Is this IIS infeasible?
Awaiting user input
I'm solving a model with log constraints, and Gurobi tells me that the model is infeasible with the following IIS:
=======================================================
Minimize
0 gterm_S_mul_I[1,0,2,0]
Subject To
iniConstr_01_1_S_U[1,0]: 0.001 S_U[1,0] = 153.09
iniConstr_02_1_I_A[2,0]: 0.01 I_A[2,0] = 33.824
iniConstr_02_2_I_P[2,0]: 0.01 I_P[2,0] = 50.736
Constr1_12_I[2,0]: - I_P[2,0] - I_A[2,0] - I_S[2,0] + I[2,0] = 0
Constr_S[1,0,]: - S_U[1,0] + S_V_Plus[1,0] + gS[1,0] = 0
logConstr_Sum[1,0,2,0]: - gLogTerm_S[1,0] + gLogTerm_S_mul_I[1,0,2,0] - gLogTerm_I[2,0] = 0
Constr16[1,0,1]: - V[1,0] + S_V_Plus[1,0] = 0
Constr20[1]: V_scaled[2,0] + V_scaled[2,1] + V_scaled[2,2] + V_scaled[1,0] + V_scaled[1,1] + V_scaled[1,2] <= 0
constr20_1[1]: V[1,0] - V_scaled[1,0] = 0
Bounds
I_P[2,0] free
I_A[2,0] free
I[2,0] free
S_U[1,0] free
V[1,0] free
V_scaled[1,0] free
S_V_Plus[1,0] free
gS[1,0] free
gLogTerm_S[1,0] free
gterm_S_mul_I[1,0,2,0] free
gLogTerm_S_mul_I[1,0,2,0] free
gLogTerm_I[2,0] free
General Constraints
GC117: gLogTerm_S[1,0] = LOG ( gS[1,0] )
GC124: gLogTerm_I[2,0] = LOG ( I[2,0] )
GC125: gLogTerm_S_mul_I[1,0,2,0] =
LOG ( gterm_S_mul_I[1,0,2,0] )
End
============================================================
I've found that variables not listed as "free" have 0 lower bounds. But I couldn't figure out why this is IIS. Perhaps, some parts of this formulation make it infeasible. Any comments/advice will be highly appreciated.
Best regard,
EK
-
Hi Eunseok,
To investigate if your model s infeasible, please do the following:
1. Share the model so we can reproduce the above model, and/or
2. Output the above model using .mps format.
On the other hand, the article How do I determine why my model is infeasible contains useful information that may interest you.
0 -
Thanks for your comments. The output of .mps file is presented below (It's quite long):
I appreciate your help.
==============================================================================
NAME Gurobi Model
ROWS
N OBJ
E c0
E c1
E c2
E c3
E c4
E c5
E c6
E c7
E c8
E c9
E c10
E c11
E c12
E c13
E c14
E c15
E c16
E c17
E c18
E c19
E c20
E c21
E c22
E c23
E c24
E c25
E c26
E c27
E c28
E c29
E c30
E c31
E c32
E c33
E c34
E c35
E c36
E c37
E c38
E c39
E c40
E c41
E c42
E c43
E c44
E c45
E c46
E c47
E c48
E c49
E c50
E c51
E c52
E c53
E c54
E c55
E c56
E c57
E c58
E c59
E c60
E c61
E c62
E c63
E c64
E c65
E c66
E c67
E c68
E c69
E c70
E c71
E c72
E c73
E c74
E c75
E c76
E c77
E c78
E c79
E c80
E c81
E c82
E c83
E c84
E c85
E c86
E c87
E c88
E c89
E c90
E c91
E c92
E c93
E c94
E c95
E c96
E c97
E c98
E c99
E c100
E c101
E c102
E c103
E c104
E c105
E c106
E c107
E c108
E c109
E c110
E c111
E c112
E c113
E c114
E c115
E c116
E c117
E c118
E c119
E c120
E c121
E c122
E c123
E c124
E c125
E c126
E c127
E c128
E c129
E c130
E c131
E c132
E c133
E c134
E c135
E c136
E c137
E c138
E c139
E c140
E c141
E c142
E c143
E c144
E c145
E c146
E c147
E c148
E c149
E c150
E c151
E c152
E c153
E c154
E c155
E c156
E c157
E c158
E c159
E c160
E c161
E c162
E c163
E c164
E c165
E c166
E c167
E c168
E c169
E c170
E c171
E c172
E c173
E c174
E c175
E c176
E c177
E c178
E c179
E c180
E c181
E c182
E c183
E c184
E c185
E c186
E c187
E c188
E c189
E c190
E c191
E c192
E c193
E c194
E c195
E c196
E c197
E c198
E c199
E c200
E c201
E c202
E c203
E c204
E c205
E c206
E c207
E c208
E c209
E c210
E c211
E c212
E c213
E c214
E c215
E c216
E c217
E c218
E c219
E c220
E c221
E c222
E c223
E c224
E c225
E c226
E c227
E c228
E c229
E c230
E c231
E c232
E c233
E c234
E c235
E c236
E c237
E c238
E c239
E c240
E c241
E c242
E c243
E c244
E c245
E c246
E c247
E c248
E c249
E c250
E c251
E c252
E c253
E c254
E c255
E c256
E c257
E c258
E c259
E c260
E c261
E c262
E c263
E c264
E c265
E c266
E c267
E c268
E c269
E c270
E c271
E c272
E c273
E c274
E c275
E c276
E c277
E c278
E c279
E c280
E c281
E c282
E c283
E c284
E c285
E c286
E c287
E c288
E c289
E c290
E c291
E c292
E c293
E c294
E c295
E c296
E c297
E c298
E c299
E c300
E c301
E c302
E c303
E c304
E c305
E c306
E c307
E c308
E c309
E c310
E c311
E c312
E c313
E c314
E c315
E c316
E c317
E c318
E c319
E c320
E c321
E c322
E c323
E c324
E c325
E c326
E c327
E c328
E c329
E c330
E c331
E c332
E c333
E c334
E c335
E c336
E c337
E c338
E c339
E c340
E c341
E c342
E c343
E c344
E c345
E c346
E c347
E c348
E c349
E c350
E c351
E c352
E c353
E c354
E c355
E c356
E c357
E c358
E c359
E c360
E c361
E c362
E c363
E c364
E c365
E c366
E c367
E c368
E c369
E c370
E c371
E c372
E c373
E c374
E c375
E c376
E c377
E c378
E c379
E c380
E c381
E c382
E c383
E c384
E c385
E c386
E c387
E c388
E c389
E c390
E c391
E c392
E c393
E c394
E c395
E c396
E c397
E c398
E c399
E c400
E c401
E c402
E c403
E c404
E c405
E c406
E c407
E c408
E c409
E c410
E c411
E c412
E c413
E c414
E c415
E c416
E c417
E c418
E c419
E c420
E c421
E c422
E c423
E c424
E c425
E c426
E c427
E c428
E c429
E c430
E c431
E c432
E c433
E c434
E c435
E c436
E c437
E c438
E c439
E c440
E c441
E c442
E c443
E c444
E c445
E c446
E c447
E c448
E c449
E c450
E c451
E c452
E c453
E c454
E c455
E c456
E c457
E c458
E c459
E c460
E c461
E c462
E c463
E c464
E c465
E c466
E c467
E c468
E c469
E c470
E c471
E c472
E c473
E c474
E c475
E c476
E c477
E c478
E c479
E c480
E c481
E c482
E c483
E c484
E c485
E c486
E c487
E c488
E c489
E c490
E c491
E c492
E c493
E c494
E c495
E c496
E c497
E c498
E c499
E c500
E c501
E c502
E c503
E c504
E c505
E c506
E c507
E c508
E c509
E c510
E c511
E c512
E c513
E c514
E c515
E c516
E c517
E c518
E c519
E c520
E c521
E c522
E c523
E c524
E c525
E c526
E c527
E c528
E c529
E c530
E c531
E c532
E c533
E c534
E c535
E c536
E c537
E c538
E c539
E c540
E c541
E c542
E c543
E c544
E c545
E c546
E c547
E c548
E c549
E c550
E c551
E c552
E c553
E c554
E c555
E c556
E c557
E c558
E c559
E c560
E c561
E c562
E c563
E c564
E c565
E c566
E c567
E c568
E c569
E c570
E c571
E c572
E c573
E c574
E c575
E c576
E c577
E c578
E c579
E c580
E c581
E c582
E c583
E c584
E c585
E c586
E c587
E c588
E c589
E c590
E c591
E c592
E c593
E c594
E c595
E c596
E c597
E c598
E c599
E c600
E c601
E c602
E c603
E c604
E c605
E c606
E c607
E c608
E c609
E c610
E c611
E c612
E c613
E c614
E c615
E c616
E c617
E c618
E c619
E c620
E c621
E c622
E c623
E c624
E c625
E c626
E c627
E c628
E c629
E c630
E c631
E c632
E c633
E c634
E c635
E c636
E c637
E c638
E c639
E c640
E c641
E c642
E c643
E c644
E c645
E c646
E c647
E c648
E c649
E c650
E c651
E c652
E c653
E c654
E c655
E c656
E c657
E c658
E c659
E c660
E c661
E c662
E c663
E c664
E c665
E c666
E c667
E c668
E c669
E c670
E c671
E c672
E c673
E c674
E c675
E c676
E c677
E c678
E c679
E c680
E c681
E c682
E c683
E c684
E c685
E c686
E c687
E c688
E c689
E c690
E c691
E c692
E c693
E c694
E c695
E c696
E c697
E c698
E c699
E c700
E c701
E c702
E c703
E c704
E c705
E c706
E c707
E c708
E c709
E c710
E c711
E c712
E c713
E c714
E c715
E c716
E c717
E c718
E c719
E c720
E c721
E c722
E c723
E c724
E c725
L c726
L c727
L c728
L c729
L c730
L c731
L c732
L c733
L c734
L c735
L c736
L c737
L c738
L c739
L c740
L c741
L c742
L c743
L c744
L c745
L c746
L c747
L c748
L c749
L c750
L c751
L c752
L c753
L c754
L c755
L c756
L c757
L c758
L c759
L c760
L c761
L c762
L c763
L c764
E c765
E c766
E c767
E c768
E c769
E c770
E c771
E c772
E c773
E c774
E c775
E c776
E c777
E c778
E c779
E c780
E c781
E c782
L c783
L c784
L c785
E c786
E c787
E c788
E c789
E c790
E c791
E c792
E c793
E c794
E c795
E c796
E c797
E c798
E c799
E c800
E c801
E c802
E c803
E c804
E c805
E c806
E c807
E c808
E c809
E c810
E c811
E c812
E c813
E c814
E c815
E c816
E c817
E c818
E c819
E c820
E c821
COLUMNS
C0(5) c0 0.001
C0(5) c144 -1
C0(5) c366 -1
C0(5) c528 -1
C0(5) c726 -0.9671
C1(2) c12 1
C1(2) c162 -1
C2(2) c6 0.01
C2(2) c180 -1
C3(3) c24 0.01
C3(3) c198 -1
C3(3) c342 -1
C4(3) c18 0.01
C4(3) c216 -1
C4(3) c342 -1
C5(3) c30 1
C5(3) c234 -1
C5(3) c342 -1
C6(1) c342 1
C7(2) OBJ 820.75
C7(2) c78 1
C7(2) c252 -1
C8(2) c84 1
C8(2) c270 -1
C9(2) OBJ 42863.528
C9(2) c90 1
C9(2) c288 -1
C10(2) OBJ 9214
C10(2) c96 1
C10(2) c306 -1
C11(2) c102 1
C11(2) c324 -1
C12(3) c144 1
C12(3) c546 -0.4
C12(3) c564 -0.6
C13(2) c216 -1
C13(2) c546 1
C14(4) c198 -1
C14(4) c199 1
C14(4) c564 1
C14(4) c583 -1
C15(6) c234 -1
C15(6) c236 0.001
C15(6) c582 1
C15(6) c601 -7.8560000000000008e-01
C15(6) c619 -0.017
C15(6) c674 -0.001
C16(5) c234 1
C16(5) c252 -1
C16(5) c254 1
C16(5) c600 1
C16(5) c710 -1
C17(6) c234 1
C17(6) c270 -1
C17(6) c271 1
C17(6) c618 1
C17(6) c636 1
C17(6) c744 -1
C18(5) c288 -1
C18(5) c289 1
C18(5) c636 -1
C18(5) c673 -0.024
C18(5) c709 -0.976
C19(5) c306 -1
C19(5) c307 1
C19(5) c636 -1
C19(5) c654 1
C19(5) c709 -1
C20(4) c138 1
C20(4) c324 -1
C20(4) c672 1
C20(4) c804 1
C21(1) OBJ 1000
C21(1) c804 -10000
C22(3) OBJ 70
C22(3) c690 -1
C22(3) c726 1
C22(3) c765 1
C23(3) OBJ 3121
C23(3) c654 -1
C23(3) c744 1
C23(3) c786 1
C24(2) c762 1
C24(2) c765 -1
C25(0) OBJ 0
C26(2) c783 1
C26(2) c786 -1000
C27(1) c374 10000
C28(1) c528 1
C29(2) c373 10000
C29(2) c374 -1
C30(0) OBJ 0
C31(5) c144 1
C31(5) c145 -1
C31(5) c375 -1
C31(5) c529 -1
C31(5) c727 -0.9671
C32(2) c162 1
C32(2) c163 -1
C33(2) c180 1
C33(2) c181 -1
C34(3) c198 1
C34(3) c199 -1
C34(3) c343 -1
C35(3) c216 1
C35(3) c217 -1
C35(3) c343 -1
C36(3) c234 1
C36(3) c235 -1
C36(3) c343 -1
C37(1) c343 1
C38(2) OBJ 820.75
C38(2) c252 1
C38(2) c253 -1
C39(2) c270 1
C39(2) c271 -1
C40(2) OBJ 42863.528
C40(2) c288 1
C40(2) c289 -1
C41(2) OBJ 9214
C41(2) c306 1
C41(2) c307 -1
C42(2) c324 1
C42(2) c325 -1
C43(3) c145 1
C43(3) c547 -0.4
C43(3) c565 -0.6
C44(2) c217 -1
C44(2) c547 1
C45(4) c199 -1
C45(4) c200 1
C45(4) c565 1
C45(4) c584 -1
C46(4) c235 -1
C46(4) c583 1
C46(4) c602 -7.8560000000000008e-01
C46(4) c620 -0.017
C47(3) c235 1
C47(3) c253 -1
C47(3) c601 1
C48(6) c235 1
C48(6) c271 -1
C48(6) c272 1
C48(6) c619 1
C48(6) c637 1
C48(6) c745 -1
C49(5) c289 -1
C49(5) c290 1
C49(5) c637 -1
C49(5) c674 -0.024
C49(5) c710 -0.976
C50(5) c307 -1
C50(5) c308 1
C50(5) c637 -1
C50(5) c655 1
C50(5) c710 -1
C51(3) c325 -1
C51(3) c673 1
C51(3) c805 1
C52(1) OBJ 1000
C52(1) c805 -10000
C53(3) OBJ 70
C53(3) c691 -1
C53(3) c727 1
C53(3) c771 1
C54(3) OBJ 3121
C54(3) c655 -1
C54(3) c745 1
C54(3) c792 1
C55(2) c763 1
C55(2) c771 -1
C56(0) OBJ 0
C57(2) c784 1
C57(2) c792 -1000
C58(1) c383 10000
C59(1) c529 1
C60(2) c382 10000
C60(2) c383 -1
C61(0) OBJ 0
C62(5) c145 1
C62(5) c146 -1
C62(5) c384 -1
C62(5) c530 -1
C62(5) c728 -0.9671
C63(2) c163 1
C63(2) c164 -1
C64(2) c181 1
C64(2) c182 -1
C65(3) c199 1
C65(3) c200 -1
C65(3) c344 -1
C66(3) c217 1
C66(3) c218 -1
C66(3) c344 -1
C67(3) c235 1
C67(3) c236 -1
C67(3) c344 -1
C68(1) c344 1
C69(2) OBJ 820.75
C69(2) c253 1
C69(2) c254 -1
C70(2) c271 1
C70(2) c272 -1
C71(2) OBJ 42863.528
C71(2) c289 1
C71(2) c290 -1
C72(2) OBJ 9214
C72(2) c307 1
C72(2) c308 -1
C73(2) c325 1
C73(2) c326 -1
C74(3) c146 1
C74(3) c548 -0.4
C74(3) c566 -0.6
C75(2) c218 -1
C75(2) c548 1
C76(2) c200 -1
C76(2) c566 1
C77(2) c236 -1
C77(2) c584 1
C78(3) c236 1
C78(3) c254 -1
C78(3) c602 1
C79(5) c236 1
C79(5) c272 -1
C79(5) c620 1
C79(5) c638 1
C79(5) c746 -1
C80(2) c290 -1
C80(2) c638 -1
C81(3) c308 -1
C81(3) c638 -1
C81(3) c656 1
C82(3) c326 -1
C82(3) c674 1
C82(3) c806 1
C83(1) OBJ 1000
C83(1) c806 -10000
C84(3) OBJ 70
C84(3) c692 -1
C84(3) c728 1
C84(3) c777 1
C85(3) OBJ 3121
C85(3) c656 -1
C85(3) c746 1
C85(3) c798 1
C86(2) c764 1
C86(2) c777 -0.1
C87(0) OBJ 0
C88(2) c785 1
C88(2) c798 -1000
C89(1) c392 10000
C90(1) c530 1
C91(2) c391 10000
C91(2) c392 -1
C92(0) OBJ 0
C93(1) c146 1
C94(1) c164 1
C95(1) c182 1
C96(2) c200 1
C96(2) c345 -1
C97(2) c218 1
C97(2) c345 -1
C98(2) c236 1
C98(2) c345 -1
C99(1) c345 1
C100(1) OBJ 820.75
C100(1) c254 1
C101(1) c272 1
C102(1) OBJ 42863.528
C102(1) c290 1
C103(1) OBJ 9214
C103(1) c308 1
C104(1) c326 1
C105(0) OBJ 0
C106(0) OBJ 0
C107(0) OBJ 0
C108(0) OBJ 0
C109(0) OBJ 0
C110(0) OBJ 0
C111(0) OBJ 0
C112(0) OBJ 0
C113(0) OBJ 0
C114(0) OBJ 1000
C115(0) OBJ 70
C116(0) OBJ 3121
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C181(2) c787 -1000
C182(1) c401 1000
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C184(2) c400 10000
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C190(3) c219 1
C190(3) c220 -1
C190(3) c347 -1
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C191(3) c238 -1
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C193(2) c256 -1
C194(2) c273 1
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C204(5) c713 -0.9
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C205(6) c311 1
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C205(6) c677 -4.8000000000000008e-02
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C207(1) c808 -10000
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C212(2) c793 -1000
C213(1) c410 1000
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C215(2) c409 10000
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C217(5) c149 -1
C217(5) c411 -1
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C224(2) c257 -1
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C225(2) c275 -1
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C236(3) c641 -1
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C237(3) c809 1
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C238(1) c809 -10000
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C243(2) c799 -1000
C244(1) c419 1000
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C246(2) c418 10000
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C264(0) OBJ 0
C265(0) OBJ 0
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C294(2) c711 1
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C304(7) c239 1.8979999999999994e-01
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C309(4) c675 -4.8000000000000008e-02
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C310(5) c420 -1
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C314(3) c20 0.1
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C314(3) c350 -1
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C325(6) c607 -7.1520000000000006e-01
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C336(2) c788 -1000
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C339(2) c427 10000
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C348(2) c259 -1
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C349(2) c277 -1
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C360(6) c643 -1
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C362(1) c811 -10000
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C367(2) c794 -1000
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C370(2) c436 10000
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C379(2) c260 -1
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C380(2) c278 -1
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C384(3) c572 -0.6
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C389(5) c752 -1
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C390(2) c644 -1
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C391(3) c644 -1
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C392(3) c332 -1
C392(3) c680 1
C392(3) c812 1
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C393(1) c812 -10000
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C394(3) c698 -1
C394(3) c734 1
C394(3) c779 1
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C398(2) c800 -1000
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C401(2) c445 10000
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C404(1) c170 1
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C406(2) c353 -1
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C407(2) c353 -1
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C414(1) c332 1
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C416(0) OBJ 0
C417(0) OBJ 0
C418(0) OBJ 0
C419(0) OBJ 0
C420(0) OBJ 0
C421(0) OBJ 0
C422(0) OBJ 0
C423(0) OBJ 0
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C425(0) OBJ 70
C426(0) OBJ 3121
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C428(0) OBJ 0
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C438(0) OBJ 0
C439(0) OBJ 0
C440(0) OBJ 0
C441(0) OBJ 0
C442(0) OBJ 0
C443(0) OBJ 0
C444(0) OBJ 0
C445(0) OBJ 0
C446(0) OBJ 0
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C449(2) c714 1
C450(2) c187 -1
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C454(3) c714 -1
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C455(3) c715 -1
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C456(3) c716 -1
C457(3) c66 1
C457(3) c240 1.7879999999999996e-01
C457(3) c714 -1.7879999999999996e-01
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C458(5) c241 1.7879999999999996e-01
C458(5) c678 -0.032
C458(5) c715 -1.7879999999999996e-01
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C459(7) c242 1.7879999999999996e-01
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C459(7) c679 -0.032
C459(7) c716 -1.7879999999999996e-01
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C461(3) c259 1
C461(3) c715 -1
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C463(4) c294 1
C463(4) c678 -0.266
C463(4) c714 -0.734
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C464(4) c312 1
C464(4) c678 -2.1400000000000002e-01
C464(4) c714 -0.786
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C465(5) c447 -1
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C465(5) c735 -0.9637
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C483(5) c682 -0.024
C483(5) c718 -0.976
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C486(1) c813 -10000
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C487(3) c699 -1
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C487(3) c768 1
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C488(3) c663 -1
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C489(2) c768 -1
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C491(2) c783 1
C491(2) c789 -1000
C492(1) c455 1000
C493(1) c537 1
C494(2) c454 10000
C494(2) c455 -1
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C496(5) c154 -1
C496(5) c456 -1
C496(5) c538 -1
C496(5) c736 -0.9637
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C497(2) c172 -1
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C498(2) c190 -1
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C499(3) c208 -1
C499(3) c355 -1
C500(3) c225 1
C500(3) c226 -1
C500(3) c355 -1
C501(3) c243 1
C501(3) c244 -1
C501(3) c355 -1
C502(1) c355 1
C503(2) OBJ 820.75
C503(2) c261 1
C503(2) c262 -1
C504(2) c279 1
C504(2) c280 -1
C505(2) OBJ 42863.528
C505(2) c297 1
C505(2) c298 -1
C506(2) OBJ 9214
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C506(2) c316 -1
C507(2) c333 1
C507(2) c334 -1
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C508(3) c556 -0.4
C508(3) c574 -0.6
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C510(4) c209 1
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C510(4) c593 -1
C511(4) c244 -1
C511(4) c592 1
C511(4) c611 -7.8560000000000008e-01
C511(4) c629 -0.017
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C512(3) c262 -1
C512(3) c610 1
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C513(6) c280 -1
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C513(6) c628 1
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C513(6) c754 -1
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C514(5) c299 1
C514(5) c646 -1
C514(5) c683 -0.024
C514(5) c719 -0.976
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C515(5) c317 1
C515(5) c646 -1
C515(5) c664 1
C515(5) c719 -1
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C516(3) c682 1
C516(3) c814 1
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C517(1) c814 -10000
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C518(3) c700 -1
C518(3) c736 1
C518(3) c774 1
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C519(3) c664 -1
C519(3) c754 1
C519(3) c795 1
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C520(2) c774 -1
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C522(2) c784 1
C522(2) c795 -1000
C523(1) c464 1000
C524(1) c538 1
C525(2) c463 10000
C525(2) c464 -1
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C527(5) c155 -1
C527(5) c465 -1
C527(5) c539 -1
C527(5) c737 -0.9637
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C528(2) c173 -1
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C529(2) c191 -1
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C530(3) c209 -1
C530(3) c356 -1
C531(3) c226 1
C531(3) c227 -1
C531(3) c356 -1
C532(3) c244 1
C532(3) c245 -1
C532(3) c356 -1
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C534(2) OBJ 820.75
C534(2) c262 1
C534(2) c263 -1
C535(2) c280 1
C535(2) c281 -1
C536(2) OBJ 42863.528
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C536(2) c299 -1
C537(2) OBJ 9214
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C537(2) c317 -1
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C538(2) c335 -1
C539(3) c155 1
C539(3) c557 -0.4
C539(3) c575 -0.6
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C540(2) c557 1
C541(2) c209 -1
C541(2) c575 1
C542(2) c245 -1
C542(2) c593 1
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C543(3) c263 -1
C543(3) c611 1
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C544(5) c281 -1
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C544(5) c647 1
C544(5) c755 -1
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C545(2) c647 -1
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C546(3) c647 -1
C546(3) c665 1
C547(3) c335 -1
C547(3) c683 1
C547(3) c815 1
C548(1) OBJ 1000
C548(1) c815 -10000
C549(3) OBJ 70
C549(3) c701 -1
C549(3) c737 1
C549(3) c780 1
C550(3) OBJ 3121
C550(3) c665 -1
C550(3) c755 1
C550(3) c801 1
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C551(2) c780 -0.1
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C553(2) c785 1
C553(2) c801 -1000
C554(1) c473 1000
C555(1) c539 1
C556(2) c472 10000
C556(2) c473 -1
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C559(1) c173 1
C560(1) c191 1
C561(2) c209 1
C561(2) c357 -1
C562(2) c227 1
C562(2) c357 -1
C563(2) c245 1
C563(2) c357 -1
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C565(1) c263 1
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C567(1) OBJ 42863.528
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C568(1) OBJ 9214
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C569(1) c335 1
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C571(0) OBJ 0
C572(0) OBJ 0
C573(0) OBJ 0
C574(0) OBJ 0
C575(0) OBJ 0
C576(0) OBJ 0
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C578(0) OBJ 0
C579(0) OBJ 1000
C580(0) OBJ 70
C581(0) OBJ 3121
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C583(0) OBJ 0
C584(0) OBJ 0
C585(0) OBJ 0
C586(0) OBJ 0
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C589(5) c171 -1
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C589(5) c699 1
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C590(5) c172 -1
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C590(5) c700 1
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C591(5) c173 -1
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C591(5) c701 1
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C593(0) OBJ 0
C594(0) OBJ 0
C595(0) OBJ 0
C596(0) OBJ 0
C597(0) OBJ 0
C598(0) OBJ 0
C599(0) OBJ 0
C600(0) OBJ 0
C601(0) OBJ 0
C602(0) OBJ 0
C603(0) OBJ 0
C604(2) c189 -1
C604(2) c717 1
C605(2) c190 -1
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C608(3) c591 -1
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C609(3) c717 -1
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C610(3) c718 -1
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C611(3) c719 -1
C612(3) c69 1
C612(3) c243 1.9639999999999996e-01
C612(3) c717 -1.9639999999999996e-01
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C613(5) c243 0.001
C613(5) c244 1.9639999999999996e-01
C613(5) c681 -0.001
C613(5) c718 -1.9639999999999996e-01
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C614(7) c244 0.001
C614(7) c245 1.9639999999999996e-01
C614(7) c609 -7.8560000000000008e-01
C614(7) c627 -0.017
C614(7) c682 -0.001
C614(7) c719 -1.9639999999999996e-01
C615(3) c114 1
C615(3) c261 1
C615(3) c717 -1
C616(3) c115 1
C616(3) c262 1
C616(3) c718 -1
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C617(2) c279 1
C618(4) c129 1
C618(4) c297 1
C618(4) c681 -0.024
C618(4) c717 -0.976
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C619(3) c315 1
C619(3) c717 -1
C620(5) c4 0.01
C620(5) c156 -1
C620(5) c474 -1
C620(5) c540 -1
C620(5) c738 -0.9637
C621(2) c16 1
C621(2) c174 -1
C622(2) c10 0.01
C622(2) c192 -1
C623(3) c28 0.1
C623(3) c210 -1
C623(3) c358 -1
C624(3) c22 0.1
C624(3) c228 -1
C624(3) c358 -1
C625(3) c34 1
C625(3) c246 -1
C625(3) c358 -1
C626(1) c358 1
C627(2) OBJ 820.75
C627(2) c82 1
C627(2) c264 -1
C628(2) c88 1
C628(2) c282 -1
C629(2) OBJ 7.0210680000000008e+04
C629(2) c94 1
C629(2) c300 -1
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C630(2) c318 -1
C631(2) c106 1
C631(2) c336 -1
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C632(3) c558 -0.4
C632(3) c576 -0.6
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C633(2) c558 1
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C634(4) c576 1
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C635(6) c248 0.006
C635(6) c594 1
C635(6) c613 -0.7592
C635(6) c631 -0.045
C635(6) c686 -0.006
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C636(5) c264 -1
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C636(5) c612 1
C636(5) c722 -1
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C637(6) c282 -1
C637(6) c283 1
C637(6) c630 1
C637(6) c648 1
C637(6) c756 -1
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C638(5) c301 1
C638(5) c648 -1
C638(5) c685 -0.1
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C639(6) c319 1
C639(6) c648 -1
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C639(6) c685 -4.8000000000000008e-02
C639(6) c721 -0.952
C640(4) c142 1
C640(4) c336 -1
C640(4) c684 1
C640(4) c816 1
C641(1) OBJ 1000
C641(1) c816 -10000
C642(3) OBJ 70
C642(3) c702 -1
C642(3) c738 1
C642(3) c769 1
C643(3) OBJ 3121
C643(3) c666 -1
C643(3) c756 1
C643(3) c790 1
C644(2) c762 1
C644(2) c769 -1
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C646(2) c783 1
C646(2) c790 -1000
C647(1) c482 1000
C648(1) c540 1
C649(2) c481 10000
C649(2) c482 -1
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C651(5) c157 -1
C651(5) c483 -1
C651(5) c541 -1
C651(5) c739 -0.9637
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C652(2) c175 -1
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C653(2) c193 -1
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C654(3) c211 -1
C654(3) c359 -1
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C655(3) c229 -1
C655(3) c359 -1
C656(3) c246 1
C656(3) c247 -1
C656(3) c359 -1
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C658(2) OBJ 820.75
C658(2) c264 1
C658(2) c265 -1
C659(2) c282 1
C659(2) c283 -1
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C660(2) c301 -1
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C661(2) c319 -1
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C662(2) c337 -1
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C663(3) c559 -0.4
C663(3) c577 -0.6
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C665(4) c212 1
C665(4) c577 1
C665(4) c596 -1
C666(4) c247 -1
C666(4) c595 1
C666(4) c614 -0.7592
C666(4) c632 -0.045
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C667(3) c265 -1
C667(3) c613 1
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C668(6) c283 -1
C668(6) c284 1
C668(6) c631 1
C668(6) c649 1
C668(6) c757 -1
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C669(5) c302 1
C669(5) c649 -1
C669(5) c686 -0.1
C669(5) c722 -0.9
C670(6) c319 -1
C670(6) c320 1
C670(6) c649 -1
C670(6) c667 1
C670(6) c686 -4.8000000000000008e-02
C670(6) c722 -0.952
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C671(3) c685 1
C671(3) c817 1
C672(1) OBJ 1000
C672(1) c817 -10000
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C673(3) c703 -1
C673(3) c739 1
C673(3) c775 1
C674(3) OBJ 3121
C674(3) c667 -1
C674(3) c757 1
C674(3) c796 1
C675(2) c763 1
C675(2) c775 -1
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C677(2) c784 1
C677(2) c796 -1000
C678(1) c491 1000
C679(1) c541 1
C680(2) c490 10000
C680(2) c491 -1
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C682(5) c157 1
C682(5) c158 -1
C682(5) c492 -1
C682(5) c542 -1
C682(5) c740 -0.9637
C683(2) c175 1
C683(2) c176 -1
C684(2) c193 1
C684(2) c194 -1
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C685(3) c212 -1
C685(3) c360 -1
C686(3) c229 1
C686(3) c230 -1
C686(3) c360 -1
C687(3) c247 1
C687(3) c248 -1
C687(3) c360 -1
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C689(2) OBJ 820.75
C689(2) c265 1
C689(2) c266 -1
C690(2) c283 1
C690(2) c284 -1
C691(2) OBJ 7.0210680000000008e+04
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C691(2) c302 -1
C692(2) OBJ 2.4048539999999997e+04
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C692(2) c320 -1
C693(2) c337 1
C693(2) c338 -1
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C694(3) c560 -0.4
C694(3) c578 -0.6
C695(2) c230 -1
C695(2) c560 1
C696(2) c212 -1
C696(2) c578 1
C697(2) c248 -1
C697(2) c596 1
C698(3) c248 1
C698(3) c266 -1
C698(3) c614 1
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C699(5) c284 -1
C699(5) c632 1
C699(5) c650 1
C699(5) c758 -1
C700(2) c302 -1
C700(2) c650 -1
C701(3) c320 -1
C701(3) c650 -1
C701(3) c668 1
C702(3) c338 -1
C702(3) c686 1
C702(3) c818 1
C703(1) OBJ 1000
C703(1) c818 -10000
C704(3) OBJ 70
C704(3) c704 -1
C704(3) c740 1
C704(3) c781 1
C705(3) OBJ 3121
C705(3) c668 -1
C705(3) c758 1
C705(3) c802 1
C706(2) c764 1
C706(2) c781 -0.1
C707(0) OBJ 0
C708(2) c785 1
C708(2) c802 -1000
C709(1) c500 1000
C710(1) c542 1
C711(2) c499 10000
C711(2) c500 -1
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C713(1) c158 1
C714(1) c176 1
C715(1) c194 1
C716(2) c212 1
C716(2) c361 -1
C717(2) c230 1
C717(2) c361 -1
C718(2) c248 1
C718(2) c361 -1
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C720(1) OBJ 820.75
C720(1) c266 1
C721(1) c284 1
C722(1) OBJ 7.0210680000000008e+04
C722(1) c302 1
C723(1) OBJ 2.4048539999999997e+04
C723(1) c320 1
C724(1) c338 1
C725(0) OBJ 0
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C1091(6) c441 -1
C1091(6) c442 -1
C1091(6) c443 -1
C1091(6) c444 -1
C1092(1) c445 -1.0931431096477603e+01
C1093(1) c439 1
C1094(0) OBJ 0
C1095(1) c445 -2.6154072138459760e+01
C1096(1) c440 1
C1097(0) OBJ 0
C1098(1) c445 -79.8550658648664
C1099(1) c441 1
C1100(0) OBJ 0
C1101(1) c445 -2.5128322718209668e-03
C1102(1) c442 1
C1103(0) OBJ 0
C1104(1) c445 -8.3656222218707922e-03
C1105(1) c443 1
C1106(0) OBJ 0
C1107(1) c445 -4.7575313406735230e-03
C1108(1) c444 1
C1109(0) OBJ 0
C1110(1) c447 1
C1111(6) c448 -1
C1111(6) c449 -1
C1111(6) c450 -1
C1111(6) c451 -1
C1111(6) c452 -1
C1111(6) c453 -1
C1112(1) c454 -6.0551916473727069e+01
C1113(1) c448 1
C1114(0) OBJ 0
C1115(1) c454 -4.2392107683106175e+01
C1116(1) c449 1
C1117(0) OBJ 0
C1118(1) c454 -6.0848414696611428e+00
C1119(1) c450 1
C1120(0) OBJ 0
C1121(1) c454 -1.2495747368286941e-02
C1122(1) c451 1
C1123(0) OBJ 0
C1124(1) c454 -1.2238474452675905e-02
C1125(1) c452 1
C1126(0) OBJ 0
C1127(1) c454 -2.4780935332224035e-03
C1128(1) c453 1
C1129(0) OBJ 0
C1130(1) c456 1
C1131(6) c457 -1
C1131(6) c458 -1
C1131(6) c459 -1
C1131(6) c460 -1
C1131(6) c461 -1
C1131(6) c462 -1
C1132(1) c463 -6.1101175937823669e+01
C1133(1) c457 1
C1134(0) OBJ 0
C1135(1) c463 -4.3884855000139311e+01
C1136(1) c458 1
C1137(0) OBJ 0
C1138(1) c463 -6.1620856388144043e+00
C1139(1) c459 1
C1140(0) OBJ 0
C1141(1) c463 -1.2597825291157199e-02
C1142(1) c460 1
C1143(0) OBJ 0
C1144(1) c463 -1.2519430494739621e-02
C1145(1) c461 1
C1146(0) OBJ 0
C1147(1) c463 -2.5003485307865869e-03
C1148(1) c462 1
C1149(0) OBJ 0
C1150(1) c465 1
C1151(6) c466 -1
C1151(6) c467 -1
C1151(6) c468 -1
C1151(6) c469 -1
C1151(6) c470 -1
C1151(6) c471 -1
C1152(1) c472 -6.1380467745799017e+01
C1153(1) c466 1
C1154(0) OBJ 0
C1155(1) c472 -4.4893973245695761e+01
C1156(1) c467 1
C1157(0) OBJ 0
C1158(1) c472 -6.1996319000611830e+00
C1159(1) c468 1
C1160(0) OBJ 0
C1161(1) c472 -1.2666146499337342e-02
C1162(1) c469 1
C1163(0) OBJ 0
C1164(1) c472 -1.2671528106167021e-02
C1165(1) c470 1
C1166(0) OBJ 0
C1167(1) c472 -2.5128322718209668e-03
C1168(1) c471 1
C1169(0) OBJ 0
C1170(1) c474 1
C1171(6) c475 -1
C1171(6) c476 -1
C1171(6) c477 -1
C1171(6) c478 -1
C1171(6) c479 -1
C1171(6) c480 -1
C1172(1) c481 -4.2392107683106175e+01
C1173(1) c475 1
C1174(0) OBJ 0
C1175(1) c481 -1.8372361291009102e+02
C1176(1) c476 1
C1177(0) OBJ 0
C1178(1) c481 -1.5134261324470980e+01
C1179(1) c477 1
C1180(0) OBJ 0
C1181(1) c481 -1.0663714179243892e-02
C1182(1) c478 1
C1183(0) OBJ 0
C1184(1) c481 -2.8070917195520639e-02
C1185(1) c479 1
C1186(0) OBJ 0
C1187(1) c481 -7.9317732476490866e-03
C1188(1) c480 1
C1189(0) OBJ 0
C1190(1) c483 1
C1191(6) c484 -1
C1191(6) c485 -1
C1191(6) c486 -1
C1191(6) c487 -1
C1191(6) c488 -1
C1191(6) c489 -1
C1192(1) c490 -4.3884855000139311e+01
C1193(1) c484 1
C1194(0) OBJ 0
C1195(1) c490 -1.9411900409834948e+02
C1196(1) c485 1
C1197(0) OBJ 0
C1198(1) c490 -1.5790930468751565e+01
C1199(1) c486 1
C1200(0) OBJ 0
C1201(1) c490 -1.1008631223609658e-02
C1202(1) c487 1
C1203(0) OBJ 0
C1204(1) c490 -2.9568326263480785e-02
C1205(1) c488 1
C1206(0) OBJ 0
C1207(1) c490 -8.1879783125912518e-03
C1208(1) c489 1
C1209(0) OBJ 0
C1210(1) c492 1
C1211(6) c493 -1
C1211(6) c494 -1
C1211(6) c495 -1
C1211(6) c496 -1
C1211(6) c497 -1
C1211(6) c498 -1
C1212(1) c499 -4.4893973245695761e+01
C1213(1) c493 1
C1214(0) OBJ 0
C1215(1) c499 -2.0137464775766168e+02
C1216(1) c494 1
C1217(0) OBJ 0
C1218(1) c499 -1.6230053627886623e+01
C1219(1) c495 1
C1220(0) OBJ 0
C1221(1) c499 -1.1258400062981504e-02
C1222(1) c496 1
C1223(0) OBJ 0
C1224(1) c499 -3.0532931063994587e-02
C1225(1) c497 1
C1226(0) OBJ 0
C1227(1) c499 -8.3656222218707922e-03
C1228(1) c498 1
C1229(0) OBJ 0
C1230(1) c501 1
C1231(6) c502 -1
C1231(6) c503 -1
C1231(6) c504 -1
C1231(6) c505 -1
C1231(6) c506 -1
C1231(6) c507 -1
C1232(1) c508 -6.0848414696611428e+01
C1233(1) c502 1
C1234(6) c370 -1
C1234(6) c397 -1
C1234(6) c424 -1
C1234(6) c448 -1
C1234(6) c475 -1
C1234(6) c502 -1
C1235(1) c508 -1.5134261324470978e+02
C1236(1) c503 1
C1237(6) c371 -1
C1237(6) c398 -1
C1237(6) c425 -1
C1237(6) c449 -1
C1237(6) c476 -1
C1237(6) c503 -1
C1238(1) c508 -2.0399680490378492e+02
C1239(1) c504 1
C1240(6) c372 -1
C1240(6) c399 -1
C1240(6) c426 -1
C1240(6) c450 -1
C1240(6) c477 -1
C1240(6) c504 -1
C1241(1) c508 -1.1694286642295697e-02
C1242(1) c505 1
C1243(6) c367 -1
C1243(6) c394 -1
C1243(6) c421 -1
C1243(6) c451 -1
C1243(6) c478 -1
C1243(6) c505 -1
C1244(1) c508 -3.5189856999692237e-02
C1245(1) c506 1
C1246(6) c368 -1
C1246(6) c395 -1
C1246(6) c422 -1
C1246(6) c452 -1
C1246(6) c479 -1
C1246(6) c506 -1
C1247(1) c508 -4.6782351911400011e-02
C1248(1) c507 1
C1249(6) c369 -1
C1249(6) c396 -1
C1249(6) c423 -1
C1249(6) c453 -1
C1249(6) c480 -1
C1249(6) c507 -1
C1250(1) c510 1
C1251(6) c511 -1
C1251(6) c512 -1
C1251(6) c513 -1
C1251(6) c514 -1
C1251(6) c515 -1
C1251(6) c516 -1
C1252(1) c517 -6.1620856388144041e+01
C1253(1) c511 1
C1254(6) c379 -1
C1254(6) c406 -1
C1254(6) c433 -1
C1254(6) c457 -1
C1254(6) c484 -1
C1254(6) c511 -1
C1255(1) c517 -1.5790930468751566e+02
C1256(1) c512 1
C1257(6) c380 -1
C1257(6) c407 -1
C1257(6) c434 -1
C1257(6) c458 -1
C1257(6) c485 -1
C1257(6) c512 -1
C1258(1) c517 -2.0744499234472383e+02
C1259(1) c513 1
C1260(6) c381 -1
C1260(6) c408 -1
C1260(6) c435 -1
C1260(6) c459 -1
C1260(6) c486 -1
C1260(6) c513 -1
C1261(1) c517 -1.1795289197347807e-02
C1262(1) c514 1
C1263(6) c376 -1
C1263(6) c403 -1
C1263(6) c430 -1
C1263(6) c460 -1
C1263(6) c487 -1
C1263(6) c514 -1
C1264(1) c517 -3.6564416286029230e-02
C1265(1) c515 1
C1266(6) c377 -1
C1266(6) c404 -1
C1266(6) c431 -1
C1266(6) c461 -1
C1266(6) c488 -1
C1266(6) c515 -1
C1267(1) c517 -0.0472791571882079
C1268(1) c516 1
C1269(6) c378 -1
C1269(6) c405 -1
C1269(6) c432 -1
C1269(6) c462 -1
C1269(6) c489 -1
C1269(6) c516 -1
C1270(1) c519 1
C1271(6) c520 -1
C1271(6) c521 -1
C1271(6) c522 -1
C1271(6) c523 -1
C1271(6) c524 -1
C1271(6) c525 -1
C1272(1) c526 -6.1996319000611820e+01
C1273(1) c520 1
C1274(6) c388 -1
C1274(6) c415 -1
C1274(6) c442 -1
C1274(6) c466 -1
C1274(6) c493 -1
C1274(6) c520 -1
C1275(1) c526 -1.6230053627886622e+02
C1276(1) c521 1
C1277(6) c389 -1
C1277(6) c416 -1
C1277(6) c443 -1
C1277(6) c467 -1
C1277(6) c494 -1
C1277(6) c521 -1
C1278(1) c526 -2.0907288682875662e+02
C1279(1) c522 1
C1280(6) c390 -1
C1280(6) c417 -1
C1280(6) c444 -1
C1280(6) c468 -1
C1280(6) c495 -1
C1280(6) c522 -1
C1281(1) c526 -1.1875179273890615e-02
C1282(1) c523 1
C1283(6) c385 -1
C1283(6) c412 -1
C1283(6) c439 -1
C1283(6) c469 -1
C1283(6) c496 -1
C1283(6) c523 -1
C1284(1) c526 -3.7309682429589777e-02
C1285(1) c524 1
C1286(6) c386 -1
C1286(6) c413 -1
C1286(6) c440 -1
C1286(6) c470 -1
C1286(6) c497 -1
C1286(6) c524 -1
C1287(1) c526 -4.7575313406735230e-02
C1288(1) c525 1
C1289(6) c387 -1
C1289(6) c414 -1
C1289(6) c441 -1
C1289(6) c471 -1
C1289(6) c498 -1
C1289(6) c525 -1
RHS
RHS1 c0 336.95
RHS1 c1 107.384
RHS1 c2 808.17
RHS1 c3 153.09
RHS1 c4 559.48
RHS1 c5 444.57
RHS1 c6 130.29
RHS1 c7 36.72
RHS1 c8 21.53
RHS1 c9 49.49
RHS1 c10 19.63
RHS1 c11 15.36
RHS1 c18 33.824
RHS1 c19 9.6240000000000009e+01
RHS1 c20 51.92
RHS1 c21 10.052
RHS1 c22 39.4
RHS1 c23 2.6560000000000002e+01
RHS1 c24 50.736
RHS1 c25 14.436
RHS1 c26 77.88
RHS1 c27 15.078
RHS1 c28 59.1
RHS1 c29 3.9839999999999996e+01
RHS1 c38 33.824
RHS1 c41 9.6240000000000009e+01
RHS1 c44 51.92
RHS1 c47 10.052
RHS1 c50 39.4
RHS1 c53 2.6560000000000002e+01
RHS1 c54 50.736
RHS1 c55 14.436
RHS1 c56 77.88
RHS1 c57 15.078
RHS1 c58 59.1
RHS1 c59 3.9839999999999996e+01
RHS1 c764 3.0385220719643796e-01
RHS1 c783 0.3437
RHS1 c784 3.4320000000000006e-01
RHS1 c785 0.3458
BOUNDS
UP BND1 C0(5) 358435
UP BND1 C1(2) 358435
UP BND1 C2(2) 358435
UP BND1 C7(2) 358435
UP BND1 C8(2) 358435
UP BND1 C9(2) 358435
UP BND1 C10(2) 358435
UP BND1 C11(2) 358435
UP BND1 C13(2) 358435
UP BND1 C14(4) 358435
UP BND1 C15(6) 358435
UP BND1 C16(5) 358435
UP BND1 C17(6) 358435
UP BND1 C18(5) 358435
UP BND1 C19(5) 358435
UP BND1 C20(4) 358435
UP BND1 C21(1) 358435
UP BND1 C22(3) 358435
UP BND1 C23(3) 358435
UP BND1 C24(2) 358435
UP BND1 C25(0) 358435
UP BND1 C26(2) 358435
UP BND1 C28(1) 358435
UP BND1 C31(5) 358435
UP BND1 C32(2) 358435
UP BND1 C33(2) 358435
UP BND1 C38(2) 358435
UP BND1 C39(2) 358435
UP BND1 C40(2) 358435
UP BND1 C41(2) 358435
UP BND1 C42(2) 358435
UP BND1 C44(2) 358435
UP BND1 C45(4) 358435
UP BND1 C46(4) 358435
UP BND1 C47(3) 358435
UP BND1 C48(6) 358435
UP BND1 C49(5) 358435
UP BND1 C50(5) 358435
UP BND1 C51(3) 358435
UP BND1 C52(1) 358435
UP BND1 C53(3) 358435
UP BND1 C54(3) 358435
UP BND1 C55(2) 358435
UP BND1 C56(0) 358435
UP BND1 C57(2) 358435
UP BND1 C59(1) 358435
UP BND1 C62(5) 358435
UP BND1 C63(2) 358435
UP BND1 C64(2) 358435
UP BND1 C69(2) 358435
UP BND1 C70(2) 358435
UP BND1 C71(2) 358435
UP BND1 C72(2) 358435
UP BND1 C73(2) 358435
UP BND1 C75(2) 358435
UP BND1 C76(2) 358435
UP BND1 C77(2) 358435
UP BND1 C78(3) 358435
UP BND1 C79(5) 358435
UP BND1 C80(2) 358435
UP BND1 C81(3) 358435
UP BND1 C82(3) 358435
UP BND1 C83(1) 358435
UP BND1 C84(3) 358435
UP BND1 C85(3) 358435
UP BND1 C86(2) 358435
UP BND1 C87(0) 358435
UP BND1 C88(2) 358435
UP BND1 C90(1) 358435
UP BND1 C93(1) 358435
UP BND1 C94(1) 358435
UP BND1 C95(1) 358435
UP BND1 C100(1) 358435
UP BND1 C101(1) 358435
UP BND1 C102(1) 358435
UP BND1 C103(1) 358435
UP BND1 C104(1) 358435
UP BND1 C106(0) 358435
UP BND1 C107(0) 358435
UP BND1 C108(0) 358435
UP BND1 C109(0) 358435
UP BND1 C110(0) 358435
UP BND1 C111(0) 358435
UP BND1 C112(0) 358435
UP BND1 C113(0) 358435
UP BND1 C114(0) 358435
UP BND1 C115(0) 358435
UP BND1 C116(0) 358435
UP BND1 C117(0) 358435
UP BND1 C118(0) 358435
UP BND1 C119(0) 358435
UP BND1 C121(0) 358435
UP BND1 C124(5) 358435
UP BND1 C125(5) 358435
UP BND1 C126(5) 358435
UP BND1 C127(0) 358435
UP BND1 C128(0) 358435
UP BND1 C129(0) 358435
UP BND1 C130(0) 358435
UP BND1 C131(0) 358435
UP BND1 C132(0) 358435
UP BND1 C133(0) 358435
UP BND1 C134(0) 358435
UP BND1 C135(0) 358435
UP BND1 C136(0) 358435
UP BND1 C137(0) 358435
UP BND1 C138(0) 358435
UP BND1 C139(2) 358435
UP BND1 C140(2) 358435
UP BND1 C141(2) 358435
UP BND1 C142(0) 358435
UP BND1 C143(3) 358435
UP BND1 C144(3) 358435
UP BND1 C145(3) 358435
UP BND1 C146(3) 358435
UP BND1 C147(3) 358435
UP BND1 C148(5) 358435
UP BND1 C149(7) 358435
UP BND1 C150(3) 358435
UP BND1 C151(3) 358435
UP BND1 C152(2) 358435
UP BND1 C153(4) 358435
UP BND1 C154(3) 358435
UP BND1 C155(5) 113462
UP BND1 C156(2) 113462
UP BND1 C157(2) 113462
UP BND1 C162(2) 113462
UP BND1 C163(2) 113462
UP BND1 C164(2) 113462
UP BND1 C165(2) 113462
UP BND1 C166(2) 113462
UP BND1 C168(2) 113462
UP BND1 C169(4) 113462
UP BND1 C170(6) 113462
UP BND1 C171(5) 113462
UP BND1 C172(6) 113462
UP BND1 C173(5) 113462
UP BND1 C174(6) 113462
UP BND1 C175(4) 113462
UP BND1 C176(1) 113462
UP BND1 C177(3) 113462
UP BND1 C178(3) 113462
UP BND1 C179(2) 113462
UP BND1 C180(0) 113462
UP BND1 C181(2) 113462
UP BND1 C183(1) 113462
UP BND1 C186(5) 113462
UP BND1 C187(2) 113462
UP BND1 C188(2) 113462
UP BND1 C193(2) 113462
UP BND1 C194(2) 113462
UP BND1 C195(2) 113462
UP BND1 C196(2) 113462
UP BND1 C197(2) 113462
UP BND1 C199(2) 113462
UP BND1 C200(4) 113462
UP BND1 C201(4) 113462
UP BND1 C202(3) 113462
UP BND1 C203(6) 113462
UP BND1 C204(5) 113462
UP BND1 C205(6) 113462
UP BND1 C206(3) 113462
UP BND1 C207(1) 113462
UP BND1 C208(3) 113462
UP BND1 C209(3) 113462
UP BND1 C210(2) 113462
UP BND1 C211(0) 113462
UP BND1 C212(2) 113462
UP BND1 C214(1) 113462
UP BND1 C217(5) 113462
UP BND1 C218(2) 113462
UP BND1 C219(2) 113462
UP BND1 C224(2) 113462
UP BND1 C225(2) 113462
UP BND1 C226(2) 113462
UP BND1 C227(2) 113462
UP BND1 C228(2) 113462
UP BND1 C230(2) 113462
UP BND1 C231(2) 113462
UP BND1 C232(2) 113462
UP BND1 C233(3) 113462
UP BND1 C234(5) 113462
UP BND1 C235(2) 113462
UP BND1 C236(3) 113462
UP BND1 C237(3) 113462
UP BND1 C238(1) 113462
UP BND1 C239(3) 113462
UP BND1 C240(3) 113462
UP BND1 C241(2) 113462
UP BND1 C242(0) 113462
UP BND1 C243(2) 113462
UP BND1 C245(1) 113462
UP BND1 C248(1) 113462
UP BND1 C249(1) 113462
UP BND1 C250(1) 113462
UP BND1 C255(1) 113462
UP BND1 C256(1) 113462
UP BND1 C257(1) 113462
UP BND1 C258(1) 113462
UP BND1 C259(1) 113462
UP BND1 C261(0) 113462
UP BND1 C262(0) 113462
UP BND1 C263(0) 113462
UP BND1 C264(0) 113462
UP BND1 C265(0) 113462
UP BND1 C266(0) 113462
UP BND1 C267(0) 113462
UP BND1 C268(0) 113462
UP BND1 C269(0) 113462
UP BND1 C270(0) 113462
UP BND1 C271(0) 113462
UP BND1 C272(0) 113462
UP BND1 C273(0) 113462
UP BND1 C274(0) 113462
UP BND1 C276(0) 113462
UP BND1 C279(5) 113462
UP BND1 C280(5) 113462
UP BND1 C281(5) 113462
UP BND1 C282(0) 113462
UP BND1 C283(0) 113462
UP BND1 C284(0) 113462
UP BND1 C285(0) 113462
UP BND1 C286(0) 113462
UP BND1 C287(0) 113462
UP BND1 C288(0) 113462
UP BND1 C289(0) 113462
UP BND1 C290(0) 113462
UP BND1 C291(0) 113462
UP BND1 C292(0) 113462
UP BND1 C293(0) 113462
UP BND1 C294(2) 113462
UP BND1 C295(2) 113462
UP BND1 C296(2) 113462
UP BND1 C297(0) 113462
UP BND1 C298(3) 113462
UP BND1 C299(3) 113462
UP BND1 C300(3) 113462
UP BND1 C301(3) 113462
UP BND1 C302(3) 113462
UP BND1 C303(5) 113462
UP BND1 C304(7) 113462
UP BND1 C305(3) 113462
UP BND1 C306(3) 113462
UP BND1 C307(2) 113462
UP BND1 C308(4) 113462
UP BND1 C309(4) 113462
UP BND1 C310(5) 84268
UP BND1 C311(2) 84268
UP BND1 C312(2) 84268
UP BND1 C317(2) 84268
UP BND1 C318(2) 84268
UP BND1 C319(2) 84268
UP BND1 C320(2) 84268
UP BND1 C321(2) 84268
UP BND1 C323(2) 84268
UP BND1 C324(4) 84268
UP BND1 C325(6) 84268
UP BND1 C326(5) 84268
UP BND1 C327(6) 84268
UP BND1 C328(5) 84268
UP BND1 C329(6) 84268
UP BND1 C330(4) 84268
UP BND1 C331(1) 84268
UP BND1 C332(3) 84268
UP BND1 C333(3) 84268
UP BND1 C334(2) 84268
UP BND1 C335(0) 84268
UP BND1 C336(2) 84268
UP BND1 C338(1) 84268
UP BND1 C341(5) 84268
UP BND1 C342(2) 84268
UP BND1 C343(2) 84268
UP BND1 C348(2) 84268
UP BND1 C349(2) 84268
UP BND1 C350(2) 84268
UP BND1 C351(2) 84268
UP BND1 C352(2) 84268
UP BND1 C354(2) 84268
UP BND1 C355(4) 84268
UP BND1 C356(4) 84268
UP BND1 C357(3) 84268
UP BND1 C358(6) 84268
UP BND1 C359(5) 84268
UP BND1 C360(6) 84268
UP BND1 C361(3) 84268
UP BND1 C362(1) 84268
UP BND1 C363(3) 84268
UP BND1 C364(3) 84268
UP BND1 C365(2) 84268
UP BND1 C366(0) 84268
UP BND1 C367(2) 84268
UP BND1 C369(1) 84268
UP BND1 C372(5) 84268
UP BND1 C373(2) 84268
UP BND1 C374(2) 84268
UP BND1 C379(2) 84268
UP BND1 C380(2) 84268
UP BND1 C381(2) 84268
UP BND1 C382(2) 84268
UP BND1 C383(2) 84268
UP BND1 C385(2) 84268
UP BND1 C386(2) 84268
UP BND1 C387(2) 84268
UP BND1 C388(3) 84268
UP BND1 C389(5) 84268
UP BND1 C390(2) 84268
UP BND1 C391(3) 84268
UP BND1 C392(3) 84268
UP BND1 C393(1) 84268
UP BND1 C394(3) 84268
UP BND1 C395(3) 84268
UP BND1 C396(2) 84268
UP BND1 C397(0) 84268
UP BND1 C398(2) 84268
UP BND1 C400(1) 84268
UP BND1 C403(1) 84268
UP BND1 C404(1) 84268
UP BND1 C405(1) 84268
UP BND1 C410(1) 84268
UP BND1 C411(1) 84268
UP BND1 C412(1) 84268
UP BND1 C413(1) 84268
UP BND1 C414(1) 84268
UP BND1 C416(0) 84268
UP BND1 C417(0) 84268
UP BND1 C418(0) 84268
UP BND1 C419(0) 84268
UP BND1 C420(0) 84268
UP BND1 C421(0) 84268
UP BND1 C422(0) 84268
UP BND1 C423(0) 84268
UP BND1 C424(0) 84268
UP BND1 C425(0) 84268
UP BND1 C426(0) 84268
UP BND1 C427(0) 84268
UP BND1 C428(0) 84268
UP BND1 C429(0) 84268
UP BND1 C431(0) 84268
UP BND1 C434(5) 84268
UP BND1 C435(5) 84268
UP BND1 C436(5) 84268
UP BND1 C437(0) 84268
UP BND1 C438(0) 84268
UP BND1 C439(0) 84268
UP BND1 C440(0) 84268
UP BND1 C441(0) 84268
UP BND1 C442(0) 84268
UP BND1 C443(0) 84268
UP BND1 C444(0) 84268
UP BND1 C445(0) 84268
UP BND1 C446(0) 84268
UP BND1 C447(0) 84268
UP BND1 C448(0) 84268
UP BND1 C449(2) 84268
UP BND1 C450(2) 84268
UP BND1 C451(2) 84268
UP BND1 C452(0) 84268
UP BND1 C453(3) 84268
UP BND1 C454(3) 84268
UP BND1 C455(3) 84268
UP BND1 C456(3) 84268
UP BND1 C457(3) 84268
UP BND1 C458(5) 84268
UP BND1 C459(7) 84268
UP BND1 C460(3) 84268
UP BND1 C461(3) 84268
UP BND1 C462(2) 84268
UP BND1 C463(4) 84268
UP BND1 C464(4) 84268
UP BND1 C465(5) 160552
UP BND1 C466(2) 160552
UP BND1 C467(2) 160552
UP BND1 C472(2) 160552
UP BND1 C473(2) 160552
UP BND1 C474(2) 160552
UP BND1 C475(2) 160552
UP BND1 C476(2) 160552
UP BND1 C478(2) 160552
UP BND1 C479(4) 160552
UP BND1 C480(6) 160552
UP BND1 C481(5) 160552
UP BND1 C482(6) 160552
UP BND1 C483(5) 160552
UP BND1 C484(5) 160552
UP BND1 C485(4) 160552
UP BND1 C486(1) 160552
UP BND1 C487(3) 160552
UP BND1 C488(3) 160552
UP BND1 C489(2) 160552
UP BND1 C490(0) 160552
UP BND1 C491(2) 160552
UP BND1 C493(1) 160552
UP BND1 C496(5) 160552
UP BND1 C497(2) 160552
UP BND1 C498(2) 160552
UP BND1 C503(2) 160552
UP BND1 C504(2) 160552
UP BND1 C505(2) 160552
UP BND1 C506(2) 160552
UP BND1 C507(2) 160552
UP BND1 C509(2) 160552
UP BND1 C510(4) 160552
UP BND1 C511(4) 160552
UP BND1 C512(3) 160552
UP BND1 C513(6) 160552
UP BND1 C514(5) 160552
UP BND1 C515(5) 160552
UP BND1 C516(3) 160552
UP BND1 C517(1) 160552
UP BND1 C518(3) 160552
UP BND1 C519(3) 160552
UP BND1 C520(2) 160552
UP BND1 C521(0) 160552
UP BND1 C522(2) 160552
UP BND1 C524(1) 160552
UP BND1 C527(5) 160552
UP BND1 C528(2) 160552
UP BND1 C529(2) 160552
UP BND1 C534(2) 160552
UP BND1 C535(2) 160552
UP BND1 C536(2) 160552
UP BND1 C537(2) 160552
UP BND1 C538(2) 160552
UP BND1 C540(2) 160552
UP BND1 C541(2) 160552
UP BND1 C542(2) 160552
UP BND1 C543(3) 160552
UP BND1 C544(5) 160552
UP BND1 C545(2) 160552
UP BND1 C546(3) 160552
UP BND1 C547(3) 160552
UP BND1 C548(1) 160552
UP BND1 C549(3) 160552
UP BND1 C550(3) 160552
UP BND1 C551(2) 160552
UP BND1 C552(0) 160552
UP BND1 C553(2) 160552
UP BND1 C555(1) 160552
UP BND1 C558(1) 160552
UP BND1 C559(1) 160552
UP BND1 C560(1) 160552
UP BND1 C565(1) 160552
UP BND1 C566(1) 160552
UP BND1 C567(1) 160552
UP BND1 C568(1) 160552
UP BND1 C569(1) 160552
UP BND1 C571(0) 160552
UP BND1 C572(0) 160552
UP BND1 C573(0) 160552
UP BND1 C574(0) 160552
UP BND1 C575(0) 160552
UP BND1 C576(0) 160552
UP BND1 C577(0) 160552
UP BND1 C578(0) 160552
UP BND1 C579(0) 160552
UP BND1 C580(0) 160552
UP BND1 C581(0) 160552
UP BND1 C582(0) 160552
UP BND1 C583(0) 160552
UP BND1 C584(0) 160552
UP BND1 C586(0) 160552
UP BND1 C589(5) 160552
UP BND1 C590(5) 160552
UP BND1 C591(5) 160552
UP BND1 C592(0) 160552
UP BND1 C593(0) 160552
UP BND1 C594(0) 160552
UP BND1 C595(0) 160552
UP BND1 C596(0) 160552
UP BND1 C597(0) 160552
UP BND1 C598(0) 160552
UP BND1 C599(0) 160552
UP BND1 C600(0) 160552
UP BND1 C601(0) 160552
UP BND1 C602(0) 160552
UP BND1 C603(0) 160552
UP BND1 C604(2) 160552
UP BND1 C605(2) 160552
UP BND1 C606(2) 160552
UP BND1 C607(0) 160552
UP BND1 C608(3) 160552
UP BND1 C609(3) 160552
UP BND1 C610(3) 160552
UP BND1 C611(3) 160552
UP BND1 C612(3) 160552
UP BND1 C613(5) 160552
UP BND1 C614(7) 160552
UP BND1 C615(3) 160552
UP BND1 C616(3) 160552
UP BND1 C617(2) 160552
UP BND1 C618(4) 160552
UP BND1 C619(3) 160552
UP BND1 C620(5) 58896
UP BND1 C621(2) 58896
UP BND1 C622(2) 58896
UP BND1 C627(2) 58896
UP BND1 C628(2) 58896
UP BND1 C629(2) 58896
UP BND1 C630(2) 58896
UP BND1 C631(2) 58896
UP BND1 C633(2) 58896
UP BND1 C634(4) 58896
UP BND1 C635(6) 58896
UP BND1 C636(5) 58896
UP BND1 C637(6) 58896
UP BND1 C638(5) 58896
UP BND1 C639(6) 58896
UP BND1 C640(4) 58896
UP BND1 C641(1) 58896
UP BND1 C642(3) 58896
UP BND1 C643(3) 58896
UP BND1 C644(2) 58896
UP BND1 C645(0) 58896
UP BND1 C646(2) 58896
UP BND1 C648(1) 58896
UP BND1 C651(5) 58896
UP BND1 C652(2) 58896
UP BND1 C653(2) 58896
UP BND1 C658(2) 58896
UP BND1 C659(2) 58896
UP BND1 C660(2) 58896
UP BND1 C661(2) 58896
UP BND1 C662(2) 58896
UP BND1 C664(2) 58896
UP BND1 C665(4) 58896
UP BND1 C666(4) 58896
UP BND1 C667(3) 58896
UP BND1 C668(6) 58896
UP BND1 C669(5) 58896
UP BND1 C670(6) 58896
UP BND1 C671(3) 58896
UP BND1 C672(1) 58896
UP BND1 C673(3) 58896
UP BND1 C674(3) 58896
UP BND1 C675(2) 58896
UP BND1 C676(0) 58896
UP BND1 C677(2) 58896
UP BND1 C679(1) 58896
UP BND1 C682(5) 58896
UP BND1 C683(2) 58896
UP BND1 C684(2) 58896
UP BND1 C689(2) 58896
UP BND1 C690(2) 58896
UP BND1 C691(2) 58896
UP BND1 C692(2) 58896
UP BND1 C693(2) 58896
UP BND1 C695(2) 58896
UP BND1 C696(2) 58896
UP BND1 C697(2) 58896
UP BND1 C698(3) 58896
UP BND1 C699(5) 58896
UP BND1 C700(2) 58896
UP BND1 C701(3) 58896
UP BND1 C702(3) 58896
UP BND1 C703(1) 58896
UP BND1 C704(3) 58896
UP BND1 C705(3) 58896
UP BND1 C706(2) 58896
UP BND1 C707(0) 58896
UP BND1 C708(2) 58896
UP BND1 C710(1) 58896
UP BND1 C713(1) 58896
UP BND1 C714(1) 58896
UP BND1 C715(1) 58896
UP BND1 C720(1) 58896
UP BND1 C721(1) 58896
UP BND1 C722(1) 58896
UP BND1 C723(1) 58896
UP BND1 C724(1) 58896
UP BND1 C726(0) 58896
UP BND1 C727(0) 58896
UP BND1 C728(0) 58896
UP BND1 C729(0) 58896
UP BND1 C730(0) 58896
UP BND1 C731(0) 58896
UP BND1 C732(0) 58896
UP BND1 C733(0) 58896
UP BND1 C734(0) 58896
UP BND1 C735(0) 58896
UP BND1 C736(0) 58896
UP BND1 C737(0) 58896
UP BND1 C738(0) 58896
UP BND1 C739(0) 58896
UP BND1 C741(0) 58896
UP BND1 C744(5) 58896
UP BND1 C745(5) 58896
UP BND1 C746(5) 58896
UP BND1 C747(0) 58896
UP BND1 C748(0) 58896
UP BND1 C749(0) 58896
UP BND1 C750(0) 58896
UP BND1 C751(0) 58896
UP BND1 C752(0) 58896
UP BND1 C753(0) 58896
UP BND1 C754(0) 58896
UP BND1 C755(0) 58896
UP BND1 C756(0) 58896
UP BND1 C757(0) 58896
UP BND1 C758(0) 58896
UP BND1 C759(2) 58896
UP BND1 C760(2) 58896
UP BND1 C761(2) 58896
UP BND1 C762(0) 58896
UP BND1 C763(3) 58896
UP BND1 C764(3) 58896
UP BND1 C765(3) 58896
UP BND1 C766(3) 58896
UP BND1 C767(3) 58896
UP BND1 C768(5) 58896
UP BND1 C769(7) 58896
UP BND1 C770(3) 58896
UP BND1 C771(3) 58896
UP BND1 C772(2) 58896
UP BND1 C773(4) 58896
UP BND1 C774(4) 58896
UP BND1 C775(5) 46657
UP BND1 C776(2) 46657
UP BND1 C777(2) 46657
UP BND1 C782(2) 46657
UP BND1 C783(2) 46657
UP BND1 C784(2) 46657
UP BND1 C785(2) 46657
UP BND1 C786(2) 46657
UP BND1 C788(2) 46657
UP BND1 C789(4) 46657
UP BND1 C790(6) 46657
UP BND1 C791(5) 46657
UP BND1 C792(6) 46657
UP BND1 C793(5) 46657
UP BND1 C794(6) 46657
UP BND1 C795(4) 46657
UP BND1 C796(1) 46657
UP BND1 C797(3) 46657
UP BND1 C798(3) 46657
UP BND1 C799(2) 46657
UP BND1 C800(0) 46657
UP BND1 C801(2) 46657
UP BND1 C803(1) 46657
UP BND1 C806(5) 46657
UP BND1 C807(2) 46657
UP BND1 C808(2) 46657
UP BND1 C813(2) 46657
UP BND1 C814(2) 46657
UP BND1 C815(2) 46657
UP BND1 C816(2) 46657
UP BND1 C817(2) 46657
UP BND1 C819(2) 46657
UP BND1 C820(4) 46657
UP BND1 C821(4) 46657
UP BND1 C822(3) 46657
UP BND1 C823(6) 46657
UP BND1 C824(5) 46657
UP BND1 C825(6) 46657
UP BND1 C826(3) 46657
UP BND1 C827(1) 46657
UP BND1 C828(3) 46657
UP BND1 C829(3) 46657
UP BND1 C830(2) 46657
UP BND1 C831(0) 46657
UP BND1 C832(2) 46657
UP BND1 C834(1) 46657
UP BND1 C837(5) 46657
UP BND1 C838(2) 46657
UP BND1 C839(2) 46657
UP BND1 C844(2) 46657
UP BND1 C845(2) 46657
UP BND1 C846(2) 46657
UP BND1 C847(2) 46657
UP BND1 C848(2) 46657
UP BND1 C850(2) 46657
UP BND1 C851(2) 46657
UP BND1 C852(2) 46657
UP BND1 C853(3) 46657
UP BND1 C854(5) 46657
UP BND1 C855(2) 46657
UP BND1 C856(3) 46657
UP BND1 C857(3) 46657
UP BND1 C858(1) 46657
UP BND1 C859(3) 46657
UP BND1 C860(3) 46657
UP BND1 C861(2) 46657
UP BND1 C862(0) 46657
UP BND1 C863(2) 46657
UP BND1 C865(1) 46657
UP BND1 C868(1) 46657
UP BND1 C869(1) 46657
UP BND1 C870(1) 46657
UP BND1 C875(1) 46657
UP BND1 C876(1) 46657
UP BND1 C877(1) 46657
UP BND1 C878(1) 46657
UP BND1 C879(1) 46657
UP BND1 C881(0) 46657
UP BND1 C882(0) 46657
UP BND1 C883(0) 46657
UP BND1 C884(0) 46657
UP BND1 C885(0) 46657
UP BND1 C886(0) 46657
UP BND1 C887(0) 46657
UP BND1 C888(0) 46657
UP BND1 C889(0) 46657
UP BND1 C890(0) 46657
UP BND1 C891(0) 46657
UP BND1 C892(0) 46657
UP BND1 C893(0) 46657
UP BND1 C894(0) 46657
UP BND1 C896(0) 46657
UP BND1 C899(5) 46657
UP BND1 C900(5) 46657
UP BND1 C901(5) 46657
UP BND1 C902(0) 46657
UP BND1 C903(0) 46657
UP BND1 C904(0) 46657
UP BND1 C905(0) 46657
UP BND1 C906(0) 46657
UP BND1 C907(0) 46657
UP BND1 C908(0) 46657
UP BND1 C909(0) 46657
UP BND1 C910(0) 46657
UP BND1 C911(0) 46657
UP BND1 C912(0) 46657
UP BND1 C913(0) 46657
UP BND1 C914(2) 46657
UP BND1 C915(2) 46657
UP BND1 C916(2) 46657
UP BND1 C917(0) 46657
UP BND1 C918(3) 46657
UP BND1 C919(3) 46657
UP BND1 C920(3) 46657
UP BND1 C921(3) 46657
UP BND1 C922(3) 46657
UP BND1 C923(5) 46657
UP BND1 C924(7) 46657
UP BND1 C925(3) 46657
UP BND1 C926(3) 46657
UP BND1 C927(2) 46657
UP BND1 C928(4) 46657
UP BND1 C929(4) 46657
UP BND1 C930(1) 358435
MI BND1 C931(6)
UP BND1 C931(6) 358435
UP BND1 C932(1) 32118912306.25
MI BND1 C933(1)
UP BND1 C933(1) 358435
MI BND1 C934(0)
UP BND1 C934(0) 358435
UP BND1 C935(1) 32118912306.25
MI BND1 C936(1)
UP BND1 C936(1) 358435
MI BND1 C937(0)
UP BND1 C937(0) 358435
UP BND1 C938(1) 32118912306.25
MI BND1 C939(1)
UP BND1 C939(1) 358435
MI BND1 C940(0)
UP BND1 C940(0) 358435
FR BND1 C942(1)
MI BND1 C943(0)
UP BND1 C943(0) 358435
FR BND1 C945(1)
MI BND1 C946(0)
UP BND1 C946(0) 358435
FR BND1 C948(1)
MI BND1 C949(0)
UP BND1 C949(0) 358435
UP BND1 C950(1) 358435
MI BND1 C951(6)
UP BND1 C951(6) 358435
UP BND1 C952(1) 32118912306.25
MI BND1 C953(1)
UP BND1 C953(1) 358435
MI BND1 C954(0)
UP BND1 C954(0) 358435
UP BND1 C955(1) 32118912306.25
MI BND1 C956(1)
UP BND1 C956(1) 358435
MI BND1 C957(0)
UP BND1 C957(0) 358435
UP BND1 C958(1) 32118912306.25
MI BND1 C959(1)
UP BND1 C959(1) 358435
MI BND1 C960(0)
UP BND1 C960(0) 358435
FR BND1 C962(1)
MI BND1 C963(0)
UP BND1 C963(0) 358435
FR BND1 C965(1)
MI BND1 C966(0)
UP BND1 C966(0) 358435
FR BND1 C968(1)
MI BND1 C969(0)
UP BND1 C969(0) 358435
UP BND1 C970(1) 358435
MI BND1 C971(6)
UP BND1 C971(6) 358435
UP BND1 C972(1) 32118912306.25
MI BND1 C973(1)
UP BND1 C973(1) 358435
MI BND1 C974(0)
UP BND1 C974(0) 358435
UP BND1 C975(1) 32118912306.25
MI BND1 C976(1)
UP BND1 C976(1) 358435
MI BND1 C977(0)
UP BND1 C977(0) 358435
UP BND1 C978(1) 32118912306.25
MI BND1 C979(1)
UP BND1 C979(1) 358435
MI BND1 C980(0)
UP BND1 C980(0) 358435
FR BND1 C982(1)
MI BND1 C983(0)
UP BND1 C983(0) 358435
FR BND1 C985(1)
MI BND1 C986(0)
UP BND1 C986(0) 358435
FR BND1 C988(1)
MI BND1 C989(0)
UP BND1 C989(0) 358435
UP BND1 C990(1) 113462
MI BND1 C991(6)
UP BND1 C991(6) 113462
UP BND1 C992(1) 3218406361
MI BND1 C993(1)
UP BND1 C993(1) 113462
MI BND1 C994(0)
UP BND1 C994(0) 113462
UP BND1 C995(1) 3218406361
MI BND1 C996(1)
UP BND1 C996(1) 113462
MI BND1 C997(0)
UP BND1 C997(0) 113462
UP BND1 C998(1) 3218406361
MI BND1 C999(1)
UP BND1 C999(1) 113462
MI BND1 C1000(0)
UP BND1 C1000(0) 113462
FR BND1 C1002(1)
MI BND1 C1003(0)
UP BND1 C1003(0) 113462
FR BND1 C1005(1)
MI BND1 C1006(0)
UP BND1 C1006(0) 113462
FR BND1 C1008(1)
MI BND1 C1009(0)
UP BND1 C1009(0) 113462
UP BND1 C1010(1) 113462
MI BND1 C1011(6)
UP BND1 C1011(6) 113462
UP BND1 C1012(1) 3218406361
MI BND1 C1013(1)
UP BND1 C1013(1) 113462
MI BND1 C1014(0)
UP BND1 C1014(0) 113462
UP BND1 C1015(1) 3218406361
MI BND1 C1016(1)
UP BND1 C1016(1) 113462
MI BND1 C1017(0)
UP BND1 C1017(0) 113462
UP BND1 C1018(1) 3218406361
MI BND1 C1019(1)
UP BND1 C1019(1) 113462
MI BND1 C1020(0)
UP BND1 C1020(0) 113462
FR BND1 C1022(1)
MI BND1 C1023(0)
UP BND1 C1023(0) 113462
FR BND1 C1025(1)
MI BND1 C1026(0)
UP BND1 C1026(0) 113462
FR BND1 C1028(1)
MI BND1 C1029(0)
UP BND1 C1029(0) 113462
UP BND1 C1030(1) 113462
MI BND1 C1031(6)
UP BND1 C1031(6) 113462
UP BND1 C1032(1) 3218406361
MI BND1 C1033(1)
UP BND1 C1033(1) 113462
MI BND1 C1034(0)
UP BND1 C1034(0) 113462
UP BND1 C1035(1) 3218406361
MI BND1 C1036(1)
UP BND1 C1036(1) 113462
MI BND1 C1037(0)
UP BND1 C1037(0) 113462
UP BND1 C1038(1) 3218406361
MI BND1 C1039(1)
UP BND1 C1039(1) 113462
MI BND1 C1040(0)
UP BND1 C1040(0) 113462
FR BND1 C1042(1)
MI BND1 C1043(0)
UP BND1 C1043(0) 113462
FR BND1 C1045(1)
MI BND1 C1046(0)
UP BND1 C1046(0) 113462
FR BND1 C1048(1)
MI BND1 C1049(0)
UP BND1 C1049(0) 113462
UP BND1 C1050(1) 84268
MI BND1 C1051(6)
UP BND1 C1051(6) 84268
UP BND1 C1052(1) 1775273956
MI BND1 C1053(1)
UP BND1 C1053(1) 84268
MI BND1 C1054(0)
UP BND1 C1054(0) 84268
UP BND1 C1055(1) 1775273956
MI BND1 C1056(1)
UP BND1 C1056(1) 84268
MI BND1 C1057(0)
UP BND1 C1057(0) 84268
UP BND1 C1058(1) 1775273956
MI BND1 C1059(1)
UP BND1 C1059(1) 84268
MI BND1 C1060(0)
UP BND1 C1060(0) 84268
FR BND1 C1062(1)
MI BND1 C1063(0)
UP BND1 C1063(0) 84268
FR BND1 C1065(1)
MI BND1 C1066(0)
UP BND1 C1066(0) 84268
FR BND1 C1068(1)
MI BND1 C1069(0)
UP BND1 C1069(0) 84268
UP BND1 C1070(1) 84268
MI BND1 C1071(6)
UP BND1 C1071(6) 84268
UP BND1 C1072(1) 1775273956
MI BND1 C1073(1)
UP BND1 C1073(1) 84268
MI BND1 C1074(0)
UP BND1 C1074(0) 84268
UP BND1 C1075(1) 1775273956
MI BND1 C1076(1)
UP BND1 C1076(1) 84268
MI BND1 C1077(0)
UP BND1 C1077(0) 84268
UP BND1 C1078(1) 1775273956
MI BND1 C1079(1)
UP BND1 C1079(1) 84268
MI BND1 C1080(0)
UP BND1 C1080(0) 84268
FR BND1 C1082(1)
MI BND1 C1083(0)
UP BND1 C1083(0) 84268
FR BND1 C1085(1)
MI BND1 C1086(0)
UP BND1 C1086(0) 84268
FR BND1 C1088(1)
MI BND1 C1089(0)
UP BND1 C1089(0) 84268
UP BND1 C1090(1) 84268
MI BND1 C1091(6)
UP BND1 C1091(6) 84268
UP BND1 C1092(1) 1775273956
MI BND1 C1093(1)
UP BND1 C1093(1) 84268
MI BND1 C1094(0)
UP BND1 C1094(0) 84268
UP BND1 C1095(1) 1775273956
MI BND1 C1096(1)
UP BND1 C1096(1) 84268
MI BND1 C1097(0)
UP BND1 C1097(0) 84268
UP BND1 C1098(1) 1775273956
MI BND1 C1099(1)
UP BND1 C1099(1) 84268
MI BND1 C1100(0)
UP BND1 C1100(0) 84268
FR BND1 C1102(1)
MI BND1 C1103(0)
UP BND1 C1103(0) 84268
FR BND1 C1105(1)
MI BND1 C1106(0)
UP BND1 C1106(0) 84268
FR BND1 C1108(1)
MI BND1 C1109(0)
UP BND1 C1109(0) 84268
UP BND1 C1110(1) 160552
MI BND1 C1111(6)
UP BND1 C1111(6) 160552
UP BND1 C1112(1) 6444236176
MI BND1 C1113(1)
UP BND1 C1113(1) 160552
MI BND1 C1114(0)
UP BND1 C1114(0) 160552
UP BND1 C1115(1) 6444236176
MI BND1 C1116(1)
UP BND1 C1116(1) 160552
MI BND1 C1117(0)
UP BND1 C1117(0) 160552
UP BND1 C1118(1) 6444236176
MI BND1 C1119(1)
UP BND1 C1119(1) 160552
MI BND1 C1120(0)
UP BND1 C1120(0) 160552
FR BND1 C1122(1)
MI BND1 C1123(0)
UP BND1 C1123(0) 160552
FR BND1 C1125(1)
MI BND1 C1126(0)
UP BND1 C1126(0) 160552
FR BND1 C1128(1)
MI BND1 C1129(0)
UP BND1 C1129(0) 160552
UP BND1 C1130(1) 160552
MI BND1 C1131(6)
UP BND1 C1131(6) 160552
UP BND1 C1132(1) 6444236176
MI BND1 C1133(1)
UP BND1 C1133(1) 160552
MI BND1 C1134(0)
UP BND1 C1134(0) 160552
UP BND1 C1135(1) 6444236176
MI BND1 C1136(1)
UP BND1 C1136(1) 160552
MI BND1 C1137(0)
UP BND1 C1137(0) 160552
UP BND1 C1138(1) 6444236176
MI BND1 C1139(1)
UP BND1 C1139(1) 160552
MI BND1 C1140(0)
UP BND1 C1140(0) 160552
FR BND1 C1142(1)
MI BND1 C1143(0)
UP BND1 C1143(0) 160552
FR BND1 C1145(1)
MI BND1 C1146(0)
UP BND1 C1146(0) 160552
FR BND1 C1148(1)
MI BND1 C1149(0)
UP BND1 C1149(0) 160552
UP BND1 C1150(1) 160552
MI BND1 C1151(6)
UP BND1 C1151(6) 160552
UP BND1 C1152(1) 6444236176
MI BND1 C1153(1)
UP BND1 C1153(1) 160552
MI BND1 C1154(0)
UP BND1 C1154(0) 160552
UP BND1 C1155(1) 6444236176
MI BND1 C1156(1)
UP BND1 C1156(1) 160552
MI BND1 C1157(0)
UP BND1 C1157(0) 160552
UP BND1 C1158(1) 6444236176
MI BND1 C1159(1)
UP BND1 C1159(1) 160552
MI BND1 C1160(0)
UP BND1 C1160(0) 160552
FR BND1 C1162(1)
MI BND1 C1163(0)
UP BND1 C1163(0) 160552
FR BND1 C1165(1)
MI BND1 C1166(0)
UP BND1 C1166(0) 160552
FR BND1 C1168(1)
MI BND1 C1169(0)
UP BND1 C1169(0) 160552
UP BND1 C1170(1) 58896
MI BND1 C1171(6)
UP BND1 C1171(6) 58896
UP BND1 C1172(1) 867184704
MI BND1 C1173(1)
UP BND1 C1173(1) 58896
MI BND1 C1174(0)
UP BND1 C1174(0) 58896
UP BND1 C1175(1) 867184704
MI BND1 C1176(1)
UP BND1 C1176(1) 58896
MI BND1 C1177(0)
UP BND1 C1177(0) 58896
UP BND1 C1178(1) 867184704
MI BND1 C1179(1)
UP BND1 C1179(1) 58896
MI BND1 C1180(0)
UP BND1 C1180(0) 58896
FR BND1 C1182(1)
MI BND1 C1183(0)
UP BND1 C1183(0) 58896
FR BND1 C1185(1)
MI BND1 C1186(0)
UP BND1 C1186(0) 58896
FR BND1 C1188(1)
MI BND1 C1189(0)
UP BND1 C1189(0) 58896
UP BND1 C1190(1) 58896
MI BND1 C1191(6)
UP BND1 C1191(6) 58896
UP BND1 C1192(1) 867184704
MI BND1 C1193(1)
UP BND1 C1193(1) 58896
MI BND1 C1194(0)
UP BND1 C1194(0) 58896
UP BND1 C1195(1) 867184704
MI BND1 C1196(1)
UP BND1 C1196(1) 58896
MI BND1 C1197(0)
UP BND1 C1197(0) 58896
UP BND1 C1198(1) 867184704
MI BND1 C1199(1)
UP BND1 C1199(1) 58896
MI BND1 C1200(0)
UP BND1 C1200(0) 58896
FR BND1 C1202(1)
MI BND1 C1203(0)
UP BND1 C1203(0) 58896
FR BND1 C1205(1)
MI BND1 C1206(0)
UP BND1 C1206(0) 58896
FR BND1 C1208(1)
MI BND1 C1209(0)
UP BND1 C1209(0) 58896
UP BND1 C1210(1) 58896
MI BND1 C1211(6)
UP BND1 C1211(6) 58896
UP BND1 C1212(1) 867184704
MI BND1 C1213(1)
UP BND1 C1213(1) 58896
MI BND1 C1214(0)
UP BND1 C1214(0) 58896
UP BND1 C1215(1) 867184704
MI BND1 C1216(1)
UP BND1 C1216(1) 58896
MI BND1 C1217(0)
UP BND1 C1217(0) 58896
UP BND1 C1218(1) 867184704
MI BND1 C1219(1)
UP BND1 C1219(1) 58896
MI BND1 C1220(0)
UP BND1 C1220(0) 58896
FR BND1 C1222(1)
MI BND1 C1223(0)
UP BND1 C1223(0) 58896
FR BND1 C1225(1)
MI BND1 C1226(0)
UP BND1 C1226(0) 58896
FR BND1 C1228(1)
MI BND1 C1229(0)
UP BND1 C1229(0) 58896
UP BND1 C1230(1) 46657
MI BND1 C1231(6)
UP BND1 C1231(6) 46657
UP BND1 C1232(1) 544218912.25
MI BND1 C1233(1)
UP BND1 C1233(1) 46657
MI BND1 C1234(6)
UP BND1 C1234(6) 46657
UP BND1 C1235(1) 544218912.25
MI BND1 C1236(1)
UP BND1 C1236(1) 46657
MI BND1 C1237(6)
UP BND1 C1237(6) 46657
UP BND1 C1238(1) 544218912.25
MI BND1 C1239(1)
UP BND1 C1239(1) 46657
MI BND1 C1240(6)
UP BND1 C1240(6) 46657
FR BND1 C1242(1)
MI BND1 C1243(6)
UP BND1 C1243(6) 46657
FR BND1 C1245(1)
MI BND1 C1246(6)
UP BND1 C1246(6) 46657
FR BND1 C1248(1)
MI BND1 C1249(6)
UP BND1 C1249(6) 46657
UP BND1 C1250(1) 46657
MI BND1 C1251(6)
UP BND1 C1251(6) 46657
UP BND1 C1252(1) 544218912.25
MI BND1 C1253(1)
UP BND1 C1253(1) 46657
MI BND1 C1254(6)
UP BND1 C1254(6) 46657
UP BND1 C1255(1) 544218912.25
MI BND1 C1256(1)
UP BND1 C1256(1) 46657
MI BND1 C1257(6)
UP BND1 C1257(6) 46657
UP BND1 C1258(1) 544218912.25
MI BND1 C1259(1)
UP BND1 C1259(1) 46657
MI BND1 C1260(6)
UP BND1 C1260(6) 46657
FR BND1 C1262(1)
MI BND1 C1263(6)
UP BND1 C1263(6) 46657
FR BND1 C1265(1)
MI BND1 C1266(6)
UP BND1 C1266(6) 46657
FR BND1 C1268(1)
MI BND1 C1269(6)
UP BND1 C1269(6) 46657
UP BND1 C1270(1) 46657
MI BND1 C1271(6)
UP BND1 C1271(6) 46657
UP BND1 C1272(1) 544218912.25
MI BND1 C1273(1)
UP BND1 C1273(1) 46657
MI BND1 C1274(6)
UP BND1 C1274(6) 46657
UP BND1 C1275(1) 544218912.25
MI BND1 C1276(1)
UP BND1 C1276(1) 46657
MI BND1 C1277(6)
UP BND1 C1277(6) 46657
UP BND1 C1278(1) 544218912.25
MI BND1 C1279(1)
UP BND1 C1279(1) 46657
MI BND1 C1280(6)
UP BND1 C1280(6) 46657
FR BND1 C1282(1)
MI BND1 C1283(6)
UP BND1 C1283(6) 46657
FR BND1 C1285(1)
MI BND1 C1286(6)
UP BND1 C1286(6) 46657
FR BND1 C1288(1)
MI BND1 C1289(6)
UP BND1 C1289(6) 46657
GENCONS
LOG GC0
Options 0 0.01 0.001 -1
C930(1) C931(6)
LOG GC1
Options 0 0.01 0.001 -1
C6(1) C1243(6)
LOG GC2
Options 0 0.01 0.001 -1
C932(1) C933(1)
LOG GC3
Options 0 0.01 0.001 -1
C161(1) C1246(6)
LOG GC4
Options 0 0.01 0.001 -1
C935(1) C936(1)
LOG GC5
Options 0 0.01 0.001 -1
C316(1) C1249(6)
LOG GC6
Options 0 0.01 0.001 -1
C938(1) C939(1)
LOG GC7
Options 0 0.01 0.001 -1
C471(1) C1234(6)
LOG GC8
Options 0 0.01 0.001 -1
C941(1) C942(1)
LOG GC9
Options 0 0.01 0.001 -1
C626(1) C1237(6)
LOG GC10
Options 0 0.01 0.001 -1
C944(1) C945(1)
LOG GC11
Options 0 0.01 0.001 -1
C781(1) C1240(6)
LOG GC12
Options 0 0.01 0.001 -1
C947(1) C948(1)
LOG GC13
Options 0 0.01 0.001 -1
C950(1) C951(6)
LOG GC14
Options 0 0.01 0.001 -1
C37(1) C1263(6)
LOG GC15
Options 0 0.01 0.001 -1
C952(1) C953(1)
LOG GC16
Options 0 0.01 0.001 -1
C192(1) C1266(6)
LOG GC17
Options 0 0.01 0.001 -1
C955(1) C956(1)
LOG GC18
Options 0 0.01 0.001 -1
C347(1) C1269(6)
LOG GC19
Options 0 0.01 0.001 -1
C958(1) C959(1)
LOG GC20
Options 0 0.01 0.001 -1
C502(1) C1254(6)
LOG GC21
Options 0 0.01 0.001 -1
C961(1) C962(1)
LOG GC22
Options 0 0.01 0.001 -1
C657(1) C1257(6)
LOG GC23
Options 0 0.01 0.001 -1
C964(1) C965(1)
LOG GC24
Options 0 0.01 0.001 -1
C812(1) C1260(6)
LOG GC25
Options 0 0.01 0.001 -1
C967(1) C968(1)
LOG GC26
Options 0 0.01 0.001 -1
C970(1) C971(6)
LOG GC27
Options 0 0.01 0.001 -1
C68(1) C1283(6)
LOG GC28
Options 0 0.01 0.001 -1
C972(1) C973(1)
LOG GC29
Options 0 0.01 0.001 -1
C223(1) C1286(6)
LOG GC30
Options 0 0.01 0.001 -1
C975(1) C976(1)
LOG GC31
Options 0 0.01 0.001 -1
C378(1) C1289(6)
LOG GC32
Options 0 0.01 0.001 -1
C978(1) C979(1)
LOG GC33
Options 0 0.01 0.001 -1
C533(1) C1274(6)
LOG GC34
Options 0 0.01 0.001 -1
C981(1) C982(1)
LOG GC35
Options 0 0.01 0.001 -1
C688(1) C1277(6)
LOG GC36
Options 0 0.01 0.001 -1
C984(1) C985(1)
LOG GC37
Options 0 0.01 0.001 -1
C843(1) C1280(6)
LOG GC38
Options 0 0.01 0.001 -1
C987(1) C988(1)
LOG GC39
Options 0 0.01 0.001 -1
C990(1) C991(6)
LOG GC40
Options 0 0.01 0.001 -1
C6(1) C1243(6)
LOG GC41
Options 0 0.01 0.001 -1
C992(1) C993(1)
LOG GC42
Options 0 0.01 0.001 -1
C161(1) C1246(6)
LOG GC43
Options 0 0.01 0.001 -1
C995(1) C996(1)
LOG GC44
Options 0 0.01 0.001 -1
C316(1) C1249(6)
LOG GC45
Options 0 0.01 0.001 -1
C998(1) C999(1)
LOG GC46
Options 0 0.01 0.001 -1
C471(1) C1234(6)
LOG GC47
Options 0 0.01 0.001 -1
C1001(1) C1002(1)
LOG GC48
Options 0 0.01 0.001 -1
C626(1) C1237(6)
LOG GC49
Options 0 0.01 0.001 -1
C1004(1) C1005(1)
LOG GC50
Options 0 0.01 0.001 -1
C781(1) C1240(6)
LOG GC51
Options 0 0.01 0.001 -1
C1007(1) C1008(1)
LOG GC52
Options 0 0.01 0.001 -1
C1010(1) C1011(6)
LOG GC53
Options 0 0.01 0.001 -1
C37(1) C1263(6)
LOG GC54
Options 0 0.01 0.001 -1
C1012(1) C1013(1)
LOG GC55
Options 0 0.01 0.001 -1
C192(1) C1266(6)
LOG GC56
Options 0 0.01 0.001 -1
C1015(1) C1016(1)
LOG GC57
Options 0 0.01 0.001 -1
C347(1) C1269(6)
LOG GC58
Options 0 0.01 0.001 -1
C1018(1) C1019(1)
LOG GC59
Options 0 0.01 0.001 -1
C502(1) C1254(6)
LOG GC60
Options 0 0.01 0.001 -1
C1021(1) C1022(1)
LOG GC61
Options 0 0.01 0.001 -1
C657(1) C1257(6)
LOG GC62
Options 0 0.01 0.001 -1
C1024(1) C1025(1)
LOG GC63
Options 0 0.01 0.001 -1
C812(1) C1260(6)
LOG GC64
Options 0 0.01 0.001 -1
C1027(1) C1028(1)
LOG GC65
Options 0 0.01 0.001 -1
C1030(1) C1031(6)
LOG GC66
Options 0 0.01 0.001 -1
C68(1) C1283(6)
LOG GC67
Options 0 0.01 0.001 -1
C1032(1) C1033(1)
LOG GC68
Options 0 0.01 0.001 -1
C223(1) C1286(6)
LOG GC69
Options 0 0.01 0.001 -1
C1035(1) C1036(1)
LOG GC70
Options 0 0.01 0.001 -1
C378(1) C1289(6)
LOG GC71
Options 0 0.01 0.001 -1
C1038(1) C1039(1)
LOG GC72
Options 0 0.01 0.001 -1
C533(1) C1274(6)
LOG GC73
Options 0 0.01 0.001 -1
C1041(1) C1042(1)
LOG GC74
Options 0 0.01 0.001 -1
C688(1) C1277(6)
LOG GC75
Options 0 0.01 0.001 -1
C1044(1) C1045(1)
LOG GC76
Options 0 0.01 0.001 -1
C843(1) C1280(6)
LOG GC77
Options 0 0.01 0.001 -1
C1047(1) C1048(1)
LOG GC78
Options 0 0.01 0.001 -1
C1050(1) C1051(6)
LOG GC79
Options 0 0.01 0.001 -1
C6(1) C1243(6)
LOG GC80
Options 0 0.01 0.001 -1
C1052(1) C1053(1)
LOG GC81
Options 0 0.01 0.001 -1
C161(1) C1246(6)
LOG GC82
Options 0 0.01 0.001 -1
C1055(1) C1056(1)
LOG GC83
Options 0 0.01 0.001 -1
C316(1) C1249(6)
LOG GC84
Options 0 0.01 0.001 -1
C1058(1) C1059(1)
LOG GC85
Options 0 0.01 0.001 -1
C471(1) C1234(6)
LOG GC86
Options 0 0.01 0.001 -1
C1061(1) C1062(1)
LOG GC87
Options 0 0.01 0.001 -1
C626(1) C1237(6)
LOG GC88
Options 0 0.01 0.001 -1
C1064(1) C1065(1)
LOG GC89
Options 0 0.01 0.001 -1
C781(1) C1240(6)
LOG GC90
Options 0 0.01 0.001 -1
C1067(1) C1068(1)
LOG GC91
Options 0 0.01 0.001 -1
C1070(1) C1071(6)
LOG GC92
Options 0 0.01 0.001 -1
C37(1) C1263(6)
LOG GC93
Options 0 0.01 0.001 -1
C1072(1) C1073(1)
LOG GC94
Options 0 0.01 0.001 -1
C192(1) C1266(6)
LOG GC95
Options 0 0.01 0.001 -1
C1075(1) C1076(1)
LOG GC96
Options 0 0.01 0.001 -1
C347(1) C1269(6)
LOG GC97
Options 0 0.01 0.001 -1
C1078(1) C1079(1)
LOG GC98
Options 0 0.01 0.001 -1
C502(1) C1254(6)
LOG GC99
Options 0 0.01 0.001 -1
C1081(1) C1082(1)
LOG GC100
Options 0 0.01 0.001 -1
C657(1) C1257(6)
LOG GC101
Options 0 0.01 0.001 -1
C1084(1) C1085(1)
LOG GC102
Options 0 0.01 0.001 -1
C812(1) C1260(6)
LOG GC103
Options 0 0.01 0.001 -1
C1087(1) C1088(1)
LOG GC104
Options 0 0.01 0.001 -1
C1090(1) C1091(6)
LOG GC105
Options 0 0.01 0.001 -1
C68(1) C1283(6)
LOG GC106
Options 0 0.01 0.001 -1
C1092(1) C1093(1)
LOG GC107
Options 0 0.01 0.001 -1
C223(1) C1286(6)
LOG GC108
Options 0 0.01 0.001 -1
C1095(1) C1096(1)
LOG GC109
Options 0 0.01 0.001 -1
C378(1) C1289(6)
LOG GC110
Options 0 0.01 0.001 -1
C1098(1) C1099(1)
LOG GC111
Options 0 0.01 0.001 -1
C533(1) C1274(6)
LOG GC112
Options 0 0.01 0.001 -1
C1101(1) C1102(1)
LOG GC113
Options 0 0.01 0.001 -1
C688(1) C1277(6)
LOG GC114
Options 0 0.01 0.001 -1
C1104(1) C1105(1)
LOG GC115
Options 0 0.01 0.001 -1
C843(1) C1280(6)
LOG GC116
Options 0 0.01 0.001 -1
C1107(1) C1108(1)
LOG GC117
Options 0 0.01 0.001 -1
C1110(1) C1111(6)
LOG GC118
Options 0 0.01 0.001 -1
C471(1) C1234(6)
LOG GC119
Options 0 0.01 0.001 -1
C1112(1) C1113(1)
LOG GC120
Options 0 0.01 0.001 -1
C626(1) C1237(6)
LOG GC121
Options 0 0.01 0.001 -1
C1115(1) C1116(1)
LOG GC122
Options 0 0.01 0.001 -1
C781(1) C1240(6)
LOG GC123
Options 0 0.01 0.001 -1
C1118(1) C1119(1)
LOG GC124
Options 0 0.01 0.001 -1
C6(1) C1243(6)
LOG GC125
Options 0 0.01 0.001 -1
C1121(1) C1122(1)
LOG GC126
Options 0 0.01 0.001 -1
C161(1) C1246(6)
LOG GC127
Options 0 0.01 0.001 -1
C1124(1) C1125(1)
LOG GC128
Options 0 0.01 0.001 -1
C316(1) C1249(6)
LOG GC129
Options 0 0.01 0.001 -1
C1127(1) C1128(1)
LOG GC130
Options 0 0.01 0.001 -1
C1130(1) C1131(6)
LOG GC131
Options 0 0.01 0.001 -1
C502(1) C1254(6)
LOG GC132
Options 0 0.01 0.001 -1
C1132(1) C1133(1)
LOG GC133
Options 0 0.01 0.001 -1
C657(1) C1257(6)
LOG GC134
Options 0 0.01 0.001 -1
C1135(1) C1136(1)
LOG GC135
Options 0 0.01 0.001 -1
C812(1) C1260(6)
LOG GC136
Options 0 0.01 0.001 -1
C1138(1) C1139(1)
LOG GC137
Options 0 0.01 0.001 -1
C37(1) C1263(6)
LOG GC138
Options 0 0.01 0.001 -1
C1141(1) C1142(1)
LOG GC139
Options 0 0.01 0.001 -1
C192(1) C1266(6)
LOG GC140
Options 0 0.01 0.001 -1
C1144(1) C1145(1)
LOG GC141
Options 0 0.01 0.001 -1
C347(1) C1269(6)
LOG GC142
Options 0 0.01 0.001 -1
C1147(1) C1148(1)
LOG GC143
Options 0 0.01 0.001 -1
C1150(1) C1151(6)
LOG GC144
Options 0 0.01 0.001 -1
C533(1) C1274(6)
LOG GC145
Options 0 0.01 0.001 -1
C1152(1) C1153(1)
LOG GC146
Options 0 0.01 0.001 -1
C688(1) C1277(6)
LOG GC147
Options 0 0.01 0.001 -1
C1155(1) C1156(1)
LOG GC148
Options 0 0.01 0.001 -1
C843(1) C1280(6)
LOG GC149
Options 0 0.01 0.001 -1
C1158(1) C1159(1)
LOG GC150
Options 0 0.01 0.001 -1
C68(1) C1283(6)
LOG GC151
Options 0 0.01 0.001 -1
C1161(1) C1162(1)
LOG GC152
Options 0 0.01 0.001 -1
C223(1) C1286(6)
LOG GC153
Options 0 0.01 0.001 -1
C1164(1) C1165(1)
LOG GC154
Options 0 0.01 0.001 -1
C378(1) C1289(6)
LOG GC155
Options 0 0.01 0.001 -1
C1167(1) C1168(1)
LOG GC156
Options 0 0.01 0.001 -1
C1170(1) C1171(6)
LOG GC157
Options 0 0.01 0.001 -1
C471(1) C1234(6)
LOG GC158
Options 0 0.01 0.001 -1
C1172(1) C1173(1)
LOG GC159
Options 0 0.01 0.001 -1
C626(1) C1237(6)
LOG GC160
Options 0 0.01 0.001 -1
C1175(1) C1176(1)
LOG GC161
Options 0 0.01 0.001 -1
C781(1) C1240(6)
LOG GC162
Options 0 0.01 0.001 -1
C1178(1) C1179(1)
LOG GC163
Options 0 0.01 0.001 -1
C6(1) C1243(6)
LOG GC164
Options 0 0.01 0.001 -1
C1181(1) C1182(1)
LOG GC165
Options 0 0.01 0.001 -1
C161(1) C1246(6)
LOG GC166
Options 0 0.01 0.001 -1
C1184(1) C1185(1)
LOG GC167
Options 0 0.01 0.001 -1
C316(1) C1249(6)
LOG GC168
Options 0 0.01 0.001 -1
C1187(1) C1188(1)
LOG GC169
Options 0 0.01 0.001 -1
C1190(1) C1191(6)
LOG GC170
Options 0 0.01 0.001 -1
C502(1) C1254(6)
LOG GC171
Options 0 0.01 0.001 -1
C1192(1) C1193(1)
LOG GC172
Options 0 0.01 0.001 -1
C657(1) C1257(6)
LOG GC173
Options 0 0.01 0.001 -1
C1195(1) C1196(1)
LOG GC174
Options 0 0.01 0.001 -1
C812(1) C1260(6)
LOG GC175
Options 0 0.01 0.001 -1
C1198(1) C1199(1)
LOG GC176
Options 0 0.01 0.001 -1
C37(1) C1263(6)
LOG GC177
Options 0 0.01 0.001 -1
C1201(1) C1202(1)
LOG GC178
Options 0 0.01 0.001 -1
C192(1) C1266(6)
LOG GC179
Options 0 0.01 0.001 -1
C1204(1) C1205(1)
LOG GC180
Options 0 0.01 0.001 -1
C347(1) C1269(6)
LOG GC181
Options 0 0.01 0.001 -1
C1207(1) C1208(1)
LOG GC182
Options 0 0.01 0.001 -1
C1210(1) C1211(6)
LOG GC183
Options 0 0.01 0.001 -1
C533(1) C1274(6)
LOG GC184
Options 0 0.01 0.001 -1
C1212(1) C1213(1)
LOG GC185
Options 0 0.01 0.001 -1
C688(1) C1277(6)
LOG GC186
Options 0 0.01 0.001 -1
C1215(1) C1216(1)
LOG GC187
Options 0 0.01 0.001 -1
C843(1) C1280(6)
LOG GC188
Options 0 0.01 0.001 -1
C1218(1) C1219(1)
LOG GC189
Options 0 0.01 0.001 -1
C68(1) C1283(6)
LOG GC190
Options 0 0.01 0.001 -1
C1221(1) C1222(1)
LOG GC191
Options 0 0.01 0.001 -1
C223(1) C1286(6)
LOG GC192
Options 0 0.01 0.001 -1
C1224(1) C1225(1)
LOG GC193
Options 0 0.01 0.001 -1
C378(1) C1289(6)
LOG GC194
Options 0 0.01 0.001 -1
C1227(1) C1228(1)
LOG GC195
Options 0 0.01 0.001 -1
C1230(1) C1231(6)
LOG GC196
Options 0 0.01 0.001 -1
C471(1) C1234(6)
LOG GC197
Options 0 0.01 0.001 -1
C1232(1) C1233(1)
LOG GC198
Options 0 0.01 0.001 -1
C626(1) C1237(6)
LOG GC199
Options 0 0.01 0.001 -1
C1235(1) C1236(1)
LOG GC200
Options 0 0.01 0.001 -1
C781(1) C1240(6)
LOG GC201
Options 0 0.01 0.001 -1
C1238(1) C1239(1)
LOG GC202
Options 0 0.01 0.001 -1
C6(1) C1243(6)
LOG GC203
Options 0 0.01 0.001 -1
C1241(1) C1242(1)
LOG GC204
Options 0 0.01 0.001 -1
C161(1) C1246(6)
LOG GC205
Options 0 0.01 0.001 -1
C1244(1) C1245(1)
LOG GC206
Options 0 0.01 0.001 -1
C316(1) C1249(6)
LOG GC207
Options 0 0.01 0.001 -1
C1247(1) C1248(1)
LOG GC208
Options 0 0.01 0.001 -1
C1250(1) C1251(6)
LOG GC209
Options 0 0.01 0.001 -1
C502(1) C1254(6)
LOG GC210
Options 0 0.01 0.001 -1
C1252(1) C1253(1)
LOG GC211
Options 0 0.01 0.001 -1
C657(1) C1257(6)
LOG GC212
Options 0 0.01 0.001 -1
C1255(1) C1256(1)
LOG GC213
Options 0 0.01 0.001 -1
C812(1) C1260(6)
LOG GC214
Options 0 0.01 0.001 -1
C1258(1) C1259(1)
LOG GC215
Options 0 0.01 0.001 -1
C37(1) C1263(6)
LOG GC216
Options 0 0.01 0.001 -1
C1261(1) C1262(1)
LOG GC217
Options 0 0.01 0.001 -1
C192(1) C1266(6)
LOG GC218
Options 0 0.01 0.001 -1
C1264(1) C1265(1)
LOG GC219
Options 0 0.01 0.001 -1
C347(1) C1269(6)
LOG GC220
Options 0 0.01 0.001 -1
C1267(1) C1268(1)
LOG GC221
Options 0 0.01 0.001 -1
C1270(1) C1271(6)
LOG GC222
Options 0 0.01 0.001 -1
C533(1) C1274(6)
LOG GC223
Options 0 0.01 0.001 -1
C1272(1) C1273(1)
LOG GC224
Options 0 0.01 0.001 -1
C688(1) C1277(6)
LOG GC225
Options 0 0.01 0.001 -1
C1275(1) C1276(1)
LOG GC226
Options 0 0.01 0.001 -1
C843(1) C1280(6)
LOG GC227
Options 0 0.01 0.001 -1
C1278(1) C1279(1)
LOG GC228
Options 0 0.01 0.001 -1
C68(1) C1283(6)
LOG GC229
Options 0 0.01 0.001 -1
C1281(1) C1282(1)
LOG GC230
Options 0 0.01 0.001 -1
C223(1) C1286(6)
LOG GC231
Options 0 0.01 0.001 -1
C1284(1) C1285(1)
LOG GC232
Options 0 0.01 0.001 -1
C378(1) C1289(6)
LOG GC233
Options 0 0.01 0.001 -1
C1287(1) C1288(1)
MIN Constr2[10003,0,1]
C12(3)
C27(1)
C28(1)
MIN Constr2[10003,0,2]
C43(3)
C58(1)
C59(1)
MIN Constr2[10003,0,3]
C74(3)
C89(1)
C90(1)
MIN Constr2[10003,1,1]
C167(3)
C182(1)
C183(1)
MIN Constr2[10003,1,2]
C198(3)
C213(1)
C214(1)
MIN Constr2[10003,1,3]
C229(3)
C244(1)
C245(1)
MIN Constr2[10003,2,1]
C322(3)
C337(1)
C338(1)
MIN Constr2[10003,2,2]
C353(3)
C368(1)
C369(1)
MIN Constr2[10003,2,3]
C384(3)
C399(1)
C400(1)
MIN Constr2[34001,0,1]
C477(3)
C492(1)
C493(1)
MIN Constr2[34001,0,2]
C508(3)
C523(1)
C524(1)
MIN Constr2[34001,0,3]
C539(3)
C554(1)
C555(1)
MIN Constr2[34001,1,1]
C632(3)
C647(1)
C648(1)
MIN Constr2[34001,1,2]
C663(3)
C678(1)
C679(1)
MIN Constr2[34001,1,3]
C694(3)
C709(1)
C710(1)
MIN Constr2[34001,2,1]
C787(3)
C802(1)
C803(1)
MIN Constr2[34001,2,2]
C818(3)
C833(1)
C834(1)
MIN Constr2[34001,2,3]
C849(3)
C864(1)
C865(1)
ENDATA0 -
Thank you for the mps file. I am going to give it a try and get back afterward.
0 -
Hi,
Can you send a mps file that matches the original lp file (IIS model), i.e., the mps file for the IIS model that matches to your initial lp file?
Since an infeasible model may have multiple IIS, we want to investigate the same IIS posted in your original post.
Thanks.
0 -
Ooops... I posted the .mps file for the IIS, NOT the original lp model.
Therefore, you can just continue to investigate it. If you want to look into the original lp file then please let me know another method for me to send the .mps file to you. I can't post it here because it is too long to freeze this webpage.
Appreciated,
Eunseok Kim
0 -
Hi Eunseok,
Let's analyze your original IIS model (lp format). I see two problems:
1. log function can not take 0 or negative values. Setting gS[1,0], I[2,0], gterm_S_mul_I[1,0,2,0] free are invalid.
2. In case you remove "free" from their bounds, the general constraint: GC125: gLogTerm_S_mul_I[1,0,2,0] = LOG ( gterm_S_mul_I[1,0,2,0] ) is still undefined because gterm_S_mul_I[1,0,2,0] can take a value of 0.
Here is the model after removing the problems above, as well as the log file:
Modified model:
-------
Minimize
0
Subject To
iniConstr_01_1_S_U[1,0]: 0.001 S_U[1,0] = 153.09
iniConstr_02_1_I_A[2,0]: 0.01 I_A[2,0] = 33.824
iniConstr_02_2_I_P[2,0]: 0.01 I_P[2,0] = 50.736
Constr1_12_I[2,0]: - I_P[2,0] - I_A[2,0] - I_S[2,0] + I[2,0] = 0
Constr_S[1,0,]: - S_U[1,0] + S_V_Plus[1,0] + gS[1,0] = 0
logConstr_Sum[1,0,2,0]: - gLogTerm_S[1,0] + gLogTerm_S_mul_I[1,0,2,0] - gLogTerm_I[2,0] = 0
Constr16[1,0,1]: - V[1,0] + S_V_Plus[1,0] = 0
Constr20[1]: V_scaled[2,0] + V_scaled[2,1] + V_scaled[2,2] + V_scaled[1,0] + V_scaled[1,1] + V_scaled[1,2] <= 0
constr20_1[1]: V[1,0] - V_scaled[1,0] = 0
Bounds
I_P[2,0] free
I_A[2,0] free
S_U[1,0] free
V[1,0] free
V_scaled[1,0] free
S_V_Plus[1,0] free
gLogTerm_S[1,0] free
gLogTerm_S_mul_I[1,0,2,0] free
gLogTerm_I[2,0] free
General Constraints
GC117: gLogTerm_S[1,0] = LOG ( gS[1,0] )
GC124: gLogTerm_I[2,0] = LOG ( I[2,0] )
EndLog file:
-----
Set parameter LogFile to value "gurobi.log"
Using license file /Users/jue.xue/gurobi.licGurobi Optimizer version 10.0.1 build v10.0.1rc0 (mac64[rosetta2])
Copyright (c) 2023, Gurobi Optimization, LLCWarning: Numeric variable name in LP file ('0') - often the result
of a constant term in the left-hand side of a constraint.Read LP format model from file iisModel-Copy3.lp
Reading time = 0.00 seconds
: 9 rows, 18 columns, 23 nonzerosCPU model: Apple M1
Thread count: 8 physical cores, 8 logical processors, using up to 8 threadsOptimize a model with 9 rows, 18 columns and 23 nonzeros
Model fingerprint: 0x44764961
Model has 2 general constraints
Variable types: 18 continuous, 0 integer (0 binary)
Coefficient statistics:
Matrix range [1e-03, 1e+00]
Objective range [1e+00, 1e+00]
Bounds range [0e+00, 0e+00]
RHS range [3e+01, 2e+02]
Presolve added 13 rows and 642 columns
Presolve time: 0.02s
Presolved: 22 rows, 660 columns, 12243 nonzeros
Variable types: 650 continuous, 10 integer (2 binary)
Found heuristic solution: objective 0.0000000Explored 0 nodes (0 simplex iterations) in 0.02 seconds (0.04 work units)
Thread count was 8 (of 8 available processors)Solution count 1: 0
Optimal solution found (tolerance 1.00e-04)
Best objective 0.000000000000e+00, best bound 0.000000000000e+00, gap 0.0000%----
Hope this helps to explain why it is "infeasible".
0 -
Thank you for your advice. I still have some questions regarding your comment.
I don't know why these variables are listed as "free" even if I set their lower/uppder bounds.
(Also, I turned off presolve option just in case.)I believe that I set the appropriate lower/upper bounds for these variables. Here is the python code block:
m.addVar(name=f"gS[{code1},{code2}]", lb=0.0, vtype=GRB.CONTINUOUS, ub=N)m.addVar(name=f"I[{code1},{code2}]", lb=0.0, vtype=GRB.CONTINUOUS, ub=N)m.addVar(name=f"gLogTerm_S[{code1},{code2}]", lb=-GRB.INFINITY, vtype=GRB.CONTINUOUS)m.addVar(name=f"gLogTerm_I[{code1},{code2}]", lb=-GRB.INFINITY, vtype=GRB.CONTINUOUS)m.addVar(name=f"gLogTerm_S_mul_I[{code1},{code2},{code3},{code4}]", lb=-GRB.INFINITY, vtype=GRB.CONTINUOUS)Even if I declared variables using these code blocks, these variables are listed as "free" in IIS.
Could you review this code block and let me know any mistakes I've made?
I genuinely appreciate your help.
0 -
Hi Eunseok,
My understanding is that you have a different question at this point. Namely why "free was added" to the model while you have modeled them to be bounded. I will recommend you create a different post on that specific subject to maximize the sharing.
0 -
Hi Jue,
Before I post a new question, I searched the existing posts and found a relevant post.
(URL: https://support.gurobi.com/hc/en-us/community/posts/12989446547089-Why-is-the-variable-free-shown-in-the-ilp-file-even-though-I-ve-already-set-the-ub-lb-or-value-in-the-model-?input_string=Bounded%20variable%20become%20%22free%22%20in%20the%20IIS)According to the post,
"If a variable appears as free in the IIS but you originally set it to have some bounds, this means that the bound of the variable does not participate in the IIS, in other words, the bound of the variable does not contribute to the infeasibility of the IIS that you obtained.".
I was planning to post a new question, but I left this comment because it claims the opposite idea with your results. If the bounds of variables do not contribute to the infeasibility, then removing "free" should not change the feasibility of the model. It's confusing. Any comment on this?
Thank you!
0 -
Hi Eunseok
I am happy that you find the post which explains why your bounded variables are shown as "free" in the IIS instance.
Now, let us focus on your needs:
1. what to do in presence of an IIS?
- The KB article we sent earlier contains links for this, including the minimal relaxation required to turn into a feasible model.
- Here is another link, with examples, on how to diagnose and cope with infeasibility.
2. what has caused this instance (of IIS) infeasible?
- It requires a detailed analysis of the instance itself, including the specific data values.
In case 2 is what you want, you can start by cleaning up the IIS (e.g., remove the added "free" to the variables) and consider sharing the result IIS with me. I am happy to help you.
Best regards
0 -
Hi Jue,
I genuinely appreciate your help. I have been manipulating the IIS to determine the cause of infeasibility.
1. I computed the violation of each constraint using "feasRelaxS()" and adjusted the initial condition values according to artificial variables. However, it didn't work. Again, the model was infeasible, and Gurobi presented non-zero (but much smaller) values for artificial variables.
2. I refined the IIS further. 1) I replaced the LOG with EXP to avoid the non-negative domain issue, 2) I arranged redundant constraints. See below .lp file:
Minimize
0 gTerm_S_mul_I[2,0,1,0]
Subject To
iniConstr_01_1_S_U[2,0]: 0.001 S_U[2,0] = 153.09
iniConstr_02_1_I_A[1,0]: 0.01 I_A[1,0] = 33.797942176
Constr1_12_I[1,0]: - I_A[1,0] + I[1,0] = 0
Constr_S[2,0,0]: - S_U[2,0] + gS[2,0] = 0
logConstr_Sum[2,0,1,0]: - gLogTerm_S[2,0] + gLogTerm_S_mul_I[2,0,1,0] - gLogTerm_I[1,0] = 0
Bounds
gTerm_S_mul_I[2,0,1,0] free
S_U[2,0] free
I_A[1,0] free
I[1,0] free
gS[2,0] free
gLogTerm_S[2,0] free
gLogTerm_S_mul_I[2,0,1,0] free
gLogTerm_I[1,0] free
General Constraints
GC79: I[1,0] = EXP ( gLogTerm_I[1,0] )
GC117: gS[2,0] = EXP ( gLogTerm_S[2,0] )
GC125: gTerm_S_mul_I[2,0,1,0] = EXP ( gLogTerm_S_mul_I[2,0,1,0] )
End3. Gurobi claims that this model is infeasible. However, Gurobi solves the Phase I problem with 0 objective value, which means the model is feasible, in fact. After that, Gurobi again claims that the model is infeasible if I try to solve the model once again:
Here is the python code:
m = read(filepath) # reads .lp file
m.optimize()
m.computeIIS()
m.feasRelaxS(0, True, False, True)
m.optimize()The Gurobi log is as follows:
Read LP format model from file ./test/testIIS.ilp
Reading time = 0.01 seconds
: 5 rows, 8 columns, 9 nonzeros
Gurobi Optimizer version 10.0.1 build v10.0.1rc0 (win64)
CPU model: Intel(R) Core(TM) i7-8565U CPU @ 1.80GHz, instruction set [SSE2|AVX|AVX2]
Thread count: 4 physical cores, 8 logical processors, using up to 8 threads
Optimize a model with 5 rows, 8 columns and 9 nonzeros
Model fingerprint: 0x1ddfd6ec
Model has 3 general constraints
Variable types: 8 continuous, 0 integer (0 binary)
Coefficient statistics:
Matrix range [1e-03, 1e+00]
Objective range [0e+00, 0e+00]
Bounds range [0e+00, 0e+00]
RHS range [3e+01, 2e+02]
Presolve added 0 rows and 1294 columns
Presolve removed 1 rows and 0 columns
Presolve time: 0.01s
Explored 0 nodes (0 simplex iterations) in 0.02 seconds (0.00 work units)
Thread count was 1 (of 8 available processors)
Solution count 0
Model is infeasible
Best objective -, best bound -, gap -
Computing Irreducible Inconsistent Subsystem (IIS)...
Constraints | Bounds | Runtime
Min Max Guess | Min Max Guess |
--------------------------------------------------------------------------
0 8 - 0 0 0 0s
8 8 8 0 0 0 0s
IIS computed: 8 constraints, 0 bounds
IIS runtime: 0.39 seconds (0.16 work units)
Solve phase I feasrelax model to determine minimal relaxation
Optimize a model with 5 rows, 18 columns and 19 nonzeros
Model fingerprint: 0x25c1465d
Model has 3 general constraints
Variable types: 18 continuous, 0 integer (0 binary)
Coefficient statistics:
Matrix range [1e-03, 1e+00]
Objective range [1e+00, 1e+00]
Bounds range [0e+00, 0e+00]
RHS range [3e+01, 2e+02]
Presolve added 58 rows and 1320 columns
Presolve time: 0.04s
Presolved: 63 rows, 1338 columns, 23071 nonzeros
Variable types: 1311 continuous, 27 integer (3 binary)
Found heuristic solution: objective 995571.43956
Root relaxation: objective 1.162732e-10, 36 iterations, 0.00 seconds (0.00 work units)
Nodes | Current Node | Objective Bounds | Work
Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time
0 0 0.00000 0 6 995571.440 0.00000 100% - 0s
H 0 0 29365.351622 0.00000 100% - 0s
0 0 0.00000 0 6 29365.3516 0.00000 100% - 0s
H 0 0 635.0628430 0.00000 100% - 0s
0 2 0.00000 0 6 635.06284 0.00000 100% - 0s
H 45 44 -0.0000000 -0.00000 0.00% 4.7 0s
Explored 59 nodes (377 simplex iterations) in 0.33 seconds (0.22 work units)
Thread count was 8 (of 8 available processors)
Solution count 4: -1.13687e-13 635.063 29365.4 995571
Optimal solution found (tolerance 1.00e-04)
Warning: max constraint violation (7.6095e+02) exceeds tolerance
Warning: max general constraint violation (7.6095e+02) exceeds tolerance
Piecewise linearization of function constraints often causes big violation.
Try to adjust the settings of the related parameters, such as FuncPieces.
Best objective 0.000000000000e+00, best bound -1.136868377216e-13, gap 0.0000%
Gurobi Optimizer version 10.0.1 build v10.0.1rc0 (win64)
CPU model: Intel(R) Core(TM) i7-8565U CPU @ 1.80GHz, instruction set [SSE2|AVX|AVX2]
Thread count: 4 physical cores, 8 logical processors, using up to 8 threads
Optimize a model with 6 rows, 18 columns and 29 nonzeros
Model fingerprint: 0xa6b3b7db
Model has 3 general constraints
Variable types: 18 continuous, 0 integer (0 binary)
Coefficient statistics:
Matrix range [1e-03, 1e+00]
Objective range [0e+00, 0e+00]
Bounds range [0e+00, 0e+00]
RHS range [3e+01, 2e+02]
User MIP start did not produce a new incumbent solution
MIP start from previous solve did not produce a new incumbent solution
Presolve added 0 rows and 1284 columns
Presolve removed 2 rows and 0 columns
Presolve time: 0.00s
Explored 0 nodes (0 simplex iterations) in 0.00 seconds (0.00 work units)
Thread count was 1 (of 8 available processors)
Solution count 0
Model is infeasible
Best objective -, best bound -, gap -Could you share your thoughts/comments?
Best regards
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Hi Eunseok,
Thanks for providing your updated model, run details, and log file. I can confirm the execution results are similar on my side.
wrt. your "3. Gurobi claims that this model is infeasible. However, Gurobi solves the Phase I problem with 0 objective value, which means the model is feasible,...",
1. m.feasRelaxS(0, True, False, True) will find you a feasible solution with objective value = 0, after relaxing some original bounds and/or constraints. That is, it solves a different problem based on your original problem (let's call the new problem relOrg.lp)
2. when Gurobi finds an optimal solution to relOrg.lp, it also indicates what violations this solution has with respect to the original problem, per the specific parameters used for your feasRelaxS() call. Specifically, the log indicates the following (see "violation'):
Optimal solution found (tolerance 1.00e-04)
Warning: max constraint violation (7.6095e+02) exceeds tolerance
Warning: max general constraint violation (7.6095e+02) exceeds toleranceLet me know in case you need more clarification.
Best regards,
0 -
Hi Jue,
Thanks for sharing your thoughts. Although I was not able to access your Jupyter Notebook, I've fixed the model and the code as follows:
Model: I've adjusted parameters for general constraints to control their errors
Minimize
0 gTerm_S_mul_I[2,0,1,0]
Subject To
iniConstr_01_1_S_U[2,0]: 0.001 S_U[2,0] = 153.09
iniConstr_02_1_I_A[1,0]: 0.01 I_A[1,0] = 33.797942176
Constr1_12_I[1,0]: - I_A[1,0] + I[1,0] = 0
Constr_S[2,_0,_0]: - S_U[2,0] + gS[2,0] = 0
logConstr_Sum[2,0,1,0]: - gLogTerm_S[2,0] + gLogTerm_S_mul_I[2,0,1,0] - gLogTerm_I[1,0] = 0
Bounds
gTerm_S_mul_I[2,0,1,0] free
S_U[2,0] free
I_A[1,0] free
I[1,0] free
gS[2,0] free
gLogTerm_S[2,0] free
gLogTerm_S_mul_I[2,0,1,0] free
gLogTerm_I[1,0] free
General Constraints
GC79: ( FuncPieces=-1 FuncPieceError=0.001 FuncPieceRatio=0 ) I[1,0] = EXP ( gLogTerm_I[1,0] )
GC117: ( FuncPieces=-1 FuncPieceError=0.001 FuncPieceRatio=0 ) gS[2,0] = EXP ( gLogTerm_S[2,0] )
GC125: ( FuncPieces=-1 FuncPieceError=0.001 FuncPieceRatio=0 ) gTerm_S_mul_I[2,0,1,0] = EXP ( gLogTerm_S_mul_I[2,0,1,0] )
EndScript: I have changed the second parameter of feasRelaxS() to see the minimum violations. Also, I'm going to trace the values of variables.
m = read(filepath)
orignumvars = m.NumVars
m.optimize()
m.computeIIS()
m.feasRelaxS(0, False, False, True)
m.optimize()
print("Status: ", m.Status)
print("Count: ", m.SolCount)
print("==============Solutions===================")
slacks = m.getVars()[:orignumvars]
for sv in slacks:
m.message(f"{sv.VarName} = {sv.X}")
print("==============Slacks===================")
slacks = m.getVars()[orignumvars:]
for sv in slacks:
if (sv.X > 0.00000001) or (-0.00000001 > sv.X): # Check only non-zero slack variables
m.message(f"{sv.VarName} = {sv.X}")Results:
Read LP format model from file ./test/testIIS.ilp
Reading time = 0.00 seconds
: 5 rows, 8 columns, 9 nonzeros
Gurobi Optimizer version 10.0.1 build v10.0.1rc0 (win64)
CPU model: Intel(R) Core(TM) i7-8565U CPU @ 1.80GHz, instruction set [SSE2|AVX|AVX2]
Thread count: 4 physical cores, 8 logical processors, using up to 8 threads
Optimize a model with 5 rows, 8 columns and 9 nonzeros
Model fingerprint: 0xd9e47b01
Model has 3 general constraints
Variable types: 8 continuous, 0 integer (0 binary)
Coefficient statistics:
Matrix range [1e-03, 1e+00]
Objective range [0e+00, 0e+00]
Bounds range [0e+00, 0e+00]
RHS range [3e+01, 2e+02]
Presolve added 0 rows and 15 columns
Presolve removed 1 rows and 0 columns
Presolve time: 0.00s
Explored 0 nodes (0 simplex iterations) in 0.00 seconds (0.00 work units)
Thread count was 1 (of 8 available processors)
Solution count 0
Model is infeasible
Best objective -, best bound -, gap -
Computing Irreducible Inconsistent Subsystem (IIS)...
Constraints | Bounds | Runtime
Min Max Guess | Min Max Guess |
--------------------------------------------------------------------------
0 8 - 0 0 0 0s
8 8 8 0 0 0 0s
IIS computed: 8 constraints, 0 bounds
IIS runtime: 0.03 seconds (0.01 work units)
Gurobi Optimizer version 10.0.1 build v10.0.1rc0 (win64)
CPU model: Intel(R) Core(TM) i7-8565U CPU @ 1.80GHz, instruction set [SSE2|AVX|AVX2]
Thread count: 4 physical cores, 8 logical processors, using up to 8 threads
Optimize a model with 5 rows, 18 columns and 19 nonzeros
Model fingerprint: 0x7729526c
Model has 3 general constraints
Variable types: 18 continuous, 0 integer (0 binary)
Coefficient statistics:
Matrix range [1e-03, 1e+00]
Objective range [1e+00, 1e+00]
Bounds range [0e+00, 0e+00]
RHS range [3e+01, 2e+02]
Presolve added 36 rows and 68 columns
Presolve time: 0.00s
Presolved: 41 rows, 86 columns, 639 nonzeros
Variable types: 71 continuous, 15 integer (6 binary)
Found heuristic solution: objective 186.8880422
Root relaxation: objective -1.705303e-13, 25 iterations, 0.00 seconds (0.00 work units)
Nodes | Current Node | Objective Bounds | Work
Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time
0 0 -0.00000 0 7 186.88804 -0.00000 100% - 0s
H 0 0 153.8933482 -0.00000 100% - 0s
H 0 0 153.8933481 -0.00000 100% - 0s
H 0 0 34.0832534 -0.00000 100% - 0s
0 0 0.00004 0 5 34.08325 0.00004 100% - 0s
0 0 0.00006 0 4 34.08325 0.00006 100% - 0s
H 0 0 32.2047251 0.00006 100% - 0s
H 0 0 22.9150019 0.00006 100% - 0s
0 0 4.03093 0 4 22.91500 4.03093 82.4% - 0s
H 0 0 6.0213311 4.03093 33.1% - 0s
Cutting planes:
Gomory: 2
Relax-and-lift: 1
Explored 1 nodes (40 simplex iterations) in 0.03 seconds (0.00 work units)
Thread count was 8 (of 8 available processors)
Solution count 6: 6.02133 22.915 32.2047 ... 186.888
Optimal solution found (tolerance 1.00e-04)
Warning: max constraint violation (1.2330e-01) exceeds tolerance
Warning: max general constraint violation (1.2330e-01) exceeds tolerance
Piecewise linearization of function constraints often causes big violation.
Try to adjust the settings of the related parameters, such as FuncPieces.
Best objective 6.021331120000e+00, best bound 6.021331120000e+00, gap 0.0000%
Status: 2
Count: 6
==============Solutions===================
gTerm_S_mul_I[2,0,1,0] = 999999.9899999995
S_U[2,0] = 153090.0
I_A[1,0] = 3379.7942175999997
I[1,0] = 3379.7942175999997
gS[2,0] = 153090.0
gLogTerm_S[2,0] = 11.815479309229108
gLogTerm_S_mul_I[2,0,1,0] = 13.815510557964274
gLogTerm_I[1,0] = 8.021362368734962
==============Slacks===================
ArtP_logConstr_Sum[2,0,1,0] = 6.021331119999797From this result, we can easily find that the following constraint is relaxed:
gLogTerm_S_mul_I[2,0,1,0] = gLogTerm_S[2,0] + gLogTerm_I[1,0]
(13.815510557964274 != 11.815479309229108 + 8.021362368734962)
My question is why Gurobi limits the magnitude of gLogTerm_S_mul_I[2,0,1,0] (and gTerm_S_mul_I[2,0,1,0] accordingly)?
Both gLogTerm_S_mul_I[2,0,1,0] and gTerm_S_mul_I[2,0,1,0] are free variables. Therefore, I can't understand why gLogTerm_S_mul_I[2,0,1,0] is less than 14 so that gTerm_S_mul_I[2,0,1,0] is less than 1000000 (I've never provided such an artificial bound.).
If the computation was correct:
gLogTerm_S_mul_I[2,0,1,0] = gLogTerm_S[2,0] + gLogTerm_I[1,0] = 19.83684168
gTerm_S_mul_I[2,0,1,0] = EXP(19.83684168) = 412126821.0228
Could you review this result? It is pretty weird.
Once again, I truly appreciate your help.
Eunseok Kim
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Hi Eunseok,
Thanks for providing your model and log file. I am able to repeat with similar results. With respect to your questions:
1. "My question is why Gurobi limits the magnitude of gLogTerm_S_mul_I[2,0,1,0] (and gTerm_S_mul_I[2,0,1,0] accordingly)?"
I do not see Gurobi has added any limit to them since, as your model specifies that "Both gLogTerm_S_mul_I[2,0,1,0] and gTerm_S_mul_I[2,0,1,0] are free variables."
2. "...I can't understand why gLogTerm_S_mul_I[2,0,1,0] is less than 14 so that gTerm_S_mul_I[2,0,1,0] is less than 1000000 (I've never provided such an artificial bound.)."
By choosing the above values for the variables, Gurobi finds a feasible and optimal solution that "minimize the sum of the magnitudes of the bound and constraint violations", based on your parameter choice of m.feasRelaxS(0, False, False, True).
Note: in this instance, violating one constraint of the original model is enough to achieve the relaxation wanted, as can be seen from:
gLogTerm_S_mul_I[2,0,1,0] + "Best Objective" ~ gLogTerm_S[2,0] + gLogTerm_I[1,0]
Best regards
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Hi Jue,
Thanks for your comments.
As you mentioned, Gurobi claims that the model is infeasible, and we can find a feasible solution by violating the constraint; gLogTerm_S_mul_I[2,0,1,0] = gLogTerm_S[2,0] + gLogTerm_I[1,0].
However, my key question is why this constraint "should be relaxed" to make the model feasible. As all three variables in the constraint are "free," Gurobi should have found such solutions:
gLogTerm_S_mul_I[2,0,1,0] = 19.83684168 (NOT 13.815510557964274)
gLogTerm_S[2,0] = 11.815479309229108
gLogTerm_I[1,0] = 8.021362368734962In other words, I can't find any bound/restriction that makes gLogTerm_S_mul_I[2,0,1,0]=13.815510557964274 rather than 19.83684168. As you claimed, if Gurobi wanted to minimize the sum of violations, Gurobi should have set gLogTerm_S_mul_I[2,0,1,0]=19.83684168, to make the best objective value 0, not 6.02133.
Could you review my question once again?
Appreciated
0 -
Hi Eunseok,
Yes, you can set the values, as you wish, to satisfy that single constraint.
This pdf file contains a definition of a "feasible solution". I hope it can clarify your question.
Best regards,
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Hi Jue,
I know feasible solutions satisfy all constraints.
From the model, I've found a feasible solution presented below. As this solution satisfies all constraints and bounds, this solution should be feasible. But Gurobi claims that the model is infeasible. Could you explain which point is wrong?
Best,
iniConstr_01_1_S_U[2,0]: S_U[2,0] = 153090
iniConstr_02_1_I_A[1,0]: I_A[1,0] = 3379.7942176
Constr1_12_I[1,0]: I[1,0] = I_A[1,0] = 3379.7942176
Constr_S[2,_0,_0]: gS[2,0] = S_U[2,0] = 153090
GC79: ( FuncPieces=-1 FuncPieceError=0.001 FuncPieceRatio=0 ) I[1,0] = EXP ( gLogTerm_I[1,0] ) -> gLogTerm_I[1,0] = LOG(I[1,0]) = 8.1255701 (but Gurobi set this value as 8.021362368734962 due to underestimation option)
GC117: ( FuncPieces=-1 FuncPieceError=0.001 FuncPieceRatio=0 ) gS[2,0] = EXP ( gLogTerm_S[2,0] ) -> gLogTerm_S[2,0] = LOG(gS[2,0]) = 11.9387812 (but Gurobi set this value as 11.81551055796 due to underestimation option)
logConstr_Sum[2,0,1,0]: gLogTerm_S_mul_I[2,0,1,0] = gLogTerm_S[2,0] + gLogTerm_I[1,0] = 8.1255701 + 11.9387812 = 20.06435136
GC125: ( FuncPieces=-1 FuncPieceError=0.001 FuncPieceRatio=0 ) gTerm_S_mul_I[2,0,1,0] = EXP ( gLogTerm_S_mul_I[2,0,1,0] ) = EXP(20.06435136) = 517,412,694
Bounds
gTerm_S_mul_I[2,0,1,0] free
S_U[2,0] free
I_A[1,0] free
I[1,0] free
gS[2,0] free
gLogTerm_S[2,0] free
gLogTerm_S_mul_I[2,0,1,0] free
gLogTerm_I[1,0] free0 -
Hi Eunseok,
Thanks for sharing your numerical example. It shows this model instance is in the "numerical wonderland".
While dealing with non-linear functions (e.g., EXP, LOG,..), a common approach is to use piece-wise-linear (PWL) functions and binary variables to approximate them. That is, to model (approximate) them using PWL and binary constraints.
Numerical issues may arise in approximation as you know. In order to limit them, Gurobi has used 1e+6 as the default value for FuncMaxVal. By comparing your numerical solution, it is not large enough. Hence, we see Gurobi has reported 'infeasible'.
Here is a video on Avoiding numerical issues in optimization models that may help.
Back to your model instance, I have set FuncMaxVal=1e+10 and resolved the problem. A feasible solution is found as shown in the log:
Reading time = 0.00 seconds : 5 rows, 8 columns, 9 nonzeros
Set parameter FuncMaxVal to value 10000000000
Set parameter FuncMaxVal to value 10000000000
Gurobi Optimizer version 10.0.1 build v10.0.1rc0 (mac64[rosetta2])
CPU model: Apple M1
Thread count: 8 physical cores, 8 logical processors, using up to 8 threads
Optimize a model with 5 rows, 8 columns and 9 nonzeros
Model fingerprint: 0xf01086a8
Model has 3 general constraints
Variable types: 8 continuous, 0 integer (0 binary)
Coefficient statistics:
Matrix range [1e-03, 1e+00]
Objective range [0e+00, 0e+00]
Bounds range [0e+00, 0e+00]
RHS range [3e+01, 2e+02]
Presolve removed 5 rows and 8 columns
Presolve time: 0.00s
Presolve: All rows and columns removed
Explored 0 nodes (0 simplex iterations) in 0.01 seconds (0.00 work units)
Thread count was 1 (of 8 available processors)
Solution count 1: 0
Optimal solution found (tolerance 1.00e-04)
Warning: max constraint violation (2.8092e+00) exceeds tolerance
Warning: max general constraint violation (2.8092e+00) exceeds tolerance
Piecewise linearization of function constraints often causes big violation.
Try to adjust the settings of the related parameters, such as FuncPieces.
Best objective 0.000000000000e+00, best bound 0.000000000000e+00, gap 0.0000%
However, the warning message from the above log is not desirable, but hard to avoid sometime. My suggestion is to consider re-formulate your model to avoid/minimze numerical issues. For example, in your model, by tightening a bound (gLogTerm_S_mul_I[2,0,1,0] > 1) and resolving it, you can get a much better solution, see log:Reading time = 0.00 seconds : 5 rows, 8 columns, 9 nonzeros Set parameter FuncMaxVal to value 10000000000 Set parameter FuncMaxVal to value 10000000000 Gurobi Optimizer version 10.0.1 build v10.0.1rc0 (mac64[rosetta2]) CPU model: Apple M1 Thread count: 8 physical cores, 8 logical processors, using up to 8 threads Optimize a model with 5 rows, 8 columns and 9 nonzeros Model fingerprint: 0x5a52b0fa Model has 3 general constraints Variable types: 8 continuous, 0 integer (0 binary) Coefficient statistics: Matrix range [1e-03, 1e+00] Objective range [0e+00, 0e+00] Bounds range [1e+00, 1e+00] RHS range [3e+01, 2e+02] Presolve added 0 rows and 16380 columns Presolve removed 2 rows and 0 columns Presolve time: 0.46s Presolved: 3 rows, 16388 columns, 49159 nonzeros Presolved model has 1 SOS constraint(s) Variable types: 16388 continuous, 0 integer (0 binary) Root relaxation: objective 0.000000e+00, 8 iterations, 0.03 seconds (0.08 work units) Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 0.00000 0 1 - 0.00000 - - 0s 0 0 0.00000 0 1 - 0.00000 - - 0s 0 2 0.00000 0 1 - 0.00000 - - 0s * 19 0 10 0.0000000 0.00000 0.00% 15.3 0s Explored 21 nodes (298 simplex iterations) in 0.60 seconds (0.29 work units) Thread count was 8 (of 8 available processors) Solution count 1: 0 Optimal solution found (tolerance 1.00e-04) Best objective 0.000000000000e+00, best bound 0.000000000000e+00, gap 0.0000%0 -
Hmm. Not sure why my logs are shown in just one-line. You may modify the model, run it from your side, and confirm.
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Hi Jue,
I was able to resolve the issue by adjusting the FuncMaxVal parameter.
Although I'm having another issue, I will make a separate post for it.Once again, I genuinely appreciate your help.
Best,
Eunseok Kim
0 -
Hi Eunseok,
I am very happy to hear that you are able to resolve the issue.
Thanks you for participating in the forum and sharing the question/issue/and resolution.
Best regards,
0
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