Using config_str = balanced_cluto
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 9
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  5328627.083480246
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00011146906763315201
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.00032146181911230087
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)

Iteration log . . .
Iteration:     1   Dual objective     =        159411.029995
LP solving time time = 0.0005837781354784966
 the time of baseline is  0.0050868988037109375
 the baseline violation is  2.6645352591003757e-15
 the cost after round is  5328627.083480246

 Our method
 the time of our method is 0.0017063617706298828
 the our violation is  0.7999999999999998
 the cost after round is  10618768




delta =  0.0
k =  4
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  5192978.700276006
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00016990024596452713
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0006064334884285927
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 9 rows and 6 columns.
Aggregator did 15 substitutions.
Reduced LP has 3 rows, 15 columns, and 30 nonzeros.
Presolve time = 0.00 sec. (0.02 ticks)
LP solving time time = 0.0005525639280676842
 the time of baseline is  0.026665449142456055
 the baseline violation is  4.884981308350689e-15
 the cost after round is  5192978.700276006

 Our method
 the time of our method is 0.004355669021606445
 the our violation is  0.8699999999999992
 the cost after round is  13186633




delta =  0.0
k =  6
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4947274.931197339
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.0001226719468832016
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.00047647394239902496
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 15 substitutions.
Reduced LP has 3 rows, 15 columns, and 30 nonzeros.
Presolve time = 0.00 sec. (0.02 ticks)
LP solving time time = 0.00041829049587249756
 the time of baseline is  0.007438182830810547
 the baseline violation is  3.497202527569243e-15
 the cost after round is  4947274.931197339

 Our method
 the time of our method is 0.002230405807495117
 the our violation is  0.72
 the cost after round is  13714437




delta =  0.0
k =  8
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  5083955.414922777
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00014266278594732285
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0005699507892131805
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 26 substitutions.
Reduced LP has 8 rows, 35 columns, and 70 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =       1185643.776364
LP solving time time = 0.0004952019080519676
 the time of baseline is  0.023765087127685547
 the baseline violation is  2.220446049250313e-15
 the cost after round is  5083955.414922777

 Our method
 the time of our method is 0.003481626510620117
 the our violation is  1.01
 the cost after round is  14668406




delta =  0.0
k =  10
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4680889.737644662
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00012980494648218155
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0005287323147058487
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 17 rows and 13 columns.
Aggregator did 24 substitutions.
Reduced LP has 4 rows, 24 columns, and 48 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)

Iteration log . . .
Iteration:     1   Dual objective     =       1253555.125275
LP solving time time = 0.0004703989252448082
 the time of baseline is  0.007491111755371094
 the baseline violation is  1.7763568394002505e-15
 the cost after round is  4680889.737644662

 Our method
 the time of our method is 0.0032591819763183594
 the our violation is  1.04
 the cost after round is  13273304




delta =  0.0
k =  12
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4656871.666955191
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00012461747974157333
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0004760436713695526
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 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     =        804892.743297
LP solving time time = 0.00047703366726636887
 the time of baseline is  0.007031917572021484
 the baseline violation is  3.219646771412954e-15
 the cost after round is  4656871.666955191

 Our method
 the time of our method is 0.0032987594604492188
 the our violation is  0.9400000000000004
 the cost after round is  14528582




delta =  0.0
k =  14
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4493890.760006032
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.0001627150923013687
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0006429022178053856
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 19 rows and 14 columns.
Aggregator did 23 substitutions.
Reduced LP has 11 rows, 35 columns, and 76 nonzeros.
Presolve time = 0.00 sec. (0.05 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =       1386173.810956
LP solving time time = 0.0006117066368460655
 the time of baseline is  0.009174346923828125
 the baseline violation is  2.6645352591003757e-15
 the cost after round is  4493890.760006032

 Our method
 the time of our method is 0.0039005279541015625
 the our violation is  1.0
 the cost after round is  14269955




delta =  0.0
k =  16
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4599555.722734721
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.0001417696475982666
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0006069717928767204
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 18 substitutions.
Reduced LP has 11 rows, 35 columns, and 70 nonzeros.
Presolve time = 0.00 sec. (0.05 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual infeasibility =         52018.531110
Iteration:     6   Dual objective     =       1245022.949683
LP solving time time = 0.0005454597994685173
 the time of baseline is  0.008266448974609375
 the baseline violation is  3.1086244689504383e-15
 the cost after round is  4599555.722734721

 Our method
 the time of our method is 0.004052400588989258
 the our violation is  1.0200000000000005
 the cost after round is  15311394




delta =  0.0
k =  18
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4523041.366736843
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.000145680271089077
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0006192466244101524
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 16 rows and 11 columns.
Aggregator did 24 substitutions.
Reduced LP has 8 rows, 33 columns, and 66 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =       1190169.722342
LP solving time time = 0.000447775237262249
 the time of baseline is  0.00839996337890625
 the baseline violation is  2.55351295663786e-15
 the cost after round is  4523041.366736843

 Our method
 the time of our method is 0.004336118698120117
 the our violation is  0.8999999999999999
 the cost after round is  14426541




delta =  0.0
k =  20
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4430033.7540650815
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00015820562839508057
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0005984632298350334
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 17 rows and 13 columns.
Aggregator did 22 substitutions.
Reduced LP has 4 rows, 22 columns, and 44 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)

Iteration log . . .
Iteration:     1   Dual objective     =       1191781.462404
LP solving time time = 0.00045128166675567627
 the time of baseline is  0.008208274841308594
 the baseline violation is  2.220446049250313e-15
 the cost after round is  4430033.7540650815

 Our method
 the time of our method is 0.004099130630493164
 the our violation is  0.8999999999999999
 the cost after round is  14117545




delta =  0.0
k =  25
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4274716.730145481
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.0001713298261165619
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0006993310526013374
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 14 rows and 9 columns.
Aggregator did 25 substitutions.
Reduced LP has 7 rows, 31 columns, and 62 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =       1141178.401243
LP solving time time = 0.00048606470227241516
 the time of baseline is  0.009277820587158203
 the baseline violation is  2.6645352591003757e-15
 the cost after round is  4274716.730145481

 Our method
 the time of our method is 0.004857778549194336
 the our violation is  1.1
 the cost after round is  15079887




delta =  0.0
k =  30
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4262481.827573702
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00021842308342456818
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0008665798231959343
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 12 rows and 6 columns.
Aggregator did 36 substitutions.
Reduced LP has 7 rows, 39 columns, and 78 nonzeros.
Presolve time = 0.00 sec. (0.05 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =       1289564.872484
LP solving time time = 0.00048718228936195374
 the time of baseline is  0.011085271835327148
 the baseline violation is  3.552713678800501e-15
 the cost after round is  4262481.827573702

 Our method
 the time of our method is 0.0068035125732421875
 the our violation is  0.9
 the cost after round is  15175486




delta =  0.1
k =  2
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4962221.912306655
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 7.896497845649719e-05
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0003128480166196823
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 9 substitutions.
Reduced LP has 2 rows, 9 columns, and 18 nonzeros.
Presolve time = 0.00 sec. (0.01 ticks)

Iteration log . . .
Iteration:     1   Dual objective     =        259762.648576
LP solving time time = 0.0003804052248597145
 the time of baseline is  0.004568815231323242
 the baseline violation is  8.881784197001252e-16
 the cost after round is  4962221.912306655

 Our method
 the time of our method is 0.0014066696166992188
 the our violation is  0.38888888888888884
 the cost after round is  10805236




delta =  0.1
k =  4
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  5174327.460775954
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 8.961372077465057e-05
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0003561275079846382
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 5 rows, 24 columns, and 48 nonzeros.
Presolve time = 0.00 sec. (0.03 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =        539662.540700
LP solving time time = 0.00036322884261608124
 the time of baseline is  0.005708932876586914
 the baseline violation is  1.7763568394002505e-15
 the cost after round is  5174327.460775954

 Our method
 the time of our method is 0.0021393299102783203
 the our violation is  1.0500000000000007
 the cost after round is  11594401




delta =  0.1
k =  6
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4843283.601607301
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.0001064864918589592
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.00042556412518024445
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     =        582794.226188
LP solving time time = 0.00039576832205057144
 the time of baseline is  0.007318019866943359
 the baseline violation is  8.881784197001252e-16
 the cost after round is  4843283.601607301

 Our method
 the time of our method is 0.0027878284454345703
 the our violation is  0.9888888888888889
 the cost after round is  13264279




delta =  0.1
k =  8
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4558749.895368701
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00010835472494363785
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0004757912829518318
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 29 substitutions.
Reduced LP has 7 rows, 35 columns, and 70 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =       1025192.562076
LP solving time time = 0.0004031173884868622
 the time of baseline is  0.006869077682495117
 the baseline violation is  8.881784197001252e-16
 the cost after round is  4558749.895368701

 Our method
 the time of our method is 0.002668619155883789
 the our violation is  0.833333333333333
 the cost after round is  13926420




delta =  0.1
k =  10
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4300829.7227209415
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00012567546218633652
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0004956694319844246
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 20 substitutions.
Reduced LP has 6 rows, 26 columns, and 52 nonzeros.
Presolve time = 0.00 sec. (0.03 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =        554535.306926
LP solving time time = 0.0004690047353506088
 the time of baseline is  0.007015228271484375
 the baseline violation is  2.6645352591003757e-15
 the cost after round is  4300829.7227209415

 Our method
 the time of our method is 0.002993345260620117
 the our violation is  0.9666666666666663
 the cost after round is  15124125




delta =  0.1
k =  12
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4358000.817721107
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00012040510773658752
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0005356259644031525
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 25 substitutions.
Reduced LP has 8 rows, 35 columns, and 70 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =        956325.034428
LP solving time time = 0.0004084734246134758
 the time of baseline is  0.007345914840698242
 the baseline violation is  8.881784197001252e-16
 the cost after round is  4358000.817721107

 Our method
 the time of our method is 0.0033795833587646484
 the our violation is  0.9440000000000002
 the cost after round is  14664588




delta =  0.1
k =  14
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4355753.841618362
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.0001345667988061905
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0005540326237678528
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 11 rows and 6 columns.
Aggregator did 26 substitutions.
Reduced LP has 8 rows, 36 columns, and 72 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =        908749.139398
LP solving time time = 0.00041375309228897095
 the time of baseline is  0.007647991180419922
 the baseline violation is  1.3322676295501878e-15
 the cost after round is  4355753.841618362

 Our method
 the time of our method is 0.0035953521728515625
 the our violation is  0.9520000000000004
 the cost after round is  13569416




delta =  0.1
k =  16
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4398025.527478303
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.0002394476905465126
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0009470218792557716
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 9 rows and 4 columns.
Aggregator did 26 substitutions.
Reduced LP has 8 rows, 35 columns, and 70 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =        890592.091391
LP solving time time = 0.0006855567917227745
 the time of baseline is  0.030170202255249023
 the baseline violation is  2.220446049250313e-15
 the cost after round is  4398025.527478303

 Our method
 the time of our method is 0.006251811981201172
 the our violation is  0.9333333333333333
 the cost after round is  13648166




delta =  0.1
k =  18
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4135745.105491192
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.0001767091453075409
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0007608095183968544
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 10 rows and 3 columns.
Aggregator did 34 substitutions.
Reduced LP has 14 rows, 55 columns, and 110 nonzeros.
Presolve time = 0.00 sec. (0.06 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =       1374823.378254
LP solving time time = 0.000481288880109787
 the time of baseline is  0.009792804718017578
 the baseline violation is  8.881784197001252e-16
 the cost after round is  4135745.105491192

 Our method
 the time of our method is 0.00446629524230957
 the our violation is  0.9440000000000002
 the cost after round is  14356652




delta =  0.1
k =  20
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4259508.88603224
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00017495732754468918
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0007159169763326645
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 13 rows and 12 columns.
Aggregator did 31 substitutions.
Reduced LP has 10 rows, 39 columns, and 78 nonzeros.
Presolve time = 0.00 sec. (0.06 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual infeasibility =             0.000000
Iteration:     2   Dual objective     =       1204390.164872
LP solving time time = 0.0005155988037586212
 the time of baseline is  0.009709358215332031
 the baseline violation is  8.881784197001252e-16
 the cost after round is  4259508.88603224

 Our method
 the time of our method is 0.00436711311340332
 the our violation is  0.9111111111111111
 the cost after round is  15901905




delta =  0.1
k =  25
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4065232.968707309
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.0001539532095193863
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0006251819431781769
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 16 rows and 12 columns.
Aggregator did 18 substitutions.
Reduced LP has 7 rows, 27 columns, and 54 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =        959221.920447
LP solving time time = 0.0004376443102955818
 the time of baseline is  0.008768558502197266
 the baseline violation is  8.881784197001252e-16
 the cost after round is  4065232.968707309

 Our method
 the time of our method is 0.004860639572143555
 the our violation is  0.5750000000000002
 the cost after round is  15299030




delta =  0.1
k =  30
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4035468.1571042477
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00021534133702516556
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0008893599733710289
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 14 rows and 8 columns.
Aggregator did 37 substitutions.
Reduced LP has 8 rows, 43 columns, and 86 nonzeros.
Presolve time = 0.00 sec. (0.06 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =       1539401.963652
LP solving time time = 0.0004944466054439545
 the time of baseline is  0.011239767074584961
 the baseline violation is  4.440892098500626e-16
 the cost after round is  4035468.1571042477

 Our method
 the time of our method is 0.005868196487426758
 the our violation is  0.99
 the cost after round is  15241830




delta =  0.2
k =  2
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4562685.0496248
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 8.402951061725616e-05
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.000443105585873127
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)
LP solving time time = 0.0004449477419257164
 the time of baseline is  0.006533384323120117
 the baseline violation is  2.220446049250313e-15
 the cost after round is  4562685.0496248

 Our method
 the time of our method is 0.002007007598876953
 the our violation is  0.8499999999999996
 the cost after round is  10805236




delta =  0.2
k =  4
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4683443.804285225
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00011082552373409271
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.00041379593312740326
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)
LP solving time time = 0.00041732843965291977
 the time of baseline is  0.026081085205078125
 the baseline violation is  8.881784197001252e-16
 the cost after round is  4683443.804285225

 Our method
 the time of our method is 0.0033392906188964844
 the our violation is  0.8999999999999999
 the cost after round is  13971925




delta =  0.2
k =  6
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4577600.987359171
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00011467747390270233
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0004501398652791977
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 23 substitutions.
Reduced LP has 8 rows, 32 columns, and 64 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =        881003.796615
LP solving time time = 0.0004277201369404793
 the time of baseline is  0.006882190704345703
 the baseline violation is  1.7763568394002505e-15
 the cost after round is  4577600.987359171

 Our method
 the time of our method is 0.0026547908782958984
 the our violation is  0.8999999999999999
 the cost after round is  14865383




delta =  0.2
k =  8
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4233463.085507051
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00010135117918252945
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0004439251497387886
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 24 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     =        659100.488151
LP solving time time = 0.000385812483727932
 the time of baseline is  0.006349325180053711
 the baseline violation is  8.881784197001252e-16
 the cost after round is  4233463.085507051

 Our method
 the time of our method is 0.0028450489044189453
 the our violation is  0.875
 the cost after round is  13565608




delta =  0.2
k =  10
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4049992.330170106
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00011299457401037216
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0005062781274318695
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 11 rows and 6 columns.
Aggregator did 22 substitutions.
Reduced LP has 10 rows, 38 columns, and 76 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =        794933.862206
LP solving time time = 0.0004002731293439865
 the time of baseline is  0.0070192813873291016
 the baseline violation is  3.9968028886505635e-15
 the cost after round is  4049992.330170106

 Our method
 the time of our method is 0.0031402111053466797
 the our violation is  0.8320000000000001
 the cost after round is  14448890




delta =  0.2
k =  12
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4110547.110419933
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 9.893998503684998e-05
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.00042801350355148315
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 22 substitutions.
Reduced LP has 5 rows, 25 columns, and 50 nonzeros.
Presolve time = 0.00 sec. (0.03 ticks)
Initializing dual steep norms . . .
LP solving time time = 0.0003627566620707512
 the time of baseline is  0.0061991214752197266
 the baseline violation is  8.881784197001252e-16
 the cost after round is  4110547.110419933

 Our method
 the time of our method is 0.003348827362060547
 the our violation is  1.024
 the cost after round is  14261418




delta =  0.2
k =  14
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4016086.7537571047
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00011423882097005844
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0005207154899835587
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 24 substitutions.
Reduced LP has 9 rows, 37 columns, and 74 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =        707594.946901
LP solving time time = 0.00038386881351470947
 the time of baseline is  0.007039546966552734
 the baseline violation is  8.881784197001252e-16
 the cost after round is  4016086.7537571047

 Our method
 the time of our method is 0.0038275718688964844
 the our violation is  0.8480000000000001
 the cost after round is  14287458




delta =  0.2
k =  16
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  4086844.333199202
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.0001631239429116249
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.000615968368947506
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 11 rows and 6 columns.
Aggregator did 26 substitutions.
Reduced LP has 8 rows, 35 columns, and 70 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =        796113.321934
LP solving time time = 0.0005124686285853386
 the time of baseline is  0.008508920669555664
 the baseline violation is  8.881784197001252e-16
 the cost after round is  4086844.333199202

 Our method
 the time of our method is 0.0038509368896484375
 the our violation is  0.8625
 the cost after round is  14337262




delta =  0.2
k =  18
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  3945377.8342531957
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00017605070024728775
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0007220050320029259
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 10 rows and 3 columns.
Aggregator did 28 substitutions.
Reduced LP has 17 rows, 59 columns, and 118 nonzeros.
Presolve time = 0.00 sec. (0.06 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =       1031274.335054
LP solving time time = 0.0005064578726887703
 the time of baseline is  0.009702444076538086
 the baseline violation is  2.220446049250313e-16
 the cost after round is  3945377.8342531957

 Our method
 the time of our method is 0.004560947418212891
 the our violation is  0.8999999999999999
 the cost after round is  15371926




delta =  0.2
k =  20
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  3889646.5247206297
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.0001568235456943512
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0006361724808812141
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 19 rows and 14 columns.
Aggregator did 20 substitutions.
Reduced LP has 8 rows, 30 columns, and 60 nonzeros.
Presolve time = 0.00 sec. (0.04 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =       1105522.225804
LP solving time time = 0.0004942789673805237
 the time of baseline is  0.008741617202758789
 the baseline violation is  8.881784197001252e-16
 the cost after round is  3889646.5247206297

 Our method
 the time of our method is 0.004545927047729492
 the our violation is  0.875
 the cost after round is  15102074




delta =  0.2
k =  25
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  3856179.3452302865
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.0001960601657629013
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0008174870163202286
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 12 rows and 5 columns.
Aggregator did 28 substitutions.
Reduced LP has 16 rows, 56 columns, and 112 nonzeros.
Presolve time = 0.00 sec. (0.06 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =       1177702.288246
LP solving time time = 0.0005333293229341507
 the time of baseline is  0.01053929328918457
 the baseline violation is  1.3322676295501878e-15
 the cost after round is  3856179.3452302865

 Our method
 the time of our method is 0.0051784515380859375
 the our violation is  0.9600000000000002
 the cost after round is  14846944




delta =  0.2
k =  30
the size of clean data is  (100, 2)
the number of colors is 9
baseline cost
 the cost is  3799834.1421057647
0
Initializing Gurobi model
Initializing Cplex model
Starting to add variables...
Completed. Time for creating and adding variable = 0.00032268185168504715
Starting to add constraints...
Completed. Time for creating and adding constraints = 0.0013180756941437721
Version identifier: 22.1.1.0 | 2023-06-15 | d64d5bd77
CPXPARAM_Read_DataCheck                          1
Tried aggregator 1 time.
LP Presolve eliminated 18 rows and 10 columns.
Aggregator did 37 substitutions.
Reduced LP has 16 rows, 61 columns, and 122 nonzeros.
Presolve time = 0.00 sec. (0.07 ticks)
Initializing dual steep norms . . .

Iteration log . . .
Iteration:     1   Dual objective     =       1878647.451292
LP solving time time = 0.0006512682884931564
 the time of baseline is  0.03401446342468262
 the baseline violation is  8.881784197001252e-16
 the cost after round is  3799834.1421057647

 Our method
 the time of our method is 0.00922393798828125
 the our violation is  1.0000000000000002
 the cost after round is  14528996




