From 10896a1d417580a3043c4e605f63edbd823b591b Mon Sep 17 00:00:00 2001
From: dawi <dawit.hailu@uni-hamburg.de>
Date: Tue, 9 Nov 2021 12:30:56 +0100
Subject: [PATCH] starting to meddle with the scip setup to integrate the
 solution system

---
 AfterPreProcessing.txt                        |  122 ++
 ...angianRelaxation.linux.x86_64.gnu.opt.spx2 |  Bin 9973944 -> 9978056 bytes
 dual.txt                                      |   21 +
 lowerbounds.txt                               |   22 +
 .../O.linux.x86_64.gnu.opt/probdata_lagr.o    |  Bin 21784 -> 22312 bytes
 .../O.linux.x86_64.gnu.opt/relax_lagr.o       |  Bin 72200 -> 76416 bytes
 probdata.txt                                  |   31 +
 sol.txt                                       |  133 ++
 src/probdata_lagr.cpp                         |   28 +-
 src/relax_lagr.cpp                            | 1228 ++++++++++-------
 time.txt                                      |   67 +-
 var.txt                                       |   21 +
 12 files changed, 1130 insertions(+), 543 deletions(-)
 create mode 100644 probdata.txt

diff --git a/AfterPreProcessing.txt b/AfterPreProcessing.txt
index e69de29..bb11d39 100644
--- a/AfterPreProcessing.txt
+++ b/AfterPreProcessing.txt
@@ -0,0 +1,122 @@
+\ SCIP STATISTICS
+\   Problem name     : data/6f4s.lp_relaxscip
+\   Variables        : 54 (54 binary, 0 integer, 0 implicit integer, 0 continuous)
+\   Constraints      : 36
+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
+ slot1: +1 t_x_{1}_{0} +1 t_x_{2}_{0} <= +1
+ slot2: +1 t_x_{1}_{15} +1 t_x_{2}_{15} <= +1
+ slot3: +1 t_x_{1}_{30} +1 t_x_{2}_{30} <= +1
+ slot4: +1 t_x_{1}_{45} +1 t_x_{2}_{45} <= +1
+ slot5: +1 t_x_{1}_{60} +1 t_x_{2}_{60} <= +1
+ slot6: +1 t_x_{1}_{75} +1 t_x_{2}_{75} <= +1
+ slot7: +1 t_x_{1}_{90} +1 t_x_{2}_{90} <= +1
+ slot8: +1 t_x_{1}_{105} +1 t_x_{2}_{105} <= +1
+ 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
+ slot10: +1 t_x_{2}_{0} +1 t_x_{3}_{0} +1 t_x_{4}_{0} <= +1
+ slot11: +1 t_x_{2}_{15} +1 t_x_{3}_{15} +1 t_x_{4}_{15} <= +1
+ slot12: +1 t_x_{2}_{30} +1 t_x_{3}_{30} +1 t_x_{4}_{30} <= +1
+ slot13: +1 t_x_{2}_{45} +1 t_x_{3}_{45} +1 t_x_{4}_{45} <= +1
+ slot14: +1 t_x_{2}_{60} +1 t_x_{3}_{60} +1 t_x_{4}_{60} <= +1
+ slot15: +1 t_x_{2}_{75} +1 t_x_{3}_{75} +1 t_x_{4}_{75} <= +1
+ slot16: +1 t_x_{2}_{90} +1 t_x_{3}_{90} +1 t_x_{4}_{90} <= +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_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
+ slot19: +1 t_x_{1}_{0} +1 t_x_{3}_{0} +1 t_x_{5}_{0} <= +1
+ slot20: +1 t_x_{1}_{15} +1 t_x_{3}_{15} +1 t_x_{5}_{15} <= +1
+ slot21: +1 t_x_{1}_{30} +1 t_x_{3}_{30} +1 t_x_{5}_{30} <= +1
+ slot22: +1 t_x_{1}_{45} +1 t_x_{3}_{45} +1 t_x_{5}_{45} <= +1
+ slot23: +1 t_x_{1}_{60} +1 t_x_{3}_{60} +1 t_x_{5}_{60} <= +1
+ slot24: +1 t_x_{1}_{75} +1 t_x_{3}_{75} +1 t_x_{5}_{75} <= +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
+ 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_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
+ slot28: +1 t_x_{4}_{0} +1 t_x_{5}_{0} +1 t_x_{6}_{0} <= +1
+ slot29: +1 t_x_{4}_{15} +1 t_x_{5}_{15} +1 t_x_{6}_{15} <= +1
+ slot30: +1 t_x_{4}_{30} +1 t_x_{5}_{30} +1 t_x_{6}_{30} <= +1
+ slot31: +1 t_x_{4}_{45} +1 t_x_{5}_{45} +1 t_x_{6}_{45} <= +1
+ slot32: +1 t_x_{4}_{60} +1 t_x_{5}_{60} +1 t_x_{6}_{60} <= +1
+ slot33: +1 t_x_{4}_{75} +1 t_x_{5}_{75} +1 t_x_{6}_{75} <= +1
+ slot35: +1 t_x_{4}_{105} +1 t_x_{5}_{105} +1 t_x_{6}_{105} <= +1
+ cf1_0: -1 t_x_{2}_{60} +1 t_x_{3}_{0} +1 t_x_{3}_{15} +1 t_x_{3}_{30} +1 t_x_{3}_{45} +1 t_x_{3}_{75}
+  >= +0
+ cf1_1: -1 t_x_{1}_{15} -1 t_x_{3}_{30} -1 t_x_{4}_{15} -1 t_x_{6}_{30} >= -3
+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} <= 0
+ 0 <= t_x_{1}_{90} <= 0
+ 0 <= t_x_{1}_{105} <= 0
+ 0 <= t_x_{1}_{120} <= 0
+ 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} <= 0
+ 0 <= t_x_{2}_{105} <= 0
+ 0 <= t_x_{2}_{120} <= 0
+ 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} <= 0
+ 0 <= t_x_{3}_{105} <= 0
+ 0 <= t_x_{3}_{120} <= 0
+ 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} <= 0
+ 0 <= t_x_{4}_{105} <= 0
+ 0 <= t_x_{4}_{120} <= 0
+ 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} <= 0
+ 0 <= t_x_{5}_{105} <= 0
+ 0 <= t_x_{5}_{120} <= 0
+ 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} <= 0
+ 0 <= t_x_{6}_{105} <= 0
+ 0 <= t_x_{6}_{120} <= 0
+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 7646cf7ffeb605a22cfef039e9b54308b7470493..e5990c187b37c0da0a444cab8cf1ee388826497c 100755
GIT binary patch
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diff --git a/dual.txt b/dual.txt
index e69de29..f20efa7 100644
--- a/dual.txt
+++ b/dual.txt
@@ -0,0 +1,21 @@
+dualbound = 1.000000, lowerbound=1.000000, norm of subgrad 6.164414	 stepsize= 1.000000 
+dualbound = 21.000000, lowerbound=1.000000, norm of subgrad 6.164414	 stepsize= 1.000000 
+dualbound = 41.000000, lowerbound=1.000000, norm of subgrad 6.164414	 stepsize= 1.000000 
+dualbound = 61.000000, lowerbound=1.000000, norm of subgrad 6.164414	 stepsize= 1.000000 
+dualbound = 78.000000, lowerbound=46.000000, norm of subgrad 5.099020	 stepsize= 1.000000 
+dualbound = 83.000000, lowerbound=1.000000, norm of subgrad 6.164414	 stepsize= 1.000000 
+dualbound = 85.000000, lowerbound=75.000000, norm of subgrad 5.830952	 stepsize= 1.000000 
+dualbound = 93.000000, lowerbound=31.000000, norm of subgrad 5.099020	 stepsize= 1.000000 
+dualbound = 100.000000, lowerbound=46.000000, norm of subgrad 5.099020	 stepsize= 1.000000 
+dualbound = 105.000000, lowerbound=1.000000, norm of subgrad 6.164414	 stepsize= 1.000000 
+dualbound = 103.000000, lowerbound=75.000000, norm of subgrad 5.830952	 stepsize= 1.000000 
+dualbound = 115.000000, lowerbound=31.000000, norm of subgrad 5.099020	 stepsize= 1.000000 
+dualbound = 119.000000, lowerbound=75.000000, norm of subgrad 5.830952	 stepsize= 1.000000 
+dualbound = 117.000000, lowerbound=1.000000, norm of subgrad 6.164414	 stepsize= 1.000000 
+dualbound = 127.000000, lowerbound=75.000000, norm of subgrad 5.830952	 stepsize= 1.000000 
+dualbound = 129.000000, lowerbound=1.000000, norm of subgrad 6.164414	 stepsize= 1.000000 
+dualbound = 135.000000, lowerbound=75.000000, norm of subgrad 5.830952	 stepsize= 1.000000 
+dualbound = 139.000000, lowerbound=31.000000, norm of subgrad 5.099020	 stepsize= 1.000000 
+dualbound = 147.000000, lowerbound=31.000000, norm of subgrad 5.099020	 stepsize= 1.000000 
+dualbound = 152.000000, lowerbound=60.000000, norm of subgrad 5.099020	 stepsize= 1.000000 
+dualbound = 153.000000, lowerbound=61.000000, norm of subgrad 5.099020	 stepsize= 1.000000 
diff --git a/lowerbounds.txt b/lowerbounds.txt
index e69de29..2c00649 100644
--- a/lowerbounds.txt
+++ b/lowerbounds.txt
@@ -0,0 +1,22 @@
+1.000000
+14.000000
+27.000000
+40.000000
+50.000000
+51.000000
+49.000000
+54.000000
+58.000000
+59.000000
+53.000000
+62.000000
+63.000000
+58.000000
+65.000000
+64.000000
+67.000000
+68.000000
+73.000000
+74.000000
+72.000000
+71.000000
diff --git a/obj/static/O.linux.x86_64.gnu.opt/probdata_lagr.o b/obj/static/O.linux.x86_64.gnu.opt/probdata_lagr.o
index 7e5b979768dd2bbe7213f53767eae1accfb489a8..443feb2f2b64a4969623f001989423ee55a8691d 100644
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diff --git a/probdata.txt b/probdata.txt
new file mode 100644
index 0000000..ee9f3ea
--- /dev/null
+++ b/probdata.txt
@@ -0,0 +1,31 @@
+28 nslot conss 
+all = 76
+ 2  2  2  2  2  2  2  2  3  3  3  3  3  3  3  3  3  3  3  3  3  3  3  3  3  3  3  3 
+ 2  4  6  8  10  12  14  16  19  22  25  28  31  34  37  40  43  46  49  52  55  58  61  64  67  70  73  76 t_x_{1}_{0} t_x_{2}_{0} 
+t_x_{1}_{15} t_x_{2}_{15} 
+t_x_{1}_{30} t_x_{2}_{30} 
+t_x_{1}_{45} t_x_{2}_{45} 
+t_x_{1}_{60} t_x_{2}_{60} 
+t_x_{1}_{75} t_x_{2}_{75} 
+t_x_{1}_{90} t_x_{2}_{90} 
+t_x_{1}_{105} t_x_{2}_{105} 
+t_x_{2}_{0} t_x_{3}_{0} t_x_{4}_{0} 
+t_x_{2}_{15} t_x_{3}_{15} t_x_{4}_{15} 
+t_x_{2}_{30} t_x_{3}_{30} t_x_{4}_{30} 
+t_x_{2}_{45} t_x_{3}_{45} t_x_{4}_{45} 
+t_x_{2}_{60} t_x_{3}_{60} t_x_{4}_{60} 
+t_x_{2}_{75} t_x_{3}_{75} t_x_{4}_{75} 
+t_x_{2}_{90} t_x_{3}_{90} t_x_{4}_{90} 
+t_x_{1}_{0} t_x_{3}_{0} t_x_{5}_{0} 
+t_x_{1}_{15} t_x_{3}_{15} t_x_{5}_{15} 
+t_x_{1}_{30} t_x_{3}_{30} t_x_{5}_{30} 
+t_x_{1}_{45} t_x_{3}_{45} t_x_{5}_{45} 
+t_x_{1}_{60} t_x_{3}_{60} t_x_{5}_{60} 
+t_x_{1}_{75} t_x_{3}_{75} t_x_{5}_{75} 
+t_x_{4}_{0} t_x_{5}_{0} t_x_{6}_{0} 
+t_x_{4}_{15} t_x_{5}_{15} t_x_{6}_{15} 
+t_x_{4}_{30} t_x_{5}_{30} t_x_{6}_{30} 
+t_x_{4}_{45} t_x_{5}_{45} t_x_{6}_{45} 
+t_x_{4}_{60} t_x_{5}_{60} t_x_{6}_{60} 
+t_x_{4}_{75} t_x_{5}_{75} t_x_{6}_{75} 
+t_x_{4}_{105} t_x_{5}_{105} t_x_{6}_{105} 
diff --git a/sol.txt b/sol.txt
index e69de29..5c26815 100644
--- a/sol.txt
+++ b/sol.txt
@@ -0,0 +1,133 @@
+
+ F_6
+t_x_{6}_{0}	45	nvarincons = 1	var = t_x_{4}_{0}	var = t_x_{5}_{0}	
+(t_x_{6}_{0},45,1.000000)
+t_x_{6}_{15}	46	(t_x_{6}_{15},46,0.000000)
+t_x_{6}_{30}	47	(t_x_{6}_{30},47,0.000000)
+t_x_{6}_{45}	48	(t_x_{6}_{45},48,0.000000)
+t_x_{6}_{60}	49	(t_x_{6}_{60},49,0.000000)
+t_x_{6}_{75}	50	(t_x_{6}_{75},50,0.000000)
+t_x_{6}_{90}	51	(t_x_{6}_{90},51,0.000000)
+t_x_{6}_{105}	52	(t_x_{6}_{105},52,0.000000)
+t_x_{6}_{120}	53	(t_x_{6}_{120},53,0.000000)
+
+
+ F_4
+t_x_{4}_{0}	27	(t_x_{4}_{0},27,0.000000)
+t_x_{4}_{15}	28	nvarincons = 2	var = t_x_{2}_{15}	var = t_x_{3}_{15}	var = t_x_{5}_{15}	var = t_x_{6}_{15}	
+(t_x_{4}_{15},28,1.000000)
+t_x_{4}_{30}	29	(t_x_{4}_{30},29,0.000000)
+t_x_{4}_{45}	30	(t_x_{4}_{45},30,0.000000)
+t_x_{4}_{60}	31	(t_x_{4}_{60},31,0.000000)
+t_x_{4}_{75}	32	(t_x_{4}_{75},32,0.000000)
+t_x_{4}_{90}	33	(t_x_{4}_{90},33,0.000000)
+t_x_{4}_{105}	34	(t_x_{4}_{105},34,0.000000)
+t_x_{4}_{120}	35	(t_x_{4}_{120},35,0.000000)
+
+
+ F_5
+t_x_{5}_{0}	36	(t_x_{5}_{0},36,0.000000)
+t_x_{5}_{15}	37	(t_x_{5}_{15},37,0.000000)
+t_x_{5}_{30}	38	nvarincons = 2	var = t_x_{1}_{30}	var = t_x_{3}_{30}	var = t_x_{4}_{30}	var = t_x_{6}_{30}	
+(t_x_{5}_{30},38,1.000000)
+t_x_{5}_{45}	39	(t_x_{5}_{45},39,0.000000)
+t_x_{5}_{60}	40	(t_x_{5}_{60},40,0.000000)
+t_x_{5}_{75}	41	(t_x_{5}_{75},41,0.000000)
+t_x_{5}_{90}	42	(t_x_{5}_{90},42,0.000000)
+t_x_{5}_{105}	43	(t_x_{5}_{105},43,0.000000)
+t_x_{5}_{120}	44	(t_x_{5}_{120},44,0.000000)
+
+
+ F_3
+t_x_{3}_{0}	18	nvarincons = 2	var = t_x_{2}_{0}	var = t_x_{4}_{0}	var = t_x_{1}_{0}	var = t_x_{5}_{0}	
+(t_x_{3}_{0},18,1.000000)
+t_x_{3}_{15}	19	(t_x_{3}_{15},19,0.000000)
+t_x_{3}_{30}	20	(t_x_{3}_{30},20,0.000000)
+t_x_{3}_{45}	21	(t_x_{3}_{45},21,0.000000)
+t_x_{3}_{60}	22	(t_x_{3}_{60},22,0.000000)
+t_x_{3}_{75}	23	(t_x_{3}_{75},23,0.000000)
+t_x_{3}_{90}	24	(t_x_{3}_{90},24,0.000000)
+t_x_{3}_{105}	25	(t_x_{3}_{105},25,0.000000)
+t_x_{3}_{120}	26	(t_x_{3}_{120},26,0.000000)
+
+
+ F_1
+t_x_{1}_{0}	0	(t_x_{1}_{0},0,0.000000)
+t_x_{1}_{15}	1	nvarincons = 2	var = t_x_{2}_{15}	var = t_x_{3}_{15}	var = t_x_{5}_{15}	
+(t_x_{1}_{15},1,1.000000)
+t_x_{1}_{30}	2	(t_x_{1}_{30},2,0.000000)
+t_x_{1}_{45}	3	(t_x_{1}_{45},3,0.000000)
+t_x_{1}_{60}	4	(t_x_{1}_{60},4,0.000000)
+t_x_{1}_{75}	5	(t_x_{1}_{75},5,0.000000)
+t_x_{1}_{90}	6	(t_x_{1}_{90},6,0.000000)
+t_x_{1}_{105}	7	(t_x_{1}_{105},7,0.000000)
+t_x_{1}_{120}	8	(t_x_{1}_{120},8,0.000000)
+
+
+ F_2
+t_x_{2}_{0}	9	(t_x_{2}_{0},9,0.000000)
+t_x_{2}_{15}	10	(t_x_{2}_{15},10,0.000000)
+t_x_{2}_{30}	11	nvarincons = 2	var = t_x_{1}_{30}	var = t_x_{3}_{30}	var = t_x_{4}_{30}	
+(t_x_{2}_{30},11,1.000000)
+t_x_{2}_{45}	12	(t_x_{2}_{45},12,0.000000)
+t_x_{2}_{60}	13	(t_x_{2}_{60},13,0.000000)
+t_x_{2}_{75}	14	(t_x_{2}_{75},14,0.000000)
+t_x_{2}_{90}	15	(t_x_{2}_{90},15,0.000000)
+t_x_{2}_{105}	16	(t_x_{2}_{105},16,0.000000)
+t_x_{2}_{120}	17	(t_x_{2}_{120},17,0.000000)
+
+ (t_x_{1}_{0} 0.000000 weight 1.000000) 
+  (t_x_{1}_{15} 1.000000 weight 15.000000) 
+  (t_x_{1}_{30} 0.000000 weight 30.000000) 
+  (t_x_{1}_{45} 0.000000 weight 45.000000) 
+  (t_x_{1}_{60} 0.000000 weight 60.000000) 
+  (t_x_{1}_{75} 0.000000 weight 75.000000) 
+  (t_x_{1}_{90} 0.000000 weight 90.000000) 
+  (t_x_{1}_{105} 0.000000 weight 105.000000) 
+  (t_x_{1}_{120} 0.000000 weight 120.000000) 
+  (t_x_{2}_{0} 0.000000 weight 0.000000) 
+  (t_x_{2}_{15} 0.000000 weight 15.000000) 
+  (t_x_{2}_{30} 1.000000 weight 30.000000) 
+  (t_x_{2}_{45} 0.000000 weight 45.000000) 
+  (t_x_{2}_{60} 0.000000 weight 60.000000) 
+  (t_x_{2}_{75} 0.000000 weight 75.000000) 
+  (t_x_{2}_{90} 0.000000 weight 90.000000) 
+  (t_x_{2}_{105} 0.000000 weight 105.000000) 
+  (t_x_{2}_{120} 0.000000 weight 120.000000) 
+  (t_x_{3}_{0} 1.000000 weight 0.000000) 
+  (t_x_{3}_{15} 0.000000 weight 15.000000) 
+  (t_x_{3}_{30} 0.000000 weight 30.000000) 
+  (t_x_{3}_{45} 0.000000 weight 45.000000) 
+  (t_x_{3}_{60} 0.000000 weight 60.000000) 
+  (t_x_{3}_{75} 0.000000 weight 75.000000) 
+  (t_x_{3}_{90} 0.000000 weight 90.000000) 
+  (t_x_{3}_{105} 0.000000 weight 105.000000) 
+  (t_x_{3}_{120} 0.000000 weight 120.000000) 
+  (t_x_{4}_{0} 0.000000 weight 0.000000) 
+  (t_x_{4}_{15} 1.000000 weight 15.000000) 
+  (t_x_{4}_{30} 0.000000 weight 30.000000) 
+  (t_x_{4}_{45} 0.000000 weight 45.000000) 
+  (t_x_{4}_{60} 0.000000 weight 60.000000) 
+  (t_x_{4}_{75} 0.000000 weight 75.000000) 
+  (t_x_{4}_{90} 0.000000 weight 90.000000) 
+  (t_x_{4}_{105} 0.000000 weight 105.000000) 
+  (t_x_{4}_{120} 0.000000 weight 120.000000) 
+  (t_x_{5}_{0} 0.000000 weight 0.000000) 
+  (t_x_{5}_{15} 0.000000 weight 15.000000) 
+  (t_x_{5}_{30} 1.000000 weight 30.000000) 
+  (t_x_{5}_{45} 0.000000 weight 45.000000) 
+  (t_x_{5}_{60} 0.000000 weight 60.000000) 
+  (t_x_{5}_{75} 0.000000 weight 75.000000) 
+  (t_x_{5}_{90} 0.000000 weight 90.000000) 
+  (t_x_{5}_{105} 0.000000 weight 105.000000) 
+  (t_x_{5}_{120} 0.000000 weight 120.000000) 
+  (t_x_{6}_{0} 1.000000 weight 0.000000) 
+  (t_x_{6}_{15} 0.000000 weight 15.000000) 
+  (t_x_{6}_{30} 0.000000 weight 30.000000) 
+  (t_x_{6}_{45} 0.000000 weight 45.000000) 
+  (t_x_{6}_{60} 0.000000 weight 60.000000) 
+  (t_x_{6}_{75} 0.000000 weight 75.000000) 
+  (t_x_{6}_{90} 0.000000 weight 90.000000) 
+  (t_x_{6}_{105} 0.000000 weight 105.000000) 
+  (t_x_{6}_{120} 0.000000 weight 120.000000) 
+ 
\ No newline at end of file
diff --git a/src/probdata_lagr.cpp b/src/probdata_lagr.cpp
index 20f6666..0363583 100644
--- a/src/probdata_lagr.cpp
+++ b/src/probdata_lagr.cpp
@@ -176,6 +176,8 @@ SCIP_RETCODE SCIPcreateprobdata
     int**                   badconss
 )
 {
+   FILE* prob;
+   prob = fopen("probdata.txt","wr");
    int nconss = SCIPgetNConss(relaxscip);
    int nvars = SCIPgetNVars(relaxscip);
    int nSlotConss = 0;
@@ -189,7 +191,7 @@ SCIP_RETCODE SCIPcreateprobdata
          ++nSlotConss;  
       }
    }
-   printf("%d nslot conss",nSlotConss);
+   fprintf(prob,"%d nslot conss \n",nSlotConss);
 
    int allnconsvars=0;
    int nconsvars=0;
@@ -239,7 +241,11 @@ SCIP_RETCODE SCIPcreateprobdata
    {
       (*varbuffers)[v] =vars[v];
    }
-   printf("all = %d\n",allnconsvars);
+   // for (int v = 0; v < nvars; v++)
+   // {
+   //    fprintf(prob,"(%s %d)\t", SCIPvarGetName(vars[v]), SCIPvarGetIndex(vars[v]));
+   // }
+   fprintf(prob,"all = %d\n",allnconsvars);
    
    counter=0;
    for (int r = 0; r < nSlotConss; ++r)
@@ -254,7 +260,7 @@ SCIP_RETCODE SCIPcreateprobdata
       if (!success){
       abort(); }
       listnconsvars[r] = nconsvars;
-      printf(" %d ",listnconsvars[r]);
+      fprintf(prob," %d ",listnconsvars[r]);
       for (int j = 0; j < nconsvars; ++j)                                            /* (8) */
       {
          SCIP_VAR* varx = (*varbuffers)[j];
@@ -264,23 +270,29 @@ SCIP_RETCODE SCIPcreateprobdata
          counter++;
       }
    }
-   printf("\n");
+   
    int* increasingorder; //example {2,4,6,9,12,...}
    SCIP_CALL(SCIPallocBufferArray(relaxscip,&increasingorder,nSlotConss));
    increasingorder[0] = listnconsvars[0]; //listnconsvars[0];
    for(int r=1; r<nSlotConss;r++)
    {
       increasingorder[r]=listnconsvars[r]+increasingorder[r-1];
-      // printf(" %d ",increasingorder[r]);
+
+   }
+   fprintf(prob,"\n");
+   //printing to prob.txt
+   for(int r=0; r<nSlotConss;r++)
+   {
+      fprintf(prob," %d ",increasingorder[r]);
    }
 
    for(int r=0; r<nSlotConss;r++)
    {
       for (int p = increasingorder[r]-listnconsvars[r]; p < increasingorder[r]; p++)
       {
-         printf("%d ",listconsvarids[p]);
+         fprintf(prob,"%s ",SCIPvarGetName(vars[listconsvarids[p]]));
       }
-      printf("\n");
+      fprintf(prob,"\n");
    }
    
    // for(int s=0;s<allnconsvars;s++)
@@ -360,7 +372,7 @@ SCIP_RETCODE SCIPcreateprobdata
    // //    // printf("%d\n->",counter);
    // }
 
-
+   fclose(prob);
 
    SCIP_CALL(SCIPallocMemory(relaxscip,probdata));
    (*probdata)->nSlotConss = nSlotConss;
diff --git a/src/relax_lagr.cpp b/src/relax_lagr.cpp
index 3cccb7a..b556e0a 100644
--- a/src/relax_lagr.cpp
+++ b/src/relax_lagr.cpp
@@ -42,8 +42,8 @@
 
 
 #define RELAX_NAME             "lagr"
-#define RELAX_DESC             "relaxator template"
-#define RELAX_PRIORITY         0
+#define RELAX_DESC             "relaxator"
+#define RELAX_PRIORITY         100000
 #define RELAX_FREQ             0
 
 
@@ -115,320 +115,320 @@ static
 SCIP_DECL_RELAXINIT(relaxInitlagr)
 {  /*lint --e{715}*/
    
-   SCIP* relaxscip;
-   SCIP_HASHMAP* varmap;
-   SCIP_HASHMAP* consmap;
-   SCIP_CONS** conss;
-   SCIP_PROBDATA* probdata;
-   SCIP_VARDATA* vardata;
-
-   SCIP_Real relaxval;
-   SCIP_Bool valid;
-   int nconss;
-   int i;
-   int counter;
-   int id;
-
-
-   // *lowerbound = -SCIPinfinity(scip);
-   // *result = SCIP_DIDNOTRUN;
-
-   /* we can only run if none of the present constraints expect their variables to be binary or integer during transformation */
-   conss = SCIPgetConss(scip);
-   nconss = SCIPgetNConss(scip);
-
-   /* create the variable mapping hash map */
-   SCIP_CALL( SCIPcreate(&relaxscip) );
-   SCIP_CALL( SCIPhashmapCreate(&varmap, SCIPblkmem(relaxscip), SCIPgetNVars(scip)) );
-   valid = FALSE;
-   SCIP_CALL( SCIPcopy(scip, relaxscip, varmap, consmap, "relaxscip", FALSE, FALSE, FALSE, FALSE, &valid) );
+   // SCIP* relaxscip;
+   // SCIP_HASHMAP* varmap;
+   // SCIP_HASHMAP* consmap;
+   // SCIP_CONS** conss;
+   // SCIP_PROBDATA* probdata;
+   // SCIP_VARDATA* vardata;
+
+   // SCIP_Real relaxval;
+   // SCIP_Bool valid;
+   // int nconss;
+   // int i;
+   // int counter;
+   // int id;
+
+
+   // // *lowerbound = -SCIPinfinity(scip);
+   // // *result = SCIP_DIDNOTRUN;
+
+   // /* we can only run if none of the present constraints expect their variables to be binary or integer during transformation */
+   // conss = SCIPgetConss(scip);
+   // nconss = SCIPgetNConss(scip);
+
+   // /* create the variable mapping hash map */
+   // SCIP_CALL( SCIPcreate(&relaxscip) );
+   // SCIP_CALL( SCIPhashmapCreate(&varmap, SCIPblkmem(relaxscip), SCIPgetNVars(scip)) );
+   // valid = FALSE;
+   // SCIP_CALL( SCIPcopy(scip, relaxscip, varmap, consmap, "relaxscip", FALSE, FALSE, FALSE, FALSE, &valid) );
  
-   /**************************************************************************************************************/
-   /*First,                                                                                                      */
-   //*the probdata: where we get to identify the bad constraint we want to formulate(in our case, the slot conss) */
-   /***************************************************************************************************************/
-   int nvars = SCIPgetNVars(relaxscip);
-   SCIP_VAR** vars = SCIPgetVars(relaxscip);
-   SCIP_VAR** varbuffers;
-   int* badconss;
+   // /**************************************************************************************************************/
+   // /*First,                                                                                                      */
+   // //*the probdata: where we get to identify the bad constraint we want to formulate(in our case, the slot conss) */
+   // /***************************************************************************************************************/
+   // int nvars = SCIPgetNVars(relaxscip);
+   // SCIP_VAR** vars = SCIPgetVars(relaxscip);
+   // SCIP_VAR** varbuffers;
+   // int* badconss;
 
-   SCIPcreateprobdata(relaxscip,&probdata,SCIPgetConss(relaxscip),vars,&varbuffers,&badconss);     /*will be used to identify the # of slot(bad) constraints*/ 
-   int nSlotConss = SCIPgetNSlotConss(probdata);         //number of bad(slot) constraint
-   int allnconsvars = SCIPgetallnconsvars(probdata);    //sum of all nconsvars, used for creating later on an array to collect the list of varids in each row
-   int* listnconsvars = SCIPlistnconsvars(probdata);
-   int* listconsvarids = SCIPlistconsvarids(probdata);
-   int* increasingorder = SCIPlistincreasing(probdata);
+   // SCIPcreateprobdata(relaxscip,&probdata,SCIPgetConss(relaxscip),vars,&varbuffers,&badconss);     /*will be used to identify the # of slot(bad) constraints*/ 
+   // int nSlotConss = SCIPgetNSlotConss(probdata);         //number of bad(slot) constraint
+   // int allnconsvars = SCIPgetallnconsvars(probdata);    //sum of all nconsvars, used for creating later on an array to collect the list of varids in each row
+   // int* listnconsvars = SCIPlistnconsvars(probdata);
+   // int* listconsvarids = SCIPlistconsvarids(probdata);
+   // int* increasingorder = SCIPlistincreasing(probdata);
 
 
-   /* we then create the vardata function for each variable, to see at which constraint the variable is found*/
-   FILE* TimeCollector;
-   TimeCollector = fopen("time.txt","w");
-   SCIP_CLOCK* varslottime;                 //to help us record the time
-   SCIP_CALL( SCIPcreateClock(relaxscip, &varslottime) );                     //* start time counting*  
-   SCIP_CALL(SCIPstartClock(relaxscip,varslottime)); 
+   // /* we then create the vardata function for each variable, to see at which constraint the variable is found*/
+   // FILE* TimeCollector;
+   // TimeCollector = fopen("time.txt","w");
+   // SCIP_CLOCK* varslottime;                 //to help us record the time
+   // SCIP_CALL( SCIPcreateClock(relaxscip, &varslottime) );                     //* start time counting*  
+   // SCIP_CALL(SCIPstartClock(relaxscip,varslottime)); 
 
-   SCIP_CLOCK* totaliteration;                 //to help us record the time
-   SCIP_CALL( SCIPcreateClock(relaxscip, &totaliteration) );                     //* start time counting*  
+   // SCIP_CLOCK* totaliteration;                 //to help us record the time
+   // SCIP_CALL( SCIPcreateClock(relaxscip, &totaliteration) );                     //* start time counting*  
 
 
 
-   int* consids;
+   // int* consids;
 
-   SCIP_Real* weights;
-   SCIP_CALL(SCIPallocBufferArray(relaxscip,&weights,nvars));   
+   // SCIP_Real* weights;
+   // SCIP_CALL(SCIPallocBufferArray(relaxscip,&weights,nvars));   
 
-   SCIP_CALL(SCIPallocBufferArray(relaxscip,&consids,nSlotConss));
+   // SCIP_CALL(SCIPallocBufferArray(relaxscip,&consids,nSlotConss));
 
-   SCIP_Real maxobj=0;
-   for (int v = 0; v < nvars; v++)
-   {
-      SCIP_VAR* var = vars[v];
-      weights[v]=SCIPvarGetObj(var);
-      if(maxobj<weights[v]){maxobj=weights[v];}
-   }
+   // SCIP_Real maxobj=0;
+   // for (int v = 0; v < nvars; v++)
+   // {
+   //    SCIP_VAR* var = vars[v];
+   //    weights[v]=SCIPvarGetObj(var);
+   //    if(maxobj<weights[v]){maxobj=weights[v];}
+   // }
    
-   for (int v = 0; v < nvars; v++)
-   { 
-      int* varids;
-      int NVarInBadConss=0;
-      int nconsvars = 0;
-      SCIP_VAR* var = vars[v];
+   // for (int v = 0; v < nvars; v++)
+   // { 
+   //    int* varids;
+   //    int NVarInBadConss=0;
+   //    int nconsvars = 0;
+   //    SCIP_VAR* var = vars[v];
 
-      int varindex = SCIPvarGetIndex(var);                                    /* (2) */
-      assert(varindex!= NULL);
+   //    int varindex = SCIPvarGetIndex(var);                                    /* (2) */
+   //    assert(varindex!= NULL);
 
-      for (int r = 0; r < nSlotConss; ++r)
-      {
-         id = badconss[r];
-         SCIP_CONS* cons = SCIPgetConss(relaxscip)[id];
-         // printf("%s \t",SCIPconsGetName(cons));
-         SCIP_CALL(SCIPgetConsNVars(relaxscip, cons, &nconsvars, &valid)); 
-         SCIP_CALL(SCIPgetConsVars(relaxscip, cons, varbuffers, nconsvars, &valid));
-         if (!valid){abort(); }
+   //    for (int r = 0; r < nSlotConss; ++r)
+   //    {
+   //       id = badconss[r];
+   //       SCIP_CONS* cons = SCIPgetConss(relaxscip)[id];
+   //       // printf("%s \t",SCIPconsGetName(cons));
+   //       SCIP_CALL(SCIPgetConsNVars(relaxscip, cons, &nconsvars, &valid)); 
+   //       SCIP_CALL(SCIPgetConsVars(relaxscip, cons, varbuffers, nconsvars, &valid));
+   //       if (!valid){abort(); }
 
-         for (int j = 0; j < nconsvars; ++j)                                            /* (8) */
-         {
-            SCIP_VAR* varx = varbuffers[j];
-            int varbufindex = SCIPvarGetIndex(varx);
-            assert(varbufindex != NULL);
-            // printf("%s\t \t%d",SCIPvarGetName(varx),varbufindex);
+   //       for (int j = 0; j < nconsvars; ++j)                                            /* (8) */
+   //       {
+   //          SCIP_VAR* varx = varbuffers[j];
+   //          int varbufindex = SCIPvarGetIndex(varx);
+   //          assert(varbufindex != NULL);
+   //          // printf("%s\t \t%d",SCIPvarGetName(varx),varbufindex);
             
             
-            /** if var[i] is in cons[c], write conspointer in VarConss and increase nVarConsscounter */
-            if (varindex == varbufindex)                                           /* (9) */
-            {
+   //          /** if var[i] is in cons[c], write conspointer in VarConss and increase nVarConsscounter */
+   //          if (varindex == varbufindex)                                           /* (9) */
+   //          {
                
-               // VarSlotConss[NVarInBadConss] = cons;
-               consids[NVarInBadConss]=id;
-               NVarInBadConss++;
-               // printf(" %s \t,",SCIPconsGetName(cons));
-            }
-         }
-      }
+   //             // VarSlotConss[NVarInBadConss] = cons;
+   //             consids[NVarInBadConss]=id;
+   //             NVarInBadConss++;
+   //             // printf(" %s \t,",SCIPconsGetName(cons));
+   //          }
+   //       }
+   //    }
 
-      SCIP_CALL(SCIPallocBufferArray(relaxscip, &varids, NVarInBadConss));
-      for(int t=0;t<NVarInBadConss;t++)
-      {
-         varids[t]=consids[t];
-         // printf("%d \t",varids[t]);
-      }
-      // printf("\n");
-   //    // vardata=SCIPvarGetData(var);
-      SCIP_CALL(SCIPallocBlockMemory(scip , &vardata));     
-      SCIP_CALL(SCIPduplicateBlockMemoryArray(scip, &(vardata->varids), varids, NVarInBadConss));
-      vardata->NVarInBadConss = NVarInBadConss;  /**copy nVarConss to VarData */
-      vardata->varids = varids;
-      // /**set the variable data to the variable*/
-      SCIPvarSetData(var,vardata);  
-   }
+   //    SCIP_CALL(SCIPallocBufferArray(relaxscip, &varids, NVarInBadConss));
+   //    for(int t=0;t<NVarInBadConss;t++)
+   //    {
+   //       varids[t]=consids[t];
+   //       // printf("%d \t",varids[t]);
+   //    }
+   //    // printf("\n");
+   // //    // vardata=SCIPvarGetData(var);
+   //    SCIP_CALL(SCIPallocBlockMemory(scip , &vardata));     
+   //    SCIP_CALL(SCIPduplicateBlockMemoryArray(scip, &(vardata->varids), varids, NVarInBadConss));
+   //    vardata->NVarInBadConss = NVarInBadConss;  /**copy nVarConss to VarData */
+   //    vardata->varids = varids;
+   //    // /**set the variable data to the variable*/
+   //    SCIPvarSetData(var,vardata);  
+   // }
 
-   SCIP_CALL(SCIPstopClock(relaxscip,varslottime));
+   // SCIP_CALL(SCIPstopClock(relaxscip,varslottime));
    
 
-   FILE* AfterPreProcessing;
-   AfterPreProcessing = fopen("AfterPreProcessing.txt","w+");
+   // FILE* AfterPreProcessing;
+   // AfterPreProcessing = fopen("AfterPreProcessing.txt","w+");
 
-   // SCIP_CALL(SCIPprintOrigProblem(relaxscip, AfterPreProcessing, "lp", FALSE));
+   // // SCIP_CALL(SCIPprintOrigProblem(relaxscip, AfterPreProcessing, "lp", FALSE));
 
-   SCIPinfoMessage(relaxscip, TimeCollector, "\n row and column identified in (sec) : %f\n", SCIPgetClockTime(relaxscip, varslottime));
-   for(int r=0;r<nSlotConss;r++)
-   {
-      id = badconss[r];
-      SCIP_CONS* cons = SCIPgetConss(relaxscip)[id];
-      SCIP_CALL(SCIPdelCons(relaxscip,cons));
-   }
+   // SCIPinfoMessage(relaxscip, TimeCollector, "\n row and column identified in (sec) : %f\n", SCIPgetClockTime(relaxscip, varslottime));
+   // for(int r=0;r<nSlotConss;r++)
+   // {
+   //    id = badconss[r];
+   //    SCIP_CONS* cons = SCIPgetConss(relaxscip)[id];
+   //    SCIP_CALL(SCIPdelCons(relaxscip,cons));
+   // }
 
-   /******************************************************************************************************************/
-   /*Next, we will do the initial iteration of finding the dual mulpliers of each slot conss, and their sum(dualsum) */
-   /* In the end, we will subtract this sum from the objective of the function.                                      */
-   /* It's initial, because while we would search for more dual multipliers to solve the Lagrangian relaxation       */
-   /******************************************************************************************************************/
-   SCIP_Real* dualmultipliers;
-   SCIP_CALL(SCIPallocBufferArray(relaxscip,&dualmultipliers,nSlotConss));
+   // /******************************************************************************************************************/
+   // /*Next, we will do the initial iteration of finding the dual mulpliers of each slot conss, and their sum(dualsum) */
+   // /* In the end, we will subtract this sum from the objective of the function.                                      */
+   // /* It's initial, because while we would search for more dual multipliers to solve the Lagrangian relaxation       */
+   // /******************************************************************************************************************/
+   // SCIP_Real* dualmultipliers;
+   // SCIP_CALL(SCIPallocBufferArray(relaxscip,&dualmultipliers,nSlotConss));
    
-   SCIP_Real* subgradients;
-   SCIP_CALL(SCIPallocBufferArray(relaxscip,&subgradients,nSlotConss));
-   //initialize subgradients;
-   SCIP_Real stepsize = 15;
-   SCIP_Real sumofduals=0;
-   for ( int r = 0; r < nSlotConss; ++r)
-   {
-      dualmultipliers[r] = 0;
-      sumofduals+=dualmultipliers[r];                    //adds the negative of the minimum in each iteration
-   }
+   // SCIP_Real* subgradients;
+   // SCIP_CALL(SCIPallocBufferArray(relaxscip,&subgradients,nSlotConss));
+   // //initialize subgradients;
+   // SCIP_Real stepsize = 15;
+   // SCIP_Real sumofduals=0;
+   // for ( int r = 0; r < nSlotConss; ++r)
+   // {
+   //    dualmultipliers[r] = 0;
+   //    sumofduals+=dualmultipliers[r];                    //adds the negative of the minimum in each iteration
+   // }
 
 
 
-   // /*******************************************************************************************************/
-   // /* The reformulation of the problem can be written as follows                                          */
-   // //*>>>>>>>>>>>>>>>>>> min sum { (w[i]+sum{dual[j]})}x[i]-sum{dual[r]} <<<<<<<<<<<<                     */
-   // /*where i is nvars, j is NVarInBadConss, and r is nSlotConss for our case *******************************/
-   // /****************************************************************************************************************/
-   // /* The following function will add the following to the obj(weight) of the variable,                            */
-   // //*  the obj(weight) of var + the sum of the dualmultipliers of bad constraints which contains this variable    */
-   // /****************************************************************************************************************/
+   // // /*******************************************************************************************************/
+   // // /* The reformulation of the problem can be written as follows                                          */
+   // // //*>>>>>>>>>>>>>>>>>> min sum { (w[i]+sum{dual[j]})}x[i]-sum{dual[r]} <<<<<<<<<<<<                     */
+   // // /*where i is nvars, j is NVarInBadConss, and r is nSlotConss for our case *******************************/
+   // // /****************************************************************************************************************/
+   // // /* The following function will add the following to the obj(weight) of the variable,                            */
+   // // //*  the obj(weight) of var + the sum of the dualmultipliers of bad constraints which contains this variable    */
+   // // /****************************************************************************************************************/
    
  
-   FILE* solutions;
-   solutions = fopen("sol.txt","wr");
-   FILE* dual;
-   dual= fopen("dual.txt","wr");
-   FILE* variableinfo; 
-   variableinfo = fopen("var.txt","wr");
-   FILE* subgrad;
-   subgrad = fopen("subgrads.txt","wr");
-   FILE* varobjects;
-   varobjects=fopen("varobjs.txt","wr");
-   FILE* lower;
-   lower=fopen("lowerbounds.txt","wr");
-   FILE* iter;
-   iter=fopen("iter.txt","wr");
-
+   // FILE* solutions;
+   // solutions = fopen("sol.txt","wr");
+   // FILE* dual;
+   // dual= fopen("dual.txt","wr");
+   // FILE* variableinfo; 
+   // variableinfo = fopen("var.txt","wr");
+   // FILE* subgrad;
+   // subgrad = fopen("subgrads.txt","wr");
+   // FILE* varobjects;
+   // varobjects=fopen("varobjs.txt","wr");
+   // FILE* lower;
+   // lower=fopen("lowerbounds.txt","wr");
+   // FILE* iter;
+   // 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=1500;
+   // //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 oscilatecounter=0;
-   int improvementcounter = 0;
-   SCIP_Real oscilator1=0;
-   SCIP_Real oscilator2=0;
-   SCIP_Real forcompare = -1000000000000000000;
-   SCIP_CALL(SCIPstartClock(relaxscip,totaliteration)); 
+   // int maxiter=1500;
 
-   int* feasol;
-   SCIP_CALL(SCIPallocBufferArray(relaxscip,&feasol,nvars));               //will containt a feasible solution for our problem.
-   for(int v=0;v<nvars;v++)
-   {
-      feasol[v]=-1;  //we assign initial values equal to -1, signifying that the variable's value hasn't been decided yet.
-   }
+   // int oscilatecounter=0;
+   // int improvementcounter = 0;
+   // SCIP_Real oscilator1=0;
+   // SCIP_Real oscilator2=0;
+   // SCIP_Real forcompare = -1000000000000000000;
+   // SCIP_CALL(SCIPstartClock(relaxscip,totaliteration)); 
 
+   // SCIP_Real* feasol;
+   // SCIP_CALL(SCIPallocBufferArray(relaxscip,&feasol,nvars));               //will containt a feasible solution for our problem.
    // for(int v=0;v<nvars;v++)
    // {
-      // printf(" %d ",feasol[v]);
-
+   //    feasol[v]=-1;  //we assign initial values equal to -1, signifying that the variable's value hasn't been decided yet.
    // }
 
+   // // for(int v=0;v<nvars;v++)
+   // // {
+   //    // printf(" %d ",feasol[v]);
+
+   // // }
+
    
 
-   int* nvarsingoodconss;
-   SCIP_CALL(SCIPallocBufferArray(relaxscip,&nvarsingoodconss,SCIPgetNConss(relaxscip)));      //will contain {9,9,9,9,9,9} for the 6f4s problem.
+   // int* nvarsingoodconss;
+   // SCIP_CALL(SCIPallocBufferArray(relaxscip,&nvarsingoodconss,SCIPgetNConss(relaxscip)));      //will contain {9,9,9,9,9,9} for the 6f4s problem.
 
-   int maxnvarsingoodconss = 0; //max number of variables found in a start constraint
-   int nconsvars = 0;            //number of vars in a startconss.
+   // int maxnvarsingoodconss = 0; //max number of variables found in a start constraint
+   // int nconsvars = 0;            //number of vars in a startconss.
 
-   for(int r = 0; r<SCIPgetNConss(relaxscip);r++)
-   {
-      SCIP_CONS* cons = SCIPgetConss(relaxscip)[r];    
-      SCIP_CALL(SCIPgetConsNVars(relaxscip, cons, &nconsvars, &valid)); 
-      if(nconsvars>maxnvarsingoodconss){maxnvarsingoodconss=nconsvars;}
-      nvarsingoodconss[r]=nconsvars;
-   }
+   // for(int r = 0; r<SCIPgetNConss(relaxscip);r++)
+   // {
+   //    SCIP_CONS* cons = SCIPgetConss(relaxscip)[r];    
+   //    SCIP_CALL(SCIPgetConsNVars(relaxscip, cons, &nconsvars, &valid)); 
+   //    if(nconsvars>maxnvarsingoodconss){maxnvarsingoodconss=nconsvars;}
+   //    nvarsingoodconss[r]=nconsvars;
+   // }
 
-   printf("%d \n",maxnvarsingoodconss);
+   // // printf("%d \n",maxnvarsingoodconss);
    
-   SCIP_VAR** VARSinsidegoodconss;             //will contain the variable in a start constraint
-   SCIP_CALL(SCIPallocBufferArray(relaxscip, &VARSinsidegoodconss, maxnvarsingoodconss));          //the size is the max num a start constraint can hold. We do this not to allocate memory over and over again. 
+   // SCIP_VAR** VARSinsidegoodconss;             //will contain the variable in a start constraint
+   // SCIP_CALL(SCIPallocBufferArray(relaxscip, &VARSinsidegoodconss, maxnvarsingoodconss));          //the size is the max num a start constraint can hold. We do this not to allocate memory over and over again. 
 
-   for(int r = 0; r<SCIPgetNConss(relaxscip);r++)
-   {
-      SCIP_CONS* cons = SCIPgetConss(relaxscip)[r];    
-      SCIP_CALL(SCIPgetConsNVars(relaxscip, cons, &nconsvars, &valid));
-      SCIP_CALL(SCIPgetConsVars(relaxscip, cons, VARSinsidegoodconss, nconsvars, &valid));
-      if (!valid){abort(); }
-      printf("\n %s\n",SCIPconsGetName(cons));
-      for (int j = 0; j < nconsvars; ++j)                                            /* (8) */
-      {
-         SCIP_VAR* varx = (VARSinsidegoodconss)[j];
-         printf("%s\t",SCIPvarGetName(varx));
-         int varbufindex = SCIPvarGetIndex(varx);  //get the index, which will be used in assigning values to the feassol.
-         assert(varbufindex != NULL);
-         // printf("%d\t",varbufindex);
+   // for(int r = 0; r<SCIPgetNConss(relaxscip);r++)
+   // {
+   //    SCIP_CONS* cons = SCIPgetConss(relaxscip)[r];    
+   //    SCIP_CALL(SCIPgetConsNVars(relaxscip, cons, &nconsvars, &valid));
+   //    SCIP_CALL(SCIPgetConsVars(relaxscip, cons, VARSinsidegoodconss, nconsvars, &valid));
+   //    if (!valid){abort(); }
+   //    // printf("\n %s\n",SCIPconsGetName(cons));
+   //    for (int j = 0; j < nconsvars; ++j)                                            /* (8) */
+   //    {
+   //       SCIP_VAR* varx = (VARSinsidegoodconss)[j];
+   //       // printf("%s\t",SCIPvarGetName(varx));
+   //       int varbufindex = SCIPvarGetIndex(varx);  //get the index, which will be used in assigning values to the feassol.
+   //       assert(varbufindex != NULL);
+   //       // printf("%d\t",varbufindex);
 
          
 
-         if (feasol[varbufindex]==-1)
-         {
-            feasol[varbufindex]=1;
-            for(int s=j+1; s<nconsvars;++s)
-            {
-               SCIP_VAR* varnext = (VARSinsidegoodconss)[s];
-               int varnextindex = SCIPvarGetIndex(varnext);
-               feasol[varnextindex]=0;
-            }
+   //       if (feasol[varbufindex]==-1)
+   //       {
+   //          feasol[varbufindex]=1;
+   //          for(int s=j+1; s<nconsvars;++s)
+   //          {
+   //             SCIP_VAR* varnext = (VARSinsidegoodconss)[s];
+   //             int varnextindex = SCIPvarGetIndex(varnext);
+   //             feasol[varnextindex]=0;
+   //          }
 
-            vardata=SCIPvarGetData(varx);
-            int* varids = SCIPvardataGetvarids(vardata); 
-            assert(varids=!NULL);
-            int NVarInBadConss = SCIPvardataGetNVarInBadConss(vardata);
-            printf("nvarincons = %d\t",NVarInBadConss);
+   //          vardata=SCIPvarGetData(varx);
+   //          int* varids = SCIPvardataGetvarids(vardata); 
+   //          assert(varids=!NULL);
+   //          int NVarInBadConss = SCIPvardataGetNVarInBadConss(vardata);
+   //          // printf("nvarincons = %d\t",NVarInBadConss);
             
-            for(int t=0;t<NVarInBadConss;t++)
-            {
-               printf("%d \t",varids[t]);
-               // varids[t] gives the constraint address. There we still would like to find out which variables are found.
-               for(int p=increasingorder[varids[t]]-listnconsvars[varids[t]]; p<increasingorder[varids[t]]; ++p)
-               {
-
-                  if(SCIPvarGetIndex(vars[listconsvarids[p]])!=varbufindex)
-                  {
-                     printf("var = %s\t",SCIPvarGetName(vars[listconsvarids[p]]));
-                     if(feasol[listconsvarids[p]]==-1)
-                     {
-                        feasol[listconsvarids[p]]=0;
-                     }
-                  }
-               }
-            }
-         //    printf("\n");
-         }
+   //          for(int t=0;t<NVarInBadConss;t++)
+   //          {
+   //             // printf("%d \t",varids[t]);
+   //             // varids[t] gives the constraint address. There we still would like to find out which variables are found.
+   //             for(int p=increasingorder[varids[t]]-listnconsvars[varids[t]]; p<increasingorder[varids[t]]; ++p)
+   //             {
+
+   //                if(SCIPvarGetIndex(vars[listconsvarids[p]])!=varbufindex)
+   //                {
+   //                   // printf("var = %s\t",SCIPvarGetName(vars[listconsvarids[p]]));
+   //                   if(feasol[listconsvarids[p]]==-1)
+   //                   {
+   //                      feasol[listconsvarids[p]]=0;
+   //                   }
+   //                }
+   //             }
+   //          }
+   //       //    printf("\n");
+   //       }
 
                
-         printf("(%s,%d,%d)\n",SCIPvarGetName(varx), varbufindex,feasol[varbufindex]);
+   //       // printf("(%s,%d,%d)\n",SCIPvarGetName(varx), varbufindex,feasol[varbufindex]);
 
 
          
 
-      }
-      // printf("\n");
-   }
+   //    }
+   //    // printf("\n");
+   // }
 
    
-   SCIP_Real upperbound=0;
-   for(int v=0;v<nvars;v++)
-   {
-      printf(" (%s %d weight %f) \n ", SCIPvarGetName(vars[v]),feasol[v], weights[v]);
-      upperbound+=(feasol[v]*SCIPvarGetObj(vars[v]));
-
-   }
-   printf("upper bound  = %f", upperbound);
-
-
+   // SCIP_Real upperbound=0;
+   // for(int v=0;v<nvars;v++)
+   // {
+   //    fprintf(solutions," (%s %f weight %f) \n ", SCIPvarGetName(vars[v]),feasol[v], weights[v]);
+   //    upperbound+=(feasol[v]*SCIPvarGetObj(vars[v]));
+   //    SCIP_CALL( SCIPsetRelaxSolVal(scip, relax, SCIPgetVars(scip)[i], feasol[v]) );
+   // }
+   // printf("upper bound  = %f\n", upperbound);
+   // SCIP_CALL( SCIPmarkRelaxSolValid(scip, relax, TRUE) );
 
+   
 
 
 
@@ -615,18 +615,18 @@ SCIP_DECL_RELAXINIT(relaxInitlagr)
    //    SCIPinfoMessage(relaxscip, TimeCollector, "%f\n", SCIPgetClockTime(relaxscip, totaliteration));
    //    // if(checker==0){printf("solution found in %d iterations\n",iter); break;}
    // }
-   SCIPfreeTransform(relaxscip);
-   fclose(variableinfo);
-   fclose(dual);
-   fclose(subgrad);
-   fclose(varobjects);
-   fclose(solutions);
-   fclose(lower);
+   // SCIPfreeTransform(relaxscip);
+   // fclose(variableinfo);
+   // fclose(dual);
+   // fclose(subgrad);
+   // fclose(varobjects);
+   // fclose(solutions);
+   // fclose(lower);
 
 
-   /* free memory */
-   SCIPhashmapFree(&varmap);
-   SCIP_CALL( SCIPfree(&relaxscip) );
+   // /* free memory */
+   // SCIPhashmapFree(&varmap);
+   // SCIP_CALL( SCIPfree(&relaxscip) );
 
    
 
@@ -692,7 +692,7 @@ SCIP_DECL_RELAXEXEC(relaxExeclagr)
    SCIP_CONS** conss;
    SCIP_PROBDATA* probdata;
    SCIP_VARDATA* vardata;
-
+   SCIP_RELAXDATA* relaxdata;
    SCIP_Real relaxval;
    SCIP_Bool valid;
    int nconss;
@@ -701,8 +701,8 @@ SCIP_DECL_RELAXEXEC(relaxExeclagr)
    int id;
 
 
-   *lowerbound = -SCIPinfinity(scip);
-   *result = SCIP_DIDNOTRUN;
+   // *lowerbound = -SCIPinfinity(scip);
+   // *result = SCIP_DIDNOTRUN;
 
    /* we can only run if none of the present constraints expect their variables to be binary or integer during transformation */
    conss = SCIPgetConss(scip);
@@ -713,134 +713,156 @@ SCIP_DECL_RELAXEXEC(relaxExeclagr)
    SCIP_CALL( SCIPhashmapCreate(&varmap, SCIPblkmem(relaxscip), SCIPgetNVars(scip)) );
    valid = FALSE;
    SCIP_CALL( SCIPcopy(scip, relaxscip, varmap, consmap, "relaxscip", FALSE, FALSE, FALSE, FALSE, &valid) );
-   
-   // /**************************************************************************************************************/
-   // /*First,                                                                                                      */
-   // //*the probdata: where we get to identify the bad constraint we want to formulate(in our case, the slot conss) */
-   // /***************************************************************************************************************/
-   // int nvars = SCIPgetNVars(relaxscip);
-   // SCIP_VAR** vars = SCIPgetVars(relaxscip);
-   // SCIP_VAR** varbuffers;
-   // int* badconss;
-   
-   // SCIPcreateprobdata(relaxscip,&probdata,SCIPgetConss(relaxscip),vars,&varbuffers,&badconss);     /*will be used to identify the # of slot(bad) constraints*/ 
-   // int nSlotConss = SCIPgetNSlotConss(probdata);         //number of bad(slot) constraint
-   // int allnconsvars = SCIPgetallnconsvars(probdata);    //sum of all nconsvars, used for creating later on an array to collect the list of varids in each row
-   // int* listnconsvars = SCIPlistnconsvars(probdata);
-   // int* listconsvarids = SCIPlistconsvarids(probdata);
+ 
+   /**************************************************************************************************************/
+   /*First,                                                                                                      */
+   //*the probdata: where we get to identify the bad constraint we want to formulate(in our case, the slot conss) */
+   /***************************************************************************************************************/
+   int nvars = SCIPgetNVars(relaxscip);
+   SCIP_VAR** vars = SCIPgetVars(relaxscip);
+   SCIP_VAR** varbuffers;
+   int* badconss;
 
-   // /* we then create the vardata function for each variable, to see at which constraint the variable is found*/
-   // FILE* TimeCollector;
-   // TimeCollector = fopen("time.txt","w");
-   // SCIP_CLOCK* varslottime;                 //to help us record the time
-   // SCIP_CALL( SCIPcreateClock(relaxscip, &varslottime) );                     //* start time counting*  
-   // SCIP_CALL(SCIPstartClock(relaxscip,varslottime)); 
+   SCIPcreateprobdata(relaxscip,&probdata,SCIPgetConss(relaxscip),vars,&varbuffers,&badconss);     /*will be used to identify the # of slot(bad) constraints*/ 
+   int nSlotConss = SCIPgetNSlotConss(probdata);         //number of bad(slot) constraint
+   int allnconsvars = SCIPgetallnconsvars(probdata);    //sum of all nconsvars, used for creating later on an array to collect the list of varids in each row
+   int* listnconsvars = SCIPlistnconsvars(probdata);
+   int* listconsvarids = SCIPlistconsvarids(probdata);
+   int* increasingorder = SCIPlistincreasing(probdata);
 
-   // // int nconsvars=0;
-   // int* consids;
 
-   // SCIP_Real* weights;
-   // SCIP_CALL(SCIPallocBufferArray(relaxscip,&weights,nvars));   
+   /* we then create the vardata function for each variable, to see at which constraint the variable is found*/
+   FILE* TimeCollector;
+   TimeCollector = fopen("time.txt","w");
+   FILE* solutions;
+   solutions = fopen("sol.txt","wr");
+   FILE* dual;
+   dual= fopen("dual.txt","wr");
+   FILE* variableinfo; 
+   variableinfo = fopen("var.txt","wr");
+   FILE* subgrad;
+   subgrad = fopen("subgrads.txt","wr");
+   FILE* varobjects;
+   varobjects=fopen("varobjs.txt","wr");
+   FILE* lower;
+   lower=fopen("lowerbounds.txt","wr");
+   FILE* iter;
+   iter=fopen("iter.txt","wr");
 
-   // SCIP_CALL(SCIPallocBufferArray(relaxscip,&consids,nSlotConss));
 
-   // for (int v = 0; v < nvars; v++)
-   // {
-   //    SCIP_VAR* var = vars[v];
-   //    weights[v]=SCIPvarGetObj(var);
-   // }
+   SCIP_CLOCK* varslottime;                 //to help us record the time
+   SCIP_CALL( SCIPcreateClock(relaxscip, &varslottime) );                     //* start time counting*  
+   SCIP_CALL(SCIPstartClock(relaxscip,varslottime)); 
 
-   // for (int v = 0; v < nvars; v++)
-   // { 
-   //    int* varids;
-   //    int NVarInBadConss=0;
-   //    int nconsvars = 0;
-   //    SCIP_VAR* var = vars[v];
+   SCIP_CLOCK* totaliteration;                 //to help us record the time
+   SCIP_CALL( SCIPcreateClock(relaxscip, &totaliteration) );                     //* start time counting*  
 
-   //    int varindex = SCIPvarGetIndex(var);                                    /* (2) */
-   //    assert(varindex!= NULL);
 
-   //    // printf("%s****%d\n",SCIPvarGetName(var),varindex);
-   //    for (int r = 0; r < nSlotConss; ++r)
-   //    {
-   //       id = badconss[r];
-   //       SCIP_CONS* cons = SCIPgetConss(relaxscip)[id];
-   //       // printf("%s \t",SCIPconsGetName(cons));
-   //       SCIP_CALL(SCIPgetConsNVars(relaxscip, cons, &nconsvars, &valid)); 
-   //       SCIP_CALL(SCIPgetConsVars(relaxscip, cons, varbuffers, nconsvars, &valid));
-   //       if (!valid){
-   //       abort(); }
 
-   //       for (int j = 0; j < nconsvars; ++j)                                            /* (8) */
-   //       {
-   //          SCIP_VAR* varx = varbuffers[j];
-   //          int varbufindex = SCIPvarGetIndex(varx);
-   //          assert(varbufindex != NULL);
-   //          // printf("%s\t \t%d",SCIPvarGetName(varx),varbufindex);
+   int* consids;
+
+   SCIP_Real* weights;
+   SCIP_CALL(SCIPallocBufferArray(relaxscip,&weights,nvars));   
+
+   SCIP_CALL(SCIPallocBufferArray(relaxscip,&consids,nSlotConss));
+
+   SCIP_Real maxobj=0;
+   for (int v = 0; v < nvars; v++)
+   {
+      SCIP_VAR* var = SCIPgetVars(scip)[v];
+      weights[v]=SCIPvarGetObj(var);
+      if(maxobj<weights[v]){maxobj=weights[v];}
+   }
+   
+   for (int v = 0; v < nvars; v++)
+   { 
+      int* varids;
+      int NVarInBadConss=0;
+      int nconsvars = 0;
+      SCIP_VAR* var = vars[v];
+
+      int varindex = SCIPvarGetIndex(var);                                    /* (2) */
+      assert(varindex!= NULL);
+
+      for (int r = 0; r < nSlotConss; ++r)
+      {
+         id = badconss[r];
+         SCIP_CONS* cons = SCIPgetConss(relaxscip)[id];
+         //fprintf(solutions,"%s,%d \n",SCIPconsGetName(cons),r);
+         SCIP_CALL(SCIPgetConsNVars(relaxscip, cons, &nconsvars, &valid)); 
+         SCIP_CALL(SCIPgetConsVars(relaxscip, cons, varbuffers, nconsvars, &valid));
+         if (!valid){abort(); }
+
+         for (int j = 0; j < nconsvars; ++j)                                            /* (8) */
+         {
+            SCIP_VAR* varx = varbuffers[j];
+            int varbufindex = SCIPvarGetIndex(varx);
+            assert(varbufindex != NULL);
+            // printf("%s\t \t%d",SCIPvarGetName(varx),varbufindex);
             
             
-   //          /** if var[i] is in cons[c], write conspointer in VarConss and increase nVarConsscounter */
-   //          if (varindex == varbufindex)                                           /* (9) */
-   //          {
+            /** if var[i] is in cons[c], write conspointer in VarConss and increase nVarConsscounter */
+            if (varindex == varbufindex)                                           /* (9) */
+            {
                
-   //             // VarSlotConss[NVarInBadConss] = cons;
-   //             consids[NVarInBadConss]=id;
-   //             NVarInBadConss++;
-   //             // printf(" %s \t,",SCIPconsGetName(cons));
-   //          }
-   //       }
-   //    }
-
-   //    SCIP_CALL(SCIPallocBufferArray(relaxscip, &varids, NVarInBadConss));
-   //    for(int t=0;t<NVarInBadConss;t++)
-   //    {
-   //       varids[t]=consids[t];
-   //       // printf("%d \t",varids[t]);
-   //    }
+               // VarSlotConss[NVarInBadConss] = cons;
+               consids[NVarInBadConss]=r;
+               NVarInBadConss++;
+               // printf(" %s \t,",SCIPconsGetName(cons));
+            }
+         }
+      }
 
+      SCIP_CALL(SCIPallocBufferArray(relaxscip, &varids, NVarInBadConss));
+      for(int t=0;t<NVarInBadConss;t++)
+      {
+         varids[t]=consids[t];
+         // printf("%d \t",varids[t]);
+      }
+      // printf("\n");
    //    // vardata=SCIPvarGetData(var);
-   //    SCIP_CALL(SCIPallocBlockMemory(scip , &vardata));     
-   //    SCIP_CALL(SCIPduplicateBlockMemoryArray(scip, &(vardata->varids), varids, NVarInBadConss));
-   //    vardata->NVarInBadConss = NVarInBadConss;  /**copy nVarConss to VarData */
-   //    vardata->varids = varids;
-   //    // /**set the variable data to the variable*/
-   //    SCIPvarSetData(var,vardata);  
-   // }
+      SCIP_CALL(SCIPallocBlockMemory(scip , &vardata));     
+      SCIP_CALL(SCIPduplicateBlockMemoryArray(scip, &(vardata->varids), varids, NVarInBadConss));
+      vardata->NVarInBadConss = NVarInBadConss;  /**copy nVarConss to VarData */
+      vardata->varids = varids;
+      // /**set the variable data to the variable*/
+      SCIPvarSetData(var,vardata);  
+   }
 
-   // // SCIP_CALL(SCIPstopClock(relaxscip,varslottime));
+   SCIP_CALL(SCIPstopClock(relaxscip,varslottime));
    
 
-   // FILE* AfterPreProcessing;
-   // AfterPreProcessing = fopen("AfterPreProcessing.txt","w+");
+   FILE* AfterPreProcessing;
+   AfterPreProcessing = fopen("AfterPreProcessing.txt","w+");
 
-   // // SCIP_CALL(SCIPprintOrigProblem(relaxscip, AfterPreProcessing, "lp", FALSE));
+   SCIP_CALL(SCIPprintOrigProblem(relaxscip, AfterPreProcessing, "lp", FALSE));
 
-   // SCIPinfoMessage(relaxscip, TimeCollector, "\n row and column identified in (sec) : %f\n", SCIPgetClockTime(relaxscip, varslottime));
-   // for(int r=0;r<nSlotConss;r++)
-   // {
-   //    id = badconss[r];
-   //    SCIP_CONS* cons = SCIPgetConss(relaxscip)[id];
-   //    SCIP_CALL(SCIPdelCons(relaxscip,cons));
-   // }
+   SCIPinfoMessage(relaxscip, TimeCollector, "\n row and column identified in (sec) : %f\n", SCIPgetClockTime(relaxscip, varslottime));
+   for(int r=0;r<nSlotConss;r++)
+   {
+      id = badconss[r];
+      SCIP_CONS* cons = SCIPgetConss(relaxscip)[id];
+      SCIP_CALL(SCIPdelCons(relaxscip,cons));
+   }
 
-   // /******************************************************************************************************************/
-   // /*Next, we will do the initial iteration of finding the dual mulpliers of each slot conss, and their sum(dualsum) */
-   // /* In the end, we will subtract this sum from the objective of the function.                                      */
-   // /* It's initial, because while we would search for more dual multipliers to solve the Lagrangian relaxation       */
-   // /******************************************************************************************************************/
-   // SCIP_Real* dualmultipliers;
-   // SCIP_CALL(SCIPallocBufferArray(relaxscip,&dualmultipliers,nSlotConss));
+   /******************************************************************************************************************/
+   /*Next, we will do the initial iteration of finding the dual mulpliers of each slot conss, and their sum(dualsum) */
+   /* In the end, we will subtract this sum from the objective of the function.                                      */
+   /* It's initial, because while we would search for more dual multipliers to solve the Lagrangian relaxation       */
+   /******************************************************************************************************************/
+   SCIP_Real* dualmultipliers;
+   SCIP_CALL(SCIPallocBufferArray(relaxscip,&dualmultipliers,nSlotConss));
    
-   // SCIP_Real* subgradients;
-   // SCIP_CALL(SCIPallocBufferArray(relaxscip,&subgradients,nSlotConss));
-   // //initialize subgradients;
-   // SCIP_Real stepsize = 1.00000;
-   // SCIP_Real sumofduals=0;
-   // for ( int r = 0; r < nSlotConss; ++r)
-   // {
-   //    dualmultipliers[r] = 0;
-   //    sumofduals+=dualmultipliers[r];                    //adds the negative of the minimum in each iteration
-   // }
+   SCIP_Real* subgradients;
+   SCIP_CALL(SCIPallocBufferArray(relaxscip,&subgradients,nSlotConss));
+   //initialize subgradients;
+   SCIP_Real stepsize = 15;
+   SCIP_Real sumofduals=0;
+   for ( int r = 0; r < nSlotConss; ++r)
+   {
+      dualmultipliers[r] = 0;
+      sumofduals+=dualmultipliers[r];                    //adds the negative of the minimum in each iteration
+   }
 
 
 
@@ -854,208 +876,346 @@ SCIP_DECL_RELAXEXEC(relaxExeclagr)
    // /****************************************************************************************************************/
    
  
-   // FILE* solutions;
-   // solutions = fopen("sol.txt","wr");
-   // FILE* dual;
-   // dual= fopen("dual.txt","wr");
-   // FILE* variableinfo; 
-   // variableinfo = fopen("var.txt","wr");
-   // FILE* subgrad;
-   // subgrad = fopen("subgrads.txt","wr");
-   // FILE* varobjects;
-   // varobjects=fopen("varobjs.txt","wr");
-   // FILE* lower;
-   // lower=fopen("lowerbounds.txt","wr");
-   // FILE* iter;
-   // lower=fopen("iter.txt","wr");
 
 
-   // 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=125;
+   //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 oscilatecounter=0;
-   // int improvementcounter = 0;
-   // SCIP_Real oscilator1=0;
-   // SCIP_Real oscilator2=0;
-   // SCIP_Real forcompare = 0.000;
 
-   // fprintf(lower,"%d\n",maxiter);
 
-   // for(int iter=1;iter<=maxiter;iter++)
-   // {
+   int oscilatecounter=0;
+   int improvementcounter = 0;
+   SCIP_Real oscilator1=0;
+   SCIP_Real oscilator2=0;
+   SCIP_Real forcompare = -1000000000000000000;
+   SCIP_CALL(SCIPstartClock(relaxscip,totaliteration)); 
+
+   SCIP_Real* feasol;
+   SCIP_CALL(SCIPallocBufferArray(relaxscip,&feasol,nvars));               //will containt a feasible solution for our problem.
+   for(int v=0;v<nvars;v++)
+   {
+      feasol[v]=-1;  //we assign initial values equal to -1, signifying that the variable's value hasn't been decided yet.
+   }
+
+   
+
+   int* nvarsingoodconss;
+   SCIP_CALL(SCIPallocBufferArray(relaxscip,&nvarsingoodconss,SCIPgetNConss(relaxscip)));      //will contain {9,9,9,9,9,9} for the 6f4s problem.
+
+   int maxnvarsingoodconss = 0; //max number of variables found in a start constraint
+   int nconsvars = 0;            //number of vars in a startconss.
+
+   for(int r = 0; r<SCIPgetNConss(relaxscip);r++)
+   {
+      SCIP_CONS* cons = SCIPgetConss(relaxscip)[r];  
+      if(SCIPconsGetLhs(relaxscip,cons,&valid)==1)
+      {  
+         SCIP_CALL(SCIPgetConsNVars(relaxscip, cons, &nconsvars, &valid)); 
+         if(nconsvars>maxnvarsingoodconss){maxnvarsingoodconss=nconsvars;}
+         nvarsingoodconss[r]=nconsvars;
+      }
+   }
+   // printf("%d \n",maxnvarsingoodconss);
+   
+   SCIP_VAR** VARSinsidegoodconss;             //will contain the variable in a start constraint
+   SCIP_CALL(SCIPallocBufferArray(relaxscip, &VARSinsidegoodconss, maxnvarsingoodconss));          //the size is the max num a start constraint can hold. We do this not to allocate memory over and over again. 
+   //initialize this allocation
+   for(int v=0; v<maxnvarsingoodconss; v++)
+   {
+      VARSinsidegoodconss[v]=SCIPgetVars(relaxscip)[0];
+   }
+
+   for(int r = 0; r<SCIPgetNConss(relaxscip);r++)
+   {
       
-   //    for(int v=0;v<nvars;v++)
-   //    {
-   //       SCIP_VAR* var = vars[v];
-   //       double sum =0;
-         
-   //       vardata=SCIPvarGetData(var);
-   //       int* varids = SCIPvardataGetvarids(vardata); 
-   //       assert(varids=!NULL);
-   //       int NVarInBadConss = SCIPvardataGetNVarInBadConss(vardata);
-   //       if(NVarInBadConss==0){break;}
-   //       else
-   //       {
-   //          SCIP_CALL(SCIPprintOrigProblem(relaxscip, AfterPreProcessing, "lp", FALSE));
-   //          fprintf(varobjects,"%s \n",SCIPvarGetName(var));
-   //          for(int t=0;t<NVarInBadConss;t++)
-   //          {
-   //             sum += dualmultipliers[varids[t]];
-   //             fprintf(varobjects,"{id = %d, dual = %f, sum = %f\t",varids[t], dualmultipliers[varids[t]],sum);
-   //          }
-   //          fprintf(varobjects,"}\n\n");
-   //          SCIP_CALL(SCIPaddVarObj(relaxscip,var,sum));
+      SCIP_CONS* cons = SCIPgetConss(relaxscip)[r];  
+      if(SCIPconsGetLhs(relaxscip,cons,&valid)==1)
+      {
+         printf(" yes %s ",SCIPconsGetName(cons));
+         SCIP_CALL(SCIPgetConsNVars(relaxscip, cons, &nconsvars, &valid));
+         SCIP_CALL(SCIPgetConsVars(relaxscip, cons, VARSinsidegoodconss, nconsvars, &valid));
+         if (!valid){abort(); }
+         fprintf(solutions,"\n %s\n",SCIPconsGetName(cons));
+         for (int j = 0; j < nconsvars; ++j)                                            /* (8) */
+         {
+            SCIP_VAR* varx = (VARSinsidegoodconss)[j];
+            fprintf(solutions,"%s\t",SCIPvarGetName(varx));
+            int varbufindex = SCIPvarGetIndex(varx);  //get the index, which will be used in assigning values to the feassol.
+            assert(varbufindex != NULL);
+            fprintf(solutions,"%d\t",varbufindex);  
 
-   //       }
-         
+            if (feasol[varbufindex]==-1)
+            {
+               feasol[varbufindex]=1;
+               for(int s=j+1; s<nconsvars;++s)
+               {
+                  SCIP_VAR* varnext = (VARSinsidegoodconss)[s];
+                  int varnextindex = SCIPvarGetIndex(varnext);
+                  feasol[varnextindex]=0;
+               }
+
+               vardata=SCIPvarGetData(varx);
+               int* varids = SCIPvardataGetvarids(vardata); 
+               assert(varids=!NULL);
+               int NVarInBadConss = SCIPvardataGetNVarInBadConss(vardata);
+               fprintf(solutions,"nvarincons = %d\t",NVarInBadConss);
+               
+               for(int t=0;t<NVarInBadConss;t++)
+               {
          
-   //    }
+                  // fprintf(solutions,"(sid=%d, order=%d, nconsvars=%d,%d) \t",varids[t],increasingorder[varids[t]],listnconsvars[varids[t]],increasingorder[increasingorder[varids[t]]]);
+                  
+                  // varids[t] gives the constraint address. There we still would like to find out which variables are found.
+                  for(int p=increasingorder[varids[t]]-listnconsvars[varids[t]]; p<increasingorder[varids[t]]; ++p)
+                  {
 
-   //    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));
-   //    SCIPsetMessagehdlrQuiet(relaxscip, TRUE);
-   //    // fclose(AfterPreProcessing);
+                     if(SCIPvarGetIndex(vars[listconsvarids[p]])!=varbufindex)
+                     {
+                        fprintf(solutions,"var = %s\t",SCIPvarGetName(vars[listconsvarids[p]]));
+                        if(feasol[listconsvarids[p]]==-1)
+                        {
+                           feasol[listconsvarids[p]]=0;
+                        }
+                     }
+                  }
+               }
+               fprintf(solutions,"\n");
+            }
 
-   //    SCIP_CALL( SCIPtransformProb(relaxscip) );
-   //    SCIP_CALL( SCIPsolve(relaxscip) );
-   //    relaxval = SCIPgetPrimalbound(relaxscip);
-   //    printf("\ndualbound %f \n",SCIPgetDualbound(relaxscip));
-   //    fprintf(lower,"%f",SCIPgetPrimalbound(relaxscip));
-   //    SCIPdebugMessage("relaxation bound = %e status = %d\n", relaxval, SCIPgetStatus(relaxscip));
+                  
+            fprintf(solutions,"(%s,%d,%f)\n",SCIPvarGetName(varx), varbufindex,feasol[varbufindex]);
 
-   //    /*store the highest lower bound*/      
-   //    if(solvals[nvars]<SCIPgetPrimalbound(relaxscip)){solvals[nvars]=SCIPgetPrimalbound(relaxscip);fprintf(variableinfo,}
-   //    fprintf(variableinfo,"%f\n",solvals[nvars]);
 
+            
+
+         }
+         fprintf(solutions,"\n");
+      }
+        
       
+   }
 
-   //    /*make sure we're not oscilating by adding a counter, which checks the absolute value between the difference of the previous few steps and make sure it's not the same. */
-   //    oscilator2=abs(solvals[nvars+1]-SCIPgetPrimalbound(relaxscip));
-   //    if(oscilator1==oscilator2){oscilatecounter++;}
-   //    else(oscilator1=oscilator2);
-   //    if(oscilatecounter==5){printf("repetition"); break;}
-   //    printf("dprev.sol=%f, current=%f, difference %f, coutner=%d, ",solvals[nvars+1],SCIPgetPrimalbound(relaxscip), oscilator2, oscilatecounter);
+   
+   SCIP_Real upperbound=0;
+   for(int v=0;v<nvars;v++)
+   {
+      SCIP_VAR* var = SCIPgetVars(scip)[v];
+      fprintf(solutions," (%s %f weight %f) \n ", SCIPvarGetName(vars[v]),feasol[v], weights[v]);
+      upperbound+=(feasol[v]*SCIPvarGetObj(vars[v]));
+      // SCIPsetSolVal(scip,relaxdata->sol,var,feasol[v]);
+      SCIP_CALL(SCIPsetRelaxSolVal(scip, relax, SCIPgetVars(scip)[i], feasol[v]) );  //setting the solutions found here for the main scip problem.
+   }
+   printf("upper bound  = %f\n", upperbound);
+   SCIP_CALL( SCIPmarkRelaxSolValid(scip, relax, TRUE) );
+
+
+   SCIP_Real change=0;//for saving the dual solution of previous. 
+   int maxiter=130;
+   int stopping = 0;
+   for(int iter=1;iter<=maxiter;iter++)
+   {
       
-   //    /*store the solution on the last entry of solvals, so we can compare it in the next round for repetitions*/
-   //    solvals[nvars+1]=SCIPgetPrimalbound(relaxscip);
+      for(int v=0;v<nvars;v++)
+      {
+         SCIP_VAR* var = vars[v];
+         double sum =0;
+         
+         vardata=SCIPvarGetData(var);
+         int* varids = SCIPvardataGetvarids(vardata); 
+         assert(varids=!NULL);
+         int NVarInBadConss = SCIPvardataGetNVarInBadConss(vardata);
+         // if(NVarInBadConss==0){SCIPsetSolVal(relaxscip,) break;}
+         // else
+         // {
+         // SCIP_CALL(SCIPprintOrigProblem(relaxscip, AfterPreProcessing, "lp", FALSE));
+         // fprintf(varobjects,"%s \n",SCIPvarGetName(var));
+         for(int t=0;t<NVarInBadConss;t++)
+         {
+            sum += dualmultipliers[varids[t]];
+            // fprintf(varobjects,"{id = %d, dual = %f, sum = %f\t",varids[t], dualmultipliers[varids[t]],sum);
+         }
+         // fprintf(varobjects,"}\n\n");
+         SCIP_CALL(SCIPaddVarObj(relaxscip,var,sum));
 
-   //    /*breaking criteria for iterations*/
-   //    if(solvals[nvars]>forcompare){forcompare=solvals[nvars];}
-   //    else{improvementcounter++;}
-   //    if(improvementcounter==5){break;}
+         // }
+         
+         
+      }
 
-   //    /*get the best solution*/   
-   //    SCIP_SOL* bestsol = SCIPgetBestSol(relaxscip) ;
-   //    SCIP_SOL** sols = SCIPgetSols(relaxscip);
-   //    int nsols = SCIPgetNSols(relaxscip);
+      SCIPinfoMessage(relaxscip, TimeCollector, "\n finished changing the variable's weight after (sec) : %f\n", SCIPgetClockTime(relaxscip, totaliteration));
+      
+      SCIP_CALL(SCIPaddOrigObjoffset(relaxscip,-1*sumofduals));
+      //SCIP_CALL(SCIPprintOrigProblem(relaxscip, AfterPreProcessing, "lp", FALSE));
+      SCIPsetMessagehdlrQuiet(relaxscip, TRUE);
+      // fclose(AfterPreProcessing);
+
+      SCIP_CALL( SCIPtransformProb(relaxscip) );
+      SCIP_CALL( SCIPsolve(relaxscip) );
+      // relaxval = SCIPgetPrimalbound(relaxscip);
+      //printf("\ndualbound %f \n",SCIPgetDualbound(relaxscip));
+      fprintf(lower,"%f\n",SCIPgetPrimalbound(relaxscip));
+      // SCIPdebugMessage("relaxation bound = %e status = %d\n", relaxval, SCIPgetStatus(relaxscip));
+
+      /*store the highest lower bound*/      
+      if(solvals[nvars]<SCIPgetPrimalbound(relaxscip)){solvals[nvars]=SCIPgetPrimalbound(relaxscip);}
+      
 
+      
 
+      /*make sure we're not oscilating by adding a counter, which checks the absolute value between the difference of the previous few steps and make sure it's not the same. */
+      oscilator2=abs(solvals[nvars+1]-SCIPgetPrimalbound(relaxscip));
+      if(oscilator1==oscilator2){oscilatecounter++;}
+      else{oscilator1=oscilator2; oscilatecounter==0;}
+      //if(oscilatecounter==5){printf("repetition"); break;}
+      //printf("dprev.sol=%f, current=%f, difference %f, coutner=%d, ",solvals[nvars+1],SCIPgetPrimalbound(relaxscip), oscilator2, oscilatecounter);
+      
+      /*store the solution on the last entry of solvals, so we can compare it in the next round for repetitions*/
+      solvals[nvars+1]=SCIPgetPrimalbound(relaxscip);
+
+      /*breaking criteria for iterations*/
+      if(solvals[nvars]>forcompare){forcompare=solvals[nvars]; improvementcounter=0;}
+      else{improvementcounter++;}
+      //if(improvementcounter==10){break; fprintf(variableinfo,"%d\n",iter);}
+      printf("terminator %d",improvementcounter);
+
+      /*get the best solution*/   
+      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*/
-   //    SCIPinfoMessage(relaxscip, TimeCollector, "\n first iteration: problem solved after (sec) : %f\n", SCIPgetClockTime(relaxscip, varslottime));
-   //    fprintf(solutions,"number of solutions %d, first iteration \t bound=%f, \t objsol=%f \n",nsols, SCIPgetPrimalbound(relaxscip),relaxval);
-   //    // SCIP_CALL(SCIPprintBestSol(relaxscip,solutions,FALSE));
+      /*text output*/
+      //SCIPinfoMessage(relaxscip, TimeCollector, "\n first iteration: problem solved after (sec) : %f\n", SCIPgetClockTime(relaxscip, totaliteration));
+      //fprintf(solutions,"number of solutions %d, first iteration \t bound=%f, \t objsol=%f \n",nsols, SCIPgetPrimalbound(relaxscip),relaxval);
+      // SCIP_CALL(SCIPprintBestSol(relaxscip,solutions,FALSE));
 
-   //    /*store the solution in solvals so we can later export it to subgradient function*/
-   //    SCIP_Real lowerbound=0;
-   //    SCIPgetSolVals(relaxscip,bestsol,nvars,vars,solvals);
-   //    SCIP_CALL(SCIPprintSol(relaxscip,bestsol,dual,FALSE));
+      /*store the solution in solvals so we can later export it to subgradient function*/
+      SCIP_Real lowerbound=0;
+      SCIPgetSolVals(relaxscip,bestsol,nvars,vars,solvals);
+      //SCIP_CALL(SCIPprintSol(relaxscip,bestsol,dual,FALSE));
 
-   //    SCIP_Real compare=0;
-   //    for (int v = 0; v<nvars; ++v)
-   //    {
-   //       compare += solvals[v]*weights[v]; 
-   //    }
+      SCIP_Real compare=0;
+      for (int v = 0; v<nvars; ++v)
+      {
+         compare += solvals[v]*weights[v]; 
+      }
 
 
-   //    // stepsize = 15/double(iter+1); 
-   //    // fprintf(solutions, "\niteration %d\n",iter);
-   //    // fprintf(dual, "\niteration %d\n",iter);
-   //    // fprintf(variableinfo, "\niteration %d\n",iter);
-   //    // fprintf(varobjects, "\niteration %d\n",iter);
 
-   //    SCIP_CALL(SCIPaddOrigObjoffset(relaxscip,sumofduals));
-   //    // SCIP_CALL( SCIPfreeTransform(relaxscip) );
-   //    // SCIP_CALL( SCIPtransformProb(relaxscip) );
+      //stepsize = (stepsize+iter)/double(iter+1); 
+      // fprintf(solutions, "\niteration %d\n",iter);
+      // fprintf(dual, "\niteration %d\n",iter);
+      // fprintf(variableinfo, "\niteration %d\n",iter);
+      // fprintf(varobjects, "\niteration %d\n",iter);
 
-   //    counter = 0;
-   //    int checker = 0;
-   //    for(int r=0; r<nSlotConss;++r)
-   //    {
-   //       id = badconss[r];
-   //       double ax=-1;
-   //       for(int s=counter;s<(counter+listnconsvars[r]);++s)
-   //       {
-   //          // printf("%s->",SCIPvarGetName(vars[listconsvarids[s]]));
-   //          ax+=SCIPgetSolVal(relaxscip,bestsol,vars[listconsvarids[s]]);
-   //          // fprintf(subgrad,"%s\t,%f\t, sum %f",SCIPvarGetName(vars[listconsvarids[s]]),SCIPgetSolVal(relaxscip,bestsol,vars[listconsvarids[s]]),ax);
+      SCIP_CALL(SCIPaddOrigObjoffset(relaxscip,sumofduals));
+      // SCIP_CALL( SCIPfreeTransform(relaxscip) );
+      // SCIP_CALL( SCIPtransformProb(relaxscip) );
+
+      counter = 0;
+      int checker = 0;
+      for(int r=0; r<nSlotConss;++r)
+      {
+         id = badconss[r];
+         double ax=-1;
+         for(int s=counter;s<(counter+listnconsvars[r]);++s)
+         {
+            // printf("%s->",SCIPvarGetName(vars[listconsvarids[s]]));
+            ax+=SCIPgetSolVal(relaxscip,bestsol,vars[listconsvarids[s]]);
+            // fprintf(subgrad,"%s\t,%f\t, sum %f",SCIPvarGetName(vars[listconsvarids[s]]),SCIPgetSolVal(relaxscip,bestsol,vars[listconsvarids[s]]),ax);
             
-   //       }
+         }
          
-   //       counter += listnconsvars[r];
-   //       if(ax>0){checker++;}
-   //       subgradients[r]=ax;
-   //       // fprintf(subgrad, "\n subgrad = %f \t",subgradients[r]);
+         counter += listnconsvars[r];
+         if(ax>0){checker++;}
+         subgradients[r]=ax;
+         // fprintf(subgrad, "\n subgrad = %f \t",subgradients[r]);
          
-   //    }
-   //    /*breaking condition on finding a feasible solution*/
-   //    if(checker==0){printf("#*#*#*result found\n"); break;}
+      }
+      /*breaking condition on finding a feasible solution*/
+      if(checker==0){printf("#*#*#*result found\n"); break;}
 
-   //    SCIP_CALL( SCIPfreeTransform(relaxscip) );
-   //    SCIP_CALL( SCIPtransformProb(relaxscip) );
+      SCIP_CALL( SCIPfreeTransform(relaxscip) );
+      SCIP_CALL( SCIPtransformProb(relaxscip) );
    
       
 
       
-   //    for (int v = 0; v<nvars; ++v)
-   //    {
-   //       SCIP_VAR* var = vars[v];
+      for (int v = 0; v<nvars; ++v)
+      {
+         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]; 
-   //    }
-   //    // fprintf(dual,"dualbound = %f, lowerbound=%f, norm of subgrad %f\t",SCIPgetPrimalbound(relaxscip),lowerbound, getnorm(subgradients,nSlotConss,stepsize));
-   //    // fprintf(lower,"%f\n",lowerbound);
+         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]; 
+      }
+      // fprintf(dual,"dualbound = %f, lowerbound=%f, norm of subgrad %f\t",SCIPgetPrimalbound(relaxscip),lowerbound, getnorm(subgradients,nSlotConss,stepsize));
+      // fprintf(lower,"%f\n",lowerbound);
 
-   //    // stepsize = (SCIPgetPrimalbound(relaxscip)-lowerbound)/getnorm(subgradients,nSlotConss,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);
       
-   //    //add back the sum of the duals we subtracted from the main obj function
+      SCIP_Real difference = 1500000-SCIPgetPrimalbound(relaxscip);
+      SCIP_Real progress = SCIPgetPrimalbound(relaxscip)-change;
+      printf("\t %f\n",progress);
+
+      // if(difference>1)
+      // {
+      //    if(improvementcounter<5){stepsize = -2*(difference)/(getnorm(subgradients,nSlotConss,stepsize)*getnorm(subgradients,nSlotConss,stepsize));}
+      //    else{stepsize =-1*(difference)/(getnorm(subgradients,nSlotConss,stepsize)*getnorm(subgradients,nSlotConss,stepsize));}
+      // }
+      // else{stepsize=1;}
+      if(progress<0.1){stepsize=stepsize/iter; stopping++;}
+      stepsize = 1;
+      if(stopping==3){ break;}
+      fprintf(dual,"dualbound = %f, lowerbound=%f, norm of subgrad %f\t stepsize= %f \n" ,SCIPgetPrimalbound(relaxscip),lowerbound, getnorm(subgradients,nSlotConss,stepsize), stepsize);
+      change = SCIPgetPrimalbound(relaxscip);
+      fprintf(variableinfo,"%f\n",solvals[nvars]);
+      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);
+      
+      //add back the sum of the duals we subtracted from the main obj function
 
-   //    int sum=0;
-   //    sumofduals = 0;
+      int sum=0;
+      sumofduals = 0;
 
-   //    for(int r=0; r<nSlotConss;++r)
-   //    { 
-   //       dualmultipliers[r] += subgradients[r]*stepsize;
-   //       if(dualmultipliers[r]<0){dualmultipliers[r]=0;}
+      for(int r=0; r<nSlotConss;++r)
+      { 
+         dualmultipliers[r] += subgradients[r]*stepsize;
+         if(dualmultipliers[r]<0){dualmultipliers[r]=0;}
          
-   //       sum+=dualmultipliers[r];
-   //       // fprintf(dual," then %f step size %f \n",dualmultipliers[r], stepsize);
-   //    }
-   //    sumofduals=sum;
-   //    // fprintf(dual,"iteration %d, sumofduals=%f\n",iter, sumofduals);
-   //    SCIPinfoMessage(relaxscip, TimeCollector, "\n new dual found after (sec) : %f\n", SCIPgetClockTime(relaxscip, varslottime));
-   //    // if(checker==0){printf("solution found in %d iterations\n",iter); break;}
-   // }
-   // SCIPfreeTransform(relaxscip);
-   // fclose(variableinfo);
-   // fclose(dual);
-   // fclose(subgrad);
-   // fclose(varobjects);
-   // fclose(solutions);
-   // fclose(lower);
+         sumofduals+=dualmultipliers[r];
+         //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);
+      SCIPinfoMessage(relaxscip, TimeCollector, "%f\n", SCIPgetClockTime(relaxscip, totaliteration));
+      // if(checker==0){printf("solution found in %d iterations\n",iter); break;}
+   }
+   SCIPfreeTransform(relaxscip);
+   fclose(variableinfo);
+   fclose(dual);
+   fclose(subgrad);
+   fclose(varobjects);
+   fclose(solutions);
+   fclose(lower);
 
+   *lowerbound = solvals[nvars];
+   *result = SCIP_SUCCESS;
+   printf("\nis it solved %d\n",SCIPisRelaxSolValid(scip));
+   relaxval = solvals[nvars];
+   SCIPdebugMessage("relaxation bound = %e status = %d\n", relaxval, SCIPgetStatus(relaxscip));
+   
    if( SCIPgetStatus(relaxscip) == SCIP_STATUS_OPTIMAL )
    {
       /* store relaxation solution in original SCIP if it improves the best relaxation solution thus far */
diff --git a/time.txt b/time.txt
index 91b260f..144124a 100644
--- a/time.txt
+++ b/time.txt
@@ -1,2 +1,67 @@
 
- row and column identified in (sec) : 0.000252
+ row and column identified in (sec) : 0.000162
+
+ finished changing the variable's weight after (sec) : 0.000941
+0.006116
+
+ finished changing the variable's weight after (sec) : 0.006164
+0.020437
+
+ finished changing the variable's weight after (sec) : 0.020603
+0.029869
+
+ finished changing the variable's weight after (sec) : 0.030062
+0.052249
+
+ finished changing the variable's weight after (sec) : 0.052727
+0.083780
+
+ finished changing the variable's weight after (sec) : 0.084110
+0.100559
+
+ finished changing the variable's weight after (sec) : 0.100606
+0.134207
+
+ finished changing the variable's weight after (sec) : 0.134376
+0.170888
+
+ finished changing the variable's weight after (sec) : 0.170987
+0.189907
+
+ finished changing the variable's weight after (sec) : 0.190397
+0.214879
+
+ finished changing the variable's weight after (sec) : 0.215035
+0.248610
+
+ finished changing the variable's weight after (sec) : 0.249024
+0.276051
+
+ finished changing the variable's weight after (sec) : 0.276489
+0.305234
+
+ finished changing the variable's weight after (sec) : 0.305363
+0.331501
+
+ finished changing the variable's weight after (sec) : 0.331629
+0.365271
+
+ finished changing the variable's weight after (sec) : 0.365548
+0.392237
+
+ finished changing the variable's weight after (sec) : 0.392345
+0.416936
+
+ finished changing the variable's weight after (sec) : 0.417094
+0.448937
+
+ finished changing the variable's weight after (sec) : 0.449053
+0.480631
+
+ finished changing the variable's weight after (sec) : 0.481091
+0.520802
+
+ finished changing the variable's weight after (sec) : 0.520921
+0.540580
+
+ finished changing the variable's weight after (sec) : 0.540629
diff --git a/var.txt b/var.txt
index e69de29..9650a2a 100644
--- a/var.txt
+++ b/var.txt
@@ -0,0 +1,21 @@
+1.000000
+14.000000
+27.000000
+40.000000
+50.000000
+51.000000
+51.000000
+54.000000
+58.000000
+59.000000
+59.000000
+62.000000
+63.000000
+63.000000
+65.000000
+65.000000
+67.000000
+68.000000
+73.000000
+74.000000
+74.000000
-- 
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