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Complete non-self-adjacent paths:Results 02C
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L C
3 8
4 16
5 32
6 44
7 156
8 188
9 496
10 764
11 1416
12 2104
13 3680
14 5828
15 10052
16 16276
17 27220
18 44072
19 72616
20 118216
21 194024
22 316508
23 517340
24 842168
25 1368752
26 2192688
27 3467860
28 5021684
29 7306092
30 8262028
31 10541724
32 8842720
33 9287688
34 6224472
35 4921440
36 2785012
37 1596596
38 738212
39 306892
40 106080
41 30656
42 6832
43 1248
44 64
Total 75181964
Number of times each node is the starting node (SN) in a CNSAP of each length (L)
SN 0 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
L
3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0
0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0
0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0
5 1 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 1
0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0
1 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 1
6 0 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 9 0 0 0
0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0
0 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 9 0 0 0
7 1 1 1 0 13 0 0 0 0 0 0 0 0 0 0 0 13 0 1 1 1
2 2 4 8 4 8 4 4 4 4 4 4 4 4 4 8 4 8 4 2 2
1 1 1 0 13 0 0 0 0 0 0 0 0 0 0 0 13 0 1 1 1
8 0 0 0 3 0 17 0 0 0 0 0 0 0 0 0 17 0 3 0 0 0
2 2 2 4 18 4 8 4 4 4 4 4 4 4 8 4 18 4 2 2 2
0 0 0 3 0 17 0 0 0 0 0 0 0 0 0 17 0 3 0 0 0
9 3 3 4 4 14 4 25 4 4 4 4 4 4 4 25 4 14 4 4 3 3
4 4 4 6 8 40 8 12 8 8 8 8 8 12 8 40 8 6 4 4 4
3 3 4 4 14 4 25 4 4 4 4 4 4 4 25 4 14 4 4 3 3
10 4 4 4 9 8 36 8 33 8 8 8 8 8 33 8 36 8 9 4 4 4
4 4 4 4 8 8 66 8 12 8 8 8 12 8 66 8 8 4 4 4 4
4 4 4 9 8 36 8 33 8 8 8 8 8 33 8 36 8 9 4 4 4
11 9 10 11 10 22 18 82 18 47 18 18 18 47 18 82 18 22 10 11 10 9
6 6 6 6 8 18 12 104 12 16 12 16 12 104 12 18 8 6 6 6 6
9 10 11 10 22 18 82 18 47 18 18 18 47 18 82 18 22 10 11 10 9
12 12 12 12 17 12 34 24 150 24 57 24 57 24 150 24 34 12 17 12 12 12
10 10 10 10 10 16 46 20 154 20 28 20 154 20 46 16 10 10 10 10 10
12 12 12 17 12 34 24 150 24 57 24 57 24 150 24 34 12 17 12 12 12
13 21 22 24 23 34 28 71 44 266 44 118 44 266 44 71 28 34 23 24 22 21
20 20 20 20 20 22 36 122 40 228 40 228 40 122 36 22 20 20 20 20 20
21 22 24 23 34 28 71 44 266 44 118 44 266 44 71 28 34 23 24 22 21
14 32 33 33 38 34 52 46 141 66 467 66 467 66 141 46 52 34 38 33 33 32
36 36 36 36 36 36 44 68 286 72 556 72 286 68 44 36 36 36 36 36 36
32 33 33 38 34 52 46 141 66 467 66 467 66 141 46 52 34 38 33 33 32
15 57 62 64 64 75 70 111 102 368 126 1222 126 368 102 111 70 75 64 64 62 57
62 62 62 62 62 62 64 94 120 894 124 894 120 94 64 62 62 62 62 62 62
57 62 64 64 75 70 111 102 368 126 1222 126 368 102 111 70 75 64 64 62 57
16 96 103 104 109 105 124 112 252 180 1475 208 1475 180 252 112 124 105 109 104 103 96
102 102 102 102 102 102 106 112 572 200 2016 200 572 112 106 102 102 102 102 102 102
96 103 104 109 105 124 112 252 180 1475 208 1475 180 252 112 124 105 109 104 103 96
17 167 180 186 186 198 193 289 212 1514 340 2442 340 1514 212 289 193 198 186 186 180 167
168 168 168 168 168 172 168 634 204 2056 328 2056 204 634 168 172 168 168 168 168 168
167 180 186 186 198 193 289 212 1514 340 2442 340 1514 212 289 193 198 186 186 180 167
18 280 297 304 310 306 382 314 1894 354 2855 538 2855 354 1894 314 382 306 310 304 297 280
280 280 280 280 284 280 834 280 3014 376 1436 376 3014 280 834 280 284 280 280 280 280
280 297 304 310 306 382 314 1894 354 2855 538 2855 354 1894 314 382 306 310 304 297 280
19 473 502 516 520 593 528 2531 550 4638 610 2066 610 4638 550 2531 528 593 520 516 502 473
474 474 474 478 474 1126 474 4784 472 1852 476 1852 472 4784 474 1126 474 478 474 474 474
473 502 516 520 593 528 2531 550 4638 610 2066 610 4638 550 2531 528 593 520 516 502 473
20 792 839 856 933 865 3402 873 7835 868 2717 576 2717 868 7835 873 3402 865 933 856 839 792
806 806 810 806 1564 806 7328 802 4136 520 376 520 4136 802 7328 806 1564 806 810 806 806
792 839 856 933 865 3402 873 7835 868 2717 576 2717 868 7835 873 3402 865 933 856 839 792
21 1337 1422 1521 1464 4654 1476 13019 1451 5230 768 1908 768 5230 1451 13019 1476 4654 1464 1521 1422 1337
1368 1372 1368 2240 1368 10874 1364 8790 996 616 128 616 996 8790 1364 10874 1368 2240 1368 1372 1368
1337 1422 1521 1464 4654 1476 13019 1451 5230 768 1908 768 5230 1451 13019 1476 4654 1464 1521 1422 1337
22 2256 2474 2448 6406 2473 20904 2430 10797 1402 2466 450 2466 1402 10797 2430 20904 2473 6406 2448 2474 2256
2316 2312 3306 2312 15738 2308 17454 1860 1846 224 32 224 1846 1860 17454 2308 15738 2312 3306 2312 2316
2256 2474 2448 6406 2473 20904 2430 10797 1402 2466 450 2466 1402 10797 2430 20904 2473 6406 2448 2474 2256
23 3894 4066 8964 4180 32593 4148 22096 2732 4575 626 1912 626 4575 2732 22096 4148 32593 4180 8964 4066 3894
3898 5022 3898 22360 3894 32696 3358 5140 658 84 4 84 658 5140 3358 32696 3894 22360 3898 5022 3898
3894 4066 8964 4180 32593 4148 22096 2732 4575 626 1912 626 4575 2732 22096 4148 32593 4180 8964 4066 3894
24 6448 12673 7008 49437 7013 43525 5137 9516 1161 2439 464 2439 1161 9516 5137 43525 7013 49437 7008 12673 6448
7832 6570 31380 6566 58268 5934 13288 1698 352 18 0 18 352 1698 13288 5934 58268 6566 31380 6570 7832
6448 12673 7008 49437 7013 43525 5137 9516 1161 2439 464 2439 1161 9516 5137 43525 7013 49437 7008 12673 6448
25 17829 11588 73337 11858 82366 9474 20590 2546 4434 625 1924 625 4434 2546 20590 9474 82366 11858 73337 11588 17829
11084 43766 11080 99498 10344 32026 3972 1286 100 2 0 2 100 1286 3972 32026 10344 99498 11080 43766 11084
17829 11588 73337 11858 82366 9474 20590 2546 4434 625 1924 625 4434 2546 20590 9474 82366 11858 73337 11588 17829
26 18380 106624 19896 149780 17021 44635 5557 8981 1086 2453 466 2453 1086 8981 5557 44635 17021 149780 19896 106624 18380
61022 18712 163794 17864 72354 8612 4254 420 20 0 0 0 20 420 4254 8612 72354 17864 163794 18712 61022
18380 106624 19896 149780 17021 44635 5557 8981 1086 2453 466 2453 1086 8981 5557 44635 17021 149780 19896 106624 18380
27 151589 32930 262516 30068 95744 11944 18924 2236 4463 632 1924 632 4463 2236 18924 11944 95744 30068 262516 32930 151589
31610 261324 30642 154168 17606 12976 1462 124 2 0 0 0 2 124 1462 12976 17606 154168 30642 261324 31610
151589 32930 262516 30068 95744 11944 18924 2236 4463 632 1924 632 4463 2236 18924 11944 95744 30068 262516 32930 151589
28 52296 444400 52148 200914 24757 40293 4701 9000 1105 2454 466 2454 1105 9000 4701 40293 24757 200914 52148 444400 52296
405972 52294 311704 34394 36832 4426 596 22 0 0 0 0 0 22 596 4426 36832 34394 311704 52294 405972
52296 444400 52148 200914 24757 40293 4701 9000 1105 2454 466 2454 1105 9000 4701 40293 24757 200914 52148 444400 52296
29 721191 88374 409771 49516 86512 10196 18784 2268 4470 631 1924 631 4470 2268 18784 10196 86512 49516 409771 88374 721191
88920 601434 64884 97854 12020 2438 144 2 0 0 0 0 0 2 144 2438 12020 97854 64884 601434 88920
721191 88374 409771 49516 86512 10196 18784 2268 4470 631 1924 631 4470 2268 18784 10196 86512 49516 409771 88374 721191
30 142496 804071 95320 186303 22201 39407 4669 9021 1105 2454 466 2454 1105 9021 4669 39407 22201 186303 95320 804071 142496
1113226 119172 244518 29924 8886 704 24 0 0 0 0 0 0 0 24 704 8886 29924 244518 119172 1113226
142496 804071 95320 186303 22201 39407 4669 9021 1105 2454 466 2454 1105 9021 4669 39407 22201 186303 95320 804071 142496
31 1448725 175330 396696 48016 82855 9736 18841 2264 4465 630 1922 630 4465 2264 18841 9736 82855 48016 396696 175330 1448725
214446 577376 69406 29596 2826 172 2 0 0 0 0 0 0 0 2 172 2826 29596 69406 577376 214446
1448725 175330 396696 48016 82855 9736 18841 2264 4465 630 1922 630 4465 2264 18841 9736 82855 48016 396696 175330 1448725
32 298936 788349 100984 171288 20125 39385 4657 9005 1098 2453 466 2453 1098 9005 4657 39385 20125 171288 100984 788349 298936
1294292 151894 91392 9794 936 26 0 0 0 0 0 0 0 0 0 26 936 9794 91392 151894 1294292
298936 788349 100984 171288 20125 39385 4657 9005 1098 2453 466 2453 1098 9005 4657 39385 20125 171288 100984 788349 298936
33 1334009 200272 322336 41066 79860 9594 18717 2235 4452 624 1920 624 4452 2235 18717 9594 79860 41066 322336 200272 1334009
316872 264018 30244 4262 196 2 0 0 0 0 0 0 0 0 0 2 196 4262 30244 264018 316872
1334009 200272 322336 41066 79860 9594 18717 2235 4452 624 1920 624 4452 2235 18717 9594 79860 41066 322336 200272 1334009
34 352160 499055 79948 140918 19137 37101 4513 8913 1081 2446 464 2446 1081 8913 4513 37101 19137 140918 79948 499055 352160
717994 85044 17070 1092 28 0 0 0 0 0 0 0 0 0 0 0 28 1092 17070 85044 717994
352160 499055 79948 140918 19137 37101 4513 8913 1081 2446 464 2446 1081 8913 4513 37101 19137 140918 79948 499055 352160
35 624061 138382 193128 35388 61195 8908 17017 2150 4381 610 1910 610 4381 2150 17017 8908 61195 35388 193128 138382 624061
221270 61912 4958 228 2 0 0 0 0 0 0 0 0 0 0 0 2 228 4958 61912 221270
624061 138382 193128 35388 61195 8908 17017 2150 4381 610 1910 610 4381 2150 17017 8908 61195 35388 193128 138382 624061
36 196892 198541 54544 75449 15905 25589 4098 7699 1034 2391 450 2391 1034 7699 4098 25589 15905 75449 54544 198541 196892
207032 19322 1388 30 0 0 0 0 0 0 0 0 0 0 0 0 0 30 1388 19322 207032
196892 198541 54544 75449 15905 25589 4098 7699 1034 2391 450 2391 1034 7699 4098 25589 15905 75449 54544 198541 196892
37 156939 61830 68710 22564 27920 6983 10286 1900 3534 576 1818 576 3534 1900 10286 6983 27920 22564 68710 61830 156939
66756 6982 256 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 256 6982 66756
156939 61830 68710 22564 27920 6983 10286 1900 3534 576 1818 576 3534 1900 10286 6983 27920 22564 68710 61830 156939
38 49312 46103 22288 22350 8801 9758 2977 3972 888 1789 416 1789 888 3972 2977 9758 8801 22350 22288 46103 49312
30582 1600 32 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 32 1600 30582
49312 46103 22288 22350 8801 9758 2977 3972 888 1789 416 1789 888 3972 2977 9758 8801 22350 22288 46103 49312
39 20429 14454 13221 7332 6777 3234 3242 1246 1569 478 1090 478 1569 1246 3242 3234 6777 7332 13221 14454 20429
8098 292 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 292 8098
20429 14454 13221 7332 6777 3234 3242 1246 1569 478 1090 478 1569 1246 3242 3234 6777 7332 13221 14454 20429
40 5136 5558 3920 3382 2170 1905 1090 1045 506 646 322 646 506 1045 1090 1905 2170 3382 3920 5558 5136
1968 34 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 34 1968
5136 5558 3920 3382 2170 1905 1090 1045 506 646 322 646 506 1045 1090 1905 2170 3382 3920 5558 5136
41 1165 1336 1168 903 782 572 509 348 340 236 284 236 340 348 509 572 782 903 1168 1336 1165
324 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 324
1165 1336 1168 903 782 572 509 348 340 236 284 236 340 348 509 572 782 903 1168 1336 1165
42 180 257 224 203 169 153 128 120 104 104 96 104 104 120 128 153 169 203 224 257 180
36 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 36
180 257 224 203 169 153 128 120 104 104 96 104 104 120 128 153 169 203 224 257 180
43 20 34 33 30 29 30 30 30 30 30 30 30 30 30 30 30 29 30 33 34 20
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
20 34 33 30 29 30 30 30 30 30 30 30 30 30 30 30 29 30 33 34 20
44 0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 0
Total 5607628 3640194 2192254 1261051 703340 383840 206500 110712 60852 37284 30384 37284 60852 110712 206500 383840 703340 1261051 2192254 3640194 5607628
4808896 2282434 1083308 514178 244068 115894 55116 26390 13012 7202 5580 7202 13012 26390 55116 115894 244068 514178 1083308 2282434 4808896
5607628 3640194 2192254 1261051 703340 383840 206500 110712 60852 37284 30384 37284 60852 110712 206500 383840 703340 1261051 2192254 3640194 5607628
Grand total = 1*5580 + 2*7202 + 2*13012 + 2*26390 + 2*30384 + 4*37284 + 2*55116 + 4*60852 + 4*110712 + 2*115894 + 4*206500 + 2*244068 + 4*383840 + 2*514178 + 4*703340 + 2*1083308 + 4*1261051 + 4*2192254 + 2*2282434 + 4*3640194 +
2*4808896 + 4*5607628
= 75181964
Number of times each node is the ending node (EN) in a CNSAP of each length (L)
EN 0 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
L
3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
5 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8
6 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11
7 19 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 19
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
19 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 19
8 29 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 29
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
29 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 29
9 52 4 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 4 52
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
52 4 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 4 52
10 90 5 7 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 7 5 90
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
90 5 7 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 7 5 90
11 158 9 14 17 23 24 24 24 24 24 24 24 24 24 24 24 23 17 14 9 158
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
158 9 14 17 23 24 24 24 24 24 24 24 24 24 24 24 23 17 14 9 158
12 265 11 17 22 25 33 34 34 34 34 34 34 34 34 34 33 25 22 17 11 265
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
265 11 17 22 25 33 34 34 34 34 34 34 34 34 34 33 25 22 17 11 265
13 445 21 31 36 46 53 63 64 64 64 64 64 64 64 63 53 46 36 31 21 445
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
445 21 31 36 46 53 63 64 64 64 64 64 64 64 63 53 46 36 31 21 445
14 741 34 46 55 60 76 89 101 102 102 102 102 102 101 89 76 60 55 46 34 741
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
741 34 46 55 60 76 89 101 102 102 102 102 102 101 89 76 60 55 46 34 741
15 1248 63 85 95 107 120 152 173 187 188 188 188 187 173 152 120 107 95 85 63 1248
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
1248 63 85 95 107 120 152 173 187 188 188 188 187 173 152 120 107 95 85 63 1248
16 2107 104 139 154 163 181 202 262 293 309 310 309 293 262 202 181 163 154 139 104 2107
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2107 104 139 154 163 181 202 262 293 309 310 309 293 262 202 181 163 154 139 104 2107
17 3571 177 241 263 280 295 335 374 478 521 538 521 478 374 335 295 280 263 241 177 3571
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
3571 177 241 263 280 295 335 374 478 521 538 521 478 374 335 295 280 263 241 177 3571
18 6039 290 395 433 448 470 493 571 644 811 848 811 644 571 493 470 448 433 395 290 6039
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6039 290 395 433 448 470 493 571 644 811 848 811 644 571 493 470 448 433 395 290 6039
19 10202 489 667 731 760 780 822 871 1028 1141 1324 1141 1028 871 822 780 760 731 667 489 10202
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
10202 489 667 731 760 780 822 871 1028 1141 1324 1141 1028 871 822 780 760 731 667 489 10202
20 17211 822 1113 1221 1259 1287 1314 1393 1466 1689 1558 1689 1466 1393 1314 1287 1259 1221 1113 822 17211
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
17211 822 1113 1221 1259 1287 1314 1393 1466 1689 1558 1689 1466 1393 1314 1287 1259 1221 1113 822 17211
21 29041 1397 1887 2065 2136 2168 2214 2239 2298 1975 2170 1975 2298 2239 2214 2168 2136 2065 1887 1397 29041
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
29041 1397 1887 2065 2136 2168 2214 2239 2298 1975 2170 1975 2298 2239 2214 2168 2136 2065 1887 1397 29041
22 49015 2362 3185 3479 3587 3637 3642 3593 2988 2671 1936 2671 2988 3593 3642 3637 3587 3479 3185 2362 49015
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
49015 2362 3185 3479 3587 3637 3642 3593 2988 2671 1936 2671 2988 3593 3642 3637 3587 3479 3185 2362 49015
23 82762 3995 5393 5883 6067 6111 6013 5141 4270 2475 2448 2475 4270 5141 6013 6111 6067 5883 5393 3995 82762
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
82762 3995 5393 5883 6067 6111 6013 5141 4270 2475 2448 2475 4270 5141 6013 6111 6067 5883 5393 3995 82762
24 139678 6736 9099 9924 10186 10124 8984 7509 4186 3099 2034 3099 4186 7509 8984 10124 10186 9924 9099 6736 139678
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
139678 6736 9099 9924 10186 10124 8984 7509 4186 3099 2034 3099 4186 7509 8984 10124 10186 9924 9099 6736 139678
25 235212 11365 15360 16724 17010 15686 13516 7962 5470 2643 2478 2643 5470 7962 13516 15686 17010 16724 15360 11365 235212
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
235212 11365 15360 16724 17010 15686 13516 7962 5470 2643 2478 2643 5470 7962 13516 15686 17010 16724 15360 11365 235212
26 389393 19173 25874 27999 26945 24051 15283 10589 4682 3165 2036 3165 4682 10589 15283 24051 26945 27999 25874 19173 389393
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
389393 19173 25874 27999 26945 24051 15283 10589 4682 3165 2036 3165 4682 10589 15283 24051 26945 27999 25874 19173 389393
27 635132 32338 43431 45123 42129 29015 20831 9337 5733 2657 2476 2657 5733 9337 20831 29015 42129 45123 43431 32338 635132
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
635132 32338 43431 45123 42129 29015 20831 9337 5733 2657 2476 2657 5733 9337 20831 29015 42129 45123 43431 32338 635132
28 925605 54327 70713 71540 53672 40286 18854 11494 4752 3161 2034 3161 4752 11494 18854 40286 53672 71540 70713 54327 925605
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
925605 54327 70713 71540 53672 40286 18854 11494 4752 3161 2034 3161 4752 11494 18854 40286 53672 71540 70713 54327 925605
29 1372882 88650 113195 95266 75904 37800 23606 9604 5732 2648 2470 2648 5732 9604 23606 37800 75904 95266 113195 88650 1372882
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
1372882 88650 113195 95266 75904 37800 23606 9604 5732 2648 2470 2648 5732 9604 23606 37800 75904 95266 113195 88650 1372882
30 1470751 141767 154701 136572 73711 47943 19689 11493 4719 3149 2024 3149 4719 11493 19689 47943 73711 136572 154701 141767 1470751
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1470751 141767 154701 136572 73711 47943 19689 11493 4719 3149 2024 3149 4719 11493 19689 47943 73711 136572 154701 141767 1470751
31 1908501 191548 222625 135802 94500 39891 23593 9449 5669 2625 2454 2625 5669 9449 23593 39891 94500 135802 222625 191548 1908501
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
1908501 191548 222625 135802 94500 39891 23593 9449 5669 2625 2454 2625 5669 9449 23593 39891 94500 135802 222625 191548 1908501
32 1383821 271155 218335 173988 77031 47433 18988 11204 4614 3110 2002 3110 4614 11204 18988 47433 77031 173988 218335 271155 1383821
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1383821 271155 218335 173988 77031 47433 18988 11204 4614 3110 2002 3110 4614 11204 18988 47433 77031 173988 218335 271155 1383821
33 1501640 246198 274085 133236 89832 36497 22221 8960 5490 2555 2414 2555 5490 8960 22221 36497 89832 133236 274085 246198 1501640
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
1501640 246198 274085 133236 89832 36497 22221 8960 5490 2555 2414 2555 5490 8960 22221 36497 89832 133236 274085 246198 1501640
34 786115 297151 185719 148552 62203 41059 16656 10382 4319 2995 1934 2995 4319 10382 16656 41059 62203 148552 185719 297151 786115
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
786115 297151 185719 148552 62203 41059 16656 10382 4319 2995 1934 2995 4319 10382 16656 41059 62203 148552 185719 297151 786115
35 649647 174930 192615 86790 64992 26885 18413 7588 4995 2359 2290 2359 4995 7588 18413 26885 64992 86790 192615 174930 649647
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
649647 174930 192615 86790 64992 26885 18413 7588 4995 2359 2290 2359 4995 7588 18413 26885 64992 86790 192615 174930 649647
36 268563 164373 94817 80124 34823 27029 11302 8176 3511 2672 1726 2672 3511 8176 11302 27029 34823 80124 94817 164373 268563
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
268563 164373 94817 80124 34823 27029 11302 8176 3511 2672 1726 2672 3511 8176 11302 27029 34823 80124 94817 164373 268563
37 153502 71642 72867 35830 29848 13379 10887 4675 3716 1832 1940 1832 3716 4675 10887 13379 29848 35830 72867 71642 153502
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
153502 71642 72867 35830 29848 13379 10887 4675 3716 1832 1940 1832 3716 4675 10887 13379 29848 35830 72867 71642 153502
38 51053 44655 28289 24010 12423 10503 4964 4244 1956 1862 1188 1862 1956 4244 4964 10503 12423 24010 28289 44655 51053
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
51053 44655 28289 24010 12423 10503 4964 4244 1956 1862 1188 1862 1956 4244 4964 10503 12423 24010 28289 44655 51053
39 18905 15320 14005 8630 7258 4103 3502 1826 1682 914 1154 914 1682 1826 3502 4103 7258 8630 14005 15320 18905
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
18905 15320 14005 8630 7258 4103 3502 1826 1682 914 1154 914 1682 1826 3502 4103 7258 8630 14005 15320 18905
40 4727 5611 4207 3544 2399 2019 1278 1120 670 706 478 706 670 1120 1278 2019 2399 3544 4207 5611 4727
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4727 5611 4207 3544 2399 2019 1278 1120 670 706 478 706 670 1120 1278 2019 2399 3544 4207 5611 4727
41 1056 1354 1197 938 804 608 532 384 364 272 308 272 364 384 532 608 804 938 1197 1354 1056
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
1056 1354 1197 938 804 608 532 384 364 272 308 272 364 384 532 608 804 938 1197 1354 1056
42 165 259 227 204 173 158 132 124 108 108 100 108 108 124 132 158 173 204 227 259 165
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
165 259 227 204 173 158 132 124 108 108 100 108 108 124 132 158 173 204 227 259 165
43 19 34 33 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 33 34 19
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
19 34 33 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 33 34 19
44 0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 0
Total 12099387 1848373 1754626 1249304 790860 469760 268684 151016 86300 54592 45140 54592 86300 151016 268684 469760 790860 1249304 1754626 1848373 12099387
38 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 38
12099387 1848373 1754626 1249304 790860 469760 268684 151016 86300 54592 45140 54592 86300 151016 268684 469760 790860 1249304 1754626 1848373 12099387
Grand total = 2*38 + 2*45140 + 4*54592 + 4*86300 + 4*151016 + 4*268684 + 4*469760 + 4*790860 + 4*1249304 + 4*1754626 + 4*1848373 + 4*12099387
= 75181964
Number of times each node (N) is present in a CNSAP of each length (L)
N 0 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
L
3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2
2 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 2
2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2
4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4
4 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 4
4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4
5 9 7 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 7 9
8 16 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 16 8
9 7 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 7 9
6 11 7 5 9 0 0 0 0 0 0 0 0 0 0 0 0 0 9 5 7 11
12 22 18 12 4 0 0 0 0 0 0 0 0 0 0 0 4 12 18 22 12
11 7 5 9 0 0 0 0 0 0 0 0 0 0 0 0 0 9 5 7 11
7 25 24 23 21 23 10 10 10 10 10 10 10 10 10 10 10 23 21 23 24 25
26 38 40 32 20 12 8 8 8 8 8 8 8 8 8 12 20 32 40 38 26
25 24 23 21 23 10 10 10 10 10 10 10 10 10 10 10 23 21 23 24 25
8 32 27 24 31 28 27 10 10 10 10 10 10 10 10 10 27 28 31 24 27 32
36 62 50 48 46 24 16 12 12 12 12 12 12 12 16 24 46 48 50 62 36
32 27 24 31 28 27 10 10 10 10 10 10 10 10 10 27 28 31 24 27 32
9 68 67 72 93 92 76 71 50 50 50 50 50 50 50 71 76 92 93 72 67 68
76 118 96 104 100 96 56 48 44 44 44 44 44 48 56 96 100 104 96 118 76
68 67 72 93 92 76 71 50 50 50 50 50 50 50 71 76 92 93 72 67 68
10 108 100 99 135 156 154 112 103 78 78 78 78 78 103 112 154 156 135 99 100 108
120 208 176 158 182 180 162 96 88 84 84 84 88 96 162 180 182 158 176 208 120
108 100 99 135 156 154 112 103 78 78 78 78 78 103 112 154 156 135 99 100 108
11 201 191 194 252 302 314 308 222 209 180 180 180 209 222 308 314 302 252 194 191 201
218 358 308 284 304 348 326 280 180 172 168 172 180 280 326 348 304 284 308 358 218
201 191 194 252 302 314 308 222 209 180 180 180 209 222 308 314 302 252 194 191 201
12 320 289 280 367 422 475 481 474 318 301 268 301 318 474 481 475 422 367 280 289 320
346 590 508 466 474 530 594 524 434 292 288 292 434 524 594 530 474 466 508 590 346
320 289 280 367 422 475 481 474 318 301 268 301 318 474 481 475 422 367 280 289 320
13 557 518 513 661 770 852 912 893 882 622 638 622 882 893 912 852 770 661 513 518 557
600 992 856 802 810 898 990 1060 890 744 560 744 890 1060 990 898 810 802 856 992 600
557 518 513 661 770 852 912 893 882 622 638 622 882 893 912 852 770 661 513 518 557
14 910 842 816 1053 1198 1332 1447 1530 1441 1457 1076 1457 1441 1530 1447 1332 1198 1053 816 842 910
984 1656 1414 1340 1384 1476 1624 1758 1818 1468 1492 1468 1818 1758 1624 1476 1384 1340 1414 1656 984
910 842 816 1053 1198 1332 1447 1530 1441 1457 1076 1457 1441 1530 1447 1332 1198 1053 816 842 910
15 1566 1485 1472 1876 2141 2341 2593 2781 2925 2693 3238 2693 2925 2781 2593 2341 2141 1876 1472 1485 1566
1696 2824 2412 2284 2410 2598 2792 3062 3220 3528 3160 3528 3220 3062 2792 2598 2410 2284 2412 2824 1696
1566 1485 1472 1876 2141 2341 2593 2781 2925 2693 3238 2693 2925 2781 2593 2341 2141 1876 1472 1485 1566
16 2618 2468 2428 3103 3496 3803 4105 4585 4916 5878 5362 5878 4916 4585 4105 3803 3496 3103 2428 2468 2618
2840 4774 4070 3844 4046 4458 4774 5074 5946 6466 7508 6466 5946 5074 4774 4458 4046 3844 4070 4774 2840
2618 2468 2428 3103 3496 3803 4105 4585 4916 5878 5362 5878 4916 4585 4105 3803 3496 3103 2428 2468 2618
17 4472 4238 4206 5361 6062 6536 7110 7733 9633 10241 11684 10241 9633 7733 7110 6536 6062 5361 4206 4238 4472
4846 8110 6938 6532 6872 7570 8220 9224 10280 13142 13536 13142 10280 9224 8220 7570 6872 6532 6938 8110 4846
4472 4238 4206 5361 6062 6536 7110 7733 9633 10241 11684 10241 9633 7733 7110 6536 6062 5361 4206 4238 4472
18 7514 7067 6968 8903 10028 10858 11600 14100 15439 19225 19592 19225 15439 14100 11600 10858 10028 8903 6968 7067 7514
8138 13664 11690 10998 11498 12696 14382 16000 20126 22276 24368 22276 20126 16000 14382 12696 11498 10998 11690 13664 8138
7514 7067 6968 8903 10028 10858 11600 14100 15439 19225 19592 19225 15439 14100 11600 10858 10028 8903 6968 7067 7514
19 12731 11993 11853 15137 17162 18486 21743 23599 30110 31850 33446 31850 30110 23599 21743 18486 17162 15137 11853 11993 12731
13778 23078 19762 18604 19446 21984 24820 31502 35342 39242 39040 39242 35342 31502 24820 21984 19446 18604 19762 23078 13778
12731 11993 11853 15137 17162 18486 21743 23599 30110 31850 33446 31850 30110 23599 21743 18486 17162 15137 11853 11993 12731
20 21426 20141 19844 25418 28718 33516 36155 46489 49161 53057 53306 53057 49161 46489 36155 33516 28718 25418 19844 20141 21426
23190 38886 33278 31364 33518 37680 48198 55504 63586 63732 64136 63732 63586 55504 48198 37680 33518 31364 33278 38886 23190
21426 20141 19844 25418 28718 33516 36155 46489 49161 53057 53306 53057 49161 46489 36155 33516 28718 25418 19844 20141 21426
21 36219 34122 33744 43114 51942 56707 73380 77610 84976 85695 86596 85695 84976 77610 73380 56707 51942 43114 33744 34122 36219
39204 65684 56208 53868 57532 73300 85442 101744 104760 105728 104336 105728 104760 101744 85442 73300 57532 53868 56208 65684 39204
36219 34122 33744 43114 51942 56707 73380 77610 84976 85695 86596 85695 84976 77610 73380 56707 51942 43114 33744 34122 36219
22 61086 57607 56870 76605 87333 114509 121772 136917 138241 138277 136336 138277 138241 136917 121772 114509 87333 76605 56870 57607 61086
66140 110880 95840 91826 110652 130328 160714 168658 173310 172162 172616 172162 173310 168658 160714 130328 110652 91826 95840 110880 66140
61086 57607 56870 76605 87333 114509 121772 136917 138241 138277 136336 138277 138241 136917 121772 114509 87333 76605 56870 57607 61086
23 103299 97440 101118 129571 177061 190997 221588 225540 226075 220809 220306 220809 226075 225540 221588 190997 177061 129571 101118 97440 103299
111766 188440 162990 173660 196648 251038 270114 282660 280286 282442 284128 282442 280286 282660 270114 251038 196648 173660 162990 188440 111766
103299 97440 101118 129571 177061 190997 221588 225540 226075 220809 220306 220809 226075 225540 221588 190997 177061 129571 101118 97440 103299
24 174222 170126 170469 262025 294740 356255 365041 369277 360517 356390 352768 356390 360517 369277 365041 356255 294740 262025 170469 170126 174222
189822 319192 299914 307058 386104 426198 459174 456218 458696 461596 462304 461596 458696 456218 459174 426198 386104 307058 299914 319192 189822
174222 170126 170469 262025 294740 356255 365041 369277 360517 356390 352768 356390 360517 369277 365041 356255 294740 262025 170469 170126 174222
25 300490 286921 350706 436940 566347 589022 603456 590080 582052 573141 572612 573141 582052 590080 603456 589022 566347 436940 350706 286921 300490
320032 569340 524058 608534 662076 736060 739282 746008 747914 749470 751408 749470 747914 746008 739282 736060 662076 608534 524058 569340 320032
300490 286921 350706 436940 566347 589022 603456 590080 582052 573141 572612 573141 582052 590080 603456 589022 566347 436940 350706 286921 300490
26 492621 562696 577802 859468 929329 977560 957339 941489 923236 919261 915838 919261 923236 941489 957339 977560 929329 859468 577802 562696 492621
570816 967170 1013402 1037230 1152060 1170608 1192710 1197412 1202674 1203560 1199724 1203560 1202674 1197412 1192710 1170608 1152060 1037230 1013402 967170 570816
492621 562696 577802 859468 929329 977560 957339 941489 923236 919261 915838 919261 923236 941489 957339 977560 929329 859468 577802 562696 492621
27 926550 917275 1187534 1397935 1555061 1541023 1512531 1474331 1463319 1456464 1458424 1456464 1463319 1474331 1512531 1541023 1555061 1397935 1187534 917275 926550
935810 1792296 1708080 1823210 1818596 1872844 1885558 1902880 1907268 1898434 1897328 1898434 1907268 1902880 1885558 1872844 1818596 1823210 1708080 1792296 935810
926550 917275 1187534 1397935 1555061 1541023 1512531 1474331 1463319 1456464 1458424 1456464 1463319 1474331 1512531 1541023 1555061 1397935 1187534 917275 926550
28 1275697 1742585 1809379 2258561 2308092 2275101 2194257 2165157 2149343 2152699 2151226 2152699 2149343 2165157 2194257 2275101 2308092 2258561 1809379 1742585 1275697
1671812 2696050 2743168 2605868 2662668 2702724 2756434 2772998 2758402 2749386 2742196 2749386 2758402 2772998 2756434 2702724 2662668 2605868 2743168 2696050 1671812
1275697 1742585 1809379 2258561 2308092 2275101 2194257 2165157 2149343 2152699 2151226 2152699 2149343 2165157 2194257 2275101 2308092 2258561 1809379 1742585 1275697
29 2538305 2611129 3036874 3353284 3418225 3291087 3218338 3173031 3171099 3167514 3170468 3167514 3171099 3173031 3218338 3291087 3418225 3353284 3036874 2611129 2538305
2503362 4510136 4042002 3902550 3840566 3961782 4023668 4019584 4008970 3997550 3999848 3997550 4008970 4019584 4023668 3961782 3840566 3902550 4042002 4510136 2503362
2538305 2611129 3036874 3353284 3418225 3291087 3218338 3173031 3171099 3167514 3170468 3167514 3171099 3173031 3218338 3291087 3418225 3353284 3036874 2611129 2538305
30 2563379 3683999 3793752 4123470 3976914 3845838 3742679 3733227 3722678 3720359 3713554 3720359 3722678 3733227 3742679 3845838 3976914 4123470 3793752 3683999 2563379
3510292 4852084 4538464 4220700 4390526 4538658 4547344 4520512 4500022 4520898 4529552 4520898 4500022 4520512 4547344 4538658 4390526 4220700 4538464 4852084 3510292
2563379 3683999 3793752 4123470 3976914 3845838 3742679 3733227 3722678 3720359 3713554 3720359 3722678 3733227 3742679 3845838 3976914 4123470 3793752 3683999 2563379
31 4552541 4871436 5160436 5275696 5167001 4935719 4866978 4839565 4844828 4833137 4831478 4833137 4844828 4839565 4866978 4935719 5167001 5275696 5160436 4871436 4552541
4610276 6875602 5670384 5400630 5594924 5779194 5804176 5746872 5744728 5757816 5771936 5757816 5744728 5746872 5804176 5779194 5594924 5400630 5670384 6875602 4610276
4552541 4871436 5160436 5275696 5167001 4935719 4866978 4839565 4844828 4833137 4831478 4833137 4844828 4839565 4866978 4935719 5167001 5275696 5160436 4871436 4552541
32 3647809 4909900 4812832 4782578 4447137 4306333 4226408 4229186 4210209 4205750 4199730 4205750 4210209 4229186 4226408 4306333 4447137 4782578 4812832 4909900 3647809
4637414 4934610 4484640 4449902 4751396 4856358 4791418 4798024 4805664 4814346 4807468 4814346 4805664 4798024 4791418 4856358 4751396 4449902 4484640 4934610 4637414
3647809 4909900 4812832 4782578 4447137 4306333 4226408 4229186 4210209 4205750 4199730 4205750 4210209 4229186 4226408 4306333 4447137 4782578 4812832 4909900 3647809
33 4798250 5255973 5336297 5058226 4842428 4608428 4590769 4566788 4563843 4549327 4549216 4549327 4563843 4566788 4590769 4608428 4842428 5058226 5336297 5255973 4798250
5008740 5611366 4464168 4572758 5020896 5051850 5031536 5006640 5035528 5035450 5036092 5035450 5035528 5006640 5031536 5051850 5020896 4572758 4464168 5611366 5008740
4798250 5255973 5336297 5058226 4842428 4608428 4590769 4566788 4563843 4549327 4549216 4549327 4563843 4566788 4590769 4608428 4842428 5058226 5336297 5255973 4798250
34 3408951 4148620 3833940 3614644 3289854 3215740 3151764 3150549 3127993 3126278 3121696 3126278 3127993 3150549 3151764 3215740 3289854 3614644 3833940 4148620 3408951
3915518 2962432 2821736 3114288 3296110 3363478 3326992 3357902 3355814 3363212 3360360 3363212 3355814 3357902 3326992 3363478 3296110 3114288 2821736 2962432 3915518
3408951 4148620 3833940 3614644 3289854 3215740 3151764 3150549 3127993 3126278 3121696 3126278 3127993 3150549 3151764 3215740 3289854 3614644 3833940 4148620 3408951
35 3037388 3300062 3269435 2914884 2761739 2608976 2619372 2585785 2581146 2570603 2573062 2570603 2581146 2585785 2619372 2608976 2761739 2914884 3269435 3300062 3037388
3198030 2408112 2030730 2330006 2655158 2587268 2622152 2622862 2643102 2636384 2639108 2636384 2643102 2622862 2622152 2587268 2655158 2330006 2030730 2408112 3198030
3037388 3300062 3269435 2914884 2761739 2608976 2619372 2585785 2581146 2570603 2573062 2570603 2581146 2585785 2619372 2608976 2761739 2914884 3269435 3300062 3037388
36 1892551 2122337 1911718 1753495 1575445 1556706 1509568 1508855 1490543 1491021 1486632 1491021 1490543 1508855 1509568 1556706 1575445 1753495 1911718 2122337 1892551
2032464 1029146 1086612 1348694 1404354 1467414 1453192 1485010 1481212 1488562 1484892 1488562 1481212 1485010 1453192 1467414 1404354 1348694 1086612 1029146 2032464
1892551 2122337 1911718 1753495 1575445 1556706 1509568 1508855 1490543 1491021 1486632 1491021 1490543 1508855 1509568 1556706 1575445 1753495 1911718 2122337 1892551
37 1173423 1236909 1191700 1030247 972773 913480 919428 894688 895291 887645 889944 887645 895291 894688 919428 913480 972773 1030247 1191700 1236909 1173423
1220094 540448 553724 712878 819238 791252 837082 831696 844522 841496 846968 841496 844522 831696 837082 791252 819238 712878 553724 540448 1220094
1173423 1236909 1191700 1030247 972773 913480 919428 894688 895291 887645 889944 887645 895291 894688 919428 913480 972773 1030247 1191700 1236909 1173423
38 589795 621143 563727 507869 457660 452819 433893 433907 424631 426088 422670 426088 424631 433907 433893 452819 457660 507869 563727 621143 589795
609900 181672 236360 326362 340512 369508 368180 385146 381640 388244 385540 388244 381640 385146 368180 369508 340512 326362 236360 181672 609900
589795 621143 563727 507869 457660 452819 433893 433907 424631 426088 422670 426088 424631 433907 433893 452819 457660 507869 563727 621143 589795
39 260903 265331 250632 218441 205362 194264 193387 186139 186874 183362 184926 183362 186874 186139 193387 194264 205362 218441 250632 265331 260903
266204 58330 86016 121312 138136 140308 153474 151628 158460 156512 159396 156512 158460 151628 153474 140308 138136 121312 86016 58330 266204
260903 265331 250632 218441 205362 194264 193387 186139 186874 183362 184926 183362 186874 186139 193387 194264 205362 218441 250632 265331 260903
40 95543 96055 89200 80286 73957 72471 69269 68846 66826 67278 66098 67278 66826 68846 69269 72471 73957 80286 89200 96055 95543
96770 13298 25932 38444 41658 47322 48500 52064 51736 53984 52664 53984 51736 52064 48500 47322 41658 38444 25932 13298 96770
95543 96055 89200 80286 73957 72471 69269 68846 66826 67278 66098 67278 66826 68846 69269 72471 73957 80286 89200 96055 95543
41 28732 28482 27002 24367 23047 22171 21680 20956 20904 20380 20656 20380 20904 20956 21680 22171 23047 24367 27002 28482 28732
28926 2414 6198 9250 10682 11932 13160 13528 14520 14264 14952 14264 14520 13528 13160 11932 10682 9250 6198 2414 28926
28732 28482 27002 24367 23047 22171 21680 20956 20904 20380 20656 20380 20904 20956 21680 22171 23047 24367 27002 28482 28732
42 6680 6499 6210 5741 5451 5332 5134 5076 4942 4948 4878 4948 4942 5076 5134 5332 5451 5741 6210 6499 6680
6700 208 1104 1676 1940 2340 2496 2788 2832 3012 2944 3012 2832 2788 2496 2340 1940 1676 1104 208 6700
6680 6499 6210 5741 5451 5332 5134 5076 4942 4948 4878 4948 4942 5076 5134 5332 5451 5741 6210 6499 6680
43 1244 1211 1181 1115 1088 1066 1048 1034 1024 1018 1016 1018 1024 1034 1048 1066 1088 1115 1181 1211 1244
1246 4 132 192 248 292 328 356 376 388 392 388 376 356 328 292 248 192 132 4 1246
1244 1211 1181 1115 1088 1066 1048 1034 1024 1018 1016 1018 1024 1034 1048 1066 1088 1115 1181 1211 1244
44 64 64 62 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 62 64 64
64 0 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 0 64
64 64 62 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 62 64 64
Total 32018316 37077391 37621422 38271042 37258644 36210444 35705796 35480672 35355832 35283156 35259128 35283156 35355832 35480672 35705796 36210444 37258644 38271042 37621422 37077391 32018316
35608322 40784322 36733496 37327780 39433802 40422614 40680096 40747350 40804418 40846114 40860564 40846114 40804418 40747350 40680096 40422614 39433802 37327780 36733496 40784322 35608322
32018316 37077391 37621422 38271042 37258644 36210444 35705796 35480672 35355832 35283156 35259128 35283156 35355832 35480672 35705796 36210444 37258644 38271042 37621422 37077391 32018316
Grand total = 4*32018316 + 2*35259128 + 4*35283156 + 4*35355832 + 4*35480672 + 2*35608322 + 4*35705796 + 4*36210444 + 2*36733496 + 4*37077391 + 4*37258644 + 2*37327780 + 4*37621422 + 4*38271042 + 2*39433802 + 2*40422614 +
2*40680096 + 2*40747350 + 2*40784322 + 2*40804418 + 2*40846114 + 1*40860564
= 2339286308
Number of CNSAPs for each starting node (SN) and ending node (EN) pair
SN 0 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
EN
0 0 0 38 74 110 148 278 602 1284 2582 4994 9534 18218 34816 66042 123486 226568 406098 705662 1171538 1804678 0 2 2 4 10 22
46 96 202 426 898 1892 3986 8398 17694 37280 78546 165490 348674 734628 1547802 20 2 4 23 74 172 360 688 1276 2438 4800 9476
18422 35184 66268 123308 226048 405610 705532 1171744 1805090
1 0 0 0 19 3 19 34 105 227 421 748 1395 2719 5319 10178 18985 34663 61969 107660 178835 275563 19 0 1 1 1 3
7 15 31 65 137 289 609 1283 2703 5695 11999 25281 53265 112225 236449 0 0 0 0 17 49 66 85 157 347 752 1511
2877 5373 10034 18717 34481 62031 107920 179135 275881
2 36 0 0 0 36 6 36 64 196 422 780 1380 2556 4934 9540 18008 33036 59014 102316 169772 261524 18 18 0 2 2 2
6 14 30 62 130 274 578 1218 2566 5406 11390 23998 50562 106530 224450 0 0 0 0 0 32 92 124 160 294 644 1384
2760 5214 9644 17780 32600 58694 102324 170032 261936
3 51 51 0 0 0 51 9 51 90 273 585 1077 1896 3483 6645 12663 23490 42153 73053 121041 186336 17 17 17 0 3 3
3 9 21 45 93 195 411 867 1827 3849 8109 17085 35997 75843 159795 17 0 0 0 0 0 45 129 174 225 411 891
1896 3747 7011 12813 23238 41649 72639 120879 186336
4 64 48 64 0 0 0 64 12 64 112 336 716 1312 2296 4176 7852 14688 26624 46336 76780 118144 48 16 16 16 0 4
4 4 12 28 60 124 260 548 1156 2436 5132 10812 22780 47996 101124 64 32 0 0 0 0 0 56 160 216 280 508
1088 2288 4472 8268 14880 26408 45864 76316 117696
5 90 75 45 75 0 0 0 75 15 75 130 385 815 1485 2580 4635 8555 15615 27410 45585 70195 105 45 15 15 15 0
5 5 5 15 35 75 155 325 685 1445 3045 6415 13515 28475 59995 150 105 45 0 0 0 0 0 65 185 250 325
585 1235 2560 4935 8985 15845 27290 45245 69725
6 196 112 84 42 84 0 0 0 84 18 84 144 420 882 1596 2748 4860 8754 15444 25848 39900 210 98 42 14 14 14
0 6 6 6 18 42 90 186 390 822 1734 3654 7698 16218 34170 280 196 140 56 0 0 0 0 0 72 204 276
360 642 1332 2712 5136 9162 15708 25884 39792
7 455 273 130 91 39 91 0 0 0 91 21 91 154 441 917 1645 2800 4851 8449 14175 21938 403 195 91 39 13 13
13 0 7 7 7 21 49 105 217 455 959 2023 4263 8981 18921 481 325 234 169 65 0 0 0 0 0 77 217
294 385 679 1379 2744 5075 8799 14469 22190
8 960 612 336 144 96 36 96 0 0 0 96 24 96 160 448 920 1632 2736 4608 7640 11808 780 372 180 84 36 12
12 12 0 8 8 8 24 56 120 248 520 1096 2312 4872 10264 864 564 360 264 192 72 0 0 0 0 0 80
224 304 400 696 1376 2656 4752 7896 12128
9 1848 1221 737 385 154 99 33 99 0 0 0 99 27 99 162 441 891 1557 2556 4131 6327 1507 715 341 165 77 33
11 11 11 0 9 9 9 27 63 135 279 585 1233 2601 5481 1672 1067 627 385 286 209 77 0 0 0 0 0
81 225 306 405 693 1323 2448 4167 6453
10 3420 2260 1420 830 420 160 100 30 100 0 0 0 100 30 100 160 420 830 1420 2260 3420 2890 1370 650 310 150 70
30 10 10 10 0 10 10 10 30 70 150 310 650 1370 2890 3320 2120 1220 670 400 300 220 80 0 0 0 0
0 80 220 300 400 670 1220 2120 3320
11 6327 4131 2556 1557 891 441 162 99 27 99 0 0 0 99 33 99 154 385 737 1221 1848 5481 2601 1233 585 279 135
63 27 9 9 9 0 11 11 11 33 77 165 341 715 1507 6453 4167 2448 1323 693 405 306 225 81 0 0 0
0 0 77 209 286 385 627 1067 1672
12 11808 7640 4608 2736 1632 920 448 160 96 24 96 0 0 0 96 36 96 144 336 612 960 10264 4872 2312 1096 520 248
120 56 24 8 8 8 0 12 12 12 36 84 180 372 780 12128 7896 4752 2656 1376 696 400 304 224 80 0 0
0 0 0 72 192 264 360 564 864
13 21938 14175 8449 4851 2800 1645 917 441 154 91 21 91 0 0 0 91 39 91 130 273 455 18921 8981 4263 2023 959 455
217 105 49 21 7 7 7 0 13 13 13 39 91 195 403 22190 14469 8799 5075 2744 1379 679 385 294 217 77 0
0 0 0 0 65 169 234 325 481
14 39900 25848 15444 8754 4860 2748 1596 882 420 144 84 18 84 0 0 0 84 42 84 112 196 34170 16218 7698 3654 1734 822
390 186 90 42 18 6 6 6 0 14 14 14 42 98 210 39792 25884 15708 9162 5136 2712 1332 642 360 276 204 72
0 0 0 0 0 56 140 196 280
15 70195 45585 27410 15615 8555 4635 2580 1485 815 385 130 75 15 75 0 0 0 75 45 75 90 59995 28475 13515 6415 3045 1445
685 325 155 75 35 15 5 5 5 0 15 15 15 45 105 69725 45245 27290 15845 8985 4935 2560 1235 585 325 250 185
65 0 0 0 0 0 45 105 150
16 118144 76780 46336 26624 14688 7852 4176 2296 1312 716 336 112 64 12 64 0 0 0 64 48 64 101124 47996 22780 10812 5132 2436
1156 548 260 124 60 28 12 4 4 4 0 16 16 16 48 117696 76316 45864 26408 14880 8268 4472 2288 1088 508 280 216
160 56 0 0 0 0 0 32 64
17 186336 121041 73053 42153 23490 12663 6645 3483 1896 1077 585 273 90 51 9 51 0 0 0 51 51 159795 75843 35997 17085 8109 3849
1827 867 411 195 93 45 21 9 3 3 3 0 17 17 17 186336 120879 72639 41649 23238 12813 7011 3747 1896 891 411 225
174 129 45 0 0 0 0 0 17
18 261524 169772 102316 59014 33036 18008 9540 4934 2556 1380 780 422 196 64 36 6 36 0 0 0 36 224450 106530 50562 23998 11390 5406
2566 1218 578 274 130 62 30 14 6 2 2 2 0 18 18 261936 170032 102324 58694 32600 17780 9644 5214 2760 1384 644 294
160 124 92 32 0 0 0 0 0
19 275563 178835 107660 61969 34663 18985 10178 5319 2719 1395 748 421 227 105 34 19 3 19 0 0 0 236449 112225 53265 25281 11999 5695
2703 1283 609 289 137 65 31 15 7 3 1 1 1 0 19 275881 179135 107920 62031 34481 18717 10034 5373 2877 1511 752 347
157 85 66 49 17 0 0 0 0
20 1804678 1171538 705662 406098 226568 123486 66042 34816 18218 9534 4994 2582 1284 602 278 148 110 74 38 0 0 1547802 734628 348674 165490 78546 37280
17694 8398 3986 1892 898 426 202 96 46 22 10 4 2 2 0 1805090 1171744 705532 405610 226048 123308 66268 35184 18422 9476 4800 2438
1276 688 360 172 74 23 4 2 20
21 0 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
26 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
27 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
28 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
29 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
30 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
31 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
32 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
33 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
34 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
35 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
36 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
37 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
38 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
39 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
40 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
41 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 19 0
42 20 2 4 23 74 172 360 688 1276 2438 4800 9476 18422 35184 66268 123308 226048 405610 705532 1171744 1805090 0 2 2 4 10 22
46 96 202 426 898 1892 3986 8398 17694 37280 78546 165490 348674 734628 1547802 0 0 38 74 110 148 278 602 1284 2582 4994 9534
18218 34816 66042 123486 226568 406098 705662 1171538 1804678
43 0 0 0 0 17 49 66 85 157 347 752 1511 2877 5373 10034 18717 34481 62031 107920 179135 275881 19 0 1 1 1 3
7 15 31 65 137 289 609 1283 2703 5695 11999 25281 53265 112225 236449 0 0 0 19 3 19 34 105 227 421 748 1395
2719 5319 10178 18985 34663 61969 107660 178835 275563
44 0 0 0 0 0 32 92 124 160 294 644 1384 2760 5214 9644 17780 32600 58694 102324 170032 261936 18 18 0 2 2 2
6 14 30 62 130 274 578 1218 2566 5406 11390 23998 50562 106530 224450 36 0 0 0 36 6 36 64 196 422 780 1380
2556 4934 9540 18008 33036 59014 102316 169772 261524
45 17 0 0 0 0 0 45 129 174 225 411 891 1896 3747 7011 12813 23238 41649 72639 120879 186336 17 17 17 0 3 3
3 9 21 45 93 195 411 867 1827 3849 8109 17085 35997 75843 159795 51 51 0 0 0 51 9 51 90 273 585 1077
1896 3483 6645 12663 23490 42153 73053 121041 186336
46 64 32 0 0 0 0 0 56 160 216 280 508 1088 2288 4472 8268 14880 26408 45864 76316 117696 48 16 16 16 0 4
4 4 12 28 60 124 260 548 1156 2436 5132 10812 22780 47996 101124 64 48 64 0 0 0 64 12 64 112 336 716
1312 2296 4176 7852 14688 26624 46336 76780 118144
47 150 105 45 0 0 0 0 0 65 185 250 325 585 1235 2560 4935 8985 15845 27290 45245 69725 105 45 15 15 15 0
5 5 5 15 35 75 155 325 685 1445 3045 6415 13515 28475 59995 90 75 45 75 0 0 0 75 15 75 130 385
815 1485 2580 4635 8555 15615 27410 45585 70195
48 280 196 140 56 0 0 0 0 0 72 204 276 360 642 1332 2712 5136 9162 15708 25884 39792 210 98 42 14 14 14
0 6 6 6 18 42 90 186 390 822 1734 3654 7698 16218 34170 196 112 84 42 84 0 0 0 84 18 84 144
420 882 1596 2748 4860 8754 15444 25848 39900
49 481 325 234 169 65 0 0 0 0 0 77 217 294 385 679 1379 2744 5075 8799 14469 22190 403 195 91 39 13 13
13 0 7 7 7 21 49 105 217 455 959 2023 4263 8981 18921 455 273 130 91 39 91 0 0 0 91 21 91
154 441 917 1645 2800 4851 8449 14175 21938
50 864 564 360 264 192 72 0 0 0 0 0 80 224 304 400 696 1376 2656 4752 7896 12128 780 372 180 84 36 12
12 12 0 8 8 8 24 56 120 248 520 1096 2312 4872 10264 960 612 336 144 96 36 96 0 0 0 96 24
96 160 448 920 1632 2736 4608 7640 11808
51 1672 1067 627 385 286 209 77 0 0 0 0 0 81 225 306 405 693 1323 2448 4167 6453 1507 715 341 165 77 33
11 11 11 0 9 9 9 27 63 135 279 585 1233 2601 5481 1848 1221 737 385 154 99 33 99 0 0 0 99
27 99 162 441 891 1557 2556 4131 6327
52 3320 2120 1220 670 400 300 220 80 0 0 0 0 0 80 220 300 400 670 1220 2120 3320 2890 1370 650 310 150 70
30 10 10 10 0 10 10 10 30 70 150 310 650 1370 2890 3420 2260 1420 830 420 160 100 30 100 0 0 0
100 30 100 160 420 830 1420 2260 3420
53 6453 4167 2448 1323 693 405 306 225 81 0 0 0 0 0 77 209 286 385 627 1067 1672 5481 2601 1233 585 279 135
63 27 9 9 9 0 11 11 11 33 77 165 341 715 1507 6327 4131 2556 1557 891 441 162 99 27 99 0 0
0 99 33 99 154 385 737 1221 1848
54 12128 7896 4752 2656 1376 696 400 304 224 80 0 0 0 0 0 72 192 264 360 564 864 10264 4872 2312 1096 520 248
120 56 24 8 8 8 0 12 12 12 36 84 180 372 780 11808 7640 4608 2736 1632 920 448 160 96 24 96 0
0 0 96 36 96 144 336 612 960
55 22190 14469 8799 5075 2744 1379 679 385 294 217 77 0 0 0 0 0 65 169 234 325 481 18921 8981 4263 2023 959 455
217 105 49 21 7 7 7 0 13 13 13 39 91 195 403 21938 14175 8449 4851 2800 1645 917 441 154 91 21 91
0 0 0 91 39 91 130 273 455
56 39792 25884 15708 9162 5136 2712 1332 642 360 276 204 72 0 0 0 0 0 56 140 196 280 34170 16218 7698 3654 1734 822
390 186 90 42 18 6 6 6 0 14 14 14 42 98 210 39900 25848 15444 8754 4860 2748 1596 882 420 144 84 18
84 0 0 0 84 42 84 112 196
57 69725 45245 27290 15845 8985 4935 2560 1235 585 325 250 185 65 0 0 0 0 0 45 105 150 59995 28475 13515 6415 3045 1445
685 325 155 75 35 15 5 5 5 0 15 15 15 45 105 70195 45585 27410 15615 8555 4635 2580 1485 815 385 130 75
15 75 0 0 0 75 45 75 90
58 117696 76316 45864 26408 14880 8268 4472 2288 1088 508 280 216 160 56 0 0 0 0 0 32 64 101124 47996 22780 10812 5132 2436
1156 548 260 124 60 28 12 4 4 4 0 16 16 16 48 118144 76780 46336 26624 14688 7852 4176 2296 1312 716 336 112
64 12 64 0 0 0 64 48 64
59 186336 120879 72639 41649 23238 12813 7011 3747 1896 891 411 225 174 129 45 0 0 0 0 0 17 159795 75843 35997 17085 8109 3849
1827 867 411 195 93 45 21 9 3 3 3 0 17 17 17 186336 121041 73053 42153 23490 12663 6645 3483 1896 1077 585 273
90 51 9 51 0 0 0 51 51
60 261936 170032 102324 58694 32600 17780 9644 5214 2760 1384 644 294 160 124 92 32 0 0 0 0 0 224450 106530 50562 23998 11390 5406
2566 1218 578 274 130 62 30 14 6 2 2 2 0 18 18 261524 169772 102316 59014 33036 18008 9540 4934 2556 1380 780 422
196 64 36 6 36 0 0 0 36
61 275881 179135 107920 62031 34481 18717 10034 5373 2877 1511 752 347 157 85 66 49 17 0 0 0 0 236449 112225 53265 25281 11999 5695
2703 1283 609 289 137 65 31 15 7 3 1 1 1 0 19 275563 178835 107660 61969 34663 18985 10178 5319 2719 1395 748 421
227 105 34 19 3 19 0 0 0
62 1805090 1171744 705532 405610 226048 123308 66268 35184 18422 9476 4800 2438 1276 688 360 172 74 23 4 2 20 1547802 734628 348674 165490 78546 37280
17694 8398 3986 1892 898 426 202 96 46 22 10 4 2 2 0 1804678 1171538 705662 406098 226568 123486 66042 34816 18218 9534 4994 2582
1284 602 278 148 110 74 38 0 0
Sum of all rows = 4(3*0 + 3*2 + 2*4 + 1*10 + 1*20 + 1*22 + 1*23 + 1*38 + 1*46 + 2*74 + 1*96 + 1*110 + 1*148 + 1*172 + 1*202 + 1*278 + 1*360 + 1*426 + 1*602 + 1*688 + 1*898 + 1*1276 + 1*1284 + 1*1892 + 1*2438 +
1*2582 + 1*3986 + 1*4800 + 1*4994 + 1*8398 + 1*9476 + 1*9534 + 1*17694 + 1*18218 + 1*18422 + 1*34816 + 1*35184 + 1*37280 + 1*66042 + 1*66268 + 1*78546 + 1*123308 + 1*123486 + 1*165490 +
1*226048 + 1*226568 + 1*348674 + 1*405610 + 1*406098 + 1*705532 + 1*705662 + 1*734628 + 1*1171538 + 1*1171744 + 1*1547802 + 1*1804678 + 1*1805090) +
4(8*0 + 3*1 + 2*3 + 1*7 + 1*15 + 1*17 + 3*19 + 1*31 + 1*34 + 1*49 + 1*65 + 1*66 + 1*85 + 1*105 + 1*137 + 1*157 + 1*227 + 1*289 + 1*347 + 1*421 + 1*609 + 1*748 + 1*752 + 1*1283 + 1*1395 +
1*1511 + 1*2703 + 1*2719 + 1*2877 + 1*5319 + 1*5373 + 1*5695 + 1*10034 + 1*10178 + 1*11999 + 1*18717 + 1*18985 + 1*25281 + 1*34481 + 1*34663 + 1*53265 + 1*61969 + 1*62031 + 1*107660 +
1*107920 + 1*112225 + 1*178835 + 1*179135 + 1*236449 + 1*275563 + 1*275881) +
4(9*0 + 3*2 + 2*6 + 1*14 + 2*18 + 1*30 + 1*32 + 3*36 + 1*62 + 1*64 + 1*92 + 1*124 + 1*130 + 1*160 + 1*196 + 1*274 + 1*294 + 1*422 + 1*578 + 1*644 + 1*780 + 1*1218 + 1*1380 + 1*1384 + 1*2556 +
1*2566 + 1*2760 + 1*4934 + 1*5214 + 1*5406 + 1*9540 + 1*9644 + 1*11390 + 1*17780 + 1*18008 + 1*23998 + 1*32600 + 1*33036 + 1*50562 + 1*58694 + 1*59014 + 1*102316 + 1*102324 + 1*106530 +
1*169772 + 1*170032 + 1*224450 + 1*261524 + 1*261936) +
4(9*0 + 3*3 + 2*9 + 4*17 + 1*21 + 2*45 + 4*51 + 1*90 + 1*93 + 1*129 + 1*174 + 1*195 + 1*225 + 1*273 + 2*411 + 1*585 + 1*867 + 1*891 + 1*1077 + 1*1827 + 2*1896 + 1*3483 + 1*3747 + 1*3849 +
1*6645 + 1*7011 + 1*8109 + 1*12663 + 1*12813 + 1*17085 + 1*23238 + 1*23490 + 1*35997 + 1*41649 + 1*42153 + 1*72639 + 1*73053 + 1*75843 + 1*120879 + 1*121041 + 1*159795 + 1*186336 + 1*186336) +
4(9*0 + 3*4 + 2*12 + 3*16 + 1*28 + 1*32 + 2*48 + 1*56 + 1*60 + 5*64 + 1*112 + 1*124 + 1*160 + 1*216 + 1*260 + 1*280 + 1*336 + 1*508 + 1*548 + 1*716 + 1*1088 + 1*1156 + 1*1312 + 1*2288 + 1*2296 +
1*2436 + 1*4176 + 1*4472 + 1*5132 + 1*7852 + 1*8268 + 1*10812 + 1*14688 + 1*14880 + 1*22780 + 1*26408 + 1*26624 + 1*45864 + 1*46336 + 1*47996 + 1*76316 + 1*76780 + 1*101124 + 1*117696 +
1*118144) +
4(9*0 + 3*5 + 5*15 + 1*35 + 3*45 + 1*65 + 5*75 + 1*90 + 2*105 + 1*130 + 1*150 + 1*155 + 1*185 + 1*250 + 2*325 + 1*385 + 1*585 + 1*685 + 1*815 + 1*1235 + 1*1445 + 1*1485 + 1*2560 + 1*2580 +
1*3045 + 1*4635 + 1*4935 + 1*6415 + 1*8555 + 1*8985 + 1*13515 + 1*15615 + 1*15845 + 1*27290 + 1*27410 + 1*28475 + 1*45245 + 1*45585 + 1*59995 + 1*69725 + 1*70195) +
4(9*0 + 3*6 + 3*14 + 2*18 + 3*42 + 1*56 + 1*72 + 4*84 + 1*90 + 1*98 + 1*112 + 1*140 + 1*144 + 1*186 + 2*196 + 1*204 + 1*210 + 1*276 + 1*280 + 1*360 + 1*390 + 1*420 + 1*642 + 1*822 + 1*882 +
1*1332 + 1*1596 + 1*1734 + 1*2712 + 1*2748 + 1*3654 + 1*4860 + 1*5136 + 1*7698 + 1*8754 + 1*9162 + 1*15444 + 1*15708 + 1*16218 + 1*25848 + 1*25884 + 1*34170 + 1*39792 + 1*39900) +
4(9*0 + 3*7 + 3*13 + 2*21 + 2*39 + 1*49 + 1*65 + 1*77 + 5*91 + 1*105 + 1*130 + 1*154 + 1*169 + 1*195 + 2*217 + 1*234 + 1*273 + 1*294 + 1*325 + 1*385 + 1*403 + 1*441 + 2*455 + 1*481 + 1*679 +
1*917 + 1*959 + 1*1379 + 1*1645 + 1*2023 + 1*2744 + 1*2800 + 1*4263 + 1*4851 + 1*5075 + 1*8449 + 1*8799 + 1*8981 + 1*14175 + 1*14469 + 1*18921 + 1*21938 + 1*22190) +
4(9*0 + 3*8 + 3*12 + 2*24 + 2*36 + 1*56 + 1*72 + 1*80 + 1*84 + 4*96 + 1*120 + 1*144 + 1*160 + 1*180 + 1*192 + 1*224 + 1*248 + 1*264 + 1*304 + 1*336 + 1*360 + 1*372 + 1*400 + 1*448 + 1*520 +
1*564 + 1*612 + 1*696 + 1*780 + 1*864 + 1*920 + 1*960 + 1*1096 + 1*1376 + 1*1632 + 1*2312 + 1*2656 + 1*2736 + 1*4608 + 1*4752 + 1*4872 + 1*7640 + 1*7896 + 1*10264 + 1*11808 + 1*12128) +
4(9*0 + 3*9 + 3*11 + 2*27 + 2*33 + 1*63 + 2*77 + 1*81 + 4*99 + 1*135 + 1*154 + 1*162 + 1*165 + 1*209 + 1*225 + 1*279 + 1*286 + 1*306 + 1*341 + 2*385 + 1*405 + 1*441 + 1*585 + 1*627 + 1*693 +
1*715 + 1*737 + 1*891 + 1*1067 + 1*1221 + 1*1233 + 1*1323 + 1*1507 + 1*1557 + 1*1672 + 1*1848 + 1*2448 + 1*2556 + 1*2601 + 1*4131 + 1*4167 + 1*5481 + 1*6327 + 1*6453) +
2(9*0 + 6*10 + 4*30 + 2*70 + 2*80 + 4*100 + 2*150 + 2*160 + 2*220 + 2*300 + 2*310 + 2*400 + 2*420 + 2*650 + 2*670 + 2*830 + 2*1220 + 2*1370 + 2*1420 + 2*2120 + 2*2260 + 2*2890 + 2*3320 +
2*3420) +
2(61*0 + 2*19)
19(63*0)
= 48397548 + 7393492 + 7018504 + 4997216 + 3163440 + 1879040 + 1074736 + 604064 + 345200 + 218368 + 90280 + 76
= 75181964
Value repetition frequencies = 4(56*1 + 2*2 + 1*3) +
4(47*1 + 1*2 + 2*3 + 1*8) +
4(44*1 + 2*2 + 2*3 + 1*9) +
4(35*1 + 4*2 + 1*3 + 2*4 + 1*9) +
4(39*1 + 2*2 + 2*3 + 1*5 + 1*9) +
4(34*1 + 2*2 + 2*3 + 2*5 + 1*9) +
4(37*1 + 2*2 + 3*3 + 1*4 + 1*9) +
4(35*1 + 4*2 + 2*3 + 1*5 + 1*9) +
4(40*1 + 2*2 + 2*3 + 1*4 + 1*9) +
4(36*1 + 4*2 + 2*3 + 1*4 + 1*9) +
2(20*2 + 2*4 + 1*6 + 1*9) +
2(1*2 + 1*61)
19(1*63)
= 3969
Number of distinct row element sets = 13
Number of rows = 2*2 + 10*4 + 1*19
= 63
Number of distinct values = 414
Distinct values 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Frequency 1669 12 24 20 20 12 20 16 12 20 16 12 20 12 16 24 12 20 16 16
Distinct values 20 21 22 23 24 27 28 30 31 32 33 34 35 36 38 39 42 45 46 48
Frequency 4 12 4 4 8 8 4 12 4 8 8 4 4 20 4 8 12 20 4 8
Distinct values 49 51 56 60 62 63 64 65 66 70 72 74 75 77 80 81 84 85 90 91
Frequency 8 16 12 4 4 4 24 12 4 4 8 8 20 12 8 4 20 4 12 20
Distinct values 92 93 96 98 99 100 105 110 112 120 124 129 130 135 137 140 144 148 150 154
Frequency 4 4 20 4 16 8 16 4 8 4 8 4 12 4 4 4 8 4 8 8
Distinct values 155 157 160 162 165 169 172 174 180 185 186 192 195 196 202 204 209 210 216 217
Frequency 4 4 16 4 4 4 4 4 4 4 4 4 8 12 4 4 4 4 4 8
Distinct values 220 224 225 227 234 248 250 260 264 273 274 276 278 279 280 286 289 294 300 304
Frequency 4 4 8 4 4 4 4 4 4 8 4 4 4 4 8 4 4 8 4 4
Distinct values 306 310 325 336 341 347 360 372 385 390 400 403 405 411 420 421 422 426 441 448
Frequency 4 4 12 8 4 4 12 4 16 4 8 4 4 8 8 4 4 4 8 4
Distinct values 455 481 508 520 548 564 578 585 602 609 612 627 642 644 650 670 679 685 688 693
Frequency 8 4 4 4 4 4 4 12 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 696 715 716 737 748 752 780 815 822 830 864 867 882 891 898 917 920 959 960 1067
Frequency 4 4 4 4 4 4 8 4 4 4 4 4 4 8 4 4 4 4 4 4
Distinct values 1077 1088 1096 1156 1218 1220 1221 1233 1235 1276 1283 1284 1312 1323 1332 1370 1376 1379 1380 1384
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 1395 1420 1445 1485 1507 1511 1557 1596 1632 1645 1672 1734 1827 1848 1892 1896 2023 2120 2260 2288
Frequency 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4 8 4 4 4 4
Distinct values 2296 2312 2436 2438 2448 2556 2560 2566 2580 2582 2601 2656 2703 2712 2719 2736 2744 2748 2760 2800
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 2877 2890 3045 3320 3420 3483 3654 3747 3849 3986 4131 4167 4176 4263 4472 4608 4635 4752 4800 4851
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 4860 4872 4934 4935 4994 5075 5132 5136 5214 5319 5373 5406 5481 5695 6327 6415 6453 6645 7011 7640
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 7698 7852 7896 8109 8268 8398 8449 8555 8754 8799 8981 8985 9162 9476 9534 9540 9644 10034 10178 10264
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 10812 11390 11808 11999 12128 12663 12813 13515 14175 14469 14688 14880 15444 15615 15708 15845 16218 17085 17694 17780
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 18008 18218 18422 18717 18921 18985 21938 22190 22780 23238 23490 23998 25281 25848 25884 26408 26624 27290 27410 28475
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 32600 33036 34170 34481 34663 34816 35184 35997 37280 39792 39900 41649 42153 45245 45585 45864 46336 47996 50562 53265
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 58694 59014 59995 61969 62031 66042 66268 69725 70195 72639 73053 75843 76316 76780 78546 101124 102316 102324 106530 107660
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 107920 112225 117696 118144 120879 121041 123308 123486 159795 165490 169772 170032 178835 179135 186336 224450 226048 226568 236449 261524
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4 4 4
Distinct values 261936 275563 275881 348674 405610 406098 705532 705662 734628 1171538 1171744 1547802 1804678 1805090
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Sum of distinct value frequencies = 337*4 + 33*8 + 18*12 + 10*16 + 12*20 + 3*24 + 1*1669
= 3969
Number of SN-EN pairs for which the number of CNSAPs is greater than zero = 2*2 + 34*54 + 4*55 + 4*60
= 2300
Number of SN-EN pairs, with SN != EN, for which the number of CNSAPs equals zero = 1606
Number of possible SN-EN pairs with SN != EN = 62*63
= 3906
a = 22, b = 3
L C
3 8
4 16
5 32
6 44
7 160
8 192
9 512
10 788
11 1464
12 2172
13 3808
14 6032
15 10428
16 16896
17 28300
18 45852
19 75648
20 123284
21 202640
22 331024
23 541940
24 883952
25 1441616
26 2343660
27 3775556
28 6014276
29 8951072
30 13282608
31 15937008
32 20984980
33 18833676
34 20874108
35 14734732
36 12653184
37 7512832
38 4743360
39 2351528
40 1087212
41 420604
42 139228
43 38084
44 8072
45 1392
46 68
Total 158404048
Number of times each node is the starting node (SN) in a CNSAP of each length (L)
SN 0 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
L
3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0
0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0
0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0
5 1 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 1
0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0
1 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 1
6 0 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 0 0 0
0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0
0 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 0 0 0
7 1 1 1 0 13 0 0 0 0 0 0 0 0 0 0 0 0 13 0 1 1 1
2 2 4 8 4 8 4 4 4 4 4 4 4 4 4 4 8 4 8 4 2 2
1 1 1 0 13 0 0 0 0 0 0 0 0 0 0 0 0 13 0 1 1 1
8 0 0 0 3 0 17 0 0 0 0 0 0 0 0 0 0 17 0 3 0 0 0
2 2 2 4 18 4 8 4 4 4 4 4 4 4 4 8 4 18 4 2 2 2
0 0 0 3 0 17 0 0 0 0 0 0 0 0 0 0 17 0 3 0 0 0
9 3 3 4 4 14 4 25 4 4 4 4 4 4 4 4 25 4 14 4 4 3 3
4 4 4 6 8 40 8 12 8 8 8 8 8 8 12 8 40 8 6 4 4 4
3 3 4 4 14 4 25 4 4 4 4 4 4 4 4 25 4 14 4 4 3 3
10 4 4 4 9 8 36 8 33 8 8 8 8 8 8 33 8 36 8 9 4 4 4
4 4 4 4 8 8 66 8 12 8 8 8 8 12 8 66 8 8 4 4 4 4
4 4 4 9 8 36 8 33 8 8 8 8 8 8 33 8 36 8 9 4 4 4
11 9 10 11 10 22 18 82 18 47 18 18 18 18 47 18 82 18 22 10 11 10 9
6 6 6 6 8 18 12 104 12 16 12 12 16 12 104 12 18 8 6 6 6 6
9 10 11 10 22 18 82 18 47 18 18 18 18 47 18 82 18 22 10 11 10 9
12 12 12 12 17 12 34 24 150 24 57 24 24 57 24 150 24 34 12 17 12 12 12
10 10 10 10 10 16 46 20 154 20 24 24 20 154 20 46 16 10 10 10 10 10
12 12 12 17 12 34 24 150 24 57 24 24 57 24 150 24 34 12 17 12 12 12
13 21 22 24 23 34 28 71 44 266 44 81 81 44 266 44 71 28 34 23 24 22 21
20 20 20 20 20 22 36 122 40 224 44 44 224 40 122 36 22 20 20 20 20 20
21 22 24 23 34 28 71 44 266 44 81 81 44 266 44 71 28 34 23 24 22 21
14 32 33 33 38 34 52 46 141 66 426 107 107 426 66 141 46 52 34 38 33 33 32
36 36 36 36 36 36 44 68 282 76 314 314 76 282 68 44 36 36 36 36 36 36
32 33 33 38 34 52 46 141 66 426 107 107 426 66 141 46 52 34 38 33 33 32
15 57 62 64 64 75 70 111 102 323 171 674 674 171 323 102 111 70 75 64 64 62 57
62 62 62 62 62 62 64 90 124 586 432 432 586 124 90 64 62 62 62 62 62 62
57 62 64 64 75 70 111 102 323 171 674 674 171 323 102 111 70 75 64 64 62 57
16 96 103 104 109 105 124 112 203 229 681 1002 1002 681 229 203 112 124 105 109 104 103 96
102 102 102 102 102 102 102 116 190 582 1110 1110 582 190 116 102 102 102 102 102 102 102
96 103 104 109 105 124 112 203 229 681 1002 1002 681 229 203 112 124 105 109 104 103 96
17 167 180 186 186 198 193 236 265 408 1446 1407 1407 1446 408 265 236 193 198 186 186 180 167
168 168 168 168 168 168 172 170 668 430 1958 1958 430 668 170 172 168 168 168 168 168 168
167 180 186 186 198 193 236 265 408 1446 1407 1407 1446 408 265 236 193 198 186 186 180 167
18 280 297 304 310 306 325 371 402 1846 772 2657 2657 772 1846 402 371 325 306 310 304 297 280
280 280 280 280 280 284 280 834 292 3102 994 994 3102 292 834 280 284 280 280 280 280 280
280 297 304 310 306 325 371 402 1846 772 2657 2657 772 1846 402 371 325 306 310 304 297 280
19 473 502 516 520 532 589 571 2510 737 4551 1514 1514 4551 737 2510 571 589 532 520 516 502 473
474 474 474 474 478 474 1126 474 4786 522 2038 2038 522 4786 474 1126 474 478 474 474 474 474
473 502 516 520 532 589 571 2510 737 4551 1514 1514 4551 737 2510 571 589 532 520 516 502 473
20 792 839 856 868 930 884 3391 962 7785 1263 2562 2562 1263 7785 962 3391 884 930 868 856 839 792
806 806 806 810 806 1564 806 7328 802 4150 694 694 4150 802 7328 806 1564 806 810 806 806 806
792 839 856 868 930 884 3391 962 7785 1263 2562 2562 1263 7785 962 3391 884 930 868 856 839 792
21 1337 1422 1452 1533 1480 4650 1520 12998 1642 5124 1608 1608 5124 1642 12998 1520 4650 1480 1533 1452 1422 1337
1368 1368 1372 1368 2240 1368 10874 1364 8790 998 678 678 998 8790 1364 10874 1368 2240 1368 1372 1368 1368
1337 1422 1452 1533 1480 4650 1520 12998 1642 5124 1608 1608 5124 1642 12998 1520 4650 1480 1533 1452 1422 1337
22 2256 2401 2521 2470 6409 2493 20893 2519 10748 1800 2244 2244 1800 10748 2519 20893 2493 6409 2470 2521 2401 2256
2312 2316 2312 3306 2312 15738 2308 17454 1860 1846 240 240 1846 1860 17454 2308 15738 2312 3306 2312 2316 2312
2256 2401 2521 2470 6409 2493 20893 2519 10748 1800 2244 2244 1800 10748 2519 20893 2493 6409 2470 2521 2401 2256
23 3817 4143 4152 8992 4204 32593 4192 22076 2923 4474 1463 1463 4474 2923 22076 4192 32593 4204 8992 4152 4143 3817
3902 3898 5022 3898 22360 3894 32696 3358 5140 658 86 86 658 5140 3358 32696 3894 22360 3898 5022 3898 3902
3817 4143 4152 8992 4204 32593 4192 22076 2923 4474 1463 1463 4474 2923 22076 4192 32593 4204 8992 4152 4143 3817
24 6529 6863 12818 7060 49450 7039 43515 5226 9467 1560 2223 2223 1560 9467 5226 43515 7039 49450 7060 12818 6863 6529
6570 7832 6570 31380 6566 58268 5934 13288 1698 352 18 18 352 1698 13288 5934 58268 6566 31380 6570 7832 6570
6529 6863 12818 7060 49450 7039 43515 5226 9467 1560 2223 2223 1560 9467 5226 43515 7039 49450 7060 12818 6863 6529
25 10891 18526 11838 73421 11898 82374 9522 20570 2738 4333 1468 1468 4333 2738 20570 9522 82374 11898 73421 11838 18526 10891
12492 11084 43766 11080 99498 10344 32026 3972 1286 100 2 2 100 1286 3972 32026 10344 99498 11080 43766 11084 12492
10891 18526 11838 73421 11898 82374 9522 20570 2738 4333 1468 1468 4333 2738 20570 9522 82374 11898 73421 11838 18526 10891
26 26584 19549 107039 20046 149823 17057 44631 5647 8932 1485 2238 2238 1485 8932 5647 44631 17057 149823 20046 107039 19549 26584
18716 61022 18712 163794 17864 72354 8612 4254 420 20 0 0 20 420 4254 8612 72354 17864 163794 18712 61022 18716
26584 19549 107039 20046 149823 17057 44631 5647 8932 1485 2238 2238 1485 8932 5647 44631 17057 149823 20046 107039 19549 26584
27 31025 153639 33628 262764 30164 95768 12000 18908 2428 4363 1475 1475 4363 2428 18908 12000 95768 30164 262764 33628 153639 31025
85540 31610 261324 30642 154168 17606 12976 1462 124 2 0 0 2 124 1462 12976 17606 154168 30642 261324 31610 85540
31025 153639 33628 262764 30164 95768 12000 18908 2428 4363 1475 1475 4363 2428 18908 12000 95768 30164 262764 33628 153639 31025
28 216240 55639 445638 52568 201055 24823 40299 4797 8952 1504 2239 2239 1504 8952 4797 40299 24823 201055 52568 445638 55639 216240
53390 405972 52294 311704 34394 36832 4426 596 22 0 0 0 0 22 596 4426 36832 34394 311704 52294 405972 53390
216240 55639 445638 52568 201055 24823 40299 4797 8952 1504 2239 2239 1504 8952 4797 40299 24823 201055 52568 445638 55639 216240
29 88349 732593 90352 410532 49776 86592 10268 18776 2464 4370 1475 1475 4370 2464 18776 10268 86592 49776 410532 90352 732593 88349
616746 88920 601434 64884 97854 12020 2438 144 2 0 0 0 0 2 144 2438 12020 97854 64884 601434 88920 616746
88349 732593 90352 410532 49776 86592 10268 18776 2464 4370 1475 1475 4370 2464 18776 10268 86592 49776 410532 90352 732593 88349
30 1160224 152049 812165 96494 186775 22365 39443 4775 8979 1505 2239 2239 1505 8979 4775 39443 22365 186775 96494 812165 152049 1160224
150824 1113226 119172 244518 29924 8886 704 24 0 0 0 0 0 0 24 704 8886 29924 244518 119172 1113226 150824
1160224 152049 812165 96494 186775 22365 39443 4775 8979 1505 2239 2239 1505 8979 4775 39443 22365 186775 96494 812165 152049 1160224
31 244057 1547920 180988 402551 48724 83156 9864 18849 2468 4369 1474 1474 4369 2468 18849 9864 83156 48724 402551 180988 1547920 244057
1985840 214446 577376 69406 29596 2826 172 2 0 0 0 0 0 0 2 172 2826 29596 69406 577376 214446 1985840
244057 1547920 180988 402551 48724 83156 9864 18849 2468 4369 1474 1474 4369 2468 18849 9864 83156 48724 402551 180988 1547920 244057
32 2742360 326071 856162 104332 175574 20559 39572 4793 8973 1504 2239 2239 1504 8973 4793 39572 20559 175574 104332 856162 326071 2742360
379878 1294292 151894 91392 9794 936 26 0 0 0 0 0 0 0 0 26 936 9794 91392 151894 1294292 379878
2742360 326071 856162 104332 175574 20559 39572 4793 8973 1504 2239 2239 1504 8973 4793 39572 20559 175574 104332 856162 326071 2742360
33 548463 1721552 216330 367790 43054 83021 9886 18830 2455 4364 1472 1472 4364 2455 18830 9886 83021 43054 367790 216330 1721552 548463
2766810 316872 264018 30244 4262 196 2 0 0 0 0 0 0 0 0 2 196 4262 30244 264018 316872 2766810
548463 1721552 216330 367790 43054 83021 9886 18830 2455 4364 1472 1472 4364 2455 18830 9886 83021 43054 367790 216330 1721552 548463
34 3006100 424049 722802 89442 170629 20325 39420 4747 8956 1497 2238 2238 1497 8956 4747 39420 20325 170629 89442 722802 424049 3006100
635416 717994 85044 17070 1092 28 0 0 0 0 0 0 0 0 0 0 28 1092 17070 85044 717994 635416
3006100 424049 722802 89442 170629 20325 39420 4747 8956 1497 2238 2238 1497 8956 4747 39420 20325 170629 89442 722802 424049 3006100
35 745817 1215456 179632 317378 40996 80033 9648 18696 2426 4350 1466 1466 4350 2426 18696 9648 80033 40996 317378 179632 1215456 745817
1847200 221270 61912 4958 228 2 0 0 0 0 0 0 0 0 0 0 2 228 4958 61912 221270 1847200
745817 1215456 179632 317378 40996 80033 9648 18696 2426 4350 1466 1466 4350 2426 18696 9648 80033 40996 317378 179632 1215456 745817
36 1679668 329019 478230 77932 141426 19211 37091 4602 8864 1480 2230 2230 1480 8864 4602 37091 19211 141426 77932 478230 329019 1679668
539314 207032 19322 1388 30 0 0 0 0 0 0 0 0 0 0 0 0 30 1388 19322 207032 539314
1679668 329019 478230 77932 141426 19211 37091 4602 8864 1480 2230 2230 1480 8864 4602 37091 19211 141426 77932 478230 329019 1679668
37 509073 555114 129076 194232 35616 61202 8951 16996 2340 4279 1448 1448 4279 2340 16996 8951 61202 35616 194232 129076 555114 509073
645766 66756 6982 256 2 0 0 0 0 0 0 0 0 0 0 0 0 2 256 6982 66756 645766
509073 555114 129076 194232 35616 61202 8951 16996 2340 4279 1448 1448 4279 2340 16996 8951 61202 35616 194232 129076 555114 509073
38 510776 167089 199758 55142 75513 15925 25578 4187 7650 1432 2169 2169 1432 7650 4187 25578 15925 75513 55142 199758 167089 510776
209028 30582 1600 32 0 0 0 0 0 0 0 0 0 0 0 0 0 0 32 1600 30582 209028
510776 167089 199758 55142 75513 15925 25578 4187 7650 1432 2169 2169 1432 7650 4187 25578 15925 75513 55142 199758 167089 510776
39 163489 153484 62828 69023 22588 27915 7026 10264 2090 3428 1373 1373 3428 2090 10264 7026 27915 22588 69023 62828 153484 163489
120356 8098 292 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 292 8098 120356
163489 153484 62828 69023 22588 27915 7026 10264 2090 3428 1373 1373 3428 2090 10264 7026 27915 22588 69023 62828 153484 163489
40 84096 48871 47219 22372 22347 8820 9747 3066 3922 1251 1586 1586 1251 3922 3066 9747 8820 22347 22372 47219 48871 84096
35010 1968 34 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 34 1968 35010
84096 48871 47219 22372 22347 8820 9747 3066 3922 1251 1586 1586 1251 3922 3066 9747 8820 22347 22372 47219 48871 84096
41 23443 23632 14830 13234 7343 6772 3276 3220 1407 1480 924 924 1480 1407 3220 3276 6772 7343 13234 14830 23632 23443
10854 324 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 324 10854
23443 23632 14830 13234 7343 6772 3276 3220 1407 1480 924 924 1480 1407 3220 3276 6772 7343 13234 14830 23632 23443
42 6736 6453 5652 3926 3378 2189 1894 1157 1010 658 614 614 658 1010 1157 1894 2189 3378 3926 5652 6453 6736
2244 36 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 36 2244
6736 6453 5652 3926 3378 2189 1894 1157 1010 658 614 614 658 1010 1157 1894 2189 3378 3926 5652 6453 6736
43 1321 1667 1352 1167 914 776 597 500 392 344 308 308 344 392 500 597 776 914 1167 1352 1667 1321
364 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 364
1321 1667 1352 1167 914 776 597 500 392 344 308 308 344 392 500 597 776 914 1167 1352 1667 1321
44 201 287 258 229 199 175 154 138 126 118 114 114 118 126 138 154 175 199 229 258 287 201
38 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 38
201 287 258 229 199 175 154 138 126 118 114 114 118 126 138 154 175 199 229 258 287 201
45 21 36 35 32 31 32 32 32 32 32 32 32 32 32 32 32 32 31 32 35 36 21
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
21 36 35 32 31 32 32 32 32 32 32 32 32 32 32 32 32 31 32 35 36 21
46 0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 0
Total 11814821 7669595 4618880 2656833 1481651 808241 434069 231205 124129 70547 48419 48419 70547 124129 231205 434069 808241 1481651 2656833 4618880 7669595 11814821
10131956 4808900 2282436 1083316 514196 244104 115968 55272 26720 13708 8668 8668 13708 26720 55272 115968 244104 514196 1083316 2282436 4808900 10131956
11814821 7669595 4618880 2656833 1481651 808241 434069 231205 124129 70547 48419 48419 70547 124129 231205 434069 808241 1481651 2656833 4618880 7669595 11814821
Grand total = 2*8668 + 2*13708 + 2*26720 + 4*48419 + 2*55272 + 4*70547 + 2*115968 + 4*124129 + 4*231205 + 2*244104 + 4*434069 + 2*514196 + 4*808241 + 2*1083316 + 4*1481651 + 2*2282436 + 4*2656833 + 4*4618880 + 2*4808900 +
4*7669595 + 2*10131956 + 4*11814821
= 158404048
Number of times each node is the ending node (EN) in a CNSAP of each length (L)
EN 0 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
L
3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
5 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8
6 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11
7 19 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 19
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
19 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 19
8 29 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 29
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
29 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 29
9 52 4 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 4 52
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
52 4 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 4 52
10 90 5 7 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 7 5 90
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
90 5 7 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 7 5 90
11 158 9 14 17 23 24 24 24 24 24 24 24 24 24 24 24 24 23 17 14 9 158
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
158 9 14 17 23 24 24 24 24 24 24 24 24 24 24 24 24 23 17 14 9 158
12 265 11 17 22 25 33 34 34 34 34 34 34 34 34 34 34 33 25 22 17 11 265
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
265 11 17 22 25 33 34 34 34 34 34 34 34 34 34 34 33 25 22 17 11 265
13 445 21 31 36 46 53 63 64 64 64 64 64 64 64 64 63 53 46 36 31 21 445
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
445 21 31 36 46 53 63 64 64 64 64 64 64 64 64 63 53 46 36 31 21 445
14 741 34 46 55 60 76 89 101 102 102 102 102 102 102 101 89 76 60 55 46 34 741
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
741 34 46 55 60 76 89 101 102 102 102 102 102 102 101 89 76 60 55 46 34 741
15 1248 63 85 95 107 120 152 173 187 188 188 188 188 187 173 152 120 107 95 85 63 1248
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
1248 63 85 95 107 120 152 173 187 188 188 188 188 187 173 152 120 107 95 85 63 1248
16 2107 104 139 154 163 181 202 262 293 309 310 310 309 293 262 202 181 163 154 139 104 2107
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2107 104 139 154 163 181 202 262 293 309 310 310 309 293 262 202 181 163 154 139 104 2107
17 3571 177 241 263 280 295 335 374 478 521 539 539 521 478 374 335 295 280 263 241 177 3571
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
3571 177 241 263 280 295 335 374 478 521 539 539 521 478 374 335 295 280 263 241 177 3571
18 6039 290 395 433 448 470 493 571 644 812 868 868 812 644 571 493 470 448 433 395 290 6039
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6039 290 395 433 448 470 493 571 644 812 868 868 812 644 571 493 470 448 433 395 290 6039
19 10202 489 667 731 760 780 822 871 1029 1163 1397 1397 1163 1029 871 822 780 760 731 667 489 10202
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
10202 489 667 731 760 780 822 871 1029 1163 1397 1397 1163 1029 871 822 780 760 731 667 489 10202
20 17211 822 1113 1221 1259 1287 1314 1394 1490 1780 1930 1930 1780 1490 1394 1314 1287 1259 1221 1113 822 17211
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
17211 822 1113 1221 1259 1287 1314 1394 1490 1780 1930 1930 1780 1490 1394 1314 1287 1259 1221 1113 822 17211
21 29041 1397 1887 2065 2136 2168 2215 2265 2409 2495 2581 2581 2495 2409 2265 2215 2168 2136 2065 1887 1397 29041
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
29041 1397 1887 2065 2136 2168 2215 2265 2409 2495 2581 2581 2495 2409 2265 2215 2168 2136 2065 1887 1397 29041
22 49015 2362 3185 3479 3587 3638 3670 3726 3692 3340 3062 3062 3340 3692 3726 3670 3638 3587 3479 3185 2362 49015
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
49015 2362 3185 3479 3587 3638 3670 3726 3692 3340 3062 3062 3340 3692 3726 3670 3638 3587 3479 3185 2362 49015
23 82764 3995 5393 5883 6068 6141 6170 6069 5313 4481 3207 3207 4481 5313 6069 6170 6141 6068 5883 5393 3995 82764
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
82764 3995 5393 5883 6068 6141 6170 6069 5313 4481 3207 3207 4481 5313 6069 6170 6141 6068 5883 5393 3995 82764
24 139759 6736 9099 9925 10218 10307 10180 9074 7612 4540 3538 3538 4540 7612 9074 10180 10307 10218 9925 9099 6736 139759
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
139759 6736 9099 9925 10218 10307 10180 9074 7612 4540 3538 3538 4540 7612 9074 10180 10307 10218 9925 9099 6736 139759
25 235916 11365 15361 16758 17221 17198 15787 13584 8139 5683 3391 3391 5683 8139 13584 15787 17198 17221 16758 15361 11365 235916
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
235916 11365 15361 16758 17221 17198 15787 13584 8139 5683 3391 3391 5683 8139 13584 15787 17198 17221 16758 15361 11365 235916
26 397597 19174 25910 28240 28825 27252 24177 15396 10698 5040 3606 3606 5040 10698 15396 24177 27252 28825 28240 25910 19174 397597
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
397597 19174 25910 28240 28825 27252 24177 15396 10698 5040 3606 3606 5040 10698 15396 24177 27252 28825 28240 25910 19174 397597
27 662169 32376 43704 47427 46528 42629 29230 20941 9526 5951 3407 3407 5951 9526 20941 29230 42629 46528 47427 43704 32376 662169
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
662169 32376 43704 47427 46528 42629 29230 20941 9526 5951 3407 3407 5951 9526 20941 29230 42629 46528 47427 43704 32376 662169
28 1089582 54633 73501 77453 73906 54511 40598 19037 11626 5116 3606 3606 5116 11626 19037 40598 54511 73906 77453 73501 54633 1089582
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1089582 54633 73501 77453 73906 54511 40598 19037 11626 5116 3606 3606 5116 11626 19037 40598 54511 73906 77453 73501 54633 1089582
29 1642332 91948 120989 124560 99269 77312 38327 23830 9835 5962 3403 3403 5962 9835 23830 38327 77312 99269 124560 120989 91948 1642332
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
1642332 91948 120989 124560 99269 77312 38327 23830 9835 5962 3403 3403 5962 9835 23830 38327 77312 99269 124560 120989 91948 1642332
30 2490507 151561 196095 173842 143311 76090 48787 20058 11695 5106 3600 3600 5106 11695 20058 48787 76090 143311 173842 196095 151561 2490507
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2490507 151561 196095 173842 143311 76090 48787 20058 11695 5106 3600 3600 5106 11695 20058 48787 76090 143311 173842 196095 151561 2490507
31 2873539 245594 280199 254692 147140 98505 41326 24129 9794 5941 3392 3392 5941 9794 24129 41326 98505 147140 254692 280199 245594 2873539
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
2873539 245594 280199 254692 147140 98505 41326 24129 9794 5941 3392 3392 5941 9794 24129 41326 98505 147140 254692 280199 245594 2873539
32 3848225 348591 412923 269914 192889 83751 49816 19889 11592 5071 3584 3584 5071 11592 19889 49816 83751 192889 269914 412923 348591 3848225
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3848225 348591 412923 269914 192889 83751 49816 19889 11592 5071 3584 3584 5071 11592 19889 49816 83751 192889 269914 412923 348591 3848225
33 3060882 507552 437747 355214 163040 100963 40499 23664 9617 5876 3364 3364 5876 9617 23664 40499 100963 163040 355214 437747 507552 3060882
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
3060882 507552 437747 355214 163040 100963 40499 23664 9617 5876 3364 3364 5876 9617 23664 40499 100963 163040 355214 437747 507552 3060882
34 3493315 507857 568307 288848 194459 79269 47602 19068 11301 4962 3539 3539 4962 11301 19068 47602 79269 194459 288848 568307 507857 3493315
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3493315 507857 568307 288848 194459 79269 47602 19068 11301 4962 3539 3539 4962 11301 19068 47602 79269 194459 288848 568307 507857 3493315
35 1981581 638384 421129 334112 140936 90611 36561 22268 9126 5692 3282 3282 5692 9126 22268 36561 90611 140936 334112 421129 638384 1981581
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
1981581 638384 421129 334112 140936 90611 36561 22268 9126 5692 3282 3282 5692 9126 22268 36561 90611 140936 334112 421129 638384 1981581
36 1784147 416957 461525 210030 151895 62389 41082 16734 10475 4661 3401 3401 4661 10475 16734 41082 62389 151895 210030 461525 416957 1784147
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1784147 416957 461525 210030 151895 62389 41082 16734 10475 4661 3401 3401 4661 10475 16734 41082 62389 151895 210030 461525 416957 1784147
37 788184 423900 246573 205456 87704 65031 26923 18458 7749 5185 3044 3044 5185 7749 18458 26923 65031 87704 205456 246573 423900 788184
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
788184 423900 246573 205456 87704 65031 26923 18458 7749 5185 3044 3044 5185 7749 18458 26923 65031 87704 205456 246573 423900 788184
38 509809 199505 209029 98802 80327 34841 27050 11376 8263 3830 3008 3008 3830 8263 11376 27050 34841 80327 98802 209029 199505 509809
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
509809 199505 209029 98802 80327 34841 27050 11376 8263 3830 3008 3008 3830 8263 11376 27050 34841 80327 98802 209029 199505 509809
39 182775 142950 86963 74032 35868 29859 13415 10927 4824 3864 2404 2404 3864 4824 10927 13415 29859 35868 74032 86963 142950 182775
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
182775 142950 86963 74032 35868 29859 13415 10927 4824 3864 2404 2404 3864 4824 10927 13415 29859 35868 74032 86963 142950 182775
40 79283 53183 50267 28518 24015 12439 10520 5032 4308 2206 2032 2032 2206 4308 5032 10520 12439 24015 28518 50267 53183 79283
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
79283 53183 50267 28518 24015 12439 10520 5032 4308 2206 2032 2032 2206 4308 5032 10520 12439 24015 28518 50267 53183 79283
41 22282 23668 16675 14038 8638 7267 4134 3530 1934 1734 1250 1250 1734 1934 3530 4134 7267 8638 14038 16675 23668 22282
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
22282 23668 16675 14038 8638 7267 4134 3530 1934 1734 1250 1250 1734 1934 3530 4134 7267 8638 14038 16675 23668 22282
42 6125 6629 5871 4212 3547 2411 2030 1324 1130 794 734 734 794 1130 1324 2030 2411 3547 4212 5871 6629 6125
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6125 6629 5871 4212 3547 2411 2030 1324 1130 794 734 734 794 1130 1324 2030 2411 3547 4212 5871 6629 6125
43 1201 1680 1389 1198 944 808 628 532 424 376 340 340 376 424 532 628 808 944 1198 1389 1680 1201
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
1201 1680 1389 1198 944 808 628 532 424 376 340 340 376 424 532 628 808 944 1198 1389 1680 1201
44 185 289 261 230 203 180 158 142 130 122 118 118 122 130 142 158 180 203 230 261 289 185
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
185 289 261 230 203 180 158 142 130 122 118 118 122 130 142 158 180 203 230 261 289 185
45 20 36 35 32 32 32 32 32 32 32 32 32 32 32 32 32 32 32 32 35 36 20
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
20 36 35 32 32 32 32 32 32 32 32 32 32 32 32 32 32 32 32 35 36 20
46 0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 0
Total 25492437 3894355 3696784 2632011 1665903 988947 564471 314979 175615 103083 72407 72407 103083 175615 314979 564471 988947 1665903 2632011 3696784 3894355 25492437
40 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 40
25492437 3894355 3696784 2632011 1665903 988947 564471 314979 175615 103083 72407 72407 103083 175615 314979 564471 988947 1665903 2632011 3696784 3894355 25492437
Grand total = 2*40 + 4*72407 + 4*103083 + 4*175615 + 4*314979 + 4*564471 + 4*988947 + 4*1665903 + 4*2632011 + 4*3696784 + 4*3894355 + 4*25492437
= 158404048
Number of times each node (N) is present in a CNSAP of each length (L)
N 0 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
L
3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2
2 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 2
2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2
4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4
4 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 4
4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4
5 9 7 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 7 9
8 16 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 16 8
9 7 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 7 9
6 11 7 5 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 5 7 11
12 22 18 12 4 0 0 0 0 0 0 0 0 0 0 0 0 4 12 18 22 12
11 7 5 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 5 7 11
7 25 24 23 21 23 10 10 10 10 10 10 10 10 10 10 10 10 23 21 23 24 25
26 38 40 32 20 12 8 8 8 8 8 8 8 8 8 8 12 20 32 40 38 26
25 24 23 21 23 10 10 10 10 10 10 10 10 10 10 10 10 23 21 23 24 25
8 32 27 24 31 28 27 10 10 10 10 10 10 10 10 10 10 27 28 31 24 27 32
36 62 50 48 46 24 16 12 12 12 12 12 12 12 12 16 24 46 48 50 62 36
32 27 24 31 28 27 10 10 10 10 10 10 10 10 10 10 27 28 31 24 27 32
9 68 67 72 93 92 76 71 50 50 50 50 50 50 50 50 71 76 92 93 72 67 68
76 118 96 104 100 96 56 48 44 44 44 44 44 44 48 56 96 100 104 96 118 76
68 67 72 93 92 76 71 50 50 50 50 50 50 50 50 71 76 92 93 72 67 68
10 108 100 99 135 156 154 112 103 78 78 78 78 78 78 103 112 154 156 135 99 100 108
120 208 176 158 182 180 162 96 88 84 84 84 84 88 96 162 180 182 158 176 208 120
108 100 99 135 156 154 112 103 78 78 78 78 78 78 103 112 154 156 135 99 100 108
11 201 191 194 252 302 314 308 222 209 180 180 180 180 209 222 308 314 302 252 194 191 201
218 358 308 284 304 348 326 280 180 172 168 168 172 180 280 326 348 304 284 308 358 218
201 191 194 252 302 314 308 222 209 180 180 180 180 209 222 308 314 302 252 194 191 201
12 320 289 280 367 422 475 481 474 318 301 268 268 301 318 474 481 475 422 367 280 289 320
346 590 508 466 474 530 594 524 434 292 284 284 292 434 524 594 530 474 466 508 590 346
320 289 280 367 422 475 481 474 318 301 268 268 301 318 474 481 475 422 367 280 289 320
13 557 518 513 661 770 852 912 893 882 622 601 601 622 882 893 912 852 770 661 513 518 557
600 992 856 802 810 898 990 1060 890 740 552 552 740 890 1060 990 898 810 802 856 992 600
557 518 513 661 770 852 912 893 882 622 601 601 622 882 893 912 852 770 661 513 518 557
14 910 842 816 1053 1198 1332 1447 1530 1441 1416 1051 1051 1416 1441 1530 1447 1332 1198 1053 816 842 910
984 1656 1414 1340 1384 1476 1624 1758 1814 1460 1242 1242 1460 1814 1758 1624 1476 1384 1340 1414 1656 984
910 842 816 1053 1198 1332 1447 1530 1441 1416 1051 1051 1416 1441 1530 1447 1332 1198 1053 816 842 910
15 1566 1485 1472 1876 2141 2341 2593 2781 2880 2664 2636 2636 2664 2880 2781 2593 2341 2141 1876 1472 1485 1566
1696 2824 2412 2284 2410 2598 2792 3058 3212 3212 2842 2842 3212 3212 3058 2792 2598 2410 2284 2412 2824 1696
1566 1485 1472 1876 2141 2341 2593 2781 2880 2664 2636 2636 2664 2880 2781 2593 2341 2141 1876 1472 1485 1566
16 2618 2468 2428 3103 3496 3803 4105 4536 4883 5022 5247 5247 5022 4883 4536 4105 3803 3496 3103 2428 2468 2618
2840 4774 4070 3844 4046 4458 4770 5066 5556 6040 6286 6286 6040 5556 5066 4770 4458 4046 3844 4070 4774 2840
2618 2468 2428 3103 3496 3803 4105 4536 4883 5022 5247 5247 5022 4883 4536 4105 3803 3496 3103 2428 2468 2618
17 4472 4238 4206 5361 6062 6536 7057 7696 8457 10034 10337 10337 10034 8457 7696 7057 6536 6062 5361 4206 4238 4472
4846 8110 6938 6532 6872 7566 8212 8752 9730 11092 12988 12988 11092 9730 8752 8212 7566 6872 6532 6938 8110 4846
4472 4238 4206 5361 6062 6536 7057 7696 8457 10034 10337 10337 10034 8457 7696 7057 6536 6062 5361 4206 4238 4472
18 7514 7067 6968 8903 10028 10801 11559 12530 15098 16600 19646 19646 16600 15098 12530 11559 10801 10028 8903 6968 7067 7514
8138 13664 11690 10998 11494 12688 13820 15310 16856 21044 23538 23538 21044 16856 15310 13820 12688 11494 10998 11690 13664 8138
7514 7067 6968 8903 10028 10801 11559 12530 15098 16600 19646 19646 16600 15098 12530 11559 10801 10028 8903 6968 7067 7514
19 12731 11993 11853 15137 17101 18441 19697 23074 25345 31794 33607 33607 31794 25345 23074 19697 18441 17101 15137 11853 11993 12731
13778 23078 19762 18600 19438 21324 23974 26504 32958 36880 40814 40814 36880 32958 26504 23974 21324 19438 18600 19762 23078 13778
12731 11993 11853 15137 17101 18441 19697 23074 25345 31794 33607 33607 31794 25345 23074 19697 18441 17101 15137 11853 11993 12731
20 21426 20141 19844 25353 28669 30904 35388 38322 48855 52238 55848 55848 52238 48855 38322 35388 30904 28669 25353 19844 20141 21426
23190 38886 33274 31356 32752 36662 40832 51316 58112 65894 66590 66590 65894 58112 51316 40832 36662 32752 31356 33274 38886 23190
21426 20141 19844 25353 28669 30904 35388 38322 48855 52238 55848 55848 52238 48855 38322 35388 30904 28669 25353 19844 20141 21426
21 36219 34122 33675 43061 48666 55632 60033 76790 81569 89217 91083 91083 89217 81569 76790 60033 55632 48666 43061 33675 34122 36219
39204 65680 56200 52988 56326 62778 78582 90422 106754 109060 109592 109592 109060 106754 90422 78582 62778 56326 52988 56200 65680 39204
36219 34122 33675 43061 48666 55632 60033 76790 81569 89217 91083 91083 89217 81569 76790 60033 55632 48666 43061 33675 34122 36219
22 61086 57534 56813 72559 85876 93556 119982 127666 142903 145179 145635 145635 145179 142903 127666 119982 93556 85876 72559 56813 57534 61086
66136 110872 94838 90416 96022 119680 139052 169072 176784 181560 179254 179254 181560 176784 169072 139052 119680 96022 90416 94838 110872 66136
61086 57534 56813 72559 85876 93556 119982 127666 142903 145179 145635 145635 145179 142903 127666 119982 93556 85876 72559 56813 57534 61086
23 103224 97380 96188 127650 145280 187505 200381 231382 235954 236500 233055 233055 236500 235954 231382 200381 187505 145280 127650 96188 97380 103224
111764 187316 161368 153798 180824 211996 266024 283768 296420 293940 296094 296094 293940 296420 283768 266024 211996 180824 153798 161368 187316 111764
103224 97380 96188 127650 145280 187505 200381 231382 235954 236500 233055 233055 236500 235954 231382 200381 187505 145280 127650 96188 97380 103224
24 174315 164305 168068 215308 288512 312374 371885 381809 386377 378401 374337 374337 378401 386377 381809 371885 312374 288512 215308 168068 164305 174315
188650 317512 273666 284526 319222 412360 451788 482688 478602 482334 484694 484694 482334 478602 482688 451788 412360 319222 284526 273666 317512 188650
174315 164305 168068 215308 288512 312374 371885 381809 386377 378401 374337 374337 378401 386377 381809 371885 312374 288512 215308 168068 164305 174315
25 294260 284378 283935 426697 482104 596504 615979 632028 620176 611875 604435 604435 611875 620176 632028 615979 596504 482104 426697 283935 284378 294260
319906 537342 494748 500072 630818 707892 781108 780366 785278 786934 790994 790994 786934 785278 780366 781108 707892 630818 500072 494748 537342 319906
294260 284378 283935 426697 482104 596504 615979 632028 620176 611875 604435 604435 611875 620176 632028 615979 596504 482104 426697 283935 284378 294260
26 504155 479556 567759 712629 942694 987765 1030688 1013804 1000108 983331 978362 978362 983331 1000108 1013804 1030688 987765 942694 712629 567759 479556 504155
539418 946792 859808 991740 1093022 1246576 1262962 1278620 1278720 1283540 1284680 1284680 1283540 1278720 1278620 1262962 1246576 1093022 991740 859808 946792 539418
504155 479556 567759 712629 942694 987765 1030688 1013804 1000108 983331 978362 978362 983331 1000108 1013804 1030688 987765 942694 712629 567759 479556 504155
27 834133 920444 941672 1426299 1554475 1672439 1650722 1627185 1592717 1582106 1576223 1576223 1582106 1592717 1627185 1650722 1672439 1554475 1426299 941672 920444 834133
951150 1610290 1662764 1712816 1951010 2005884 2054706 2056908 2069466 2072170 2066012 2066012 2072170 2069466 2056908 2054706 2005884 1951010 1712816 1662764 1610290 951150
834133 920444 941672 1426299 1554475 1672439 1650722 1627185 1592717 1582106 1576223 1576223 1582106 1592717 1627185 1650722 1672439 1554475 1426299 941672 920444 834133
28 1539501 1513316 1961803 2333468 2665601 2665538 2628977 2559823 2535153 2519598 2519720 2519720 2519598 2535153 2559823 2628977 2665538 2665601 2333468 1961803 1513316 1539501
1571332 2980668 2837598 3092260 3128668 3250856 3263924 3295618 3306524 3296616 3290804 3290804 3296616 3306524 3295618 3263924 3250856 3128668 3092260 2837598 2980668 1571332
1539501 1513316 1961803 2333468 2665601 2665538 2628977 2559823 2535153 2519598 2519720 2519720 2519598 2535153 2559823 2628977 2665538 2665601 2333468 1961803 1513316 1539501
29 2212888 2937509 3045506 3930556 4064539 4043780 3904898 3846715 3809493 3809274 3807749 3807749 3809274 3809493 3846715 3904898 4043780 4064539 3930556 3045506 2937509 2212888
2834856 4637432 4776258 4602790 4751788 4806364 4899860 4933566 4919508 4906910 4895398 4895398 4906910 4919508 4933566 4899860 4806364 4751788 4602790 4776258 4637432 2834856
2212888 2937509 3045506 3930556 4064539 4043780 3904898 3846715 3809493 3809274 3807749 3807749 3809274 3809493 3846715 3904898 4043780 4064539 3930556 3045506 2937509 2212888
30 4385389 4478675 5331548 5965927 6164046 5959715 5826171 5730996 5719154 5709589 5711066 5711066 5709589 5719154 5730996 5826171 5959715 6164046 5965927 5331548 4478675 4385389
4329752 7960138 7245776 7113942 6985912 7190978 7298024 7307526 7293238 7272932 7276350 7276350 7272932 7293238 7307526 7298024 7190978 6985912 7113942 7245776 7960138 4329752
4385389 4478675 5331548 5965927 6164046 5959715 5826171 5730996 5719154 5709589 5711066 5711066 5709589 5719154 5730996 5826171 5959715 6164046 5965927 5331548 4478675 4385389
31 4713858 6757244 6984529 7788386 7597988 7365162 7149615 7116902 7095821 7092906 7078530 7078530 7092906 7095821 7116902 7149615 7365162 7597988 7788386 6984529 6757244 4713858
6445174 9258546 8810268 8186248 8451952 8718246 8781286 8745676 8691648 8713312 8739386 8739386 8713312 8691648 8745676 8781286 8718246 8451952 8186248 8810268 9258546 6445174
4713858 6757244 6984529 7788386 7597988 7365162 7149615 7116902 7095821 7092906 7078530 7078530 7092906 7095821 7116902 7149615 7365162 7597988 7788386 6984529 6757244 4713858
32 8670493 9201476 9910518 10307804 10170265 9725441 9568199 9500707 9510957 9492280 9482301 9482301 9492280 9510957 9500707 9568199 9725441 10170265 10307804 9910518 9201476 8670493
8718338 13628172 11438224 10861176 11099632 11481720 11570518 11472306 11451198 11463802 11493712 11493712 11463802 11451198 11472306 11570518 11481720 11099632 10861176 11438224 13628172 8718338
8670493 9201476 9910518 10307804 10170265 9725441 9568199 9500707 9510957 9492280 9482301 9482301 9492280 9510957 9500707 9568199 9725441 10170265 10307804 9910518 9201476 8670493
33 7245765 9946821 9883732 10005918 9372794 9066458 8885313 8887561 8852383 8841552 8829927 8829927 8841552 8852383 8887561 8885313 9066458 9372794 10005918 9883732 9946821 7245765
9414234 10728374 9765868 9497692 10101378 10360846 10244222 10232232 10244138 10271330 10258892 10258892 10271330 10244138 10232232 10244222 10360846 10101378 9497692 9765868 10728374 9414234
7245765 9946821 9883732 10005918 9372794 9066458 8885313 8887561 8852383 8841552 8829927 8829927 8841552 8852383 8887561 8885313 9066458 9372794 10005918 9883732 9946821 7245765
34 10324641 11266792 11530976 11128878 10705623 10199230 10135078 10086193 10083302 10054799 10049215 10049215 10054799 10083302 10086193 10135078 10199230 10705623 11128878 11530976 11266792 10324641
10709106 12974286 10366440 10376206 11238102 11396850 11359554 11283074 11335828 11347602 11343334 11343334 11347602 11335828 11283074 11359554 11396850 11238102 10376206 10366440 12974286 10709106
10324641 11266792 11530976 11128878 10705623 10199230 10135078 10086193 10083302 10054799 10049215 10049215 10054799 10083302 10086193 10135078 10199230 10705623 11128878 11530976 11266792 10324641
35 7531913 9397370 8804956 8395841 7679896 7486010 7345067 7344365 7297640 7290137 7282334 7282334 7290137 7297640 7344365 7345067 7486010 7679896 8395841 8804956 9397370 7531913
8861744 7365576 6897654 7388560 7850794 7999776 7904810 7963188 7963820 7976454 7974376 7974376 7976454 7963820 7963188 7904810 7999776 7850794 7388560 6897654 7365576 8861744
7531913 9397370 8804956 8395841 7679896 7486010 7345067 7344365 7297640 7290137 7282334 7282334 7290137 7297640 7344365 7345067 7486010 7679896 8395841 8804956 9397370 7531913
36 7432287 8109777 8087780 7321834 6950972 6581522 6594773 6528252 6516140 6492297 6492945 6492945 6492297 6516140 6528252 6594773 6581522 6950972 7321834 8087780 8109777 7432287
7821092 6649012 5464380 6061140 6847304 6729778 6772096 6767554 6815288 6805568 6806942 6806942 6805568 6815288 6767554 6772096 6729778 6847304 6061140 5464380 6649012 7821092
7432287 8109777 8087780 7321834 6950972 6581522 6594773 6528252 6516140 6492297 6492945 6492945 6492297 6516140 6528252 6594773 6581522 6950972 7321834 8087780 8109777 7432287
37 4823622 5526113 4999659 4617439 4160904 4099660 3989798 3986664 3945587 3943243 3935828 3935828 3943243 3945587 3986664 3989798 4099660 4160904 4617439 4999659 5526113 4823622
5264884 3019616 3074290 3684442 3852908 3991710 3952930 4020700 4014540 4028928 4025410 4025410 4028928 4014540 4020700 3952930 3991710 3852908 3684442 3074290 3019616 5264884
4823622 5526113 4999659 4617439 4160904 4099660 3989798 3986664 3945587 3943243 3935828 3935828 3943243 3945587 3986664 3989798 4099660 4160904 4617439 4999659 5526113 4823622
38 3309709 3524155 3424592 2979305 2815770 2647318 2664054 2604704 2602642 2585987 2586107 2586107 2585987 2602642 2604704 2664054 2647318 2815770 2979305 3424592 3524155 3309709
3458160 1833566 1740604 2162918 2485060 2398706 2500914 2493612 2522152 2515462 2524000 2524000 2515462 2522152 2493612 2500914 2398706 2485060 2162918 1740604 1833566 3458160
3309709 3524155 3424592 2979305 2815770 2647318 2664054 2604704 2602642 2585987 2586107 2586107 2585987 2602642 2604704 2664054 2647318 2815770 2979305 3424592 3524155 3309709
39 1790452 1921082 1736228 1572134 1413185 1399124 1345279 1344955 1320947 1321673 1316002 1316002 1321673 1320947 1344955 1345279 1399124 1413185 1572134 1736228 1921082 1790452
1870398 674282 806720 1077584 1120730 1200266 1192320 1236876 1229518 1242600 1241380 1241380 1242600 1229518 1236876 1192320 1200266 1120730 1077584 806720 674282 1870398
1790452 1921082 1736228 1572134 1413185 1399124 1345279 1344955 1320947 1321673 1316002 1316002 1321673 1320947 1344955 1345279 1399124 1413185 1572134 1736228 1921082 1790452
40 883563 909020 862747 747562 703668 663157 663281 640336 641394 632941 633243 633243 632941 641394 640336 663281 663157 703668 747562 862747 909020 883563
907086 259428 329840 452122 516476 512656 555662 549288 566786 564542 568530 568530 564542 566786 549288 555662 512656 516476 452122 329840 259428 907086
883563 909020 862747 747562 703668 663157 663281 640336 641394 632941 633243 633243 632941 641394 640336 663281 663157 703668 747562 862747 909020 883563
41 364135 371697 342388 307639 280892 276175 264073 262739 256176 256260 254206 254206 256260 256176 262739 264073 276175 280892 307639 342388 371697 364135
371078 70220 114512 165692 176482 196936 199594 211832 210904 216544 215828 215828 216544 210904 211832 199594 196936 176482 165692 114512 70220 371078
364135 371697 342388 307639 280892 276175 264073 262739 256176 256260 254206 254206 256260 256176 262739 264073 276175 280892 307639 342388 371697 364135
42 126637 126333 119240 106021 99797 95444 93672 90501 90029 88413 88357 88357 88413 90029 90501 93672 95444 99797 106021 119240 126333 126637
128034 16014 32486 47692 54480 58708 64390 65322 68922 68810 70042 70042 68810 68922 65322 64390 58708 54480 47692 32486 16014 128034
126637 126333 119240 106021 99797 95444 93672 90501 90029 88413 88357 88357 88413 90029 90501 93672 95444 99797 106021 119240 126333 126637
43 35936 35616 33672 30721 28881 28139 27100 26636 26044 25828 25636 25636 25828 26044 26636 27100 28139 28881 30721 33672 35616 35936
36152 2686 7370 11110 12578 14660 15576 16856 17344 17952 18104 18104 17952 17344 16856 15576 14660 12578 11110 7370 2686 36152
35936 35616 33672 30721 28881 28139 27100 26636 26044 25828 25636 25636 25828 26044 26636 27100 28139 28881 30721 33672 35616 35936
44 7911 7699 7384 6839 6529 6364 6164 6052 5932 5876 5836 5836 5876 5932 6052 6164 6364 6529 6839 7384 7699 7911
7932 220 1240 1876 2208 2636 2876 3164 3308 3452 3500 3500 3452 3308 3164 2876 2636 2208 1876 1240 220 7932
7911 7699 7384 6839 6529 6364 6164 6052 5932 5876 5836 5836 5876 5932 6052 6164 6364 6529 6839 7384 7699 7911
45 1388 1353 1321 1251 1222 1198 1178 1162 1150 1142 1138 1138 1142 1150 1162 1178 1198 1222 1251 1321 1353 1388
1390 4 140 204 264 312 352 384 408 424 432 432 424 408 384 352 312 264 204 140 4 1390
1388 1353 1321 1251 1222 1198 1178 1162 1150 1142 1138 1138 1142 1150 1162 1178 1198 1222 1251 1321 1353 1388
46 68 68 66 64 64 64 64 64 64 64 64 64 64 64 64 64 64 64 64 66 68 68
68 0 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 0 68
68 68 66 64 64 64 64 64 64 64 64 64 64 64 64 64 64 64 64 66 68 68
Total 67460122 78119304 79265557 80634145 78500731 76291340 75226174 74748222 74478328 74311487 74232903 74232903 74311487 74478328 74748222 75226174 76291340 78500731 80634145 79265557 78119304 67460122
75023958 85929452 77394690 78646882 83084304 85168038 85711314 85854418 85976998 86069760 86113200 86113200 86069760 85976998 85854418 85711314 85168038 83084304 78646882 77394690 85929452 75023958
67460122 78119304 79265557 80634145 78500731 76291340 75226174 74748222 74478328 74311487 74232903 74232903 74311487 74478328 74748222 75226174 76291340 78500731 80634145 79265557 78119304 67460122
Grand total = 4*67460122 + 4*74232903 + 4*74311487 + 4*74478328 + 4*74748222 + 2*75023958 + 4*75226174 + 4*76291340 + 2*77394690 + 4*78119304 + 4*78500731 + 2*78646882 + 4*79265557 + 4*80634145 + 2*83084304 + 2*85168038 +
2*85711314 + 2*85854418 + 2*85929452 + 2*85976998 + 2*86069760 + 2*86113200
= 5163019280
Number of CNSAPs for each starting node (SN) and ending node (EN) pair
SN 0 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
EN
0 0 0 40 78 116 156 294 640 1372 2772 5388 10346 19912 38392 73618 139500 260312 477104 855120 1486374 2468188 3802324 0 2
2 4 10 22 46 96 202 426 898 1892 3986 8398 17694 37280 78546 165490 348674 734628 1547802 3261094 21 2 4 24
78 182 382 732 1362 2614 5176 10286 20146 38810 73866 139264 259662 476522 855084 1486898 2468918 3803166
1 0 0 0 20 3 20 36 112 243 452 806 1512 2971 5868 11352 21452 39819 72780 130434 226908 376995 580868 20 0
1 1 1 3 7 15 31 65 137 289 609 1283 2703 5695 11999 25281 53265 112225 236449 498179 0 0 0 0
18 52 70 90 167 372 812 1642 3147 5924 11178 21134 39615 72900 130824 227302 377219 580980
2 38 0 0 0 38 6 38 68 210 454 842 1496 2790 5438 10638 20356 37970 69326 123938 215320 357670 551126 19 19
0 2 2 2 6 14 30 62 130 274 578 1218 2566 5406 11390 23998 50562 106530 224450 472898 0 0 0 0
0 34 98 132 170 314 694 1504 3022 5754 10746 20068 37434 68962 124062 215840 358270 551762
3 54 54 0 0 0 54 9 54 96 294 633 1170 2070 3834 7401 14310 27012 49554 88521 153474 254658 392286 18 18
18 0 3 3 3 9 21 45 93 195 411 867 1827 3849 8109 17085 35997 75843 159795 336675 18 0 0 0
0 0 48 138 186 240 441 966 2076 4140 7821 14466 26670 48900 88041 153486 255048 392904
4 68 51 68 0 0 0 68 12 68 120 364 780 1436 2528 4644 8860 16884 31320 56204 97404 161388 248448 51 17
17 17 0 4 4 4 12 28 60 124 260 548 1156 2436 5132 10812 22780 47996 101124 213060 68 34 0 0
0 0 0 60 172 232 300 548 1188 2528 4996 9348 17084 30984 55532 96852 161172 248448
5 96 80 48 80 0 0 0 80 15 80 140 420 895 1640 2870 5220 9815 18360 33280 57920 95975 147680 112 48
16 16 16 0 5 5 5 15 35 75 155 325 685 1445 3045 6415 13515 28475 59995 126405 160 112 48 0
0 0 0 0 70 200 270 350 635 1360 2860 5590 10335 18600 33010 57330 95395 147120
6 210 120 90 45 90 0 0 0 90 18 90 156 462 978 1782 3096 5562 10266 18738 32892 54702 84234 225 105
45 15 15 15 0 6 6 6 18 42 90 186 390 822 1734 3654 7698 16218 34170 71994 300 210 150 60
0 0 0 0 0 78 222 300 390 702 1482 3072 5922 10782 19014 32748 54294 83670
7 490 294 140 98 42 98 0 0 0 98 21 98 168 490 1029 1862 3206 5670 10213 18018 30156 46550 434 210
98 42 14 14 14 0 7 7 7 21 49 105 217 455 959 2023 4263 8981 18921 39865 518 350 252 182
70 0 0 0 0 0 84 238 322 420 749 1554 3164 5992 10689 18326 30198 46424
8 1040 663 364 156 104 39 104 0 0 0 104 24 104 176 504 1048 1880 3200 5544 9656 16200 25072 845 403
195 91 39 13 13 13 0 8 8 8 24 56 120 248 520 1096 2312 4872 10264 21624 936 611 390 286
208 78 0 0 0 0 0 88 248 336 440 776 1576 3136 5800 10056 16536 25360
9 2016 1332 804 420 168 108 36 108 0 0 0 108 27 108 180 504 1035 1836 3078 5184 8595 13284 1644 780
372 180 84 36 12 12 12 0 9 9 9 27 63 135 279 585 1233 2601 5481 11547 1824 1164 684 420
312 228 84 0 0 0 0 0 90 252 342 450 783 1548 2988 5346 8883 13644
10 3762 2486 1562 913 462 176 110 33 110 0 0 0 110 30 110 180 490 990 1730 2840 4590 7030 3179 1507
715 341 165 77 33 11 11 11 0 10 10 10 30 70 150 310 650 1370 2890 6090 3652 2332 1342 737
440 330 242 88 0 0 0 0 0 90 250 340 450 770 1470 2720 4630 7170
11 7030 4590 2840 1730 990 490 180 110 30 110 0 0 0 110 33 110 176 462 913 1562 2486 3762 6090 2890
1370 650 310 150 70 30 10 10 10 0 11 11 11 33 77 165 341 715 1507 3179 7170 4630 2720 1470
770 450 340 250 90 0 0 0 0 0 88 242 330 440 737 1342 2332 3652
12 13284 8595 5184 3078 1836 1035 504 180 108 27 108 0 0 0 108 36 108 168 420 804 1332 2016 11547 5481
2601 1233 585 279 135 63 27 9 9 9 0 12 12 12 36 84 180 372 780 1644 13644 8883 5346 2988
1548 783 450 342 252 90 0 0 0 0 0 84 228 312 420 684 1164 1824
13 25072 16200 9656 5544 3200 1880 1048 504 176 104 24 104 0 0 0 104 39 104 156 364 663 1040 21624 10264
4872 2312 1096 520 248 120 56 24 8 8 8 0 13 13 13 39 91 195 403 845 25360 16536 10056 5800
3136 1576 776 440 336 248 88 0 0 0 0 0 78 208 286 390 611 936
14 46550 30156 18018 10213 5670 3206 1862 1029 490 168 98 21 98 0 0 0 98 42 98 140 294 490 39865 18921
8981 4263 2023 959 455 217 105 49 21 7 7 7 0 14 14 14 42 98 210 434 46424 30198 18326 10689
5992 3164 1554 749 420 322 238 84 0 0 0 0 0 70 182 252 350 518
15 84234 54702 32892 18738 10266 5562 3096 1782 978 462 156 90 18 90 0 0 0 90 45 90 120 210 71994 34170
16218 7698 3654 1734 822 390 186 90 42 18 6 6 6 0 15 15 15 45 105 225 83670 54294 32748 19014
10782 5922 3072 1482 702 390 300 222 78 0 0 0 0 0 60 150 210 300
16 147680 95975 57920 33280 18360 9815 5220 2870 1640 895 420 140 80 15 80 0 0 0 80 48 80 96 126405 59995
28475 13515 6415 3045 1445 685 325 155 75 35 15 5 5 5 0 16 16 16 48 112 147120 95395 57330 33010
18600 10335 5590 2860 1360 635 350 270 200 70 0 0 0 0 0 48 112 160
17 248448 161388 97404 56204 31320 16884 8860 4644 2528 1436 780 364 120 68 12 68 0 0 0 68 51 68 213060 101124
47996 22780 10812 5132 2436 1156 548 260 124 60 28 12 4 4 4 0 17 17 17 51 248448 161172 96852 55532
30984 17084 9348 4996 2528 1188 548 300 232 172 60 0 0 0 0 0 34 68
18 392286 254658 153474 88521 49554 27012 14310 7401 3834 2070 1170 633 294 96 54 9 54 0 0 0 54 54 336675 159795
75843 35997 17085 8109 3849 1827 867 411 195 93 45 21 9 3 3 3 0 18 18 18 392904 255048 153486 88041
48900 26670 14466 7821 4140 2076 966 441 240 186 138 48 0 0 0 0 0 18
19 551126 357670 215320 123938 69326 37970 20356 10638 5438 2790 1496 842 454 210 68 38 6 38 0 0 0 38 472898 224450
106530 50562 23998 11390 5406 2566 1218 578 274 130 62 30 14 6 2 2 2 0 19 19 551762 358270 215840 124062
68962 37434 20068 10746 5754 3022 1504 694 314 170 132 98 34 0 0 0 0 0
20 580868 376995 226908 130434 72780 39819 21452 11352 5868 2971 1512 806 452 243 112 36 20 3 20 0 0 0 498179 236449
112225 53265 25281 11999 5695 2703 1283 609 289 137 65 31 15 7 3 1 1 1 0 20 580980 377219 227302 130824
72900 39615 21134 11178 5924 3147 1642 812 372 167 90 70 52 18 0 0 0 0
21 3802324 2468188 1486374 855120 477104 260312 139500 73618 38392 19912 10346 5388 2772 1372 640 294 156 116 78 40 0 0 3261094 1547802
734628 348674 165490 78546 37280 17694 8398 3986 1892 898 426 202 96 46 22 10 4 2 2 0 3803166 2468918 1486898 855084
476522 259662 139264 73866 38810 20146 10286 5176 2614 1362 732 382 182 78 24 4 2 21
22 0 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 20 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
26 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
27 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
28 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
29 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
30 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
31 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
32 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
33 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
34 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
35 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
36 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
37 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
38 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
39 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
40 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
41 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
42 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
43 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 20 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 20 0
44 21 2 4 24 78 182 382 732 1362 2614 5176 10286 20146 38810 73866 139264 259662 476522 855084 1486898 2468918 3803166 0 2
2 4 10 22 46 96 202 426 898 1892 3986 8398 17694 37280 78546 165490 348674 734628 1547802 3261094 0 0 40 78
116 156 294 640 1372 2772 5388 10346 19912 38392 73618 139500 260312 477104 855120 1486374 2468188 3802324
45 0 0 0 0 18 52 70 90 167 372 812 1642 3147 5924 11178 21134 39615 72900 130824 227302 377219 580980 20 0
1 1 1 3 7 15 31 65 137 289 609 1283 2703 5695 11999 25281 53265 112225 236449 498179 0 0 0 20
3 20 36 112 243 452 806 1512 2971 5868 11352 21452 39819 72780 130434 226908 376995 580868
46 0 0 0 0 0 34 98 132 170 314 694 1504 3022 5754 10746 20068 37434 68962 124062 215840 358270 551762 19 19
0 2 2 2 6 14 30 62 130 274 578 1218 2566 5406 11390 23998 50562 106530 224450 472898 38 0 0 0
38 6 38 68 210 454 842 1496 2790 5438 10638 20356 37970 69326 123938 215320 357670 551126
47 18 0 0 0 0 0 48 138 186 240 441 966 2076 4140 7821 14466 26670 48900 88041 153486 255048 392904 18 18
18 0 3 3 3 9 21 45 93 195 411 867 1827 3849 8109 17085 35997 75843 159795 336675 54 54 0 0
0 54 9 54 96 294 633 1170 2070 3834 7401 14310 27012 49554 88521 153474 254658 392286
48 68 34 0 0 0 0 0 60 172 232 300 548 1188 2528 4996 9348 17084 30984 55532 96852 161172 248448 51 17
17 17 0 4 4 4 12 28 60 124 260 548 1156 2436 5132 10812 22780 47996 101124 213060 68 51 68 0
0 0 68 12 68 120 364 780 1436 2528 4644 8860 16884 31320 56204 97404 161388 248448
49 160 112 48 0 0 0 0 0 70 200 270 350 635 1360 2860 5590 10335 18600 33010 57330 95395 147120 112 48
16 16 16 0 5 5 5 15 35 75 155 325 685 1445 3045 6415 13515 28475 59995 126405 96 80 48 80
0 0 0 80 15 80 140 420 895 1640 2870 5220 9815 18360 33280 57920 95975 147680
50 300 210 150 60 0 0 0 0 0 78 222 300 390 702 1482 3072 5922 10782 19014 32748 54294 83670 225 105
45 15 15 15 0 6 6 6 18 42 90 186 390 822 1734 3654 7698 16218 34170 71994 210 120 90 45
90 0 0 0 90 18 90 156 462 978 1782 3096 5562 10266 18738 32892 54702 84234
51 518 350 252 182 70 0 0 0 0 0 84 238 322 420 749 1554 3164 5992 10689 18326 30198 46424 434 210
98 42 14 14 14 0 7 7 7 21 49 105 217 455 959 2023 4263 8981 18921 39865 490 294 140 98
42 98 0 0 0 98 21 98 168 490 1029 1862 3206 5670 10213 18018 30156 46550
52 936 611 390 286 208 78 0 0 0 0 0 88 248 336 440 776 1576 3136 5800 10056 16536 25360 845 403
195 91 39 13 13 13 0 8 8 8 24 56 120 248 520 1096 2312 4872 10264 21624 1040 663 364 156
104 39 104 0 0 0 104 24 104 176 504 1048 1880 3200 5544 9656 16200 25072
53 1824 1164 684 420 312 228 84 0 0 0 0 0 90 252 342 450 783 1548 2988 5346 8883 13644 1644 780
372 180 84 36 12 12 12 0 9 9 9 27 63 135 279 585 1233 2601 5481 11547 2016 1332 804 420
168 108 36 108 0 0 0 108 27 108 180 504 1035 1836 3078 5184 8595 13284
54 3652 2332 1342 737 440 330 242 88 0 0 0 0 0 90 250 340 450 770 1470 2720 4630 7170 3179 1507
715 341 165 77 33 11 11 11 0 10 10 10 30 70 150 310 650 1370 2890 6090 3762 2486 1562 913
462 176 110 33 110 0 0 0 110 30 110 180 490 990 1730 2840 4590 7030
55 7170 4630 2720 1470 770 450 340 250 90 0 0 0 0 0 88 242 330 440 737 1342 2332 3652 6090 2890
1370 650 310 150 70 30 10 10 10 0 11 11 11 33 77 165 341 715 1507 3179 7030 4590 2840 1730
990 490 180 110 30 110 0 0 0 110 33 110 176 462 913 1562 2486 3762
56 13644 8883 5346 2988 1548 783 450 342 252 90 0 0 0 0 0 84 228 312 420 684 1164 1824 11547 5481
2601 1233 585 279 135 63 27 9 9 9 0 12 12 12 36 84 180 372 780 1644 13284 8595 5184 3078
1836 1035 504 180 108 27 108 0 0 0 108 36 108 168 420 804 1332 2016
57 25360 16536 10056 5800 3136 1576 776 440 336 248 88 0 0 0 0 0 78 208 286 390 611 936 21624 10264
4872 2312 1096 520 248 120 56 24 8 8 8 0 13 13 13 39 91 195 403 845 25072 16200 9656 5544
3200 1880 1048 504 176 104 24 104 0 0 0 104 39 104 156 364 663 1040
58 46424 30198 18326 10689 5992 3164 1554 749 420 322 238 84 0 0 0 0 0 70 182 252 350 518 39865 18921
8981 4263 2023 959 455 217 105 49 21 7 7 7 0 14 14 14 42 98 210 434 46550 30156 18018 10213
5670 3206 1862 1029 490 168 98 21 98 0 0 0 98 42 98 140 294 490
59 83670 54294 32748 19014 10782 5922 3072 1482 702 390 300 222 78 0 0 0 0 0 60 150 210 300 71994 34170
16218 7698 3654 1734 822 390 186 90 42 18 6 6 6 0 15 15 15 45 105 225 84234 54702 32892 18738
10266 5562 3096 1782 978 462 156 90 18 90 0 0 0 90 45 90 120 210
60 147120 95395 57330 33010 18600 10335 5590 2860 1360 635 350 270 200 70 0 0 0 0 0 48 112 160 126405 59995
28475 13515 6415 3045 1445 685 325 155 75 35 15 5 5 5 0 16 16 16 48 112 147680 95975 57920 33280
18360 9815 5220 2870 1640 895 420 140 80 15 80 0 0 0 80 48 80 96
61 248448 161172 96852 55532 30984 17084 9348 4996 2528 1188 548 300 232 172 60 0 0 0 0 0 34 68 213060 101124
47996 22780 10812 5132 2436 1156 548 260 124 60 28 12 4 4 4 0 17 17 17 51 248448 161388 97404 56204
31320 16884 8860 4644 2528 1436 780 364 120 68 12 68 0 0 0 68 51 68
62 392904 255048 153486 88041 48900 26670 14466 7821 4140 2076 966 441 240 186 138 48 0 0 0 0 0 18 336675 159795
75843 35997 17085 8109 3849 1827 867 411 195 93 45 21 9 3 3 3 0 18 18 18 392286 254658 153474 88521
49554 27012 14310 7401 3834 2070 1170 633 294 96 54 9 54 0 0 0 54 54
63 551762 358270 215840 124062 68962 37434 20068 10746 5754 3022 1504 694 314 170 132 98 34 0 0 0 0 0 472898 224450
106530 50562 23998 11390 5406 2566 1218 578 274 130 62 30 14 6 2 2 2 0 19 19 551126 357670 215320 123938
69326 37970 20356 10638 5438 2790 1496 842 454 210 68 38 6 38 0 0 0 38
64 580980 377219 227302 130824 72900 39615 21134 11178 5924 3147 1642 812 372 167 90 70 52 18 0 0 0 0 498179 236449
112225 53265 25281 11999 5695 2703 1283 609 289 137 65 31 15 7 3 1 1 1 0 20 580868 376995 226908 130434
72780 39819 21452 11352 5868 2971 1512 806 452 243 112 36 20 3 20 0 0 0
65 3803166 2468918 1486898 855084 476522 259662 139264 73866 38810 20146 10286 5176 2614 1362 732 382 182 78 24 4 2 21 3261094 1547802
734628 348674 165490 78546 37280 17694 8398 3986 1892 898 426 202 96 46 22 10 4 2 2 0 3802324 2468188 1486374 855120
477104 260312 139500 73618 38392 19912 10346 5388 2772 1372 640 294 156 116 78 40 0 0
Sum of all rows = 4(3*0 + 3*2 + 2*4 + 1*10 + 1*21 + 1*22 + 1*24 + 1*40 + 1*46 + 2*78 + 1*96 + 1*116 + 1*156 + 1*182 + 1*202 + 1*294 + 1*382 + 1*426 + 1*640 + 1*732 + 1*898 + 1*1362 + 1*1372 + 1*1892 + 1*2614 +
1*2772 + 1*3986 + 1*5176 + 1*5388 + 1*8398 + 1*10286 + 1*10346 + 1*17694 + 1*19912 + 1*20146 + 1*37280 + 1*38392 + 1*38810 + 1*73618 + 1*73866 + 1*78546 + 1*139264 + 1*139500 + 1*165490 +
1*259662 + 1*260312 + 1*348674 + 1*476522 + 1*477104 + 1*734628 + 1*855084 + 1*855120 + 1*1486374 + 1*1486898 + 1*1547802 + 1*2468188 + 1*2468918 + 1*3261094 + 1*3802324 + 1*3803166) +
4(8*0 + 3*1 + 2*3 + 1*7 + 1*15 + 1*18 + 3*20 + 1*31 + 1*36 + 1*52 + 1*65 + 1*70 + 1*90 + 1*112 + 1*137 + 1*167 + 1*243 + 1*289 + 1*372 + 1*452 + 1*609 + 1*806 + 1*812 + 1*1283 + 1*1512 +
1*1642 + 1*2703 + 1*2971 + 1*3147 + 1*5695 + 1*5868 + 1*5924 + 1*11178 + 1*11352 + 1*11999 + 1*21134 + 1*21452 + 1*25281 + 1*39615 + 1*39819 + 1*53265 + 1*72780 + 1*72900 + 1*112225 +
1*130434 + 1*130824 + 1*226908 + 1*227302 + 1*236449 + 1*376995 + 1*377219 + 1*498179 + 1*580868 + 1*580980) +
4(9*0 + 3*2 + 2*6 + 1*14 + 2*19 + 1*30 + 1*34 + 3*38 + 1*62 + 1*68 + 1*98 + 1*130 + 1*132 + 1*170 + 1*210 + 1*274 + 1*314 + 1*454 + 1*578 + 1*694 + 1*842 + 1*1218 + 1*1496 + 1*1504 + 1*2566 +
1*2790 + 1*3022 + 1*5406 + 1*5438 + 1*5754 + 1*10638 + 1*10746 + 1*11390 + 1*20068 + 1*20356 + 1*23998 + 1*37434 + 1*37970 + 1*50562 + 1*68962 + 1*69326 + 1*106530 + 1*123938 + 1*124062 +
1*215320 + 1*215840 + 1*224450 + 1*357670 + 1*358270 + 1*472898 + 1*551126 + 1*551762) +
4(9*0 + 3*3 + 2*9 + 4*18 + 1*21 + 1*45 + 1*48 + 4*54 + 1*93 + 1*96 + 1*138 + 1*186 + 1*195 + 1*240 + 1*294 + 1*411 + 1*441 + 1*633 + 1*867 + 1*966 + 1*1170 + 1*1827 + 1*2070 + 1*2076 + 1*3834 +
1*3849 + 1*4140 + 1*7401 + 1*7821 + 1*8109 + 1*14310 + 1*14466 + 1*17085 + 1*26670 + 1*27012 + 1*35997 + 1*48900 + 1*49554 + 1*75843 + 1*88041 + 1*88521 + 1*153474 + 1*153486 + 1*159795 +
1*254658 + 1*255048 + 1*336675 + 1*392286 + 1*392904) +
4(9*0 + 3*4 + 2*12 + 3*17 + 1*28 + 1*34 + 2*51 + 2*60 + 5*68 + 1*120 + 1*124 + 1*172 + 1*232 + 1*260 + 1*300 + 1*364 + 2*548 + 1*780 + 1*1156 + 1*1188 + 1*1436 + 1*2436 + 2*2528 + 1*4644 +
1*4996 + 1*5132 + 1*8860 + 1*9348 + 1*10812 + 1*16884 + 1*17084 + 1*22780 + 1*30984 + 1*31320 + 1*47996 + 1*55532 + 1*56204 + 1*96852 + 1*97404 + 1*101124 + 1*161172 + 1*161388 + 1*213060 +
1*248448 + 1*248448) +
4(9*0 + 3*5 + 2*15 + 3*16 + 1*35 + 3*48 + 1*70 + 1*75 + 4*80 + 1*96 + 2*112 + 1*140 + 1*155 + 1*160 + 1*200 + 1*270 + 1*325 + 1*350 + 1*420 + 1*635 + 1*685 + 1*895 + 1*1360 + 1*1445 + 1*1640 +
1*2860 + 1*2870 + 1*3045 + 1*5220 + 1*5590 + 1*6415 + 1*9815 + 1*10335 + 1*13515 + 1*18360 + 1*18600 + 1*28475 + 1*33010 + 1*33280 + 1*57330 + 1*57920 + 1*59995 + 1*95395 + 1*95975 +
1*126405 + 1*147120 + 1*147680) +
4(9*0 + 3*6 + 3*15 + 2*18 + 1*42 + 2*45 + 1*60 + 1*78 + 5*90 + 1*105 + 1*120 + 1*150 + 1*156 + 1*186 + 2*210 + 1*222 + 1*225 + 2*300 + 2*390 + 1*462 + 1*702 + 1*822 + 1*978 + 1*1482 + 1*1734 +
1*1782 + 1*3072 + 1*3096 + 1*3654 + 1*5562 + 1*5922 + 1*7698 + 1*10266 + 1*10782 + 1*16218 + 1*18738 + 1*19014 + 1*32748 + 1*32892 + 1*34170 + 1*54294 + 1*54702 + 1*71994 + 1*83670 + 1*84234) +
4(9*0 + 3*7 + 3*14 + 2*21 + 2*42 + 1*49 + 1*70 + 1*84 + 5*98 + 1*105 + 1*140 + 1*168 + 1*182 + 1*210 + 1*217 + 1*238 + 1*252 + 1*294 + 1*322 + 1*350 + 1*420 + 1*434 + 1*455 + 2*490 + 1*518 +
1*749 + 1*959 + 1*1029 + 1*1554 + 1*1862 + 1*2023 + 1*3164 + 1*3206 + 1*4263 + 1*5670 + 1*5992 + 1*8981 + 1*10213 + 1*10689 + 1*18018 + 1*18326 + 1*18921 + 1*30156 + 1*30198 + 1*39865 +
1*46424 + 1*46550) +
4(9*0 + 3*8 + 3*13 + 2*24 + 2*39 + 1*56 + 1*78 + 1*88 + 1*91 + 4*104 + 1*120 + 1*156 + 1*176 + 1*195 + 1*208 + 2*248 + 1*286 + 1*336 + 1*364 + 1*390 + 1*403 + 1*440 + 1*504 + 1*520 + 1*611 +
1*663 + 1*776 + 1*845 + 1*936 + 1*1040 + 1*1048 + 1*1096 + 1*1576 + 1*1880 + 1*2312 + 1*3136 + 1*3200 + 1*4872 + 1*5544 + 1*5800 + 1*9656 + 1*10056 + 1*10264 + 1*16200 + 1*16536 + 1*21624 +
1*25072 + 1*25360) +
4(9*0 + 3*9 + 3*12 + 2*27 + 2*36 + 1*63 + 2*84 + 1*90 + 4*108 + 1*135 + 1*168 + 2*180 + 1*228 + 1*252 + 1*279 + 1*312 + 1*342 + 1*372 + 2*420 + 1*450 + 1*504 + 1*585 + 1*684 + 1*780 + 1*783 +
1*804 + 1*1035 + 1*1164 + 1*1233 + 1*1332 + 1*1548 + 1*1644 + 1*1824 + 1*1836 + 1*2016 + 1*2601 + 1*2988 + 1*3078 + 1*5184 + 1*5346 + 1*5481 + 1*8595 + 1*8883 + 1*11547 + 1*13284 + 1*13644) +
4(9*0 + 3*10 + 3*11 + 2*30 + 2*33 + 1*70 + 1*77 + 1*88 + 1*90 + 4*110 + 1*150 + 1*165 + 1*176 + 1*180 + 1*242 + 1*250 + 1*310 + 1*330 + 1*340 + 1*341 + 1*440 + 1*450 + 1*462 + 1*490 + 1*650 +
1*715 + 1*737 + 1*770 + 1*913 + 1*990 + 1*1342 + 1*1370 + 1*1470 + 1*1507 + 1*1562 + 1*1730 + 1*2332 + 1*2486 + 1*2720 + 1*2840 + 1*2890 + 1*3179 + 1*3652 + 1*3762 + 1*4590 + 1*4630 + 1*6090 +
1*7030 + 1*7170) +
2(64*0 + 2*20) +
20(66*0)
= 101969748 + 15577420 + 14787136 + 10528044 + 6663612 + 3955788 + 2257884 + 1259916 + 702460 + 412332 + 289628 + 80
= 158404048
Value repetition frequencies = 4(56*1 + 2*2 + 2*3) +
4(50*1 + 1*2 + 2*3 + 1*8) +
4(47*1 + 2*2 + 2*3 + 1*9) +
4(44*1 + 1*2 + 1*3 + 2*4 + 1*9) +
4(36*1 + 5*2 + 2*3 + 1*5 + 1*9) +
4(40*1 + 2*2 + 3*3 + 1*4 + 1*9) +
4(36*1 + 5*2 + 2*3 + 1*5 + 1*9) +
4(40*1 + 3*2 + 2*3 + 1*5 + 1*9) +
4(41*1 + 3*2 + 2*3 + 1*4 + 1*9) +
4(37*1 + 5*2 + 2*3 + 1*4 + 1*9) +
4(43*1 + 2*2 + 2*3 + 1*4 + 1*9) +
2(1*2 + 1*64) +
20(1*66)
= 4356
Number of distinct row element sets = 13
Number of rows = 1*2 + 11*4 + 1*20
= 66
Number of distinct values = 462
Distinct values 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Frequency 1816 12 24 20 20 12 20 16 12 20 16 12 20 12 16 24 12 12 28 8
Distinct values 20 21 22 24 27 28 30 31 33 34 35 36 38 39 40 42 45 46 48 49
Frequency 16 16 4 12 8 4 12 4 8 8 4 12 12 8 4 12 12 4 16 4
Distinct values 51 52 54 56 60 62 63 65 68 70 75 77 78 80 84 88 90 91 93 96
Frequency 8 4 16 4 12 4 4 4 24 16 4 4 16 16 12 8 32 4 4 12
Distinct values 98 104 105 108 110 112 116 120 124 130 132 135 137 138 140 150 155 156 160 165
Frequency 24 16 8 16 16 12 4 12 4 4 4 4 4 4 8 8 4 12 4 4
Distinct values 167 168 170 172 176 180 182 186 195 200 202 208 210 217 222 225 228 232 238 240
Frequency 4 8 4 4 8 12 8 8 8 4 4 4 16 4 4 4 4 4 4 4
Distinct values 242 243 248 250 252 260 270 274 279 286 289 294 300 310 312 314 322 325 330 336
Frequency 4 4 8 4 8 4 4 4 4 4 4 12 12 4 4 4 4 4 4 4
Distinct values 340 341 342 350 364 372 382 390 403 411 420 426 434 440 441 450 452 454 455 462
Frequency 4 4 4 8 8 8 4 12 4 4 16 4 4 8 4 8 4 4 4 8
Distinct values 490 504 518 520 548 578 585 609 611 633 635 640 650 663 684 685 694 702 715 732
Frequency 12 8 4 4 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 737 749 770 776 780 783 804 806 812 822 842 845 867 895 898 913 936 959 966 978
Frequency 4 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 990 1029 1035 1040 1048 1096 1156 1164 1170 1188 1218 1233 1283 1332 1342 1360 1362 1370 1372 1436
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 1445 1470 1482 1496 1504 1507 1512 1548 1554 1562 1576 1640 1642 1644 1730 1734 1782 1824 1827 1836
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 1862 1880 1892 2016 2023 2070 2076 2312 2332 2436 2486 2528 2566 2601 2614 2703 2720 2772 2790 2840
Frequency 4 4 4 4 4 4 4 4 4 4 8 8 4 4 4 4 4 4 4 4
Distinct values 2860 2870 2890 2971 2988 3022 3045 3072 3078 3096 3136 3147 3164 3179 3200 3206 3652 3654 3762 3834
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 3849 3986 4140 4263 4590 4630 4644 4872 4996 5132 5176 5184 5220 5346 5388 5406 5438 5481 5544 5562
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 5590 5670 5695 5754 5800 5868 5922 5924 5992 6090 6415 7030 7170 7401 7698 7821 8109 8398 8595 8860
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 8883 8981 9348 9656 9815 10056 10213 10264 10266 10286 10335 10346 10638 10689 10746 10782 10812 11178 11352 11390
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 11547 11999 13284 13515 13644 14310 14466 16200 16218 16536 16884 17084 17085 17694 18018 18326 18360 18600 18738 18921
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 19014 19912 20068 20146 20356 21134 21452 21624 22780 23998 25072 25281 25360 26670 27012 28475 30156 30198 30984 31320
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 32748 32892 33010 33280 34170 35997 37280 37434 37970 38392 38810 39615 39819 39865 46424 46550 47996 48900 49554 50562
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 53265 54294 54702 55532 56204 57330 57920 59995 68962 69326 71994 72780 72900 73618 73866 75843 78546 83670 84234 88041
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 88521 95395 95975 96852 97404 101124 106530 112225 123938 124062 126405 130434 130824 139264 139500 147120 147680 153474 153486 159795
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 161172 161388 165490 213060 215320 215840 224450 226908 227302 236449 248448 254658 255048 259662 260312 336675 348674 357670 358270 376995
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 377219 392286 392904 472898 476522 477104 498179 551126 551762 580868 580980 734628 855084 855120 1486374 1486898 1547802 2468188 2468918 3261094
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 3802324 3803166
Frequency 4 4
Sum of distinct value frequencies = 383*4 + 28*8 + 24*12 + 15*16 + 5*20 + 4*24 + 1*28 + 1*32 + 1*1816
= 4356
Number of SN-EN pairs for which the number of CNSAPs is greater than zero = 2*2 + 36*57 + 4*58 + 4*63
= 2540
Number of SN-EN pairs, with SN != EN, for which the number of CNSAPs equals zero = 1750
Number of possible SN-EN pairs with SN != EN = 65*66
= 4290
a = 23, b = 3
L C
3 8
4 16
5 32
6 44
7 164
8 196
9 528
10 812
11 1512
12 2240
13 3936
14 6236
15 10804
16 17516
17 29380
18 47632
19 78680
20 128352
21 211256
22 345540
23 566532
24 925420
25 1512004
26 2464940
27 4013572
28 6487040
29 10395924
30 15805904
31 23863128
32 30156188
33 40846532
34 39163628
35 45458076
36 33892912
37 31326032
38 19470296
39 13469208
40 7081036
41 3618988
42 1532116
43 574284
44 179888
45 46840
46 9456
47 1544
48 72
Total 333746444
Number of times each node is the starting node (SN) in a CNSAP of each length (L)
SN 0 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
L
3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0
4 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 0
5 1 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0
1 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0
0 0 1 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 0 1
6 0 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 0 0
0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0
0 0 0 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9
0 0 0
7 1 1 1 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 13 0 1 1
1 2 2 4 8 4 8 4 4 4 4 4 4 4 4 4 4 4 8 4 8 4
2 2 1 1 1 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 13 0
1 1 1
8 0 0 0 3 0 17 0 0 0 0 0 0 0 0 0 0 0 17 0 3 0 0
0 2 2 2 4 18 4 8 4 4 4 4 4 4 4 4 4 8 4 18 4 2
2 2 0 0 0 3 0 17 0 0 0 0 0 0 0 0 0 0 0 17 0 3
0 0 0
9 3 3 4 4 14 4 25 4 4 4 4 4 4 4 4 4 25 4 14 4 4 3
3 4 4 4 6 8 40 8 12 8 8 8 8 8 8 8 12 8 40 8 6 4
4 4 3 3 4 4 14 4 25 4 4 4 4 4 4 4 4 4 25 4 14 4
4 3 3
10 4 4 4 9 8 36 8 33 8 8 8 8 8 8 8 33 8 36 8 9 4 4
4 4 4 4 4 8 8 66 8 12 8 8 8 8 8 12 8 66 8 8 4 4
4 4 4 4 4 9 8 36 8 33 8 8 8 8 8 8 8 33 8 36 8 9
4 4 4
11 9 10 11 10 22 18 82 18 47 18 18 18 18 18 47 18 82 18 22 10 11 10
9 6 6 6 6 8 18 12 104 12 16 12 12 12 16 12 104 12 18 8 6 6
6 6 9 10 11 10 22 18 82 18 47 18 18 18 18 18 47 18 82 18 22 10
11 10 9
12 12 12 12 17 12 34 24 150 24 57 24 24 24 57 24 150 24 34 12 17 12 12
12 10 10 10 10 10 16 46 20 154 20 24 20 24 20 154 20 46 16 10 10 10
10 10 12 12 12 17 12 34 24 150 24 57 24 24 24 57 24 150 24 34 12 17
12 12 12
13 21 22 24 23 34 28 71 44 266 44 81 44 81 44 266 44 71 28 34 23 24 22
21 20 20 20 20 20 22 36 122 40 224 40 48 40 224 40 122 36 22 20 20 20
20 20 21 22 24 23 34 28 71 44 266 44 81 44 81 44 266 44 71 28 34 23
24 22 21
14 32 33 33 38 34 52 46 141 66 426 66 148 66 426 66 141 46 52 34 38 33 33
32 36 36 36 36 36 36 44 68 282 72 318 72 318 72 282 68 44 36 36 36 36
36 36 32 33 33 38 34 52 46 141 66 426 66 148 66 426 66 141 46 52 34 38
33 33 32
15 57 62 64 64 75 70 111 102 323 126 719 126 719 126 323 102 111 70 75 64 64 62
57 62 62 62 62 62 62 64 90 120 590 124 740 124 590 120 90 64 62 62 62 62
62 62 57 62 64 64 75 70 111 102 323 126 719 126 719 126 323 102 111 70 75 64
64 62 57
16 96 103 104 109 105 124 112 203 180 730 208 1796 208 730 180 203 112 124 105 109 104 103
96 102 102 102 102 102 102 102 112 194 200 1492 204 1492 200 194 112 102 102 102 102 102
102 102 96 103 104 109 105 124 112 203 180 730 208 1796 208 730 180 203 112 124 105 109
104 103 96
17 167 180 186 186 198 193 236 212 461 340 2513 372 2513 340 461 212 236 193 198 186 186 180
167 168 168 168 168 168 168 168 174 204 894 332 3588 332 894 204 174 168 168 168 168 168
168 168 167 180 186 186 198 193 236 212 461 340 2513 372 2513 340 461 212 236 193 198 186
186 180 167
18 280 297 304 310 306 325 314 459 354 2264 574 4776 574 2264 354 459 314 325 306 310 304 297
280 280 280 280 280 280 280 284 280 846 380 3720 552 3720 380 846 280 284 280 280 280 280
280 280 280 297 304 310 306 325 314 459 354 2264 574 4776 574 2264 354 459 314 325 306 310
304 297 280
19 473 502 516 520 532 528 632 550 2697 650 5455 962 5455 650 2697 550 632 528 532 520 516 502
473 474 474 474 474 474 478 474 1126 476 4836 708 3600 708 4836 476 1126 474 478 474 474 474
474 474 473 502 516 520 532 528 632 550 2697 650 5455 962 5455 650 2697 550 632 528 532 520
516 502 473
20 792 839 856 868 865 949 873 3480 912 8180 1108 4548 1108 8180 912 3480 873 949 865 868 856 839
792 806 806 806 806 810 806 1564 806 7328 816 4324 1012 4324 816 7328 806 1564 806 810 806 806
806 806 792 839 856 868 865 949 873 3480 912 8180 1108 4548 1108 8180 912 3480 873 949 865 868
856 839 792
21 1337 1422 1452 1464 1549 1476 4694 1499 13189 1536 5964 1308 5964 1536 13189 1499 4694 1476 1549 1464 1452 1422
1337 1368 1368 1368 1372 1368 2240 1368 10874 1364 8792 1060 1228 1060 8792 1364 10874 1368 2240 1368 1372 1368
1368 1368 1337 1422 1452 1464 1549 1476 4694 1499 13189 1536 5964 1308 5964 1536 13189 1499 4694 1476 1549 1464
1452 1422 1337
22 2256 2401 2448 2543 2473 6429 2482 20982 2470 11146 1578 4038 1578 11146 2470 20982 2482 6429 2473 2543 2448 2401
2256 2312 2312 2316 2312 3306 2312 15738 2308 17454 1860 1862 448 1862 1860 17454 2308 15738 2312 3306 2312 2316
2312 2312 2256 2401 2448 2543 2473 6429 2482 20982 2470 11146 1578 4038 1578 11146 2470 20982 2482 6429 2473 2543
2448 2401 2256
23 3817 4066 4229 4180 9016 4204 32637 4172 22267 2822 5311 1014 5311 2822 22267 4172 32637 4204 9016 4180 4229 4066
3817 3898 3902 3898 5022 3898 22360 3894 32696 3358 5140 660 168 660 5140 3358 32696 3894 22360 3898 5022 3898
3902 3898 3817 4066 4229 4180 9016 4204 32637 4172 22267 2822 5311 1014 5311 2822 22267 4172 32637 4204 9016 4180
4229 4066 3817
24 6448 6944 7008 12870 7073 49476 7029 43604 5177 9866 1344 3982 1344 9866 5177 43604 7029 49476 7073 12870 7008 6944
6448 6574 6570 7832 6570 31380 6566 58268 5934 13288 1698 352 36 352 1698 13288 5934 58268 6566 31380 6570 7832
6570 6574 6448 6944 7008 12870 7073 49476 7029 43604 5177 9866 1344 3982 1344 9866 5177 43604 7029 49476 7073 12870
7008 6944 6448
25 10976 11588 18776 11922 73461 11906 82422 9502 20762 2637 5176 1012 5176 2637 20762 9502 82422 11906 73461 11922 18776 11588
10976 11084 12492 11084 43766 11080 99498 10344 32026 3972 1286 100 4 100 1286 3972 32026 10344 99498 11080 43766 11084
12492 11084 10976 11588 18776 11922 73461 11906 82422 9502 20762 2637 5176 1012 5176 2637 20762 9502 82422 11906 73461 11922
18776 11588 10976
26 18380 27753 19964 107189 20089 149859 17053 44721 5598 9331 1270 4010 1270 9331 5598 44721 17053 149859 20089 107189 19964 27753
18380 20278 18716 61022 18712 163794 17864 72354 8612 4254 420 20 0 20 420 4254 8612 72354 17864 163794 18712 61022
18716 20278 18380 27753 19964 107189 20089 149859 17053 44721 5598 9331 1270 4010 1270 9331 5598 44721 17053 149859 20089 107189
19964 27753 18380
27 40641 33002 154337 33876 262860 30188 95824 11984 19100 2328 5206 1026 5206 2328 19100 11984 95824 30188 262860 33876 154337 33002
40641 31614 85540 31610 261324 30642 154168 17606 12976 1462 124 2 0 2 124 1462 12976 17606 154168 30642 261324 31610
85540 31614 40641 33002 154337 33876 262860 30188 95824 11984 19100 2328 5206 1026 5206 2328 19100 11984 95824 30188 262860 33876
154337 33002 40641
28 52372 219660 56808 446058 52709 201121 24829 40395 4749 9351 1289 4012 1289 9351 4749 40395 24829 201121 52709 446058 56808 219660
52372 121196 53390 405972 52294 311704 34394 36832 4426 596 22 0 0 0 22 596 4426 36832 34394 311704 52294 405972
53390 121196 52372 219660 56808 446058 52709 201121 24829 40395 4749 9351 1289 4012 1289 9351 4749 40395 24829 201121 52709 446058
56808 219660 52372
29 307351 94006 734644 91048 410792 49856 86664 10260 18972 2364 5214 1026 5214 2364 18972 10260 86664 49856 410792 91048 734644 94006
307351 90152 616746 88920 601434 64884 97854 12020 2438 144 2 0 0 0 2 144 2438 12020 97854 64884 601434 88920
616746 90152 307351 94006 734644 91048 410792 49856 86664 10260 18972 2364 5214 1026 5214 2364 18972 10260 86664 49856 410792 91048
734644 94006 307351
30 149228 1176646 155392 813408 96905 186939 22401 39549 4733 9379 1290 4012 1290 9379 4733 39549 22401 186939 96905 813408 155392 1176646
149228 919922 150824 1113226 119172 244518 29924 8886 704 24 0 0 0 0 0 24 704 8886 29924 244518 119172 1113226
150824 919922 149228 1176646 155392 813408 96905 186939 22401 39549 4733 9379 1290 4012 1290 9379 4733 39549 22401 186939 96905 813408
155392 1176646 149228
31 1823173 260182 1559323 182964 403324 48968 83284 9872 19053 2372 5213 1026 5213 2372 19053 9872 83284 48968 403324 182964 1559323 260182
1823173 255418 1985840 214446 577376 69406 29596 2826 172 2 0 0 0 0 0 2 172 2826 29596 69406 577376 214446
1985840 255418 1823173 260182 1559323 182964 403324 48968 83284 9872 19053 2372 5213 1026 5213 2372 19053 9872 83284 48968 403324 182964
1559323 260182 1823173
32 416224 2885319 335624 864261 105497 176069 20693 39708 4761 9379 1290 4012 1290 9379 4761 39708 20693 176069 105497 864261 335624 2885319
416224 3428220 379878 1294292 151894 91392 9794 936 26 0 0 0 0 0 0 0 26 936 9794 91392 151894 1294292
379878 3428220 416224 2885319 335624 864261 105497 176069 20693 39708 4761 9379 1290 4012 1290 9379 4761 39708 20693 176069 105497 864261
335624 2885319 416224
33 5013085 594312 1820748 221986 373657 43746 83370 9950 19050 2367 5212 1024 5212 2367 19050 9950 83370 43746 373657 221986 1820748 594312
5013085 664872 2766810 316872 264018 30244 4262 196 2 0 0 0 0 0 0 0 2 196 4262 30244 264018 316872
2766810 664872 5013085 594312 1820748 221986 373657 43746 83370 9950 19050 2367 5212 1024 5212 2367 19050 9950 83370 43746 373657 221986
1820748 594312 5013085
34 988120 3654965 451184 790620 92781 174938 20729 39707 4745 9372 1289 4012 1289 9372 4745 39707 20729 174938 92781 790620 451184 3654965
988120 5664258 635416 717994 85044 17070 1092 28 0 0 0 0 0 0 0 0 0 28 1092 17070 85044 717994
635416 5664258 988120 3654965 451184 790620 92781 174938 20729 39707 4745 9372 1289 4012 1289 9372 4745 39707 20729 174938 92781 790620
451184 3654965 988120
35 6485377 870002 1603000 195688 362844 42968 83242 9876 19021 2354 5206 1022 5206 2354 19021 9876 83242 42968 362844 195688 1603000 870002
6485377 1233290 1847200 221270 61912 4958 228 2 0 0 0 0 0 0 0 0 0 2 228 4958 61912 221270
1847200 1233290 6485377 870002 1603000 195688 362844 42968 83242 9876 19021 2354 5206 1022 5206 2354 19021 9876 83242 42968 362844 195688
1603000 870002 6485377
36 1520896 2872495 400908 701982 87417 171160 20369 39510 4698 9355 1282 4010 1282 9355 4698 39510 20369 171160 87417 701982 400908 2872495
1520896 4515216 539314 207032 19322 1388 30 0 0 0 0 0 0 0 0 0 0 0 30 1388 19322 207032
539314 4515216 1520896 2872495 400908 701982 87417 171160 20369 39510 4698 9355 1282 4010 1282 9355 4698 39510 20369 171160 87417 701982
400908 2872495 1520896
37 4296275 760374 1146510 170324 318494 41208 80088 9627 18887 2324 5192 1012 5192 2324 18887 9627 80088 41208 318494 170324 1146510 760374
4296275 1243636 645766 66756 6982 256 2 0 0 0 0 0 0 0 0 0 0 0 2 256 6982 66756
645766 1243636 4296275 760374 1146510 170324 318494 41208 80088 9627 18887 2324 5192 1012 5192 2324 18887 9627 80088 41208 318494 170324
1146510 760374 4296275
38 1241524 1486325 299216 479452 78521 141513 19201 37180 4553 9263 1264 3996 1264 9263 4553 37180 19201 141513 78521 479452 299216 1486325
1241524 1893886 209028 30582 1600 32 0 0 0 0 0 0 0 0 0 0 0 0 0 32 1600 30582
209028 1893886 1241524 1486325 299216 479452 78521 141513 19201 37180 4553 9263 1264 3996 1264 9263 4553 37180 19201 141513 78521 479452
299216 1486325 1241524
39 1561237 433162 551660 130072 194557 35624 61245 8930 17186 2238 5117 986 5117 2238 17186 8930 61245 35624 194557 130072 551660 433162
1561237 602814 120356 8098 292 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 292 8098
120356 602814 1561237 433162 551660 130072 194557 35624 61245 8930 17186 2238 5117 986 5117 2238 17186 8930 61245 35624 194557 130072
551660 433162 1561237
40 498272 481167 166648 200879 55217 75533 15914 25667 4138 8048 1210 3888 1210 8048 4138 25667 15914 75533 55217 200879 166648 481167
498272 434232 35010 1968 34 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 34 1968
35010 434232 498272 481167 166648 200879 55217 75533 15914 25667 4138 8048 1210 3888 1210 8048 4138 25667 15914 75533 55217 200879
166648 481167 498272
41 316505 152224 156688 63202 69048 22583 27958 7004 10454 1984 4225 928 4225 1984 10454 7004 27958 22583 69048 63202 156688 152224
316505 133636 10854 324 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 324
10854 133636 316505 152224 156688 63202 69048 22583 27958 7004 10454 1984 4225 928 4225 1984 10454 7004 27958 22583 69048 63202
156688 152224 316505
42 94308 91113 50188 47318 22369 22366 8809 9836 3016 4285 1048 2756 1048 4285 3016 9836 8809 22366 22369 47318 50188 91113
94308 51710 2244 36 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 36
2244 51710 94308 91113 50188 47318 22369 22366 8809 9836 3016 4285 1048 2756 1048 4285 3016 9836 8809 22366 22369 47318
50188 91113 94308
43 33577 26918 24135 14844 13245 7338 6814 3254 3381 1318 1926 758 1926 1318 3381 3254 6814 7338 13245 14844 24135 26918
33577 12518 364 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
364 12518 33577 26918 24135 14844 13245 7338 6814 3254 3381 1318 1926 758 1926 1318 3381 3254 6814 7338 13245 14844
24135 26918 33577
44 7740 8828 6560 5658 3922 3397 2178 1961 1122 1162 626 906 626 1162 1122 1961 2178 3397 3922 5658 6560 8828
7740 2692 38 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
38 2692 7740 8828 6560 5658 3922 3397 2178 1961 1122 1162 626 906 626 1162 1122 1961 2178 3397 3922 5658
6560 8828 7740
45 1567 1910 1684 1351 1178 908 801 588 544 396 416 332 416 396 544 588 801 908 1178 1351 1684 1910
1567 400 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 400 1567 1910 1684 1351 1178 908 801 588 544 396 416 332 416 396 544 588 801 908 1178 1351
1684 1910 1567
46 220 325 288 263 225 205 176 164 144 140 128 132 128 140 144 164 176 205 225 263 288 325
220 40 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 40 220 325 288 263 225 205 176 164 144 140 128 132 128 140 144 164 176 205 225 263
288 325 220
47 22 38 37 34 33 34 34 34 34 34 34 34 34 34 34 34 34 34 33 34 37 38
22 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 22 38 37 34 33 34 34 34 34 34 34 34 34 34 34 34 34 34 33 34
37 38 22
48 0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 1 0
Total 24892876 16159218 9731584 5597627 3121476 1702392 913476 484934 257148 140000 85100 69102 85100 140000 257148 484934 913476 1702392 3121476 5597627 9731584 16159218
24892876 21347214 10131960 4808902 2282444 1083334 514232 244178 116124 55602 27416 15174 11756 15174 27416 55602 116124 244178 514232 1083334 2282444 4808902
10131960 21347214 24892876 16159218 9731584 5597627 3121476 1702392 913476 484934 257148 140000 85100 69102 85100 140000 257148 484934 913476 1702392 3121476 5597627
9731584 16159218 24892876
Grand total = 1*11756 + 2*15174 + 2*27416 + 2*55602 + 2*69102 + 4*85100 + 2*116124 + 4*140000 + 2*244178 + 4*257148 + 4*484934 + 2*514232 + 4*913476 + 2*1083334 + 4*1702392 + 2*2282444 + 4*3121476 + 2*4808902 + 4*5597627 +
4*9731584 + 2*10131960 + 4*16159218 + 2*21347214 + 4*24892876
= 333746444
Number of times each node is the ending node (EN) in a CNSAP of each length (L)
EN 0 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
L
3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 2
4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 4
5 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 8
6 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 11
7 19 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
19 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 19 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
2 2 19
8 29 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
29 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 29 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
2 1 29
9 52 4 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 4
52 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 52 4 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
7 4 52
10 90 5 7 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 7 5
90 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 90 5 7 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11
7 5 90
11 158 9 14 17 23 24 24 24 24 24 24 24 24 24 24 24 24 24 23 17 14 9
158 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 158 9 14 17 23 24 24 24 24 24 24 24 24 24 24 24 24 24 23 17
14 9 158
12 265 11 17 22 25 33 34 34 34 34 34 34 34 34 34 34 34 33 25 22 17 11
265 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 265 11 17 22 25 33 34 34 34 34 34 34 34 34 34 34 34 33 25 22
17 11 265
13 445 21 31 36 46 53 63 64 64 64 64 64 64 64 64 64 63 53 46 36 31 21
445 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 445 21 31 36 46 53 63 64 64 64 64 64 64 64 64 64 63 53 46 36
31 21 445
14 741 34 46 55 60 76 89 101 102 102 102 102 102 102 102 101 89 76 60 55 46 34
741 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 741 34 46 55 60 76 89 101 102 102 102 102 102 102 102 101 89 76 60 55
46 34 741
15 1248 63 85 95 107 120 152 173 187 188 188 188 188 188 187 173 152 120 107 95 85 63
1248 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 1248 63 85 95 107 120 152 173 187 188 188 188 188 188 187 173 152 120 107 95
85 63 1248
16 2107 104 139 154 163 181 202 262 293 309 310 310 310 309 293 262 202 181 163 154 139 104
2107 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 2107 104 139 154 163 181 202 262 293 309 310 310 310 309 293 262 202 181 163 154
139 104 2107
17 3571 177 241 263 280 295 335 374 478 521 539 540 539 521 478 374 335 295 280 263 241 177
3571 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 3571 177 241 263 280 295 335 374 478 521 539 540 539 521 478 374 335 295 280 263
241 177 3571
18 6039 290 395 433 448 470 493 571 644 812 869 888 869 812 644 571 493 470 448 433 395 290
6039 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 6039 290 395 433 448 470 493 571 644 812 869 888 869 812 644 571 493 470 448 433
395 290 6039
19 10202 489 667 731 760 780 822 871 1029 1164 1419 1470 1419 1164 1029 871 822 780 760 731 667 489
10202 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 10202 489 667 731 760 780 822 871 1029 1164 1419 1470 1419 1164 1029 871 822 780 760 731
667 489 10202
20 17211 822 1113 1221 1259 1287 1314 1394 1491 1804 2021 2302 2021 1804 1491 1394 1314 1287 1259 1221 1113 822
17211 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 17211 822 1113 1221 1259 1287 1314 1394 1491 1804 2021 2302 2021 1804 1491 1394 1314 1287 1259 1221
1113 822 17211
21 29041 1397 1887 2065 2136 2168 2215 2266 2435 2606 3101 2992 3101 2606 2435 2266 2215 2168 2136 2065 1887 1397
29041 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 29041 1397 1887 2065 2136 2168 2215 2266 2435 2606 3101 2992 3101 2606 2435 2266 2215 2168 2136 2065
1887 1397 29041
22 49015 2362 3185 3479 3587 3638 3671 3754 3825 4044 3731 4188 3731 4044 3825 3754 3671 3638 3587 3479 3185 2362
49015 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 49015 2362 3185 3479 3587 3638 3671 3754 3825 4044 3731 4188 3731 4044 3825 3754 3671 3638 3587 3479
3185 2362 49015
23 82764 3995 5393 5883 6068 6142 6200 6226 6241 5524 5213 3966 5213 5524 6241 6226 6200 6142 6068 5883 5393 3995
82764 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 82764 3995 5393 5883 6068 6142 6200 6226 6241 5524 5213 3966 5213 5524 6241 6226 6200 6142 6068 5883
5393 3995 82764
24 139761 6736 9099 9925 10219 10339 10363 10270 9177 7966 4979 5042 4979 7966 9177 10270 10363 10339 10219 9925 9099 6736
139761 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 139761 6736 9099 9925 10219 10339 10363 10270 9177 7966 4979 5042 4979 7966 9177 10270 10363 10339 10219 9925
9099 6736 139761
25 236001 11365 15361 16759 17255 17409 17299 15855 13761 8352 6431 4304 6431 8352 13761 15855 17299 17409 17255 16759 15361 11365
236001 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 236001 11365 15361 16759 17255 17409 17299 15855 13761 8352 6431 4304 6431 8352 13761 15855 17299 17409 17255 16759
15361 11365 236001
26 398378 19174 25911 28276 29066 29132 27378 24290 15505 11056 5481 5176 5481 11056 15505 24290 27378 29132 29066 28276 25911 19174
398378 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 398378 19174 25911 28276 29066 29132 27378 24290 15505 11056 5481 5176 5481 11056 15505 24290 27378 29132 29066 28276
25911 19174 398378
27 671785 32377 43742 47700 48832 47028 42844 29340 21130 9744 6701 4338 6701 9744 21130 29340 42844 47028 48832 47700 43742 32377
671785 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 671785 32377 43742 47700 48832 47028 42844 29340 21130 9744 6701 4338 6701 9744 21130 29340 42844 47028 48832 47700
43742 32377 671785
28 1123561 54673 73808 80241 79819 74745 54823 40781 19169 11990 5561 5178 5561 11990 19169 40781 54823 74745 79819 80241 73808 54673
1123561 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1123561 54673 73808 80241 79819 74745 54823 40781 19169 11990 5561 5178 5561 11990 19169 40781 54823 74745 79819 80241
73808 54673 1123561
29 1861369 92290 124325 132355 128563 100677 77839 38551 24061 10065 6717 4336 6717 10065 24061 38551 77839 100677 128563 132355 124325 92290
1861369 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 1861369 92290 124325 132355 128563 100677 77839 38551 24061 10065 6717 4336 6717 10065 24061 38551 77839 100677 128563 132355
124325 92290 1861369
30 2881687 155473 206195 215272 180582 145690 76934 49156 20260 12082 5557 5176 5557 12082 20260 49156 76934 145690 180582 215272 206195 155473
2881687 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 2881687 155473 206195 215272 180582 145690 76934 49156 20260 12082 5557 5176 5557 12082 20260 49156 76934 145690 180582 215272
206195 155473 2881687
31 4455133 258142 337543 312538 266064 151146 99940 41862 24474 10066 6708 4330 6708 10066 24474 41862 99940 151146 266064 312538 337543 258142
4455133 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 4455133 258142 337543 312538 266064 151146 99940 41862 24474 10066 6708 4330 6708 10066 24474 41862 99940 151146 266064 312538
337543 258142 4455133
32 5482997 422641 500153 467254 289055 199641 86135 50717 20277 12049 5545 5166 5545 12049 20277 50717 86135 199641 289055 467254 500153 422641
5482997 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 5482997 422641 500153 467254 289055 199641 86135 50717 20277 12049 5545 5166 5545 12049 20277 50717 86135 199641 289055 467254
500153 422641 5482997
33 7556232 624082 753147 526398 387288 174381 104995 41943 24321 10003 6685 4314 6685 10003 24321 41943 104995 174381 387288 526398 753147 624082
7556232 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 7556232 624082 753147 526398 387288 174381 104995 41943 24321 10003 6685 4314 6685 10003 24321 41943 104995 174381 387288 526398
753147 624082 7556232
34 6562919 931615 856449 710078 340427 213373 85994 50042 19988 11944 5506 5144 5506 11944 19988 50042 85994 213373 340427 710078 856449 931615
6562919 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 6562919 931615 856449 710078 340427 213373 85994 50042 19988 11944 5506 5144 5506 11944 19988 50042 85994 213373 340427 710078
856449 931615 6562919
35 7819959 1015204 1145937 612678 415248 170743 101769 40572 23832 9824 6615 4274 6615 9824 23832 40572 101769 170743 415248 612678 1145937 1015204
7819959 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 7819959 1015204 1145937 612678 415248 170743 101769 40572 23832 9824 6615 4274 6615 9824 23832 40572 101769 170743 415248 612678
1145937 1015204 7819959
36 4816335 1322535 924815 732684 313159 197815 79460 47682 19165 11649 5391 5076 5391 11649 19165 47682 79460 197815 313159 732684 924815 1322535
4816335 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 4816335 1322535 924815 732684 313159 197815 79460 47682 19165 11649 5391 5076 5391 11649 19165 47682 79460 197815 313159 732684
924815 1322535 4816335
37 4663046 957050 1062285 492772 346960 141853 90677 36608 22434 9328 6419 4150 6419 9328 22434 36608 90677 141853 346960 492772 1062285 957050
4663046 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 4663046 957050 1062285 492772 346960 141853 90677 36608 22434 9328 6419 4150 6419 9328 22434 36608 90677 141853 346960 492772
1062285 957050 4663046
38 2203197 1036887 616463 506184 214015 152111 62412 41160 16827 10817 5067 4868 5067 10817 16827 41160 62412 152111 214015 506184 616463 1036887
2203197 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 2203197 1036887 616463 506184 214015 152111 62412 41160 16827 10817 5067 4868 5067 10817 16827 41160 62412 152111 214015 506184
616463 1036887 2203197
39 1588289 529530 566851 261894 206628 87745 65069 26968 18619 7939 5870 3798 5870 7939 18619 26968 65069 87745 206628 261894 566851 529530
1588289 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 1588289 529530 566851 261894 206628 87745 65069 26968 18619 7939 5870 3798 5870 7939 18619 26968 65069 87745 206628 261894
566851 529530 1588289
40 609127 426081 252689 214644 99031 80345 34862 27124 11463 8582 4166 4290 4166 8582 11463 27124 34862 80345 99031 214644 252689 426081
609127 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 609127 426081 252689 214644 99031 80345 34862 27124 11463 8582 4166 4290 4166 8582 11463 27124 34862 80345 99031 214644
252689 426081 609127
41 304208 170382 166619 88318 74072 35879 29895 13455 11076 4972 4436 2868 4436 4972 11076 13455 29895 35879 74072 88318 166619 170382
304208 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 304208 170382 166619 88318 74072 35879 29895 13455 11076 4972 4436 2868 4436 4972 11076 13455 29895 35879 74072 88318
166619 170382 304208
42 93905 89715 59813 50530 28523 24031 12456 10588 5096 4558 2376 2876 2376 4558 5096 10588 12456 24031 28523 50530 59813 89715
93905 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 93905 89715 59813 50530 28523 24031 12456 10588 5096 4558 2376 2876 2376 4558 5096 10588 12456 24031 28523 50530
59813 89715 93905
43 30859 28132 25349 16710 14046 8647 7298 4162 3638 1986 2070 1346 2070 1986 3638 4162 7298 8647 14046 16710 25349 28132
30859 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 30859 28132 25349 16710 14046 8647 7298 4162 3638 1986 2070 1346 2070 1986 3638 4162 7298 8647 14046 16710
25349 28132 30859
44 7093 8907 6919 5876 4215 3559 2422 2076 1334 1254 822 990 822 1254 1334 2076 2422 3559 4215 5876 6919 8907
7093 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 7093 8907 6919 5876 4215 3559 2422 2076 1334 1254 822 990 822 1254 1334 2076 2422 3559 4215 5876
6919 8907 7093
45 1426 1930 1717 1390 1204 948 828 628 572 436 444 372 444 436 572 628 828 948 1204 1390 1717 1930
1426 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 1426 1930 1717 1390 1204 948 828 628 572 436 444 372 444 436 572 628 828 948 1204 1390
1717 1930 1426
46 203 327 291 264 229 210 180 168 148 144 132 136 132 144 148 168 180 210 229 264 291 327
203 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 203 327 291 264 229 210 180 168 148 144 132 136 132 144 148 168 180 210 229 264
291 327 203
47 21 38 37 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 37 38
21 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 21 38 37 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34
37 38 21
48 0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 1 0
Total 53710513 8205073 7788750 5545252 3509522 2082774 1187546 660172 363234 204062 127354 104676 127354 204062 363234 660172 1187546 2082774 3509522 5545252 7788750 8205073
53710513 42 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 42 53710513 8205073 7788750 5545252 3509522 2082774 1187546 660172 363234 204062 127354 104676 127354 204062 363234 660172 1187546 2082774 3509522 5545252
7788750 8205073 53710513
Grand total = 2*42 + 2*104676 + 4*127354 + 4*204062 + 4*363234 + 4*660172 + 4*1187546 + 4*2082774 + 4*3509522 + 4*5545252 + 4*7788750 + 4*8205073 + 4*53710513
= 333746444
Number of times each node (N) is present in a CNSAP of each length (L)
N 0 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
L
3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
2 2 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 2
4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
4 4 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
8 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 4 4
5 9 7 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 7
9 8 16 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10
16 8 9 7 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 7 9
6 11 7 5 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 5 7
11 12 22 18 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 18
22 12 11 7 5 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9
5 7 11
7 25 24 23 21 23 10 10 10 10 10 10 10 10 10 10 10 10 10 23 21 23 24
25 26 38 40 32 20 12 8 8 8 8 8 8 8 8 8 8 8 12 20 32 40
38 26 25 24 23 21 23 10 10 10 10 10 10 10 10 10 10 10 10 10 23 21
23 24 25
8 32 27 24 31 28 27 10 10 10 10 10 10 10 10 10 10 10 27 28 31 24 27
32 36 62 50 48 46 24 16 12 12 12 12 12 12 12 12 12 16 24 46 48 50
62 36 32 27 24 31 28 27 10 10 10 10 10 10 10 10 10 10 10 27 28 31
24 27 32
9 68 67 72 93 92 76 71 50 50 50 50 50 50 50 50 50 71 76 92 93 72 67
68 76 118 96 104 100 96 56 48 44 44 44 44 44 44 44 48 56 96 100 104 96
118 76 68 67 72 93 92 76 71 50 50 50 50 50 50 50 50 50 71 76 92 93
72 67 68
10 108 100 99 135 156 154 112 103 78 78 78 78 78 78 78 103 112 154 156 135 99 100
108 120 208 176 158 182 180 162 96 88 84 84 84 84 84 88 96 162 180 182 158 176
208 120 108 100 99 135 156 154 112 103 78 78 78 78 78 78 78 103 112 154 156 135
99 100 108
11 201 191 194 252 302 314 308 222 209 180 180 180 180 180 209 222 308 314 302 252 194 191
201 218 358 308 284 304 348 326 280 180 172 168 168 168 172 180 280 326 348 304 284 308
358 218 201 191 194 252 302 314 308 222 209 180 180 180 180 180 209 222 308 314 302 252
194 191 201
12 320 289 280 367 422 475 481 474 318 301 268 268 268 301 318 474 481 475 422 367 280 289
320 346 590 508 466 474 530 594 524 434 292 284 280 284 292 434 524 594 530 474 466 508
590 346 320 289 280 367 422 475 481 474 318 301 268 268 268 301 318 474 481 475 422 367
280 289 320
13 557 518 513 661 770 852 912 893 882 622 601 564 601 622 882 893 912 852 770 661 513 518
557 600 992 856 802 810 898 990 1060 890 740 548 544 548 740 890 1060 990 898 810 802 856
992 600 557 518 513 661 770 852 912 893 882 622 601 564 601 622 882 893 912 852 770 661
513 518 557
14 910 842 816 1053 1198 1332 1447 1530 1441 1416 1010 1026 1010 1416 1441 1530 1447 1332 1198 1053 816 842
910 984 1656 1414 1340 1384 1476 1624 1758 1814 1456 1234 992 1234 1456 1814 1758 1624 1476 1384 1340 1414
1656 984 910 842 816 1053 1198 1332 1447 1530 1441 1416 1010 1026 1010 1416 1441 1530 1447 1332 1198 1053
816 842 910
15 1566 1485 1472 1876 2141 2341 2593 2781 2880 2619 2607 2034 2607 2619 2880 2781 2593 2341 2141 1876 1472 1485
1566 1696 2824 2412 2284 2410 2598 2792 3058 3208 3204 2526 2524 2526 3204 3208 3058 2792 2598 2410 2284 2412
2824 1696 1566 1485 1472 1876 2141 2341 2593 2781 2880 2619 2607 2034 2607 2619 2880 2781 2593 2341 2141 1876
1472 1485 1566
16 2618 2468 2428 3103 3496 3803 4105 4536 4834 4989 4391 5132 4391 4989 4834 4536 4105 3803 3496 3103 2428 2468
2618 2840 4774 4070 3844 4046 4458 4770 5062 5548 5650 5860 5064 5860 5650 5548 5062 4770 4458 4046 3844 4070
4774 2840 2618 2468 2428 3103 3496 3803 4105 4536 4834 4989 4391 5132 4391 4989 4834 4536 4105 3803 3496 3103
2428 2468 2618
17 4472 4238 4206 5361 6062 6536 7057 7643 8420 8858 10130 8990 10130 8858 8420 7643 7057 6536 6062 5361 4206 4238
4472 4846 8110 6938 6532 6872 7566 8208 8744 9258 10542 10938 12440 10938 10542 9258 8744 8208 7566 6872 6532 6938
8110 4846 4472 4238 4206 5361 6062 6536 7057 7643 8420 8858 10130 8990 10130 8858 8420 7643 7057 6536 6062 5361
4206 4238 4472
18 7514 7067 6968 8903 10028 10801 11502 12489 13528 16259 17021 19700 17021 16259 13528 12489 11502 10801 10028 8903 6968 7067
7514 8138 13664 11690 10998 11494 12684 13812 14748 16166 17774 22306 22708 22306 17774 16166 14748 13812 12684 11494 10998 11690
13664 8138 7514 7067 6968 8903 10028 10801 11502 12489 13528 16259 17021 19700 17021 16259 13528 12489 11502 10801 10028 8903
6968 7067 7514
19 12731 11993 11853 15137 17101 18380 19652 21028 24820 27029 33551 33768 33551 27029 24820 21028 19652 18380 17101 15137 11853 11993
12731 13778 23078 19762 18600 19434 21316 23314 25658 27960 34496 38452 42588 38452 34496 27960 25658 23314 21316 19434 18600 19762
23078 13778 12731 11993 11853 15137 17101 18380 19652 21028 24820 27029 33551 33768 33551 27029 24820 21028 19652 18380 17101 15137
11853 11993 12731
20 21426 20141 19844 25353 28604 30855 32776 37555 40688 51932 55029 58390 55029 51932 40688 37555 32776 30855 28604 25353 19844 20141
21426 23190 38886 33274 31352 32744 35896 39814 43950 53924 60420 68752 69044 68752 60420 53924 43950 39814 35896 32744 31352 33274
38886 23190 21426 20141 19844 25353 28604 30855 32776 37555 40688 51932 55029 58390 55029 51932 40688 37555 32776 30855 28604 25353
19844 20141 21426
21 36219 34122 33675 42992 48613 52356 58958 63443 80749 85810 94605 95570 94605 85810 80749 63443 58958 52356 48613 42992 33675 34122
36219 39204 65680 56196 52980 55446 61572 68060 83562 95432 111054 112924 114848 112924 111054 95432 83562 68060 61572 55446 52980 56196
65680 39204 36219 34122 33675 42992 48613 52356 58958 63443 80749 85810 94605 95570 94605 85810 80749 63443 58958 52356 48613 42992
33675 34122 36219
22 61086 57534 56740 72502 81830 92099 99029 125876 133652 149841 152537 154934 152537 149841 133652 125876 99029 92099 81830 72502 56740 57534
61086 66136 110868 94830 89414 94612 105050 128404 147410 177198 185034 188652 185892 188652 185034 177198 147410 128404 105050 94612 89414 94830
110868 66136 61086 57534 56740 72502 81830 92099 99029 125876 133652 149841 152537 154934 152537 149841 133652 125876 99029 92099 81830 72502
56740 57534 61086
23 103224 97303 96127 122720 143359 155724 196889 210175 241796 246379 248746 245804 248746 246379 241796 210175 196889 155724 143359 122720 96127 97303
103224 111760 187308 160236 152168 160954 196164 226974 279670 297520 310066 307584 308052 307584 310066 297520 279670 226974 196164 160954 152168 160236
187308 111760 103224 97303 96127 122720 143359 155724 196889 210175 241796 246379 248746 245804 248746 246379 241796 210175 196889 155724 143359 122720
96127 97303 103224
24 174236 164241 162132 212833 241721 306072 327930 388579 398835 404187 396274 395832 396274 404187 398835 388579 327930 306072 241721 212833 162132 164241
174236 188648 316250 271808 258096 296506 345294 437766 475118 504888 502056 505248 506900 505248 502056 504888 475118 437766 345294 296506 258096 271808
316250 188648 174236 164241 162132 212833 241721 306072 327930 388579 398835 404187 396274 395832 396274 404187 398835 388579 327930 306072 241721 212833
162132 164241 174236
25 294357 277427 280886 359652 471470 511767 622879 643897 661414 649249 642395 635476 642395 649249 661414 643897 622879 511767 471470 359652 280886 277427
294357 318592 535418 460400 468604 520400 674886 751368 820764 818320 823062 827270 829408 827270 823062 818320 820764 751368 674886 520400 468604 460400
535418 318592 294357 277427 280886 359652 471470 511767 622879 643897 661414 649249 642395 635476 642395 649249 661414 643897 622879 511767 471470 359652
280886 277427 294357
26 496736 476307 474019 695781 788508 993248 1032527 1078391 1063353 1050913 1033010 1031420 1033010 1050913 1063353 1078391 1032527 993248 788508 695781 474019 476307
496736 539248 905210 819406 818004 1028002 1169144 1321502 1332236 1343908 1344006 1349344 1354408 1349344 1344006 1343908 1332236 1321502 1169144 1028002 818004 819406
905210 539248 496736 476307 474019 695781 788508 993248 1032527 1078391 1063353 1050913 1033010 1031420 1033010 1050913 1063353 1078391 1032527 993248 788508 695781
474019 476307 496736
27 847489 804032 923237 1165636 1562818 1648679 1757451 1740408 1720981 1687504 1678347 1670686 1678347 1687504 1720981 1740408 1757451 1648679 1562818 1165636 923237 804032
847489 909864 1579324 1416918 1614274 1795650 2099688 2151786 2190372 2186830 2196364 2200684 2195236 2200684 2196364 2186830 2190372 2151786 2099688 1795650 1614274 1416918
1579324 909864 847489 804032 923237 1165636 1562818 1648679 1757451 1740408 1720981 1687504 1678347 1670686 1678347 1687504 1720981 1740408 1757451 1648679 1562818 1165636
923237 804032 847489
28 1410857 1509772 1538084 2353800 2583941 2848545 2834593 2806449 2742439 2720298 2703575 2705976 2703575 2720298 2742439 2806449 2834593 2848545 2583941 2353800 1538084 1509772
1410857 1588276 2685648 2723662 2812316 3278750 3418738 3532398 3528466 3551840 3562014 3550650 3550240 3550650 3562014 3551840 3528466 3532398 3418738 3278750 2812316 2723662
2685648 1588276 1410857 1509772 1538084 2353800 2583941 2848545 2834593 2806449 2742439 2720298 2703575 2705976 2703575 2720298 2742439 2806449 2834593 2848545 2583941 2353800
1538084 1509772 1410857
29 2560490 2500148 3221476 3870618 4544072 4585145 4554442 4434533 4385730 4348310 4347359 4341624 4347359 4348310 4385730 4434533 4554442 4585145 4544072 3870618 3221476 2500148
2560490 2639832 4946214 4687930 5196618 5339068 5617520 5633312 5688140 5710106 5699768 5694302 5683636 5694302 5699768 5710106 5688140 5633312 5617520 5339068 5196618 4687930
4946214 2639832 2560490 2500148 3221476 3870618 4544072 4585145 4554442 4434533 4385730 4348310 4347359 4341624 4347359 4348310 4385730 4434533 4554442 4585145 4544072 3870618
3221476 2500148 2560490
30 3813615 4906088 5077193 6767749 7074928 7119104 6890969 6782152 6699336 6691111 6680978 6686536 6680978 6691111 6699336 6782152 6890969 7119104 7074928 6767749 5077193 4906088
3813615 4775414 7895564 8194052 8007662 8384522 8473110 8634910 8694200 8685842 8672954 8650596 8653504 8650596 8672954 8685842 8694200 8634910 8473110 8384522 8007662 8194052
7895564 4775414 3813615 4906088 5077193 6767749 7074928 7119104 6890969 6782152 6699336 6691111 6680978 6686536 6680978 6691111 6699336 6782152 6890969 7119104 7074928 6767749
5077193 4906088 3813615
31 7493894 7599910 9238205 10465462 10984050 10675304 10440897 10247002 10212543 10186199 10188854 10180388 10188854 10186199 10212543 10247002 10440897 10675304 10984050 10465462 9238205 7599910
7493894 7423542 13841028 12760026 12761446 12548448 12905430 13078918 13122608 13109166 13067478 13077058 13076616 13077058 13067478 13109166 13122608 13078918 12905430 12548448 12761446 12760026
13841028 7423542 7493894 7599910 9238205 10465462 10984050 10675304 10440897 10247002 10212543 10186199 10188854 10180388 10188854 10186199 10212543 10247002 10440897 10675304 10984050 10465462
9238205 7599910 7493894
32 8553015 12163063 12598604 14429318 14241216 13853947 13421004 13330481 13280319 13281742 13251074 13245902 13251074 13281742 13280319 13330481 13421004 13853947 14241216 14429318 12598604 12163063
8553015 11615392 17232078 16680080 15549298 15980276 16427288 16613096 16585696 16474114 16486802 16523542 16555756 16523542 16486802 16474114 16585696 16613096 16427288 15980276 15549298 16680080
17232078 11615392 8553015 12163063 12598604 14429318 14241216 13853947 13421004 13330481 13280319 13281742 13251074 13245902 13251074 13281742 13280319 13330481 13421004 13853947 14241216 14429318
12598604 12163063 8553015
33 16139515 16992187 18638752 19701259 19597546 18769240 18431703 18269596 18284921 18252695 18237030 18219080 18237030 18252695 18284921 18269596 18431703 18769240 19597546 19701259 18638752 16992187
16139515 16135662 26257524 22426762 21334918 21554808 22297230 22528148 22377350 22322238 22318438 22373534 22386396 22373534 22318438 22322238 22377350 22528148 22297230 21554808 21334918 22426762
26257524 16135662 16139515 16992187 18638752 19701259 19597546 18769240 18431703 18269596 18284921 18252695 18237030 18219080 18237030 18252695 18284921 18269596 18431703 18769240 19597546 19701259
18638752 16992187 16139515
34 14131603 19695429 19791136 20433144 19295583 18657365 18250313 18242855 18176515 18156965 18127288 18129756 18127288 18156965 18176515 18242855 18250313 18657365 19295583 20433144 19791136 19695429
14131603 18677416 22594184 20693440 19815108 20954146 21551204 21379704 21317060 21313952 21387852 21370908 21361108 21370908 21387852 21313952 21317060 21379704 21551204 20954146 19815108 20693440
22594184 18677416 14131603 19695429 19791136 20433144 19295583 18657365 18250313 18242855 18176515 18156965 18127288 18129756 18127288 18156965 18176515 18242855 18250313 18657365 19295583 20433144
19791136 19695429 14131603
35 21562145 23409320 24185832 23755212 22973107 21906082 21716503 21609918 21612867 21553688 21542716 21532454 21542716 21553688 21612867 21609918 21716503 21906082 22973107 23755212 24185832 23409320
21562145 22212928 28792522 23201324 22811546 24366744 24868506 24834454 24636136 24717672 24756218 24761948 24738196 24761948 24756218 24717672 24636136 24834454 24868506 24366744 22811546 23201324
28792522 22212928 21562145 23409320 24185832 23755212 22973107 21906082 21716503 21609918 21612867 21553688 21542716 21532454 21542716 21553688 21612867 21609918 21716503 21906082 22973107 23755212
24185832 23409320 21562145
36 16170097 20665948 19641314 18971272 17445833 16965315 16651617 16654707 16558557 16540568 16518167 16523310 16518167 16540568 16558557 16654707 16651617 16965315 17445833 18971272 19641314 20665948
16170097 19490378 17645198 16326420 17020454 18125900 18476982 18245766 18344798 18355336 18385094 18373478 18385024 18373478 18385094 18355336 18344798 18245766 18476982 18125900 17020454 16326420
17645198 19490378 16170097 20665948 19641314 18971272 17445833 16965315 16651617 16654707 16558557 16540568 16518167 16523310 16518167 16540568 16558557 16654707 16651617 16965315 17445833 18971272
19641314 20665948 16170097
37 17564764 19205851 19275083 17730444 16878860 16012604 16012007 15881457 15857596 15800484 15801545 15794484 15801545 15800484 15857596 15881457 16012007 16012604 16878860 17730444 19275083 19205851
17564764 18442696 17410942 14094536 15162574 16958528 16810646 16840304 16804456 16915438 16900510 16905996 16898184 16905996 16900510 16915438 16804456 16840304 16810646 16958528 15162574 14094536
17410942 18442696 17564764 19205851 19275083 17730444 16878860 16012604 16012007 15881457 15857596 15800484 15801545 15794484 15801545 15800484 15857596 15881457 16012007 16012604 16878860 17730444
19275083 19205851 17564764
38 11792911 13807160 12580128 11705784 10585800 10399242 10149172 10142015 10049656 10043195 10022394 10026514 10022394 10043195 10049656 10142015 10149172 10399242 10585800 11705784 12580128 13807160
11792911 13104462 8393376 8304860 9632184 10118582 10416770 10311680 10454166 10442202 10474878 10464720 10472632 10464720 10474878 10442202 10454166 10311680 10416770 10118582 9632184 8304860
8393376 13104462 11792911 13807160 12580128 11705784 10585800 10399242 10149172 10142015 10049656 10043195 10022394 10026514 10022394 10043195 10049656 10142015 10149172 10399242 10585800 11705784
12580128 13807160 11792911
39 8935376 9595068 9398479 8253120 7808231 7354408 7394978 7259309 7249892 7209254 7211383 7201260 7211383 7209254 7249892 7259309 7394978 7354408 7808231 8253120 9398479 9595068
8935376 9367838 5797292 5202462 6244998 7153966 6927580 7134080 7125018 7193662 7173624 7193842 7189876 7193842 7173624 7193662 7125018 7134080 6927580 7153966 6244998 5202462
5797292 9367838 8935376 9595068 9398479 8253120 7808231 7354408 7394978 7259309 7249892 7209254 7211383 7201260 7211383 7209254 7249892 7259309 7394978 7354408 7808231 8253120
9398479 9595068 8935376
40 5135093 5613607 5063838 4610065 4141489 4097858 3954116 3953003 3891559 3892947 3875111 3879618 3875111 3892947 3891559 3953003 3954116 4097858 4141489 4610065 5063838 5613607
5135093 5426124 2292902 2578376 3331066 3464654 3668918 3638448 3749050 3732200 3762774 3755980 3766476 3755980 3762774 3732200 3749050 3638448 3668918 3464654 3331066 2578376
2292902 5426124 5135093 5613607 5063838 4610065 4141489 4097858 3954116 3953003 3891559 3892947 3875111 3879618 3875111 3892947 3891559 3953003 3954116 4097858 4141489 4610065
5063838 5613607 5135093
41 2805773 2919503 2789774 2413559 2275141 2139918 2147262 2079936 2082569 2058111 2061118 2052760 2061118 2058111 2082569 2079936 2147262 2139918 2275141 2413559 2789774 2919503
2805773 2897498 1037084 1174268 1560418 1787666 1748984 1874378 1856460 1901014 1893652 1909124 1901240 1909124 1893652 1901014 1856460 1874378 1748984 1787666 1560418 1174268
1037084 2897498 2805773 2919503 2789774 2413559 2275141 2139918 2147262 2079936 2082569 2058111 2061118 2052760 2061118 2058111 2082569 2079936 2147262 2139918 2275141 2413559
2789774 2919503 2805773
42 1274287 1320909 1207409 1085951 984738 971307 929367 927153 904787 906730 897030 900954 897030 906730 904787 927153 929367 971307 984738 1085951 1207409 1320909
1274287 1307928 317868 455112 642534 676536 743872 746888 787058 781124 799684 794576 801932 794576 799684 781124 787058 746888 743872 676536 642534 455112
317868 1307928 1274287 1320909 1207409 1085951 984738 971307 929367 927153 904787 906730 897030 900954 897030 906730 904787 927153 929367 971307 984738 1085951
1207409 1320909 1274287
43 503247 507391 479134 421335 396272 376648 372515 358773 358834 351248 352938 349284 352938 351248 358834 358773 372515 376648 396272 421335 479134 507391
503247 511304 89978 149188 213764 243696 253700 278022 277548 292008 289256 296312 292752 296312 289256 292008 277548 278022 253700 243696 213764 149188
89978 511304 503247 507391 479134 421335 396272 376648 372515 358773 358834 351248 352938 349284 352938 351248 358834 358773 372515 376648 396272 421335
479134 507391 503247
44 165207 164987 154308 139612 129621 126713 121327 120060 116556 116628 114460 115580 114460 116628 116556 120060 121327 126713 129621 139612 154308 164987
165207 166862 18506 40432 60300 66342 76166 79032 85372 85820 89868 88700 91196 88700 89868 85820 85372 79032 76166 66342 60300 40432
18506 166862 165207 164987 154308 139612 129621 126713 121327 120060 116556 116628 114460 115580 114460 116628 116556 120060 121327 126713 129621 139612
154308 164987 165207
45 44446 43918 41810 38067 36143 34883 34004 32964 32660 31876 32020 31524 32020 31876 32660 32964 34004 34883 36143 38067 41810 43918
44446 44682 2998 8670 12986 15130 17196 19000 19912 21368 21416 22488 21896 22488 21416 21368 19912 19000 17196 15130 12986 8670
2998 44682 44446 43918 41810 38067 36143 34883 34004 32964 32660 31876 32020 31524 32020 31876 32660 32964 34004 34883 36143 38067
41810 43918 44446
46 9286 9047 8686 8085 7723 7552 7294 7192 7006 6976 6862 6904 6862 6976 7006 7192 7294 7552 7723 8085 8686 9047
9286 9308 232 1384 2100 2468 2988 3232 3628 3744 4012 4000 4140 4000 4012 3744 3628 3232 2988 2468 2100 1384
232 9308 9286 9047 8686 8085 7723 7552 7294 7192 7006 6976 6862 6904 6862 6976 7006 7192 7294 7552 7723 8085
8686 9047 9286
47 1540 1503 1469 1395 1364 1338 1316 1298 1284 1274 1268 1266 1268 1274 1284 1298 1316 1338 1364 1395 1469 1503
1540 1542 4 148 216 280 332 376 412 440 460 472 476 472 460 440 412 376 332 280 216 148
4 1542 1540 1503 1469 1395 1364 1338 1316 1298 1284 1274 1268 1266 1268 1274 1284 1298 1316 1338 1364 1395
1469 1503 1540
48 72 72 70 68 68 68 68 68 68 68 68 68 68 68 68 68 68 68 68 68 70 72
72 72 0 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4
0 72 72 72 70 68 68 68 68 68 68 68 68 68 68 68 68 68 68 68 68 68
70 72 72
Total 142133154 164591316 167006402 169889790 165394468 160738487 158492166 157481014 156904642 156538603 156344088 156285164 156344088 156538603 156904642 157481014 158492166 160738487 165394468 169889790 167006402 164591316
142133154 158069528 181046608 163064556 165702914 175052412 179443048 180588500 180891680 181152924 181353296 181455156 181482528 181455156 181353296 181152924 180891680 180588500 179443048 175052412 165702914 163064556
181046608 158069528 142133154 164591316 167006402 169889790 165394468 160738487 158492166 157481014 156904642 156538603 156344088 156285164 156344088 156538603 156904642 157481014 158492166 160738487 165394468 169889790
167006402 164591316 142133154
Grand total = 4*142133154 + 2*156285164 + 4*156344088 + 4*156538603 + 4*156904642 + 4*157481014 + 2*158069528 + 4*158492166 + 4*160738487 + 2*163064556 + 4*164591316 + 4*165394468 + 2*165702914 + 4*167006402 + 4*169889790 +
2*175052412 + 2*179443048 + 2*180588500 + 2*180891680 + 2*181046608 + 2*181152924 + 2*181353296 + 2*181455156 + 1*181482528
= 11371750620
Number of CNSAPs for each starting node (SN) and ending node (EN) pair
SN 0 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
EN
0 0 0 42 82 122 164 310 678 1460 2962 5782 11158 21606 41968 81194 155514 294056 548110 1004578 1801210 3131698 5200668 8011806 0 2 2 4
10 22 46 96 202 426 898 1892 3986 8398 17694 37280 78546 165490 348674 734628 1547802 3261094 6870862 22 2 4 25 82 192 404 776
1448 2790 5552 11096 21870 42436 81464 155220 293276 547434 1004636 1802052 3132746 5201416 8012348
1 0 0 0 21 3 21 38 119 259 483 864 1629 3223 6417 12526 23919 44975 83591 153208 274981 478427 794637 1224166 21 0 1 1
1 3 7 15 31 65 137 289 609 1283 2703 5695 11999 25281 53265 112225 236449 498179 1049623 0 0 0 0 19 55 74 95
177 397 872 1773 3417 6475 12322 23551 44749 83769 153728 275469 478557 794431 1223754
2 40 0 0 0 40 6 40 72 224 486 904 1612 3024 5942 11736 22704 42904 79638 145560 260868 453816 753990 1161736 20 20 0 2
2 2 6 14 30 62 130 274 578 1218 2566 5406 11390 23998 50562 106530 224450 472898 996358 0 0 0 0 0 36 104 140
180 334 744 1624 3284 6294 11848 22356 42268 79230 145800 261648 454604 754438 1161960
3 57 57 0 0 0 57 9 57 102 315 681 1263 2244 4185 8157 15957 30534 56955 103989 185907 322980 536505 826689 19 19 19 0
3 3 3 9 21 45 93 195 411 867 1827 3849 8109 17085 35997 75843 159795 336675 709347 19 0 0 0 0 0 51 147
198 255 471 1041 2256 4533 8631 16119 30102 56151 103443 186093 323760 537405 827643
4 72 54 72 0 0 0 72 12 72 128 392 844 1560 2760 5112 9868 19080 36016 66072 118028 204632 339544 523048 54 18 18 18
0 4 4 4 12 28 60 124 260 548 1156 2436 5132 10812 22780 47996 101124 213060 448900 72 36 0 0 0 0 0 64
184 248 320 588 1288 2768 5520 10428 19288 35560 65200 117388 204648 340064 523872
5 102 85 51 85 0 0 0 85 15 85 150 455 975 1795 3160 5805 11075 21105 39150 70255 121755 201735 310560 119 51 17 17
17 0 5 5 5 15 35 75 155 325 685 1445 3045 6415 13515 28475 59995 126405 266325 170 119 51 0 0 0 0 0
75 215 290 375 685 1485 3160 6245 11685 21355 38730 69415 121065 201465 310560
6 224 128 96 48 96 0 0 0 96 18 96 168 504 1074 1968 3444 6264 11778 22032 39936 69504 115170 177216 240 112 48 16
16 16 0 6 6 6 18 42 90 186 390 822 1734 3654 7698 16218 34170 71994 151686 320 224 160 64 0 0 0 0
0 84 240 324 420 762 1632 3432 6708 12402 22320 39612 68796 114474 176544
7 525 315 150 105 45 105 0 0 0 105 21 105 182 539 1141 2079 3612 6489 11977 21861 38374 63819 98273 465 225 105 45
15 15 15 0 7 7 7 21 49 105 217 455 959 2023 4263 8981 18921 39865 83993 555 375 270 195 75 0 0 0
0 0 91 259 350 455 819 1729 3584 6909 12579 22183 38206 63343 97615
8 1120 714 392 168 112 42 112 0 0 0 112 24 112 192 560 1176 2128 3664 6480 11672 20592 34464 53200 910 434 210 98
42 14 14 14 0 8 8 8 24 56 120 248 520 1096 2312 4872 10264 21624 45560 1008 658 420 308 224 84 0 0
0 0 0 96 272 368 480 856 1776 3616 6848 12216 20944 34512 53056
9 2184 1443 871 455 182 117 39 117 0 0 0 117 27 117 198 567 1179 2115 3600 6237 10863 18225 28206 1781 845 403 195
91 39 13 13 13 0 9 9 9 27 63 135 279 585 1233 2601 5481 11547 24327 1976 1261 741 455 338 247 91 0
0 0 0 0 99 279 378 495 873 1773 3528 6525 11313 18603 28530
10 4104 2712 1704 996 504 192 120 36 120 0 0 0 120 30 120 200 560 1150 2040 3420 5760 9550 14760 3468 1644 780 372
180 84 36 12 12 12 0 10 10 10 30 70 150 310 650 1370 2890 6090 12830 3984 2544 1464 804 480 360 264 96
0 0 0 0 0 100 280 380 500 870 1720 3320 5940 9870 15160
11 7733 5049 3124 1903 1089 539 198 121 33 121 0 0 0 121 33 121 198 539 1089 1903 3124 5049 7733 6699 3179 1507 715
341 165 77 33 11 11 11 0 11 11 11 33 77 165 341 715 1507 3179 6699 7887 5093 2992 1617 847 495 374 275
99 0 0 0 0 0 99 275 374 495 847 1617 2992 5093 7887
12 14760 9550 5760 3420 2040 1150 560 200 120 30 120 0 0 0 120 36 120 192 504 996 1704 2712 4104 12830 6090 2890 1370
650 310 150 70 30 10 10 10 0 12 12 12 36 84 180 372 780 1644 3468 15160 9870 5940 3320 1720 870 500 380
280 100 0 0 0 0 0 96 264 360 480 804 1464 2544 3984
13 28206 18225 10863 6237 3600 2115 1179 567 198 117 27 117 0 0 0 117 39 117 182 455 871 1443 2184 24327 11547 5481 2601
1233 585 279 135 63 27 9 9 9 0 13 13 13 39 91 195 403 845 1781 28530 18603 11313 6525 3528 1773 873 495
378 279 99 0 0 0 0 0 91 247 338 455 741 1261 1976
14 53200 34464 20592 11672 6480 3664 2128 1176 560 192 112 24 112 0 0 0 112 42 112 168 392 714 1120 45560 21624 10264 4872
2312 1096 520 248 120 56 24 8 8 8 0 14 14 14 42 98 210 434 910 53056 34512 20944 12216 6848 3616 1776 856
480 368 272 96 0 0 0 0 0 84 224 308 420 658 1008
15 98273 63819 38374 21861 11977 6489 3612 2079 1141 539 182 105 21 105 0 0 0 105 45 105 150 315 525 83993 39865 18921 8981
4263 2023 959 455 217 105 49 21 7 7 7 0 15 15 15 45 105 225 465 97615 63343 38206 22183 12579 6909 3584 1729
819 455 350 259 91 0 0 0 0 0 75 195 270 375 555
16 177216 115170 69504 39936 22032 11778 6264 3444 1968 1074 504 168 96 18 96 0 0 0 96 48 96 128 224 151686 71994 34170 16218
7698 3654 1734 822 390 186 90 42 18 6 6 6 0 16 16 16 48 112 240 176544 114474 68796 39612 22320 12402 6708 3432
1632 762 420 324 240 84 0 0 0 0 0 64 160 224 320
17 310560 201735 121755 70255 39150 21105 11075 5805 3160 1795 975 455 150 85 15 85 0 0 0 85 51 85 102 266325 126405 59995 28475
13515 6415 3045 1445 685 325 155 75 35 15 5 5 5 0 17 17 17 51 119 310560 201465 121065 69415 38730 21355 11685 6245
3160 1485 685 375 290 215 75 0 0 0 0 0 51 119 170
18 523048 339544 204632 118028 66072 36016 19080 9868 5112 2760 1560 844 392 128 72 12 72 0 0 0 72 54 72 448900 213060 101124 47996
22780 10812 5132 2436 1156 548 260 124 60 28 12 4 4 4 0 18 18 18 54 523872 340064 204648 117388 65200 35560 19288 10428
5520 2768 1288 588 320 248 184 64 0 0 0 0 0 36 72
19 826689 536505 322980 185907 103989 56955 30534 15957 8157 4185 2244 1263 681 315 102 57 9 57 0 0 0 57 57 709347 336675 159795 75843
35997 17085 8109 3849 1827 867 411 195 93 45 21 9 3 3 3 0 19 19 19 827643 537405 323760 186093 103443 56151 30102 16119
8631 4533 2256 1041 471 255 198 147 51 0 0 0 0 0 19
20 1161736 753990 453816 260868 145560 79638 42904 22704 11736 5942 3024 1612 904 486 224 72 40 6 40 0 0 0 40 996358 472898 224450 106530
50562 23998 11390 5406 2566 1218 578 274 130 62 30 14 6 2 2 2 0 20 20 1161960 754438 454604 261648 145800 79230 42268 22356
11848 6294 3284 1624 744 334 180 140 104 36 0 0 0 0 0
21 1224166 794637 478427 274981 153208 83591 44975 23919 12526 6417 3223 1629 864 483 259 119 38 21 3 21 0 0 0 1049623 498179 236449 112225
53265 25281 11999 5695 2703 1283 609 289 137 65 31 15 7 3 1 1 1 0 21 1223754 794431 478557 275469 153728 83769 44749 23551
12322 6475 3417 1773 872 397 177 95 74 55 19 0 0 0 0
22 8011806 5200668 3131698 1801210 1004578 548110 294056 155514 81194 41968 21606 11158 5782 2962 1460 678 310 164 122 82 42 0 0 6870862 3261094 1547802 734628
348674 165490 78546 37280 17694 8398 3986 1892 898 426 202 96 46 22 10 4 2 2 0 8012348 5201416 3132746 1802052 1004636 547434 293276 155220
81464 42436 21870 11096 5552 2790 1448 776 404 192 82 25 4 2 22
23 0 21 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 21 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
26 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
27 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
28 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
29 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
30 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
31 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
32 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
33 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
34 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
35 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
36 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
37 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
38 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
39 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
40 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
41 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
42 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
43 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
44 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
45 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 21 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 21 0
46 22 2 4 25 82 192 404 776 1448 2790 5552 11096 21870 42436 81464 155220 293276 547434 1004636 1802052 3132746 5201416 8012348 0 2 2 4
10 22 46 96 202 426 898 1892 3986 8398 17694 37280 78546 165490 348674 734628 1547802 3261094 6870862 0 0 42 82 122 164 310 678
1460 2962 5782 11158 21606 41968 81194 155514 294056 548110 1004578 1801210 3131698 5200668 8011806
47 0 0 0 0 19 55 74 95 177 397 872 1773 3417 6475 12322 23551 44749 83769 153728 275469 478557 794431 1223754 21 0 1 1
1 3 7 15 31 65 137 289 609 1283 2703 5695 11999 25281 53265 112225 236449 498179 1049623 0 0 0 21 3 21 38 119
259 483 864 1629 3223 6417 12526 23919 44975 83591 153208 274981 478427 794637 1224166
48 0 0 0 0 0 36 104 140 180 334 744 1624 3284 6294 11848 22356 42268 79230 145800 261648 454604 754438 1161960 20 20 0 2
2 2 6 14 30 62 130 274 578 1218 2566 5406 11390 23998 50562 106530 224450 472898 996358 40 0 0 0 40 6 40 72
224 486 904 1612 3024 5942 11736 22704 42904 79638 145560 260868 453816 753990 1161736
49 19 0 0 0 0 0 51 147 198 255 471 1041 2256 4533 8631 16119 30102 56151 103443 186093 323760 537405 827643 19 19 19 0
3 3 3 9 21 45 93 195 411 867 1827 3849 8109 17085 35997 75843 159795 336675 709347 57 57 0 0 0 57 9 57
102 315 681 1263 2244 4185 8157 15957 30534 56955 103989 185907 322980 536505 826689
50 72 36 0 0 0 0 0 64 184 248 320 588 1288 2768 5520 10428 19288 35560 65200 117388 204648 340064 523872 54 18 18 18
0 4 4 4 12 28 60 124 260 548 1156 2436 5132 10812 22780 47996 101124 213060 448900 72 54 72 0 0 0 72 12
72 128 392 844 1560 2760 5112 9868 19080 36016 66072 118028 204632 339544 523048
51 170 119 51 0 0 0 0 0 75 215 290 375 685 1485 3160 6245 11685 21355 38730 69415 121065 201465 310560 119 51 17 17
17 0 5 5 5 15 35 75 155 325 685 1445 3045 6415 13515 28475 59995 126405 266325 102 85 51 85 0 0 0 85
15 85 150 455 975 1795 3160 5805 11075 21105 39150 70255 121755 201735 310560
52 320 224 160 64 0 0 0 0 0 84 240 324 420 762 1632 3432 6708 12402 22320 39612 68796 114474 176544 240 112 48 16
16 16 0 6 6 6 18 42 90 186 390 822 1734 3654 7698 16218 34170 71994 151686 224 128 96 48 96 0 0 0
96 18 96 168 504 1074 1968 3444 6264 11778 22032 39936 69504 115170 177216
53 555 375 270 195 75 0 0 0 0 0 91 259 350 455 819 1729 3584 6909 12579 22183 38206 63343 97615 465 225 105 45
15 15 15 0 7 7 7 21 49 105 217 455 959 2023 4263 8981 18921 39865 83993 525 315 150 105 45 105 0 0
0 105 21 105 182 539 1141 2079 3612 6489 11977 21861 38374 63819 98273
54 1008 658 420 308 224 84 0 0 0 0 0 96 272 368 480 856 1776 3616 6848 12216 20944 34512 53056 910 434 210 98
42 14 14 14 0 8 8 8 24 56 120 248 520 1096 2312 4872 10264 21624 45560 1120 714 392 168 112 42 112 0
0 0 112 24 112 192 560 1176 2128 3664 6480 11672 20592 34464 53200
55 1976 1261 741 455 338 247 91 0 0 0 0 0 99 279 378 495 873 1773 3528 6525 11313 18603 28530 1781 845 403 195
91 39 13 13 13 0 9 9 9 27 63 135 279 585 1233 2601 5481 11547 24327 2184 1443 871 455 182 117 39 117
0 0 0 117 27 117 198 567 1179 2115 3600 6237 10863 18225 28206
56 3984 2544 1464 804 480 360 264 96 0 0 0 0 0 100 280 380 500 870 1720 3320 5940 9870 15160 3468 1644 780 372
180 84 36 12 12 12 0 10 10 10 30 70 150 310 650 1370 2890 6090 12830 4104 2712 1704 996 504 192 120 36
120 0 0 0 120 30 120 200 560 1150 2040 3420 5760 9550 14760
57 7887 5093 2992 1617 847 495 374 275 99 0 0 0 0 0 99 275 374 495 847 1617 2992 5093 7887 6699 3179 1507 715
341 165 77 33 11 11 11 0 11 11 11 33 77 165 341 715 1507 3179 6699 7733 5049 3124 1903 1089 539 198 121
33 121 0 0 0 121 33 121 198 539 1089 1903 3124 5049 7733
58 15160 9870 5940 3320 1720 870 500 380 280 100 0 0 0 0 0 96 264 360 480 804 1464 2544 3984 12830 6090 2890 1370
650 310 150 70 30 10 10 10 0 12 12 12 36 84 180 372 780 1644 3468 14760 9550 5760 3420 2040 1150 560 200
120 30 120 0 0 0 120 36 120 192 504 996 1704 2712 4104
59 28530 18603 11313 6525 3528 1773 873 495 378 279 99 0 0 0 0 0 91 247 338 455 741 1261 1976 24327 11547 5481 2601
1233 585 279 135 63 27 9 9 9 0 13 13 13 39 91 195 403 845 1781 28206 18225 10863 6237 3600 2115 1179 567
198 117 27 117 0 0 0 117 39 117 182 455 871 1443 2184
60 53056 34512 20944 12216 6848 3616 1776 856 480 368 272 96 0 0 0 0 0 84 224 308 420 658 1008 45560 21624 10264 4872
2312 1096 520 248 120 56 24 8 8 8 0 14 14 14 42 98 210 434 910 53200 34464 20592 11672 6480 3664 2128 1176
560 192 112 24 112 0 0 0 112 42 112 168 392 714 1120
61 97615 63343 38206 22183 12579 6909 3584 1729 819 455 350 259 91 0 0 0 0 0 75 195 270 375 555 83993 39865 18921 8981
4263 2023 959 455 217 105 49 21 7 7 7 0 15 15 15 45 105 225 465 98273 63819 38374 21861 11977 6489 3612 2079
1141 539 182 105 21 105 0 0 0 105 45 105 150 315 525
62 176544 114474 68796 39612 22320 12402 6708 3432 1632 762 420 324 240 84 0 0 0 0 0 64 160 224 320 151686 71994 34170 16218
7698 3654 1734 822 390 186 90 42 18 6 6 6 0 16 16 16 48 112 240 177216 115170 69504 39936 22032 11778 6264 3444
1968 1074 504 168 96 18 96 0 0 0 96 48 96 128 224
63 310560 201465 121065 69415 38730 21355 11685 6245 3160 1485 685 375 290 215 75 0 0 0 0 0 51 119 170 266325 126405 59995 28475
13515 6415 3045 1445 685 325 155 75 35 15 5 5 5 0 17 17 17 51 119 310560 201735 121755 70255 39150 21105 11075 5805
3160 1795 975 455 150 85 15 85 0 0 0 85 51 85 102
64 523872 340064 204648 117388 65200 35560 19288 10428 5520 2768 1288 588 320 248 184 64 0 0 0 0 0 36 72 448900 213060 101124 47996
22780 10812 5132 2436 1156 548 260 124 60 28 12 4 4 4 0 18 18 18 54 523048 339544 204632 118028 66072 36016 19080 9868
5112 2760 1560 844 392 128 72 12 72 0 0 0 72 54 72
65 827643 537405 323760 186093 103443 56151 30102 16119 8631 4533 2256 1041 471 255 198 147 51 0 0 0 0 0 19 709347 336675 159795 75843
35997 17085 8109 3849 1827 867 411 195 93 45 21 9 3 3 3 0 19 19 19 826689 536505 322980 185907 103989 56955 30534 15957
8157 4185 2244 1263 681 315 102 57 9 57 0 0 0 57 57
66 1161960 754438 454604 261648 145800 79230 42268 22356 11848 6294 3284 1624 744 334 180 140 104 36 0 0 0 0 0 996358 472898 224450 106530
50562 23998 11390 5406 2566 1218 578 274 130 62 30 14 6 2 2 2 0 20 20 1161736 753990 453816 260868 145560 79638 42904 22704
11736 5942 3024 1612 904 486 224 72 40 6 40 0 0 0 40
67 1223754 794431 478557 275469 153728 83769 44749 23551 12322 6475 3417 1773 872 397 177 95 74 55 19 0 0 0 0 1049623 498179 236449 112225
53265 25281 11999 5695 2703 1283 609 289 137 65 31 15 7 3 1 1 1 0 21 1224166 794637 478427 274981 153208 83591 44975 23919
12526 6417 3223 1629 864 483 259 119 38 21 3 21 0 0 0
68 8012348 5201416 3132746 1802052 1004636 547434 293276 155220 81464 42436 21870 11096 5552 2790 1448 776 404 192 82 25 4 2 22 6870862 3261094 1547802 734628
348674 165490 78546 37280 17694 8398 3986 1892 898 426 202 96 46 22 10 4 2 2 0 8011806 5200668 3131698 1801210 1004578 548110 294056 155514
81194 41968 21606 11158 5782 2962 1460 678 310 164 122 82 42 0 0
Sum of all rows = 4(3*0 + 3*2 + 2*4 + 1*10 + 2*22 + 1*25 + 1*42 + 1*46 + 2*82 + 1*96 + 1*122 + 1*164 + 1*192 + 1*202 + 1*310 + 1*404 + 1*426 + 1*678 + 1*776 + 1*898 + 1*1448 + 1*1460 + 1*1892 + 1*2790 + 1*2962 +
1*3986 + 1*5552 + 1*5782 + 1*8398 + 1*11096 + 1*11158 + 1*17694 + 1*21606 + 1*21870 + 1*37280 + 1*41968 + 1*42436 + 1*78546 + 1*81194 + 1*81464 + 1*155220 + 1*155514 + 1*165490 + 1*293276 +
1*294056 + 1*348674 + 1*547434 + 1*548110 + 1*734628 + 1*1004578 + 1*1004636 + 1*1547802 + 1*1801210 + 1*1802052 + 1*3131698 + 1*3132746 + 1*3261094 + 1*5200668 + 1*5201416 + 1*6870862 +
1*8011806 + 1*8012348) +
4(8*0 + 3*1 + 2*3 + 1*7 + 1*15 + 1*19 + 3*21 + 1*31 + 1*38 + 1*55 + 1*65 + 1*74 + 1*95 + 1*119 + 1*137 + 1*177 + 1*259 + 1*289 + 1*397 + 1*483 + 1*609 + 1*864 + 1*872 + 1*1283 + 1*1629 +
1*1773 + 1*2703 + 1*3223 + 1*3417 + 1*5695 + 1*6417 + 1*6475 + 1*11999 + 1*12322 + 1*12526 + 1*23551 + 1*23919 + 1*25281 + 1*44749 + 1*44975 + 1*53265 + 1*83591 + 1*83769 + 1*112225 +
1*153208 + 1*153728 + 1*236449 + 1*274981 + 1*275469 + 1*478427 + 1*478557 + 1*498179 + 1*794431 + 1*794637 + 1*1049623 + 1*1223754 + 1*1224166) +
4(9*0 + 3*2 + 2*6 + 1*14 + 2*20 + 1*30 + 1*36 + 3*40 + 1*62 + 1*72 + 1*104 + 1*130 + 1*140 + 1*180 + 1*224 + 1*274 + 1*334 + 1*486 + 1*578 + 1*744 + 1*904 + 1*1218 + 1*1612 + 1*1624 + 1*2566 +
1*3024 + 1*3284 + 1*5406 + 1*5942 + 1*6294 + 1*11390 + 1*11736 + 1*11848 + 1*22356 + 1*22704 + 1*23998 + 1*42268 + 1*42904 + 1*50562 + 1*79230 + 1*79638 + 1*106530 + 1*145560 + 1*145800 +
1*224450 + 1*260868 + 1*261648 + 1*453816 + 1*454604 + 1*472898 + 1*753990 + 1*754438 + 1*996358 + 1*1161736 + 1*1161960) +
4(9*0 + 3*3 + 2*9 + 4*19 + 1*21 + 1*45 + 1*51 + 4*57 + 1*93 + 1*102 + 1*147 + 1*195 + 1*198 + 1*255 + 1*315 + 1*411 + 1*471 + 1*681 + 1*867 + 1*1041 + 1*1263 + 1*1827 + 1*2244 + 1*2256 +
1*3849 + 1*4185 + 1*4533 + 1*8109 + 1*8157 + 1*8631 + 1*15957 + 1*16119 + 1*17085 + 1*30102 + 1*30534 + 1*35997 + 1*56151 + 1*56955 + 1*75843 + 1*103443 + 1*103989 + 1*159795 + 1*185907 +
1*186093 + 1*322980 + 1*323760 + 1*336675 + 1*536505 + 1*537405 + 1*709347 + 1*826689 + 1*827643) +
4(9*0 + 3*4 + 2*12 + 3*18 + 1*28 + 1*36 + 2*54 + 1*60 + 1*64 + 5*72 + 1*124 + 1*128 + 1*184 + 1*248 + 1*260 + 1*320 + 1*392 + 1*548 + 1*588 + 1*844 + 1*1156 + 1*1288 + 1*1560 + 1*2436 + 1*2760 +
1*2768 + 1*5112 + 1*5132 + 1*5520 + 1*9868 + 1*10428 + 1*10812 + 1*19080 + 1*19288 + 1*22780 + 1*35560 + 1*36016 + 1*47996 + 1*65200 + 1*66072 + 1*101124 + 1*117388 + 1*118028 + 1*204632 +
1*204648 + 1*213060 + 1*339544 + 1*340064 + 1*448900 + 1*523048 + 1*523872) +
4(9*0 + 3*5 + 2*15 + 3*17 + 1*35 + 3*51 + 2*75 + 4*85 + 1*102 + 2*119 + 1*150 + 1*155 + 1*170 + 1*215 + 1*290 + 1*325 + 1*375 + 1*455 + 2*685 + 1*975 + 1*1445 + 1*1485 + 1*1795 + 1*3045 +
2*3160 + 1*5805 + 1*6245 + 1*6415 + 1*11075 + 1*11685 + 1*13515 + 1*21105 + 1*21355 + 1*28475 + 1*38730 + 1*39150 + 1*59995 + 1*69415 + 1*70255 + 1*121065 + 1*121755 + 1*126405 + 1*201465 +
1*201735 + 1*266325 + 1*310560 + 1*310560) +
4(9*0 + 3*6 + 3*16 + 2*18 + 1*42 + 2*48 + 1*64 + 1*84 + 1*90 + 4*96 + 1*112 + 1*128 + 1*160 + 1*168 + 1*186 + 2*224 + 2*240 + 1*320 + 1*324 + 1*390 + 1*420 + 1*504 + 1*762 + 1*822 + 1*1074 +
1*1632 + 1*1734 + 1*1968 + 1*3432 + 1*3444 + 1*3654 + 1*6264 + 1*6708 + 1*7698 + 1*11778 + 1*12402 + 1*16218 + 1*22032 + 1*22320 + 1*34170 + 1*39612 + 1*39936 + 1*68796 + 1*69504 + 1*71994 +
1*114474 + 1*115170 + 1*151686 + 1*176544 + 1*177216) +
4(9*0 + 3*7 + 3*15 + 2*21 + 2*45 + 1*49 + 1*75 + 1*91 + 6*105 + 1*150 + 1*182 + 1*195 + 1*217 + 1*225 + 1*259 + 1*270 + 1*315 + 1*350 + 1*375 + 2*455 + 1*465 + 1*525 + 1*539 + 1*555 + 1*819 +
1*959 + 1*1141 + 1*1729 + 1*2023 + 1*2079 + 1*3584 + 1*3612 + 1*4263 + 1*6489 + 1*6909 + 1*8981 + 1*11977 + 1*12579 + 1*18921 + 1*21861 + 1*22183 + 1*38206 + 1*38374 + 1*39865 + 1*63343 +
1*63819 + 1*83993 + 1*97615 + 1*98273) +
4(9*0 + 3*8 + 3*14 + 2*24 + 2*42 + 1*56 + 1*84 + 1*96 + 1*98 + 4*112 + 1*120 + 1*168 + 1*192 + 1*210 + 1*224 + 1*248 + 1*272 + 1*308 + 1*368 + 1*392 + 1*420 + 1*434 + 1*480 + 1*520 + 1*560 +
1*658 + 1*714 + 1*856 + 1*910 + 1*1008 + 1*1096 + 1*1120 + 1*1176 + 1*1776 + 1*2128 + 1*2312 + 1*3616 + 1*3664 + 1*4872 + 1*6480 + 1*6848 + 1*10264 + 1*11672 + 1*12216 + 1*20592 + 1*20944 +
1*21624 + 1*34464 + 1*34512 + 1*45560 + 1*53056 + 1*53200) +
4(9*0 + 3*9 + 3*13 + 2*27 + 2*39 + 1*63 + 2*91 + 1*99 + 4*117 + 1*135 + 1*182 + 1*195 + 1*198 + 1*247 + 2*279 + 1*338 + 1*378 + 1*403 + 2*455 + 1*495 + 1*567 + 1*585 + 1*741 + 1*845 + 1*871 +
1*873 + 1*1179 + 1*1233 + 1*1261 + 1*1443 + 1*1773 + 1*1781 + 1*1976 + 1*2115 + 1*2184 + 1*2601 + 1*3528 + 1*3600 + 1*5481 + 1*6237 + 1*6525 + 1*10863 + 1*11313 + 1*11547 + 1*18225 + 1*18603 +
1*24327 + 1*28206 + 1*28530) +
4(9*0 + 3*10 + 3*12 + 2*30 + 2*36 + 1*70 + 1*84 + 1*96 + 1*100 + 4*120 + 1*150 + 1*180 + 1*192 + 1*200 + 1*264 + 1*280 + 1*310 + 1*360 + 1*372 + 1*380 + 1*480 + 1*500 + 1*504 + 1*560 + 1*650 +
1*780 + 1*804 + 1*870 + 1*996 + 1*1150 + 1*1370 + 1*1464 + 1*1644 + 1*1704 + 1*1720 + 1*2040 + 1*2544 + 1*2712 + 1*2890 + 1*3320 + 1*3420 + 1*3468 + 1*3984 + 1*4104 + 1*5760 + 1*5940 +
1*6090 + 1*9550 + 1*9870 + 1*12830 + 1*14760 + 1*15160) +
2(9*0 + 6*11 + 4*33 + 2*77 + 2*99 + 4*121 + 2*165 + 2*198 + 2*275 + 2*341 + 2*374 + 2*495 + 2*539 + 2*715 + 2*847 + 2*1089 + 2*1507 + 2*1617 + 2*1903 + 2*2992 + 2*3124 + 2*3179 + 2*5049 +
2*5093 + 2*6699 + 2*7733 + 2*7887) +
2(67*0 + 2*21) +
21(69*0)
= 214842052 + 32820292 + 31155000 + 22181008 + 14038088 + 8331096 + 4750184 + 2640688 + 1452936 + 816248 + 509416 + 209352 + 84
= 333746444
Value repetition frequencies = 4(57*1 + 3*2 + 2*3) +
4(53*1 + 1*2 + 2*3 + 1*8) +
4(50*1 + 2*2 + 2*3 + 1*9) +
4(47*1 + 1*2 + 1*3 + 2*4 + 1*9) +
4(45*1 + 2*2 + 2*3 + 1*5 + 1*9) +
4(37*1 + 5*2 + 3*3 + 1*4 + 1*9) +
4(42*1 + 4*2 + 2*3 + 1*4 + 1*9) +
4(42*1 + 3*2 + 2*3 + 1*6 + 1*9) +
4(46*1 + 2*2 + 2*3 + 1*4 + 1*9) +
4(40*1 + 5*2 + 2*3 + 1*4 + 1*9) +
4(46*1 + 2*2 + 2*3 + 1*4 + 1*9) +
2(23*2 + 2*4 + 1*6 + 1*9) +
2(1*2 + 1*67) +
21(1*69)
= 4761
Number of distinct row element sets = 14
Number of rows = 2*2 + 11*4 + 1*21
= 69
Number of distinct values = 525
Distinct values 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Frequency 1969 12 24 20 20 12 20 16 12 20 16 12 20 12 16 24 12 12 20 20
Distinct values 20 21 22 24 25 27 28 30 31 33 35 36 38 39 40 42 45 46 48 49
Frequency 8 28 8 8 4 8 4 12 4 8 4 16 4 8 12 16 12 4 8 4
Distinct values 51 54 55 56 57 60 62 63 64 65 70 72 74 75 77 82 84 85 90 91
Frequency 16 8 4 4 16 4 4 4 8 4 4 24 4 12 4 8 12 16 4 12
Distinct values 93 95 96 98 99 100 102 104 105 112 117 119 120 121 122 124 128 130 135 137
Frequency 4 4 28 4 8 4 8 4 24 20 16 12 20 8 4 4 8 4 4 4
Distinct values 140 147 150 155 160 164 165 168 170 177 180 182 184 186 192 195 198 200 202 210
Frequency 4 4 12 4 4 4 4 8 4 4 8 8 4 4 12 12 12 4 4 4
Distinct values 215 217 224 225 240 247 248 255 259 260 264 270 272 274 275 279 280 289 290 308
Frequency 4 4 16 4 8 4 8 4 8 4 4 4 4 4 4 8 4 4 4 4
Distinct values 310 315 320 324 325 334 338 341 350 360 368 372 374 375 378 380 390 392 397 403
Frequency 8 8 8 4 4 4 4 4 4 4 4 4 4 8 4 4 4 8 4 4
Distinct values 404 411 420 426 434 455 465 471 480 483 486 495 500 504 520 525 539 548 555 560
Frequency 4 4 8 4 4 20 4 4 8 4 4 8 4 8 4 4 8 4 4 8
Distinct values 567 578 585 588 609 650 658 678 681 685 714 715 741 744 762 776 780 804 819 822
Frequency 4 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4 4
Distinct values 844 845 847 856 864 867 870 871 872 873 898 904 910 959 975 996 1008 1041 1074 1089
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 1096 1120 1141 1150 1156 1176 1179 1218 1233 1261 1263 1283 1288 1370 1443 1445 1448 1460 1464 1485
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 1507 1560 1612 1617 1624 1629 1632 1644 1704 1720 1729 1734 1773 1776 1781 1795 1827 1892 1903 1968
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4
Distinct values 1976 2023 2040 2079 2115 2128 2184 2244 2256 2312 2436 2544 2566 2601 2703 2712 2760 2768 2790 2890
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 2962 2992 3024 3045 3124 3160 3179 3223 3284 3320 3417 3420 3432 3444 3468 3528 3584 3600 3612 3616
Frequency 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 3654 3664 3849 3984 3986 4104 4185 4263 4533 4872 5049 5093 5112 5132 5406 5481 5520 5552 5695 5760
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 5782 5805 5940 5942 6090 6237 6245 6264 6294 6415 6417 6475 6480 6489 6525 6699 6708 6848 6909 7698
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 7733 7887 8109 8157 8398 8631 8981 9550 9868 9870 10264 10428 10812 10863 11075 11096 11158 11313 11390 11547
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 11672 11685 11736 11778 11848 11977 11999 12216 12322 12402 12526 12579 12830 13515 14760 15160 15957 16119 16218 17085
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 17694 18225 18603 18921 19080 19288 20592 20944 21105 21355 21606 21624 21861 21870 22032 22183 22320 22356 22704 22780
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 23551 23919 23998 24327 25281 28206 28475 28530 30102 30534 34170 34464 34512 35560 35997 36016 37280 38206 38374 38730
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 39150 39612 39865 39936 41968 42268 42436 42904 44749 44975 45560 47996 50562 53056 53200 53265 56151 56955 59995 63343
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 63819 65200 66072 68796 69415 69504 70255 71994 75843 78546 79230 79638 81194 81464 83591 83769 83993 97615 98273 101124
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 103443 103989 106530 112225 114474 115170 117388 118028 121065 121755 126405 145560 145800 151686 153208 153728 155220 155514 159795 165490
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 176544 177216 185907 186093 201465 201735 204632 204648 213060 224450 236449 260868 261648 266325 274981 275469 293276 294056 310560 322980
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 4
Distinct values 323760 336675 339544 340064 348674 448900 453816 454604 472898 478427 478557 498179 523048 523872 536505 537405 547434 548110 709347 734628
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 753990 754438 794431 794637 826689 827643 996358 1004578 1004636 1049623 1161736 1161960 1223754 1224166 1547802 1801210 1802052 3131698 3132746 3261094
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 5200668 5201416 6870862 8011806 8012348
Frequency 4 4 4 4 4
Sum of distinct value frequencies = 444*4 + 36*8 + 18*12 + 10*16 + 10*20 + 4*24 + 2*28 + 1*1969
= 4761
Number of SN-EN pairs for which the number of CNSAPs is greater than zero = 2*2 + 38*60 + 4*61 + 4*66
= 2792
Number of SN-EN pairs, with SN != EN, for which the number of CNSAPs equals zero = 1900
Number of possible SN-EN pairs with SN != EN = 68*69
= 4692
a = 24, b = 3
L C
3 8
4 16
5 32
6 44
7 168
8 200
9 544
10 836
11 1560
12 2308
13 4064
14 6440
15 11180
16 18136
17 30460
18 49412
19 81712
20 133420
21 219872
22 360056
23 591124
24 966880
25 1582060
26 2583452
27 4216572
28 6868620
29 11133548
30 17918608
31 27708204
32 42446768
33 56113176
34 77950648
35 79624376
36 96187356
37 75935196
38 74863852
39 48711124
40 36685112
41 20311000
42 11404104
43 5213312
44 2176148
45 767132
46 230268
47 57036
48 10992
49 1704
50 76
Total 703178916
Number of times each node is the starting node (SN) in a CNSAP of each length (L)
SN 0 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
L
3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0
4 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 4 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 2 0
5 1 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5
0 1 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 0 0 0 1 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 5 0 1
6 0 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 0
0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
0 0 0 0 0 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 9 0 0 0
7 1 1 1 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13 0 1
1 1 2 2 4 8 4 8 4 4 4 4 4 4 4 4 4 4 4 4 8 4
8 4 2 2 1 1 1 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0
0 13 0 1 1 1
8 0 0 0 3 0 17 0 0 0 0 0 0 0 0 0 0 0 0 17 0 3 0
0 0 2 2 2 4 18 4 8 4 4 4 4 4 4 4 4 4 4 8 4 18
4 2 2 2 0 0 0 3 0 17 0 0 0 0 0 0 0 0 0 0 0 0
17 0 3 0 0 0
9 3 3 4 4 14 4 25 4 4 4 4 4 4 4 4 4 4 25 4 14 4 4
3 3 4 4 4 6 8 40 8 12 8 8 8 8 8 8 8 8 12 8 40 8
6 4 4 4 3 3 4 4 14 4 25 4 4 4 4 4 4 4 4 4 4 25
4 14 4 4 3 3
10 4 4 4 9 8 36 8 33 8 8 8 8 8 8 8 8 33 8 36 8 9 4
4 4 4 4 4 4 8 8 66 8 12 8 8 8 8 8 8 12 8 66 8 8
4 4 4 4 4 4 4 9 8 36 8 33 8 8 8 8 8 8 8 8 33 8
36 8 9 4 4 4
11 9 10 11 10 22 18 82 18 47 18 18 18 18 18 18 47 18 82 18 22 10 11
10 9 6 6 6 6 8 18 12 104 12 16 12 12 12 12 16 12 104 12 18 8
6 6 6 6 9 10 11 10 22 18 82 18 47 18 18 18 18 18 18 47 18 82
18 22 10 11 10 9
12 12 12 12 17 12 34 24 150 24 57 24 24 24 24 57 24 150 24 34 12 17 12
12 12 10 10 10 10 10 16 46 20 154 20 24 20 20 24 20 154 20 46 16 10
10 10 10 10 12 12 12 17 12 34 24 150 24 57 24 24 24 24 57 24 150 24
34 12 17 12 12 12
13 21 22 24 23 34 28 71 44 266 44 81 44 44 81 44 266 44 71 28 34 23 24
22 21 20 20 20 20 20 22 36 122 40 224 40 44 44 40 224 40 122 36 22 20
20 20 20 20 21 22 24 23 34 28 71 44 266 44 81 44 44 81 44 266 44 71
28 34 23 24 22 21
14 32 33 33 38 34 52 46 141 66 426 66 107 107 66 426 66 141 46 52 34 38 33
33 32 36 36 36 36 36 36 44 68 282 72 314 76 76 314 72 282 68 44 36 36
36 36 36 36 32 33 33 38 34 52 46 141 66 426 66 107 107 66 426 66 141 46
52 34 38 33 33 32
15 57 62 64 64 75 70 111 102 323 126 674 171 171 674 126 323 102 111 70 75 64 64
62 57 62 62 62 62 62 62 64 90 120 586 128 432 432 128 586 120 90 64 62 62
62 62 62 62 57 62 64 64 75 70 111 102 323 126 674 171 171 674 126 323 102 111
70 75 64 64 62 57
16 96 103 104 109 105 124 112 203 180 681 257 1002 1002 257 681 180 203 112 124 105 109 104
103 96 102 102 102 102 102 102 102 112 190 204 1110 586 586 1110 204 190 112 102 102 102
102 102 102 102 96 103 104 109 105 124 112 203 180 681 257 1002 1002 257 681 180 203 112
124 105 109 104 103 96
17 167 180 186 186 198 193 236 212 408 393 1407 1478 1478 1407 393 408 212 236 193 198 186 186
180 167 168 168 168 168 168 168 168 170 208 430 796 1962 1962 796 430 208 170 168 168 168
168 168 168 168 167 180 186 186 198 193 236 212 408 393 1407 1478 1478 1407 393 408 212 236
193 198 186 186 180 167
18 280 297 304 310 306 325 314 402 411 772 2066 2693 2693 2066 772 411 402 314 325 306 310 304
297 280 280 280 280 280 280 280 280 284 292 934 998 3278 3278 998 934 292 284 280 280 280
280 280 280 280 280 297 304 310 306 325 314 402 411 772 2066 2693 2693 2066 772 411 402 314
325 306 310 304 297 280
19 473 502 516 520 532 528 571 611 737 2610 1554 4903 4903 1554 2610 737 611 571 528 532 520 516
502 473 474 474 474 474 474 474 478 474 1128 526 5022 2270 2270 5022 526 1128 474 478 474 474
474 474 474 474 473 502 516 520 532 528 571 611 737 2610 1554 4903 4903 1554 2610 737 611 571
528 532 520 516 502 473
20 792 839 856 868 865 884 938 962 3430 1307 8025 3094 3094 8025 1307 3430 962 938 884 865 868 856
839 792 806 806 806 806 806 810 806 1564 806 7342 990 4642 4642 990 7342 806 1564 806 810 806
806 806 806 806 792 839 856 868 865 884 938 962 3430 1307 8025 3094 3094 8025 1307 3430 962 938
884 865 868 856 839 792
21 1337 1422 1452 1464 1480 1545 1520 4673 1690 13083 2376 5664 5664 2376 13083 1690 4673 1520 1545 1480 1464 1452
1422 1337 1368 1368 1368 1368 1372 1368 2240 1368 10874 1366 8854 1610 1610 8854 1366 10874 1368 2240 1368 1372
1368 1368 1368 1368 1337 1422 1452 1464 1480 1545 1520 4673 1690 13083 2376 5664 5664 2376 13083 1690 4673 1520
1545 1480 1464 1452 1422 1337
22 2256 2401 2448 2470 2546 2493 6418 2571 20933 2868 10924 3372 3372 10924 2868 20933 2571 6418 2493 2546 2470 2448
2401 2256 2312 2312 2312 2316 2312 3306 2312 15738 2308 17454 1876 2070 2070 1876 17454 2308 15738 2312 3306 2312
2316 2312 2312 2312 2256 2401 2448 2470 2546 2493 6418 2571 20933 2868 10924 3372 3372 10924 2868 20933 2571 6418
2493 2546 2470 2448 2401 2256
23 3817 4066 4152 4257 4204 9016 4248 32617 4363 22166 3659 4862 4862 3659 22166 4363 32617 4248 9016 4204 4257 4152
4066 3817 3898 3898 3902 3898 5022 3898 22360 3894 32696 3358 5142 742 742 5142 3358 32696 3894 22360 3898 5022
3898 3902 3898 3898 3817 4066 4152 4257 4204 9016 4248 32617 4363 22166 3659 4862 4862 3659 22166 4363 32617 4248
9016 4204 4257 4152 4066 3817
24 6448 6863 7089 7060 12883 7099 49466 7118 43555 5576 9650 3103 3103 9650 5576 43555 7118 49466 7099 12883 7060 7089
6863 6448 6570 6574 6570 7832 6570 31380 6566 58268 5934 13288 1698 370 370 1698 13288 5934 58268 6566 31380 6570
7832 6570 6574 6570 6448 6863 7089 7060 12883 7099 49466 7118 43555 5576 9650 3103 3103 9650 5576 43555 7118 49466
7099 12883 7060 7089 6863 6448
25 10891 11673 11838 18860 11962 73469 11954 82402 9694 20661 3480 4720 4720 3480 20661 9694 82402 11954 73469 11962 18860 11838
11673 10891 11088 11084 12492 11084 43766 11080 99498 10344 32026 3972 1286 102 102 1286 3972 32026 10344 99498 11080 43766
11084 12492 11084 11088 10891 11673 11838 18860 11962 73469 11954 82402 9694 20661 3480 4720 4720 3480 20661 9694 82402 11954
73469 11962 18860 11838 11673 10891
26 18469 19549 28168 20114 107232 20125 149855 17143 44672 5997 9116 3042 3042 9116 5997 44672 17143 149855 20125 107232 20114 28168
19549 18469 18716 20278 18716 61022 18712 163794 17864 72354 8612 4254 420 20 20 420 4254 8612 72354 17864 163794 18712
61022 18716 20278 18716 18469 19549 28168 20114 107232 20125 149855 17143 44672 5997 9116 3042 3042 9116 5997 44672 17143 149855
20125 107232 20114 28168 19549 18469
27 31025 42618 33700 154585 33972 262884 30244 95808 12176 19000 3171 4757 4757 3171 19000 12176 95808 30244 262884 33972 154585 33700
42618 31025 33338 31614 85540 31610 261324 30642 154168 17606 12976 1462 124 2 2 124 1462 12976 17606 154168 30642 261324
31610 85540 31614 33338 31025 42618 33700 154585 33972 262884 30244 95808 12176 19000 3171 4757 4757 3171 19000 12176 95808 30244
262884 33972 154585 33700 42618 31025
28 63554 55715 220829 57228 446199 52775 201127 24925 40347 5148 9136 3062 3062 9136 5148 40347 24925 201127 52775 446199 57228 220829
55715 63554 53394 121196 53390 405972 52294 311704 34394 36832 4426 596 22 0 0 22 596 4426 36832 34394 311704 52294
405972 53390 121196 53394 63554 55715 220829 57228 446199 52775 201127 24925 40347 5148 9136 3062 3062 9136 5148 40347 24925 201127
52775 446199 57228 220829 55715 63554
29 88429 313089 95984 735340 91308 410872 49928 86656 10456 18872 3208 4765 4765 3208 18872 10456 86656 49928 410872 91308 735340 95984
313089 88429 174366 90152 616746 88920 601434 64884 97854 12020 2438 144 2 0 0 2 144 2438 12020 97854 64884 601434
88920 616746 90152 174366 88429 313089 95984 735340 91308 410872 49928 86656 10456 18872 3208 4765 4765 3208 18872 10456 86656 49928
410872 91308 735340 95984 313089 88429
30 437302 158781 1180066 156566 813819 97069 186975 22507 39507 5133 9164 3063 3063 9164 5133 39507 22507 186975 97069 813819 156566 1180066
158781 437302 152200 919922 150824 1113226 119172 244518 29924 8886 704 24 0 0 0 0 24 704 8886 29924 244518 119172
1113226 150824 919922 152200 437302 158781 1180066 156566 813819 97069 186975 22507 39507 5133 9164 3063 3063 9164 5133 39507 22507 186975
97069 813819 156566 1180066 158781 437302
31 252025 1847429 265840 1561372 183672 403568 49096 83292 10076 18957 3216 4765 4765 3216 18957 10076 83292 49096 403568 183672 1561372 265840
1847429 252025 1352404 255418 1985840 214446 577376 69406 29596 2826 172 2 0 0 0 0 2 172 2826 29596 69406 577376
214446 1985840 255418 1352404 252025 1847429 265840 1561372 183672 403568 49096 83292 10076 18957 3216 4765 4765 3216 18957 10076 83292 49096
403568 183672 1561372 265840 1847429 252025
32 2807746 443431 2901741 338972 865495 105931 176203 20829 39676 5167 9165 3063 3063 9165 5167 39676 20829 176203 105931 865495 338972 2901741
443431 2807746 432114 3428220 379878 1294292 151894 91392 9794 936 26 0 0 0 0 0 0 26 936 9794 91392 151894
1294292 379878 3428220 432114 2807746 443431 2901741 338972 865495 105931 176203 20829 39676 5167 9165 3063 3063 9165 5167 39676 20829 176203
105931 865495 338972 2901741 443431 2807746
33 707695 5217068 610438 1832149 223974 374414 44038 83434 10170 18962 3215 4764 4764 3215 18962 10170 83434 44038 374414 223974 1832149 610438
5217068 707695 5748670 664872 2766810 316872 264018 30244 4262 196 2 0 0 0 0 0 0 2 196 4262 30244 264018
316872 2766810 664872 5748670 707695 5217068 610438 1832149 223974 374414 44038 83434 10170 18962 3215 4764 4764 3215 18962 10170 83434 44038
374414 223974 1832149 610438 5217068 707695
34 8880338 1065577 3797924 460742 798710 93969 175403 20963 39705 5161 9164 3063 3063 9164 5161 39705 20963 175403 93969 798710 460742 3797924
1065577 8880338 1152984 5664258 635416 717994 85044 17070 1092 28 0 0 0 0 0 0 0 0 28 1092 17070 85044
717994 635416 5664258 1152984 8880338 1065577 3797924 460742 798710 93969 175403 20963 39705 5161 9164 3063 3063 9164 5161 39705 20963 175403
93969 798710 460742 3797924 1065577 8880338
35 1754553 7540216 915852 1702194 201356 368695 43708 83527 10152 18949 3210 4762 4762 3210 18949 10152 83527 43708 368695 201356 1702194 915852
7540216 1754553 11148980 1233290 1847200 221270 61912 4958 228 2 0 0 0 0 0 0 0 0 2 228 4958 61912
221270 1847200 1233290 11148980 1754553 7540216 915852 1702194 201356 368695 43708 83527 10152 18949 3210 4762 4762 3210 18949 10152 83527 43708
368695 201356 1702194 915852 7540216 1754553
36 13443270 1733999 3521360 428048 769791 90779 175439 20873 39659 5144 9157 3062 3062 9157 5144 39659 20873 175439 90779 769791 428048 3521360
1733999 13443270 2330214 4515216 539314 207032 19322 1388 30 0 0 0 0 0 0 0 0 0 0 30 1388 19322
207032 539314 4515216 2330214 13443270 1733999 3521360 428048 769791 90779 175439 20873 39659 5144 9157 3062 3062 9157 5144 39659 20873 175439
90779 769791 428048 3521360 1733999 13443270
37 3003713 6602330 884560 1534052 186392 363944 43228 83233 10067 18920 3196 4756 4756 3196 18920 10067 83233 43228 363944 186392 1534052 884560
6602330 3003713 10527418 1243636 645766 66756 6982 256 2 0 0 0 0 0 0 0 0 0 0 2 256 6982
66756 645766 1243636 10527418 3003713 6602330 884560 1534052 186392 363944 43228 83233 10067 18920 3196 4756 4756 3196 18920 10067 83233 43228
363944 186392 1534052 884560 6602330 3003713
38 10483582 1707269 2679152 371110 703195 88029 171217 20459 39461 5097 9140 3054 3054 9140 5097 39461 20459 171217 88029 703195 371110 2679152
1707269 10483582 2735268 1893886 209028 30582 1600 32 0 0 0 0 0 0 0 0 0 0 0 0 32 1600
30582 209028 1893886 2735268 10483582 1707269 2679152 371110 703195 88029 171217 20459 39461 5097 9140 3054 3054 9140 5097 39461 20459 171217
88029 703195 371110 2679152 1707269 10483582
39 2878817 3831080 684464 1143054 171332 318803 41264 80067 9818 18785 3166 4738 4738 3166 18785 9818 80067 41264 318803 171332 1143054 684464
3831080 2878817 5253224 602814 120356 8098 292 2 0 0 0 0 0 0 0 0 0 0 0 0 2 292
8098 120356 602814 5253224 2878817 3831080 684464 1143054 171332 318803 41264 80067 9818 18785 3166 4738 4738 3166 18785 9818 80067 41264
318803 171332 1143054 684464 3831080 2878817
40 4510730 1084815 1456716 298780 480564 78619 141503 19290 37131 4952 9047 3030 3030 9047 4952 37131 19290 141503 78619 480564 298780 1456716
1084815 4510730 1620958 434232 35010 1968 34 0 0 0 0 0 0 0 0 0 0 0 0 0 0 34
1968 35010 434232 1620958 4510730 1084815 1456716 298780 480564 78619 141503 19290 37131 4952 9047 3030 3030 9047 4952 37131 19290 141503
78619 480564 298780 1456716 1084815 4510730
41 1413267 1431572 421898 554862 130458 194566 35667 61224 9120 17084 3076 4655 4655 3076 17084 9120 61224 35667 194566 130458 554862 421898
1431572 1413267 1455786 133636 10854 324 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
324 10854 133636 1455786 1413267 1431572 421898 554862 130458 194566 35667 61224 9120 17084 3076 4655 4655 3076 17084 9120 61224 35667
194566 130458 554862 421898 1431572 1413267
42 1104574 444357 488184 167970 200969 55237 75522 16003 25618 4536 7826 2929 2929 7826 4536 25618 16003 75522 55237 200969 167970 488184
444357 1104574 460612 51710 2244 36 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
36 2244 51710 460612 1104574 444357 488184 167970 200969 55237 75522 16003 25618 4536 7826 2929 2929 7826 4536 25618 16003 75522
55237 200969 167970 488184 444357 1104574
43 342121 324988 155700 157189 63228 69043 22626 27936 7194 10348 2781 3780 3780 2781 10348 7194 27936 22626 69043 63228 157189 155700
324988 342121 219904 12518 364 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 364 12518 219904 342121 324988 155700 157189 63228 69043 22626 27936 7194 10348 2781 3780 3780 2781 10348 7194 27936 22626
69043 63228 157189 155700 324988 342121
44 148954 100091 93205 50300 47315 22388 22355 8898 9786 3379 4082 2218 2218 4082 3379 9786 8898 22355 22388 47315 50300 93205
100091 148954 59402 2692 38 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 38 2692 59402 148954 100091 93205 50300 47315 22388 22355 8898 9786 3379 4082 2218 2218 4082 3379 9786 8898 22355
22388 47315 50300 93205 100091 148954
45 38565 40778 27508 24150 14855 13240 7380 6792 3415 3292 1764 1760 1760 1764 3292 3415 6792 7380 13240 14855 24150 27508
40778 38565 16166 400 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 400 16166 38565 40778 27508 24150 14855 13240 7380 6792 3415 3292 1764 1760 1760 1764 3292 3415 6792 7380
13240 14855 24150 27508 40778 38565
46 9830 10205 8952 6566 5654 3941 3386 2245 1926 1274 1130 918 918 1130 1274 1926 2245 3386 3941 5654 6566 8952
10205 9830 3040 40 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 40 3040 9830 10205 8952 6566 5654 3941 3386 2245 1926 1274 1130 918 918 1130 1274 1926 2245 3386
3941 5654 6566 8952 10205 9830
47 1761 2317 1928 1683 1362 1172 933 792 632 548 468 440 440 468 548 632 792 933 1172 1362 1683 1928
2317 1761 444 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 2 444 1761 2317 1928 1683 1362 1172 933 792 632 548 468 440 440 468 548 632 792 933
1172 1362 1683 1928 2317 1761
48 243 359 326 293 259 231 206 186 170 158 150 146 146 150 158 170 186 206 231 259 293 326
359 243 42 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 42 243 359 326 293 259 231 206 186 170 158 150 146 146 150 158 170 186 206
231 259 293 326 359 243
49 23 40 39 36 35 36 36 36 36 36 36 36 36 36 36 36 36 36 36 35 36 39
40 23 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 23 40 39 36 35 36 36 36 36 36 36 36 36 36 36 36 36 36
36 35 36 39 40 23
50 0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2
2 2 1 1 1 0
Total 52447283 34046169 20503638 11793637 6576441 3586267 1923485 1019383 537111 285701 161059 109897 109897 161059 285701 537111 1019383 1923485 3586267 6576441 11793637 20503638
34046169 52447283 44976858 21347218 10131962 4808910 2282462 1083370 514306 244334 116454 56298 28882 18262 18262 28882 56298 116454 244334 514306 1083370 2282462
4808910 10131962 21347218 44976858 52447283 34046169 20503638 11793637 6576441 3586267 1923485 1019383 537111 285701 161059 109897 109897 161059 285701 537111 1019383 1923485
3586267 6576441 11793637 20503638 34046169 52447283
Grand total = 2*18262 + 2*28882 + 2*56298 + 4*109897 + 2*116454 + 4*161059 + 2*244334 + 4*285701 + 2*514306 + 4*537111 + 4*1019383 + 2*1083370 + 4*1923485 + 2*2282462 + 4*3586267 + 2*4808910 + 4*6576441 + 2*10131962 + 4*11793637 +
4*20503638 + 2*21347218 + 4*34046169 + 2*44976858 + 4*52447283
= 703178916
Number of times each node is the ending node (EN) in a CNSAP of each length (L)
EN 0 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
L
3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2
4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 4
5 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 8
6 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 11
7 19 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
2 19 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 19 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
2 2 2 2 2 19
8 29 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
1 29 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 29 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
2 2 2 2 1 29
9 52 4 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7
4 52 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 52 4 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
8 8 8 7 4 52
10 90 5 7 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 7
5 90 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 90 5 7 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12
12 12 11 7 5 90
11 158 9 14 17 23 24 24 24 24 24 24 24 24 24 24 24 24 24 24 23 17 14
9 158 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 158 9 14 17 23 24 24 24 24 24 24 24 24 24 24 24 24 24
24 23 17 14 9 158
12 265 11 17 22 25 33 34 34 34 34 34 34 34 34 34 34 34 34 33 25 22 17
11 265 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 265 11 17 22 25 33 34 34 34 34 34 34 34 34 34 34 34 34
33 25 22 17 11 265
13 445 21 31 36 46 53 63 64 64 64 64 64 64 64 64 64 64 63 53 46 36 31
21 445 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 445 21 31 36 46 53 63 64 64 64 64 64 64 64 64 64 64 63
53 46 36 31 21 445
14 741 34 46 55 60 76 89 101 102 102 102 102 102 102 102 102 101 89 76 60 55 46
34 741 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 741 34 46 55 60 76 89 101 102 102 102 102 102 102 102 102 101 89
76 60 55 46 34 741
15 1248 63 85 95 107 120 152 173 187 188 188 188 188 188 188 187 173 152 120 107 95 85
63 1248 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 1248 63 85 95 107 120 152 173 187 188 188 188 188 188 188 187 173 152
120 107 95 85 63 1248
16 2107 104 139 154 163 181 202 262 293 309 310 310 310 310 309 293 262 202 181 163 154 139
104 2107 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 2107 104 139 154 163 181 202 262 293 309 310 310 310 310 309 293 262 202
181 163 154 139 104 2107
17 3571 177 241 263 280 295 335 374 478 521 539 540 540 539 521 478 374 335 295 280 263 241
177 3571 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 3571 177 241 263 280 295 335 374 478 521 539 540 540 539 521 478 374 335
295 280 263 241 177 3571
18 6039 290 395 433 448 470 493 571 644 812 869 889 889 869 812 644 571 493 470 448 433 395
290 6039 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 6039 290 395 433 448 470 493 571 644 812 869 889 889 869 812 644 571 493
470 448 433 395 290 6039
19 10202 489 667 731 760 780 822 871 1029 1164 1420 1492 1492 1420 1164 1029 871 822 780 760 731 667
489 10202 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 10202 489 667 731 760 780 822 871 1029 1164 1420 1492 1492 1420 1164 1029 871 822
780 760 731 667 489 10202
20 17211 822 1113 1221 1259 1287 1314 1394 1491 1805 2045 2393 2393 2045 1805 1491 1394 1314 1287 1259 1221 1113
822 17211 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 17211 822 1113 1221 1259 1287 1314 1394 1491 1805 2045 2393 2393 2045 1805 1491 1394 1314
1287 1259 1221 1113 822 17211
21 29041 1397 1887 2065 2136 2168 2215 2266 2436 2632 3212 3512 3512 3212 2632 2436 2266 2215 2168 2136 2065 1887
1397 29041 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 29041 1397 1887 2065 2136 2168 2215 2266 2436 2632 3212 3512 3512 3212 2632 2436 2266 2215
2168 2136 2065 1887 1397 29041
22 49015 2362 3185 3479 3587 3638 3671 3755 3853 4177 4435 4857 4857 4435 4177 3853 3755 3671 3638 3587 3479 3185
2362 49015 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 49015 2362 3185 3479 3587 3638 3671 3755 3853 4177 4435 4857 4857 4435 4177 3853 3755 3671
3638 3587 3479 3185 2362 49015
23 82764 3995 5393 5883 6068 6142 6201 6256 6398 6452 6256 5972 5972 6256 6452 6398 6256 6201 6142 6068 5883 5393
3995 82764 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 82764 3995 5393 5883 6068 6142 6201 6256 6398 6452 6256 5972 5972 6256 6452 6398 6256 6201
6142 6068 5883 5393 3995 82764
24 139761 6736 9099 9925 10219 10340 10395 10453 10373 9531 8405 6483 6483 8405 9531 10373 10453 10395 10340 10219 9925 9099
6736 139761 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 139761 6736 9099 9925 10219 10340 10395 10453 10373 9531 8405 6483 6483 8405 9531 10373 10453 10395
10340 10219 9925 9099 6736 139761
25 236003 11365 15361 16759 17256 17443 17510 17367 16032 13974 9100 7344 7344 9100 13974 16032 17367 17510 17443 17256 16759 15361
11365 236003 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 236003 11365 15361 16759 17256 17443 17510 17367 16032 13974 9100 7344 7344 9100 13974 16032 17367 17510
17443 17256 16759 15361 11365 236003
26 398467 19174 25911 28277 29102 29373 29258 27491 24399 15863 11497 7051 7051 11497 15863 24399 27491 29258 29373 29102 28277 25911
19174 398467 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 398467 19174 25911 28277 29102 29373 29258 27491 24399 15863 11497 7051 7051 11497 15863 24399 27491 29258
29373 29102 28277 25911 19174 398467
27 672647 32377 43743 47738 49105 49332 47243 42954 29529 21348 10494 7632 7632 10494 21348 29529 42954 47243 49332 49105 47738 43743
32377 672647 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 672647 32377 43743 47738 49105 49332 47243 42954 29529 21348 10494 7632 7632 10494 21348 29529 42954 47243
49332 49105 47738 43743 32377 672647
28 1134743 54674 73848 80548 82607 80658 75057 55006 40913 19533 12435 7133 7133 12435 19533 40913 55006 75057 80658 82607 80548 73848
54674 1134743 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 1134743 54674 73848 80548 82607 80658 75057 55006 40913 19533 12435 7133 7133 12435 19533 40913 55006 75057
80658 82607 80548 73848 54674 1134743
29 1903556 92332 124668 135691 136358 129971 101204 78063 38782 24291 10820 7650 7650 10820 24291 38782 78063 101204 129971 136358 135691 124668
92332 1903556 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 1903556 92332 124668 135691 136358 129971 101204 78063 38782 24291 10820 7650 7650 10820 24291 38782 78063 101204
129971 136358 135691 124668 92332 1903556
30 3169798 155853 210147 225373 222012 182961 146534 77303 49358 20647 12533 7133 7133 12533 20647 49358 77303 146534 182961 222012 225373 210147
155853 3169798 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 3169798 155853 210147 225373 222012 182961 146534 77303 49358 20647 12533 7133 7133 12533 20647 49358 77303 146534
182961 222012 225373 210147 155853 3169798
31 5011487 262740 350433 369920 323911 270070 152581 100476 42207 24746 10833 7646 7646 10833 24746 42207 100476 152581 270070 323911 369920 350433
262740 5011487 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 5011487 262740 350433 369920 323911 270070 152581 100476 42207 24746 10833 7646 7646 10833 24746 42207 100476 152581
270070 323911 369920 350433 262740 5011487
32 7877509 438489 578115 554790 486431 295808 202025 87036 51105 20734 12523 7127 7127 12523 20734 51105 87036 202025 295808 486431 554790 578115
438489 7877509 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 7877509 438489 578115 554790 486431 295808 202025 87036 51105 20734 12523 7127 7127 12523 20734 51105 87036 202025
295808 486431 554790 578115 438489 7877509
33 10249254 723704 882225 845096 558744 398663 178414 106439 42600 24707 10812 7635 7635 10812 24707 42600 106439 178414 398663 558744 845096 882225
723704 10249254 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 10249254 723704 882225 845096 558744 398663 178414 106439 42600 24707 10812 7635 7635 10812 24707 42600 106439 178414
398663 558744 845096 882225 723704 10249254
34 14498939 1102705 1354257 1008014 764409 359581 220130 88435 50962 20631 12488 7111 7111 12488 20631 50962 88435 220130 359581 764409 1008014 1354257
1102705 14498939 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 14498939 1102705 1354257 1008014 764409 359581 220130 88435 50962 20631 12488 7111 7111 12488 20631 50962 88435 220130
359581 764409 1008014 1354257 1102705 14498939
35 13671269 1682402 1639287 1391532 701336 447325 182111 105810 42137 24530 10747 7607 7607 10747 24530 42137 105810 182111 447325 701336 1391532 1639287
1682402 13671269 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 13671269 1682402 1639287 1391532 701336 447325 182111 105810 42137 24530 10747 7607 7607 10747 24530 42137 105810 182111
447325 701336 1391532 1639287 1682402 13671269
36 16912907 1974263 2254151 1273410 874455 364751 216734 86242 50141 20340 12379 7066 7066 12379 20340 50141 86242 216734 364751 874455 1273410 2254151
1974263 16912907 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 16912907 1974263 2254151 1273410 874455 364751 216734 86242 50141 20340 12379 7066 7066 12379 20340 50141 86242 216734
364751 874455 1273410 2254151 1974263 16912907
37 11317144 2655736 1972255 1569838 684328 428099 171687 101844 40740 24039 10563 7525 7525 10563 24039 40740 101844 171687 428099 684328 1569838 1972255
2655736 11317144 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 11317144 2655736 1972255 1569838 684328 428099 171687 101844 40740 24039 10563 7525 7525 10563 24039 40740 101844 171687
428099 684328 1569838 1972255 2655736 11317144
38 11653637 2120205 2359423 1124324 777343 317157 198036 79540 47779 19513 12078 6928 6928 12078 19513 47779 79540 198036 317157 777343 1124324 2359423
2120205 11653637 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 11653637 2120205 2359423 1124324 777343 317157 198036 79540 47779 19513 12078 6928 6928 12078 19513 47779 79540 198036
317157 777343 1124324 2359423 2120205 11653637
39 5899483 2420848 1486581 1205236 508100 348135 141921 90724 36774 22636 10055 7287 7287 10055 22636 36774 90724 141921 348135 508100 1205236 1486581
2420848 5899483 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 5899483 2420848 1486581 1205236 508100 348135 141921 90724 36774 22636 10055 7287 7287 10055 22636 36774 90724 141921
348135 508100 1205236 1486581 2420848 5899483
40 4674783 1347017 1462969 669650 511799 214257 152134 62490 41253 17169 11223 6534 6534 11223 17169 41253 62490 152134 214257 511799 669650 1462969
1347017 4674783 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 4674783 1347017 1462969 669650 511799 214257 152134 62490 41253 17169 11223 6534 6534 11223 17169 41253 62490 152134
214257 511799 669650 1462969 1347017 4674783
41 1910166 1193140 699913 590520 263256 206671 87783 65114 27129 18809 8624 6624 6624 8624 18809 27129 65114 87783 206671 263256 590520 699913
1193140 1910166 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 1910166 1193140 699913 590520 263256 206671 87783 65114 27129 18809 8624 6624 6624 8624 18809 27129 65114 87783
206671 263256 590520 699913 1193140 1910166
42 1081901 511389 515797 259322 214907 99049 80366 34936 27211 11782 8918 5448 5448 8918 11782 27211 34936 80366 99049 214907 259322 515797
511389 1081901 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 1081901 511389 515797 259322 214907 99049 80366 34936 27211 11782 8918 5448 5448 8918 11782 27211 34936 80366
99049 214907 259322 515797 511389 1081901
43 361393 311554 198515 168300 88360 74083 35915 29935 13604 11224 5544 4900 4900 5544 11224 13604 29935 35915 74083 88360 168300 198515
311554 361393 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 361393 311554 198515 168300 88360 74083 35915 29935 13604 11224 5544 4900 4900 5544 11224 13604 29935 35915
74083 88360 168300 198515 311554 361393
44 138921 106795 98623 60106 50535 28539 24048 12524 10652 5346 4728 3220 3220 4728 5346 10652 12524 24048 28539 50535 60106 98623
106795 138921 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 138921 106795 98623 60106 50535 28539 24048 12524 10652 5346 4728 3220 3220 4728 5346 10652 12524 24048
28539 50535 60106 98623 106795 138921
45 36140 40968 30063 25386 16718 14055 8678 7326 4270 3690 2322 2166 2166 2322 3690 4270 7326 8678 14055 16718 25386 30063
40968 36140 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 36140 40968 30063 25386 16718 14055 8678 7326 4270 3690 2322 2166 2166 2322 3690 4270 7326 8678
14055 16718 25386 30063 40968 36140
46 8939 10421 9235 6924 5879 4227 3570 2468 2086 1458 1282 1078 1078 1282 1458 2086 2468 3570 4227 5879 6924 9235
10421 8939 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 8939 10421 9235 6924 5879 4227 3570 2468 2086 1458 1282 1078 1078 1282 1458 2086 2468 3570
4227 5879 6924 9235 10421 8939
47 1607 2332 1969 1718 1396 1208 968 828 668 584 504 476 476 504 584 668 828 968 1208 1396 1718 1969
2332 1607 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 1607 2332 1969 1718 1396 1208 968 828 668 584 504 476 476 504 584 668 828 968
1208 1396 1718 1969 2332 1607
48 225 361 329 294 263 236 210 190 174 162 154 150 150 154 162 174 190 210 236 263 294 329
361 225 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 225 361 329 294 263 236 210 190 174 162 154 150 150 154 162 174 190 210
236 263 294 329 361 225
49 22 40 39 36 36 36 36 36 36 36 36 36 36 36 36 36 36 36 36 36 36 39
40 22 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 22 40 39 36 36 36 36 36 36 36 36 36 36 36 36 36 36 36
36 36 36 39 40 22
50 0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2
2 2 1 1 1 0
Total 113163723 17287407 16410188 11683205 7393853 4387321 2500189 1387201 757973 415633 240621 167393 167393 240621 415633 757973 1387201 2500189 4387321 7393853 11683205 16410188
17287407 113163723 44 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 44 113163723 17287407 16410188 11683205 7393853 4387321 2500189 1387201 757973 415633 240621 167393 167393 240621 415633 757973 1387201 2500189
4387321 7393853 11683205 16410188 17287407 113163723
Grand total = 2*44 + 4*167393 + 4*240621 + 4*415633 + 4*757973 + 4*1387201 + 4*2500189 + 4*4387321 + 4*7393853 + 4*11683205 + 4*16410188 + 4*17287407 + 4*113163723
= 703178916
Number of times each node (N) is present in a CNSAP of each length (L)
N 0 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
L
3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 2 2 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 1 2
4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 4 4 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 4 8 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 4 4
5 9 7 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5
7 9 8 16 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 10 16 8 9 7 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 5 7 9
6 11 7 5 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 5
7 11 12 22 18 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
12 18 22 12 11 7 5 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 9 5 7 11
7 25 24 23 21 23 10 10 10 10 10 10 10 10 10 10 10 10 10 10 23 21 23
24 25 26 38 40 32 20 12 8 8 8 8 8 8 8 8 8 8 8 8 12 20
32 40 38 26 25 24 23 21 23 10 10 10 10 10 10 10 10 10 10 10 10 10
10 23 21 23 24 25
8 32 27 24 31 28 27 10 10 10 10 10 10 10 10 10 10 10 10 27 28 31 24
27 32 36 62 50 48 46 24 16 12 12 12 12 12 12 12 12 12 12 16 24 46
48 50 62 36 32 27 24 31 28 27 10 10 10 10 10 10 10 10 10 10 10 10
27 28 31 24 27 32
9 68 67 72 93 92 76 71 50 50 50 50 50 50 50 50 50 50 71 76 92 93 72
67 68 76 118 96 104 100 96 56 48 44 44 44 44 44 44 44 44 48 56 96 100
104 96 118 76 68 67 72 93 92 76 71 50 50 50 50 50 50 50 50 50 50 71
76 92 93 72 67 68
10 108 100 99 135 156 154 112 103 78 78 78 78 78 78 78 78 103 112 154 156 135 99
100 108 120 208 176 158 182 180 162 96 88 84 84 84 84 84 84 88 96 162 180 182
158 176 208 120 108 100 99 135 156 154 112 103 78 78 78 78 78 78 78 78 103 112
154 156 135 99 100 108
11 201 191 194 252 302 314 308 222 209 180 180 180 180 180 180 209 222 308 314 302 252 194
191 201 218 358 308 284 304 348 326 280 180 172 168 168 168 168 172 180 280 326 348 304
284 308 358 218 201 191 194 252 302 314 308 222 209 180 180 180 180 180 180 209 222 308
314 302 252 194 191 201
12 320 289 280 367 422 475 481 474 318 301 268 268 268 268 301 318 474 481 475 422 367 280
289 320 346 590 508 466 474 530 594 524 434 292 284 280 280 284 292 434 524 594 530 474
466 508 590 346 320 289 280 367 422 475 481 474 318 301 268 268 268 268 301 318 474 481
475 422 367 280 289 320
13 557 518 513 661 770 852 912 893 882 622 601 564 564 601 622 882 893 912 852 770 661 513
518 557 600 992 856 802 810 898 990 1060 890 740 548 540 540 548 740 890 1060 990 898 810
802 856 992 600 557 518 513 661 770 852 912 893 882 622 601 564 564 601 622 882 893 912
852 770 661 513 518 557
14 910 842 816 1053 1198 1332 1447 1530 1441 1416 1010 985 985 1010 1416 1441 1530 1447 1332 1198 1053 816
842 910 984 1656 1414 1340 1384 1476 1624 1758 1814 1456 1230 984 984 1230 1456 1814 1758 1624 1476 1384
1340 1414 1656 984 910 842 816 1053 1198 1332 1447 1530 1441 1416 1010 985 985 1010 1416 1441 1530 1447
1332 1198 1053 816 842 910
15 1566 1485 1472 1876 2141 2341 2593 2781 2880 2619 2562 2005 2005 2562 2619 2880 2781 2593 2341 2141 1876 1472
1485 1566 1696 2824 2412 2284 2410 2598 2792 3058 3208 3200 2518 2208 2208 2518 3200 3208 3058 2792 2598 2410
2284 2412 2824 1696 1566 1485 1472 1876 2141 2341 2593 2781 2880 2619 2562 2005 2005 2562 2619 2880 2781 2593
2341 2141 1876 1472 1485 1566
16 2618 2468 2428 3103 3496 3803 4105 4536 4834 4940 4358 4276 4276 4358 4940 4834 4536 4105 3803 3496 3103 2428
2468 2618 2840 4774 4070 3844 4046 4458 4770 5062 5544 5642 5470 4638 4638 5470 5642 5544 5062 4770 4458 4046
3844 4070 4774 2840 2618 2468 2428 3103 3496 3803 4105 4536 4834 4940 4358 4276 4276 4358 4940 4834 4536 4105
3803 3496 3103 2428 2468 2618
17 4472 4238 4206 5361 6062 6536 7057 7643 8367 8821 8954 8783 8783 8954 8821 8367 7643 7057 6536 6062 5361 4206
4238 4472 4846 8110 6938 6532 6872 7566 8208 8740 9250 10070 10388 10390 10390 10388 10070 9250 8740 8208 7566 6872
6532 6938 8110 4846 4472 4238 4206 5361 6062 6536 7057 7643 8367 8821 8954 8783 8783 8954 8821 8367 7643 7057
6536 6062 5361 4206 4238 4472
18 7514 7067 6968 8903 10028 10801 11502 12432 13487 14689 16680 17075 17075 16680 14689 13487 12432 11502 10801 10028 8903 6968
7067 7514 8138 13664 11690 10998 11494 12684 13808 14740 15604 17084 19036 21476 21476 19036 17084 15604 14740 13808 12684 11494
10998 11690 13664 8138 7514 7067 6968 8903 10028 10801 11502 12432 13487 14689 16680 17075 17075 16680 14689 13487 12432 11502
10801 10028 8903 6968 7067 7514
19 12731 11993 11853 15137 17101 18380 19591 20983 22774 26504 28786 33712 33712 28786 26504 22774 20983 19591 18380 17101 15137 11853
11993 12731 13778 23078 19762 18600 19434 21312 23306 24998 27114 29498 36068 40226 40226 36068 29498 27114 24998 23306 21312 19434
18600 19762 23078 13778 12731 11993 11853 15137 17101 18380 19591 20983 22774 26504 28786 33712 33712 28786 26504 22774 20983 19591
18380 17101 15137 11853 11993 12731
20 21426 20141 19844 25353 28604 30790 32727 34943 39921 43765 54723 57571 57571 54723 43765 39921 34943 32727 30790 28604 25353 19844
20141 21426 23190 38886 33274 31352 32740 35888 39048 42932 46558 56232 63278 71206 71206 63278 56232 46558 42932 39048 35888 32740
31352 33274 38886 23190 21426 20141 19844 25353 28604 30790 32727 34943 39921 43765 54723 57571 57571 54723 43765 39921 34943 32727
30790 28604 25353 19844 20141 21426
21 36219 34122 33675 42992 48544 52303 55682 62368 67402 84990 91198 99092 99092 91198 84990 67402 62368 55682 52303 48544 42992 33675
34122 36219 39204 65680 56196 52976 55438 60692 66854 73040 88572 99732 114918 118180 118180 114918 99732 88572 73040 66854 60692 55438
52976 56196 65680 39204 36219 34122 33675 42992 48544 52303 55682 62368 67402 84990 91198 99092 99092 91198 84990 67402 62368 55682
52303 48544 42992 33675 34122 36219
22 61086 57534 56740 72429 81773 88053 97572 104923 131862 140590 157199 161836 161836 157199 140590 131862 104923 97572 88053 81773 72429 56740
57534 61086 66136 110868 94826 89406 93610 103640 113774 136762 155536 185448 192126 195290 195290 192126 185448 155536 136762 113774 103640 93610
89406 94826 110868 66136 61086 57534 56740 72429 81773 88053 97572 104923 131862 140590 157199 161836 161836 157199 140590 131862 104923 97572
88053 81773 72429 56740 57534 61086
23 103224 97303 96050 122659 138429 153803 165108 206683 220589 252221 258625 261495 261495 258625 252221 220589 206683 165108 153803 138429 122659 96050
97303 103224 111760 187304 160228 151036 159324 176294 211142 240620 293422 311166 323710 319542 319542 323710 311166 293422 240620 211142 176294 159324
151036 160228 187304 111760 103224 97303 96050 122659 138429 153803 165108 206683 220589 252221 258625 261495 261495 258625 252221 220589 206683 165108
153803 138429 122659 96050 97303 103224
24 174236 164160 162067 206897 239246 259281 321628 344624 405605 416645 422060 417769 417769 422060 416645 405605 344624 321628 259281 239246 206897 162067
164160 174236 188644 316242 270538 256230 270068 322570 370692 461088 497310 528334 524962 527446 527446 524962 528334 497310 461088 370692 322570 270068
256230 270538 316242 188644 174236 164160 162067 206897 239246 259281 321628 344624 405605 416645 422060 417769 417769 422060 416645 405605 344624 321628
259281 239246 206897 162067 164160 174236
25 294274 277359 273814 356525 404347 501055 538064 650719 673205 690409 679691 673358 673358 679691 690409 673205 650719 538064 501055 404347 356525 273814
277359 294274 318590 534010 458290 434066 488740 564276 718170 790832 858526 855912 863206 865492 865492 863206 855912 858526 790832 718170 564276 488740
434066 458290 534010 318590 294274 277359 273814 356525 404347 501055 538064 650719 673205 690409 679691 673358 673358 679691 690409 673205 650719 538064
501055 404347 356525 273814 277359 294274
26 496837 468088 470216 601750 771244 838535 1037387 1079527 1127173 1113343 1099745 1085205 1085205 1099745 1113343 1127173 1079527 1037387 838535 771244 601750 470216
468088 496837 537784 903026 775190 775172 852052 1102134 1242272 1389138 1396014 1407780 1408460 1417754 1417754 1408460 1407780 1396014 1389138 1242272 1102134 852052
775172 775190 903026 537784 496837 468088 470216 601750 771244 838535 1037387 1079527 1127173 1113343 1099745 1085205 1085205 1099745 1113343 1127173 1079527 1037387
838535 771244 601750 470216 468088 496837
27 838739 799965 794322 1139187 1293561 1647851 1723992 1836998 1823713 1805013 1772814 1761791 1761791 1772814 1805013 1823713 1836998 1723992 1647851 1293561 1139187 794322
799965 838739 909646 1526162 1362604 1344888 1674192 1922636 2224952 2267694 2301240 2295202 2306704 2311910 2311910 2306704 2295202 2301240 2267694 2224952 1922636 1674192
1344888 1362604 1526162 909646 838739 799965 794322 1139187 1293561 1647851 1723992 1836998 1823713 1805013 1772814 1761791 1761791 1772814 1805013 1823713 1836998 1723992
1647851 1293561 1139187 794322 799965 838739
28 1426213 1350324 1507465 1911709 2579310 2737754 2986274 2980080 2957320 2896467 2873790 2859726 2859726 2873790 2896467 2957320 2980080 2986274 2737754 2579310 1911709 1507465
1350324 1426213 1535018 2641174 2344860 2627718 2938700 3517130 3652570 3750230 3737242 3758436 3765762 3758976 3758976 3765762 3758436 3737242 3750230 3652570 3517130 2938700
2627718 2344860 2641174 1535018 1426213 1350324 1507465 1911709 2579310 2737754 2986274 2980080 2957320 2896467 2873790 2859726 2859726 2873790 2896467 2957320 2980080 2986274
2737754 2579310 1911709 1507465 1350324 1426213
29 2385143 2485913 2521658 3869594 4276386 4833637 4850511 4833236 4722467 4675750 4640294 4636833 4636833 4640294 4675750 4722467 4833236 4850511 4833637 4276386 3869594 2521658
2485913 2385143 2658204 4488324 4462078 4601284 5472958 5794528 6060304 6046816 6088974 6109036 6099734 6091362 6091362 6099734 6109036 6088974 6046816 6060304 5794528 5472958
4601284 4462078 4488324 2658204 2385143 2485913 2521658 3869594 4276386 4833637 4850511 4833236 4722467 4675750 4640294 4636833 4636833 4640294 4675750 4722467 4833236 4850511
4833637 4276386 3869594 2521658 2485913 2385143
30 4264941 4138435 5265579 6387948 7702927 7840827 7861595 7664749 7571898 7491704 7479463 7470647 7470647 7479463 7491704 7571898 7664749 7861595 7840827 7702927 6387948 5265579
4138435 4264941 4437566 8201834 7718530 8664870 9040810 9662962 9697004 9794692 9829082 9826052 9820152 9804140 9804140 9820152 9826052 9829082 9794692 9697004 9662962 9040810
8664870 7718530 8201834 4437566 4264941 4138435 5265579 6387948 7702927 7840827 7861595 7664749 7571898 7491704 7479463 7470647 7470647 7479463 7491704 7571898 7664749 7861595
7840827 7702927 6387948 5265579 4138435 4264941
31 6539183 8140090 8406055 11546538 12192364 12436597 12082201 11888917 11717139 11685764 11660422 11662543 11662543 11660422 11685764 11717139 11888917 12082201 12436597 12192364 11546538 8406055
8140090 6539183 8010596 13345704 13890154 13748758 14643222 14825520 15116024 15207148 15219998 15208216 15172250 15173946 15173946 15172250 15208216 15219998 15207148 15116024 14825520 14643222
13748758 13890154 13345704 8010596 6539183 8140090 8406055 11546538 12192364 12436597 12082201 11888917 11717139 11685764 11660422 11662543 11662543 11660422 11685764 11717139 11888917 12082201
12436597 12192364 11546538 8406055 8140090 6539183
32 12699223 12790049 15819314 18128439 19370196 18940986 18549601 18167695 18079708 18018563 18017204 18000976 18000976 18017204 18018563 18079708 18167695 18549601 18940986 19370196 18128439 15819314
12790049 12699223 12645748 23775692 22131544 22564580 22287466 22944504 23208316 23327052 23325102 23249092 23257056 23268228 23268228 23257056 23249092 23325102 23327052 23208316 22944504 22287466
22564580 22131544 23775692 12645748 12699223 12790049 15819314 18128439 19370196 18940986 18549601 18167695 18079708 18018563 18017204 18000976 18000976 18017204 18018563 18079708 18167695 18549601
18940986 19370196 18128439 15819314 12790049 12699223
33 15334774 21528309 22320805 26283721 26243637 25653150 24819217 24598713 24476902 24482238 24432975 24409124 24409124 24432975 24482238 24476902 24598713 24819217 25653150 26243637 26283721 22320805
21528309 15334774 20597460 31389324 30874038 28965552 29734248 30447042 30879008 30898962 30704718 30687990 30727386 30794546 30794546 30727386 30687990 30704718 30898962 30879008 30447042 29734248
28965552 30874038 31389324 20597460 15334774 21528309 22320805 26283721 26243637 25653150 24819217 24598713 24476902 24482238 24432975 24409124 24409124 24432975 24482238 24476902 24598713 24819217
25653150 26243637 26283721 22320805 21528309 15334774
34 29442473 30762911 34402464 36914790 37056991 35565454 34875410 34502882 34511278 34455515 34430307 34392879 34392879 34430307 34455515 34511278 34502882 34875410 35565454 37056991 36914790 34402464
30762911 29442473 29313332 49356454 42869636 41025226 41077082 42456702 42969734 42768834 42657174 42612622 42694372 42733140 42733140 42694372 42612622 42657174 42768834 42969734 42456702 41077082
41025226 42869636 49356454 29313332 29442473 30762911 34402464 36914790 37056991 35565454 34875410 34502882 34511278 34455515 34430307 34392879 34392879 34430307 34455515 34511278 34502882 34875410
35565454 37056991 36914790 34402464 30762911 29442473
35 27105182 38169284 38697927 40785968 38855491 37582851 36687137 36634926 36510772 36475132 36412259 36407900 36407900 36412259 36475132 36510772 36634926 36687137 37582851 38855491 40785968 38697927
38169284 27105182 36258334 46190558 42706632 40447532 42494292 43770792 43598070 43433722 43358904 43512612 43520744 43484730 43484730 43520744 43512612 43358904 43433722 43598070 43770792 42494292
40447532 42706632 46190558 36258334 27105182 38169284 38697927 40785968 38855491 37582851 36687137 36634926 36510772 36475132 36412259 36407900 36407900 36412259 36475132 36510772 36634926 36687137
37582851 38855491 40785968 38697927 38169284 27105182
36 43799529 47266610 49374916 49322960 47972375 45783232 45282562 45039790 45059114 44945104 44913451 44896479 44896479 44913451 44945104 45059114 45039790 45282562 45783232 47972375 49322960 49374916
47266610 43799529 44813262 61596476 50197300 48724132 51346912 52654968 52713664 52266790 52360384 52449506 52493212 52443558 52443558 52493212 52449506 52360384 52266790 52713664 52654968 51346912
48724132 50197300 61596476 44813262 43799529 47266610 49374916 49322960 47972375 45783232 45282562 45039790 45059114 44945104 44913451 44896479 44896479 44913451 44945104 45059114 45039790 45282562
45783232 47972375 49322960 49374916 47266610 43799529
37 33853827 44247181 42644440 41782442 38644618 37509254 36806664 36816486 36626073 36581722 36532364 36534055 36534055 36532364 36581722 36626073 36816486 36806664 37509254 38644618 41782442 42644440
44247181 33853827 41763334 40847950 37523636 38185952 40679278 41532078 41017338 41153390 41189558 41264344 41234276 41251740 41251740 41234276 41264344 41189558 41153390 41017338 41532078 40679278
38185952 37523636 40847950 41763334 33853827 44247181 42644440 41782442 38644618 37509254 36806664 36816486 36626073 36581722 36532364 36534055 36534055 36532364 36581722 36626073 36816486 36806664
37509254 38644618 41782442 42644440 44247181 33853827
38 40181201 43938294 44382468 41491026 39631181 37656290 37574624 37319012 37276717 37151512 37142142 37132619 37132619 37142142 37151512 37276717 37319012 37574624 37656290 39631181 41491026 44382468
43938294 40181201 42039746 43464910 34938112 36586342 40472866 40447046 40420102 40270834 40510454 40503050 40506480 40499074 40499074 40506480 40503050 40510454 40270834 40420102 40447046 40472866
36586342 34938112 43464910 42039746 40181201 43938294 44382468 41491026 39631181 37656290 37574624 37319012 37276717 37151512 37142142 37132619 37132619 37142142 37151512 37276717 37319012 37574624
37656290 39631181 41491026 44382468 43938294 40181201
39 27787193 33257888 30583738 28701099 26059698 25527384 24967065 24953537 24752991 24731486 24688864 24687238 24687238 24688864 24731486 24752991 24953537 24967065 25527384 26059698 28701099 30583738
33257888 27787193 31481788 22276336 21546602 24238192 25572062 26210864 25931102 26221548 26204188 26269788 26254492 26263594 26263594 26254492 26269788 26204188 26221548 25931102 26210864 25572062
24238192 21546602 22276336 31481788 27787193 33257888 30583738 28701099 26059698 25527384 24967065 24953537 24752991 24731486 24688864 24687238 24687238 24688864 24731486 24752991 24953537 24967065
25527384 26059698 28701099 30583738 33257888 27787193
40 23188757 25065785 24728476 21963546 20806220 19636674 19719707 19425026 19393230 19300974 19300684 19283082 19283082 19300684 19300974 19393230 19425026 19719707 19636674 20806220 21963546 24728476
25065785 23188757 24355520 17231796 14849824 17246432 19654768 19138438 19514096 19499782 19663524 19619396 19650876 19653466 19653466 19650876 19619396 19663524 19499782 19514096 19138438 19654768
17246432 14849824 17231796 24355520 23188757 25065785 24728476 21963546 20806220 19636674 19719707 19425026 19393230 19300974 19300684 19283082 19283082 19300684 19300974 19393230 19425026 19719707
19636674 20806220 21963546 24728476 25065785 23188757
41 14012152 15610745 14091691 12904091 11603698 11463614 11100750 11095046 10947591 10944891 10907157 10906303 10906303 10907157 10944891 10947591 11095046 11100750 11463614 11603698 12904091 14091691
15610745 14012152 14996992 7260132 7788778 9738362 10148660 10643474 10547038 10805444 10772052 10836044 10823914 10839152 10839152 10823914 10836044 10772052 10805444 10547038 10643474 10148660
9738362 7788778 7260132 14996992 14012152 15610745 14091691 12904091 11603698 11463614 11100750 11095046 10947591 10944891 10907157 10906303 10906303 10907157 10944891 10947591 11095046 11100750
11463614 11603698 12904091 14091691 15610745 14012152
42 8433261 8866095 8534548 7397613 6981710 6563876 6596484 6416022 6417434 6357969 6359293 6345082 6345082 6359293 6357969 6417434 6416022 6596484 6563876 6981710 7397613 8534548
8866095 8433261 8754868 3794714 3925424 5053318 5798204 5631462 5959614 5920412 6025452 6007810 6041772 6034360 6034360 6041772 6007810 6025452 5920412 5959614 5631462 5798204
5053318 3925424 3794714 8754868 8433261 8866095 8534548 7397613 6981710 6563876 6596484 6416022 6417434 6357969 6359293 6345082 6345082 6359293 6357969 6417434 6416022 6596484
6563876 6981710 7397613 8534548 8866095 8433261
43 4157100 4379818 3981238 3591470 3242313 3204140 3072507 3068335 3003305 3005943 2983204 2983964 2983964 2983204 3005943 3003305 3068335 3072507 3204140 3242313 3591470 3981238
4379818 4157100 4301910 1283918 1666796 2288484 2393466 2596890 2592872 2710984 2692674 2738364 2731440 2741736 2741736 2731440 2738364 2692674 2710984 2592872 2596890 2393466
2288484 1666796 1283918 4301910 4157100 4379818 3981238 3591470 3242313 3204140 3072507 3068335 3003305 3005943 2983204 2983964 2983964 2983204 3005943 3003305 3068335 3072507
3204140 3242313 3591470 3981238 4379818 4157100
44 1834399 1868598 1768557 1542944 1451498 1373431 1366147 1317090 1317782 1295359 1296311 1290217 1290217 1296311 1295359 1317782 1317090 1366147 1373431 1451498 1542944 1768557
1868598 1834399 1873650 434580 615896 861510 982928 996700 1085946 1078080 1122398 1116310 1132070 1130522 1130522 1132070 1116310 1122398 1078080 1085946 996700 982928
861510 615896 434580 1873650 1834399 1868598 1768557 1542944 1451498 1373431 1366147 1317090 1317782 1295359 1296311 1290217 1290217 1296311 1295359 1317782 1317090 1366147
1373431 1451498 1542944 1768557 1868598 1834399
45 681445 688937 638990 575775 529606 519257 496779 492731 479554 478880 472868 472926 472926 472868 478880 479554 492731 496779 519257 529606 575775 638990
688937 681445 691658 106828 193328 282960 305310 344620 352810 377036 377504 390428 389220 393272 393272 389220 390428 377504 377036 352810 344620 305310
282960 193328 106828 691658 681445 688937 638990 575775 529606 519257 496779 492731 479554 478880 472868 472926 472926 472868 478880 479554 492731 496779
519257 529606 575775 638990 688937 681445
46 213049 211593 200352 179775 169725 162918 159286 154123 152747 149619 149251 148203 148203 149251 149619 152747 154123 159286 162918 169725 179775 200352
211593 213049 214914 21838 49570 73276 84236 92584 101722 104686 110990 111550 114766 114750 114750 114766 111550 110990 104686 101722 92584 84236
73276 49570 21838 214914 213049 211593 200352 179775 169725 162918 159286 154123 152747 149619 149251 148203 148203 149251 149619 152747 154123 159286
162918 169725 179775 200352 211593 213049
47 54392 53748 51084 46913 44365 43227 41684 40924 39948 39524 39052 38916 38916 39052 39524 39948 40924 41684 43227 44365 46913 51084
53748 54392 54652 3302 10130 15294 17546 20628 22128 24168 25064 26224 26640 27016 27016 26640 26224 25064 24168 22128 20628 17546
15294 10130 3302 54652 54392 53748 51084 46913 44365 43227 41684 40924 39948 39524 39052 38916 38916 39052 39524 39948 40924 41684
43227 44365 46913 51084 53748 54392
48 10813 10539 10148 9463 9077 8856 8592 8432 8256 8160 8072 8040 8040 8072 8160 8256 8432 8592 8856 9077 9463 10148
10539 10813 10836 244 1536 2324 2768 3324 3660 4060 4284 4524 4636 4716 4716 4636 4524 4284 4060 3660 3324 2768
2324 1536 244 10836 10813 10539 10148 9463 9077 8856 8592 8432 8256 8160 8072 8040 8040 8072 8160 8256 8432 8592
8856 9077 9463 10148 10539 10813
49 1700 1661 1625 1547 1514 1486 1462 1442 1426 1414 1406 1402 1402 1406 1414 1426 1442 1462 1486 1514 1547 1625
1661 1700 1702 4 156 228 296 352 400 440 472 496 512 520 520 512 496 472 440 400 352 296
228 156 4 1702 1700 1661 1625 1547 1514 1486 1462 1442 1426 1414 1406 1402 1402 1406 1414 1426 1442 1462
1486 1514 1547 1625 1661 1700
50 76 76 74 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72 74
76 76 76 0 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
8 4 0 76 76 76 74 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72
72 72 72 74 76 76
Total 299463215 346780883 351869298 357944237 348472539 338661739 333926690 331791718 330568534 329780978 329340507 329155339 329155339 329340507 329780978 330568534 331791718 333926690 338661739 348472539 357944237 351869298
346780883 299463215 333039850 381450792 343564062 349122968 368821830 378072928 380487094 381127608 381681568 382110006 382334992 382414430 382414430 382334992 382110006 381681568 381127608 380487094 378072928 368821830
349122968 343564062 381450792 333039850 299463215 346780883 351869298 357944237 348472539 338661739 333926690 331791718 330568534 329780978 329340507 329155339 329155339 329340507 329780978 330568534 331791718 333926690
338661739 348472539 357944237 351869298 346780883 299463215
Grand total = 4*299463215 + 4*329155339 + 4*329340507 + 4*329780978 + 4*330568534 + 4*331791718 + 2*333039850 + 4*333926690 + 4*338661739 + 2*343564062 + 4*346780883 + 4*348472539 + 2*349122968 + 4*351869298 + 4*357944237 +
2*368821830 + 2*378072928 + 2*380487094 + 2*381127608 + 2*381450792 + 2*381681568 + 2*382110006 + 2*382334992 + 2*382414430
= 24999478964
Number of CNSAPs for each starting node (SN) and ending node (EN) pair
SN 0 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
EN
0 0 0 44 86 128 172 326 716 1548 3152 6176 11970 23300 45544 88770 171528 327800 619116 1154036 2116046 3795208 6599012 10958270 16881156
0 2 2 4 10 22 46 96 202 426 898 1892 3986 8398 17694 37280 78546 165490 348674 734628 1547802 3261094 6870862 14476352
23 2 4 26 86 202 426 820 1534 2966 5928 11906 23594 46062 89062 171176 326890 618346 1154188 2117206 3796574 6599666 10958082 16880444
1 0 0 0 22 3 22 40 126 275 514 922 1746 3475 6966 13700 26386 50131 94402 175982 323054 579859 1008406 1674384 2579206
22 0 1 1 1 3 7 15 31 65 137 289 609 1283 2703 5695 11999 25281 53265 112225 236449 498179 1049623 2211471
0 0 0 0 20 58 78 100 187 422 932 1904 3687 7026 13466 25968 49883 94638 176632 323636 579895 1007882 1673654 2578364
2 42 0 0 0 42 6 42 76 238 518 966 1728 3258 6446 12834 25052 47838 89950 167182 306416 549962 956854 1589274 2448332
21 21 0 2 2 2 6 14 30 62 130 274 578 1218 2566 5406 11390 23998 50562 106530 224450 472898 996358 2099246
0 0 0 0 0 38 110 148 190 354 794 1744 3546 6834 12950 24644 47102 89498 167538 307456 550938 957114 1588862 2447508
3 60 60 0 0 0 60 9 60 108 336 729 1356 2418 4536 8913 17604 34056 64356 119457 218340 391302 680724 1130985 1742604
20 20 20 0 3 3 3 9 21 45 93 195 411 867 1827 3849 8109 17085 35997 75843 159795 336675 709347 1494537
20 0 0 0 0 0 54 156 210 270 501 1116 2436 4926 9441 17772 33534 63402 118845 218700 392472 681906 1131657 1742940
4 76 57 76 0 0 0 76 12 76 136 420 908 1684 2992 5580 10876 21276 40712 75940 138652 247876 430640 715340 1102252
57 19 19 19 0 4 4 4 12 28 60 124 260 548 1156 2436 5132 10812 22780 47996 101124 213060 448900 945796
76 38 0 0 0 0 0 68 196 264 340 628 1388 3008 6044 11508 21492 40136 74868 137924 248124 431680 716540 1103524
5 108 90 54 90 0 0 0 90 15 90 160 490 1055 1950 3450 6390 12335 23850 45020 82590 147535 255790 424430 653810
126 54 18 18 18 0 5 5 5 15 35 75 155 325 685 1445 3045 6415 13515 28475 59995 126405 266325 561125
180 126 54 0 0 0 0 0 80 230 310 400 735 1610 3460 6900 13035 24110 44450 81500 146735 255810 425080 654840
6 238 136 102 51 102 0 0 0 102 18 102 180 546 1170 2154 3792 6966 13290 25326 46980 84306 146106 242082 372672
255 119 51 17 17 17 0 6 6 6 18 42 90 186 390 822 1734 3654 7698 16218 34170 71994 151686 319590
340 238 170 68 0 0 0 0 0 90 258 348 450 822 1782 3792 7494 14022 25626 46476 83298 145278 241758 372672
7 560 336 160 112 48 112 0 0 0 112 21 112 196 588 1253 2296 4018 7308 13741 25704 46592 81088 134365 206752
496 240 112 48 16 16 16 0 7 7 7 21 49 105 217 455 959 2023 4263 8981 18921 39865 83993 176967
592 400 288 208 80 0 0 0 0 0 98 280 378 490 889 1904 4004 7826 14469 26040 46214 80262 133553 205968
8 1200 765 420 180 120 45 120 0 0 0 120 24 120 208 616 1304 2376 4128 7416 13688 24984 43856 72936 112312
975 465 225 105 45 15 15 15 0 8 8 8 24 56 120 248 520 1096 2312 4872 10264 21624 45560 95992
1080 705 450 330 240 90 0 0 0 0 0 104 296 400 520 936 1976 4096 7896 14376 25352 43664 72392 111560
9 2352 1554 938 490 196 126 42 126 0 0 0 126 27 126 216 630 1323 2394 4122 7290 13131 23166 38772 59850
1918 910 434 210 98 42 14 14 14 0 9 9 9 27 63 135 279 585 1233 2601 5481 11547 24327 51255
2128 1358 798 490 364 266 98 0 0 0 0 0 108 306 414 540 963 1998 4068 7704 13743 23562 38826 59688
10 4446 2938 1846 1079 546 208 130 39 130 0 0 0 130 30 130 220 630 1310 2350 4000 6930 12070 20250 31340
3757 1781 845 403 195 91 39 13 13 13 0 10 10 10 30 70 150 310 650 1370 2890 6090 12830 27030
4316 2756 1586 871 520 390 286 104 0 0 0 0 0 110 310 420 550 970 1970 3920 7250 12570 20670 31700
11 8436 5508 3408 2076 1188 588 216 132 36 132 0 0 0 132 33 132 220 616 1265 2244 3762 6336 10505 16236
7308 3468 1644 780 372 180 84 36 12 12 12 0 11 11 11 33 77 165 341 715 1507 3179 6699 14113
8604 5556 3264 1764 924 540 408 300 108 0 0 0 0 0 110 308 418 550 957 1892 3652 6534 10857 16676
12 16236 10505 6336 3762 2244 1265 616 220 132 33 132 0 0 0 132 36 132 216 588 1188 2076 3408 5508 8436
14113 6699 3179 1507 715 341 165 77 33 11 11 11 0 12 12 12 36 84 180 372 780 1644 3468 7308
16676 10857 6534 3652 1892 957 550 418 308 110 0 0 0 0 0 108 300 408 540 924 1764 3264 5556 8604
13 31340 20250 12070 6930 4000 2350 1310 630 220 130 30 130 0 0 0 130 39 130 208 546 1079 1846 2938 4446
27030 12830 6090 2890 1370 650 310 150 70 30 10 10 10 0 13 13 13 39 91 195 403 845 1781 3757
31700 20670 12570 7250 3920 1970 970 550 420 310 110 0 0 0 0 0 104 286 390 520 871 1586 2756 4316
14 59850 38772 23166 13131 7290 4122 2394 1323 630 216 126 27 126 0 0 0 126 42 126 196 490 938 1554 2352
51255 24327 11547 5481 2601 1233 585 279 135 63 27 9 9 9 0 14 14 14 42 98 210 434 910 1918
59688 38826 23562 13743 7704 4068 1998 963 540 414 306 108 0 0 0 0 0 98 266 364 490 798 1358 2128
15 112312 72936 43856 24984 13688 7416 4128 2376 1304 616 208 120 24 120 0 0 0 120 45 120 180 420 765 1200
95992 45560 21624 10264 4872 2312 1096 520 248 120 56 24 8 8 8 0 15 15 15 45 105 225 465 975
111560 72392 43664 25352 14376 7896 4096 1976 936 520 400 296 104 0 0 0 0 0 90 240 330 450 705 1080
16 206752 134365 81088 46592 25704 13741 7308 4018 2296 1253 588 196 112 21 112 0 0 0 112 48 112 160 336 560
176967 83993 39865 18921 8981 4263 2023 959 455 217 105 49 21 7 7 7 0 16 16 16 48 112 240 496
205968 133553 80262 46214 26040 14469 7826 4004 1904 889 490 378 280 98 0 0 0 0 0 80 208 288 400 592
17 372672 242082 146106 84306 46980 25326 13290 6966 3792 2154 1170 546 180 102 18 102 0 0 0 102 51 102 136 238
319590 151686 71994 34170 16218 7698 3654 1734 822 390 186 90 42 18 6 6 6 0 17 17 17 51 119 255
372672 241758 145278 83298 46476 25626 14022 7494 3792 1782 822 450 348 258 90 0 0 0 0 0 68 170 238 340
18 653810 424430 255790 147535 82590 45020 23850 12335 6390 3450 1950 1055 490 160 90 15 90 0 0 0 90 54 90 108
561125 266325 126405 59995 28475 13515 6415 3045 1445 685 325 155 75 35 15 5 5 5 0 18 18 18 54 126
654840 425080 255810 146735 81500 44450 24110 13035 6900 3460 1610 735 400 310 230 80 0 0 0 0 0 54 126 180
19 1102252 715340 430640 247876 138652 75940 40712 21276 10876 5580 2992 1684 908 420 136 76 12 76 0 0 0 76 57 76
945796 448900 213060 101124 47996 22780 10812 5132 2436 1156 548 260 124 60 28 12 4 4 4 0 19 19 19 57
1103524 716540 431680 248124 137924 74868 40136 21492 11508 6044 3008 1388 628 340 264 196 68 0 0 0 0 0 38 76
20 1742604 1130985 680724 391302 218340 119457 64356 34056 17604 8913 4536 2418 1356 729 336 108 60 9 60 0 0 0 60 60
1494537 709347 336675 159795 75843 35997 17085 8109 3849 1827 867 411 195 93 45 21 9 3 3 3 0 20 20 20
1742940 1131657 681906 392472 218700 118845 63402 33534 17772 9441 4926 2436 1116 501 270 210 156 54 0 0 0 0 0 20
21 2448332 1589274 956854 549962 306416 167182 89950 47838 25052 12834 6446 3258 1728 966 518 238 76 42 6 42 0 0 0 42
2099246 996358 472898 224450 106530 50562 23998 11390 5406 2566 1218 578 274 130 62 30 14 6 2 2 2 0 21 21
2447508 1588862 957114 550938 307456 167538 89498 47102 24644 12950 6834 3546 1744 794 354 190 148 110 38 0 0 0 0 0
22 2579206 1674384 1008406 579859 323054 175982 94402 50131 26386 13700 6966 3475 1746 922 514 275 126 40 22 3 22 0 0 0
2211471 1049623 498179 236449 112225 53265 25281 11999 5695 2703 1283 609 289 137 65 31 15 7 3 1 1 1 0 22
2578364 1673654 1007882 579895 323636 176632 94638 49883 25968 13466 7026 3687 1904 932 422 187 100 78 58 20 0 0 0 0
23 16881156 10958270 6599012 3795208 2116046 1154036 619116 327800 171528 88770 45544 23300 11970 6176 3152 1548 716 326 172 128 86 44 0 0
14476352 6870862 3261094 1547802 734628 348674 165490 78546 37280 17694 8398 3986 1892 898 426 202 96 46 22 10 4 2 2 0
16880444 10958082 6599666 3796574 2117206 1154188 618346 326890 171176 89062 46062 23594 11906 5928 2966 1534 820 426 202 86 26 4 2 23
24 0 22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
26 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
27 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
28 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
29 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
30 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
31 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
32 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
33 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
34 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
35 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
36 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
37 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
38 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
39 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
40 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
41 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
42 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
43 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
44 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
45 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
46 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
47 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 22 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 22 0
48 23 2 4 26 86 202 426 820 1534 2966 5928 11906 23594 46062 89062 171176 326890 618346 1154188 2117206 3796574 6599666 10958082 16880444
0 2 2 4 10 22 46 96 202 426 898 1892 3986 8398 17694 37280 78546 165490 348674 734628 1547802 3261094 6870862 14476352
0 0 44 86 128 172 326 716 1548 3152 6176 11970 23300 45544 88770 171528 327800 619116 1154036 2116046 3795208 6599012 10958270 16881156
49 0 0 0 0 20 58 78 100 187 422 932 1904 3687 7026 13466 25968 49883 94638 176632 323636 579895 1007882 1673654 2578364
22 0 1 1 1 3 7 15 31 65 137 289 609 1283 2703 5695 11999 25281 53265 112225 236449 498179 1049623 2211471
0 0 0 22 3 22 40 126 275 514 922 1746 3475 6966 13700 26386 50131 94402 175982 323054 579859 1008406 1674384 2579206
50 0 0 0 0 0 38 110 148 190 354 794 1744 3546 6834 12950 24644 47102 89498 167538 307456 550938 957114 1588862 2447508
21 21 0 2 2 2 6 14 30 62 130 274 578 1218 2566 5406 11390 23998 50562 106530 224450 472898 996358 2099246
42 0 0 0 42 6 42 76 238 518 966 1728 3258 6446 12834 25052 47838 89950 167182 306416 549962 956854 1589274 2448332
51 20 0 0 0 0 0 54 156 210 270 501 1116 2436 4926 9441 17772 33534 63402 118845 218700 392472 681906 1131657 1742940
20 20 20 0 3 3 3 9 21 45 93 195 411 867 1827 3849 8109 17085 35997 75843 159795 336675 709347 1494537
60 60 0 0 0 60 9 60 108 336 729 1356 2418 4536 8913 17604 34056 64356 119457 218340 391302 680724 1130985 1742604
52 76 38 0 0 0 0 0 68 196 264 340 628 1388 3008 6044 11508 21492 40136 74868 137924 248124 431680 716540 1103524
57 19 19 19 0 4 4 4 12 28 60 124 260 548 1156 2436 5132 10812 22780 47996 101124 213060 448900 945796
76 57 76 0 0 0 76 12 76 136 420 908 1684 2992 5580 10876 21276 40712 75940 138652 247876 430640 715340 1102252
53 180 126 54 0 0 0 0 0 80 230 310 400 735 1610 3460 6900 13035 24110 44450 81500 146735 255810 425080 654840
126 54 18 18 18 0 5 5 5 15 35 75 155 325 685 1445 3045 6415 13515 28475 59995 126405 266325 561125
108 90 54 90 0 0 0 90 15 90 160 490 1055 1950 3450 6390 12335 23850 45020 82590 147535 255790 424430 653810
54 340 238 170 68 0 0 0 0 0 90 258 348 450 822 1782 3792 7494 14022 25626 46476 83298 145278 241758 372672
255 119 51 17 17 17 0 6 6 6 18 42 90 186 390 822 1734 3654 7698 16218 34170 71994 151686 319590
238 136 102 51 102 0 0 0 102 18 102 180 546 1170 2154 3792 6966 13290 25326 46980 84306 146106 242082 372672
55 592 400 288 208 80 0 0 0 0 0 98 280 378 490 889 1904 4004 7826 14469 26040 46214 80262 133553 205968
496 240 112 48 16 16 16 0 7 7 7 21 49 105 217 455 959 2023 4263 8981 18921 39865 83993 176967
560 336 160 112 48 112 0 0 0 112 21 112 196 588 1253 2296 4018 7308 13741 25704 46592 81088 134365 206752
56 1080 705 450 330 240 90 0 0 0 0 0 104 296 400 520 936 1976 4096 7896 14376 25352 43664 72392 111560
975 465 225 105 45 15 15 15 0 8 8 8 24 56 120 248 520 1096 2312 4872 10264 21624 45560 95992
1200 765 420 180 120 45 120 0 0 0 120 24 120 208 616 1304 2376 4128 7416 13688 24984 43856 72936 112312
57 2128 1358 798 490 364 266 98 0 0 0 0 0 108 306 414 540 963 1998 4068 7704 13743 23562 38826 59688
1918 910 434 210 98 42 14 14 14 0 9 9 9 27 63 135 279 585 1233 2601 5481 11547 24327 51255
2352 1554 938 490 196 126 42 126 0 0 0 126 27 126 216 630 1323 2394 4122 7290 13131 23166 38772 59850
58 4316 2756 1586 871 520 390 286 104 0 0 0 0 0 110 310 420 550 970 1970 3920 7250 12570 20670 31700
3757 1781 845 403 195 91 39 13 13 13 0 10 10 10 30 70 150 310 650 1370 2890 6090 12830 27030
4446 2938 1846 1079 546 208 130 39 130 0 0 0 130 30 130 220 630 1310 2350 4000 6930 12070 20250 31340
59 8604 5556 3264 1764 924 540 408 300 108 0 0 0 0 0 110 308 418 550 957 1892 3652 6534 10857 16676
7308 3468 1644 780 372 180 84 36 12 12 12 0 11 11 11 33 77 165 341 715 1507 3179 6699 14113
8436 5508 3408 2076 1188 588 216 132 36 132 0 0 0 132 33 132 220 616 1265 2244 3762 6336 10505 16236
60 16676 10857 6534 3652 1892 957 550 418 308 110 0 0 0 0 0 108 300 408 540 924 1764 3264 5556 8604
14113 6699 3179 1507 715 341 165 77 33 11 11 11 0 12 12 12 36 84 180 372 780 1644 3468 7308
16236 10505 6336 3762 2244 1265 616 220 132 33 132 0 0 0 132 36 132 216 588 1188 2076 3408 5508 8436
61 31700 20670 12570 7250 3920 1970 970 550 420 310 110 0 0 0 0 0 104 286 390 520 871 1586 2756 4316
27030 12830 6090 2890 1370 650 310 150 70 30 10 10 10 0 13 13 13 39 91 195 403 845 1781 3757
31340 20250 12070 6930 4000 2350 1310 630 220 130 30 130 0 0 0 130 39 130 208 546 1079 1846 2938 4446
62 59688 38826 23562 13743 7704 4068 1998 963 540 414 306 108 0 0 0 0 0 98 266 364 490 798 1358 2128
51255 24327 11547 5481 2601 1233 585 279 135 63 27 9 9 9 0 14 14 14 42 98 210 434 910 1918
59850 38772 23166 13131 7290 4122 2394 1323 630 216 126 27 126 0 0 0 126 42 126 196 490 938 1554 2352
63 111560 72392 43664 25352 14376 7896 4096 1976 936 520 400 296 104 0 0 0 0 0 90 240 330 450 705 1080
95992 45560 21624 10264 4872 2312 1096 520 248 120 56 24 8 8 8 0 15 15 15 45 105 225 465 975
112312 72936 43856 24984 13688 7416 4128 2376 1304 616 208 120 24 120 0 0 0 120 45 120 180 420 765 1200
64 205968 133553 80262 46214 26040 14469 7826 4004 1904 889 490 378 280 98 0 0 0 0 0 80 208 288 400 592
176967 83993 39865 18921 8981 4263 2023 959 455 217 105 49 21 7 7 7 0 16 16 16 48 112 240 496
206752 134365 81088 46592 25704 13741 7308 4018 2296 1253 588 196 112 21 112 0 0 0 112 48 112 160 336 560
65 372672 241758 145278 83298 46476 25626 14022 7494 3792 1782 822 450 348 258 90 0 0 0 0 0 68 170 238 340
319590 151686 71994 34170 16218 7698 3654 1734 822 390 186 90 42 18 6 6 6 0 17 17 17 51 119 255
372672 242082 146106 84306 46980 25326 13290 6966 3792 2154 1170 546 180 102 18 102 0 0 0 102 51 102 136 238
66 654840 425080 255810 146735 81500 44450 24110 13035 6900 3460 1610 735 400 310 230 80 0 0 0 0 0 54 126 180
561125 266325 126405 59995 28475 13515 6415 3045 1445 685 325 155 75 35 15 5 5 5 0 18 18 18 54 126
653810 424430 255790 147535 82590 45020 23850 12335 6390 3450 1950 1055 490 160 90 15 90 0 0 0 90 54 90 108
67 1103524 716540 431680 248124 137924 74868 40136 21492 11508 6044 3008 1388 628 340 264 196 68 0 0 0 0 0 38 76
945796 448900 213060 101124 47996 22780 10812 5132 2436 1156 548 260 124 60 28 12 4 4 4 0 19 19 19 57
1102252 715340 430640 247876 138652 75940 40712 21276 10876 5580 2992 1684 908 420 136 76 12 76 0 0 0 76 57 76
68 1742940 1131657 681906 392472 218700 118845 63402 33534 17772 9441 4926 2436 1116 501 270 210 156 54 0 0 0 0 0 20
1494537 709347 336675 159795 75843 35997 17085 8109 3849 1827 867 411 195 93 45 21 9 3 3 3 0 20 20 20
1742604 1130985 680724 391302 218340 119457 64356 34056 17604 8913 4536 2418 1356 729 336 108 60 9 60 0 0 0 60 60
69 2447508 1588862 957114 550938 307456 167538 89498 47102 24644 12950 6834 3546 1744 794 354 190 148 110 38 0 0 0 0 0
2099246 996358 472898 224450 106530 50562 23998 11390 5406 2566 1218 578 274 130 62 30 14 6 2 2 2 0 21 21
2448332 1589274 956854 549962 306416 167182 89950 47838 25052 12834 6446 3258 1728 966 518 238 76 42 6 42 0 0 0 42
70 2578364 1673654 1007882 579895 323636 176632 94638 49883 25968 13466 7026 3687 1904 932 422 187 100 78 58 20 0 0 0 0
2211471 1049623 498179 236449 112225 53265 25281 11999 5695 2703 1283 609 289 137 65 31 15 7 3 1 1 1 0 22
2579206 1674384 1008406 579859 323054 175982 94402 50131 26386 13700 6966 3475 1746 922 514 275 126 40 22 3 22 0 0 0
71 16880444 10958082 6599666 3796574 2117206 1154188 618346 326890 171176 89062 46062 23594 11906 5928 2966 1534 820 426 202 86 26 4 2 23
14476352 6870862 3261094 1547802 734628 348674 165490 78546 37280 17694 8398 3986 1892 898 426 202 96 46 22 10 4 2 2 0
16881156 10958270 6599012 3795208 2116046 1154036 619116 327800 171528 88770 45544 23300 11970 6176 3152 1548 716 326 172 128 86 44 0 0
Sum of all rows = 4(3*0 + 3*2 + 2*4 + 1*10 + 1*22 + 1*23 + 1*26 + 1*44 + 1*46 + 2*86 + 1*96 + 1*128 + 1*172 + 2*202 + 1*326 + 2*426 + 1*716 + 1*820 + 1*898 + 1*1534 + 1*1548 + 1*1892 + 1*2966 + 1*3152 + 1*3986 +
1*5928 + 1*6176 + 1*8398 + 1*11906 + 1*11970 + 1*17694 + 1*23300 + 1*23594 + 1*37280 + 1*45544 + 1*46062 + 1*78546 + 1*88770 + 1*89062 + 1*165490 + 1*171176 + 1*171528 + 1*326890 + 1*327800 +
1*348674 + 1*618346 + 1*619116 + 1*734628 + 1*1154036 + 1*1154188 + 1*1547802 + 1*2116046 + 1*2117206 + 1*3261094 + 1*3795208 + 1*3796574 + 1*6599012 + 1*6599666 + 1*6870862 + 1*10958082 +
1*10958270 + 1*14476352 + 1*16880444 + 1*16881156) +
4(8*0 + 3*1 + 2*3 + 1*7 + 1*15 + 1*20 + 3*22 + 1*31 + 1*40 + 1*58 + 1*65 + 1*78 + 1*100 + 1*126 + 1*137 + 1*187 + 1*275 + 1*289 + 1*422 + 1*514 + 1*609 + 1*922 + 1*932 + 1*1283 + 1*1746 +
1*1904 + 1*2703 + 1*3475 + 1*3687 + 1*5695 + 1*6966 + 1*7026 + 1*11999 + 1*13466 + 1*13700 + 1*25281 + 1*25968 + 1*26386 + 1*49883 + 1*50131 + 1*53265 + 1*94402 + 1*94638 + 1*112225 +
1*175982 + 1*176632 + 1*236449 + 1*323054 + 1*323636 + 1*498179 + 1*579859 + 1*579895 + 1*1007882 + 1*1008406 + 1*1049623 + 1*1673654 + 1*1674384 + 1*2211471 + 1*2578364 + 1*2579206) +
4(9*0 + 3*2 + 2*6 + 1*14 + 2*21 + 1*30 + 1*38 + 3*42 + 1*62 + 1*76 + 1*110 + 1*130 + 1*148 + 1*190 + 1*238 + 1*274 + 1*354 + 1*518 + 1*578 + 1*794 + 1*966 + 1*1218 + 1*1728 + 1*1744 + 1*2566 +
1*3258 + 1*3546 + 1*5406 + 1*6446 + 1*6834 + 1*11390 + 1*12834 + 1*12950 + 1*23998 + 1*24644 + 1*25052 + 1*47102 + 1*47838 + 1*50562 + 1*89498 + 1*89950 + 1*106530 + 1*167182 + 1*167538 +
1*224450 + 1*306416 + 1*307456 + 1*472898 + 1*549962 + 1*550938 + 1*956854 + 1*957114 + 1*996358 + 1*1588862 + 1*1589274 + 1*2099246 + 1*2447508 + 1*2448332) +
4(9*0 + 3*3 + 2*9 + 4*20 + 1*21 + 1*45 + 1*54 + 4*60 + 1*93 + 1*108 + 1*156 + 1*195 + 1*210 + 1*270 + 1*336 + 1*411 + 1*501 + 1*729 + 1*867 + 1*1116 + 1*1356 + 1*1827 + 1*2418 + 1*2436 +
1*3849 + 1*4536 + 1*4926 + 1*8109 + 1*8913 + 1*9441 + 1*17085 + 1*17604 + 1*17772 + 1*33534 + 1*34056 + 1*35997 + 1*63402 + 1*64356 + 1*75843 + 1*118845 + 1*119457 + 1*159795 + 1*218340 +
1*218700 + 1*336675 + 1*391302 + 1*392472 + 1*680724 + 1*681906 + 1*709347 + 1*1130985 + 1*1131657 + 1*1494537 + 1*1742604 + 1*1742940) +
4(9*0 + 3*4 + 2*12 + 3*19 + 1*28 + 1*38 + 2*57 + 1*60 + 1*68 + 5*76 + 1*124 + 1*136 + 1*196 + 1*260 + 1*264 + 1*340 + 1*420 + 1*548 + 1*628 + 1*908 + 1*1156 + 1*1388 + 1*1684 + 1*2436 + 1*2992 +
1*3008 + 1*5132 + 1*5580 + 1*6044 + 1*10812 + 1*10876 + 1*11508 + 1*21276 + 1*21492 + 1*22780 + 1*40136 + 1*40712 + 1*47996 + 1*74868 + 1*75940 + 1*101124 + 1*137924 + 1*138652 + 1*213060 +
1*247876 + 1*248124 + 1*430640 + 1*431680 + 1*448900 + 1*715340 + 1*716540 + 1*945796 + 1*1102252 + 1*1103524) +
4(9*0 + 3*5 + 2*15 + 3*18 + 1*35 + 3*54 + 1*75 + 1*80 + 4*90 + 1*108 + 2*126 + 1*155 + 1*160 + 1*180 + 1*230 + 1*310 + 1*325 + 1*400 + 1*490 + 1*685 + 1*735 + 1*1055 + 1*1445 + 1*1610 + 1*1950 +
1*3045 + 1*3450 + 1*3460 + 1*6390 + 1*6415 + 1*6900 + 1*12335 + 1*13035 + 1*13515 + 1*23850 + 1*24110 + 1*28475 + 1*44450 + 1*45020 + 1*59995 + 1*81500 + 1*82590 + 1*126405 + 1*146735 +
1*147535 + 1*255790 + 1*255810 + 1*266325 + 1*424430 + 1*425080 + 1*561125 + 1*653810 + 1*654840) +
4(9*0 + 3*6 + 3*17 + 2*18 + 1*42 + 2*51 + 1*68 + 2*90 + 4*102 + 1*119 + 1*136 + 1*170 + 1*180 + 1*186 + 2*238 + 1*255 + 1*258 + 1*340 + 1*348 + 1*390 + 1*450 + 1*546 + 2*822 + 1*1170 + 1*1734 +
1*1782 + 1*2154 + 1*3654 + 1*3792 + 1*3792 + 1*6966 + 1*7494 + 1*7698 + 1*13290 + 1*14022 + 1*16218 + 1*25326 + 1*25626 + 1*34170 + 1*46476 + 1*46980 + 1*71994 + 1*83298 + 1*84306 + 1*145278 +
1*146106 + 1*151686 + 1*241758 + 1*242082 + 1*319590 + 1*372672 + 1*372672) +
4(9*0 + 3*7 + 3*16 + 2*21 + 2*48 + 1*49 + 1*80 + 1*98 + 1*105 + 5*112 + 1*160 + 1*196 + 1*208 + 1*217 + 1*240 + 1*280 + 1*288 + 1*336 + 1*378 + 1*400 + 1*455 + 1*490 + 1*496 + 1*560 + 1*588 +
1*592 + 1*889 + 1*959 + 1*1253 + 1*1904 + 1*2023 + 1*2296 + 1*4004 + 1*4018 + 1*4263 + 1*7308 + 1*7826 + 1*8981 + 1*13741 + 1*14469 + 1*18921 + 1*25704 + 1*26040 + 1*39865 + 1*46214 +
1*46592 + 1*80262 + 1*81088 + 1*83993 + 1*133553 + 1*134365 + 1*176967 + 1*205968 + 1*206752) +
4(9*0 + 3*8 + 3*15 + 2*24 + 2*45 + 1*56 + 1*90 + 1*104 + 1*105 + 5*120 + 1*180 + 1*208 + 1*225 + 1*240 + 1*248 + 1*296 + 1*330 + 1*400 + 1*420 + 1*450 + 1*465 + 2*520 + 1*616 + 1*705 + 1*765 +
1*936 + 1*975 + 1*1080 + 1*1096 + 1*1200 + 1*1304 + 1*1976 + 1*2312 + 1*2376 + 1*4096 + 1*4128 + 1*4872 + 1*7416 + 1*7896 + 1*10264 + 1*13688 + 1*14376 + 1*21624 + 1*24984 + 1*25352 +
1*43664 + 1*43856 + 1*45560 + 1*72392 + 1*72936 + 1*95992 + 1*111560 + 1*112312) +
4(9*0 + 3*9 + 3*14 + 2*27 + 2*42 + 1*63 + 2*98 + 1*108 + 4*126 + 1*135 + 1*196 + 1*210 + 1*216 + 1*266 + 1*279 + 1*306 + 1*364 + 1*414 + 1*434 + 2*490 + 1*540 + 1*585 + 1*630 + 1*798 + 1*910 +
1*938 + 1*963 + 1*1233 + 1*1323 + 1*1358 + 1*1554 + 1*1918 + 1*1998 + 1*2128 + 1*2352 + 1*2394 + 1*2601 + 1*4068 + 1*4122 + 1*5481 + 1*7290 + 1*7704 + 1*11547 + 1*13131 + 1*13743 + 1*23166 +
1*23562 + 1*24327 + 1*38772 + 1*38826 + 1*51255 + 1*59688 + 1*59850) +
4(9*0 + 3*10 + 3*13 + 2*30 + 2*39 + 1*70 + 1*91 + 1*104 + 1*110 + 4*130 + 1*150 + 1*195 + 1*208 + 1*220 + 1*286 + 2*310 + 1*390 + 1*403 + 1*420 + 1*520 + 1*546 + 1*550 + 1*630 + 1*650 + 1*845 +
1*871 + 1*970 + 1*1079 + 1*1310 + 1*1370 + 1*1586 + 1*1781 + 1*1846 + 1*1970 + 1*2350 + 1*2756 + 1*2890 + 1*2938 + 1*3757 + 1*3920 + 1*4000 + 1*4316 + 1*4446 + 1*6090 + 1*6930 + 1*7250 +
1*12070 + 1*12570 + 1*12830 + 1*20250 + 1*20670 + 1*27030 + 1*31340 + 1*31700) +
4(9*0 + 3*11 + 3*12 + 2*33 + 2*36 + 1*77 + 1*84 + 1*108 + 1*110 + 4*132 + 1*165 + 1*180 + 1*216 + 1*220 + 1*300 + 1*308 + 1*341 + 1*372 + 1*408 + 1*418 + 1*540 + 1*550 + 1*588 + 1*616 + 1*715 +
1*780 + 1*924 + 1*957 + 1*1188 + 1*1265 + 1*1507 + 1*1644 + 1*1764 + 1*1892 + 1*2076 + 1*2244 + 1*3179 + 1*3264 + 1*3408 + 1*3468 + 1*3652 + 1*3762 + 1*5508 + 1*5556 + 1*6336 + 1*6534 +
1*6699 + 1*7308 + 1*8436 + 1*8604 + 1*10505 + 1*10857 + 1*14113 + 1*16236 + 1*16676) +
2(70*0 + 2*22) +
22(72*0)
= 452654892 + 69149628 + 65640752 + 46732820 + 29575412 + 17549284 + 10000756 + 5548804 + 3031892 + 1662532 + 962484 + 669572 + 88
= 703178916
Value repetition frequencies = 4(58*1 + 4*2 + 2*3) +
4(56*1 + 1*2 + 2*3 + 1*8) +
4(53*1 + 2*2 + 2*3 + 1*9) +
4(50*1 + 1*2 + 1*3 + 2*4 + 1*9) +
4(48*1 + 2*2 + 2*3 + 1*5 + 1*9) +
4(46*1 + 2*2 + 3*3 + 1*4 + 1*9) +
4(43*1 + 5*2 + 2*3 + 1*4 + 1*9) +
4(48*1 + 2*2 + 2*3 + 1*5 + 1*9) +
4(46*1 + 3*2 + 2*3 + 1*5 + 1*9) +
4(45*1 + 4*2 + 2*3 + 1*4 + 1*9) +
4(47*1 + 3*2 + 2*3 + 1*4 + 1*9) +
4(49*1 + 2*2 + 2*3 + 1*4 + 1*9) +
2(1*2 + 1*70) +
22(1*72)
= 5184
Number of distinct row element sets = 14
Number of rows = 1*2 + 12*4 + 1*22
= 72
Number of distinct values = 575
Distinct values 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Frequency 2128 12 24 20 20 12 20 16 12 20 16 12 20 12 16 24
Distinct values 16 17 18 19 20 21 22 23 24 26 27 28 30 31 33 35
Frequency 12 12 20 12 20 20 20 4 8 4 8 4 12 4 8 4
Distinct values 36 38 39 40 42 44 45 46 48 49 51 54 56 57 58 60
Frequency 8 8 8 4 24 4 12 4 8 4 8 16 4 8 4 20
Distinct values 62 63 65 68 70 75 76 77 78 80 84 86 90 91 93 96
Frequency 4 4 4 8 4 4 24 4 4 8 4 8 28 4 4 4
Distinct values 98 100 102 104 105 108 110 112 119 120 124 126 128 130 132 135
Frequency 12 4 16 8 8 16 12 20 4 20 4 28 4 20 16 4
Distinct values 136 137 148 150 155 156 160 165 170 172 180 186 187 190 195 196
Frequency 8 4 4 4 4 4 8 4 4 4 16 4 4 4 8 12
Distinct values 202 208 210 216 217 220 225 230 238 240 248 255 258 260 264 266
Frequency 8 12 8 8 4 8 4 4 12 8 4 4 4 4 4 4
Distinct values 270 274 275 279 280 286 288 289 296 300 306 308 310 325 326 330
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 12 4 4 4
Distinct values 336 340 341 348 354 364 372 378 390 400 403 408 411 414 418 420
Frequency 8 8 4 4 4 4 4 4 8 12 4 4 4 4 4 12
Distinct values 422 426 434 450 455 465 490 496 501 514 518 520 540 546 548 550
Frequency 4 8 4 8 4 4 16 4 4 4 4 12 8 8 4 8
Distinct values 560 578 585 588 592 609 616 628 630 650 685 705 715 716 729 735
Frequency 4 4 4 8 4 4 8 4 8 4 4 4 4 4 4 4
Distinct values 765 780 794 798 820 822 845 867 871 889 898 908 910 922 924 932
Frequency 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4 4
Distinct values 936 938 957 959 963 966 970 975 1055 1079 1080 1096 1116 1156 1170 1188
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 1200 1218 1233 1253 1265 1283 1304 1310 1323 1356 1358 1370 1388 1445 1507 1534
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 1548 1554 1586 1610 1644 1684 1728 1734 1744 1746 1764 1781 1782 1827 1846 1892
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8
Distinct values 1904 1918 1950 1970 1976 1998 2023 2076 2128 2154 2244 2296 2312 2350 2352 2376
Frequency 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 2394 2418 2436 2566 2601 2703 2756 2890 2938 2966 2992 3008 3045 3152 3179 3258
Frequency 4 4 8 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 3264 3408 3450 3460 3468 3475 3546 3652 3654 3687 3757 3762 3792 3849 3920 3986
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4
Distinct values 4000 4004 4018 4068 4096 4122 4128 4263 4316 4446 4536 4872 4926 5132 5406 5481
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 5508 5556 5580 5695 5928 6044 6090 6176 6336 6390 6415 6446 6534 6699 6834 6900
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 6930 6966 7026 7250 7290 7308 7416 7494 7698 7704 7826 7896 8109 8398 8436 8604
Frequency 4 8 4 4 4 8 4 4 4 4 4 4 4 4 4 4
Distinct values 8913 8981 9441 10264 10505 10812 10857 10876 11390 11508 11547 11906 11970 11999 12070 12335
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 12570 12830 12834 12950 13035 13131 13290 13466 13515 13688 13700 13741 13743 14022 14113 14376
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 14469 16218 16236 16676 17085 17604 17694 17772 18921 20250 20670 21276 21492 21624 22780 23166
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 23300 23562 23594 23850 23998 24110 24327 24644 24984 25052 25281 25326 25352 25626 25704 25968
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 26040 26386 27030 28475 31340 31700 33534 34056 34170 35997 37280 38772 38826 39865 40136 40712
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 43664 43856 44450 45020 45544 45560 46062 46214 46476 46592 46980 47102 47838 47996 49883 50131
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 50562 51255 53265 59688 59850 59995 63402 64356 71994 72392 72936 74868 75843 75940 78546 80262
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 81088 81500 82590 83298 83993 84306 88770 89062 89498 89950 94402 94638 95992 101124 106530 111560
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 112225 112312 118845 119457 126405 133553 134365 137924 138652 145278 146106 146735 147535 151686 159795 165490
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 167182 167538 171176 171528 175982 176632 176967 205968 206752 213060 218340 218700 224450 236449 241758 242082
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 247876 248124 255790 255810 266325 306416 307456 319590 323054 323636 326890 327800 336675 348674 372672 391302
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 4
Distinct values 392472 424430 425080 430640 431680 448900 472898 498179 549962 550938 561125 579859 579895 618346 619116 653810
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 654840 680724 681906 709347 715340 716540 734628 945796 956854 957114 996358 1007882 1008406 1049623 1102252 1103524
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 1130985 1131657 1154036 1154188 1494537 1547802 1588862 1589274 1673654 1674384 1742604 1742940 2099246 2116046 2117206 2211471
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 2447508 2448332 2578364 2579206 3261094 3795208 3796574 6599012 6599666 6870862 10958082 10958270 14476352 16880444 16881156
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Sum of distinct value frequencies = 486*4 + 41*8 + 19*12 + 9*16 + 13*20 + 4*24 + 2*28 + 1*2128
= 5184
Number of SN-EN pairs for which the number of CNSAPs is greater than zero = 2*2 + 40*63 + 4*64 + 4*69
= 3056
Number of SN-EN pairs, with SN != EN, for which the number of CNSAPs equals zero = 2056
Number of possible SN-EN pairs with SN != EN = 71*72
= 5112
a = 25, b = 3
L C
3 8
4 16
5 32
6 44
7 172
8 204
9 560
10 860
11 1608
12 2376
13 4192
14 6644
15 11556
16 18756
17 31540
18 51192
19 84744
20 138488
21 228488
22 374572
23 615716
24 1008340
25 1652108
26 2701616
27 4416496
28 7209260
29 11754068
30 19086276
31 30824672
32 48289344
33 74895232
34 102896880
35 146224992
36 158502500
37 198305852
38 165983036
39 173148332
40 118068608
41 96149304
42 55795624
43 34255744
44 16713204
45 7704500
46 2992132
47 1019116
48 291024
49 68864
50 12688
51 1872
52 80
Total 1481543532
Number of times each node is the starting node (SN) in a CNSAP of each length (L)
SN 0 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
L
3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
4 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 4 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 2 0
5 1 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 0 1 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 4 0 0 0 1 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 5 0 1
6 0 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9
0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 4 0 0 0 0 0 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 9 0 0 0
7 1 1 1 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13 0
1 1 1 2 2 4 8 4 8 4 4 4 4 4 4 4 4 4 4 4 4 4
8 4 8 4 2 2 1 1 1 0 13 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 13 0 1 1 1
8 0 0 0 3 0 17 0 0 0 0 0 0 0 0 0 0 0 0 0 17 0 3
0 0 0 2 2 2 4 18 4 8 4 4 4 4 4 4 4 4 4 4 4 8
4 18 4 2 2 2 0 0 0 3 0 17 0 0 0 0 0 0 0 0 0 0
0 0 0 17 0 3 0 0 0
9 3 3 4 4 14 4 25 4 4 4 4 4 4 4 4 4 4 4 25 4 14 4
4 3 3 4 4 4 6 8 40 8 12 8 8 8 8 8 8 8 8 8 12 8
40 8 6 4 4 4 3 3 4 4 14 4 25 4 4 4 4 4 4 4 4 4
4 4 25 4 14 4 4 3 3
10 4 4 4 9 8 36 8 33 8 8 8 8 8 8 8 8 8 33 8 36 8 9
4 4 4 4 4 4 4 8 8 66 8 12 8 8 8 8 8 8 8 12 8 66
8 8 4 4 4 4 4 4 4 9 8 36 8 33 8 8 8 8 8 8 8 8
8 33 8 36 8 9 4 4 4
11 9 10 11 10 22 18 82 18 47 18 18 18 18 18 18 18 47 18 82 18 22 10
11 10 9 6 6 6 6 8 18 12 104 12 16 12 12 12 12 12 16 12 104 12
18 8 6 6 6 6 9 10 11 10 22 18 82 18 47 18 18 18 18 18 18 18
47 18 82 18 22 10 11 10 9
12 12 12 12 17 12 34 24 150 24 57 24 24 24 24 24 57 24 150 24 34 12 17
12 12 12 10 10 10 10 10 16 46 20 154 20 24 20 20 20 24 20 154 20 46
16 10 10 10 10 10 12 12 12 17 12 34 24 150 24 57 24 24 24 24 24 57
24 150 24 34 12 17 12 12 12
13 21 22 24 23 34 28 71 44 266 44 81 44 44 44 81 44 266 44 71 28 34 23
24 22 21 20 20 20 20 20 22 36 122 40 224 40 44 40 44 40 224 40 122 36
22 20 20 20 20 20 21 22 24 23 34 28 71 44 266 44 81 44 44 44 81 44
266 44 71 28 34 23 24 22 21
14 32 33 33 38 34 52 46 141 66 426 66 107 66 107 66 426 66 141 46 52 34 38
33 33 32 36 36 36 36 36 36 44 68 282 72 314 72 80 72 314 72 282 68 44
36 36 36 36 36 36 32 33 33 38 34 52 46 141 66 426 66 107 66 107 66 426
66 141 46 52 34 38 33 33 32
15 57 62 64 64 75 70 111 102 323 126 674 126 216 126 674 126 323 102 111 70 75 64
64 62 57 62 62 62 62 62 62 64 90 120 586 124 436 124 436 124 586 120 90 64
62 62 62 62 62 62 57 62 64 64 75 70 111 102 323 126 674 126 216 126 674 126
323 102 111 70 75 64 64 62 57
16 96 103 104 109 105 124 112 203 180 681 208 1051 208 1051 208 681 180 203 112 124 105 109
104 103 96 102 102 102 102 102 102 102 112 190 200 1114 204 968 204 1114 200 190 112 102
102 102 102 102 102 102 96 103 104 109 105 124 112 203 180 681 208 1051 208 1051 208 681
180 203 112 124 105 109 104 103 96
17 167 180 186 186 198 193 236 212 408 340 1460 372 2584 372 1460 340 408 212 236 193 198 186
186 180 167 168 168 168 168 168 168 168 170 204 434 332 2426 336 2426 332 434 204 170 168
168 168 168 168 168 168 167 180 186 186 198 193 236 212 408 340 1460 372 2584 372 1460 340
408 212 236 193 198 186 186 180 167
18 280 297 304 310 306 325 314 402 354 829 574 4185 610 4185 574 829 354 402 314 325 306 310
304 297 280 280 280 280 280 280 280 280 280 296 380 1552 556 6004 556 1552 380 296 280 280
280 280 280 280 280 280 280 297 304 310 306 325 314 402 354 829 574 4185 610 4185 574 829
354 402 314 325 306 310 304 297 280
19 473 502 516 520 532 528 571 550 798 650 3514 1002 8844 1002 3514 650 798 550 571 528 532 520
516 502 473 474 474 474 474 474 474 474 478 476 1178 712 6584 940 6584 712 1178 476 478 474
474 474 474 474 474 474 473 502 516 520 532 528 571 550 798 650 3514 1002 8844 1002 3514 650
798 550 571 528 532 520 516 502 473
20 792 839 856 868 865 884 873 1027 912 3825 1152 10011 1640 10011 1152 3825 912 1027 873 884 865 868
856 839 792 806 806 806 806 806 806 810 806 1564 820 7516 1308 8272 1308 7516 820 1564 806 810
806 806 806 806 806 806 792 839 856 868 865 884 873 1027 912 3825 1152 10011 1640 10011 1152 3825
912 1027 873 884 865 868 856 839 792
21 1337 1422 1452 1464 1480 1476 1589 1499 4864 1584 13923 2076 10020 2076 13923 1584 4864 1499 1589 1476 1480 1464
1452 1422 1337 1368 1368 1368 1368 1368 1372 1368 2240 1368 10876 1428 9404 1992 9404 1428 10876 1368 2240 1368
1372 1368 1368 1368 1368 1368 1337 1422 1452 1464 1480 1476 1589 1499 4864 1584 13923 2076 10020 2076 13923 1584
4864 1499 1589 1476 1480 1464 1452 1422 1337
22 2256 2401 2448 2470 2473 2566 2482 6507 2522 21331 2646 12718 2706 12718 2646 21331 2522 6507 2482 2566 2473 2470
2448 2401 2256 2312 2312 2312 2312 2316 2312 3306 2312 15738 2308 17470 2084 3692 2084 17470 2308 15738 2312 3306
2312 2316 2312 2312 2312 2312 2256 2401 2448 2470 2473 2566 2482 6507 2522 21331 2646 12718 2706 12718 2646 21331
2522 6507 2482 2566 2473 2470 2448 2401 2256
23 3817 4066 4152 4180 4281 4204 9060 4228 32808 4262 23003 3210 8710 3210 23003 4262 32808 4228 9060 4204 4281 4180
4152 4066 3817 3898 3898 3898 3902 3898 5022 3898 22360 3894 32696 3360 5224 1316 5224 3360 32696 3894 22360 3898
5022 3898 3902 3898 3898 3898 3817 4066 4152 4180 4281 4204 9060 4228 32808 4262 23003 3210 8710 3210 23003 4262
32808 4228 9060 4204 4281 4180 4152 4066 3817
24 6448 6863 7008 7141 7073 12909 7089 49555 7069 43954 5360 11409 2224 11409 5360 43954 7069 49555 7089 12909 7073 7141
7008 6863 6448 6570 6570 6574 6570 7832 6570 31380 6566 58268 5934 13288 1716 704 1716 13288 5934 58268 6566 31380
6570 7832 6570 6574 6570 6570 6448 6863 7008 7141 7073 12909 7089 49555 7069 43954 5360 11409 2224 11409 5360 43954
7069 49555 7089 12909 7073 7141 7008 6863 6448
25 10891 11588 11923 11922 18900 11970 73517 11934 82594 9593 21504 3024 8428 3024 21504 9593 82594 11934 73517 11970 18900 11922
11923 11588 10891 11084 11088 11084 12492 11084 43766 11080 99498 10344 32026 3972 1288 200 1288 3972 32026 10344 99498 11080
43766 11084 12492 11084 11088 11084 10891 11588 11923 11922 18900 11970 73517 11934 82594 9593 21504 3024 8428 3024 21504 9593
82594 11934 73517 11970 18900 11922 11923 11588 10891
26 18380 19638 19964 28318 20157 107268 20121 149945 17094 45071 5782 10888 2074 10888 5782 45071 17094 149945 20121 107268 20157 28318
19964 19638 18380 18720 18716 20278 18716 61022 18712 163794 17864 72354 8612 4254 420 40 420 4254 8612 72354 17864 163794
18712 61022 18716 20278 18716 18720 18380 19638 19964 28318 20157 107268 20121 149945 17094 45071 5782 10888 2074 10888 5782 45071
17094 149945 20121 107268 20157 28318 19964 19638 18380
27 31118 33002 43316 33948 154681 33996 262940 30228 96000 12076 19843 2722 8488 2722 19843 12076 96000 30228 262940 33996 154681 33948
43316 33002 31118 31614 33338 31614 85540 31610 261324 30642 154168 17606 12976 1462 124 4 124 1462 12976 17606 154168 30642
261324 31610 85540 31614 33338 31614 31118 33002 43316 33948 154681 33996 262940 30228 96000 12076 19843 2722 8488 2722 19843 12076
96000 30228 262940 33996 154681 33948 43316 33002 31118
28 52372 66897 56884 221249 57369 446265 52781 201223 24877 40746 4933 10909 2112 10909 4933 40746 24877 201223 52781 446265 57369 221249
56884 66897 52372 55288 53394 121196 53390 405972 52294 311704 34394 36832 4426 596 22 0 22 596 4426 36832 34394 311704
52294 405972 53390 121196 53394 55288 52372 66897 56884 221249 57369 446265 52781 201223 24877 40746 4933 10909 2112 10909 4933 40746
24877 201223 52781 446265 57369 221249 56884 66897 52372
29 101339 94086 315067 96680 735600 91388 410944 49920 86852 10356 19716 2759 8504 2759 19716 10356 86852 49920 410944 91388 735600 96680
315067 94086 101339 90156 174366 90152 616746 88920 601434 64884 97854 12020 2438 144 2 0 2 144 2438 12020 97854 64884
601434 88920 616746 90152 174366 90156 101339 94086 315067 96680 735600 91388 410944 49920 86852 10356 19716 2759 8504 2759 19716 10356
86852 49920 410944 91388 735600 96680 315067 94086 101339
30 149312 446940 162124 1181240 156977 813983 97105 187081 22465 39907 4918 10937 2114 10937 4918 39907 22465 187081 97105 813983 156977 1181240
162124 446940 149312 255646 152200 919922 150824 1113226 119172 244518 29924 8886 704 24 0 0 0 24 704 8886 29924 244518
119172 1113226 150824 919922 152200 255646 149312 446940 162124 1181240 156977 813983 97105 187081 22465 39907 4918 10937 2114 10937 4918 39907
22465 187081 97105 813983 156977 1181240 162124 446940 149312
31 625725 268150 1853168 267816 1562080 183916 403696 49104 83496 9980 19801 2768 8504 2768 19801 9980 83496 49104 403696 183916 1562080 267816
1853168 268150 625725 256946 1352404 255418 1985840 214446 577376 69406 29596 2826 172 2 0 0 0 2 172 2826 29596 69406
577376 214446 1985840 255418 1352404 256946 625725 268150 1853168 267816 1562080 183916 403696 49104 83496 9980 19801 2768 8504 2768 19801 9980
83496 49104 403696 183916 1562080 267816 1853168 268150 625725
32 425572 2844492 452984 2905166 340137 865929 106065 176339 20797 40082 4953 10938 2114 10938 4953 40082 20797 176339 106065 865929 340137 2905166
452984 2844492 425572 1967104 432114 3428220 379878 1294292 151894 91392 9794 936 26 0 0 0 0 0 26 936 9794 91392
151894 1294292 379878 3428220 432114 1967104 425572 2844492 452984 2905166 340137 865929 106065 176339 20797 40082 4953 10938 2114 10938 4953 40082
20797 176339 106065 865929 340137 2905166 452984 2844492 425572
33 4251261 753620 5241325 616094 1834210 224666 374706 44102 83654 10082 19810 2767 8504 2767 19810 10082 83654 44102 374706 224666 1834210 616094
5241325 753620 4251261 730572 5748670 664872 2766810 316872 264018 30244 4262 196 2 0 0 0 0 0 2 196 4262 30244
264018 316872 2766810 664872 5748670 730572 4251261 753620 5241325 616094 1834210 224666 374706 44102 83654 10082 19810 2767 8504 2767 19810 10082
83654 44102 374706 224666 1834210 616094 5241325 753620 4251261
34 1200688 9169859 1092784 3814351 464081 799967 94373 175637 20961 40121 4953 10938 2114 10938 4953 40121 20961 175637 94373 799967 464081 3814351
1092784 9169859 1200688 9395014 1152984 5664258 635416 717994 85044 17070 1092 28 0 0 0 0 0 0 0 28 1092 17070
85044 717994 635416 5664258 1152984 9395014 1200688 9169859 1092784 3814351 464081 799967 94373 175637 20961 40121 4953 10938 2114 10938 4953 40121
20961 175637 94373 799967 464081 3814351 1092784 9169859 1200688
35 15291957 1885402 7744200 931976 1713607 203328 369500 43936 83803 10080 19805 2766 8502 2766 19805 10080 83803 43936 369500 203328 1713607 931976
7744200 1885402 15291957 1985434 11148980 1233290 1847200 221270 61912 4958 228 2 0 0 0 0 0 0 0 2 228 4958
61912 221270 1847200 1233290 11148980 1985434 15291957 1885402 7744200 931976 1713607 203328 369500 43936 83803 10080 19805 2766 8502 2766 19805 10080
83803 43936 369500 203328 1713607 931976 7744200 1885402 15291957
36 3079704 15114853 1811456 3664324 437597 777904 91937 176004 20969 40105 4946 10937 2114 10937 4946 40105 20969 176004 91937 777904 437597 3664324
1811456 15114853 3079704 21175148 2330214 4515216 539314 207032 19322 1388 30 0 0 0 0 0 0 0 0 0 30 1388
19322 207032 539314 4515216 2330214 21175148 3079704 15114853 1811456 3664324 437597 777904 91937 176004 20969 40105 4946 10937 2114 10937 4946 40105
20969 176004 91937 777904 437597 3664324 1811456 15114853 3079704
37 26862975 3367642 7657170 930408 1633258 192044 369843 43904 83730 10051 19792 2760 8500 2760 19792 10051 83730 43904 369843 192044 1633258 930408
7657170 3367642 26862975 4306456 10527418 1243636 645766 66756 6982 256 2 0 0 0 0 0 0 0 0 0 2 256
6982 66756 645766 1243636 10527418 4306456 26862975 3367642 7657170 930408 1633258 192044 369843 43904 83730 10051 19792 2760 8500 2760 19792 10051
83730 43904 369843 192044 1633258 930408 7657170 3367642 26862975
38 5773584 14775475 1920372 3328022 398241 771027 91361 175596 20825 40058 4929 10930 2112 10930 4929 40058 20825 175596 91361 771027 398241 3328022
1920372 14775475 5773584 23498170 2735268 1893886 209028 30582 1600 32 0 0 0 0 0 0 0 0 0 0 0 32
1600 30582 209028 1893886 2735268 23498170 5773584 14775475 1920372 3328022 398241 771027 91361 175596 20825 40058 4929 10930 2112 10930 4929 40058
20825 175596 91361 771027 398241 3328022 1920372 14775475 5773584
39 24490277 3724442 6137136 808648 1530608 187384 364301 43220 83424 9966 19762 2746 8490 2746 19762 9966 83424 43220 364301 187384 1530608 808648
6137136 3724442 24490277 5777062 5253224 602814 120356 8098 292 2 0 0 0 0 0 0 0 0 0 0 0 2
292 8098 120356 602814 5253224 5777062 24490277 3724442 6137136 808648 1530608 187384 364301 43220 83424 9966 19762 2746 8490 2746 19762 9966
83424 43220 364301 187384 1530608 808648 6137136 3724442 24490277
40 6389164 9547381 1550560 2649548 370665 704330 88097 171307 20410 39860 4882 10912 2098 10912 4882 39860 20410 171307 88097 704330 370665 2649548
1550560 9547381 6389164 13845772 1620958 434232 35010 1968 34 0 0 0 0 0 0 0 0 0 0 0 0 0
34 1968 35010 434232 1620958 13845772 6389164 9547381 1550560 2649548 370665 704330 88097 171307 20410 39860 4882 10912 2098 10912 4882 39860
20410 171307 88097 704330 370665 2649548 1550560 9547381 6389164
41 12380561 2635228 3701416 673198 1146268 171702 318860 41243 80258 9716 19627 2712 8464 2712 19627 9716 80258 41243 318860 171702 1146268 673198
3701416 2635228 12380561 4104008 1455786 133636 10854 324 2 0 0 0 0 0 0 0 0 0 0 0 0 0
2 324 10854 133636 1455786 4104008 12380561 2635228 3701416 673198 1146268 171702 318860 41243 80258 9716 19627 2712 8464 2712 19627 9716
80258 41243 318860 171702 1146268 673198 3701416 2635228 12380561
42 3766676 4066839 1030900 1463738 300093 480677 78609 141592 19241 37530 4736 10813 2064 10813 4736 37530 19241 141592 78609 480677 300093 1463738
1030900 4066839 3766676 4578258 460612 51710 2244 36 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 36 2244 51710 460612 4578258 3766676 4066839 1030900 1463738 300093 480677 78609 141592 19241 37530 4736 10813 2064 10813 4736 37530
19241 141592 78609 480677 300093 1463738 1030900 4066839 3766676
43 3610821 1231486 1440056 425372 555375 130468 194609 35646 61414 9018 17922 2614 8324 2614 17922 9018 61414 35646 194609 130468 555375 425372
1440056 1231486 3610821 1457158 219904 12518 364 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 364 12518 219904 1457158 3610821 1231486 1440056 425372 555375 130468 194609 35646 61414 9018 17922 2614 8324 2614 17922 9018
61414 35646 194609 130468 555375 425372 1440056 1231486 3610821
44 1137516 1086129 450140 490281 168073 200989 55226 75611 15954 26016 4314 9545 1970 9545 4314 26016 15954 75611 55226 200989 168073 490281
450140 1086129 1137516 852912 59402 2692 38 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 38 2692 59402 852912 1137516 1086129 450140 490281 168073 200989 55226 75611 15954 26016 4314 9545 1970 9545 4314 26016
15954 75611 55226 200989 168073 490281 450140 1086129 1137516
45 601267 339946 332190 156288 157216 63223 69086 22604 28126 7088 11145 2336 6632 2336 11145 7088 28126 22604 69086 63223 157216 156288
332190 339946 601267 248020 16166 400 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 2 400 16166 248020 601267 339946 332190 156288 157216 63223 69086 22604 28126 7088 11145 2336 6632 2336 11145 7088
28126 22604 69086 63223 157216 156288 332190 339946 601267
46 168832 169395 102556 93334 50297 47334 22377 22444 8848 10149 3176 5252 1680 5252 3176 10149 8848 22444 22377 47334 50297 93334
102556 169395 168832 83318 3040 40 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 40 3040 83318 168832 169395 102556 93334 50297 47334 22377 22444 8848 10149 3176 5252 1680 5252 3176 10149
8848 22444 22377 47334 50297 93334 102556 169395 168832
47 52837 46758 41529 27524 24161 14850 13282 7358 6953 3326 3738 1598 2762 1598 3738 3326 6953 7358 13282 14850 24161 27524
41529 46758 52837 18522 444 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 444 18522 52837 46758 41529 27524 24161 14850 13282 7358 6953 3326 3738 1598 2762 1598 3738 3326
6953 7358 13282 14850 24161 27524 41529 46758 52837
48 11220 13390 10344 8958 6562 5673 3930 3453 2210 2078 1242 1422 930 1422 1242 2078 2210 3453 3930 5673 6562 8958
10344 13390 11220 3576 42 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 42 3576 11220 13390 10344 8958 6562 5673 3930 3453 2210 2078 1242 1422 930 1422 1242 2078
2210 3453 3930 5673 6562 8958 10344 13390 11220
49 2053 2628 2336 1927 1694 1356 1197 924 836 636 620 492 548 492 620 636 836 924 1197 1356 1694 1927
2336 2628 2053 484 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 2 484 2053 2628 2336 1927 1694 1356 1197 924 836 636 620 492 548 492 620 636
836 924 1197 1356 1694 1927 2336 2628 2053
50 264 401 360 331 289 265 232 216 192 184 168 168 160 168 168 184 192 216 232 265 289 331
360 401 264 44 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 44 264 401 360 331 289 265 232 216 192 184 168 168 160 168 168 184
192 216 232 265 289 331 360 401 264
51 24 42 41 38 37 38 38 38 38 38 38 38 38 38 38 38 38 38 38 38 37 38
41 42 24 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 24 42 41 38 37 38 38 38 38 38 38 38 38 38 38 38
38 38 38 38 37 38 41 42 24
52 0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2
2 2 2 2 2 1 1 1 0
Total 110502196 71732532 43199486 24848125 13855760 7555410 4051428 2145286 1126676 592054 319772 193058 156272 193058 319772 592054 1126676 2145286 4051428 7555410 13855760 24848125
43199486 71732532 110502196 94762612 44976862 21347220 10131970 4808928 2282498 1083444 514462 244664 117150 57764 31970 24768 31970 57764 117150 244664 514462 1083444
2282498 4808928 10131970 21347220 44976862 94762612 110502196 71732532 43199486 24848125 13855760 7555410 4051428 2145286 1126676 592054 319772 193058 156272 193058 319772 592054
1126676 2145286 4051428 7555410 13855760 24848125 43199486 71732532 110502196
Grand total = 1*24768 + 2*31970 + 2*57764 + 2*117150 + 2*156272 + 4*193058 + 2*244664 + 4*319772 + 2*514462 + 4*592054 + 2*1083444 + 4*1126676 + 4*2145286 + 2*2282498 + 4*4051428 + 2*4808928 + 4*7555410 + 2*10131970 + 4*13855760 +
2*21347220 + 4*24848125 + 4*43199486 + 2*44976862 + 4*71732532 + 2*94762612 + 4*110502196
= 1481543532
Number of times each node is the ending node (EN) in a CNSAP of each length (L)
EN 0 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
L
3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 2
4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 4
5 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 8
6 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 11
7 19 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
2 2 19 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 19 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
2 2 2 2 2 2 2 2 19
8 29 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
2 1 29 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 29 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2
2 2 2 2 2 2 2 1 29
9 52 4 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
7 4 52 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 52 4 7 8 8 8 8 8 8 8 8 8 8 8 8 8
8 8 8 8 8 8 7 4 52
10 90 5 7 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11
7 5 90 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 90 5 7 11 12 12 12 12 12 12 12 12 12 12 12 12
12 12 12 12 12 11 7 5 90
11 158 9 14 17 23 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 23 17
14 9 158 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 158 9 14 17 23 24 24 24 24 24 24 24 24 24 24 24
24 24 24 24 23 17 14 9 158
12 265 11 17 22 25 33 34 34 34 34 34 34 34 34 34 34 34 34 34 33 25 22
17 11 265 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 265 11 17 22 25 33 34 34 34 34 34 34 34 34 34 34
34 34 34 33 25 22 17 11 265
13 445 21 31 36 46 53 63 64 64 64 64 64 64 64 64 64 64 64 63 53 46 36
31 21 445 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 445 21 31 36 46 53 63 64 64 64 64 64 64 64 64 64
64 64 63 53 46 36 31 21 445
14 741 34 46 55 60 76 89 101 102 102 102 102 102 102 102 102 102 101 89 76 60 55
46 34 741 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 741 34 46 55 60 76 89 101 102 102 102 102 102 102 102 102
102 101 89 76 60 55 46 34 741
15 1248 63 85 95 107 120 152 173 187 188 188 188 188 188 188 188 187 173 152 120 107 95
85 63 1248 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 1248 63 85 95 107 120 152 173 187 188 188 188 188 188 188 188
187 173 152 120 107 95 85 63 1248
16 2107 104 139 154 163 181 202 262 293 309 310 310 310 310 310 309 293 262 202 181 163 154
139 104 2107 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 2107 104 139 154 163 181 202 262 293 309 310 310 310 310 310 309
293 262 202 181 163 154 139 104 2107
17 3571 177 241 263 280 295 335 374 478 521 539 540 540 540 539 521 478 374 335 295 280 263
241 177 3571 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 3571 177 241 263 280 295 335 374 478 521 539 540 540 540 539 521
478 374 335 295 280 263 241 177 3571
18 6039 290 395 433 448 470 493 571 644 812 869 889 890 889 869 812 644 571 493 470 448 433
395 290 6039 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 6039 290 395 433 448 470 493 571 644 812 869 889 890 889 869 812
644 571 493 470 448 433 395 290 6039
19 10202 489 667 731 760 780 822 871 1029 1164 1420 1493 1514 1493 1420 1164 1029 871 822 780 760 731
667 489 10202 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 10202 489 667 731 760 780 822 871 1029 1164 1420 1493 1514 1493 1420 1164
1029 871 822 780 760 731 667 489 10202
20 17211 822 1113 1221 1259 1287 1314 1394 1491 1805 2046 2417 2484 2417 2046 1805 1491 1394 1314 1287 1259 1221
1113 822 17211 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 17211 822 1113 1221 1259 1287 1314 1394 1491 1805 2046 2417 2484 2417 2046 1805
1491 1394 1314 1287 1259 1221 1113 822 17211
21 29041 1397 1887 2065 2136 2168 2215 2266 2436 2633 3238 3623 4032 3623 3238 2633 2436 2266 2215 2168 2136 2065
1887 1397 29041 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 29041 1397 1887 2065 2136 2168 2215 2266 2436 2633 3238 3623 4032 3623 3238 2633
2436 2266 2215 2168 2136 2065 1887 1397 29041
22 49015 2362 3185 3479 3587 3638 3671 3755 3854 4205 4568 5561 5526 5561 4568 4205 3854 3755 3671 3638 3587 3479
3185 2362 49015 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 49015 2362 3185 3479 3587 3638 3671 3755 3854 4205 4568 5561 5526 5561 4568 4205
3854 3755 3671 3638 3587 3479 3185 2362 49015
23 82764 3995 5393 5883 6068 6142 6201 6257 6428 6609 7184 7015 7978 7015 7184 6609 6428 6257 6201 6142 6068 5883
5393 3995 82764 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 82764 3995 5393 5883 6068 6142 6201 6257 6428 6609 7184 7015 7978 7015 7184 6609
6428 6257 6201 6142 6068 5883 5393 3995 82764
24 139761 6736 9099 9925 10219 10340 10396 10485 10556 10727 9970 9909 7924 9909 9970 10727 10556 10485 10396 10340 10219 9925
9099 6736 139761 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 139761 6736 9099 9925 10219 10340 10396 10485 10556 10727 9970 9909 7924 9909 9970 10727
10556 10485 10396 10340 10219 9925 9099 6736 139761
25 236003 11365 15361 16759 17256 17444 17544 17578 17544 16245 14722 10013 10384 10013 14722 16245 17544 17578 17544 17444 17256 16759
15361 11365 236003 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 236003 11365 15361 16759 17256 17444 17544 17578 17544 16245 14722 10013 10384 10013 14722 16245
17544 17578 17544 17444 17256 16759 15361 11365 236003
26 398469 19174 25911 28277 29103 29409 29499 29371 27600 24757 16304 13067 8926 13067 16304 24757 27600 29371 29499 29409 29103 28277
25911 19174 398469 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 398469 19174 25911 28277 29103 29409 29499 29371 27600 24757 16304 13067 8926 13067 16304 24757
27600 29371 29499 29409 29103 28277 25911 19174 398469
27 672740 32377 43743 47739 49143 49605 49547 47353 43143 29747 22098 11425 10926 11425 22098 29747 43143 47353 49547 49605 49143 47739
43743 32377 672740 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 672740 32377 43743 47739 49143 49605 49547 47353 43143 29747 22098 11425 10926 11425 22098 29747
43143 47353 49547 49605 49143 47739 43743 32377 672740
28 1135690 54674 73849 80588 82914 83446 80970 75240 55138 41277 19978 14007 9088 14007 19978 41277 55138 75240 80970 83446 82914 80588
73849 54674 1135690 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 1135690 54674 73849 80588 82914 83446 80970 75240 55138 41277 19978 14007 9088 14007 19978 41277
55138 75240 80970 83446 82914 80588 73849 54674 1135690
29 1916466 92333 124710 136034 139694 137766 130498 101428 78294 39012 25046 11753 10964 11753 25046 39012 78294 101428 130498 137766 139694 136034
124710 92333 1916466 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 1916466 92333 124710 136034 139694 137766 130498 101428 78294 39012 25046 11753 10964 11753 25046 39012
78294 101428 130498 137766 139694 136034 124710 92333 1916466
30 3221605 155897 210528 229325 232113 224391 183805 146903 77505 49745 21098 14109 9090 14109 21098 49745 77505 146903 183805 224391 232113 229325
210528 155897 3221605 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 3221605 155897 210528 229325 232113 224391 183805 146903 77505 49745 21098 14109 9090 14109 21098 49745
77505 146903 183805 224391 232113 229325 210528 155897 3221605
31 5385226 263160 355073 382811 381293 327917 271505 153117 100821 42479 25513 11771 10962 11771 25513 42479 100821 153117 271505 327917 381293 382811
355073 263160 5385226 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 5385226 263160 355073 382811 381293 327917 271505 153117 100821 42479 25513 11771 10962 11771 25513 42479
100821 153117 271505 327917 381293 382811 355073 263160 5385226
32 8654239 443849 594343 632792 573968 493184 298192 202926 87424 51562 21208 14105 9088 14105 21208 51562 87424 202926 298192 493184 573968 632792
594343 443849 8654239 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 8654239 443849 594343 632792 573968 493184 298192 202926 87424 51562 21208 14105 9088 14105 21208 51562
87424 202926 298192 493184 573968 632792 594343 443849 8654239
33 13796388 743466 986445 974516 877480 570120 402696 179858 107096 42986 25516 11762 10956 11762 25516 42986 107096 179858 402696 570120 877480 974516
986445 743466 13796388 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 13796388 743466 986445 974516 877480 570120 402696 179858 107096 42986 25516 11762 10956 11762 25516 42986
107096 179858 402696 570120 877480 974516 986445 743466 13796388
34 18822801 1234563 1541195 1509734 1062651 783599 366339 222571 89355 51605 21175 14093 9078 14093 21175 51605 89355 222571 366339 783599 1062651 1509734
1541195 1234563 18822801 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 18822801 1234563 1541195 1509734 1062651 783599 366339 222571 89355 51605 21175 14093 9078 14093 21175 51605
89355 222571 366339 783599 1062651 1509734 1541195 1234563 18822801
35 27269663 1928122 2406107 1897430 1483488 733685 458727 186153 107375 42835 25453 11739 10940 11739 25453 42835 107375 186153 458727 733685 1483488 1897430
2406107 1928122 27269663 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 27269663 1928122 2406107 1897430 1483488 733685 458727 186153 107375 42835 25453 11739 10940 11739 25453 42835
107375 186153 458727 733685 1483488 1897430 2406107 1928122 27269663
36 27733365 2997593 3076969 2676796 1424975 928799 383910 223548 88702 51316 21070 14054 9056 14054 21070 51316 88702 223548 383910 928799 1424975 2676796
3076969 2997593 27733365 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 27733365 2997593 3076969 2676796 1424975 928799 383910 223548 88702 51316 21070 14054 9056 14054 21070 51316
88702 223548 383910 928799 1424975 2676796 3076969 2997593 27733365
37 35470590 3748954 4338139 2596338 1815440 772989 460203 183064 106006 42346 25274 11669 10900 11669 25274 42346 106006 183064 460203 772989 1815440 2596338
4338139 3748954 35470590 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 35470590 3748954 4338139 2596338 1815440 772989 460203 183064 106006 42346 25274 11669 10900 11669 25274 42346
106006 183064 460203 772989 1815440 2596338 4338139 3748954 35470590
38 25764691 5191703 4094469 3291042 1472919 919127 368754 217012 86341 50493 20775 13939 8988 13939 20775 50493 86341 217012 368754 919127 1472919 3291042
4094469 5191703 25764691 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 25764691 5191703 4094469 3291042 1472919 919127 368754 217012 86341 50493 20775 13939 8988 13939 20775 50493
86341 217012 368754 919127 1472919 3291042 4094469 5191703 25764691
39 27965829 4544764 5076585 2501786 1712796 699659 429301 171764 102012 40947 24778 11473 10776 11473 24778 40947 102012 171764 429301 699659 1712796 2501786
5076585 4544764 27965829 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 27965829 4544764 5076585 2501786 1712796 699659 429301 171764 102012 40947 24778 11473 10776 11473 24778 40947
102012 171764 429301 699659 1712796 2501786 5076585 4544764 27965829
40 15198217 5424491 3467223 2785508 1177511 782971 317404 198116 79637 48127 19942 13615 8780 13615 19942 48127 79637 198116 317404 782971 1177511 2785508
3467223 5424491 15198217 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 15198217 5424491 3467223 2785508 1177511 782971 317404 198116 79637 48127 19942 13615 8780 13615 19942 48127
79637 198116 317404 782971 1177511 2785508 3467223 5424491 15198217
41 13073972 3296486 3613989 1656964 1228912 509465 348205 141968 90890 36976 23363 10923 10424 10923 23363 36976 90890 141968 348205 509465 1228912 1656964
3613989 3296486 13073972 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 13073972 3296486 3613989 1656964 1228912 509465 348205 141968 90890 36976 23363 10923 10424 10923 23363 36976
90890 141968 348205 509465 1228912 1656964 3613989 3296486 13073972
42 5682963 3161455 1858407 1552688 676283 512075 214280 152212 62583 41595 17575 12690 8200 12690 17575 41595 62583 152212 214280 512075 676283 1552688
1858407 3161455 5682963 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 5682963 3161455 1858407 1552688 676283 512075 214280 152212 62583 41595 17575 12690 8200 12690 17575 41595
62583 152212 214280 512075 676283 1552688 1858407 3161455 5682963
43 3601387 1453570 1504695 728046 592208 263301 206709 87828 65275 27319 19494 9378 9450 9378 19494 27319 65275 87828 206709 263301 592208 728046
1504695 1453570 3601387 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 3601387 1453570 1504695 728046 592208 263301 206709 87828 65275 27319 19494 9378 9450 9378 19494 27319
65275 87828 206709 263301 592208 728046 1504695 1453570 3601387
44 1289059 1004125 618185 524708 259615 214925 99070 80440 35023 27530 12118 10200 6606 10200 12118 27530 35023 80440 99070 214925 259615 524708
618185 1004125 1289059 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 1289059 1004125 618185 524708 259615 214925 99070 80440 35023 27530 12118 10200 6606 10200 12118 27530
35023 80440 99070 214925 259615 524708 618185 1004125 1289059
45 570098 371162 352523 200446 168344 88371 74119 35955 30084 13752 11796 6008 6932 6008 11796 13752 30084 35955 74119 88371 168344 200446
352523 371162 570098 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 570098 371162 352523 200446 168344 88371 74119 35955 30084 13752 11796 6008 6932 6008 11796 13752
30084 35955 74119 88371 168344 200446 352523 371162 570098
46 163817 168351 117217 98954 60111 50551 28556 24116 12588 10902 5516 5572 3564 5572 5516 10902 12588 24116 28556 50551 60111 98954
117217 168351 163817 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 163817 168351 117217 98954 60111 50551 28556 24116 12588 10902 5516 5572 3564 5572 5516 10902
12588 24116 28556 50551 60111 98954 117217 168351 163817
47 48369 48400 43301 30102 25394 16727 14086 8706 7434 4322 4026 2418 2986 2418 4026 4322 7434 8706 14086 16727 25394 30102
43301 48400 48369 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 48369 48400 43301 30102 25394 16727 14086 8706 7434 4322 4026 2418 2986 2418 4026 4322
7434 8706 14086 16727 25394 30102 43301 48400 48369
48 10267 13499 10783 9240 6927 5891 4238 3616 2478 2210 1486 1538 1166 1538 1486 2210 2478 3616 4238 5891 6927 9240
10783 13499 10267 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 10267 13499 10783 9240 6927 5891 4238 3616 2478 2210 1486 1538 1166 1538 1486 2210
2478 3616 4238 5891 6927 9240 10783 13499 10267
49 1876 2650 2373 1970 1724 1400 1228 968 868 680 652 536 580 536 652 680 868 968 1228 1400 1724 1970
2373 2650 1876 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 1876 2650 2373 1970 1724 1400 1228 968 868 680 652 536 580 536 652 680
868 968 1228 1400 1724 1970 2373 2650 1876
50 245 403 363 332 293 270 236 220 196 188 172 172 164 172 172 188 196 220 236 270 293 332
363 403 245 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 245 403 363 332 293 270 236 220 196 188 172 172 164 172 172 188
196 220 236 270 293 332 363 403 245
51 23 42 41 38 38 38 38 38 38 38 38 38 38 38 38 38 38 38 38 38 38 38
41 42 23 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 23 42 41 38 38 38 38 38 38 38 38 38 38 38 38 38
38 38 38 38 38 38 41 42 23
52 0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2
2 2 2 2 2 1 1 1 0
Total 238426841 36423151 34574858 24615366 15577800 9242758 5265696 2918726 1589096 860214 476768 294262 240648 294262 476768 860214 1589096 2918726 5265696 9242758 15577800 24615366
34574858 36423151 238426841 46 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 46 238426841 36423151 34574858 24615366 15577800 9242758 5265696 2918726 1589096 860214 476768 294262 240648 294262 476768 860214
1589096 2918726 5265696 9242758 15577800 24615366 34574858 36423151 238426841
Grand total = 2*46 + 2*240648 + 4*294262 + 4*476768 + 4*860214 + 4*1589096 + 4*2918726 + 4*5265696 + 4*9242758 + 4*15577800 + 4*24615366 + 4*34574858 + 4*36423151 + 4*238426841
= 1481543532
Number of times each node (N) is present in a CNSAP of each length (L)
N 0 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
L
3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 2 2 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 1 2
4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 4 4 4 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 4 8 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 4 4
5 9 7 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 7 9 8 16 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 4 10 16 8 9 7 5 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 5 7 9
6 11 7 5 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9
5 7 11 12 22 18 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 4 12 18 22 12 11 7 5 9 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 9 5 7 11
7 25 24 23 21 23 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 23 21
23 24 25 26 38 40 32 20 12 8 8 8 8 8 8 8 8 8 8 8 8 8
12 20 32 40 38 26 25 24 23 21 23 10 10 10 10 10 10 10 10 10 10 10
10 10 10 10 23 21 23 24 25
8 32 27 24 31 28 27 10 10 10 10 10 10 10 10 10 10 10 10 10 27 28 31
24 27 32 36 62 50 48 46 24 16 12 12 12 12 12 12 12 12 12 12 12 16
24 46 48 50 62 36 32 27 24 31 28 27 10 10 10 10 10 10 10 10 10 10
10 10 10 27 28 31 24 27 32
9 68 67 72 93 92 76 71 50 50 50 50 50 50 50 50 50 50 50 71 76 92 93
72 67 68 76 118 96 104 100 96 56 48 44 44 44 44 44 44 44 44 44 48 56
96 100 104 96 118 76 68 67 72 93 92 76 71 50 50 50 50 50 50 50 50 50
50 50 71 76 92 93 72 67 68
10 108 100 99 135 156 154 112 103 78 78 78 78 78 78 78 78 78 103 112 154 156 135
99 100 108 120 208 176 158 182 180 162 96 88 84 84 84 84 84 84 84 88 96 162
180 182 158 176 208 120 108 100 99 135 156 154 112 103 78 78 78 78 78 78 78 78
78 103 112 154 156 135 99 100 108
11 201 191 194 252 302 314 308 222 209 180 180 180 180 180 180 180 209 222 308 314 302 252
194 191 201 218 358 308 284 304 348 326 280 180 172 168 168 168 168 168 172 180 280 326
348 304 284 308 358 218 201 191 194 252 302 314 308 222 209 180 180 180 180 180 180 180
209 222 308 314 302 252 194 191 201
12 320 289 280 367 422 475 481 474 318 301 268 268 268 268 268 301 318 474 481 475 422 367
280 289 320 346 590 508 466 474 530 594 524 434 292 284 280 280 280 284 292 434 524 594
530 474 466 508 590 346 320 289 280 367 422 475 481 474 318 301 268 268 268 268 268 301
318 474 481 475 422 367 280 289 320
13 557 518 513 661 770 852 912 893 882 622 601 564 564 564 601 622 882 893 912 852 770 661
513 518 557 600 992 856 802 810 898 990 1060 890 740 548 540 536 540 548 740 890 1060 990
898 810 802 856 992 600 557 518 513 661 770 852 912 893 882 622 601 564 564 564 601 622
882 893 912 852 770 661 513 518 557
14 910 842 816 1053 1198 1332 1447 1530 1441 1416 1010 985 944 985 1010 1416 1441 1530 1447 1332 1198 1053
816 842 910 984 1656 1414 1340 1384 1476 1624 1758 1814 1456 1230 980 976 980 1230 1456 1814 1758 1624
1476 1384 1340 1414 1656 984 910 842 816 1053 1198 1332 1447 1530 1441 1416 1010 985 944 985 1010 1416
1441 1530 1447 1332 1198 1053 816 842 910
15 1566 1485 1472 1876 2141 2341 2593 2781 2880 2619 2562 1960 1976 1960 2562 2619 2880 2781 2593 2341 2141 1876
1472 1485 1566 1696 2824 2412 2284 2410 2598 2792 3058 3208 3200 2514 2200 1892 2200 2514 3200 3208 3058 2792
2598 2410 2284 2412 2824 1696 1566 1485 1472 1876 2141 2341 2593 2781 2880 2619 2562 1960 1976 1960 2562 2619
2880 2781 2593 2341 2141 1876 1472 1485 1566
16 2618 2468 2428 3103 3496 3803 4105 4536 4834 4940 4309 4243 3420 4243 4309 4940 4834 4536 4105 3803 3496 3103
2428 2468 2618 2840 4774 4070 3844 4046 4458 4770 5062 5544 5638 5462 4248 4212 4248 5462 5638 5544 5062 4770
4458 4046 3844 4070 4774 2840 2618 2468 2428 3103 3496 3803 4105 4536 4834 4940 4309 4243 3420 4243 4309 4940
4834 4536 4105 3803 3496 3103 2428 2468 2618
17 4472 4238 4206 5361 6062 6536 7057 7643 8367 8768 8917 7607 8576 7607 8917 8768 8367 7643 7057 6536 6062 5361
4206 4238 4472 4846 8110 6938 6532 6872 7566 8208 8740 9246 10062 9916 9840 8340 9840 9916 10062 9246 8740 8208
7566 6872 6532 6938 8110 4846 4472 4238 4206 5361 6062 6536 7057 7643 8367 8768 8917 7607 8576 7607 8917 8768
8367 7643 7057 6536 6062 5361 4206 4238 4472
18 7514 7067 6968 8903 10028 10801 11502 12432 13430 14648 15110 16734 14450 16734 15110 14648 13430 12432 11502 10801 10028 8903
6968 7067 7514 8138 13664 11690 10998 11494 12684 13808 14736 15596 16522 18346 18206 20244 18206 18346 16522 15596 14736 13808
12684 11494 10998 11690 13664 8138 7514 7067 6968 8903 10028 10801 11502 12432 13430 14648 15110 16734 14450 16734 15110 14648
13430 12432 11502 10801 10028 8903 6968 7067 7514
19 12731 11993 11853 15137 17101 18380 19591 20922 22729 24458 28261 28947 33656 28947 28261 24458 22729 20922 19591 18380 17101 15137
11853 11993 12731 13778 23078 19762 18600 19434 21312 23302 24990 26454 28652 31070 37842 37864 37842 31070 28652 26454 24990 23302
21312 19434 18600 19762 23078 13778 12731 11993 11853 15137 17101 18380 19591 20922 22729 24458 28261 28947 33656 28947 28261 24458
22729 20922 19591 18380 17101 15137 11853 11993 12731
20 21426 20141 19844 25353 28604 30790 32662 34894 37309 42998 46556 57265 56752 57265 46556 42998 37309 34894 32662 30790 28604 25353
19844 20141 21426 23190 38886 33274 31352 32740 35884 39040 42166 45540 48866 59090 65732 73368 65732 59090 48866 45540 42166 39040
35884 32740 31352 33274 38886 23190 21426 20141 19844 25353 28604 30790 32662 34894 37309 42998 46556 57265 56752 57265 46556 42998
37309 34894 32662 30790 28604 25353 19844 20141 21426
21 36219 34122 33675 42992 48544 52234 55629 59092 66327 71643 90378 95685 102614 95685 90378 71643 66327 59092 55629 52234 48544 42992
33675 34122 36219 39204 65680 56196 52976 55434 60684 65974 71834 78050 92872 103596 120174 121512 120174 103596 92872 78050 71834 65974
60684 55434 52976 56196 65680 39204 36219 34122 33675 42992 48544 52234 55629 59092 66327 71643 90378 95685 102614 95685 90378 71643
66327 59092 55629 52234 48544 42992 33675 34122 36219
22 61086 57534 56740 72429 81700 87996 93526 103466 110909 138800 147948 166498 168738 166498 147948 138800 110909 103466 93526 87996 81700 72429
56740 57534 61086 66136 110868 94826 89402 93602 102638 112364 122132 144888 163786 192540 198764 204688 198764 192540 163786 144888 122132 112364
102638 93602 89402 94826 110868 66136 61086 57534 56740 72429 81700 87996 93526 103466 110909 138800 147948 166498 168738 166498 147948 138800
110909 103466 93526 87996 81700 72429 56740 57534 61086
23 103224 97303 96050 122582 138368 148873 163187 174902 217097 231014 264467 271374 277186 271374 264467 231014 217097 174902 163187 148873 138368 122582
96050 97303 103224 111760 187304 160224 151028 158192 174664 191272 224788 254372 307068 324810 335668 331032 335668 324810 307068 254372 224788 191272
174664 158192 151028 160224 187304 111760 103224 97303 96050 122582 138368 148873 163187 174902 217097 231014 264467 271374 277186 271374 264467 231014
217097 174902 163187 148873 138368 122582 96050 97303 103224
24 174236 164160 161986 206832 233310 256806 274837 338322 361650 423415 434518 443555 439706 443555 434518 423415 361650 338322 274837 256806 233310 206832
161986 164160 174236 188644 316238 270530 254960 268202 296132 347968 394014 483280 520756 551240 547160 547992 547160 551240 520756 483280 394014 347968
296132 268202 254960 270530 316238 188644 174236 164160 161986 206832 233310 256806 274837 338322 361650 423415 434518 443555 439706 443555 434518 423415
361650 338322 274837 256806 233310 206832 161986 164160 174236
25 294274 277274 273745 349453 401220 433932 527352 565904 680027 702200 720851 710654 711240 710654 720851 702200 680027 565904 527352 433932 401220 349453
273745 277274 294274 318586 534002 456874 431948 454194 532608 607552 757626 828586 896110 896048 901420 901568 901420 896048 896110 828586 757626 607552
532608 454194 431948 456874 534002 318586 294274 277274 273745 349453 401220 433932 527352 565904 680027 702200 720851 710654 711240 710654 720851 702200
680027 565904 527352 433932 401220 349453 273745 277274 294274
26 496750 468016 461870 597865 677131 821189 882592 1084305 1128227 1177081 1162093 1151858 1138908 1151858 1162093 1177081 1128227 1084305 882592 821189 677131 597865
461870 468016 496750 537782 901464 772812 730758 809020 925984 1175062 1309708 1452716 1459686 1472034 1476670 1480900 1476670 1472034 1459686 1452716 1309708 1175062
925984 809020 730758 772812 901464 537782 496750 468016 461870 597865 677131 821189 882592 1084305 1128227 1177081 1162093 1151858 1138908 1151858 1162093 1177081
1128227 1084305 882592 821189 677131 597865 461870 468016 496750
27 838844 790332 789651 1009964 1266671 1378034 1722500 1802787 1919479 1906865 1889403 1855314 1851944 1855314 1889403 1906865 1919479 1802787 1722500 1378034 1266671 1009964
789651 790332 838844 908024 1523702 1306508 1287856 1402318 1798930 2045860 2338996 2376842 2408004 2404014 2416450 2427120 2416450 2404014 2408004 2376842 2338996 2045860
1798930 1402318 1287856 1306508 1523702 908024 838844 790332 789651 1009964 1266671 1378034 1722500 1802787 1919479 1906865 1889403 1855314 1851944 1855314 1889403 1906865
1919479 1802787 1722500 1378034 1266671 1009964 789651 790332 838844
28 1415982 1345319 1333393 1871727 2127238 2722523 2864311 3120105 3118899 3098988 3037379 3017229 3000720 3017229 3037379 3098988 3118899 3120105 2864311 2722523 2127238 1871727
1333393 1345319 1415982 1534748 2574176 2273374 2221630 2727448 3151738 3726762 3847170 3936566 3922014 3940800 3952968 3946680 3952968 3940800 3922014 3936566 3847170 3726762
3151738 2727448 2221630 2273374 2574176 1534748 1415982 1345319 1333393 1871727 2127238 2722523 2864311 3120105 3118899 3098988 3037379 3017229 3000720 3017229 3037379 3098988
3118899 3120105 2864311 2722523 2127238 1871727 1333393 1345319 1415982
29 2402685 2271657 2473955 3147319 4244725 4529941 5059956 5089093 5080964 4972883 4928880 4891492 4893980 4891492 4928880 4972883 5080964 5089093 5059956 4529941 4244725 3147319
2473955 2271657 2402685 2590622 4426966 3896284 4283514 4798934 5860588 6175112 6413588 6387130 6425956 6445394 6431934 6433768 6431934 6445394 6425956 6387130 6413588 6175112
5860588 4798934 4283514 3896284 4426966 2590622 2402685 2271657 2473955 3147319 4244725 4529941 5059956 5089093 5080964 4972883 4928880 4891492 4893980 4891492 4928880 4972883
5080964 5089093 5059956 4529941 4244725 3147319 2473955 2271657 2402685
30 4030297 4108319 4149462 6342858 7051609 8167672 8263093 8306629 8124027 8035744 7954684 7946354 7932962 7946354 7954684 8035744 8124027 8306629 8263093 8167672 7051609 6342858
4149462 4108319 4030297 4457110 7515326 7319730 7515242 9081172 9765640 10368758 10353856 10428502 10463096 10459874 10454604 10433544 10454604 10459874 10463096 10428502 10353856 10368758
9765640 9081172 7515242 7319730 7515326 4457110 4030297 4108319 4149462 6342858 7051609 8167672 8263093 8306629 8124027 8035744 7954684 7946354 7932962 7946354 7954684 8035744
8124027 8306629 8263093 8167672 7051609 6342858 4149462 4108319 4030297
31 7117471 6867865 8583907 10508200 12991379 13334606 13530103 13225421 13060981 12893184 12859339 12829223 12837986 12829223 12859339 12893184 13060981 13225421 13530103 13334606 12991379 10508200
8583907 6867865 7117471 7465296 13606210 12690206 14356026 15200422 16544252 16652048 16837708 16883678 16898132 16901536 16868190 16874736 16868190 16901536 16898132 16883678 16837708 16652048
16544252 15200422 14356026 12690206 13606210 7465296 7117471 6867865 8583907 10508200 12991379 13334606 13530103 13225421 13060981 12893184 12859339 12829223 12837986 12829223 12859339 12893184
13060981 13225421 13530103 13334606 12991379 10508200 8583907 6867865 7117471
32 11168131 13446376 13850521 19538227 20822560 21579587 21064405 20742494 20398205 20317104 20251101 20254194 20238070 20254194 20251101 20317104 20398205 20742494 21064405 21579587 20822560 19538227
13850521 13446376 11168131 13404770 22448578 23323228 23339320 25332624 25767248 26322110 26446202 26508452 26510474 26443850 26455014 26447508 26455014 26443850 26510474 26508452 26446202 26322110
25767248 25332624 23339320 23323228 22448578 13404770 11168131 13446376 13850521 19538227 20822560 21579587 21064405 20742494 20398205 20317104 20251101 20254194 20238070 20254194 20251101 20317104
20398205 20742494 21064405 21579587 20822560 19538227 13850521 13446376 11168131
33 21391700 21397817 26809739 31060347 33855947 33333280 32725782 31997284 31795876 31653211 31648065 31605191 31606524 31605191 31648065 31653211 31795876 31997284 32725782 33333280 33855947 31060347
26809739 21397817 21391700 21443704 40448966 37899180 39387646 39184300 40474050 40856876 41122608 41159296 41028872 41032050 41041170 41075216 41041170 41032050 41028872 41159296 41122608 40856876
40474050 39184300 39387646 37899180 40448966 21443704 21391700 21397817 26809739 31060347 33855947 33333280 32725782 31997284 31795876 31653211 31648065 31605191 31606524 31605191 31648065 31653211
31795876 31997284 32725782 33333280 33855947 31060347 26809739 21397817 21391700
34 27205739 37542028 38929272 47164034 47628528 46845902 45301640 44813064 44519672 44523696 44438892 44401784 44364226 44401784 44438892 44523696 44519672 44813064 45301640 46845902 47628528 47164034
38929272 37542028 27205739 36026646 56138092 56005116 52995248 54535294 55642594 56536120 56679646 56379334 56313050 56323588 56443138 56472732 56443138 56323588 56313050 56379334 56679646 56536120
55642594 54535294 52995248 56005116 56138092 36026646 27205739 37542028 38929272 47164034 47628528 46845902 45301640 44813064 44519672 44523696 44438892 44401784 44364226 44401784 44438892 44523696
44519672 44813064 45301640 46845902 47628528 47164034 38929272 37542028 27205739
35 52777746 54744896 62441585 67947477 68919223 66328551 64978912 64156297 64121299 64009528 63979600 63900027 63890820 63900027 63979600 64009528 64121299 64156297 64978912 66328551 68919223 67947477
62441585 54744896 52777746 52418022 90806656 80114654 77379642 76988530 79483502 80514206 80302610 80111134 79971702 80095484 80153336 80193560 80153336 80095484 79971702 80111134 80302610 80514206
79483502 76988530 77379642 80114654 90806656 52418022 52777746 54744896 62441585 67947477 68919223 66328551 64978912 64156297 64121299 64009528 63979600 63900027 63890820 63900027 63979600 64009528
64121299 64156297 64978912 66328551 68919223 67947477 62441585 54744896 52777746
36 51195041 72489985 73996744 79691148 76632939 74207418 72286572 72089443 71845576 71792586 71653708 71642533 71628870 71642533 71653708 71792586 71845576 72089443 72286572 74207418 76632939 79691148
73996744 72489985 51195041 68964820 91870994 85938260 80849858 84405116 86956282 86976724 86656796 86377876 86646596 86723250 86691944 86620456 86691944 86723250 86646596 86377876 86656796 86976724
86956282 84405116 80849858 85938260 91870994 68964820 51195041 72489985 73996744 79691148 76632939 74207418 72286572 72089443 71845576 71792586 71653708 71642533 71628870 71642533 71653708 71792586
71845576 72089443 72286572 74207418 76632939 79691148 73996744 72489985 51195041
37 86729093 92987761 98363542 99868105 97736742 93365881 92147918 91578979 91635086 91419790 91349364 91298169 91314212 91298169 91349364 91419790 91635086 91578979 92147918 93365881 97736742 99868105
98363542 92987761 86729093 88159658 127533672 105290546 101372386 105476980 108517978 108925506 108021770 108070846 108218920 108373326 108292444 108258316 108292444 108373326 108218920 108070846 108021770 108925506
108517978 105476980 101372386 105290546 127533672 88159658 86729093 92987761 98363542 99868105 97736742 93365881 92147918 91578979 91635086 91419790 91349364 91298169 91314212 91298169 91349364 91419790
91635086 91578979 92147918 93365881 97736742 99868105 98363542 92987761 86729093
38 69316847 92433511 90251180 89808870 83585493 81016139 79437296 79449102 79077913 78982833 78865507 78870664 78854318 78870664 78865507 78982833 79077913 79449102 79437296 81016139 83585493 89808870
90251180 92433511 69316847 87350996 91579388 83898816 83616356 88938066 90994684 89959864 90077394 90143272 90347324 90273050 90300906 90305080 90300906 90273050 90347324 90143272 90077394 89959864
90994684 88938066 83616356 83898816 91579388 87350996 69316847 92433511 90251180 89808870 83585493 81016139 79437296 79449102 79077913 78982833 78865507 78870664 78854318 78870664 78865507 78982833
79077913 79449102 79437296 81016139 83585493 89808870 90251180 92433511 69316847
39 89158165 97336284 99012360 94065520 90199629 85815074 85445181 84933367 84872466 84602953 84571335 84538079 84552766 84538079 84571335 84602953 84872466 84933367 85445181 85815074 90199629 94065520
99012360 97336284 89158165 92858596 103922890 83447312 85394542 93375020 94003934 93866202 93379980 93859458 93897142 93908412 93873006 93904776 93873006 93908412 93897142 93859458 93379980 93866202
94003934 93375020 85394542 83447312 103922890 92858596 89158165 97336284 99012360 94065520 90199629 85815074 85445181 84933367 84872466 84602953 84571335 84538079 84552766 84538079 84571335 84602953
84872466 84933367 85445181 85815074 90199629 94065520 99012360 97336284 89158165
40 63360393 77522936 72062224 68281834 62268613 60835773 59587277 59569177 59140548 59083959 58987273 58988240 58965972 58988240 58987273 59083959 59140548 59569177 59587277 60835773 62268613 68281834
72062224 77522936 63360393 73264878 56766810 53936376 58978830 62447412 63845350 63123246 63691950 63677208 63814560 63777758 63809952 63790728 63809952 63777758 63814560 63677208 63691950 63123246
63845350 62447412 58978830 53936376 56766810 73264878 63360393 77522936 72062224 68281834 62268613 60835773 59587277 59569177 59140548 59083959 58987273 58988240 58965972 58988240 58987273 59083959
59140548 59569177 59587277 60835773 62268613 68281834 72062224 77522936 63360393
41 58044430 63042685 62603393 56319806 53445440 50541152 50676405 50058005 49975172 49761157 49761336 49715931 49721242 49715931 49761336 49761157 49975172 50058005 50676405 50541152 53445440 56319806
62603393 63042685 58044430 60984068 48485486 40622592 45740582 51769440 50747346 51356760 51301860 51692726 51601974 51656506 51651284 51678084 51651284 51656506 51601974 51692726 51301860 51356760
50747346 51769440 45740582 40622592 48485486 60984068 58044430 63042685 62603393 56319806 53445440 50541152 50676405 50058005 49975172 49761157 49761336 49715931 49721242 49715931 49761336 49761157
49975172 50058005 50676405 50541152 53445440 56319806 62603393 63042685 58044430
42 36574535 41537116 37610988 34656868 31226434 30784600 29905144 29886909 29541604 29528551 29440653 29442081 29420528 29442081 29440653 29528551 29541604 29886909 29905144 30784600 31226434 34656868
37610988 41537116 36574535 39704646 21649760 22390520 27126416 28355446 29502286 29220456 29801342 29735226 29874366 29841280 29880638 29868456 29880638 29841280 29874366 29735226 29801342 29220456
29502286 28355446 27126416 22390520 21649760 39704646 36574535 41537116 37610988 34656868 31226434 30784600 29905144 29886909 29541604 29528551 29440653 29442081 29420528 29442081 29440653 29528551
29541604 29886909 29905144 30784600 31226434 34656868 37610988 41537116 36574535
43 24169696 25644950 24869927 21665572 20469951 19256260 19360612 18906053 18897306 18752166 18755917 18713541 18722848 18713541 18755917 18752166 18897306 18906053 19360612 19256260 20469951 21665572
24869927 25644950 24169696 25200318 12890224 12432914 15504238 17782134 17232780 18016208 17941086 18188902 18137084 18218982 18199220 18215312 18199220 18218982 18137084 18188902 17941086 18016208
17232780 17782134 15504238 12432914 12890224 25200318 24169696 25644950 24869927 21665572 20469951 19256260 19360612 18906053 18897306 18752166 18755917 18713541 18722848 18713541 18755917 18752166
18897306 18906053 19360612 19256260 20469951 21665572 24869927 25644950 24169696
44 12764655 13673197 12382206 11214355 10098425 9987030 9602780 9595503 9415975 9422053 9360513 9366292 9347734 9366292 9360513 9422053 9415975 9595503 9602780 9987030 10098425 11214355
12382206 13673197 12764655 13331768 4724410 5693076 7591726 7915554 8488398 8445448 8769458 8718028 8829834 8810064 8844576 8828892 8844576 8810064 8829834 8718028 8769458 8445448
8488398 7915554 7591726 5693076 4724410 13331768 12764655 13673197 12382206 11214355 10098425 9987030 9602780 9595503 9415975 9422053 9360513 9366292 9347734 9366292 9360513 9422053
9415975 9595503 9602780 9987030 10098425 11214355 12382206 13673197 12764655
45 6232383 6414941 6098836 5297119 4987785 4704828 4700840 4541376 4546043 4478785 4483848 4458442 4468060 4458442 4483848 4478785 4546043 4541376 4700840 4704828 4987785 5297119
6098836 6414941 6232383 6399854 1874744 2343044 3191134 3648014 3629004 3921930 3886736 4013170 3993752 4040368 4027460 4047056 4027460 4040368 3993752 4013170 3886736 3921930
3629004 3648014 3191134 2343044 1874744 6399854 6232383 6414941 6098836 5297119 4987785 4704828 4700840 4541376 4546043 4478785 4483848 4458442 4468060 4458442 4483848 4478785
4546043 4541376 4700840 4704828 4987785 5297119 6098836 6414941 6232383
46 2567359 2629555 2419823 2177729 1987788 1955079 1870133 1860671 1812539 1813716 1790194 1794892 1784622 1794892 1790194 1813716 1812539 1860671 1870133 1955079 1987788 2177729
2419823 2629555 2567359 2620996 526176 827112 1186618 1262456 1404340 1421964 1508226 1502144 1546492 1537708 1557372 1547708 1557372 1537708 1546492 1502144 1508226 1421964
1404340 1262456 1186618 827112 526176 2620996 2567359 2629555 2419823 2177729 1987788 1955079 1870133 1860671 1812539 1813716 1790194 1794892 1784622 1794892 1790194 1813716
1812539 1860671 1870133 1955079 1987788 2177729 2419823 2629555 2567359
47 913795 915459 865500 767625 723062 690100 679103 654963 652638 638018 639290 631498 635246 631498 639290 638018 652638 654963 679103 690100 723062 767625
865500 915459 913795 925540 133226 246016 356584 407776 433628 475858 480628 507996 505624 520724 516328 523900 516328 520724 505624 507996 480628 475858
433628 407776 356584 246016 133226 925540 913795 915459 865500 767625 723062 690100 679103 654963 652638 638018 639290 631498 635246 631498 639290 638018
652638 654963 679103 690100 723062 767625 865500 915459 913795
48 271223 269615 253680 230778 215717 210603 202033 199338 193590 192874 189166 189962 187798 189962 189166 192874 193590 199338 202033 210603 215717 230778
253680 269615 271223 273394 24930 60420 90476 100898 116866 122572 133192 135216 142152 141648 146056 143600 146056 141648 142152 135216 133192 122572
116866 100898 90476 60420 24930 273394 271223 269615 253680 230778 215717 210603 202033 199338 193590 192874 189166 189962 187798 189962 189166 192874
193590 199338 202033 210603 215717 230778 253680 269615 271223
49 65948 65034 62146 57015 54335 52579 51184 49732 49064 47940 47856 47076 47464 47076 47856 47940 49064 49732 51184 52579 54335 57015
62146 65034 65948 66230 3646 11734 17618 20698 23836 26408 28088 30168 30712 32296 31960 32984 31960 32296 30712 30168 28088 26408
23836 20698 17618 11734 3646 66230 65948 65034 62146 57015 54335 52579 51184 49732 49064 47940 47856 47076 47464 47076 47856 47940
49064 49732 51184 52579 54335 57015 62146 65034 65948
50 12500 12195 11754 11005 10563 10332 10006 9852 9606 9532 9366 9372 9286 9372 9366 9532 9606 9852 10006 10332 10563 11005
11754 12195 12500 12524 256 1696 2572 3060 3716 4064 4580 4784 5156 5216 5444 5360 5444 5216 5156 4784 4580 4064
3716 3060 2572 1696 256 12524 12500 12195 11754 11005 10563 10332 10006 9852 9606 9532 9366 9372 9286 9372 9366 9532
9606 9852 10006 10332 10563 11005 11754 12195 12500
51 1868 1827 1789 1707 1672 1642 1616 1594 1576 1562 1552 1546 1544 1546 1552 1562 1576 1594 1616 1642 1672 1707
1789 1827 1868 1870 4 164 240 312 372 424 468 504 532 552 564 568 564 552 532 504 468 424
372 312 240 164 4 1870 1868 1827 1789 1707 1672 1642 1616 1594 1576 1562 1552 1546 1544 1546 1552 1562
1576 1594 1616 1642 1672 1707 1789 1827 1868
52 80 80 78 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76
78 80 80 80 0 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
8 8 8 4 0 80 80 80 78 76 76 76 76 76 76 76 76 76 76 76 76 76
76 76 76 76 76 76 78 80 80
Total 630944969 730639618 741360523 754159793 734203240 713531583 703552862 699049805 696462964 694785005 693822474 693367727 693239144 693367727 693822474 694785005 696462964 699049805 703552862 713531583 734203240 754159793
741360523 730639618 630944969 701688210 803686252 723861970 735574240 777078396 796570126 801657382 803008586 804179416 805089554 805576782 805766006 805811868 805766006 805576782 805089554 804179416 803008586 801657382
796570126 777078396 735574240 723861970 803686252 701688210 630944969 730639618 741360523 754159793 734203240 713531583 703552862 699049805 696462964 694785005 693822474 693367727 693239144 693367727 693822474 694785005
696462964 699049805 703552862 713531583 734203240 754159793 741360523 730639618 630944969
Grand total = 4*630944969 + 2*693239144 + 4*693367727 + 4*693822474 + 4*694785005 + 4*696462964 + 4*699049805 + 2*701688210 + 4*703552862 + 4*713531583 + 2*723861970 + 4*730639618 + 4*734203240 + 2*735574240 + 4*741360523 +
4*754159793 + 2*777078396 + 2*796570126 + 2*801657382 + 2*803008586 + 2*803686252 + 2*804179416 + 2*805089554 + 2*805576782 + 2*805766006 + 805811868
= 54863286248
Number of CNSAPs for each starting node (SN) and ending node (EN) pair
SN 0 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
EN
0 0 0 46 90 134 180 342 754 1636 3342 6570 12782 24994 49120 96346 187542 361544 690122 1303494 2430882 4458718 7997356 13904734 23088826
35567532 0 2 2 4 10 22 46 96 202 426 898 1892 3986 8398 17694 37280 78546 165490 348674 734628 1547802 3261094 6870862
14476352 30500506 24 2 4 27 90 212 448 864 1620 3142 6304 12716 25318 49688 96660 187132 360504 689258 1303740 2432360 4460402 7997916
13903816 23087160 35565436
1 0 0 0 23 3 23 42 133 291 545 980 1863 3727 7515 14874 28853 55287 105213 198756 371127 681291 1222175 2124602 3527397
5433563 23 0 1 1 1 3 7 15 31 65 137 289 609 1283 2703 5695 11999 25281 53265 112225 236449 498179 1049623
2211471 4659391 0 0 0 0 21 61 82 105 197 447 992 2035 3957 7577 14610 28385 55017 105507 199536 371803 681233 1221333
2123554 3526649 5433021
2 44 0 0 0 44 6 44 80 252 550 1028 1844 3492 6950 13932 27400 52772 100262 188804 351964 646108 1159718 2016812 3348768
5158412 22 22 0 2 2 2 6 14 30 62 130 274 578 1218 2566 5406 11390 23998 50562 106530 224450 472898 996358
2099246 4422942 0 0 0 0 0 40 116 156 200 374 844 1864 3808 7374 14052 26932 51936 99766 189276 353264 647272 1159790
2015764 3347308 5156728
3 63 63 0 0 0 63 9 63 114 357 777 1449 2592 4887 9669 19251 37578 71757 134925 250773 459624 824943 1435281 2383911
3672498 21 21 21 0 3 3 3 9 21 45 93 195 411 867 1827 3849 8109 17085 35997 75843 159795 336675 709347
1494537 3148869 21 0 0 0 0 0 57 165 222 285 531 1191 2616 5319 10251 19425 36966 70653 134247 251307 461184 826407
1435671 2383293 3671262
4 80 60 80 0 0 0 80 12 80 144 448 972 1808 3224 6048 11884 23472 45408 85808 159276 291120 521736 907632 1507980
2323472 60 20 20 20 0 4 4 4 12 28 60 124 260 548 1156 2436 5132 10812 22780 47996 101124 213060 448900
945796 1992716 80 40 0 0 0 0 0 72 208 280 360 668 1488 3248 6568 12588 23696 44712 84536 158460 291600 523296
909208 1508876 2323920
5 114 95 57 95 0 0 0 95 15 95 170 525 1135 2105 3740 6975 13595 26595 50890 94925 173315 309845 538300 894175
1377815 133 57 19 19 19 0 5 5 5 15 35 75 155 325 685 1445 3045 6415 13515 28475 59995 126405 266325
561125 1182245 190 133 57 0 0 0 0 0 85 245 330 425 785 1735 3760 7555 14385 26865 50170 93585 172405 310155
539600 895675 1379405
6 252 144 108 54 108 0 0 0 108 18 108 192 588 1266 2340 4140 7668 14802 28620 54024 99108 177042 306948 509316
784572 270 126 54 18 18 18 0 6 6 6 18 42 90 186 390 822 1734 3654 7698 16218 34170 71994 151686
319590 673350 360 252 180 72 0 0 0 0 0 96 276 372 480 882 1932 4152 8280 15642 28932 53340 97800 176082
306972 510096 785808
7 595 357 170 119 51 119 0 0 0 119 21 119 210 637 1365 2513 4424 8127 15505 29547 54810 98357 170457 282429
434784 527 255 119 51 17 17 17 0 7 7 7 21 49 105 217 455 959 2023 4263 8981 18921 39865 83993
176967 372855 629 425 306 221 85 0 0 0 0 0 105 301 406 525 959 2079 4424 8743 16359 29897 54222 97181
169491 282051 434784
8 1280 816 448 192 128 48 128 0 0 0 128 24 128 224 672 1432 2624 4592 8352 15704 29376 53248 92672 153560
236288 1040 496 240 112 48 16 16 16 0 8 8 8 24 56 120 248 520 1096 2312 4872 10264 21624 45560
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9 2520 1665 1005 525 210 135 45 135 0 0 0 135 27 135 234 693 1467 2673 4644 8343 15399 28107 49338 82053
126351 2055 975 465 225 105 45 15 15 15 0 9 9 9 27 63 135 279 585 1233 2601 5481 11547 24327
51255 107991 2280 1455 855 525 390 285 105 0 0 0 0 0 117 333 450 585 1053 2223 4608 8883 16173 28521
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10 4788 3164 1988 1162 588 224 140 42 140 0 0 0 140 30 140 240 700 1470 2660 4580 8100 14590 25740 43080
66500 4046 1918 910 434 210 98 42 14 14 14 0 10 10 10 30 70 150 310 650 1370 2890 6090 12830
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14113 29733 9321 6019 3536 1911 1001 585 442 325 117 0 0 0 0 0 121 341 462 605 1067 2167 4312 7975
13827 22737 34870
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17712 15396 7308 3468 1644 780 372 180 84 36 12 12 12 0 12 12 12 36 84 180 372 780 1644 3468
7308 15396 18192 11844 7128 3984 2064 1044 600 456 336 120 0 0 0 0 0 120 336 456 600 1044 2064 3984
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9139 29733 14113 6699 3179 1507 715 341 165 77 33 11 11 11 0 13 13 13 39 91 195 403 845 1781
3757 7917 34870 22737 13827 7975 4312 2167 1067 605 462 341 121 0 0 0 0 0 117 325 442 585 1001 1911
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4788 56950 27030 12830 6090 2890 1370 650 310 150 70 30 10 10 10 0 14 14 14 42 98 210 434 910
1918 4046 66320 43140 26180 15270 8560 4520 2220 1070 600 460 340 120 0 0 0 0 0 112 308 420 560 938
1708 2968 4648
15 126351 82053 49338 28107 15399 8343 4644 2673 1467 693 234 135 27 135 0 0 0 135 45 135 210 525 1005 1665
2520 107991 51255 24327 11547 5481 2601 1233 585 279 135 63 27 9 9 9 0 15 15 15 45 105 225 465
975 2055 125505 81441 49122 28521 16173 8883 4608 2223 1053 585 450 333 117 0 0 0 0 0 105 285 390 525
855 1455 2280
16 236288 153560 92672 53248 29376 15704 8352 4592 2624 1432 672 224 128 24 128 0 0 0 128 48 128 192 448 816
1280 202248 95992 45560 21624 10264 4872 2312 1096 520 248 120 56 24 8 8 8 0 16 16 16 48 112 240
496 1040 235392 152632 91728 52816 29760 16536 8944 4576 2176 1016 560 432 320 112 0 0 0 0 0 96 256 352
480 752 1152
17 434784 282429 170457 98357 54810 29547 15505 8127 4424 2513 1365 637 210 119 21 119 0 0 0 119 51 119 170 357
595 372855 176967 83993 39865 18921 8981 4263 2023 959 455 217 105 49 21 7 7 7 0 17 17 17 51 119
255 527 434784 282051 169491 97181 54222 29897 16359 8743 4424 2079 959 525 406 301 105 0 0 0 0 0 85 221
306 425 629
18 784572 509316 306948 177042 99108 54024 28620 14802 7668 4140 2340 1266 588 192 108 18 108 0 0 0 108 54 108 144
252 673350 319590 151686 71994 34170 16218 7698 3654 1734 822 390 186 90 42 18 6 6 6 0 18 18 18 54
126 270 785808 510096 306972 176082 97800 53340 28932 15642 8280 4152 1932 882 480 372 276 96 0 0 0 0 0 72
180 252 360
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114 1182245 561125 266325 126405 59995 28475 13515 6415 3045 1445 685 325 155 75 35 15 5 5 5 0 19 19 19
57 133 1379405 895675 539600 310155 172405 93585 50170 26865 14385 7555 3760 1735 785 425 330 245 85 0 0 0 0 0
57 133 190
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80 1992716 945796 448900 213060 101124 47996 22780 10812 5132 2436 1156 548 260 124 60 28 12 4 4 4 0 20 20
20 60 2323920 1508876 909208 523296 291600 158460 84536 44712 23696 12588 6568 3248 1488 668 360 280 208 72 0 0 0 0
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63 3148869 1494537 709347 336675 159795 75843 35997 17085 8109 3849 1827 867 411 195 93 45 21 9 3 3 3 0 21
21 21 3671262 2383293 1435671 826407 461184 251307 134247 70653 36966 19425 10251 5319 2616 1191 531 285 222 165 57 0 0 0
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50 24 2 4 27 90 212 448 864 1620 3142 6304 12716 25318 49688 96660 187132 360504 689258 1303740 2432360 4460402 7997916 13903816 23087160
35565436 0 2 2 4 10 22 46 96 202 426 898 1892 3986 8398 17694 37280 78546 165490 348674 734628 1547802 3261094 6870862
14476352 30500506 0 0 46 90 134 180 342 754 1636 3342 6570 12782 24994 49120 96346 187542 361544 690122 1303494 2430882 4458718 7997356
13904734 23088826 35567532
51 0 0 0 0 21 61 82 105 197 447 992 2035 3957 7577 14610 28385 55017 105507 199536 371803 681233 1221333 2123554 3526649
5433021 23 0 1 1 1 3 7 15 31 65 137 289 609 1283 2703 5695 11999 25281 53265 112225 236449 498179 1049623
2211471 4659391 0 0 0 23 3 23 42 133 291 545 980 1863 3727 7515 14874 28853 55287 105213 198756 371127 681291 1222175
2124602 3527397 5433563
52 0 0 0 0 0 40 116 156 200 374 844 1864 3808 7374 14052 26932 51936 99766 189276 353264 647272 1159790 2015764 3347308
5156728 22 22 0 2 2 2 6 14 30 62 130 274 578 1218 2566 5406 11390 23998 50562 106530 224450 472898 996358
2099246 4422942 44 0 0 0 44 6 44 80 252 550 1028 1844 3492 6950 13932 27400 52772 100262 188804 351964 646108 1159718
2016812 3348768 5158412
53 21 0 0 0 0 0 57 165 222 285 531 1191 2616 5319 10251 19425 36966 70653 134247 251307 461184 826407 1435671 2383293
3671262 21 21 21 0 3 3 3 9 21 45 93 195 411 867 1827 3849 8109 17085 35997 75843 159795 336675 709347
1494537 3148869 63 63 0 0 0 63 9 63 114 357 777 1449 2592 4887 9669 19251 37578 71757 134925 250773 459624 824943
1435281 2383911 3672498
54 80 40 0 0 0 0 0 72 208 280 360 668 1488 3248 6568 12588 23696 44712 84536 158460 291600 523296 909208 1508876
2323920 60 20 20 20 0 4 4 4 12 28 60 124 260 548 1156 2436 5132 10812 22780 47996 101124 213060 448900
945796 1992716 80 60 80 0 0 0 80 12 80 144 448 972 1808 3224 6048 11884 23472 45408 85808 159276 291120 521736
907632 1507980 2323472
55 190 133 57 0 0 0 0 0 85 245 330 425 785 1735 3760 7555 14385 26865 50170 93585 172405 310155 539600 895675
1379405 133 57 19 19 19 0 5 5 5 15 35 75 155 325 685 1445 3045 6415 13515 28475 59995 126405 266325
561125 1182245 114 95 57 95 0 0 0 95 15 95 170 525 1135 2105 3740 6975 13595 26595 50890 94925 173315 309845
538300 894175 1377815
56 360 252 180 72 0 0 0 0 0 96 276 372 480 882 1932 4152 8280 15642 28932 53340 97800 176082 306972 510096
785808 270 126 54 18 18 18 0 6 6 6 18 42 90 186 390 822 1734 3654 7698 16218 34170 71994 151686
319590 673350 252 144 108 54 108 0 0 0 108 18 108 192 588 1266 2340 4140 7668 14802 28620 54024 99108 177042
306948 509316 784572
57 629 425 306 221 85 0 0 0 0 0 105 301 406 525 959 2079 4424 8743 16359 29897 54222 97181 169491 282051
434784 527 255 119 51 17 17 17 0 7 7 7 21 49 105 217 455 959 2023 4263 8981 18921 39865 83993
176967 372855 595 357 170 119 51 119 0 0 0 119 21 119 210 637 1365 2513 4424 8127 15505 29547 54810 98357
170457 282429 434784
58 1152 752 480 352 256 96 0 0 0 0 0 112 320 432 560 1016 2176 4576 8944 16536 29760 52816 91728 152632
235392 1040 496 240 112 48 16 16 16 0 8 8 8 24 56 120 248 520 1096 2312 4872 10264 21624 45560
95992 202248 1280 816 448 192 128 48 128 0 0 0 128 24 128 224 672 1432 2624 4592 8352 15704 29376 53248
92672 153560 236288
59 2280 1455 855 525 390 285 105 0 0 0 0 0 117 333 450 585 1053 2223 4608 8883 16173 28521 49122 81441
125505 2055 975 465 225 105 45 15 15 15 0 9 9 9 27 63 135 279 585 1233 2601 5481 11547 24327
51255 107991 2520 1665 1005 525 210 135 45 135 0 0 0 135 27 135 234 693 1467 2673 4644 8343 15399 28107
49338 82053 126351
60 4648 2968 1708 938 560 420 308 112 0 0 0 0 0 120 340 460 600 1070 2220 4520 8560 15270 26180 43140
66320 4046 1918 910 434 210 98 42 14 14 14 0 10 10 10 30 70 150 310 650 1370 2890 6090 12830
27030 56950 4788 3164 1988 1162 588 224 140 42 140 0 0 0 140 30 140 240 700 1470 2660 4580 8100 14590
25740 43080 66500
61 9321 6019 3536 1911 1001 585 442 325 117 0 0 0 0 0 121 341 462 605 1067 2167 4312 7975 13827 22737
34870 7917 3757 1781 845 403 195 91 39 13 13 13 0 11 11 11 33 77 165 341 715 1507 3179 6699
14113 29733 9139 5967 3692 2249 1287 637 234 143 39 143 0 0 0 143 33 143 242 693 1441 2585 4400 7623
13277 22275 34474
62 18192 11844 7128 3984 2064 1044 600 456 336 120 0 0 0 0 0 120 336 456 600 1044 2064 3984 7128 11844
18192 15396 7308 3468 1644 780 372 180 84 36 12 12 12 0 12 12 12 36 84 180 372 780 1644 3468
7308 15396 17712 11460 6912 4104 2448 1380 672 240 144 36 144 0 0 0 144 36 144 240 672 1380 2448 4104
6912 11460 17712
63 34870 22737 13827 7975 4312 2167 1067 605 462 341 121 0 0 0 0 0 117 325 442 585 1001 1911 3536 6019
9321 29733 14113 6699 3179 1507 715 341 165 77 33 11 11 11 0 13 13 13 39 91 195 403 845 1781
3757 7917 34474 22275 13277 7623 4400 2585 1441 693 242 143 33 143 0 0 0 143 39 143 234 637 1287 2249
3692 5967 9139
64 66320 43140 26180 15270 8560 4520 2220 1070 600 460 340 120 0 0 0 0 0 112 308 420 560 938 1708 2968
4648 56950 27030 12830 6090 2890 1370 650 310 150 70 30 10 10 10 0 14 14 14 42 98 210 434 910
1918 4046 66500 43080 25740 14590 8100 4580 2660 1470 700 240 140 30 140 0 0 0 140 42 140 224 588 1162
1988 3164 4788
65 125505 81441 49122 28521 16173 8883 4608 2223 1053 585 450 333 117 0 0 0 0 0 105 285 390 525 855 1455
2280 107991 51255 24327 11547 5481 2601 1233 585 279 135 63 27 9 9 9 0 15 15 15 45 105 225 465
975 2055 126351 82053 49338 28107 15399 8343 4644 2673 1467 693 234 135 27 135 0 0 0 135 45 135 210 525
1005 1665 2520
66 235392 152632 91728 52816 29760 16536 8944 4576 2176 1016 560 432 320 112 0 0 0 0 0 96 256 352 480 752
1152 202248 95992 45560 21624 10264 4872 2312 1096 520 248 120 56 24 8 8 8 0 16 16 16 48 112 240
496 1040 236288 153560 92672 53248 29376 15704 8352 4592 2624 1432 672 224 128 24 128 0 0 0 128 48 128 192
448 816 1280
67 434784 282051 169491 97181 54222 29897 16359 8743 4424 2079 959 525 406 301 105 0 0 0 0 0 85 221 306 425
629 372855 176967 83993 39865 18921 8981 4263 2023 959 455 217 105 49 21 7 7 7 0 17 17 17 51 119
255 527 434784 282429 170457 98357 54810 29547 15505 8127 4424 2513 1365 637 210 119 21 119 0 0 0 119 51 119
170 357 595
68 785808 510096 306972 176082 97800 53340 28932 15642 8280 4152 1932 882 480 372 276 96 0 0 0 0 0 72 180 252
360 673350 319590 151686 71994 34170 16218 7698 3654 1734 822 390 186 90 42 18 6 6 6 0 18 18 18 54
126 270 784572 509316 306948 177042 99108 54024 28620 14802 7668 4140 2340 1266 588 192 108 18 108 0 0 0 108 54
108 144 252
69 1379405 895675 539600 310155 172405 93585 50170 26865 14385 7555 3760 1735 785 425 330 245 85 0 0 0 0 0 57 133
190 1182245 561125 266325 126405 59995 28475 13515 6415 3045 1445 685 325 155 75 35 15 5 5 5 0 19 19 19
57 133 1377815 894175 538300 309845 173315 94925 50890 26595 13595 6975 3740 2105 1135 525 170 95 15 95 0 0 0 95
57 95 114
70 2323920 1508876 909208 523296 291600 158460 84536 44712 23696 12588 6568 3248 1488 668 360 280 208 72 0 0 0 0 0 40
80 1992716 945796 448900 213060 101124 47996 22780 10812 5132 2436 1156 548 260 124 60 28 12 4 4 4 0 20 20
20 60 2323472 1507980 907632 521736 291120 159276 85808 45408 23472 11884 6048 3224 1808 972 448 144 80 12 80 0 0 0
80 60 80
71 3671262 2383293 1435671 826407 461184 251307 134247 70653 36966 19425 10251 5319 2616 1191 531 285 222 165 57 0 0 0 0 0
21 3148869 1494537 709347 336675 159795 75843 35997 17085 8109 3849 1827 867 411 195 93 45 21 9 3 3 3 0 21
21 21 3672498 2383911 1435281 824943 459624 250773 134925 71757 37578 19251 9669 4887 2592 1449 777 357 114 63 9 63 0 0
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0 4422942 2099246 996358 472898 224450 106530 50562 23998 11390 5406 2566 1218 578 274 130 62 30 14 6 2 2 2 0
22 22 5158412 3348768 2016812 1159718 646108 351964 188804 100262 52772 27400 13932 6950 3492 1844 1028 550 252 80 44 6 44 0
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73 5433021 3526649 2123554 1221333 681233 371803 199536 105507 55017 28385 14610 7577 3957 2035 992 447 197 105 82 61 21 0 0 0
0 4659391 2211471 1049623 498179 236449 112225 53265 25281 11999 5695 2703 1283 609 289 137 65 31 15 7 3 1 1 1
0 23 5433563 3527397 2124602 1222175 681291 371127 198756 105213 55287 28853 14874 7515 3727 1863 980 545 291 133 42 23 3 23
0 0 0
74 35565436 23087160 13903816 7997916 4460402 2432360 1303740 689258 360504 187132 96660 49688 25318 12716 6304 3142 1620 864 448 212 90 27 4 2
24 30500506 14476352 6870862 3261094 1547802 734628 348674 165490 78546 37280 17694 8398 3986 1892 898 426 202 96 46 22 10 4 2
2 0 35567532 23088826 13904734 7997356 4458718 2430882 1303494 690122 361544 187542 96346 49120 24994 12782 6570 3342 1636 754 342 180 134 90
46 0 0
Sum of all rows = 4(3*0 + 3*2 + 2*4 + 1*10 + 1*22 + 1*24 + 1*27 + 2*46 + 2*90 + 1*96 + 1*134 + 1*180 + 1*202 + 1*212 + 1*342 + 1*426 + 1*448 + 1*754 + 1*864 + 1*898 + 1*1620 + 1*1636 + 1*1892 + 1*3142 + 1*3342 +
1*3986 + 1*6304 + 1*6570 + 1*8398 + 1*12716 + 1*12782 + 1*17694 + 1*24994 + 1*25318 + 1*37280 + 1*49120 + 1*49688 + 1*78546 + 1*96346 + 1*96660 + 1*165490 + 1*187132 + 1*187542 + 1*348674 +
1*360504 + 1*361544 + 1*689258 + 1*690122 + 1*734628 + 1*1303494 + 1*1303740 + 1*1547802 + 1*2430882 + 1*2432360 + 1*3261094 + 1*4458718 + 1*4460402 + 1*6870862 + 1*7997356 + 1*7997916 +
1*13903816 + 1*13904734 + 1*14476352 + 1*23087160 + 1*23088826 + 1*30500506 + 1*35565436 + 1*35567532) +
4(8*0 + 3*1 + 2*3 + 1*7 + 1*15 + 1*21 + 3*23 + 1*31 + 1*42 + 1*61 + 1*65 + 1*82 + 1*105 + 1*133 + 1*137 + 1*197 + 1*289 + 1*291 + 1*447 + 1*545 + 1*609 + 1*980 + 1*992 + 1*1283 + 1*1863 +
1*2035 + 1*2703 + 1*3727 + 1*3957 + 1*5695 + 1*7515 + 1*7577 + 1*11999 + 1*14610 + 1*14874 + 1*25281 + 1*28385 + 1*28853 + 1*53265 + 1*55017 + 1*55287 + 1*105213 + 1*105507 + 1*112225 +
1*198756 + 1*199536 + 1*236449 + 1*371127 + 1*371803 + 1*498179 + 1*681233 + 1*681291 + 1*1049623 + 1*1221333 + 1*1222175 + 1*2123554 + 1*2124602 + 1*2211471 + 1*3526649 + 1*3527397 +
1*4659391 + 1*5433021 + 1*5433563) +
4(9*0 + 3*2 + 2*6 + 1*14 + 2*22 + 1*30 + 1*40 + 3*44 + 1*62 + 1*80 + 1*116 + 1*130 + 1*156 + 1*200 + 1*252 + 1*274 + 1*374 + 1*550 + 1*578 + 1*844 + 1*1028 + 1*1218 + 1*1844 + 1*1864 + 1*2566 +
1*3492 + 1*3808 + 1*5406 + 1*6950 + 1*7374 + 1*11390 + 1*13932 + 1*14052 + 1*23998 + 1*26932 + 1*27400 + 1*50562 + 1*51936 + 1*52772 + 1*99766 + 1*100262 + 1*106530 + 1*188804 + 1*189276 +
1*224450 + 1*351964 + 1*353264 + 1*472898 + 1*646108 + 1*647272 + 1*996358 + 1*1159718 + 1*1159790 + 1*2015764 + 1*2016812 + 1*2099246 + 1*3347308 + 1*3348768 + 1*4422942 + 1*5156728 +
1*5158412) +
4(9*0 + 3*3 + 2*9 + 5*21 + 1*45 + 1*57 + 4*63 + 1*93 + 1*114 + 1*165 + 1*195 + 1*222 + 1*285 + 1*357 + 1*411 + 1*531 + 1*777 + 1*867 + 1*1191 + 1*1449 + 1*1827 + 1*2592 + 1*2616 + 1*3849 +
1*4887 + 1*5319 + 1*8109 + 1*9669 + 1*10251 + 1*17085 + 1*19251 + 1*19425 + 1*35997 + 1*36966 + 1*37578 + 1*70653 + 1*71757 + 1*75843 + 1*134247 + 1*134925 + 1*159795 + 1*250773 + 1*251307 +
1*336675 + 1*459624 + 1*461184 + 1*709347 + 1*824943 + 1*826407 + 1*1435281 + 1*1435671 + 1*1494537 + 1*2383293 + 1*2383911 + 1*3148869 + 1*3671262 + 1*3672498) +
4(9*0 + 3*4 + 2*12 + 3*20 + 1*28 + 1*40 + 3*60 + 1*72 + 5*80 + 1*124 + 1*144 + 1*208 + 1*260 + 1*280 + 1*360 + 1*448 + 1*548 + 1*668 + 1*972 + 1*1156 + 1*1488 + 1*1808 + 1*2436 + 1*3224 +
1*3248 + 1*5132 + 1*6048 + 1*6568 + 1*10812 + 1*11884 + 1*12588 + 1*22780 + 1*23472 + 1*23696 + 1*44712 + 1*45408 + 1*47996 + 1*84536 + 1*85808 + 1*101124 + 1*158460 + 1*159276 + 1*213060 +
1*291120 + 1*291600 + 1*448900 + 1*521736 + 1*523296 + 1*907632 + 1*909208 + 1*945796 + 1*1507980 + 1*1508876 + 1*1992716 + 1*2323472 + 1*2323920) +
4(9*0 + 3*5 + 2*15 + 3*19 + 1*35 + 3*57 + 1*75 + 1*85 + 4*95 + 1*114 + 2*133 + 1*155 + 1*170 + 1*190 + 1*245 + 1*325 + 1*330 + 1*425 + 1*525 + 1*685 + 1*785 + 1*1135 + 1*1445 + 1*1735 + 1*2105 +
1*3045 + 1*3740 + 1*3760 + 1*6415 + 1*6975 + 1*7555 + 1*13515 + 1*13595 + 1*14385 + 1*26595 + 1*26865 + 1*28475 + 1*50170 + 1*50890 + 1*59995 + 1*93585 + 1*94925 + 1*126405 + 1*172405 +
1*173315 + 1*266325 + 1*309845 + 1*310155 + 1*538300 + 1*539600 + 1*561125 + 1*894175 + 1*895675 + 1*1182245 + 1*1377815 + 1*1379405) +
4(9*0 + 3*6 + 5*18 + 1*42 + 2*54 + 1*72 + 1*90 + 1*96 + 4*108 + 1*126 + 1*144 + 1*180 + 1*186 + 1*192 + 2*252 + 1*270 + 1*276 + 1*360 + 1*372 + 1*390 + 1*480 + 1*588 + 1*822 + 1*882 + 1*1266 +
1*1734 + 1*1932 + 1*2340 + 1*3654 + 1*4140 + 1*4152 + 1*7668 + 1*7698 + 1*8280 + 1*14802 + 1*15642 + 1*16218 + 1*28620 + 1*28932 + 1*34170 + 1*53340 + 1*54024 + 1*71994 + 1*97800 + 1*99108 +
1*151686 + 1*176082 + 1*177042 + 1*306948 + 1*306972 + 1*319590 + 1*509316 + 1*510096 + 1*673350 + 1*784572 + 1*785808) +
4(9*0 + 3*7 + 3*17 + 2*21 + 1*49 + 2*51 + 1*85 + 2*105 + 5*119 + 1*170 + 1*210 + 1*217 + 1*221 + 1*255 + 1*301 + 1*306 + 1*357 + 1*406 + 1*425 + 1*455 + 1*525 + 1*527 + 1*595 + 1*629 + 1*637 +
1*959 + 1*959 + 1*1365 + 1*2023 + 1*2079 + 1*2513 + 1*4263 + 1*4424 + 1*4424 + 1*8127 + 1*8743 + 1*8981 + 1*15505 + 1*16359 + 1*18921 + 1*29547 + 1*29897 + 1*39865 + 1*54222 + 1*54810 +
1*83993 + 1*97181 + 1*98357 + 1*169491 + 1*170457 + 1*176967 + 1*282051 + 1*282429 + 1*372855 + 1*434784 + 1*434784) +
4(9*0 + 3*8 + 3*16 + 2*24 + 2*48 + 1*56 + 1*96 + 2*112 + 1*120 + 4*128 + 1*192 + 1*224 + 1*240 + 1*248 + 1*256 + 1*320 + 1*352 + 1*432 + 1*448 + 1*480 + 1*496 + 1*520 + 1*560 + 1*672 + 1*752 +
1*816 + 1*1016 + 1*1040 + 1*1096 + 1*1152 + 1*1280 + 1*1432 + 1*2176 + 1*2312 + 1*2624 + 1*4576 + 1*4592 + 1*4872 + 1*8352 + 1*8944 + 1*10264 + 1*15704 + 1*16536 + 1*21624 + 1*29376 +
1*29760 + 1*45560 + 1*52816 + 1*53248 + 1*91728 + 1*92672 + 1*95992 + 1*152632 + 1*153560 + 1*202248 + 1*235392 + 1*236288) +
4(9*0 + 3*9 + 3*15 + 2*27 + 2*45 + 1*63 + 2*105 + 1*117 + 5*135 + 1*210 + 1*225 + 1*234 + 1*279 + 1*285 + 1*333 + 1*390 + 1*450 + 1*465 + 2*525 + 2*585 + 1*693 + 1*855 + 1*975 + 1*1005 +
1*1053 + 1*1233 + 1*1455 + 1*1467 + 1*1665 + 1*2055 + 1*2223 + 1*2280 + 1*2520 + 1*2601 + 1*2673 + 1*4608 + 1*4644 + 1*5481 + 1*8343 + 1*8883 + 1*11547 + 1*15399 + 1*16173 + 1*24327 +
1*28107 + 1*28521 + 1*49122 + 1*49338 + 1*51255 + 1*81441 + 1*82053 + 1*107991 + 1*125505 + 1*126351) +
4(9*0 + 3*10 + 3*14 + 2*30 + 2*42 + 1*70 + 1*98 + 1*112 + 1*120 + 4*140 + 1*150 + 1*210 + 1*224 + 1*240 + 1*308 + 1*310 + 1*340 + 1*420 + 1*434 + 1*460 + 1*560 + 1*588 + 1*600 + 1*650 + 1*700 +
1*910 + 1*938 + 1*1070 + 1*1162 + 1*1370 + 1*1470 + 1*1708 + 1*1918 + 1*1988 + 1*2220 + 1*2660 + 1*2890 + 1*2968 + 1*3164 + 1*4046 + 1*4520 + 1*4580 + 1*4648 + 1*4788 + 1*6090 + 1*8100 +
1*8560 + 1*12830 + 1*14590 + 1*15270 + 1*25740 + 1*26180 + 1*27030 + 1*43080 + 1*43140 + 1*56950 + 1*66320 + 1*66500) +
4(9*0 + 3*11 + 3*13 + 2*33 + 2*39 + 1*77 + 1*91 + 1*117 + 1*121 + 4*143 + 1*165 + 1*195 + 1*234 + 1*242 + 1*325 + 2*341 + 1*403 + 1*442 + 1*462 + 1*585 + 1*605 + 1*637 + 1*693 + 1*715 + 1*845 +
1*1001 + 1*1067 + 1*1287 + 1*1441 + 1*1507 + 1*1781 + 1*1911 + 1*2167 + 1*2249 + 1*2585 + 1*3179 + 1*3536 + 1*3692 + 1*3757 + 1*4312 + 1*4400 + 1*5967 + 1*6019 + 1*6699 + 1*7623 + 1*7917 +
1*7975 + 1*9139 + 1*9321 + 1*13277 + 1*13827 + 1*14113 + 1*22275 + 1*22737 + 1*29733 + 1*34474 + 1*34870) +
2(9*0 + 6*12 + 4*36 + 2*84 + 2*120 + 4*144 + 2*180 + 2*240 + 2*336 + 2*372 + 2*456 + 2*600 + 2*672 + 2*780 + 2*1044 + 2*1380 + 2*1644 + 2*2064 + 2*2448 + 2*3468 + 2*3984 + 2*4104 + 2*6912 +
2*7128 + 2*7308 + 2*11460 + 2*11844 + 2*15396 + 2*17712 + 2*18192) +
2(73*0 + 2*23) +
24(75*0)
= 953707364 + 145692604 + 138299432 + 98461464 + 62311200 + 36971032 + 21062784 + 11674904 + 6356384 + 3440856 + 1907072 + 1177048 + 481296 + 92
= 1481543532
Value repetition frequencies = 4(63*1 + 3*2 + 2*3) +
4(59*1 + 1*2 + 2*3 + 1*8) +
4(56*1 + 2*2 + 2*3 + 1*9) +
4(52*1 + 1*2 + 1*3 + 1*4 + 1*5 + 1*9) +
4(50*1 + 1*2 + 3*3 + 1*5 + 1*9) +
4(49*1 + 2*2 + 3*3 + 1*4 + 1*9) +
4(50*1 + 2*2 + 1*3 + 1*4 + 1*5 + 1*9) +
4(49*1 + 3*2 + 2*3 + 1*5 + 1*9) +
4(50*1 + 3*2 + 2*3 + 1*4 + 1*9) +
4(45*1 + 5*2 + 2*3 + 1*5 + 1*9) +
4(52*1 + 2*2 + 2*3 + 1*4 + 1*9) +
4(50*1 + 3*2 + 2*3 + 1*4 + 1*9) +
2(26*2 + 2*4 + 1*6 + 1*9) +
2(1*2 + 1*73) +
23(1*75)
= 5625
Number of distinct row element sets = 15
Number of rows = 2*2 + 12*4 + 1*24
= 75
Number of distinct values = 643
Distinct values 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Frequency 2293 12 24 20 20 12 20 16 12 20 16 12 20 12 16 24
Distinct values 16 17 18 19 20 21 22 23 24 27 28 30 31 33 35 36
Frequency 12 12 20 12 12 32 12 16 12 12 4 12 4 8 4 8
Distinct values 39 40 42 44 45 46 48 49 51 54 56 57 60 61 62 63
Frequency 8 8 16 12 12 8 8 4 8 8 4 16 12 4 4 20
Distinct values 65 70 72 75 77 80 82 84 85 90 91 93 95 96 98 105
Frequency 4 4 8 4 4 24 4 4 8 12 4 4 16 12 4 20
Distinct values 108 112 114 116 117 119 120 121 124 126 128 130 133 134 135 137
Frequency 16 12 8 4 8 20 12 4 4 4 16 4 12 4 20 4
Distinct values 140 143 144 150 155 156 165 170 180 186 190 192 195 197 200 202
Frequency 16 16 16 4 4 4 8 8 12 4 4 8 8 4 4 4
Distinct values 208 210 212 217 221 222 224 225 234 240 242 245 248 252 255 256
Frequency 4 12 4 4 4 4 8 4 8 12 4 4 4 12 4 4
Distinct values 260 270 274 276 279 280 285 289 291 301 306 308 310 320 325 330
Frequency 4 4 4 4 4 4 8 4 4 4 4 4 4 4 8 4
Distinct values 333 336 340 341 342 352 357 360 372 374 390 403 406 411 420 425
Frequency 4 4 4 8 4 4 8 8 8 4 8 4 4 4 4 8
Distinct values 426 432 434 442 447 448 450 455 456 460 462 465 480 496 520 525
Frequency 4 4 4 4 4 12 4 4 4 4 4 4 8 4 4 16
Distinct values 527 531 545 548 550 560 578 585 588 595 600 605 609 629 637 650
Frequency 4 4 4 4 4 8 4 12 8 4 8 4 4 4 8 4
Distinct values 668 672 685 693 700 715 752 754 777 780 785 816 822 844 845 855
Frequency 4 8 4 8 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 864 867 882 898 910 938 959 972 975 980 992 1001 1005 1016 1028 1040
Frequency 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4
Distinct values 1044 1053 1067 1070 1096 1135 1152 1156 1162 1191 1218 1233 1266 1280 1283 1287
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 1365 1370 1380 1432 1441 1445 1449 1455 1467 1470 1488 1507 1620 1636 1644 1665
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 1708 1734 1735 1781 1808 1827 1844 1863 1864 1892 1911 1918 1932 1988 2023 2035
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 2055 2064 2079 2105 2167 2176 2220 2223 2249 2280 2312 2340 2436 2448 2513 2520
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 2566 2585 2592 2601 2616 2624 2660 2673 2703 2890 2968 3045 3142 3164 3179 3224
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 3248 3342 3468 3492 3536 3654 3692 3727 3740 3757 3760 3808 3849 3957 3984 3986
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 4046 4104 4140 4152 4263 4312 4400 4424 4520 4576 4580 4592 4608 4644 4648 4788
Frequency 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4
Distinct values 4872 4887 5132 5319 5406 5481 5695 5967 6019 6048 6090 6304 6415 6568 6570 6699
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 6912 6950 6975 7128 7308 7374 7515 7555 7577 7623 7668 7698 7917 7975 8100 8109
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 8127 8280 8343 8352 8398 8560 8743 8883 8944 8981 9139 9321 9669 10251 10264 10812
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 11390 11460 11547 11844 11884 11999 12588 12716 12782 12830 13277 13515 13595 13827 13932 14052
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 14113 14385 14590 14610 14802 14874 15270 15396 15399 15505 15642 15704 16173 16218 16359 16536
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 17085 17694 17712 18192 18921 19251 19425 21624 22275 22737 22780 23472 23696 23998 24327 24994
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 25281 25318 25740 26180 26595 26865 26932 27030 27400 28107 28385 28475 28521 28620 28853 28932
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 29376 29547 29733 29760 29897 34170 34474 34870 35997 36966 37280 37578 39865 43080 43140 44712
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 45408 45560 47996 49120 49122 49338 49688 50170 50562 50890 51255 51936 52772 52816 53248 53265
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 53340 54024 54222 54810 55017 55287 56950 59995 66320 66500 70653 71757 71994 75843 78546 81441
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 82053 83993 84536 85808 91728 92672 93585 94925 95992 96346 96660 97181 97800 98357 99108 99766
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 100262 101124 105213 105507 106530 107991 112225 125505 126351 126405 134247 134925 151686 152632 153560 158460
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 159276 159795 165490 169491 170457 172405 173315 176082 176967 177042 187132 187542 188804 189276 198756 199536
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 202248 213060 224450 235392 236288 236449 250773 251307 266325 282051 282429 291120 291600 306948 306972 309845
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 310155 319590 336675 348674 351964 353264 360504 361544 371127 371803 372855 434784 448900 459624 461184 472898
Frequency 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4 4
Distinct values 498179 509316 510096 521736 523296 538300 539600 561125 646108 647272 673350 681233 681291 689258 690122 709347
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 734628 784572 785808 824943 826407 894175 895675 907632 909208 945796 996358 1049623 1159718 1159790 1182245 1221333
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 1222175 1303494 1303740 1377815 1379405 1435281 1435671 1494537 1507980 1508876 1547802 1992716 2015764 2016812 2099246 2123554
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 2124602 2211471 2323472 2323920 2383293 2383911 2430882 2432360 3148869 3261094 3347308 3348768 3526649 3527397 3671262 3672498
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 4422942 4458718 4460402 4659391 5156728 5158412 5433021 5433563 6870862 7997356 7997916 13903816 13904734 14476352 23087160 23088826
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 30500506 35565436 35567532
Frequency 4 4 4
Sum of distinct value frequencies = 552*4 + 36*8 + 27*12 + 13*16 + 10*20 + 3*24 + 1*32 + 1*2293
= 5625
Number of SN-EN pairs for which the number of CNSAPs is greater than zero = 2*2 + 42*66 + 4*67 + 4*72
= 3332
Number of SN-EN pairs, with SN != EN, for which the number of CNSAPs equals zero = 2218
Number of possible SN-EN pairs with SN != EN = 74*75
= 5550
