Using config_str = balanced_complex
my test [0.0, 0.1, 0.2]
delta =  0.0
k =  2
the size of clean data is  (100, 2)
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  5446114.330941607
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00010090786963701248
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0003170883283019066
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 2 rows and 0 columns.
Aggregator did 7 substitutions.
Reduced LP has 2 rows, 7 columns, and 14 nonzeros.
Presolve time = 0.00 sec. (0.01 ticks)
LP solving time time = 0.00048596784472465515
 the time of baseline is  0.004731893539428711
 the baseline violation is  8.881784197001252e-15
 the cost after round is  5446114.330941607

 Our method
 the time of our method is 0.0016560554504394531
 the our violation is  0.8200000000000003
 the cost after round is  8687329




delta =  0.0
k =  4
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  5696828.788041951
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.0007532797753810883
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0002994770184159279
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 5 rows and 2 columns.
Aggregator did 11 substitutions.
Reduced LP has 4 rows, 14 columns, and 28 nonzeros.
Presolve time = 0.00 sec. (0.02 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =        507665.239715
LP solving time time = 0.0003650374710559845
 the time of baseline is  0.005330324172973633
 the baseline violation is  5.329070518200751e-15
 the cost after round is  5696828.788041951

 Our method
 the time of our method is 0.001939535140991211
 the our violation is  0.8999999999999995
 the cost after round is  9191326




delta =  0.0
k =  6
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  5211657.990526086
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 7.599033415317535e-05
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0003183754161000252
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 11 rows and 8 columns.
Aggregator did 9 substitutions.
Reduced LP has 4 rows, 12 columns, and 24 nonzeros.
Presolve time = 0.00 sec. (0.02 ticks)
Initializing dual steep norms . . .
LP solving time time = 0.0003187255933880806
 the time of baseline is  0.004903078079223633
 the baseline violation is  6.661338147750939e-15
 the cost after round is  5211657.990526086

 Our method
 the time of our method is 0.0021359920501708984
 the our violation is  0.5
 the cost after round is  9344877




delta =  0.0
k =  8
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  5088186.7464045705
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 9.114667773246765e-05
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.00036804191768169403
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 16 rows and 13 columns.
Aggregator did 12 substitutions.
Reduced LP has 3 rows, 12 columns, and 24 nonzeros.
Presolve time = 0.00 sec. (0.02 ticks)

Iteration log . . .
Iteration:     1   Dual objective     =       1304233.219846
LP solving time time = 0.0003640642389655113
 the time of baseline is  0.005647897720336914
 the baseline violation is  4.884981308350689e-15
 the cost after round is  5088186.7464045705

 Our method
 the time of our method is 0.0023708343505859375
 the our violation is  0.8300000000000001
 the cost after round is  9053309




delta =  0.0
k =  10
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4971785.509100409
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 9.023770689964294e-05
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.00035856664180755615
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 10 rows and 7 columns.
Aggregator did 10 substitutions.
Reduced LP has 4 rows, 13 columns, and 26 nonzeros.
Presolve time = 0.00 sec. (0.02 ticks)
Initializing dual steep norms . . .
LP solving time time = 0.00036638230085372925
 the time of baseline is  0.005507946014404297
 the baseline violation is  5.329070518200751e-15
 the cost after round is  4971785.509100409

 Our method
 the time of our method is 0.0027217864990234375
 the our violation is  0.9699999999999998
 the cost after round is  9712473




delta =  0.0
k =  12
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4790233.327100645
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00010801758617162704
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0004506772384047508
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 13 rows and 9 columns.
Aggregator did 17 substitutions.
Reduced LP has 6 rows, 23 columns, and 46 nonzeros.
Presolve time = 0.00 sec. (0.03 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =        972067.605475
LP solving time time = 0.00040165800601243973
 the time of baseline is  0.006601572036743164
 the baseline violation is  7.105427357601002e-15
 the cost after round is  4790233.327100645

 Our method
 the time of our method is 0.0028581619262695312
 the our violation is  0.9599999999999991
 the cost after round is  9681680




delta =  0.0
k =  14
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4786320.134662664
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00011446140706539154
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.00047211162745952606
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 13 rows and 8 columns.
Aggregator did 20 substitutions.
Reduced LP has 5 rows, 20 columns, and 40 nonzeros.
Presolve time = 0.00 sec. (0.03 ticks)

Iteration log . . .
Iteration:     1   Dual objective     =        992953.182221
LP solving time time = 0.00040343496948480606
 the time of baseline is  0.006814479827880859
 the baseline violation is  3.774758283725532e-15
 the cost after round is  4786320.134662664

 Our method
 the time of our method is 0.0033833980560302734
 the our violation is  0.879999999999999
 the cost after round is  9448637




delta =  0.0
k =  16
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4689449.131361658
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00011786259710788727
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0004750248044729233
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 15 rows and 11 columns.
Aggregator did 17 substitutions.
Reduced LP has 5 rows, 20 columns, and 40 nonzeros.
Presolve time = 0.00 sec. (0.03 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =        952826.992872
LP solving time time = 0.0003875577822327614
 the time of baseline is  0.0068645477294921875
 the baseline violation is  5.773159728050814e-15
 the cost after round is  4689449.131361658

 Our method
 the time of our method is 0.0037078857421875
 the our violation is  0.95
 the cost after round is  9659370




delta =  0.0
k =  18
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4772118.497081104
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.000123586505651474
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.000533069483935833
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 22 rows and 18 columns.
Aggregator did 14 substitutions.
Reduced LP has 5 rows, 17 columns, and 34 nonzeros.
Presolve time = 0.00 sec. (0.03 ticks)
Initializing dual steep norms . . .
LP solving time time = 0.0003680083900690079
 the time of baseline is  0.007317543029785156
 the baseline violation is  1.7763568394002505e-15
 the cost after round is  4772118.497081104

 Our method
 the time of our method is 0.0039958953857421875
 the our violation is  0.9199999999999999
 the cost after round is  10011427




delta =  0.0
k =  20
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4505404.588203951
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.0001190556213259697
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0005008941516280174
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 20 rows and 16 columns.
Aggregator did 13 substitutions.
Reduced LP has 4 rows, 13 columns, and 26 nonzeros.
Presolve time = 0.00 sec. (0.03 ticks)

Iteration log . . .
Iteration:     1   Dual objective     =       1183526.907778
LP solving time time = 0.00038239918649196625
 the time of baseline is  0.007056713104248047
 the baseline violation is  5.773159728050814e-15
 the cost after round is  4505404.588203951

 Our method
 the time of our method is 0.0033190250396728516
 the our violation is  0.8500000000000001
 the cost after round is  9100822




delta =  0.0
k =  25
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4505404.588203953
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00012639164924621582
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0005352403968572617
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 18 rows and 14 columns.
Aggregator did 13 substitutions.
Reduced LP has 4 rows, 13 columns, and 26 nonzeros.
Presolve time = 0.00 sec. (0.03 ticks)

Iteration log . . .
Iteration:     1   Dual objective     =       1242640.890628
LP solving time time = 0.0003985827788710594
 the time of baseline is  0.007470369338989258
 the baseline violation is  3.552713678800501e-15
 the cost after round is  4505404.588203953

 Our method
 the time of our method is 0.0039043426513671875
 the our violation is  0.8000000000000003
 the cost after round is  10251065




delta =  0.0
k =  30
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4472423.884222401
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00014572031795978546
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0006194235756993294
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 15 rows and 10 columns.
Aggregator did 18 substitutions.
Reduced LP has 6 rows, 21 columns, and 42 nonzeros.
Presolve time = 0.00 sec. (0.03 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =       1188678.682797
LP solving time time = 0.0004318021237850189
 the time of baseline is  0.008443593978881836
 the baseline violation is  6.661338147750939e-15
 the cost after round is  4472423.884222401

 Our method
 the time of our method is 0.0048100948333740234
 the our violation is  0.8999999999999999
 the cost after round is  9320130




delta =  0.1
k =  2
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  5063769.064616263
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 5.3542666137218475e-05
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0001828707754611969
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 7 rows and 9 columns.
All rows and columns eliminated.
Presolve time = 0.00 sec. (0.00 ticks)
LP solving time time = 0.00024743471294641495
 the time of baseline is  0.0034246444702148438
 the baseline violation is  8.881784197001252e-16
 the cost after round is  5063769.064616263

 Our method
 the time of our method is 0.0012347698211669922
 the our violation is  0.6700000000000017
 the cost after round is  8687329




delta =  0.1
k =  4
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  5541968.025117083
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 8.440576493740082e-05
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.00033945124596357346
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 20 substitutions.
Reduced LP has 4 rows, 20 columns, and 40 nonzeros.
Presolve time = 0.00 sec. (0.03 ticks)

Iteration log . . .
Iteration:     1   Dual objective     =        601972.947411
LP solving time time = 0.000346258282661438
 the time of baseline is  0.005318403244018555
 the baseline violation is  8.881784197001252e-16
 the cost after round is  5541968.025117083

 Our method
 the time of our method is 0.0019807815551757812
 the our violation is  0.9800000000000002
 the cost after round is  10858450




delta =  0.1
k =  6
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  5075916.780199073
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00012417417019605637
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0004902482032775879
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 5 rows and 0 columns.
Aggregator did 23 substitutions.
Reduced LP has 7 rows, 30 columns, and 60 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =        883786.042308
LP solving time time = 0.00044430792331695557
 the time of baseline is  0.007675886154174805
 the baseline violation is  4.440892098500626e-16
 the cost after round is  5075916.780199073

 Our method
 the time of our method is 0.0025217533111572266
 the our violation is  0.6666666666666661
 the cost after round is  10793398




delta =  0.1
k =  8
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4787067.565782895
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00016744807362556458
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0004425216466188431
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 21 substitutions.
Reduced LP has 4 rows, 21 columns, and 42 nonzeros.
Presolve time = 0.00 sec. (0.03 ticks)

Iteration log . . .
Iteration:     1   Dual objective     =        668391.668292
LP solving time time = 0.0005660960450768471
 the time of baseline is  0.00842905044555664
 the baseline violation is  1.7763568394002505e-15
 the cost after round is  4787067.565782895

 Our method
 the time of our method is 0.002900838851928711
 the our violation is  0.8700000000000006
 the cost after round is  9091656




delta =  0.1
k =  10
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4788867.122972973
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 8.899625390768051e-05
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.00039356574416160583
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 5 rows and 1 columns.
Aggregator did 21 substitutions.
Reduced LP has 4 rows, 21 columns, and 42 nonzeros.
Presolve time = 0.00 sec. (0.03 ticks)

Iteration log . . .
Iteration:     1   Dual objective     =        716461.740416
LP solving time time = 0.00037669017910957336
 the time of baseline is  0.0058329105377197266
 the baseline violation is  2.6645352591003757e-15
 the cost after round is  4788867.122972973

 Our method
 the time of our method is 0.0026314258575439453
 the our violation is  0.8888888888888884
 the cost after round is  8744982




delta =  0.1
k =  12
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4626167.765758599
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 9.186472743749619e-05
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.00041059497743844986
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 6 rows and 2 columns.
Aggregator did 18 substitutions.
Reduced LP has 6 rows, 24 columns, and 48 nonzeros.
Presolve time = 0.00 sec. (0.03 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =        768413.808235
LP solving time time = 0.00038955267518758774
 the time of baseline is  0.005975484848022461
 the baseline violation is  1.7763568394002505e-15
 the cost after round is  4626167.765758599

 Our method
 the time of our method is 0.0028502941131591797
 the our violation is  0.9777777777777779
 the cost after round is  8924020




delta =  0.1
k =  14
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4495717.974625886
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00010296422988176346
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.00045047421008348465
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 10 rows and 6 columns.
Aggregator did 21 substitutions.
Reduced LP has 4 rows, 21 columns, and 42 nonzeros.
Presolve time = 0.00 sec. (0.03 ticks)

Iteration log . . .
Iteration:     1   Dual objective     =        886814.226437
LP solving time time = 0.0003855181857943535
 the time of baseline is  0.006483554840087891
 the baseline violation is  4.440892098500626e-16
 the cost after round is  4495717.974625886

 Our method
 the time of our method is 0.0032243728637695312
 the our violation is  0.7640000000000005
 the cost after round is  9592828




delta =  0.1
k =  16
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4408427.813078594
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00013665668666362762
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0005740700289607048
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 10 rows and 5 columns.
Aggregator did 29 substitutions.
Reduced LP has 5 rows, 29 columns, and 58 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)

Iteration log . . .
Iteration:     1   Dual objective     =       1156244.463463
LP solving time time = 0.00045628007501363754
 the time of baseline is  0.007920503616333008
 the baseline violation is  1.7763568394002505e-15
 the cost after round is  4408427.813078594

 Our method
 the time of our method is 0.003782987594604492
 the our violation is  0.7777777777777768
 the cost after round is  8754670




delta =  0.1
k =  18
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4370328.171879489
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00021927431225776672
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.000845443457365036
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 6 rows and 1 columns.
Aggregator did 25 substitutions.
Reduced LP has 7 rows, 32 columns, and 64 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =        735318.646193
LP solving time time = 0.0007276097312569618
 the time of baseline is  0.029084444046020508
 the baseline violation is  1.3322676295501878e-15
 the cost after round is  4370328.171879489

 Our method
 the time of our method is 0.006192922592163086
 the our violation is  0.8900000000000003
 the cost after round is  8935122




delta =  0.1
k =  20
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4273194.786629039
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00015571992844343185
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0006138952448964119
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 13 rows and 8 columns.
Aggregator did 26 substitutions.
Reduced LP has 6 rows, 29 columns, and 58 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =       1132687.802281
LP solving time time = 0.00047519244253635406
 the time of baseline is  0.008470535278320312
 the baseline violation is  8.881784197001252e-16
 the cost after round is  4273194.786629039

 Our method
 the time of our method is 0.003918647766113281
 the our violation is  0.9700000000000002
 the cost after round is  9427706




delta =  0.1
k =  25
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4276183.468170651
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00017448235303163528
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0007413038983941078
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 21 rows and 16 columns.
Aggregator did 24 substitutions.
Reduced LP has 7 rows, 30 columns, and 60 nonzeros.
Presolve time = 0.00 sec. (0.05 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =       1625291.971644
LP solving time time = 0.0004959637299180031
 the time of baseline is  0.009584903717041016
 the baseline violation is  1.7763568394002505e-15
 the cost after round is  4276183.468170651

 Our method
 the time of our method is 0.004738569259643555
 the our violation is  0.6720000000000002
 the cost after round is  9591093




delta =  0.1
k =  30
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4228615.363709346
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.0002129664644598961
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0008674981072545052
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 16 rows and 10 columns.
Aggregator did 33 substitutions.
Reduced LP has 8 rows, 39 columns, and 78 nonzeros.
Presolve time = 0.00 sec. (0.05 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =       1648666.540922
LP solving time time = 0.0005321195349097252
 the time of baseline is  0.010969161987304688
 the baseline violation is  8.881784197001252e-16
 the cost after round is  4228615.363709346

 Our method
 the time of our method is 0.005616903305053711
 the our violation is  1.032000000000001
 the cost after round is  9196890




delta =  0.2
k =  2
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4620319.591598367
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 6.795208901166916e-05
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0003224266692996025
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 2 rows and 0 columns.
Aggregator did 8 substitutions.
Reduced LP has 2 rows, 8 columns, and 16 nonzeros.
Presolve time = 0.00 sec. (0.01 ticks)

Iteration log . . .
Iteration:     1   Dual objective     =        269687.163642
LP solving time time = 0.0004272758960723877
 the time of baseline is  0.0042514801025390625
 the baseline violation is  8.881784197001252e-16
 the cost after round is  4620319.591598367

 Our method
 the time of our method is 0.0014650821685791016
 the our violation is  0.9280000000000008
 the cost after round is  8687329




delta =  0.2
k =  4
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  5009348.107140175
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 7.904507219791412e-05
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.00035083387047052383
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 20 substitutions.
Reduced LP has 4 rows, 20 columns, and 40 nonzeros.
Presolve time = 0.00 sec. (0.03 ticks)

Iteration log . . .
Iteration:     1   Dual objective     =        649802.459329
LP solving time time = 0.0003328900784254074
 the time of baseline is  0.005174398422241211
 the baseline violation is  8.881784197001252e-16
 the cost after round is  5009348.107140175

 Our method
 the time of our method is 0.0020751953125
 the our violation is  1.0240000000000005
 the cost after round is  9549639




delta =  0.2
k =  6
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4700503.108382208
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00010734330862760544
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0004455922171473503
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 6 rows and 1 columns.
Aggregator did 26 substitutions.
Reduced LP has 6 rows, 29 columns, and 58 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =        783283.304714
LP solving time time = 0.00039964262396097183
 the time of baseline is  0.008068561553955078
 the baseline violation is  8.881784197001252e-16
 the cost after round is  4700503.108382208

 Our method
 the time of our method is 0.0027654170989990234
 the our violation is  0.9200000000000004
 the cost after round is  8616644




delta =  0.2
k =  8
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4636355.64750966
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 9.385775774717331e-05
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0004244595766067505
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 5 rows and 0 columns.
Aggregator did 25 substitutions.
Reduced LP has 6 rows, 28 columns, and 56 nonzeros.
Presolve time = 0.00 sec. (0.03 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =        826932.221768
LP solving time time = 0.00037353578954935074
 the time of baseline is  0.0060558319091796875
 the baseline violation is  1.7763568394002505e-15
 the cost after round is  4636355.64750966

 Our method
 the time of our method is 0.0025839805603027344
 the our violation is  0.768
 the cost after round is  9470813




delta =  0.2
k =  10
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4376546.284649872
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 9.66973602771759e-05
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.00042999815195798874
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 5 rows and 0 columns.
Aggregator did 21 substitutions.
Reduced LP has 9 rows, 33 columns, and 66 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =        852581.188885
LP solving time time = 0.00039057619869709015
 the time of baseline is  0.006343364715576172
 the baseline violation is  8.881784197001252e-16
 the cost after round is  4376546.284649872

 Our method
 the time of our method is 0.0029938220977783203
 the our violation is  0.9600000000000002
 the cost after round is  9292407




delta =  0.2
k =  12
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4351011.190556728
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00011644791811704636
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0005354974418878555
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 6 rows and 0 columns.
Aggregator did 33 substitutions.
Reduced LP has 7 rows, 36 columns, and 72 nonzeros.
Presolve time = 0.00 sec. (0.05 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =       1112332.819480
LP solving time time = 0.00039197131991386414
 the time of baseline is  0.007204532623291016
 the baseline violation is  1.7763568394002505e-15
 the cost after round is  4351011.190556728

 Our method
 the time of our method is 0.003117084503173828
 the our violation is  1.0080000000000002
 the cost after round is  8975098




delta =  0.2
k =  14
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4134918.76680187
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00011187605559825897
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0005214689299464226
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 8 rows and 3 columns.
Aggregator did 26 substitutions.
Reduced LP has 6 rows, 29 columns, and 58 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =        839742.048195
LP solving time time = 0.0003856746479868889
 the time of baseline is  0.0069217681884765625
 the baseline violation is  8.881784197001252e-16
 the cost after round is  4134918.76680187

 Our method
 the time of our method is 0.0033681392669677734
 the our violation is  0.95
 the cost after round is  8409436




delta =  0.2
k =  16
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4091740.0736596785
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.0001306748017668724
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0005329316481947899
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 7 rows and 2 columns.
Aggregator did 26 substitutions.
Reduced LP has 6 rows, 29 columns, and 58 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =        730342.344010
LP solving time time = 0.0004652412608265877
 the time of baseline is  0.007471799850463867
 the baseline violation is  1.7763568394002505e-15
 the cost after round is  4091740.0736596785

 Our method
 the time of our method is 0.003619670867919922
 the our violation is  0.7920000000000003
 the cost after round is  8807085




delta =  0.2
k =  18
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4070967.211176064
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00014635827392339706
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0006159581243991852
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 11 rows and 5 columns.
Aggregator did 28 substitutions.
Reduced LP has 8 rows, 34 columns, and 68 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =        920180.713654
LP solving time time = 0.0005015172064304352
 the time of baseline is  0.00840139389038086
 the baseline violation is  1.7763568394002505e-15
 the cost after round is  4070967.211176064

 Our method
 the time of our method is 0.004149913787841797
 the our violation is  0.875
 the cost after round is  9910540




delta =  0.2
k =  20
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4020630.0569962556
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00017259176820516586
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0007289601489901543
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 19 rows and 13 columns.
Aggregator did 28 substitutions.
Reduced LP has 10 rows, 40 columns, and 80 nonzeros.
Presolve time = 0.00 sec. (0.05 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =       1436604.517058
LP solving time time = 0.0004866747185587883
 the time of baseline is  0.009415388107299805
 the baseline violation is  1.9984014443252818e-15
 the cost after round is  4020630.0569962556

 Our method
 the time of our method is 0.004155874252319336
 the our violation is  0.8999999999999999
 the cost after round is  9844939




delta =  0.2
k =  25
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  4005834.3209924493
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00028325896710157394
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0010727550834417343
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 15 rows and 8 columns.
Aggregator did 32 substitutions.
Reduced LP has 12 rows, 47 columns, and 94 nonzeros.
Presolve time = 0.00 sec. (0.06 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =       1460807.665806
LP solving time time = 0.00063300970941782
 the time of baseline is  0.030392169952392578
 the baseline violation is  1.3322676295501878e-15
 the cost after round is  4005834.3209924493

 Our method
 the time of our method is 0.007170677185058594
 the our violation is  1.0400000000000003
 the cost after round is  8680190




delta =  0.2
k =  30
the size of clean data is  (100, 2)
the number of colors is 8
baseline cost
 the cost is  3963628.72768889
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00021918024867773056
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0008762339130043983
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 16 rows and 10 columns.
Aggregator did 37 substitutions.
Reduced LP has 6 rows, 37 columns, and 74 nonzeros.
Presolve time = 0.00 sec. (0.05 ticks)

Iteration log . . .
Iteration:     1   Dual objective     =       1351504.491916
LP solving time time = 0.00048001669347286224
 the time of baseline is  0.011217355728149414
 the baseline violation is  8.881784197001252e-16
 the cost after round is  3963628.72768889

 Our method
 the time of our method is 0.005396127700805664
 the our violation is  1.0160000000000005
 the cost after round is  8924428




