1022, 2040
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0,2,3
0,3,4
5,6,7
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5,0,4
5,4,8
9,10,11
9,11,7
9,7,6
7,11,12
7,12,1
7,1,0
3,2,13
3,13,14
3,14,15
3,15,16
8,4,3
8,3,16
8,16,17
8,17,18
8,18,19
19,18,20
19,20,21
19,21,22
23,24,25
23,25,26
23,26,27
23,27,28
29,5,8
29,8,19
29,19,22
29,22,23
29,23,28
29,28,30
29,30,31
29,31,32
29,32,33
32,34,35
32,35,36
32,36,37
32,37,33
33,37,38
33,38,39
33,39,29
29,39,40
29,40,41
29,41,42
29,42,9
29,9,6
29,6,5
41,43,44
41,44,45
41,45,42
42,45,46
42,46,47
42,47,10
42,10,9
47,48,49
47,49,12
47,12,11
47,11,10
12,49,50
12,50,13
12,13,2
12,2,1
14,51,52
14,52,53
14,53,54
14,54,15
16,15,54
16,54,55
16,55,56
16,56,17
17,56,57
17,57,20
17,20,18
22,21,58
22,58,59
22,59,24
22,24,23
59,60,61
59,61,25
59,25,24
26,62,63
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26,65,27
28,27,65
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31,70,71
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31,34,32
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72,35,34
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84,89,44
84,44,43
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44,46,45
46,91,92
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93,50,49
93,49,48
13,50,95
13,95,96
13,96,51
13,51,14
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52,98,99
52,99,53
54,53,99
54,99,100
54,100,55
55,100,101
55,101,102
55,102,57
55,57,56
20,57,102
20,102,103
20,103,104
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20,58,21
58,104,105
58,105,106
58,106,60
58,60,59
25,61,107
25,107,108
25,108,62
25,62,26
108,109,110
108,110,63
108,63,62
63,110,111
63,111,112
63,112,113
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65,64,113
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78,130,131
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79,133,134
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79,137,81
79,81,80
136,138,139
136,139,140
136,140,141
136,141,137
81,137,141
81,141,142
81,142,85
81,85,82
141,140,143
141,143,144
141,144,145
141,145,142
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142,146,147
142,147,86
142,86,85
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88,90,89
90,151,152
90,152,153
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90,92,91
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96,97,52
96,52,51
159,161,162
159,162,163
159,163,160
160,163,164
160,164,165
160,165,98
160,98,97
99,98,165
99,165,166
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102,167,168
102,168,103
103,168,169
103,169,105
103,105,104
106,170,171
106,171,107
106,107,61
106,61,60
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107,173,109
107,109,108
173,174,175
173,175,111
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111,177,178
111,178,112
178,177,179
178,179,180
178,180,181
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135,210,211
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139,143,140
215,218,219
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215,217,216
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143,220,221
143,221,222
143,222,144
144,222,223
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144,146,145
146,224,225
146,225,226
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146,148,147
148,226,227
148,227,228
148,228,150
148,150,149
150,228,229
150,229,152
150,152,151
152,229,230
152,230,231
152,231,232
152,232,154
152,154,153
154,232,233
154,233,234
154,234,156
154,156,155
156,234,235
156,235,236
156,236,158
156,158,157
158,236,237
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158,161,159
238,240,241
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239,242,243
239,243,162
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167,169,168
105,169,249
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204,290,291
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204,292,206
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209,296,297
209,297,298
209,298,299
209,299,211
209,211,210
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211,300,301
211,301,213
211,213,212
301,302,303
301,303,304
301,304,214
301,214,213
214,304,305
214,305,218
214,218,215
303,306,307
303,307,305
303,305,304
305,307,308
305,308,309
305,309,219
305,219,218
220,219,309
220,309,310
220,310,221
221,310,311
221,311,312
221,312,223
221,223,222
223,312,313
223,313,225
223,225,224
225,313,314
225,314,315
225,315,227
225,227,226
227,315,316
227,316,230
227,230,229
227,229,228
230,316,317
230,317,318
230,318,231
231,318,319
231,319,233
231,233,232
233,319,320
233,320,321
233,321,235
233,235,234
235,321,322
235,322,237
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237,323,240
237,240,238
324,325,326
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323,328,330
323,330,241
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241,244,243
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247,335,336
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255,340,341
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255,257,256
258,341,342
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259,344,345
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259,262,260
345,344,343
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345,346,347
345,347,348
348,347,349
348,349,350
348,350,351
348,351,352
263,262,345
263,345,348
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263,353,265
352,351,354
352,354,355
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352,356,353
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280,371,372
280,372,373
280,373,282
280,282,281
373,374,375
373,375,376
373,376,284
373,284,283
373,283,282
284,376,377
284,377,378
284,378,285
286,285,378
286,378,379
286,379,380
286,380,287
287,380,381
287,381,382
287,382,289
287,289,288
289,382,383
289,383,384
289,384,291
289,291,290
291,384,385
291,385,386
291,386,293
291,293,292
293,386,387
293,387,388
293,388,295
293,295,294
295,388,389
295,389,390
295,390,297
295,297,296
297,390,391
297,391,298
298,391,392
298,392,393
298,393,394
298,394,300
298,300,299
300,394,395
300,395,396
300,396,302
300,302,301
395,397,398
395,398,399
395,399,400
395,400,396
396,400,401
396,401,402
396,402,306
396,306,303
396,303,302
399,403,404
399,404,401
399,401,400
401,404,405
401,405,406
401,406,407
401,407,408
401,408,409
401,409,402
402,409,410
402,410,308
402,308,307
402,307,306
410,409,408
410,408,411
410,411,412
410,412,413
410,413,414
309,308,410
309,410,414
309,414,415
309,415,311
309,311,310
414,413,416
414,416,417
414,417,418
414,418,415
311,415,418
311,418,419
311,419,420
311,420,314
311,314,313
311,313,312
419,421,422
419,422,423
419,423,424
419,424,420
314,420,424
314,424,425
314,425,317
314,317,316
314,316,315
424,423,426
424,426,427
424,427,428
424,428,429
424,429,425
317,425,429
317,429,430
317,430,320
317,320,319
317,319,318
429,428,431
429,431,432
429,432,433
429,433,434
429,434,430
320,430,434
320,434,324
320,324,329
320,329,323
320,323,322
320,322,321
434,433,435
434,435,325
434,325,324
436,437,438
436,438,439
436,439,440
326,325,435
326,435,441
326,441,436
326,436,440
326,440,442
442,440,439
442,439,443
442,443,444
442,444,445
442,445,446
332,327,326
332,326,442
332,442,446
332,446,447
447,446,445
447,445,448
447,448,449
447,449,450
447,450,451
334,333,332
334,332,447
334,447,451
334,451,452
452,451,450
452,450,453
452,453,454
452,454,455
452,455,456
336,335,334
336,334,452
336,452,456
336,456,457
336,457,458
336,458,459
336,459,339
336,339,338
336,338,337
458,460,461
458,461,462
458,462,463
458,463,459
459,463,464
459,464,342
459,342,341
459,341,340
459,340,339
462,465,466
462,466,467
462,467,464
462,464,463
464,467,468
464,468,346
464,346,343
464,343,342
466,469,470
466,470,471
466,471,468
466,468,467
346,468,471
346,471,472
346,472,473
346,473,349
346,349,347
471,470,474
471,474,475
471,475,472
472,475,476
472,476,477
472,477,478
472,478,473
349,473,478
349,478,479
349,479,350
478,477,480
478,480,481
478,481,482
478,482,479
350,479,482
350,482,354
350,354,351
354,482,481
354,481,483
354,483,355
356,355,483
356,483,484
356,484,359
356,359,358
356,358,357
359,484,485
359,485,486
359,486,360
360,486,487
360,487,488
360,488,363
360,363,362
360,362,361
363,488,489
363,489,490
363,490,364
364,490,491
364,491,492
364,492,493
364,493,366
364,366,365
366,493,494
366,494,495
366,495,368
366,368,367
368,495,496
368,496,497
368,497,370
368,370,369
370,497,498
370,498,499
370,499,372
370,372,371
372,499,500
372,500,501
372,501,374
372,374,373
501,502,503
501,503,375
501,375,374
375,503,504
375,504,377
375,377,376
378,377,504
378,504,505
378,505,506
378,506,379
379,506,507
379,507,381
379,381,380
381,507,508
381,508,509
381,509,383
381,383,382
383,509,510
383,510,511
383,511,385
383,385,384
385,511,512
385,512,387
385,387,386
387,512,513
387,513,514
387,514,515
387,515,389
387,389,388
389,515,516
389,516,392
389,392,391
389,391,390
392,516,517
392,517,518
392,518,519
392,519,393
393,519,520
393,520,397
393,397,395
393,395,394
520,521,522
520,522,523
520,523,398
520,398,397
398,523,524
398,524,403
398,403,399
522,525,526
522,526,527
522,527,524
522,524,523
524,527,528
524,528,529
524,529,405
524,405,404
524,404,403
526,530,531
526,531,532
526,532,528
526,528,527
528,532,533
528,533,534
528,534,535
528,535,529
405,529,535
405,535,406
406,535,534
406,534,536
406,536,537
406,537,407
407,537,538
407,538,539
407,539,411
407,411,408
411,539,540
411,540,541
411,541,412
412,541,542
412,542,543
412,543,416
412,416,413
416,543,544
416,544,545
416,545,546
416,546,417
418,417,546
418,546,547
418,547,421
418,421,419
547,548,549
547,549,422
547,422,421
422,549,550
422,550,551
422,551,426
422,426,423
426,551,552
426,552,553
426,553,427
427,553,554
427,554,431
427,431,428
431,554,555
431,555,556
431,556,432
432,556,557
432,557,441
432,441,435
432,435,433
441,557,558
441,558,437
441,437,436
439,438,559
439,559,560
439,560,561
439,561,443
443,561,562
443,562,563
443,563,444
445,444,563
445,563,564
445,564,448
448,564,565
448,565,566
448,566,567
448,567,449
450,449,567
450,567,568
450,568,569
450,569,453
453,569,570
453,570,571
453,571,454
454,571,572
454,572,573
454,573,574
454,574,455
456,455,574
456,574,575
456,575,576
456,576,457
457,576,577
457,577,578
457,578,460
457,460,458
578,579,580
578,580,581
578,581,461
578,461,460
461,581,582
461,582,583
461,583,465
461,465,462
582,584,585
582,585,586
582,586,583
583,586,587
583,587,469
583,469,466
583,466,465
585,588,589
585,589,590
585,590,587
585,587,586
587,590,591
587,591,474
587,474,470
587,470,469
474,591,592
474,592,476
474,476,475
592,591,590
592,590,589
592,589,593
592,593,594
592,594,595
480,477,476
480,476,592
480,592,595
480,595,596
596,595,594
596,594,597
596,597,598
596,598,599
483,481,480
483,480,596
483,596,599
483,599,600
483,600,485
483,485,484
599,598,601
599,601,602
599,602,603
599,603,600
485,600,603
485,603,487
485,487,486
487,603,602
487,602,604
487,604,489
487,489,488
489,604,605
489,605,491
489,491,490
491,605,606
491,606,607
491,607,492
492,607,608
492,608,494
492,494,493
494,608,609
494,609,610
494,610,496
494,496,495
496,610,611
496,611,498
496,498,497
498,611,612
498,612,613
498,613,614
498,614,500
498,500,499
500,614,615
500,615,616
500,616,502
500,502,501
504,503,502
504,502,616
504,616,617
504,617,505
615,618,619
615,619,620
615,620,617
615,617,616
505,617,620
505,620,508
505,508,507
505,507,506
508,620,619
508,619,621
508,621,622
508,622,623
508,623,510
508,510,509
510,623,624
510,624,625
510,625,513
510,513,512
510,512,511
513,625,626
513,626,627
513,627,628
513,628,514
514,628,517
514,517,516
514,516,515
517,628,627
517,627,629
517,629,630
517,630,631
517,631,518
518,631,632
518,632,633
518,633,521
518,521,520
518,520,519
632,634,635
632,635,636
632,636,637
632,637,638
632,638,633
633,638,639
633,639,525
633,525,522
633,522,521
637,640,641
637,641,642
637,642,639
637,639,638
639,642,643
639,643,530
639,530,526
639,526,525
641,644,645
641,645,643
641,643,642
643,645,646
643,646,531
643,531,530
531,646,647
531,647,648
531,648,533
531,533,532
648,647,649
648,649,650
648,650,651
534,533,648
534,648,651
534,651,652
534,652,536
536,652,653
536,653,654
536,654,538
536,538,537
538,654,655
538,655,656
538,656,540
538,540,539
540,656,657
540,657,658
540,658,542
540,542,541
542,658,659
542,659,660
542,660,544
542,544,543
544,660,661
544,661,662
544,662,663
544,663,545
546,545,663
546,663,664
546,664,548
546,548,547
664,665,666
664,666,550
664,550,549
664,549,548
550,666,667
550,667,552
550,552,551
552,667,668
552,668,669
552,669,555
552,555,554
552,554,553
555,669,670
555,670,671
555,671,558
555,558,557
555,557,556
559,671,670
559,670,672
559,672,560
558,671,559
558,559,438
558,438,437
563,562,673
563,673,674
563,674,565
563,565,564
565,674,675
565,675,676
565,676,566
567,566,676
567,676,677
567,677,568
568,677,678
568,678,679
568,679,570
568,570,569
570,679,680
570,680,681
570,681,682
570,682,572
570,572,571
572,682,683
572,683,684
572,684,573
574,573,684
574,684,685
574,685,575
575,685,686
575,686,687
575,687,577
575,577,576
577,687,688
577,688,689
577,689,690
577,690,579
577,579,578
690,691,692
690,692,693
690,693,580
690,580,579
580,693,694
580,694,584
580,584,582
580,582,581
692,695,696
692,696,697
692,697,694
692,694,693
694,697,698
694,698,588
694,588,585
694,585,584
698,699,593
698,593,589
698,589,588
696,700,701
696,701,702
696,702,699
696,699,698
696,698,697
594,593,699
594,699,702
594,702,703
594,703,597
702,701,704
702,704,705
702,705,706
702,706,703
597,703,706
597,706,707
597,707,601
597,601,598
707,706,705
707,705,708
707,708,709
602,601,707
602,707,709
602,709,710
602,710,606
602,606,605
602,605,604
709,708,711
709,711,712
709,712,713
709,713,714
709,714,710
606,710,714
606,714,715
606,715,609
606,609,608
606,608,607
714,713,716
714,716,717
714,717,718
714,718,715
609,715,718
609,718,612
609,612,611
609,611,610
612,718,717
612,717,719
612,719,720
612,720,721
612,721,613
613,721,722
613,722,723
613,723,618
613,618,615
613,615,614
619,618,723
619,723,621
621,723,722
621,722,724
621,724,725
621,725,622
622,725,726
622,726,624
622,624,623
624,726,727
624,727,728
624,728,729
624,729,626
624,626,625
626,729,730
626,730,629
626,629,627
629,730,731
629,731,732
629,732,733
629,733,630
630,733,734
630,734,735
630,735,634
630,634,632
630,632,631
735,736,737
735,737,738
735,738,635
735,635,634
635,738,739
635,739,740
635,740,636
739,741,742
739,742,743
739,743,740
636,740,743
636,743,744
636,744,745
636,745,640
636,640,637
744,746,747
744,747,745
745,747,748
745,748,644
745,644,641
745,641,640
748,749,649
748,649,647
748,647,646
748,646,645
748,645,644
649,749,750
649,750,751
649,751,650
651,650,751
651,751,752
651,752,753
651,753,653
651,653,652
653,753,754
653,754,655
653,655,654
655,754,755
655,755,756
655,756,657
655,657,656
657,756,757
657,757,758
657,758,659
657,659,658
659,758,759
659,759,760
659,760,661
659,661,660
661,760,761
661,761,762
661,762,763
661,763,662
663,662,763
663,763,764
663,764,665
663,665,664
764,765,766
764,766,668
764,668,667
764,667,666
764,666,665
668,766,767
668,767,768
668,768,769
668,769,672
668,672,670
668,670,669
769,768,770
769,770,771
560,672,769
560,769,771
560,771,673
560,673,562
560,562,561
676,675,772
676,772,773
676,773,678
676,678,677
772,774,775
772,775,776
772,776,777
772,777,773
678,773,777
678,777,778
678,778,680
678,680,679
680,778,779
680,779,780
680,780,681
681,780,781
681,781,782
681,782,683
681,683,682
684,683,782
684,782,783
684,783,686
684,686,685
686,783,784
686,784,785
686,785,688
686,688,687
688,785,786
688,786,787
688,787,689
689,787,788
689,788,789
689,789,790
689,790,691
689,691,690
789,791,792
789,792,793
789,793,790
790,793,794
790,794,695
790,695,692
790,692,691
794,795,700
794,700,696
794,696,695
792,796,797
792,797,795
792,795,794
792,794,793
797,798,704
797,704,701
797,701,700
797,700,795
799,800,801
799,801,798
799,798,797
799,797,796
705,704,798
705,798,801
705,801,711
705,711,708
711,801,800
711,800,802
711,802,803
711,803,804
711,804,805
711,805,712
712,805,806
712,806,716
712,716,713
806,805,804
806,804,807
806,807,808
806,808,809
806,809,810
717,716,806
717,806,810
717,810,811
717,811,719
810,809,812
810,812,813
810,813,814
810,814,811
719,811,814
719,814,815
719,815,720
720,815,816
720,816,724
720,724,722
720,722,721
724,816,817
724,817,818
724,818,727
724,727,726
724,726,725
727,818,819
727,819,820
727,820,728
728,820,821
728,821,822
728,822,731
728,731,730
728,730,729
731,822,823
731,823,824
731,824,732
732,824,825
732,825,734
732,734,733
734,825,826
734,826,827
734,827,828
734,828,736
734,736,735
828,829,830
828,830,737
828,737,736
737,830,831
737,831,741
737,741,739
737,739,738
831,832,833
831,833,742
831,742,741
743,742,833
743,833,834
743,834,746
743,746,744
834,835,750
834,750,749
834,749,748
834,748,747
834,747,746
751,750,835
751,835,836
751,836,752
752,836,837
752,837,838
752,838,755
752,755,754
752,754,753
755,838,839
755,839,840
755,840,757
755,757,756
757,840,841
757,841,759
757,759,758
759,841,842
759,842,843
759,843,844
759,844,761
759,761,760
761,844,845
761,845,846
761,846,762
763,762,846
763,846,847
763,847,848
763,848,765
763,765,764
848,849,850
848,850,767
848,767,766
848,766,765
770,768,767
770,767,850
770,850,851
770,851,852
673,771,770
673,770,852
673,852,774
673,774,772
673,772,675
673,675,674
775,853,854
775,854,776
854,853,855
854,855,856
854,856,857
854,857,858
777,776,854
777,854,858
777,858,779
777,779,778
779,858,857
779,857,859
779,859,860
779,860,781
779,781,780
782,781,860
782,860,861
782,861,784
782,784,783
784,861,862
784,862,863
784,863,786
784,786,785
786,863,864
786,864,865
786,865,866
786,866,788
786,788,787
865,867,868
865,868,866
788,866,868
788,868,869
788,869,791
788,791,789
869,870,799
869,799,796
869,796,792
869,792,791
868,867,871
868,871,872
868,872,873
868,873,870
868,870,869
873,802,800
873,800,799
873,799,870
872,874,875
872,875,803
872,803,802
872,802,873
803,875,876
803,876,877
803,877,807
803,807,804
807,877,878
807,878,879
807,879,808
808,879,880
808,880,881
808,881,812
808,812,809
880,882,883
880,883,884
880,884,881
812,881,884
812,884,885
812,885,813
814,813,885
814,885,886
814,886,817
814,817,816
814,816,815
817,886,887
817,887,888
817,888,819
817,819,818
819,888,889
819,889,890
819,890,821
819,821,820
821,890,891
821,891,892
821,892,823
821,823,822
823,892,893
823,893,826
823,826,825
823,825,824
826,893,894
826,894,895
826,895,896
826,896,897
826,897,827
827,897,898
827,898,829
827,829,828
896,899,900
896,900,901
896,901,898
896,898,897
898,901,832
898,832,831
898,831,830
898,830,829
833,832,901
833,901,900
833,900,902
833,902,837
833,837,836
833,836,835
833,835,834
902,903,839
902,839,838
902,838,837
839,903,904
839,904,905
839,905,842
839,842,841
839,841,840
842,905,906
842,906,907
842,907,843
843,907,908
843,908,845
843,845,844
846,845,908
846,908,909
846,909,910
846,910,911
846,911,847
847,911,912
847,912,913
847,913,849
847,849,848
850,849,913
850,913,914
850,914,915
850,915,851
852,851,915
852,915,916
852,916,855
852,855,853
852,853,775
852,775,774
916,917,918
916,918,856
916,856,855
919,918,917
919,917,920
919,920,921
857,856,918
857,918,919
857,919,859
860,859,919
860,919,921
860,921,922
860,922,923
860,923,924
860,924,925
860,925,926
860,926,862
860,862,861
862,926,927
862,927,928
862,928,864
862,864,863
927,929,930
927,930,931
927,931,928
864,928,931
864,931,871
864,871,867
864,867,865
931,930,932
931,932,874
931,874,872
931,872,871
933,934,932
933,932,930
933,930,929
932,934,935
932,935,876
932,876,875
932,875,874
876,935,936
876,936,937
876,937,878
876,878,877
878,937,938
878,938,939
878,939,940
878,940,882
878,882,880
878,880,879
941,940,939
941,939,942
941,942,943
883,882,940
883,940,941
885,884,883
885,883,941
885,941,943
885,943,944
885,944,945
885,945,887
885,887,886
887,945,946
887,946,947
887,947,948
887,948,949
887,949,889
887,889,888
889,949,950
889,950,891
889,891,890
948,951,952
948,952,953
948,953,950
948,950,949
894,954,955
894,955,895
956,957,958
956,958,959
956,959,960
956,960,955
956,955,954
895,955,960
895,960,899
895,899,896
960,959,904
960,904,903
960,903,902
960,902,900
960,900,899
958,961,906
958,906,905
958,905,904
958,904,959
908,907,906
908,906,961
908,961,962
908,962,909
909,962,963
909,963,964
909,964,965
909,965,910
910,965,966
910,966,967
910,967,912
910,912,911
968,914,913
968,913,912
968,912,967
968,967,969
968,969,970
915,914,968
915,968,920
915,920,917
915,917,916
921,920,968
921,968,970
921,970,971
921,971,922
922,971,972
922,972,973
922,973,974
922,974,923
923,974,975
923,975,976
923,976,977
923,977,924
924,977,978
924,978,979
924,979,980
924,980,925
925,980,981
925,981,933
925,933,929
925,929,927
925,927,926
981,982,936
981,936,935
981,935,934
981,934,933
979,983,982
979,982,981
979,981,980
984,938,937
984,937,936
984,936,982
984,982,983
985,986,942
985,942,939
985,939,938
985,938,984
943,942,986
943,986,987
943,987,944
944,987,988
944,988,989
944,989,946
944,946,945
946,989,990
946,990,991
946,991,992
946,992,947
947,992,993
947,993,951
947,951,948
993,994,995
993,995,996
993,996,952
993,952,951
953,952,996
953,996,957
953,957,956
996,995,963
996,963,962
996,962,961
996,961,958
996,958,957
963,995,994
963,994,997
963,997,998
963,998,964
964,998,999
964,999,966
964,966,965
967,966,999
967,999,1000
967,1000,1001
967,1001,1002
967,1002,969
970,969,1002
970,1002,972
970,972,971
973,1003,1004
973,1004,1005
973,1005,1006
973,1006,975
973,975,974
975,1006,1007
975,1007,1008
975,1008,1009
975,1009,976
976,1009,1010
976,1010,978
976,978,977
978,1010,1011
978,1011,985
978,985,984
978,984,983
978,983,979
1008,1012,1011
1008,1011,1010
1008,1010,1009
1011,1012,1013
1011,1013,988
1011,988,987
1011,987,986
1011,986,985
988,1013,1014
988,1014,1015
988,1015,990
988,990,989
990,1015,1016
990,1016,1017
990,1017,1018
990,1018,1019
990,1019,991
991,1019,997
991,997,994
991,994,993
991,993,992
999,998,997
999,997,1019
999,1019,1018
999,1018,1000
1001,1000,1018
1001,1018,1017
1001,1017,1004
1001,1004,1003
972,1002,1001
972,1001,1003
972,1003,973
1005,1020,1021
1005,1021,1007
1005,1007,1006
1007,1021,1014
1007,1014,1013
1007,1013,1012
1007,1012,1008
1016,1015,1014
1016,1014,1021
1016,1021,1020
1004,1017,1016
1004,1016,1020
1004,1020,1005
891,950,953
891,953,956
891,956,954
891,954,894
891,894,893
891,893,892
