-
Notifications
You must be signed in to change notification settings - Fork 0
/
kakuro_expert.lp
1616 lines (1615 loc) · 94.1 KB
/
kakuro_expert.lp
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
\ Model kakuro
\ LP format - for model browsing. Use MPS format to capture full model detail.
Minimize
Subject To
Vertical_Sum_at_(0,2): G[1,2,0] + 2 G[1,2,1] + 3 G[1,2,2] + 4 G[1,2,3]
+ 5 G[1,2,4] + 6 G[1,2,5] + 7 G[1,2,6] + 8 G[1,2,7] + 9 G[1,2,8]
+ G[2,2,0] + 2 G[2,2,1] + 3 G[2,2,2] + 4 G[2,2,3] + 5 G[2,2,4]
+ 6 G[2,2,5] + 7 G[2,2,6] + 8 G[2,2,7] + 9 G[2,2,8] + G[3,2,0]
+ 2 G[3,2,1] + 3 G[3,2,2] + 4 G[3,2,3] + 5 G[3,2,4] + 6 G[3,2,5]
+ 7 G[3,2,6] + 8 G[3,2,7] + 9 G[3,2,8] + G[4,2,0] + 2 G[4,2,1]
+ 3 G[4,2,2] + 4 G[4,2,3] + 5 G[4,2,4] + 6 G[4,2,5] + 7 G[4,2,6]
+ 8 G[4,2,7] + 9 G[4,2,8] + G[5,2,0] + 2 G[5,2,1] + 3 G[5,2,2]
+ 4 G[5,2,3] + 5 G[5,2,4] + 6 G[5,2,5] + 7 G[5,2,6] + 8 G[5,2,7]
+ 9 G[5,2,8] = 23
ColUniqueness_at_(0,2): G[1,2,0] + G[2,2,0] + G[3,2,0] + G[4,2,0]
+ G[5,2,0] <= 1
ColUniqueness_at_(0,2): G[1,2,1] + G[2,2,1] + G[3,2,1] + G[4,2,1]
+ G[5,2,1] <= 1
ColUniqueness_at_(0,2): G[1,2,2] + G[2,2,2] + G[3,2,2] + G[4,2,2]
+ G[5,2,2] <= 1
ColUniqueness_at_(0,2): G[1,2,3] + G[2,2,3] + G[3,2,3] + G[4,2,3]
+ G[5,2,3] <= 1
ColUniqueness_at_(0,2): G[1,2,4] + G[2,2,4] + G[3,2,4] + G[4,2,4]
+ G[5,2,4] <= 1
ColUniqueness_at_(0,2): G[1,2,5] + G[2,2,5] + G[3,2,5] + G[4,2,5]
+ G[5,2,5] <= 1
ColUniqueness_at_(0,2): G[1,2,6] + G[2,2,6] + G[3,2,6] + G[4,2,6]
+ G[5,2,6] <= 1
ColUniqueness_at_(0,2): G[1,2,7] + G[2,2,7] + G[3,2,7] + G[4,2,7]
+ G[5,2,7] <= 1
ColUniqueness_at_(0,2): G[1,2,8] + G[2,2,8] + G[3,2,8] + G[4,2,8]
+ G[5,2,8] <= 1
Vertical_Sum_at_(0,3): G[1,3,0] + 2 G[1,3,1] + 3 G[1,3,2] + 4 G[1,3,3]
+ 5 G[1,3,4] + 6 G[1,3,5] + 7 G[1,3,6] + 8 G[1,3,7] + 9 G[1,3,8]
+ G[2,3,0] + 2 G[2,3,1] + 3 G[2,3,2] + 4 G[2,3,3] + 5 G[2,3,4]
+ 6 G[2,3,5] + 7 G[2,3,6] + 8 G[2,3,7] + 9 G[2,3,8] + G[3,3,0]
+ 2 G[3,3,1] + 3 G[3,3,2] + 4 G[3,3,3] + 5 G[3,3,4] + 6 G[3,3,5]
+ 7 G[3,3,6] + 8 G[3,3,7] + 9 G[3,3,8] + G[4,3,0] + 2 G[4,3,1]
+ 3 G[4,3,2] + 4 G[4,3,3] + 5 G[4,3,4] + 6 G[4,3,5] + 7 G[4,3,6]
+ 8 G[4,3,7] + 9 G[4,3,8] = 15
ColUniqueness_at_(0,3): G[1,3,0] + G[2,3,0] + G[3,3,0] + G[4,3,0] <= 1
ColUniqueness_at_(0,3): G[1,3,1] + G[2,3,1] + G[3,3,1] + G[4,3,1] <= 1
ColUniqueness_at_(0,3): G[1,3,2] + G[2,3,2] + G[3,3,2] + G[4,3,2] <= 1
ColUniqueness_at_(0,3): G[1,3,3] + G[2,3,3] + G[3,3,3] + G[4,3,3] <= 1
ColUniqueness_at_(0,3): G[1,3,4] + G[2,3,4] + G[3,3,4] + G[4,3,4] <= 1
ColUniqueness_at_(0,3): G[1,3,5] + G[2,3,5] + G[3,3,5] + G[4,3,5] <= 1
ColUniqueness_at_(0,3): G[1,3,6] + G[2,3,6] + G[3,3,6] + G[4,3,6] <= 1
ColUniqueness_at_(0,3): G[1,3,7] + G[2,3,7] + G[3,3,7] + G[4,3,7] <= 1
ColUniqueness_at_(0,3): G[1,3,8] + G[2,3,8] + G[3,3,8] + G[4,3,8] <= 1
Vertical_Sum_at_(0,5): G[1,5,0] + 2 G[1,5,1] + 3 G[1,5,2] + 4 G[1,5,3]
+ 5 G[1,5,4] + 6 G[1,5,5] + 7 G[1,5,6] + 8 G[1,5,7] + 9 G[1,5,8]
+ G[2,5,0] + 2 G[2,5,1] + 3 G[2,5,2] + 4 G[2,5,3] + 5 G[2,5,4]
+ 6 G[2,5,5] + 7 G[2,5,6] + 8 G[2,5,7] + 9 G[2,5,8] = 8
ColUniqueness_at_(0,5): G[1,5,0] + G[2,5,0] <= 1
ColUniqueness_at_(0,5): G[1,5,1] + G[2,5,1] <= 1
ColUniqueness_at_(0,5): G[1,5,2] + G[2,5,2] <= 1
ColUniqueness_at_(0,5): G[1,5,3] + G[2,5,3] <= 1
ColUniqueness_at_(0,5): G[1,5,4] + G[2,5,4] <= 1
ColUniqueness_at_(0,5): G[1,5,5] + G[2,5,5] <= 1
ColUniqueness_at_(0,5): G[1,5,6] + G[2,5,6] <= 1
ColUniqueness_at_(0,5): G[1,5,7] + G[2,5,7] <= 1
ColUniqueness_at_(0,5): G[1,5,8] + G[2,5,8] <= 1
Vertical_Sum_at_(0,6): G[1,6,0] + 2 G[1,6,1] + 3 G[1,6,2] + 4 G[1,6,3]
+ 5 G[1,6,4] + 6 G[1,6,5] + 7 G[1,6,6] + 8 G[1,6,7] + 9 G[1,6,8]
+ G[2,6,0] + 2 G[2,6,1] + 3 G[2,6,2] + 4 G[2,6,3] + 5 G[2,6,4]
+ 6 G[2,6,5] + 7 G[2,6,6] + 8 G[2,6,7] + 9 G[2,6,8] = 10
ColUniqueness_at_(0,6): G[1,6,0] + G[2,6,0] <= 1
ColUniqueness_at_(0,6): G[1,6,1] + G[2,6,1] <= 1
ColUniqueness_at_(0,6): G[1,6,2] + G[2,6,2] <= 1
ColUniqueness_at_(0,6): G[1,6,3] + G[2,6,3] <= 1
ColUniqueness_at_(0,6): G[1,6,4] + G[2,6,4] <= 1
ColUniqueness_at_(0,6): G[1,6,5] + G[2,6,5] <= 1
ColUniqueness_at_(0,6): G[1,6,6] + G[2,6,6] <= 1
ColUniqueness_at_(0,6): G[1,6,7] + G[2,6,7] <= 1
ColUniqueness_at_(0,6): G[1,6,8] + G[2,6,8] <= 1
Vertical_Sum_at_(0,7): G[1,7,0] + 2 G[1,7,1] + 3 G[1,7,2] + 4 G[1,7,3]
+ 5 G[1,7,4] + 6 G[1,7,5] + 7 G[1,7,6] + 8 G[1,7,7] + 9 G[1,7,8]
+ G[2,7,0] + 2 G[2,7,1] + 3 G[2,7,2] + 4 G[2,7,3] + 5 G[2,7,4]
+ 6 G[2,7,5] + 7 G[2,7,6] + 8 G[2,7,7] + 9 G[2,7,8] + G[3,7,0]
+ 2 G[3,7,1] + 3 G[3,7,2] + 4 G[3,7,3] + 5 G[3,7,4] + 6 G[3,7,5]
+ 7 G[3,7,6] + 8 G[3,7,7] + 9 G[3,7,8] = 17
ColUniqueness_at_(0,7): G[1,7,0] + G[2,7,0] + G[3,7,0] <= 1
ColUniqueness_at_(0,7): G[1,7,1] + G[2,7,1] + G[3,7,1] <= 1
ColUniqueness_at_(0,7): G[1,7,2] + G[2,7,2] + G[3,7,2] <= 1
ColUniqueness_at_(0,7): G[1,7,3] + G[2,7,3] + G[3,7,3] <= 1
ColUniqueness_at_(0,7): G[1,7,4] + G[2,7,4] + G[3,7,4] <= 1
ColUniqueness_at_(0,7): G[1,7,5] + G[2,7,5] + G[3,7,5] <= 1
ColUniqueness_at_(0,7): G[1,7,6] + G[2,7,6] + G[3,7,6] <= 1
ColUniqueness_at_(0,7): G[1,7,7] + G[2,7,7] + G[3,7,7] <= 1
ColUniqueness_at_(0,7): G[1,7,8] + G[2,7,8] + G[3,7,8] <= 1
Vertical_Sum_at_(0,8): G[1,8,0] + 2 G[1,8,1] + 3 G[1,8,2] + 4 G[1,8,3]
+ 5 G[1,8,4] + 6 G[1,8,5] + 7 G[1,8,6] + 8 G[1,8,7] + 9 G[1,8,8]
+ G[2,8,0] + 2 G[2,8,1] + 3 G[2,8,2] + 4 G[2,8,3] + 5 G[2,8,4]
+ 6 G[2,8,5] + 7 G[2,8,6] + 8 G[2,8,7] + 9 G[2,8,8] + G[3,8,0]
+ 2 G[3,8,1] + 3 G[3,8,2] + 4 G[3,8,3] + 5 G[3,8,4] + 6 G[3,8,5]
+ 7 G[3,8,6] + 8 G[3,8,7] + 9 G[3,8,8] + G[4,8,0] + 2 G[4,8,1]
+ 3 G[4,8,2] + 4 G[4,8,3] + 5 G[4,8,4] + 6 G[4,8,5] + 7 G[4,8,6]
+ 8 G[4,8,7] + 9 G[4,8,8] + G[5,8,0] + 2 G[5,8,1] + 3 G[5,8,2]
+ 4 G[5,8,3] + 5 G[5,8,4] + 6 G[5,8,5] + 7 G[5,8,6] + 8 G[5,8,7]
+ 9 G[5,8,8] + G[6,8,0] + 2 G[6,8,1] + 3 G[6,8,2] + 4 G[6,8,3]
+ 5 G[6,8,4] + 6 G[6,8,5] + 7 G[6,8,6] + 8 G[6,8,7] + 9 G[6,8,8] = 33
ColUniqueness_at_(0,8): G[1,8,0] + G[2,8,0] + G[3,8,0] + G[4,8,0]
+ G[5,8,0] + G[6,8,0] <= 1
ColUniqueness_at_(0,8): G[1,8,1] + G[2,8,1] + G[3,8,1] + G[4,8,1]
+ G[5,8,1] + G[6,8,1] <= 1
ColUniqueness_at_(0,8): G[1,8,2] + G[2,8,2] + G[3,8,2] + G[4,8,2]
+ G[5,8,2] + G[6,8,2] <= 1
ColUniqueness_at_(0,8): G[1,8,3] + G[2,8,3] + G[3,8,3] + G[4,8,3]
+ G[5,8,3] + G[6,8,3] <= 1
ColUniqueness_at_(0,8): G[1,8,4] + G[2,8,4] + G[3,8,4] + G[4,8,4]
+ G[5,8,4] + G[6,8,4] <= 1
ColUniqueness_at_(0,8): G[1,8,5] + G[2,8,5] + G[3,8,5] + G[4,8,5]
+ G[5,8,5] + G[6,8,5] <= 1
ColUniqueness_at_(0,8): G[1,8,6] + G[2,8,6] + G[3,8,6] + G[4,8,6]
+ G[5,8,6] + G[6,8,6] <= 1
ColUniqueness_at_(0,8): G[1,8,7] + G[2,8,7] + G[3,8,7] + G[4,8,7]
+ G[5,8,7] + G[6,8,7] <= 1
ColUniqueness_at_(0,8): G[1,8,8] + G[2,8,8] + G[3,8,8] + G[4,8,8]
+ G[5,8,8] + G[6,8,8] <= 1
Vertical_Sum_at_(0,9): G[1,9,0] + 2 G[1,9,1] + 3 G[1,9,2] + 4 G[1,9,3]
+ 5 G[1,9,4] + 6 G[1,9,5] + 7 G[1,9,6] + 8 G[1,9,7] + 9 G[1,9,8]
+ G[2,9,0] + 2 G[2,9,1] + 3 G[2,9,2] + 4 G[2,9,3] + 5 G[2,9,4]
+ 6 G[2,9,5] + 7 G[2,9,6] + 8 G[2,9,7] + 9 G[2,9,8] = 6
ColUniqueness_at_(0,9): G[1,9,0] + G[2,9,0] <= 1
ColUniqueness_at_(0,9): G[1,9,1] + G[2,9,1] <= 1
ColUniqueness_at_(0,9): G[1,9,2] + G[2,9,2] <= 1
ColUniqueness_at_(0,9): G[1,9,3] + G[2,9,3] <= 1
ColUniqueness_at_(0,9): G[1,9,4] + G[2,9,4] <= 1
ColUniqueness_at_(0,9): G[1,9,5] + G[2,9,5] <= 1
ColUniqueness_at_(0,9): G[1,9,6] + G[2,9,6] <= 1
ColUniqueness_at_(0,9): G[1,9,7] + G[2,9,7] <= 1
ColUniqueness_at_(0,9): G[1,9,8] + G[2,9,8] <= 1
RightSum_at_(1,1): G[1,2,0] + 2 G[1,2,1] + 3 G[1,2,2] + 4 G[1,2,3]
+ 5 G[1,2,4] + 6 G[1,2,5] + 7 G[1,2,6] + 8 G[1,2,7] + 9 G[1,2,8]
+ G[1,3,0] + 2 G[1,3,1] + 3 G[1,3,2] + 4 G[1,3,3] + 5 G[1,3,4]
+ 6 G[1,3,5] + 7 G[1,3,6] + 8 G[1,3,7] + 9 G[1,3,8] = 7
RowUniqueness_at_(1,1): G[1,2,0] + G[1,3,0] <= 1
RowUniqueness_at_(1,1): G[1,2,1] + G[1,3,1] <= 1
RowUniqueness_at_(1,1): G[1,2,2] + G[1,3,2] <= 1
RowUniqueness_at_(1,1): G[1,2,3] + G[1,3,3] <= 1
RowUniqueness_at_(1,1): G[1,2,4] + G[1,3,4] <= 1
RowUniqueness_at_(1,1): G[1,2,5] + G[1,3,5] <= 1
RowUniqueness_at_(1,1): G[1,2,6] + G[1,3,6] <= 1
RowUniqueness_at_(1,1): G[1,2,7] + G[1,3,7] <= 1
RowUniqueness_at_(1,1): G[1,2,8] + G[1,3,8] <= 1
MissingVal_at_(1,2): G[1,2,0] + G[1,2,1] + G[1,2,2] + G[1,2,3] + G[1,2,4]
+ G[1,2,5] + G[1,2,6] + G[1,2,7] + G[1,2,8] <= 1
MissingVal_at_(1,3): G[1,3,0] + G[1,3,1] + G[1,3,2] + G[1,3,3] + G[1,3,4]
+ G[1,3,5] + G[1,3,6] + G[1,3,7] + G[1,3,8] <= 1
Vertical_Sum_at_(1,4): G[2,4,0] + 2 G[2,4,1] + 3 G[2,4,2] + 4 G[2,4,3]
+ 5 G[2,4,4] + 6 G[2,4,5] + 7 G[2,4,6] + 8 G[2,4,7] + 9 G[2,4,8]
+ G[3,4,0] + 2 G[3,4,1] + 3 G[3,4,2] + 4 G[3,4,3] + 5 G[3,4,4]
+ 6 G[3,4,5] + 7 G[3,4,6] + 8 G[3,4,7] + 9 G[3,4,8] = 15
ColUniqueness_at_(1,4): G[2,4,0] + G[3,4,0] <= 1
ColUniqueness_at_(1,4): G[2,4,1] + G[3,4,1] <= 1
ColUniqueness_at_(1,4): G[2,4,2] + G[3,4,2] <= 1
ColUniqueness_at_(1,4): G[2,4,3] + G[3,4,3] <= 1
ColUniqueness_at_(1,4): G[2,4,4] + G[3,4,4] <= 1
ColUniqueness_at_(1,4): G[2,4,5] + G[3,4,5] <= 1
ColUniqueness_at_(1,4): G[2,4,6] + G[3,4,6] <= 1
ColUniqueness_at_(1,4): G[2,4,7] + G[3,4,7] <= 1
ColUniqueness_at_(1,4): G[2,4,8] + G[3,4,8] <= 1
RightSum_at_(1,4): G[1,5,0] + 2 G[1,5,1] + 3 G[1,5,2] + 4 G[1,5,3]
+ 5 G[1,5,4] + 6 G[1,5,5] + 7 G[1,5,6] + 8 G[1,5,7] + 9 G[1,5,8]
+ G[1,6,0] + 2 G[1,6,1] + 3 G[1,6,2] + 4 G[1,6,3] + 5 G[1,6,4]
+ 6 G[1,6,5] + 7 G[1,6,6] + 8 G[1,6,7] + 9 G[1,6,8] + G[1,7,0]
+ 2 G[1,7,1] + 3 G[1,7,2] + 4 G[1,7,3] + 5 G[1,7,4] + 6 G[1,7,5]
+ 7 G[1,7,6] + 8 G[1,7,7] + 9 G[1,7,8] + G[1,8,0] + 2 G[1,8,1]
+ 3 G[1,8,2] + 4 G[1,8,3] + 5 G[1,8,4] + 6 G[1,8,5] + 7 G[1,8,6]
+ 8 G[1,8,7] + 9 G[1,8,8] + G[1,9,0] + 2 G[1,9,1] + 3 G[1,9,2]
+ 4 G[1,9,3] + 5 G[1,9,4] + 6 G[1,9,5] + 7 G[1,9,6] + 8 G[1,9,7]
+ 9 G[1,9,8] = 35
RowUniqueness_at_(1,4): G[1,5,0] + G[1,6,0] + G[1,7,0] + G[1,8,0]
+ G[1,9,0] <= 1
RowUniqueness_at_(1,4): G[1,5,1] + G[1,6,1] + G[1,7,1] + G[1,8,1]
+ G[1,9,1] <= 1
RowUniqueness_at_(1,4): G[1,5,2] + G[1,6,2] + G[1,7,2] + G[1,8,2]
+ G[1,9,2] <= 1
RowUniqueness_at_(1,4): G[1,5,3] + G[1,6,3] + G[1,7,3] + G[1,8,3]
+ G[1,9,3] <= 1
RowUniqueness_at_(1,4): G[1,5,4] + G[1,6,4] + G[1,7,4] + G[1,8,4]
+ G[1,9,4] <= 1
RowUniqueness_at_(1,4): G[1,5,5] + G[1,6,5] + G[1,7,5] + G[1,8,5]
+ G[1,9,5] <= 1
RowUniqueness_at_(1,4): G[1,5,6] + G[1,6,6] + G[1,7,6] + G[1,8,6]
+ G[1,9,6] <= 1
RowUniqueness_at_(1,4): G[1,5,7] + G[1,6,7] + G[1,7,7] + G[1,8,7]
+ G[1,9,7] <= 1
RowUniqueness_at_(1,4): G[1,5,8] + G[1,6,8] + G[1,7,8] + G[1,8,8]
+ G[1,9,8] <= 1
MissingVal_at_(1,5): G[1,5,0] + G[1,5,1] + G[1,5,2] + G[1,5,3] + G[1,5,4]
+ G[1,5,5] + G[1,5,6] + G[1,5,7] + G[1,5,8] <= 1
MissingVal_at_(1,6): G[1,6,0] + G[1,6,1] + G[1,6,2] + G[1,6,3] + G[1,6,4]
+ G[1,6,5] + G[1,6,6] + G[1,6,7] + G[1,6,8] <= 1
MissingVal_at_(1,7): G[1,7,0] + G[1,7,1] + G[1,7,2] + G[1,7,3] + G[1,7,4]
+ G[1,7,5] + G[1,7,6] + G[1,7,7] + G[1,7,8] <= 1
MissingVal_at_(1,8): G[1,8,0] + G[1,8,1] + G[1,8,2] + G[1,8,3] + G[1,8,4]
+ G[1,8,5] + G[1,8,6] + G[1,8,7] + G[1,8,8] <= 1
MissingVal_at_(1,9): G[1,9,0] + G[1,9,1] + G[1,9,2] + G[1,9,3] + G[1,9,4]
+ G[1,9,5] + G[1,9,6] + G[1,9,7] + G[1,9,8] <= 1
Vertical_Sum_at_(2,1): G[3,1,0] + 2 G[3,1,1] + 3 G[3,1,2] + 4 G[3,1,3]
+ 5 G[3,1,4] + 6 G[3,1,5] + 7 G[3,1,6] + 8 G[3,1,7] + 9 G[3,1,8]
+ G[4,1,0] + 2 G[4,1,1] + 3 G[4,1,2] + 4 G[4,1,3] + 5 G[4,1,4]
+ 6 G[4,1,5] + 7 G[4,1,6] + 8 G[4,1,7] + 9 G[4,1,8] + G[5,1,0]
+ 2 G[5,1,1] + 3 G[5,1,2] + 4 G[5,1,3] + 5 G[5,1,4] + 6 G[5,1,5]
+ 7 G[5,1,6] + 8 G[5,1,7] + 9 G[5,1,8] = 8
ColUniqueness_at_(2,1): G[3,1,0] + G[4,1,0] + G[5,1,0] <= 1
ColUniqueness_at_(2,1): G[3,1,1] + G[4,1,1] + G[5,1,1] <= 1
ColUniqueness_at_(2,1): G[3,1,2] + G[4,1,2] + G[5,1,2] <= 1
ColUniqueness_at_(2,1): G[3,1,3] + G[4,1,3] + G[5,1,3] <= 1
ColUniqueness_at_(2,1): G[3,1,4] + G[4,1,4] + G[5,1,4] <= 1
ColUniqueness_at_(2,1): G[3,1,5] + G[4,1,5] + G[5,1,5] <= 1
ColUniqueness_at_(2,1): G[3,1,6] + G[4,1,6] + G[5,1,6] <= 1
ColUniqueness_at_(2,1): G[3,1,7] + G[4,1,7] + G[5,1,7] <= 1
ColUniqueness_at_(2,1): G[3,1,8] + G[4,1,8] + G[5,1,8] <= 1
RightSum_at_(2,1): G[2,2,0] + 2 G[2,2,1] + 3 G[2,2,2] + 4 G[2,2,3]
+ 5 G[2,2,4] + 6 G[2,2,5] + 7 G[2,2,6] + 8 G[2,2,7] + 9 G[2,2,8]
+ G[2,3,0] + 2 G[2,3,1] + 3 G[2,3,2] + 4 G[2,3,3] + 5 G[2,3,4]
+ 6 G[2,3,5] + 7 G[2,3,6] + 8 G[2,3,7] + 9 G[2,3,8] + G[2,4,0]
+ 2 G[2,4,1] + 3 G[2,4,2] + 4 G[2,4,3] + 5 G[2,4,4] + 6 G[2,4,5]
+ 7 G[2,4,6] + 8 G[2,4,7] + 9 G[2,4,8] + G[2,5,0] + 2 G[2,5,1]
+ 3 G[2,5,2] + 4 G[2,5,3] + 5 G[2,5,4] + 6 G[2,5,5] + 7 G[2,5,6]
+ 8 G[2,5,7] + 9 G[2,5,8] + G[2,6,0] + 2 G[2,6,1] + 3 G[2,6,2]
+ 4 G[2,6,3] + 5 G[2,6,4] + 6 G[2,6,5] + 7 G[2,6,6] + 8 G[2,6,7]
+ 9 G[2,6,8] + G[2,7,0] + 2 G[2,7,1] + 3 G[2,7,2] + 4 G[2,7,3]
+ 5 G[2,7,4] + 6 G[2,7,5] + 7 G[2,7,6] + 8 G[2,7,7] + 9 G[2,7,8]
+ G[2,8,0] + 2 G[2,8,1] + 3 G[2,8,2] + 4 G[2,8,3] + 5 G[2,8,4]
+ 6 G[2,8,5] + 7 G[2,8,6] + 8 G[2,8,7] + 9 G[2,8,8] + G[2,9,0]
+ 2 G[2,9,1] + 3 G[2,9,2] + 4 G[2,9,3] + 5 G[2,9,4] + 6 G[2,9,5]
+ 7 G[2,9,6] + 8 G[2,9,7] + 9 G[2,9,8] = 37
RowUniqueness_at_(2,1): G[2,2,0] + G[2,3,0] + G[2,4,0] + G[2,5,0]
+ G[2,6,0] + G[2,7,0] + G[2,8,0] + G[2,9,0] <= 1
RowUniqueness_at_(2,1): G[2,2,1] + G[2,3,1] + G[2,4,1] + G[2,5,1]
+ G[2,6,1] + G[2,7,1] + G[2,8,1] + G[2,9,1] <= 1
RowUniqueness_at_(2,1): G[2,2,2] + G[2,3,2] + G[2,4,2] + G[2,5,2]
+ G[2,6,2] + G[2,7,2] + G[2,8,2] + G[2,9,2] <= 1
RowUniqueness_at_(2,1): G[2,2,3] + G[2,3,3] + G[2,4,3] + G[2,5,3]
+ G[2,6,3] + G[2,7,3] + G[2,8,3] + G[2,9,3] <= 1
RowUniqueness_at_(2,1): G[2,2,4] + G[2,3,4] + G[2,4,4] + G[2,5,4]
+ G[2,6,4] + G[2,7,4] + G[2,8,4] + G[2,9,4] <= 1
RowUniqueness_at_(2,1): G[2,2,5] + G[2,3,5] + G[2,4,5] + G[2,5,5]
+ G[2,6,5] + G[2,7,5] + G[2,8,5] + G[2,9,5] <= 1
RowUniqueness_at_(2,1): G[2,2,6] + G[2,3,6] + G[2,4,6] + G[2,5,6]
+ G[2,6,6] + G[2,7,6] + G[2,8,6] + G[2,9,6] <= 1
RowUniqueness_at_(2,1): G[2,2,7] + G[2,3,7] + G[2,4,7] + G[2,5,7]
+ G[2,6,7] + G[2,7,7] + G[2,8,7] + G[2,9,7] <= 1
RowUniqueness_at_(2,1): G[2,2,8] + G[2,3,8] + G[2,4,8] + G[2,5,8]
+ G[2,6,8] + G[2,7,8] + G[2,8,8] + G[2,9,8] <= 1
MissingVal_at_(2,2): G[2,2,0] + G[2,2,1] + G[2,2,2] + G[2,2,3] + G[2,2,4]
+ G[2,2,5] + G[2,2,6] + G[2,2,7] + G[2,2,8] <= 1
MissingVal_at_(2,3): G[2,3,0] + G[2,3,1] + G[2,3,2] + G[2,3,3] + G[2,3,4]
+ G[2,3,5] + G[2,3,6] + G[2,3,7] + G[2,3,8] <= 1
MissingVal_at_(2,4): G[2,4,0] + G[2,4,1] + G[2,4,2] + G[2,4,3] + G[2,4,4]
+ G[2,4,5] + G[2,4,6] + G[2,4,7] + G[2,4,8] <= 1
MissingVal_at_(2,5): G[2,5,0] + G[2,5,1] + G[2,5,2] + G[2,5,3] + G[2,5,4]
+ G[2,5,5] + G[2,5,6] + G[2,5,7] + G[2,5,8] <= 1
MissingVal_at_(2,6): G[2,6,0] + G[2,6,1] + G[2,6,2] + G[2,6,3] + G[2,6,4]
+ G[2,6,5] + G[2,6,6] + G[2,6,7] + G[2,6,8] <= 1
MissingVal_at_(2,7): G[2,7,0] + G[2,7,1] + G[2,7,2] + G[2,7,3] + G[2,7,4]
+ G[2,7,5] + G[2,7,6] + G[2,7,7] + G[2,7,8] <= 1
MissingVal_at_(2,8): G[2,8,0] + G[2,8,1] + G[2,8,2] + G[2,8,3] + G[2,8,4]
+ G[2,8,5] + G[2,8,6] + G[2,8,7] + G[2,8,8] <= 1
MissingVal_at_(2,9): G[2,9,0] + G[2,9,1] + G[2,9,2] + G[2,9,3] + G[2,9,4]
+ G[2,9,5] + G[2,9,6] + G[2,9,7] + G[2,9,8] <= 1
RightSum_at_(3,0): G[3,1,0] + 2 G[3,1,1] + 3 G[3,1,2] + 4 G[3,1,3]
+ 5 G[3,1,4] + 6 G[3,1,5] + 7 G[3,1,6] + 8 G[3,1,7] + 9 G[3,1,8]
+ G[3,2,0] + 2 G[3,2,1] + 3 G[3,2,2] + 4 G[3,2,3] + 5 G[3,2,4]
+ 6 G[3,2,5] + 7 G[3,2,6] + 8 G[3,2,7] + 9 G[3,2,8] + G[3,3,0]
+ 2 G[3,3,1] + 3 G[3,3,2] + 4 G[3,3,3] + 5 G[3,3,4] + 6 G[3,3,5]
+ 7 G[3,3,6] + 8 G[3,3,7] + 9 G[3,3,8] + G[3,4,0] + 2 G[3,4,1]
+ 3 G[3,4,2] + 4 G[3,4,3] + 5 G[3,4,4] + 6 G[3,4,5] + 7 G[3,4,6]
+ 8 G[3,4,7] + 9 G[3,4,8] = 29
RowUniqueness_at_(3,0): G[3,1,0] + G[3,2,0] + G[3,3,0] + G[3,4,0] <= 1
RowUniqueness_at_(3,0): G[3,1,1] + G[3,2,1] + G[3,3,1] + G[3,4,1] <= 1
RowUniqueness_at_(3,0): G[3,1,2] + G[3,2,2] + G[3,3,2] + G[3,4,2] <= 1
RowUniqueness_at_(3,0): G[3,1,3] + G[3,2,3] + G[3,3,3] + G[3,4,3] <= 1
RowUniqueness_at_(3,0): G[3,1,4] + G[3,2,4] + G[3,3,4] + G[3,4,4] <= 1
RowUniqueness_at_(3,0): G[3,1,5] + G[3,2,5] + G[3,3,5] + G[3,4,5] <= 1
RowUniqueness_at_(3,0): G[3,1,6] + G[3,2,6] + G[3,3,6] + G[3,4,6] <= 1
RowUniqueness_at_(3,0): G[3,1,7] + G[3,2,7] + G[3,3,7] + G[3,4,7] <= 1
RowUniqueness_at_(3,0): G[3,1,8] + G[3,2,8] + G[3,3,8] + G[3,4,8] <= 1
MissingVal_at_(3,1): G[3,1,0] + G[3,1,1] + G[3,1,2] + G[3,1,3] + G[3,1,4]
+ G[3,1,5] + G[3,1,6] + G[3,1,7] + G[3,1,8] <= 1
MissingVal_at_(3,2): G[3,2,0] + G[3,2,1] + G[3,2,2] + G[3,2,3] + G[3,2,4]
+ G[3,2,5] + G[3,2,6] + G[3,2,7] + G[3,2,8] <= 1
MissingVal_at_(3,3): G[3,3,0] + G[3,3,1] + G[3,3,2] + G[3,3,3] + G[3,3,4]
+ G[3,3,5] + G[3,3,6] + G[3,3,7] + G[3,3,8] <= 1
MissingVal_at_(3,4): G[3,4,0] + G[3,4,1] + G[3,4,2] + G[3,4,3] + G[3,4,4]
+ G[3,4,5] + G[3,4,6] + G[3,4,7] + G[3,4,8] <= 1
Vertical_Sum_at_(3,5): G[4,5,0] + 2 G[4,5,1] + 3 G[4,5,2] + 4 G[4,5,3]
+ 5 G[4,5,4] + 6 G[4,5,5] + 7 G[4,5,6] + 8 G[4,5,7] + 9 G[4,5,8]
+ G[5,5,0] + 2 G[5,5,1] + 3 G[5,5,2] + 4 G[5,5,3] + 5 G[5,5,4]
+ 6 G[5,5,5] + 7 G[5,5,6] + 8 G[5,5,7] + 9 G[5,5,8] = 4
ColUniqueness_at_(3,5): G[4,5,0] + G[5,5,0] <= 1
ColUniqueness_at_(3,5): G[4,5,1] + G[5,5,1] <= 1
ColUniqueness_at_(3,5): G[4,5,2] + G[5,5,2] <= 1
ColUniqueness_at_(3,5): G[4,5,3] + G[5,5,3] <= 1
ColUniqueness_at_(3,5): G[4,5,4] + G[5,5,4] <= 1
ColUniqueness_at_(3,5): G[4,5,5] + G[5,5,5] <= 1
ColUniqueness_at_(3,5): G[4,5,6] + G[5,5,6] <= 1
ColUniqueness_at_(3,5): G[4,5,7] + G[5,5,7] <= 1
ColUniqueness_at_(3,5): G[4,5,8] + G[5,5,8] <= 1
Vertical_Sum_at_(3,6): G[4,6,0] + 2 G[4,6,1] + 3 G[4,6,2] + 4 G[4,6,3]
+ 5 G[4,6,4] + 6 G[4,6,5] + 7 G[4,6,6] + 8 G[4,6,7] + 9 G[4,6,8]
+ G[5,6,0] + 2 G[5,6,1] + 3 G[5,6,2] + 4 G[5,6,3] + 5 G[5,6,4]
+ 6 G[5,6,5] + 7 G[5,6,6] + 8 G[5,6,7] + 9 G[5,6,8] + G[6,6,0]
+ 2 G[6,6,1] + 3 G[6,6,2] + 4 G[6,6,3] + 5 G[6,6,4] + 6 G[6,6,5]
+ 7 G[6,6,6] + 8 G[6,6,7] + 9 G[6,6,8] + G[7,6,0] + 2 G[7,6,1]
+ 3 G[7,6,2] + 4 G[7,6,3] + 5 G[7,6,4] + 6 G[7,6,5] + 7 G[7,6,6]
+ 8 G[7,6,7] + 9 G[7,6,8] + G[8,6,0] + 2 G[8,6,1] + 3 G[8,6,2]
+ 4 G[8,6,3] + 5 G[8,6,4] + 6 G[8,6,5] + 7 G[8,6,6] + 8 G[8,6,7]
+ 9 G[8,6,8] + G[9,6,0] + 2 G[9,6,1] + 3 G[9,6,2] + 4 G[9,6,3]
+ 5 G[9,6,4] + 6 G[9,6,5] + 7 G[9,6,6] + 8 G[9,6,7] + 9 G[9,6,8] = 24
ColUniqueness_at_(3,6): G[4,6,0] + G[5,6,0] + G[6,6,0] + G[7,6,0]
+ G[8,6,0] + G[9,6,0] <= 1
ColUniqueness_at_(3,6): G[4,6,1] + G[5,6,1] + G[6,6,1] + G[7,6,1]
+ G[8,6,1] + G[9,6,1] <= 1
ColUniqueness_at_(3,6): G[4,6,2] + G[5,6,2] + G[6,6,2] + G[7,6,2]
+ G[8,6,2] + G[9,6,2] <= 1
ColUniqueness_at_(3,6): G[4,6,3] + G[5,6,3] + G[6,6,3] + G[7,6,3]
+ G[8,6,3] + G[9,6,3] <= 1
ColUniqueness_at_(3,6): G[4,6,4] + G[5,6,4] + G[6,6,4] + G[7,6,4]
+ G[8,6,4] + G[9,6,4] <= 1
ColUniqueness_at_(3,6): G[4,6,5] + G[5,6,5] + G[6,6,5] + G[7,6,5]
+ G[8,6,5] + G[9,6,5] <= 1
ColUniqueness_at_(3,6): G[4,6,6] + G[5,6,6] + G[6,6,6] + G[7,6,6]
+ G[8,6,6] + G[9,6,6] <= 1
ColUniqueness_at_(3,6): G[4,6,7] + G[5,6,7] + G[6,6,7] + G[7,6,7]
+ G[8,6,7] + G[9,6,7] <= 1
ColUniqueness_at_(3,6): G[4,6,8] + G[5,6,8] + G[6,6,8] + G[7,6,8]
+ G[8,6,8] + G[9,6,8] <= 1
RightSum_at_(3,6): G[3,7,0] + 2 G[3,7,1] + 3 G[3,7,2] + 4 G[3,7,3]
+ 5 G[3,7,4] + 6 G[3,7,5] + 7 G[3,7,6] + 8 G[3,7,7] + 9 G[3,7,8]
+ G[3,8,0] + 2 G[3,8,1] + 3 G[3,8,2] + 4 G[3,8,3] + 5 G[3,8,4]
+ 6 G[3,8,5] + 7 G[3,8,6] + 8 G[3,8,7] + 9 G[3,8,8] = 8
RowUniqueness_at_(3,6): G[3,7,0] + G[3,8,0] <= 1
RowUniqueness_at_(3,6): G[3,7,1] + G[3,8,1] <= 1
RowUniqueness_at_(3,6): G[3,7,2] + G[3,8,2] <= 1
RowUniqueness_at_(3,6): G[3,7,3] + G[3,8,3] <= 1
RowUniqueness_at_(3,6): G[3,7,4] + G[3,8,4] <= 1
RowUniqueness_at_(3,6): G[3,7,5] + G[3,8,5] <= 1
RowUniqueness_at_(3,6): G[3,7,6] + G[3,8,6] <= 1
RowUniqueness_at_(3,6): G[3,7,7] + G[3,8,7] <= 1
RowUniqueness_at_(3,6): G[3,7,8] + G[3,8,8] <= 1
MissingVal_at_(3,7): G[3,7,0] + G[3,7,1] + G[3,7,2] + G[3,7,3] + G[3,7,4]
+ G[3,7,5] + G[3,7,6] + G[3,7,7] + G[3,7,8] <= 1
MissingVal_at_(3,8): G[3,8,0] + G[3,8,1] + G[3,8,2] + G[3,8,3] + G[3,8,4]
+ G[3,8,5] + G[3,8,6] + G[3,8,7] + G[3,8,8] <= 1
Vertical_Sum_at_(3,9): G[4,9,0] + 2 G[4,9,1] + 3 G[4,9,2] + 4 G[4,9,3]
+ 5 G[4,9,4] + 6 G[4,9,5] + 7 G[4,9,6] + 8 G[4,9,7] + 9 G[4,9,8]
+ G[5,9,0] + 2 G[5,9,1] + 3 G[5,9,2] + 4 G[5,9,3] + 5 G[5,9,4]
+ 6 G[5,9,5] + 7 G[5,9,6] + 8 G[5,9,7] + 9 G[5,9,8] + G[6,9,0]
+ 2 G[6,9,1] + 3 G[6,9,2] + 4 G[6,9,3] + 5 G[6,9,4] + 6 G[6,9,5]
+ 7 G[6,9,6] + 8 G[6,9,7] + 9 G[6,9,8] = 18
ColUniqueness_at_(3,9): G[4,9,0] + G[5,9,0] + G[6,9,0] <= 1
ColUniqueness_at_(3,9): G[4,9,1] + G[5,9,1] + G[6,9,1] <= 1
ColUniqueness_at_(3,9): G[4,9,2] + G[5,9,2] + G[6,9,2] <= 1
ColUniqueness_at_(3,9): G[4,9,3] + G[5,9,3] + G[6,9,3] <= 1
ColUniqueness_at_(3,9): G[4,9,4] + G[5,9,4] + G[6,9,4] <= 1
ColUniqueness_at_(3,9): G[4,9,5] + G[5,9,5] + G[6,9,5] <= 1
ColUniqueness_at_(3,9): G[4,9,6] + G[5,9,6] + G[6,9,6] <= 1
ColUniqueness_at_(3,9): G[4,9,7] + G[5,9,7] + G[6,9,7] <= 1
ColUniqueness_at_(3,9): G[4,9,8] + G[5,9,8] + G[6,9,8] <= 1
RightSum_at_(4,0): G[4,1,0] + 2 G[4,1,1] + 3 G[4,1,2] + 4 G[4,1,3]
+ 5 G[4,1,4] + 6 G[4,1,5] + 7 G[4,1,6] + 8 G[4,1,7] + 9 G[4,1,8]
+ G[4,2,0] + 2 G[4,2,1] + 3 G[4,2,2] + 4 G[4,2,3] + 5 G[4,2,4]
+ 6 G[4,2,5] + 7 G[4,2,6] + 8 G[4,2,7] + 9 G[4,2,8] + G[4,3,0]
+ 2 G[4,3,1] + 3 G[4,3,2] + 4 G[4,3,3] + 5 G[4,3,4] + 6 G[4,3,5]
+ 7 G[4,3,6] + 8 G[4,3,7] + 9 G[4,3,8] = 6
RowUniqueness_at_(4,0): G[4,1,0] + G[4,2,0] + G[4,3,0] <= 1
RowUniqueness_at_(4,0): G[4,1,1] + G[4,2,1] + G[4,3,1] <= 1
RowUniqueness_at_(4,0): G[4,1,2] + G[4,2,2] + G[4,3,2] <= 1
RowUniqueness_at_(4,0): G[4,1,3] + G[4,2,3] + G[4,3,3] <= 1
RowUniqueness_at_(4,0): G[4,1,4] + G[4,2,4] + G[4,3,4] <= 1
RowUniqueness_at_(4,0): G[4,1,5] + G[4,2,5] + G[4,3,5] <= 1
RowUniqueness_at_(4,0): G[4,1,6] + G[4,2,6] + G[4,3,6] <= 1
RowUniqueness_at_(4,0): G[4,1,7] + G[4,2,7] + G[4,3,7] <= 1
RowUniqueness_at_(4,0): G[4,1,8] + G[4,2,8] + G[4,3,8] <= 1
MissingVal_at_(4,1): G[4,1,0] + G[4,1,1] + G[4,1,2] + G[4,1,3] + G[4,1,4]
+ G[4,1,5] + G[4,1,6] + G[4,1,7] + G[4,1,8] <= 1
MissingVal_at_(4,2): G[4,2,0] + G[4,2,1] + G[4,2,2] + G[4,2,3] + G[4,2,4]
+ G[4,2,5] + G[4,2,6] + G[4,2,7] + G[4,2,8] <= 1
MissingVal_at_(4,3): G[4,3,0] + G[4,3,1] + G[4,3,2] + G[4,3,3] + G[4,3,4]
+ G[4,3,5] + G[4,3,6] + G[4,3,7] + G[4,3,8] <= 1
Vertical_Sum_at_(4,4): G[5,4,0] + 2 G[5,4,1] + 3 G[5,4,2] + 4 G[5,4,3]
+ 5 G[5,4,4] + 6 G[5,4,5] + 7 G[5,4,6] + 8 G[5,4,7] + 9 G[5,4,8]
+ G[6,4,0] + 2 G[6,4,1] + 3 G[6,4,2] + 4 G[6,4,3] + 5 G[6,4,4]
+ 6 G[6,4,5] + 7 G[6,4,6] + 8 G[6,4,7] + 9 G[6,4,8] = 9
ColUniqueness_at_(4,4): G[5,4,0] + G[6,4,0] <= 1
ColUniqueness_at_(4,4): G[5,4,1] + G[6,4,1] <= 1
ColUniqueness_at_(4,4): G[5,4,2] + G[6,4,2] <= 1
ColUniqueness_at_(4,4): G[5,4,3] + G[6,4,3] <= 1
ColUniqueness_at_(4,4): G[5,4,4] + G[6,4,4] <= 1
ColUniqueness_at_(4,4): G[5,4,5] + G[6,4,5] <= 1
ColUniqueness_at_(4,4): G[5,4,6] + G[6,4,6] <= 1
ColUniqueness_at_(4,4): G[5,4,7] + G[6,4,7] <= 1
ColUniqueness_at_(4,4): G[5,4,8] + G[6,4,8] <= 1
RightSum_at_(4,4): G[4,5,0] + 2 G[4,5,1] + 3 G[4,5,2] + 4 G[4,5,3]
+ 5 G[4,5,4] + 6 G[4,5,5] + 7 G[4,5,6] + 8 G[4,5,7] + 9 G[4,5,8]
+ G[4,6,0] + 2 G[4,6,1] + 3 G[4,6,2] + 4 G[4,6,3] + 5 G[4,6,4]
+ 6 G[4,6,5] + 7 G[4,6,6] + 8 G[4,6,7] + 9 G[4,6,8] = 11
RowUniqueness_at_(4,4): G[4,5,0] + G[4,6,0] <= 1
RowUniqueness_at_(4,4): G[4,5,1] + G[4,6,1] <= 1
RowUniqueness_at_(4,4): G[4,5,2] + G[4,6,2] <= 1
RowUniqueness_at_(4,4): G[4,5,3] + G[4,6,3] <= 1
RowUniqueness_at_(4,4): G[4,5,4] + G[4,6,4] <= 1
RowUniqueness_at_(4,4): G[4,5,5] + G[4,6,5] <= 1
RowUniqueness_at_(4,4): G[4,5,6] + G[4,6,6] <= 1
RowUniqueness_at_(4,4): G[4,5,7] + G[4,6,7] <= 1
RowUniqueness_at_(4,4): G[4,5,8] + G[4,6,8] <= 1
MissingVal_at_(4,5): G[4,5,0] + G[4,5,1] + G[4,5,2] + G[4,5,3] + G[4,5,4]
+ G[4,5,5] + G[4,5,6] + G[4,5,7] + G[4,5,8] <= 1
MissingVal_at_(4,6): G[4,6,0] + G[4,6,1] + G[4,6,2] + G[4,6,3] + G[4,6,4]
+ G[4,6,5] + G[4,6,6] + G[4,6,7] + G[4,6,8] <= 1
Vertical_Sum_at_(4,7): G[5,7,0] + 2 G[5,7,1] + 3 G[5,7,2] + 4 G[5,7,3]
+ 5 G[5,7,4] + 6 G[5,7,5] + 7 G[5,7,6] + 8 G[5,7,7] + 9 G[5,7,8]
+ G[6,7,0] + 2 G[6,7,1] + 3 G[6,7,2] + 4 G[6,7,3] + 5 G[6,7,4]
+ 6 G[6,7,5] + 7 G[6,7,6] + 8 G[6,7,7] + 9 G[6,7,8] + G[7,7,0]
+ 2 G[7,7,1] + 3 G[7,7,2] + 4 G[7,7,3] + 5 G[7,7,4] + 6 G[7,7,5]
+ 7 G[7,7,6] + 8 G[7,7,7] + 9 G[7,7,8] + G[8,7,0] + 2 G[8,7,1]
+ 3 G[8,7,2] + 4 G[8,7,3] + 5 G[8,7,4] + 6 G[8,7,5] + 7 G[8,7,6]
+ 8 G[8,7,7] + 9 G[8,7,8] = 25
ColUniqueness_at_(4,7): G[5,7,0] + G[6,7,0] + G[7,7,0] + G[8,7,0] <= 1
ColUniqueness_at_(4,7): G[5,7,1] + G[6,7,1] + G[7,7,1] + G[8,7,1] <= 1
ColUniqueness_at_(4,7): G[5,7,2] + G[6,7,2] + G[7,7,2] + G[8,7,2] <= 1
ColUniqueness_at_(4,7): G[5,7,3] + G[6,7,3] + G[7,7,3] + G[8,7,3] <= 1
ColUniqueness_at_(4,7): G[5,7,4] + G[6,7,4] + G[7,7,4] + G[8,7,4] <= 1
ColUniqueness_at_(4,7): G[5,7,5] + G[6,7,5] + G[7,7,5] + G[8,7,5] <= 1
ColUniqueness_at_(4,7): G[5,7,6] + G[6,7,6] + G[7,7,6] + G[8,7,6] <= 1
ColUniqueness_at_(4,7): G[5,7,7] + G[6,7,7] + G[7,7,7] + G[8,7,7] <= 1
ColUniqueness_at_(4,7): G[5,7,8] + G[6,7,8] + G[7,7,8] + G[8,7,8] <= 1
RightSum_at_(4,7): G[4,8,0] + 2 G[4,8,1] + 3 G[4,8,2] + 4 G[4,8,3]
+ 5 G[4,8,4] + 6 G[4,8,5] + 7 G[4,8,6] + 8 G[4,8,7] + 9 G[4,8,8]
+ G[4,9,0] + 2 G[4,9,1] + 3 G[4,9,2] + 4 G[4,9,3] + 5 G[4,9,4]
+ 6 G[4,9,5] + 7 G[4,9,6] + 8 G[4,9,7] + 9 G[4,9,8] = 12
RowUniqueness_at_(4,7): G[4,8,0] + G[4,9,0] <= 1
RowUniqueness_at_(4,7): G[4,8,1] + G[4,9,1] <= 1
RowUniqueness_at_(4,7): G[4,8,2] + G[4,9,2] <= 1
RowUniqueness_at_(4,7): G[4,8,3] + G[4,9,3] <= 1
RowUniqueness_at_(4,7): G[4,8,4] + G[4,9,4] <= 1
RowUniqueness_at_(4,7): G[4,8,5] + G[4,9,5] <= 1
RowUniqueness_at_(4,7): G[4,8,6] + G[4,9,6] <= 1
RowUniqueness_at_(4,7): G[4,8,7] + G[4,9,7] <= 1
RowUniqueness_at_(4,7): G[4,8,8] + G[4,9,8] <= 1
MissingVal_at_(4,8): G[4,8,0] + G[4,8,1] + G[4,8,2] + G[4,8,3] + G[4,8,4]
+ G[4,8,5] + G[4,8,6] + G[4,8,7] + G[4,8,8] <= 1
MissingVal_at_(4,9): G[4,9,0] + G[4,9,1] + G[4,9,2] + G[4,9,3] + G[4,9,4]
+ G[4,9,5] + G[4,9,6] + G[4,9,7] + G[4,9,8] <= 1
RightSum_at_(5,0): G[5,1,0] + 2 G[5,1,1] + 3 G[5,1,2] + 4 G[5,1,3]
+ 5 G[5,1,4] + 6 G[5,1,5] + 7 G[5,1,6] + 8 G[5,1,7] + 9 G[5,1,8]
+ G[5,2,0] + 2 G[5,2,1] + 3 G[5,2,2] + 4 G[5,2,3] + 5 G[5,2,4]
+ 6 G[5,2,5] + 7 G[5,2,6] + 8 G[5,2,7] + 9 G[5,2,8] = 4
RowUniqueness_at_(5,0): G[5,1,0] + G[5,2,0] <= 1
RowUniqueness_at_(5,0): G[5,1,1] + G[5,2,1] <= 1
RowUniqueness_at_(5,0): G[5,1,2] + G[5,2,2] <= 1
RowUniqueness_at_(5,0): G[5,1,3] + G[5,2,3] <= 1
RowUniqueness_at_(5,0): G[5,1,4] + G[5,2,4] <= 1
RowUniqueness_at_(5,0): G[5,1,5] + G[5,2,5] <= 1
RowUniqueness_at_(5,0): G[5,1,6] + G[5,2,6] <= 1
RowUniqueness_at_(5,0): G[5,1,7] + G[5,2,7] <= 1
RowUniqueness_at_(5,0): G[5,1,8] + G[5,2,8] <= 1
MissingVal_at_(5,1): G[5,1,0] + G[5,1,1] + G[5,1,2] + G[5,1,3] + G[5,1,4]
+ G[5,1,5] + G[5,1,6] + G[5,1,7] + G[5,1,8] <= 1
MissingVal_at_(5,2): G[5,2,0] + G[5,2,1] + G[5,2,2] + G[5,2,3] + G[5,2,4]
+ G[5,2,5] + G[5,2,6] + G[5,2,7] + G[5,2,8] <= 1
Vertical_Sum_at_(5,3): G[6,3,0] + 2 G[6,3,1] + 3 G[6,3,2] + 4 G[6,3,3]
+ 5 G[6,3,4] + 6 G[6,3,5] + 7 G[6,3,6] + 8 G[6,3,7] + 9 G[6,3,8]
+ G[7,3,0] + 2 G[7,3,1] + 3 G[7,3,2] + 4 G[7,3,3] + 5 G[7,3,4]
+ 6 G[7,3,5] + 7 G[7,3,6] + 8 G[7,3,7] + 9 G[7,3,8] = 6
ColUniqueness_at_(5,3): G[6,3,0] + G[7,3,0] <= 1
ColUniqueness_at_(5,3): G[6,3,1] + G[7,3,1] <= 1
ColUniqueness_at_(5,3): G[6,3,2] + G[7,3,2] <= 1
ColUniqueness_at_(5,3): G[6,3,3] + G[7,3,3] <= 1
ColUniqueness_at_(5,3): G[6,3,4] + G[7,3,4] <= 1
ColUniqueness_at_(5,3): G[6,3,5] + G[7,3,5] <= 1
ColUniqueness_at_(5,3): G[6,3,6] + G[7,3,6] <= 1
ColUniqueness_at_(5,3): G[6,3,7] + G[7,3,7] <= 1
ColUniqueness_at_(5,3): G[6,3,8] + G[7,3,8] <= 1
RightSum_at_(5,3): G[5,4,0] + 2 G[5,4,1] + 3 G[5,4,2] + 4 G[5,4,3]
+ 5 G[5,4,4] + 6 G[5,4,5] + 7 G[5,4,6] + 8 G[5,4,7] + 9 G[5,4,8]
+ G[5,5,0] + 2 G[5,5,1] + 3 G[5,5,2] + 4 G[5,5,3] + 5 G[5,5,4]
+ 6 G[5,5,5] + 7 G[5,5,6] + 8 G[5,5,7] + 9 G[5,5,8] + G[5,6,0]
+ 2 G[5,6,1] + 3 G[5,6,2] + 4 G[5,6,3] + 5 G[5,6,4] + 6 G[5,6,5]
+ 7 G[5,6,6] + 8 G[5,6,7] + 9 G[5,6,8] + G[5,7,0] + 2 G[5,7,1]
+ 3 G[5,7,2] + 4 G[5,7,3] + 5 G[5,7,4] + 6 G[5,7,5] + 7 G[5,7,6]
+ 8 G[5,7,7] + 9 G[5,7,8] + G[5,8,0] + 2 G[5,8,1] + 3 G[5,8,2]
+ 4 G[5,8,3] + 5 G[5,8,4] + 6 G[5,8,5] + 7 G[5,8,6] + 8 G[5,8,7]
+ 9 G[5,8,8] + G[5,9,0] + 2 G[5,9,1] + 3 G[5,9,2] + 4 G[5,9,3]
+ 5 G[5,9,4] + 6 G[5,9,5] + 7 G[5,9,6] + 8 G[5,9,7] + 9 G[5,9,8] = 36
RowUniqueness_at_(5,3): G[5,4,0] + G[5,5,0] + G[5,6,0] + G[5,7,0]
+ G[5,8,0] + G[5,9,0] <= 1
RowUniqueness_at_(5,3): G[5,4,1] + G[5,5,1] + G[5,6,1] + G[5,7,1]
+ G[5,8,1] + G[5,9,1] <= 1
RowUniqueness_at_(5,3): G[5,4,2] + G[5,5,2] + G[5,6,2] + G[5,7,2]
+ G[5,8,2] + G[5,9,2] <= 1
RowUniqueness_at_(5,3): G[5,4,3] + G[5,5,3] + G[5,6,3] + G[5,7,3]
+ G[5,8,3] + G[5,9,3] <= 1
RowUniqueness_at_(5,3): G[5,4,4] + G[5,5,4] + G[5,6,4] + G[5,7,4]
+ G[5,8,4] + G[5,9,4] <= 1
RowUniqueness_at_(5,3): G[5,4,5] + G[5,5,5] + G[5,6,5] + G[5,7,5]
+ G[5,8,5] + G[5,9,5] <= 1
RowUniqueness_at_(5,3): G[5,4,6] + G[5,5,6] + G[5,6,6] + G[5,7,6]
+ G[5,8,6] + G[5,9,6] <= 1
RowUniqueness_at_(5,3): G[5,4,7] + G[5,5,7] + G[5,6,7] + G[5,7,7]
+ G[5,8,7] + G[5,9,7] <= 1
RowUniqueness_at_(5,3): G[5,4,8] + G[5,5,8] + G[5,6,8] + G[5,7,8]
+ G[5,8,8] + G[5,9,8] <= 1
MissingVal_at_(5,4): G[5,4,0] + G[5,4,1] + G[5,4,2] + G[5,4,3] + G[5,4,4]
+ G[5,4,5] + G[5,4,6] + G[5,4,7] + G[5,4,8] <= 1
MissingVal_at_(5,5): G[5,5,0] + G[5,5,1] + G[5,5,2] + G[5,5,3] + G[5,5,4]
+ G[5,5,5] + G[5,5,6] + G[5,5,7] + G[5,5,8] <= 1
MissingVal_at_(5,6): G[5,6,0] + G[5,6,1] + G[5,6,2] + G[5,6,3] + G[5,6,4]
+ G[5,6,5] + G[5,6,6] + G[5,6,7] + G[5,6,8] <= 1
MissingVal_at_(5,7): G[5,7,0] + G[5,7,1] + G[5,7,2] + G[5,7,3] + G[5,7,4]
+ G[5,7,5] + G[5,7,6] + G[5,7,7] + G[5,7,8] <= 1
MissingVal_at_(5,8): G[5,8,0] + G[5,8,1] + G[5,8,2] + G[5,8,3] + G[5,8,4]
+ G[5,8,5] + G[5,8,6] + G[5,8,7] + G[5,8,8] <= 1
MissingVal_at_(5,9): G[5,9,0] + G[5,9,1] + G[5,9,2] + G[5,9,3] + G[5,9,4]
+ G[5,9,5] + G[5,9,6] + G[5,9,7] + G[5,9,8] <= 1
Vertical_Sum_at_(6,2): G[7,2,0] + 2 G[7,2,1] + 3 G[7,2,2] + 4 G[7,2,3]
+ 5 G[7,2,4] + 6 G[7,2,5] + 7 G[7,2,6] + 8 G[7,2,7] + 9 G[7,2,8]
+ G[8,2,0] + 2 G[8,2,1] + 3 G[8,2,2] + 4 G[8,2,3] + 5 G[8,2,4]
+ 6 G[8,2,5] + 7 G[8,2,6] + 8 G[8,2,7] + 9 G[8,2,8] + G[9,2,0]
+ 2 G[9,2,1] + 3 G[9,2,2] + 4 G[9,2,3] + 5 G[9,2,4] + 6 G[9,2,5]
+ 7 G[9,2,6] + 8 G[9,2,7] + 9 G[9,2,8] + G[10,2,0] + 2 G[10,2,1]
+ 3 G[10,2,2] + 4 G[10,2,3] + 5 G[10,2,4] + 6 G[10,2,5] + 7 G[10,2,6]
+ 8 G[10,2,7] + 9 G[10,2,8] = 27
ColUniqueness_at_(6,2): G[7,2,0] + G[8,2,0] + G[9,2,0] + G[10,2,0] <= 1
ColUniqueness_at_(6,2): G[7,2,1] + G[8,2,1] + G[9,2,1] + G[10,2,1] <= 1
ColUniqueness_at_(6,2): G[7,2,2] + G[8,2,2] + G[9,2,2] + G[10,2,2] <= 1
ColUniqueness_at_(6,2): G[7,2,3] + G[8,2,3] + G[9,2,3] + G[10,2,3] <= 1
ColUniqueness_at_(6,2): G[7,2,4] + G[8,2,4] + G[9,2,4] + G[10,2,4] <= 1
ColUniqueness_at_(6,2): G[7,2,5] + G[8,2,5] + G[9,2,5] + G[10,2,5] <= 1
ColUniqueness_at_(6,2): G[7,2,6] + G[8,2,6] + G[9,2,6] + G[10,2,6] <= 1
ColUniqueness_at_(6,2): G[7,2,7] + G[8,2,7] + G[9,2,7] + G[10,2,7] <= 1
ColUniqueness_at_(6,2): G[7,2,8] + G[8,2,8] + G[9,2,8] + G[10,2,8] <= 1
RightSum_at_(6,2): G[6,3,0] + 2 G[6,3,1] + 3 G[6,3,2] + 4 G[6,3,3]
+ 5 G[6,3,4] + 6 G[6,3,5] + 7 G[6,3,6] + 8 G[6,3,7] + 9 G[6,3,8]
+ G[6,4,0] + 2 G[6,4,1] + 3 G[6,4,2] + 4 G[6,4,3] + 5 G[6,4,4]
+ 6 G[6,4,5] + 7 G[6,4,6] + 8 G[6,4,7] + 9 G[6,4,8] = 6
RowUniqueness_at_(6,2): G[6,3,0] + G[6,4,0] <= 1
RowUniqueness_at_(6,2): G[6,3,1] + G[6,4,1] <= 1
RowUniqueness_at_(6,2): G[6,3,2] + G[6,4,2] <= 1
RowUniqueness_at_(6,2): G[6,3,3] + G[6,4,3] <= 1
RowUniqueness_at_(6,2): G[6,3,4] + G[6,4,4] <= 1
RowUniqueness_at_(6,2): G[6,3,5] + G[6,4,5] <= 1
RowUniqueness_at_(6,2): G[6,3,6] + G[6,4,6] <= 1
RowUniqueness_at_(6,2): G[6,3,7] + G[6,4,7] <= 1
RowUniqueness_at_(6,2): G[6,3,8] + G[6,4,8] <= 1
MissingVal_at_(6,3): G[6,3,0] + G[6,3,1] + G[6,3,2] + G[6,3,3] + G[6,3,4]
+ G[6,3,5] + G[6,3,6] + G[6,3,7] + G[6,3,8] <= 1
MissingVal_at_(6,4): G[6,4,0] + G[6,4,1] + G[6,4,2] + G[6,4,3] + G[6,4,4]
+ G[6,4,5] + G[6,4,6] + G[6,4,7] + G[6,4,8] <= 1
Vertical_Sum_at_(6,5): G[7,5,0] + 2 G[7,5,1] + 3 G[7,5,2] + 4 G[7,5,3]
+ 5 G[7,5,4] + 6 G[7,5,5] + 7 G[7,5,6] + 8 G[7,5,7] + 9 G[7,5,8]
+ G[8,5,0] + 2 G[8,5,1] + 3 G[8,5,2] + 4 G[8,5,3] + 5 G[8,5,4]
+ 6 G[8,5,5] + 7 G[8,5,6] + 8 G[8,5,7] + 9 G[8,5,8] + G[9,5,0]
+ 2 G[9,5,1] + 3 G[9,5,2] + 4 G[9,5,3] + 5 G[9,5,4] + 6 G[9,5,5]
+ 7 G[9,5,6] + 8 G[9,5,7] + 9 G[9,5,8] + G[10,5,0] + 2 G[10,5,1]
+ 3 G[10,5,2] + 4 G[10,5,3] + 5 G[10,5,4] + 6 G[10,5,5] + 7 G[10,5,6]
+ 8 G[10,5,7] + 9 G[10,5,8] + G[11,5,0] + 2 G[11,5,1] + 3 G[11,5,2]
+ 4 G[11,5,3] + 5 G[11,5,4] + 6 G[11,5,5] + 7 G[11,5,6] + 8 G[11,5,7]
+ 9 G[11,5,8] = 27
ColUniqueness_at_(6,5): G[7,5,0] + G[8,5,0] + G[9,5,0] + G[10,5,0]
+ G[11,5,0] <= 1
ColUniqueness_at_(6,5): G[7,5,1] + G[8,5,1] + G[9,5,1] + G[10,5,1]
+ G[11,5,1] <= 1
ColUniqueness_at_(6,5): G[7,5,2] + G[8,5,2] + G[9,5,2] + G[10,5,2]
+ G[11,5,2] <= 1
ColUniqueness_at_(6,5): G[7,5,3] + G[8,5,3] + G[9,5,3] + G[10,5,3]
+ G[11,5,3] <= 1
ColUniqueness_at_(6,5): G[7,5,4] + G[8,5,4] + G[9,5,4] + G[10,5,4]
+ G[11,5,4] <= 1
ColUniqueness_at_(6,5): G[7,5,5] + G[8,5,5] + G[9,5,5] + G[10,5,5]
+ G[11,5,5] <= 1
ColUniqueness_at_(6,5): G[7,5,6] + G[8,5,6] + G[9,5,6] + G[10,5,6]
+ G[11,5,6] <= 1
ColUniqueness_at_(6,5): G[7,5,7] + G[8,5,7] + G[9,5,7] + G[10,5,7]
+ G[11,5,7] <= 1
ColUniqueness_at_(6,5): G[7,5,8] + G[8,5,8] + G[9,5,8] + G[10,5,8]
+ G[11,5,8] <= 1
RightSum_at_(6,5): G[6,6,0] + 2 G[6,6,1] + 3 G[6,6,2] + 4 G[6,6,3]
+ 5 G[6,6,4] + 6 G[6,6,5] + 7 G[6,6,6] + 8 G[6,6,7] + 9 G[6,6,8]
+ G[6,7,0] + 2 G[6,7,1] + 3 G[6,7,2] + 4 G[6,7,3] + 5 G[6,7,4]
+ 6 G[6,7,5] + 7 G[6,7,6] + 8 G[6,7,7] + 9 G[6,7,8] + G[6,8,0]
+ 2 G[6,8,1] + 3 G[6,8,2] + 4 G[6,8,3] + 5 G[6,8,4] + 6 G[6,8,5]
+ 7 G[6,8,6] + 8 G[6,8,7] + 9 G[6,8,8] + G[6,9,0] + 2 G[6,9,1]
+ 3 G[6,9,2] + 4 G[6,9,3] + 5 G[6,9,4] + 6 G[6,9,5] + 7 G[6,9,6]
+ 8 G[6,9,7] + 9 G[6,9,8] = 15
RowUniqueness_at_(6,5): G[6,6,0] + G[6,7,0] + G[6,8,0] + G[6,9,0] <= 1
RowUniqueness_at_(6,5): G[6,6,1] + G[6,7,1] + G[6,8,1] + G[6,9,1] <= 1
RowUniqueness_at_(6,5): G[6,6,2] + G[6,7,2] + G[6,8,2] + G[6,9,2] <= 1
RowUniqueness_at_(6,5): G[6,6,3] + G[6,7,3] + G[6,8,3] + G[6,9,3] <= 1
RowUniqueness_at_(6,5): G[6,6,4] + G[6,7,4] + G[6,8,4] + G[6,9,4] <= 1
RowUniqueness_at_(6,5): G[6,6,5] + G[6,7,5] + G[6,8,5] + G[6,9,5] <= 1
RowUniqueness_at_(6,5): G[6,6,6] + G[6,7,6] + G[6,8,6] + G[6,9,6] <= 1
RowUniqueness_at_(6,5): G[6,6,7] + G[6,7,7] + G[6,8,7] + G[6,9,7] <= 1
RowUniqueness_at_(6,5): G[6,6,8] + G[6,7,8] + G[6,8,8] + G[6,9,8] <= 1
MissingVal_at_(6,6): G[6,6,0] + G[6,6,1] + G[6,6,2] + G[6,6,3] + G[6,6,4]
+ G[6,6,5] + G[6,6,6] + G[6,6,7] + G[6,6,8] <= 1
MissingVal_at_(6,7): G[6,7,0] + G[6,7,1] + G[6,7,2] + G[6,7,3] + G[6,7,4]
+ G[6,7,5] + G[6,7,6] + G[6,7,7] + G[6,7,8] <= 1
MissingVal_at_(6,8): G[6,8,0] + G[6,8,1] + G[6,8,2] + G[6,8,3] + G[6,8,4]
+ G[6,8,5] + G[6,8,6] + G[6,8,7] + G[6,8,8] <= 1
MissingVal_at_(6,9): G[6,9,0] + G[6,9,1] + G[6,9,2] + G[6,9,3] + G[6,9,4]
+ G[6,9,5] + G[6,9,6] + G[6,9,7] + G[6,9,8] <= 1
Vertical_Sum_at_(7,1): G[8,1,0] + 2 G[8,1,1] + 3 G[8,1,2] + 4 G[8,1,3]
+ 5 G[8,1,4] + 6 G[8,1,5] + 7 G[8,1,6] + 8 G[8,1,7] + 9 G[8,1,8]
+ G[9,1,0] + 2 G[9,1,1] + 3 G[9,1,2] + 4 G[9,1,3] + 5 G[9,1,4]
+ 6 G[9,1,5] + 7 G[9,1,6] + 8 G[9,1,7] + 9 G[9,1,8] = 7
ColUniqueness_at_(7,1): G[8,1,0] + G[9,1,0] <= 1
ColUniqueness_at_(7,1): G[8,1,1] + G[9,1,1] <= 1
ColUniqueness_at_(7,1): G[8,1,2] + G[9,1,2] <= 1
ColUniqueness_at_(7,1): G[8,1,3] + G[9,1,3] <= 1
ColUniqueness_at_(7,1): G[8,1,4] + G[9,1,4] <= 1
ColUniqueness_at_(7,1): G[8,1,5] + G[9,1,5] <= 1
ColUniqueness_at_(7,1): G[8,1,6] + G[9,1,6] <= 1
ColUniqueness_at_(7,1): G[8,1,7] + G[9,1,7] <= 1
ColUniqueness_at_(7,1): G[8,1,8] + G[9,1,8] <= 1
RightSum_at_(7,1): G[7,2,0] + 2 G[7,2,1] + 3 G[7,2,2] + 4 G[7,2,3]
+ 5 G[7,2,4] + 6 G[7,2,5] + 7 G[7,2,6] + 8 G[7,2,7] + 9 G[7,2,8]
+ G[7,3,0] + 2 G[7,3,1] + 3 G[7,3,2] + 4 G[7,3,3] + 5 G[7,3,4]
+ 6 G[7,3,5] + 7 G[7,3,6] + 8 G[7,3,7] + 9 G[7,3,8] = 4
RowUniqueness_at_(7,1): G[7,2,0] + G[7,3,0] <= 1
RowUniqueness_at_(7,1): G[7,2,1] + G[7,3,1] <= 1
RowUniqueness_at_(7,1): G[7,2,2] + G[7,3,2] <= 1
RowUniqueness_at_(7,1): G[7,2,3] + G[7,3,3] <= 1
RowUniqueness_at_(7,1): G[7,2,4] + G[7,3,4] <= 1
RowUniqueness_at_(7,1): G[7,2,5] + G[7,3,5] <= 1
RowUniqueness_at_(7,1): G[7,2,6] + G[7,3,6] <= 1
RowUniqueness_at_(7,1): G[7,2,7] + G[7,3,7] <= 1
RowUniqueness_at_(7,1): G[7,2,8] + G[7,3,8] <= 1
MissingVal_at_(7,2): G[7,2,0] + G[7,2,1] + G[7,2,2] + G[7,2,3] + G[7,2,4]
+ G[7,2,5] + G[7,2,6] + G[7,2,7] + G[7,2,8] <= 1
MissingVal_at_(7,3): G[7,3,0] + G[7,3,1] + G[7,3,2] + G[7,3,3] + G[7,3,4]
+ G[7,3,5] + G[7,3,6] + G[7,3,7] + G[7,3,8] <= 1
RightSum_at_(7,4): G[7,5,0] + 2 G[7,5,1] + 3 G[7,5,2] + 4 G[7,5,3]
+ 5 G[7,5,4] + 6 G[7,5,5] + 7 G[7,5,6] + 8 G[7,5,7] + 9 G[7,5,8]
+ G[7,6,0] + 2 G[7,6,1] + 3 G[7,6,2] + 4 G[7,6,3] + 5 G[7,6,4]
+ 6 G[7,6,5] + 7 G[7,6,6] + 8 G[7,6,7] + 9 G[7,6,8] + G[7,7,0]
+ 2 G[7,7,1] + 3 G[7,7,2] + 4 G[7,7,3] + 5 G[7,7,4] + 6 G[7,7,5]
+ 7 G[7,7,6] + 8 G[7,7,7] + 9 G[7,7,8] = 11
RowUniqueness_at_(7,4): G[7,5,0] + G[7,6,0] + G[7,7,0] <= 1
RowUniqueness_at_(7,4): G[7,5,1] + G[7,6,1] + G[7,7,1] <= 1
RowUniqueness_at_(7,4): G[7,5,2] + G[7,6,2] + G[7,7,2] <= 1
RowUniqueness_at_(7,4): G[7,5,3] + G[7,6,3] + G[7,7,3] <= 1
RowUniqueness_at_(7,4): G[7,5,4] + G[7,6,4] + G[7,7,4] <= 1
RowUniqueness_at_(7,4): G[7,5,5] + G[7,6,5] + G[7,7,5] <= 1
RowUniqueness_at_(7,4): G[7,5,6] + G[7,6,6] + G[7,7,6] <= 1
RowUniqueness_at_(7,4): G[7,5,7] + G[7,6,7] + G[7,7,7] <= 1
RowUniqueness_at_(7,4): G[7,5,8] + G[7,6,8] + G[7,7,8] <= 1
MissingVal_at_(7,5): G[7,5,0] + G[7,5,1] + G[7,5,2] + G[7,5,3] + G[7,5,4]
+ G[7,5,5] + G[7,5,6] + G[7,5,7] + G[7,5,8] <= 1
MissingVal_at_(7,6): G[7,6,0] + G[7,6,1] + G[7,6,2] + G[7,6,3] + G[7,6,4]
+ G[7,6,5] + G[7,6,6] + G[7,6,7] + G[7,6,8] <= 1
MissingVal_at_(7,7): G[7,7,0] + G[7,7,1] + G[7,7,2] + G[7,7,3] + G[7,7,4]
+ G[7,7,5] + G[7,7,6] + G[7,7,7] + G[7,7,8] <= 1
Vertical_Sum_at_(7,8): G[8,8,0] + 2 G[8,8,1] + 3 G[8,8,2] + 4 G[8,8,3]
+ 5 G[8,8,4] + 6 G[8,8,5] + 7 G[8,8,6] + 8 G[8,8,7] + 9 G[8,8,8]
+ G[9,8,0] + 2 G[9,8,1] + 3 G[9,8,2] + 4 G[9,8,3] + 5 G[9,8,4]
+ 6 G[9,8,5] + 7 G[9,8,6] + 8 G[9,8,7] + 9 G[9,8,8] + G[10,8,0]
+ 2 G[10,8,1] + 3 G[10,8,2] + 4 G[10,8,3] + 5 G[10,8,4] + 6 G[10,8,5]
+ 7 G[10,8,6] + 8 G[10,8,7] + 9 G[10,8,8] + G[11,8,0] + 2 G[11,8,1]
+ 3 G[11,8,2] + 4 G[11,8,3] + 5 G[11,8,4] + 6 G[11,8,5] + 7 G[11,8,6]
+ 8 G[11,8,7] + 9 G[11,8,8] = 11
ColUniqueness_at_(7,8): G[8,8,0] + G[9,8,0] + G[10,8,0] + G[11,8,0] <= 1
ColUniqueness_at_(7,8): G[8,8,1] + G[9,8,1] + G[10,8,1] + G[11,8,1] <= 1
ColUniqueness_at_(7,8): G[8,8,2] + G[9,8,2] + G[10,8,2] + G[11,8,2] <= 1
ColUniqueness_at_(7,8): G[8,8,3] + G[9,8,3] + G[10,8,3] + G[11,8,3] <= 1
ColUniqueness_at_(7,8): G[8,8,4] + G[9,8,4] + G[10,8,4] + G[11,8,4] <= 1
ColUniqueness_at_(7,8): G[8,8,5] + G[9,8,5] + G[10,8,5] + G[11,8,5] <= 1
ColUniqueness_at_(7,8): G[8,8,6] + G[9,8,6] + G[10,8,6] + G[11,8,6] <= 1
ColUniqueness_at_(7,8): G[8,8,7] + G[9,8,7] + G[10,8,7] + G[11,8,7] <= 1
ColUniqueness_at_(7,8): G[8,8,8] + G[9,8,8] + G[10,8,8] + G[11,8,8] <= 1
RightSum_at_(8,0): G[8,1,0] + 2 G[8,1,1] + 3 G[8,1,2] + 4 G[8,1,3]
+ 5 G[8,1,4] + 6 G[8,1,5] + 7 G[8,1,6] + 8 G[8,1,7] + 9 G[8,1,8]
+ G[8,2,0] + 2 G[8,2,1] + 3 G[8,2,2] + 4 G[8,2,3] + 5 G[8,2,4]
+ 6 G[8,2,5] + 7 G[8,2,6] + 8 G[8,2,7] + 9 G[8,2,8] = 8
RowUniqueness_at_(8,0): G[8,1,0] + G[8,2,0] <= 1
RowUniqueness_at_(8,0): G[8,1,1] + G[8,2,1] <= 1
RowUniqueness_at_(8,0): G[8,1,2] + G[8,2,2] <= 1
RowUniqueness_at_(8,0): G[8,1,3] + G[8,2,3] <= 1
RowUniqueness_at_(8,0): G[8,1,4] + G[8,2,4] <= 1
RowUniqueness_at_(8,0): G[8,1,5] + G[8,2,5] <= 1
RowUniqueness_at_(8,0): G[8,1,6] + G[8,2,6] <= 1
RowUniqueness_at_(8,0): G[8,1,7] + G[8,2,7] <= 1
RowUniqueness_at_(8,0): G[8,1,8] + G[8,2,8] <= 1
MissingVal_at_(8,1): G[8,1,0] + G[8,1,1] + G[8,1,2] + G[8,1,3] + G[8,1,4]
+ G[8,1,5] + G[8,1,6] + G[8,1,7] + G[8,1,8] <= 1
MissingVal_at_(8,2): G[8,2,0] + G[8,2,1] + G[8,2,2] + G[8,2,3] + G[8,2,4]
+ G[8,2,5] + G[8,2,6] + G[8,2,7] + G[8,2,8] <= 1
Vertical_Sum_at_(8,4): G[9,4,0] + 2 G[9,4,1] + 3 G[9,4,2] + 4 G[9,4,3]
+ 5 G[9,4,4] + 6 G[9,4,5] + 7 G[9,4,6] + 8 G[9,4,7] + 9 G[9,4,8]
+ G[10,4,0] + 2 G[10,4,1] + 3 G[10,4,2] + 4 G[10,4,3] + 5 G[10,4,4]
+ 6 G[10,4,5] + 7 G[10,4,6] + 8 G[10,4,7] + 9 G[10,4,8] + G[11,4,0]
+ 2 G[11,4,1] + 3 G[11,4,2] + 4 G[11,4,3] + 5 G[11,4,4] + 6 G[11,4,5]
+ 7 G[11,4,6] + 8 G[11,4,7] + 9 G[11,4,8] + G[12,4,0] + 2 G[12,4,1]
+ 3 G[12,4,2] + 4 G[12,4,3] + 5 G[12,4,4] + 6 G[12,4,5] + 7 G[12,4,6]
+ 8 G[12,4,7] + 9 G[12,4,8] + G[13,4,0] + 2 G[13,4,1] + 3 G[13,4,2]
+ 4 G[13,4,3] + 5 G[13,4,4] + 6 G[13,4,5] + 7 G[13,4,6] + 8 G[13,4,7]
+ 9 G[13,4,8] + G[14,4,0] + 2 G[14,4,1] + 3 G[14,4,2] + 4 G[14,4,3]
+ 5 G[14,4,4] + 6 G[14,4,5] + 7 G[14,4,6] + 8 G[14,4,7] + 9 G[14,4,8]
= 24
ColUniqueness_at_(8,4): G[9,4,0] + G[10,4,0] + G[11,4,0] + G[12,4,0]
+ G[13,4,0] + G[14,4,0] <= 1
ColUniqueness_at_(8,4): G[9,4,1] + G[10,4,1] + G[11,4,1] + G[12,4,1]
+ G[13,4,1] + G[14,4,1] <= 1
ColUniqueness_at_(8,4): G[9,4,2] + G[10,4,2] + G[11,4,2] + G[12,4,2]
+ G[13,4,2] + G[14,4,2] <= 1
ColUniqueness_at_(8,4): G[9,4,3] + G[10,4,3] + G[11,4,3] + G[12,4,3]
+ G[13,4,3] + G[14,4,3] <= 1
ColUniqueness_at_(8,4): G[9,4,4] + G[10,4,4] + G[11,4,4] + G[12,4,4]
+ G[13,4,4] + G[14,4,4] <= 1
ColUniqueness_at_(8,4): G[9,4,5] + G[10,4,5] + G[11,4,5] + G[12,4,5]
+ G[13,4,5] + G[14,4,5] <= 1
ColUniqueness_at_(8,4): G[9,4,6] + G[10,4,6] + G[11,4,6] + G[12,4,6]
+ G[13,4,6] + G[14,4,6] <= 1
ColUniqueness_at_(8,4): G[9,4,7] + G[10,4,7] + G[11,4,7] + G[12,4,7]
+ G[13,4,7] + G[14,4,7] <= 1
ColUniqueness_at_(8,4): G[9,4,8] + G[10,4,8] + G[11,4,8] + G[12,4,8]
+ G[13,4,8] + G[14,4,8] <= 1
RightSum_at_(8,4): G[8,5,0] + 2 G[8,5,1] + 3 G[8,5,2] + 4 G[8,5,3]
+ 5 G[8,5,4] + 6 G[8,5,5] + 7 G[8,5,6] + 8 G[8,5,7] + 9 G[8,5,8]
+ G[8,6,0] + 2 G[8,6,1] + 3 G[8,6,2] + 4 G[8,6,3] + 5 G[8,6,4]
+ 6 G[8,6,5] + 7 G[8,6,6] + 8 G[8,6,7] + 9 G[8,6,8] + G[8,7,0]
+ 2 G[8,7,1] + 3 G[8,7,2] + 4 G[8,7,3] + 5 G[8,7,4] + 6 G[8,7,5]
+ 7 G[8,7,6] + 8 G[8,7,7] + 9 G[8,7,8] + G[8,8,0] + 2 G[8,8,1]
+ 3 G[8,8,2] + 4 G[8,8,3] + 5 G[8,8,4] + 6 G[8,8,5] + 7 G[8,8,6]
+ 8 G[8,8,7] + 9 G[8,8,8] = 20
RowUniqueness_at_(8,4): G[8,5,0] + G[8,6,0] + G[8,7,0] + G[8,8,0] <= 1
RowUniqueness_at_(8,4): G[8,5,1] + G[8,6,1] + G[8,7,1] + G[8,8,1] <= 1
RowUniqueness_at_(8,4): G[8,5,2] + G[8,6,2] + G[8,7,2] + G[8,8,2] <= 1
RowUniqueness_at_(8,4): G[8,5,3] + G[8,6,3] + G[8,7,3] + G[8,8,3] <= 1
RowUniqueness_at_(8,4): G[8,5,4] + G[8,6,4] + G[8,7,4] + G[8,8,4] <= 1
RowUniqueness_at_(8,4): G[8,5,5] + G[8,6,5] + G[8,7,5] + G[8,8,5] <= 1
RowUniqueness_at_(8,4): G[8,5,6] + G[8,6,6] + G[8,7,6] + G[8,8,6] <= 1
RowUniqueness_at_(8,4): G[8,5,7] + G[8,6,7] + G[8,7,7] + G[8,8,7] <= 1
RowUniqueness_at_(8,4): G[8,5,8] + G[8,6,8] + G[8,7,8] + G[8,8,8] <= 1
MissingVal_at_(8,5): G[8,5,0] + G[8,5,1] + G[8,5,2] + G[8,5,3] + G[8,5,4]
+ G[8,5,5] + G[8,5,6] + G[8,5,7] + G[8,5,8] <= 1
MissingVal_at_(8,6): G[8,6,0] + G[8,6,1] + G[8,6,2] + G[8,6,3] + G[8,6,4]
+ G[8,6,5] + G[8,6,6] + G[8,6,7] + G[8,6,8] <= 1
MissingVal_at_(8,7): G[8,7,0] + G[8,7,1] + G[8,7,2] + G[8,7,3] + G[8,7,4]
+ G[8,7,5] + G[8,7,6] + G[8,7,7] + G[8,7,8] <= 1
MissingVal_at_(8,8): G[8,8,0] + G[8,8,1] + G[8,8,2] + G[8,8,3] + G[8,8,4]
+ G[8,8,5] + G[8,8,6] + G[8,8,7] + G[8,8,8] <= 1
Vertical_Sum_at_(8,9): G[9,9,0] + 2 G[9,9,1] + 3 G[9,9,2] + 4 G[9,9,3]
+ 5 G[9,9,4] + 6 G[9,9,5] + 7 G[9,9,6] + 8 G[9,9,7] + 9 G[9,9,8]
+ G[10,9,0] + 2 G[10,9,1] + 3 G[10,9,2] + 4 G[10,9,3] + 5 G[10,9,4]
+ 6 G[10,9,5] + 7 G[10,9,6] + 8 G[10,9,7] + 9 G[10,9,8] = 10
ColUniqueness_at_(8,9): G[9,9,0] + G[10,9,0] <= 1
ColUniqueness_at_(8,9): G[9,9,1] + G[10,9,1] <= 1
ColUniqueness_at_(8,9): G[9,9,2] + G[10,9,2] <= 1
ColUniqueness_at_(8,9): G[9,9,3] + G[10,9,3] <= 1
ColUniqueness_at_(8,9): G[9,9,4] + G[10,9,4] <= 1
ColUniqueness_at_(8,9): G[9,9,5] + G[10,9,5] <= 1
ColUniqueness_at_(8,9): G[9,9,6] + G[10,9,6] <= 1
ColUniqueness_at_(8,9): G[9,9,7] + G[10,9,7] <= 1
ColUniqueness_at_(8,9): G[9,9,8] + G[10,9,8] <= 1
RightSum_at_(9,0): G[9,1,0] + 2 G[9,1,1] + 3 G[9,1,2] + 4 G[9,1,3]
+ 5 G[9,1,4] + 6 G[9,1,5] + 7 G[9,1,6] + 8 G[9,1,7] + 9 G[9,1,8]
+ G[9,2,0] + 2 G[9,2,1] + 3 G[9,2,2] + 4 G[9,2,3] + 5 G[9,2,4]
+ 6 G[9,2,5] + 7 G[9,2,6] + 8 G[9,2,7] + 9 G[9,2,8] = 14
RowUniqueness_at_(9,0): G[9,1,0] + G[9,2,0] <= 1
RowUniqueness_at_(9,0): G[9,1,1] + G[9,2,1] <= 1
RowUniqueness_at_(9,0): G[9,1,2] + G[9,2,2] <= 1
RowUniqueness_at_(9,0): G[9,1,3] + G[9,2,3] <= 1
RowUniqueness_at_(9,0): G[9,1,4] + G[9,2,4] <= 1
RowUniqueness_at_(9,0): G[9,1,5] + G[9,2,5] <= 1
RowUniqueness_at_(9,0): G[9,1,6] + G[9,2,6] <= 1
RowUniqueness_at_(9,0): G[9,1,7] + G[9,2,7] <= 1
RowUniqueness_at_(9,0): G[9,1,8] + G[9,2,8] <= 1
MissingVal_at_(9,1): G[9,1,0] + G[9,1,1] + G[9,1,2] + G[9,1,3] + G[9,1,4]
+ G[9,1,5] + G[9,1,6] + G[9,1,7] + G[9,1,8] <= 1
MissingVal_at_(9,2): G[9,2,0] + G[9,2,1] + G[9,2,2] + G[9,2,3] + G[9,2,4]
+ G[9,2,5] + G[9,2,6] + G[9,2,7] + G[9,2,8] <= 1
Vertical_Sum_at_(9,3): G[10,3,0] + 2 G[10,3,1] + 3 G[10,3,2] + 4 G[10,3,3]
+ 5 G[10,3,4] + 6 G[10,3,5] + 7 G[10,3,6] + 8 G[10,3,7] + 9 G[10,3,8]
+ G[11,3,0] + 2 G[11,3,1] + 3 G[11,3,2] + 4 G[11,3,3] + 5 G[11,3,4]
+ 6 G[11,3,5] + 7 G[11,3,6] + 8 G[11,3,7] + 9 G[11,3,8] + G[12,3,0]
+ 2 G[12,3,1] + 3 G[12,3,2] + 4 G[12,3,3] + 5 G[12,3,4] + 6 G[12,3,5]
+ 7 G[12,3,6] + 8 G[12,3,7] + 9 G[12,3,8] + G[13,3,0] + 2 G[13,3,1]
+ 3 G[13,3,2] + 4 G[13,3,3] + 5 G[13,3,4] + 6 G[13,3,5] + 7 G[13,3,6]
+ 8 G[13,3,7] + 9 G[13,3,8] = 27
ColUniqueness_at_(9,3): G[10,3,0] + G[11,3,0] + G[12,3,0] + G[13,3,0]
<= 1
ColUniqueness_at_(9,3): G[10,3,1] + G[11,3,1] + G[12,3,1] + G[13,3,1]
<= 1
ColUniqueness_at_(9,3): G[10,3,2] + G[11,3,2] + G[12,3,2] + G[13,3,2]
<= 1
ColUniqueness_at_(9,3): G[10,3,3] + G[11,3,3] + G[12,3,3] + G[13,3,3]
<= 1
ColUniqueness_at_(9,3): G[10,3,4] + G[11,3,4] + G[12,3,4] + G[13,3,4]
<= 1
ColUniqueness_at_(9,3): G[10,3,5] + G[11,3,5] + G[12,3,5] + G[13,3,5]
<= 1
ColUniqueness_at_(9,3): G[10,3,6] + G[11,3,6] + G[12,3,6] + G[13,3,6]
<= 1
ColUniqueness_at_(9,3): G[10,3,7] + G[11,3,7] + G[12,3,7] + G[13,3,7]
<= 1
ColUniqueness_at_(9,3): G[10,3,8] + G[11,3,8] + G[12,3,8] + G[13,3,8]
<= 1
RightSum_at_(9,3): G[9,4,0] + 2 G[9,4,1] + 3 G[9,4,2] + 4 G[9,4,3]
+ 5 G[9,4,4] + 6 G[9,4,5] + 7 G[9,4,6] + 8 G[9,4,7] + 9 G[9,4,8]
+ G[9,5,0] + 2 G[9,5,1] + 3 G[9,5,2] + 4 G[9,5,3] + 5 G[9,5,4]
+ 6 G[9,5,5] + 7 G[9,5,6] + 8 G[9,5,7] + 9 G[9,5,8] + G[9,6,0]
+ 2 G[9,6,1] + 3 G[9,6,2] + 4 G[9,6,3] + 5 G[9,6,4] + 6 G[9,6,5]
+ 7 G[9,6,6] + 8 G[9,6,7] + 9 G[9,6,8] = 11
RowUniqueness_at_(9,3): G[9,4,0] + G[9,5,0] + G[9,6,0] <= 1
RowUniqueness_at_(9,3): G[9,4,1] + G[9,5,1] + G[9,6,1] <= 1
RowUniqueness_at_(9,3): G[9,4,2] + G[9,5,2] + G[9,6,2] <= 1
RowUniqueness_at_(9,3): G[9,4,3] + G[9,5,3] + G[9,6,3] <= 1
RowUniqueness_at_(9,3): G[9,4,4] + G[9,5,4] + G[9,6,4] <= 1
RowUniqueness_at_(9,3): G[9,4,5] + G[9,5,5] + G[9,6,5] <= 1
RowUniqueness_at_(9,3): G[9,4,6] + G[9,5,6] + G[9,6,6] <= 1
RowUniqueness_at_(9,3): G[9,4,7] + G[9,5,7] + G[9,6,7] <= 1
RowUniqueness_at_(9,3): G[9,4,8] + G[9,5,8] + G[9,6,8] <= 1
MissingVal_at_(9,4): G[9,4,0] + G[9,4,1] + G[9,4,2] + G[9,4,3] + G[9,4,4]
+ G[9,4,5] + G[9,4,6] + G[9,4,7] + G[9,4,8] <= 1
MissingVal_at_(9,5): G[9,5,0] + G[9,5,1] + G[9,5,2] + G[9,5,3] + G[9,5,4]
+ G[9,5,5] + G[9,5,6] + G[9,5,7] + G[9,5,8] <= 1
MissingVal_at_(9,6): G[9,6,0] + G[9,6,1] + G[9,6,2] + G[9,6,3] + G[9,6,4]
+ G[9,6,5] + G[9,6,6] + G[9,6,7] + G[9,6,8] <= 1
RightSum_at_(9,7): G[9,8,0] + 2 G[9,8,1] + 3 G[9,8,2] + 4 G[9,8,3]
+ 5 G[9,8,4] + 6 G[9,8,5] + 7 G[9,8,6] + 8 G[9,8,7] + 9 G[9,8,8]
+ G[9,9,0] + 2 G[9,9,1] + 3 G[9,9,2] + 4 G[9,9,3] + 5 G[9,9,4]
+ 6 G[9,9,5] + 7 G[9,9,6] + 8 G[9,9,7] + 9 G[9,9,8] = 14
RowUniqueness_at_(9,7): G[9,8,0] + G[9,9,0] <= 1
RowUniqueness_at_(9,7): G[9,8,1] + G[9,9,1] <= 1
RowUniqueness_at_(9,7): G[9,8,2] + G[9,9,2] <= 1
RowUniqueness_at_(9,7): G[9,8,3] + G[9,9,3] <= 1
RowUniqueness_at_(9,7): G[9,8,4] + G[9,9,4] <= 1
RowUniqueness_at_(9,7): G[9,8,5] + G[9,9,5] <= 1
RowUniqueness_at_(9,7): G[9,8,6] + G[9,9,6] <= 1
RowUniqueness_at_(9,7): G[9,8,7] + G[9,9,7] <= 1
RowUniqueness_at_(9,7): G[9,8,8] + G[9,9,8] <= 1
MissingVal_at_(9,8): G[9,8,0] + G[9,8,1] + G[9,8,2] + G[9,8,3] + G[9,8,4]
+ G[9,8,5] + G[9,8,6] + G[9,8,7] + G[9,8,8] <= 1
MissingVal_at_(9,9): G[9,9,0] + G[9,9,1] + G[9,9,2] + G[9,9,3] + G[9,9,4]
+ G[9,9,5] + G[9,9,6] + G[9,9,7] + G[9,9,8] <= 1
RightSum_at_(10,1): G[10,2,0] + 2 G[10,2,1] + 3 G[10,2,2] + 4 G[10,2,3]
+ 5 G[10,2,4] + 6 G[10,2,5] + 7 G[10,2,6] + 8 G[10,2,7] + 9 G[10,2,8]
+ G[10,3,0] + 2 G[10,3,1] + 3 G[10,3,2] + 4 G[10,3,3] + 5 G[10,3,4]
+ 6 G[10,3,5] + 7 G[10,3,6] + 8 G[10,3,7] + 9 G[10,3,8] + G[10,4,0]
+ 2 G[10,4,1] + 3 G[10,4,2] + 4 G[10,4,3] + 5 G[10,4,4] + 6 G[10,4,5]
+ 7 G[10,4,6] + 8 G[10,4,7] + 9 G[10,4,8] + G[10,5,0] + 2 G[10,5,1]
+ 3 G[10,5,2] + 4 G[10,5,3] + 5 G[10,5,4] + 6 G[10,5,5] + 7 G[10,5,6]
+ 8 G[10,5,7] + 9 G[10,5,8] = 16
RowUniqueness_at_(10,1): G[10,2,0] + G[10,3,0] + G[10,4,0] + G[10,5,0]
<= 1
RowUniqueness_at_(10,1): G[10,2,1] + G[10,3,1] + G[10,4,1] + G[10,5,1]
<= 1
RowUniqueness_at_(10,1): G[10,2,2] + G[10,3,2] + G[10,4,2] + G[10,5,2]
<= 1
RowUniqueness_at_(10,1): G[10,2,3] + G[10,3,3] + G[10,4,3] + G[10,5,3]
<= 1
RowUniqueness_at_(10,1): G[10,2,4] + G[10,3,4] + G[10,4,4] + G[10,5,4]
<= 1
RowUniqueness_at_(10,1): G[10,2,5] + G[10,3,5] + G[10,4,5] + G[10,5,5]
<= 1
RowUniqueness_at_(10,1): G[10,2,6] + G[10,3,6] + G[10,4,6] + G[10,5,6]
<= 1
RowUniqueness_at_(10,1): G[10,2,7] + G[10,3,7] + G[10,4,7] + G[10,5,7]
<= 1
RowUniqueness_at_(10,1): G[10,2,8] + G[10,3,8] + G[10,4,8] + G[10,5,8]
<= 1
MissingVal_at_(10,2): G[10,2,0] + G[10,2,1] + G[10,2,2] + G[10,2,3]
+ G[10,2,4] + G[10,2,5] + G[10,2,6] + G[10,2,7] + G[10,2,8] <= 1
MissingVal_at_(10,3): G[10,3,0] + G[10,3,1] + G[10,3,2] + G[10,3,3]
+ G[10,3,4] + G[10,3,5] + G[10,3,6] + G[10,3,7] + G[10,3,8] <= 1
MissingVal_at_(10,4): G[10,4,0] + G[10,4,1] + G[10,4,2] + G[10,4,3]
+ G[10,4,4] + G[10,4,5] + G[10,4,6] + G[10,4,7] + G[10,4,8] <= 1
MissingVal_at_(10,5): G[10,5,0] + G[10,5,1] + G[10,5,2] + G[10,5,3]
+ G[10,5,4] + G[10,5,5] + G[10,5,6] + G[10,5,7] + G[10,5,8] <= 1
Vertical_Sum_at_(10,7): G[11,7,0] + 2 G[11,7,1] + 3 G[11,7,2]
+ 4 G[11,7,3] + 5 G[11,7,4] + 6 G[11,7,5] + 7 G[11,7,6] + 8 G[11,7,7]
+ 9 G[11,7,8] + G[12,7,0] + 2 G[12,7,1] + 3 G[12,7,2] + 4 G[12,7,3]
+ 5 G[12,7,4] + 6 G[12,7,5] + 7 G[12,7,6] + 8 G[12,7,7] + 9 G[12,7,8]
= 8
ColUniqueness_at_(10,7): G[11,7,0] + G[12,7,0] <= 1
ColUniqueness_at_(10,7): G[11,7,1] + G[12,7,1] <= 1
ColUniqueness_at_(10,7): G[11,7,2] + G[12,7,2] <= 1
ColUniqueness_at_(10,7): G[11,7,3] + G[12,7,3] <= 1
ColUniqueness_at_(10,7): G[11,7,4] + G[12,7,4] <= 1
ColUniqueness_at_(10,7): G[11,7,5] + G[12,7,5] <= 1
ColUniqueness_at_(10,7): G[11,7,6] + G[12,7,6] <= 1
ColUniqueness_at_(10,7): G[11,7,7] + G[12,7,7] <= 1
ColUniqueness_at_(10,7): G[11,7,8] + G[12,7,8] <= 1
RightSum_at_(10,7): G[10,8,0] + 2 G[10,8,1] + 3 G[10,8,2] + 4 G[10,8,3]
+ 5 G[10,8,4] + 6 G[10,8,5] + 7 G[10,8,6] + 8 G[10,8,7] + 9 G[10,8,8]
+ G[10,9,0] + 2 G[10,9,1] + 3 G[10,9,2] + 4 G[10,9,3] + 5 G[10,9,4]
+ 6 G[10,9,5] + 7 G[10,9,6] + 8 G[10,9,7] + 9 G[10,9,8] = 3
RowUniqueness_at_(10,7): G[10,8,0] + G[10,9,0] <= 1
RowUniqueness_at_(10,7): G[10,8,1] + G[10,9,1] <= 1
RowUniqueness_at_(10,7): G[10,8,2] + G[10,9,2] <= 1
RowUniqueness_at_(10,7): G[10,8,3] + G[10,9,3] <= 1
RowUniqueness_at_(10,7): G[10,8,4] + G[10,9,4] <= 1
RowUniqueness_at_(10,7): G[10,8,5] + G[10,9,5] <= 1
RowUniqueness_at_(10,7): G[10,8,6] + G[10,9,6] <= 1
RowUniqueness_at_(10,7): G[10,8,7] + G[10,9,7] <= 1
RowUniqueness_at_(10,7): G[10,8,8] + G[10,9,8] <= 1
MissingVal_at_(10,8): G[10,8,0] + G[10,8,1] + G[10,8,2] + G[10,8,3]
+ G[10,8,4] + G[10,8,5] + G[10,8,6] + G[10,8,7] + G[10,8,8] <= 1
MissingVal_at_(10,9): G[10,9,0] + G[10,9,1] + G[10,9,2] + G[10,9,3]
+ G[10,9,4] + G[10,9,5] + G[10,9,6] + G[10,9,7] + G[10,9,8] <= 1
Vertical_Sum_at_(11,1): G[12,1,0] + 2 G[12,1,1] + 3 G[12,1,2]
+ 4 G[12,1,3] + 5 G[12,1,4] + 6 G[12,1,5] + 7 G[12,1,6] + 8 G[12,1,7]
+ 9 G[12,1,8] + G[13,1,0] + 2 G[13,1,1] + 3 G[13,1,2] + 4 G[13,1,3]
+ 5 G[13,1,4] + 6 G[13,1,5] + 7 G[13,1,6] + 8 G[13,1,7] + 9 G[13,1,8]
+ G[14,1,0] + 2 G[14,1,1] + 3 G[14,1,2] + 4 G[14,1,3] + 5 G[14,1,4]
+ 6 G[14,1,5] + 7 G[14,1,6] + 8 G[14,1,7] + 9 G[14,1,8] = 19
ColUniqueness_at_(11,1): G[12,1,0] + G[13,1,0] + G[14,1,0] <= 1
ColUniqueness_at_(11,1): G[12,1,1] + G[13,1,1] + G[14,1,1] <= 1
ColUniqueness_at_(11,1): G[12,1,2] + G[13,1,2] + G[14,1,2] <= 1
ColUniqueness_at_(11,1): G[12,1,3] + G[13,1,3] + G[14,1,3] <= 1
ColUniqueness_at_(11,1): G[12,1,4] + G[13,1,4] + G[14,1,4] <= 1
ColUniqueness_at_(11,1): G[12,1,5] + G[13,1,5] + G[14,1,5] <= 1
ColUniqueness_at_(11,1): G[12,1,6] + G[13,1,6] + G[14,1,6] <= 1
ColUniqueness_at_(11,1): G[12,1,7] + G[13,1,7] + G[14,1,7] <= 1
ColUniqueness_at_(11,1): G[12,1,8] + G[13,1,8] + G[14,1,8] <= 1
Vertical_Sum_at_(11,2): G[12,2,0] + 2 G[12,2,1] + 3 G[12,2,2]
+ 4 G[12,2,3] + 5 G[12,2,4] + 6 G[12,2,5] + 7 G[12,2,6] + 8 G[12,2,7]
+ 9 G[12,2,8] + G[13,2,0] + 2 G[13,2,1] + 3 G[13,2,2] + 4 G[13,2,3]
+ 5 G[13,2,4] + 6 G[13,2,5] + 7 G[13,2,6] + 8 G[13,2,7] + 9 G[13,2,8]
+ G[14,2,0] + 2 G[14,2,1] + 3 G[14,2,2] + 4 G[14,2,3] + 5 G[14,2,4]
+ 6 G[14,2,5] + 7 G[14,2,6] + 8 G[14,2,7] + 9 G[14,2,8] + G[15,2,0]
+ 2 G[15,2,1] + 3 G[15,2,2] + 4 G[15,2,3] + 5 G[15,2,4] + 6 G[15,2,5]
+ 7 G[15,2,6] + 8 G[15,2,7] + 9 G[15,2,8] + G[16,2,0] + 2 G[16,2,1]
+ 3 G[16,2,2] + 4 G[16,2,3] + 5 G[16,2,4] + 6 G[16,2,5] + 7 G[16,2,6]
+ 8 G[16,2,7] + 9 G[16,2,8] + G[17,2,0] + 2 G[17,2,1] + 3 G[17,2,2]
+ 4 G[17,2,3] + 5 G[17,2,4] + 6 G[17,2,5] + 7 G[17,2,6] + 8 G[17,2,7]
+ 9 G[17,2,8] = 21
ColUniqueness_at_(11,2): G[12,2,0] + G[13,2,0] + G[14,2,0] + G[15,2,0]
+ G[16,2,0] + G[17,2,0] <= 1
ColUniqueness_at_(11,2): G[12,2,1] + G[13,2,1] + G[14,2,1] + G[15,2,1]
+ G[16,2,1] + G[17,2,1] <= 1
ColUniqueness_at_(11,2): G[12,2,2] + G[13,2,2] + G[14,2,2] + G[15,2,2]
+ G[16,2,2] + G[17,2,2] <= 1
ColUniqueness_at_(11,2): G[12,2,3] + G[13,2,3] + G[14,2,3] + G[15,2,3]
+ G[16,2,3] + G[17,2,3] <= 1
ColUniqueness_at_(11,2): G[12,2,4] + G[13,2,4] + G[14,2,4] + G[15,2,4]
+ G[16,2,4] + G[17,2,4] <= 1
ColUniqueness_at_(11,2): G[12,2,5] + G[13,2,5] + G[14,2,5] + G[15,2,5]
+ G[16,2,5] + G[17,2,5] <= 1
ColUniqueness_at_(11,2): G[12,2,6] + G[13,2,6] + G[14,2,6] + G[15,2,6]
+ G[16,2,6] + G[17,2,6] <= 1
ColUniqueness_at_(11,2): G[12,2,7] + G[13,2,7] + G[14,2,7] + G[15,2,7]
+ G[16,2,7] + G[17,2,7] <= 1
ColUniqueness_at_(11,2): G[12,2,8] + G[13,2,8] + G[14,2,8] + G[15,2,8]
+ G[16,2,8] + G[17,2,8] <= 1
RightSum_at_(11,2): G[11,3,0] + 2 G[11,3,1] + 3 G[11,3,2] + 4 G[11,3,3]
+ 5 G[11,3,4] + 6 G[11,3,5] + 7 G[11,3,6] + 8 G[11,3,7] + 9 G[11,3,8]
+ G[11,4,0] + 2 G[11,4,1] + 3 G[11,4,2] + 4 G[11,4,3] + 5 G[11,4,4]
+ 6 G[11,4,5] + 7 G[11,4,6] + 8 G[11,4,7] + 9 G[11,4,8] + G[11,5,0]
+ 2 G[11,5,1] + 3 G[11,5,2] + 4 G[11,5,3] + 5 G[11,5,4] + 6 G[11,5,5]
+ 7 G[11,5,6] + 8 G[11,5,7] + 9 G[11,5,8] = 10
RowUniqueness_at_(11,2): G[11,3,0] + G[11,4,0] + G[11,5,0] <= 1
RowUniqueness_at_(11,2): G[11,3,1] + G[11,4,1] + G[11,5,1] <= 1
RowUniqueness_at_(11,2): G[11,3,2] + G[11,4,2] + G[11,5,2] <= 1
RowUniqueness_at_(11,2): G[11,3,3] + G[11,4,3] + G[11,5,3] <= 1
RowUniqueness_at_(11,2): G[11,3,4] + G[11,4,4] + G[11,5,4] <= 1
RowUniqueness_at_(11,2): G[11,3,5] + G[11,4,5] + G[11,5,5] <= 1
RowUniqueness_at_(11,2): G[11,3,6] + G[11,4,6] + G[11,5,6] <= 1
RowUniqueness_at_(11,2): G[11,3,7] + G[11,4,7] + G[11,5,7] <= 1
RowUniqueness_at_(11,2): G[11,3,8] + G[11,4,8] + G[11,5,8] <= 1
MissingVal_at_(11,3): G[11,3,0] + G[11,3,1] + G[11,3,2] + G[11,3,3]
+ G[11,3,4] + G[11,3,5] + G[11,3,6] + G[11,3,7] + G[11,3,8] <= 1
MissingVal_at_(11,4): G[11,4,0] + G[11,4,1] + G[11,4,2] + G[11,4,3]
+ G[11,4,4] + G[11,4,5] + G[11,4,6] + G[11,4,7] + G[11,4,8] <= 1
MissingVal_at_(11,5): G[11,5,0] + G[11,5,1] + G[11,5,2] + G[11,5,3]
+ G[11,5,4] + G[11,5,5] + G[11,5,6] + G[11,5,7] + G[11,5,8] <= 1
Vertical_Sum_at_(11,6): G[12,6,0] + 2 G[12,6,1] + 3 G[12,6,2]
+ 4 G[12,6,3] + 5 G[12,6,4] + 6 G[12,6,5] + 7 G[12,6,6] + 8 G[12,6,7]
+ 9 G[12,6,8] + G[13,6,0] + 2 G[13,6,1] + 3 G[13,6,2] + 4 G[13,6,3]
+ 5 G[13,6,4] + 6 G[13,6,5] + 7 G[13,6,6] + 8 G[13,6,7] + 9 G[13,6,8]
= 6
ColUniqueness_at_(11,6): G[12,6,0] + G[13,6,0] <= 1
ColUniqueness_at_(11,6): G[12,6,1] + G[13,6,1] <= 1
ColUniqueness_at_(11,6): G[12,6,2] + G[13,6,2] <= 1
ColUniqueness_at_(11,6): G[12,6,3] + G[13,6,3] <= 1
ColUniqueness_at_(11,6): G[12,6,4] + G[13,6,4] <= 1
ColUniqueness_at_(11,6): G[12,6,5] + G[13,6,5] <= 1
ColUniqueness_at_(11,6): G[12,6,6] + G[13,6,6] <= 1
ColUniqueness_at_(11,6): G[12,6,7] + G[13,6,7] <= 1
ColUniqueness_at_(11,6): G[12,6,8] + G[13,6,8] <= 1
RightSum_at_(11,6): G[11,7,0] + 2 G[11,7,1] + 3 G[11,7,2] + 4 G[11,7,3]
+ 5 G[11,7,4] + 6 G[11,7,5] + 7 G[11,7,6] + 8 G[11,7,7] + 9 G[11,7,8]
+ G[11,8,0] + 2 G[11,8,1] + 3 G[11,8,2] + 4 G[11,8,3] + 5 G[11,8,4]
+ 6 G[11,8,5] + 7 G[11,8,6] + 8 G[11,8,7] + 9 G[11,8,8] = 8
RowUniqueness_at_(11,6): G[11,7,0] + G[11,8,0] <= 1
RowUniqueness_at_(11,6): G[11,7,1] + G[11,8,1] <= 1
RowUniqueness_at_(11,6): G[11,7,2] + G[11,8,2] <= 1
RowUniqueness_at_(11,6): G[11,7,3] + G[11,8,3] <= 1
RowUniqueness_at_(11,6): G[11,7,4] + G[11,8,4] <= 1
RowUniqueness_at_(11,6): G[11,7,5] + G[11,8,5] <= 1
RowUniqueness_at_(11,6): G[11,7,6] + G[11,8,6] <= 1
RowUniqueness_at_(11,6): G[11,7,7] + G[11,8,7] <= 1
RowUniqueness_at_(11,6): G[11,7,8] + G[11,8,8] <= 1
MissingVal_at_(11,7): G[11,7,0] + G[11,7,1] + G[11,7,2] + G[11,7,3]