Using config_str = hypercube
my test [0.0, 0.1, 0.2]
delta =  0.0
k =  2
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2512068
Academic license 2512068 - for non-commercial use only - registered to sh___@mail.ustc.edu.cn
 the cost is  724.1029176477113
 the time of baseline is  0.007828474044799805
 the baseline violation is  0.0
 the cost after round is  724.1029176477113

 Our method
 the time of our method is 0.0034232139587402344
 the our violation is  0.0
 the cost after round is  193




delta =  0.0
k =  4
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  903.172480210867
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.000149567611515522
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0003048451617360115
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 2 rows and 2 columns.
All rows and columns eliminated.
Presolve time = 0.00 sec. (0.00 ticks)
LP solving time time = 0.0005333349108695984
 the time of baseline is  0.03540968894958496
 the baseline violation is  0.0
 the cost after round is  903.172480210867

 Our method
 the time of our method is 0.008105278015136719
 the our violation is  0.0
 the cost after round is  721




delta =  0.0
k =  6
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  943.5058908576165
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 7.719360291957855e-05
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.00037084147334098816
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 11 rows and 9 columns.
All rows and columns eliminated.
Presolve time = 0.00 sec. (0.00 ticks)
LP solving time time = 0.0002840142697095871
 the time of baseline is  0.011605024337768555
 the baseline violation is  8.881784197001252e-16
 the cost after round is  943.5058908576165

 Our method
 the time of our method is 0.00529789924621582
 the our violation is  0.0
 the cost after round is  615




delta =  0.0
k =  8
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  1042.878961568904
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00010877661406993866
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0003586653620004654
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 26 rows and 22 columns.
All rows and columns eliminated.
Presolve time = 0.00 sec. (0.01 ticks)
LP solving time time = 0.00032721739262342453
 the time of baseline is  0.013823270797729492
 the baseline violation is  7.105427357601002e-15
 the cost after round is  1042.878961568904

 Our method
 the time of our method is 0.006215572357177734
 the our violation is  0.0
 the cost after round is  379




delta =  0.0
k =  10
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  1037.5695772193137
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00014184601604938507
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0004567177966237068
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 26 rows and 22 columns.
All rows and columns eliminated.
Presolve time = 0.00 sec. (0.01 ticks)
LP solving time time = 0.0003940798342227936
 the time of baseline is  0.032824039459228516
 the baseline violation is  0.0
 the cost after round is  1037.5695772193137

 Our method
 the time of our method is 0.010990619659423828
 the our violation is  0.0
 the cost after round is  649




delta =  0.0
k =  12
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  1033.0252686064744
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00022749044001102448
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0008190302178263664
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 47 rows and 39 columns.
All rows and columns eliminated.
Presolve time = 0.00 sec. (0.02 ticks)
LP solving time time = 0.0005242936313152313
 the time of baseline is  0.03800392150878906
 the baseline violation is  7.105427357601002e-15
 the cost after round is  1033.0252686064744

 Our method
 the time of our method is 0.010594844818115234
 the our violation is  0.0
 the cost after round is  785




delta =  0.0
k =  14
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  997.602148058718
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00014545675367116928
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.00045283790677785873
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 25 rows and 21 columns.
All rows and columns eliminated.
Presolve time = 0.00 sec. (0.01 ticks)
LP solving time time = 0.00034922361373901367
 the time of baseline is  0.03373289108276367
 the baseline violation is  3.552713678800501e-15
 the cost after round is  997.602148058718

 Our method
 the time of our method is 0.013454198837280273
 the our violation is  0.0
 the cost after round is  673




delta =  0.0
k =  16
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  991.0868137565022
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00014718621969223022
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0005361372604966164
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 40 rows and 34 columns.
All rows and columns eliminated.
Presolve time = 0.00 sec. (0.01 ticks)
LP solving time time = 0.00037562940269708633
 the time of baseline is  0.018547773361206055
 the baseline violation is  1.7763568394002505e-15
 the cost after round is  991.0868137565022

 Our method
 the time of our method is 0.010323047637939453
 the our violation is  0.0
 the cost after round is  430




delta =  0.0
k =  18
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  1003.7065731466474
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00025208573788404465
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0011581005528569221
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 70 rows and 56 columns.
All rows and columns eliminated.
Presolve time = 0.00 sec. (0.03 ticks)
LP solving time time = 0.0004777750000357628
 the time of baseline is  0.039362430572509766
 the baseline violation is  5.329070518200751e-15
 the cost after round is  1003.7065731466474

 Our method
 the time of our method is 0.014248371124267578
 the our violation is  0.0
 the cost after round is  612




delta =  0.0
k =  20
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  984.5898649123835
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.0003187311813235283
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0013311253860592842
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 67 rows and 57 columns.
All rows and columns eliminated.
Presolve time = 0.00 sec. (0.03 ticks)
LP solving time time = 0.0004955511540174484
 the time of baseline is  0.04348611831665039
 the baseline violation is  3.552713678800501e-15
 the cost after round is  984.5898649123835

 Our method
 the time of our method is 0.01394510269165039
 the our violation is  0.0
 the cost after round is  598




delta =  0.0
k =  25
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  961.4240909717241
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.0004218500107526779
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0016018804162740707
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 69 rows and 61 columns.
All rows and columns eliminated.
Presolve time = 0.00 sec. (0.03 ticks)
LP solving time time = 0.0005761748179793358
 the time of baseline is  0.05046224594116211
 the baseline violation is  3.552713678800501e-15
 the cost after round is  961.4240909717241

 Our method
 the time of our method is 0.01643824577331543
 the our violation is  0.0
 the cost after round is  333




delta =  0.0
k =  30
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  945.7928356079932
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.000301312655210495
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0011050272732973099
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 76 rows and 62 columns.
All rows and columns eliminated.
Presolve time = 0.00 sec. (0.03 ticks)
LP solving time time = 0.0004454459995031357
 the time of baseline is  0.0292050838470459
 the baseline violation is  7.105427357601002e-15
 the cost after round is  945.7928356079932

 Our method
 the time of our method is 0.017939090728759766
 the our violation is  0.0
 the cost after round is  495




delta =  0.1
k =  2
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  695.41158271655
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 6.867200136184692e-05
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.00020481273531913757
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 8 rows and 6 columns.
All rows and columns eliminated.
Presolve time = 0.00 sec. (0.00 ticks)
LP solving time time = 0.0003177523612976074
 the time of baseline is  0.01009678840637207
 the baseline violation is  5.684341886080802e-14
 the cost after round is  695.41158271655

 Our method
 the time of our method is 0.0031633377075195312
 the our violation is  0.0
 the cost after round is  189




delta =  0.1
k =  4
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  814.3136961278445
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00012148730456829071
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.00039779581129550934
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 4 rows and 0 columns.
Aggregator did 22 substitutions.
Reduced LP has 4 rows, 22 columns, and 44 nonzeros.
Presolve time = 0.00 sec. (0.03 ticks)

Iteration log . . .
Iteration:     1   Dual objective     =            15.410697
LP solving time time = 0.0005377074703574181
 the time of baseline is  0.012919902801513672
 the baseline violation is  4.263256414560601e-14
 the cost after round is  814.3136961278445

 Our method
 the time of our method is 0.005067110061645508
 the our violation is  0.9444444444444429
 the cost after round is  419




delta =  0.1
k =  6
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  898.1964651189279
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.0001706508919596672
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0006085541099309921
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 7 rows and 1 columns.
Aggregator did 32 substitutions.
Reduced LP has 6 rows, 32 columns, and 64 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)

Iteration log . . .
Iteration:     1   Dual objective     =            27.065558
LP solving time time = 0.0006128698587417603
 the time of baseline is  0.0348203182220459
 the baseline violation is  2.1316282072803006e-14
 the cost after round is  898.1964651189279

 Our method
 the time of our method is 0.010138273239135742
 the our violation is  0.9875000000000043
 the cost after round is  758




delta =  0.1
k =  8
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  982.1918502907571
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00021221861243247986
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.000905260443687439
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 10 rows and 2 columns.
Aggregator did 44 substitutions.
Reduced LP has 9 rows, 47 columns, and 94 nonzeros.
Presolve time = 0.00 sec. (0.06 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =            39.770875
LP solving time time = 0.0006691999733448029
 the time of baseline is  0.037636518478393555
 the baseline violation is  1.4210854715202004e-14
 the cost after round is  982.1918502907571

 Our method
 the time of our method is 0.011768341064453125
 the our violation is  0.9444444444444446
 the cost after round is  379




delta =  0.1
k =  10
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  956.2975845635856
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00032427068799734116
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0009940853342413902
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 13 rows and 5 columns.
Aggregator did 45 substitutions.
Reduced LP has 9 rows, 48 columns, and 96 nonzeros.
Presolve time = 0.00 sec. (0.06 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =            45.845421
LP solving time time = 0.0008031586185097694
 the time of baseline is  0.039350271224975586
 the baseline violation is  1.0658141036401503e-14
 the cost after round is  956.2975845635856

 Our method
 the time of our method is 0.011028051376342773
 the our violation is  0.8333333333333321
 the cost after round is  762




delta =  0.1
k =  12
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  961.1266919338814
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00020846538245677948
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0008676759898662567
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 13 rows and 4 columns.
Aggregator did 46 substitutions.
Reduced LP has 11 rows, 52 columns, and 104 nonzeros.
Presolve time = 0.00 sec. (0.07 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =            40.506359
LP solving time time = 0.0005758572369813919
 the time of baseline is  0.01995110511779785
 the baseline violation is  1.4210854715202004e-14
 the cost after round is  961.1266919338814

 Our method
 the time of our method is 0.010496854782104492
 the our violation is  0.9500000000000002
 the cost after round is  421




delta =  0.1
k =  14
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  941.3276533968527
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.0002099834382534027
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0009542768821120262
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 21 rows and 13 columns.
Aggregator did 47 substitutions.
Reduced LP has 11 rows, 50 columns, and 108 nonzeros.
Presolve time = 0.00 sec. (0.07 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =            51.538077
LP solving time time = 0.00058794766664505
 the time of baseline is  0.02158188819885254
 the baseline violation is  1.4210854715202004e-14
 the cost after round is  941.3276533968527

 Our method
 the time of our method is 0.011618375778198242
 the our violation is  0.8500000000000005
 the cost after round is  470




delta =  0.1
k =  16
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  933.132113433509
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00021490361541509628
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0009152349084615707
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 15 rows and 7 columns.
Aggregator did 47 substitutions.
Reduced LP has 9 rows, 50 columns, and 100 nonzeros.
Presolve time = 0.00 sec. (0.07 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =            44.530003
LP solving time time = 0.0005498016253113747
 the time of baseline is  0.02176380157470703
 the baseline violation is  1.7763568394002505e-14
 the cost after round is  933.132113433509

 Our method
 the time of our method is 0.012201070785522461
 the our violation is  0.9166666666666661
 the cost after round is  476




delta =  0.1
k =  18
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  924.2636063004022
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00032485276460647583
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.001598660834133625
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 23 rows and 14 columns.
Aggregator did 51 substitutions.
Reduced LP has 10 rows, 54 columns, and 108 nonzeros.
Presolve time = 0.00 sec. (0.08 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =            51.978234
LP solving time time = 0.0008984226733446121
 the time of baseline is  0.04544687271118164
 the baseline violation is  1.4210854715202004e-14
 the cost after round is  924.2636063004022

 Our method
 the time of our method is 0.015907764434814453
 the our violation is  0.8055555555555536
 the cost after round is  473




delta =  0.1
k =  20
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  922.4423611739556
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.0002856096252799034
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0014232266694307327
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 41 rows and 32 columns.
Aggregator did 52 substitutions.
Reduced LP has 9 rows, 52 columns, and 104 nonzeros.
Presolve time = 0.00 sec. (0.09 ticks)

Iteration log . . .
Iteration:     1   Dual objective     =            80.046802
LP solving time time = 0.0006124051287770271
 the time of baseline is  0.026654958724975586
 the baseline violation is  1.0658141036401503e-14
 the cost after round is  922.4423611739556

 Our method
 the time of our method is 0.014823675155639648
 the our violation is  0.8888888888888893
 the cost after round is  373




delta =  0.1
k =  25
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  873.9039806135801
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00032688863575458527
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0014539966359734535
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 41 rows and 33 columns.
Aggregator did 54 substitutions.
Reduced LP has 15 rows, 59 columns, and 120 nonzeros.
Presolve time = 0.00 sec. (0.10 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual infeasibility =             0.908437
Iteration:     6   Dual objective     =            79.008931
LP solving time time = 0.0007050931453704834
 the time of baseline is  0.032593727111816406
 the baseline violation is  1.4210854715202004e-14
 the cost after round is  873.9039806135801

 Our method
 the time of our method is 0.017635583877563477
 the our violation is  1.0277777777777777
 the cost after round is  661




delta =  0.1
k =  30
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  892.1617266817194
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.0007605003193020821
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.002716801129281521
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 56 rows and 46 columns.
Aggregator did 57 substitutions.
Reduced LP has 14 rows, 57 columns, and 128 nonzeros.
Presolve time = 0.00 sec. (0.11 ticks)

Iteration log . . .
Iteration:     1   Dual objective     =            89.133619
LP solving time time = 0.0010422775521874428
 the time of baseline is  0.05708193778991699
 the baseline violation is  7.105427357601002e-15
 the cost after round is  892.1617266817194

 Our method
 the time of our method is 0.021706342697143555
 the our violation is  0.8375000000000004
 the cost after round is  410




delta =  0.2
k =  2
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  687.4628623272508
 the time of baseline is  0.008342742919921875
 the baseline violation is  0.0
 the cost after round is  687.4628623272508

 Our method
 the time of our method is 0.0032444000244140625
 the our violation is  0.0
 the cost after round is  418




delta =  0.2
k =  4
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  812.0618454855094
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00011283159255981445
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.00035765860229730606
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 7 rows and 4 columns.
Aggregator did 13 substitutions.
Reduced LP has 3 rows, 17 columns, and 30 nonzeros.
Presolve time = 0.00 sec. (0.02 ticks)

Iteration log . . .
Iteration:     1   Dual objective     =            13.448650
LP solving time time = 0.0005333945155143738
 the time of baseline is  0.014133930206298828
 the baseline violation is  2.4868995751603507e-14
 the cost after round is  812.0618454855094

 Our method
 the time of our method is 0.005264759063720703
 the our violation is  0.5625
 the cost after round is  364




delta =  0.2
k =  6
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  850.4872654476392
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00021054595708847046
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0007996112108230591
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 7 rows and 1 columns.
Aggregator did 30 substitutions.
Reduced LP has 7 rows, 33 columns, and 66 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =            26.125394
LP solving time time = 0.0008019767701625824
 the time of baseline is  0.03704380989074707
 the baseline violation is  3.552713678800501e-14
 the cost after round is  850.4872654476392

 Our method
 the time of our method is 0.008445501327514648
 the our violation is  0.6875
 the cost after round is  579




delta =  0.2
k =  8
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  919.3271922273655
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00016098655760288239
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0006578927859663963
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 9 rows and 1 columns.
Aggregator did 40 substitutions.
Reduced LP has 9 rows, 43 columns, and 86 nonzeros.
Presolve time = 0.00 sec. (0.06 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =            34.900051
LP solving time time = 0.000585789792239666
 the time of baseline is  0.018965482711791992
 the baseline violation is  1.0658141036401503e-14
 the cost after round is  919.3271922273655

 Our method
 the time of our method is 0.008222103118896484
 the our violation is  0.875
 the cost after round is  379




delta =  0.2
k =  10
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  897.9225993698122
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00028415117412805557
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.001260724849998951
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 11 rows and 3 columns.
Aggregator did 47 substitutions.
Reduced LP has 9 rows, 50 columns, and 100 nonzeros.
Presolve time = 0.00 sec. (0.07 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =            41.297477
LP solving time time = 0.0008445214480161667
 the time of baseline is  0.03754067420959473
 the baseline violation is  3.552713678800501e-15
 the cost after round is  897.9225993698122

 Our method
 the time of our method is 0.010983705520629883
 the our violation is  0.9000000000000004
 the cost after round is  622




delta =  0.2
k =  12
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  907.7123075057297
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00026862137019634247
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0011826148256659508
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 19 rows and 10 columns.
Aggregator did 55 substitutions.
Reduced LP has 11 rows, 61 columns, and 122 nonzeros.
Presolve time = 0.00 sec. (0.08 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =            63.112300
LP solving time time = 0.0007030339911580086
 the time of baseline is  0.038849592208862305
 the baseline violation is  3.552713678800501e-15
 the cost after round is  907.7123075057297

 Our method
 the time of our method is 0.012966632843017578
 the our violation is  1.125
 the cost after round is  512




delta =  0.2
k =  14
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  876.1455903757841
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.0003815367817878723
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0015429314225912094
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 21 rows and 13 columns.
Aggregator did 50 substitutions.
Reduced LP has 10 rows, 50 columns, and 106 nonzeros.
Presolve time = 0.00 sec. (0.08 ticks)

Iteration log . . .
Iteration:     1   Dual objective     =            54.292621
LP solving time time = 0.0008658971637487411
 the time of baseline is  0.04285073280334473
 the baseline violation is  8.881784197001252e-15
 the cost after round is  876.1455903757841

 Our method
 the time of our method is 0.01354670524597168
 the our violation is  0.8000000000000007
 the cost after round is  614




delta =  0.2
k =  16
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  873.0017026205056
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00037290435284376144
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0015516169369220734
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 22 rows and 14 columns.
Aggregator did 44 substitutions.
Reduced LP has 11 rows, 53 columns, and 106 nonzeros.
Presolve time = 0.00 sec. (0.07 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =            60.858796
LP solving time time = 0.0008812649175524712
 the time of baseline is  0.043584585189819336
 the baseline violation is  7.105427357601002e-15
 the cost after round is  873.0017026205056

 Our method
 the time of our method is 0.013217449188232422
 the our violation is  0.90625
 the cost after round is  680




delta =  0.2
k =  18
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  861.7424405872215
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00038408301770687103
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.001812138594686985
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 26 rows and 17 columns.
Aggregator did 54 substitutions.
Reduced LP has 10 rows, 57 columns, and 114 nonzeros.
Presolve time = 0.00 sec. (0.08 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =            63.214482
LP solving time time = 0.0009254217147827148
 the time of baseline is  0.045758962631225586
 the baseline violation is  7.105427357601002e-15
 the cost after round is  861.7424405872215

 Our method
 the time of our method is 0.015581369400024414
 the our violation is  0.9000000000000004
 the cost after round is  417




delta =  0.2
k =  20
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  851.2877167793048
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00034428294748067856
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0013850480318069458
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 28 rows and 19 columns.
Aggregator did 47 substitutions.
Reduced LP has 11 rows, 53 columns, and 106 nonzeros.
Presolve time = 0.00 sec. (0.08 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =            63.208830
LP solving time time = 0.0007586348801851273
 the time of baseline is  0.0458984375
 the baseline violation is  7.105427357601002e-15
 the cost after round is  851.2877167793048

 Our method
 the time of our method is 0.01748371124267578
 the our violation is  0.96875
 the cost after round is  499




delta =  0.2
k =  25
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  854.3452103823975
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.0004553031176328659
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0018686484545469284
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 38 rows and 29 columns.
Aggregator did 67 substitutions.
Reduced LP has 14 rows, 71 columns, and 148 nonzeros.
Presolve time = 0.00 sec. (0.11 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =            92.911145
LP solving time time = 0.0008497172966599464
 the time of baseline is  0.050745487213134766
 the baseline violation is  3.552713678800501e-15
 the cost after round is  854.3452103823975

 Our method
 the time of our method is 0.020383119583129883
 the our violation is  0.9000000000000004
 the cost after round is  497




delta =  0.2
k =  30
the size of clean data is  (800, 3)
the number of colors is 8
baseline cost
 the cost is  844.9443186411843
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00039140135049819946
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0015898030251264572
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 27 rows and 15 columns.
Aggregator did 70 substitutions.
Reduced LP has 14 rows, 76 columns, and 152 nonzeros.
Presolve time = 0.00 sec. (0.11 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =            81.030783
LP solving time time = 0.0007906919345259666
 the time of baseline is  0.033963918685913086
 the baseline violation is  3.552713678800501e-15
 the cost after round is  844.9443186411843

 Our method
 the time of our method is 0.0210721492767334
 the our violation is  0.9375
 the cost after round is  521




