_x_{1}_{60} <= 1
+ 0 <= t_x_{1}_{75} <= 1
+ 0 <= t_x_{1}_{90} <= 1
+ 0 <= t_x_{1}_{105} <= 1
+ 0 <= t_x_{1}_{120} <= 1
+ 0 <= t_x_{2}_{0} <= 1
+ 0 <= t_x_{2}_{15} <= 1
+ 0 <= t_x_{2}_{30} <= 1
+ 0 <= t_x_{2}_{45} <= 1
+ 0 <= t_x_{2}_{60} <= 1
+ 0 <= t_x_{2}_{75} <= 1
+ 0 <= t_x_{2}_{90} <= 1
+ 0 <= t_x_{2}_{105} <= 1
+ 0 <= t_x_{2}_{120} <= 1
+ 0 <= t_x_{3}_{0} <= 1
+ 0 <= t_x_{3}_{15} <= 1
+ 0 <= t_x_{3}_{30} <= 1
+ 0 <= t_x_{3}_{45} <= 1
+ 0 <= t_x_{3}_{60} <= 1
+ 0 <= t_x_{3}_{75} <= 1
+ 0 <= t_x_{3}_{90} <= 1
+ 0 <= t_x_{3}_{105} <= 1
+ 0 <= t_x_{3}_{120} <= 1
+ 0 <= t_x_{4}_{0} <= 1
+ 0 <= t_x_{4}_{15} <= 1
+ 0 <= t_x_{4}_{30} <= 1
+ 0 <= t_x_{4}_{45} <= 1
+ 0 <= t_x_{4}_{60} <= 1
+ 0 <= t_x_{4}_{75} <= 1
+ 0 <= t_x_{4}_{90} <= 1
+ 0 <= t_x_{4}_{105} <= 1
+ 0 <= t_x_{4}_{120} <= 1
+ 0 <= t_x_{5}_{0} <= 1
+ 0 <= t_x_{5}_{15} <= 1
+ 0 <= t_x_{5}_{30} <= 1
+ 0 <= t_x_{5}_{45} <= 1
+ 0 <= t_x_{5}_{60} <= 1
+ 0 <= t_x_{5}_{75} <= 1
+ 0 <= t_x_{5}_{90} <= 1
+ 0 <= t_x_{5}_{105} <= 1
+ 0 <= t_x_{5}_{120} <= 1
+ 0 <= t_x_{6}_{0} <= 1
+ 0 <= t_x_{6}_{15} <= 1
+ 0 <= t_x_{6}_{30} <= 1
+ 0 <= t_x_{6}_{45} <= 1
+ 0 <= t_x_{6}_{60} <= 1
+ 0 <= t_x_{6}_{75} <= 1
+ 0 <= t_x_{6}_{90} <= 1
+ 0 <= t_x_{6}_{105} <= 1
+ 0 <= t_x_{6}_{120} <= 1
+Binaries
+ t_x_{1}_{0} t_x_{1}_{15} t_x_{1}_{30} t_x_{1}_{45} t_x_{1}_{60} t_x_{1}_{75} t_x_{1}_{90} t_x_{1}_{105}
+ t_x_{1}_{120} t_x_{2}_{0} t_x_{2}_{15} t_x_{2}_{30} t_x_{2}_{45} t_x_{2}_{60} t_x_{2}_{75} t_x_{2}_{90}
+ t_x_{2}_{105} t_x_{2}_{120} t_x_{3}_{0} t_x_{3}_{15} t_x_{3}_{30} t_x_{3}_{45} t_x_{3}_{60} t_x_{3}_{75}
+ t_x_{3}_{90} t_x_{3}_{105} t_x_{3}_{120} t_x_{4}_{0} t_x_{4}_{15} t_x_{4}_{30} t_x_{4}_{45} t_x_{4}_{60}
+ t_x_{4}_{75} t_x_{4}_{90} t_x_{4}_{105} t_x_{4}_{120} t_x_{5}_{0} t_x_{5}_{15} t_x_{5}_{30} t_x_{5}_{45}
+ t_x_{5}_{60} t_x_{5}_{75} t_x_{5}_{90} t_x_{5}_{105} t_x_{5}_{120} t_x_{6}_{0} t_x_{6}_{15} t_x_{6}_{30}
+ t_x_{6}_{45} t_x_{6}_{60} t_x_{6}_{75} t_x_{6}_{90} t_x_{6}_{105} t_x_{6}_{120}
+End
+\ SCIP STATISTICS
+\   Problem name     : data/6f4s.lp_relaxscip
+\   Variables        : 54 (54 binary, 0 integer, 0 implicit integer, 0 continuous)
+\   Constraints      : 6
+Minimize
+ Obj: +23.0833333333333 t_x_{1}_{0} +21.8333333333333 t_x_{1}_{15} +30 t_x_{1}_{30} +45 t_x_{1}_{45} +60 t_x_{1}_{60}
+      +75 t_x_{1}_{75} +90 t_x_{1}_{90} +105 t_x_{1}_{105} +120 t_x_{1}_{120} +22.0833333333333 t_x_{2}_{0}
+      +21.8333333333333 t_x_{2}_{15} +30 t_x_{2}_{30} +45 t_x_{2}_{45} +60 t_x_{2}_{60} +75 t_x_{2}_{75}
+      +90 t_x_{2}_{90} +105 t_x_{2}_{105} +120 t_x_{2}_{120} +31.6666666666667 t_x_{3}_{0} +25.1666666666667 t_x_{3}_{15}
+      +30 t_x_{3}_{30} +45 t_x_{3}_{45} +60 t_x_{3}_{60} +75 t_x_{3}_{75} +90 t_x_{3}_{90} +105 t_x_{3}_{105}
+      +120 t_x_{3}_{120} +31.6666666666667 t_x_{4}_{0} +25.1666666666667 t_x_{4}_{15} +30 t_x_{4}_{30}
+      +45 t_x_{4}_{45} +60 t_x_{4}_{60} +75 t_x_{4}_{75} +90 t_x_{4}_{90} +105 t_x_{4}_{105} +120 t_x_{4}_{120}
+      +31.6666666666667 t_x_{5}_{0} +25.1666666666667 t_x_{5}_{15} +30 t_x_{5}_{30} +45 t_x_{5}_{45} +60 t_x_{5}_{60}
+      +75 t_x_{5}_{75} +90 t_x_{5}_{90} +105 t_x_{5}_{105} +120 t_x_{5}_{120} +15.8333333333333 t_x_{6}_{0}
+      +20.0833333333333 t_x_{6}_{15} +30 t_x_{6}_{30} +45 t_x_{6}_{45} +60 t_x_{6}_{60} +75 t_x_{6}_{75}
+      +90 t_x_{6}_{90} +105 t_x_{6}_{105} +120 t_x_{6}_{120} -70.75
+Subject to
+ F_6: +1 t_x_{6}_{0} +1 t_x_{6}_{15} +1 t_x_{6}_{30} +1 t_x_{6}_{45} +1 t_x_{6}_{60} +1 t_x_{6}_{75} +1 t_x_{6}_{90}
+  +1 t_x_{6}_{105} +1 t_x_{6}_{120} = +1
+ F_5: +1 t_x_{5}_{0} +1 t_x_{5}_{15} +1 t_x_{5}_{30} +1 t_x_{5}_{45} +1 t_x_{5}_{60} +1 t_x_{5}_{75} +1 t_x_{5}_{90}
+  +1 t_x_{5}_{105} +1 t_x_{5}_{120} = +1
+ F_4: +1 t_x_{4}_{0} +1 t_x_{4}_{15} +1 t_x_{4}_{30} +1 t_x_{4}_{45} +1 t_x_{4}_{60} +1 t_x_{4}_{75} +1 t_x_{4}_{90}
+  +1 t_x_{4}_{105} +1 t_x_{4}_{120} = +1
+ F_3: +1 t_x_{3}_{0} +1 t_x_{3}_{15} +1 t_x_{3}_{30} +1 t_x_{3}_{45} +1 t_x_{3}_{60} +1 t_x_{3}_{75} +1 t_x_{3}_{90}
+  +1 t_x_{3}_{105} +1 t_x_{3}_{120} = +1
+ F_2: +1 t_x_{2}_{0} +1 t_x_{2}_{15} +1 t_x_{2}_{30} +1 t_x_{2}_{45} +1 t_x_{2}_{60} +1 t_x_{2}_{75} +1 t_x_{2}_{90}
+  +1 t_x_{2}_{105} +1 t_x_{2}_{120} = +1
+ F_1: +1 t_x_{1}_{0} +1 t_x_{1}_{15} +1 t_x_{1}_{30} +1 t_x_{1}_{45} +1 t_x_{1}_{60} +1 t_x_{1}_{75} +1 t_x_{1}_{90}
+  +1 t_x_{1}_{105} +1 t_x_{1}_{120} = +1
+Bounds
+ 0 <= t_x_{1}_{0} <= 1
+ 0 <= t_x_{1}_{15} <= 1
+ 0 <= t_x_{1}_{30} <= 1
+ 0 <= t_x_{1}_{45} <= 1
+ 0 <= t_x_{1}_{60} <= 1
+ 0 <= t_x_{1}_{75} <= 1
+ 0 <= t_x_{1}_{90} <= 1
+ 0 <= t_x_{1}_{105} <= 1
+ 0 <= t_x_{1}_{120} <= 1
+ 0 <= t_x_{2}_{0} <= 1
+ 0 <= t_x_{2}_{15} <= 1
+ 0 <= t_x_{2}_{30} <= 1
+ 0 <= t_x_{2}_{45} <= 1
+ 0 <= t_x_{2}_{60} <= 1
+ 0 <= t_x_{2}_{75} <= 1
+ 0 <= t_x_{2}_{90} <= 1
+ 0 <= t_x_{2}_{105} <= 1
+ 0 <= t_x_{2}_{120} <= 1
+ 0 <= t_x_{3}_{0} <= 1
+ 0 <= t_x_{3}_{15} <= 1
+ 0 <= t_x_{3}_{30} <= 1
+ 0 <= t_x_{3}_{45} <= 1
+ 0 <= t_x_{3}_{60} <= 1
+ 0 <= t_x_{3}_{75} <= 1
+ 0 <= t_x_{3}_{90} <= 1
+ 0 <= t_x_{3}_{105} <= 1
+ 0 <= t_x_{3}_{120} <= 1
+ 0 <= t_x_{4}_{0} <= 1
+ 0 <= t_x_{4}_{15} <= 1
+ 0 <= t_x_{4}_{30} <= 1
+ 0 <= t_x_{4}_{45} <= 1
+ 0 <= t_x_{4}_{60} <= 1
+ 0 <= t_x_{4}_{75} <= 1
+ 0 <= t_x_{4}_{90} <= 1
+ 0 <= t_x_{4}_{105} <= 1
+ 0 <= t_x_{4}_{120} <= 1
+ 0 <= t_x_{5}_{0} <= 1
+ 0 <= t_x_{5}_{15} <= 1
+ 0 <= t_x_{5}_{30} <= 1
+ 0 <= t_x_{5}_{45} <= 1
+ 0 <= t_x_{5}_{60} <= 1
+ 0 <= t_x_{5}_{75} <= 1
+ 0 <= t_x_{5}_{90} <= 1
+ 0 <= t_x_{5}_{105} <= 1
+ 0 <= t_x_{5}_{120} <= 1
+ 0 <= t_x_{6}_{0} <= 1
+ 0 <= t_x_{6}_{15} <= 1
+ 0 <= t_x_{6}_{30} <= 1
+ 0 <= t_x_{6}_{45} <= 1
+ 0 <= t_x_{6}_{60} <= 1
+ 0 <= t_x_{6}_{75} <= 1
+ 0 <= t_x_{6}_{90} <= 1
+ 0 <= t_x_{6}_{105} <= 1
+ 0 <= t_x_{6}_{120} <= 1
+Binaries
+ t_x_{1}_{0} t_x_{1}_{15} t_x_{1}_{30} t_x_{1}_{45} t_x_{1}_{60} t_x_{1}_{75} t_x_{1}_{90} t_x_{1}_{105}
+ t_x_{1}_{120} t_x_{2}_{0} t_x_{2}_{15} t_x_{2}_{30} t_x_{2}_{45} t_x_{2}_{60} t_x_{2}_{75} t_x_{2}_{90}
+ t_x_{2}_{105} t_x_{2}_{120} t_x_{3}_{0} t_x_{3}_{15} t_x_{3}_{30} t_x_{3}_{45} t_x_{3}_{60} t_x_{3}_{75}
+ t_x_{3}_{90} t_x_{3}_{105} t_x_{3}_{120} t_x_{4}_{0} t_x_{4}_{15} t_x_{4}_{30} t_x_{4}_{45} t_x_{4}_{60}
+ t_x_{4}_{75} t_x_{4}_{90} t_x_{4}_{105} t_x_{4}_{120} t_x_{5}_{0} t_x_{5}_{15} t_x_{5}_{30} t_x_{5}_{45}
+ t_x_{5}_{60} t_x_{5}_{75} t_x_{5}_{90} t_x_{5}_{105} t_x_{5}_{120} t_x_{6}_{0} t_x_{6}_{15} t_x_{6}_{30}
+ t_x_{6}_{45} t_x_{6}_{60} t_x_{6}_{75} t_x_{6}_{90} t_x_{6}_{105} t_x_{6}_{120}
+End
+\ SCIP STATISTICS
+\   Problem name     : data/6f4s.lp_relaxscip
+\   Variables        : 54 (54 binary, 0 integer, 0 implicit integer, 0 continuous)
+\   Constraints      : 6
+Minimize
+ Obj: +20.85 t_x_{1}_{0} +25.1833333333333 t_x_{1}_{15} +30 t_x_{1}_{30} +45 t_x_{1}_{45} +60 t_x_{1}_{60}
+      +75 t_x_{1}_{75} +90 t_x_{1}_{90} +105 t_x_{1}_{105} +120 t_x_{1}_{120} +19.85 t_x_{2}_{0} +25.1833333333333 t_x_{2}_{15}
+      +30 t_x_{2}_{30} +45 t_x_{2}_{45} +60 t_x_{2}_{60} +75 t_x_{2}_{75} +90 t_x_{2}_{90} +105 t_x_{2}_{105}
+      +120 t_x_{2}_{120} +29.4333333333333 t_x_{3}_{0} +29.6333333333333 t_x_{3}_{15} +30 t_x_{3}_{30}
+      +45 t_x_{3}_{45} +60 t_x_{3}_{60} +75 t_x_{3}_{75} +90 t_x_{3}_{90} +105 t_x_{3}_{105} +120 t_x_{3}_{120}
+      +30.55 t_x_{4}_{0} +28.5166666666667 t_x_{4}_{15} +30 t_x_{4}_{30} +45 t_x_{4}_{45} +60 t_x_{4}_{60}
+      +75 t_x_{4}_{75} +90 t_x_{4}_{90} +105 t_x_{4}_{105} +120 t_x_{4}_{120} +30.55 t_x_{5}_{0} +28.5166666666667 t_x_{5}_{15}
+      +30 t_x_{5}_{30} +45 t_x_{5}_{45} +60 t_x_{5}_{60} +75 t_x_{5}_{75} +90 t_x_{5}_{90} +105 t_x_{5}_{105}
+      +120 t_x_{5}_{120} +15.8333333333333 t_x_{6}_{0} +21.2 t_x_{6}_{15} +30 t_x_{6}_{30} +45 t_x_{6}_{45}
+      +60 t_x_{6}_{60} +75 t_x_{6}_{75} +90 t_x_{6}_{90} +105 t_x_{6}_{105} +120 t_x_{6}_{120} -74.1
+Subject to
+ F_6: +1 t_x_{6}_{0} +1 t_x_{6}_{15} +1 t_x_{6}_{30} +1 t_x_{6}_{45} +1 t_x_{6}_{60} +1 t_x_{6}_{75} +1 t_x_{6}_{90}
+  +1 t_x_{6}_{105} +1 t_x_{6}_{120} = +1
+ F_5: +1 t_x_{5}_{0} +1 t_x_{5}_{15} +1 t_x_{5}_{30} +1 t_x_{5}_{45} +1 t_x_{5}_{60} +1 t_x_{5}_{75} +1 t_x_{5}_{90}
+  +1 t_x_{5}_{105} +1 t_x_{5}_{120} = +1
+ F_4: +1 t_x_{4}_{0} +1 t_x_{4}_{15} +1 t_x_{4}_{30} +1 t_x_{4}_{45} +1 t_x_{4}_{60} +1 t_x_{4}_{75} +1 t_x_{4}_{90}
+  +1 t_x_{4}_{105} +1 t_x_{4}_{120} = +1
+ F_3: +1 t_x_{3}_{0} +1 t_x_{3}_{15} +1 t_x_{3}_{30} +1 t_x_{3}_{45} +1 t_x_{3}_{60} +1 t_x_{3}_{75} +1 t_x_{3}_{90}
+  +1 t_x_{3}_{105} +1 t_x_{3}_{120} = +1
+ F_2: +1 t_x_{2}_{0} +1 t_x_{2}_{15} +1 t_x_{2}_{30} +1 t_x_{2}_{45} +1 t_x_{2}_{60} +1 t_x_{2}_{75} +1 t_x_{2}_{90}
+  +1 t_x_{2}_{105} +1 t_x_{2}_{120} = +1
+ F_1: +1 t_x_{1}_{0} +1 t_x_{1}_{15} +1 t_x_{1}_{30} +1 t_x_{1}_{45} +1 t_x_{1}_{60} +1 t_x_{1}_{75} +1 t_x_{1}_{90}
+  +1 t_x_{1}_{105} +1 t_x_{1}_{120} = +1
+Bounds
+ 0 <= t_x_{1}_{0} <= 1
+ 0 <= t_x_{1}_{15} <= 1
+ 0 <= t_x_{1}_{30} <= 1
+ 0 <= t_x_{1}_{45} <= 1
+ 0 <= t_x_{1}_{60} <= 1
+ 0 <= t_x_{1}_{75} <= 1
+ 0 <= t_x_{1}_{90} <= 1
+ 0 <= t_x_{1}_{105} <= 1
+ 0 <= t_x_{1}_{120} <= 1
+ 0 <= t_x_{2}_{0} <= 1
+ 0 <= t_x_{2}_{15} <= 1
+ 0 <= t_x_{2}_{30} <= 1
+ 0 <= t_x_{2}_{45} <= 1
+ 0 <= t_x_{2}_{60} <= 1
+ 0 <= t_x_{2}_{75} <= 1
+ 0 <= t_x_{2}_{90} <= 1
+ 0 <= t_x_{2}_{105} <= 1
+ 0 <= t_x_{2}_{120} <= 1
+ 0 <= t_x_{3}_{0} <= 1
+ 0 <= t_x_{3}_{15} <= 1
+ 0 <= t_x_{3}_{30} <= 1
+ 0 <= t_x_{3}_{45} <= 1
+ 0 <= t_x_{3}_{60} <= 1
+ 0 <= t_x_{3}_{75} <= 1
+ 0 <= t_x_{3}_{90} <= 1
+ 0 <= t_x_{3}_{105} <= 1
+ 0 <= t_x_{3}_{120} <= 1
+ 0 <= t_x_{4}_{0} <= 1
+ 0 <= t_x_{4}_{15} <= 1
+ 0 <= t_x_{4}_{30} <= 1
+ 0 <= t_x_{4}_{45} <= 1
+ 0 <= t_x_{4}_{60} <= 1
+ 0 <= t_x_{4}_{75} <= 1
+ 0 <= t_x_{4}_{90} <= 1
+ 0 <= t_x_{4}_{105} <= 1
+ 0 <= t_x_{4}_{120} <= 1
+ 0 <= t_x_{5}_{0} <= 1
+ 0 <= t_x_{5}_{15} <= 1
+ 0 <= t_x_{5}_{30} <= 1
+ 0 <= t_x_{5}_{45} <= 1
+ 0 <= t_x_{5}_{60} <= 1
+ 0 <= t_x_{5}_{75} <= 1
+ 0 <= t_x_{5}_{90} <= 1
+ 0 <= t_x_{5}_{105} <= 1
+ 0 <= t_x_{5}_{120} <= 1
+ 0 <= t_x_{6}_{0} <= 1
+ 0 <= t_x_{6}_{15} <= 1
+ 0 <= t_x_{6}_{30} <= 1
+ 0 <= t_x_{6}_{45} <= 1
+ 0 <= t_x_{6}_{60} <= 1
+ 0 <= t_x_{6}_{75} <= 1
+ 0 <= t_x_{6}_{90} <= 1
+ 0 <= t_x_{6}_{105} <= 1
+ 0 <= t_x_{6}_{120} <= 1
+Binaries
+ t_x_{1}_{0} t_x_{1}_{15} t_x_{1}_{30} t_x_{1}_{45} t_x_{1}_{60} t_x_{1}_{75} t_x_{1}_{90} t_x_{1}_{105}
+ t_x_{1}_{120} t_x_{2}_{0} t_x_{2}_{15} t_x_{2}_{30} t_x_{2}_{45} t_x_{2}_{60} t_x_{2}_{75} t_x_{2}_{90}
+ t_x_{2}_{105} t_x_{2}_{120} t_x_{3}_{0} t_x_{3}_{15} t_x_{3}_{30} t_x_{3}_{45} t_x_{3}_{60} t_x_{3}_{75}
+ t_x_{3}_{90} t_x_{3}_{105} t_x_{3}_{120} t_x_{4}_{0} t_x_{4}_{15} t_x_{4}_{30} t_x_{4}_{45} t_x_{4}_{60}
+ t_x_{4}_{75} t_x_{4}_{90} t_x_{4}_{105} t_x_{4}_{120} t_x_{5}_{0} t_x_{5}_{15} t_x_{5}_{30} t_x_{5}_{45}
+ t_x_{5}_{60} t_x_{5}_{75} t_x_{5}_{90} t_x_{5}_{105} t_x_{5}_{120} t_x_{6}_{0} t_x_{6}_{15} t_x_{6}_{30}
+ t_x_{6}_{45} t_x_{6}_{60} t_x_{6}_{75} t_x_{6}_{90} t_x_{6}_{105} t_x_{6}_{120}
+End
+\ SCIP STATISTICS
+\   Problem name     : data/6f4s.lp_relaxscip
+\   Variables        : 54 (54 binary, 0 integer, 0 implicit integer, 0 continuous)
+\   Constraints      : 6
+Minimize
+ Obj: +22.8888888888889 t_x_{1}_{0} +24.1638888888889 t_x_{1}_{15} +30 t_x_{1}_{30} +45 t_x_{1}_{45} +60 t_x_{1}_{60}
+      +75 t_x_{1}_{75} +90 t_x_{1}_{90} +105 t_x_{1}_{105} +120 t_x_{1}_{120} +21.8888888888889 t_x_{2}_{0}
+      +24.1638888888889 t_x_{2}_{15} +30 t_x_{2}_{30} +45 t_x_{2}_{45} +60 t_x_{2}_{60} +75 t_x_{2}_{75}
+      +90 t_x_{2}_{90} +105 t_x_{2}_{105} +120 t_x_{2}_{120} +31.4722222222222 t_x_{3}_{0} +29.6333333333333 t_x_{3}_{15}
+      +30 t_x_{3}_{30} +45 t_x_{3}_{45} +60 t_x_{3}_{60} +75 t_x_{3}_{75} +90 t_x_{3}_{90} +105 t_x_{3}_{105}
+      +120 t_x_{3}_{120} +31.5694444444444 t_x_{4}_{0} +29.5361111111111 t_x_{4}_{15} +30 t_x_{4}_{30}
+      +45 t_x_{4}_{45} +60 t_x_{4}_{60} +75 t_x_{4}_{75} +90 t_x_{4}_{90} +105 t_x_{4}_{105} +120 t_x_{4}_{120}
+      +31.5694444444444 t_x_{5}_{0} +29.5361111111111 t_x_{5}_{15} +30 t_x_{5}_{30} +45 t_x_{5}_{45} +60 t_x_{5}_{60}
+      +75 t_x_{5}_{75} +90 t_x_{5}_{90} +105 t_x_{5}_{105} +120 t_x_{5}_{120} +15.8333333333333 t_x_{6}_{0}
+      +22.2194444444444 t_x_{6}_{15} +30 t_x_{6}_{30} +45 t_x_{6}_{45} +60 t_x_{6}_{60} +75 t_x_{6}_{75}
+      +90 t_x_{6}_{90} +105 t_x_{6}_{105} +120 t_x_{6}_{120} -77.1583333333333
+Subject to
+ F_6: +1 t_x_{6}_{0} +1 t_x_{6}_{15} +1 t_x_{6}_{30} +1 t_x_{6}_{45} +1 t_x_{6}_{60} +1 t_x_{6}_{75} +1 t_x_{6}_{90}
+  +1 t_x_{6}_{105} +1 t_x_{6}_{120} = +1
+ F_5: +1 t_x_{5}_{0} +1 t_x_{5}_{15} +1 t_x_{5}_{30} +1 t_x_{5}_{45} +1 t_x_{5}_{60} +1 t_x_{5}_{75} +1 t_x_{5}_{90}
+  +1 t_x_{5}_{105} +1 t_x_{5}_{120} = +1
+ F_4: +1 t_x_{4}_{0} +1 t_x_{4}_{15} +1 t_x_{4}_{30} +1 t_x_{4}_{45} +1 t_x_{4}_{60} +1 t_x_{4}_{75} +1 t_x_{4}_{90}
+  +1 t_x_{4}_{105} +1 t_x_{4}_{120} = +1
+ F_3: +1 t_x_{3}_{0} +1 t_x_{3}_{15} +1 t_x_{3}_{30} +1 t_x_{3}_{45} +1 t_x_{3}_{60} +1 t_x_{3}_{75} +1 t_x_{3}_{90}
+  +1 t_x_{3}_{105} +1 t_x_{3}_{120} = +1
+ F_2: +1 t_x_{2}_{0} +1 t_x_{2}_{15} +1 t_x_{2}_{30} +1 t_x_{2}_{45} +1 t_x_{2}_{60} +1 t_x_{2}_{75} +1 t_x_{2}_{90}
+  +1 t_x_{2}_{105} +1 t_x_{2}_{120} = +1
+ F_1: +1 t_x_{1}_{0} +1 t_x_{1}_{15} +1 t_x_{1}_{30} +1 t_x_{1}_{45} +1 t_x_{1}_{60} +1 t_x_{1}_{75} +1 t_x_{1}_{90}
+  +1 t_x_{1}_{105} +1 t_x_{1}_{120} = +1
+Bounds
+ 0 <= t_x_{1}_{0} <= 1
+ 0 <= t_x_{1}_{15} <= 1
+ 0 <= t_x_{1}_{30} <= 1
+ 0 <= t_x_{1}_{45} <= 1
+ 0 <= t_x_{1}_{60} <= 1
+ 0 <= t_x_{1}_{75} <= 1
+ 0 <= t_x_{1}_{90} <= 1
+ 0 <= t_x_{1}_{105} <= 1
+ 0 <= t_x_{1}_{120} <= 1
+ 0 <= t_x_{2}_{0} <= 1
+ 0 <= t_x_{2}_{15} <= 1
+ 0 <= t_x_{2}_{30} <= 1
+ 0 <= t_x_{2}_{45} <= 1
+ 0 <= t_x_{2}_{60} <= 1
+ 0 <= t_x_{2}_{75} <= 1
+ 0 <= t_x_{2}_{90} <= 1
+ 0 <= t_x_{2}_{105} <= 1
+ 0 <= t_x_{2}_{120} <= 1
+ 0 <= t_x_{3}_{0} <= 1
+ 0 <= t_x_{3}_{15} <= 1
+ 0 <= t_x_{3}_{30} <= 1
+ 0 <= t_x_{3}_{45} <= 1
+ 0 <= t_x_{3}_{60} <= 1
+ 0 <= t_x_{3}_{75} <= 1
+ 0 <= t_x_{3}_{90} <= 1
+ 0 <= t_x_{3}_{105} <= 1
+ 0 <= t_x_{3}_{120} <= 1
+ 0 <= t_x_{4}_{0} <= 1
+ 0 <= t_x_{4}_{15} <= 1
+ 0 <= t_x_{4}_{30} <= 1
+ 0 <= t_x_{4}_{45} <= 1
+ 0 <= t_x_{4}_{60} <= 1
+ 0 <= t_x_{4}_{75} <= 1
+ 0 <= t_x_{4}_{90} <= 1
+ 0 <= t_x_{4}_{105} <= 1
+ 0 <= t_x_{4}_{120} <= 1
+ 0 <= t_x_{5}_{0} <= 1
+ 0 <= t_x_{5}_{15} <= 1
+ 0 <= t_x_{5}_{30} <= 1
+ 0 <= t_x_{5}_{45} <= 1
+ 0 <= t_x_{5}_{60} <= 1
+ 0 <= t_x_{5}_{75} <= 1
+ 0 <= t_x_{5}_{90} <= 1
+ 0 <= t_x_{5}_{105} <= 1
+ 0 <= t_x_{5}_{120} <= 1
+ 0 <= t_x_{6}_{0} <= 1
+ 0 <= t_x_{6}_{15} <= 1
+ 0 <= t_x_{6}_{30} <= 1
+ 0 <= t_x_{6}_{45} <= 1
+ 0 <= t_x_{6}_{60} <= 1
+ 0 <= t_x_{6}_{75} <= 1
+ 0 <= t_x_{6}_{90} <= 1
+ 0 <= t_x_{6}_{105} <= 1
+ 0 <= t_x_{6}_{120} <= 1
+Binaries
+ t_x_{1}_{0} t_x_{1}_{15} t_x_{1}_{30} t_x_{1}_{45} t_x_{1}_{60} t_x_{1}_{75} t_x_{1}_{90} t_x_{1}_{105}
+ t_x_{1}_{120} t_x_{2}_{0} t_x_{2}_{15} t_x_{2}_{30} t_x_{2}_{45} t_x_{2}_{60} t_x_{2}_{75} t_x_{2}_{90}
+ t_x_{2}_{105} t_x_{2}_{120} t_x_{3}_{0} t_x_{3}_{15} t_x_{3}_{30} t_x_{3}_{45} t_x_{3}_{60} t_x_{3}_{75}
+ t_x_{3}_{90} t_x_{3}_{105} t_x_{3}_{120} t_x_{4}_{0} t_x_{4}_{15} t_x_{4}_{30} t_x_{4}_{45} t_x_{4}_{60}
+ t_x_{4}_{75} t_x_{4}_{90} t_x_{4}_{105} t_x_{4}_{120} t_x_{5}_{0} t_x_{5}_{15} t_x_{5}_{30} t_x_{5}_{45}
+ t_x_{5}_{60} t_x_{5}_{75} t_x_{5}_{90} t_x_{5}_{105} t_x_{5}_{120} t_x_{6}_{0} t_x_{6}_{15} t_x_{6}_{30}
+ t_x_{6}_{45} t_x_{6}_{60} t_x_{6}_{75} t_x_{6}_{90} t_x_{6}_{105} t_x_{6}_{120}
+End
+\ SCIP STATISTICS
+\   Problem name     : data/6f4s.lp_relaxscip
+\   Variables        : 54 (54 binary, 0 integer, 0 implicit integer, 0 continuous)
+\   Constraints      : 6
+Minimize
+ Obj: +23.8916666666667 t_x_{1}_{0} +24.1638888888889 t_x_{1}_{15} +30 t_x_{1}_{30} +45 t_x_{1}_{45} +60 t_x_{1}_{60}
+      +75 t_x_{1}_{75} +90 t_x_{1}_{90} +105 t_x_{1}_{105} +120 t_x_{1}_{120} +22.8916666666667 t_x_{2}_{0}
+      +24.1638888888889 t_x_{2}_{15} +30 t_x_{2}_{30} +45 t_x_{2}_{45} +60 t_x_{2}_{60} +75 t_x_{2}_{75}
+      +90 t_x_{2}_{90} +105 t_x_{2}_{105} +120 t_x_{2}_{120} +31.4722222222222 t_x_{3}_{0} +31.6388888888889 t_x_{3}_{15}
+      +30 t_x_{3}_{30} +45 t_x_{3}_{45} +60 t_x_{3}_{60} +75 t_x_{3}_{75} +90 t_x_{3}_{90} +105 t_x_{3}_{105}
+      +120 t_x_{3}_{120} +31.5694444444444 t_x_{4}_{0} +31.5416666666667 t_x_{4}_{15} +30 t_x_{4}_{30}
+      +45 t_x_{4}_{45} +60 t_x_{4}_{60} +75 t_x_{4}_{75} +90 t_x_{4}_{90} +105 t_x_{4}_{105} +120 t_x_{4}_{120}
+      +31.5694444444444 t_x_{5}_{0} +31.5416666666667 t_x_{5}_{15} +30 t_x_{5}_{30} +45 t_x_{5}_{45} +60 t_x_{5}_{60}
+      +75 t_x_{5}_{75} +90 t_x_{5}_{90} +105 t_x_{5}_{105} +120 t_x_{5}_{120} +15.8333333333333 t_x_{6}_{0}
+      +23.2222222222222 t_x_{6}_{15} +30 t_x_{6}_{30} +45 t_x_{6}_{45} +60 t_x_{6}_{60} +75 t_x_{6}_{75}
+      +90 t_x_{6}_{90} +105 t_x_{6}_{105} +120 t_x_{6}_{120} -80.1666666666667
+Subject to
+ F_6: +1 t_x_{6}_{0} +1 t_x_{6}_{15} +1 t_x_{6}_{30} +1 t_x_{6}_{45} +1 t_x_{6}_{60} +1 t_x_{6}_{75} +1 t_x_{6}_{90}
+  +1 t_x_{6}_{105} +1 t_x_{6}_{120} = +1
+ F_5: +1 t_x_{5}_{0} +1 t_x_{5}_{15} +1 t_x_{5}_{30} +1 t_x_{5}_{45} +1 t_x_{5}_{60} +1 t_x_{5}_{75} +1 t_x_{5}_{90}
+  +1 t_x_{5}_{105} +1 t_x_{5}_{120} = +1
+ F_4: +1 t_x_{4}_{0} +1 t_x_{4}_{15} +1 t_x_{4}_{30} +1 t_x_{4}_{45} +1 t_x_{4}_{60} +1 t_x_{4}_{75} +1 t_x_{4}_{90}
+  +1 t_x_{4}_{105} +1 t_x_{4}_{120} = +1
+ F_3: +1 t_x_{3}_{0} +1 t_x_{3}_{15} +1 t_x_{3}_{30} +1 t_x_{3}_{45} +1 t_x_{3}_{60} +1 t_x_{3}_{75} +1 t_x_{3}_{90}
+  +1 t_x_{3}_{105} +1 t_x_{3}_{120} = +1
+ F_2: +1 t_x_{2}_{0} +1 t_x_{2}_{15} +1 t_x_{2}_{30} +1 t_x_{2}_{45} +1 t_x_{2}_{60} +1 t_x_{2}_{75} +1 t_x_{2}_{90}
+  +1 t_x_{2}_{105} +1 t_x_{2}_{120} = +1
+ F_1: +1 t_x_{1}_{0} +1 t_x_{1}_{15} +1 t_x_{1}_{30} +1 t_x_{1}_{45} +1 t_x_{1}_{60} +1 t_x_{1}_{75} +1 t_x_{1}_{90}
+  +1 t_x_{1}_{105} +1 t_x_{1}_{120} = +1
+Bounds
+ 0 <= t_x_{1}_{0} <= 1
+ 0 <= t_x_{1}_{15} <= 1
+ 0 <= t_x_{1}_{30} <= 1
+ 0 <= t_x_{1}_{45} <= 1
+ 0 <= t_x_{1}_{60} <= 1
+ 0 <= t_x_{1}_{75} <= 1
+ 0 <= t_x_{1}_{90} <= 1
+ 0 <= t_x_{1}_{105} <= 1
+ 0 <= t_x_{1}_{120} <= 1
+ 0 <= t_x_{2}_{0} <= 1
+ 0 <= t_x_{2}_{15} <= 1
+ 0 <= t_x_{2}_{30} <= 1
+ 0 <= t_x_{2}_{45} <= 1
+ 0 <= t_x_{2}_{60} <= 1
+ 0 <= t_x_{2}_{75} <= 1
+ 0 <= t_x_{2}_{90} <= 1
+ 0 <= t_x_{2}_{105} <= 1
+ 0 <= t_x_{2}_{120} <= 1
+ 0 <= t_x_{3}_{0} <= 1
+ 0 <= t_x_{3}_{15} <= 1
+ 0 <= t_x_{3}_{30} <= 1
+ 0 <= t_x_{3}_{45} <= 1
+ 0 <= t_x_{3}_{60} <= 1
+ 0 <= t_x_{3}_{75} <= 1
+ 0 <= t_x_{3}_{90} <= 1
+ 0 <= t_x_{3}_{105} <= 1
+ 0 <= t_x_{3}_{120} <= 1
+ 0 <= t_x_{4}_{0} <= 1
+ 0 <= t_x_{4}_{15} <= 1
+ 0 <= t_x_{4}_{30} <= 1
+ 0 <= t_x_{4}_{45} <= 1
+ 0 <= t_x_{4}_{60} <= 1
+ 0 <= t_x_{4}_{75} <= 1
+ 0 <= t_x_{4}_{90} <= 1
+ 0 <= t_x_{4}_{105} <= 1
+ 0 <= t_x_{4}_{120} <= 1
+ 0 <= t_x_{5}_{0} <= 1
+ 0 <= t_x_{5}_{15} <= 1
+ 0 <= t_x_{5}_{30} <= 1
+ 0 <= t_x_{5}_{45} <= 1
+ 0 <= t_x_{5}_{60} <= 1
+ 0 <= t_x_{5}_{75} <= 1
+ 0 <= t_x_{5}_{90} <= 1
+ 0 <= t_x_{5}_{105} <= 1
+ 0 <= t_x_{5}_{120} <= 1
+ 0 <= t_x_{6}_{0} <= 1
+ 0 <= t_x_{6}_{15} <= 1
+ 0 <= t_x_{6}_{30} <= 1
+ 0 <= t_x_{6}_{45} <= 1
+ 0 <= t_x_{6}_{60} <= 1
+ 0 <= t_x_{6}_{75} <= 1
+ 0 <= t_x_{6}_{90} <= 1
+ 0 <= t_x_{6}_{105} <= 1
+ 0 <= t_x_{6}_{120} <= 1
+Binaries
+ t_x_{1}_{0} t_x_{1}_{15} t_x_{1}_{30} t_x_{1}_{45} t_x_{1}_{60} t_x_{1}_{75} t_x_{1}_{90} t_x_{1}_{105}
+ t_x_{1}_{120} t_x_{2}_{0} t_x_{2}_{15} t_x_{2}_{30} t_x_{2}_{45} t_x_{2}_{60} t_x_{2}_{75} t_x_{2}_{90}
+ t_x_{2}_{105} t_x_{2}_{120} t_x_{3}_{0} t_x_{3}_{15} t_x_{3}_{30} t_x_{3}_{45} t_x_{3}_{60} t_x_{3}_{75}
+ t_x_{3}_{90} t_x_{3}_{105} t_x_{3}_{120} t_x_{4}_{0} t_x_{4}_{15} t_x_{4}_{30} t_x_{4}_{45} t_x_{4}_{60}
+ t_x_{4}_{75} t_x_{4}_{90} t_x_{4}_{105} t_x_{4}_{120} t_x_{5}_{0} t_x_{5}_{15} t_x_{5}_{30} t_x_{5}_{45}
+ t_x_{5}_{60} t_x_{5}_{75} t_x_{5}_{90} t_x_{5}_{105} t_x_{5}_{120} t_x_{6}_{0} t_x_{6}_{15} t_x_{6}_{30}
+ t_x_{6}_{45} t_x_{6}_{60} t_x_{6}_{75} t_x_{6}_{90} t_x_{6}_{105} t_x_{6}_{120}
+End
+\ SCIP STATISTICS
+\   Problem name     : data/6f4s.lp_relaxscip
+\   Variables        : 54 (54 binary, 0 integer, 0 implicit integer, 0 continuous)
+\   Constraints      : 6
+Minimize
+ Obj: +24.8920138888889 t_x_{1}_{0} +22.3190972222222 t_x_{1}_{15} +31.0003472222222 t_x_{1}_{30} +45 t_x_{1}_{45}
+      +60 t_x_{1}_{60} +75 t_x_{1}_{75} +90 t_x_{1}_{90} +105 t_x_{1}_{105} +120 t_x_{1}_{120} +23.8920138888889 t_x_{2}_{0}
+      +22.3190972222222 t_x_{2}_{15} +31.0003472222222 t_x_{2}_{30} +45 t_x_{2}_{45} +60 t_x_{2}_{60}
+      +75 t_x_{2}_{75} +90 t_x_{2}_{90} +105 t_x_{2}_{105} +120 t_x_{2}_{120} +31.4722222222222 t_x_{3}_{0}
+      +29.6381944444444 t_x_{3}_{15} +32.0006944444444 t_x_{3}_{30} +45 t_x_{3}_{45} +60 t_x_{3}_{60}
+      +75 t_x_{3}_{75} +90 t_x_{3}_{90} +105 t_x_{3}_{105} +120 t_x_{3}_{120} +31.5694444444444 t_x_{4}_{0}
+      +29.5409722222222 t_x_{4}_{15} +32.0006944444444 t_x_{4}_{30} +45 t_x_{4}_{45} +60 t_x_{4}_{60}
+      +75 t_x_{4}_{75} +90 t_x_{4}_{90} +105 t_x_{4}_{105} +120 t_x_{4}_{120} +31.5694444444444 t_x_{5}_{0}
+      +29.5409722222222 t_x_{5}_{15} +32.0006944444444 t_x_{5}_{30} +45 t_x_{5}_{45} +60 t_x_{5}_{60}
+      +75 t_x_{5}_{75} +90 t_x_{5}_{90} +105 t_x_{5}_{105} +120 t_x_{5}_{120} +15.8333333333333 t_x_{6}_{0}
+      +22.221875 t_x_{6}_{15} +31.0003472222222 t_x_{6}_{30} +45 t_x_{6}_{45} +60 t_x_{6}_{60} +75 t_x_{6}_{75}
+      +90 t_x_{6}_{90} +105 t_x_{6}_{105} +120 t_x_{6}_{120} -80.3225694444444
+Subject to
+ F_6: +1 t_x_{6}_{0} +1 t_x_{6}_{15} +1 t_x_{6}_{30} +1 t_x_{6}_{45} +1 t_x_{6}_{60} +1 t_x_{6}_{75} +1 t_x_{6}_{90}
+  +1 t_x_{6}_{105} +1 t_x_{6}_{120} = +1
+ F_5: +1 t_x_{5}_{0} +1 t_x_{5}_{15} +1 t_x_{5}_{30} +1 t_x_{5}_{45} +1 t_x_{5}_{60} +1 t_x_{5}_{75} +1 t_x_{5}_{90}
+  +1 t_x_{5}_{105} +1 t_x_{5}_{120} = +1
+ F_4: +1 t_x_{4}_{0} +1 t_x_{4}_{15} +1 t_x_{4}_{30} +1 t_x_{4}_{45} +1 t_x_{4}_{60} +1 t_x_{4}_{75} +1 t_x_{4}_{90}
+  +1 t_x_{4}_{105} +1 t_x_{4}_{120} = +1
+ F_3: +1 t_x_{3}_{0} +1 t_x_{3}_{15} +1 t_x_{3}_{30} +1 t_x_{3}_{45} +1 t_x_{3}_{60} +1 t_x_{3}_{75} +1 t_x_{3}_{90}
+  +1 t_x_{3}_{105} +1 t_x_{3}_{120} = +1
+ F_2: +1 t_x_{2}_{0} +1 t_x_{2}_{15} +1 t_x_{2}_{30} +1 t_x_{2}_{45} +1 t_x_{2}_{60} +1 t_x_{2}_{75} +1 t_x_{2}_{90}
+  +1 t_x_{2}_{105} +1 t_x_{2}_{120} = +1
+ F_1: +1 t_x_{1}_{0} +1 t_x_{1}_{15} +1 t_x_{1}_{30} +1 t_x_{1}_{45} +1 t_x_{1}_{60} +1 t_x_{1}_{75} +1 t_x_{1}_{90}
+  +1 t_x_{1}_{105} +1 t_x_{1}_{120} = +1
+Bounds
+ 0 <= t_x_{1}_{0} <= 1
+ 0 <= t_x_{1}_{15} <= 1
+ 0 <= t_x_{1}_{30} <= 1
+ 0 <= t_x_{1}_{45} <= 1
+ 0 <= t_x_{1}_{60} <= 1
+ 0 <= t_x_{1}_{75} <= 1
+ 0 <= t_x_{1}_{90} <= 1
+ 0 <= t_x_{1}_{105} <= 1
+ 0 <= t_x_{1}_{120} <= 1
+ 0 <= t_x_{2}_{0} <= 1
+ 0 <= t_x_{2}_{15} <= 1
+ 0 <= t_x_{2}_{30} <= 1
+ 0 <= t_x_{2}_{45} <= 1
+ 0 <= t_x_{2}_{60} <= 1
+ 0 <= t_x_{2}_{75} <= 1
+ 0 <= t_x_{2}_{90} <= 1
+ 0 <= t_x_{2}_{105} <= 1
+ 0 <= t_x_{2}_{120} <= 1
+ 0 <= t_x_{3}_{0} <= 1
+ 0 <= t_x_{3}_{15} <= 1
+ 0 <= t_x_{3}_{30} <= 1
+ 0 <= t_x_{3}_{45} <= 1
+ 0 <= t_x_{3}_{60} <= 1
+ 0 <= t_x_{3}_{75} <= 1
+ 0 <= t_x_{3}_{90} <= 1
+ 0 <= t_x_{3}_{105} <= 1
+ 0 <= t_x_{3}_{120} <= 1
+ 0 <= t_x_{4}_{0} <= 1
+ 0 <= t_x_{4}_{15} <= 1
+ 0 <= t_x_{4}_{30} <= 1
+ 0 <= t_x_{4}_{45} <= 1
+ 0 <= t_x_{4}_{60} <= 1
+ 0 <= t_x_{4}_{75} <= 1
+ 0 <= t_x_{4}_{90} <= 1
+ 0 <= t_x_{4}_{105} <= 1
+ 0 <= t_x_{4}_{120} <= 1
+ 0 <= t_x_{5}_{0} <= 1
+ 0 <= t_x_{5}_{15} <= 1
+ 0 <= t_x_{5}_{30} <= 1
+ 0 <= t_x_{5}_{45} <= 1
+ 0 <= t_x_{5}_{60} <= 1
+ 0 <= t_x_{5}_{75} <= 1
+ 0 <= t_x_{5}_{90} <= 1
+ 0 <= t_x_{5}_{105} <= 1
+ 0 <= t_x_{5}_{120} <= 1
+ 0 <= t_x_{6}_{0} <= 1
+ 0 <= t_x_{6}_{15} <= 1
+ 0 <= t_x_{6}_{30} <= 1
+ 0 <= t_x_{6}_{45} <= 1
+ 0 <= t_x_{6}_{60} <= 1
+ 0 <= t_x_{6}_{75} <= 1
+ 0 <= t_x_{6}_{90} <= 1
+ 0 <= t_x_{6}_{105} <= 1
+ 0 <= t_x_{6}_{120} <= 1
+Binaries
+ t_x_{1}_{0} t_x_{1}_{15} t_x_{1}_{30} t_x_{1}_{45} t_x_{1}_{60} t_x_{1}_{75} t_x_{1}_{90} t_x_{1}_{105}
+ t_x_{1}_{120} t_x_{2}_{0} t_x_{2}_{15} t_x_{2}_{30} t_x_{2}_{45} t_x_{2}_{60} t_x_{2}_{75} t_x_{2}_{90}
+ t_x_{2}_{105} t_x_{2}_{120} t_x_{3}_{0} t_x_{3}_{15} t_x_{3}_{30} t_x_{3}_{45} t_x_{3}_{60} t_x_{3}_{75}
+ t_x_{3}_{90} t_x_{3}_{105} t_x_{3}_{120} t_x_{4}_{0} t_x_{4}_{15} t_x_{4}_{30} t_x_{4}_{45} t_x_{4}_{60}
+ t_x_{4}_{75} t_x_{4}_{90} t_x_{4}_{105} t_x_{4}_{120} t_x_{5}_{0} t_x_{5}_{15} t_x_{5}_{30} t_x_{5}_{45}
+ t_x_{5}_{60} t_x_{5}_{75} t_x_{5}_{90} t_x_{5}_{105} t_x_{5}_{120} t_x_{6}_{0} t_x_{6}_{15} t_x_{6}_{30}
+ t_x_{6}_{45} t_x_{6}_{60} t_x_{6}_{75} t_x_{6}_{90} t_x_{6}_{105} t_x_{6}_{120}
+End
+\ SCIP STATISTICS
+\   Problem name     : data/6f4s.lp_relaxscip
+\   Variables        : 54 (54 binary, 0 integer, 0 implicit integer, 0 continuous)
+\   Constraints      : 6
+Minimize
+ Obj: +22.8919367283951 t_x_{1}_{0} +25.319212962963 t_x_{1}_{15} +30.0003086419753 t_x_{1}_{30} +45 t_x_{1}_{45}
+      +60 t_x_{1}_{60} +75 t_x_{1}_{75} +90 t_x_{1}_{90} +105 t_x_{1}_{105} +120 t_x_{1}_{120} +21.8919367283951 t_x_{2}_{0}
+      +25.319212962963 t_x_{2}_{15} +30.0003086419753 t_x_{2}_{30} +45 t_x_{2}_{45} +60 t_x_{2}_{60} +75 t_x_{2}_{75}
+      +90 t_x_{2}_{90} +105 t_x_{2}_{105} +120 t_x_{2}_{120} +29.4721450617284 t_x_{3}_{0} +33.6383487654321 t_x_{3}_{15}
+      +30.0006172839506 t_x_{3}_{30} +45 t_x_{3}_{45} +60 t_x_{3}_{60} +75 t_x_{3}_{75} +90 t_x_{3}_{90}
+      +105 t_x_{3}_{105} +120 t_x_{3}_{120} +30.5694058641975 t_x_{4}_{0} +32.541087962963 t_x_{4}_{15}
+      +30.0006172839506 t_x_{4}_{30} +45 t_x_{4}_{45} +60 t_x_{4}_{60} +75 t_x_{4}_{75} +90 t_x_{4}_{90}
+      +105 t_x_{4}_{105} +120 t_x_{4}_{120} +30.5694058641975 t_x_{5}_{0} +32.541087962963 t_x_{5}_{15}
+      +30.0006172839506 t_x_{5}_{30} +45 t_x_{5}_{45} +60 t_x_{5}_{60} +75 t_x_{5}_{75} +90 t_x_{5}_{90}
+      +105 t_x_{5}_{105} +120 t_x_{5}_{120} +15.8333333333333 t_x_{6}_{0} +23.2219135802469 t_x_{6}_{15}
+      +30.0003086419753 t_x_{6}_{30} +45 t_x_{6}_{45} +60 t_x_{6}_{60} +75 t_x_{6}_{75} +90 t_x_{6}_{90}
+      +105 t_x_{6}_{105} +120 t_x_{6}_{120} -80.3225694444445
+Subject to
+ F_6: +1 t_x_{6}_{0} +1 t_x_{6}_{15} +1 t_x_{6}_{30} +1 t_x_{6}_{45} +1 t_x_{6}_{60} +1 t_x_{6}_{75} +1 t_x_{6}_{90}
+  +1 t_x_{6}_{105} +1 t_x_{6}_{120} = +1
+ F_5: +1 t_x_{5}_{0} +1 t_x_{5}_{15} +1 t_x_{5}_{30} +1 t_x_{5}_{45} +1 t_x_{5}_{60} +1 t_x_{5}_{75} +1 t_x_{5}_{90}
+  +1 t_x_{5}_{105} +1 t_x_{5}_{120} = +1
+ F_4: +1 t_x_{4}_{0} +1 t_x_{4}_{15} +1 t_x_{4}_{30} +1 t_x_{4}_{45} +1 t_x_{4}_{60} +1 t_x_{4}_{75} +1 t_x_{4}_{90}
+  +1 t_x_{4}_{105} +1 t_x_{4}_{120} = +1
+ F_3: +1 t_x_{3}_{0} +1 t_x_{3}_{15} +1 t_x_{3}_{30} +1 t_x_{3}_{45} +1 t_x_{3}_{60} +1 t_x_{3}_{75} +1 t_x_{3}_{90}
+  +1 t_x_{3}_{105} +1 t_x_{3}_{120} = +1
+ F_2: +1 t_x_{2}_{0} +1 t_x_{2}_{15} +1 t_x_{2}_{30} +1 t_x_{2}_{45} +1 t_x_{2}_{60} +1 t_x_{2}_{75} +1 t_x_{2}_{90}
+  +1 t_x_{2}_{105} +1 t_x_{2}_{120} = +1
+ F_1: +1 t_x_{1}_{0} +1 t_x_{1}_{15} +1 t_x_{1}_{30} +1 t_x_{1}_{45} +1 t_x_{1}_{60} +1 t_x_{1}_{75} +1 t_x_{1}_{90}
+  +1 t_x_{1}_{105} +1 t_x_{1}_{120} = +1
+Bounds
+ 0 <= t_x_{1}_{0} <= 1
+ 0 <= t_x_{1}_{15} <= 1
+ 0 <= t_x_{1}_{30} <= 1
+ 0 <= t_x_{1}_{45} <= 1
+ 0 <= t_x_{1}_{60} <= 1
+ 0 <= t_x_{1}_{75} <= 1
+ 0 <= t_x_{1}_{90} <= 1
+ 0 <= t_x_{1}_{105} <= 1
+ 0 <= t_x_{1}_{120} <= 1
+ 0 <= t_x_{2}_{0} <= 1
+ 0 <= t_x_{2}_{15} <= 1
+ 0 <= t_x_{2}_{30} <= 1
+ 0 <= t_x_{2}_{45} <= 1
+ 0 <= t_x_{2}_{60} <= 1
+ 0 <= t_x_{2}_{75} <= 1
+ 0 <= t_x_{2}_{90} <= 1
+ 0 <= t_x_{2}_{105} <= 1
+ 0 <= t_x_{2}_{120} <= 1
+ 0 <= t_x_{3}_{0} <= 1
+ 0 <= t_x_{3}_{15} <= 1
+ 0 <= t_x_{3}_{30} <= 1
+ 0 <= t_x_{3}_{45} <= 1
+ 0 <= t_x_{3}_{60} <= 1
+ 0 <= t_x_{3}_{75} <= 1
+ 0 <= t_x_{3}_{90} <= 1
+ 0 <= t_x_{3}_{105} <= 1
+ 0 <= t_x_{3}_{120} <= 1
+ 0 <= t_x_{4}_{0} <= 1
+ 0 <= t_x_{4}_{15} <= 1
+ 0 <= t_x_{4}_{30} <= 1
+ 0 <= t_x_{4}_{45} <= 1
+ 0 <= t_x_{4}_{60} <= 1
+ 0 <= t_x_{4}_{75} <= 1
+ 0 <= t_x_{4}_{90} <= 1
+ 0 <= t_x_{4}_{105} <= 1
+ 0 <= t_x_{4}_{120} <= 1
+ 0 <= t_x_{5}_{0} <= 1
+ 0 <= t_x_{5}_{15} <= 1
+ 0 <= t_x_{5}_{30} <= 1
+ 0 <= t_x_{5}_{45} <= 1
+ 0 <= t_x_{5}_{60} <= 1
+ 0 <= t_x_{5}_{75} <= 1
+ 0 <= t_x_{5}_{90} <= 1
+ 0 <= t_x_{5}_{105} <= 1
+ 0 <= t_x_{5}_{120} <= 1
+ 0 <= t_x_{6}_{0} <= 1
+ 0 <= t_x_{6}_{15} <= 1
+ 0 <= t_x_{6}_{30} <= 1
+ 0 <= t_x_{6}_{45} <= 1
+ 0 <= t_x_{6}_{60} <= 1
+ 0 <= t_x_{6}_{75} <= 1
+ 0 <= t_x_{6}_{90} <= 1
+ 0 <= t_x_{6}_{105} <= 1
+ 0 <= t_x_{6}_{120} <= 1
+Binaries
+ t_x_{1}_{0} t_x_{1}_{15} t_x_{1}_{30} t_x_{1}_{45} t_x_{1}_{60} t_x_{1}_{75} t_x_{1}_{90} t_x_{1}_{105}
+ t_x_{1}_{120} t_x_{2}_{0} t_x_{2}_{15} t_x_{2}_{30} t_x_{2}_{45} t_x_{2}_{60} t_x_{2}_{75} t_x_{2}_{90}
+ t_x_{2}_{105} t_x_{2}_{120} t_x_{3}_{0} t_x_{3}_{15} t_x_{3}_{30} t_x_{3}_{45} t_x_{3}_{60} t_x_{3}_{75}
+ t_x_{3}_{90} t_x_{3}_{105} t_x_{3}_{120} t_x_{4}_{0} t_x_{4}_{15} t_x_{4}_{30} t_x_{4}_{45} t_x_{4}_{60}
+ t_x_{4}_{75} t_x_{4}_{90} t_x_{4}_{105} t_x_{4}_{120} t_x_{5}_{0} t_x_{5}_{15} t_x_{5}_{30} t_x_{5}_{45}
+ t_x_{5}_{60} t_x_{5}_{75} t_x_{5}_{90} t_x_{5}_{105} t_x_{5}_{120} t_x_{6}_{0} t_x_{6}_{15} t_x_{6}_{30}
+ t_x_{6}_{45} t_x_{6}_{60} t_x_{6}_{75} t_x_{6}_{90} t_x_{6}_{105} t_x_{6}_{120}
+End
+\ SCIP STATISTICS
+\   Problem name     : data/6f4s.lp_relaxscip
+\   Variables        : 54 (54 binary, 0 integer, 0 implicit integer, 0 continuous)
+\   Constraints      : 6
+Minimize
+ Obj: +24.8919444444444 t_x_{1}_{0} +23.3192052469136 t_x_{1}_{15} +30.0003086419753 t_x_{1}_{30} +45 t_x_{1}_{45}
+      +60 t_x_{1}_{60} +75 t_x_{1}_{75} +90 t_x_{1}_{90} +105 t_x_{1}_{105} +120 t_x_{1}_{120} +23.8919444444444 t_x_{2}_{0}
+      +23.3192052469136 t_x_{2}_{15} +30.0003086419753 t_x_{2}_{30} +45 t_x_{2}_{45} +60 t_x_{2}_{60}
+      +75 t_x_{2}_{75} +90 t_x_{2}_{90} +105 t_x_{2}_{105} +120 t_x_{2}_{120} +31.4721527777778 t_x_{3}_{0}
+      +31.6383410493827 t_x_{3}_{15} +30.0006172839506 t_x_{3}_{30} +45 t_x_{3}_{45} +60 t_x_{3}_{60}
+      +75 t_x_{3}_{75} +90 t_x_{3}_{90} +105 t_x_{3}_{105} +120 t_x_{3}_{120} +31.5694097222222 t_x_{4}_{0}
+      +30.5410802469136 t_x_{4}_{15} +31.0006211419753 t_x_{4}_{30} +45 t_x_{4}_{45} +60 t_x_{4}_{60}
+      +75 t_x_{4}_{75} +90 t_x_{4}_{90} +105 t_x_{4}_{105} +120 t_x_{4}_{120} +31.5694097222222 t_x_{5}_{0}
+      +30.5410802469136 t_x_{5}_{15} +31.0006211419753 t_x_{5}_{30} +45 t_x_{5}_{45} +60 t_x_{5}_{60}
+      +75 t_x_{5}_{75} +90 t_x_{5}_{90} +105 t_x_{5}_{105} +120 t_x_{5}_{120} +15.8333333333333 t_x_{6}_{0}
+      +22.2219097222222 t_x_{6}_{15} +31.0003125 t_x_{6}_{30} +45 t_x_{6}_{45} +60 t_x_{6}_{60} +75 t_x_{6}_{75}
+      +90 t_x_{6}_{90} +105 t_x_{6}_{105} +120 t_x_{6}_{120} -80.3225694444444
+Subject to
+ F_6: +1 t_x_{6}_{0} +1 t_x_{6}_{15} +1 t_x_{6}_{30} +1 t_x_{6}_{45} +1 t_x_{6}_{60} +1 t_x_{6}_{75} +1 t_x_{6}_{90}
+  +1 t_x_{6}_{105} +1 t_x_{6}_{120} = +1
+ F_5: +1 t_x_{5}_{0} +1 t_x_{5}_{15} +1 t_x_{5}_{30} +1 t_x_{5}_{45} +1 t_x_{5}_{60} +1 t_x_{5}_{75} +1 t_x_{5}_{90}
+  +1 t_x_{5}_{105} +1 t_x_{5}_{120} = +1
+ F_4: +1 t_x_{4}_{0} +1 t_x_{4}_{15} +1 t_x_{4}_{30} +1 t_x_{4}_{45} +1 t_x_{4}_{60} +1 t_x_{4}_{75} +1 t_x_{4}_{90}
+  +1 t_x_{4}_{105} +1 t_x_{4}_{120} = +1
+ F_3: +1 t_x_{3}_{0} +1 t_x_{3}_{15} +1 t_x_{3}_{30} +1 t_x_{3}_{45} +1 t_x_{3}_{60} +1 t_x_{3}_{75} +1 t_x_{3}_{90}
+  +1 t_x_{3}_{105} +1 t_x_{3}_{120} = +1
+ F_2: +1 t_x_{2}_{0} +1 t_x_{2}_{15} +1 t_x_{2}_{30} +1 t_x_{2}_{45} +1 t_x_{2}_{60} +1 t_x_{2}_{75} +1 t_x_{2}_{90}
+  +1 t_x_{2}_{105} +1 t_x_{2}_{120} = +1
+ F_1: +1 t_x_{1}_{0} +1 t_x_{1}_{15} +1 t_x_{1}_{30} +1 t_x_{1}_{45} +1 t_x_{1}_{60} +1 t_x_{1}_{75} +1 t_x_{1}_{90}
+  +1 t_x_{1}_{105} +1 t_x_{1}_{120} = +1
+Bounds
+ 0 <= t_x_{1}_{0} <= 1
+ 0 <= t_x_{1}_{15} <= 1
+ 0 <= t_x_{1}_{30} <= 1
+ 0 <= t_x_{1}_{45} <= 1
+ 0 <= t_x_{1}_{60} <= 1
+ 0 <= t_x_{1}_{75} <= 1
+ 0 <= t_x_{1}_{90} <= 1
+ 0 <= t_x_{1}_{105} <= 1
+ 0 <= t_x_{1}_{120} <= 1
+ 0 <= t_x_{2}_{0} <= 1
+ 0 <= t_x_{2}_{15} <= 1
+ 0 <= t_x_{2}_{30} <= 1
+ 0 <= t_x_{2}_{45} <= 1
+ 0 <= t_x_{2}_{60} <= 1
+ 0 <= t_x_{2}_{75} <= 1
+ 0 <= t_x_{2}_{90} <= 1
+ 0 <= t_x_{2}_{105} <= 1
+ 0 <= t_x_{2}_{120} <= 1
+ 0 <= t_x_{3}_{0} <= 1
+ 0 <= t_x_{3}_{15} <= 1
+ 0 <= t_x_{3}_{30} <= 1
+ 0 <= t_x_{3}_{45} <= 1
+ 0 <= t_x_{3}_{60} <= 1
+ 0 <= t_x_{3}_{75} <= 1
+ 0 <= t_x_{3}_{90} <= 1
+ 0 <= t_x_{3}_{105} <= 1
+ 0 <= t_x_{3}_{120} <= 1
+ 0 <= t_x_{4}_{0} <= 1
+ 0 <= t_x_{4}_{15} <= 1
+ 0 <= t_x_{4}_{30} <= 1
+ 0 <= t_x_{4}_{45} <= 1
+ 0 <= t_x_{4}_{60} <= 1
+ 0 <= t_x_{4}_{75} <= 1
+ 0 <= t_x_{4}_{90} <= 1
+ 0 <= t_x_{4}_{105} <= 1
+ 0 <= t_x_{4}_{120} <= 1
+ 0 <= t_x_{5}_{0} <= 1
+ 0 <= t_x_{5}_{15} <= 1
+ 0 <= t_x_{5}_{30} <= 1
+ 0 <= t_x_{5}_{45} <= 1
+ 0 <= t_x_{5}_{60} <= 1
+ 0 <= t_x_{5}_{75} <= 1
+ 0 <= t_x_{5}_{90} <= 1
+ 0 <= t_x_{5}_{105} <= 1
+ 0 <= t_x_{5}_{120} <= 1
+ 0 <= t_x_{6}_{0} <= 1
+ 0 <= t_x_{6}_{15} <= 1
+ 0 <= t_x_{6}_{30} <= 1
+ 0 <= t_x_{6}_{45} <= 1
+ 0 <= t_x_{6}_{60} <= 1
+ 0 <= t_x_{6}_{75} <= 1
+ 0 <= t_x_{6}_{90} <= 1
+ 0 <= t_x_{6}_{105} <= 1
+ 0 <= t_x_{6}_{120} <= 1
+Binaries
+ t_x_{1}_{0} t_x_{1}_{15} t_x_{1}_{30} t_x_{1}_{45} t_x_{1}_{60} t_x_{1}_{75} t_x_{1}_{90} t_x_{1}_{105}
+ t_x_{1}_{120} t_x_{2}_{0} t_x_{2}_{15} t_x_{2}_{30} t_x_{2}_{45} t_x_{2}_{60} t_x_{2}_{75} t_x_{2}_{90}
+ t_x_{2}_{105} t_x_{2}_{120} t_x_{3}_{0} t_x_{3}_{15} t_x_{3}_{30} t_x_{3}_{45} t_x_{3}_{60} t_x_{3}_{75}
+ t_x_{3}_{90} t_x_{3}_{105} t_x_{3}_{120} t_x_{4}_{0} t_x_{4}_{15} t_x_{4}_{30} t_x_{4}_{45} t_x_{4}_{60}
+ t_x_{4}_{75} t_x_{4}_{90} t_x_{4}_{105} t_x_{4}_{120} t_x_{5}_{0} t_x_{5}_{15} t_x_{5}_{30} t_x_{5}_{45}
+ t_x_{5}_{60} t_x_{5}_{75} t_x_{5}_{90} t_x_{5}_{105} t_x_{5}_{120} t_x_{6}_{0} t_x_{6}_{15} t_x_{6}_{30}
+ t_x_{6}_{45} t_x_{6}_{60} t_x_{6}_{75} t_x_{6}_{90} t_x_{6}_{105} t_x_{6}_{120}
+End
+\ SCIP STATISTICS
+\   Problem name     : data/6f4s.lp_relaxscip
+\   Variables        : 54 (54 binary, 0 integer, 0 implicit integer, 0 continuous)
+\   Constraints      : 6
+Minimize
+ Obj: +22.8919437429854 t_x_{1}_{0} +25.3192059483726 t_x_{1}_{15} +30.0003086419753 t_x_{1}_{30} +45 t_x_{1}_{45}
+      +60 t_x_{1}_{60} +75 t_x_{1}_{75} +90 t_x_{1}_{90} +105 t_x_{1}_{105} +120 t_x_{1}_{120} +21.8919437429854 t_x_{2}_{0}
+      +25.3192059483726 t_x_{2}_{15} +30.0003086419753 t_x_{2}_{30} +45 t_x_{2}_{45} +60 t_x_{2}_{60}
+      +75 t_x_{2}_{75} +90 t_x_{2}_{90} +105 t_x_{2}_{105} +120 t_x_{2}_{120} +29.4721520763187 t_x_{3}_{0}
+      +33.6383417508418 t_x_{3}_{15} +30.0006172839506 t_x_{3}_{30} +45 t_x_{3}_{45} +60 t_x_{3}_{60}
+      +75 t_x_{3}_{75} +90 t_x_{3}_{90} +105 t_x_{3}_{105} +120 t_x_{3}_{120} +30.5694093714927 t_x_{4}_{0}
+      +32.5410809483726 t_x_{4}_{15} +30.0006207912458 t_x_{4}_{30} +45 t_x_{4}_{45} +60 t_x_{4}_{60}
+      +75 t_x_{4}_{75} +90 t_x_{4}_{90} +105 t_x_{4}_{105} +120 t_x_{4}_{120} +30.5694093714927 t_x_{5}_{0}
+      +32.5410809483726 t_x_{5}_{15} +30.0006207912458 t_x_{5}_{30} +45 t_x_{5}_{45} +60 t_x_{5}_{60}
+      +75 t_x_{5}_{75} +90 t_x_{5}_{90} +105 t_x_{5}_{105} +120 t_x_{5}_{120} +15.8333333333333 t_x_{6}_{0}
+      +23.2219100729517 t_x_{6}_{15} +30.0003121492705 t_x_{6}_{30} +45 t_x_{6}_{45} +60 t_x_{6}_{60}
+      +75 t_x_{6}_{75} +90 t_x_{6}_{90} +105 t_x_{6}_{105} +120 t_x_{6}_{120} -80.3225694444444
+Subject to
+ F_6: +1 t_x_{6}_{0} +1 t_x_{6}_{15} +1 t_x_{6}_{30} +1 t_x_{6}_{45} +1 t_x_{6}_{60} +1 t_x_{6}_{75} +1 t_x_{6}_{90}
+  +1 t_x_{6}_{105} +1 t_x_{6}_{120} = +1
+ F_5: +1 t_x_{5}_{0} +1 t_x_{5}_{15} +1 t_x_{5}_{30} +1 t_x_{5}_{45} +1 t_x_{5}_{60} +1 t_x_{5}_{75} +1 t_x_{5}_{90}
+  +1 t_x_{5}_{105} +1 t_x_{5}_{120} = +1
+ F_4: +1 t_x_{4}_{0} +1 t_x_{4}_{15} +1 t_x_{4}_{30} +1 t_x_{4}_{45} +1 t_x_{4}_{60} +1 t_x_{4}_{75} +1 t_x_{4}_{90}
+  +1 t_x_{4}_{105} +1 t_x_{4}_{120} = +1
+ F_3: +1 t_x_{3}_{0} +1 t_x_{3}_{15} +1 t_x_{3}_{30} +1 t_x_{3}_{45} +1 t_x_{3}_{60} +1 t_x_{3}_{75} +1 t_x_{3}_{90}
+  +1 t_x_{3}_{105} +1 t_x_{3}_{120} = +1
+ F_2: +1 t_x_{2}_{0} +1 t_x_{2}_{15} +1 t_x_{2}_{30} +1 t_x_{2}_{45} +1 t_x_{2}_{60} +1 t_x_{2}_{75} +1 t_x_{2}_{90}
+  +1 t_x_{2}_{105} +1 t_x_{2}_{120} = +1
+ F_1: +1 t_x_{1}_{0} +1 t_x_{1}_{15} +1 t_x_{1}_{30} +1 t_x_{1}_{45} +1 t_x_{1}_{60} +1 t_x_{1}_{75} +1 t_x_{1}_{90}
+  +1 t_x_{1}_{105} +1 t_x_{1}_{120} = +1
+Bounds
+ 0 <= t_x_{1}_{0} <= 1
+ 0 <= t_x_{1}_{15} <= 1
+ 0 <= t_x_{1}_{30} <= 1
+ 0 <= t_x_{1}_{45} <= 1
+ 0 <= t_x_{1}_{60} <= 1
+ 0 <= t_x_{1}_{75} <= 1
+ 0 <= t_x_{1}_{90} <= 1
+ 0 <= t_x_{1}_{105} <= 1
+ 0 <= t_x_{1}_{120} <= 1
+ 0 <= t_x_{2}_{0} <= 1
+ 0 <= t_x_{2}_{15} <= 1
+ 0 <= t_x_{2}_{30} <= 1
+ 0 <= t_x_{2}_{45} <= 1
+ 0 <= t_x_{2}_{60} <= 1
+ 0 <= t_x_{2}_{75} <= 1
+ 0 <= t_x_{2}_{90} <= 1
+ 0 <= t_x_{2}_{105} <= 1
+ 0 <= t_x_{2}_{120} <= 1
+ 0 <= t_x_{3}_{0} <= 1
+ 0 <= t_x_{3}_{15} <= 1
+ 0 <= t_x_{3}_{30} <= 1
+ 0 <= t_x_{3}_{45} <= 1
+ 0 <= t_x_{3}_{60} <= 1
+ 0 <= t_x_{3}_{75} <= 1
+ 0 <= t_x_{3}_{90} <= 1
+ 0 <= t_x_{3}_{105} <= 1
+ 0 <= t_x_{3}_{120} <= 1
+ 0 <= t_x_{4}_{0} <= 1
+ 0 <= t_x_{4}_{15} <= 1
+ 0 <= t_x_{4}_{30} <= 1
+ 0 <= t_x_{4}_{45} <= 1
+ 0 <= t_x_{4}_{60} <= 1
+ 0 <= t_x_{4}_{75} <= 1
+ 0 <= t_x_{4}_{90} <= 1
+ 0 <= t_x_{4}_{105} <= 1
+ 0 <= t_x_{4}_{120} <= 1
+ 0 <= t_x_{5}_{0} <= 1
+ 0 <= t_x_{5}_{15} <= 1
+ 0 <= t_x_{5}_{30} <= 1
+ 0 <= t_x_{5}_{45} <= 1
+ 0 <= t_x_{5}_{60} <= 1
+ 0 <= t_x_{5}_{75} <= 1
+ 0 <= t_x_{5}_{90} <= 1
+ 0 <= t_x_{5}_{105} <= 1
+ 0 <= t_x_{5}_{120} <= 1
+ 0 <= t_x_{6}_{0} <= 1
+ 0 <= t_x_{6}_{15} <= 1
+ 0 <= t_x_{6}_{30} <= 1
+ 0 <= t_x_{6}_{45} <= 1
+ 0 <= t_x_{6}_{60} <= 1
+ 0 <= t_x_{6}_{75} <= 1
+ 0 <= t_x_{6}_{90} <= 1
+ 0 <= t_x_{6}_{105} <= 1
+ 0 <= t_x_{6}_{120} <= 1
+Binaries
+ t_x_{1}_{0} t_x_{1}_{15} t_x_{1}_{30} t_x_{1}_{45} t_x_{1}_{60} t_x_{1}_{75} t_x_{1}_{90} t_x_{1}_{105}
+ t_x_{1}_{120} t_x_{2}_{0} t_x_{2}_{15} t_x_{2}_{30} t_x_{2}_{45} t_x_{2}_{60} t_x_{2}_{75} t_x_{2}_{90}
+ t_x_{2}_{105} t_x_{2}_{120} t_x_{3}_{0} t_x_{3}_{15} t_x_{3}_{30} t_x_{3}_{45} t_x_{3}_{60} t_x_{3}_{75}
+ t_x_{3}_{90} t_x_{3}_{105} t_x_{3}_{120} t_x_{4}_{0} t_x_{4}_{15} t_x_{4}_{30} t_x_{4}_{45} t_x_{4}_{60}
+ t_x_{4}_{75} t_x_{4}_{90} t_x_{4}_{105} t_x_{4}_{120} t_x_{5}_{0} t_x_{5}_{15} t_x_{5}_{30} t_x_{5}_{45}
+ t_x_{5}_{60} t_x_{5}_{75} t_x_{5}_{90} t_x_{5}_{105} t_x_{5}_{120} t_x_{6}_{0} t_x_{6}_{15} t_x_{6}_{30}
+ t_x_{6}_{45} t_x_{6}_{60} t_x_{6}_{75} t_x_{6}_{90} t_x_{6}_{105} t_x_{6}_{120}
+End
+\ SCIP STATISTICS
+\   Problem name     : data/6f4s.lp_relaxscip
+\   Variables        : 54 (54 binary, 0 integer, 0 implicit integer, 0 continuous)
+\   Constraints      : 6
+Minimize
+ Obj: +24.8919438014403 t_x_{1}_{0} +23.3192058899177 t_x_{1}_{15} +30.0003086419753 t_x_{1}_{30} +45 t_x_{1}_{45}
+      +60 t_x_{1}_{60} +75 t_x_{1}_{75} +90 t_x_{1}_{90} +105 t_x_{1}_{105} +120 t_x_{1}_{120} +23.8919438014403 t_x_{2}_{0}
+      +23.3192058899177 t_x_{2}_{15} +30.0003086419753 t_x_{2}_{30} +45 t_x_{2}_{45} +60 t_x_{2}_{60}
+      +75 t_x_{2}_{75} +90 t_x_{2}_{90} +105 t_x_{2}_{105} +120 t_x_{2}_{120} +31.4721521347737 t_x_{3}_{0}
+      +31.6383416923868 t_x_{3}_{15} +30.0006172839506 t_x_{3}_{30} +45 t_x_{3}_{45} +60 t_x_{3}_{60}
+      +75 t_x_{3}_{75} +90 t_x_{3}_{90} +105 t_x_{3}_{105} +120 t_x_{3}_{120} +31.5694094007202 t_x_{4}_{0}
+      +30.5410808899177 t_x_{4}_{15} +31.0006208204733 t_x_{4}_{30} +45 t_x_{4}_{45} +60 t_x_{4}_{60}
+      +75 t_x_{4}_{75} +90 t_x_{4}_{90} +105 t_x_{4}_{105} +120 t_x_{4}_{120} +31.5694094007202 t_x_{5}_{0}
+      +30.5410808899177 t_x_{5}_{15} +31.0006208204733 t_x_{5}_{30} +45 t_x_{5}_{45} +60 t_x_{5}_{60}
+      +75 t_x_{5}_{75} +90 t_x_{5}_{90} +105 t_x_{5}_{105} +120 t_x_{5}_{120} +15.8333333333333 t_x_{6}_{0}
+      +22.2219100437243 t_x_{6}_{15} +31.0003121784979 t_x_{6}_{30} +45 t_x_{6}_{45} +60 t_x_{6}_{60}
+      +75 t_x_{6}_{75} +90 t_x_{6}_{90} +105 t_x_{6}_{105} +120 t_x_{6}_{120} -80.3225694444444
+Subject to
+ F_6: +1 t_x_{6}_{0} +1 t_x_{6}_{15} +1 t_x_{6}_{30} +1 t_x_{6}_{45} +1 t_x_{6}_{60} +1 t_x_{6}_{75} +1 t_x_{6}_{90}
+  +1 t_x_{6}_{105} +1 t_x_{6}_{120} = +1
+ F_5: +1 t_x_{5}_{0} +1 t_x_{5}_{15} +1 t_x_{5}_{30} +1 t_x_{5}_{45} +1 t_x_{5}_{60} +1 t_x_{5}_{75} +1 t_x_{5}_{90}
+  +1 t_x_{5}_{105} +1 t_x_{5}_{120} = +1
+ F_4: +1 t_x_{4}_{0} +1 t_x_{4}_{15} +1 t_x_{4}_{30} +1 t_x_{4}_{45} +1 t_x_{4}_{60} +1 t_x_{4}_{75} +1 t_x_{4}_{90}
+  +1 t_x_{4}_{105} +1 t_x_{4}_{120} = +1
+ F_3: +1 t_x_{3}_{0} +1 t_x_{3}_{15} +1 t_x_{3}_{30} +1 t_x_{3}_{45} +1 t_x_{3}_{60} +1 t_x_{3}_{75} +1 t_x_{3}_{90}
+  +1 t_x_{3}_{105} +1 t_x_{3}_{120} = +1
+ F_2: +1 t_x_{2}_{0} +1 t_x_{2}_{15} +1 t_x_{2}_{30} +1 t_x_{2}_{45} +1 t_x_{2}_{60} +1 t_x_{2}_{75} +1 t_x_{2}_{90}
+  +1 t_x_{2}_{105} +1 t_x_{2}_{120} = +1
+ F_1: +1 t_x_{1}_{0} +1 t_x_{1}_{15} +1 t_x_{1}_{30} +1 t_x_{1}_{45} +1 t_x_{1}_{60} +1 t_x_{1}_{75} +1 t_x_{1}_{90}
+  +1 t_x_{1}_{105} +1 t_x_{1}_{120} = +1
+Bounds
+ 0 <= t_x_{1}_{0} <= 1
+ 0 <= t_x_{1}_{15} <= 1
+ 0 <= t_x_{1}_{30} <= 1
+ 0 <= t_x_{1}_{45} <= 1
+ 0 <= t_x_{1}_{60} <= 1
+ 0 <= t_x_{1}_{75} <= 1
+ 0 <= t_x_{1}_{90} <= 1
+ 0 <= t_x_{1}_{105} <= 1
+ 0 <= t_x_{1}_{120} <= 1
+ 0 <= t_x_{2}_{0} <= 1
+ 0 <= t_x_{2}_{15} <= 1
+ 0 <= t_x_{2}_{30} <= 1
+ 0 <= t_x_{2}_{45} <= 1
+ 0 <= t_x_{2}_{60} <= 1
+ 0 <= t_x_{2}_{75} <= 1
+ 0 <= t_x_{2}_{90} <= 1
+ 0 <= t_x_{2}_{105} <= 1
+ 0 <= t_x_{2}_{120} <= 1
+ 0 <= t_x_{3}_{0} <= 1
+ 0 <= t_x_{3}_{15} <= 1
+ 0 <= t_x_{3}_{30} <= 1
+ 0 <= t_x_{3}_{45} <= 1
+ 0 <= t_x_{3}_{60} <= 1
+ 0 <= t_x_{3}_{75} <= 1
+ 0 <= t_x_{3}_{90} <= 1
+ 0 <= t_x_{3}_{105} <= 1
+ 0 <= t_x_{3}_{120} <= 1
+ 0 <= t_x_{4}_{0} <= 1
+ 0 <= t_x_{4}_{15} <= 1
+ 0 <= t_x_{4}_{30} <= 1
+ 0 <= t_x_{4}_{45} <= 1
+ 0 <= t_x_{4}_{60} <= 1
+ 0 <= t_x_{4}_{75} <= 1
+ 0 <= t_x_{4}_{90} <= 1
+ 0 <= t_x_{4}_{105} <= 1
+ 0 <= t_x_{4}_{120} <= 1
+ 0 <= t_x_{5}_{0} <= 1
+ 0 <= t_x_{5}_{15} <= 1
+ 0 <= t_x_{5}_{30} <= 1
+ 0 <= t_x_{5}_{45} <= 1
+ 0 <= t_x_{5}_{60} <= 1
+ 0 <= t_x_{5}_{75} <= 1
+ 0 <= t_x_{5}_{90} <= 1
+ 0 <= t_x_{5}_{105} <= 1
+ 0 <= t_x_{5}_{120} <= 1
+ 0 <= t_x_{6}_{0} <= 1
+ 0 <= t_x_{6}_{15} <= 1
+ 0 <= t_x_{6}_{30} <= 1
+ 0 <= t_x_{6}_{45} <= 1
+ 0 <= t_x_{6}_{60} <= 1
+ 0 <= t_x_{6}_{75} <= 1
+ 0 <= t_x_{6}_{90} <= 1
+ 0 <= t_x_{6}_{105} <= 1
+ 0 <= t_x_{6}_{120} <= 1
+Binaries
+ t_x_{1}_{0} t_x_{1}_{15} t_x_{1}_{30} t_x_{1}_{45} t_x_{1}_{60} t_x_{1}_{75} t_x_{1}_{90} t_x_{1}_{105}
+ t_x_{1}_{120} t_x_{2}_{0} t_x_{2}_{15} t_x_{2}_{30} t_x_{2}_{45} t_x_{2}_{60} t_x_{2}_{75} t_x_{2}_{90}
+ t_x_{2}_{105} t_x_{2}_{120} t_x_{3}_{0} t_x_{3}_{15} t_x_{3}_{30} t_x_{3}_{45} t_x_{3}_{60} t_x_{3}_{75}
+ t_x_{3}_{90} t_x_{3}_{105} t_x_{3}_{120} t_x_{4}_{0} t_x_{4}_{15} t_x_{4}_{30} t_x_{4}_{45} t_x_{4}_{60}
+ t_x_{4}_{75} t_x_{4}_{90} t_x_{4}_{105} t_x_{4}_{120} t_x_{5}_{0} t_x_{5}_{15} t_x_{5}_{30} t_x_{5}_{45}
+ t_x_{5}_{60} t_x_{5}_{75} t_x_{5}_{90} t_x_{5}_{105} t_x_{5}_{120} t_x_{6}_{0} t_x_{6}_{15} t_x_{6}_{30}
+ t_x_{6}_{45} t_x_{6}_{60} t_x_{6}_{75} t_x_{6}_{90} t_x_{6}_{105} t_x_{6}_{120}
+End
diff --git a/bin/LagrangianRelaxation.linux.x86_64.gnu.opt.spx2 b/bin/LagrangianRelaxation.linux.x86_64.gnu.opt.spx2
index a371f723eb1287bb0a49ca356c430bf479c9b3d3..6aa56570b16107c2fcf2fe0da8dc1d299fb7660f 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/dual.txt b/dual.txt
index 9a989c716c2ec17c0854e245ef7d5f14751b0810..5d0eae3b48e3c4da1870eaf40dfd57c13467a8a9 100644
--- a/dual.txt
+++ b/dual.txt
@@ -1,876 +1,528 @@
-objective value:                                    2
-t_x_{1}_{0}                                         1 	(obj:2)
+objective value:                                    1
+t_x_{1}_{0}                                         1 	(obj:1)
 t_x_{2}_{0}                                         1 	(obj:0)
 t_x_{3}_{0}                                         1 	(obj:0)
 t_x_{4}_{0}                                         1 	(obj:0)
 t_x_{5}_{0}                                         1 	(obj:0)
 t_x_{6}_{0}                                         1 	(obj:0)
-dualbound = 2.000000, lowerbound=1.000000, norm of subgrad 6.782330	objective value:                                   15
-t_x_{1}_{0}                                         1 	(obj:5)
-t_x_{2}_{0}                                         1 	(obj:3)
-t_x_{3}_{0}                                         1 	(obj:4)
-t_x_{4}_{0}                                         1 	(obj:4)
-t_x_{5}_{0}                                         1 	(obj:4)
-t_x_{6}_{0}                                         1 	(obj:2)
-dualbound = 22.000000, lowerbound=1.000000, norm of subgrad 6.782330	objective value:                                   28
-t_x_{1}_{0}                                         1 	(obj:8)
-t_x_{2}_{0}                                         1 	(obj:6)
-t_x_{3}_{0}                                         1 	(obj:8)
-t_x_{4}_{0}                                         1 	(obj:8)
-t_x_{5}_{0}                                         1 	(obj:8)
-t_x_{6}_{0}                                         1 	(obj:4)
-dualbound = 42.000000, lowerbound=1.000000, norm of subgrad 6.782330	objective value:                                   41
-t_x_{1}_{0}                                         1 	(obj:11)
-t_x_{2}_{0}                                         1 	(obj:9)
-t_x_{3}_{0}                                         1 	(obj:12)
-t_x_{4}_{0}                                         1 	(obj:12)
-t_x_{5}_{0}                                         1 	(obj:12)
-t_x_{6}_{0}                                         1 	(obj:6)
-dualbound = 62.000000, lowerbound=1.000000, norm of subgrad 6.782330	objective value:                                   54
-t_x_{1}_{0}                                         1 	(obj:14)
-t_x_{2}_{0}                                         1 	(obj:12)
-t_x_{3}_{0}                                         1 	(obj:16)
-t_x_{4}_{0}                                         1 	(obj:16)
-t_x_{5}_{0}                                         1 	(obj:16)
-t_x_{6}_{0}                                         1 	(obj:8)
-dualbound = 82.000000, lowerbound=1.000000, norm of subgrad 6.782330	objective value:                                   67
-t_x_{1}_{0}                                         1 	(obj:17)
-t_x_{2}_{0}                                         1 	(obj:15)
-t_x_{3}_{0}                                         1 	(obj:20)
-t_x_{4}_{0}                                         1 	(obj:20)
-t_x_{5}_{0}                                         1 	(obj:20)
-t_x_{6}_{0}                                         1 	(obj:10)
-dualbound = 102.000000, lowerbound=1.000000, norm of subgrad 6.782330	objective value:                                   80
-t_x_{1}_{0}                                         1 	(obj:20)
-t_x_{2}_{0}                                         1 	(obj:18)
-t_x_{3}_{0}                                         1 	(obj:24)
-t_x_{4}_{0}                                         1 	(obj:24)
-t_x_{5}_{0}                                         1 	(obj:24)
-t_x_{6}_{0}                                         1 	(obj:12)
-dualbound = 122.000000, lowerbound=1.000000, norm of subgrad 6.782330	objective value:                                   93
-t_x_{1}_{0}                                         1 	(obj:23)
-t_x_{2}_{0}                                         1 	(obj:21)
-t_x_{3}_{0}                                         1 	(obj:28)
-t_x_{4}_{0}                                         1 	(obj:28)
-t_x_{5}_{0}                                         1 	(obj:28)
-t_x_{6}_{0}                                         1 	(obj:14)
-dualbound = 142.000000, lowerbound=1.000000, norm of subgrad 6.782330	objective value:                                  100
-t_x_{1}_{0}                                         1 	(obj:26)
-t_x_{2}_{0}                                         1 	(obj:24)
-t_x_{3}_{15}                                        1 	(obj:30)
-t_x_{4}_{15}                                        1 	(obj:30)
-t_x_{5}_{15}                                        1 	(obj:30)
-t_x_{6}_{0}                                         1 	(obj:16)
-dualbound = 156.000000, lowerbound=46.000000, norm of subgrad 5.830952	objective value:                                  104
-t_x_{1}_{0}                                         1 	(obj:27)
-t_x_{2}_{0}                                         1 	(obj:25)
-t_x_{3}_{0}                                         1 	(obj:32)
-t_x_{4}_{0}                                         1 	(obj:32)
-t_x_{5}_{0}                                         1 	(obj:32)
-t_x_{6}_{0}                                         1 	(obj:16)
-dualbound = 164.000000, lowerbound=1.000000, norm of subgrad 6.782330	objective value:                                  102
-t_x_{1}_{0}                                         1 	(obj:30)
-t_x_{2}_{0}                                         1 	(obj:28)
-t_x_{3}_{15}                                        1 	(obj:30)
-t_x_{4}_{15}                                        1 	(obj:30)
-t_x_{5}_{15}                                        1 	(obj:30)
-t_x_{6}_{0}                                         1 	(obj:18)
-dualbound = 166.000000, lowerbound=46.000000, norm of subgrad 5.830952	objective value:                                  106
-t_x_{1}_{0}                                         1 	(obj:31)
-t_x_{2}_{0}                                         1 	(obj:29)
-t_x_{3}_{15}                                        1 	(obj:32)
-t_x_{4}_{15}                                        1 	(obj:32)
-t_x_{5}_{15}                                        1 	(obj:32)
-t_x_{6}_{0}                                         1 	(obj:18)
-dualbound = 174.000000, lowerbound=46.000000, norm of subgrad 5.830952	objective value:                                  110
-t_x_{1}_{0}                                         1 	(obj:32)
-t_x_{2}_{0}                                         1 	(obj:30)
-t_x_{3}_{15}                                        1 	(obj:34)
-t_x_{4}_{15}                                        1 	(obj:34)
-t_x_{5}_{15}                                        1 	(obj:34)
-t_x_{6}_{0}                                         1 	(obj:18)
-dualbound = 182.000000, lowerbound=46.000000, norm of subgrad 5.830952	objective value:                                  114
-t_x_{1}_{0}                                         1 	(obj:33)
-t_x_{2}_{0}                                         1 	(obj:31)
-t_x_{3}_{0}                                         1 	(obj:36)
-t_x_{4}_{0}                                         1 	(obj:36)
-t_x_{5}_{0}                                         1 	(obj:36)
-t_x_{6}_{0}                                         1 	(obj:18)
-dualbound = 190.000000, lowerbound=1.000000, norm of subgrad 6.782330	objective value:                                  106
-t_x_{1}_{15}                                        1 	(obj:32)
-t_x_{2}_{15}                                        1 	(obj:32)
-t_x_{3}_{15}                                        1 	(obj:34)
-t_x_{4}_{15}                                        1 	(obj:34)
-t_x_{5}_{15}                                        1 	(obj:34)
-t_x_{6}_{0}                                         1 	(obj:20)
-dualbound = 186.000000, lowerbound=75.000000, norm of subgrad 6.480741	objective value:                                  115
-t_x_{1}_{0}                                         1 	(obj:34)
-t_x_{2}_{0}                                         1 	(obj:32)
-t_x_{3}_{15}                                        1 	(obj:38)
-t_x_{4}_{15}                                        1 	(obj:37)
-t_x_{5}_{15}                                        1 	(obj:37)
-t_x_{6}_{0}                                         1 	(obj:20)
-dualbound = 198.000000, lowerbound=46.000000, norm of subgrad 5.830952	objective value:                                  118
-t_x_{1}_{0}                                         1 	(obj:35)
-t_x_{2}_{0}                                         1 	(obj:33)
-t_x_{3}_{0}                                         1 	(obj:38)
-t_x_{4}_{0}                                         1 	(obj:39)
-t_x_{5}_{0}                                         1 	(obj:39)
-t_x_{6}_{0}                                         1 	(obj:20)
-dualbound = 204.000000, lowerbound=1.000000, norm of subgrad 6.782330	objective value:                                  112
-t_x_{1}_{15}                                        1 	(obj:34)
-t_x_{2}_{15}                                        1 	(obj:34)
-t_x_{3}_{15}                                        1 	(obj:38)
-t_x_{4}_{15}                                        1 	(obj:37)
-t_x_{5}_{15}                                        1 	(obj:37)
-t_x_{6}_{0}                                         1 	(obj:22)
-dualbound = 202.000000, lowerbound=75.000000, norm of subgrad 6.480741	objective value:                                  119
-t_x_{1}_{0}                                         1 	(obj:36)
-t_x_{2}_{0}                                         1 	(obj:34)
-t_x_{3}_{0}                                         1 	(obj:40)
-t_x_{4}_{15}                                        1 	(obj:40)
-t_x_{5}_{15}                                        1 	(obj:40)
-t_x_{6}_{0}                                         1 	(obj:22)
-dualbound = 212.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  122
-t_x_{1}_{15}                                        1 	(obj:36)
-t_x_{2}_{15}                                        1 	(obj:36)
-t_x_{3}_{15}                                        1 	(obj:42)
-t_x_{4}_{15}                                        1 	(obj:41)
-t_x_{5}_{15}                                        1 	(obj:41)
-t_x_{6}_{0}                                         1 	(obj:22)
-dualbound = 218.000000, lowerbound=75.000000, norm of subgrad 6.480741	objective value:                                  117
-t_x_{1}_{0}                                         1 	(obj:36)
-t_x_{2}_{0}                                         1 	(obj:34)
-t_x_{3}_{0}                                         1 	(obj:40)
-t_x_{4}_{0}                                         1 	(obj:42)
-t_x_{5}_{0}                                         1 	(obj:42)
-t_x_{6}_{0}                                         1 	(obj:22)
-dualbound = 216.000000, lowerbound=1.000000, norm of subgrad 6.782330	objective value:                                  124
-t_x_{1}_{15}                                        1 	(obj:37)
-t_x_{2}_{15}                                        1 	(obj:37)
-t_x_{3}_{15}                                        1 	(obj:44)
-t_x_{4}_{15}                                        1 	(obj:42)
-t_x_{5}_{15}                                        1 	(obj:42)
-t_x_{6}_{0}                                         1 	(obj:24)
-dualbound = 226.000000, lowerbound=75.000000, norm of subgrad 6.480741	objective value:                                  123
-t_x_{1}_{0}                                         1 	(obj:37)
-t_x_{2}_{0}                                         1 	(obj:35)
-t_x_{3}_{0}                                         1 	(obj:42)
-t_x_{4}_{0}                                         1 	(obj:45)
-t_x_{5}_{0}                                         1 	(obj:45)
-t_x_{6}_{0}                                         1 	(obj:24)
-dualbound = 228.000000, lowerbound=1.000000, norm of subgrad 6.782330	objective value:                                  126
-t_x_{1}_{15}                                        1 	(obj:38)
-t_x_{2}_{15}                                        1 	(obj:38)
-t_x_{3}_{15}                                        1 	(obj:46)
-t_x_{4}_{15}                                        1 	(obj:43)
-t_x_{5}_{15}                                        1 	(obj:43)
-t_x_{6}_{0}                                         1 	(obj:26)
-dualbound = 234.000000, lowerbound=75.000000, norm of subgrad 6.480741	objective value:                                  125
-t_x_{1}_{0}                                         1 	(obj:38)
-t_x_{2}_{0}                                         1 	(obj:36)
-t_x_{3}_{0}                                         1 	(obj:44)
-t_x_{4}_{15}                                        1 	(obj:46)
-t_x_{5}_{15}                                        1 	(obj:46)
-t_x_{6}_{0}                                         1 	(obj:26)
-dualbound = 236.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  130
-t_x_{1}_{0}                                         1 	(obj:40)
-t_x_{2}_{0}                                         1 	(obj:38)
-t_x_{3}_{0}                                         1 	(obj:46)
-t_x_{4}_{15}                                        1 	(obj:47)
-t_x_{5}_{15}                                        1 	(obj:47)
-t_x_{6}_{0}                                         1 	(obj:26)
-dualbound = 244.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  132
-t_x_{1}_{15}                                        1 	(obj:40)
-t_x_{2}_{0}                                         1 	(obj:40)
-t_x_{3}_{0}                                         1 	(obj:48)
-t_x_{4}_{15}                                        1 	(obj:48)
-t_x_{5}_{15}                                        1 	(obj:48)
-t_x_{6}_{0}                                         1 	(obj:26)
-dualbound = 250.000000, lowerbound=45.000000, norm of subgrad 5.656854	objective value:                                  134
-t_x_{1}_{15}                                        1 	(obj:41)
-t_x_{2}_{15}                                        1 	(obj:40)
-t_x_{3}_{0}                                         1 	(obj:49)
-t_x_{4}_{15}                                        1 	(obj:49)
-t_x_{5}_{0}                                         1 	(obj:50)
-t_x_{6}_{0}                                         1 	(obj:26)
-dualbound = 255.000000, lowerbound=45.000000, norm of subgrad 5.830952	objective value:                                  135
-t_x_{1}_{0}                                         1 	(obj:42)
-t_x_{2}_{0}                                         1 	(obj:40)
-t_x_{3}_{0}                                         1 	(obj:50)
-t_x_{4}_{15}                                        1 	(obj:50)
-t_x_{5}_{15}                                        1 	(obj:50)
-t_x_{6}_{0}                                         1 	(obj:27)
-dualbound = 259.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  136
-t_x_{1}_{15}                                        1 	(obj:41)
-t_x_{2}_{15}                                        1 	(obj:41)
-t_x_{3}_{15}                                        1 	(obj:52)
-t_x_{4}_{15}                                        1 	(obj:51)
-t_x_{5}_{15}                                        1 	(obj:51)
-t_x_{6}_{0}                                         1 	(obj:27)
-dualbound = 263.000000, lowerbound=75.000000, norm of subgrad 6.480741	objective value:                                  133
-t_x_{1}_{0}                                         1 	(obj:42)
-t_x_{2}_{0}                                         1 	(obj:40)
-t_x_{3}_{0}                                         1 	(obj:50)
-t_x_{4}_{0}                                         1 	(obj:52)
-t_x_{5}_{0}                                         1 	(obj:52)
-t_x_{6}_{0}                                         1 	(obj:27)
-dualbound = 263.000000, lowerbound=1.000000, norm of subgrad 6.782330	objective value:                                  138
-t_x_{1}_{15}                                        1 	(obj:42)
-t_x_{2}_{15}                                        1 	(obj:42)
-t_x_{3}_{15}                                        1 	(obj:54)
-t_x_{4}_{15}                                        1 	(obj:52)
-t_x_{5}_{15}                                        1 	(obj:52)
-t_x_{6}_{0}                                         1 	(obj:29)
-dualbound = 271.000000, lowerbound=75.000000, norm of subgrad 6.480741	objective value:                                  139
-t_x_{1}_{0}                                         1 	(obj:43)
-t_x_{2}_{0}                                         1 	(obj:41)
-t_x_{3}_{0}                                         1 	(obj:52)
-t_x_{4}_{0}                                         1 	(obj:55)
-t_x_{5}_{0}                                         1 	(obj:55)
-t_x_{6}_{0}                                         1 	(obj:29)
-dualbound = 275.000000, lowerbound=1.000000, norm of subgrad 6.782330	objective value:                                  140
-t_x_{1}_{15}                                        1 	(obj:43)
-t_x_{2}_{15}                                        1 	(obj:43)
-t_x_{3}_{15}                                        1 	(obj:56)
-t_x_{4}_{15}                                        1 	(obj:53)
-t_x_{5}_{15}                                        1 	(obj:53)
-t_x_{6}_{0}                                         1 	(obj:31)
-dualbound = 279.000000, lowerbound=75.000000, norm of subgrad 6.480741	objective value:                                  141
-t_x_{1}_{0}                                         1 	(obj:44)
-t_x_{2}_{0}                                         1 	(obj:42)
-t_x_{3}_{0}                                         1 	(obj:54)
-t_x_{4}_{15}                                        1 	(obj:56)
-t_x_{5}_{15}                                        1 	(obj:56)
-t_x_{6}_{0}                                         1 	(obj:31)
-dualbound = 283.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  145
-t_x_{1}_{15}                                        1 	(obj:45)
-t_x_{2}_{0}                                         1 	(obj:44)
-t_x_{3}_{0}                                         1 	(obj:56)
-t_x_{4}_{15}                                        1 	(obj:57)
-t_x_{5}_{15}                                        1 	(obj:57)
-t_x_{6}_{0}                                         1 	(obj:31)
-dualbound = 290.000000, lowerbound=45.000000, norm of subgrad 5.656854	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:46)
-t_x_{2}_{15}                                        1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:57)
-t_x_{4}_{15}                                        1 	(obj:58)
-t_x_{5}_{0}                                         1 	(obj:59)
-t_x_{6}_{0}                                         1 	(obj:31)
-dualbound = 296.000000, lowerbound=45.000000, norm of subgrad 5.830952	objective value:                                  147
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:44)
-t_x_{3}_{0}                                         1 	(obj:58)
-t_x_{4}_{15}                                        1 	(obj:59)
-t_x_{5}_{15}                                        1 	(obj:59)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 298.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  150
-t_x_{1}_{15}                                        1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:46)
-t_x_{3}_{0}                                         1 	(obj:60)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 304.000000, lowerbound=45.000000, norm of subgrad 5.656854	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	objective value:                                  148
-t_x_{1}_{15}                                        1 	(obj:47)
-t_x_{2}_{15}                                        1 	(obj:46)
-t_x_{3}_{30}                                        1 	(obj:60)
-t_x_{4}_{30}                                        1 	(obj:60)
-t_x_{5}_{30}                                        1 	(obj:60)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 305.000000, lowerbound=120.000000, norm of subgrad 5.830952	objective value:                                  146
-t_x_{1}_{0}                                         1 	(obj:46)
-t_x_{2}_{0}                                         1 	(obj:45)
-t_x_{3}_{0}                                         1 	(obj:59)
-t_x_{4}_{15}                                        1 	(obj:60)
-t_x_{5}_{15}                                        1 	(obj:61)
-t_x_{6}_{0}                                         1 	(obj:32)
-dualbound = 303.000000, lowerbound=31.000000, norm of subgrad 5.830952	
\ No newline at end of file
+dualbound = 1.000000, lowerbound=1.000000, norm of subgrad 7.280110	 stepsize= 8.000000 
+ then dual = 8.000000 step size 8.000000, subgradient 1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 16.000000 step size 8.000000, subgradient 2.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 16.000000 step size 8.000000, subgradient 2.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 16.000000 step size 8.000000, subgradient 2.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 8.000000, subgradient -1.000000 
+objective value:                                   34
+t_x_{1}_{15}                                        1 	(obj:15)
+t_x_{2}_{15}                                        1 	(obj:15)
+t_x_{3}_{15}                                        1 	(obj:15)
+t_x_{4}_{15}                                        1 	(obj:15)
+t_x_{5}_{15}                                        1 	(obj:15)
+t_x_{6}_{15}                                        1 	(obj:15)
+dualbound = 90.000000, lowerbound=90.000000, norm of subgrad 6.952218	 stepsize= 3.333333 
+ then dual = 4.666667 step size 3.333333, subgradient -1.000000 
+ then dual = 3.333333 step size 3.333333, subgradient 1.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 12.666667 step size 3.333333, subgradient -1.000000 
+ then dual = 6.666667 step size 3.333333, subgradient 2.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 12.666667 step size 3.333333, subgradient -1.000000 
+ then dual = 6.666667 step size 3.333333, subgradient 2.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 12.666667 step size 3.333333, subgradient -1.000000 
+ then dual = 6.666667 step size 3.333333, subgradient 2.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+ then dual = 0.000000 step size 3.333333, subgradient -1.000000 
+objective value:                     58.3333333333333
+t_x_{1}_{0}                                         1 	(obj:18.3333333333333)
+t_x_{2}_{0}                                         1 	(obj:17.3333333333333)
+t_x_{3}_{0}                                         1 	(obj:25.3333333333333)
+t_x_{4}_{0}                                         1 	(obj:25.3333333333333)
+t_x_{5}_{0}                                         1 	(obj:25.3333333333333)
+t_x_{6}_{0}                                         1 	(obj:12.6666666666667)
+dualbound = 124.333333, lowerbound=1.000000, norm of subgrad 6.825198	 stepsize= 1.583333 
+ then dual = 6.250000 step size 1.583333, subgradient 1.000000 
+ then dual = 1.750000 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 15.833333 step size 1.583333, subgradient 2.000000 
+ then dual = 5.083333 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 15.833333 step size 1.583333, subgradient 2.000000 
+ then dual = 5.083333 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 15.833333 step size 1.583333, subgradient 2.000000 
+ then dual = 5.083333 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+ then dual = 0.000000 step size 1.583333, subgradient -1.000000 
+objective value:                                64.25
+t_x_{1}_{15}                                        1 	(obj:21.8333333333333)
+t_x_{2}_{15}                                        1 	(obj:21.8333333333333)
+t_x_{3}_{15}                                        1 	(obj:25.1666666666667)
+t_x_{4}_{15}                                        1 	(obj:25.1666666666667)
+t_x_{5}_{15}                                        1 	(obj:25.1666666666667)
+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
+dualbound = 135.000000, lowerbound=75.000000, norm of subgrad 6.489735	 stepsize= 1.116667 
+ then dual = 5.133333 step size 1.116667, subgradient -1.000000 
+ then dual = 2.866667 step size 1.116667, subgradient 1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 14.716667 step size 1.116667, subgradient -1.000000 
+ then dual = 7.316667 step size 1.116667, subgradient 2.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 14.716667 step size 1.116667, subgradient -1.000000 
+ then dual = 7.316667 step size 1.116667, subgradient 2.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 15.833333 step size 1.116667, subgradient 0.000000 
+ then dual = 6.200000 step size 1.116667, subgradient 1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+ then dual = 0.000000 step size 1.116667, subgradient -1.000000 
+objective value:                                 68.9
+t_x_{1}_{0}                                         1 	(obj:20.85)
+t_x_{2}_{0}                                         1 	(obj:19.85)
+t_x_{3}_{0}                                         1 	(obj:29.4333333333333)
+t_x_{4}_{15}                                        1 	(obj:28.5166666666667)
+t_x_{5}_{15}                                        1 	(obj:28.5166666666667)
+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
+dualbound = 143.000000, lowerbound=31.000000, norm of subgrad 5.832619	 stepsize= 1.019444 
+ then dual = 6.152778 step size 1.019444, subgradient 1.000000 
+ then dual = 1.847222 step size 1.019444, subgradient -1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 15.736111 step size 1.019444, subgradient 1.000000 
+ then dual = 7.316667 step size 1.019444, subgradient 0.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 15.736111 step size 1.019444, subgradient 1.000000 
+ then dual = 7.316667 step size 1.019444, subgradient 0.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 15.833333 step size 1.019444, subgradient 0.000000 
+ then dual = 7.219444 step size 1.019444, subgradient 1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+ then dual = 0.000000 step size 1.019444, subgradient -1.000000 
+objective value:                     72.1583333333333
+t_x_{1}_{0}                                         1 	(obj:22.8888888888889)
+t_x_{2}_{0}                                         1 	(obj:21.8888888888889)
+t_x_{3}_{15}                                        1 	(obj:29.6333333333333)
+t_x_{4}_{15}                                        1 	(obj:29.5361111111111)
+t_x_{5}_{15}                                        1 	(obj:29.5361111111111)
+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
+dualbound = 149.316667, lowerbound=46.000000, norm of subgrad 5.831190	 stepsize= 1.002778 
+ then dual = 7.155556 step size 1.002778, subgradient 1.000000 
+ then dual = 0.844444 step size 1.002778, subgradient -1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 15.736111 step size 1.002778, subgradient 0.000000 
+ then dual = 8.319444 step size 1.002778, subgradient 1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 15.736111 step size 1.002778, subgradient 0.000000 
+ then dual = 8.319444 step size 1.002778, subgradient 1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 15.833333 step size 1.002778, subgradient 0.000000 
+ then dual = 8.222222 step size 1.002778, subgradient 1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+ then dual = 0.000000 step size 1.002778, subgradient -1.000000 
+objective value:                                72.45
+t_x_{1}_{0}                                         1 	(obj:23.8916666666667)
+t_x_{2}_{0}                                         1 	(obj:22.8916666666667)
+t_x_{3}_{30}                                        1 	(obj:30)
+t_x_{4}_{30}                                        1 	(obj:30)
+t_x_{5}_{30}                                        1 	(obj:30)
+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
+dualbound = 152.616667, lowerbound=91.000000, norm of subgrad 5.830982	 stepsize= 1.000347 
+ then dual = 8.155903 step size 1.000347, subgradient 1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+ then dual = 15.736111 step size 1.000347, subgradient 0.000000 
+ then dual = 7.319097 step size 1.000347, subgradient -1.000000 
+ then dual = 1.000347 step size 1.000347, subgradient 1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+ then dual = 15.736111 step size 1.000347, subgradient 0.000000 
+ then dual = 7.319097 step size 1.000347, subgradient -1.000000 
+ then dual = 1.000347 step size 1.000347, subgradient 1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+ then dual = 15.833333 step size 1.000347, subgradient 0.000000 
+ then dual = 7.221875 step size 1.000347, subgradient -1.000000 
+ then dual = 1.000347 step size 1.000347, subgradient 1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000347, subgradient -1.000000 
+objective value:                     68.8690972222222
+t_x_{1}_{15}                                        1 	(obj:22.3190972222222)
+t_x_{2}_{15}                                        1 	(obj:22.3190972222222)
+t_x_{3}_{15}                                        1 	(obj:29.6381944444444)
+t_x_{4}_{15}                                        1 	(obj:29.5409722222222)
+t_x_{5}_{15}                                        1 	(obj:29.5409722222222)
+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
+dualbound = 149.191667, lowerbound=75.000000, norm of subgrad 6.480744	 stepsize= 1.000039 
+ then dual = 7.155864 step size 1.000039, subgradient -1.000000 
+ then dual = 1.000039 step size 1.000039, subgradient 1.000000 
+ then dual = 0.000000 step size 1.000039, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000039, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000039, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000039, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000039, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000039, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000039, subgradient -1.000000 
+ then dual = 14.736073 step size 1.000039, subgradient -1.000000 
+ then dual = 9.319174 step size 1.000039, subgradient 2.000000 
+ then dual = 0.000309 step size 1.000039, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000039, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000039, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000039, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000039, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000039, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000039, subgradient -1.000000 
+ then dual = 14.736073 step size 1.000039, subgradient -1.000000 
+ then dual = 9.319174 step size 1.000039, subgradient 2.000000 
+ then dual = 0.000309 step size 1.000039, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000039, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000039, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000039, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000039, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000039, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000039, subgradient -1.000000 
+ then dual = 15.833333 step size 1.000039, subgradient 0.000000 
+ then dual = 8.221914 step size 1.000039, subgradient 1.000000 
+ then dual = 0.000309 step size 1.000039, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000039, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000039, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000039, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000039, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000039, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000039, subgradient -1.000000 
+objective value:                     69.7680169753086
+t_x_{1}_{0}                                         1 	(obj:22.8919367283951)
+t_x_{2}_{0}                                         1 	(obj:21.8919367283951)
+t_x_{3}_{0}                                         1 	(obj:29.4721450617284)
+t_x_{4}_{30}                                        1 	(obj:30.0006172839506)
+t_x_{5}_{30}                                        1 	(obj:30.0006172839506)
+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
+dualbound = 150.090586, lowerbound=61.000000, norm of subgrad 5.830952	 stepsize= 1.000004 
+ then dual = 8.155868 step size 1.000004, subgradient 1.000000 
+ then dual = 0.000035 step size 1.000004, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000004, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000004, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000004, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000004, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000004, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000004, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000004, subgradient -1.000000 
+ then dual = 15.736076 step size 1.000004, subgradient 1.000000 
+ then dual = 8.319171 step size 1.000004, subgradient -1.000000 
+ then dual = 0.000309 step size 1.000004, subgradient 0.000000 
+ then dual = 0.000000 step size 1.000004, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000004, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000004, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000004, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000004, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000004, subgradient -1.000000 
+ then dual = 15.736076 step size 1.000004, subgradient 1.000000 
+ then dual = 8.319171 step size 1.000004, subgradient -1.000000 
+ then dual = 0.000309 step size 1.000004, subgradient 0.000000 
+ then dual = 0.000000 step size 1.000004, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000004, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000004, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000004, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000004, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000004, subgradient -1.000000 
+ then dual = 15.833333 step size 1.000004, subgradient 0.000000 
+ then dual = 7.221910 step size 1.000004, subgradient -1.000000 
+ then dual = 1.000312 step size 1.000004, subgradient 1.000000 
+ then dual = 0.000000 step size 1.000004, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000004, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000004, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000004, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000004, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000004, subgradient -1.000000 
+objective value:                     73.2319521604938
+t_x_{1}_{15}                                        1 	(obj:23.3192052469136)
+t_x_{2}_{15}                                        1 	(obj:23.3192052469136)
+t_x_{3}_{30}                                        1 	(obj:30.0006172839506)
+t_x_{4}_{15}                                        1 	(obj:30.5410802469136)
+t_x_{5}_{15}                                        1 	(obj:30.5410802469136)
+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
+dualbound = 153.554522, lowerbound=90.000000, norm of subgrad 5.830952	 stepsize= 1.000000 
+ then dual = 7.155868 step size 1.000000, subgradient -1.000000 
+ then dual = 1.000035 step size 1.000000, subgradient 1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 14.736076 step size 1.000000, subgradient -1.000000 
+ then dual = 9.319171 step size 1.000000, subgradient 1.000000 
+ then dual = 0.000309 step size 1.000000, subgradient 0.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 14.736076 step size 1.000000, subgradient -1.000000 
+ then dual = 9.319171 step size 1.000000, subgradient 1.000000 
+ then dual = 0.000309 step size 1.000000, subgradient 0.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 15.833333 step size 1.000000, subgradient 0.000000 
+ then dual = 8.221910 step size 1.000000, subgradient 1.000000 
+ then dual = 0.000312 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+objective value:                       69.76804503367
+t_x_{1}_{0}                                         1 	(obj:22.8919437429854)
+t_x_{2}_{0}                                         1 	(obj:21.8919437429854)
+t_x_{3}_{0}                                         1 	(obj:29.4721520763187)
+t_x_{4}_{30}                                        1 	(obj:30.0006207912458)
+t_x_{5}_{30}                                        1 	(obj:30.0006207912458)
+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
+dualbound = 150.090614, lowerbound=61.000000, norm of subgrad 5.830952	 stepsize= 1.000000 
+ then dual = 8.155868 step size 1.000000, subgradient 1.000000 
+ then dual = 0.000035 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 15.736076 step size 1.000000, subgradient 1.000000 
+ then dual = 8.319171 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000309 step size 1.000000, subgradient 0.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 15.736076 step size 1.000000, subgradient 1.000000 
+ then dual = 8.319171 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000309 step size 1.000000, subgradient 0.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 15.833333 step size 1.000000, subgradient 0.000000 
+ then dual = 7.221910 step size 1.000000, subgradient -1.000000 
+ then dual = 1.000312 step size 1.000000, subgradient 1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+objective value:                     73.2319547325103
+t_x_{1}_{15}                                        1 	(obj:23.3192058899177)
+t_x_{2}_{15}                                        1 	(obj:23.3192058899177)
+t_x_{3}_{30}                                        1 	(obj:30.0006172839506)
+t_x_{4}_{15}                                        1 	(obj:30.5410808899177)
+t_x_{5}_{15}                                        1 	(obj:30.5410808899177)
+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
+dualbound = 153.554524, lowerbound=90.000000, norm of subgrad 5.830952	 stepsize= 1.000000 
+ then dual = 7.155868 step size 1.000000, subgradient -1.000000 
+ then dual = 1.000035 step size 1.000000, subgradient 1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 14.736076 step size 1.000000, subgradient -1.000000 
+ then dual = 9.319171 step size 1.000000, subgradient 1.000000 
+ then dual = 0.000309 step size 1.000000, subgradient 0.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 14.736076 step size 1.000000, subgradient -1.000000 
+ then dual = 9.319171 step size 1.000000, subgradient 1.000000 
+ then dual = 0.000309 step size 1.000000, subgradient 0.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 15.833333 step size 1.000000, subgradient 0.000000 
+ then dual = 8.221910 step size 1.000000, subgradient 1.000000 
+ then dual = 0.000312 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
+ then dual = 0.000000 step size 1.000000, subgradient -1.000000 
diff --git a/iter.txt b/iter.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/lowerbounds.txt b/lowerbounds.txt
index 78a0c6f4ca97f15ca8e5bf2587b5a8520e4c78b4..7d03f0a5a64b4784a3587dc24c0a53918f1f1048 100644
--- a/lowerbounds.txt
+++ b/lowerbounds.txt
@@ -1,126 +1,444 @@
-125
-1.000000
-1.000000
-1.000000
-1.000000
-1.000000
-1.000000
-1.000000
-1.000000
-46.000000
-1.000000
-46.000000
-46.000000
-46.000000
-1.000000
-75.000000
-46.000000
-1.000000
-75.000000
-31.000000
-75.000000
-1.000000
-75.000000
-1.000000
-75.000000
-31.000000
-31.000000
-45.000000
-45.000000
-31.000000
-75.000000
-1.000000
-75.000000
-1.000000
-75.000000
-31.000000
-45.000000
-45.000000
-31.000000
-45.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
-120.000000
-31.000000
+hi1.000000
+1 iteration 
+objective value:                                    1
+t_x_{1}_{0}                                         1 	(obj:1)
+t_x_{2}_{0}                                         1 	(obj:0)
+t_x_{3}_{0}                                         1 	(obj:0)
+t_x_{4}_{0}                                         1 	(obj:0)
+t_x_{5}_{0}                                         1 	(obj:0)
+t_x_{6}_{0}                                         1 	(obj:0)
+34.000000
+2 iteration 
+objective value:                                   34
+t_x_{1}_{15}                                        1 	(obj:15)
+t_x_{2}_{15}                                        1 	(obj:15)
+t_x_{3}_{15}                                        1 	(obj:15)
+t_x_{4}_{15}                                        1 	(obj:15)
+t_x_{5}_{15}                                        1 	(obj:15)
+t_x_{6}_{15}                                        1 	(obj:15)
+objective value:                                  105
+t_x_{1}_{0}                                         1 	(obj:25)
+t_x_{2}_{0}                                         1 	(obj:24)
+t_x_{3}_{0}                                         1 	(obj:32)
+t_x_{4}_{0}                                         1 	(obj:32)
+t_x_{5}_{0}                                         1 	(obj:32)
+t_x_{6}_{0}                                         1 	(obj:16)
+58.333333
+3 iteration 
+objective value:                     58.3333333333333
+t_x_{1}_{0}                                         1 	(obj:18.3333333333333)
+t_x_{2}_{0}                                         1 	(obj:17.3333333333333)
+t_x_{3}_{0}                                         1 	(obj:25.3333333333333)
+t_x_{4}_{0}                                         1 	(obj:25.3333333333333)
+t_x_{5}_{0}                                         1 	(obj:25.3333333333333)
+t_x_{6}_{0}                                         1 	(obj:12.6666666666667)
+objective value:                     90.6666666666667
+t_x_{1}_{15}                                        1 	(obj:25)
+t_x_{2}_{15}                                        1 	(obj:25)
+t_x_{3}_{15}                                        1 	(obj:28.3333333333333)
+t_x_{4}_{15}                                        1 	(obj:28.3333333333333)
+t_x_{5}_{15}                                        1 	(obj:28.3333333333333)
+t_x_{6}_{15}                                        1 	(obj:21.6666666666667)
+64.250000
+4 iteration 
+objective value:                                64.25
+t_x_{1}_{15}                                        1 	(obj:21.8333333333333)
+t_x_{2}_{15}                                        1 	(obj:21.8333333333333)
+t_x_{3}_{15}                                        1 	(obj:25.1666666666667)
+t_x_{4}_{15}                                        1 	(obj:25.1666666666667)
+t_x_{5}_{15}                                        1 	(obj:25.1666666666667)
+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
+objective value:                                 68.5
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+t_x_{4}_{15}                                        1 	(obj:25.1666666666667)
+t_x_{5}_{15}                                        1 	(obj:25.1666666666667)
+t_x_{6}_{15}                                        1 	(obj:20.0833333333333)
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+t_x_{5}_{0}                                         1 	(obj:31.6666666666667)
+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
+68.900000
+5 iteration 
+objective value:                                 68.9
+t_x_{1}_{0}                                         1 	(obj:20.85)
+t_x_{2}_{0}                                         1 	(obj:19.85)
+t_x_{3}_{0}                                         1 	(obj:29.4333333333333)
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+t_x_{5}_{15}                                        1 	(obj:28.5166666666667)
+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
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+t_x_{1}_{0}                                         1 	(obj:20.85)
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+t_x_{5}_{0}                                         1 	(obj:30.55)
+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
+objective value:                     78.7666666666667
+t_x_{1}_{15}                                        1 	(obj:25.1833333333333)
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+t_x_{4}_{15}                                        1 	(obj:28.5166666666667)
+t_x_{5}_{15}                                        1 	(obj:28.5166666666667)
+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
+objective value:                     84.1333333333333
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+t_x_{5}_{15}                                        1 	(obj:28.5166666666667)
+t_x_{6}_{15}                                        1 	(obj:21.2)
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+6 iteration 
+objective value:                     72.1583333333333
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+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
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+7 iteration 
+objective value:                                72.45
+t_x_{1}_{0}                                         1 	(obj:23.8916666666667)
+t_x_{2}_{0}                                         1 	(obj:22.8916666666667)
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+8 iteration 
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+9 iteration 
+objective value:                     69.7680169753086
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+10 iteration 
+objective value:                     73.2319521604938
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+t_x_{6}_{15}                                        1 	(obj:22.2219097222222)
+69.768045
+11 iteration 
+objective value:                       69.76804503367
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+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
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+t_x_{1}_{0}                                         1 	(obj:22.8919437429854)
+t_x_{2}_{0}                                         1 	(obj:21.8919437429854)
+t_x_{3}_{15}                                        1 	(obj:33.6383417508418)
+t_x_{4}_{15}                                        1 	(obj:32.5410809483726)
+t_x_{5}_{15}                                        1 	(obj:32.5410809483726)
+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
+objective value:                       81.23195496633
+t_x_{1}_{15}                                        1 	(obj:25.3192059483726)
+t_x_{2}_{15}                                        1 	(obj:25.3192059483726)
+t_x_{3}_{30}                                        1 	(obj:30.0006172839506)
+t_x_{4}_{15}                                        1 	(obj:32.5410809483726)
+t_x_{5}_{15}                                        1 	(obj:32.5410809483726)
+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
+objective value:                     84.8696794332211
+t_x_{1}_{15}                                        1 	(obj:25.3192059483726)
+t_x_{2}_{15}                                        1 	(obj:25.3192059483726)
+t_x_{3}_{15}                                        1 	(obj:33.6383417508418)
+t_x_{4}_{15}                                        1 	(obj:32.5410809483726)
+t_x_{5}_{15}                                        1 	(obj:32.5410809483726)
+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
+objective value:                     92.2582561728395
+t_x_{1}_{15}                                        1 	(obj:25.3192059483726)
+t_x_{2}_{15}                                        1 	(obj:25.3192059483726)
+t_x_{3}_{15}                                        1 	(obj:33.6383417508418)
+t_x_{4}_{15}                                        1 	(obj:32.5410809483726)
+t_x_{5}_{15}                                        1 	(obj:32.5410809483726)
+t_x_{6}_{15}                                        1 	(obj:23.2219100729517)
+73.231955
+12 iteration 
+objective value:                     73.2319547325103
+t_x_{1}_{15}                                        1 	(obj:23.3192058899177)
+t_x_{2}_{15}                                        1 	(obj:23.3192058899177)
+t_x_{3}_{30}                                        1 	(obj:30.0006172839506)
+t_x_{4}_{15}                                        1 	(obj:30.5410808899177)
+t_x_{5}_{15}                                        1 	(obj:30.5410808899177)
+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
+objective value:                     74.8696791409465
+t_x_{1}_{15}                                        1 	(obj:23.3192058899177)
+t_x_{2}_{15}                                        1 	(obj:23.3192058899177)
+t_x_{3}_{15}                                        1 	(obj:31.6383416923868)
+t_x_{4}_{15}                                        1 	(obj:30.5410808899177)
+t_x_{5}_{15}                                        1 	(obj:30.5410808899177)
+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
+objective value:                     76.2965104166667
+t_x_{1}_{0}                                         1 	(obj:24.8919438014403)
+t_x_{2}_{0}                                         1 	(obj:23.8919438014403)
+t_x_{3}_{30}                                        1 	(obj:30.0006172839506)
+t_x_{4}_{30}                                        1 	(obj:31.0006208204733)
+t_x_{5}_{30}                                        1 	(obj:31.0006208204733)
+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
+objective value:                     76.8489654063786
+t_x_{1}_{0}                                         1 	(obj:24.8919438014403)
+t_x_{2}_{0}                                         1 	(obj:23.8919438014403)
+t_x_{3}_{0}                                         1 	(obj:31.4721521347737)
+t_x_{4}_{15}                                        1 	(obj:30.5410808899177)
+t_x_{5}_{15}                                        1 	(obj:30.5410808899177)
+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
+objective value:                     77.0151549639918
+t_x_{1}_{0}                                         1 	(obj:24.8919438014403)
+t_x_{2}_{0}                                         1 	(obj:23.8919438014403)
+t_x_{3}_{15}                                        1 	(obj:31.6383416923868)
+t_x_{4}_{15}                                        1 	(obj:30.5410808899177)
+t_x_{5}_{15}                                        1 	(obj:30.5410808899177)
+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
+objective value:                     77.7680452674897
+t_x_{1}_{0}                                         1 	(obj:24.8919438014403)
+t_x_{2}_{0}                                         1 	(obj:23.8919438014403)
+t_x_{3}_{0}                                         1 	(obj:31.4721521347737)
+t_x_{4}_{30}                                        1 	(obj:31.0006208204733)
+t_x_{5}_{30}                                        1 	(obj:31.0006208204733)
+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
+objective value:                     78.9056224279835
+t_x_{1}_{0}                                         1 	(obj:24.8919438014403)
+t_x_{2}_{0}                                         1 	(obj:23.8919438014403)
+t_x_{3}_{0}                                         1 	(obj:31.4721521347737)
+t_x_{4}_{0}                                         1 	(obj:31.5694094007202)
+t_x_{5}_{0}                                         1 	(obj:31.5694094007202)
+t_x_{6}_{0}                                         1 	(obj:15.8333333333333)
+objective value:                     81.2582558513375
+t_x_{1}_{15}                                        1 	(obj:23.3192058899177)
+t_x_{2}_{15}                                        1 	(obj:23.3192058899177)
+t_x_{3}_{15}                                        1 	(obj:31.6383416923868)
+t_x_{4}_{15}                                        1 	(obj:30.5410808899177)
+t_x_{5}_{15}                                        1 	(obj:30.5410808899177)
+t_x_{6}_{15}                                        1 	(obj:22.2219100437243)
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 c2db07a9ecb010c3e7311773f33c86d84a0ff64d..757328c18c9ca2bb7f6d5832b3ba13ad617c4064 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/sol.txt b/sol.txt
index d0a9be5499b453756e40227fa89f549fa2164f11..1444bccb443d0c629d11e80cc62e10b208544e4a 100644
--- a/sol.txt
+++ b/sol.txt
@@ -1,2501 +1,25 @@
-number of solutions 1, first iteration 	 bound=969553.451655, 	 objsol=969553.451655 
-lowerbound = 969553.451655 
- number of solutions 2, first iteration 	 bound=976295.295680, 	 objsol=976295.295680 
-lowerbound = 972079.295680 
- number of solutions 3, first iteration 	 bound=979989.885456, 	 objsol=979989.885456 
-lowerbound = 971705.885456 
- number of solutions 4, first iteration 	 bound=981546.032377, 	 objsol=981546.032377 
-lowerbound = 972062.699044 
- number of solutions 5, first iteration 	 bound=982519.413622, 	 objsol=982519.413622 
-lowerbound = 972219.530288 
- number of solutions 6, first iteration 	 bound=983319.592866, 	 objsol=983319.592866 
-lowerbound = 972393.906754 
- number of solutions 7, first iteration 	 bound=984060.160584, 	 objsol=984060.160584 
-lowerbound = 972472.132806 
- number of solutions 8, first iteration 	 bound=984767.614065, 	 objsol=984767.614065 
-lowerbound = 972744.289760 
- number of solutions 9, first iteration 	 bound=985456.707043, 	 objsol=985456.707043 
-lowerbound = 972947.332699 
- number of solutions 10, first iteration 	 bound=986132.709928, 	 objsol=986132.709928 
-lowerbound = 973096.014438 
- number of solutions 11, first iteration 	 bound=986807.014006, 	 objsol=986807.014006 
-lowerbound = 973344.326085 
- number of solutions 11, first iteration 	 bound=987437.844496, 	 objsol=987437.844496 
-lowerbound = 973672.649817 
- number of solutions 11, first iteration 	 bound=988103.285637, 	 objsol=988103.285637 
-lowerbound = 973624.885027 
- number of solutions 11, first iteration 	 bound=988738.039679, 	 objsol=988738.039679 
-lowerbound = 974159.300742 
- number of solutions 11, first iteration 	 bound=989330.626992, 	 objsol=989330.626992 
-lowerbound = 974005.656223 
- number of solutions 11, first iteration 	 bound=989953.387233, 	 objsol=989953.387233 
-lowerbound = 974722.637405 
- number of solutions 11, first iteration 	 bound=990534.301389, 	 objsol=990534.301389 
-lowerbound = 974643.379199 
- number of solutions 11, first iteration 	 bound=991125.229621, 	 objsol=991125.229621 
-lowerbound = 974991.795441 
- number of solutions 11, first iteration 	 bound=991695.036651, 	 objsol=991695.036651 
-lowerbound = 975101.651043 
- number of solutions 11, first iteration 	 bound=992257.869488, 	 objsol=992257.869488 
-lowerbound = 975053.365942 
- number of solutions 11, first iteration 	 bound=992848.406311, 	 objsol=992848.406311 
-lowerbound = 975265.593902 
- number of solutions 11, first iteration 	 bound=993386.852490, 	 objsol=993386.852490 
-lowerbound = 975878.027595 
- number of solutions 11, first iteration 	 bound=993929.526048, 	 objsol=993929.526048 
-lowerbound = 975741.585723 
- number of solutions 11, first iteration 	 bound=994484.640520, 	 objsol=994484.640520 
-lowerbound = 975492.564770 
- number of solutions 11, first iteration 	 bound=995039.010619, 	 objsol=995039.010619 
-lowerbound = 976197.156671 
- number of solutions 11, first iteration 	 bound=995571.296114, 	 objsol=995571.296114 
-lowerbound = 976458.143345 
- number of solutions 11, first iteration 	 bound=996110.902580, 	 objsol=996110.902580 
-lowerbound = 976207.014019 
- number of solutions 11, first iteration 	 bound=996638.843925, 	 objsol=996638.843925 
-lowerbound = 976600.907509 
- number of solutions 11, first iteration 	 bound=997181.484664, 	 objsol=997181.484664 
-lowerbound = 977013.697798 
- number of solutions 11, first iteration 	 bound=997652.237670, 	 objsol=997652.237670 
-lowerbound = 976876.385327 
- number of solutions 11, first iteration 	 bound=998201.821525, 	 objsol=998201.821525 
-lowerbound = 977123.700161 
- number of solutions 11, first iteration 	 bound=998677.432756, 	 objsol=998677.432756 
-lowerbound = 977283.011321 
- number of solutions 11, first iteration 	 bound=999195.182184, 	 objsol=999195.182184 
-lowerbound = 977641.838802 
- number of solutions 11, first iteration 	 bound=999671.894491, 	 objsol=999671.894491 
-lowerbound = 977549.895392 
- number of solutions 11, first iteration 	 bound=1000165.103285, 	 objsol=1000165.103285 
-lowerbound = 978292.464827 
- number of solutions 11, first iteration 	 bound=1000635.656196, 	 objsol=1000635.656196 
-lowerbound = 977913.392696 
- number of solutions 11, first iteration 	 bound=1001144.802893, 	 objsol=1001144.802893 
-lowerbound = 978592.761634 
- number of solutions 11, first iteration 	 bound=1001595.154229, 	 objsol=1001595.154229 
-lowerbound = 978451.473582 
- number of solutions 11, first iteration 	 bound=1002088.619259, 	 objsol=1002088.619259 
-lowerbound = 978788.984767 
- number of solutions 11, first iteration 	 bound=1002523.630517, 	 objsol=1002523.630517 
-lowerbound = 978511.043802 
- number of solutions 11, first iteration 	 bound=1003002.136346, 	 objsol=1003002.136346 
-lowerbound = 979073.105628 
- number of solutions 11, first iteration 	 bound=1003465.494294, 	 objsol=1003465.494294 
-lowerbound = 978948.581637 
- number of solutions 11, first iteration 	 bound=1003920.231445, 	 objsol=1003920.231445 
-lowerbound = 979492.837705 
- number of solutions 11, first iteration 	 bound=1004374.819425, 	 objsol=1004374.819425 
-lowerbound = 979221.656971 
- number of solutions 11, first iteration 	 bound=1004804.176516, 	 objsol=1004804.176516 
-lowerbound = 979824.207909 
- number of solutions 11, first iteration 	 bound=1005266.951113, 	 objsol=1005266.951113 
-lowerbound = 979802.769963 
- number of solutions 11, first iteration 	 bound=1005716.194503, 	 objsol=1005716.194503 
-lowerbound = 979468.834547 
- number of solutions 11, first iteration 	 bound=1006159.166336, 	 objsol=1006159.166336 
-lowerbound = 980429.254754 
- number of solutions 11, first iteration 	 bound=1006559.086161, 	 objsol=1006559.086161 
-lowerbound = 979864.461078 
- number of solutions 11, first iteration 	 bound=1007021.946556, 	 objsol=1007021.946556 
-lowerbound = 980717.605749 
- number of solutions 11, first iteration 	 bound=1007456.501578, 	 objsol=1007456.501578 
-lowerbound = 980202.535347 
- number of solutions 11, first iteration 	 bound=1007874.230546, 	 objsol=1007874.230546 
-lowerbound = 981096.897138 
- number of solutions 11, first iteration 	 bound=1008320.048429, 	 objsol=1008320.048429 
-lowerbound = 979951.872566 
- number of solutions 11, first iteration 	 bound=1008686.554037, 	 objsol=1008686.554037 
-lowerbound = 982008.778147 
- number of solutions 11, first iteration 	 bound=1009119.153768, 	 objsol=1009119.153768 
-lowerbound = 980966.435200 
- number of solutions 11, first iteration 	 bound=1009557.406446, 	 objsol=1009557.406446 
-lowerbound = 981751.510089 
- number of solutions 11, first iteration 	 bound=1009926.252053, 	 objsol=1009926.252053 
-lowerbound = 981863.993313 
- number of solutions 11, first iteration 	 bound=1010315.676186, 	 objsol=1010315.676186 
-lowerbound = 981812.747466 
- number of solutions 11, first iteration 	 bound=1010743.094829, 	 objsol=1010743.094829 
-lowerbound = 981721.854867 
- number of solutions 11, first iteration 	 bound=1011125.249830, 	 objsol=1011125.249830 
-lowerbound = 982600.218341 
- number of solutions 11, first iteration 	 bound=1011507.499627, 	 objsol=1011507.499627 
-lowerbound = 982234.023580 
- number of solutions 11, first iteration 	 bound=1011896.196532, 	 objsol=1011896.196532 
-lowerbound = 982665.073864 
- number of solutions 11, first iteration 	 bound=1012313.677244, 	 objsol=1012313.677244 
-lowerbound = 982997.583146 
- number of solutions 11, first iteration 	 bound=1012656.321805, 	 objsol=1012656.321805 
-lowerbound = 982644.805715 
- number of solutions 11, first iteration 	 bound=1013068.777982, 	 objsol=1013068.777982 
-lowerbound = 982979.803206 
- number of solutions 11, first iteration 	 bound=1013433.324285, 	 objsol=1013433.324285 
-lowerbound = 983354.135660 
- number of solutions 11, first iteration 	 bound=1013812.335850, 	 objsol=1013812.335850 
-lowerbound = 983025.502228 
- number of solutions 11, first iteration 	 bound=1014198.440340, 	 objsol=1014198.440340 
-lowerbound = 983876.318222 
- number of solutions 11, first iteration 	 bound=1014558.245469, 	 objsol=1014558.245469 
-lowerbound = 983649.970935 
- number of solutions 11, first iteration 	 bound=1014939.007257, 	 objsol=1014939.007257 
-lowerbound = 983470.752859 
- number of solutions 11, first iteration 	 bound=1015314.547218, 	 objsol=1015314.547218 
-lowerbound = 984215.923081 
- number of solutions 11, first iteration 	 bound=1015714.646138, 	 objsol=1015714.646138 
-lowerbound = 983775.869860 
- number of solutions 11, first iteration 	 bound=1016060.715449, 	 objsol=1016060.715449 
-lowerbound = 983871.132804 
- number of solutions 11, first iteration 	 bound=1016413.497399, 	 objsol=1016413.497399 
-lowerbound = 984168.730861 
- number of solutions 11, first iteration 	 bound=1016769.993251, 	 objsol=1016769.993251 
-lowerbound = 984598.675514 
- number of solutions 11, first iteration 	 bound=1017141.026413, 	 objsol=1017141.026413 
-lowerbound = 984792.283500 
- number of solutions 11, first iteration 	 bound=1017478.727605, 	 objsol=1017478.727605 
-lowerbound = 984237.317809 
- number of solutions 11, first iteration 	 bound=1017866.918843, 	 objsol=1017866.918843 
-lowerbound = 985302.849975 
- number of solutions 11, first iteration 	 bound=1018220.991859, 	 objsol=1018220.991859 
-lowerbound = 984533.682104 
- number of solutions 11, first iteration 	 bound=1018555.037781, 	 objsol=1018555.037781 
-lowerbound = 985216.225276 
- number of solutions 11, first iteration 	 bound=1018911.949815, 	 objsol=1018911.949815 
-lowerbound = 985202.197766 
- number of solutions 11, first iteration 	 bound=1019258.119121, 	 objsol=1019258.119121 
-lowerbound = 986330.804054 
- number of solutions 11, first iteration 	 bound=1019601.560976, 	 objsol=1019601.560976 
-lowerbound = 985881.465445 
- number of solutions 11, first iteration 	 bound=1019952.578841, 	 objsol=1019952.578841 
-lowerbound = 986439.833331 
- number of solutions 11, first iteration 	 bound=1020291.098566, 	 objsol=1020291.098566 
-lowerbound = 986440.837660 
- number of solutions 11, first iteration 	 bound=1020633.533809, 	 objsol=1020633.533809 
-lowerbound = 986653.654312 
- number of solutions 11, first iteration 	 bound=1020950.690954, 	 objsol=1020950.690954 
-lowerbound = 987160.688007 
- number of solutions 11, first iteration 	 bound=1021268.996316, 	 objsol=1021268.996316 
-lowerbound = 987062.619540 
- number of solutions 11, first iteration 	 bound=1021637.442315, 	 objsol=1021637.442315 
-lowerbound = 986712.993241 
- number of solutions 11, first iteration 	 bound=1021928.439955, 	 objsol=1021928.439955 
-lowerbound = 987858.248449 
- number of solutions 11, first iteration 	 bound=1022251.109648, 	 objsol=1022251.109648 
-lowerbound = 986521.039683 
- number of solutions 11, first iteration 	 bound=1022603.716580, 	 objsol=1022603.716580 
-lowerbound = 987984.017978 
- number of solutions 11, first iteration 	 bound=1022925.365688, 	 objsol=1022925.365688 
-lowerbound = 987938.773921 
- number of solutions 11, first iteration 	 bound=1023210.697721, 	 objsol=1023210.697721 
-lowerbound = 988017.437037 
- number of solutions 11, first iteration 	 bound=1023551.863531, 	 objsol=1023551.863531 
-lowerbound = 988542.166726 
- number of solutions 11, first iteration 	 bound=1023857.815512, 	 objsol=1023857.815512 
-lowerbound = 988178.587074 
- number of solutions 11, first iteration 	 bound=1024178.416046, 	 objsol=1024178.416046 
-lowerbound = 988832.705935 
- number of solutions 11, first iteration 	 bound=1024446.110439, 	 objsol=1024446.110439 
-lowerbound = 988940.839236 
- number of solutions 11, first iteration 	 bound=1024811.086680, 	 objsol=1024811.086680 
-lowerbound = 988663.109110 
- number of solutions 11, first iteration 	 bound=1025094.042294, 	 objsol=1025094.042294 
-lowerbound = 989098.089256 
- number of solutions 11, first iteration 	 bound=1025412.753476, 	 objsol=1025412.753476 
-lowerbound = 988955.102802 
- number of solutions 11, first iteration 	 bound=1025708.246495, 	 objsol=1025708.246495 
-lowerbound = 988814.802560 
- number of solutions 11, first iteration 	 bound=1026025.371332, 	 objsol=1026025.371332 
-lowerbound = 990364.504919 
- number of solutions 11, first iteration 	 bound=1026279.201125, 	 objsol=1026279.201125 
-lowerbound = 989544.448714 
- number of solutions 11, first iteration 	 bound=1026616.187272, 	 objsol=1026616.187272 
-lowerbound = 989462.594035 
- number of solutions 11, first iteration 	 bound=1026892.264198, 	 objsol=1026892.264198 
-lowerbound = 990098.369868 
- number of solutions 11, first iteration 	 bound=1027189.351288, 	 objsol=1027189.351288 
-lowerbound = 990610.960545 
- number of solutions 11, first iteration 	 bound=1027505.464777, 	 objsol=1027505.464777 
-lowerbound = 988785.516308 
- number of solutions 11, first iteration 	 bound=1027812.159157, 	 objsol=1027812.159157 
-lowerbound = 991755.712685 
- number of solutions 11, first iteration 	 bound=1028093.733665, 	 objsol=1028093.733665 
-lowerbound = 989848.644101 
- number of solutions 11, first iteration 	 bound=1028398.383747, 	 objsol=1028398.383747 
-lowerbound = 991261.240392 
- number of solutions 11, first iteration 	 bound=1028667.210419, 	 objsol=1028667.210419 
-lowerbound = 990719.393694 
- number of solutions 11, first iteration 	 bound=1028965.674388, 	 objsol=1028965.674388 
-lowerbound = 991599.356765 
- number of solutions 11, first iteration 	 bound=1029252.957650, 	 objsol=1029252.957650 
-lowerbound = 990302.217790 
- number of solutions 11, first iteration 	 bound=1029549.473892, 	 objsol=1029549.473892 
-lowerbound = 993238.298823 
- number of solutions 11, first iteration 	 bound=1029804.070628, 	 objsol=1029804.070628 
-lowerbound = 990433.526993 
- number of solutions 11, first iteration 	 bound=1030116.854003, 	 objsol=1030116.854003 
-lowerbound = 993398.723933 
- number of solutions 11, first iteration 	 bound=1030375.520262, 	 objsol=1030375.520262 
-lowerbound = 991400.085737 
- number of solutions 11, first iteration 	 bound=1030663.998185, 	 objsol=1030663.998185 
-lowerbound = 992541.628166 
- number of solutions 11, first iteration 	 bound=1030910.926755, 	 objsol=1030910.926755 
-lowerbound = 992221.148151 
- number of solutions 11, first iteration 	 bound=1031225.131340, 	 objsol=1031225.131340 
-lowerbound = 992773.760629 
- number of solutions 11, first iteration 	 bound=1031476.447390, 	 objsol=1031476.447390 
-lowerbound = 993087.526173 
- number of solutions 11, first iteration 	 bound=1031765.458605, 	 objsol=1031765.458605 
-lowerbound = 993216.274611 
- number of solutions 11, first iteration 	 bound=1032020.141832, 	 objsol=1032020.141832 
-lowerbound = 993362.695186 
- number of solutions 11, first iteration 	 bound=1032284.992516, 	 objsol=1032284.992516 
-lowerbound = 993576.286832 
- number of solutions 11, first iteration 	 bound=1032571.366126, 	 objsol=1032571.366126 
-lowerbound = 993066.696268 
- number of solutions 11, first iteration 	 bound=1032832.578281, 	 objsol=1032832.578281 
-lowerbound = 994129.301674 
- number of solutions 11, first iteration 	 bound=1033113.748418, 	 objsol=1033113.748418 
-lowerbound = 993142.900080 
- number of solutions 11, first iteration 	 bound=1033367.244507, 	 objsol=1033367.244507 
-lowerbound = 994481.066767 
- number of solutions 11, first iteration 	 bound=1033618.160930, 	 objsol=1033618.160930 
-lowerbound = 994467.112287 
- number of solutions 11, first iteration 	 bound=1033881.192989, 	 objsol=1033881.192989 
-lowerbound = 993715.523186 
- number of solutions 11, first iteration 	 bound=1034173.701320, 	 objsol=1034173.701320 
-lowerbound = 995001.597038 
- number of solutions 11, first iteration 	 bound=1034418.519117, 	 objsol=1034418.519117 
-lowerbound = 994549.219259 
- number of solutions 11, first iteration 	 bound=1034684.025189, 	 objsol=1034684.025189 
-lowerbound = 994338.016558 
- number of solutions 11, first iteration 	 bound=1034938.648922, 	 objsol=1034938.648922 
-lowerbound = 994361.975592 
- number of solutions 11, first iteration 	 bound=1035197.302647, 	 objsol=1035197.302647 
-lowerbound = 995027.239456 
- number of solutions 11, first iteration 	 bound=1035455.206608, 	 objsol=1035455.206608 
-lowerbound = 994708.278996 
- number of solutions 11, first iteration 	 bound=1035711.653363, 	 objsol=1035711.653363 
-lowerbound = 995417.369224 
- number of solutions 11, first iteration 	 bound=1035953.180558, 	 objsol=1035953.180558 
-lowerbound = 995377.409354 
- number of solutions 11, first iteration 	 bound=1036206.821844, 	 objsol=1036206.821844 
-lowerbound = 995883.489224 
- number of solutions 11, first iteration 	 bound=1036484.029946, 	 objsol=1036484.029946 
-lowerbound = 994610.735242 
- number of solutions 11, first iteration 	 bound=1036745.053247, 	 objsol=1036745.053247 
-lowerbound = 995464.760499 
- number of solutions 11, first iteration 	 bound=1036957.099668, 	 objsol=1036957.099668 
-lowerbound = 995270.856383 
- number of solutions 11, first iteration 	 bound=1037252.603359, 	 objsol=1037252.603359 
-lowerbound = 995768.010876 
- number of solutions 11, first iteration 	 bound=1037482.022916, 	 objsol=1037482.022916 
-lowerbound = 995978.863018 
- number of solutions 11, first iteration 	 bound=1037719.335781, 	 objsol=1037719.335781 
-lowerbound = 995951.864611 
- number of solutions 11, first iteration 	 bound=1037951.033140, 	 objsol=1037951.033140 
-lowerbound = 995920.518528 
- number of solutions 11, first iteration 	 bound=1038214.182663, 	 objsol=1038214.182663 
-lowerbound = 995973.922326 
- number of solutions 11, first iteration 	 bound=1038465.313227, 	 objsol=1038465.313227 
-lowerbound = 996221.531026 
- number of solutions 11, first iteration 	 bound=1038724.449888, 	 objsol=1038724.449888 
-lowerbound = 996857.625062 
- number of solutions 11, first iteration 	 bound=1038945.214992, 	 objsol=1038945.214992 
-lowerbound = 996720.239872 
- number of solutions 11, first iteration 	 bound=1039200.700282, 	 objsol=1039200.700282 
-lowerbound = 997230.878014 
- number of solutions 11, first iteration 	 bound=1039456.370456, 	 objsol=1039456.370456 
-lowerbound = 997512.985441 
- number of solutions 11, first iteration 	 bound=1039673.887692, 	 objsol=1039673.887692 
-lowerbound = 997491.527930 
- number of solutions 11, first iteration 	 bound=1039906.877630, 	 objsol=1039906.877630 
-lowerbound = 997420.735418 
- number of solutions 11, first iteration 	 bound=1040163.247111, 	 objsol=1040163.247111 
-lowerbound = 998364.734121 
- number of solutions 11, first iteration 	 bound=1040397.282178, 	 objsol=1040397.282178 
-lowerbound = 997621.610652 
- number of solutions 11, first iteration 	 bound=1040614.602138, 	 objsol=1040614.602138 
-lowerbound = 997282.280722 
- number of solutions 11, first iteration 	 bound=1040856.704899, 	 objsol=1040856.704899 
-lowerbound = 998348.907536 
- number of solutions 11, first iteration 	 bound=1041088.552968, 	 objsol=1041088.552968 
-lowerbound = 998873.902926 
- number of solutions 11, first iteration 	 bound=1041338.901204, 	 objsol=1041338.901204 
-lowerbound = 997755.779509 
- number of solutions 11, first iteration 	 bound=1041577.985686, 	 objsol=1041577.985686 
-lowerbound = 997951.124220 
- number of solutions 11, first iteration 	 bound=1041811.857535, 	 objsol=1041811.857535 
-lowerbound = 999654.115934 
- number of solutions 11, first iteration 	 bound=1042005.649259, 	 objsol=1042005.649259 
-lowerbound = 997256.072084 
- number of solutions 11, first iteration 	 bound=1042278.934400, 	 objsol=1042278.934400 
-lowerbound = 1000770.019656 
- number of solutions 11, first iteration 	 bound=1042495.277860, 	 objsol=1042495.277860 
-lowerbound = 997566.712856 
- number of solutions 11, first iteration 	 bound=1042731.921148, 	 objsol=1042731.921148 
-lowerbound = 999422.852710 
- number of solutions 11, first iteration 	 bound=1042979.856785, 	 objsol=1042979.856785 
-lowerbound = 997524.360185 
- number of solutions 11, first iteration 	 bound=1043189.458622, 	 objsol=1043189.458622 
-lowerbound = 999312.275575 
- number of solutions 11, first iteration 	 bound=1043422.934595, 	 objsol=1043422.934595 
-lowerbound = 998745.619106 
- number of solutions 11, first iteration 	 bound=1043643.175598, 	 objsol=1043643.175598 
-lowerbound = 999711.019673 
- number of solutions 11, first iteration 	 bound=1043865.262945, 	 objsol=1043865.262945 
-lowerbound = 999037.719193 
- number of solutions 11, first iteration 	 bound=1044107.657464, 	 objsol=1044107.657464 
-lowerbound = 999124.308703 
- number of solutions 11, first iteration 	 bound=1044321.422883, 	 objsol=1044321.422883 
-lowerbound = 999521.416216 
- number of solutions 11, first iteration 	 bound=1044562.698926, 	 objsol=1044562.698926 
-lowerbound = 999247.403368 
- number of solutions 11, first iteration 	 bound=1044779.930674, 	 objsol=1044779.930674 
-lowerbound = 999737.434291 
- number of solutions 11, first iteration 	 bound=1045000.421912, 	 objsol=1045000.421912 
-lowerbound = 999651.996694 
- number of solutions 11, first iteration 	 bound=1045238.843382, 	 objsol=1045238.843382 
-lowerbound = 999768.020225 
- number of solutions 11, first iteration 	 bound=1045440.760169, 	 objsol=1045440.760169 
-lowerbound = 1000442.473016 
- number of solutions 11, first iteration 	 bound=1045674.964419, 	 objsol=1045674.964419 
-lowerbound = 1000394.675578 
- number of solutions 11, first iteration 	 bound=1045885.759723, 	 objsol=1045885.759723 
-lowerbound = 1000961.637808 
- number of solutions 11, first iteration 	 bound=1046126.614678, 	 objsol=1046126.614678 
-lowerbound = 999274.318976 
- number of solutions 11, first iteration 	 bound=1046329.539895, 	 objsol=1046329.539895 
-lowerbound = 1000577.545470 
- number of solutions 11, first iteration 	 bound=1046573.067926, 	 objsol=1046573.067926 
-lowerbound = 1000282.655603 
- number of solutions 11, first iteration 	 bound=1046798.298249, 	 objsol=1046798.298249 
-lowerbound = 1001673.632158 
- number of solutions 11, first iteration 	 bound=1046995.746709, 	 objsol=1046995.746709 
-lowerbound = 1000268.125409 
- number of solutions 11, first iteration 	 bound=1047252.132756, 	 objsol=1047252.132756 
-lowerbound = 1001133.286943 
- number of solutions 11, first iteration 	 bound=1047424.821364, 	 objsol=1047424.821364 
-lowerbound = 1000424.031075 
- number of solutions 11, first iteration 	 bound=1047651.895248, 	 objsol=1047651.895248 
-lowerbound = 1001266.755568 
- number of solutions 11, first iteration 	 bound=1047873.532117, 	 objsol=1047873.532117 
-lowerbound = 1000770.662252 
- number of solutions 11, first iteration 	 bound=1048088.223493, 	 objsol=1048088.223493 
-lowerbound = 1001612.743667 
- number of solutions 11, first iteration 	 bound=1048305.443827, 	 objsol=1048305.443827 
-lowerbound = 1001467.061794 
- number of solutions 11, first iteration 	 bound=1048526.244156, 	 objsol=1048526.244156 
-lowerbound = 1000369.627469 
- number of solutions 11, first iteration 	 bound=1048723.683202, 	 objsol=1048723.683202 
-lowerbound = 1002621.223527 
- number of solutions 11, first iteration 	 bound=1048971.760859, 	 objsol=1048971.760859 
-lowerbound = 1000950.439134 
- number of solutions 11, first iteration 	 bound=1049144.754163, 	 objsol=1049144.754163 
-lowerbound = 1002729.967521 
- number of solutions 11, first iteration 	 bound=1049398.774571, 	 objsol=1049398.774571 
-lowerbound = 1001170.048798 
- number of solutions 11, first iteration 	 bound=1049583.552504, 	 objsol=1049583.552504 
-lowerbound = 1002230.810577 
- number of solutions 11, first iteration 	 bound=1049803.482165, 	 objsol=1049803.482165 
-lowerbound = 1001591.107526 
- number of solutions 11, first iteration 	 bound=1050004.067587, 	 objsol=1050004.067587 
-lowerbound = 1002159.927990 
- number of solutions 11, first iteration 	 bound=1050230.508328, 	 objsol=1050230.508328 
-lowerbound = 1003316.173925 
- number of solutions 11, first iteration 	 bound=1050436.860983, 	 objsol=1050436.860983 
-lowerbound = 1003087.977079 
- number of solutions 11, first iteration 	 bound=1050664.469111, 	 objsol=1050664.469111 
-lowerbound = 1002175.796292 
- number of solutions 11, first iteration 	 bound=1050844.630361, 	 objsol=1050844.630361 
-lowerbound = 1002460.884058 
- number of solutions 11, first iteration 	 bound=1051084.024004, 	 objsol=1051084.024004 
-lowerbound = 1004083.391892 
- number of solutions 11, first iteration 	 bound=1051301.274054, 	 objsol=1051301.274054 
-lowerbound = 1002686.369599 
- number of solutions 11, first iteration 	 bound=1051475.355777, 	 objsol=1051475.355777 
-lowerbound = 1002657.593143 
- number of solutions 11, first iteration 	 bound=1051684.522871, 	 objsol=1051684.522871 
-lowerbound = 1003024.039779 
- number of solutions 11, first iteration 	 bound=1051896.058541, 	 objsol=1051896.058541 
-lowerbound = 1003645.357575 
- number of solutions 11, first iteration 	 bound=1052135.164493, 	 objsol=1052135.164493 
-lowerbound = 1003281.261240 
- number of solutions 11, first iteration 	 bound=1052292.393567, 	 objsol=1052292.393567 
-lowerbound = 1003961.815469 
- number of solutions 11, first iteration 	 bound=1052514.020089, 	 objsol=1052514.020089 
-lowerbound = 1002021.535269 
- number of solutions 11, first iteration 	 bound=1052723.355414, 	 objsol=1052723.355414 
-lowerbound = 1007094.506698 
- number of solutions 11, first iteration 	 bound=1052932.185073, 	 objsol=1052932.185073 
-lowerbound = 1002211.615435 
- number of solutions 11, first iteration 	 bound=1053128.697971, 	 objsol=1053128.697971 
-lowerbound = 1004737.327892 
- number of solutions 11, first iteration 	 bound=1053292.806683, 	 objsol=1053292.806683 
-lowerbound = 1004169.324766 
- number of solutions 11, first iteration 	 bound=1053512.774454, 	 objsol=1053512.774454 
-lowerbound = 1005804.330227 
- number of solutions 11, first iteration 	 bound=1053735.895176, 	 objsol=1053735.895176 
-lowerbound = 1003445.677816 
- number of solutions 11, first iteration 	 bound=1053920.847179, 	 objsol=1053920.847179 
-lowerbound = 1006339.303808 
- number of solutions 11, first iteration 	 bound=1054127.368575, 	 objsol=1054127.368575 
-lowerbound = 1003740.410880 
- number of solutions 11, first iteration 	 bound=1054307.210422, 	 objsol=1054307.210422 
-lowerbound = 1005241.837092 
- number of solutions 11, first iteration 	 bound=1054516.645503, 	 objsol=1054516.645503 
-lowerbound = 1005256.422755 
- number of solutions 11, first iteration 	 bound=1054732.199149, 	 objsol=1054732.199149 
-lowerbound = 1005260.576136 
- number of solutions 11, first iteration 	 bound=1054899.989107, 	 objsol=1054899.989107 
-lowerbound = 1004649.104636 
- number of solutions 11, first iteration 	 bound=1055095.526426, 	 objsol=1055095.526426 
-lowerbound = 1006189.813573 
- number of solutions 11, first iteration 	 bound=1055326.487777, 	 objsol=1055326.487777 
-lowerbound = 1004546.346849 
- number of solutions 11, first iteration 	 bound=1055531.750006, 	 objsol=1055531.750006 
-lowerbound = 1005052.056532 
- number of solutions 11, first iteration 	 bound=1055689.690225, 	 objsol=1055689.690225 
-lowerbound = 1006104.244352 
- number of solutions 11, first iteration 	 bound=1055898.721814, 	 objsol=1055898.721814 
-lowerbound = 1005319.361992 
- number of solutions 11, first iteration 	 bound=1056097.403927, 	 objsol=1056097.403927 
-lowerbound = 1005534.569414 
- number of solutions 11, first iteration 	 bound=1056281.100847, 	 objsol=1056281.100847 
-lowerbound = 1006384.143622 
- number of solutions 11, first iteration 	 bound=1056462.291440, 	 objsol=1056462.291440 
-lowerbound = 1005637.255882 
- number of solutions 11, first iteration 	 bound=1056675.685613, 	 objsol=1056675.685613 
-lowerbound = 1004894.408791 
- number of solutions 11, first iteration 	 bound=1056889.380027, 	 objsol=1056889.380027 
-lowerbound = 1006256.164818 
- number of solutions 11, first iteration 	 bound=1057068.024985, 	 objsol=1057068.024985 
-lowerbound = 1006048.253411 
- number of solutions 11, first iteration 	 bound=1057244.977742, 	 objsol=1057244.977742 
-lowerbound = 1005264.842930 
- number of solutions 11, first iteration 	 bound=1057452.122063, 	 objsol=1057452.122063 
-lowerbound = 1007006.853685 
- number of solutions 11, first iteration 	 bound=1057651.830905, 	 objsol=1057651.830905 
-lowerbound = 1005861.933453 
- number of solutions 11, first iteration 	 bound=1057849.597764, 	 objsol=1057849.597764 
-lowerbound = 1007022.583429 
- number of solutions 11, first iteration 	 bound=1058033.998093, 	 objsol=1058033.998093 
-lowerbound = 1005746.322492 
- number of solutions 11, first iteration 	 bound=1058207.025085, 	 objsol=1058207.025085 
-lowerbound = 1007821.902896 
- number of solutions 11, first iteration 	 bound=1058411.995686, 	 objsol=1058411.995686 
-lowerbound = 1004855.915211 
- number of solutions 11, first iteration 	 bound=1058615.919933, 	 objsol=1058615.919933 
-lowerbound = 1007841.266426 
- number of solutions 11, first iteration 	 bound=1058803.092237, 	 objsol=1058803.092237 
-lowerbound = 1006683.165769 
- number of solutions 11, first iteration 	 bound=1058978.480780, 	 objsol=1058978.480780 
-lowerbound = 1007229.406014 
- number of solutions 11, first iteration 	 bound=1059190.349994, 	 objsol=1059190.349994 
-lowerbound = 1007054.002478 
- number of solutions 11, first iteration 	 bound=1059372.801971, 	 objsol=1059372.801971 
-lowerbound = 1007606.682453 
- number of solutions 11, first iteration 	 bound=1059529.822350, 	 objsol=1059529.822350 
-lowerbound = 1005616.898769 
- number of solutions 11, first iteration 	 bound=1059745.164402, 	 objsol=1059745.164402 
-lowerbound = 1008509.486930 
- number of solutions 11, first iteration 	 bound=1059945.662995, 	 objsol=1059945.662995 
-lowerbound = 1005764.457074 
- number of solutions 11, first iteration 	 bound=1060120.263115, 	 objsol=1060120.263115 
-lowerbound = 1008427.283744 
- number of solutions 11, first iteration 	 bound=1060323.541690, 	 objsol=1060323.541690 
-lowerbound = 1006793.674217 
- number of solutions 11, first iteration 	 bound=1060487.831633, 	 objsol=1060487.831633 
-lowerbound = 1008123.217973 
- number of solutions 11, first iteration 	 bound=1060687.395280, 	 objsol=1060687.395280 
-lowerbound = 1005681.152760 
- number of solutions 11, first iteration 	 bound=1060860.535553, 	 objsol=1060860.535553 
-lowerbound = 1008535.327622 
- number of solutions 11, first iteration 	 bound=1061050.876336, 	 objsol=1061050.876336 
-lowerbound = 1007020.520530 
- number of solutions 11, first iteration 	 bound=1061247.801185, 	 objsol=1061247.801185 
-lowerbound = 1007742.023963 
- number of solutions 11, first iteration 	 bound=1061436.076455, 	 objsol=1061436.076455 
-lowerbound = 1007070.426534 
- number of solutions 11, first iteration 	 bound=1061608.725844, 	 objsol=1061608.725844 
-lowerbound = 1008316.175120 
- number of solutions 11, first iteration 	 bound=1061796.291530, 	 objsol=1061796.291530 
-lowerbound = 1008308.822310 
- number of solutions 11, first iteration 	 bound=1061976.527138, 	 objsol=1061976.527138 
-lowerbound = 1008063.259487 
- number of solutions 11, first iteration 	 bound=1062184.563371, 	 objsol=1062184.563371 
-lowerbound = 1008344.898822 
- number of solutions 11, first iteration 	 bound=1062373.595966, 	 objsol=1062373.595966 
-lowerbound = 1008086.004911 
- number of solutions 11, first iteration 	 bound=1062534.342858, 	 objsol=1062534.342858 
-lowerbound = 1009772.523637 
- number of solutions 11, first iteration 	 bound=1062719.570306, 	 objsol=1062719.570306 
-lowerbound = 1010589.347150 
- number of solutions 11, first iteration 	 bound=1062865.425068, 	 objsol=1062865.425068 
-lowerbound = 1008136.320287 
- number of solutions 11, first iteration 	 bound=1063082.279961, 	 objsol=1063082.279961 
-lowerbound = 1010084.061425 
- number of solutions 11, first iteration 	 bound=1063253.636989, 	 objsol=1063253.636989 
-lowerbound = 1009117.105133 
- number of solutions 11, first iteration 	 bound=1063428.758519, 	 objsol=1063428.758519 
-lowerbound = 1010225.074575 
- number of solutions 11, first iteration 	 bound=1063612.068274, 	 objsol=1063612.068274 
-lowerbound = 1008257.566554 
- number of solutions 11, first iteration 	 bound=1063766.640530, 	 objsol=1063766.640530 
-lowerbound = 1011570.960564 
- number of solutions 11, first iteration 	 bound=1063948.024968, 	 objsol=1063948.024968 
-lowerbound = 1007944.535820 
- number of solutions 11, first iteration 	 bound=1064114.210630, 	 objsol=1064114.210630 
-lowerbound = 1010494.446605 
- number of solutions 11, first iteration 	 bound=1064304.639156, 	 objsol=1064304.639156 
-lowerbound = 1010662.379707 
- number of solutions 11, first iteration 	 bound=1064482.987680, 	 objsol=1064482.987680 
-lowerbound = 1010034.027766 
- number of solutions 11, first iteration 	 bound=1064671.602766, 	 objsol=1064671.602766 
-lowerbound = 1011495.288491 
- number of solutions 11, first iteration 	 bound=1064847.362151, 	 objsol=1064847.362151 
-lowerbound = 1008868.279680 
- number of solutions 11, first iteration 	 bound=1065023.993133, 	 objsol=1065023.993133 
-lowerbound = 1010737.767180 
- number of solutions 11, first iteration 	 bound=1065165.838510, 	 objsol=1065165.838510 
-lowerbound = 1011638.857951 
- number of solutions 11, first iteration 	 bound=1065351.766546, 	 objsol=1065351.766546 
-lowerbound = 1009579.395761 
- number of solutions 11, first iteration 	 bound=1065528.060373, 	 objsol=1065528.060373 
-lowerbound = 1011506.068340 
- number of solutions 11, first iteration 	 bound=1065698.362158, 	 objsol=1065698.362158 
-lowerbound = 1010329.077532 
- number of solutions 11, first iteration 	 bound=1065885.454614, 	 objsol=1065885.454614 
-lowerbound = 1010400.605594 
- number of solutions 11, first iteration 	 bound=1066066.568716, 	 objsol=1066066.568716 
-lowerbound = 1012158.200389 
- number of solutions 11, first iteration 	 bound=1066198.675152, 	 objsol=1066198.675152 
-lowerbound = 1011639.667920 
- number of solutions 11, first iteration 	 bound=1066399.264187, 	 objsol=1066399.264187 
-lowerbound = 1010619.805213 
- number of solutions 11, first iteration 	 bound=1066566.240222, 	 objsol=1066566.240222 
-lowerbound = 1010534.062382 
- number of solutions 11, first iteration 	 bound=1066742.193148, 	 objsol=1066742.193148 
-lowerbound = 1012333.688418 
- number of solutions 11, first iteration 	 bound=1066908.587905, 	 objsol=1066908.587905 
-lowerbound = 1011627.478950 
- number of solutions 11, first iteration 	 bound=1067093.430385, 	 objsol=1067093.430385 
-lowerbound = 1012687.372283 
- number of solutions 11, first iteration 	 bound=1067240.350915, 	 objsol=1067240.350915 
-lowerbound = 1010300.446513 
- number of solutions 11, first iteration 	 bound=1067413.646575, 	 objsol=1067413.646575 
-lowerbound = 1011148.681012 
- number of solutions 11, first iteration 	 bound=1067598.082908, 	 objsol=1067598.082908 
-lowerbound = 1011885.554741 
- number of solutions 11, first iteration 	 bound=1067753.510602, 	 objsol=1067753.510602 
-lowerbound = 1011806.021966 
- number of solutions 11, first iteration 	 bound=1067936.737398, 	 objsol=1067936.737398 
-lowerbound = 1011756.457240 
- number of solutions 11, first iteration 	 bound=1068101.368208, 	 objsol=1068101.368208 
-lowerbound = 1012098.199838 
- number of solutions 11, first iteration 	 bound=1068256.056208, 	 objsol=1068256.056208 
-lowerbound = 1011629.817400 
- number of solutions 11, first iteration 	 bound=1068436.860882, 	 objsol=1068436.860882 
-lowerbound = 1012317.256945 
- number of solutions 11, first iteration 	 bound=1068593.173823, 	 objsol=1068593.173823 
-lowerbound = 1010963.156197 
- number of solutions 11, first iteration 	 bound=1068760.758669, 	 objsol=1068760.758669 
-lowerbound = 1013845.066113 
- number of solutions 11, first iteration 	 bound=1068953.277121, 	 objsol=1068953.277121 
-lowerbound = 1012642.476417 
- number of solutions 11, first iteration 	 bound=1069095.978497, 	 objsol=1069095.978497 
-lowerbound = 1011595.759438 
- number of solutions 11, first iteration 	 bound=1069270.451813, 	 objsol=1069270.451813 
-lowerbound = 1010973.834169 
- number of solutions 11, first iteration 	 bound=1069434.651184, 	 objsol=1069434.651184 
-lowerbound = 1013143.374264 
- number of solutions 11, first iteration 	 bound=1069641.013688, 	 objsol=1069641.013688 
-lowerbound = 1012122.874087 
- number of solutions 11, first iteration 	 bound=1069766.184853, 	 objsol=1069766.184853 
-lowerbound = 1013294.083101 
- number of solutions 11, first iteration 	 bound=1069960.806085, 	 objsol=1069960.806085 
-lowerbound = 1012896.214748 
- number of solutions 11, first iteration 	 bound=1070117.407029, 	 objsol=1070117.407029 
-lowerbound = 1012011.219348 
- number of solutions 11, first iteration 	 bound=1070279.028644, 	 objsol=1070279.028644 
-lowerbound = 1013142.552093 
- number of solutions 11, first iteration 	 bound=1070436.749717, 	 objsol=1070436.749717 
-lowerbound = 1013631.405078 
- number of solutions 11, first iteration 	 bound=1070597.905948, 	 objsol=1070597.905948 
-lowerbound = 1014296.100521 
- number of solutions 11, first iteration 	 bound=1070750.844484, 	 objsol=1070750.844484 
-lowerbound = 1013187.041975 
- number of solutions 11, first iteration 	 bound=1070940.899373, 	 objsol=1070940.899373 
-lowerbound = 1013681.149883 
- number of solutions 11, first iteration 	 bound=1071103.299791, 	 objsol=1071103.299791 
-lowerbound = 1012967.532873 
- number of solutions 11, first iteration 	 bound=1071282.366798, 	 objsol=1071282.366798 
-lowerbound = 1014404.378093 
- number of solutions 11, first iteration 	 bound=1071410.190496, 	 objsol=1071410.190496 
-lowerbound = 1014717.281313 
- number of solutions 11, first iteration 	 bound=1071580.966961, 	 objsol=1071580.966961 
-lowerbound = 1013703.817366 
- number of solutions 11, first iteration 	 bound=1071746.445369, 	 objsol=1071746.445369 
-lowerbound = 1015203.728215 
- number of solutions 11, first iteration 	 bound=1071925.574702, 	 objsol=1071925.574702 
-lowerbound = 1013637.668641 
- number of solutions 11, first iteration 	 bound=1072081.133186, 	 objsol=1072081.133186 
-lowerbound = 1014983.232799 
- number of solutions 11, first iteration 	 bound=1072214.020965, 	 objsol=1072214.020965 
-lowerbound = 1015117.990040 
- number of solutions 11, first iteration 	 bound=1072361.276684, 	 objsol=1072361.276684 
-lowerbound = 1013992.702752 
- number of solutions 11, first iteration 	 bound=1072573.237308, 	 objsol=1072573.237308 
-lowerbound = 1013985.285638 
- number of solutions 11, first iteration 	 bound=1072691.456463, 	 objsol=1072691.456463 
-lowerbound = 1014998.679695 
- number of solutions 11, first iteration 	 bound=1072854.327647, 	 objsol=1072854.327647 
-lowerbound = 1015175.131647 
- number of solutions 11, first iteration 	 bound=1073027.962753, 	 objsol=1073027.962753 
-lowerbound = 1013293.620068 
- number of solutions 11, first iteration 	 bound=1073187.452067, 	 objsol=1073187.452067 
-lowerbound = 1015697.199079 
- number of solutions 11, first iteration 	 bound=1073337.569215, 	 objsol=1073337.569215 
-lowerbound = 1014509.755709 
- number of solutions 11, first iteration 	 bound=1073512.740046, 	 objsol=1073512.740046 
-lowerbound = 1014470.007338 
- number of solutions 11, first iteration 	 bound=1073667.610192, 	 objsol=1073667.610192 
-lowerbound = 1014185.024251 
- number of solutions 11, first iteration 	 bound=1073829.166508, 	 objsol=1073829.166508 
-lowerbound = 1016297.493107 
- number of solutions 11, first iteration 	 bound=1073992.839384, 	 objsol=1073992.839384 
-lowerbound = 1014269.666952 
- number of solutions 11, first iteration 	 bound=1074126.476482, 	 objsol=1074126.476482 
-lowerbound = 1015219.056627 
- number of solutions 11, first iteration 	 bound=1074292.232392, 	 objsol=1074292.232392 
-lowerbound = 1014224.865595 
- number of solutions 11, first iteration 	 bound=1074493.900505, 	 objsol=1074493.900505 
-lowerbound = 1015899.499970 
- number of solutions 11, first iteration 	 bound=1074606.899592, 	 objsol=1074606.899592 
-lowerbound = 1013926.792381 
- number of solutions 11, first iteration 	 bound=1074777.862562, 	 objsol=1074777.862562 
-lowerbound = 1017246.924379 
- number of solutions 11, first iteration 	 bound=1074929.197310, 	 objsol=1074929.197310 
-lowerbound = 1013560.369920 
- number of solutions 11, first iteration 	 bound=1075077.579092, 	 objsol=1075077.579092 
-lowerbound = 1017182.571046 
- number of solutions 11, first iteration 	 bound=1075234.389478, 	 objsol=1075234.389478 
-lowerbound = 1016252.722731 
- number of solutions 11, first iteration 	 bound=1075396.964367, 	 objsol=1075396.964367 
-lowerbound = 1015078.688911 
- number of solutions 11, first iteration 	 bound=1075546.723009, 	 objsol=1075546.723009 
-lowerbound = 1015382.867961 
- number of solutions 11, first iteration 	 bound=1075748.780004, 	 objsol=1075748.780004 
-lowerbound = 1017900.267553 
- number of solutions 11, first iteration 	 bound=1075842.988737, 	 objsol=1075842.988737 
-lowerbound = 1014452.553270 
- number of solutions 11, first iteration 	 bound=1076029.489508, 	 objsol=1076029.489508 
-lowerbound = 1016553.180242 
- number of solutions 11, first iteration 	 bound=1076176.606206, 	 objsol=1076176.606206 
-lowerbound = 1015659.774476 
- number of solutions 11, first iteration 	 bound=1076337.547451, 	 objsol=1076337.547451 
-lowerbound = 1017067.494466 
- number of solutions 11, first iteration 	 bound=1076505.812697, 	 objsol=1076505.812697 
-lowerbound = 1016063.493184 
- number of solutions 11, first iteration 	 bound=1076617.216584, 	 objsol=1076617.216584 
-lowerbound = 1016629.168918 
- number of solutions 11, first iteration 	 bound=1076820.076121, 	 objsol=1076820.076121 
-lowerbound = 1014494.431932 
- number of solutions 11, first iteration 	 bound=1076944.439059, 	 objsol=1076944.439059 
-lowerbound = 1018390.155120 
- number of solutions 11, first iteration 	 bound=1077067.436623, 	 objsol=1077067.436623 
-lowerbound = 1015930.560031 
- number of solutions 11, first iteration 	 bound=1077267.962371, 	 objsol=1077267.962371 
-lowerbound = 1015574.182385 
- number of solutions 11, first iteration 	 bound=1077425.434889, 	 objsol=1077425.434889 
-lowerbound = 1016135.178750 
- number of solutions 11, first iteration 	 bound=1077554.373106, 	 objsol=1077554.373106 
-lowerbound = 1018549.983455 
- number of solutions 11, first iteration 	 bound=1077719.823327, 	 objsol=1077719.823327 
-lowerbound = 1015945.416324 
- number of solutions 11, first iteration 	 bound=1077877.767919, 	 objsol=1077877.767919 
-lowerbound = 1017976.251979 
- number of solutions 11, first iteration 	 bound=1078018.657033, 	 objsol=1078018.657033 
-lowerbound = 1016821.279282 
- number of solutions 11, first iteration 	 bound=1078171.536627, 	 objsol=1078171.536627 
-lowerbound = 1015776.883958 
- number of solutions 11, first iteration 	 bound=1078337.994658, 	 objsol=1078337.994658 
-lowerbound = 1017596.970810 
- number of solutions 11, first iteration 	 bound=1078462.657031, 	 objsol=1078462.657031 
-lowerbound = 1017241.178200 
- number of solutions 11, first iteration 	 bound=1078656.354104, 	 objsol=1078656.354104 
-lowerbound = 1016974.554971 
- number of solutions 11, first iteration 	 bound=1078809.204498, 	 objsol=1078809.204498 
-lowerbound = 1018711.235413 
- number of solutions 11, first iteration 	 bound=1078927.232850, 	 objsol=1078927.232850 
-lowerbound = 1016248.782664 
- number of solutions 11, first iteration 	 bound=1079087.558561, 	 objsol=1079087.558561 
-lowerbound = 1017499.021603 
- number of solutions 11, first iteration 	 bound=1079234.105037, 	 objsol=1079234.105037 
-lowerbound = 1016683.931885 
- number of solutions 11, first iteration 	 bound=1079377.979789, 	 objsol=1079377.979789 
-lowerbound = 1018686.200771 
- number of solutions 11, first iteration 	 bound=1079538.768558, 	 objsol=1079538.768558 
-lowerbound = 1016478.722785 
- number of solutions 11, first iteration 	 bound=1079715.023851, 	 objsol=1079715.023851 
-lowerbound = 1016733.025423 
- number of solutions 11, first iteration 	 bound=1079838.309950, 	 objsol=1079838.309950 
-lowerbound = 1020091.322412 
- number of solutions 11, first iteration 	 bound=1080000.768090, 	 objsol=1080000.768090 
-lowerbound = 1016522.700873 
- number of solutions 11, first iteration 	 bound=1080146.886466, 	 objsol=1080146.886466 
-lowerbound = 1019467.498725 
- number of solutions 11, first iteration 	 bound=1080309.729281, 	 objsol=1080309.729281 
-lowerbound = 1016717.750513 
- number of solutions 11, first iteration 	 bound=1080442.700823, 	 objsol=1080442.700823 
-lowerbound = 1016175.760772 
- number of solutions 11, first iteration 	 bound=1080617.828129, 	 objsol=1080617.828129 
-lowerbound = 1019716.989547 
- number of solutions 11, first iteration 	 bound=1080729.234724, 	 objsol=1080729.234724 
-lowerbound = 1019738.108040 
- number of solutions 11, first iteration 	 bound=1080883.633348, 	 objsol=1080883.633348 
-lowerbound = 1016799.028708 
- number of solutions 11, first iteration 	 bound=1081029.775480, 	 objsol=1081029.775480 
-lowerbound = 1018208.920763 
- number of solutions 11, first iteration 	 bound=1081191.691056, 	 objsol=1081191.691056 
-lowerbound = 1019900.523410 
- number of solutions 11, first iteration 	 bound=1081341.833584, 	 objsol=1081341.833584 
-lowerbound = 1016855.068854 
- number of solutions 11, first iteration 	 bound=1081475.182686, 	 objsol=1081475.182686 
-lowerbound = 1019295.408819 
- number of solutions 11, first iteration 	 bound=1081643.919729, 	 objsol=1081643.919729 
-lowerbound = 1017626.575008 
- number of solutions 11, first iteration 	 bound=1081782.676797, 	 objsol=1081782.676797 
-lowerbound = 1019623.055546 
- number of solutions 11, first iteration 	 bound=1081921.103707, 	 objsol=1081921.103707 
-lowerbound = 1017553.505219 
- number of solutions 11, first iteration 	 bound=1082085.665985, 	 objsol=1082085.665985 
-lowerbound = 1019744.472559 
- number of solutions 11, first iteration 	 bound=1082240.315784, 	 objsol=1082240.315784 
-lowerbound = 1017624.452439 
- number of solutions 11, first iteration 	 bound=1082367.345898, 	 objsol=1082367.345898 
-lowerbound = 1019686.818038 
- number of solutions 11, first iteration 	 bound=1082475.018592, 	 objsol=1082475.018592 
-lowerbound = 1020312.797749 
- number of solutions 11, first iteration 	 bound=1082662.914648, 	 objsol=1082662.914648 
-lowerbound = 1016804.149410 
- number of solutions 11, first iteration 	 bound=1082833.313684, 	 objsol=1082833.313684 
-lowerbound = 1019529.018759 
- number of solutions 11, first iteration 	 bound=1082966.717256, 	 objsol=1082966.717256 
-lowerbound = 1019765.916732 
- number of solutions 11, first iteration 	 bound=1083084.878947, 	 objsol=1083084.878947 
-lowerbound = 1018291.349060 
- number of solutions 11, first iteration 	 bound=1083243.029826, 	 objsol=1083243.029826 
-lowerbound = 1019117.628867 
- number of solutions 11, first iteration 	 bound=1083403.111355, 	 objsol=1083403.111355 
-lowerbound = 1018825.881402 
- number of solutions 11, first iteration 	 bound=1083509.802954, 	 objsol=1083509.802954 
-lowerbound = 1020224.918782 
- number of solutions 11, first iteration 	 bound=1083683.570114, 	 objsol=1083683.570114 
-lowerbound = 1019523.266108 
- number of solutions 11, first iteration 	 bound=1083816.006006, 	 objsol=1083816.006006 
-lowerbound = 1021136.619893 
- number of solutions 11, first iteration 	 bound=1083993.243145, 	 objsol=1083993.243145 
-lowerbound = 1017316.380368 
- number of solutions 11, first iteration 	 bound=1084130.043642, 	 objsol=1084130.043642 
-lowerbound = 1020367.665870 
- number of solutions 11, first iteration 	 bound=1084270.407933, 	 objsol=1084270.407933 
-lowerbound = 1018957.234264 
- number of solutions 11, first iteration 	 bound=1084421.178271, 	 objsol=1084421.178271 
-lowerbound = 1019726.892650 
- number of solutions 11, first iteration 	 bound=1084552.470684, 	 objsol=1084552.470684 
-lowerbound = 1018796.713795 
- number of solutions 11, first iteration 	 bound=1084727.652679, 	 objsol=1084727.652679 
-lowerbound = 1020716.851566 
- number of solutions 11, first iteration 	 bound=1084847.338492, 	 objsol=1084847.338492 
-lowerbound = 1018594.274821 
- number of solutions 11, first iteration 	 bound=1084991.732723, 	 objsol=1084991.732723 
-lowerbound = 1019966.811437 
- number of solutions 11, first iteration 	 bound=1085140.670963, 	 objsol=1085140.670963 
-lowerbound = 1021841.553455 
- number of solutions 11, first iteration 	 bound=1085271.747803, 	 objsol=1085271.747803 
-lowerbound = 1017596.595711 
- number of solutions 11, first iteration 	 bound=1085407.487035, 	 objsol=1085407.487035 
-lowerbound = 1021322.987818 
- number of solutions 11, first iteration 	 bound=1085567.465318, 	 objsol=1085567.465318 
-lowerbound = 1020366.140224 
- number of solutions 11, first iteration 	 bound=1085712.964120, 	 objsol=1085712.964120 
-lowerbound = 1020556.459177 
- number of solutions 11, first iteration 	 bound=1085864.385730, 	 objsol=1085864.385730 
-lowerbound = 1019740.164700 
- number of solutions 11, first iteration 	 bound=1085982.362265, 	 objsol=1085982.362265 
-lowerbound = 1021429.717427 
- number of solutions 11, first iteration 	 bound=1086138.372194, 	 objsol=1086138.372194 
-lowerbound = 1019938.198391 
- number of solutions 11, first iteration 	 bound=1086299.548546, 	 objsol=1086299.548546 
-lowerbound = 1021276.776644 
- number of solutions 11, first iteration 	 bound=1086422.935718, 	 objsol=1086422.935718 
-lowerbound = 1022135.980371 
- number of solutions 11, first iteration 	 bound=1086557.113407, 	 objsol=1086557.113407 
-lowerbound = 1018846.103813 
- number of solutions 11, first iteration 	 bound=1086693.114093, 	 objsol=1086693.114093 
-lowerbound = 1022467.919944 
- number of solutions 11, first iteration 	 bound=1086854.161315, 	 objsol=1086854.161315 
-lowerbound = 1021129.788349 
- number of solutions 11, first iteration 	 bound=1086986.419104, 	 objsol=1086986.419104 
-lowerbound = 1019677.937364 
- number of solutions 11, first iteration 	 bound=1087140.638062, 	 objsol=1087140.638062 
-lowerbound = 1022087.277674 
- number of solutions 11, first iteration 	 bound=1087262.113945, 	 objsol=1087262.113945 
-lowerbound = 1021351.638101 
- number of solutions 11, first iteration 	 bound=1087391.229889, 	 objsol=1087391.229889 
-lowerbound = 1019209.425613 
- number of solutions 11, first iteration 	 bound=1087529.504915, 	 objsol=1087529.504915 
-lowerbound = 1022226.562478 
- number of solutions 11, first iteration 	 bound=1087692.088157, 	 objsol=1087692.088157 
-lowerbound = 1021570.531745 
- number of solutions 11, first iteration 	 bound=1087848.668511, 	 objsol=1087848.668511 
-lowerbound = 1021933.934356 
- number of solutions 11, first iteration 	 bound=1087963.776724, 	 objsol=1087963.776724 
-lowerbound = 1020841.913804 
- number of solutions 11, first iteration 	 bound=1088124.368563, 	 objsol=1088124.368563 
-lowerbound = 1021521.865245 
- number of solutions 11, first iteration 	 bound=1088234.114005, 	 objsol=1088234.114005 
-lowerbound = 1021879.965898 
- number of solutions 11, first iteration 	 bound=1088395.239658, 	 objsol=1088395.239658 
-lowerbound = 1021887.930540 
- number of solutions 11, first iteration 	 bound=1088545.166202, 	 objsol=1088545.166202 
-lowerbound = 1021994.400722 
- number of solutions 11, first iteration 	 bound=1088673.354724, 	 objsol=1088673.354724 
-lowerbound = 1022208.886091 
- number of solutions 11, first iteration 	 bound=1088795.048858, 	 objsol=1088795.048858 
-lowerbound = 1020455.342868 
- number of solutions 11, first iteration 	 bound=1088942.091784, 	 objsol=1088942.091784 
-lowerbound = 1024728.930768 
- number of solutions 11, first iteration 	 bound=1089083.869689, 	 objsol=1089083.869689 
-lowerbound = 1019548.646062 
- number of solutions 11, first iteration 	 bound=1089223.352471, 	 objsol=1089223.352471 
-lowerbound = 1022740.323577 
- number of solutions 11, first iteration 	 bound=1089366.335461, 	 objsol=1089366.335461 
-lowerbound = 1021829.969990 
- number of solutions 11, first iteration 	 bound=1089514.571117, 	 objsol=1089514.571117 
-lowerbound = 1022396.997575 
- number of solutions 11, first iteration 	 bound=1089668.303595, 	 objsol=1089668.303595 
-lowerbound = 1023334.090992 
- number of solutions 11, first iteration 	 bound=1089780.158398, 	 objsol=1089780.158398 
-lowerbound = 1022667.890264 
- number of solutions 11, first iteration 	 bound=1089917.026172, 	 objsol=1089917.026172 
-lowerbound = 1022552.238071 
- number of solutions 11, first iteration 	 bound=1090047.822842, 	 objsol=1090047.822842 
-lowerbound = 1022904.681157 
- number of solutions 11, first iteration 	 bound=1090202.415678, 	 objsol=1090202.415678 
-lowerbound = 1021281.018770 
- number of solutions 11, first iteration 	 bound=1090329.365928, 	 objsol=1090329.365928 
-lowerbound = 1023171.026181 
- number of solutions 11, first iteration 	 bound=1090471.903544, 	 objsol=1090471.903544 
-lowerbound = 1021800.376135 
- number of solutions 11, first iteration 	 bound=1090607.515742, 	 objsol=1090607.515742 
-lowerbound = 1025114.632981 
- number of solutions 11, first iteration 	 bound=1090759.284801, 	 objsol=1090759.284801 
-lowerbound = 1020560.693112 
- number of solutions 11, first iteration 	 bound=1090870.236939, 	 objsol=1090870.236939 
-lowerbound = 1024753.379977 
- number of solutions 11, first iteration 	 bound=1090988.006990, 	 objsol=1090988.006990 
-lowerbound = 1022518.336107 
- number of solutions 11, first iteration 	 bound=1091136.921351, 	 objsol=1091136.921351 
-lowerbound = 1023934.929287 
- number of solutions 11, first iteration 	 bound=1091265.772282, 	 objsol=1091265.772282 
-lowerbound = 1021815.832414 
- number of solutions 11, first iteration 	 bound=1091425.197602, 	 objsol=1091425.197602 
-lowerbound = 1024190.594949 
- number of solutions 11, first iteration 	 bound=1091531.205488, 	 objsol=1091531.205488 
-lowerbound = 1023415.034973 
- number of solutions 11, first iteration 	 bound=1091691.382219, 	 objsol=1091691.382219 
-lowerbound = 1025568.209349 
- number of solutions 11, first iteration 	 bound=1091803.729483, 	 objsol=1091803.729483 
-lowerbound = 1023693.713084 
- number of solutions 11, first iteration 	 bound=1091970.633884, 	 objsol=1091970.633884 
-lowerbound = 1025762.532111 
- number of solutions 11, first iteration 	 bound=1092077.512138, 	 objsol=1092077.512138 
-lowerbound = 1023108.307614 
- number of solutions 11, first iteration 	 bound=1092193.062683, 	 objsol=1092193.062683 
-lowerbound = 1025593.480934 
- number of solutions 11, first iteration 	 bound=1092357.508964, 	 objsol=1092357.508964 
-lowerbound = 1023857.302409 
- number of solutions 11, first iteration 	 bound=1092505.581195, 	 objsol=1092505.581195 
-lowerbound = 1024474.035671 
- number of solutions 11, first iteration 	 bound=1092594.473360, 	 objsol=1092594.473360 
-lowerbound = 1025657.529162 
- number of solutions 11, first iteration 	 bound=1092734.805241, 	 objsol=1092734.805241 
-lowerbound = 1022759.370700 
- number of solutions 11, first iteration 	 bound=1092891.531390, 	 objsol=1092891.531390 
-lowerbound = 1024777.641313 
- number of solutions 11, first iteration 	 bound=1093031.895243, 	 objsol=1093031.895243 
-lowerbound = 1025573.200021 
- number of solutions 11, first iteration 	 bound=1093151.989471, 	 objsol=1093151.989471 
-lowerbound = 1023549.553172 
- number of solutions 11, first iteration 	 bound=1093266.864772, 	 objsol=1093266.864772 
-lowerbound = 1026196.258106 
- number of solutions 11, first iteration 	 bound=1093379.165164, 	 objsol=1093379.165164 
-lowerbound = 1026253.024669 
- number of solutions 11, first iteration 	 bound=1093507.047731, 	 objsol=1093507.047731 
-lowerbound = 1026550.486094 
- number of solutions 11, first iteration 	 bound=1093667.955006, 	 objsol=1093667.955006 
-lowerbound = 1025662.109750 
- number of solutions 11, first iteration 	 bound=1093800.803591, 	 objsol=1093800.803591 
-lowerbound = 1023446.305870 
- number of solutions 11, first iteration 	 bound=1093927.881119, 	 objsol=1093927.881119 
-lowerbound = 1026658.708441 
- number of solutions 11, first iteration 	 bound=1094043.116074, 	 objsol=1094043.116074 
-lowerbound = 1025778.851773 
- number of solutions 11, first iteration 	 bound=1094190.506503, 	 objsol=1094190.506503 
-lowerbound = 1025634.713317 
- number of solutions 11, first iteration 	 bound=1094321.490466, 	 objsol=1094321.490466 
-lowerbound = 1024894.216891 
- number of solutions 11, first iteration 	 bound=1094461.071840, 	 objsol=1094461.071840 
-lowerbound = 1025576.172780 
- number of solutions 11, first iteration 	 bound=1094566.805144, 	 objsol=1094566.805144 
-lowerbound = 1026943.508958 
- number of solutions 11, first iteration 	 bound=1094685.065689, 	 objsol=1094685.065689 
-lowerbound = 1024984.295491 
- number of solutions 11, first iteration 	 bound=1094821.983824, 	 objsol=1094821.983824 
-lowerbound = 1026666.559780 
- number of solutions 11, first iteration 	 bound=1094957.323725, 	 objsol=1094957.323725 
-lowerbound = 1025641.368110 
- number of solutions 11, first iteration 	 bound=1095091.346557, 	 objsol=1095091.346557 
-lowerbound = 1027170.089493 
- number of solutions 11, first iteration 	 bound=1095213.193000, 	 objsol=1095213.193000 
-lowerbound = 1025106.053540 
- number of solutions 11, first iteration 	 bound=1095326.791371, 	 objsol=1095326.791371 
-lowerbound = 1026743.307560 
- number of solutions 11, first iteration 	 bound=1095478.094147, 	 objsol=1095478.094147 
-lowerbound = 1027049.233781 
- number of solutions 11, first iteration 	 bound=1095577.498790, 	 objsol=1095577.498790 
-lowerbound = 1028722.617674 
- number of solutions 11, first iteration 	 bound=1095732.473716, 	 objsol=1095732.473716 
-lowerbound = 1024960.407463 
- number of solutions 11, first iteration 	 bound=1095838.585426, 	 objsol=1095838.585426 
-lowerbound = 1027093.703848 
- number of solutions 11, first iteration 	 bound=1095963.751686, 	 objsol=1095963.751686 
-lowerbound = 1025886.932786 
- number of solutions 11, first iteration 	 bound=1096112.077274, 	 objsol=1096112.077274 
-lowerbound = 1026907.454277 
- number of solutions 11, first iteration 	 bound=1096249.180385, 	 objsol=1096249.180385 
-lowerbound = 1027946.836005 
- number of solutions 11, first iteration 	 bound=1096336.053490, 	 objsol=1096336.053490 
-lowerbound = 1024857.696889 
- number of solutions 11, first iteration 	 bound=1096529.251699, 	 objsol=1096529.251699 
-lowerbound = 1029337.677954 
- number of solutions 11, first iteration 	 bound=1096600.236384, 	 objsol=1096600.236384 
-lowerbound = 1026623.427489 
- number of solutions 11, first iteration 	 bound=1096733.794142, 	 objsol=1096733.794142 
-lowerbound = 1026230.277294 
- number of solutions 11, first iteration 	 bound=1096853.036196, 	 objsol=1096853.036196 
-lowerbound = 1027995.394959 
- number of solutions 11, first iteration 	 bound=1096980.729303, 	 objsol=1096980.729303 
-lowerbound = 1026120.528610 
- number of solutions 11, first iteration 	 bound=1097132.492937, 	 objsol=1097132.492937 
-lowerbound = 1028763.749747 
- number of solutions 11, first iteration 	 bound=1097239.050706, 	 objsol=1097239.050706 
-lowerbound = 1028123.606677 
- number of solutions 11, first iteration 	 bound=1097353.211584, 	 objsol=1097353.211584 
-lowerbound = 1026569.282732 
- number of solutions 11, first iteration 	 bound=1097497.479503, 	 objsol=1097497.479503 
-lowerbound = 1029209.374535 
- number of solutions 11, first iteration 	 bound=1097616.089950, 	 objsol=1097616.089950 
-lowerbound = 1025907.499404 
- number of solutions 11, first iteration 	 bound=1097729.880181, 	 objsol=1097729.880181 
-lowerbound = 1027684.531409 
- number of solutions 11, first iteration 	 bound=1097874.845111, 	 objsol=1097874.845111 
-lowerbound = 1028592.177146 
- number of solutions 11, first iteration 	 bound=1097978.789553, 	 objsol=1097978.789553 
-lowerbound = 1027530.391443 
- number of solutions 11, first iteration 	 bound=1098125.468743, 	 objsol=1098125.468743 
-lowerbound = 1029130.552212 
- number of solutions 11, first iteration 	 bound=1098216.359574, 	 objsol=1098216.359574 
-lowerbound = 1028124.177882 
- number of solutions 11, first iteration 	 bound=1098379.519892, 	 objsol=1098379.519892 
-lowerbound = 1027883.708023 
- number of solutions 11, first iteration 	 bound=1098485.875593, 	 objsol=1098485.875593 
-lowerbound = 1027704.475823 
- number of solutions 11, first iteration 	 bound=1098599.582273, 	 objsol=1098599.582273 
-lowerbound = 1028659.860021 
- number of solutions 11, first iteration 	 bound=1098730.706964, 	 objsol=1098730.706964 
-lowerbound = 1028458.195321 
- number of solutions 11, first iteration 	 bound=1098838.614867, 	 objsol=1098838.614867 
-lowerbound = 1028699.674751 
- number of solutions 11, first iteration 	 bound=1098962.768812, 	 objsol=1098962.768812 
-lowerbound = 1029341.028108 
- number of solutions 11, first iteration 	 bound=1099097.706847, 	 objsol=1099097.706847 
-lowerbound = 1030512.674386 
- number of solutions 11, first iteration 	 bound=1099208.153197, 	 objsol=1099208.153197 
-lowerbound = 1029114.827740 
- number of solutions 11, first iteration 	 bound=1099335.014074, 	 objsol=1099335.014074 
-lowerbound = 1027148.515875 
- number of solutions 11, first iteration 	 bound=1099469.384989, 	 objsol=1099469.384989 
-lowerbound = 1028207.233891 
- number of solutions 11, first iteration 	 bound=1099594.289573, 	 objsol=1099594.289573 
-lowerbound = 1031574.939268 
- number of solutions 11, first iteration 	 bound=1099696.659738, 	 objsol=1099696.659738 
-lowerbound = 1027828.221281 
- number of solutions 11, first iteration 	 bound=1099824.913640, 	 objsol=1099824.913640 
-lowerbound = 1030583.193396 
- number of solutions 11, first iteration 	 bound=1099959.448264, 	 objsol=1099959.448264 
-lowerbound = 1028664.464847 
- number of solutions 11, first iteration 	 bound=1100038.473462, 	 objsol=1100038.473462 
-lowerbound = 1028265.327407 
- number of solutions 11, first iteration 	 bound=1100165.373454, 	 objsol=1100165.373454 
-lowerbound = 1030313.916886 
- number of solutions 11, first iteration 	 bound=1100307.103152, 	 objsol=1100307.103152 
-lowerbound = 1029440.054078 
- number of solutions 11, first iteration 	 bound=1100436.533967, 	 objsol=1100436.533967 
-lowerbound = 1029236.573933 
- number of solutions 11, first iteration 	 bound=1100556.333446, 	 objsol=1100556.333446 
-lowerbound = 1030313.548074 
- number of solutions 11, first iteration 	 bound=1100663.959603, 	 objsol=1100663.959603 
-lowerbound = 1028633.593765 
- number of solutions 11, first iteration 	 bound=1100781.479085, 	 objsol=1100781.479085 
-lowerbound = 1031960.034817 
- number of solutions 11, first iteration 	 bound=1100913.175544, 	 objsol=1100913.175544 
-lowerbound = 1027651.604643 
- number of solutions 11, first iteration 	 bound=1101011.894830, 	 objsol=1101011.894830 
-lowerbound = 1030972.827977 
- number of solutions 11, first iteration 	 bound=1101158.489741, 	 objsol=1101158.489741 
-lowerbound = 1028319.075620 
- number of solutions 11, first iteration 	 bound=1101248.654139, 	 objsol=1101248.654139 
-lowerbound = 1030075.058733 
- number of solutions 11, first iteration 	 bound=1101395.087064, 	 objsol=1101395.087064 
-lowerbound = 1030941.711890 
- number of solutions 11, first iteration 	 bound=1101524.981024, 	 objsol=1101524.981024 
-lowerbound = 1030172.963162 
- number of solutions 11, first iteration 	 bound=1101610.337020, 	 objsol=1101610.337020 
-lowerbound = 1032105.365983 
- number of solutions 11, first iteration 	 bound=1101742.056430, 	 objsol=1101742.056430 
-lowerbound = 1029511.354210 
- number of solutions 11, first iteration 	 bound=1101857.108135, 	 objsol=1101857.108135 
-lowerbound = 1030574.407336 
- number of solutions 11, first iteration 	 bound=1102014.129778, 	 objsol=1102014.129778 
-lowerbound = 1031057.640071 
- number of solutions 11, first iteration 	 bound=1102095.406030, 	 objsol=1102095.406030 
-lowerbound = 1029850.404380 
- number of solutions 11, first iteration 	 bound=1102217.393135, 	 objsol=1102217.393135 
-lowerbound = 1030365.223675 
- number of solutions 11, first iteration 	 bound=1102323.095216, 	 objsol=1102323.095216 
-lowerbound = 1029538.114440 
- number of solutions 11, first iteration 	 bound=1102456.306046, 	 objsol=1102456.306046 
-lowerbound = 1029716.082777 
- number of solutions 11, first iteration 	 bound=1102565.368426, 	 objsol=1102565.368426 
-lowerbound = 1031995.858527 
- number of solutions 11, first iteration 	 bound=1102677.572360, 	 objsol=1102677.572360 
-lowerbound = 1031814.016277 
- number of solutions 11, first iteration 	 bound=1102807.844689, 	 objsol=1102807.844689 
-lowerbound = 1030789.311988 
- number of solutions 11, first iteration 	 bound=1102935.443370, 	 objsol=1102935.443370 
-lowerbound = 1030553.753815 
- number of solutions 11, first iteration 	 bound=1103039.840836, 	 objsol=1103039.840836 
-lowerbound = 1030506.811428 
- number of solutions 11, first iteration 	 bound=1103154.053440, 	 objsol=1103154.053440 
-lowerbound = 1031413.773274 
- number of solutions 11, first iteration 	 bound=1103295.775311, 	 objsol=1103295.775311 
-lowerbound = 1028630.563172 
- number of solutions 11, first iteration 	 bound=1103380.463784, 	 objsol=1103380.463784 
-lowerbound = 1033122.084747 
- number of solutions 11, first iteration 	 bound=1103525.944018, 	 objsol=1103525.944018 
-lowerbound = 1031364.705932 
- number of solutions 11, first iteration 	 bound=1103629.463355, 	 objsol=1103629.463355 
-lowerbound = 1030789.646708 
- number of solutions 11, first iteration 	 bound=1103749.359789, 	 objsol=1103749.359789 
-lowerbound = 1032163.926699 
- number of solutions 11, first iteration 	 bound=1103882.386139, 	 objsol=1103882.386139 
-lowerbound = 1030687.931869 
- number of solutions 11, first iteration 	 bound=1103959.311147, 	 objsol=1103959.311147 
-lowerbound = 1032258.059241 
- number of solutions 11, first iteration 	 bound=1104080.478624, 	 objsol=1104080.478624 
-lowerbound = 1031478.342443 
- number of solutions 11, first iteration 	 bound=1104228.982686, 	 objsol=1104228.982686 
-lowerbound = 1029884.135466 
- number of solutions 11, first iteration 	 bound=1104320.644052, 	 objsol=1104320.644052 
-lowerbound = 1033319.004718 
- number of solutions 11, first iteration 	 bound=1104432.167392, 	 objsol=1104432.167392 
-lowerbound = 1028805.424878 
- number of solutions 11, first iteration 	 bound=1104558.299622, 	 objsol=1104558.299622 
-lowerbound = 1031847.405547 
- number of solutions 11, first iteration 	 bound=1104659.398403, 	 objsol=1104659.398403 
-lowerbound = 1030589.297238 
- number of solutions 11, first iteration 	 bound=1104790.887723, 	 objsol=1104790.887723 
-lowerbound = 1032379.411014 
- number of solutions 11, first iteration 	 bound=1104926.125874, 	 objsol=1104926.125874 
-lowerbound = 1033305.991481 
- number of solutions 11, first iteration 	 bound=1105015.759191, 	 objsol=1105015.759191 
-lowerbound = 1031452.911425 
- number of solutions 11, first iteration 	 bound=1105156.300402, 	 objsol=1105156.300402 
-lowerbound = 1032912.940896 
- number of solutions 11, first iteration 	 bound=1105249.315237, 	 objsol=1105249.315237 
-lowerbound = 1032276.119320 
- number of solutions 11, first iteration 	 bound=1105406.140947, 	 objsol=1105406.140947 
-lowerbound = 1030034.733926 
- number of solutions 11, first iteration 	 bound=1105482.218651, 	 objsol=1105482.218651 
-lowerbound = 1034314.285852 
- number of solutions 11, first iteration 	 bound=1105595.426239, 	 objsol=1105595.426239 
-lowerbound = 1030562.485027 
- number of solutions 11, first iteration 	 bound=1105715.037740, 	 objsol=1105715.037740 
-lowerbound = 1034079.454512 
- number of solutions 11, first iteration 	 bound=1105827.514962, 	 objsol=1105827.514962 
-lowerbound = 1029027.811614 
- number of solutions 11, first iteration 	 bound=1105957.845038, 	 objsol=1105957.845038 
-lowerbound = 1032038.039387 
- number of solutions 11, first iteration 	 bound=1106073.647432, 	 objsol=1106073.647432 
-lowerbound = 1031184.361611 
- number of solutions 11, first iteration 	 bound=1106170.377917, 	 objsol=1106170.377917 
-lowerbound = 1035017.733114 
- number of solutions 11, first iteration 	 bound=1106278.960361, 	 objsol=1106278.960361 
-lowerbound = 1030887.840594 
- number of solutions 11, first iteration 	 bound=1106414.318341, 	 objsol=1106414.318341 
-lowerbound = 1033990.348189 
- number of solutions 11, first iteration 	 bound=1106536.715766, 	 objsol=1106536.715766 
-lowerbound = 1030670.005450 
- number of solutions 11, first iteration 	 bound=1106635.745154, 	 objsol=1106635.745154 
-lowerbound = 1033647.167699 
- number of solutions 11, first iteration 	 bound=1106741.829553, 	 objsol=1106741.829553 
-lowerbound = 1032327.276968 
- number of solutions 11, first iteration 	 bound=1106854.508761, 	 objsol=1106854.508761 
-lowerbound = 1033545.057228 
- number of solutions 11, first iteration 	 bound=1106984.203706, 	 objsol=1106984.203706 
-lowerbound = 1032393.273481 
- number of solutions 11, first iteration 	 bound=1107124.625003, 	 objsol=1107124.625003 
-lowerbound = 1033433.550506 
- number of solutions 11, first iteration 	 bound=1107197.955029, 	 objsol=1107197.955029 
-lowerbound = 1034546.220438 
- number of solutions 11, first iteration 	 bound=1107301.869096, 	 objsol=1107301.869096 
-lowerbound = 1030519.152677 
- number of solutions 11, first iteration 	 bound=1107418.269644, 	 objsol=1107418.269644 
-lowerbound = 1032919.292403 
- number of solutions 11, first iteration 	 bound=1107522.512895, 	 objsol=1107522.512895 
-lowerbound = 1033491.820609 
- number of solutions 11, first iteration 	 bound=1107650.777929, 	 objsol=1107650.777929 
-lowerbound = 1032272.244726 
- number of solutions 11, first iteration 	 bound=1107776.011256, 	 objsol=1107776.011256 
-lowerbound = 1035386.931361 
- number of solutions 11, first iteration 	 bound=1107846.414233, 	 objsol=1107846.414233 
-lowerbound = 1033749.709549 
- number of solutions 11, first iteration 	 bound=1107976.086293, 	 objsol=1107976.086293 
-lowerbound = 1032587.893014 
- number of solutions 11, first iteration 	 bound=1108088.209622, 	 objsol=1108088.209622 
-lowerbound = 1033908.660347 
- number of solutions 11, first iteration 	 bound=1108224.149133, 	 objsol=1108224.149133 
-lowerbound = 1033747.778773 
- number of solutions 11, first iteration 	 bound=1108291.673312, 	 objsol=1108291.673312 
-lowerbound = 1034078.375893 
- number of solutions 11, first iteration 	 bound=1108426.681961, 	 objsol=1108426.681961 
-lowerbound = 1033481.360810 
- number of solutions 11, first iteration 	 bound=1108537.312868, 	 objsol=1108537.312868 
-lowerbound = 1031806.957765 
- number of solutions 11, first iteration 	 bound=1108656.097522, 	 objsol=1108656.097522 
-lowerbound = 1034827.374204 
- number of solutions 11, first iteration 	 bound=1108763.310754, 	 objsol=1108763.310754 
-lowerbound = 1034218.116456 
- number of solutions 11, first iteration 	 bound=1108861.339535, 	 objsol=1108861.339535 
-lowerbound = 1035863.492187 
- number of solutions 11, first iteration 	 bound=1108981.318609, 	 objsol=1108981.318609 
-lowerbound = 1031954.414417 
- number of solutions 11, first iteration 	 bound=1109084.784016, 	 objsol=1109084.784016 
-lowerbound = 1034464.461965 
- number of solutions 11, first iteration 	 bound=1109222.648463, 	 objsol=1109222.648463 
-lowerbound = 1033400.505332 
- number of solutions 11, first iteration 	 bound=1109330.910938, 	 objsol=1109330.910938 
-lowerbound = 1035492.617394 
- number of solutions 11, first iteration 	 bound=1109440.721990, 	 objsol=1109440.721990 
-lowerbound = 1032989.909856 
- number of solutions 11, first iteration 	 bound=1109542.432374, 	 objsol=1109542.432374 
-lowerbound = 1034408.092840 
- number of solutions 11, first iteration 	 bound=1109653.902779, 	 objsol=1109653.902779 
-lowerbound = 1034191.973112 
- number of solutions 11, first iteration 	 bound=1109743.897944, 	 objsol=1109743.897944 
-lowerbound = 1036718.008132 
- number of solutions 11, first iteration 	 bound=1109881.680878, 	 objsol=1109881.680878 
-lowerbound = 1032418.642147 
- number of solutions 11, first iteration 	 bound=1109980.273392, 	 objsol=1109980.273392 
-lowerbound = 1035902.937940 
- number of solutions 11, first iteration 	 bound=1110069.217567, 	 objsol=1110069.217567 
-lowerbound = 1031141.476199 
- number of solutions 11, first iteration 	 bound=1110208.254804, 	 objsol=1110208.254804 
-lowerbound = 1038182.216422 
- number of solutions 11, first iteration 	 bound=1110307.998467, 	 objsol=1110307.998467 
-lowerbound = 1032148.463717 
- number of solutions 11, first iteration 	 bound=1110386.635018, 	 objsol=1110386.635018 
-lowerbound = 1036959.761668 
- number of solutions 11, first iteration 	 bound=1110484.942267, 	 objsol=1110484.942267 
-lowerbound = 1032105.944902 
- number of solutions 11, first iteration 	 bound=1110660.451966, 	 objsol=1110660.451966 
-lowerbound = 1035851.297194 
- number of solutions 11, first iteration 	 bound=1110758.828212, 	 objsol=1110758.828212 
-lowerbound = 1034767.775844 
- number of solutions 11, first iteration 	 bound=1110851.697721, 	 objsol=1110851.697721 
-lowerbound = 1036848.559064 
- number of solutions 11, first iteration 	 bound=1110940.827361, 	 objsol=1110940.827361 
-lowerbound = 1033170.079969 
- number of solutions 11, first iteration 	 bound=1111071.038131, 	 objsol=1111071.038131 
-lowerbound = 1036450.279021 
- number of solutions 11, first iteration 	 bound=1111173.640716, 	 objsol=1111173.640716 
-lowerbound = 1034501.598520 
- number of solutions 11, first iteration 	 bound=1111284.116018, 	 objsol=1111284.116018 
-lowerbound = 1035221.771599 
- number of solutions 11, first iteration 	 bound=1111391.668915, 	 objsol=1111391.668915 
-lowerbound = 1034350.338017 
- number of solutions 11, first iteration 	 bound=1111512.301170, 	 objsol=1111512.301170 
-lowerbound = 1035390.610463 
- number of solutions 11, first iteration 	 bound=1111613.581972, 	 objsol=1111613.581972 
-lowerbound = 1035291.855576 
- number of solutions 11, first iteration 	 bound=1111727.997949, 	 objsol=1111727.997949 
-lowerbound = 1037150.896976 
- number of solutions 11, first iteration 	 bound=1111821.184285, 	 objsol=1111821.184285 
-lowerbound = 1034452.494078 
- number of solutions 11, first iteration 	 bound=1111910.326509, 	 objsol=1111910.326509 
-lowerbound = 1037469.345803 
- number of solutions 11, first iteration 	 bound=1112058.563546, 	 objsol=1112058.563546 
-lowerbound = 1035068.812493 
- number of solutions 11, first iteration 	 bound=1112132.732508, 	 objsol=1112132.732508 
-lowerbound = 1036874.182036 
- number of solutions 11, first iteration 	 bound=1112257.191778, 	 objsol=1112257.191778 
-lowerbound = 1034037.201424 
- number of solutions 11, first iteration 	 bound=1112349.324235, 	 objsol=1112349.324235 
-lowerbound = 1038421.584419 
- number of solutions 11, first iteration 	 bound=1112451.978333, 	 objsol=1112451.978333 
-lowerbound = 1034941.955349 
- number of solutions 11, first iteration 	 bound=1112574.380017, 	 objsol=1112574.380017 
-lowerbound = 1037267.327548 
- number of solutions 11, first iteration 	 bound=1112705.569044, 	 objsol=1112705.569044 
-lowerbound = 1035609.178973 
- number of solutions 11, first iteration 	 bound=1112792.631196, 	 objsol=1112792.631196 
-lowerbound = 1035955.309394 
- number of solutions 11, first iteration 	 bound=1112871.274125, 	 objsol=1112871.274125 
-lowerbound = 1036295.402778 
- number of solutions 11, first iteration 	 bound=1112980.999017, 	 objsol=1112980.999017 
-lowerbound = 1035320.077645 
- number of solutions 11, first iteration 	 bound=1113131.195306, 	 objsol=1113131.195306 
-lowerbound = 1038170.708537 
- number of solutions 11, first iteration 	 bound=1113206.296744, 	 objsol=1113206.296744 
-lowerbound = 1037574.316244 
- number of solutions 11, first iteration 	 bound=1113320.997989, 	 objsol=1113320.997989 
-lowerbound = 1035542.199446 
- number of solutions 11, first iteration 	 bound=1113440.300474, 	 objsol=1113440.300474 
-lowerbound = 1037402.099176 
- number of solutions 11, first iteration 	 bound=1113533.332049, 	 objsol=1113533.332049 
-lowerbound = 1037344.339924 
- number of solutions 11, first iteration 	 bound=1113614.950477, 	 objsol=1113614.950477 
-lowerbound = 1036810.617687 
- number of solutions 11, first iteration 	 bound=1113730.643746, 	 objsol=1113730.643746 
-lowerbound = 1038449.888066 
- number of solutions 11, first iteration 	 bound=1113861.191387, 	 objsol=1113861.191387 
-lowerbound = 1033990.109060 
- number of solutions 11, first iteration 	 bound=1113961.408715, 	 objsol=1113961.408715 
-lowerbound = 1039447.824684 
- number of solutions 11, first iteration 	 bound=1114046.038105, 	 objsol=1114046.038105 
-lowerbound = 1038702.541848 
- number of solutions 11, first iteration 	 bound=1114150.488475, 	 objsol=1114150.488475 
-lowerbound = 1036647.194290 
- number of solutions 11, first iteration 	 bound=1114266.585508, 	 objsol=1114266.585508 
-lowerbound = 1039915.593072 
- number of solutions 11, first iteration 	 bound=1114359.552999, 	 objsol=1114359.552999 
-lowerbound = 1038385.042375 
- number of solutions 11, first iteration 	 bound=1114457.676487, 	 objsol=1114457.676487 
-lowerbound = 1037284.043889 
- number of solutions 11, first iteration 	 bound=1114566.066562, 	 objsol=1114566.066562 
-lowerbound = 1038232.736877 
- number of solutions 11, first iteration 	 bound=1114671.874269, 	 objsol=1114671.874269 
-lowerbound = 1036550.222266 
- number of solutions 11, first iteration 	 bound=1114786.200502, 	 objsol=1114786.200502 
-lowerbound = 1037964.307381 
- number of solutions 11, first iteration 	 bound=1114883.554491, 	 objsol=1114883.554491 
-lowerbound = 1038480.379641 
- number of solutions 11, first iteration 	 bound=1114969.305473, 	 objsol=1114969.305473 
-lowerbound = 1037863.589283 
- number of solutions 11, first iteration 	 bound=1115067.911611, 	 objsol=1115067.911611 
-lowerbound = 1038100.468646 
- number of solutions 11, first iteration 	 bound=1115190.851182, 	 objsol=1115190.851182 
-lowerbound = 1038595.083181 
- number of solutions 11, first iteration 	 bound=1115286.740861, 	 objsol=1115286.740861 
-lowerbound = 1039946.833298 
- number of solutions 11, first iteration 	 bound=1115398.707827, 	 objsol=1115398.707827 
-lowerbound = 1035896.034722 
- number of solutions 11, first iteration 	 bound=1115495.946539, 	 objsol=1115495.946539 
-lowerbound = 1040654.771100 
- number of solutions 11, first iteration 	 bound=1115593.987069, 	 objsol=1115593.987069 
-lowerbound = 1036262.636312 
- number of solutions 11, first iteration 	 bound=1115725.746413, 	 objsol=1115725.746413 
-lowerbound = 1040587.737467 
- number of solutions 11, first iteration 	 bound=1115774.725740, 	 objsol=1115774.725740 
-lowerbound = 1037237.704757 
- number of solutions 11, first iteration 	 bound=1115915.367106, 	 objsol=1115915.367106 
-lowerbound = 1040789.571599 
- number of solutions 11, first iteration 	 bound=1116022.471759, 	 objsol=1116022.471759 
-lowerbound = 1038369.434915 
- number of solutions 11, first iteration 	 bound=1116102.900531, 	 objsol=1116102.900531 
-lowerbound = 1038728.360457 
- number of solutions 11, first iteration 	 bound=1116190.750243, 	 objsol=1116190.750243 
-lowerbound = 1038148.485608 
- number of solutions 11, first iteration 	 bound=1116320.145859, 	 objsol=1116320.145859 
-lowerbound = 1038668.733198 
- number of solutions 11, first iteration 	 bound=1116413.160800, 	 objsol=1116413.160800 
-lowerbound = 1037351.703989 
- number of solutions 11, first iteration 	 bound=1116506.987656, 	 objsol=1116506.987656 
-lowerbound = 1039563.626974 
- number of solutions 11, first iteration 	 bound=1116635.902856, 	 objsol=1116635.902856 
-lowerbound = 1037790.561224 
- number of solutions 11, first iteration 	 bound=1116732.697460, 	 objsol=1116732.697460 
-lowerbound = 1040781.601007 
- number of solutions 11, first iteration 	 bound=1116807.883953, 	 objsol=1116807.883953 
-lowerbound = 1038652.352699 
- number of solutions 11, first iteration 	 bound=1116942.707993, 	 objsol=1116942.707993 
-lowerbound = 1040220.111700 
- number of solutions 11, first iteration 	 bound=1117042.556842, 	 objsol=1117042.556842 
-lowerbound = 1038313.204743 
- number of solutions 11, first iteration 	 bound=1117124.420559, 	 objsol=1117124.420559 
-lowerbound = 1038950.747270 
- number of solutions 11, first iteration 	 bound=1117245.554296, 	 objsol=1117245.554296 
-lowerbound = 1037175.184764 
- number of solutions 11, first iteration 	 bound=1117336.488848, 	 objsol=1117336.488848 
-lowerbound = 1040416.962740 
- number of solutions 11, first iteration 	 bound=1117448.567067, 	 objsol=1117448.567067 
-lowerbound = 1038241.295499 
- number of solutions 11, first iteration 	 bound=1117516.019593, 	 objsol=1117516.019593 
-lowerbound = 1039045.989998 
- number of solutions 11, first iteration 	 bound=1117648.863639, 	 objsol=1117648.863639 
-lowerbound = 1040442.490343 
- number of solutions 11, first iteration 	 bound=1117733.846875, 	 objsol=1117733.846875 
-lowerbound = 1039786.402178 
- number of solutions 11, first iteration 	 bound=1117841.440035, 	 objsol=1117841.440035 
-lowerbound = 1039890.713997 
- number of solutions 11, first iteration 	 bound=1117914.426136, 	 objsol=1117914.426136 
-lowerbound = 1037819.251402 
- number of solutions 11, first iteration 	 bound=1118039.160321, 	 objsol=1118039.160321 
-lowerbound = 1039980.802545 
- number of solutions 11, first iteration 	 bound=1118153.928227, 	 objsol=1118153.928227 
-lowerbound = 1039784.411304 
- number of solutions 11, first iteration 	 bound=1118231.174245, 	 objsol=1118231.174245 
-lowerbound = 1038707.566983 
- number of solutions 11, first iteration 	 bound=1118355.865996, 	 objsol=1118355.865996 
-lowerbound = 1040470.197096 
- number of solutions 11, first iteration 	 bound=1118450.110313, 	 objsol=1118450.110313 
-lowerbound = 1038219.481481 
- number of solutions 11, first iteration 	 bound=1118534.886900, 	 objsol=1118534.886900 
-lowerbound = 1039906.665765 
- number of solutions 11, first iteration 	 bound=1118660.767492, 	 objsol=1118660.767492 
-lowerbound = 1038837.066118 
- number of solutions 11, first iteration 	 bound=1118770.697989, 	 objsol=1118770.697989 
-lowerbound = 1039831.067503 
- number of solutions 11, first iteration 	 bound=1118868.252857, 	 objsol=1118868.252857 
-lowerbound = 1040224.417891 
- number of solutions 11, first iteration 	 bound=1118940.054280, 	 objsol=1118940.054280 
-lowerbound = 1042182.217767 
- number of solutions 11, first iteration 	 bound=1119057.389306, 	 objsol=1119057.389306 
-lowerbound = 1036834.024199 
- number of solutions 11, first iteration 	 bound=1119143.548549, 	 objsol=1119143.548549 
-lowerbound = 1042111.107101 
- number of solutions 11, first iteration 	 bound=1119260.785417, 	 objsol=1119260.785417 
-lowerbound = 1037839.038678 
- number of solutions 11, first iteration 	 bound=1119364.207986, 	 objsol=1119364.207986 
-lowerbound = 1043034.513953 
- number of solutions 11, first iteration 	 bound=1119467.457119, 	 objsol=1119467.457119 
-lowerbound = 1036187.094682 
- number of solutions 11, first iteration 	 bound=1119536.537608, 	 objsol=1119536.537608 
-lowerbound = 1043246.470120 
- number of solutions 11, first iteration 	 bound=1119668.788331, 	 objsol=1119668.788331 
-lowerbound = 1038252.530804 
- number of solutions 11, first iteration 	 bound=1119754.706067, 	 objsol=1119754.706067 
-lowerbound = 1044094.382695 
- number of solutions 11, first iteration 	 bound=1119845.571056, 	 objsol=1119845.571056 
-lowerbound = 1038343.993141 
- number of solutions 11, first iteration 	 bound=1119941.629572, 	 objsol=1119941.629572 
-lowerbound = 1041930.401987 
- number of solutions 11, first iteration 	 bound=1120031.304441, 	 objsol=1120031.304441 
-lowerbound = 1038648.934974 
- number of solutions 11, first iteration 	 bound=1120157.127943, 	 objsol=1120157.127943 
-lowerbound = 1043564.476552 
- number of solutions 11, first iteration 	 bound=1120248.402837, 	 objsol=1120248.402837 
-lowerbound = 1037307.371243 
- number of solutions 11, first iteration 	 bound=1120349.021103, 	 objsol=1120349.021103 
-lowerbound = 1043210.164055 
- number of solutions 11, first iteration 	 bound=1120444.670199, 	 objsol=1120444.670199 
-lowerbound = 1038617.143476 
- number of solutions 11, first iteration 	 bound=1120532.666530, 	 objsol=1120532.666530 
-lowerbound = 1042854.255718 
- number of solutions 11, first iteration 	 bound=1120630.837245, 	 objsol=1120630.837245 
-lowerbound = 1039141.594731 
- number of solutions 11, first iteration 	 bound=1120735.845393, 	 objsol=1120735.845393 
-lowerbound = 1043105.034997 
- number of solutions 11, first iteration 	 bound=1120853.185964, 	 objsol=1120853.185964 
-lowerbound = 1039412.202136 
- number of solutions 11, first iteration 	 bound=1120954.851809, 	 objsol=1120954.851809 
-lowerbound = 1041671.576265 
- number of solutions 11, first iteration 	 bound=1121014.016870, 	 objsol=1121014.016870 
-lowerbound = 1039536.273646 
- number of solutions 11, first iteration 	 bound=1121133.028303, 	 objsol=1121133.028303 
-lowerbound = 1043775.881866 
- number of solutions 11, first iteration 	 bound=1121227.952495, 	 objsol=1121227.952495 
-lowerbound = 1039370.142032 
- number of solutions 11, first iteration 	 bound=1121313.873327, 	 objsol=1121313.873327 
-lowerbound = 1043402.978726 
- number of solutions 11, first iteration 	 bound=1121411.210720, 	 objsol=1121411.210720 
-lowerbound = 1038066.516887 
- number of solutions 11, first iteration 	 bound=1121533.005264, 	 objsol=1121533.005264 
-lowerbound = 1044230.378567 
- number of solutions 11, first iteration 	 bound=1121625.854776, 	 objsol=1121625.854776 
-lowerbound = 1037494.947653 
- number of solutions 11, first iteration 	 bound=1121717.584694, 	 objsol=1121717.584694 
-lowerbound = 1045700.074390 
- number of solutions 11, first iteration 	 bound=1121812.289625, 	 objsol=1121812.289625 
-lowerbound = 1040331.276368 
- number of solutions 11, first iteration 	 bound=1121913.810317, 	 objsol=1121913.810317 
-lowerbound = 1042036.462533 
- number of solutions 11, first iteration 	 bound=1122042.853447, 	 objsol=1122042.853447 
-lowerbound = 1042356.476552 
- number of solutions 11, first iteration 	 bound=1122126.397171, 	 objsol=1122126.397171 
-lowerbound = 1043391.168195 
- number of solutions 11, first iteration 	 bound=1122229.864442, 	 objsol=1122229.864442 
-lowerbound = 1038694.419795 
- number of solutions 11, first iteration 	 bound=1122325.384204, 	 objsol=1122325.384204 
-lowerbound = 1045229.689597 
- number of solutions 11, first iteration 	 bound=1122403.197474, 	 objsol=1122403.197474 
-lowerbound = 1037957.882511 
- number of solutions 11, first iteration 	 bound=1122503.969578, 	 objsol=1122503.969578 
-lowerbound = 1045238.848075 
- number of solutions 11, first iteration 	 bound=1122618.745943, 	 objsol=1122618.745943 
-lowerbound = 1037552.881063 
- number of solutions 11, first iteration 	 bound=1122677.775041, 	 objsol=1122677.775041 
-lowerbound = 1043102.272171 
- number of solutions 11, first iteration 	 bound=1122798.505669, 	 objsol=1122798.505669 
-lowerbound = 1042157.824416 
- number of solutions 11, first iteration 	 bound=1122894.281605, 	 objsol=1122894.281605 
-lowerbound = 1041302.488207 
- number of solutions 11, first iteration 	 bound=1123004.212422, 	 objsol=1123004.212422 
-lowerbound = 1043515.733210 
- number of solutions 11, first iteration 	 bound=1123074.665724, 	 objsol=1123074.665724 
-lowerbound = 1041033.465606 
- number of solutions 11, first iteration 	 bound=1123195.426411, 	 objsol=1123195.426411 
-lowerbound = 1041090.852729 
- number of solutions 11, first iteration 	 bound=1123314.763466, 	 objsol=1123314.763466 
-lowerbound = 1043643.740143 
- number of solutions 11, first iteration 	 bound=1123355.290345, 	 objsol=1123355.290345 
-lowerbound = 1040107.455556 
- number of solutions 11, first iteration 	 bound=1123476.741921, 	 objsol=1123476.741921 
-lowerbound = 1043741.089034 
- number of solutions 11, first iteration 	 bound=1123581.604755, 	 objsol=1123581.604755 
-lowerbound = 1040343.558430 
- number of solutions 11, first iteration 	 bound=1123663.105536, 	 objsol=1123663.105536 
-lowerbound = 1043372.129602 
- number of solutions 11, first iteration 	 bound=1123779.208219, 	 objsol=1123779.208219 
-lowerbound = 1041262.468248 
- number of solutions 11, first iteration 	 bound=1123845.464382, 	 objsol=1123845.464382 
-lowerbound = 1044621.244820 
- number of solutions 11, first iteration 	 bound=1123986.331984, 	 objsol=1123986.331984 
-lowerbound = 1039191.828599 
- number of solutions 11, first iteration 	 bound=1124026.849984, 	 objsol=1124026.849984 
-lowerbound = 1045177.262166 
- number of solutions 11, first iteration 	 bound=1124156.869802, 	 objsol=1124156.869802 
-lowerbound = 1038915.744848 
- number of solutions 11, first iteration 	 bound=1124281.920078, 	 objsol=1124281.920078 
-lowerbound = 1044933.742086 
- number of solutions 11, first iteration 	 bound=1124344.714320, 	 objsol=1124344.714320 
-lowerbound = 1040741.532307 
- number of solutions 11, first iteration 	 bound=1124447.060828, 	 objsol=1124447.060828 
-lowerbound = 1044959.936464 
- number of solutions 11, first iteration 	 bound=1124517.810154, 	 objsol=1124517.810154 
-lowerbound = 1039690.429762 
- number of solutions 11, first iteration 	 bound=1124643.502442, 	 objsol=1124643.502442 
-lowerbound = 1044039.107655 
- number of solutions 11, first iteration 	 bound=1124740.354440, 	 objsol=1124740.354440 
-lowerbound = 1041162.623573 
- number of solutions 11, first iteration 	 bound=1124826.128678, 	 objsol=1124826.128678 
-lowerbound = 1044397.733864 
- number of solutions 11, first iteration 	 bound=1124914.877030, 	 objsol=1124914.877030 
-lowerbound = 1041319.395010 
- number of solutions 11, first iteration 	 bound=1125020.458032, 	 objsol=1125020.458032 
-lowerbound = 1043466.453447 
- number of solutions 11, first iteration 	 bound=1125106.751062, 	 objsol=1125106.751062 
-lowerbound = 1041363.339332 
- number of solutions 11, first iteration 	 bound=1125219.577022, 	 objsol=1125219.577022 
-lowerbound = 1043785.170210 
- number of solutions 11, first iteration 	 bound=1125289.210663, 	 objsol=1125289.210663 
-lowerbound = 1041866.349771 
- number of solutions 11, first iteration 	 bound=1125393.499903, 	 objsol=1125393.499903 
-lowerbound = 1048169.710678 
- number of solutions 11, first iteration 	 bound=1125496.668005, 	 objsol=1125496.668005 
-lowerbound = 1039936.614675 
- number of solutions 11, first iteration 	 bound=1125621.009559, 	 objsol=1125621.009559 
-lowerbound = 1046575.688824 
- number of solutions 11, first iteration 	 bound=1125712.151757, 	 objsol=1125712.151757 
-lowerbound = 1040878.185948 
- number of solutions 11, first iteration 	 bound=1125802.062942, 	 objsol=1125802.062942 
-lowerbound = 1043013.090426 
- number of solutions 11, first iteration 	 bound=1125896.875486, 	 objsol=1125896.875486 
-lowerbound = 1043327.411851 
- number of solutions 11, first iteration 	 bound=1125984.666859, 	 objsol=1125984.666859 
-lowerbound = 1045668.739618 
- number of solutions 11, first iteration 	 bound=1126080.236544, 	 objsol=1126080.236544 
-lowerbound = 1040182.159050 
- number of solutions 11, first iteration 	 bound=1126155.267247, 	 objsol=1126155.267247 
-lowerbound = 1045101.556995 
- number of solutions 11, first iteration 	 bound=1126268.243174, 	 objsol=1126268.243174 
-lowerbound = 1043302.473951 
- number of solutions 11, first iteration 	 bound=1126367.944603, 	 objsol=1126367.944603 
-lowerbound = 1045845.005922 
- number of solutions 11, first iteration 	 bound=1126447.377837, 	 objsol=1126447.377837 
-lowerbound = 1040761.617096 
- number of solutions 11, first iteration 	 bound=1126561.711402, 	 objsol=1126561.711402 
-lowerbound = 1045443.984855 
- number of solutions 11, first iteration 	 bound=1126631.653184, 	 objsol=1126631.653184 
-lowerbound = 1042584.160270 
- number of solutions 11, first iteration 	 bound=1126728.505101, 	 objsol=1126728.505101 
-lowerbound = 1045149.281207 
- number of solutions 11, first iteration 	 bound=1126825.182697, 	 objsol=1126825.182697 
-lowerbound = 1043491.770767 
- number of solutions 11, first iteration 	 bound=1126956.263505, 	 objsol=1126956.263505 
-lowerbound = 1044684.699746 
- number of solutions 11, first iteration 	 bound=1127030.033691, 	 objsol=1127030.033691 
-lowerbound = 1047448.723435 
- number of solutions 11, first iteration 	 bound=1127095.693490, 	 objsol=1127095.693490 
-lowerbound = 1044518.585455 
- number of solutions 11, first iteration 	 bound=1127228.440515, 	 objsol=1127228.440515 
-lowerbound = 1045380.122265 
- number of solutions 11, first iteration 	 bound=1127289.824250, 	 objsol=1127289.824250 
-lowerbound = 1046210.045579 
- number of solutions 11, first iteration 	 bound=1127365.571612, 	 objsol=1127365.571612 
-lowerbound = 1044292.510440 
- number of solutions 11, first iteration 	 bound=1127467.427876, 	 objsol=1127467.427876 
-lowerbound = 1047109.542274 
- number of solutions 11, first iteration 	 bound=1127560.857585, 	 objsol=1127560.857585 
-lowerbound = 1043723.068733 
- number of solutions 11, first iteration 	 bound=1127654.310802, 	 objsol=1127654.310802 
-lowerbound = 1046522.374863 
- number of solutions 11, first iteration 	 bound=1127775.217870, 	 objsol=1127775.217870 
-lowerbound = 1045689.968229 
- number of solutions 11, first iteration 	 bound=1127857.769448, 	 objsol=1127857.769448 
-lowerbound = 1044970.260284 
- number of solutions 11, first iteration 	 bound=1127923.311816, 	 objsol=1127923.311816 
-lowerbound = 1045175.733059 
- number of solutions 11, first iteration 	 bound=1128017.258255, 	 objsol=1128017.258255 
-lowerbound = 1046298.321090 
- number of solutions 11, first iteration 	 bound=1128094.717397, 	 objsol=1128094.717397 
-lowerbound = 1047229.489949 
- number of solutions 11, first iteration 	 bound=1128214.888140, 	 objsol=1128214.888140 
-lowerbound = 1046200.880298 
- number of solutions 11, first iteration 	 bound=1128301.568794, 	 objsol=1128301.568794 
-lowerbound = 1045471.001369 
- number of solutions 11, first iteration 	 bound=1128389.095221, 	 objsol=1128389.095221 
-lowerbound = 1048323.109160 
- number of solutions 11, first iteration 	 bound=1128484.503425, 	 objsol=1128484.503425 
-lowerbound = 1043934.520060 
- number of solutions 11, first iteration 	 bound=1128575.738630, 	 objsol=1128575.738630 
-lowerbound = 1046138.664577 
- number of solutions 11, first iteration 	 bound=1128663.855041, 	 objsol=1128663.855041 
-lowerbound = 1046251.913941 
- number of solutions 11, first iteration 	 bound=1128757.666219, 	 objsol=1128757.666219 
-lowerbound = 1047372.556315 
- number of solutions 11, first iteration 	 bound=1128832.860748, 	 objsol=1128832.860748 
-lowerbound = 1044844.039076 
- number of solutions 11, first iteration 	 bound=1128918.193544, 	 objsol=1128918.193544 
-lowerbound = 1047226.378112 
- number of solutions 11, first iteration 	 bound=1129015.842883, 	 objsol=1129015.842883 
-lowerbound = 1046613.701728 
- number of solutions 11, first iteration 	 bound=1129132.690526, 	 objsol=1129132.690526 
-lowerbound = 1049944.086466 
- number of solutions 11, first iteration 	 bound=1129197.282954, 	 objsol=1129197.282954 
-lowerbound = 1043655.344850 
- number of solutions 11, first iteration 	 bound=1129286.078779, 	 objsol=1129286.078779 
-lowerbound = 1047776.208594 
- number of solutions 11, first iteration 	 bound=1129390.590413, 	 objsol=1129390.590413 
-lowerbound = 1043828.509045 
- number of solutions 11, first iteration 	 bound=1129483.210809, 	 objsol=1129483.210809 
-lowerbound = 1049779.714420 
- number of solutions 11, first iteration 	 bound=1129543.226451, 	 objsol=1129543.226451 
-lowerbound = 1045370.044072 
- number of solutions 11, first iteration 	 bound=1129635.578095, 	 objsol=1129635.578095 
-lowerbound = 1047890.005876 
- number of solutions 11, first iteration 	 bound=1129727.184159, 	 objsol=1129727.184159 
-lowerbound = 1044560.385692 
- number of solutions 11, first iteration 	 bound=1129851.765708, 	 objsol=1129851.765708 
-lowerbound = 1046799.297173 
- number of solutions 11, first iteration 	 bound=1129906.899714, 	 objsol=1129906.899714 
-lowerbound = 1048205.657388 
- number of solutions 11, first iteration 	 bound=1129995.985547, 	 objsol=1129995.985547 
-lowerbound = 1047530.501110 
- number of solutions 11, first iteration 	 bound=1130122.201291, 	 objsol=1130122.201291 
-lowerbound = 1048832.013274 
- number of solutions 11, first iteration 	 bound=1130173.675128, 	 objsol=1130173.675128 
-lowerbound = 1045680.616414 
- number of solutions 11, first iteration 	 bound=1130281.505647, 	 objsol=1130281.505647 
-lowerbound = 1045676.941553 
- number of solutions 11, first iteration 	 bound=1130385.816095, 	 objsol=1130385.816095 
-lowerbound = 1047989.426856 
- number of solutions 11, first iteration 	 bound=1130424.663098, 	 objsol=1130424.663098 
-lowerbound = 1048573.180546 
- number of solutions 11, first iteration 	 bound=1130543.559494, 	 objsol=1130543.559494 
-lowerbound = 1048017.905140 
- number of solutions 11, first iteration 	 bound=1130645.574300, 	 objsol=1130645.574300 
-lowerbound = 1044312.314097 
- number of solutions 11, first iteration 	 bound=1130736.690760, 	 objsol=1130736.690760 
-lowerbound = 1051157.823682 
- number of solutions 11, first iteration 	 bound=1130831.363229, 	 objsol=1130831.363229 
-lowerbound = 1043000.026590 
- number of solutions 11, first iteration 	 bound=1130914.717763, 	 objsol=1130914.717763 
-lowerbound = 1049213.596067 
- number of solutions 11, first iteration 	 bound=1131011.761461, 	 objsol=1131011.761461 
-lowerbound = 1046726.111718 
- number of solutions 11, first iteration 	 bound=1131096.346459, 	 objsol=1131096.346459 
-lowerbound = 1047880.891935 
- number of solutions 11, first iteration 	 bound=1131161.882634, 	 objsol=1131161.882634 
-lowerbound = 1046579.853928 
- number of solutions 11, first iteration 	 bound=1131229.251727, 	 objsol=1131229.251727 
-lowerbound = 1048349.901505 
- number of solutions 11, first iteration 	 bound=1131353.259813, 	 objsol=1131353.259813 
-lowerbound = 1047111.441315 
- number of solutions 11, first iteration 	 bound=1131451.392117, 	 objsol=1131451.392117 
-lowerbound = 1048637.467960 
- number of solutions 11, first iteration 	 bound=1131551.685252, 	 objsol=1131551.685252 
-lowerbound = 1048839.236628 
- number of solutions 11, first iteration 	 bound=1131630.298150, 	 objsol=1131630.298150 
-lowerbound = 1047133.160555 
- number of solutions 11, first iteration 	 bound=1131721.830489, 	 objsol=1131721.830489 
-lowerbound = 1048061.952525 
- number of solutions 11, first iteration 	 bound=1131807.446273, 	 objsol=1131807.446273 
-lowerbound = 1049440.762261 
- number of solutions 11, first iteration 	 bound=1131886.128063, 	 objsol=1131886.128063 
-lowerbound = 1046219.406992 
- number of solutions 11, first iteration 	 bound=1131971.522952, 	 objsol=1131971.522952 
-lowerbound = 1049037.299986 
- number of solutions 11, first iteration 	 bound=1132070.095899, 	 objsol=1132070.095899 
-lowerbound = 1048662.984653 
- number of solutions 11, first iteration 	 bound=1132165.384908, 	 objsol=1132165.384908 
-lowerbound = 1048182.733609 
- number of solutions 11, first iteration 	 bound=1132240.665747, 	 objsol=1132240.665747 
-lowerbound = 1049673.070426 
- number of solutions 11, first iteration 	 bound=1132321.819040, 	 objsol=1132321.819040 
-lowerbound = 1046996.806116 
- number of solutions 11, first iteration 	 bound=1132419.081066, 	 objsol=1132419.081066 
-lowerbound = 1050116.181288 
- number of solutions 11, first iteration 	 bound=1132505.823327, 	 objsol=1132505.823327 
-lowerbound = 1049972.444348 
- number of solutions 11, first iteration 	 bound=1132579.897142, 	 objsol=1132579.897142 
-lowerbound = 1047547.524086 
- number of solutions 11, first iteration 	 bound=1132657.502654, 	 objsol=1132657.502654 
-lowerbound = 1050699.340083 
- number of solutions 11, first iteration 	 bound=1132744.022238, 	 objsol=1132744.022238 
-lowerbound = 1048273.003987 
- number of solutions 11, first iteration 	 bound=1132868.585473, 	 objsol=1132868.585473 
-lowerbound = 1046949.736295 
- number of solutions 11, first iteration 	 bound=1132917.308811, 	 objsol=1132917.308811 
-lowerbound = 1049517.195046 
- number of solutions 11, first iteration 	 bound=1133014.483375, 	 objsol=1133014.483375 
-lowerbound = 1047616.804190 
- number of solutions 11, first iteration 	 bound=1133100.196405, 	 objsol=1133100.196405 
-lowerbound = 1051688.316518 
- number of solutions 11, first iteration 	 bound=1133200.278631, 	 objsol=1133200.278631 
-lowerbound = 1046636.344524 
- number of solutions 11, first iteration 	 bound=1133282.860128, 	 objsol=1133282.860128 
-lowerbound = 1048400.429461 
- number of solutions 11, first iteration 	 bound=1133328.907455, 	 objsol=1133328.907455 
-lowerbound = 1048813.664965 
- number of solutions 11, first iteration 	 bound=1133454.551529, 	 objsol=1133454.551529 
-lowerbound = 1050755.018244 
- number of solutions 11, first iteration 	 bound=1133525.025525, 	 objsol=1133525.025525 
-lowerbound = 1051387.626655 
- number of solutions 11, first iteration 	 bound=1133605.352464, 	 objsol=1133605.352464 
-lowerbound = 1050581.581871 
- number of solutions 11, first iteration 	 bound=1133709.299064, 	 objsol=1133709.299064 
-lowerbound = 1045705.044986 
- number of solutions 11, first iteration 	 bound=1133785.548234, 	 objsol=1133785.548234 
-lowerbound = 1051847.075976 
- number of solutions 11, first iteration 	 bound=1133898.621366, 	 objsol=1133898.621366 
-lowerbound = 1051964.074788 
- number of solutions 11, first iteration 	 bound=1133957.735463, 	 objsol=1133957.735463 
-lowerbound = 1050055.320896 
- number of solutions 11, first iteration 	 bound=1134056.964844, 	 objsol=1134056.964844 
-lowerbound = 1048487.107528 
- number of solutions 11, first iteration 	 bound=1134140.673381, 	 objsol=1134140.673381 
-lowerbound = 1049933.056268 
- number of solutions 11, first iteration 	 bound=1134192.629780, 	 objsol=1134192.629780 
-lowerbound = 1049405.810755 
- number of solutions 11, first iteration 	 bound=1134291.960597, 	 objsol=1134291.960597 
-lowerbound = 1051939.504995 
- number of solutions 11, first iteration 	 bound=1134384.187654, 	 objsol=1134384.187654 
-lowerbound = 1048695.186612 
- number of solutions 11, first iteration 	 bound=1134465.652169, 	 objsol=1134465.652169 
-lowerbound = 1050606.068302 
- number of solutions 11, first iteration 	 bound=1134561.842328, 	 objsol=1134561.842328 
-lowerbound = 1048141.595024 
- number of solutions 11, first iteration 	 bound=1134651.573102, 	 objsol=1134651.573102 
-lowerbound = 1050426.499088 
- number of solutions 11, first iteration 	 bound=1134714.311149, 	 objsol=1134714.311149 
-lowerbound = 1051902.418091 
- number of solutions 11, first iteration 	 bound=1134804.725941, 	 objsol=1134804.725941 
-lowerbound = 1046921.335291 
- number of solutions 11, first iteration 	 bound=1134850.864999, 	 objsol=1134850.864999 
-lowerbound = 1053413.655577 
- number of solutions 11, first iteration 	 bound=1134991.954071, 	 objsol=1134991.954071 
-lowerbound = 1050159.882275 
- number of solutions 11, first iteration 	 bound=1135057.306974, 	 objsol=1135057.306974 
-lowerbound = 1050567.861272 
- number of solutions 11, first iteration 	 bound=1135151.377500, 	 objsol=1135151.377500 
-lowerbound = 1049197.165884 
- number of solutions 11, first iteration 	 bound=1135241.451562, 	 objsol=1135241.451562 
-lowerbound = 1051934.264982 
- number of solutions 11, first iteration 	 bound=1135324.125250, 	 objsol=1135324.125250 
-lowerbound = 1049011.242421 
- number of solutions 11, first iteration 	 bound=1135397.675427, 	 objsol=1135397.675427 
-lowerbound = 1049689.351636 
- number of solutions 11, first iteration 	 bound=1135466.017859, 	 objsol=1135466.017859 
-lowerbound = 1050117.585355 
- number of solutions 11, first iteration 	 bound=1135549.913413, 	 objsol=1135549.913413 
-lowerbound = 1051512.659707 
- number of solutions 11, first iteration 	 bound=1135684.948267, 	 objsol=1135684.948267 
-lowerbound = 1051605.128731 
- number of solutions 11, first iteration 	 bound=1135745.067073, 	 objsol=1135745.067073 
-lowerbound = 1050717.304409 
- number of solutions 11, first iteration 	 bound=1135845.141343, 	 objsol=1135845.141343 
-lowerbound = 1049194.458088 
- number of solutions 11, first iteration 	 bound=1135931.108609, 	 objsol=1135931.108609 
-lowerbound = 1050958.300479 
- number of solutions 11, first iteration 	 bound=1135974.556372, 	 objsol=1135974.556372 
-lowerbound = 1051332.217165 
- number of solutions 11, first iteration 	 bound=1136052.896376, 	 objsol=1136052.896376 
-lowerbound = 1053220.174294 
- number of solutions 11, first iteration 	 bound=1136157.344327, 	 objsol=1136157.344327 
-lowerbound = 1049130.610268 
- number of solutions 11, first iteration 	 bound=1136221.269897, 	 objsol=1136221.269897 
-lowerbound = 1050879.938532 
- number of solutions 11, first iteration 	 bound=1136320.472969, 	 objsol=1136320.472969 
-lowerbound = 1052648.792250 
- number of solutions 11, first iteration 	 bound=1136414.974220, 	 objsol=1136414.974220 
-lowerbound = 1049028.057950 
- number of solutions 11, first iteration 	 bound=1136494.735463, 	 objsol=1136494.735463 
-lowerbound = 1051099.607251 
- number of solutions 11, first iteration 	 bound=1136571.295805, 	 objsol=1136571.295805 
-lowerbound = 1050867.971573 
- number of solutions 11, first iteration 	 bound=1136683.838238, 	 objsol=1136683.838238 
-lowerbound = 1052858.607341 
- number of solutions 11, first iteration 	 bound=1136730.606494, 	 objsol=1136730.606494 
-lowerbound = 1050383.941327 
- number of solutions 11, first iteration 	 bound=1136819.980296, 	 objsol=1136819.980296 
-lowerbound = 1050677.276814 
- number of solutions 11, first iteration 	 bound=1136915.353777, 	 objsol=1136915.353777 
-lowerbound = 1052555.862700 
- number of solutions 11, first iteration 	 bound=1136990.812727, 	 objsol=1136990.812727 
-lowerbound = 1052188.509477 
- number of solutions 11, first iteration 	 bound=1137064.431144, 	 objsol=1137064.431144 
-lowerbound = 1053057.008864 
- number of solutions 11, first iteration 	 bound=1137163.367656, 	 objsol=1137163.367656 
-lowerbound = 1047980.642302 
- number of solutions 11, first iteration 	 bound=1137255.768572, 	 objsol=1137255.768572 
-lowerbound = 1053739.702402 
- number of solutions 11, first iteration 	 bound=1137324.481801, 	 objsol=1137324.481801 
-lowerbound = 1051458.913699 
- number of solutions 11, first iteration 	 bound=1137419.046332, 	 objsol=1137419.046332 
-lowerbound = 1052020.579271 
- number of solutions 11, first iteration 	 bound=1137474.589420, 	 objsol=1137474.589420 
-lowerbound = 1050440.126622 
- number of solutions 11, first iteration 	 bound=1137584.371075, 	 objsol=1137584.371075 
-lowerbound = 1051601.243128 
- number of solutions 11, first iteration 	 bound=1137667.254698, 	 objsol=1137667.254698 
-lowerbound = 1053451.299306 
- number of solutions 11, first iteration 	 bound=1137742.022588, 	 objsol=1137742.022588 
-lowerbound = 1050817.099002 
- number of solutions 11, first iteration 	 bound=1137821.195475, 	 objsol=1137821.195475 
-lowerbound = 1052402.044476 
- number of solutions 11, first iteration 	 bound=1137909.190181, 	 objsol=1137909.190181 
-lowerbound = 1049172.895147 
- number of solutions 11, first iteration 	 bound=1137986.426216, 	 objsol=1137986.426216 
-lowerbound = 1053081.682112 
- number of solutions 11, first iteration 	 bound=1138066.897714, 	 objsol=1138066.897714 
-lowerbound = 1050869.791982 
- number of solutions 11, first iteration 	 bound=1138153.962508, 	 objsol=1138153.962508 
-lowerbound = 1053359.423813 
- number of solutions 11, first iteration 	 bound=1138258.635303, 	 objsol=1138258.635303 
-lowerbound = 1051758.055739 
- number of solutions 11, first iteration 	 bound=1138320.388727, 	 objsol=1138320.388727 
-lowerbound = 1051595.347250 
- number of solutions 11, first iteration 	 bound=1138385.499388, 	 objsol=1138385.499388 
-lowerbound = 1051196.513894 
- number of solutions 11, first iteration 	 bound=1138488.704539, 	 objsol=1138488.704539 
-lowerbound = 1049646.181603 
- number of solutions 11, first iteration 	 bound=1138553.120688, 	 objsol=1138553.120688 
-lowerbound = 1053033.511605 
- number of solutions 11, first iteration 	 bound=1138666.816567, 	 objsol=1138666.816567 
-lowerbound = 1051347.645430 
- number of solutions 11, first iteration 	 bound=1138758.994788, 	 objsol=1138758.994788 
-lowerbound = 1053495.237566 
- number of solutions 11, first iteration 	 bound=1138800.480778, 	 objsol=1138800.480778 
-lowerbound = 1049807.675370 
- number of solutions 11, first iteration 	 bound=1138903.786399, 	 objsol=1138903.786399 
-lowerbound = 1053611.116792 
- number of solutions 11, first iteration 	 bound=1138985.372860, 	 objsol=1138985.372860 
-lowerbound = 1051070.054750 
- number of solutions 11, first iteration 	 bound=1139062.566278, 	 objsol=1139062.566278 
-lowerbound = 1050683.847530 
- number of solutions 11, first iteration 	 bound=1139118.219485, 	 objsol=1139118.219485 
-lowerbound = 1053215.575500 
- number of solutions 11, first iteration 	 bound=1139243.124835, 	 objsol=1139243.124835 
-lowerbound = 1052832.967809 
- number of solutions 11, first iteration 	 bound=1139320.038808, 	 objsol=1139320.038808 
-lowerbound = 1050877.712443 
- number of solutions 11, first iteration 	 bound=1139390.201158, 	 objsol=1139390.201158 
-lowerbound = 1055126.309270 
- number of solutions 11, first iteration 	 bound=1139479.420901, 	 objsol=1139479.420901 
-lowerbound = 1050345.202410 
- number of solutions 11, first iteration 	 bound=1139555.582688, 	 objsol=1139555.582688 
-lowerbound = 1052679.785116 
- number of solutions 11, first iteration 	 bound=1139640.811467, 	 objsol=1139640.811467 
-lowerbound = 1051975.589540 
- number of solutions 11, first iteration 	 bound=1139724.740049, 	 objsol=1139724.740049 
-lowerbound = 1052145.086605 
- number of solutions 11, first iteration 	 bound=1139798.051183, 	 objsol=1139798.051183 
-lowerbound = 1051978.460024 
- number of solutions 11, first iteration 	 bound=1139910.931384, 	 objsol=1139910.931384 
-lowerbound = 1054077.975262 
- number of solutions 11, first iteration 	 bound=1139982.768029, 	 objsol=1139982.768029 
-lowerbound = 1051243.498890 
- number of solutions 11, first iteration 	 bound=1140051.673922, 	 objsol=1140051.673922 
-lowerbound = 1052839.362803 
- number of solutions 11, first iteration 	 bound=1140131.019725, 	 objsol=1140131.019725 
-lowerbound = 1052988.472315 
- number of solutions 11, first iteration 	 bound=1140189.658851, 	 objsol=1140189.658851 
-lowerbound = 1052704.185386 
- number of solutions 11, first iteration 	 bound=1140308.443053, 	 objsol=1140308.443053 
-lowerbound = 1054591.350554 
- number of solutions 11, first iteration 	 bound=1140389.789516, 	 objsol=1140389.789516 
-lowerbound = 1053376.523955 
- number of solutions 11, first iteration 	 bound=1140456.383262, 	 objsol=1140456.383262 
-lowerbound = 1053709.228756 
- number of solutions 11, first iteration 	 bound=1140537.932888, 	 objsol=1140537.932888 
-lowerbound = 1053009.223761 
- number of solutions 11, first iteration 	 bound=1140630.185388, 	 objsol=1140630.185388 
-lowerbound = 1051096.326713 
- number of solutions 11, first iteration 	 bound=1140708.816972, 	 objsol=1140708.816972 
-lowerbound = 1053156.699000 
- number of solutions 11, first iteration 	 bound=1140803.257554, 	 objsol=1140803.257554 
-lowerbound = 1049669.608273 
- number of solutions 11, first iteration 	 bound=1140859.153433, 	 objsol=1140859.153433 
-lowerbound = 1056007.182775 
- number of solutions 11, first iteration 	 bound=1140959.651256, 	 objsol=1140959.651256 
-lowerbound = 1049946.311928 
- number of solutions 11, first iteration 	 bound=1141006.072567, 	 objsol=1141006.072567 
-lowerbound = 1055331.805066 
- number of solutions 11, first iteration 	 bound=1141121.052740, 	 objsol=1141121.052740 
-lowerbound = 1052335.090511 
- number of solutions 11, first iteration 	 bound=1141157.618875, 	 objsol=1141157.618875 
-lowerbound = 1055585.103688 
- number of solutions 11, first iteration 	 bound=1141302.436405, 	 objsol=1141302.436405 
-lowerbound = 1050479.085776 
- number of solutions 11, first iteration 	 bound=1141351.034347, 	 objsol=1141351.034347 
-lowerbound = 1056653.916930 
- number of solutions 11, first iteration 	 bound=1141438.483216, 	 objsol=1141438.483216 
-lowerbound = 1052067.426558 
- number of solutions 11, first iteration 	 bound=1141510.130974, 	 objsol=1141510.130974 
-lowerbound = 1052751.031062 
- number of solutions 11, first iteration 	 bound=1141608.445467, 	 objsol=1141608.445467 
-lowerbound = 1050917.488546 
- number of solutions 11, first iteration 	 bound=1141687.514601, 	 objsol=1141687.514601 
-lowerbound = 1054322.682437 
- number of solutions 11, first iteration 	 bound=1141759.390009, 	 objsol=1141759.390009 
-lowerbound = 1051919.031096 
- number of solutions 11, first iteration 	 bound=1141836.298810, 	 objsol=1141836.298810 
-lowerbound = 1056541.212784 
- number of solutions 11, first iteration 	 bound=1141892.085064, 	 objsol=1141892.085064 
-lowerbound = 1051318.273552 
- number of solutions 11, first iteration 	 bound=1142030.100167, 	 objsol=1142030.100167 
-lowerbound = 1054245.289585 
- number of solutions 11, first iteration 	 bound=1142073.658833, 	 objsol=1142073.658833 
-lowerbound = 1053887.001305 
- number of solutions 11, first iteration 	 bound=1142186.805142, 	 objsol=1142186.805142 
-lowerbound = 1052070.845944 
- number of solutions 11, first iteration 	 bound=1142250.703377, 	 objsol=1142250.703377 
-lowerbound = 1053727.713972 
- number of solutions 11, first iteration 	 bound=1142342.750544, 	 objsol=1142342.750544 
-lowerbound = 1058162.383508 
- number of solutions 11, first iteration 	 bound=1142408.702585, 	 objsol=1142408.702585 
-lowerbound = 1052213.773296 
- number of solutions 11, first iteration 	 bound=1142500.504079, 	 objsol=1142500.504079 
-lowerbound = 1053035.688744 
- number of solutions 11, first iteration 	 bound=1142569.684894, 	 objsol=1142569.684894 
-lowerbound = 1051567.595183 
- number of solutions 11, first iteration 	 bound=1142652.455511, 	 objsol=1142652.455511 
-lowerbound = 1054103.181171 
- number of solutions 11, first iteration 	 bound=1142718.217675, 	 objsol=1142718.217675 
-lowerbound = 1055667.655736 
- number of solutions 11, first iteration 	 bound=1142807.117106, 	 objsol=1142807.117106 
-lowerbound = 1055081.928095 
- number of solutions 11, first iteration 	 bound=1142866.771006, 	 objsol=1142866.771006 
-lowerbound = 1051912.612760 
- number of solutions 11, first iteration 	 bound=1142965.890796, 	 objsol=1142965.890796 
-lowerbound = 1054506.515809 
- number of solutions 11, first iteration 	 bound=1143053.803465, 	 objsol=1143053.803465 
-lowerbound = 1052077.418680 
- number of solutions 11, first iteration 	 bound=1143125.673736, 	 objsol=1143125.673736 
-lowerbound = 1056758.754474 
- number of solutions 11, first iteration 	 bound=1143233.853193, 	 objsol=1143233.853193 
-lowerbound = 1054494.799089 
- number of solutions 11, first iteration 	 bound=1143271.851038, 	 objsol=1143271.851038 
-lowerbound = 1055380.023677 
- number of solutions 11, first iteration 	 bound=1143364.027988, 	 objsol=1143364.027988 
-lowerbound = 1052766.814644 
- number of solutions 11, first iteration 	 bound=1143452.134160, 	 objsol=1143452.134160 
-lowerbound = 1054513.409329 
- number of solutions 11, first iteration 	 bound=1143548.346833, 	 objsol=1143548.346833 
-lowerbound = 1054974.777786 
- number of solutions 11, first iteration 	 bound=1143609.648021, 	 objsol=1143609.648021 
-lowerbound = 1054628.302623 
- number of solutions 11, first iteration 	 bound=1143701.290060, 	 objsol=1143701.290060 
-lowerbound = 1053128.308117 
- number of solutions 11, first iteration 	 bound=1143808.323473, 	 objsol=1143808.323473 
-lowerbound = 1056550.350346 
- number of solutions 11, first iteration 	 bound=1143834.743761, 	 objsol=1143834.743761 
-lowerbound = 1051245.777808 
- number of solutions 11, first iteration 	 bound=1143915.283896, 	 objsol=1143915.283896 
-lowerbound = 1057353.073646 
- number of solutions 11, first iteration 	 bound=1144006.390861, 	 objsol=1144006.390861 
-lowerbound = 1053339.887664 
- number of solutions 11, first iteration 	 bound=1144107.822093, 	 objsol=1144107.822093 
-lowerbound = 1054467.072885 
- number of solutions 11, first iteration 	 bound=1144163.139490, 	 objsol=1144163.139490 
-lowerbound = 1055555.163614 
- number of solutions 11, first iteration 	 bound=1144257.164393, 	 objsol=1144257.164393 
-lowerbound = 1054037.508199 
- number of solutions 11, first iteration 	 bound=1144352.539242, 	 objsol=1144352.539242 
-lowerbound = 1052679.689028 
- number of solutions 11, first iteration 	 bound=1144395.753388, 	 objsol=1144395.753388 
-lowerbound = 1056355.449842 
- number of solutions 11, first iteration 	 bound=1144488.634997, 	 objsol=1144488.634997 
-lowerbound = 1054279.592645 
- number of solutions 11, first iteration 	 bound=1144569.913394, 	 objsol=1144569.913394 
-lowerbound = 1055897.002217 
- number of solutions 11, first iteration 	 bound=1144660.013547, 	 objsol=1144660.013547 
-lowerbound = 1057173.514276 
- number of solutions 11, first iteration 	 bound=1144750.884913, 	 objsol=1144750.884913 
-lowerbound = 1052975.699061 
- number of solutions 11, first iteration 	 bound=1144820.351129, 	 objsol=1144820.351129 
-lowerbound = 1053221.595879 
- number of solutions 11, first iteration 	 bound=1144863.018957, 	 objsol=1144863.018957 
-lowerbound = 1054797.753387 
- number of solutions 11, first iteration 	 bound=1144965.593114, 	 objsol=1144965.593114 
-lowerbound = 1056203.893194 
- number of solutions 11, first iteration 	 bound=1145050.413533, 	 objsol=1145050.413533 
-lowerbound = 1053649.227982 
- number of solutions 11, first iteration 	 bound=1145108.563849, 	 objsol=1145108.563849 
-lowerbound = 1056417.547876 
- number of solutions 11, first iteration 	 bound=1145221.002595, 	 objsol=1145221.002595 
-lowerbound = 1055430.978691 
- number of solutions 11, first iteration 	 bound=1145271.105646, 	 objsol=1145271.105646 
-lowerbound = 1053363.881933 
- number of solutions 11, first iteration 	 bound=1145392.474962, 	 objsol=1145392.474962 
-lowerbound = 1054750.142200 
- number of solutions 11, first iteration 	 bound=1145454.960073, 	 objsol=1145454.960073 
-lowerbound = 1055637.743177 
- number of solutions 11, first iteration 	 bound=1145510.443705, 	 objsol=1145510.443705 
-lowerbound = 1054379.380471 
- number of solutions 11, first iteration 	 bound=1145586.413369, 	 objsol=1145586.413369 
-lowerbound = 1055064.291542 
- number of solutions 11, first iteration 	 bound=1145684.577762, 	 objsol=1145684.577762 
-lowerbound = 1056458.209619 
- number of solutions 11, first iteration 	 bound=1145738.084878, 	 objsol=1145738.084878 
-lowerbound = 1053597.885999 
- number of solutions 11, first iteration 	 bound=1145845.290504, 	 objsol=1145845.290504 
-lowerbound = 1056032.093326 
- number of solutions 11, first iteration 	 bound=1145904.196731, 	 objsol=1145904.196731 
-lowerbound = 1053555.124554 
- number of solutions 11, first iteration 	 bound=1145974.355462, 	 objsol=1145974.355462 
-lowerbound = 1056328.448937 
- number of solutions 11, first iteration 	 bound=1146099.895476, 	 objsol=1146099.895476 
-lowerbound = 1055356.459207 
- number of solutions 11, first iteration 	 bound=1146143.238132, 	 objsol=1146143.238132 
-lowerbound = 1056354.411923 
- number of solutions 11, first iteration 	 bound=1146211.817654, 	 objsol=1146211.817654 
-lowerbound = 1054061.929957 
- number of solutions 11, first iteration 	 bound=1146319.552002, 	 objsol=1146319.552002 
-lowerbound = 1054372.192539 
- number of solutions 11, first iteration 	 bound=1146383.748051, 	 objsol=1146383.748051 
-lowerbound = 1057491.393790 
- number of solutions 11, first iteration 	 bound=1146455.115973, 	 objsol=1146455.115973 
-lowerbound = 1056204.549157 
- number of solutions 11, first iteration 	 bound=1146562.974196, 	 objsol=1146562.974196 
-lowerbound = 1055023.799936 
- number of solutions 11, first iteration 	 bound=1146616.516481, 	 objsol=1146616.516481 
-lowerbound = 1055495.572827 
- number of solutions 11, first iteration 	 bound=1146685.288893, 	 objsol=1146685.288893 
-lowerbound = 1056022.677150 
- number of solutions 11, first iteration 	 bound=1146780.147431, 	 objsol=1146780.147431 
-lowerbound = 1054993.290463 
- number of solutions 11, first iteration 	 bound=1146853.090210, 	 objsol=1146853.090210 
-lowerbound = 1057002.689134 
- number of solutions 11, first iteration 	 bound=1146951.289788, 	 objsol=1146951.289788 
-lowerbound = 1056524.301433 
- number of solutions 11, first iteration 	 bound=1146994.749159, 	 objsol=1146994.749159 
-lowerbound = 1055151.613999 
- number of solutions 11, first iteration 	 bound=1147108.551014, 	 objsol=1147108.551014 
-lowerbound = 1056183.319942 
- number of solutions 11, first iteration 	 bound=1147165.927555, 	 objsol=1147165.927555 
-lowerbound = 1055237.682330 
- number of solutions 11, first iteration 	 bound=1147256.749237, 	 objsol=1147256.749237 
-lowerbound = 1057601.108687 
- number of solutions 11, first iteration 	 bound=1147308.969971, 	 objsol=1147308.969971 
-lowerbound = 1055714.486701 
- number of solutions 11, first iteration 	 bound=1147378.833653, 	 objsol=1147378.833653 
-lowerbound = 1056738.793312 
- number of solutions 11, first iteration 	 bound=1147488.556188, 	 objsol=1147488.556188 
-lowerbound = 1055189.656652 
- number of solutions 11, first iteration 	 bound=1147558.044815, 	 objsol=1147558.044815 
-lowerbound = 1059652.263504 
- number of solutions 11, first iteration 	 bound=1147652.347640, 	 objsol=1147652.347640 
-lowerbound = 1052367.994373 
- number of solutions 11, first iteration 	 bound=1147727.109732, 	 objsol=1147727.109732 
-lowerbound = 1059532.817235 
- number of solutions 11, first iteration 	 bound=1147787.382785, 	 objsol=1147787.382785 
-lowerbound = 1054707.624044 
- number of solutions 11, first iteration 	 bound=1147868.739187, 	 objsol=1147868.739187 
-lowerbound = 1056501.494696 
- number of solutions 11, first iteration 	 bound=1147950.028546, 	 objsol=1147950.028546 
-lowerbound = 1055030.010658 
- number of solutions 11, first iteration 	 bound=1148055.567798, 	 objsol=1148055.567798 
-lowerbound = 1057738.007810 
- number of solutions 11, first iteration 	 bound=1148124.631569, 	 objsol=1148124.631569 
-lowerbound = 1053647.209846 
- number of solutions 11, first iteration 	 bound=1148167.062154, 	 objsol=1148167.062154 
-lowerbound = 1057694.238345 
- number of solutions 11, first iteration 	 bound=1148253.635625, 	 objsol=1148253.635625 
-lowerbound = 1055308.718884 
- number of solutions 11, first iteration 	 bound=1148344.376430, 	 objsol=1148344.376430 
-lowerbound = 1056909.624752 
- number of solutions 11, first iteration 	 bound=1148404.508802, 	 objsol=1148404.508802 
-lowerbound = 1056366.248917 
- number of solutions 11, first iteration 	 bound=1148533.409838, 	 objsol=1148533.409838 
-lowerbound = 1056119.425694 
- number of solutions 11, first iteration 	 bound=1148584.643697, 	 objsol=1148584.643697 
-lowerbound = 1055192.370614 
- number of solutions 11, first iteration 	 bound=1148649.754711, 	 objsol=1148649.754711 
-lowerbound = 1060545.653165 
- number of solutions 11, first iteration 	 bound=1148733.316276, 	 objsol=1148733.316276 
-lowerbound = 1054863.064904 
- number of solutions 11, first iteration 	 bound=1148796.814058, 	 objsol=1148796.814058 
-lowerbound = 1056547.326934 
- number of solutions 11, first iteration 	 bound=1148882.288249, 	 objsol=1148882.288249 
-lowerbound = 1056504.815105 
- number of solutions 11, first iteration 	 bound=1148947.428527, 	 objsol=1148947.428527 
-lowerbound = 1056710.098386 
- number of solutions 11, first iteration 	 bound=1149016.824129, 	 objsol=1149016.824129 
-lowerbound = 1057054.700952 
- number of solutions 11, first iteration 	 bound=1149129.501837, 	 objsol=1149129.501837 
-lowerbound = 1056355.076516 
- number of solutions 11, first iteration 	 bound=1149202.989993, 	 objsol=1149202.989993 
-lowerbound = 1057401.027726 
- number of solutions 11, first iteration 	 bound=1149237.942417, 	 objsol=1149237.942417 
-lowerbound = 1057826.824867 
- number of solutions 11, first iteration 	 bound=1149369.115262, 	 objsol=1149369.115262 
-lowerbound = 1057424.478834 
- number of solutions 11, first iteration 	 bound=1149450.516350, 	 objsol=1149450.516350 
-lowerbound = 1055490.452682 
- number of solutions 11, first iteration 	 bound=1149520.883832, 	 objsol=1149520.883832 
-lowerbound = 1059170.746732 
- number of solutions 11, first iteration 	 bound=1149574.926429, 	 objsol=1149574.926429 
-lowerbound = 1054964.493843 
- number of solutions 11, first iteration 	 bound=1149665.855143, 	 objsol=1149665.855143 
-lowerbound = 1056780.485735 
- number of solutions 11, first iteration 	 bound=1149736.368647, 	 objsol=1149736.368647 
-lowerbound = 1056402.761277 
- number of solutions 11, first iteration 	 bound=1149789.024938, 	 objsol=1149789.024938 
-lowerbound = 1057929.767347 
- number of solutions 11, first iteration 	 bound=1149871.284223, 	 objsol=1149871.284223 
-lowerbound = 1056694.141853 
- number of solutions 11, first iteration 	 bound=1149960.457026, 	 objsol=1149960.457026 
-lowerbound = 1058754.828457 
- number of solutions 11, first iteration 	 bound=1150050.034303, 	 objsol=1150050.034303 
-lowerbound = 1057456.040364 
- number of solutions 11, first iteration 	 bound=1150134.454136, 	 objsol=1150134.454136 
-lowerbound = 1058065.602320 
- number of solutions 11, first iteration 	 bound=1150198.843062, 	 objsol=1150198.843062 
-lowerbound = 1059469.326045 
- number of solutions 11, first iteration 	 bound=1150276.644949, 	 objsol=1150276.644949 
-lowerbound = 1057383.398271 
- number of solutions 11, first iteration 	 bound=1150335.587191, 	 objsol=1150335.587191 
-lowerbound = 1057441.885506 
- number of solutions 11, first iteration 	 bound=1150417.736883, 	 objsol=1150417.736883 
-lowerbound = 1059724.034773 
- number of solutions 11, first iteration 	 bound=1150470.413052, 	 objsol=1150470.413052 
-lowerbound = 1058197.656365 
- number of solutions 11, first iteration 	 bound=1150588.361877, 	 objsol=1150588.361877 
-lowerbound = 1060709.441619 
- number of solutions 11, first iteration 	 bound=1150614.462262, 	 objsol=1150614.462262 
-lowerbound = 1055986.516663 
- number of solutions 11, first iteration 	 bound=1150721.716561, 	 objsol=1150721.716561 
-lowerbound = 1061993.529459 
- number of solutions 11, first iteration 	 bound=1150797.839650, 	 objsol=1150797.839650 
-lowerbound = 1059165.294200 
- number of solutions 11, first iteration 	 bound=1150863.106181, 	 objsol=1150863.106181 
-lowerbound = 1059083.725979 
- number of solutions 11, first iteration 	 bound=1150932.022292, 	 objsol=1150932.022292 
-lowerbound = 1057291.126910 
- number of solutions 11, first iteration 	 bound=1151003.277947, 	 objsol=1151003.277947 
-lowerbound = 1061589.759273 
- number of solutions 11, first iteration 	 bound=1151102.084375, 	 objsol=1151102.084375 
-lowerbound = 1059107.308669 
- number of solutions 11, first iteration 	 bound=1151124.077655, 	 objsol=1151124.077655 
-lowerbound = 1056417.969204 
- number of solutions 11, first iteration 	 bound=1151261.814382, 	 objsol=1151261.814382 
-lowerbound = 1061805.261304 
- number of solutions 11, first iteration 	 bound=1151289.934078, 	 objsol=1151289.934078 
-lowerbound = 1055831.850144 
- number of solutions 11, first iteration 	 bound=1151415.151058, 	 objsol=1151415.151058 
-lowerbound = 1058892.235716 
- number of solutions 11, first iteration 	 bound=1151446.799041, 	 objsol=1151446.799041 
-lowerbound = 1057943.126419 
- number of solutions 11, first iteration 	 bound=1151540.635552, 	 objsol=1151540.635552 
-lowerbound = 1061452.778258 
- number of solutions 11, first iteration 	 bound=1151612.083404, 	 objsol=1151612.083404 
-lowerbound = 1060358.255514 
- number of solutions 11, first iteration 	 bound=1151713.184376, 	 objsol=1151713.184376 
-lowerbound = 1057927.202177 
- number of solutions 11, first iteration 	 bound=1151765.959003, 	 objsol=1151765.959003 
-lowerbound = 1058320.961746 
- number of solutions 11, first iteration 	 bound=1151843.505105, 	 objsol=1151843.505105 
-lowerbound = 1059940.074775 
- number of solutions 11, first iteration 	 bound=1151925.401525, 	 objsol=1151925.401525 
-lowerbound = 1057777.919308 
- number of solutions 11, first iteration 	 bound=1151962.391264, 	 objsol=1151962.391264 
-lowerbound = 1061414.747147 
- number of solutions 11, first iteration 	 bound=1152067.582114, 	 objsol=1152067.582114 
-lowerbound = 1058543.307546 
- number of solutions 11, first iteration 	 bound=1152130.003186, 	 objsol=1152130.003186 
-lowerbound = 1059730.469627 
- number of solutions 11, first iteration 	 bound=1152206.094920, 	 objsol=1152206.094920 
-lowerbound = 1061568.495483 
- number of solutions 11, first iteration 	 bound=1152284.715253, 	 objsol=1152284.715253 
-lowerbound = 1057162.800749 
- number of solutions 11, first iteration 	 bound=1152392.477751, 	 objsol=1152392.477751 
-lowerbound = 1058949.033944 
- number of solutions 11, first iteration 	 bound=1152448.803202, 	 objsol=1152448.803202 
-lowerbound = 1057303.838613 
- number of solutions 11, first iteration 	 bound=1152504.102162, 	 objsol=1152504.102162 
-lowerbound = 1061344.258896 
- number of solutions 11, first iteration 	 bound=1152592.642546, 	 objsol=1152592.642546 
-lowerbound = 1061184.393666 
- number of solutions 11, first iteration 	 bound=1152650.764843, 	 objsol=1152650.764843 
-lowerbound = 1060385.632599 
- number of solutions 11, first iteration 	 bound=1152721.921599, 	 objsol=1152721.921599 
-lowerbound = 1059391.200721 
- number of solutions 11, first iteration 	 bound=1152819.283138, 	 objsol=1152819.283138 
-lowerbound = 1061289.280217 
- number of solutions 11, first iteration 	 bound=1152895.134406, 	 objsol=1152895.134406 
-lowerbound = 1056654.215803 
- number of solutions 11, first iteration 	 bound=1152947.859995, 	 objsol=1152947.859995 
-lowerbound = 1060794.083144 
- number of solutions 11, first iteration 	 bound=1153048.944667, 	 objsol=1153048.944667 
-lowerbound = 1055346.883274 
- number of solutions 11, first iteration 	 bound=1153112.580877, 	 objsol=1153112.580877 
-lowerbound = 1061414.304176 
- number of solutions 11, first iteration 	 bound=1153172.712514, 	 objsol=1153172.712514 
-lowerbound = 1059103.343678 
- number of solutions 11, first iteration 	 bound=1153259.565363, 	 objsol=1153259.565363 
-lowerbound = 1060141.754665 
- number of solutions 11, first iteration 	 bound=1153342.131190, 	 objsol=1153342.131190 
-lowerbound = 1058448.492481 
- number of solutions 11, first iteration 	 bound=1153404.331913, 	 objsol=1153404.331913 
-lowerbound = 1059900.688406 
- number of solutions 11, first iteration 	 bound=1153490.183091, 	 objsol=1153490.183091 
-lowerbound = 1059712.760952 
- number of solutions 11, first iteration 	 bound=1153549.944151, 	 objsol=1153549.944151 
-lowerbound = 1057846.012203 
- number of solutions 11, first iteration 	 bound=1153650.983793, 	 objsol=1153650.983793 
-lowerbound = 1062064.745957 
- number of solutions 11, first iteration 	 bound=1153703.915975, 	 objsol=1153703.915975 
-lowerbound = 1061606.965093 
- number of solutions 11, first iteration 	 bound=1153778.750356, 	 objsol=1153778.750356 
-lowerbound = 1060883.745415 
- number of solutions 11, first iteration 	 bound=1153860.494339, 	 objsol=1153860.494339 
-lowerbound = 1058237.766379 
- number of solutions 11, first iteration 	 bound=1153942.681620, 	 objsol=1153942.681620 
-lowerbound = 1056892.456158 
- number of solutions 11, first iteration 	 bound=1153982.326262, 	 objsol=1153982.326262 
-lowerbound = 1062059.482221 
- number of solutions 11, first iteration 	 bound=1154076.335117, 	 objsol=1154076.335117 
-lowerbound = 1060847.708162 
- number of solutions 11, first iteration 	 bound=1154147.882351, 	 objsol=1154147.882351 
-lowerbound = 1058015.971036 
- number of solutions 11, first iteration 	 bound=1154208.626519, 	 objsol=1154208.626519 
-lowerbound = 1059311.083087 
- number of solutions 11, first iteration 	 bound=1154298.758346, 	 objsol=1154298.758346 
-lowerbound = 1060992.546768 
- number of solutions 11, first iteration 	 bound=1154394.256870, 	 objsol=1154394.256870 
-lowerbound = 1061748.843158 
- number of solutions 11, first iteration 	 bound=1154447.160131, 	 objsol=1154447.160131 
-lowerbound = 1059250.977346 
- number of solutions 11, first iteration 	 bound=1154537.878151, 	 objsol=1154537.878151 
-lowerbound = 1060105.001557 
- number of solutions 11, first iteration 	 bound=1154607.181922, 	 objsol=1154607.181922 
-lowerbound = 1059546.866753 
- number of solutions 11, first iteration 	 bound=1154638.612308, 	 objsol=1154638.612308 
-lowerbound = 1060879.957748 
- number of solutions 11, first iteration 	 bound=1154781.383993, 	 objsol=1154781.383993 
-lowerbound = 1059987.727681 
- number of solutions 11, first iteration 	 bound=1154825.653370, 	 objsol=1154825.653370 
-lowerbound = 1058633.424734 
- number of solutions 11, first iteration 	 bound=1154874.379279, 	 objsol=1154874.379279 
-lowerbound = 1058170.034593 
- number of solutions 11, first iteration 	 bound=1154955.588107, 	 objsol=1154955.588107 
-lowerbound = 1063368.917830 
- number of solutions 11, first iteration 	 bound=1155051.219718, 	 objsol=1155051.219718 
-lowerbound = 1060142.571270 
- number of solutions 11, first iteration 	 bound=1155109.350053, 	 objsol=1155109.350053 
-lowerbound = 1062324.255574 
- number of solutions 11, first iteration 	 bound=1155184.160836, 	 objsol=1155184.160836 
-lowerbound = 1055666.539520 
- number of solutions 11, first iteration 	 bound=1155286.582954, 	 objsol=1155286.582954 
-lowerbound = 1063563.776775 
- number of solutions 11, first iteration 	 bound=1155319.356464, 	 objsol=1155319.356464 
-lowerbound = 1058363.562460 
- number of solutions 11, first iteration 	 bound=1155402.298100, 	 objsol=1155402.298100 
-lowerbound = 1060743.658440 
- number of solutions 11, first iteration 	 bound=1155483.378151, 	 objsol=1155483.378151 
-lowerbound = 1059242.675965 
- number of solutions 11, first iteration 	 bound=1155550.124717, 	 objsol=1155550.124717 
-lowerbound = 1063646.665668 
- number of solutions 11, first iteration 	 bound=1155635.600747, 	 objsol=1155635.600747 
-lowerbound = 1056649.315798 
- number of solutions 11, first iteration 	 bound=1155697.057118, 	 objsol=1155697.057118 
-lowerbound = 1063731.513621 
- number of solutions 11, first iteration 	 bound=1155776.978952, 	 objsol=1155776.978952 
-lowerbound = 1057769.368847 
- number of solutions 11, first iteration 	 bound=1155826.235702, 	 objsol=1155826.235702 
-lowerbound = 1061581.719257 
- number of solutions 11, first iteration 	 bound=1155948.550456, 	 objsol=1155948.550456 
-lowerbound = 1057646.461684 
- number of solutions 11, first iteration 	 bound=1155989.000337, 	 objsol=1155989.000337 
-lowerbound = 1062159.680296 
- number of solutions 11, first iteration 	 bound=1156073.055132, 	 objsol=1156073.055132 
-lowerbound = 1058171.628553 
- number of solutions 11, first iteration 	 bound=1156155.103045, 	 objsol=1156155.103045 
-lowerbound = 1061756.520517 
- number of solutions 11, first iteration 	 bound=1156218.289889, 	 objsol=1156218.289889 
-lowerbound = 1061262.733352 
- number of solutions 11, first iteration 	 bound=1156298.752485, 	 objsol=1156298.752485 
-lowerbound = 1057138.838282 
- number of solutions 11, first iteration 	 bound=1156374.247155, 	 objsol=1156374.247155 
-lowerbound = 1063028.658343 
- number of solutions 11, first iteration 	 bound=1156412.746694, 	 objsol=1156412.746694 
-lowerbound = 1061841.451176 
- number of solutions 11, first iteration 	 bound=1156498.592580, 	 objsol=1156498.592580 
-lowerbound = 1061182.051047 
- number of solutions 11, first iteration 	 bound=1156578.988698, 	 objsol=1156578.988698 
-lowerbound = 1058794.144212 
- number of solutions 11, first iteration 	 bound=1156657.439773, 	 objsol=1156657.439773 
-lowerbound = 1061913.412893 
- number of solutions 11, first iteration 	 bound=1156730.525494, 	 objsol=1156730.525494 
-lowerbound = 1060473.372584 
- number of solutions 11, first iteration 	 bound=1156807.406355, 	 objsol=1156807.406355 
-lowerbound = 1061502.648869 
- number of solutions 11, first iteration 	 bound=1156872.514460, 	 objsol=1156872.514460 
-lowerbound = 1059855.299603 
- number of solutions 11, first iteration 	 bound=1156962.067925, 	 objsol=1156962.067925 
-lowerbound = 1060816.322009 
- number of solutions 11, first iteration 	 bound=1157048.729652, 	 objsol=1157048.729652 
-lowerbound = 1060025.649919 
- number of solutions 11, first iteration 	 bound=1157060.968143, 	 objsol=1157060.968143 
-lowerbound = 1062822.658343 
- number of solutions 11, first iteration 	 bound=1157183.613688, 	 objsol=1157183.613688 
-lowerbound = 1059077.876955 
- number of solutions 11, first iteration 	 bound=1157231.250417, 	 objsol=1157231.250417 
-lowerbound = 1061147.586070 
- number of solutions 11, first iteration 	 bound=1157297.867932, 	 objsol=1157297.867932 
-lowerbound = 1060581.667857 
- number of solutions 11, first iteration 	 bound=1157369.127329, 	 objsol=1157369.127329 
-lowerbound = 1060504.588313 
- number of solutions 11, first iteration 	 bound=1157480.228678, 	 objsol=1157480.228678 
-lowerbound = 1060602.808668 
- number of solutions 11, first iteration 	 bound=1157511.044310, 	 objsol=1157511.044310 
-lowerbound = 1061617.252106 
- number of solutions 11, first iteration 	 bound=1157599.664821, 	 objsol=1157599.664821 
-lowerbound = 1060852.390327 
- number of solutions 11, first iteration 	 bound=1157707.610628, 	 objsol=1157707.610628 
-lowerbound = 1059358.845177 
- number of solutions 11, first iteration 	 bound=1157731.452793, 	 objsol=1157731.452793 
-lowerbound = 1062419.435687 
- number of solutions 11, first iteration 	 bound=1157828.557348, 	 objsol=1157828.557348 
-lowerbound = 1060912.601466 
- number of solutions 11, first iteration 	 bound=1157904.277926, 	 objsol=1157904.277926 
-lowerbound = 1061928.059177 
- number of solutions 11, first iteration 	 bound=1157977.745497, 	 objsol=1157977.745497 
-lowerbound = 1061171.546045 
- number of solutions 11, first iteration 	 bound=1158041.290865, 	 objsol=1158041.290865 
-lowerbound = 1061432.029003 
- number of solutions 11, first iteration 	 bound=1158105.688194, 	 objsol=1158105.688194 
-lowerbound = 1060646.065598 
- number of solutions 11, first iteration 	 bound=1158192.338536, 	 objsol=1158192.338536 
-lowerbound = 1062423.921331 
- number of solutions 11, first iteration 	 bound=1158263.625483, 	 objsol=1158263.625483 
-lowerbound = 1061701.592243 
- number of solutions 11, first iteration 	 bound=1158313.647391, 	 objsol=1158313.647391 
-lowerbound = 1060730.615338 
- number of solutions 11, first iteration 	 bound=1158406.441416, 	 objsol=1158406.441416 
-lowerbound = 1060921.379120 
- number of solutions 11, first iteration 	 bound=1158498.105504, 	 objsol=1158498.105504 
-lowerbound = 1061255.128331 
- number of solutions 11, first iteration 	 bound=1158554.488913, 	 objsol=1158554.488913 
-lowerbound = 1062122.369524 
- number of solutions 11, first iteration 	 bound=1158611.067182, 	 objsol=1158611.067182 
-lowerbound = 1059796.640763 
- number of solutions 11, first iteration 	 bound=1158687.778778, 	 objsol=1158687.778778 
-lowerbound = 1062635.405036 
- number of solutions 11, first iteration 	 bound=1158762.432764, 	 objsol=1158762.432764 
-lowerbound = 1061259.903870 
- number of solutions 11, first iteration 	 bound=1158807.622271, 	 objsol=1158807.622271 
-lowerbound = 1060456.352723 
- number of solutions 11, first iteration 	 bound=1158888.860309, 	 objsol=1158888.860309 
-lowerbound = 1062872.093195 
- number of solutions 11, first iteration 	 bound=1158982.541417, 	 objsol=1158982.541417 
-lowerbound = 1061571.366535 
- number of solutions 11, first iteration 	 bound=1159052.082771, 	 objsol=1159052.082771 
-lowerbound = 1063338.607550 
- number of solutions 11, first iteration 	 bound=1159134.069583, 	 objsol=1159134.069583 
-lowerbound = 1059751.182196 
- number of solutions 11, first iteration 	 bound=1159210.079609, 	 objsol=1159210.079609 
-lowerbound = 1062130.208307 
- number of solutions 11, first iteration 	 bound=1159256.666664, 	 objsol=1159256.666664 
-lowerbound = 1061926.258637 
- number of solutions 11, first iteration 	 bound=1159323.452191, 	 objsol=1159323.452191 
-lowerbound = 1063770.542818 
- number of solutions 11, first iteration 	 bound=1159390.705684, 	 objsol=1159390.705684 
-lowerbound = 1061415.199641 
- number of solutions 11, first iteration 	 bound=1159463.274239, 	 objsol=1159463.274239 
-lowerbound = 1062409.189567 
- number of solutions 11, first iteration 	 bound=1159552.788688, 	 objsol=1159552.788688 
-lowerbound = 1061216.973853 
- number of solutions 11, first iteration 	 bound=1159628.570211, 	 objsol=1159628.570211 
-lowerbound = 1061565.687247 
- number of solutions 11, first iteration 	 bound=1159696.585253, 	 objsol=1159696.585253 
-lowerbound = 1064445.983331 
- number of solutions 11, first iteration 	 bound=1159755.727898, 	 objsol=1159755.727898 
-lowerbound = 1064607.083712 
- number of solutions 11, first iteration 	 bound=1159837.599865, 	 objsol=1159837.599865 
-lowerbound = 1060340.979984 
- number of solutions 11, first iteration 	 bound=1159894.275671, 	 objsol=1159894.275671 
-lowerbound = 1063698.605933 
- number of solutions 11, first iteration 	 bound=1160013.043124, 	 objsol=1160013.043124 
-lowerbound = 1060359.009219 
- number of solutions 11, first iteration 	 bound=1160065.301692, 	 objsol=1160065.301692 
-lowerbound = 1063001.782322 
- number of solutions 11, first iteration 	 bound=1160107.387617, 	 objsol=1160107.387617 
-lowerbound = 1062497.831402 
- number of solutions 11, first iteration 	 bound=1160209.239867, 	 objsol=1160209.239867 
-lowerbound = 1061320.515321 
- number of solutions 11, first iteration 	 bound=1160288.941756, 	 objsol=1160288.941756 
-lowerbound = 1061875.773637 
- number of solutions 11, first iteration 	 bound=1160331.338544, 	 objsol=1160331.338544 
-lowerbound = 1064566.423373 
- number of solutions 11, first iteration 	 bound=1160409.242493, 	 objsol=1160409.242493 
-lowerbound = 1062374.418110 
- number of solutions 11, first iteration 	 bound=1160495.685039, 	 objsol=1160495.685039 
-lowerbound = 1062270.736204 
- number of solutions 11, first iteration 	 bound=1160521.837293, 	 objsol=1160521.837293 
-lowerbound = 1063031.552152 
- number of solutions 11, first iteration 	 bound=1160603.250501, 	 objsol=1160603.250501 
-lowerbound = 1062798.312429 
- number of solutions 11, first iteration 	 bound=1160684.627915, 	 objsol=1160684.627915 
-lowerbound = 1063709.243144 
- number of solutions 11, first iteration 	 bound=1160755.854796, 	 objsol=1160755.854796 
-lowerbound = 1060858.147287 
- number of solutions 11, first iteration 	 bound=1160843.778159, 	 objsol=1160843.778159 
-lowerbound = 1061602.584053 
- number of solutions 11, first iteration 	 bound=1160913.192893, 	 objsol=1160913.192893 
-lowerbound = 1061139.456905 
- number of solutions 11, first iteration 	 bound=1160973.047120, 	 objsol=1160973.047120 
-lowerbound = 1063700.038978 
- number of solutions 11, first iteration 	 bound=1161057.083906, 	 objsol=1161057.083906 
-lowerbound = 1063037.135870 
- number of solutions 11, first iteration 	 bound=1161115.591153, 	 objsol=1161115.591153 
-lowerbound = 1062944.814460 
- number of solutions 11, first iteration 	 bound=1161194.660117, 	 objsol=1161194.660117 
-lowerbound = 1064785.515633 
- number of solutions 11, first iteration 	 bound=1161245.953877, 	 objsol=1161245.953877 
-lowerbound = 1064237.804579 
- number of solutions 11, first iteration 	 bound=1161353.672565, 	 objsol=1161353.672565 
-lowerbound = 1062191.471118 
- number of solutions 11, first iteration 	 bound=1161419.522263, 	 objsol=1161419.522263 
-lowerbound = 1061816.878995 
- number of solutions 11, first iteration 	 bound=1161460.377231, 	 objsol=1161460.377231 
-lowerbound = 1060983.171809 
- number of solutions 11, first iteration 	 bound=1161546.217250, 	 objsol=1161546.217250 
-lowerbound = 1063037.029780 
- number of solutions 11, first iteration 	 bound=1161614.751621, 	 objsol=1161614.751621 
-lowerbound = 1062507.203221 
- number of solutions 11, first iteration 	 bound=1161686.242743, 	 objsol=1161686.242743 
-lowerbound = 1065466.693312 
- number of solutions 11, first iteration 	 bound=1161765.973201, 	 objsol=1161765.973201 
-lowerbound = 1062969.624240 
- number of solutions 11, first iteration 	 bound=1161824.410635, 	 objsol=1161824.410635 
-lowerbound = 1063089.001451 
- number of solutions 11, first iteration 	 bound=1161897.326733, 	 objsol=1161897.326733 
-lowerbound = 1061676.570796 
- number of solutions 11, first iteration 	 bound=1161990.974596, 	 objsol=1161990.974596 
-lowerbound = 1061033.279033 
- number of solutions 11, first iteration 	 bound=1162042.268888, 	 objsol=1162042.268888 
-lowerbound = 1064484.601301 
- number of solutions 11, first iteration 	 bound=1162105.526144, 	 objsol=1162105.526144 
-lowerbound = 1063924.936322 
- number of solutions 11, first iteration 	 bound=1162199.719631, 	 objsol=1162199.719631 
-lowerbound = 1063911.867240 
- number of solutions 11, first iteration 	 bound=1162241.831909, 	 objsol=1162241.831909 
-lowerbound = 1062535.104512 
- number of solutions 11, first iteration 	 bound=1162304.609359, 	 objsol=1162304.609359 
-lowerbound = 1065295.547977 
- number of solutions 11, first iteration 	 bound=1162387.117098, 	 objsol=1162387.117098 
-lowerbound = 1061335.778567 
- number of solutions 11, first iteration 	 bound=1162461.909629, 	 objsol=1162461.909629 
-lowerbound = 1064909.678183 
- number of solutions 11, first iteration 	 bound=1162531.790401, 	 objsol=1162531.790401 
-lowerbound = 1064609.963734 
- number of solutions 11, first iteration 	 bound=1162595.960265, 	 objsol=1162595.960265 
-lowerbound = 1063882.392352 
- number of solutions 11, first iteration 	 bound=1162671.080279, 	 objsol=1162671.080279 
-lowerbound = 1065517.178301 
- number of solutions 11, first iteration 	 bound=1162736.714434, 	 objsol=1162736.714434 
-lowerbound = 1063787.486923 
- number of solutions 11, first iteration 	 bound=1162806.823744, 	 objsol=1162806.823744 
-lowerbound = 1064561.171089 
- number of solutions 11, first iteration 	 bound=1162879.618751, 	 objsol=1162879.618751 
-lowerbound = 1061711.659211 
- number of solutions 11, first iteration 	 bound=1162955.026371, 	 objsol=1162955.026371 
-lowerbound = 1065511.351669 
- number of solutions 11, first iteration 	 bound=1162987.791308, 	 objsol=1162987.791308 
-lowerbound = 1062443.952940 
- number of solutions 11, first iteration 	 bound=1163096.733707, 	 objsol=1163096.733707 
-lowerbound = 1064896.084271 
- number of solutions 11, first iteration 	 bound=1163138.729022, 	 objsol=1163138.729022 
-lowerbound = 1063820.732956 
- number of solutions 11, first iteration 	 bound=1163219.294344, 	 objsol=1163219.294344 
-lowerbound = 1065606.000350 
- number of solutions 11, first iteration 	 bound=1163295.093657, 	 objsol=1163295.093657 
-lowerbound = 1063183.406699 
- number of solutions 11, first iteration 	 bound=1163364.399011, 	 objsol=1163364.399011 
-lowerbound = 1062600.583889 
- number of solutions 11, first iteration 	 bound=1163442.658202, 	 objsol=1163442.658202 
-lowerbound = 1062793.127198 
- number of solutions 11, first iteration 	 bound=1163480.540392, 	 objsol=1163480.540392 
-lowerbound = 1063635.603359 
- number of solutions 11, first iteration 	 bound=1163580.739724, 	 objsol=1163580.739724 
-lowerbound = 1067395.510296 
- number of solutions 11, first iteration 	 bound=1163627.334768, 	 objsol=1163627.334768 
-lowerbound = 1064923.542370 
- number of solutions 11, first iteration 	 bound=1163714.469517, 	 objsol=1163714.469517 
-lowerbound = 1063306.371829 
- number of solutions 11, first iteration 	 bound=1163768.981455, 	 objsol=1163768.981455 
-lowerbound = 1065199.350626 
- number of solutions 11, first iteration 	 bound=1163859.827216, 	 objsol=1163859.827216 
-lowerbound = 1063266.495773 
- number of solutions 11, first iteration 	 bound=1163897.179263, 	 objsol=1163897.179263 
-lowerbound = 1065904.397854 
- number of solutions 11, first iteration 	 bound=1163988.557081, 	 objsol=1163988.557081 
-lowerbound = 1062629.139953 
- number of solutions 11, first iteration 	 bound=1164071.661526, 	 objsol=1164071.661526 
-lowerbound = 1068105.763371 
- number of solutions 11, first iteration 	 bound=1164117.586769, 	 objsol=1164117.586769 
-lowerbound = 1065692.476474 
- number of solutions 11, first iteration 	 bound=1164194.572556, 	 objsol=1164194.572556 
-lowerbound = 1064458.481880 
- number of solutions 11, first iteration 	 bound=1164280.931937, 	 objsol=1164280.931937 
-lowerbound = 1062965.425416 
- number of solutions 11, first iteration 	 bound=1164309.241606, 	 objsol=1164309.241606 
-lowerbound = 1067251.660144 
- number of solutions 11, first iteration 	 bound=1164385.867178, 	 objsol=1164385.867178 
-lowerbound = 1064872.349446 
- number of solutions 11, first iteration 	 bound=1164458.167835, 	 objsol=1164458.167835 
-lowerbound = 1066675.891219 
+number of solutions 1, first iteration 	 bound=1.000000, 	 objsol=1.000000 
+lowerbound = 1.000000 
+ number of solutions 2, first iteration 	 bound=34.000000, 	 objsol=34.000000 
+lowerbound = 90.000000 
+ number of solutions 2, first iteration 	 bound=58.333333, 	 objsol=58.333333 
+lowerbound = 1.000000 
+ number of solutions 3, first iteration 	 bound=64.250000, 	 objsol=64.250000 
+lowerbound = 75.000000 
+ number of solutions 4, first iteration 	 bound=68.900000, 	 objsol=68.900000 
+lowerbound = 31.000000 
+ number of solutions 5, first iteration 	 bound=72.158333, 	 objsol=72.158333 
+lowerbound = 46.000000 
+ number of solutions 6, first iteration 	 bound=72.450000, 	 objsol=72.450000 
+lowerbound = 91.000000 
+ number of solutions 6, first iteration 	 bound=68.869097, 	 objsol=68.869097 
+lowerbound = 75.000000 
+ number of solutions 7, first iteration 	 bound=69.768017, 	 objsol=69.768017 
+lowerbound = 61.000000 
+ number of solutions 8, first iteration 	 bound=73.231952, 	 objsol=73.231952 
+lowerbound = 90.000000 
+ number of solutions 8, first iteration 	 bound=69.768045, 	 objsol=69.768045 
+lowerbound = 61.000000 
+ number of solutions 8, first iteration 	 bound=73.231955, 	 objsol=73.231955 
+lowerbound = 90.000000 
  
\ No newline at end of file
diff --git a/src/relax_lagr.cpp b/src/relax_lagr.cpp
index e23a3a1d305fa9c2995c84eabda4995a52296b39..6938c4ea6084eca16384d7307d1bfdd63a81f5d5 100644
--- a/src/relax_lagr.cpp
+++ b/src/relax_lagr.cpp
@@ -296,15 +296,16 @@ SCIP_DECL_RELAXINIT(relaxInitlagr)
    FILE* lower;
    lower=fopen("lowerbounds.txt","wr");
    FILE* iter;
-   lower=fopen("iter.txt","wr");
+   iter=fopen("iter.txt","wr");
 
 
+   fprintf(lower, "hi");
    SCIP_Real* solvals;  
    SCIP_CALL(SCIPallocBufferArray(relaxscip,&solvals,nvars+2)); 
    solvals[nvars+1]=0;  //for last solutions
    solvals[nvars]=0; //for best solution
 
-   int maxiter=1250;
+   int maxiter=12;
 
    int oscilatecounter=0;
    int improvementcounter = 0;
@@ -324,7 +325,7 @@ SCIP_DECL_RELAXINIT(relaxInitlagr)
          int* varids = SCIPvardataGetvarids(vardata); 
          assert(varids=!NULL);
          int NVarInBadConss = SCIPvardataGetNVarInBadConss(vardata);
-         // if(NVarInBadConss==0){break;}
+         // if(NVarInBadConss==0){SCIPsetSolVal(relaxscip,) break;}
          // else
          // {
          // SCIP_CALL(SCIPprintOrigProblem(relaxscip, AfterPreProcessing, "lp", FALSE));
@@ -345,7 +346,7 @@ SCIP_DECL_RELAXINIT(relaxInitlagr)
       SCIPinfoMessage(relaxscip, TimeCollector, "\n finished changing the variable's weight after (sec) : %f\n", SCIPgetClockTime(relaxscip, varslottime));
       
       SCIP_CALL(SCIPaddOrigObjoffset(relaxscip,-1*sumofduals));
-      // SCIP_CALL(SCIPprintOrigProblem(relaxscip, AfterPreProcessing, "lp", FALSE));
+      SCIP_CALL(SCIPprintOrigProblem(relaxscip, AfterPreProcessing, "lp", FALSE));
       SCIPsetMessagehdlrQuiet(relaxscip, TRUE);
       // fclose(AfterPreProcessing);
 
@@ -382,8 +383,12 @@ SCIP_DECL_RELAXINIT(relaxInitlagr)
       SCIP_SOL* bestsol = SCIPgetBestSol(relaxscip) ;
       SCIP_SOL** sols = SCIPgetSols(relaxscip);
       int nsols = SCIPgetNSols(relaxscip);
-
-
+      
+      fprintf(lower,"%d iteration \n",iter);
+      for(int n=0; n<nsols; n++)
+      {
+         SCIP_CALL(SCIPprintSol(relaxscip,sols[n],lower,FALSE));
+      }
       
 
       /*text output*/
@@ -446,7 +451,7 @@ SCIP_DECL_RELAXINIT(relaxInitlagr)
       {
          SCIP_VAR* var = vars[v];
          
-         
+         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]; 
@@ -455,6 +460,8 @@ SCIP_DECL_RELAXINIT(relaxInitlagr)
       // fprintf(lower,"%f\n",lowerbound);
 
       // stepsize = (SCIPgetPrimalbound(relaxscip)-lowerbound)/getnorm(subgradients,nSlotConss,stepsize);
+      fprintf(dual,"dualbound = %f, lowerbound=%f, norm of subgrad %f\t stepsize= %f \n" ,SCIPgetPrimalbound(relaxscip),lowerbound, getnorm(subgradients,nSlotConss,stepsize), stepsize);
+     
       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);
@@ -470,7 +477,7 @@ SCIP_DECL_RELAXINIT(relaxInitlagr)
          if(dualmultipliers[r]<0){dualmultipliers[r]=0;}
          
          sumofduals+=dualmultipliers[r];
-         // fprintf(dual," then %f step size %f \n",dualmultipliers[r], stepsize);
+         fprintf(dual," then dual = %f step size %f, subgradient %f \n",dualmultipliers[r], stepsize,subgradients[r]);
       }
       // sumofduals=sum;
       // fprintf(dual,"iteration %d, sumofduals=%f\n",iter, sumofduals);
diff --git a/time.txt b/time.txt
index b7aef1dabdbc8cdb0a811f651e446132db02f872..ca0dea6ab4facb8ab08ccc06444dd35f8f3a8ff8 100644
--- a/time.txt
+++ b/time.txt
@@ -1,1127 +1,110 @@
 
- row and column identified in (sec) : 0.000172
+ row and column identified in (sec) : 0.001725
 
- finished changing the variable's weight after (sec) : 0.000414
+ finished changing the variable's weight after (sec) : 0.001725
 
- first iteration: problem solved after (sec) : 0.003492
+ first iteration: problem solved after (sec) : 0.001725
 
- subgradients found after (sec) : 0.008049
+ subgradients found after (sec) : 0.001725
 , lowerbound = 1.000000 
 
- new dual found after (sec) : 0.008091
+ new dual found after (sec) : 0.001725
 
- finished changing the variable's weight after (sec) : 0.008106
+ finished changing the variable's weight after (sec) : 0.001725
 
- first iteration: problem solved after (sec) : 0.010124
+ first iteration: problem solved after (sec) : 0.001725
 
- subgradients found after (sec) : 0.014033
-, lowerbound = 1.000000 
-
- new dual found after (sec) : 0.014076
-
- finished changing the variable's weight after (sec) : 0.014095
-
- first iteration: problem solved after (sec) : 0.016643
-
- subgradients found after (sec) : 0.026668
-, lowerbound = 1.000000 
-
- new dual found after (sec) : 0.026862
-
- finished changing the variable's weight after (sec) : 0.026919
-
- first iteration: problem solved after (sec) : 0.033669
-
- subgradients found after (sec) : 0.039234
-, lowerbound = 1.000000 
-
- new dual found after (sec) : 0.039348
-
- finished changing the variable's weight after (sec) : 0.039378
-
- first iteration: problem solved after (sec) : 0.050431
-
- subgradients found after (sec) : 0.063768
-, lowerbound = 1.000000 
-
- new dual found after (sec) : 0.063828
-
- finished changing the variable's weight after (sec) : 0.063845
-
- first iteration: problem solved after (sec) : 0.069662
-
- subgradients found after (sec) : 0.081571
-, lowerbound = 1.000000 
-
- new dual found after (sec) : 0.081627
-
- finished changing the variable's weight after (sec) : 0.081643
-
- first iteration: problem solved after (sec) : 0.092082
-
- subgradients found after (sec) : 0.098960
-, lowerbound = 1.000000 
-
- new dual found after (sec) : 0.098998
-
- finished changing the variable's weight after (sec) : 0.099017
-
- first iteration: problem solved after (sec) : 0.110073
-
- subgradients found after (sec) : 0.116468
-, lowerbound = 1.000000 
-
- new dual found after (sec) : 0.116506
-
- finished changing the variable's weight after (sec) : 0.116523
-
- first iteration: problem solved after (sec) : 0.137771
-
- subgradients found after (sec) : 0.146675
-, lowerbound = 46.000000 
-
- new dual found after (sec) : 0.146714
-
- finished changing the variable's weight after (sec) : 0.146730
-
- first iteration: problem solved after (sec) : 0.163891
-
- subgradients found after (sec) : 0.170033
-, lowerbound = 1.000000 
-
- new dual found after (sec) : 0.170076
-
- finished changing the variable's weight after (sec) : 0.170090
-
- first iteration: problem solved after (sec) : 0.185949
-
- subgradients found after (sec) : 0.202449
-, lowerbound = 46.000000 
-
- new dual found after (sec) : 0.202493
-
- finished changing the variable's weight after (sec) : 0.202560
-
- first iteration: problem solved after (sec) : 0.220240
-
- subgradients found after (sec) : 0.236488
-, lowerbound = 46.000000 
-
- new dual found after (sec) : 0.236539
-
- finished changing the variable's weight after (sec) : 0.236588
-
- first iteration: problem solved after (sec) : 0.247929
-
- subgradients found after (sec) : 0.257980
-, lowerbound = 46.000000 
-
- new dual found after (sec) : 0.258025
-
- finished changing the variable's weight after (sec) : 0.258043
-
- first iteration: problem solved after (sec) : 0.267446
-
- subgradients found after (sec) : 0.272147
-, lowerbound = 1.000000 
-
- new dual found after (sec) : 0.272175
-
- finished changing the variable's weight after (sec) : 0.272190
-
- first iteration: problem solved after (sec) : 0.283181
+ subgradients found after (sec) : 0.001725
+, lowerbound = 90.000000 
 
- subgradients found after (sec) : 0.292040
-, lowerbound = 75.000000 
-
- new dual found after (sec) : 0.292135
-
- finished changing the variable's weight after (sec) : 0.292170
-
- first iteration: problem solved after (sec) : 0.304545
-
- subgradients found after (sec) : 0.313874
-, lowerbound = 46.000000 
-
- new dual found after (sec) : 0.313925
-
- finished changing the variable's weight after (sec) : 0.313937
-
- first iteration: problem solved after (sec) : 0.325010
-
- subgradients found after (sec) : 0.332073
-, lowerbound = 1.000000 
-
- new dual found after (sec) : 0.332112
-
- finished changing the variable's weight after (sec) : 0.332127
-
- first iteration: problem solved after (sec) : 0.344750
-
- subgradients found after (sec) : 0.350420
-, lowerbound = 75.000000 
-
- new dual found after (sec) : 0.350457
-
- finished changing the variable's weight after (sec) : 0.350477
-
- first iteration: problem solved after (sec) : 0.362271
-
- subgradients found after (sec) : 0.367667
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 0.367718
-
- finished changing the variable's weight after (sec) : 0.367735
-
- first iteration: problem solved after (sec) : 0.380156
-
- subgradients found after (sec) : 0.389135
-, lowerbound = 75.000000 
-
- new dual found after (sec) : 0.389198
-
- finished changing the variable's weight after (sec) : 0.389223
-
- first iteration: problem solved after (sec) : 0.403949
-
- subgradients found after (sec) : 0.412378
-, lowerbound = 1.000000 
-
- new dual found after (sec) : 0.412463
+ new dual found after (sec) : 0.001725
 
- finished changing the variable's weight after (sec) : 0.412494
+ finished changing the variable's weight after (sec) : 0.001725
 
- first iteration: problem solved after (sec) : 0.425490
+ first iteration: problem solved after (sec) : 0.001725
 
- subgradients found after (sec) : 0.436080
-, lowerbound = 75.000000 
-
- new dual found after (sec) : 0.436199
-
- finished changing the variable's weight after (sec) : 0.436247
-
- first iteration: problem solved after (sec) : 0.448236
-
- subgradients found after (sec) : 0.456060
+ subgradients found after (sec) : 0.001725
 , lowerbound = 1.000000 
 
- new dual found after (sec) : 0.456137
+ new dual found after (sec) : 0.001725
 
- finished changing the variable's weight after (sec) : 0.456159
+ finished changing the variable's weight after (sec) : 0.001725
 
- first iteration: problem solved after (sec) : 0.468406
+ first iteration: problem solved after (sec) : 0.001725
 
- subgradients found after (sec) : 0.480247
+ subgradients found after (sec) : 0.001725
 , lowerbound = 75.000000 
 
- new dual found after (sec) : 0.480289
-
- finished changing the variable's weight after (sec) : 0.480304
-
- first iteration: problem solved after (sec) : 0.490254
-
- subgradients found after (sec) : 0.507246
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 0.507302
-
- finished changing the variable's weight after (sec) : 0.507316
-
- first iteration: problem solved after (sec) : 0.520940
-
- subgradients found after (sec) : 0.530743
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 0.530785
-
- finished changing the variable's weight after (sec) : 0.530803
+ new dual found after (sec) : 0.001725
 
- first iteration: problem solved after (sec) : 0.544776
+ finished changing the variable's weight after (sec) : 0.001725
 
- subgradients found after (sec) : 0.564726
-, lowerbound = 45.000000 
+ first iteration: problem solved after (sec) : 0.001725
 
- new dual found after (sec) : 0.564781
-
- finished changing the variable's weight after (sec) : 0.564805
-
- first iteration: problem solved after (sec) : 0.580204
-
- subgradients found after (sec) : 0.583687
-, lowerbound = 45.000000 
-
- new dual found after (sec) : 0.583727
-
- finished changing the variable's weight after (sec) : 0.583743
-
- first iteration: problem solved after (sec) : 0.592578
-
- subgradients found after (sec) : 0.597884
+ subgradients found after (sec) : 0.001725
 , lowerbound = 31.000000 
 
- new dual found after (sec) : 0.597927
-
- finished changing the variable's weight after (sec) : 0.597938
-
- first iteration: problem solved after (sec) : 0.601858
-
- subgradients found after (sec) : 0.613548
-, lowerbound = 75.000000 
-
- new dual found after (sec) : 0.613673
-
- finished changing the variable's weight after (sec) : 0.613776
-
- first iteration: problem solved after (sec) : 0.618175
-
- subgradients found after (sec) : 0.622886
-, lowerbound = 1.000000 
-
- new dual found after (sec) : 0.623006
+ new dual found after (sec) : 0.001725
 
- finished changing the variable's weight after (sec) : 0.623073
+ finished changing the variable's weight after (sec) : 0.001725
 
- first iteration: problem solved after (sec) : 0.634738
+ first iteration: problem solved after (sec) : 0.001725
 
- subgradients found after (sec) : 0.644929
-, lowerbound = 75.000000 
+ subgradients found after (sec) : 0.001725
+, lowerbound = 46.000000 
 
- new dual found after (sec) : 0.645087
+ new dual found after (sec) : 0.001725
 
- finished changing the variable's weight after (sec) : 0.645164
+ finished changing the variable's weight after (sec) : 0.001725
 
- first iteration: problem solved after (sec) : 0.650008
+ first iteration: problem solved after (sec) : 0.001725
 
- subgradients found after (sec) : 0.655097
-, lowerbound = 1.000000 
+ subgradients found after (sec) : 0.001725
+, lowerbound = 91.000000 
 
- new dual found after (sec) : 0.655218
+ new dual found after (sec) : 0.001725
 
- finished changing the variable's weight after (sec) : 0.655246
+ finished changing the variable's weight after (sec) : 0.001725
 
- first iteration: problem solved after (sec) : 0.663799
+ first iteration: problem solved after (sec) : 0.001725
 
- subgradients found after (sec) : 0.666612
+ subgradients found after (sec) : 0.001725
 , lowerbound = 75.000000 
 
- new dual found after (sec) : 0.666659
-
- finished changing the variable's weight after (sec) : 0.666675
-
- first iteration: problem solved after (sec) : 0.673054
-
- subgradients found after (sec) : 0.682264
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 0.682322
-
- finished changing the variable's weight after (sec) : 0.682347
-
- first iteration: problem solved after (sec) : 0.687952
-
- subgradients found after (sec) : 0.697936
-, lowerbound = 45.000000 
-
- new dual found after (sec) : 0.697986
-
- finished changing the variable's weight after (sec) : 0.698003
-
- first iteration: problem solved after (sec) : 0.707602
-
- subgradients found after (sec) : 0.714583
-, lowerbound = 45.000000 
-
- new dual found after (sec) : 0.714626
-
- finished changing the variable's weight after (sec) : 0.714643
-
- first iteration: problem solved after (sec) : 0.725393
-
- subgradients found after (sec) : 0.730832
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 0.730879
-
- finished changing the variable's weight after (sec) : 0.730895
-
- first iteration: problem solved after (sec) : 0.746663
-
- subgradients found after (sec) : 0.751705
-, lowerbound = 45.000000 
-
- new dual found after (sec) : 0.751794
-
- finished changing the variable's weight after (sec) : 0.751817
-
- first iteration: problem solved after (sec) : 0.763637
-
- subgradients found after (sec) : 0.769296
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 0.769458
-
- finished changing the variable's weight after (sec) : 0.769536
-
- first iteration: problem solved after (sec) : 0.774887
-
- subgradients found after (sec) : 0.783403
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 0.783515
-
- finished changing the variable's weight after (sec) : 0.783556
-
- first iteration: problem solved after (sec) : 0.789954
-
- subgradients found after (sec) : 0.803887
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 0.803957
-
- finished changing the variable's weight after (sec) : 0.803990
-
- first iteration: problem solved after (sec) : 0.811035
-
- subgradients found after (sec) : 0.820756
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 0.820823
-
- finished changing the variable's weight after (sec) : 0.820861
-
- first iteration: problem solved after (sec) : 0.831300
-
- subgradients found after (sec) : 0.837327
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 0.837398
-
- finished changing the variable's weight after (sec) : 0.837426
-
- first iteration: problem solved after (sec) : 0.854492
-
- subgradients found after (sec) : 0.864392
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 0.864545
-
- finished changing the variable's weight after (sec) : 0.864614
-
- first iteration: problem solved after (sec) : 0.881985
-
- subgradients found after (sec) : 0.886445
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 0.886498
-
- finished changing the variable's weight after (sec) : 0.886517
-
- first iteration: problem solved after (sec) : 0.899798
-
- subgradients found after (sec) : 0.903220
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 0.903264
-
- finished changing the variable's weight after (sec) : 0.903286
-
- first iteration: problem solved after (sec) : 0.914383
+ new dual found after (sec) : 0.001725
 
- subgradients found after (sec) : 0.918506
-, lowerbound = 120.000000 
+ finished changing the variable's weight after (sec) : 0.001725
 
- new dual found after (sec) : 0.918559
+ first iteration: problem solved after (sec) : 0.001725
 
- finished changing the variable's weight after (sec) : 0.918579
+ subgradients found after (sec) : 0.001725
+, lowerbound = 61.000000 
 
- first iteration: problem solved after (sec) : 0.928877
+ new dual found after (sec) : 0.001725
 
- subgradients found after (sec) : 0.939936
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 0.940008
-
- finished changing the variable's weight after (sec) : 0.940026
-
- first iteration: problem solved after (sec) : 0.947488
-
- subgradients found after (sec) : 0.964042
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 0.964086
-
- finished changing the variable's weight after (sec) : 0.964109
-
- first iteration: problem solved after (sec) : 0.973338
-
- subgradients found after (sec) : 0.980353
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 0.980432
-
- finished changing the variable's weight after (sec) : 0.980456
-
- first iteration: problem solved after (sec) : 0.987019
-
- subgradients found after (sec) : 0.993122
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 0.993286
-
- finished changing the variable's weight after (sec) : 0.993330
-
- first iteration: problem solved after (sec) : 0.999261
-
- subgradients found after (sec) : 1.005822
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 1.005879
-
- finished changing the variable's weight after (sec) : 1.005898
-
- first iteration: problem solved after (sec) : 1.012163
-
- subgradients found after (sec) : 1.022449
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 1.022520
-
- finished changing the variable's weight after (sec) : 1.022543
-
- first iteration: problem solved after (sec) : 1.027397
-
- subgradients found after (sec) : 1.039532
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 1.039577
-
- finished changing the variable's weight after (sec) : 1.039593
-
- first iteration: problem solved after (sec) : 1.046551
-
- subgradients found after (sec) : 1.051828
-, lowerbound = 120.000000 
+ finished changing the variable's weight after (sec) : 0.001725
 
- new dual found after (sec) : 1.051897
+ first iteration: problem solved after (sec) : 0.001725
 
- finished changing the variable's weight after (sec) : 1.051913
+ subgradients found after (sec) : 0.001725
+, lowerbound = 90.000000 
 
- first iteration: problem solved after (sec) : 1.059183
+ new dual found after (sec) : 0.001725
 
- subgradients found after (sec) : 1.062836
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 1.062881
-
- finished changing the variable's weight after (sec) : 1.062899
-
- first iteration: problem solved after (sec) : 1.077821
-
- subgradients found after (sec) : 1.081575
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 1.081611
-
- finished changing the variable's weight after (sec) : 1.081627
-
- first iteration: problem solved after (sec) : 1.096263
-
- subgradients found after (sec) : 1.099700
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 1.099747
-
- finished changing the variable's weight after (sec) : 1.099770
-
- first iteration: problem solved after (sec) : 1.115608
-
- subgradients found after (sec) : 1.119333
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 1.119369
-
- finished changing the variable's weight after (sec) : 1.119384
+ finished changing the variable's weight after (sec) : 0.001725
 
- first iteration: problem solved after (sec) : 1.134438
+ first iteration: problem solved after (sec) : 0.001725
 
- subgradients found after (sec) : 1.138069
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 1.138116
-
- finished changing the variable's weight after (sec) : 1.138133
-
- first iteration: problem solved after (sec) : 1.158348
-
- subgradients found after (sec) : 1.166183
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 1.166226
-
- finished changing the variable's weight after (sec) : 1.166244
-
- first iteration: problem solved after (sec) : 1.181479
+ subgradients found after (sec) : 0.001725
+, lowerbound = 61.000000 
 
- subgradients found after (sec) : 1.184905
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 1.184957
-
- finished changing the variable's weight after (sec) : 1.184983
-
- first iteration: problem solved after (sec) : 1.200687
+ new dual found after (sec) : 0.001725
 
- subgradients found after (sec) : 1.207300
-, lowerbound = 120.000000 
+ finished changing the variable's weight after (sec) : 0.001725
 
- new dual found after (sec) : 1.207356
-
- finished changing the variable's weight after (sec) : 1.207385
-
- first iteration: problem solved after (sec) : 1.219406
-
- subgradients found after (sec) : 1.222643
-, lowerbound = 31.000000 
+ first iteration: problem solved after (sec) : 0.001725
 
- new dual found after (sec) : 1.222679
-
- finished changing the variable's weight after (sec) : 1.222696
-
- first iteration: problem solved after (sec) : 1.238111
-
- subgradients found after (sec) : 1.244475
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 1.244587
-
- finished changing the variable's weight after (sec) : 1.244842
-
- first iteration: problem solved after (sec) : 1.257716
-
- subgradients found after (sec) : 1.273762
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 1.273810
-
- finished changing the variable's weight after (sec) : 1.273827
-
- first iteration: problem solved after (sec) : 1.285971
-
- subgradients found after (sec) : 1.290857
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 1.290905
-
- finished changing the variable's weight after (sec) : 1.290927
-
- first iteration: problem solved after (sec) : 1.311756
-
- subgradients found after (sec) : 1.326074
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 1.326125
-
- finished changing the variable's weight after (sec) : 1.326160
-
- first iteration: problem solved after (sec) : 1.334530
-
- subgradients found after (sec) : 1.349052
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 1.349107
-
- finished changing the variable's weight after (sec) : 1.349124
-
- first iteration: problem solved after (sec) : 1.353694
-
- subgradients found after (sec) : 1.364390
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 1.364442
-
- finished changing the variable's weight after (sec) : 1.364465
-
- first iteration: problem solved after (sec) : 1.368809
-
- subgradients found after (sec) : 1.381127
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 1.381194
-
- finished changing the variable's weight after (sec) : 1.381211
-
- first iteration: problem solved after (sec) : 1.390071
-
- subgradients found after (sec) : 1.398892
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 1.398947
-
- finished changing the variable's weight after (sec) : 1.399007
-
- first iteration: problem solved after (sec) : 1.412047
-
- subgradients found after (sec) : 1.417008
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 1.417149
-
- finished changing the variable's weight after (sec) : 1.417165
-
- first iteration: problem solved after (sec) : 1.429299
-
- subgradients found after (sec) : 1.432734
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 1.432779
-
- finished changing the variable's weight after (sec) : 1.432807
-
- first iteration: problem solved after (sec) : 1.439484
-
- subgradients found after (sec) : 1.452770
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 1.452826
-
- finished changing the variable's weight after (sec) : 1.452858
-
- first iteration: problem solved after (sec) : 1.466494
-
- subgradients found after (sec) : 1.470024
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 1.470077
-
- finished changing the variable's weight after (sec) : 1.470098
-
- first iteration: problem solved after (sec) : 1.482338
-
- subgradients found after (sec) : 1.488006
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 1.488054
-
- finished changing the variable's weight after (sec) : 1.488087
-
- first iteration: problem solved after (sec) : 1.504377
-
- subgradients found after (sec) : 1.507797
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 1.507849
-
- finished changing the variable's weight after (sec) : 1.507864
-
- first iteration: problem solved after (sec) : 1.512105
-
- subgradients found after (sec) : 1.520699
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 1.520751
-
- finished changing the variable's weight after (sec) : 1.520767
-
- first iteration: problem solved after (sec) : 1.528500
-
- subgradients found after (sec) : 1.541864
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 1.542110
-
- finished changing the variable's weight after (sec) : 1.542185
-
- first iteration: problem solved after (sec) : 1.552735
-
- subgradients found after (sec) : 1.564996
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 1.565076
-
- finished changing the variable's weight after (sec) : 1.565098
-
- first iteration: problem solved after (sec) : 1.580799
-
- subgradients found after (sec) : 1.585080
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 1.585129
-
- finished changing the variable's weight after (sec) : 1.585152
-
- first iteration: problem solved after (sec) : 1.599165
-
- subgradients found after (sec) : 1.602631
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 1.602675
-
- finished changing the variable's weight after (sec) : 1.602692
-
- first iteration: problem solved after (sec) : 1.616960
-
- subgradients found after (sec) : 1.621737
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 1.621923
-
- finished changing the variable's weight after (sec) : 1.621995
-
- first iteration: problem solved after (sec) : 1.636517
-
- subgradients found after (sec) : 1.641711
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 1.641970
-
- finished changing the variable's weight after (sec) : 1.642051
-
- first iteration: problem solved after (sec) : 1.656004
-
- subgradients found after (sec) : 1.659406
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 1.659453
-
- finished changing the variable's weight after (sec) : 1.659469
-
- first iteration: problem solved after (sec) : 1.675267
-
- subgradients found after (sec) : 1.678431
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 1.678479
-
- finished changing the variable's weight after (sec) : 1.678497
-
- first iteration: problem solved after (sec) : 1.685132
-
- subgradients found after (sec) : 1.696662
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 1.696718
-
- finished changing the variable's weight after (sec) : 1.696772
-
- first iteration: problem solved after (sec) : 1.707206
-
- subgradients found after (sec) : 1.715269
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 1.715314
-
- finished changing the variable's weight after (sec) : 1.715328
-
- first iteration: problem solved after (sec) : 1.730080
-
- subgradients found after (sec) : 1.734707
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 1.734849
-
- finished changing the variable's weight after (sec) : 1.734881
-
- first iteration: problem solved after (sec) : 1.744065
-
- subgradients found after (sec) : 1.757242
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 1.757308
-
- finished changing the variable's weight after (sec) : 1.757331
-
- first iteration: problem solved after (sec) : 1.772778
-
- subgradients found after (sec) : 1.776581
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 1.776661
-
- finished changing the variable's weight after (sec) : 1.776715
-
- first iteration: problem solved after (sec) : 1.788041
-
- subgradients found after (sec) : 1.791603
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 1.791644
-
- finished changing the variable's weight after (sec) : 1.791666
-
- first iteration: problem solved after (sec) : 1.804485
-
- subgradients found after (sec) : 1.811822
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 1.811865
-
- finished changing the variable's weight after (sec) : 1.811887
-
- first iteration: problem solved after (sec) : 1.816012
-
- subgradients found after (sec) : 1.831486
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 1.831672
-
- finished changing the variable's weight after (sec) : 1.831734
-
- first iteration: problem solved after (sec) : 1.837399
-
- subgradients found after (sec) : 1.852032
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 1.852074
-
- finished changing the variable's weight after (sec) : 1.852090
-
- first iteration: problem solved after (sec) : 1.858960
-
- subgradients found after (sec) : 1.874654
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 1.874708
-
- finished changing the variable's weight after (sec) : 1.874723
-
- first iteration: problem solved after (sec) : 1.881609
-
- subgradients found after (sec) : 1.894558
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 1.894651
-
- finished changing the variable's weight after (sec) : 1.894701
-
- first iteration: problem solved after (sec) : 1.914189
-
- subgradients found after (sec) : 1.918536
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 1.918665
-
- finished changing the variable's weight after (sec) : 1.918728
-
- first iteration: problem solved after (sec) : 1.932328
-
- subgradients found after (sec) : 1.942495
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 1.942625
-
- finished changing the variable's weight after (sec) : 1.942659
-
- first iteration: problem solved after (sec) : 1.954691
-
- subgradients found after (sec) : 1.969142
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 1.969201
-
- finished changing the variable's weight after (sec) : 1.969223
-
- first iteration: problem solved after (sec) : 1.975786
-
- subgradients found after (sec) : 1.993815
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 1.993863
-
- finished changing the variable's weight after (sec) : 1.993878
-
- first iteration: problem solved after (sec) : 2.008093
-
- subgradients found after (sec) : 2.019121
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 2.019164
-
- finished changing the variable's weight after (sec) : 2.019180
-
- first iteration: problem solved after (sec) : 2.030906
-
- subgradients found after (sec) : 2.034102
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 2.034144
-
- finished changing the variable's weight after (sec) : 2.034160
-
- first iteration: problem solved after (sec) : 2.045757
-
- subgradients found after (sec) : 2.059330
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 2.059665
-
- finished changing the variable's weight after (sec) : 2.059770
-
- first iteration: problem solved after (sec) : 2.067335
-
- subgradients found after (sec) : 2.076437
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 2.076619
-
- finished changing the variable's weight after (sec) : 2.076666
-
- first iteration: problem solved after (sec) : 2.084611
-
- subgradients found after (sec) : 2.092310
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 2.092434
-
- finished changing the variable's weight after (sec) : 2.092461
-
- first iteration: problem solved after (sec) : 2.106273
-
- subgradients found after (sec) : 2.113490
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 2.114016
-
- finished changing the variable's weight after (sec) : 2.114102
-
- first iteration: problem solved after (sec) : 2.137330
-
- subgradients found after (sec) : 2.140904
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 2.140941
-
- finished changing the variable's weight after (sec) : 2.140958
-
- first iteration: problem solved after (sec) : 2.155801
-
- subgradients found after (sec) : 2.160276
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 2.160327
-
- finished changing the variable's weight after (sec) : 2.160345
-
- first iteration: problem solved after (sec) : 2.173429
-
- subgradients found after (sec) : 2.176844
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 2.176889
-
- finished changing the variable's weight after (sec) : 2.176905
-
- first iteration: problem solved after (sec) : 2.189498
-
- subgradients found after (sec) : 2.193006
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 2.193080
-
- finished changing the variable's weight after (sec) : 2.193122
-
- first iteration: problem solved after (sec) : 2.206445
-
- subgradients found after (sec) : 2.216242
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 2.216291
-
- finished changing the variable's weight after (sec) : 2.216308
-
- first iteration: problem solved after (sec) : 2.227342
-
- subgradients found after (sec) : 2.241271
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 2.241314
-
- finished changing the variable's weight after (sec) : 2.241332
-
- first iteration: problem solved after (sec) : 2.246007
-
- subgradients found after (sec) : 2.249583
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 2.249640
-
- finished changing the variable's weight after (sec) : 2.249656
-
- first iteration: problem solved after (sec) : 2.265344
-
- subgradients found after (sec) : 2.269057
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 2.269077
-
- finished changing the variable's weight after (sec) : 2.269093
-
- first iteration: problem solved after (sec) : 2.297654
-
- subgradients found after (sec) : 2.303096
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 2.303371
-
- finished changing the variable's weight after (sec) : 2.303458
-
- first iteration: problem solved after (sec) : 2.318736
-
- subgradients found after (sec) : 2.322329
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 2.322373
-
- finished changing the variable's weight after (sec) : 2.322388
-
- first iteration: problem solved after (sec) : 2.340886
-
- subgradients found after (sec) : 2.358288
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 2.358459
-
- finished changing the variable's weight after (sec) : 2.358501
-
- first iteration: problem solved after (sec) : 2.365414
-
- subgradients found after (sec) : 2.392701
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 2.392796
-
- finished changing the variable's weight after (sec) : 2.392824
-
- first iteration: problem solved after (sec) : 2.397168
-
- subgradients found after (sec) : 2.400464
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 2.400518
-
- finished changing the variable's weight after (sec) : 2.400535
-
- first iteration: problem solved after (sec) : 2.416346
-
- subgradients found after (sec) : 2.422995
-, lowerbound = 31.000000 
-
- new dual found after (sec) : 2.423040
-
- finished changing the variable's weight after (sec) : 2.423055
-
- first iteration: problem solved after (sec) : 2.440188
-
- subgradients found after (sec) : 2.443503
-, lowerbound = 120.000000 
-
- new dual found after (sec) : 2.443540
-
- finished changing the variable's weight after (sec) : 2.443556
-
- first iteration: problem solved after (sec) : 2.458354
-
- subgradients found after (sec) : 2.464748
-, lowerbound = 31.000000 
+ subgradients found after (sec) : 0.001725
+, lowerbound = 90.000000 
 
- new dual found after (sec) : 2.464921
+ new dual found after (sec) : 0.001725
diff --git a/var.txt b/var.txt
index e69de29bb2d1d6434b8b29ae775ad8c2e48c5391..6d64ace25b52dc3b5ea4dc9e13c4ca7b996ddfb4 100644
--- a/var.txt
+++ b/var.txt
@@ -0,0 +1,12 @@
+1.000000
+34.000000
+58.333333
+64.250000
+68.900000
+72.158333
+72.450000
+72.450000
+72.450000
+73.231952
+73.231952
+73.231955