This site is supported by donations to The OEIS Foundation.
Complete non-self-adjacent paths:Results 03B
From OeisWiki
There are no approved revisions of this page, so it may not have been a = 13, b = 4
L C
3 8
4 16
5 40
6 80
7 184
8 268
9 616
10 948
11 2532
12 3632
13 8536
14 12636
15 26256
16 41464
17 76900
18 119956
19 193288
20 263632
21 368248
22 444292
23 542064
24 576060
25 668276
26 608184
27 626720
28 494772
29 499492
30 314516
31 310600
32 121616
33 103860
34 20308
35 1952
36 64
Total 6452016
Number of times each node is the start 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
L
3 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 0 0 0 0 0 0 0 0 0 2 0
0 2 0 0 0 0 0 0 0 0 0 2 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 2 2 0 0 0 0 0 0 0 2 2 0
0 2 2 0 0 0 0 0 0 0 2 2 0
0 0 0 0 0 0 0 0 0 0 0 0 0
5 0 2 1 0 0 0 0 0 0 0 1 2 0
1 0 4 2 0 0 0 0 0 2 4 0 1
1 0 4 2 0 0 0 0 0 2 4 0 1
0 2 1 0 0 0 0 0 0 0 1 2 0
6 3 0 6 3 0 0 0 0 0 3 6 0 3
0 0 0 6 2 0 0 0 2 6 0 0 0
0 0 0 6 2 0 0 0 2 6 0 0 0
3 0 6 3 0 0 0 0 0 3 6 0 3
7 0 3 1 12 5 0 0 0 5 12 1 3 0
2 2 2 4 10 4 2 4 10 4 2 2 2
2 2 2 4 10 4 2 4 10 4 2 2 2
0 3 1 12 5 0 0 0 5 12 1 3 0
8 3 1 2 3 20 7 0 7 20 3 2 1 3
1 1 1 4 9 12 6 12 9 4 1 1 1
1 1 1 4 9 12 6 12 9 4 1 1 1
3 1 2 3 20 7 0 7 20 3 2 1 3
9 4 6 5 6 13 34 22 34 13 6 5 6 4
6 4 4 7 15 24 30 24 15 7 4 4 6
6 4 4 7 15 24 30 24 15 7 4 4 6
4 6 5 6 13 34 22 34 13 6 5 6 4
10 6 4 5 10 9 38 90 38 9 10 5 4 6
4 4 4 6 20 49 66 49 20 6 4 4 4
4 4 4 6 20 49 66 49 20 6 4 4 4
6 4 5 10 9 38 90 38 9 10 5 4 6
11 19 24 26 29 60 100 116 100 60 29 26 24 19
20 18 17 30 46 109 154 109 46 30 17 18 20
20 18 17 30 46 109 154 109 46 30 17 18 20
19 24 26 29 60 100 116 100 60 29 26 24 19
12 21 20 23 51 111 160 122 160 111 51 23 20 21
18 18 20 37 104 163 202 163 104 37 20 18 18
18 18 20 37 104 163 202 163 104 37 20 18 18
21 20 23 51 111 160 122 160 111 51 23 20 21
13 50 73 101 183 260 250 362 250 260 183 101 73 50
62 62 77 157 294 297 174 297 294 157 77 62 62
62 62 77 157 294 297 174 297 294 157 77 62 62
50 73 101 183 260 250 362 250 260 183 101 73 50
14 73 88 189 305 349 438 244 438 349 305 189 88 73
82 103 206 413 449 238 208 238 449 413 206 103 82
82 103 206 413 449 238 208 238 449 413 206 103 82
73 88 189 305 349 438 244 438 349 305 189 88 73
15 171 323 524 732 894 517 514 517 894 732 524 323 171
219 352 683 860 511 359 324 359 511 860 683 352 219
219 352 683 860 511 359 324 359 511 860 683 352 219
171 323 524 732 894 517 514 517 894 732 524 323 171
16 422 694 1135 1444 753 563 536 563 753 1444 1135 694 422
485 1002 1430 1030 633 364 286 364 633 1030 1430 1002 485
485 1002 1430 1030 633 364 286 364 633 1030 1430 1002 485
422 694 1135 1444 753 563 536 563 753 1444 1135 694 422
17 1094 1988 2672 1717 1179 1013 938 1013 1179 1717 2672 1988 1094
1560 2417 2123 1458 868 480 374 480 868 1458 2123 2417 1560
1560 2417 2123 1458 868 480 374 480 868 1458 2123 2417 1560
1094 1988 2672 1717 1179 1013 938 1013 1179 1717 2672 1988 1094
18 3083 4500 3223 1955 1574 1071 836 1071 1574 1955 3223 4500 3083
3769 3975 3054 1849 884 492 284 492 884 1849 3054 3975 3769
3769 3975 3054 1849 884 492 284 492 884 1849 3054 3975 3769
3083 4500 3223 1955 1574 1071 836 1071 1574 1955 3223 4500 3083
19 7503 6409 4207 3514 2296 1716 1466 1716 2296 3514 4207 6409 7503
7273 6470 4185 1957 1161 657 482 657 1161 1957 4185 6470 7273
7273 6470 4185 1957 1161 657 482 657 1161 1957 4185 6470 7273
7503 6409 4207 3514 2296 1716 1466 1716 2296 3514 4207 6409 7503
20 11456 8488 6975 3958 2564 1622 1534 1622 2564 3958 6975 8488 11456
12502 8937 4184 2347 1192 598 636 598 1192 2347 4184 8937 12502
12502 8937 4184 2347 1192 598 636 598 1192 2347 4184 8937 12502
11456 8488 6975 3958 2564 1622 1534 1622 2564 3958 6975 8488 11456
21 16152 14434 8433 5690 3734 2995 2614 2995 3734 5690 8433 14434 16152
18469 9609 5381 2837 1379 1155 974 1155 1379 2837 5381 9609 18469
18469 9609 5381 2837 1379 1155 974 1155 1379 2837 5381 9609 18469
16152 14434 8433 5690 3734 2995 2614 2995 3734 5690 8433 14434 16152
22 25856 15894 10678 6728 4256 2831 2546 2831 4256 6728 10678 15894 25856
19934 11488 6104 2640 1572 1219 1200 1219 1572 2640 6104 11488 19934
19934 11488 6104 2640 1572 1219 1200 1219 1572 2640 6104 11488 19934
25856 15894 10678 6728 4256 2831 2546 2831 4256 6728 10678 15894 25856
23 26971 19426 13918 9413 6480 5138 4552 5138 6480 9413 13918 19426 26971
23106 13570 6234 3444 2508 2065 1934 2065 2508 3444 6234 13570 23106
23106 13570 6234 3444 2508 2065 1934 2065 2508 3444 6234 13570 23106
26971 19426 13918 9413 6480 5138 4552 5138 6480 9413 13918 19426 26971
24 26087 22827 15677 10224 7106 4831 4196 4831 7106 10224 15677 22827 26087
27261 11961 6027 3810 2777 2267 2124 2267 2777 3810 6027 11961 27261
27261 11961 6027 3810 2777 2267 2124 2267 2777 3810 6027 11961 27261
26087 22827 15677 10224 7106 4831 4196 4831 7106 10224 15677 22827 26087
25 34246 21345 17419 13635 10112 8174 7458 8174 10112 13635 17419 21345 34246
25762 12001 6417 4785 4200 3586 3316 3586 4200 4785 6417 12001 25762
25762 12001 6417 4785 4200 3586 3316 3586 4200 4785 6417 12001 25762
34246 21345 17419 13635 10112 8174 7458 8174 10112 13635 17419 21345 34246
26 30591 21780 14503 12817 9620 7257 6626 7257 9620 12817 14503 21780 30591
22713 9119 5688 5246 4028 3682 3378 3682 4028 5246 5688 9119 22713
22713 9119 5688 5246 4028 3682 3378 3682 4028 5246 5688 9119 22713
30591 21780 14503 12817 9620 7257 6626 7257 9620 12817 14503 21780 30591
27 24607 20134 18598 13151 12594 11030 9796 11030 12594 13151 18598 20134 24607
20288 7642 5359 5743 5756 4546 4668 4546 5756 5743 5359 7642 20288
20288 7642 5359 5743 5756 4546 4668 4546 5756 5743 5359 7642 20288
24607 20134 18598 13151 12594 11030 9796 11030 12594 13151 18598 20134 24607
28 20846 15227 14358 13064 8600 7841 8370 7841 8600 13064 14358 15227 20846
13540 5410 4939 4469 5240 4501 2946 4501 5240 4469 4939 5410 13540
13540 5410 4939 4469 5240 4501 2946 4501 5240 4469 4939 5410 13540
20846 15227 14358 13064 8600 7841 8370 7841 8600 13064 14358 15227 20846
29 15353 15192 14103 13302 13401 10820 8528 10820 13401 13302 14103 15192 15353
10464 4906 4545 6459 4748 4715 5202 4715 4748 6459 4545 4906 10464
10464 4906 4545 6459 4748 4715 5202 4715 4748 6459 4545 4906 10464
15353 15192 14103 13302 13401 10820 8528 10820 13401 13302 14103 15192 15353
30 9768 8609 9316 9075 6724 6098 7600 6098 6724 9075 9316 8609 9768
5920 1361 3341 4686 5350 3316 2530 3316 5350 4686 3341 1361 5920
5920 1361 3341 4686 5350 3316 2530 3316 5350 4686 3341 1361 5920
9768 8609 9316 9075 6724 6098 7600 6098 6724 9075 9316 8609 9768
31 7076 7716 9299 8125 7971 8363 8310 8363 7971 8125 9299 7716 7076
5560 2323 2924 4550 4040 3678 3740 3678 4040 4550 2924 2323 5560
5560 2323 2924 4550 4040 3678 3740 3678 4040 4550 2924 2323 5560
7076 7716 9299 8125 7971 8363 8310 8363 7971 8125 9299 7716 7076
32 3477 3060 2340 2539 2616 3818 4048 3818 2616 2539 2340 3060 3477
816 428 1872 2262 1954 2154 2088 2154 1954 2262 1872 428 816
816 428 1872 2262 1954 2154 2088 2154 1954 2262 1872 428 816
3477 3060 2340 2539 2616 3818 4048 3818 2616 2539 2340 3060 3477
33 1889 3017 3348 2096 2074 3354 4256 3354 2074 2096 3348 3017 1889
1947 534 1114 1388 1244 1236 1192 1236 1244 1388 1114 534 1947
1947 534 1114 1388 1244 1236 1192 1236 1244 1388 1114 534 1947
1889 3017 3348 2096 2074 3354 4256 3354 2074 2096 3348 3017 1889
34 441 204 396 466 666 686 664 686 666 466 396 204 441
4 6 568 344 194 418 704 418 194 344 568 6 4
4 6 568 344 194 418 704 418 194 344 568 6 4
441 204 396 466 666 686 664 686 666 466 396 204 441
35 34 74 26 8 102 58 8 58 102 8 26 74 34
32 4 40 40 18 28 40 28 18 40 40 4 32
32 4 40 40 18 28 40 28 18 40 40 4 32
34 74 26 8 102 58 8 58 102 8 26 74 34
36 0 2 4 0 4 4 0 4 4 0 4 2 0
0 0 0 0 2 0 0 0 2 0 0 0 0
0 0 0 0 2 0 0 0 2 0 0 0 0
0 2 4 0 4 4 0 4 4 0 4 2 0
Total 267302 211564 171511 134255 106147 90827 86352 90827 106147 134255 171511 211564 267302
221820 113731 76549 62870 51208 42412 39264 42412 51208 62870 76549 113731 221820
221820 113731 76549 62870 51208 42412 39264 42412 51208 62870 76549 113731 221820
267302 211564 171511 134255 106147 90827 86352 90827 106147 134255 171511 211564 267302
Grand total = 2*39264 + 4*42412 + 4*51208 + 4*62870 + 4*76549 + 2*86352 + 4*90827 + 4*106147 + 4*113731 + 4*134255 + 4*171511 + 4*211564 + 4*221820 + 4*267302
= 6452016
Number of times each node is the end 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
L
3 2 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 0
2 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 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 0 0 0 0 0 0 0 0 0 0 4
5 10 0 0 0 0 0 0 0 0 0 0 0 10
0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0
10 0 0 0 0 0 0 0 0 0 0 0 10
6 20 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
20 0 0 0 0 0 0 0 0 0 0 0 20
7 33 2 2 2 2 2 2 2 2 2 2 2 33
2 0 0 0 0 0 0 0 0 0 0 0 2
2 0 0 0 0 0 0 0 0 0 0 0 2
33 2 2 2 2 2 2 2 2 2 2 2 33
8 56 1 2 2 2 2 2 2 2 2 2 1 56
1 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 1
56 1 2 2 2 2 2 2 2 2 2 1 56
9 99 6 9 10 10 10 10 10 10 10 9 6 99
5 0 0 0 0 0 0 0 0 0 0 0 5
5 0 0 0 0 0 0 0 0 0 0 0 5
99 6 9 10 10 10 10 10 10 10 9 6 99
10 173 6 9 13 14 14 14 14 14 13 9 6 173
1 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 1
173 6 9 13 14 14 14 14 14 13 9 6 173
11 331 24 42 47 53 54 54 54 53 47 42 24 331
15 4 8 8 8 8 8 8 8 8 8 4 15
15 4 8 8 8 8 8 8 8 8 8 4 15
331 24 42 47 53 54 54 54 53 47 42 24 331
12 606 24 40 54 61 69 70 69 61 54 40 24 606
1 0 4 4 4 4 4 4 4 4 4 0 1
1 0 4 4 4 4 4 4 4 4 4 0 1
606 24 40 54 61 69 70 69 61 54 40 24 606
13 1155 66 114 152 173 187 196 187 173 152 114 66 1155
29 10 24 36 36 36 36 36 36 36 24 10 29
29 10 24 36 36 36 36 36 36 36 24 10 29
1155 66 114 152 173 187 196 187 173 152 114 66 1155
14 2100 71 125 168 193 222 234 222 193 168 125 71 2100
1 0 24 38 40 40 40 40 40 38 24 0 1
1 0 24 38 40 40 40 40 40 38 24 0 1
2100 71 125 168 193 222 234 222 193 168 125 71 2100
15 3859 183 301 387 485 526 540 526 485 387 301 183 3859
47 16 60 102 130 132 132 132 130 102 60 16 47
47 16 60 102 130 132 132 132 130 102 60 16 47
3859 183 301 387 485 526 540 526 485 387 301 183 3859
16 6909 267 412 532 605 646 660 646 605 532 412 267 6909
3 0 66 136 174 190 192 190 174 136 66 0 3
3 0 66 136 174 190 192 190 174 136 66 0 3
6909 267 412 532 605 646 660 646 605 532 412 267 6909
17 12178 567 875 1055 1188 1263 1256 1263 1188 1055 875 567 12178
71 22 128 264 350 418 436 418 350 264 128 22 71
71 22 128 264 350 418 436 418 350 264 128 22 71
12178 567 875 1055 1188 1263 1256 1263 1188 1055 875 567 12178
18 20285 932 1387 1587 1584 1516 1498 1516 1584 1587 1387 932 20285
7 0 166 350 506 598 644 598 506 350 166 0 7
7 0 166 350 506 598 644 598 506 350 166 0 7
20285 932 1387 1587 1584 1516 1498 1516 1584 1587 1387 932 20285
19 31015 1763 2611 2785 2677 2547 2478 2547 2677 2785 2611 1763 31015
115 32 324 646 900 1090 1156 1090 900 646 324 32 115
115 32 324 646 900 1090 1156 1090 900 646 324 32 115
31015 1763 2611 2785 2677 2547 2478 2547 2677 2785 2611 1763 31015
20 42253 2864 4005 3968 3443 2909 2798 2909 3443 3968 4005 2864 42253
13 0 498 968 1312 1492 1568 1492 1312 968 498 0 13
13 0 498 968 1312 1492 1568 1492 1312 968 498 0 13
42253 2864 4005 3968 3443 2909 2798 2909 3443 3968 4005 2864 42253
21 53360 4814 6475 6265 5325 4648 4288 4648 5325 6265 6475 4814 53360
203 56 998 1840 2248 2456 2460 2456 2248 1840 998 56 203
203 56 998 1840 2248 2456 2460 2456 2248 1840 998 56 203
53360 4814 6475 6265 5325 4648 4288 4648 5325 6265 6475 4814 53360
22 61334 6801 8873 8156 6425 4992 4598 4992 6425 8156 8873 6801 61334
21 0 1618 2850 3184 3046 2948 3046 3184 2850 1618 0 21
21 0 1618 2850 3184 3046 2948 3046 3184 2850 1618 0 21
61334 6801 8873 8156 6425 4992 4598 4992 6425 8156 8873 6801 61334
23 61621 9654 12505 11542 9371 7616 6800 7616 9371 11542 12505 9654 61621
367 106 2858 4874 4978 4472 4304 4472 4978 4874 2858 106 367
367 106 2858 4874 4978 4472 4304 4472 4978 4874 2858 106 367
61621 9654 12505 11542 9371 7616 6800 7616 9371 11542 12505 9654 61621
24 59312 11572 14576 13154 10121 7636 6962 7636 10121 13154 14576 11572 59312
33 0 4048 6566 6162 5090 4528 5090 6162 6566 4048 0 33
33 0 4048 6566 6162 5090 4528 5090 6162 6566 4048 0 33
59312 11572 14576 13154 10121 7636 6962 7636 10121 13154 14576 11572 59312
25 57149 13615 17533 16061 13405 11002 9866 11002 13405 16061 17533 13615 57149
649 194 5508 8804 8410 6734 6144 6734 8410 8804 5508 194 649
649 194 5508 8804 8410 6734 6144 6734 8410 8804 5508 194 649
57149 13615 17533 16061 13405 11002 9866 11002 13405 16061 17533 13615 57149
26 46204 13723 16283 15039 12242 10081 9438 10081 12242 15039 16283 13723 46204
55 0 5664 9576 8724 6842 5788 6842 8724 9576 5664 0 55
55 0 5664 9576 8724 6842 5788 6842 8724 9576 5664 0 55
46204 13723 16283 15039 12242 10081 9438 10081 12242 15039 16283 13723 46204
27 35360 13600 18102 16224 14293 13127 12310 13127 14293 16224 18102 13600 35360
1117 336 6480 10322 9974 8002 7176 8002 9974 10322 6480 336 1117
1117 336 6480 10322 9974 8002 7176 8002 9974 10322 6480 336 1117
35360 13600 18102 16224 14293 13127 12310 13127 14293 16224 18102 13600 35360
28 25808 10829 13965 13325 10492 10017 10688 10017 10492 13325 13965 10829 25808
97 0 6362 9172 8486 6890 5812 6890 8486 9172 6362 0 97
97 0 6362 9172 8486 6890 5812 6890 8486 9172 6362 0 97
25808 10829 13965 13325 10492 10017 10688 10017 10492 13325 13965 10829 25808
29 18430 11304 14327 13262 12221 12059 12158 12059 12221 13262 14327 11304 18430
1901 566 6224 9912 8268 6900 6840 6900 8268 9912 6224 566 1901
1901 566 6224 9912 8268 6900 6840 6900 8268 9912 6224 566 1901
18430 11304 14327 13262 12221 12059 12158 12059 12221 13262 14327 11304 18430
30 10874 6896 8767 8183 7110 7396 8538 7396 7110 8183 8767 6896 10874
172 0 4666 7178 6274 4670 4348 4670 6274 7178 4666 0 172
172 0 4666 7178 6274 4670 4348 4670 6274 7178 4666 0 172
10874 6896 8767 8183 7110 7396 8538 7396 7110 8183 8767 6896 10874
31 7978 7201 8744 7456 7301 8587 8698 8587 7301 7456 8744 7201 7978
2924 894 4402 6094 4892 4462 4732 4462 4892 6094 4402 894 2924
2924 894 4402 6094 4892 4462 4732 4462 4892 6094 4402 894 2924
7978 7201 8744 7456 7301 8587 8698 8587 7301 7456 8744 7201 7978
32 2998 2605 2598 2537 2904 3762 4012 3762 2904 2537 2598 2605 2998
212 0 2438 2748 2088 2328 2360 2328 2088 2748 2438 0 212
212 0 2438 2748 2088 2328 2360 2328 2088 2748 2438 0 212
2998 2605 2598 2537 2904 3762 4012 3762 2904 2537 2598 2605 2998
33 2124 2749 2814 1998 2482 3064 3420 3064 2482 1998 2814 2749 2124
1624 484 1572 1664 1330 1514 1672 1514 1330 1664 1572 484 1624
1624 484 1572 1664 1330 1514 1672 1514 1330 1664 1572 484 1624
2124 2749 2814 1998 2482 3064 3420 3064 2482 1998 2814 2749 2124
34 389 234 410 446 724 686 648 686 724 446 410 234 389
18 0 572 336 178 412 696 412 178 336 572 0 18
18 0 572 336 178 412 696 412 178 336 572 0 18
389 234 410 446 724 686 648 686 724 446 410 234 389
35 32 72 30 8 100 58 8 58 100 8 30 72 32
32 4 40 40 20 28 40 28 20 40 40 4 32
32 4 40 40 20 28 40 28 20 40 40 4 32
32 72 30 8 100 58 8 58 100 8 30 72 32
36 0 2 4 0 4 4 0 4 4 0 4 2 0
0 0 0 0 2 0 0 0 2 0 0 0 0
0 0 0 0 2 0 0 0 2 0 0 0 0
0 2 4 0 4 4 0 4 4 0 4 2 0
Total 564061 122447 155940 144418 125010 114702 112244 114702 125010 144418 155940 122447 564061
9736 2724 54752 84528 78678 67854 64064 67854 78678 84528 54752 2724 9736
9736 2724 54752 84528 78678 67854 64064 67854 78678 84528 54752 2724 9736
564061 122447 155940 144418 125010 114702 112244 114702 125010 144418 155940 122447 564061
Grand total = 4*2724 + 4*9736 + 4*54752 + 2*64064 + 4*67854 + 4*78678 + 4*84528 + 2*112244 + 4*114702 + 4*122447 + 4*125010 + 4*144418 + 4*155940 + 4*564061
= 6452016
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
L
3 2 1 0 0 0 0 0 0 0 0 0 1 2
1 2 0 0 0 0 0 0 0 0 0 2 1
1 2 0 0 0 0 0 0 0 0 0 2 1
2 1 0 0 0 0 0 0 0 0 0 1 2
4 4 2 0 0 0 0 0 0 0 0 0 2 4
2 6 2 0 0 0 0 0 0 0 2 6 2
2 6 2 0 0 0 0 0 0 0 2 6 2
4 2 0 0 0 0 0 0 0 0 0 2 4
5 10 7 1 0 0 0 0 0 0 0 1 7 10
6 15 9 2 0 0 0 0 0 2 9 15 6
6 15 9 2 0 0 0 0 0 2 9 15 6
10 7 1 0 0 0 0 0 0 0 1 7 10
6 23 14 7 3 0 0 0 0 0 3 7 14 23
11 29 19 12 2 0 0 0 2 12 19 29 11
11 29 19 12 2 0 0 0 2 12 19 29 11
23 14 7 3 0 0 0 0 0 3 7 14 23
7 35 25 17 19 9 4 4 4 9 19 17 25 35
26 51 55 38 24 12 10 12 24 38 55 51 26
26 51 55 38 24 12 10 12 24 38 55 51 26
35 25 17 19 9 4 4 4 9 19 17 25 35
8 61 37 20 27 30 11 4 11 30 27 20 37 61
35 81 77 68 51 28 16 28 51 68 77 81 35
35 81 77 68 51 28 16 28 51 68 77 81 35
61 37 20 27 30 11 4 11 30 27 20 37 61
9 117 86 63 73 79 72 50 72 79 73 63 86 117
83 160 163 161 143 114 94 114 143 161 163 160 83
83 160 163 161 143 114 94 114 143 161 163 160 83
117 86 63 73 79 72 50 72 79 73 63 86 117
10 189 124 78 114 129 140 158 140 129 114 78 124 189
117 269 252 250 260 249 240 249 260 250 252 269 117
117 269 252 250 260 249 240 249 260 250 252 269 117
189 124 78 114 129 140 158 140 129 114 78 124 189
11 421 374 361 454 483 532 566 532 483 454 361 374 421
326 606 585 678 689 768 806 768 689 678 585 606 326
326 606 585 678 689 768 806 768 689 678 585 606 326
421 374 361 454 483 532 566 532 483 454 361 374 421
12 679 498 400 588 770 897 904 897 770 588 400 498 679
441 1005 933 935 1130 1396 1544 1396 1130 935 933 1005 441
441 1005 933 935 1130 1396 1544 1396 1130 935 933 1005 441
679 498 400 588 770 897 904 897 770 588 400 498 679
13 1438 1263 1284 1832 2318 2511 2658 2511 2318 1832 1284 1263 1438
1106 2149 2093 2252 2914 3427 3652 3427 2914 2252 2093 2149 1106
1106 2149 2093 2252 2914 3427 3652 3427 2914 2252 2093 2149 1106
1438 1263 1284 1832 2318 2511 2658 2511 2318 1832 1284 1263 1438
14 2395 1812 1664 2598 3404 4028 4136 4028 3404 2598 1664 1812 2395
1624 3574 3559 3984 4823 5684 6018 5684 4823 3984 3559 3574 1624
1624 3574 3559 3984 4823 5684 6018 5684 4823 3984 3559 3574 1624
2395 1812 1664 2598 3404 4028 4136 4028 3404 2598 1664 1812 2395
15 4718 4126 4330 6436 8359 9372 9580 9372 8359 6436 4330 4126 4718
3563 7365 7854 9137 10502 11870 12076 11870 10502 9137 7854 7365 3563
3563 7365 7854 9137 10502 11870 12076 11870 10502 9137 7854 7365 3563
4718 4126 4330 6436 8359 9372 9580 9372 8359 6436 4330 4126 4718
16 8238 6967 7167 10755 13092 14525 15096 14525 13092 10755 7167 6967 8238
5881 13337 14862 16807 18225 18882 19140 18882 18225 16807 14862 13337 5881
5881 13337 14862 16807 18225 18882 19140 18882 18225 16807 14862 13337 5881
8238 6967 7167 10755 13092 14525 15096 14525 13092 10755 7167 6967 8238
17 15484 14749 16322 22073 26098 28783 30022 28783 26098 22073 16322 14749 15484
12302 27089 30062 32805 34001 34409 35274 34409 34001 32805 30062 27089 12302
12302 27089 30062 32805 34001 34409 35274 34409 34001 32805 30062 27089 12302
15484 14749 16322 22073 26098 28783 30022 28783 26098 22073 16322 14749 15484
18 27004 26911 28055 36101 41658 44259 44918 44259 41658 36101 28055 26911 27004
22237 48676 52561 54454 54656 54069 53404 54069 54656 54454 52561 48676 22237
22237 48676 52561 54454 54656 54069 53404 54069 54656 54454 52561 48676 22237
27004 26911 28055 36101 41658 44259 44918 44259 41658 36101 28055 26911 27004
19 46696 48902 51888 65258 72617 75166 75186 75166 72617 65258 51888 48902 46696
41378 84383 87785 88220 87682 87354 86392 87354 87682 88220 87785 84383 41378
41378 84383 87785 88220 87682 87354 86392 87354 87682 88220 87785 84383 41378
46696 48902 51888 65258 72617 75166 75186 75166 72617 65258 51888 48902 46696
20 68966 74894 82020 98004 103123 101081 99544 101081 103123 98004 82020 74894 68966
66146 126041 125154 121910 119869 120560 121240 120560 119869 121910 125154 126041 66146
66146 126041 125154 121910 119869 120560 121240 120560 119869 121910 125154 126041 66146
68966 74894 82020 98004 103123 101081 99544 101081 103123 98004 82020 74894 68966
21 99240 119605 133457 153267 156334 151031 147330 151031 156334 153267 133457 119605 99240
106302 181234 174390 166270 165759 168356 168784 168356 165759 166270 174390 181234 106302
106302 181234 174390 166270 165759 168356 168784 168356 165759 166270 174390 181234 106302
99240 119605 133457 153267 156334 151031 147330 151031 156334 153267 133457 119605 99240
22 135026 165766 182580 198522 192958 179814 174314 179814 192958 198522 182580 165766 135026
147668 231121 213458 200658 201041 204590 206494 204590 201041 200658 213458 231121 147668
147668 231121 213458 200658 201041 204590 206494 204590 201041 200658 213458 231121 147668
135026 165766 182580 198522 192958 179814 174314 179814 192958 198522 182580 165766 135026
23 169900 225454 253408 266073 252664 234024 226650 234024 252664 266073 253408 225454 169900
202530 278005 252819 244968 248077 249731 251780 249731 248077 244968 252819 278005 202530
202530 278005 252819 244968 248077 249731 251780 249731 248077 244968 252819 278005 202530
169900 225454 253408 266073 252664 234024 226650 234024 252664 266073 253408 225454 169900
24 196380 272781 301818 301199 273421 246581 236804 246581 273421 301199 301818 272781 196380
251287 304596 266085 255251 261802 270408 272698 270408 261802 255251 266085 304596 251287
251287 304596 266085 255251 261802 270408 272698 270408 261802 255251 266085 304596 251287
196380 272781 301818 301199 273421 246581 236804 246581 273421 301199 301818 272781 196380
25 241406 339852 383573 382343 346550 313020 300152 313020 346550 382343 383573 339852 241406
316930 348390 298499 291731 297916 309203 314472 309203 297916 291731 298499 348390 316930
316930 348390 298499 291731 297916 309203 314472 309203 297916 291731 298499 348390 316930
241406 339852 383573 382343 346550 313020 300152 313020 346550 382343 383573 339852 241406
26 245071 343157 375912 362113 319152 284625 272382 284625 319152 362113 375912 343157 245071
332441 320721 264916 259373 274149 289152 292446 289152 274149 259373 264916 320721 332441
332441 320721 264916 259373 274149 289152 292446 289152 274149 259373 264916 320721 332441
245071 343157 375912 362113 319152 284625 272382 284625 319152 362113 375912 343157 245071
27 252388 373451 426310 404293 362979 328793 315930 328793 362979 404293 426310 373451 252388
360338 324307 270404 256262 277599 288938 292666 288938 277599 256262 270404 324307 360338
360338 324307 270404 256262 277599 288938 292666 288938 277599 256262 270404 324307 360338
252388 373451 426310 404293 362979 328793 315930 328793 362979 404293 426310 373451 252388
28 226429 325157 355385 326445 284367 261276 256266 261276 284367 326445 355385 325157 226429
323279 256184 197529 203777 228286 232632 229050 232632 228286 203777 197529 256184 323279
323279 256184 197529 203777 228286 232632 229050 232632 228286 203777 197529 256184 323279
226429 325157 355385 326445 284367 261276 256266 261276 284367 326445 355385 325157 226429
29 231136 350201 383908 356868 317256 294366 287398 294366 317256 356868 383908 350201 231136
341523 263575 184838 198825 216477 225279 226732 225279 216477 198825 184838 263575 341523
341523 263575 184838 198825 216477 225279 226732 225279 216477 198825 184838 263575 341523
231136 350201 383908 356868 317256 294366 287398 294366 317256 356868 383908 350201 231136
30 169488 234389 251721 227545 199447 185203 183782 185203 199447 227545 251721 234389 169488
249258 147862 113045 128504 142121 145009 146774 145009 142121 128504 113045 147862 249258
249258 147862 113045 128504 142121 145009 146774 145009 142121 128504 113045 147862 249258
169488 234389 251721 227545 199447 185203 183782 185203 199447 227545 251721 234389 169488
31 175605 240552 264750 239154 213559 207606 207998 207606 213559 239154 264750 240552 175605
269379 135612 102283 118129 133173 135822 135054 135822 133173 118129 102283 135612 269379
269379 135612 102283 118129 133173 135822 135054 135822 133173 118129 102283 135612 269379
175605 240552 264750 239154 213559 207606 207998 207606 213559 239154 264750 240552 175605
32 76920 98857 105344 91854 83404 84688 85808 84688 83404 91854 105344 98857 76920
113259 46254 42148 49952 55050 55630 53328 55630 55050 49952 42148 46254 113259
113259 46254 42148 49952 55050 55630 53328 55630 55050 49952 42148 46254 113259
76920 98857 105344 91854 83404 84688 85808 84688 83404 91854 105344 98857 76920
33 69444 91330 96240 75238 71502 81120 87280 81120 71502 75238 96240 91330 69444
100838 33953 35024 45412 49806 43554 39488 43554 49806 45412 35024 33953 100838
100838 33953 35024 45412 49806 43554 39488 43554 49806 45412 35024 33953 100838
69444 91330 96240 75238 71502 81120 87280 81120 71502 75238 96240 91330 69444
34 14374 18424 19544 13940 13562 15900 17548 15900 13562 13940 19544 18424 14374
20082 6120 7664 9710 11210 9116 8396 9116 11210 9710 7664 6120 20082
20082 6120 7664 9710 11210 9116 8396 9116 11210 9710 7664 6120 20082
14374 18424 19544 13940 13562 15900 17548 15900 13562 13940 19544 18424 14374
35 1462 1902 1780 1148 1784 1732 1280 1732 1784 1148 1780 1902 1462
1900 514 920 1000 914 880 1008 880 914 1000 920 514 1900
1900 514 920 1000 914 880 1008 880 914 1000 920 514 1900
1462 1902 1780 1148 1784 1732 1280 1732 1784 1148 1780 1902 1462
36 50 64 60 24 64 64 24 64 64 24 60 64 50
64 14 36 40 32 32 40 32 32 40 36 14 64
64 14 36 40 32 32 40 32 32 40 36 14 64
50 64 60 24 64 64 24 64 64 24 60 64 50
Total 2480799 3381734 3729467 3644361 3361172 3151224 3083772 3151224 3361172 3644361 3729467 3381734 2480799
3292363 3193300 2750083 2761575 2898383 2967154 2979116 2967154 2898383 2761575 2750083 3193300 3292363
3292363 3193300 2750083 2761575 2898383 2967154 2979116 2967154 2898383 2761575 2750083 3193300 3292363
2480799 3381734 3729467 3644361 3361172 3151224 3083772 3151224 3361172 3644361 3729467 3381734 2480799
Grand total = 4*2480799 + 4*2750083 + 4*2761575 + 4*2898383 + 4*2967154 + 2*2979116 + 2*3083772 + 4*3151224 + 4*3193300 + 4*3292363 + 4*3361172 + 4*3381734 + 4*3644361 + 4*3729467
= 162572236
Number of CNSAPs for each start node (SN) and end 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
EN
0 0 0 5641 5949 6335 5997 7322 10090 14542 20683 27828 34488 43455 0 2 1138 2538 3341 3170 3377 4611 6933 9739 12636 18485 35573 4330 2 4 641 1679 2644 4179 5883 7633 9568 12173
18197 35313 3044 1840 1842 2239 3543 5868 8906 11950 15327 20172 26778 33688 42745
1 0 0 0 4104 10 576 870 2708 3982 4872 5772 6988 8938 3694 0 1270 1202 2 10 384 1286 2048 2408 2654 3794 7378 0 0 0 0 666 1742 1114 738 948 1664 2560
3900 7488 0 0 0 633 1890 2332 1854 1726 2322 3784 5698 7304 9134
2 4502 0 0 0 4998 30 1206 1822 4532 6596 8044 9286 11668 1946 3024 0 2006 1272 8 30 828 2222 3226 3674 4938 9404 0 0 0 0 0 1392 2738 1892 1354 1758 2850
4692 9202 0 0 0 0 1328 3528 3798 3056 2980 4148 6386 8628 10948
3 3396 5266 0 0 0 5148 66 1606 2426 5452 7636 8894 10900 1026 1026 2162 0 2108 1168 20 66 1132 2582 3452 4610 8580 1026 0 0 0 0 0 1820 3188 2302 1728 2298
3978 8014 1026 633 0 0 0 1903 4412 4416 3644 3746 5132 7130 9300
4 2328 1788 5776 0 0 0 5442 130 1770 2610 5420 6980 8500 1788 540 1356 2040 0 2042 1216 40 130 1220 2450 3610 6710 2328 1080 0 0 0 0 0 1920 3290 2340 1950
3050 6190 2868 2634 1328 0 0 0 2160 4586 4570 3960 4200 5420 7250
5 2066 1784 938 5906 0 0 0 5750 252 1848 2532 4544 5780 2440 938 282 1578 2178 0 2092 1352 76 252 1264 2524 4896 3378 2158 1410 0 0 0 0 0 1900 3100 2220
2548 4920 4598 4316 4098 1903 0 0 0 2209 4644 4792 4364 4692 6180
6 3412 2240 1802 488 5886 0 0 0 5886 488 1802 2240 3412 3462 1560 488 146 1514 2196 0 2196 1514 146 488 1560 3462 4146 2390 2586 1752 0 0 0 0 0 1752 2586
2390 4146 5610 4634 4976 4674 2160 0 0 0 2160 4674 4976 4634 5610
7 5780 4544 2532 1848 252 5750 0 0 0 5906 938 1784 2066 4896 2524 1264 252 76 1352 2092 0 2178 1578 282 938 2440 4920 2548 2220 3100 1900 0 0 0 0 0 1410
2158 3378 6180 4692 4364 4792 4644 2209 0 0 0 1903 4098 4316 4598
8 8500 6980 5420 2610 1770 130 5442 0 0 0 5776 1788 2328 6710 3610 2450 1220 130 40 1216 2042 0 2040 1356 540 1788 6190 3050 1950 2340 3290 1920 0 0 0 0 0
1080 2328 7250 5420 4200 3960 4570 4586 2160 0 0 0 1328 2634 2868
9 10900 8894 7636 5452 2426 1606 66 5148 0 0 0 5266 3396 8580 4610 3452 2582 1132 66 20 1168 2108 0 2162 1026 1026 8014 3978 2298 1728 2302 3188 1820 0 0 0 0
0 1026 9300 7130 5132 3746 3644 4416 4412 1903 0 0 0 633 1026
10 11668 9286 8044 6596 4532 1822 1206 30 4998 0 0 0 4502 9404 4938 3674 3226 2222 828 30 8 1272 2006 0 3024 1946 9202 4692 2850 1758 1354 1892 2738 1392 0 0 0
0 0 10948 8628 6386 4148 2980 3056 3798 3528 1328 0 0 0 0
11 8938 6988 5772 4872 3982 2708 870 576 10 4104 0 0 0 7378 3794 2654 2408 2048 1286 384 10 2 1202 1270 0 3694 7488 3900 2560 1664 948 738 1114 1742 666 0 0
0 0 9134 7304 5698 3784 2322 1726 1854 2332 1890 633 0 0 0
12 43455 34488 27828 20683 14542 10090 7322 5997 6335 5949 5641 0 0 35573 18485 12636 9739 6933 4611 3377 3170 3341 2538 1138 2 0 35313 18197 12173 9568 7633 5883 4179 2644 1679 641 4
2 4330 42745 33688 26778 20172 15327 11950 8906 5868 3543 2239 1842 1840 3044
13 0 3694 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2281 0 0 0 0 0 0 0 0 0
0 0 3126 635 0 0 0 0 0 0 0 0 0 0 0
14 0 0 1078 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1646 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
15 1736 1268 0 1136 536 356 362 622 1290 2048 2698 3188 3974 1736 0 0 0 668 6 192 214 596 976 1228 1684 3188 868 868 0 2 2 2 730 784 708 706 960
1558 3078 0 0 0 0 0 566 1424 1378 1280 1516 2128 2844 3648
16 2290 1832 1998 0 1500 1136 760 784 1352 2760 4200 5168 6360 1374 1374 0 0 0 1400 24 424 488 1240 1888 2704 5072 458 458 458 0 8 8 8 1544 1664 1480 1536
2400 4792 458 0 0 0 0 0 1176 2960 2904 2800 3320 4320 5648
17 2160 1440 1440 2088 0 1896 1368 936 990 1674 3150 4320 5382 1440 720 1440 0 0 0 1656 54 540 630 1404 2304 4428 1200 240 240 240 0 18 18 18 1818 1872 1692
2214 4320 1440 720 0 0 0 0 0 1386 3492 3510 3492 4032 5256
18 1860 1488 1116 1240 2002 0 2050 1360 986 1088 1666 2686 3502 1612 868 372 1612 0 0 0 1666 102 578 714 1530 3128 1984 1116 124 124 124 0 34 34 34 1666 1632
1870 3400 2604 2480 1116 0 0 0 0 0 1394 3468 3502 3536 4386
19 2240 1600 1216 1024 1280 2016 0 2016 1280 1024 1216 1600 2240 2176 960 640 192 1664 0 0 0 1664 192 640 960 2176 2688 1536 1344 64 64 64 0 64 64 64 1344
1536 2688 3584 3136 3200 1344 0 0 0 0 0 1344 3200 3136 3584
20 3502 2686 1666 1088 986 1360 2050 0 2002 1240 1116 1488 1860 3128 1530 714 578 102 1666 0 0 0 1612 372 868 1612 3400 1870 1632 1666 34 34 34 0 124 124 124
1116 1984 4386 3536 3502 3468 1394 0 0 0 0 0 1116 2480 2604
21 5382 4320 3150 1674 990 936 1368 1896 0 2088 1440 1440 2160 4428 2304 1404 630 540 54 1656 0 0 0 1440 720 1440 4320 2214 1692 1872 1818 18 18 18 0 240 240
240 1200 5256 4032 3492 3510 3492 1386 0 0 0 0 0 720 1440
22 6360 5168 4200 2760 1352 784 760 1136 1500 0 1998 1832 2290 5072 2704 1888 1240 488 424 24 1400 0 0 0 1374 1374 4792 2400 1536 1480 1664 1544 8 8 8 0 458
458 458 5648 4320 3320 2800 2904 2960 1176 0 0 0 0 0 458
23 3974 3188 2698 2048 1290 622 362 356 536 1136 0 1268 1736 3188 1684 1228 976 596 214 192 6 668 0 0 0 1736 3078 1558 960 706 708 784 730 2 2 2 0
868 868 3648 2844 2128 1516 1280 1378 1424 566 0 0 0 0 0
24 0 0 0 0 0 0 0 0 0 0 1078 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1646 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 3694 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2281 0 0 0 0 0 0 0 0 0 0 0 0 635 3126
26 3126 635 0 0 0 0 0 0 0 0 0 0 0 0 2281 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 3694 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 1646 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 1078 0 0 0 0 0 0 0 0 0 0
28 0 0 0 0 0 566 1424 1378 1280 1516 2128 2844 3648 868 868 0 2 2 2 730 784 708 706 960 1558 3078 1736 0 0 0 668 6 192 214 596 976 1228
1684 3188 1736 1268 0 1136 536 356 362 622 1290 2048 2698 3188 3974
29 458 0 0 0 0 0 1176 2960 2904 2800 3320 4320 5648 458 458 458 0 8 8 8 1544 1664 1480 1536 2400 4792 1374 1374 0 0 0 1400 24 424 488 1240 1888
2704 5072 2290 1832 1998 0 1500 1136 760 784 1352 2760 4200 5168 6360
30 1440 720 0 0 0 0 0 1386 3492 3510 3492 4032 5256 1200 240 240 240 0 18 18 18 1818 1872 1692 2214 4320 1440 720 1440 0 0 0 1656 54 540 630 1404
2304 4428 2160 1440 1440 2088 0 1896 1368 936 990 1674 3150 4320 5382
31 2604 2480 1116 0 0 0 0 0 1394 3468 3502 3536 4386 1984 1116 124 124 124 0 34 34 34 1666 1632 1870 3400 1612 868 372 1612 0 0 0 1666 102 578 714
1530 3128 1860 1488 1116 1240 2002 0 2050 1360 986 1088 1666 2686 3502
32 3584 3136 3200 1344 0 0 0 0 0 1344 3200 3136 3584 2688 1536 1344 64 64 64 0 64 64 64 1344 1536 2688 2176 960 640 192 1664 0 0 0 1664 192 640
960 2176 2240 1600 1216 1024 1280 2016 0 2016 1280 1024 1216 1600 2240
33 4386 3536 3502 3468 1394 0 0 0 0 0 1116 2480 2604 3400 1870 1632 1666 34 34 34 0 124 124 124 1116 1984 3128 1530 714 578 102 1666 0 0 0 1612 372
868 1612 3502 2686 1666 1088 986 1360 2050 0 2002 1240 1116 1488 1860
34 5256 4032 3492 3510 3492 1386 0 0 0 0 0 720 1440 4320 2214 1692 1872 1818 18 18 18 0 240 240 240 1200 4428 2304 1404 630 540 54 1656 0 0 0 1440
720 1440 5382 4320 3150 1674 990 936 1368 1896 0 2088 1440 1440 2160
35 5648 4320 3320 2800 2904 2960 1176 0 0 0 0 0 458 4792 2400 1536 1480 1664 1544 8 8 8 0 458 458 458 5072 2704 1888 1240 488 424 24 1400 0 0 0
1374 1374 6360 5168 4200 2760 1352 784 760 1136 1500 0 1998 1832 2290
36 3648 2844 2128 1516 1280 1378 1424 566 0 0 0 0 0 3078 1558 960 706 708 784 730 2 2 2 0 868 868 3188 1684 1228 976 596 214 192 6 668 0 0
0 1736 3974 3188 2698 2048 1290 622 362 356 536 1136 0 1268 1736
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 1646 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 1078 0 0
38 0 0 0 0 0 0 0 0 0 0 0 635 3126 0 0 0 0 0 0 0 0 0 0 0 2281 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 3694 0
39 3044 1840 1842 2239 3543 5868 8906 11950 15327 20172 26778 33688 42745 4330 2 4 641 1679 2644 4179 5883 7633 9568 12173 18197 35313 0 2 1138 2538 3341 3170 3377 4611 6933 9739 12636
18485 35573 0 0 5641 5949 6335 5997 7322 10090 14542 20683 27828 34488 43455
40 0 0 0 633 1890 2332 1854 1726 2322 3784 5698 7304 9134 0 0 0 0 666 1742 1114 738 948 1664 2560 3900 7488 3694 0 1270 1202 2 10 384 1286 2048 2408 2654
3794 7378 0 0 0 4104 10 576 870 2708 3982 4872 5772 6988 8938
41 0 0 0 0 1328 3528 3798 3056 2980 4148 6386 8628 10948 0 0 0 0 0 1392 2738 1892 1354 1758 2850 4692 9202 1946 3024 0 2006 1272 8 30 828 2222 3226 3674
4938 9404 4502 0 0 0 4998 30 1206 1822 4532 6596 8044 9286 11668
42 1026 633 0 0 0 1903 4412 4416 3644 3746 5132 7130 9300 1026 0 0 0 0 0 1820 3188 2302 1728 2298 3978 8014 1026 1026 2162 0 2108 1168 20 66 1132 2582 3452
4610 8580 3396 5266 0 0 0 5148 66 1606 2426 5452 7636 8894 10900
43 2868 2634 1328 0 0 0 2160 4586 4570 3960 4200 5420 7250 2328 1080 0 0 0 0 0 1920 3290 2340 1950 3050 6190 1788 540 1356 2040 0 2042 1216 40 130 1220 2450
3610 6710 2328 1788 5776 0 0 0 5442 130 1770 2610 5420 6980 8500
44 4598 4316 4098 1903 0 0 0 2209 4644 4792 4364 4692 6180 3378 2158 1410 0 0 0 0 0 1900 3100 2220 2548 4920 2440 938 282 1578 2178 0 2092 1352 76 252 1264
2524 4896 2066 1784 938 5906 0 0 0 5750 252 1848 2532 4544 5780
45 5610 4634 4976 4674 2160 0 0 0 2160 4674 4976 4634 5610 4146 2390 2586 1752 0 0 0 0 0 1752 2586 2390 4146 3462 1560 488 146 1514 2196 0 2196 1514 146 488
1560 3462 3412 2240 1802 488 5886 0 0 0 5886 488 1802 2240 3412
46 6180 4692 4364 4792 4644 2209 0 0 0 1903 4098 4316 4598 4920 2548 2220 3100 1900 0 0 0 0 0 1410 2158 3378 4896 2524 1264 252 76 1352 2092 0 2178 1578 282
938 2440 5780 4544 2532 1848 252 5750 0 0 0 5906 938 1784 2066
47 7250 5420 4200 3960 4570 4586 2160 0 0 0 1328 2634 2868 6190 3050 1950 2340 3290 1920 0 0 0 0 0 1080 2328 6710 3610 2450 1220 130 40 1216 2042 0 2040 1356
540 1788 8500 6980 5420 2610 1770 130 5442 0 0 0 5776 1788 2328
48 9300 7130 5132 3746 3644 4416 4412 1903 0 0 0 633 1026 8014 3978 2298 1728 2302 3188 1820 0 0 0 0 0 1026 8580 4610 3452 2582 1132 66 20 1168 2108 0 2162
1026 1026 10900 8894 7636 5452 2426 1606 66 5148 0 0 0 5266 3396
49 10948 8628 6386 4148 2980 3056 3798 3528 1328 0 0 0 0 9202 4692 2850 1758 1354 1892 2738 1392 0 0 0 0 0 9404 4938 3674 3226 2222 828 30 8 1272 2006 0
3024 1946 11668 9286 8044 6596 4532 1822 1206 30 4998 0 0 0 4502
50 9134 7304 5698 3784 2322 1726 1854 2332 1890 633 0 0 0 7488 3900 2560 1664 948 738 1114 1742 666 0 0 0 0 7378 3794 2654 2408 2048 1286 384 10 2 1202 1270
0 3694 8938 6988 5772 4872 3982 2708 870 576 10 4104 0 0 0
51 42745 33688 26778 20172 15327 11950 8906 5868 3543 2239 1842 1840 3044 35313 18197 12173 9568 7633 5883 4179 2644 1679 641 4 2 4330 35573 18485 12636 9739 6933 4611 3377 3170 3341 2538 1138
2 0 43455 34488 27828 20683 14542 10090 7322 5997 6335 5949 5641 0 0
Sum of all rows = 4(3*0 + 2*2 + 1*4 + 1*641 + 1*1138 + 1*1679 + 1*1840 + 1*1842 + 1*2239 + 1*2538 + 1*2644 + 1*3044 + 1*3170 + 1*3341 + 1*3377 + 1*3543 + 1*4179 + 1*4330 + 1*4611 + 1*5641 + 1*5868 + 1*5883 +
1*5949 + 1*5997 + 1*6335 + 1*6933 + 1*7322 + 1*7633 + 1*8906 + 1*9568 + 1*9739 + 1*10090 + 1*11950 + 1*12173 + 1*12636 + 1*14542 + 1*15327 + 1*18197 + 1*18485 + 1*20172 + 1*20683 + 1*26778 +
1*27828 + 1*33688 + 1*34488 + 1*35313 + 1*35573 + 1*42745 + 1*43455) +
4(11*0 + 1*2 + 2*10 + 1*384 + 1*576 + 1*633 + 1*666 + 1*738 + 1*870 + 1*948 + 1*1114 + 1*1202 + 1*1270 + 1*1286 + 1*1664 + 1*1726 + 1*1742 + 1*1854 + 1*1890 + 1*2048 + 1*2322 + 1*2332 + 1*2408 +
1*2560 + 1*2654 + 1*2708 + 1*3694 + 1*3784 + 1*3794 + 1*3900 + 1*3982 + 1*4104 + 1*4872 + 1*5698 + 1*5772 + 1*6988 + 1*7304 + 1*7378 + 1*7488 + 1*8938 + 1*9134) +
4(13*0 + 1*8 + 2*30 + 1*828 + 1*1206 + 1*1272 + 1*1328 + 1*1354 + 1*1392 + 1*1758 + 1*1822 + 1*1892 + 1*1946 + 1*2006 + 1*2222 + 1*2738 + 1*2850 + 1*2980 + 1*3024 + 1*3056 + 1*3226 + 1*3528 +
1*3674 + 1*3798 + 1*4148 + 1*4502 + 1*4532 + 1*4692 + 1*4938 + 1*4998 + 1*6386 + 1*6596 + 1*8044 + 1*8628 + 1*9202 + 1*9286 + 1*9404 + 1*10948 + 1*11668) +
4(12*0 + 1*20 + 2*66 + 1*633 + 4*1026 + 1*1132 + 1*1168 + 1*1606 + 1*1728 + 1*1820 + 1*1903 + 1*2108 + 1*2162 + 1*2298 + 1*2302 + 1*2426 + 1*2582 + 1*3188 + 1*3396 + 1*3452 + 1*3644 + 1*3746 +
1*3978 + 1*4412 + 1*4416 + 1*4610 + 1*5132 + 1*5148 + 1*5266 + 1*5452 + 1*7130 + 1*7636 + 1*8014 + 1*8580 + 1*8894 + 1*9300 + 1*10900) +
4(12*0 + 1*40 + 2*130 + 1*540 + 1*1080 + 1*1216 + 1*1220 + 1*1328 + 1*1356 + 1*1770 + 2*1788 + 1*1920 + 1*1950 + 1*2040 + 1*2042 + 1*2160 + 2*2328 + 1*2340 + 1*2450 + 1*2610 + 1*2634 + 1*2868 +
1*3050 + 1*3290 + 1*3610 + 1*3960 + 1*4200 + 1*4570 + 1*4586 + 2*5420 + 1*5442 + 1*5776 + 1*6190 + 1*6710 + 1*6980 + 1*7250 + 1*8500) +
4(12*0 + 1*76 + 2*252 + 1*282 + 2*938 + 1*1264 + 1*1352 + 1*1410 + 1*1578 + 1*1784 + 1*1848 + 1*1900 + 1*1903 + 1*2066 + 1*2092 + 1*2158 + 1*2178 + 1*2209 + 1*2220 + 1*2440 + 1*2524 + 1*2532 +
1*2548 + 1*3100 + 1*3378 + 1*4364 + 1*4544 + 1*4598 + 1*4644 + 1*4692 + 1*4792 + 1*4896 + 1*4920 + 1*5750 + 1*5780 + 1*5906 + 1*6180 + 1*4316 + 1*4098) +
2(12*0 + 2*146 + 4*488 + 2*1514 + 2*1560 + 2*1752 + 2*1802 + 2*2160 + 2*2196 + 2*2240 + 2*2390 + 2*2586 + 2*3412 + 2*3462 + 2*4146 + 2*4634 + 2*4674 + 2*4976 + 2*5610 + 2*5886) +
4(48*0 + 1*635 + 1*2281 + 1*3126 + 1*3694) +
4(50*0 + 1*1078 + 1*1646) +
4(10*0 + 3*2 + 1*6 + 1*192 + 1*214 + 1*356 + 1*362 + 1*536 + 1*566 + 1*596 + 1*622 + 1*668 + 1*706 + 1*708 + 1*730 + 1*784 + 2*868 + 1*960 + 1*976 + 1*1136 + 1*1228 + 1*1268 + 1*1280 + 1*1290 +
1*1378 + 1*1424 + 1*1516 + 1*1558 + 1*1684 + 2*1736 + 1*2048 + 1*2128 + 1*2698 + 1*2844 + 1*3078 + 2*3188 + 1*3648 + 1*3974) +
4(10*0 + 3*8 + 1*24 + 1*424 + 4*458 + 1*488 + 1*760 + 1*784 + 1*1136 + 1*1176 + 1*1240 + 1*1352 + 2*1374 + 1*1400 + 1*1480 + 1*1500 + 1*1536 + 1*1544 + 1*1664 + 1*1832 + 1*1888 + 1*1998 +
1*2290 + 1*2400 + 1*2704 + 1*2760 + 1*2800 + 1*2904 + 1*2960 + 1*3320 + 1*4200 + 1*4320 + 1*4792 + 1*5072 + 1*5168 + 1*5648 + 1*6360) +
4(10*0 + 3*18 + 1*54 + 3*240 + 1*540 + 1*630 + 2*720 + 1*936 + 1*990 + 1*1200 + 1*1368 + 1*1386 + 1*1404 + 5*1440 + 1*1656 + 1*1674 + 1*1692 + 1*1818 + 1*1872 + 1*1896 + 1*2088 + 1*2160 +
1*2214 + 1*2304 + 1*3150 + 2*3492 + 1*3510 + 1*4032 + 2*4320 + 1*4428 + 1*5256 + 1*5382) +
4(10*0 + 3*34 + 1*102 + 3*124 + 1*372 + 1*578 + 1*714 + 1*868 + 1*986 + 1*1088 + 3*1116 + 1*1240 + 1*1360 + 1*1394 + 1*1488 + 1*1530 + 2*1612 + 1*1632 + 3*1666 + 1*1860 + 1*1870 + 1*1984 +
1*2002 + 1*2050 + 1*2480 + 1*2604 + 1*2686 + 1*3128 + 1*3400 + 1*3468 + 1*3502 + 1*3502 + 1*3536 + 1*4386) +
2(10*0 + 6*64 + 2*192 + 2*640 + 2*960 + 2*1024 + 2*1216 + 2*1280 + 4*1344 + 2*1536 + 2*1600 + 2*1664 + 2*2016 + 2*2176 + 2*2240 + 2*2688 + 2*3136 + 2*3200 + 2*3584)
= 2256244 + 489788 + 623760 + 577672 + 500040 + 458808 + 224488 + 38944 + 10896 + 219008 + 338112 + 314712 + 271416 + 128128
= 6452016
Value repetition frequencies = 4(47*1 + 1*2 + 1*3) +
4(39*1 + 1*2 + 1*11) +
4(37*1 + 1*2 + 1*13) +
4(34*1 + 1*2 + 1*4 + 1*12) +
4(32*1 + 4*2 + 1*12) +
4(36*1 + 2*2 + 1*12) +
2(18*2 + 1*4 + 1*12) +
4(4*1 + 1*48) +
4(2*1 + 1*50) +
4(33*1 + 3*2 + 1*3 + 1*10) +
4(33*1 + 1*2 + 1*3 + 1*4 + 1*10) +
4(30*1 + 3*2 + 2*3 + 1*10) +
4(28*1 + 1*2 + 4*3 + 1*10) +
2(16*2 + 1*4 + 1*6 + 1*10)
= 2704
Number of distinct row element sets = 14
Number of rows = 2*2 + 12*4
= 52
Number of distinct values = 386
Distinct values 0 2 4 6 8 10 18 20 24 30 34 40 54 64 66 76 102 124 130 146
Frequency 848 24 4 4 16 8 12 4 4 8 12 4 4 12 8 4 4 12 8 4
Distinct values 192 214 240 252 282 356 362 372 384 424 458 488 536 540 566 576 578 596 622 630
Frequency 8 4 12 8 4 4 4 4 4 4 16 12 4 8 4 4 4 4 4 4
Distinct values 633 635 640 641 666 668 706 708 714 720 730 738 760 784 828 868 870 936 938 948
Frequency 8 4 4 4 4 4 4 4 4 8 4 4 4 8 4 12 4 4 8 4
Distinct values 960 976 986 990 1024 1026 1078 1080 1088 1114 1116 1132 1136 1138 1168 1176 1200 1202 1206 1216
Frequency 8 4 4 4 4 16 4 4 4 4 12 4 8 4 4 4 4 4 4 8
Distinct values 1220 1228 1240 1264 1268 1270 1272 1280 1286 1290 1328 1344 1352 1354 1356 1360 1368 1374 1378 1386
Frequency 4 4 8 4 4 4 4 8 4 4 8 8 8 4 4 4 4 8 4 4
Distinct values 1392 1394 1400 1404 1410 1424 1440 1480 1488 1500 1514 1516 1530 1536 1544 1558 1560 1578 1600 1606
Frequency 4 4 4 4 4 4 20 4 4 4 4 4 4 8 4 4 4 4 4 4
Distinct values 1612 1632 1646 1656 1664 1666 1674 1679 1684 1692 1726 1728 1736 1742 1752 1758 1770 1784 1788 1802
Frequency 8 4 4 4 12 12 4 4 4 4 4 4 8 4 4 4 4 4 8 4
Distinct values 1818 1820 1822 1832 1840 1842 1848 1854 1860 1870 1872 1888 1890 1892 1896 1900 1903 1920 1946 1950
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4
Distinct values 1984 1998 2002 2006 2016 2040 2042 2048 2050 2066 2088 2092 2108 2128 2158 2160 2162 2176 2178 2196
Frequency 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 12 4 4 4 4
Distinct values 2209 2214 2220 2222 2239 2240 2281 2290 2298 2302 2304 2322 2328 2332 2340 2390 2400 2408 2426 2440
Frequency 4 4 4 4 4 8 4 4 4 4 4 4 8 4 4 4 4 4 4 4
Distinct values 2450 2480 2524 2532 2538 2548 2560 2582 2586 2604 2610 2634 2644 2654 2686 2688 2698 2704 2708 2738
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 2760 2800 2844 2850 2868 2904 2960 2980 3024 3044 3050 3056 3078 3100 3126 3128 3136 3150 3170 3188
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 12
Distinct values 3200 3226 3290 3320 3341 3377 3378 3396 3400 3412 3452 3462 3468 3492 3502 3510 3528 3536 3543 3584
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 8 8 4 4 4 4 4
Distinct values 3610 3644 3648 3674 3694 3746 3784 3794 3798 3900 3960 3974 3978 3982 4032 4098 4104 4146 4148 4179
Frequency 4 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 4200 4316 4320 4330 4364 4386 4412 4416 4428 4502 4532 4544 4570 4586 4598 4610 4611 4634 4644 4674
Frequency 8 4 12 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 4692 4792 4872 4896 4920 4938 4976 4998 5072 5132 5148 5168 5256 5266 5382 5420 5442 5452 5610 5641
Frequency 8 8 4 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4 4
Distinct values 5648 5698 5750 5772 5776 5780 5868 5883 5886 5906 5949 5997 6180 6190 6335 6360 6386 6596 6710 6933
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 6980 6988 7130 7250 7304 7322 7378 7488 7633 7636 8014 8044 8500 8580 8628 8894 8906 8938 9134 9202
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 9286 9300 9404 9568 9739 10090 10900 10948 11668 11950 12173 12636 14542 15327 18197 18485 20172 20683 26778 27828
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 33688 34488 35313 35573 42745 43455
Frequency 4 4 4 4 4 4
Sum of distinct value frequencies = 332*4 + 35*8 + 13*12 + 3*16 + 1*20 + 1*24 + 1*848
= 2704
Number of SN-EN pairs for which the number of CNSAPs is greater than zero = 4*2 + 4*4 + 4*39 + 14*40 + 4*41 + 18*42 + 4*49
= 1856
Number of SN-EN pairs, with SN != EN, for which the number of CNSAPs equals zero = 796
Number of possible SN-EN pairs with SN != EN = 51*52
= 2652
a = 14, b = 4
L C
3 8
4 16
5 40
6 80
7 188
8 272
9 636
10 976
11 2656
12 3780
13 9004
14 13236
15 27816
16 43992
17 83616
18 136532
19 239372
20 367392
21 563024
22 759792
23 1021992
24 1187768
25 1436112
26 1540684
27 1665848
28 1524040
29 1543772
30 1234288
31 1186964
32 777644
33 737828
34 322208
35 302144
36 73168
37 15056
38 1136
Total 16823080
Number of times each node is the start 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
L
3 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 2 0
0 2 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
4 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 2 0 0 0 0 0 0 0 0 2 2 0
0 2 2 0 0 0 0 0 0 0 0 2 2 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 0 2 1 0 0 0 0 0 0 0 0 1 2 0
1 0 4 2 0 0 0 0 0 0 2 4 0 1
1 0 4 2 0 0 0 0 0 0 2 4 0 1
0 2 1 0 0 0 0 0 0 0 0 1 2 0
6 3 0 6 3 0 0 0 0 0 0 3 6 0 3
0 0 0 6 2 0 0 0 0 2 6 0 0 0
0 0 0 6 2 0 0 0 0 2 6 0 0 0
3 0 6 3 0 0 0 0 0 0 3 6 0 3
7 0 3 1 12 5 0 0 0 0 5 12 1 3 0
2 2 2 4 10 4 2 2 4 10 4 2 2 2
2 2 2 4 10 4 2 2 4 10 4 2 2 2
0 3 1 12 5 0 0 0 0 5 12 1 3 0
8 3 1 2 3 20 7 0 0 7 20 3 2 1 3
1 1 1 4 9 12 4 4 12 9 4 1 1 1
1 1 1 4 9 12 4 4 12 9 4 1 1 1
3 1 2 3 20 7 0 0 7 20 3 2 1 3
9 4 6 5 6 13 34 13 13 34 13 6 5 6 4
6 4 4 7 15 22 20 20 22 15 7 4 4 6
6 4 4 7 15 22 20 20 22 15 7 4 4 6
4 6 5 6 13 34 13 13 34 13 6 5 6 4
10 6 4 5 10 9 27 59 59 27 9 10 5 4 6
4 4 4 6 18 37 51 51 37 18 6 4 4 4
4 4 4 6 18 37 51 51 37 18 6 4 4 4
6 4 5 10 9 27 59 59 27 9 10 5 4 6
11 19 24 26 29 47 57 130 130 57 47 29 26 24 19
20 18 17 28 32 79 138 138 79 32 28 17 18 20
20 18 17 28 32 79 138 138 79 32 28 17 18 20
19 24 26 29 47 57 130 130 57 47 29 26 24 19
12 21 20 23 36 54 156 156 156 156 54 36 23 20 21
18 18 18 21 55 110 239 239 110 55 21 18 18 18
18 18 18 21 55 110 239 239 110 55 21 18 18 18
21 20 23 36 54 156 156 156 156 54 36 23 20 21
13 50 73 84 110 223 265 355 355 265 223 110 84 73 50
62 60 59 85 179 323 323 323 323 179 85 59 60 62
62 60 59 85 179 323 323 323 323 179 85 59 60 62
50 73 84 110 223 265 355 355 265 223 110 84 73 50
14 73 69 98 216 301 413 463 463 413 301 216 98 69 73
80 83 107 205 421 488 292 292 488 421 205 107 83 80
80 83 107 205 421 488 292 292 488 421 205 107 83 80
73 69 98 216 301 413 463 463 413 301 216 98 69 73
15 150 212 360 550 804 926 613 613 926 804 550 360 212 150
197 222 345 701 867 568 439 439 568 867 701 345 222 197
197 222 345 701 867 568 439 439 568 867 701 345 222 197
150 212 360 550 804 926 613 613 926 804 550 360 212 150
16 289 428 715 1183 1440 851 670 670 851 1440 1183 715 428 289
320 491 1019 1437 1055 629 471 471 629 1055 1437 1019 491 320
320 491 1019 1437 1055 629 471 471 629 1055 1437 1019 491 320
289 428 715 1183 1440 851 670 670 851 1440 1183 715 428 289
17 695 1187 2039 2746 1856 1217 1225 1225 1217 1856 2746 2039 1187 695
827 1579 2413 2163 1465 921 571 571 921 1465 2163 2413 1579 827
827 1579 2413 2163 1465 921 571 571 921 1465 2163 2413 1579 827
695 1187 2039 2746 1856 1217 1225 1225 1217 1856 2746 2039 1187 695
18 1715 3153 4557 3304 1952 1744 1216 1216 1744 1952 3304 4557 3153 1715
2265 3798 4003 3088 1918 875 545 545 875 1918 3088 4003 3798 2265
2265 3798 4003 3088 1918 875 545 545 875 1918 3088 4003 3798 2265
1715 3153 4557 3304 1952 1744 1216 1216 1744 1952 3304 4557 3153 1715
19 4923 7778 6530 4321 3785 2422 1989 1989 2422 3785 4321 6530 7778 4923
6031 7348 6492 4268 1982 1272 702 702 1272 1982 4268 6492 7348 6031
6031 7348 6492 4268 1982 1272 702 702 1272 1982 4268 6492 7348 6031
4923 7778 6530 4321 3785 2422 1989 1989 2422 3785 4321 6530 7778 4923
20 12329 11939 8695 7136 3970 2823 1964 1964 2823 3970 7136 8695 11939 12329
12559 12738 9019 4241 2507 1193 735 735 1193 2507 4241 9019 12738 12559
12559 12738 9019 4241 2507 1193 735 735 1193 2507 4241 9019 12738 12559
12329 11939 8695 7136 3970 2823 1964 1964 2823 3970 7136 8695 11939 12329
21 21102 17949 15009 8697 6149 4048 3527 3527 4048 6149 8697 15009 17949 21102
24027 19070 9812 5581 2903 1628 1254 1254 1628 2903 5581 9812 19070 24027
24027 19070 9812 5581 2903 1628 1254 1254 1628 2903 5581 9812 19070 24027
21102 17949 15009 8697 6149 4048 3527 3527 4048 6149 8697 15009 17949 21102
22 33118 29711 17510 11300 6800 4706 3400 3400 4706 6800 11300 17510 29711 33118
37444 21589 12002 6314 2916 1642 1496 1496 1642 2916 6314 12002 21589 37444
37444 21589 12002 6314 2916 1642 1496 1496 1642 2916 6314 12002 21589 37444
33118 29711 17510 11300 6800 4706 3400 3400 4706 6800 11300 17510 29711 33118
23 54525 35500 23220 15626 10470 7064 6230 6230 7064 10470 15626 23220 35500 54525
45194 26822 14851 6925 3710 2979 2382 2382 2979 3710 6925 14851 26822 45194
45194 26822 14851 6925 3710 2979 2382 2382 2979 3710 6925 14851 26822 45194
54525 35500 23220 15626 10470 7064 6230 6230 7064 10470 15626 23220 35500 54525
24 61214 42066 30623 19208 11552 8143 5741 5741 8143 11552 19208 30623 42066 61214
53902 31924 14862 7328 4547 2982 2850 2850 2982 4547 7328 14862 31924 53902
53902 31924 14862 7328 4547 2982 2850 2850 2982 4547 7328 14862 31924 53902
61214 42066 30623 19208 11552 8143 5741 5741 8143 11552 19208 30623 42066 61214
25 63174 55230 37209 24707 17677 12083 10442 10442 12083 17677 24707 37209 55230 63174
65875 31176 16098 9359 6346 5358 4294 4294 5358 6346 9359 16098 31176 65875
65875 31176 16098 9359 6346 5358 4294 4294 5358 6346 9359 16098 31176 65875
63174 55230 37209 24707 17677 12083 10442 10442 12083 17677 24707 37209 55230 63174
26 83366 52970 40082 28386 18549 13419 9690 9690 13419 18549 28386 40082 52970 83366
63403 31143 15641 9917 8091 5506 5008 5008 5506 8091 9917 15641 31143 63403
63403 31143 15641 9917 8091 5506 5008 5008 5506 8091 9917 15641 31143 63403
83366 52970 40082 28386 18549 13419 9690 9690 13419 18549 28386 40082 52970 83366
27 79399 57671 39790 33503 26043 18732 16534 16534 18732 26043 33503 39790 57671 79399
62036 27999 15635 13399 9620 9029 7072 7072 9029 9620 13399 15635 27999 62036
62036 27999 15635 13399 9620 9029 7072 7072 9029 9620 13399 15635 27999 62036
79399 57671 39790 33503 26043 18732 16534 16534 18732 26043 33503 39790 57671 79399
28 67225 51900 43311 29243 22962 19283 15050 15050 19283 22962 29243 43311 51900 67225
57436 20770 13360 12602 12189 7944 7735 7735 7944 12189 12602 13360 20770 57436
57436 20770 13360 12602 12189 7944 7735 7735 7944 12189 12602 13360 20770 57436
67225 51900 43311 29243 22962 19283 15050 15050 19283 22962 29243 43311 51900 67225
29 63739 45400 42016 35717 28100 23096 22646 22646 23096 28100 35717 42016 45400 63739
44992 19002 14981 12447 12435 12288 9084 9084 12288 12435 12447 14981 19002 44992
44992 19002 14981 12447 12435 12288 9084 9084 12288 12435 12447 14981 19002 44992
63739 45400 42016 35717 28100 23096 22646 22646 23096 28100 35717 42016 45400 63739
30 47953 40134 32642 29366 22954 20265 17144 17144 20265 22954 29366 32642 40134 47953
30635 12628 11130 14006 11409 9430 8876 8876 9430 11409 14006 11130 12628 30635
30635 12628 11130 14006 11409 9430 8876 8876 9430 11409 14006 11130 12628 30635
47953 40134 32642 29366 22954 20265 17144 17144 20265 22954 29366 32642 40134 47953
31 33375 33698 33951 28698 28115 23962 22344 22344 23962 28115 28698 33951 33698 33375
24304 10092 10296 13735 13292 10982 9897 9897 10982 13292 13735 10296 10092 24304
24304 10092 10296 13735 13292 10982 9897 9897 10982 13292 13735 10296 10092 24304
33375 33698 33951 28698 28115 23962 22344 22344 23962 28115 28698 33951 33698 33375
32 23196 18918 21557 20910 15880 14443 16392 16392 14443 15880 20910 21557 18918 23196
13758 3836 8317 9973 11661 8702 6868 6868 8702 11661 9973 8317 3836 13758
13758 3836 8317 9973 11661 8702 6868 6868 8702 11661 9973 8317 3836 13758
23196 18918 21557 20910 15880 14443 16392 16392 14443 15880 20910 21557 18918 23196
33 15956 17672 19289 17795 17613 18510 18805 18805 18510 17613 17795 19289 17672 15956
11511 5385 6535 10216 8358 8338 8474 8474 8338 8358 10216 6535 5385 11511
11511 5385 6535 10216 8358 8338 8474 8474 8338 8358 10216 6535 5385 11511
15956 17672 19289 17795 17613 18510 18805 18805 18510 17613 17795 19289 17672 15956
34 7995 7794 6858 6672 5983 8496 9848 9848 8496 5983 6672 6858 7794 7995
2818 1012 3904 5162 4536 4428 5046 5046 4428 4536 5162 3904 1012 2818
2818 1012 3904 5162 4536 4428 5046 5046 4428 4536 5162 3904 1012 2818
7995 7794 6858 6672 5983 8496 9848 9848 8496 5983 6672 6858 7794 7995
35 5233 7390 9035 6636 5700 7492 10676 10676 7492 5700 6636 9035 7390 5233
5184 1552 2848 3558 3326 3454 3452 3452 3454 3326 3558 2848 1552 5184
5184 1552 2848 3558 3326 3454 3452 3452 3454 3326 3558 2848 1552 5184
5233 7390 9035 6636 5700 7492 10676 10676 7492 5700 6636 9035 7390 5233
36 1592 904 1018 1310 2086 2392 1854 1854 2392 2086 1310 1018 904 1592
54 54 1662 1436 822 1068 2040 2040 1068 822 1436 1662 54 54
54 54 1662 1436 822 1068 2040 2040 1068 822 1436 1662 54 54
1592 904 1018 1310 2086 2392 1854 1854 2392 2086 1310 1018 904 1592
37 260 478 296 114 530 536 256 256 536 530 114 296 478 260
242 46 238 220 162 186 200 200 186 162 220 238 46 242
242 46 238 220 162 186 200 200 186 162 220 238 46 242
260 478 296 114 530 536 256 256 536 530 114 296 478 260
38 8 18 46 16 40 60 28 28 60 40 16 46 18 8
0 0 20 0 18 30 0 0 30 18 0 20 0 0
0 0 20 0 18 30 0 0 30 18 0 20 0 0
8 18 46 16 40 60 28 28 60 40 16 46 18 8
Total 682710 540302 436609 337569 261682 217672 199460 199460 217672 261682 337569 436609 540302 682710
565208 290470 195701 158444 126876 102507 90560 90560 102507 126876 158444 195701 290470 565208
565208 290470 195701 158444 126876 102507 90560 90560 102507 126876 158444 195701 290470 565208
682710 540302 436609 337569 261682 217672 199460 199460 217672 261682 337569 436609 540302 682710
Grand total = 4*90560 + 4*102507 + 4*126876 + 4*158444 + 4*195701 + 4*199460 + 4*217672 + 4*261682 + 4*290470 + 4*337569 + 4*436609 + 4*540302 + 4*565208 + 4*682710
= 16823080
Number of times each node is the end 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
L
3 2 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 0 0 0
2 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 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 0 0
4 0 0 0 0 0 0 0 0 0 0 0 0 4
5 10 0 0 0 0 0 0 0 0 0 0 0 0 10
0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0
10 0 0 0 0 0 0 0 0 0 0 0 0 10
6 20 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
20 0 0 0 0 0 0 0 0 0 0 0 0 20
7 33 2 2 2 2 2 2 2 2 2 2 2 2 33
2 0 0 0 0 0 0 0 0 0 0 0 0 2
2 0 0 0 0 0 0 0 0 0 0 0 0 2
33 2 2 2 2 2 2 2 2 2 2 2 2 33
8 56 1 2 2 2 2 2 2 2 2 2 2 1 56
1 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 1
56 1 2 2 2 2 2 2 2 2 2 2 1 56
9 99 6 9 10 10 10 10 10 10 10 10 9 6 99
5 0 0 0 0 0 0 0 0 0 0 0 0 5
5 0 0 0 0 0 0 0 0 0 0 0 0 5
99 6 9 10 10 10 10 10 10 10 10 9 6 99
10 173 6 9 13 14 14 14 14 14 14 13 9 6 173
1 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 1
173 6 9 13 14 14 14 14 14 14 13 9 6 173
11 331 24 42 47 53 54 54 54 54 53 47 42 24 331
15 4 8 8 8 8 8 8 8 8 8 8 4 15
15 4 8 8 8 8 8 8 8 8 8 8 4 15
331 24 42 47 53 54 54 54 54 53 47 42 24 331
12 606 24 40 54 61 69 70 70 69 61 54 40 24 606
1 0 4 4 4 4 4 4 4 4 4 4 0 1
1 0 4 4 4 4 4 4 4 4 4 4 0 1
606 24 40 54 61 69 70 70 69 61 54 40 24 606
13 1155 66 114 152 173 187 197 197 187 173 152 114 66 1155
29 10 24 36 36 36 36 36 36 36 36 24 10 29
29 10 24 36 36 36 36 36 36 36 36 24 10 29
1155 66 114 152 173 187 197 197 187 173 152 114 66 1155
14 2100 71 125 168 193 223 246 246 223 193 168 125 71 2100
1 0 24 38 40 40 40 40 40 40 38 24 0 1
1 0 24 38 40 40 40 40 40 40 38 24 0 1
2100 71 125 168 193 223 246 246 223 193 168 125 71 2100
15 3861 183 301 387 486 540 577 577 540 486 387 301 183 3861
47 16 60 102 130 132 132 132 132 130 102 60 16 47
47 16 60 102 130 132 132 132 132 130 102 60 16 47
3861 183 301 387 486 540 577 577 540 486 387 301 183 3861
16 6958 267 412 533 621 699 747 747 699 621 533 412 267 6958
3 0 66 136 174 190 192 192 190 174 136 66 0 3
3 0 66 136 174 190 192 192 190 174 136 66 0 3
6958 267 412 533 621 699 747 747 699 621 533 412 267 6958
17 12592 567 876 1073 1260 1406 1439 1439 1406 1260 1073 876 567 12592
71 22 128 264 350 418 438 438 418 350 264 128 22 71
71 22 128 264 350 418 438 438 418 350 264 128 22 71
12592 567 876 1073 1260 1406 1439 1439 1406 1260 1073 876 567 12592
18 22351 933 1407 1681 1808 1837 1819 1819 1837 1808 1681 1407 933 22351
7 0 166 350 506 600 668 668 600 506 350 166 0 7
7 0 166 350 506 600 668 668 600 506 350 166 0 7
22351 933 1407 1681 1808 1837 1819 1819 1837 1808 1681 1407 933 22351
19 38406 1785 2730 3120 3222 3130 3057 3057 3130 3222 3120 2730 1785 38406
115 32 324 646 902 1118 1256 1256 1118 902 646 324 32 115
115 32 324 646 902 1118 1256 1256 1118 902 646 324 32 115
38406 1785 2730 3120 3222 3130 3057 3057 3130 3222 3120 2730 1785 38406
20 61166 3010 4486 4861 4482 3978 3614 3614 3978 4482 4861 4486 3010 61166
13 0 498 970 1344 1628 1798 1798 1628 1344 970 498 0 13
13 0 498 970 1344 1628 1798 1798 1628 1344 970 498 0 13
61166 3010 4486 4861 4482 3978 3614 3614 3978 4482 4861 4486 3010 61166
21 88706 5459 7885 8077 7273 6260 5713 5713 6260 7273 8077 7885 5459 88706
203 56 1000 1876 2426 2822 3000 3000 2822 2426 1876 1000 56 203
203 56 1000 1876 2426 2822 3000 3000 2822 2426 1876 1000 56 203
88706 5459 7885 8077 7273 6260 5713 5713 6260 7273 8077 7885 5459 88706
22 117798 8803 11935 11656 9559 7549 6379 6379 7549 9559 11656 11935 8803 117798
21 0 1658 3076 3740 3912 3862 3862 3912 3740 3076 1658 0 21
21 0 1658 3076 3740 3912 3862 3862 3912 3740 3076 1658 0 21
117798 8803 11935 11656 9559 7549 6379 6379 7549 9559 11656 11935 8803 117798
23 142299 14000 18574 17506 14377 11366 9693 9693 11366 14377 17506 18574 14000 142299
367 106 3132 5684 6414 6176 5804 5804 6176 6414 5684 3132 106 367
367 106 3132 5684 6414 6176 5804 5804 6176 6414 5684 3132 106 367
142299 14000 18574 17506 14377 11366 9693 9693 11366 14377 17506 18574 14000 142299
24 151196 19629 25079 22764 17526 12792 10321 10321 12792 17526 22764 25079 19629 151196
33 0 5066 8856 9140 7756 6784 6784 7756 9140 8856 5066 0 33
33 0 5066 8856 9140 7756 6784 6784 7756 9140 8856 5066 0 33
151196 19629 25079 22764 17526 12792 10321 10321 12792 17526 22764 25079 19629 151196
25 154213 26512 33627 30431 23924 18377 15137 15137 18377 23924 30431 33627 26512 154213
649 194 8234 13766 13462 11154 9348 9348 11154 13462 13766 8234 194 649
649 194 8234 13766 13462 11154 9348 9348 11154 13462 13766 8234 194 649
154213 26512 33627 30431 23924 18377 15137 15137 18377 23924 30431 33627 26512 154213
26 152777 30635 38565 33858 25992 19300 15639 15639 19300 25992 33858 38565 30635 152777
55 0 11000 17736 16748 12710 10156 10156 12710 16748 17736 11000 0 55
55 0 11000 17736 16748 12710 10156 10156 12710 16748 17736 11000 0 55
152777 30635 38565 33858 25992 19300 15639 15639 19300 25992 33858 38565 30635 152777
27 132386 34799 43063 39347 31834 25456 21898 21898 25456 31834 39347 43063 34799 132386
1117 336 13556 22434 20800 16362 13074 13074 16362 20800 22434 13556 336 1117
1117 336 13556 22434 20800 16362 13074 13074 16362 20800 22434 13556 336 1117
132386 34799 43063 39347 31834 25456 21898 21898 25456 31834 39347 43063 34799 132386
28 105919 32914 41914 36482 29217 23918 21315 21315 23918 29217 36482 41914 32914 105919
97 0 14778 23216 21614 16504 13122 13122 16504 21614 23216 14778 0 97
97 0 14778 23216 21614 16504 13122 13122 16504 21614 23216 14778 0 97
105919 32914 41914 36482 29217 23918 21315 21315 23918 29217 36482 41914 32914 105919
29 84882 31994 41832 39216 31596 28480 27326 27326 28480 31596 39216 41832 31994 84882
1903 566 16648 24684 22622 18632 15562 15562 18632 22622 24684 16648 566 1903
1903 566 16648 24684 22622 18632 15562 15562 18632 22622 24684 16648 566 1903
84882 31994 41832 39216 31596 28480 27326 27326 28480 31596 39216 41832 31994 84882
30 59207 27700 32482 30737 25676 22272 23347 23347 22272 25676 30737 32482 27700 59207
173 0 14216 23486 19742 15622 13912 13912 15622 19742 23486 14216 0 173
173 0 14216 23486 19742 15622 13912 13912 15622 19742 23486 14216 0 173
59207 27700 32482 30737 25676 22272 23347 23347 22272 25676 30737 32482 27700 59207
31 41210 24684 32840 29043 26467 26009 26491 26491 26009 26467 29043 32840 24684 41210
3257 958 13870 21558 19898 15586 14870 14870 15586 19898 21558 13870 958 3257
3257 958 13870 21558 19898 15586 14870 14870 15586 19898 21558 13870 958 3257
41210 24684 32840 29043 26467 26009 26491 26491 26009 26467 29043 32840 24684 41210
32 25696 15407 20009 19247 16264 16209 18261 18261 16209 16264 19247 20009 15407 25696
302 0 11106 15922 13912 11254 10822 10822 11254 13912 15922 11106 0 302
302 0 11106 15922 13912 11254 10822 10822 11254 13912 15922 11106 0 302
25696 15407 20009 19247 16264 16209 18261 18261 16209 16264 19247 20009 15407 25696
33 17844 15490 18758 16736 15984 18618 19015 19015 18618 15984 16736 18758 15490 17844
5242 1580 9472 13926 10820 9992 10980 10980 9992 10820 13926 9472 1580 5242
5242 1580 9472 13926 10820 9992 10980 10980 9992 10820 13926 9472 1580 5242
17844 15490 18758 16736 15984 18618 19015 19015 18618 15984 16736 18758 15490 17844
34 7540 6236 6809 6450 6943 8494 9142 9142 8494 6943 6450 6809 6236 7540
410 0 5360 6730 5172 5300 5966 5966 5300 5172 6730 5360 0 410
410 0 5360 6730 5172 5300 5966 5966 5300 5172 6730 5360 0 410
7540 6236 6809 6450 6943 8494 9142 9142 8494 6943 6450 6809 6236 7540
35 5979 6984 7511 5820 6564 7692 8720 8720 7692 6564 5820 7511 6984 5979
4022 1248 4138 4592 3644 3968 4654 4654 3968 3644 4592 4138 1248 4022
4022 1248 4138 4592 3644 3968 4654 4654 3968 3644 4592 4138 1248 4022
5979 6984 7511 5820 6564 7692 8720 8720 7692 6564 5820 7511 6984 5979
36 1356 994 1122 1266 2272 2422 1848 1848 2422 2272 1266 1122 994 1356
86 0 1734 1380 762 1072 1978 1978 1072 762 1380 1734 0 86
86 0 1734 1380 762 1072 1978 1978 1072 762 1380 1734 0 86
1356 994 1122 1266 2272 2422 1848 1848 2422 2272 1266 1122 994 1356
37 250 448 306 130 518 498 260 260 498 518 130 306 448 250
236 46 258 220 180 214 200 200 214 180 220 258 46 236
236 46 258 220 180 214 200 200 214 180 220 258 46 236
250 448 306 130 518 498 260 260 498 518 130 306 448 250
38 8 18 46 16 40 60 28 28 60 40 16 46 18 8
0 0 20 0 18 30 0 0 30 18 0 20 0 0
0 0 20 0 18 30 0 0 30 18 0 20 0 0
8 18 46 16 40 60 28 28 60 40 16 46 18 8
Total 1439189 309651 392912 360885 304413 267923 252381 252381 267923 304413 360885 392912 309651 1439189
18484 5174 136548 211696 194608 163240 148666 148666 163240 194608 211696 136548 5174 18484
18484 5174 136548 211696 194608 163240 148666 148666 163240 194608 211696 136548 5174 18484
1439189 309651 392912 360885 304413 267923 252381 252381 267923 304413 360885 392912 309651 1439189
Grand total = 4*5174 + 4*18484 + 4*136548 + 4*148666 + 4*163240 + 4*194608 + 4*211696 + 4*252381 + 4*267923 + 4*304413 + 4*309651 + 4*360885 + 4*392912 + 4*1439189
= 16823080
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
L
3 2 1 0 0 0 0 0 0 0 0 0 0 1 2
1 2 0 0 0 0 0 0 0 0 0 0 2 1
1 2 0 0 0 0 0 0 0 0 0 0 2 1
2 1 0 0 0 0 0 0 0 0 0 0 1 2
4 4 2 0 0 0 0 0 0 0 0 0 0 2 4
2 6 2 0 0 0 0 0 0 0 0 2 6 2
2 6 2 0 0 0 0 0 0 0 0 2 6 2
4 2 0 0 0 0 0 0 0 0 0 0 2 4
5 10 7 1 0 0 0 0 0 0 0 0 1 7 10
6 15 9 2 0 0 0 0 0 0 2 9 15 6
6 15 9 2 0 0 0 0 0 0 2 9 15 6
10 7 1 0 0 0 0 0 0 0 0 1 7 10
6 23 14 7 3 0 0 0 0 0 0 3 7 14 23
11 29 19 12 2 0 0 0 0 2 12 19 29 11
11 29 19 12 2 0 0 0 0 2 12 19 29 11
23 14 7 3 0 0 0 0 0 0 3 7 14 23
7 35 25 17 19 9 4 4 4 4 9 19 17 25 35
26 51 55 38 24 12 10 10 12 24 38 55 51 26
26 51 55 38 24 12 10 10 12 24 38 55 51 26
35 25 17 19 9 4 4 4 4 9 19 17 25 35
8 61 37 20 27 30 11 4 4 11 30 27 20 37 61
35 81 77 68 51 28 14 14 28 51 68 77 81 35
35 81 77 68 51 28 14 14 28 51 68 77 81 35
61 37 20 27 30 11 4 4 11 30 27 20 37 61
9 117 86 63 73 79 72 41 41 72 79 73 63 86 117
83 160 163 161 143 112 78 78 112 143 161 163 160 83
83 160 163 161 143 112 78 78 112 143 161 163 160 83
117 86 63 73 79 72 41 41 72 79 73 63 86 117
10 189 124 78 114 129 129 113 113 129 129 114 78 124 189
117 269 252 250 258 231 187 187 231 258 250 252 269 117
117 269 252 250 258 231 187 187 231 258 250 252 269 117
189 124 78 114 129 129 113 113 129 129 114 78 124 189
11 421 374 361 454 470 471 508 508 471 470 454 361 374 421
326 606 585 676 669 694 689 689 694 669 676 585 606 326
326 606 585 676 669 694 689 689 694 669 676 585 606 326
421 374 361 454 470 471 508 508 471 470 454 361 374 421
12 679 498 400 573 691 793 831 831 793 691 573 400 498 679
441 1005 931 913 1031 1193 1361 1361 1193 1031 913 931 1005 441
441 1005 931 913 1031 1193 1361 1361 1193 1031 913 931 1005 441
679 498 400 573 691 793 831 831 793 691 573 400 498 679
13 1438 1263 1267 1733 2149 2343 2492 2492 2343 2149 1733 1267 1263 1438
1106 2147 2069 2124 2588 3052 3492 3492 3052 2588 2124 2069 2147 1106
1106 2147 2069 2124 2588 3052 3492 3492 3052 2588 2124 2069 2147 1106
1438 1263 1267 1733 2149 2343 2492 2492 2343 2149 1733 1267 1263 1438
14 2395 1793 1543 2341 3067 3677 4056 4056 3677 3067 2341 1543 1793 2395
1622 3548 3398 3492 4126 5252 6016 6016 5252 4126 3492 3398 3548 1622
1622 3548 3398 3492 4126 5252 6016 6016 5252 4126 3492 3398 3548 1622
2395 1793 1543 2341 3067 3677 4056 4056 3677 3067 2341 1543 1793 2395
15 4699 3982 3958 5821 7662 9153 9561 9561 9153 7662 5821 3958 3982 4699
3538 7171 7151 7940 9541 11619 12514 12514 11619 9541 7940 7151 7171 3538
3538 7171 7151 7940 9541 11619 12514 12514 11619 9541 7940 7151 7171 3538
4699 3982 3958 5821 7662 9153 9561 9561 9153 7662 5821 3958 3982 4699
16 8137 6492 6142 9452 12563 14451 15376 15376 14451 12563 9452 6142 6492 8137
5699 12445 13000 14957 17424 19406 20424 20424 19406 17424 14957 13000 12445 5699
5699 12445 13000 14957 17424 19406 20424 20424 19406 17424 14957 13000 12445 5699
8137 6492 6142 9452 12563 14451 15376 15376 14451 12563 9452 6142 6492 8137
17 15389 13466 14120 20990 25975 29191 31323 31323 29191 25975 20990 14120 13466 15389
11495 24836 27215 31280 34820 36896 38372 38372 36896 34820 31280 27215 24836 11495
11495 24836 27215 31280 34820 36896 38372 38372 36896 34820 31280 27215 24836 11495
15389 13466 14120 20990 25975 29191 31323 31323 29191 25975 20990 14120 13466 15389
18 27394 24653 26271 36272 42925 47455 49692 49692 47455 42925 36272 26271 24653 27394
20539 46457 51495 57091 60651 61802 61697 61697 61802 60651 57091 51495 46457 20539
20539 46457 51495 57091 60651 61802 61697 61697 61802 60651 57091 51495 46457 20539
27394 24653 26271 36272 42925 47455 49692 49692 47455 42925 36272 26271 24653 27394
19 50570 50121 53264 69523 81223 87243 89827 89827 87243 81223 69523 53264 50121 50570
41134 89657 98037 104439 107009 107775 107195 107195 107775 107009 104439 98037 89657 41134
41134 89657 98037 104439 107009 107775 107195 107195 107775 107009 104439 98037 89657 41134
50570 50121 53264 69523 81223 87243 89827 89827 87243 81223 69523 53264 50121 50570
20 86637 87279 91321 116670 129925 133554 132941 132941 133554 129925 116670 91321 87279 86637
73056 155254 164123 167056 167358 166252 165534 165534 166252 167358 167056 164123 155254 73056
73056 155254 164123 167056 167358 166252 165534 165534 166252 167358 167056 164123 155254 73056
86637 87279 91321 116670 129925 133554 132941 132941 133554 129925 116670 91321 87279 86637
21 138476 149019 163998 199936 215373 215342 211279 211279 215342 215373 199936 163998 149019 138476
129467 253901 258044 255884 253261 255381 256515 256515 255381 253261 255884 258044 253901 129467
129467 253901 258044 255884 253261 255381 256515 256515 255381 253261 255884 258044 253901 129467
138476 149019 163998 199936 215373 215342 211279 211279 215342 215373 199936 163998 149019 138476
22 201813 231587 253126 296165 304912 292950 280233 280233 292950 304912 296165 253126 231587 201813
204702 369952 361342 345845 340671 345818 349740 349740 345818 340671 345845 361342 369952 204702
204702 369952 361342 345845 340671 345818 349740 349740 345818 340671 345845 361342 369952 204702
201813 231587 253126 296165 304912 292950 280233 280233 292950 304912 296165 253126 231587 201813
23 290636 350604 388800 436991 438309 415965 398352 398352 415965 438309 436991 388800 350604 290636
309815 508783 482442 460103 460247 466867 468540 468540 466867 460247 460103 482442 508783 309815
309815 508783 482442 460103 460247 466867 468540 468540 466867 460247 460103 482442 508783 309815
290636 350604 388800 436991 438309 415965 398352 398352 415965 438309 436991 388800 350604 290636
24 364475 463031 515072 548582 523349 481233 455396 455396 481233 523349 548582 515072 463031 364475
416139 612888 563413 538005 541468 549361 554196 554196 549361 541468 538005 563413 612888 416139
416139 612888 563413 538005 541468 549361 554196 554196 549361 541468 538005 563413 612888 416139
364475 463031 515072 548582 523349 481233 455396 455396 481233 523349 548582 515072 463031 364475
25 453115 623612 701550 725588 681818 621833 587999 587999 621833 681818 725588 701550 623612 453115
564914 736687 661626 637939 652426 660462 666131 666131 660462 652426 637939 661626 736687 564914
564914 736687 661626 637939 652426 660462 666131 666131 660462 652426 637939 661626 736687 564914
453115 623612 701550 725588 681818 621833 587999 587999 621833 681818 725588 701550 623612 453115
26 546495 748267 828504 824621 748266 670335 628746 628746 670335 748266 824621 828504 748267 546495
692223 815634 700220 674472 695556 715312 725795 725795 715312 695556 674472 700220 815634 692223
692223 815634 700220 674472 695556 715312 725795 725795 715312 695556 674472 700220 815634 692223
546495 748267 828504 824621 748266 670335 628746 628746 670335 748266 824621 828504 748267 546495
27 613918 867993 971884 967338 871715 782215 734553 734553 782215 871715 967338 971884 867993 613918
819620 858991 736713 727979 739461 769724 782370 782370 769724 739461 727979 736713 858991 819620
819620 858991 736713 727979 739461 769724 782370 782370 769724 739461 727979 736713 858991 819620
613918 867993 971884 967338 871715 782215 734553 734553 782215 871715 967338 971884 867993 613918
28 610167 872934 968276 919592 813942 727753 686381 686381 727753 813942 919592 968276 872934 610167
847149 794958 657093 645037 688269 715317 721412 721412 715317 688269 645037 657093 794958 847149
847149 794958 657093 645037 688269 715317 721412 721412 715317 688269 645037 657093 794958 847149
610167 872934 968276 919592 813942 727753 686381 686381 727753 813942 919592 968276 872934 610167
29 633537 931105 1059463 1001540 889784 810403 776846 776846 810403 889784 1001540 1059463 931105 633537
900091 794723 657221 630967 686241 710264 710162 710162 710264 686241 630967 657221 794723 900091
900091 794723 657221 630967 686241 710264 710162 710162 710264 686241 630967 657221 794723 900091
633537 931105 1059463 1001540 889784 810403 776846 776846 810403 889784 1001540 1059463 931105 633537
30 566775 819074 891768 823056 716240 653567 634825 634825 653567 716240 823056 891768 819074 566775
813359 631699 488767 509912 557056 578829 572233 572233 578829 557056 509912 488767 631699 813359
813359 631699 488767 509912 557056 578829 572233 572233 578829 557056 509912 488767 631699 813359
566775 819074 891768 823056 716240 653567 634825 634825 653567 716240 823056 891768 819074 566775
31 548366 826949 914643 844788 753586 698838 682431 682431 698838 753586 844788 914643 826949 548366
813916 613064 446383 471051 517693 530224 537039 537039 530224 517693 471051 446383 613064 813916
813916 613064 446383 471051 517693 530224 537039 537039 530224 517693 471051 446383 613064 813916
548366 826949 914643 844788 753586 698838 682431 682431 698838 753586 844788 914643 826949 548366
32 412581 575600 623448 562437 493820 461548 458565 458565 461548 493820 562437 623448 575600 412581
609521 368469 280519 311993 350896 357486 354269 354269 357486 350896 311993 280519 368469 609521
609521 368469 280519 311993 350896 357486 354269 354269 357486 350896 311993 280519 368469 609521
412581 575600 623448 562437 493820 461548 458565 458565 461548 493820 562437 623448 575600 412581
33 399698 565893 623543 566837 504659 491942 498297 498297 491942 504659 566837 623543 565893 399698
611612 339950 246417 281903 316467 323955 315908 315908 323955 316467 281903 246417 339950 611612
611612 339950 246417 281903 316467 323955 315908 315908 323955 316467 281903 246417 339950 611612
399698 565893 623543 566837 504659 491942 498297 498297 491942 504659 566837 623543 565893 399698
34 196324 259222 277559 242763 219280 220760 226774 226774 220760 219280 242763 277559 259222 196324
290752 129355 111481 132250 145122 145758 141368 141368 145758 145122 132250 111481 129355 290752
290752 129355 111481 132250 145122 145758 141368 141368 145758 145122 132250 111481 129355 290752
196324 259222 277559 242763 219280 220760 226774 226774 220760 219280 242763 277559 259222 196324
35 196721 258587 277682 227950 208424 222906 242280 242280 222906 208424 227950 277682 258587 196721
291902 104427 98217 124318 140920 131044 118382 118382 131044 140920 124318 98217 104427 291902
291902 104427 98217 124318 140920 131044 118382 118382 131044 140920 124318 98217 104427 291902
196721 258587 277682 227950 208424 222906 242280 242280 222906 208424 227950 277682 258587 196721
36 50518 64748 69168 53660 49968 54636 59548 59548 54636 49968 53660 69168 64748 50518
72194 23310 25970 32582 37744 33814 30652 30652 33814 37744 32582 25970 23310 72194
72194 23310 25970 32582 37744 33814 30652 30652 33814 37744 32582 25970 23310 72194
50518 64748 69168 53660 49968 54636 59548 59548 54636 49968 53660 69168 64748 50518
37 10910 14312 14038 9300 12448 13780 11104 11104 13780 12448 9300 14038 14312 10910
14696 4198 6382 7516 7234 6022 7328 7328 6022 7234 7516 6382 4198 14696
14696 4198 6382 7516 7234 6022 7328 7328 6022 7234 7516 6382 4198 14696
10910 14312 14038 9300 12448 13780 11104 11104 13780 12448 9300 14038 14312 10910
38 856 1110 1100 556 936 1136 744 744 1136 936 556 1100 1110 856
1132 284 550 660 616 472 640 640 472 616 660 550 284 1132
1132 284 550 660 616 472 640 640 472 616 660 550 284 1132
856 1110 1100 556 936 1136 744 744 1136 936 556 1100 1110 856
Total 6433581 8813864 9742455 9515765 8753726 8165689 7911122 7911122 8165689 8753726 9515765 9742455 8813864 6433581
8562441 8305012 7151381 7178915 7537043 7710434 7730263 7730263 7710434 7537043 7178915 7151381 8305012 8562441
8562441 8305012 7151381 7178915 7537043 7710434 7730263 7730263 7710434 7537043 7178915 7151381 8305012 8562441
6433581 8813864 9742455 9515765 8753726 8165689 7911122 7911122 8165689 8753726 9515765 9742455 8813864 6433581
Grand total = 4*6433581 + 4*7151381 + 4*7178915 + 4*7537043 + 4*7710434 + 4*7730263 + 4*7911122 + 4*8165689 + 4*8305012 + 4*8562441 + 4*8753726 + 4*8813864 + 4*9515765 + 4*9742455
= 454046764
Number of CNSAPs for each start node (SN) and end 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
EN
0 0 0 10709 11285 12007 11355 13904 19168 27315 38394 52978 70216 86994 109891 0 2 2158 4814 6351 6032 6365 8524 12775 18722 25152 31928 46735 90146 8219 2 4
1210 3184 5029 7914 10957 14119 18291 23842 31067 46429 89889 5771 3488 3490 4238 6706 11136 16981 22792 28837 37312 50685 68462 86171 109044
1 0 0 0 7792 10 1092 1658 5192 7548 9044 10760 13748 17462 22364 7014 0 2408 2274 2 10 716 2404 3842 4696 5202 6278 9522 18650 0 0 0
0 1268 3332 2110 1340 1684 3120 5108 6936 10012 19100 0 0 0 1202 3583 4414 3506 3242 4300 7002 11012 15314 18836 23542
2 8550 0 0 0 9480 30 2294 3470 8592 12348 15198 18248 22212 28392 3694 5742 0 3812 2408 8 30 1516 4154 6372 7482 8376 12056 23452 0 0 0
0 0 2664 5228 3526 2412 3162 5426 8190 12400 23802 0 0 0 0 2532 6728 7248 5816 5534 7588 12246 18212 23226 29056
3 6448 10014 0 0 0 9770 66 3006 4546 10268 14780 18076 20974 26380 1946 1946 4102 0 4016 2232 20 66 2052 5078 7246 8258 11166 21296 1946 0 0
0 0 0 3480 6026 4280 3106 4062 6522 10668 20890 1946 1202 0 0 0 3652 8493 8514 6884 6784 9524 14606 19644 24904
4 4422 3396 10980 0 0 0 10360 130 3210 4850 10780 15080 17570 21540 3396 1026 2578 3866 0 3868 2336 40 130 2260 5110 6820 9110 16960 4422 2052 0
0 0 0 0 3640 6280 4550 3420 4550 7870 15850 5448 5005 2532 0 0 0 4152 8824 8720 7200 7410 10160 14110 18400
5 3948 3408 1788 11208 0 0 0 10980 252 3368 4964 10448 13472 16400 4656 1788 540 2988 4140 0 3898 2512 76 252 2328 4720 6964 12944 6444 4116 2700
0 0 0 0 0 3648 6376 4516 3760 5880 11936 8772 8232 7836 3652 0 0 0 4230 8783 8828 7644 8100 10448 13980
6 6572 4322 3476 938 11222 0 0 0 11218 488 3554 4868 8776 11166 6664 3004 938 282 2874 4232 0 4082 2654 146 488 2436 4876 9460 7976 4598 4972
3384 0 0 0 0 0 3650 6002 4292 4926 9510 10790 8914 9570 9009 4152 0 0 0 4230 8942 9268 8438 9072 11950
7 11166 8776 4868 3554 488 11218 0 0 0 11222 938 3476 4322 6572 9460 4876 2436 488 146 2654 4082 0 4232 2874 282 938 3004 6664 9510 4926 4292
6002 3650 0 0 0 0 0 3384 4972 4598 7976 11950 9072 8438 9268 8942 4230 0 0 0 4152 9009 9570 8914 10790
8 16400 13472 10448 4964 3368 252 10980 0 0 0 11208 1788 3408 3948 12944 6964 4720 2328 252 76 2512 3898 0 4140 2988 540 1788 4656 11936 5880 3760
4516 6376 3648 0 0 0 0 0 2700 4116 6444 13980 10448 8100 7644 8828 8783 4230 0 0 0 3652 7836 8232 8772
9 21540 17570 15080 10780 4850 3210 130 10360 0 0 0 10980 3396 4422 16960 9110 6820 5110 2260 130 40 2336 3868 0 3866 2578 1026 3396 15850 7870 4550
3420 4550 6280 3640 0 0 0 0 0 2052 4422 18400 14110 10160 7410 7200 8720 8824 4152 0 0 0 2532 5005 5448
10 26380 20974 18076 14780 10268 4546 3006 66 9770 0 0 0 10014 6448 21296 11166 8258 7246 5078 2052 66 20 2232 4016 0 4102 1946 1946 20890 10668 6522
4062 3106 4280 6026 3480 0 0 0 0 0 1946 24904 19644 14606 9524 6784 6884 8514 8493 3652 0 0 0 1202 1946
11 28392 22212 18248 15198 12348 8592 3470 2294 30 9480 0 0 0 8550 23452 12056 8376 7482 6372 4154 1516 30 8 2408 3812 0 5742 3694 23802 12400 8190
5426 3162 2412 3526 5228 2664 0 0 0 0 0 29056 23226 18212 12246 7588 5534 5816 7248 6728 2532 0 0 0 0
12 22364 17462 13748 10760 9044 7548 5192 1658 1092 10 7792 0 0 0 18650 9522 6278 5202 4696 3842 2404 716 10 2 2274 2408 0 7014 19100 10012 6936
5108 3120 1684 1340 2110 3332 1268 0 0 0 0 23542 18836 15314 11012 7002 4300 3242 3506 4414 3583 1202 0 0 0
13 109891 86994 70216 52978 38394 27315 19168 13904 11355 12007 11285 10709 0 0 90146 46735 31928 25152 18722 12775 8524 6365 6032 6351 4814 2158 2 0 89889 46429 31067
23842 18291 14119 10957 7914 5029 3184 1210 4 2 8219 109044 86171 68462 50685 37312 28837 22792 16981 11136 6706 4238 3490 3488 5771
14 0 7014 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4330 0
0 0 0 0 0 0 0 0 0 0 0 5936 1204 0 0 0 0 0 0 0 0 0 0 0 0
15 0 0 2048 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3126 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
16 3292 2406 0 2156 1020 674 680 1174 2430 3834 5156 6410 7708 9758 3292 0 0 0 1270 6 358 386 1102 1912 2516 2932 4140 7972 1646 1646 0
2 2 2 1394 1472 1306 1304 1800 2638 4098 7946 0 0 0 0 0 1082 2728 2638 2404 2770 4012 5868 7608 9598
17 4340 3472 3804 0 2840 2144 1424 1448 2488 5160 8192 10792 12752 15896 2604 2604 0 0 0 2672 24 768 856 2384 3904 4912 6736 12752 868 868 868
0 8 8 8 2920 3136 2832 2824 3840 6232 12312 868 0 0 0 0 0 2264 5696 5512 5120 6064 8512 11376 14592
18 4122 2748 2748 3996 0 3600 2556 1710 1764 3042 6210 9450 11628 14310 2748 1374 2748 0 0 0 3150 54 954 1098 2790 4248 6084 11412 2290 458 458
458 0 18 18 18 3474 3744 3330 3456 5400 10782 2748 1374 0 0 0 0 0 2646 6660 6534 6300 7470 9720 12708
19 3600 2880 2160 2400 3828 0 3950 2584 1768 1870 3162 5950 8160 10166 3120 1680 720 3120 0 0 0 3128 102 1020 1190 2652 4352 8364 3840 2160 240
240 240 0 34 34 34 3434 3536 3196 4182 8160 5040 4800 2160 0 0 0 0 0 2618 6596 6630 6596 7616 9928
20 4340 3100 2356 1984 2480 3822 0 3936 2560 1856 2048 3136 5056 6592 4216 1860 1240 372 3224 0 0 0 3136 192 1088 1344 2880 5888 5208 2976 2604
124 124 124 0 64 64 64 3136 3072 3520 6400 6944 6076 6200 2604 0 0 0 0 0 2624 6528 6592 6656 8256
21 6592 5056 3136 2048 1856 2560 3936 0 3822 2480 1984 2356 3100 4340 5888 2880 1344 1088 192 3136 0 0 0 3224 372 1240 1860 4216 6400 3520 3072
3136 64 64 64 0 124 124 124 2604 2976 5208 8256 6656 6592 6528 2624 0 0 0 0 0 2604 6200 6076 6944
22 10166 8160 5950 3162 1870 1768 2584 3950 0 3828 2400 2160 2880 3600 8364 4352 2652 1190 1020 102 3128 0 0 0 3120 720 1680 3120 8160 4182 3196
3536 3434 34 34 34 0 240 240 240 2160 3840 9928 7616 6596 6630 6596 2618 0 0 0 0 0 2160 4800 5040
23 14310 11628 9450 6210 3042 1764 1710 2556 3600 0 3996 2748 2748 4122 11412 6084 4248 2790 1098 954 54 3150 0 0 0 2748 1374 2748 10782 5400 3456
3330 3744 3474 18 18 18 0 458 458 458 2290 12708 9720 7470 6300 6534 6660 2646 0 0 0 0 0 1374 2748
24 15896 12752 10792 8192 5160 2488 1448 1424 2144 2840 0 3804 3472 4340 12752 6736 4912 3904 2384 856 768 24 2672 0 0 0 2604 2604 12312 6232 3840
2824 2832 3136 2920 8 8 8 0 868 868 868 14592 11376 8512 6064 5120 5512 5696 2264 0 0 0 0 0 868
25 9758 7708 6410 5156 3834 2430 1174 680 674 1020 2156 0 2406 3292 7972 4140 2932 2516 1912 1102 386 358 6 1270 0 0 0 3292 7946 4098 2638
1800 1304 1306 1472 1394 2 2 2 0 1646 1646 9598 7608 5868 4012 2770 2404 2638 2728 1082 0 0 0 0 0
26 0 0 0 0 0 0 0 0 0 0 0 2048 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 3126 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 7014 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 4330 0 0 0 0 0 0 0 0 0 0 0 0 0 1204 5936
28 5936 1204 0 0 0 0 0 0 0 0 0 0 0 0 0 4330 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 7014 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 3126 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 2048 0 0 0 0 0 0 0 0 0 0 0
30 0 0 0 0 0 1082 2728 2638 2404 2770 4012 5868 7608 9598 1646 1646 0 2 2 2 1394 1472 1306 1304 1800 2638 4098 7946 3292 0 0
0 1270 6 358 386 1102 1912 2516 2932 4140 7972 3292 2406 0 2156 1020 674 680 1174 2430 3834 5156 6410 7708 9758
31 868 0 0 0 0 0 2264 5696 5512 5120 6064 8512 11376 14592 868 868 868 0 8 8 8 2920 3136 2832 2824 3840 6232 12312 2604 2604 0
0 0 2672 24 768 856 2384 3904 4912 6736 12752 4340 3472 3804 0 2840 2144 1424 1448 2488 5160 8192 10792 12752 15896
32 2748 1374 0 0 0 0 0 2646 6660 6534 6300 7470 9720 12708 2290 458 458 458 0 18 18 18 3474 3744 3330 3456 5400 10782 2748 1374 2748
0 0 0 3150 54 954 1098 2790 4248 6084 11412 4122 2748 2748 3996 0 3600 2556 1710 1764 3042 6210 9450 11628 14310
33 5040 4800 2160 0 0 0 0 0 2618 6596 6630 6596 7616 9928 3840 2160 240 240 240 0 34 34 34 3434 3536 3196 4182 8160 3120 1680 720
3120 0 0 0 3128 102 1020 1190 2652 4352 8364 3600 2880 2160 2400 3828 0 3950 2584 1768 1870 3162 5950 8160 10166
34 6944 6076 6200 2604 0 0 0 0 0 2624 6528 6592 6656 8256 5208 2976 2604 124 124 124 0 64 64 64 3136 3072 3520 6400 4216 1860 1240
372 3224 0 0 0 3136 192 1088 1344 2880 5888 4340 3100 2356 1984 2480 3822 0 3936 2560 1856 2048 3136 5056 6592
35 8256 6656 6592 6528 2624 0 0 0 0 0 2604 6200 6076 6944 6400 3520 3072 3136 64 64 64 0 124 124 124 2604 2976 5208 5888 2880 1344
1088 192 3136 0 0 0 3224 372 1240 1860 4216 6592 5056 3136 2048 1856 2560 3936 0 3822 2480 1984 2356 3100 4340
36 9928 7616 6596 6630 6596 2618 0 0 0 0 0 2160 4800 5040 8160 4182 3196 3536 3434 34 34 34 0 240 240 240 2160 3840 8364 4352 2652
1190 1020 102 3128 0 0 0 3120 720 1680 3120 10166 8160 5950 3162 1870 1768 2584 3950 0 3828 2400 2160 2880 3600
37 12708 9720 7470 6300 6534 6660 2646 0 0 0 0 0 1374 2748 10782 5400 3456 3330 3744 3474 18 18 18 0 458 458 458 2290 11412 6084 4248
2790 1098 954 54 3150 0 0 0 2748 1374 2748 14310 11628 9450 6210 3042 1764 1710 2556 3600 0 3996 2748 2748 4122
38 14592 11376 8512 6064 5120 5512 5696 2264 0 0 0 0 0 868 12312 6232 3840 2824 2832 3136 2920 8 8 8 0 868 868 868 12752 6736 4912
3904 2384 856 768 24 2672 0 0 0 2604 2604 15896 12752 10792 8192 5160 2488 1448 1424 2144 2840 0 3804 3472 4340
39 9598 7608 5868 4012 2770 2404 2638 2728 1082 0 0 0 0 0 7946 4098 2638 1800 1304 1306 1472 1394 2 2 2 0 1646 1646 7972 4140 2932
2516 1912 1102 386 358 6 1270 0 0 0 3292 9758 7708 6410 5156 3834 2430 1174 680 674 1020 2156 0 2406 3292
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 3126 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2048 0 0
41 0 0 0 0 0 0 0 0 0 0 0 0 1204 5936 0 0 0 0 0 0 0 0 0 0 0 0 4330 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7014 0
42 5771 3488 3490 4238 6706 11136 16981 22792 28837 37312 50685 68462 86171 109044 8219 2 4 1210 3184 5029 7914 10957 14119 18291 23842 31067 46429 89889 0 2 2158
4814 6351 6032 6365 8524 12775 18722 25152 31928 46735 90146 0 0 10709 11285 12007 11355 13904 19168 27315 38394 52978 70216 86994 109891
43 0 0 0 1202 3583 4414 3506 3242 4300 7002 11012 15314 18836 23542 0 0 0 0 1268 3332 2110 1340 1684 3120 5108 6936 10012 19100 7014 0 2408
2274 2 10 716 2404 3842 4696 5202 6278 9522 18650 0 0 0 7792 10 1092 1658 5192 7548 9044 10760 13748 17462 22364
44 0 0 0 0 2532 6728 7248 5816 5534 7588 12246 18212 23226 29056 0 0 0 0 0 2664 5228 3526 2412 3162 5426 8190 12400 23802 3694 5742 0
3812 2408 8 30 1516 4154 6372 7482 8376 12056 23452 8550 0 0 0 9480 30 2294 3470 8592 12348 15198 18248 22212 28392
45 1946 1202 0 0 0 3652 8493 8514 6884 6784 9524 14606 19644 24904 1946 0 0 0 0 0 3480 6026 4280 3106 4062 6522 10668 20890 1946 1946 4102
0 4016 2232 20 66 2052 5078 7246 8258 11166 21296 6448 10014 0 0 0 9770 66 3006 4546 10268 14780 18076 20974 26380
46 5448 5005 2532 0 0 0 4152 8824 8720 7200 7410 10160 14110 18400 4422 2052 0 0 0 0 0 3640 6280 4550 3420 4550 7870 15850 3396 1026 2578
3866 0 3868 2336 40 130 2260 5110 6820 9110 16960 4422 3396 10980 0 0 0 10360 130 3210 4850 10780 15080 17570 21540
47 8772 8232 7836 3652 0 0 0 4230 8783 8828 7644 8100 10448 13980 6444 4116 2700 0 0 0 0 0 3648 6376 4516 3760 5880 11936 4656 1788 540
2988 4140 0 3898 2512 76 252 2328 4720 6964 12944 3948 3408 1788 11208 0 0 0 10980 252 3368 4964 10448 13472 16400
48 10790 8914 9570 9009 4152 0 0 0 4230 8942 9268 8438 9072 11950 7976 4598 4972 3384 0 0 0 0 0 3650 6002 4292 4926 9510 6664 3004 938
282 2874 4232 0 4082 2654 146 488 2436 4876 9460 6572 4322 3476 938 11222 0 0 0 11218 488 3554 4868 8776 11166
49 11950 9072 8438 9268 8942 4230 0 0 0 4152 9009 9570 8914 10790 9510 4926 4292 6002 3650 0 0 0 0 0 3384 4972 4598 7976 9460 4876 2436
488 146 2654 4082 0 4232 2874 282 938 3004 6664 11166 8776 4868 3554 488 11218 0 0 0 11222 938 3476 4322 6572
50 13980 10448 8100 7644 8828 8783 4230 0 0 0 3652 7836 8232 8772 11936 5880 3760 4516 6376 3648 0 0 0 0 0 2700 4116 6444 12944 6964 4720
2328 252 76 2512 3898 0 4140 2988 540 1788 4656 16400 13472 10448 4964 3368 252 10980 0 0 0 11208 1788 3408 3948
51 18400 14110 10160 7410 7200 8720 8824 4152 0 0 0 2532 5005 5448 15850 7870 4550 3420 4550 6280 3640 0 0 0 0 0 2052 4422 16960 9110 6820
5110 2260 130 40 2336 3868 0 3866 2578 1026 3396 21540 17570 15080 10780 4850 3210 130 10360 0 0 0 10980 3396 4422
52 24904 19644 14606 9524 6784 6884 8514 8493 3652 0 0 0 1202 1946 20890 10668 6522 4062 3106 4280 6026 3480 0 0 0 0 0 1946 21296 11166 8258
7246 5078 2052 66 20 2232 4016 0 4102 1946 1946 26380 20974 18076 14780 10268 4546 3006 66 9770 0 0 0 10014 6448
53 29056 23226 18212 12246 7588 5534 5816 7248 6728 2532 0 0 0 0 23802 12400 8190 5426 3162 2412 3526 5228 2664 0 0 0 0 0 23452 12056 8376
7482 6372 4154 1516 30 8 2408 3812 0 5742 3694 28392 22212 18248 15198 12348 8592 3470 2294 30 9480 0 0 0 8550
54 23542 18836 15314 11012 7002 4300 3242 3506 4414 3583 1202 0 0 0 19100 10012 6936 5108 3120 1684 1340 2110 3332 1268 0 0 0 0 18650 9522 6278
5202 4696 3842 2404 716 10 2 2274 2408 0 7014 22364 17462 13748 10760 9044 7548 5192 1658 1092 10 7792 0 0 0
55 109044 86171 68462 50685 37312 28837 22792 16981 11136 6706 4238 3490 3488 5771 89889 46429 31067 23842 18291 14119 10957 7914 5029 3184 1210 4 2 8219 90146 46735 31928
25152 18722 12775 8524 6365 6032 6351 4814 2158 2 0 109891 86994 70216 52978 38394 27315 19168 13904 11355 12007 11285 10709 0 0
Sum of all rows = 4(3*0 + 2*2 + 1*4 + 1*1210 + 1*2158 + 1*3184 + 1*3488 + 1*3490 + 1*4238 + 1*4814 + 1*5029 + 1*5771 + 1*6032 + 1*6351 + 1*6365 + 1*6706 + 1*7914 + 1*8219 + 1*8524 + 1*10957 + 1*10709 + 1*11136 +
1*11285 + 1*11355 + 1*12007 + 1*12775 + 1*13904 + 1*14119 + 1*16981 + 1*18291 + 1*18722 + 1*19168 + 1*22792 + 1*23842 + 1*25152 + 1*27315 + 1*28837 + 1*31067 + 1*31928 + 1*37312 + 1*38394 +
1*46429 + 1*46735 + 1*50685 + 1*52978 + 1*68462 + 1*70216 + 1*86171 + 1*86994 + 1*89889 + 1*90146 + 1*109044 + 1*109891) +
4(11*0 + 1*2 + 1*10 + 1*10 + 1*716 + 1*1092 + 1*1202 + 1*1268 + 1*1340 + 1*1658 + 1*1684 + 1*2110 + 1*2274 + 1*2404 + 1*2408 + 1*3120 + 1*3242 + 1*3332 + 1*3506 + 1*3583 + 1*3842 + 1*4300 +
1*4414 + 1*4696 + 1*5108 + 1*5192 + 1*5202 + 1*6278 + 1*6936 + 1*7002 + 1*7014 + 1*7548 + 1*7792 + 1*9044 + 1*9522 + 1*10012 + 1*10760 + 1*11012 + 1*13748 + 1*15314 + 1*17462 + 1*18650 +
1*18836 + 1*19100 + 1*22364 + 1*23542) +
4(13*0 + 1*8 + 1*30 + 1*30 + 1*1516 + 1*2294 + 1*2408 + 1*2412 + 1*2532 + 1*2664 + 1*3162 + 1*3470 + 1*3526 + 1*3694 + 1*3812 + 1*4154 + 1*5228 + 1*5426 + 1*5534 + 1*5742 + 1*5816 + 1*6372 +
1*6728 + 1*7248 + 1*7482 + 1*7588 + 1*8190 + 1*8376 + 1*8550 + 1*8592 + 1*9480 + 1*12056 + 1*12246 + 1*12348 + 1*12400 + 1*15198 + 1*18212 + 1*18248 + 1*22212 + 1*23226 + 1*23452 + 1*23802 +
1*28392 + 1*29056) +
4(12*0 + 1*20 + 2*66 + 1*1202 + 4*1946 + 1*2052 + 1*2232 + 1*3006 + 1*3106 + 1*3480 + 1*3652 + 1*4102 + 1*4016 + 1*4062 + 1*4280 + 1*4546 + 1*5078 + 1*6026 + 1*6448 + 1*6522 + 1*6784 + 1*6884 +
1*7246 + 1*8258 + 1*8493 + 1*8514 + 1*9524 + 1*9770 + 1*10014 + 1*10268 + 1*10668 + 1*11166 + 1*14606 + 1*14780 + 1*18076 + 1*19644 + 1*20890 + 1*20974 + 1*21296 + 1*24904 + 1*26380) +
4(12*0 + 1*40 + 2*130 + 1*1026 + 1*2052 + 1*2260 + 1*2336 + 1*2532 + 1*2578 + 1*3210 + 2*3396 + 1*3420 + 1*3640 + 1*3866 + 1*3868 + 1*4152 + 2*4422 + 2*4550 + 1*4850 + 1*5005 + 1*5110 + 1*5448 +
2*6280 + 1*7200 + 1*7410 + 1*7870 + 1*8720 + 1*8824 + 1*9110 + 1*10160 + 1*10360 + 1*10780 + 1*10980 + 1*14110 + 1*15080 + 1*15850 + 1*16960 + 1*17570 + 1*18400 + 1*21540) +
4(12*0 + 1*76 + 2*252 + 1*540 + 2*1788 + 1*2328 + 1*2512 + 1*2700 + 1*2988 + 1*3368 + 1*3408 + 1*3648 + 1*3652 + 1*3760 + 1*3898 + 1*3948 + 1*4116 + 1*4140 + 1*4230 + 1*4516 + 1*4656 + 1*4720 +
1*4964 + 1*5880 + 1*6376 + 1*6444 + 1*6964 + 1*7644 + 1*7836 + 1*8100 + 1*8232 + 1*8772 + 1*8783 + 1*8828 + 2*10448 + 1*10980 + 1*11208 + 1*11936 + 1*12944 + 1*13472 + 1*13980 + 1*16400) +
4(12*0 + 1*146 + 1*282 + 2*488 + 2*938 + 1*2436 + 1*2654 + 1*2874 + 1*3004 + 1*3384 + 1*3476 + 1*3554 + 1*3650 + 1*4082 + 1*4152 + 1*4230 + 1*4232 + 1*4292 + 1*4322 + 1*4598 + 1*4868 + 1*4876 +
1*4926 + 1*4972 + 1*6002 + 1*6572 + 1*6664 + 1*7976 + 1*8438 + 1*8776 + 1*8914 + 1*8942 + 1*9009 + 1*9072 + 1*9268 + 1*9460 + 1*9510 + 1*9570 + 1*10790 + 1*11166 + 1*11218 + 1*11222 +
1*11950) +
4(52*0 + 1*1204 + 1*4330 + 1*5936 + 1*7014) +
4(54*0 + 1*2048 + 1*3126) +
4(10*0 + 3*2 + 1*6 + 1*358 + 1*386 + 1*674 + 1*680 + 1*1020 + 1*1082 + 1*1102 + 1*1174 + 1*1270 + 1*1304 + 1*1306 + 1*1394 + 1*1472 + 2*1646 + 1*1800 + 1*1912 + 1*2156 + 1*2404 + 1*2406 +
1*2430 + 1*2516 + 2*2638 + 1*2728 + 1*2770 + 1*2932 + 2*3292 + 1*3834 + 1*4012 + 1*4098 + 1*4140 + 1*5156 + 1*5868 + 1*6410 + 1*7608 + 1*7708 + 1*7946 + 1*7972 + 1*9598 + 1*9758) +
4(10*0 + 3*8 + 1*24 + 1*768 + 1*856 + 4*868 + 1*1424 + 1*1448 + 1*2144 + 1*2264 + 1*2384 + 1*2488 + 2*2604 + 1*2672 + 1*2824 + 1*2832 + 1*2840 + 1*2920 + 1*3136 + 1*3472 + 1*3804 + 1*3840 +
1*3904 + 1*4340 + 1*4912 + 1*5120 + 1*5160 + 1*5512 + 1*5696 + 1*6064 + 1*6232 + 1*6736 + 1*8192 + 1*8512 + 1*10792 + 1*11376 + 1*12312 + 2*12752 + 1*14592 + 1*15896) +
4(10*0 + 3*18 + 1*54 + 3*458 + 1*954 + 1*1098 + 2*1374 + 1*1710 + 1*1764 + 1*2290 + 1*2556 + 1*2646 + 5*2748 + 1*2790 + 1*3042 + 1*3150 + 1*3330 + 1*3456 + 1*3474 + 1*3600 + 1*3744 + 1*3996 +
1*4122 + 1*4248 + 1*5400 + 1*6084 + 1*6210 + 1*6300 + 1*6534 + 1*6660 + 1*7470 + 1*9450 + 1*9720 + 1*10782 + 1*11412 + 1*11628 + 1*12708 + 1*14310) +
4(10*0 + 3*34 + 1*102 + 3*240 + 1*720 + 1*1020 + 1*1190 + 1*1680 + 1*1768 + 1*1870 + 3*2160 + 1*2400 + 1*2584 + 1*2618 + 1*2652 + 1*2880 + 2*3120 + 1*3128 + 1*3162 + 1*3196 + 1*3434 + 1*3536 +
1*3600 + 1*3828 + 1*3840 + 1*3950 + 1*4182 + 1*4352 + 1*4800 + 1*5040 + 1*5950 + 2*6596 + 1*6630 + 1*7616 + 2*8160 + 1*8364 + 1*9928 + 1*10166) +
4(10*0 + 3*64 + 3*124 + 1*192 + 1*372 + 1*1088 + 1*1240 + 1*1344 + 1*1856 + 1*1860 + 1*1984 + 1*2048 + 1*2356 + 1*2480 + 1*2560 + 2*2604 + 1*2624 + 1*2880 + 1*2976 + 1*3072 + 1*3100 + 3*3136 +
1*3224 + 1*3520 + 1*3822 + 1*3936 + 1*4216 + 1*4340 + 1*5056 + 1*5208 + 1*5888 + 1*6076 + 1*6200 + 1*6400 + 1*6528 + 2*6592 + 1*6656 + 1*6944 + 1*8256)
= 5756756 + 1238604 + 1571648 + 1443540 + 1217652 + 1071692 + 1009524 + 73936 + 20696 + 546192 + 846784 + 778432 + 652960 + 594664
= 16823080
Value repetition frequencies = 4(51*1 + 1*2 + 1*3) +
4(43*1 + 1*2 + 1*11) +
4(41*1 + 1*2 + 1*13) +
4(38*1 + 1*2 + 1*4 + 1*12) +
4(34*1 + 5*2 + 1*12) +
4(38*1 + 3*2 + 1*12) +
4(40*1 + 2*2 + 1*12) +
4(4*1 + 1*52) +
4(2*1 + 1*54) +
4(37*1 + 3*2 + 1*3 + 1*10) +
4(35*1 + 2*2 + 1*3 + 1*4 + 1*10) +
4(33*1 + 1*2 + 2*3 + 1*5 + 1*10) +
4(31*1 + 3*2 + 3*3 + 1*10) +
4(33*1 + 2*2 + 3*3 + 1*10)
= 3136
Number of distinct row element sets = 14
Number of rows = 14*4
= 56
Number of distinct values = 475
Distinct values 0 2 4 6 8 10 18 20 24 30 34 40 54 64 66 76 102 124 130 146
Frequency 924 24 4 4 16 8 12 4 4 8 12 4 4 12 8 4 4 12 8 4
Distinct values 192 240 252 282 358 372 386 458 488 540 674 680 716 720 768 856 868 938 954 1020
Frequency 4 12 8 4 4 4 4 12 8 4 4 4 4 4 4 4 16 8 4 8
Distinct values 1026 1082 1088 1092 1098 1102 1174 1190 1202 1204 1210 1240 1268 1270 1304 1306 1340 1344 1374 1394
Frequency 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4 8 4
Distinct values 1424 1448 1472 1516 1646 1658 1680 1684 1710 1764 1768 1788 1800 1856 1860 1870 1912 1946 1984 2048
Frequency 4 4 4 4 8 4 4 4 4 4 4 8 4 4 4 4 4 16 4 8
Distinct values 2052 2110 2144 2156 2158 2160 2232 2260 2264 2274 2290 2294 2328 2336 2356 2384 2400 2404 2406 2408
Frequency 8 4 4 4 4 12 4 4 4 4 4 4 4 4 4 4 4 8 4 8
Distinct values 2412 2430 2436 2480 2488 2512 2516 2532 2556 2560 2578 2584 2604 2618 2624 2638 2646 2652 2654 2664
Frequency 4 4 4 4 4 4 4 8 4 4 4 4 16 4 4 8 4 4 4 4
Distinct values 2672 2700 2728 2748 2770 2790 2824 2832 2840 2874 2880 2920 2932 2976 2988 3004 3006 3042 3072 3100
Frequency 4 4 4 20 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4
Distinct values 3106 3120 3126 3128 3136 3150 3162 3184 3196 3210 3224 3242 3292 3330 3332 3368 3384 3396 3408 3420
Frequency 4 12 4 4 16 4 8 4 4 4 4 4 8 4 4 4 4 8 4 4
Distinct values 3434 3456 3470 3472 3474 3476 3480 3488 3490 3506 3520 3526 3536 3554 3583 3600 3640 3648 3650 3652
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4 8
Distinct values 3694 3744 3760 3804 3812 3822 3828 3834 3840 3842 3866 3868 3898 3904 3936 3948 3950 3996 4012 4016
Frequency 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4
Distinct values 4062 4082 4098 4102 4116 4122 4140 4152 4154 4182 4216 4230 4232 4238 4248 4280 4292 4300 4322 4330
Frequency 4 4 4 4 4 4 8 8 4 4 4 8 4 4 4 4 4 4 4 4
Distinct values 4340 4352 4414 4422 4516 4546 4550 4598 4656 4696 4720 4800 4814 4850 4868 4876 4912 4926 4964 4972
Frequency 8 4 4 8 4 4 8 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 5005 5029 5040 5056 5078 5108 5110 5120 5156 5160 5192 5202 5208 5228 5400 5426 5448 5512 5534 5696
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 5742 5771 5816 5868 5880 5888 5936 5950 6002 6026 6032 6064 6076 6084 6200 6210 6232 6278 6280 6300
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 6351 6365 6372 6376 6400 6410 6444 6448 6522 6528 6534 6572 6592 6596 6630 6656 6660 6664 6706 6728
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 8 8 4 4 4 4 4 4
Distinct values 6736 6784 6820 6884 6936 6944 6964 7002 7014 7200 7246 7248 7410 7470 7482 7548 7588 7608 7616 7644
Frequency 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4
Distinct values 7708 7792 7836 7870 7914 7946 7972 7976 8100 8160 8190 8192 8219 8232 8256 8258 8364 8376 8438 8493
Frequency 4 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4 4
Distinct values 8512 8514 8524 8550 8592 8720 8772 8776 8783 8824 8828 8914 8942 9009 9044 9072 9110 9268 9450 9460
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 9480 9510 9522 9524 9570 9598 9720 9758 9770 9928 10012 10014 10160 10166 10268 10360 10448 10668 10709 10760
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4
Distinct values 10780 10782 10790 10792 10957 10980 11012 11136 11166 11208 11218 11222 11285 11355 11376 11412 11628 11936 11950 12007
Frequency 4 4 4 4 4 8 4 4 8 4 4 4 4 4 4 4 4 4 4 4
Distinct values 12056 12246 12312 12348 12400 12708 12752 12775 12944 13472 13748 13904 13980 14110 14119 14310 14592 14606 14780 15080
Frequency 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 15198 15314 15850 15896 16400 16960 16981 17462 17570 18076 18212 18248 18291 18400 18650 18722 18836 19100 19168 19644
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 20890 20974 21296 21540 22212 22364 22792 23226 23452 23542 23802 23842 24904 25152 26380 27315 28392 28837 29056 31067
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 31928 37312 38394 46429 46735 50685 52978 68462 70216 86171 86994 89889 90146 109044 109891
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Sum of distinct value frequencies = 420*4 + 39*8 + 8*12 + 5*16 + 1*20 + 1*24 + 1*924
= 3136
Number of SN-EN pairs for which the number of CNSAPs is greater than zero = 4*2 + 4*4 + 4*43 + 16*44 + 4*45 + 20*46 + 4*53
= 2212
Number of SN-EN pairs, with SN != EN, for which the number of CNSAPs equals zero = 868
Number of possible SN-EN pairs with SN != EN = 55*56
= 3080
a = 15, b = 4
L C
3 8
4 16
5 40
6 80
7 192
8 276
9 656
10 1004
11 2780
12 3928
13 9472
14 13836
15 29368
16 46332
17 88888
18 146792
19 266656
20 438060
21 736868
22 1103020
23 1633456
24 2146688
25 2749960
26 3214128
27 3811808
28 3939444
29 4149124
30 3861880
31 3755636
32 3025320
33 2837252
34 1902176
35 1743952
36 843644
37 800404
38 226668
39 79764
40 9424
41 160
Total 43619160
Number of times each node is the start 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
L
3 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 2 0
0 2 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
4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 2 0 0 0 0 0 0 0 0 0 2 2 0
0 2 2 0 0 0 0 0 0 0 0 0 2 2 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 0 2 1 0 0 0 0 0 0 0 0 0 1 2 0
1 0 4 2 0 0 0 0 0 0 0 2 4 0 1
1 0 4 2 0 0 0 0 0 0 0 2 4 0 1
0 2 1 0 0 0 0 0 0 0 0 0 1 2 0
6 3 0 6 3 0 0 0 0 0 0 0 3 6 0 3
0 0 0 6 2 0 0 0 0 0 2 6 0 0 0
0 0 0 6 2 0 0 0 0 0 2 6 0 0 0
3 0 6 3 0 0 0 0 0 0 0 3 6 0 3
7 0 3 1 12 5 0 0 0 0 0 5 12 1 3 0
2 2 2 4 10 4 2 2 2 4 10 4 2 2 2
2 2 2 4 10 4 2 2 2 4 10 4 2 2 2
0 3 1 12 5 0 0 0 0 0 5 12 1 3 0
8 3 1 2 3 20 7 0 0 0 7 20 3 2 1 3
1 1 1 4 9 12 4 2 4 12 9 4 1 1 1
1 1 1 4 9 12 4 2 4 12 9 4 1 1 1
3 1 2 3 20 7 0 0 0 7 20 3 2 1 3
9 4 6 5 6 13 34 13 4 13 34 13 6 5 6 4
6 4 4 7 15 22 18 10 18 22 15 7 4 4 6
6 4 4 7 15 22 18 10 18 22 15 7 4 4 6
4 6 5 6 13 34 13 4 13 34 13 6 5 6 4
10 6 4 5 10 9 27 48 28 48 27 9 10 5 4 6
4 4 4 6 18 35 39 36 39 35 18 6 4 4 4
4 4 4 6 18 35 39 36 39 35 18 6 4 4 4
6 4 5 10 9 27 48 28 48 27 9 10 5 4 6
11 19 24 26 29 47 44 87 144 87 44 47 29 26 24 19
20 18 17 28 30 65 108 122 108 65 30 28 17 18 20
20 18 17 28 30 65 108 122 108 65 30 28 17 18 20
19 24 26 29 47 44 87 144 87 44 47 29 26 24 19
12 21 20 23 36 39 99 152 190 152 99 39 36 23 20 21
18 18 18 19 39 61 186 276 186 61 39 19 18 18 18
18 18 18 19 39 61 186 276 186 61 39 19 18 18 18
21 20 23 36 39 99 152 190 152 99 39 36 23 20 21
13 50 73 84 93 150 228 370 348 370 228 150 93 84 73 50
62 60 57 67 107 208 349 472 349 208 107 67 57 60 62
62 60 57 67 107 208 349 472 349 208 107 67 57 60 62
50 73 84 93 150 228 370 348 370 228 150 93 84 73 50
14 73 69 79 125 212 365 438 682 438 365 212 125 79 69 73
80 81 87 106 213 460 542 376 542 460 213 106 87 81 80
80 81 87 106 213 460 542 376 542 460 213 106 87 81 80
73 69 79 125 212 365 438 682 438 365 212 125 79 69 73
15 150 191 249 386 622 836 1022 712 1022 836 622 386 249 191 150
195 200 215 363 708 924 648 554 648 924 708 363 215 200 195
195 200 215 363 708 924 648 554 648 924 708 363 215 200 195
150 191 249 386 622 836 1022 712 1022 836 622 386 249 191 150
16 266 295 449 763 1179 1538 958 804 958 1538 1179 763 449 295 266
296 326 508 1026 1462 1051 736 656 736 1051 1462 1026 508 326 296
296 326 508 1026 1462 1051 736 656 736 1051 1462 1026 508 326 296
266 295 449 763 1179 1538 958 804 958 1538 1179 763 449 295 266
17 538 788 1238 2113 2885 1894 1429 1512 1429 1894 2885 2113 1238 788 538
623 846 1575 2453 2170 1518 1012 768 1012 1518 2170 2453 1575 846 623
623 846 1575 2453 2170 1518 1012 768 1012 1518 2170 2453 1575 846 623
538 788 1238 2113 2885 1894 1429 1512 1429 1894 2885 2113 1238 788 538
18 1148 1783 3210 4638 3301 2122 1889 1596 1889 2122 3301 4638 3210 1783 1148
1255 2294 3826 4037 3157 1909 928 806 928 1909 3157 4037 3826 2294 1255
1255 2294 3826 4037 3157 1909 928 806 928 1909 3157 4037 3826 2294 1255
1148 1783 3210 4638 3301 2122 1889 1596 1889 2122 3301 4638 3210 1783 1148
19 2747 5178 7897 6644 4592 3911 2695 2512 2695 3911 4592 6644 7897 5178 2747
3548 6087 7370 6575 4293 2093 1317 922 1317 2093 4293 6575 7370 6087 3548
3548 6087 7370 6575 4293 2093 1317 922 1317 2093 4293 6575 7370 6087 3548
2747 5178 7897 6644 4592 3911 2695 2512 2695 3911 4592 6644 7897 5178 2747
20 7696 12627 12128 8854 7148 4229 3165 2394 3165 4229 7148 8854 12128 12627 7696
9250 12686 12803 9076 4401 2508 1330 834 1330 2508 4401 9076 12803 12686 9250
9250 12686 12803 9076 4401 2508 1330 834 1330 2508 4401 9076 12803 12686 9250
7696 12627 12128 8854 7148 4229 3165 2394 3165 4229 7148 8854 12128 12627 7696
21 19883 22092 18338 15257 9154 6463 4580 4440 4580 6463 9154 15257 18338 22092 19883
21378 24378 19184 9997 5647 3152 1727 1534 1727 3152 5647 9997 19184 24378 21378
21378 24378 19184 9997 5647 3152 1727 1534 1727 3152 5647 9997 19184 24378 21378
19883 22092 18338 15257 9154 6463 4580 4440 4580 6463 9154 15257 18338 22092 19883
22 37365 35528 30531 17945 11358 7248 5275 4254 5275 7248 11358 17945 30531 35528 37365
43540 38400 21919 12141 6577 2986 1919 1792 1919 2986 6577 12141 21919 38400 43540
43540 38400 21919 12141 6577 2986 1919 1792 1919 2986 6577 12141 21919 38400 43540
37365 35528 30531 17945 11358 7248 5275 4254 5275 7248 11358 17945 30531 35528 37365
23 64915 61082 38037 24142 16495 11042 8154 7908 8154 11042 16495 24142 38037 61082 64915
73652 47919 27580 15375 7136 4170 3296 2830 3296 4170 7136 15375 27580 47919 73652
73652 47919 27580 15375 7136 4170 3296 2830 3296 4170 7136 15375 27580 47919 73652
64915 61082 38037 24142 16495 11042 8154 7908 8154 11042 16495 24142 38037 61082 64915
24 110460 75476 47928 33091 19765 12400 9043 7282 9043 12400 19765 33091 47928 75476 110460
96834 60367 34123 15607 7882 4711 3556 3576 3556 4711 7882 15607 34123 60367 96834
96834 60367 34123 15607 7882 4711 3556 3576 3556 4711 7882 15607 34123 60367 96834
110460 75476 47928 33091 19765 12400 9043 7282 9043 12400 19765 33091 47928 75476 110460
25 134773 93215 69197 42890 27880 18903 14159 13410 14159 18903 27880 42890 69197 93215 134773
123884 75124 36103 18458 10245 7288 6037 5258 6037 7288 10245 18458 36103 75124 123884
123884 75124 36103 18458 10245 7288 6037 5258 6037 7288 10245 18458 36103 75124 123884
134773 93215 69197 42890 27880 18903 14159 13410 14159 18903 27880 42890 69197 93215 134773
26 148825 125215 81626 52810 32932 21663 15144 12372 15144 21663 32932 52810 81626 125215 148825
152943 75670 39260 20171 12428 8782 6577 6600 6577 8782 12428 20171 39260 75670 152943
152943 75670 39260 20171 12428 8782 6577 6600 6577 8782 12428 20171 39260 75670 152943
148825 125215 81626 52810 32932 21663 15144 12372 15144 21663 32932 52810 81626 125215 148825
27 198387 131886 96273 65901 46356 31320 23529 22000 23529 31320 46356 65901 96273 131886 198387
156254 81006 40850 24267 17774 12965 10715 8938 10715 12965 17774 24267 40850 81006 156254
156254 81006 40850 24267 17774 12965 10715 8938 10715 12965 17774 24267 40850 81006 156254
198387 131886 96273 65901 46356 31320 23529 22000 23529 31320 46356 65901 96273 131886 198387
28 197975 140641 96852 74839 50047 34548 25194 20976 25194 34548 50047 74839 96852 140641 197975
157594 76028 38786 28275 20827 15846 11427 10988 11427 15846 20827 28275 38786 76028 157594
157594 76028 38786 28275 20827 15846 11427 10988 11427 15846 20827 28275 38786 76028 157594
197975 140641 96852 74839 50047 34548 25194 20976 25194 34548 50047 74839 96852 140641 197975
29 177945 141138 111290 77367 62901 47095 36768 34890 36768 47095 62901 77367 111290 141138 177945
160283 62800 37540 33083 26858 20381 17127 14520 17127 20381 26858 33083 37540 62800 160283
160283 62800 37540 33083 26858 20381 17127 14520 17127 20381 26858 33083 37540 62800 160283
177945 141138 111290 77367 62901 47095 36768 34890 36768 47095 62901 77367 111290 141138 177945
30 180591 119193 103739 82498 55014 44479 38220 32930 38220 44479 55014 82498 103739 119193 180591
129716 53172 37154 28439 29144 22923 16531 16384 16531 22923 29144 28439 37154 53172 129716
129716 53172 37154 28439 29144 22923 16531 16384 16531 22923 29144 28439 37154 53172 129716
180591 119193 103739 82498 55014 44479 38220 32930 38220 44479 55014 82498 103739 119193 180591
31 146181 119011 94480 81235 69993 54444 47144 49932 47144 54444 69993 81235 94480 119011 146181
101044 43463 34053 37049 26893 26411 23192 18700 23192 26411 26893 37049 34053 43463 101044
101044 43463 34053 37049 26893 26411 23192 18700 23192 26411 26893 37049 34053 43463 101044
146181 119011 94480 81235 69993 54444 47144 49932 47144 54444 69993 81235 94480 119011 146181
32 104601 92840 86923 67277 52010 48463 44220 35602 44220 48463 52010 67277 86923 92840 104601
73789 28105 25724 31254 32572 21365 18925 20922 18925 21365 32572 31254 25724 28105 73789
73789 28105 25724 31254 32572 21365 18925 20922 18925 21365 32572 31254 25724 28105 73789
104601 92840 86923 67277 52010 48463 44220 35602 44220 48463 52010 67277 86923 92840 104601
33 79672 72444 75967 68182 62365 51102 48488 55492 48488 51102 62365 68182 75967 72444 79672
54587 22599 27011 29836 28660 28192 22984 18956 22984 28192 28660 29836 27011 22599 54587
54587 22599 27011 29836 28660 28192 22984 18956 22984 28192 28660 29836 27011 22599 54587
79672 72444 75967 68182 62365 51102 48488 55492 48488 51102 62365 68182 75967 72444 79672
34 53604 46095 47043 46799 37277 36801 36665 34268 36665 36801 37277 46799 47043 46095 53604
30879 10264 18668 24611 24604 19123 16470 19014 16470 19123 24604 24611 18668 10264 30879
30879 10264 18668 24611 24604 19123 16470 19014 16470 19123 24604 24611 18668 10264 30879
53604 46095 47043 46799 37277 36801 36665 34268 36665 36801 37277 46799 47043 46095 53604
35 34568 40183 43007 37961 39241 39268 42368 42968 42368 39268 39241 37961 43007 40183 34568
24987 11850 13948 22115 19120 17882 19244 17524 19244 17882 19120 22115 13948 11850 24987
24987 11850 13948 22115 19120 17882 19244 17524 19244 17882 19120 22115 13948 11850 24987
34568 40183 43007 37961 39241 39268 42368 42968 42368 39268 39241 37961 43007 40183 34568
36 19333 17878 18369 18122 14286 18135 22956 24544 22956 18135 14286 18122 18369 17878 19333
8315 2493 9170 11210 11078 9890 11230 12348 11230 9890 11078 11210 9170 2493 8315
8315 2493 9170 11210 11078 9890 11230 12348 11230 9890 11078 11210 9170 2493 8315
19333 17878 18369 18122 14286 18135 22956 24544 22956 18135 14286 18122 18369 17878 19333
37 13218 17400 21118 17261 15178 17744 22520 26252 22520 17744 15178 17261 21118 17400 13218
12408 4014 6792 9348 7786 8380 8940 9736 8940 8380 7786 9348 6792 4014 12408
12408 4014 6792 9348 7786 8380 8940 9736 8940 8380 7786 9348 6792 4014 12408
13218 17400 21118 17261 15178 17744 22520 26252 22520 17744 15178 17261 21118 17400 13218
38 4755 3153 2864 3352 5232 6894 5836 4612 5836 6894 5232 3352 2864 3153 4755
361 286 4014 4192 2964 2930 4600 5856 4600 2930 2964 4192 4014 286 361
361 286 4014 4192 2964 2930 4600 5856 4600 2930 2964 4192 4014 286 361
4755 3153 2864 3352 5232 6894 5836 4612 5836 6894 5232 3352 2864 3153 4755
39 1281 2206 1768 838 2044 2610 2020 1284 2020 2610 2044 838 1768 2206 1281
1224 278 1030 962 798 866 958 832 958 866 798 962 1030 278 1224
1224 278 1030 962 798 866 958 832 958 866 798 962 1030 278 1224
1281 2206 1768 838 2044 2610 2020 1284 2020 2610 2044 838 1768 2206 1281
40 108 92 262 168 256 364 284 216 284 364 256 168 262 92 108
0 0 196 52 86 226 154 0 154 226 86 52 196 0 0
0 0 196 52 86 226 154 0 154 226 86 52 196 0 0
108 92 262 168 256 364 284 216 284 364 256 168 262 92 108
41 2 6 0 0 10 0 0 8 0 0 10 0 0 6 2
2 0 4 4 0 4 4 0 4 4 0 4 4 0 2
2 0 4 4 0 4 4 0 4 4 0 4 4 0 2
2 6 0 0 10 0 0 8 0 0 10 0 0 6 2
Total 1741166 1377838 1111015 851650 650016 526320 464833 446566 464833 526320 650016 851650 1111015 1377838 1741166
1439035 740847 499602 400225 315713 249343 212832 202144 212832 249343 315713 400225 499602 740847 1439035
1439035 740847 499602 400225 315713 249343 212832 202144 212832 249343 315713 400225 499602 740847 1439035
1741166 1377838 1111015 851650 650016 526320 464833 446566 464833 526320 650016 851650 1111015 1377838 1741166
Grand total = 2*202144 + 4*212832 + 4*249343 + 4*315713 + 4*400225 + 2*446566 + 4*464833 + 4*499602 + 4*526320 + 4*650016 + 4*740847 + 4*851650 + 4*1111015 + 4*1377838 + 4*1439035 + 4*1741166
= 43619160
Number of times each node is the end 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
L
3 2 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 0 0 0 0 0
2 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 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 0 0 0 0
4 0 0 0 0 0 0 0 0 0 0 0 0 0 4
5 10 0 0 0 0 0 0 0 0 0 0 0 0 0 10
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
10 0 0 0 0 0 0 0 0 0 0 0 0 0 10
6 20 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
20 0 0 0 0 0 0 0 0 0 0 0 0 0 20
7 33 2 2 2 2 2 2 2 2 2 2 2 2 2 33
2 0 0 0 0 0 0 0 0 0 0 0 0 0 2
2 0 0 0 0 0 0 0 0 0 0 0 0 0 2
33 2 2 2 2 2 2 2 2 2 2 2 2 2 33
8 56 1 2 2 2 2 2 2 2 2 2 2 2 1 56
1 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 1
56 1 2 2 2 2 2 2 2 2 2 2 2 1 56
9 99 6 9 10 10 10 10 10 10 10 10 10 9 6 99
5 0 0 0 0 0 0 0 0 0 0 0 0 0 5
5 0 0 0 0 0 0 0 0 0 0 0 0 0 5
99 6 9 10 10 10 10 10 10 10 10 10 9 6 99
10 173 6 9 13 14 14 14 14 14 14 14 13 9 6 173
1 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 1
173 6 9 13 14 14 14 14 14 14 14 13 9 6 173
11 331 24 42 47 53 54 54 54 54 54 53 47 42 24 331
15 4 8 8 8 8 8 8 8 8 8 8 8 4 15
15 4 8 8 8 8 8 8 8 8 8 8 8 4 15
331 24 42 47 53 54 54 54 54 54 53 47 42 24 331
12 606 24 40 54 61 69 70 70 70 69 61 54 40 24 606
1 0 4 4 4 4 4 4 4 4 4 4 4 0 1
1 0 4 4 4 4 4 4 4 4 4 4 4 0 1
606 24 40 54 61 69 70 70 70 69 61 54 40 24 606
13 1155 66 114 152 173 187 197 198 197 187 173 152 114 66 1155
29 10 24 36 36 36 36 36 36 36 36 36 24 10 29
29 10 24 36 36 36 36 36 36 36 36 36 24 10 29
1155 66 114 152 173 187 197 198 197 187 173 152 114 66 1155
14 2100 71 125 168 193 223 247 258 247 223 193 168 125 71 2100
1 0 24 38 40 40 40 40 40 40 40 38 24 0 1
1 0 24 38 40 40 40 40 40 40 40 38 24 0 1
2100 71 125 168 193 223 247 258 247 223 193 168 125 71 2100
15 3861 183 301 387 486 541 591 614 591 541 486 387 301 183 3861
47 16 60 102 130 132 132 132 132 132 130 102 60 16 47
47 16 60 102 130 132 132 132 132 132 130 102 60 16 47
3861 183 301 387 486 541 591 614 591 541 486 387 301 183 3861
16 6960 267 412 533 622 715 800 834 800 715 622 533 412 267 6960
3 0 66 136 174 190 192 192 192 190 174 136 66 0 3
3 0 66 136 174 190 192 192 192 190 174 136 66 0 3
6960 267 412 533 622 715 800 834 800 715 622 533 412 267 6960
17 12645 567 876 1074 1278 1478 1582 1622 1582 1478 1278 1074 876 567 12645
71 22 128 264 350 418 438 440 438 418 350 264 128 22 71
71 22 128 264 350 418 438 440 438 418 350 264 128 22 71
12645 567 876 1074 1278 1478 1582 1622 1582 1478 1278 1074 876 567 12645
18 22838 933 1408 1701 1902 2061 2140 2140 2140 2061 1902 1701 1408 933 22838
7 0 166 350 506 600 670 692 670 600 506 350 166 0 7
7 0 166 350 506 600 670 692 670 600 506 350 166 0 7
22838 933 1408 1701 1902 2061 2140 2140 2140 2061 1902 1701 1408 933 22838
19 41096 1786 2752 3239 3557 3675 3640 3636 3640 3675 3557 3239 2752 1786 41096
115 32 324 646 902 1120 1284 1356 1284 1120 902 646 324 32 115
115 32 324 646 902 1120 1284 1356 1284 1120 902 646 324 32 115
41096 1786 2752 3239 3557 3675 3640 3636 3640 3675 3557 3239 2752 1786 41096
20 71781 3034 4633 5342 5375 5017 4683 4430 4683 5017 5375 5342 4633 3034 71781
13 0 498 970 1346 1660 1934 2028 1934 1660 1346 970 498 0 13
13 0 498 970 1346 1660 1934 2028 1934 1660 1346 970 498 0 13
71781 3034 4633 5342 5375 5017 4683 4430 4683 5017 5375 5342 4633 3034 71781
21 118619 5636 8552 9488 9085 8208 7325 7138 7325 8208 9085 9488 8552 5636 118619
203 56 1000 1878 2462 3000 3366 3540 3366 3000 2462 1878 1000 56 203
203 56 1000 1878 2462 3000 3366 3540 3366 3000 2462 1878 1000 56 203
118619 5636 8552 9488 9085 8208 7325 7138 7325 8208 9085 9488 8552 5636 118619
22 180147 9677 14087 14738 13060 10683 8936 8160 8936 10683 13060 14738 14087 9677 180147
21 0 1660 3116 3966 4468 4728 4776 4728 4468 3966 3116 1660 0 21
21 0 1660 3116 3966 4468 4728 4776 4728 4468 3966 3116 1660 0 21
180147 9677 14087 14738 13060 10683 8936 8160 8936 10683 13060 14738 14087 9677 180147
23 251934 16999 23651 23703 20359 16373 13443 12586 13443 16373 20359 23703 23651 16999 251934
367 106 3176 5964 7224 7612 7508 7304 7508 7612 7224 5964 3176 106 367
367 106 3176 5964 7224 7612 7508 7304 7508 7612 7224 5964 3176 106 367
251934 16999 23651 23703 20359 16373 13443 12586 13443 16373 20359 23703 23651 16999 251934
24 318866 26833 35700 33924 27247 20213 15478 13680 15478 20213 27247 33924 35700 26833 318866
33 0 5400 9994 11440 10734 9450 9040 9450 10734 11440 9994 5400 0 33
33 0 5400 9994 11440 10734 9450 9040 9450 10734 11440 9994 5400 0 33
318866 26833 35700 33924 27247 20213 15478 13680 15478 20213 27247 33924 35700 26833 318866
25 361010 40997 53200 48951 38929 28995 22526 20410 22526 28995 38929 48951 53200 40997 361010
649 194 9652 17314 18604 16220 13768 12552 13768 16220 18604 17314 9652 194 649
649 194 9652 17314 18604 16220 13768 12552 13768 16220 18604 17314 9652 194 649
361010 40997 53200 48951 38929 28995 22526 20410 22526 28995 38929 48951 53200 40997 361010
26 386180 55733 70248 62805 47220 33698 24951 21864 24951 33698 47220 62805 70248 55733 386180
55 0 15314 26126 26008 20958 16042 14524 16042 20958 26008 26126 15314 0 55
55 0 15314 26126 26008 20958 16042 14524 16042 20958 26008 26126 15314 0 55
386180 55733 70248 62805 47220 33698 24951 21864 24951 33698 47220 62805 70248 55733 386180
27 397695 70594 89727 79239 61422 45385 34916 31666 34916 45385 61422 79239 89727 70594 397695
1117 336 22990 37688 36422 28394 21686 19016 21686 28394 36422 37688 22990 336 1117
1117 336 22990 37688 36422 28394 21686 19016 21686 28394 36422 37688 22990 336 1117
397695 70594 89727 79239 61422 45385 34916 31666 34916 45385 61422 79239 89727 70594 397695
28 360775 80067 99169 88009 66035 48534 37591 33364 37591 48534 66035 88009 99169 80067 360775
97 0 29146 47640 43808 32884 23944 20960 23944 32884 43808 47640 29146 0 97
97 0 29146 47640 43808 32884 23944 20960 23944 32884 43808 47640 29146 0 97
360775 80067 99169 88009 66035 48534 37591 33364 37591 48534 66035 88009 99169 80067 360775
29 308942 85196 108749 96229 76624 59465 49514 46622 49514 59465 76624 96229 108749 85196 308942
1903 566 35740 56336 51674 39558 30260 26428 30260 39558 51674 56336 35740 566 1903
1903 566 35740 56336 51674 39558 30260 26428 30260 39558 51674 56336 35740 566 1903
308942 85196 108749 96229 76624 59465 49514 46622 49514 59465 76624 96229 108749 85196 308942
30 257772 80835 102198 91810 69861 56189 49360 46600 49360 56189 69861 91810 102198 80835 257772
173 0 38708 58284 52434 39856 30758 27864 30758 39856 52434 58284 38708 0 173
173 0 38708 58284 52434 39856 30758 27864 30758 39856 52434 58284 38708 0 173
257772 80835 102198 91810 69861 56189 49360 46600 49360 56189 69861 91810 102198 80835 257772
31 193567 80041 96378 90073 75054 62829 59215 59978 59215 62829 75054 90073 96378 80041 193567
3259 958 37848 62162 53026 42184 35682 33288 35682 42184 53026 62162 37848 958 3259
3259 958 37848 62162 53026 42184 35682 33288 35682 42184 53026 62162 37848 958 3259
193567 80041 96378 90073 75054 62829 59215 59978 59215 62829 75054 90073 96378 80041 193567
32 133786 63691 80342 70441 59096 52376 51202 51466 51202 52376 59096 70441 80342 63691 133786
303 0 33710 53278 48752 36016 31682 31844 31682 36016 48752 53278 33710 0 303
303 0 33710 53278 48752 36016 31682 31844 31682 36016 48752 53278 33710 0 303
133786 63691 80342 70441 59096 52376 51202 51466 51202 52376 59096 70441 80342 63691 133786
33 96066 54372 72377 67177 58098 55895 56677 58716 56677 55895 58098 67177 72377 54372 96066
5629 1650 33568 48424 43562 36300 33430 33460 33430 36300 43562 48424 33568 1650 5629
5629 1650 33568 48424 43562 36300 33430 33460 33430 36300 43562 48424 33568 1650 5629
96066 54372 72377 67177 58098 55895 56677 58716 56677 55895 58098 67177 72377 54372 96066
34 59204 36639 44411 43469 37654 37321 39850 39364 39850 37321 37654 43469 44411 36639 59204
520 0 24308 37832 31092 25064 24886 27224 24886 25064 31092 37832 24308 0 520
520 0 24308 37832 31092 25064 24886 27224 24886 25064 31092 37832 24308 0 520
59204 36639 44411 43469 37654 37321 39850 39364 39850 37321 37654 43469 44411 36639 59204
35 39805 33114 41490 36470 35418 39735 42066 41556 42066 39735 35418 36470 41490 33114 39805
9322 2796 20220 30514 25230 22090 24638 24604 24638 22090 25230 30514 20220 2796 9322
9322 2796 20220 30514 25230 22090 24638 24604 24638 22090 25230 30514 20220 2796 9322
39805 33114 41490 36470 35418 39735 42066 41556 42066 39735 35418 36470 41490 33114 39805
36 19260 14451 17162 16403 16300 19671 21158 21404 21158 19671 16300 16403 17162 14451 19260
758 0 12514 15906 12730 12160 14124 15224 14124 12160 12730 15906 12514 0 758
758 0 12514 15906 12730 12160 14124 15224 14124 12160 12730 15906 12514 0 758
19260 14451 17162 16403 16300 19671 21158 21404 21158 19671 16300 16403 17162 14451 19260
37 15121 16709 18034 14749 16058 18850 20170 21136 20170 18850 16058 14749 18034 16709 15121
8916 2804 9894 12122 9052 9496 11238 12640 11238 9496 9052 12122 9894 2804 8916
8916 2804 9894 12122 9052 9496 11238 12640 11238 9496 9052 12122 9894 2804 8916
15121 16709 18034 14749 16058 18850 20170 21136 20170 18850 16058 14749 18034 16709 15121
38 3976 3263 3234 3296 5772 6952 5862 4544 5862 6952 5772 3296 3234 3263 3976
294 0 4464 4120 2750 3014 4624 5548 4624 3014 2750 4120 4464 0 294
294 0 4464 4120 2750 3014 4624 5548 4624 3014 2750 4120 4464 0 294
3976 3263 3234 3296 5772 6952 5862 4544 5862 6952 5772 3296 3234 3263 3976
39 1295 2014 1680 922 2088 2328 1850 1388 1850 2328 2088 922 1680 2014 1295
1144 274 1206 1014 872 1054 1094 824 1094 1054 872 1014 1206 274 1144
1144 274 1206 1014 872 1054 1094 824 1094 1054 872 1014 1206 274 1144
1295 2014 1680 922 2088 2328 1850 1388 1850 2328 2088 922 1680 2014 1295
40 102 96 262 164 266 360 280 224 280 360 266 164 262 96 102
2 0 196 52 84 226 154 0 154 226 84 52 196 0 2
2 0 196 52 84 226 154 0 154 226 84 52 196 0 2
102 96 262 164 266 360 280 224 280 360 266 164 262 96 102
41 2 6 0 0 10 0 0 8 0 0 10 0 0 6 2
2 0 4 4 0 4 4 0 4 4 0 4 4 0 2
2 0 4 4 0 4 4 0 4 4 0 4 4 0 2
2 6 0 0 10 0 0 8 0 0 10 0 0 6 2
Total 3667894 783933 991376 904784 749384 638108 576402 555758 576402 638108 749384 904784 991376 783933 3667894
35078 9824 342020 532322 484688 395500 347804 335588 347804 395500 484688 532322 342020 9824 35078
35078 9824 342020 532322 484688 395500 347804 335588 347804 395500 484688 532322 342020 9824 35078
3667894 783933 991376 904784 749384 638108 576402 555758 576402 638108 749384 904784 991376 783933 3667894
Grand total = 4*9824 + 4*35078 + 2*335588 + 4*342020 + 4*347804 + 4*395500 + 4*484688 + 4*532322 + 2*555758 + 4*576402 + 4*638108 + 4*749384 + 4*783933 + 4*904784 + 4*991376 + 4*3667894
= 43619160
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
L
3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2
1 2 0 0 0 0 0 0 0 0 0 0 0 2 1
1 2 0 0 0 0 0 0 0 0 0 0 0 2 1
2 1 0 0 0 0 0 0 0 0 0 0 0 1 2
4 4 2 0 0 0 0 0 0 0 0 0 0 0 2 4
2 6 2 0 0 0 0 0 0 0 0 0 2 6 2
2 6 2 0 0 0 0 0 0 0 0 0 2 6 2
4 2 0 0 0 0 0 0 0 0 0 0 0 2 4
5 10 7 1 0 0 0 0 0 0 0 0 0 1 7 10
6 15 9 2 0 0 0 0 0 0 0 2 9 15 6
6 15 9 2 0 0 0 0 0 0 0 2 9 15 6
10 7 1 0 0 0 0 0 0 0 0 0 1 7 10
6 23 14 7 3 0 0 0 0 0 0 0 3 7 14 23
11 29 19 12 2 0 0 0 0 0 2 12 19 29 11
11 29 19 12 2 0 0 0 0 0 2 12 19 29 11
23 14 7 3 0 0 0 0 0 0 0 3 7 14 23
7 35 25 17 19 9 4 4 4 4 4 9 19 17 25 35
26 51 55 38 24 12 10 10 10 12 24 38 55 51 26
26 51 55 38 24 12 10 10 10 12 24 38 55 51 26
35 25 17 19 9 4 4 4 4 4 9 19 17 25 35
8 61 37 20 27 30 11 4 4 4 11 30 27 20 37 61
35 81 77 68 51 28 14 12 14 28 51 68 77 81 35
35 81 77 68 51 28 14 12 14 28 51 68 77 81 35
61 37 20 27 30 11 4 4 4 11 30 27 20 37 61
9 117 86 63 73 79 72 41 32 41 72 79 73 63 86 117
83 160 163 161 143 112 76 62 76 112 143 161 163 160 83
83 160 163 161 143 112 76 62 76 112 143 161 163 160 83
117 86 63 73 79 72 41 32 41 72 79 73 63 86 117
10 189 124 78 114 129 129 102 68 102 129 129 114 78 124 189
117 269 252 250 258 229 169 134 169 229 258 250 252 269 117
117 269 252 250 258 229 169 134 169 229 258 250 252 269 117
189 124 78 114 129 129 102 68 102 129 129 114 78 124 189
11 421 374 361 454 470 458 447 450 447 458 470 454 361 374 421
326 606 585 676 667 674 615 572 615 674 667 676 585 606 326
326 606 585 676 667 674 615 572 615 674 667 676 585 606 326
421 374 361 454 470 458 447 450 447 458 470 454 361 374 421
12 679 498 400 573 676 714 727 758 727 714 676 573 400 498 679
441 1005 931 911 1009 1094 1158 1178 1158 1094 1009 911 931 1005 441
441 1005 931 911 1009 1094 1158 1178 1158 1094 1009 911 931 1005 441
679 498 400 573 676 714 727 758 727 714 676 573 400 498 679
13 1438 1263 1267 1716 2050 2174 2324 2326 2324 2174 2050 1716 1267 1263 1438
1106 2147 2067 2100 2460 2726 3117 3332 3117 2726 2460 2100 2067 2147 1106
1106 2147 2067 2100 2460 2726 3117 3332 3117 2726 2460 2100 2067 2147 1106
1438 1263 1267 1716 2050 2174 2324 2326 2324 2174 2050 1716 1267 1263 1438
14 2395 1793 1524 2220 2810 3340 3705 3976 3705 3340 2810 2220 1524 1793 2395
1622 3546 3372 3331 3634 4555 5584 6014 5584 4555 3634 3331 3372 3546 1622
1622 3546 3372 3331 3634 4555 5584 6014 5584 4555 3634 3331 3372 3546 1622
2395 1793 1524 2220 2810 3340 3705 3976 3705 3340 2810 2220 1524 1793 2395
15 4699 3961 3813 5449 7047 8456 9342 9542 9342 8456 7047 5449 3813 3961 4699
3536 7143 6953 7233 8340 10654 12259 12948 12259 10654 8340 7233 6953 7143 3536
3536 7143 6953 7233 8340 10654 12259 12948 12259 10654 8340 7233 6953 7143 3536
4699 3961 3813 5449 7047 8456 9342 9542 9342 8456 7047 5449 3813 3961 4699
16 8116 6322 5624 8409 11242 13904 15284 15638 15284 13904 11242 8409 5624 6322 8116
5672 12210 12027 13012 15490 18521 20864 21624 20864 18521 15490 13012 12027 12210 5672
5672 12210 12027 13012 15490 18521 20864 21624 20864 18521 15490 13012 12027 12210 5672
8116 6322 5624 8409 11242 13904 15284 15638 15284 13904 11242 8409 5624 6322 8116
17 15266 12814 12472 18622 24715 28882 31539 32430 31539 28882 24715 18622 12472 12814 15266
11272 23619 24295 27762 32627 37057 40207 40820 40207 37057 32627 27762 24295 23619 11272
11272 23619 24295 27762 32627 37057 40207 40820 40207 37057 32627 27762 24295 23619 11272
15266 12814 12472 18622 24715 28882 31539 32430 31539 28882 24715 18622 12472 12814 15266
18 27182 22561 22367 33712 42130 47592 51647 53188 51647 47592 42130 33712 22367 22561 27182
19420 42868 46039 52869 60270 64960 66703 67300 66703 64960 60270 52869 46039 42868 19420
19420 42868 46039 52869 60270 64960 66703 67300 66703 64960 60270 52869 46039 42868 19420
27182 22561 22367 33712 42130 47592 51647 53188 51647 47592 42130 33712 22367 22561 27182
19 50648 45716 48850 68192 81839 91345 96816 99188 96816 91345 81839 68192 48850 45716 50648
38286 84348 92841 104778 114107 118939 120021 120592 120021 118939 114107 104778 92841 84348 38286
38286 84348 92841 104778 114107 118939 120021 120592 120021 118939 114107 104778 92841 84348 38286
50648 45716 48850 68192 81839 91345 96816 99188 96816 91345 81839 68192 48850 45716 50648
20 91118 86200 90143 120190 140904 150969 154957 155572 154957 150969 140904 120190 90143 86200 91118
70693 157603 173027 187458 195617 198681 197019 195870 197019 198681 195617 187458 173027 157603 70693
70693 157603 173027 187458 195617 198681 197019 195870 197019 198681 195617 187458 173027 157603 70693
91118 86200 90143 120190 140904 150969 154957 155572 154957 150969 140904 120190 90143 86200 91118
21 163483 163468 173522 225304 254600 265576 266556 266370 266556 265576 254600 225304 173522 163468 163483
135622 290581 312268 325129 330430 331549 331445 331678 331445 331549 330430 325129 312268 290581 135622
135622 290581 312268 325129 330430 331549 331445 331678 331445 331549 330430 325129 312268 290581 135622
163483 163468 173522 225304 254600 265576 266556 266370 266556 265576 254600 225304 173522 163468 163483
22 265062 275339 298244 369892 402255 402616 391344 384738 391344 402616 402255 369892 298244 275339 265062
236753 483679 499841 500856 497077 498348 501679 502512 501679 498348 497077 500856 499841 483679 236753
236753 483679 499841 500856 497077 498348 501679 502512 501679 498348 497077 500856 499841 483679 236753
265062 275339 298244 369892 402255 402616 391344 384738 391344 402616 402255 369892 298244 275339 265062
23 411931 463191 506746 605791 640407 627859 603906 593100 603906 627859 640407 605791 506746 463191 411931
403801 756870 755716 736799 728051 737056 745109 745178 745109 737056 728051 736799 755716 756870 403801
403801 756870 755716 736799 728051 737056 745109 745178 745109 737056 728051 736799 755716 756870 403801
411931 463191 506746 605791 640407 627859 603906 593100 603906 627859 640407 605791 506746 463191 411931
24 596277 691753 755389 866619 878802 834248 788919 771316 788919 834248 878802 866619 755389 691753 596277
609649 1057190 1018916 974906 965931 976287 984822 989524 984822 976287 965931 974906 1018916 1057190 609649
609649 1057190 1018916 974906 965931 976287 984822 989524 984822 976287 965931 974906 1018916 1057190 609649
596277 691753 755389 866619 878802 834248 788919 771316 788919 834248 878802 866619 755389 691753 596277
25 794352 987382 1107166 1215745 1194730 1119735 1057879 1036920 1057879 1119735 1194730 1215745 1107166 987382 794352
880841 1372993 1289738 1239354 1245187 1264961 1265907 1265640 1265907 1264961 1245187 1239354 1289738 1372993 880841
880841 1372993 1289738 1239354 1245187 1264961 1265907 1265640 1265907 1264961 1245187 1239354 1289738 1372993 880841
794352 987382 1107166 1215745 1194730 1119735 1057879 1036920 1057879 1119735 1194730 1215745 1107166 987382 794352
26 991825 1314735 1465645 1537326 1451458 1324878 1238541 1210712 1238541 1324878 1451458 1537326 1465645 1314735 991825
1186712 1658463 1506469 1434747 1454881 1482420 1491072 1494608 1491072 1482420 1454881 1434747 1506469 1658463 1186712
1186712 1658463 1506469 1434747 1454881 1482420 1491072 1494608 1491072 1482420 1454881 1434747 1506469 1658463 1186712
991825 1314735 1465645 1537326 1451458 1324878 1238541 1210712 1238541 1324878 1451458 1537326 1465645 1314735 991825
27 1262283 1715145 1917830 1962590 1832889 1661212 1553540 1519134 1553540 1661212 1832889 1962590 1917830 1715145 1262283
1561522 1971671 1738398 1677835 1723396 1744626 1763742 1766916 1763742 1744626 1723396 1677835 1738398 1971671 1561522
1561522 1971671 1738398 1677835 1723396 1744626 1763742 1766916 1763742 1744626 1723396 1677835 1738398 1971671 1561522
1262283 1715145 1917830 1962590 1832889 1661212 1553540 1519134 1553540 1661212 1832889 1962590 1917830 1715145 1262283
28 1421378 1964464 2172081 2155983 1943320 1736172 1614982 1576792 1614982 1736172 1943320 2155983 2172081 1964464 1421378
1838978 2058754 1771446 1727341 1776346 1828775 1850248 1854888 1850248 1828775 1776346 1727341 1771446 2058754 1838978
1838978 2058754 1771446 1727341 1776346 1828775 1850248 1854888 1850248 1828775 1776346 1727341 1771446 2058754 1838978
1421378 1964464 2172081 2155983 1943320 1736172 1614982 1576792 1614982 1736172 1943320 2155983 2172081 1964464 1421378
29 1539093 2211443 2487393 2436688 2192199 1966102 1839233 1802462 1839233 1966102 2192199 2436688 2487393 2211443 1539093
2104558 2128478 1815808 1794084 1849853 1914466 1933844 1933352 1933844 1914466 1849853 1794084 1815808 2128478 2104558
2104558 2128478 1815808 1794084 1849853 1914466 1933844 1933352 1933844 1914466 1849853 1794084 1815808 2128478 2104558
1539093 2211443 2487393 2436688 2192199 1966102 1839233 1802462 1839233 1966102 2192199 2436688 2487393 2211443 1539093
30 1570228 2243460 2498829 2368442 2081035 1865488 1764595 1735742 1764595 1865488 2081035 2368442 2498829 2243460 1570228
2174144 2008740 1645665 1620066 1743523 1805455 1806332 1800454 1806332 1805455 1743523 1620066 1645665 2008740 2174144
2174144 2008740 1645665 1620066 1743523 1805455 1806332 1800454 1806332 1805455 1743523 1620066 1645665 2008740 2174144
1570228 2243460 2498829 2368442 2081035 1865488 1764595 1735742 1764595 1865488 2081035 2368442 2498829 2243460 1570228
31 1566788 2303455 2590634 2454311 2170029 1965154 1877470 1863040 1877470 1965154 2170029 2454311 2590634 2303455 1566788
2234560 1911581 1572153 1552001 1655268 1730868 1730925 1718924 1730925 1730868 1655268 1552001 1572153 1911581 2234560
2234560 1911581 1572153 1552001 1655268 1730868 1730925 1718924 1730925 1730868 1655268 1552001 1572153 1911581 2234560
1566788 2303455 2590634 2454311 2170029 1965154 1877470 1863040 1877470 1965154 2170029 2454311 2590634 2303455 1566788
32 1386045 2019374 2215076 2028068 1772742 1613108 1556237 1541630 1556237 1613108 1772742 2028068 2215076 2019374 1386045
2010705 1532811 1190672 1240119 1364101 1398248 1403318 1402242 1403318 1398248 1364101 1240119 1190672 1532811 2010705
2010705 1532811 1190672 1240119 1364101 1398248 1403318 1402242 1403318 1398248 1364101 1240119 1190672 1532811 2010705
1386045 2019374 2215076 2028068 1772742 1613108 1556237 1541630 1556237 1613108 1772742 2028068 2215076 2019374 1386045
33 1313975 1964065 2193507 2022579 1794743 1662742 1627403 1628998 1627403 1662742 1794743 2022579 2193507 1964065 1313975
1947817 1436104 1084063 1118285 1241424 1277039 1273262 1271644 1273262 1277039 1241424 1118285 1084063 1436104 1947817
1947817 1436104 1084063 1118285 1241424 1277039 1273262 1271644 1273262 1277039 1241424 1118285 1084063 1436104 1947817
1313975 1964065 2193507 2022579 1794743 1662742 1627403 1628998 1627403 1662742 1794743 2022579 2193507 1964065 1313975
34 993984 1401346 1523509 1381768 1210188 1132599 1121292 1125580 1121292 1132599 1210188 1381768 1523509 1401346 993984
1473523 905027 687173 759950 847708 877641 861742 856512 861742 877641 847708 759950 687173 905027 1473523
1473523 905027 687173 759950 847708 877641 861742 856512 861742 877641 847708 759950 687173 905027 1473523
993984 1401346 1523509 1381768 1210188 1132599 1121292 1125580 1121292 1132599 1210188 1381768 1523509 1401346 993984
35 911258 1326590 1465006 1335956 1194230 1152460 1168121 1176772 1168121 1152460 1194230 1335956 1465006 1326590 911258
1392763 834486 589583 665771 748688 763783 752837 739324 752837 763783 748688 665771 589583 834486 1392763
1392763 834486 589583 665771 748688 763783 752837 739324 752837 763783 748688 665771 589583 834486 1392763
911258 1326590 1465006 1335956 1194230 1152460 1168121 1176772 1168121 1152460 1194230 1335956 1465006 1326590 911258
36 497801 671870 725264 636733 572621 569170 583988 589688 583988 569170 572621 636733 725264 671870 497801
739637 353875 291883 341731 380464 378370 370622 367846 370622 378370 380464 341731 291883 353875 739637
739637 353875 291883 341731 380464 378370 370622 367846 370622 378370 380464 341731 291883 353875 739637
497801 671870 725264 636733 572621 569170 583988 589688 583988 569170 572621 636733 725264 671870 497801
37 507106 669470 726863 619112 558660 574810 611100 629456 611100 574810 558660 619112 726863 669470 507106
764341 291760 256231 316075 360278 351944 323932 314654 323932 351944 360278 316075 256231 291760 764341
764341 291760 256231 316075 360278 351944 323932 314654 323932 351944 360278 316075 256231 291760 764341
507106 669470 726863 619112 558660 574810 611100 629456 611100 574810 558660 619112 726863 669470 507106
38 152687 196128 210552 171780 158468 166694 176680 179746 176680 166694 158468 171780 210552 196128 152687
222280 75982 77600 95912 110650 104130 96482 94896 96482 104130 110650 95912 77600 75982 222280
222280 75982 77600 95912 110650 104130 96482 94896 96482 104130 110650 95912 77600 75982 222280
152687 196128 210552 171780 158468 166694 176680 179746 176680 166694 158468 171780 210552 196128 152687
39 56212 74082 75048 52422 61066 70854 64544 56994 64544 70854 61066 52422 75048 74082 56212
77998 23502 30906 38222 38878 31198 35018 38504 35018 31198 38878 38222 30906 23502 77998
77998 23502 30906 38222 38878 31198 35018 38504 35018 31198 38878 38222 30906 23502 77998
56212 74082 75048 52422 61066 70854 64544 56994 64544 70854 61066 52422 75048 74082 56212
40 6902 8982 9206 5464 6986 8812 7524 6200 7524 8812 6986 5464 9206 8982 6902
9370 2572 4056 5078 5196 3872 4492 5256 4492 3872 5196 5078 4056 2572 9370
9370 2572 4056 5078 5196 3872 4492 5256 4492 3872 5196 5078 4056 2572 9370
6902 8982 9206 5464 6986 8812 7524 6200 7524 8812 6986 5464 9206 8982 6902
41 124 160 144 92 160 128 112 160 112 128 160 92 144 160 124
156 40 84 80 80 80 80 80 80 80 80 80 84 40 156
156 40 84 80 80 80 80 80 80 80 80 80 84 40 156
124 160 144 92 160 128 112 160 112 128 160 92 144 160 124
Total 16611197 22847700 25304661 24712438 22685718 21068467 20280905 20068726 20280905 21068467 22685718 24712438 25304661 22847700 16611197
22158385 21490867 18501383 18565002 19502109 19959358 19994726 19965100 19994726 19959358 19502109 18565002 18501383 21490867 22158385
22158385 21490867 18501383 18565002 19502109 19959358 19994726 19965100 19994726 19959358 19502109 18565002 18501383 21490867 22158385
16611197 22847700 25304661 24712438 22685718 21068467 20280905 20068726 20280905 21068467 22685718 24712438 25304661 22847700 16611197
Grand total = 4*16611197 + 4*18501383 + 4*18565002 + 4*19502109 + 4*19959358 + 2*19965100 + 4*19994726 + 2*20068726 + 4*20280905 + 4*21068467 + 4*21490867 + 4*22158385 + 4*22685718 + 4*22847700 + 4*24712438 + 4*25304661
= 1254799316
Number of CNSAPs for each start node (SN) and end 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
EN
0 0 0 20327 21421 22779 21509 26344 36462 51998 72233 98292 133266 176427 219610 277881 0 2 4098 9130 12041 11450 12089 16077 23697 34615 48396 63295 80221 118213 228521 15596
2 4 2289 6029 9544 15069 20751 26245 33724 45513 61097 79777 118409 228738 10948 6616 6618 8035 12711 21102 32230 43418 54917 70094 93798 130010 175829 220212 278175
1 0 0 0 14792 10 2064 3146 9932 14450 17068 19840 25768 35194 45148 57366 13312 0 4566 4314 2 10 1352 4562 7196 8744 9934 12074 15954 24454 47632 0
0 0 0 2406 6342 4018 2502 3060 5696 9840 14020 17584 25158 48242 0 0 0 2281 6794 8360 6622 6114 8102 13096 20498 29388 38630 47068 59228
2 16228 0 0 0 17994 30 4358 6622 16468 23392 28196 34070 43872 55708 71246 7014 10902 0 7226 4552 8 30 2844 7766 11938 14554 16398 20012 30338 59350 0
0 0 0 0 5072 9998 6680 4390 5646 10210 16352 21994 31758 60650 0 0 0 0 4808 12760 13726 11004 10408 14080 22678 35148 48536 59684 74678
3 12244 19022 0 0 0 18534 66 5726 8666 19464 27648 34134 41264 50364 64356 3694 3694 7790 0 7628 4220 20 66 3772 9494 14292 16770 18924 27332 53176 3694
0 0 0 0 0 6660 11504 7978 5544 7338 12458 18630 28120 53970 3694 2281 0 0 0 6963 16196 16248 13100 12602 17440 28014 41408 52674 65908
4 8394 6448 20886 0 0 0 19670 130 6010 9090 20300 29180 35700 41450 52140 6448 1946 4902 7336 0 7366 4464 40 130 4100 10050 14310 16310 22070 42100 8394
3892 0 0 0 0 0 6960 11870 8460 6150 8050 12910 21100 41310 10340 9496 4808 0 0 0 7968 16986 16810 13600 13420 18860 28910 38860 49260
5 7500 6474 3396 21314 0 0 0 20908 252 6104 9220 20792 29132 33928 41576 8844 3396 1026 5682 7842 0 7384 4832 76 252 4304 9844 13168 17584 32724 12240
7818 5130 0 0 0 0 0 6916 12172 8780 6588 8760 15168 30560 16662 15636 14890 6963 0 0 0 8131 16900 16848 13900 14284 19564 27184 35460
6 12552 8268 6648 1788 21300 0 0 0 21426 488 6474 9540 20188 26044 31700 12720 5736 1788 540 5436 8040 0 7608 4934 146 488 4480 9118 13460 25018 15216
8772 9480 6480 0 0 0 0 0 7008 12346 8730 7266 11362 23066 20580 17004 18252 17226 7968 0 0 0 8100 16910 17072 14778 15654 20188 27016
7 21494 16896 9398 6860 938 21384 0 0 0 21384 938 6860 9398 16896 21494 18208 9386 4696 938 282 5034 7866 0 7866 5034 282 938 4696 9386 18208 18300
9478 8258 11538 7050 0 0 0 0 0 7050 11538 8258 9478 18300 22990 17454 16234 17828 17238 8131 0 0 0 8131 17238 17828 16234 17454 22990
8 31700 26044 20188 9540 6474 488 21426 0 0 0 21300 1788 6648 8268 12552 25018 13460 9118 4480 488 146 4934 7608 0 8040 5436 540 1788 5736 12720 23066
11362 7266 8730 12346 7008 0 0 0 0 0 6480 9480 8772 15216 27016 20188 15654 14778 17072 16910 8100 0 0 0 7968 17226 18252 17004 20580
9 41576 33928 29132 20792 9220 6104 252 20908 0 0 0 21314 3396 6474 7500 32724 17584 13168 9844 4304 252 76 4832 7384 0 7842 5682 1026 3396 8844 30560
15168 8760 6588 8780 12172 6916 0 0 0 0 0 5130 7818 12240 35460 27184 19564 14284 13900 16848 16900 8131 0 0 0 6963 14890 15636 16662
10 52140 41450 35700 29180 20300 9090 6010 130 19670 0 0 0 20886 6448 8394 42100 22070 16310 14310 10050 4100 130 40 4464 7366 0 7336 4902 1946 6448 41310
21100 12910 8050 6150 8460 11870 6960 0 0 0 0 0 3892 8394 49260 38860 28910 18860 13420 13600 16810 16986 7968 0 0 0 4808 9496 10340
11 64356 50364 41264 34134 27648 19464 8666 5726 66 18534 0 0 0 19022 12244 53176 27332 18924 16770 14292 9494 3772 66 20 4220 7628 0 7790 3694 3694 53970
28120 18630 12458 7338 5544 7978 11504 6660 0 0 0 0 0 3694 65908 52674 41408 28014 17440 12602 13100 16248 16196 6963 0 0 0 2281 3694
12 71246 55708 43872 34070 28196 23392 16468 6622 4358 30 17994 0 0 0 16228 59350 30338 20012 16398 14554 11938 7766 2844 30 8 4552 7226 0 10902 7014 60650
31758 21994 16352 10210 5646 4390 6680 9998 5072 0 0 0 0 0 74678 59684 48536 35148 22678 14080 10408 11004 13726 12760 4808 0 0 0 0
13 57366 45148 35194 25768 19840 17068 14450 9932 3146 2064 10 14792 0 0 0 47632 24454 15954 12074 9934 8744 7196 4562 1352 10 2 4314 4566 0 13312 48242
25158 17584 14020 9840 5696 3060 2502 4018 6342 2406 0 0 0 0 59228 47068 38630 29388 20498 13096 8102 6114 6622 8360 6794 2281 0 0 0
14 277881 219610 176427 133266 98292 72233 51998 36462 26344 21509 22779 21421 20327 0 0 228521 118213 80221 63295 48396 34615 23697 16077 12089 11450 12041 9130 4098 2 0 228738
118409 79777 61097 45513 33724 26245 20751 15069 9544 6029 2289 4 2 15596 278175 220212 175829 130010 93798 70094 54917 43418 32230 21102 12711 8035 6618 6616 10948
15 0 13312 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8219 0 0 0 0 0 0 0 0 0 0 0 0 0 11264 2283 0 0 0 0 0 0 0 0 0 0 0 0 0
16 0 0 3888 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5936
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
17 6252 4564 0 4096 1940 1276 1282 2234 4642 7252 9598 12076 15322 19052 24278 6252 0 0 0 2408 6 676 718 2048 3568 4908 5844 6996 10324 20084 3126
3126 0 2 2 2 2666 2800 2424 2362 3360 5158 7158 10598 20346 0 0 0 0 0 2054 5188 5026 4564 5164 7396 11244 15840 19834 24884
18 8230 6584 7218 0 5390 4080 2696 2720 4696 9720 15336 20624 25640 30832 39032 4938 4938 0 0 0 5080 24 1432 1544 4408 7648 10064 11728 16560 31888 1646
1646 1646 0 8 8 8 5576 5888 5224 5216 7200 10552 16392 31784 1646 0 0 0 0 0 4328 10912 10552 9616 11080 16048 23472 30432 38392
19 7812 5208 5208 7608 0 6816 4824 3204 3258 5598 11610 18432 24282 28692 35766 5208 2604 5208 0 0 0 6012 54 1728 1926 5364 8784 11052 15156 28692 4340
868 868 868 0 18 18 18 6570 7056 6372 6354 8640 14022 27702 5208 2604 0 0 0 0 0 5094 12816 12402 11520 13644 19152 25596 32832
20 6870 5496 4122 4580 7326 0 7500 4828 3230 3332 5746 11730 17850 21964 27030 5954 3206 1374 5954 0 0 0 5950 102 1802 2074 5270 8024 11492 21556 7328
4122 458 458 458 0 34 34 34 6562 7072 6290 6528 10200 20366 9618 9160 4122 0 0 0 0 0 4998 12580 12342 11900 14110 18360 24004
21 8400 6000 4560 3840 4800 7308 0 7584 4864 3328 3520 5952 11200 15360 19136 8160 3600 2400 720 6240 0 0 0 5888 192 1920 2240 4992 8192 15744 10080
5760 5040 240 240 240 0 64 64 64 6464 6656 6016 7872 15360 13440 11760 12000 5040 0 0 0 0 0 4928 12416 12480 12416 14336 18688
22 12772 9796 6076 3968 3596 4960 7462 0 7462 4960 3596 3968 6076 9796 12772 11408 5580 2604 2108 372 6076 0 0 0 6076 372 2108 2604 5580 11408 12400
6820 5952 6076 124 124 124 0 124 124 124 6076 5952 6820 12400 15996 12896 12772 12648 5084 0 0 0 0 0 5084 12648 12772 12896 15996
23 19136 15360 11200 5952 3520 3328 4864 7584 0 7308 4800 3840 4560 6000 8400 15744 8192 4992 2240 1920 192 5888 0 0 0 6240 720 2400 3600 8160 15360
7872 6016 6656 6464 64 64 64 0 240 240 240 5040 5760 10080 18688 14336 12416 12480 12416 4928 0 0 0 0 0 5040 12000 11760 13440
24 27030 21964 17850 11730 5746 3332 3230 4828 7500 0 7326 4580 4122 5496 6870 21556 11492 8024 5270 2074 1802 102 5950 0 0 0 5954 1374 3206 5954 20366
10200 6528 6290 7072 6562 34 34 34 0 458 458 458 4122 7328 24004 18360 14110 11900 12342 12580 4998 0 0 0 0 0 4122 9160 9618
25 35766 28692 24282 18432 11610 5598 3258 3204 4824 6816 0 7608 5208 5208 7812 28692 15156 11052 8784 5364 1926 1728 54 6012 0 0 0 5208 2604 5208 27702
14022 8640 6354 6372 7056 6570 18 18 18 0 868 868 868 4340 32832 25596 19152 13644 11520 12402 12816 5094 0 0 0 0 0 2604 5208
26 39032 30832 25640 20624 15336 9720 4696 2720 2696 4080 5390 0 7218 6584 8230 31888 16560 11728 10064 7648 4408 1544 1432 24 5080 0 0 0 4938 4938 31784
16392 10552 7200 5216 5224 5888 5576 8 8 8 0 1646 1646 1646 38392 30432 23472 16048 11080 9616 10552 10912 4328 0 0 0 0 0 1646
27 24278 19052 15322 12076 9598 7252 4642 2234 1282 1276 1940 4096 0 4564 6252 20084 10324 6996 5844 4908 3568 2048 718 676 6 2408 0 0 0 6252 20346
10598 7158 5158 3360 2362 2424 2800 2666 2 2 2 0 3126 3126 24884 19834 15840 11244 7396 5164 4564 5026 5188 2054 0 0 0 0 0
28 0 0 0 0 0 0 0 0 0 0 0 0 3888 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 5936 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 13312 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 8219 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2283 11264
30 11264 2283 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8219 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13312 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 5936 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3888 0 0 0 0 0 0 0 0 0 0 0 0
32 0 0 0 0 0 2054 5188 5026 4564 5164 7396 11244 15840 19834 24884 3126 3126 0 2 2 2 2666 2800 2424 2362 3360 5158 7158 10598 20346 6252
0 0 0 2408 6 676 718 2048 3568 4908 5844 6996 10324 20084 6252 4564 0 4096 1940 1276 1282 2234 4642 7252 9598 12076 15322 19052 24278
33 1646 0 0 0 0 0 4328 10912 10552 9616 11080 16048 23472 30432 38392 1646 1646 1646 0 8 8 8 5576 5888 5224 5216 7200 10552 16392 31784 4938
4938 0 0 0 5080 24 1432 1544 4408 7648 10064 11728 16560 31888 8230 6584 7218 0 5390 4080 2696 2720 4696 9720 15336 20624 25640 30832 39032
34 5208 2604 0 0 0 0 0 5094 12816 12402 11520 13644 19152 25596 32832 4340 868 868 868 0 18 18 18 6570 7056 6372 6354 8640 14022 27702 5208
2604 5208 0 0 0 6012 54 1728 1926 5364 8784 11052 15156 28692 7812 5208 5208 7608 0 6816 4824 3204 3258 5598 11610 18432 24282 28692 35766
35 9618 9160 4122 0 0 0 0 0 4998 12580 12342 11900 14110 18360 24004 7328 4122 458 458 458 0 34 34 34 6562 7072 6290 6528 10200 20366 5954
3206 1374 5954 0 0 0 5950 102 1802 2074 5270 8024 11492 21556 6870 5496 4122 4580 7326 0 7500 4828 3230 3332 5746 11730 17850 21964 27030
36 13440 11760 12000 5040 0 0 0 0 0 4928 12416 12480 12416 14336 18688 10080 5760 5040 240 240 240 0 64 64 64 6464 6656 6016 7872 15360 8160
3600 2400 720 6240 0 0 0 5888 192 1920 2240 4992 8192 15744 8400 6000 4560 3840 4800 7308 0 7584 4864 3328 3520 5952 11200 15360 19136
37 15996 12896 12772 12648 5084 0 0 0 0 0 5084 12648 12772 12896 15996 12400 6820 5952 6076 124 124 124 0 124 124 124 6076 5952 6820 12400 11408
5580 2604 2108 372 6076 0 0 0 6076 372 2108 2604 5580 11408 12772 9796 6076 3968 3596 4960 7462 0 7462 4960 3596 3968 6076 9796 12772
38 18688 14336 12416 12480 12416 4928 0 0 0 0 0 5040 12000 11760 13440 15360 7872 6016 6656 6464 64 64 64 0 240 240 240 5040 5760 10080 15744
8192 4992 2240 1920 192 5888 0 0 0 6240 720 2400 3600 8160 19136 15360 11200 5952 3520 3328 4864 7584 0 7308 4800 3840 4560 6000 8400
39 24004 18360 14110 11900 12342 12580 4998 0 0 0 0 0 4122 9160 9618 20366 10200 6528 6290 7072 6562 34 34 34 0 458 458 458 4122 7328 21556
11492 8024 5270 2074 1802 102 5950 0 0 0 5954 1374 3206 5954 27030 21964 17850 11730 5746 3332 3230 4828 7500 0 7326 4580 4122 5496 6870
40 32832 25596 19152 13644 11520 12402 12816 5094 0 0 0 0 0 2604 5208 27702 14022 8640 6354 6372 7056 6570 18 18 18 0 868 868 868 4340 28692
15156 11052 8784 5364 1926 1728 54 6012 0 0 0 5208 2604 5208 35766 28692 24282 18432 11610 5598 3258 3204 4824 6816 0 7608 5208 5208 7812
41 38392 30432 23472 16048 11080 9616 10552 10912 4328 0 0 0 0 0 1646 31784 16392 10552 7200 5216 5224 5888 5576 8 8 8 0 1646 1646 1646 31888
16560 11728 10064 7648 4408 1544 1432 24 5080 0 0 0 4938 4938 39032 30832 25640 20624 15336 9720 4696 2720 2696 4080 5390 0 7218 6584 8230
42 24884 19834 15840 11244 7396 5164 4564 5026 5188 2054 0 0 0 0 0 20346 10598 7158 5158 3360 2362 2424 2800 2666 2 2 2 0 3126 3126 20084
10324 6996 5844 4908 3568 2048 718 676 6 2408 0 0 0 6252 24278 19052 15322 12076 9598 7252 4642 2234 1282 1276 1940 4096 0 4564 6252
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 5936 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3888 0 0
44 0 0 0 0 0 0 0 0 0 0 0 0 0 2283 11264 0 0 0 0 0 0 0 0 0 0 0 0 0 8219 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13312 0
45 10948 6616 6618 8035 12711 21102 32230 43418 54917 70094 93798 130010 175829 220212 278175 15596 2 4 2289 6029 9544 15069 20751 26245 33724 45513 61097 79777 118409 228738 0
2 4098 9130 12041 11450 12089 16077 23697 34615 48396 63295 80221 118213 228521 0 0 20327 21421 22779 21509 26344 36462 51998 72233 98292 133266 176427 219610 277881
46 0 0 0 2281 6794 8360 6622 6114 8102 13096 20498 29388 38630 47068 59228 0 0 0 0 2406 6342 4018 2502 3060 5696 9840 14020 17584 25158 48242 13312
0 4566 4314 2 10 1352 4562 7196 8744 9934 12074 15954 24454 47632 0 0 0 14792 10 2064 3146 9932 14450 17068 19840 25768 35194 45148 57366
47 0 0 0 0 4808 12760 13726 11004 10408 14080 22678 35148 48536 59684 74678 0 0 0 0 0 5072 9998 6680 4390 5646 10210 16352 21994 31758 60650 7014
10902 0 7226 4552 8 30 2844 7766 11938 14554 16398 20012 30338 59350 16228 0 0 0 17994 30 4358 6622 16468 23392 28196 34070 43872 55708 71246
48 3694 2281 0 0 0 6963 16196 16248 13100 12602 17440 28014 41408 52674 65908 3694 0 0 0 0 0 6660 11504 7978 5544 7338 12458 18630 28120 53970 3694
3694 7790 0 7628 4220 20 66 3772 9494 14292 16770 18924 27332 53176 12244 19022 0 0 0 18534 66 5726 8666 19464 27648 34134 41264 50364 64356
49 10340 9496 4808 0 0 0 7968 16986 16810 13600 13420 18860 28910 38860 49260 8394 3892 0 0 0 0 0 6960 11870 8460 6150 8050 12910 21100 41310 6448
1946 4902 7336 0 7366 4464 40 130 4100 10050 14310 16310 22070 42100 8394 6448 20886 0 0 0 19670 130 6010 9090 20300 29180 35700 41450 52140
50 16662 15636 14890 6963 0 0 0 8131 16900 16848 13900 14284 19564 27184 35460 12240 7818 5130 0 0 0 0 0 6916 12172 8780 6588 8760 15168 30560 8844
3396 1026 5682 7842 0 7384 4832 76 252 4304 9844 13168 17584 32724 7500 6474 3396 21314 0 0 0 20908 252 6104 9220 20792 29132 33928 41576
51 20580 17004 18252 17226 7968 0 0 0 8100 16910 17072 14778 15654 20188 27016 15216 8772 9480 6480 0 0 0 0 0 7008 12346 8730 7266 11362 23066 12720
5736 1788 540 5436 8040 0 7608 4934 146 488 4480 9118 13460 25018 12552 8268 6648 1788 21300 0 0 0 21426 488 6474 9540 20188 26044 31700
52 22990 17454 16234 17828 17238 8131 0 0 0 8131 17238 17828 16234 17454 22990 18300 9478 8258 11538 7050 0 0 0 0 0 7050 11538 8258 9478 18300 18208
9386 4696 938 282 5034 7866 0 7866 5034 282 938 4696 9386 18208 21494 16896 9398 6860 938 21384 0 0 0 21384 938 6860 9398 16896 21494
53 27016 20188 15654 14778 17072 16910 8100 0 0 0 7968 17226 18252 17004 20580 23066 11362 7266 8730 12346 7008 0 0 0 0 0 6480 9480 8772 15216 25018
13460 9118 4480 488 146 4934 7608 0 8040 5436 540 1788 5736 12720 31700 26044 20188 9540 6474 488 21426 0 0 0 21300 1788 6648 8268 12552
54 35460 27184 19564 14284 13900 16848 16900 8131 0 0 0 6963 14890 15636 16662 30560 15168 8760 6588 8780 12172 6916 0 0 0 0 0 5130 7818 12240 32724
17584 13168 9844 4304 252 76 4832 7384 0 7842 5682 1026 3396 8844 41576 33928 29132 20792 9220 6104 252 20908 0 0 0 21314 3396 6474 7500
55 49260 38860 28910 18860 13420 13600 16810 16986 7968 0 0 0 4808 9496 10340 41310 21100 12910 8050 6150 8460 11870 6960 0 0 0 0 0 3892 8394 42100
22070 16310 14310 10050 4100 130 40 4464 7366 0 7336 4902 1946 6448 52140 41450 35700 29180 20300 9090 6010 130 19670 0 0 0 20886 6448 8394
56 65908 52674 41408 28014 17440 12602 13100 16248 16196 6963 0 0 0 2281 3694 53970 28120 18630 12458 7338 5544 7978 11504 6660 0 0 0 0 0 3694 53176
27332 18924 16770 14292 9494 3772 66 20 4220 7628 0 7790 3694 3694 64356 50364 41264 34134 27648 19464 8666 5726 66 18534 0 0 0 19022 12244
57 74678 59684 48536 35148 22678 14080 10408 11004 13726 12760 4808 0 0 0 0 60650 31758 21994 16352 10210 5646 4390 6680 9998 5072 0 0 0 0 0 59350
30338 20012 16398 14554 11938 7766 2844 30 8 4552 7226 0 10902 7014 71246 55708 43872 34070 28196 23392 16468 6622 4358 30 17994 0 0 0 16228
58 59228 47068 38630 29388 20498 13096 8102 6114 6622 8360 6794 2281 0 0 0 48242 25158 17584 14020 9840 5696 3060 2502 4018 6342 2406 0 0 0 0 47632
24454 15954 12074 9934 8744 7196 4562 1352 10 2 4314 4566 0 13312 57366 45148 35194 25768 19840 17068 14450 9932 3146 2064 10 14792 0 0 0
59 278175 220212 175829 130010 93798 70094 54917 43418 32230 21102 12711 8035 6618 6616 10948 228738 118409 79777 61097 45513 33724 26245 20751 15069 9544 6029 2289 4 2 15596 228521
118213 80221 63295 48396 34615 23697 16077 12089 11450 12041 9130 4098 2 0 277881 219610 176427 133266 98292 72233 51998 36462 26344 21509 22779 21421 20327 0 0
Sum of all rows = 4(3*0 + 2*2 + 1*4 + 1*2289 + 1*4098 + 1*6029 + 1*6616 + 1*6618 + 1*8035 + 1*9130 + 1*9544 + 1*10948 + 1*11450 + 1*12041 + 1*12089 + 1*12711 + 1*15069 + 1*15596 + 1*16077 + 1*20327 + 1*20751 +
1*21102 + 1*21421 + 1*21509 + 1*22779 + 1*23697 + 1*26245 + 1*26344 + 1*32230 + 1*33724 + 1*34615 + 1*36462 + 1*43418 + 1*45513 + 1*48396 + 1*51998 + 1*54917 + 1*61097 + 1*63295 + 1*70094 +
1*72233 + 1*79777 + 1*80221 + 1*93798 + 1*98292 + 1*118213 + 1*118409 + 1*130010 + 1*133266 + 1*175829 + 1*176427 + 1*219610 + 1*220212 + 1*228521 + 1*228738 + 1*277881 + 1*278175) +
4(11*0 + 1*2 + 2*10 + 1*1352 + 1*2064 + 1*2281 + 1*2406 + 1*2502 + 1*3060 + 1*3146 + 1*4018 + 1*4314 + 1*4562 + 1*4566 + 1*5696 + 1*6114 + 1*6342 + 1*6622 + 1*6794 + 1*7196 + 1*8102 + 1*8360 +
1*8744 + 1*9840 + 1*9932 + 1*9934 + 1*12074 + 1*13096 + 1*13312 + 1*14020 + 1*14450 + 1*14792 + 1*15954 + 1*17068 + 1*17584 + 1*19840 + 1*20498 + 1*24454 + 1*25158 + 1*25768 + 1*29388 +
1*35194 + 1*38630 + 1*45148 + 1*47068 + 1*47632 + 1*48242 + 1*57366 + 1*59228) +
4(13*0 + 1*8 + 2*30 + 1*2844 + 1*4358 + 1*4390 + 1*4552 + 1*4808 + 1*5072 + 1*5646 + 1*6622 + 1*6680 + 1*7014 + 1*7226 + 1*7766 + 1*9998 + 1*10210 + 1*10408 + 1*10902 + 1*11004 + 1*11938 +
1*12760 + 1*13726 + 1*14080 + 1*14554 + 1*16228 + 1*16352 + 1*16398 + 1*16468 + 1*17994 + 1*20012 + 1*21994 + 1*22678 + 1*23392 + 1*28196 + 1*30338 + 1*31758 + 1*34070 + 1*35148 + 1*43872 +
1*48536 + 1*55708 + 1*59350 + 1*59684 + 1*60650 + 1*71246 + 1*74678) +
4(12*0 + 1*20 + 2*66 + 1*2281 + 4*3694 + 1*3772 + 1*4220 + 1*5544 + 1*5726 + 1*6660 + 1*6963 + 1*7338 + 1*7628 + 1*7790 + 1*7978 + 1*8666 + 1*9494 + 1*11504 + 1*12244 + 1*12458 + 1*12602 +
1*13100 + 1*14292 + 1*16196 + 1*16248 + 1*16770 + 1*17440 + 1*18534 + 1*18630 + 1*18924 + 1*19022 + 1*19464 + 1*27332 + 1*27648 + 1*28014 + 1*28120 + 1*34134 + 1*41264 + 1*41408 + 1*50364 +
1*52674 + 1*53176 + 1*53970 + 1*64356 + 1*65908) +
4(12*0 + 1*40 + 2*130 + 1*1946 + 1*3892 + 1*4100 + 1*4464 + 1*4808 + 1*4902 + 1*6010 + 1*6150 + 2*6448 + 1*6960 + 1*7336 + 1*7366 + 1*7968 + 1*8050 + 1*8394 + 1*8394 + 1*8460 + 1*9090 + 1*9496 +
1*10050 + 1*10340 + 1*11870 + 1*12910 + 1*13420 + 1*13600 + 1*14310 + 1*16310 + 1*16810 + 1*16986 + 1*18860 + 1*19670 + 1*20300 + 1*20886 + 1*21100 + 1*22070 + 1*28910 + 1*29180 + 1*35700 +
1*38860 + 1*41310 + 1*41450 + 1*42100 + 1*49260 + 1*52140) +
4(12*0 + 1*76 + 2*252 + 1*1026 + 2*3396 + 1*4304 + 1*4832 + 1*5130 + 1*5682 + 1*6104 + 1*6474 + 1*6588 + 1*6916 + 1*6963 + 1*7384 + 1*7500 + 1*7818 + 1*7842 + 1*8131 + 1*8760 + 1*8780 + 1*8844 +
1*9220 + 1*9844 + 1*12172 + 1*12240 + 1*13168 + 1*13900 + 1*14284 + 1*14890 + 1*15168 + 1*15636 + 1*16662 + 1*16848 + 1*16900 + 1*17584 + 1*19564 + 1*20792 + 1*20908 + 1*21314 + 1*27184 +
1*29132 + 1*30560 + 1*32724 + 1*33928 + 1*35460 + 1*41576) +
4(12*0 + 1*146 + 2*488 + 1*540 + 2*1788 + 1*4480 + 1*4934 + 1*5436 + 1*5736 + 1*6474 + 1*6480 + 1*6648 + 1*7008 + 1*7266 + 1*7608 + 1*7968 + 1*8040 + 1*8100 + 1*8268 + 1*8730 + 1*8772 + 1*9118 +
1*9480 + 1*9540 + 1*11362 + 1*12346 + 1*12552 + 1*12720 + 1*13460 + 1*14778 + 1*15216 + 1*15654 + 1*16910 + 1*17004 + 1*17072 + 1*17226 + 1*18252 + 2*20188 + 1*20580 + 1*21300 + 1*21426 +
1*23066 + 1*25018 + 1*26044 + 1*27016 + 1*31700) +
2(12*0 + 2*282 + 4*938 + 2*4696 + 2*5034 + 2*6860 + 2*7050 + 2*7866 + 2*8131 + 2*8258 + 2*9386 + 2*9398 + 2*9478 + 2*11538 + 2*16234 + 2*16896 + 2*17238 + 2*17454 + 2*17828 + 2*18208 + 2*18300 +
2*21384 + 2*21494 + 2*22990) +
4(56*0 + 1*2283 + 1*8219 + 1*11264 + 1*13312) +
4(58*0 + 1*3888 + 1*5936) +
4(10*0 + 3*2 + 1*6 + 1*676 + 1*718 + 1*1276 + 1*1282 + 1*1940 + 1*2048 + 1*2054 + 1*2234 + 1*2362 + 1*2408 + 1*2424 + 1*2666 + 1*2800 + 2*3126 + 1*3360 + 1*3568 + 1*4096 + 2*4564 + 1*4642 +
1*4908 + 1*5026 + 1*5158 + 1*5164 + 1*5188 + 1*5844 + 2*6252 + 1*6996 + 1*7158 + 1*7252 + 1*7396 + 1*9598 + 1*10324 + 1*10598 + 1*11244 + 1*12076 + 1*15322 + 1*15840 + 1*19052 + 1*19834 +
1*20084 + 1*20346 + 1*24278 + 1*24884) +
4(10*0 + 3*8 + 1*24 + 1*1432 + 1*1544 + 4*1646 + 1*2696 + 1*2720 + 1*4080 + 1*4328 + 1*4408 + 1*4696 + 2*4938 + 1*5080 + 1*5216 + 1*5224 + 1*5390 + 1*5576 + 1*5888 + 1*6584 + 1*7200 + 1*7218 +
1*7648 + 1*8230 + 1*9616 + 1*9720 + 1*10064 + 2*10552 + 1*10912 + 1*11080 + 1*11728 + 1*15336 + 1*16048 + 1*16392 + 1*16560 + 1*20624 + 1*23472 + 1*25640 + 1*30432 + 1*30832 + 1*31784 +
1*31888 + 1*38392 + 1*39032) +
4(10*0 + 3*18 + 1*54 + 3*868 + 1*1728 + 1*1926 + 2*2604 + 1*3204 + 1*3258 + 1*4340 + 1*4824 + 1*5094 + 5*5208 + 1*5364 + 1*5598 + 1*6012 + 1*6354 + 1*6372 + 1*6570 + 1*6816 + 1*7056 + 1*7608 +
1*7812 + 1*8640 + 1*8784 + 1*11052 + 1*11520 + 1*11610 + 1*12402 + 1*12816 + 1*13644 + 1*14022 + 1*15156 + 1*18432 + 1*19152 + 1*24282 + 1*25596 + 1*27702 + 1*28692 + 1*28692 + 1*32832 +
1*35766) +
4(10*0 + 3*34 + 1*102 + 3*458 + 1*1374 + 1*1802 + 1*2074 + 1*3206 + 1*3230 + 1*3332 + 3*4122 + 1*4580 + 1*4828 + 1*4998 + 1*5270 + 1*5496 + 1*5746 + 1*5950 + 2*5954 + 1*6290 + 1*6528 + 1*6562 +
1*6870 + 1*7072 + 1*7326 + 1*7328 + 1*7500 + 1*8024 + 1*9160 + 1*9618 + 1*10200 + 1*11492 + 1*11730 + 1*11900 + 1*12342 + 1*12580 + 1*14110 + 1*17850 + 1*18360 + 1*20366 + 1*21556 + 1*21964 +
1*24004 + 1*27030) +
4(10*0 + 3*64 + 1*192 + 3*240 + 1*720 + 1*1920 + 1*2240 + 1*2400 + 1*3328 + 1*3520 + 1*3600 + 1*3840 + 1*4560 + 1*4800 + 1*4864 + 1*4928 + 1*4992 + 2*5040 + 1*5760 + 1*5888 + 1*5952 + 1*6000 +
1*6016 + 1*6240 + 1*6464 + 1*6656 + 1*7308 + 1*7584 + 1*7872 + 1*8160 + 1*8192 + 1*8400 + 1*10080 + 1*11200 + 1*11760 + 1*12000 + 2*12416 + 1*12480 + 1*13440 + 1*14336 + 2*15360 + 1*15744 +
1*18688 + 1*19136) +
2(10*0 + 6*124 + 2*372 + 2*2108 + 2*2604 + 2*3596 + 2*3968 + 2*4960 + 2*5084 + 2*5580 + 2*5952 + 6*6076 + 2*6820 + 2*7462 + 2*9796 + 2*11408 + 2*12400 + 2*12648 + 4*12772 + 2*12896 + 2*15996) +
= 14671576 + 3135732 + 3965504 + 3619136 + 2997536 + 2552432 + 2305608 + 1111516 + 140312 + 39296 + 1368080 + 2129288 + 1938752 + 1582000 + 1391216 + 671176
= 43619160
Value repetition frequencies = 4(55*1 + 1*2 + 1*3) +
4(47*1 + 1*2 + 1*11) +
4(45*1 + 1*2 + 1*13) +
4(42*1 + 1*2 + 1*4 + 1*12) +
4(44*1 + 2*2 + 1*12) +
4(44*1 + 2*2 + 1*12) +
4(42*1 + 3*2 + 1*12) +
2(22*2 + 1*4 + 1*12) +
4(4*1 + 1*56) +
4(2*1 + 1*58) +
4(41*1 + 3*2 + 1*3 + 1*10) +
4(39*1 + 2*2 + 1*3 + 1*4 + 1*10) +
4(35*1 + 2*2 + 2*3 + 1*5 + 1*10) +
4(39*1 + 1*2 + 3*3 + 1*10) +
4(38*1 + 3*2 + 2*3 + 1*10) +
2(17*2 + 1*4 + 2*6 + 1*10)
= 3600
Number of distinct row element sets = 16
Number of rows = 2*2 + 14*4
= 60
Number of distinct values = 576
Distinct values 0 2 4 6 8 10 18 20 24 30 34 40 54 64 66 76 102 124 130 146
Frequency 1000 24 4 4 16 8 12 4 4 8 12 4 4 12 8 4 4 12 8 4
Distinct values 192 240 252 282 372 458 488 540 676 718 720 868 938 1026 1276 1282 1352 1374 1432 1544
Frequency 4 12 8 4 4 12 8 4 4 4 4 12 8 4 4 4 4 4 4 4
Distinct values 1646 1728 1788 1802 1920 1926 1940 1946 2048 2054 2064 2074 2108 2234 2240 2281 2283 2289 2362 2400
Frequency 16 4 8 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4 4
Distinct values 2406 2408 2424 2502 2604 2666 2696 2720 2800 2844 3060 3126 3146 3204 3206 3230 3258 3328 3332 3360
Frequency 4 4 4 4 12 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4
Distinct values 3396 3520 3568 3596 3600 3694 3772 3840 3888 3892 3968 4018 4080 4096 4098 4100 4122 4220 4304 4314
Frequency 8 4 4 4 4 16 4 4 4 4 4 4 4 4 4 4 12 4 4 4
Distinct values 4328 4340 4358 4390 4408 4464 4480 4552 4560 4562 4564 4566 4580 4642 4696 4800 4808 4824 4828 4832
Frequency 4 4 4 4 4 4 4 4 4 4 8 4 4 4 8 4 8 4 4 4
Distinct values 4864 4902 4908 4928 4934 4938 4960 4992 4998 5026 5034 5040 5072 5080 5084 5094 5130 5158 5164 5188
Frequency 4 4 4 4 4 8 4 4 4 4 4 8 4 4 4 4 4 4 4 4
Distinct values 5208 5216 5224 5270 5364 5390 5436 5496 5544 5576 5580 5598 5646 5682 5696 5726 5736 5746 5760 5844
Frequency 20 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 5888 5936 5950 5952 5954 6000 6010 6012 6016 6029 6076 6104 6114 6150 6240 6252 6290 6342 6354 6372
Frequency 8 4 4 8 8 4 4 4 4 4 12 4 4 4 4 8 4 4 4 4
Distinct values 6448 6464 6474 6480 6528 6562 6570 6584 6588 6616 6618 6622 6648 6656 6660 6680 6794 6816 6820 6860
Frequency 8 4 8 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4
Distinct values 6870 6916 6960 6963 6996 7008 7014 7050 7056 7072 7158 7196 7200 7218 7226 7252 7266 7308 7326 7328
Frequency 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 7336 7338 7366 7384 7396 7462 7500 7584 7608 7628 7648 7766 7790 7812 7818 7842 7866 7872 7968 7978
Frequency 4 4 4 4 4 4 8 4 8 4 4 4 4 4 4 4 4 4 8 4
Distinct values 8024 8035 8040 8050 8100 8102 8131 8160 8192 8219 8230 8258 8268 8360 8394 8400 8460 8640 8666 8730
Frequency 4 4 4 4 4 4 8 4 4 4 4 4 4 4 8 4 4 4 4 4
Distinct values 8744 8760 8772 8780 8784 8844 9090 9118 9130 9160 9220 9386 9398 9478 9480 9494 9496 9540 9544 9598
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 9616 9618 9720 9796 9840 9844 9932 9934 9998 10050 10064 10080 10200 10210 10324 10340 10408 10552 10598 10902
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4
Distinct values 10912 10948 11004 11052 11080 11200 11244 11264 11362 11408 11450 11492 11504 11520 11538 11610 11728 11730 11760 11870
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 11900 11938 12000 12041 12074 12076 12089 12172 12240 12244 12342 12346 12400 12402 12416 12458 12480 12552 12580 12602
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4 4 4
Distinct values 12648 12711 12720 12760 12772 12816 12896 12910 13096 13100 13168 13312 13420 13440 13460 13600 13644 13726 13900 14020
Frequency 4 4 4 4 8 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4
Distinct values 14022 14080 14110 14284 14292 14310 14336 14450 14554 14778 14792 14890 15069 15156 15168 15216 15322 15336 15360 15596
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 4
Distinct values 15636 15654 15744 15840 15954 15996 16048 16077 16196 16228 16234 16248 16310 16352 16392 16398 16468 16560 16662 16770
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 16810 16848 16896 16900 16910 16986 17004 17068 17072 17226 17238 17440 17454 17584 17828 17850 17994 18208 18252 18300
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4
Distinct values 18360 18432 18534 18630 18688 18860 18924 19022 19052 19136 19152 19464 19564 19670 19834 19840 20012 20084 20188 20300
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 4
Distinct values 20327 20346 20366 20498 20580 20624 20751 20792 20886 20908 21100 21102 21300 21314 21384 21421 21426 21494 21509 21556
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 21964 21994 22070 22678 22779 22990 23066 23392 23472 23697 24004 24278 24282 24454 24884 25018 25158 25596 25640 25768
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 26044 26245 26344 27016 27030 27184 27332 27648 27702 28014 28120 28196 28692 28910 29132 29180 29388 30338 30432 30560
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4
Distinct values 30832 31700 31758 31784 31888 32230 32724 32832 33724 33928 34070 34134 34615 35148 35194 35460 35700 35766 36462 38392
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 38630 38860 39032 41264 41310 41408 41450 41576 42100 43418 43872 45148 45513 47068 47632 48242 48396 48536 49260 50364
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 51998 52140 52674 53176 53970 54917 55708 57366 59228 59350 59684 60650 61097 63295 64356 65908 70094 71246 72233 74678
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 79777 80221 93798 98292 118213 118409 130010 133266 175829 176427 219610 220212 228521 228738 277881 278175
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Sum of distinct value frequencies = 523*4 + 37*8 + 10*12 + 3*16 + 1*20 + 1*24 + 1*1000
= 3600
Number of SN-EN pairs for which the number of CNSAPs is greater than zero = 4*2 + 4*4 + 4*47 + 18*48 + 4*49 + 22*50 + 4*57
= 2600
Number of SN-EN pairs, with SN != EN, for which the number of CNSAPs equals zero = 940
Number of possible SN-EN pairs with SN != EN = 59*60
= 3540
a = 16, b = 4
L C
3 8
4 16
5 40
6 80
7 196
8 280
9 676
10 1032
11 2904
12 4076
13 9940
14 14436
15 30920
16 48664
17 93956
18 155332
19 285444
20 479992
21 850428
22 1380724
23 2233848
24 3270308
25 4640272
26 5914640
27 7456600
28 8672536
29 9774476
30 10055496
31 10471712
32 9575644
33 9085408
34 7433968
35 6744956
36 4600796
37 4113912
38 2161536
39 2002084
40 644748
41 328440
42 52528
43 2928
44 80
Total 112596060
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
L
3 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 2 0
0 2 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
4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 2 0 0 0 0 0 0 0 0 0 0 2 2 0
0 2 2 0 0 0 0 0 0 0 0 0 0 2 2 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 0 2 1 0 0 0 0 0 0 0 0 0 0 1 2 0
1 0 4 2 0 0 0 0 0 0 0 0 2 4 0 1
1 0 4 2 0 0 0 0 0 0 0 0 2 4 0 1
0 2 1 0 0 0 0 0 0 0 0 0 0 1 2 0
6 3 0 6 3 0 0 0 0 0 0 0 0 3 6 0 3
0 0 0 6 2 0 0 0 0 0 0 2 6 0 0 0
0 0 0 6 2 0 0 0 0 0 0 2 6 0 0 0
3 0 6 3 0 0 0 0 0 0 0 0 3 6 0 3
7 0 3 1 12 5 0 0 0 0 0 0 5 12 1 3 0
2 2 2 4 10 4 2 2 2 2 4 10 4 2 2 2
2 2 2 4 10 4 2 2 2 2 4 10 4 2 2 2
0 3 1 12 5 0 0 0 0 0 0 5 12 1 3 0
8 3 1 2 3 20 7 0 0 0 0 7 20 3 2 1 3
1 1 1 4 9 12 4 2 2 4 12 9 4 1 1 1
1 1 1 4 9 12 4 2 2 4 12 9 4 1 1 1
3 1 2 3 20 7 0 0 0 0 7 20 3 2 1 3
9 4 6 5 6 13 34 13 4 4 13 34 13 6 5 6 4
6 4 4 7 15 22 18 8 8 18 22 15 7 4 4 6
6 4 4 7 15 22 18 8 8 18 22 15 7 4 4 6
4 6 5 6 13 34 13 4 4 13 34 13 6 5 6 4
10 6 4 5 10 9 27 48 17 17 48 27 9 10 5 4 6
4 4 4 6 18 35 37 24 24 37 35 18 6 4 4 4
4 4 4 6 18 35 37 24 24 37 35 18 6 4 4 4
6 4 5 10 9 27 48 17 17 48 27 9 10 5 4 6
11 19 24 26 29 47 44 74 101 101 74 44 47 29 26 24 19
20 18 17 28 30 63 94 92 92 94 63 30 28 17 18 20
20 18 17 28 30 63 94 92 92 94 63 30 28 17 18 20
19 24 26 29 47 44 74 101 101 74 44 47 29 26 24 19
12 21 20 23 36 39 84 95 186 186 95 84 39 36 23 20 21
18 18 18 19 37 45 137 223 223 137 45 37 19 18 18 18
18 18 18 19 37 45 137 223 223 137 45 37 19 18 18 18
21 20 23 36 39 84 95 186 186 95 84 39 36 23 20 21
13 50 73 84 93 133 155 333 363 363 333 155 133 93 84 73 50
62 60 57 65 89 136 234 498 498 234 136 89 65 57 60 62
62 60 57 65 89 136 234 498 498 234 136 89 65 57 60 62
50 73 84 93 133 155 333 363 363 333 155 133 93 84 73 50
14 73 69 79 106 121 276 390 657 657 390 276 121 106 79 69 73
80 81 85 86 114 252 514 626 626 514 252 114 86 85 81 80
80 81 85 86 114 252 514 626 626 514 252 114 86 85 81 80
73 69 79 106 121 276 390 657 657 390 276 121 106 79 69 73
15 150 191 228 275 458 654 932 1121 1121 932 654 458 275 228 191 150
195 198 193 233 370 765 1004 763 763 1004 765 370 233 193 198 195
195 198 193 233 370 765 1004 763 763 1004 765 370 233 193 198 195
150 191 228 275 458 654 932 1121 1121 932 654 458 275 228 191 150
16 266 272 316 497 759 1277 1645 1092 1092 1645 1277 759 497 316 272 266
294 302 343 515 1051 1458 1158 921 921 1158 1458 1051 515 343 302 294
294 302 343 515 1051 1458 1158 921 921 1158 1458 1051 515 343 302 294
266 272 316 497 759 1277 1645 1092 1092 1645 1277 759 497 316 272 266
17 513 631 839 1312 2252 2923 2106 1716 1716 2106 2923 2252 1312 839 631 513
597 642 842 1615 2460 2223 1609 1209 1209 1609 2223 2460 1615 842 642 597
597 642 842 1615 2460 2223 1609 1209 1209 1609 2223 2460 1615 842 642 597
513 631 839 1312 2252 2923 2106 1716 1716 2106 2923 2252 1312 839 631 513
18 965 1216 1840 3291 4635 3471 2267 2269 2269 2267 3471 4635 3291 1840 1216 965
1008 1284 2322 3860 4106 3148 1962 1189 1189 1962 3148 4106 3860 2322 1284 1008
1008 1284 2322 3860 4106 3148 1962 1189 1189 1962 3148 4106 3860 2322 1284 1008
965 1216 1840 3291 4635 3471 2267 2269 2269 2267 3471 4635 3291 1840 1216 965
19 1973 3000 5297 8011 6915 4718 4184 3218 3218 4184 4718 6915 8011 5297 3000 1973
2200 3604 6109 7453 6600 4404 2138 1537 1537 2138 4404 6600 7453 6109 3604 2200
2200 3604 6109 7453 6600 4404 2138 1537 1537 2138 4404 6600 7453 6109 3604 2200
1973 3000 5297 8011 6915 4718 4184 3218 3218 4184 4718 6915 8011 5297 3000 1973
20 4416 7972 12814 12287 8866 7407 4571 3595 3595 4571 7407 8866 12287 12814 7972 4416
5391 9356 12751 12860 9236 4402 2645 1429 1429 2645 4402 9236 12860 12751 9356 5391
5391 9356 12751 12860 9236 4402 2645 1429 1429 2645 4402 9236 12860 12751 9356 5391
4416 7972 12814 12287 8866 7407 4571 3595 3595 4571 7407 8866 12287 12814 7972 4416
21 12056 20647 22461 18584 15714 9468 6995 5493 5493 6995 9468 15714 18584 22461 20647 12056
14532 21598 24473 19369 10063 5896 3251 2007 2007 3251 5896 10063 19369 24473 21598 14532
14532 21598 24473 19369 10063 5896 3251 2007 2007 3251 5896 10063 19369 24473 21598 14532
12056 20647 22461 18584 15714 9468 6995 5493 5493 6995 9468 15714 18584 22461 20647 12056
22 31467 38684 36121 30948 18001 11806 7817 6129 6129 7817 11806 18001 30948 36121 38684 31467
34902 44115 38621 22041 12404 6647 3263 2215 2215 3263 6647 12404 22041 38621 44115 34902
34902 44115 38621 22041 12404 6647 3263 2215 2215 3263 6647 12404 22041 38621 44115 34902
31467 38684 36121 30948 18001 11806 7817 6129 6129 7817 11806 18001 30948 36121 38684 31467
23 64433 69013 62550 38731 24995 17065 12132 9832 9832 12132 17065 24995 38731 62550 69013 64433
76769 75140 48389 28015 15571 7596 4487 3744 3744 4487 7596 15571 28015 48389 75140 76769
76769 75140 48389 28015 15571 7596 4487 3744 3744 4487 7596 15571 28015 48389 75140 76769
64433 69013 62550 38731 24995 17065 12132 9832 9832 12132 17065 24995 38731 62550 69013 64433
24 121577 120257 79131 49346 33419 20599 13298 10584 10584 13298 20599 33419 49346 79131 120257 121577
138190 101221 61649 34616 16090 8033 5285 4282 4282 5285 8033 16090 34616 61649 101221 138190
138190 101221 61649 34616 16090 8033 5285 4282 4282 5285 8033 16090 34616 61649 101221 138190
121577 120257 79131 49346 33419 20599 13298 10584 10584 13298 20599 33419 49346 79131 120257 121577
25 216396 159393 102796 72923 45035 28876 20967 17125 17125 20967 28876 45035 72923 102796 159393 216396
200567 134670 78560 37584 19087 11132 7956 7001 7001 7956 11132 19087 37584 78560 134670 200567
200567 134670 78560 37584 19087 11132 7956 7001 7001 7956 11132 19087 37584 78560 134670 200567
216396 159393 102796 72923 45035 28876 20967 17125 17125 20967 28876 45035 72923 102796 159393 216396
26 285573 200940 148290 90424 55649 35049 23157 17814 17814 23157 35049 55649 90424 148290 200940 285573
272128 170453 84191 42488 21700 12832 9812 8160 8160 9812 12832 21700 42488 84191 170453 272128
272128 170453 84191 42488 21700 12832 9812 8160 8160 9812 12832 21700 42488 84191 170453 272128
285573 200940 148290 90424 55649 35049 23157 17814 17814 23157 35049 55649 90424 148290 200940 285573
27 341072 281573 182975 118025 75457 50164 35164 28755 28755 35164 50164 75457 118025 182975 281573 341072
349521 182330 95710 48932 27598 20004 14325 12545 12545 14325 20004 27598 48932 95710 182330 349521
349521 182330 95710 48932 27598 20004 14325 12545 12545 14325 20004 27598 48932 95710 182330 349521
341072 281573 182975 118025 75457 50164 35164 28755 28755 35164 50164 75457 118025 182975 281573 341072
28 458886 309999 216269 143170 93164 58937 39204 30003 30003 39204 58937 93164 143170 216269 309999 458886
372197 198773 101485 53688 36021 23908 18127 14303 14303 18127 23908 36021 53688 101485 198773 372197
372197 198773 101485 53688 36021 23908 18127 14303 14303 18127 23908 36021 53688 101485 198773 372197
458886 309999 216269 143170 93164 58937 39204 30003 30003 39204 58937 93164 143170 216269 309999 458886
29 481733 342892 241651 175573 120155 81405 58238 47165 47165 58238 81405 120155 175573 241651 342892 481733
395471 203821 100267 66580 47366 35069 25214 21019 21019 25214 35069 47366 66580 100267 203821 395471
395471 203821 100267 66580 47366 35069 25214 21019 21019 25214 35069 47366 66580 100267 203821 395471
481733 342892 241651 175573 120155 81405 58238 47165 47165 58238 81405 120155 175573 241651 342892 481733
30 454417 359208 265866 183401 132095 91146 63123 50896 50896 63123 91146 132095 183401 265866 359208 454417
417115 173345 96734 74125 57314 41025 30565 23499 23499 30565 41025 57314 74125 96734 173345 417115
417115 173345 96734 74125 57314 41025 30565 23499 23499 30565 41025 57314 74125 96734 173345 417115
454417 359208 265866 183401 132095 91146 63123 50896 50896 63123 91146 132095 183401 265866 359208 454417
31 489118 325866 272106 208923 148565 113138 90115 75326 75326 90115 113138 148565 208923 272106 325866 489118
367500 157538 99212 76542 68278 53589 38659 33453 33453 38659 53589 68278 76542 99212 157538 367500
367500 157538 99212 76542 68278 53589 38659 33453 33453 38659 53589 68278 76542 99212 157538 367500
489118 325866 272106 208923 148565 113138 90115 75326 75326 90115 113138 148565 208923 272106 325866 489118
32 419498 316198 239947 198916 148872 109059 86922 79698 79698 86922 109059 148872 198916 239947 316198 419498
297806 125218 88546 84491 64992 55314 44116 34318 34318 44116 55314 64992 84491 88546 125218 297806
297806 125218 88546 84491 64992 55314 44116 34318 34318 44116 55314 64992 84491 88546 125218 297806
419498 316198 239947 198916 148872 109059 86922 79698 79698 86922 109059 148872 198916 239947 316198 419498
33 320280 277544 250939 185997 156599 131165 112874 102908 102908 112874 131165 156599 185997 250939 277544 320280
242329 96419 77393 85748 78077 57111 49957 46012 46012 49957 57111 78077 85748 77393 96419 242329
242329 96419 77393 85748 78077 57111 49957 46012 46012 49957 57111 78077 85748 77393 96419 242329
320280 277544 250939 185997 156599 131165 112874 102908 102908 112874 131165 156599 185997 250939 277544 320280
34 254608 206794 202114 173431 126495 106491 100610 92296 92296 100610 106491 126495 173431 202114 206794 254608
169019 67074 70905 70346 71530 59494 44802 42483 42483 44802 59494 71530 70346 70905 67074 169019
169019 67074 70905 70346 71530 59494 44802 42483 42483 44802 59494 71530 70346 70905 67074 169019
254608 206794 202114 173431 126495 106491 100610 92296 92296 100610 106491 126495 173431 202114 206794 254608
35 183797 171088 164944 151706 141535 121592 104110 115724 115724 104110 121592 141535 151706 164944 171088 183797
120275 50750 61306 76306 62699 59890 54380 46137 46137 54380 59890 62699 76306 61306 50750 120275
120275 50750 61306 76306 62699 59890 54380 46137 46137 54380 59890 62699 76306 61306 50750 120275
183797 171088 164944 151706 141535 121592 104110 115724 115724 104110 121592 141535 151706 164944 171088 183797
36 117418 109266 112004 101508 85000 84954 90753 76653 76653 90753 84954 85000 101508 112004 109266 117418
71874 24971 40757 55020 58302 42680 36303 42736 42736 36303 42680 58302 55020 40757 24971 71874
71874 24971 40757 55020 58302 42680 36303 42736 42736 36303 42680 58302 55020 40757 24971 71874
117418 109266 112004 101508 85000 84954 90753 76653 76653 90753 84954 85000 101508 112004 109266 117418
37 79162 86919 95764 85433 86845 83382 88560 98057 98057 88560 83382 86845 85433 95764 86919 79162
54817 26316 32760 45862 42433 40296 43182 38690 38690 43182 40296 42433 45862 32760 26316 54817
54817 26316 32760 45862 42433 40296 43182 38690 38690 43182 40296 42433 45862 32760 26316 54817
79162 86919 95764 85433 86845 83382 88560 98057 98057 88560 83382 86845 85433 95764 86919 79162
38 46147 42609 43709 45595 35694 41614 50261 56382 56382 50261 41614 35694 45595 43709 42609 46147
22171 6115 21281 27052 25456 22576 24332 29390 29390 24332 22576 25456 27052 21281 6115 22171
22171 6115 21281 27052 25456 22576 24332 29390 29390 24332 22576 25456 27052 21281 6115 22171
46147 42609 43709 45595 35694 41614 50261 56382 56382 50261 41614 35694 45595 43709 42609 46147
39 31322 39469 47646 39880 36827 42290 49568 55134 55134 49568 42290 36827 39880 47646 39469 31322
27973 9766 14978 22852 19032 18988 20674 24122 24122 20674 18988 19032 22852 14978 9766 27973
27973 9766 14978 22852 19032 18988 20674 24122 24122 20674 18988 19032 22852 14978 9766 27973
31322 39469 47646 39880 36827 42290 49568 55134 55134 49568 42290 36827 39880 47646 39469 31322
40 12926 9508 8059 8946 12394 16870 16478 13748 13748 16478 16870 12394 8946 8059 9508 12926
1700 1104 9316 10166 8250 8174 10780 12768 12768 10780 8174 8250 10166 9316 1104 1700
1700 1104 9316 10166 8250 8174 10780 12768 12768 10780 8174 8250 10166 9316 1104 1700
12926 9508 8059 8946 12394 16870 16478 13748 13748 16478 16870 12394 8946 8059 9508 12926
41 4822 8024 7556 4184 6464 9442 9214 6358 6358 9214 9442 6464 4184 7556 8024 4822
4770 1200 3404 3598 3038 3162 3470 3404 3404 3470 3162 3038 3598 3404 1200 4770
4770 1200 3404 3598 3038 3162 3470 3404 3404 3470 3162 3038 3598 3404 1200 4770
4822 8024 7556 4184 6464 9442 9214 6358 6358 9214 9442 6464 4184 7556 8024 4822
42 732 416 1014 906 1284 1554 1404 1266 1266 1404 1554 1284 906 1014 416 732
4 6 1072 500 388 998 1130 458 458 1130 998 388 500 1072 6 4
4 6 1072 500 388 998 1130 458 458 1130 998 388 500 1072 6 4
732 416 1014 906 1284 1554 1404 1266 1266 1404 1554 1284 906 1014 416 732
43 40 92 26 8 132 58 8 84 84 8 58 132 8 26 92 40
38 4 52 52 18 40 52 28 28 52 40 18 52 52 4 38
38 4 52 52 18 40 52 28 28 52 40 18 52 52 4 38
40 92 26 8 132 58 8 84 84 8 58 132 8 26 92 40
44 0 2 4 0 4 4 0 4 4 0 4 4 0 4 2 0
0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0
0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0
0 2 4 0 4 4 0 4 4 0 4 4 0 4 2 0
Total 4435942 3509885 2825508 2152529 1624666 1287205 1097630 1011773 1011773 1097630 1287205 1624666 2152529 2825508 3509885 4435942
3661547 1887525 1273815 1012736 789856 611423 505678 461297 461297 505678 611423 789856 1012736 1273815 1887525 3661547
3661547 1887525 1273815 1012736 789856 611423 505678 461297 461297 505678 611423 789856 1012736 1273815 1887525 3661547
4435942 3509885 2825508 2152529 1624666 1287205 1097630 1011773 1011773 1097630 1287205 1624666 2152529 2825508 3509885 4435942
Grand total = 4*461297 + 4*505678 + 4*611423 + 4*789856 + 4*1011773 + 4*1012736 + 4*1097630 + 4*1273815 + 4*1287205 + 4*1624666 + 4*1887525 + 4*2152529 + 4*2825508 + 4*3509885 + 4*3661547 + 4*4435942
= 112596060
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
L
3 2 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 0 0 0 0 0 0 0
2 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 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 0 0 0 0 0 0
4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
5 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10
6 20 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
20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 20
7 33 2 2 2 2 2 2 2 2 2 2 2 2 2 2 33
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
33 2 2 2 2 2 2 2 2 2 2 2 2 2 2 33
8 56 1 2 2 2 2 2 2 2 2 2 2 2 2 1 56
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
56 1 2 2 2 2 2 2 2 2 2 2 2 2 1 56
9 99 6 9 10 10 10 10 10 10 10 10 10 10 9 6 99
5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5
5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5
99 6 9 10 10 10 10 10 10 10 10 10 10 9 6 99
10 173 6 9 13 14 14 14 14 14 14 14 14 13 9 6 173
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
173 6 9 13 14 14 14 14 14 14 14 14 13 9 6 173
11 331 24 42 47 53 54 54 54 54 54 54 53 47 42 24 331
15 4 8 8 8 8 8 8 8 8 8 8 8 8 4 15
15 4 8 8 8 8 8 8 8 8 8 8 8 8 4 15
331 24 42 47 53 54 54 54 54 54 54 53 47 42 24 331
12 606 24 40 54 61 69 70 70 70 70 69 61 54 40 24 606
1 0 4 4 4 4 4 4 4 4 4 4 4 4 0 1
1 0 4 4 4 4 4 4 4 4 4 4 4 4 0 1
606 24 40 54 61 69 70 70 70 70 69 61 54 40 24 606
13 1155 66 114 152 173 187 197 198 198 197 187 173 152 114 66 1155
29 10 24 36 36 36 36 36 36 36 36 36 36 24 10 29
29 10 24 36 36 36 36 36 36 36 36 36 36 24 10 29
1155 66 114 152 173 187 197 198 198 197 187 173 152 114 66 1155
14 2100 71 125 168 193 223 247 259 259 247 223 193 168 125 71 2100
1 0 24 38 40 40 40 40 40 40 40 40 38 24 0 1
1 0 24 38 40 40 40 40 40 40 40 40 38 24 0 1
2100 71 125 168 193 223 247 259 259 247 223 193 168 125 71 2100
15 3861 183 301 387 486 541 592 628 628 592 541 486 387 301 183 3861
47 16 60 102 130 132 132 132 132 132 132 130 102 60 16 47
47 16 60 102 130 132 132 132 132 132 132 130 102 60 16 47
3861 183 301 387 486 541 592 628 628 592 541 486 387 301 183 3861
16 6960 267 412 533 622 716 816 887 887 816 716 622 533 412 267 6960
3 0 66 136 174 190 192 192 192 192 190 174 136 66 0 3
3 0 66 136 174 190 192 192 192 192 190 174 136 66 0 3
6960 267 412 533 622 716 816 887 887 816 716 622 533 412 267 6960
17 12647 567 876 1074 1279 1496 1654 1765 1765 1654 1496 1279 1074 876 567 12647
71 22 128 264 350 418 438 440 440 438 418 350 264 128 22 71
71 22 128 264 350 418 438 440 440 438 418 350 264 128 22 71
12647 567 876 1074 1279 1496 1654 1765 1765 1654 1496 1279 1074 876 567 12647
18 22895 933 1408 1702 1922 2155 2364 2461 2461 2364 2155 1922 1702 1408 933 22895
7 0 166 350 506 600 670 694 694 670 600 506 350 166 0 7
7 0 166 350 506 600 670 694 694 670 600 506 350 166 0 7
22895 933 1408 1702 1922 2155 2364 2461 2461 2364 2155 1922 1702 1408 933 22895
19 41662 1786 2753 3261 3676 4010 4185 4219 4219 4185 4010 3676 3261 2753 1786 41662
115 32 324 646 902 1120 1286 1384 1384 1286 1120 902 646 324 32 115
115 32 324 646 902 1120 1286 1384 1384 1286 1120 902 646 324 32 115
41662 1786 2753 3261 3676 4010 4185 4219 4219 4185 4010 3676 3261 2753 1786 41662
20 75211 3035 4657 5489 5856 5910 5722 5499 5499 5722 5910 5856 5489 4657 3035 75211
13 0 498 970 1346 1662 1966 2164 2164 1966 1662 1346 970 498 0 13
13 0 498 970 1346 1662 1966 2164 2164 1966 1662 1346 970 498 0 13
75211 3035 4657 5489 5856 5910 5722 5499 5499 5722 5910 5856 5489 4657 3035 75211
21 133434 5662 8730 10155 10496 10020 9273 8750 8750 9273 10020 10496 10155 8730 5662 133434
203 56 1000 1878 2464 3036 3544 3906 3906 3544 3036 2464 1878 1000 56 203
203 56 1000 1878 2464 3036 3544 3906 3906 3544 3036 2464 1878 1000 56 203
133434 5662 8730 10155 10496 10020 9273 8750 8750 9273 10020 10496 10155 8730 5662 133434
22 225879 9888 14985 16891 16142 14184 12070 10717 10717 12070 14184 16142 16891 14985 9888 225879
21 0 1660 3118 4006 4694 5284 5642 5642 5284 4694 4006 3118 1660 0 21
21 0 1660 3118 4006 4694 5284 5642 5642 5284 4694 4006 3118 1660 0 21
225879 9888 14985 16891 16142 14184 12070 10717 10717 12070 14184 16142 16891 14985 9888 225879
23 357442 18152 26831 28802 26557 22355 18450 16336 16336 18450 22355 26557 28802 26831 18152 357442
367 106 3178 6008 7504 8422 8944 9008 9008 8944 8422 7504 6008 3178 106 367
367 106 3178 6008 7504 8422 8944 9008 9008 8944 8422 7504 6008 3178 106 367
357442 18152 26831 28802 26557 22355 18450 16336 16336 18450 22355 26557 28802 26831 18152 357442
24 522163 31182 43872 44701 38427 29935 22899 18837 18837 22899 29935 38427 44701 43872 31182 522163
33 0 5448 10334 12578 13034 12428 11706 11706 12428 13034 12578 10334 5448 0 33
33 0 5448 10334 12578 13034 12428 11706 11706 12428 13034 12578 10334 5448 0 33
522163 31182 43872 44701 38427 29935 22899 18837 18837 22899 29935 38427 44701 43872 31182 522163
25 695161 52518 71368 69385 57585 44018 33145 27799 27799 33145 44018 57585 69385 71368 52518 695161
649 194 10052 18864 22162 21362 18834 16972 16972 18834 21362 22162 18864 10052 194 649
649 194 10052 18864 22162 21362 18834 16972 16972 18834 21362 22162 18864 10052 194 649
695161 52518 71368 69385 57585 44018 33145 27799 27799 33145 44018 57585 69385 71368 52518 695161
26 833285 80895 105752 97904 76982 55047 39365 31177 31177 39365 55047 76982 97904 105752 80895 833285
55 0 17226 31442 34598 30232 24290 20410 20410 24290 30232 34598 31442 17226 0 55
55 0 17226 31442 34598 30232 24290 20410 20410 24290 30232 34598 31442 17226 0 55
833285 80895 105752 97904 76982 55047 39365 31177 31177 39365 55047 76982 97904 105752 80895 833285
27 938952 117582 150345 136147 104660 75786 54956 44699 44699 54956 75786 104660 136147 150345 117582 938952
1117 336 29516 51376 53046 44268 33736 27628 27628 33736 44268 53046 51376 29516 336 1117
1117 336 29516 51376 53046 44268 33736 27628 27628 33736 44268 53046 51376 29516 336 1117
938952 117582 150345 136147 104660 75786 54956 44699 44699 54956 75786 104660 136147 150345 117582 938952
28 1000165 152573 193478 170391 127615 88673 63046 49758 49758 63046 88673 127615 170391 193478 152573 1000165
97 0 45030 74950 73322 56620 40612 31804 31804 40612 56620 73322 74950 45030 0 97
97 0 45030 74950 73322 56620 40612 31804 31804 40612 56620 73322 74950 45030 0 97
1000165 152573 193478 170391 127615 88673 63046 49758 49758 63046 88673 127615 170391 193478 152573 1000165
29 956012 186345 234228 208049 157334 113943 83746 69789 69789 83746 113943 157334 208049 234228 186345 956012
1903 566 63252 103730 96956 73560 52746 41460 41460 52746 73560 96956 103730 63252 566 1903
1903 566 63252 103730 96956 73560 52746 41460 41460 52746 73560 96956 103730 63252 566 1903
956012 186345 234228 208049 157334 113943 83746 69789 69789 83746 113943 157334 208049 234228 186345 956012
30 860137 203934 256622 225146 169045 121168 91831 76552 76552 91831 121168 169045 225146 256622 203934 860137
173 0 79452 125880 113912 84178 59354 46490 46490 59354 84178 113912 125880 79452 0 173
173 0 79452 125880 113912 84178 59354 46490 46490 59354 84178 113912 125880 79452 0 173
860137 203934 256622 225146 169045 121168 91831 76552 76552 91831 121168 169045 225146 256622 203934 860137
31 758384 211768 268041 239103 184937 141931 114411 102710 102710 114411 141931 184937 239103 268041 211768 758384
3259 958 93114 143416 129010 96040 71802 59044 59044 71802 96040 129010 143416 93114 958 3259
3259 958 93114 143416 129010 96040 71802 59044 59044 71802 96040 129010 143416 93114 958 3259
758384 211768 268041 239103 184937 141931 114411 102710 102710 114411 141931 184937 239103 268041 211768 758384
32 593198 205536 245376 221643 173310 133249 114007 105459 105459 114007 133249 173310 221643 245376 205536 593198
303 0 91912 149358 128226 95648 73276 63410 63410 73276 95648 128226 149358 91912 0 303
303 0 91912 149358 128226 95648 73276 63410 63410 73276 95648 128226 149358 91912 0 303
593198 205536 245376 221643 173310 133249 114007 105459 105459 114007 133249 173310 221643 245376 205536 593198
33 437871 185503 235527 206756 172540 146471 130436 129361 129361 130436 146471 172540 206756 235527 185503 437871
5631 1650 91412 144304 130118 97314 80812 75646 75646 80812 97314 130118 144304 91412 1650 5631
5631 1650 91412 144304 130118 97314 80812 75646 75646 80812 97314 130118 144304 91412 1650 5631
437871 185503 235527 206756 172540 146471 130436 129361 129361 130436 146471 172540 206756 235527 185503 437871
34 316005 147118 187079 170944 135602 119810 115874 113423 113423 115874 119810 135602 170944 187079 147118 316005
521 0 85662 124634 110634 86534 72446 72206 72206 72446 86534 110634 124634 85662 0 521
521 0 85662 124634 110634 86534 72446 72206 72206 72446 86534 110634 124634 85662 0 521
316005 147118 187079 170944 135602 119810 115874 113423 113423 115874 119810 135602 170944 187079 147118 316005
35 218461 127542 158311 149489 131518 123642 121531 125330 125330 121531 123642 131518 149489 158311 127542 218461
9767 2872 74088 116238 97318 79562 74682 75888 75888 74682 79562 97318 116238 74088 2872 9767
9767 2872 74088 116238 97318 79562 74682 75888 75888 74682 79562 97318 116238 74088 2872 9767
218461 127542 158311 149489 131518 123642 121531 125330 125330 121531 123642 131518 149489 158311 127542 218461
36 134013 83529 103256 96025 85364 84283 91954 86369 86369 91954 84283 85364 96025 103256 83529 134013
890 0 53526 84050 73454 56836 55430 61220 61220 55430 56836 73454 84050 53526 0 890
890 0 53526 84050 73454 56836 55430 61220 61220 55430 56836 73454 84050 53526 0 890
134013 83529 103256 96025 85364 84283 91954 86369 86369 91954 84283 85364 96025 103256 83529 134013
37 91482 70314 91167 81290 77374 85497 89959 92315 92315 89959 85497 77374 81290 91167 70314 91482
16418 4914 45656 66006 56634 49530 54834 55088 55088 54834 49530 56634 66006 45656 4914 16418
16418 4914 45656 66006 56634 49530 54834 55088 55088 54834 49530 56634 66006 45656 4914 16418
91482 70314 91167 81290 77374 85497 89959 92315 92315 89959 85497 77374 81290 91167 70314 91482
38 47476 34778 40958 40082 38099 45518 49303 49242 49242 49303 45518 38099 40082 40958 34778 47476
1374 0 28312 38878 30196 27818 31514 36836 36836 31514 27818 30196 38878 28312 0 1374
1374 0 28312 38878 30196 27818 31514 36836 36836 31514 27818 30196 38878 28312 0 1374
47476 34778 40958 40082 38099 45518 49303 49242 49242 49303 45518 38099 40082 40958 34778 47476
39 35842 37717 41889 34526 36861 44118 46762 47288 47288 46762 44118 36861 34526 41889 37717 35842
18352 5762 22250 29450 22392 22062 25708 29542 29542 25708 22062 22392 29450 22250 5762 18352
18352 5762 22250 29450 22392 22062 25708 29542 29542 25708 22062 22392 29450 22250 5762 18352
35842 37717 41889 34526 36861 44118 46762 47288 47288 46762 44118 36861 34526 41889 37717 35842
40 10852 9170 9049 8844 13662 17120 16372 13278 13278 16372 17120 13662 8844 9049 9170 10852
814 0 10946 10700 7900 8496 11280 12704 12704 11280 8496 7900 10700 10946 0 814
814 0 10946 10700 7900 8496 11280 12704 12704 11280 8496 7900 10700 10946 0 814
10852 9170 9049 8844 13662 17120 16372 13278 13278 16372 17120 13662 8844 9049 9170 10852
41 5130 7292 6738 4276 7038 8436 7872 6390 6390 7872 8436 7038 4276 6738 7292 5130
4232 1138 4306 4030 3286 3920 4310 3716 3716 4310 3920 3286 4030 4306 1138 4232
4232 1138 4306 4030 3286 3920 4310 3716 3716 4310 3920 3286 4030 4306 1138 4232
5130 7292 6738 4276 7038 8436 7872 6390 6390 7872 8436 7038 4276 6738 7292 5130
42 662 458 1028 874 1372 1542 1376 1298 1298 1376 1542 1372 874 1028 458 662
24 0 1076 492 366 992 1122 450 450 1122 992 366 492 1076 0 24
24 0 1076 492 366 992 1122 450 450 1122 992 366 492 1076 0 24
662 458 1028 874 1372 1542 1376 1298 1298 1376 1542 1372 874 1028 458 662
43 38 90 30 8 130 58 8 84 84 8 58 130 8 30 90 38
38 4 52 52 20 40 52 28 28 52 40 20 52 52 4 38
38 4 52 52 20 40 52 28 28 52 40 20 52 52 4 38
38 90 30 8 130 58 8 84 84 8 58 130 8 30 90 38
44 0 2 4 0 4 4 0 4 4 0 4 4 0 4 2 0
0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0
0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0
0 2 4 0 4 4 0 4 4 0 4 4 0 4 2 0
Total 9339869 1986519 2505414 2274325 1857003 1542197 1344575 1243033 1243033 1344575 1542197 1857003 2274325 2505414 1986519 9339869
66552 18640 859428 1341742 1213600 968408 821812 765898 765898 821812 968408 1213600 1341742 859428 18640 66552
66552 18640 859428 1341742 1213600 968408 821812 765898 765898 821812 968408 1213600 1341742 859428 18640 66552
9339869 1986519 2505414 2274325 1857003 1542197 1344575 1243033 1243033 1344575 1542197 1857003 2274325 2505414 1986519 9339869
Grand total = 4*18640 + 4*66552 + 4*765898 + 4*821812 + 4*859428 + 4*968408 + 4*1213600 + 4*1243033 + 4*1341742 + 4*1344575 + 4*1542197 + 4*1857003 + 4*1986519 + 4*2274325 + 4*2505414 + 4*9339869
= 112596060
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
L
3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2
1 2 0 0 0 0 0 0 0 0 0 0 0 0 2 1
1 2 0 0 0 0 0 0 0 0 0 0 0 0 2 1
2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2
4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 2 4
2 6 2 0 0 0 0 0 0 0 0 0 0 2 6 2
2 6 2 0 0 0 0 0 0 0 0 0 0 2 6 2
4 2 0 0 0 0 0 0 0 0 0 0 0 0 2 4
5 10 7 1 0 0 0 0 0 0 0 0 0 0 1 7 10
6 15 9 2 0 0 0 0 0 0 0 0 2 9 15 6
6 15 9 2 0 0 0 0 0 0 0 0 2 9 15 6
10 7 1 0 0 0 0 0 0 0 0 0 0 1 7 10
6 23 14 7 3 0 0 0 0 0 0 0 0 3 7 14 23
11 29 19 12 2 0 0 0 0 0 0 2 12 19 29 11
11 29 19 12 2 0 0 0 0 0 0 2 12 19 29 11
23 14 7 3 0 0 0 0 0 0 0 0 3 7 14 23
7 35 25 17 19 9 4 4 4 4 4 4 9 19 17 25 35
26 51 55 38 24 12 10 10 10 10 12 24 38 55 51 26
26 51 55 38 24 12 10 10 10 10 12 24 38 55 51 26
35 25 17 19 9 4 4 4 4 4 4 9 19 17 25 35
8 61 37 20 27 30 11 4 4 4 4 11 30 27 20 37 61
35 81 77 68 51 28 14 12 12 14 28 51 68 77 81 35
35 81 77 68 51 28 14 12 12 14 28 51 68 77 81 35
61 37 20 27 30 11 4 4 4 4 11 30 27 20 37 61
9 117 86 63 73 79 72 41 32 32 41 72 79 73 63 86 117
83 160 163 161 143 112 76 60 60 76 112 143 161 163 160 83
83 160 163 161 143 112 76 60 60 76 112 143 161 163 160 83
117 86 63 73 79 72 41 32 32 41 72 79 73 63 86 117
10 189 124 78 114 129 129 102 57 57 102 129 129 114 78 124 189
117 269 252 250 258 229 167 116 116 167 229 258 250 252 269 117
117 269 252 250 258 229 167 116 116 167 229 258 250 252 269 117
189 124 78 114 129 129 102 57 57 102 129 129 114 78 124 189
11 421 374 361 454 470 458 434 389 389 434 458 470 454 361 374 421
326 606 585 676 667 672 595 498 498 595 672 667 676 585 606 326
326 606 585 676 667 672 595 498 498 595 672 667 676 585 606 326
421 374 361 454 470 458 434 389 389 434 458 470 454 361 374 421
12 679 498 400 573 676 699 648 654 654 648 699 676 573 400 498 679
441 1005 931 911 1007 1072 1059 975 975 1059 1072 1007 911 931 1005 441
441 1005 931 911 1007 1072 1059 975 975 1059 1072 1007 911 931 1005 441
679 498 400 573 676 699 648 654 654 648 699 676 573 400 498 679
13 1438 1263 1267 1716 2033 2075 2155 2158 2158 2155 2075 2033 1716 1267 1263 1438
1106 2147 2067 2098 2436 2598 2791 2957 2957 2791 2598 2436 2098 2067 2147 1106
1106 2147 2067 2098 2436 2598 2791 2957 2957 2791 2598 2436 2098 2067 2147 1106
1438 1263 1267 1716 2033 2075 2155 2158 2158 2155 2075 2033 1716 1267 1263 1438
14 2395 1793 1524 2201 2689 3083 3368 3625 3625 3368 3083 2689 2201 1524 1793 2395
1622 3546 3370 3305 3473 4063 4887 5582 5582 4887 4063 3473 3305 3370 3546 1622
1622 3546 3370 3305 3473 4063 4887 5582 5582 4887 4063 3473 3305 3370 3546 1622
2395 1793 1524 2201 2689 3083 3368 3625 3625 3368 3083 2689 2201 1524 1793 2395
15 4699 3961 3792 5304 6675 7841 8645 9323 9323 8645 7841 6675 5304 3792 3961 4699
3536 7141 6925 7035 7633 9453 11294 12693 12693 11294 9453 7633 7035 6925 7141 3536
3536 7141 6925 7035 7633 9453 11294 12693 12693 11294 9453 7633 7035 6925 7141 3536
4699 3961 3792 5304 6675 7841 8645 9323 9323 8645 7841 6675 5304 3792 3961 4699
16 8116 6299 5453 7891 10199 12583 14737 15546 15546 14737 12583 10199 7891 5453 6299 8116
5670 12180 11788 12035 13541 16583 19975 22060 22060 19975 16583 13541 12035 11788 12180 5670
5670 12180 11788 12035 13541 16583 19975 22060 22060 19975 16583 13541 12035 11788 12180 5670
8116 6299 5453 7891 10199 12583 14737 15546 15546 14737 12583 10199 7891 5453 6299 8116
17 15243 12616 11773 16954 22327 27602 31210 32626 32626 31210 27602 22327 16954 11773 12616 15243
11243 23339 22991 24753 29019 34774 40278 42565 42565 40278 34774 29019 24753 22991 23339 11243
11243 23339 22991 24753 29019 34774 40278 42565 42565 40278 34774 29019 24753 22991 23339 11243
15243 12616 11773 16954 22327 27602 31210 32626 32626 31210 27602 22327 16954 11773 12616 15243
18 27035 21693 19846 29613 39362 46578 51557 54912 54912 51557 46578 39362 29613 19846 21693 27035
19152 41259 41663 46622 55261 63804 69094 71543 71543 69094 63804 55261 46622 41663 41259 19152
19152 41259 41663 46622 55261 63804 69094 71543 71543 69094 63804 55261 46622 41663 41259 19152
27035 21693 19846 29613 39362 46578 51557 54912 54912 51557 46578 39362 29613 19846 21693 27035
19 50284 42511 42289 62777 79278 90526 99331 104514 104514 99331 90526 79278 62777 42289 42511 50284
36789 78943 83250 95383 110408 122223 127522 129831 129831 127522 122223 110408 95383 83250 78943 36789
36789 78943 83250 95383 110408 122223 127522 129831 129831 127522 122223 110408 95383 83250 78943 36789
50284 42511 42289 62777 79278 90526 99331 104514 104514 99331 90526 79278 62777 42289 42511 50284
20 90671 78422 80836 115125 139319 155703 165278 170078 170078 165278 155703 139319 115125 80836 78422 90671
66243 147267 159809 181420 202060 214247 217583 215899 215899 217583 214247 202060 181420 159809 147267 66243
66243 147267 159809 181420 202060 214247 217583 215899 215899 217583 214247 202060 181420 159809 147267 66243
90671 78422 80836 115125 139319 155703 165278 170078 170078 165278 155703 139319 115125 80836 78422 90671
21 168179 157295 165831 225075 267263 289458 299690 303828 303828 299690 289458 267263 225075 165831 157295 168179
129472 285401 313657 346461 369295 381191 381536 381115 381115 381536 381191 369295 346461 313657 285401 129472
129472 285401 313657 346461 369295 381191 381536 381115 381115 381536 381191 369295 346461 313657 285401 129472
168179 157295 165831 225075 267263 289458 299690 303828 303828 299690 289458 267263 225075 165831 157295 168179
22 298788 288392 303244 401545 457486 478211 478423 473741 473741 478423 478211 457486 401545 303244 288392 298788
238822 523362 567523 600365 617503 623314 622106 621157 621157 622106 623314 617503 600365 567523 523362 238822
238822 523362 567523 600365 617503 623314 622106 621157 621157 622106 623314 617503 600365 567523 523362 238822
298788 288392 303244 401545 457486 478211 478423 473741 473741 478423 478211 457486 401545 303244 288392 298788
23 509310 522773 568104 717194 793935 809430 795261 780175 780175 795261 809430 793935 717194 568104 522773 509310
443587 923001 971247 992369 996289 1001547 1008744 1011660 1011660 1008744 1001547 996289 992369 971247 923001 443587
443587 923001 971247 992369 996289 1001547 1008744 1011660 1011660 1008744 1001547 996289 992369 971247 923001 443587
509310 522773 568104 717194 793935 809430 795261 780175 780175 795261 809430 793935 717194 568104 522773 509310
24 806591 874832 943724 1146659 1229672 1213020 1160867 1123191 1123191 1160867 1213020 1229672 1146659 943724 874832 806591
755543 1476896 1499635 1479894 1463530 1471400 1483937 1492457 1492457 1483937 1471400 1463530 1479894 1499635 1476896 755543
755543 1476896 1499635 1479894 1463530 1471400 1483937 1492457 1492457 1483937 1471400 1463530 1479894 1499635 1476896 755543
806591 874832 943724 1146659 1229672 1213020 1160867 1123191 1123191 1160867 1213020 1229672 1146659 943724 874832 806591
25 1223719 1391522 1519842 1786158 1854199 1793043 1708761 1655962 1655962 1708761 1793043 1854199 1786158 1519842 1391522 1223719
1215041 2193365 2158288 2094102 2077304 2097323 2116332 2116739 2116739 2116332 2097323 2077304 2094102 2158288 2193365 1215041
1215041 2193365 2158288 2094102 2077304 2097323 2116332 2116739 2116739 2116332 2097323 2077304 2094102 2158288 2193365 1215041
1223719 1391522 1519842 1786158 1854199 1793043 1708761 1655962 1655962 1708761 1793043 1854199 1786158 1519842 1391522 1223719
26 1666034 1995239 2215950 2482164 2470430 2321174 2182344 2109775 2109775 2182344 2321174 2470430 2482164 2215950 1995239 1666034
1775245 2928925 2791501 2681707 2671968 2707552 2722239 2722913 2722913 2722239 2707552 2671968 2681707 2791501 2928925 1775245
1775245 2928925 2791501 2681707 2671968 2707552 2722239 2722913 2722913 2722239 2707552 2671968 2681707 2791501 2928925 1775245
1666034 1995239 2215950 2482164 2470430 2321174 2182344 2109775 2109775 2182344 2321174 2470430 2482164 2215950 1995239 1666034
27 2185863 2824216 3162471 3410062 3302208 3067221 2873753 2784550 2784550 2873753 3067221 3302208 3410062 3162471 2824216 2185863
2529521 3755148 3479803 3323893 3357367 3424938 3425943 3425093 3425093 3425943 3424938 3357367 3323893 3479803 3755148 2529521
2529521 3755148 3479803 3323893 3357367 3424938 3425943 3425093 3425093 3425943 3424938 3357367 3323893 3479803 3755148 2529521
2185863 2824216 3162471 3410062 3302208 3067221 2873753 2784550 2784550 2873753 3067221 3302208 3410062 3162471 2824216 2185863
28 2792650 3691541 4098347 4248536 3988760 3624080 3374992 3262622 3262622 3374992 3624080 3988760 4248536 4098347 3691541 2792650
3339606 4497081 4022520 3845097 3914780 3981644 4010455 4015041 4015041 4010455 3981644 3914780 3845097 4022520 4497081 3339606
3339606 4497081 4022520 3845097 3914780 3981644 4010455 4015041 4015041 4010455 3981644 3914780 3845097 4022520 4497081 3339606
2792650 3691541 4098347 4248536 3988760 3624080 3374992 3262622 3262622 3374992 3624080 3988760 4248536 4098347 3691541 2792650
29 3316758 4545381 5069067 5139052 4741958 4280196 3982965 3853948 3853948 3982965 4280196 4741958 5139052 5069067 4545381 3316758
4190486 5029038 4421153 4308609 4423061 4493718 4532284 4537277 4537277 4532284 4493718 4423061 4308609 4421153 5029038 4190486
4190486 5029038 4421153 4308609 4423061 4493718 4532284 4537277 4537277 4532284 4493718 4423061 4308609 4421153 5029038 4190486
3316758 4545381 5069067 5139052 4741958 4280196 3982965 3853948 3853948 3982965 4280196 4741958 5139052 5069067 4545381 3316758
30 3643515 5140194 5722551 5618862 5050773 4502345 4184019 4058013 4058013 4184019 4502345 5050773 5618862 5722551 5140194 3643515
4850093 5217872 4473188 4365327 4529404 4667626 4700532 4691906 4691906 4700532 4667626 4529404 4365327 4473188 5217872 4850093
4850093 5217872 4473188 4365327 4529404 4667626 4700532 4691906 4691906 4700532 4667626 4529404 4365327 4473188 5217872 4850093
3643515 5140194 5722551 5618862 5050773 4502345 4184019 4058013 4058013 4184019 4502345 5050773 5618862 5722551 5140194 3643515
31 3988059 5695380 6404181 6229728 5568301 4993052 4678961 4559135 4559135 4678961 4993052 5568301 6229728 6404181 5695380 3988059
5433224 5383260 4529139 4474958 4684449 4831636 4861471 4840834 4840834 4861471 4831636 4684449 4474958 4529139 5383260 5433224
5433224 5383260 4529139 4474958 4684449 4831636 4861471 4840834 4840834 4861471 4831636 4684449 4474958 4529139 5383260 5433224
3988059 5695380 6404181 6229728 5568301 4993052 4678961 4559135 4559135 4678961 4993052 5568301 6229728 6404181 5695380 3988059
32 3942541 5667437 6279462 5962138 5224346 4658739 4389411 4304117 4304117 4389411 4658739 5224346 5962138 6279462 5667437 3942541
5503205 4929650 4034707 4026646 4284214 4470711 4480616 4447212 4447212 4480616 4470711 4284214 4026646 4034707 4929650 5503205
5503205 4929650 4034707 4026646 4284214 4470711 4480616 4447212 4447212 4480616 4470711 4284214 4026646 4034707 4929650 5503205
3942541 5667437 6279462 5962138 5224346 4658739 4389411 4304117 4304117 4389411 4658739 5224346 5962138 6279462 5667437 3942541
33 3818129 5644856 6350794 5964574 5279954 4773760 4533676 4466700 4466700 4533676 4773760 5279954 5964574 6350794 5644856 3818129
5501443 4582179 3745912 3756476 4021805 4152637 4186938 4174783 4174783 4186938 4152637 4021805 3756476 3745912 4582179 5501443
5501443 4582179 3745912 3756476 4021805 4152637 4186938 4174783 4174783 4186938 4152637 4021805 3756476 3745912 4582179 5501443
3818129 5644856 6350794 5964574 5279954 4773760 4533676 4466700 4466700 4533676 4773760 5279954 5964574 6350794 5644856 3818129
34 3421443 4977920 5496090 5033258 4382604 3986971 3837480 3788226 3788226 3837480 3986971 4382604 5033258 5496090 4977920 3421443
4970480 3733538 2916424 3017730 3340165 3435030 3421499 3429870 3429870 3421499 3435030 3340165 3017730 2916424 3733538 4970480
4970480 3733538 2916424 3017730 3340165 3435030 3421499 3429870 3429870 3421499 3435030 3340165 3017730 2916424 3733538 4970480
3421443 4977920 5496090 5033258 4382604 3986971 3837480 3788226 3788226 3837480 3986971 4382604 5033258 5496090 4977920 3421443
35 3131624 4657213 5217187 4830999 4273172 3941943 3833467 3843779 3843779 3833467 3941943 4273172 4830999 5217187 4657213 3131624
4644691 3355842 2594277 2662567 2924897 3056850 3042013 3007844 3007844 3042013 3056850 2924897 2662567 2594277 3355842 4644691
4644691 3355842 2594277 2662567 2924897 3056850 3042013 3007844 3007844 3042013 3056850 2924897 2662567 2594277 3355842 4644691
3131624 4657213 5217187 4830999 4273172 3941943 3833467 3843779 3843779 3833467 3941943 4273172 4830999 5217187 4657213 3131624
36 2362828 3373500 3692146 3348058 2949293 2752003 2713580 2702127 2702127 2713580 2752003 2949293 3348058 3692146 3373500 2362828
3521369 2195944 1668788 1824615 2043204 2099299 2086528 2073882 2073882 2086528 2099299 2043204 1824615 1668788 2195944 3521369
3521369 2195944 1668788 1824615 2043204 2099299 2086528 2073882 2073882 2086528 2099299 2043204 1824615 1668788 2195944 3521369
2362828 3373500 3692146 3348058 2949293 2752003 2713580 2702127 2702127 2713580 2752003 2949293 3348058 3692146 3373500 2362828
37 2097979 3103776 3439787 3140583 2818625 2704880 2717225 2738146 2738146 2717225 2704880 2818625 3140583 3439787 3103776 2097979
3196784 2010570 1412372 1565283 1767721 1796931 1782105 1760919 1760919 1782105 1796931 1767721 1565283 1412372 2010570 3196784
3196784 2010570 1412372 1565283 1767721 1796931 1782105 1760919 1760919 1782105 1796931 1767721 1565283 1412372 2010570 3196784
2097979 3103776 3439787 3140583 2818625 2704880 2717225 2738146 2738146 2717225 2704880 2818625 3140583 3439787 3103776 2097979
38 1243788 1707256 1851233 1639891 1468706 1444974 1469039 1483863 1483863 1469039 1444974 1468706 1639891 1851233 1707256 1243788
1855025 935068 745709 865249 964865 970348 945730 943848 943848 945730 970348 964865 865249 745709 935068 1855025
1855025 935068 745709 865249 964865 970348 945730 943848 943848 945730 970348 964865 865249 745709 935068 1855025
1243788 1707256 1851233 1639891 1468706 1444974 1469039 1483863 1483863 1469039 1444974 1468706 1639891 1851233 1707256 1243788
39 1229307 1642324 1797110 1567964 1414170 1425484 1483268 1519920 1519920 1483268 1425484 1414170 1567964 1797110 1642324 1229307
1873312 771243 639381 770495 877855 875670 828122 804694 804694 828122 875670 877855 770495 639381 771243 1873312
1873312 771243 639381 770495 877855 875670 828122 804694 804694 828122 875670 877855 770495 639381 771243 1873312
1229307 1642324 1797110 1567964 1414170 1425484 1483268 1519920 1519920 1483268 1425484 1414170 1567964 1797110 1642324 1229307
40 423566 547324 589776 495250 457152 472460 491578 495124 495124 491578 472460 457152 495250 589776 547324 423566
624518 226730 217816 263810 302832 291178 275814 272552 272552 275814 291178 302832 263810 217816 226730 624518
624518 226730 217816 263810 302832 291178 275814 272552 272552 275814 291178 302832 263810 217816 226730 624518
423566 547324 589776 495250 457152 472460 491578 495124 495124 491578 472460 457152 495250 589776 547324 423566
41 225759 298238 309338 228496 239922 278078 274864 245454 245454 274864 278078 239922 228496 309338 298238 225759
321336 101941 118266 150286 159242 132062 133142 150086 150086 133142 132062 159242 150286 118266 101941 321336
321336 101941 118266 150286 159242 132062 133142 150086 150086 133142 132062 159242 150286 118266 101941 321336
225759 298238 309338 228496 239922 278078 274864 245454 245454 274864 278078 239922 228496 309338 298238 225759
42 37576 48900 51166 34006 37328 45586 44444 38096 38096 44444 45586 37328 34006 51166 48900 37576
52156 15272 20728 26268 28542 22260 22716 26500 26500 22716 22260 28542 26268 20728 15272 52156
52156 15272 20728 26268 28542 22260 22716 26500 26500 22716 22260 28542 26268 20728 15272 52156
37576 48900 51166 34006 37328 45586 44444 38096 38096 44444 45586 37328 34006 51166 48900 37576
43 2198 2870 2708 1704 2712 2612 1944 2612 2612 1944 2612 2712 1704 2708 2870 2198
2864 766 1396 1488 1402 1336 1496 1368 1368 1496 1336 1402 1488 1396 766 2864
2864 766 1396 1488 1402 1336 1496 1368 1368 1496 1336 1402 1488 1396 766 2864
2198 2870 2708 1704 2712 2612 1944 2612 2612 1944 2612 2712 1704 2708 2870 2198
44 62 80 76 32 80 80 32 80 80 32 80 80 32 76 80 62
80 18 44 48 40 40 48 40 40 48 40 40 48 44 18 80
80 18 44 48 40 40 48 40 40 48 40 40 48 44 18 80
62 80 76 32 80 80 32 80 80 32 80 80 32 76 80 62
Total 42737688 58968185 65417912 63894832 58576324 54206164 51887558 50987106 50987106 51887558 54206164 58576324 63894832 65417912 58968185 42737688
57114312 55390156 47677430 47818512 50247717 51456111 51567691 51454591 51454591 51567691 51456111 50247717 47818512 47677430 55390156 57114312
57114312 55390156 47677430 47818512 50247717 51456111 51567691 51454591 51454591 51567691 51456111 50247717 47818512 47677430 55390156 57114312
42737688 58968185 65417912 63894832 58576324 54206164 51887558 50987106 50987106 51887558 54206164 58576324 63894832 65417912 58968185 42737688
Grand total = 4*42737688 + 4*47677430 + 4*47818512 + 4*50247717 + 4*50987106 + 4*51454591 + 4*51456111 + 4*51567691 + 4*51887558 + 4*54206164 + 4*55390156 + 4*57114312 + 4*58576324 + 4*58968185 + 4*63894832 + 4*65417912
= 3437609156
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
EN
0 0 0 38569 40657 43235 40795 49902 69146 99023 137632 184964 247010 334448 445453 556737 704625 0 2 7778 17326 22831 21692 22925 30546 44779 64328 89520 121548 158355 202414 299851
580090 29589 2 4 4338 11424 18079 28614 39513 49651 62577 83854 116867 157589 203969 301132 581274 20775 12554 12556 15244 24118 40020 61087 82370 104521 133366 176167 240858 334323 449256
560337 707660
1 0 0 0 28066 10 3904 5958 18880 27580 32556 37252 47512 66710 92508 117110 147836 25256 0 8664 8194 2 10 2556 8696 13670 16312 18306 22838 30962 41866 62984
121772 0 0 0 0 4564 12032 7630 4728 5716 10512 18212 27176 35252 43332 63026 121736 0 0 0 4330 12899 15870 12542 11554 15360 24882 38584 54686 73436 95082
117120 148288
2 30790 0 0 0 34152 30 8246 12574 31488 44760 53182 62840 82372 112496 143932 182734 13312 20688 0 13700 8632 8 30 5388 14738 22344 27066 31296 38576 50996 77886
151548 0 0 0 0 0 9624 19028 12722 8208 10290 18674 31510 44380 55626 79822 153218 0 0 0 0 9124 24200 26000 20788 19646 26568 42454 65412 93022 122200
149202 187892
3 23242 36094 0 0 0 35170 66 10886 16546 37300 52360 63308 77102 99672 126544 161726 7014 7014 14790 0 14456 7972 20 66 7092 17750 26758 32578 37026 45440 68870
134650 7014 0 0 0 0 0 12680 21998 15116 10102 13134 23482 37208 49810 71934 137450 7014 4330 0 0 0 13222 30721 30778 24792 23716 32392 51898 79860 109892
135116 169154
4 15938 12244 39672 0 0 0 37316 130 11450 17330 38480 54580 67410 81560 99580 127240 12244 3694 9310 13934 0 13988 8440 40 130 7540 18790 28220 33110 37400 54040
105140 15938 7388 0 0 0 0 0 13320 22660 15770 10980 14550 24670 36850 55600 106710 19632 18027 9124 0 0 0 15192 32392 32080 25880 24930 34540 55450 81900
104150 130320
5 14232 12286 6448 40542 0 0 0 39696 252 11424 17276 39160 56392 68960 80000 100616 16788 6448 1946 10814 14882 0 14062 9240 76 252 7800 19360 27644 31504 42588
81220 23236 14842 9730 0 0 0 0 0 13224 23008 16324 11840 15480 24864 40680 79664 31630 29684 28254 13222 0 0 0 15604 32535 32484 26260 25868 36304 55684
74904 94964
6 23844 15708 12630 3396 40508 0 0 0 40798 488 11730 17716 40184 56338 65602 80376 24162 10896 3396 1026 10338 15226 0 14414 9494 146 488 8276 19016 25460 33994
63254 28902 16662 18006 12312 0 0 0 0 0 13286 23570 16972 12726 16918 29306 59054 39090 32298 34668 32733 15192 0 0 0 15570 32538 32584 26874 27600 37786
52514 68510
7 41028 32256 17988 13128 1788 40580 0 0 0 40836 938 12500 18422 38856 50112 61000 34752 17916 8976 1788 540 9516 14940 0 14660 9354 282 938 8644 17552 25902
48144 34920 18084 15756 21996 13500 0 0 0 0 0 13536 23732 16798 13984 21868 44392 43860 33300 30972 34008 32964 15604 0 0 0 15570 32601 32842 28434 30126
38856 51994
8 61000 50112 38856 18422 12500 938 40836 0 0 0 40580 1788 13128 17988 32256 41028 48144 25902 17552 8644 938 282 9354 14660 0 14940 9516 540 1788 8976 17916
34752 44392 21868 13984 16798 23732 13536 0 0 0 0 0 13500 21996 15756 18084 34920 51994 38856 30126 28434 32842 32601 15570 0 0 0 15604 32964 34008 30972
33300 43860
9 80376 65602 56338 40184 17716 11730 488 40798 0 0 0 40508 3396 12630 15708 23844 63254 33994 25460 19016 8276 488 146 9494 14414 0 15226 10338 1026 3396 10896
24162 59054 29306 16918 12726 16972 23570 13286 0 0 0 0 0 12312 18006 16662 28902 68510 52514 37786 27600 26874 32584 32538 15570 0 0 0 15192 32733 34668
32298 39090
10 100616 80000 68960 56392 39160 17276 11424 252 39696 0 0 0 40542 6448 12286 14232 81220 42588 31504 27644 19360 7800 252 76 9240 14062 0 14882 10814 1946 6448
16788 79664 40680 24864 15480 11840 16324 23008 13224 0 0 0 0 0 9730 14842 23236 94964 74904 55684 36304 25868 26260 32484 32535 15604 0 0 0 13222 28254
29684 31630
11 127240 99580 81560 67410 54580 38480 17330 11450 130 37316 0 0 0 39672 12244 15938 105140 54040 37400 33110 28220 18790 7540 130 40 8440 13988 0 13934 9310 3694
12244 106710 55600 36850 24670 14550 10980 15770 22660 13320 0 0 0 0 0 7388 15938 130320 104150 81900 55450 34540 24930 25880 32080 32392 15192 0 0 0 9124
18027 19632
12 161726 126544 99672 77102 63308 52360 37300 16546 10886 66 35170 0 0 0 36094 23242 134650 68870 45440 37026 32578 26758 17750 7092 66 20 7972 14456 0 14790 7014
7014 137450 71934 49810 37208 23482 13134 10102 15116 21998 12680 0 0 0 0 0 7014 169154 135116 109892 79860 51898 32392 23716 24792 30778 30721 13222 0 0 0
4330 7014
13 182734 143932 112496 82372 62840 53182 44760 31488 12574 8246 30 34152 0 0 0 30790 151548 77886 50996 38576 31296 27066 22344 14738 5388 30 8 8632 13700 0 20688
13312 153218 79822 55626 44380 31510 18674 10290 8208 12722 19028 9624 0 0 0 0 0 187892 149202 122200 93022 65412 42454 26568 19646 20788 26000 24200 9124 0 0
0 0
14 147836 117110 92508 66710 47512 37252 32556 27580 18880 5958 3904 10 28066 0 0 0 121772 62984 41866 30962 22838 18306 16312 13670 8696 2556 10 2 8194 8664 0
25256 121736 63026 43332 35252 27176 18212 10512 5716 4728 7630 12032 4564 0 0 0 0 148288 117120 95082 73436 54686 38584 24882 15360 11554 12542 15870 12899 4330 0
0 0
15 704625 556737 445453 334448 247010 184964 137632 99023 69146 49902 40795 43235 40657 38569 0 0 580090 299851 202414 158355 121548 89520 64328 44779 30546 22925 21692 22831 17326 7778 2
0 581274 301132 203969 157589 116867 83854 62577 49651 39513 28614 18079 11424 4338 4 2 29589 707660 560337 449256 334323 240858 176167 133366 104521 82370 61087 40020 24118 15244 12556
12554 20775
16 0 25256 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 15596 0 0 0 0 0 0 0 0 0 0 0 0 0 0 21368 4332 0 0 0 0 0 0 0 0 0 0 0 0
0 0
17 0 0 7376 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 11264 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0
18 11872 8662 0 7776 3680 2414 2420 4238 8866 13870 18124 22354 28800 38238 48432 61580 11872 0 0 0 4566 6 1278 1354 3874 6664 9140 11252 13660 17380 26226
51034 5936 5936 0 2 2 2 5074 5344 4582 4340 6120 9838 14298 18554 26910 51648 0 0 0 0 0 3894 9840 9530 8652 9766 13824 20864 30364 40862
50328 63286
19 15630 12504 13692 0 10240 7760 5104 5128 8936 18568 29008 38392 48304 61288 76208 97112 9378 9378 0 0 0 9632 24 2704 2872 8192 14272 19632 23376 27984 41296
80336 3126 3126 3126 0 8 8 8 10664 11200 9696 9448 13440 20632 28632 42392 81384 3126 0 0 0 0 0 8216 20752 20104 18256 20656 29584 44976 63360
79336 99536
20 14814 9876 9876 14436 0 12936 9180 6066 6120 10566 21870 34506 46404 57690 69372 87822 9876 4938 9876 0 0 0 11430 54 3222 3474 9918 17208 22644 26388 37260
71748 8230 1646 1646 1646 0 18 18 18 12546 13248 11754 11736 16200 23742 36882 71514 9876 4938 0 0 0 0 0 9738 24552 23742 21636 24930 36108 52812
68472 86382
21 13020 10416 7812 8680 13948 0 14200 9112 6052 6154 10574 21930 34816 45866 54196 67558 11284 6076 2604 11284 0 0 0 11356 102 3264 3638 10132 16592 20876 28628
54196 13888 7812 868 868 868 0 34 34 34 12410 13328 12036 12002 16320 26486 52326 18228 17360 7812 0 0 0 0 0 9622 24208 23426 21760 25772 36176
48348 62016
22 16030 11450 8702 7328 9160 13986 0 14400 9088 6080 6272 10816 22080 33600 41344 50880 15572 6870 4580 1374 11908 0 0 0 11200 192 3392 3904 9920 15104 21632
40576 19236 10992 9618 458 458 458 0 64 64 64 12352 13312 11840 12288 19200 38336 25648 22442 22900 9618 0 0 0 0 0 9408 23680 23232 22400 26560
34560 45184
23 24720 18960 11760 7680 6960 9600 14268 0 14378 9424 6448 6820 11532 21700 29760 37076 22080 10800 5040 4080 720 11760 0 0 0 11408 372 3720 4340 9672 15872
30504 24000 13200 11520 11760 240 240 240 0 124 124 124 12524 12896 11656 15252 29760 30960 24960 24720 24480 9840 0 0 0 0 0 9548 24056 24180 24056
27776 36208
24 37076 29760 21700 11532 6820 6448 9424 14378 0 14268 9600 6960 7680 11760 18960 24720 30504 15872 9672 4340 3720 372 11408 0 0 0 11760 720 4080 5040 10800
22080 29760 15252 11656 12896 12524 124 124 124 0 240 240 240 11760 11520 13200 24000 36208 27776 24056 24180 24056 9548 0 0 0 0 0 9840 24480 24720
24960 30960
25 50880 41344 33600 22080 10816 6272 6080 9088 14400 0 13986 9160 7328 8702 11450 16030 40576 21632 15104 9920 3904 3392 192 11200 0 0 0 11908 1374 4580 6870
15572 38336 19200 12288 11840 13312 12352 64 64 64 0 458 458 458 9618 10992 19236 45184 34560 26560 22400 23232 23680 9408 0 0 0 0 0 9618 22900
22442 25648
26 67558 54196 45866 34816 21930 10574 6154 6052 9112 14200 0 13948 8680 7812 10416 13020 54196 28628 20876 16592 10132 3638 3264 102 11356 0 0 0 11284 2604 6076
11284 52326 26486 16320 12002 12036 13328 12410 34 34 34 0 868 868 868 7812 13888 62016 48348 36176 25772 21760 23426 24208 9622 0 0 0 0 0 7812
17360 18228
27 87822 69372 57690 46404 34506 21870 10566 6120 6066 9180 12936 0 14436 9876 9876 14814 71748 37260 26388 22644 17208 9918 3474 3222 54 11430 0 0 0 9876 4938
9876 71514 36882 23742 16200 11736 11754 13248 12546 18 18 18 0 1646 1646 1646 8230 86382 68472 52812 36108 24930 21636 23742 24552 9738 0 0 0 0 0
4938 9876
28 97112 76208 61288 48304 38392 29008 18568 8936 5128 5104 7760 10240 0 13692 12504 15630 80336 41296 27984 23376 19632 14272 8192 2872 2704 24 9632 0 0 0 9378
9378 81384 42392 28632 20632 13440 9448 9696 11200 10664 8 8 8 0 3126 3126 3126 99536 79336 63360 44976 29584 20656 18256 20104 20752 8216 0 0 0 0
0 3126
29 61580 48432 38238 28800 22354 18124 13870 8866 4238 2420 2414 3680 7776 0 8662 11872 51034 26226 17380 13660 11252 9140 6664 3874 1354 1278 6 4566 0 0 0
11872 51648 26910 18554 14298 9838 6120 4340 4582 5344 5074 2 2 2 0 5936 5936 63286 50328 40862 30364 20864 13824 9766 8652 9530 9840 3894 0 0 0
0 0
30 0 0 0 0 0 0 0 0 0 0 0 0 0 7376 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11264 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 25256 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15596 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4332 21368
32 21368 4332 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15596 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25256 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 11264 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7376 0 0 0 0 0 0 0 0 0 0 0
0 0
34 0 0 0 0 0 3894 9840 9530 8652 9766 13824 20864 30364 40862 50328 63286 5936 5936 0 2 2 2 5074 5344 4582 4340 6120 9838 14298 18554 26910
51648 11872 0 0 0 4566 6 1278 1354 3874 6664 9140 11252 13660 17380 26226 51034 11872 8662 0 7776 3680 2414 2420 4238 8866 13870 18124 22354 28800 38238
48432 61580
35 3126 0 0 0 0 0 8216 20752 20104 18256 20656 29584 44976 63360 79336 99536 3126 3126 3126 0 8 8 8 10664 11200 9696 9448 13440 20632 28632 42392
81384 9378 9378 0 0 0 9632 24 2704 2872 8192 14272 19632 23376 27984 41296 80336 15630 12504 13692 0 10240 7760 5104 5128 8936 18568 29008 38392 48304 61288
76208 97112
36 9876 4938 0 0 0 0 0 9738 24552 23742 21636 24930 36108 52812 68472 86382 8230 1646 1646 1646 0 18 18 18 12546 13248 11754 11736 16200 23742 36882
71514 9876 4938 9876 0 0 0 11430 54 3222 3474 9918 17208 22644 26388 37260 71748 14814 9876 9876 14436 0 12936 9180 6066 6120 10566 21870 34506 46404 57690
69372 87822
37 18228 17360 7812 0 0 0 0 0 9622 24208 23426 21760 25772 36176 48348 62016 13888 7812 868 868 868 0 34 34 34 12410 13328 12036 12002 16320 26486
52326 11284 6076 2604 11284 0 0 0 11356 102 3264 3638 10132 16592 20876 28628 54196 13020 10416 7812 8680 13948 0 14200 9112 6052 6154 10574 21930 34816 45866
54196 67558
38 25648 22442 22900 9618 0 0 0 0 0 9408 23680 23232 22400 26560 34560 45184 19236 10992 9618 458 458 458 0 64 64 64 12352 13312 11840 12288 19200
38336 15572 6870 4580 1374 11908 0 0 0 11200 192 3392 3904 9920 15104 21632 40576 16030 11450 8702 7328 9160 13986 0 14400 9088 6080 6272 10816 22080 33600
41344 50880
39 30960 24960 24720 24480 9840 0 0 0 0 0 9548 24056 24180 24056 27776 36208 24000 13200 11520 11760 240 240 240 0 124 124 124 12524 12896 11656 15252
29760 22080 10800 5040 4080 720 11760 0 0 0 11408 372 3720 4340 9672 15872 30504 24720 18960 11760 7680 6960 9600 14268 0 14378 9424 6448 6820 11532 21700
29760 37076
40 36208 27776 24056 24180 24056 9548 0 0 0 0 0 9840 24480 24720 24960 30960 29760 15252 11656 12896 12524 124 124 124 0 240 240 240 11760 11520 13200
24000 30504 15872 9672 4340 3720 372 11408 0 0 0 11760 720 4080 5040 10800 22080 37076 29760 21700 11532 6820 6448 9424 14378 0 14268 9600 6960 7680 11760
18960 24720
41 45184 34560 26560 22400 23232 23680 9408 0 0 0 0 0 9618 22900 22442 25648 38336 19200 12288 11840 13312 12352 64 64 64 0 458 458 458 9618 10992
19236 40576 21632 15104 9920 3904 3392 192 11200 0 0 0 11908 1374 4580 6870 15572 50880 41344 33600 22080 10816 6272 6080 9088 14400 0 13986 9160 7328 8702
11450 16030
42 62016 48348 36176 25772 21760 23426 24208 9622 0 0 0 0 0 7812 17360 18228 52326 26486 16320 12002 12036 13328 12410 34 34 34 0 868 868 868 7812
13888 54196 28628 20876 16592 10132 3638 3264 102 11356 0 0 0 11284 2604 6076 11284 67558 54196 45866 34816 21930 10574 6154 6052 9112 14200 0 13948 8680 7812
10416 13020
43 86382 68472 52812 36108 24930 21636 23742 24552 9738 0 0 0 0 0 4938 9876 71514 36882 23742 16200 11736 11754 13248 12546 18 18 18 0 1646 1646 1646
8230 71748 37260 26388 22644 17208 9918 3474 3222 54 11430 0 0 0 9876 4938 9876 87822 69372 57690 46404 34506 21870 10566 6120 6066 9180 12936 0 14436 9876
9876 14814
44 99536 79336 63360 44976 29584 20656 18256 20104 20752 8216 0 0 0 0 0 3126 81384 42392 28632 20632 13440 9448 9696 11200 10664 8 8 8 0 3126 3126
3126 80336 41296 27984 23376 19632 14272 8192 2872 2704 24 9632 0 0 0 9378 9378 97112 76208 61288 48304 38392 29008 18568 8936 5128 5104 7760 10240 0 13692
12504 15630
45 63286 50328 40862 30364 20864 13824 9766 8652 9530 9840 3894 0 0 0 0 0 51648 26910 18554 14298 9838 6120 4340 4582 5344 5074 2 2 2 0 5936
5936 51034 26226 17380 13660 11252 9140 6664 3874 1354 1278 6 4566 0 0 0 11872 61580 48432 38238 28800 22354 18124 13870 8866 4238 2420 2414 3680 7776 0
8662 11872
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
11264 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7376
0 0
47 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4332 21368 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15596
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
25256 0
48 20775 12554 12556 15244 24118 40020 61087 82370 104521 133366 176167 240858 334323 449256 560337 707660 29589 2 4 4338 11424 18079 28614 39513 49651 62577 83854 116867 157589 203969 301132
581274 0 2 7778 17326 22831 21692 22925 30546 44779 64328 89520 121548 158355 202414 299851 580090 0 0 38569 40657 43235 40795 49902 69146 99023 137632 184964 247010 334448 445453
556737 704625
49 0 0 0 4330 12899 15870 12542 11554 15360 24882 38584 54686 73436 95082 117120 148288 0 0 0 0 4564 12032 7630 4728 5716 10512 18212 27176 35252 43332 63026
121736 25256 0 8664 8194 2 10 2556 8696 13670 16312 18306 22838 30962 41866 62984 121772 0 0 0 28066 10 3904 5958 18880 27580 32556 37252 47512 66710 92508
117110 147836
50 0 0 0 0 9124 24200 26000 20788 19646 26568 42454 65412 93022 122200 149202 187892 0 0 0 0 0 9624 19028 12722 8208 10290 18674 31510 44380 55626 79822
153218 13312 20688 0 13700 8632 8 30 5388 14738 22344 27066 31296 38576 50996 77886 151548 30790 0 0 0 34152 30 8246 12574 31488 44760 53182 62840 82372 112496
143932 182734
51 7014 4330 0 0 0 13222 30721 30778 24792 23716 32392 51898 79860 109892 135116 169154 7014 0 0 0 0 0 12680 21998 15116 10102 13134 23482 37208 49810 71934
137450 7014 7014 14790 0 14456 7972 20 66 7092 17750 26758 32578 37026 45440 68870 134650 23242 36094 0 0 0 35170 66 10886 16546 37300 52360 63308 77102 99672
126544 161726
52 19632 18027 9124 0 0 0 15192 32392 32080 25880 24930 34540 55450 81900 104150 130320 15938 7388 0 0 0 0 0 13320 22660 15770 10980 14550 24670 36850 55600
106710 12244 3694 9310 13934 0 13988 8440 40 130 7540 18790 28220 33110 37400 54040 105140 15938 12244 39672 0 0 0 37316 130 11450 17330 38480 54580 67410 81560
99580 127240
53 31630 29684 28254 13222 0 0 0 15604 32535 32484 26260 25868 36304 55684 74904 94964 23236 14842 9730 0 0 0 0 0 13224 23008 16324 11840 15480 24864 40680
79664 16788 6448 1946 10814 14882 0 14062 9240 76 252 7800 19360 27644 31504 42588 81220 14232 12286 6448 40542 0 0 0 39696 252 11424 17276 39160 56392 68960
80000 100616
54 39090 32298 34668 32733 15192 0 0 0 15570 32538 32584 26874 27600 37786 52514 68510 28902 16662 18006 12312 0 0 0 0 0 13286 23570 16972 12726 16918 29306
59054 24162 10896 3396 1026 10338 15226 0 14414 9494 146 488 8276 19016 25460 33994 63254 23844 15708 12630 3396 40508 0 0 0 40798 488 11730 17716 40184 56338
65602 80376
55 43860 33300 30972 34008 32964 15604 0 0 0 15570 32601 32842 28434 30126 38856 51994 34920 18084 15756 21996 13500 0 0 0 0 0 13536 23732 16798 13984 21868
44392 34752 17916 8976 1788 540 9516 14940 0 14660 9354 282 938 8644 17552 25902 48144 41028 32256 17988 13128 1788 40580 0 0 0 40836 938 12500 18422 38856
50112 61000
56 51994 38856 30126 28434 32842 32601 15570 0 0 0 15604 32964 34008 30972 33300 43860 44392 21868 13984 16798 23732 13536 0 0 0 0 0 13500 21996 15756 18084
34920 48144 25902 17552 8644 938 282 9354 14660 0 14940 9516 540 1788 8976 17916 34752 61000 50112 38856 18422 12500 938 40836 0 0 0 40580 1788 13128 17988
32256 41028
57 68510 52514 37786 27600 26874 32584 32538 15570 0 0 0 15192 32733 34668 32298 39090 59054 29306 16918 12726 16972 23570 13286 0 0 0 0 0 12312 18006 16662
28902 63254 33994 25460 19016 8276 488 146 9494 14414 0 15226 10338 1026 3396 10896 24162 80376 65602 56338 40184 17716 11730 488 40798 0 0 0 40508 3396 12630
15708 23844
58 94964 74904 55684 36304 25868 26260 32484 32535 15604 0 0 0 13222 28254 29684 31630 79664 40680 24864 15480 11840 16324 23008 13224 0 0 0 0 0 9730 14842
23236 81220 42588 31504 27644 19360 7800 252 76 9240 14062 0 14882 10814 1946 6448 16788 100616 80000 68960 56392 39160 17276 11424 252 39696 0 0 0 40542 6448
12286 14232
59 130320 104150 81900 55450 34540 24930 25880 32080 32392 15192 0 0 0 9124 18027 19632 106710 55600 36850 24670 14550 10980 15770 22660 13320 0 0 0 0 0 7388
15938 105140 54040 37400 33110 28220 18790 7540 130 40 8440 13988 0 13934 9310 3694 12244 127240 99580 81560 67410 54580 38480 17330 11450 130 37316 0 0 0 39672
12244 15938
60 169154 135116 109892 79860 51898 32392 23716 24792 30778 30721 13222 0 0 0 4330 7014 137450 71934 49810 37208 23482 13134 10102 15116 21998 12680 0 0 0 0 0
7014 134650 68870 45440 37026 32578 26758 17750 7092 66 20 7972 14456 0 14790 7014 7014 161726 126544 99672 77102 63308 52360 37300 16546 10886 66 35170 0 0 0
36094 23242
61 187892 149202 122200 93022 65412 42454 26568 19646 20788 26000 24200 9124 0 0 0 0 153218 79822 55626 44380 31510 18674 10290 8208 12722 19028 9624 0 0 0 0
0 151548 77886 50996 38576 31296 27066 22344 14738 5388 30 8 8632 13700 0 20688 13312 182734 143932 112496 82372 62840 53182 44760 31488 12574 8246 30 34152 0 0
0 30790
62 148288 117120 95082 73436 54686 38584 24882 15360 11554 12542 15870 12899 4330 0 0 0 121736 63026 43332 35252 27176 18212 10512 5716 4728 7630 12032 4564 0 0 0
0 121772 62984 41866 30962 22838 18306 16312 13670 8696 2556 10 2 8194 8664 0 25256 147836 117110 92508 66710 47512 37252 32556 27580 18880 5958 3904 10 28066 0
0 0
63 707660 560337 449256 334323 240858 176167 133366 104521 82370 61087 40020 24118 15244 12556 12554 20775 581274 301132 203969 157589 116867 83854 62577 49651 39513 28614 18079 11424 4338 4 2
29589 580090 299851 202414 158355 121548 89520 64328 44779 30546 22925 21692 22831 17326 7778 2 0 704625 556737 445453 334448 247010 184964 137632 99023 69146 49902 40795 43235 40657 38569
0 0
Sum of all rows = 4(3*0 + 2*2 + 1*4 + 1*4338 + 1*7778 + 1*11424 + 1*12554 + 1*12556 + 1*15244 + 1*17326 + 1*18079 + 1*20775 + 1*21692 + 1*22831 + 1*22925 + 1*24118 + 1*28614 + 1*29589 + 1*30546 + 1*38569 +
1*39513 + 1*40020 + 1*40657 + 1*40795 + 1*43235 + 1*44779 + 1*49651 + 1*49902 + 1*61087 + 1*62577 + 1*64328 + 1*69146 + 1*82370 + 1*83854 + 1*89520 + 1*99023 + 1*104521 + 1*116867 + 1*121548 +
1*133366 + 1*137632 + 1*157589 + 1*158355 + 1*176167 + 1*184964 + 1*202414 + 1*203969 + 1*240858 + 1*247010 + 1*299851 + 1*301132 + 1*334323 + 1*334448 + 1*445453 + 1*449256 + 1*556737 +
1*560337 + 1*580090 + 1*581274 + 1*704625 + 1*707660) +
4(11*0 + 1*2 + 2*10 + 1*2556 + 1*3904 + 1*4330 + 1*4564 + 1*4728 + 1*5716 + 1*5958 + 1*7630 + 1*8194 + 1*8664 + 1*8696 + 1*10512 + 1*11554 + 1*12032 + 1*12542 + 1*12899 + 1*13670 + 1*15360 +
1*15870 + 1*16312 + 1*18212 + 1*18306 + 1*18880 + 1*22838 + 1*24882 + 1*25256 + 1*27176 + 1*27580 + 1*28066 + 1*30962 + 1*32556 + 1*35252 + 1*37252 + 1*38584 + 1*41866 + 1*43332 + 1*47512 +
1*54686 + 1*62984 + 1*63026 + 1*66710 + 1*73436 + 1*92508 + 1*95082 + 1*117110 + 1*117120 + 1*121736 + 1*121772 + 1*147836 + 1*148288) +
4(13*0 + 1*8 + 2*30 + 1*5388 + 1*8208 + 1*8246 + 1*8632 + 1*9124 + 1*9624 + 1*10290 + 1*12574 + 1*12722 + 1*13312 + 1*13700 + 1*14738 + 1*18674 + 1*19028 + 1*19646 + 1*20688 + 1*20788 +
1*22344 + 1*24200 + 1*26000 + 1*26568 + 1*27066 + 1*30790 + 1*31296 + 1*31488 + 1*31510 + 1*34152 + 1*38576 + 1*42454 + 1*44380 + 1*44760 + 1*50996 + 1*53182 + 1*55626 + 1*62840 + 1*65412 +
1*77886 + 1*79822 + 1*82372 + 1*93022 + 1*112496 + 1*122200 + 1*143932 + 1*149202 + 1*151548 + 1*153218 + 1*182734 + 1*187892) +
4(12*0 + 1*20 + 2*66 + 1*4330 + 4*7014 + 1*7092 + 1*7972 + 1*10102 + 1*10886 + 1*12680 + 1*13134 + 1*13222 + 1*14456 + 1*14790 + 1*15116 + 1*16546 + 1*17750 + 1*21998 + 1*23242 + 1*23482 +
1*23716 + 1*24792 + 1*26758 + 1*30721 + 1*30778 + 1*32392 + 1*32578 + 1*35170 + 1*36094 + 1*37026 + 1*37208 + 1*37300 + 1*45440 + 1*49810 + 1*51898 + 1*52360 + 1*63308 + 1*68870 + 1*71934 +
1*77102 + 1*79860 + 1*99672 + 1*109892 + 1*126544 + 1*134650 + 1*135116 + 1*137450 + 1*161726 + 1*169154) +
4(12*0 + 1*40 + 2*130 + 1*3694 + 1*7388 + 1*7540 + 1*8440 + 1*9124 + 1*9310 + 1*10980 + 1*11450 + 2*12244 + 1*13320 + 1*13934 + 1*13988 + 1*14550 + 1*15192 + 1*15770 + 2*15938 + 1*17330 +
1*18027 + 1*18790 + 1*19632 + 1*22660 + 1*24670 + 1*24930 + 1*25880 + 1*28220 + 1*32080 + 1*32392 + 1*33110 + 1*34540 + 1*36850 + 1*37316 + 1*37400 + 1*38480 + 1*39672 + 1*54040 + 1*54580 +
1*55450 + 1*55600 + 1*67410 + 1*81560 + 1*81900 + 1*99580 + 1*104150 + 1*105140 + 1*106710 + 1*127240 + 1*130320) +
4(12*0 + 1*76 + 2*252 + 1*1946 + 2*6448 + 1*7800 + 1*9240 + 1*9730 + 1*10814 + 1*11424 + 1*11840 + 1*12286 + 1*13222 + 1*13224 + 1*14062 + 1*14232 + 1*14842 + 1*14882 + 1*15480 + 1*15604 +
1*16324 + 1*16788 + 1*17276 + 1*19360 + 1*23008 + 1*23236 + 1*24864 + 1*25868 + 1*26260 + 1*27644 + 1*28254 + 1*29684 + 1*31504 + 1*31630 + 1*32484 + 1*32535 + 1*36304 + 1*39160 + 1*39696 +
1*40542 + 1*40680 + 1*42588 + 1*55684 + 1*56392 + 1*68960 + 1*74904 + 1*79664 + 1*80000 + 1*81220 + 1*94964 + 1*100616) +
4(12*0 + 1*146 + 2*488 + 1*1026 + 2*3396 + 1*8276 + 1*9494 + 1*10338 + 1*10896 + 1*11730 + 1*12312 + 1*12630 + 1*12726 + 1*13286 + 1*14414 + 1*15192 + 1*15226 + 1*15570 + 1*15708 + 1*16662 +
1*16918 + 1*16972 + 1*17716 + 1*18006 + 1*19016 + 1*23570 + 1*23844 + 1*24162 + 1*25460 + 1*26874 + 1*27600 + 1*28902 + 1*29306 + 1*32298 + 1*32538 + 1*32584 + 1*32733 + 1*33994 + 1*34668 +
1*37786 + 1*39090 + 1*40184 + 1*40508 + 1*40798 + 1*52514 + 1*56338 + 1*59054 + 1*63254 + 1*65602 + 1*68510 + 1*80376) +
4(12*0 + 1*282 + 1*540 + 2*938 + 2*1788 + 1*8644 + 1*8976 + 1*9354 + 1*9516 + 1*12500 + 1*13128 + 1*13500 + 1*13536 + 1*13984 + 1*14660 + 1*14940 + 1*15570 + 1*15604 + 1*15756 + 1*16798 +
1*17552 + 1*17916 + 1*17988 + 1*18084 + 1*18422 + 1*21868 + 1*21996 + 1*23732 + 1*25902 + 1*28434 + 1*30126 + 1*30972 + 1*32256 + 1*32601 + 1*32842 + 1*32964 + 1*33300 + 1*34008 + 1*34752 +
1*34920 + 1*38856 + 1*38856 + 1*40580 + 1*40836 + 1*41028 + 1*43860 + 1*44392 + 1*48144 + 1*50112 + 1*51994 + 1*61000) +
4(60*0 + 1*4332 + 1*15596 + 1*21368 + 1*25256) +
4(62*0 + 1*7376 + 1*11264) +
4(10*0 + 3*2 + 1*6 + 1*1278 + 1*1354 + 1*2414 + 1*2420 + 1*3680 + 1*3874 + 1*3894 + 1*4238 + 1*4340 + 1*4566 + 1*4582 + 1*5074 + 1*5344 + 2*5936 + 1*6120 + 1*6664 + 1*7776 + 1*8652 + 1*8662 +
1*8866 + 1*9140 + 1*9530 + 1*9766 + 1*9838 + 1*9840 + 1*11252 + 1*11872 + 1*11872 + 1*13660 + 1*13824 + 1*13870 + 1*14298 + 1*17380 + 1*18124 + 1*18554 + 1*20864 + 1*22354 + 1*26226 +
1*26910 + 1*28800 + 1*30364 + 1*38238 + 1*40862 + 1*48432 + 1*50328 + 1*51034 + 1*51648 + 1*61580 + 1*63286) +
4(10*0 + 3*8 + 1*24 + 1*2704 + 1*2872 + 4*3126 + 1*5104 + 1*5128 + 1*7760 + 1*8192 + 1*8216 + 1*8936 + 2*9378 + 1*9448 + 1*9632 + 1*9696 + 1*10240 + 1*10664 + 1*11200 + 1*12504 + 1*13440 +
1*13692 + 1*14272 + 1*15630 + 1*18256 + 1*18568 + 1*19632 + 1*20104 + 1*20632 + 1*20656 + 1*20752 + 1*23376 + 1*27984 + 1*28632 + 1*29008 + 1*29584 + 1*38392 + 1*41296 + 1*42392 + 1*44976 +
1*48304 + 1*61288 + 1*63360 + 1*76208 + 1*79336 + 1*80336 + 1*81384 + 1*97112 + 1*99536) +
4(10*0 + 3*18 + 1*54 + 3*1646 + 1*3222 + 1*3474 + 2*4938 + 1*6066 + 1*6120 + 1*8230 + 1*9180 + 1*9738 + 5*9876 + 1*9918 + 1*10566 + 1*11430 + 1*11736 + 1*11754 + 1*12546 + 1*12936 + 1*13248 +
1*14436 + 1*14814 + 1*16200 + 1*17208 + 1*21636 + 1*21870 + 1*22644 + 1*23742 + 1*23742 + 1*24552 + 1*24930 + 1*26388 + 1*34506 + 1*36108 + 1*36882 + 1*37260 + 1*46404 + 1*52812 + 1*57690 +
1*68472 + 1*69372 + 1*71514 + 1*71748 + 1*86382 + 1*87822) +
4(10*0 + 3*34 + 1*102 + 3*868 + 1*2604 + 1*3264 + 1*3638 + 1*6052 + 1*6076 + 1*6154 + 3*7812 + 1*8680 + 1*9112 + 1*9622 + 1*10132 + 1*10416 + 1*10574 + 1*11284 + 1*11284 + 1*11356 + 1*12002 +
1*12036 + 1*12410 + 1*13020 + 1*13328 + 1*13888 + 1*13948 + 1*14200 + 1*16320 + 1*16592 + 1*17360 + 1*18228 + 1*20876 + 1*21760 + 1*21930 + 1*23426 + 1*24208 + 1*25772 + 1*26486 + 1*28628 +
1*34816 + 1*36176 + 1*45866 + 1*48348 + 1*52326 + 1*54196 + 1*54196 + 1*62016 + 1*67558) +
4(10*0 + 3*64 + 1*192 + 3*458 + 1*1374 + 1*3392 + 1*3904 + 1*4580 + 1*6080 + 1*6272 + 1*6870 + 1*7328 + 1*8702 + 1*9088 + 1*9160 + 1*9408 + 2*9618 + 1*9920 + 1*10816 + 1*10992 + 1*11200 +
1*11450 + 1*11840 + 1*11908 + 1*12288 + 1*12352 + 1*13312 + 1*13986 + 1*14400 + 1*15104 + 1*15572 + 1*16030 + 1*19200 + 1*19236 + 1*21632 + 1*22080 + 1*22400 + 1*22442 + 1*22900 + 1*23232 +
1*23680 + 1*25648 + 1*26560 + 1*33600 + 1*34560 + 1*38336 + 1*40576 + 1*41344 + 1*45184 + 1*50880) +
4(10*0 + 3*124 + 3*240 + 1*372 + 1*720 + 1*3720 + 1*4080 + 1*4340 + 1*5040 + 1*6448 + 1*6820 + 1*6960 + 1*7680 + 1*9424 + 1*9548 + 1*9600 + 1*9672 + 1*9840 + 1*10800 + 1*11408 + 1*11520 +
1*11532 + 1*11656 + 3*11760 + 1*12524 + 1*12896 + 1*13200 + 1*14268 + 1*14378 + 1*15252 + 1*15872 + 1*18960 + 1*21700 + 1*22080 + 1*24000 + 2*24056 + 1*24180 + 1*24480 + 2*24720 + 1*24960 +
1*27776 + 2*29760 + 1*30504 + 1*30960 + 1*36208 + 1*37076)
= 37359476 + 7946076 + 10021656 + 9097300 + 7428012 + 6168788 + 5378300 + 4972132 + 266208 + 74560 + 3437712 + 5366968 + 4854400 + 3873632 + 3287248 + 3063592
= 112596060
Value repetition frequencies = 4(59*1 + 1*2 + 1*3) +
4(51*1 + 1*2 + 1*11) +
4(49*1 + 1*2 + 1*13) +
4(46*1 + 1*2 + 1*4 + 1*12) +
4(46*1 + 3*2 + 1*12) +
4(48*1 + 2*2 + 1*12) +
4(48*1 + 2*2 + 1*12) +
4(48*1 + 2*2 + 1*12) +
4(4*1 + 1*60) +
4(2*1 + 1*62) +
4(49*1 + 1*2 + 1*3 + 1*10) +
4(45*1 + 1*2 + 1*3 + 1*4 + 1*10) +
4(41*1 + 1*2 + 2*3 + 1*5 + 1*10) +
4(45*1 + 3*3 + 1*10) +
4(46*1 + 1*2 + 2*3 + 1*10) +
4(39*1 + 3*2 + 3*3 + 1*10)
= 4096
Number of distinct row element sets = 16
Number of rows = 16*4
= 64
Number of distinct values = 673
Distinct values 0 2 4 6 8 10 18 20 24 30 34 40 54 64 66 76 102 124 130 146
Frequency 1076 24 4 4 16 8 12 4 4 8 12 4 4 12 8 4 4 12 8 4
Distinct values 192 240 252 282 372 458 488 540 720 868 938 1026 1278 1354 1374 1646 1788 1946 2414 2420
Frequency 4 12 8 4 4 12 8 4 4 12 8 4 4 4 4 12 8 4 4 4
Distinct values 2556 2604 2704 2872 3126 3222 3264 3392 3396 3474 3638 3680 3694 3720 3874 3894 3904 4080 4238 4330
Frequency 4 4 4 4 16 4 4 4 8 4 4 4 4 4 4 4 8 4 4 8
Distinct values 4332 4338 4340 4564 4566 4580 4582 4728 4938 5040 5074 5104 5128 5344 5388 5716 5936 5958 6052 6066
Frequency 4 4 8 4 4 4 4 4 8 4 4 4 4 4 4 4 8 4 4 4
Distinct values 6076 6080 6120 6154 6272 6448 6664 6820 6870 6960 7014 7092 7328 7376 7388 7540 7630 7680 7760 7776
Frequency 4 4 8 4 4 12 4 4 4 4 16 4 4 4 4 4 4 4 4 4
Distinct values 7778 7800 7812 7972 8192 8194 8208 8216 8230 8246 8276 8440 8632 8644 8652 8662 8664 8680 8696 8702
Frequency 4 4 12 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 8866 8936 8976 9088 9112 9124 9140 9160 9180 9240 9310 9354 9378 9408 9424 9448 9494 9516 9530 9548
Frequency 4 4 4 4 4 8 4 4 4 4 4 4 8 4 4 4 4 4 4 4
Distinct values 9600 9618 9622 9624 9632 9672 9696 9730 9738 9766 9838 9840 9876 9918 9920 10102 10132 10240 10290 10338
Frequency 4 8 4 4 4 4 4 4 4 4 4 8 20 4 4 4 4 4 4 4
Distinct values 10416 10512 10566 10574 10664 10800 10814 10816 10886 10896 10980 10992 11200 11252 11264 11284 11356 11408 11424 11430
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4 8 4 4 8 4
Distinct values 11450 11520 11532 11554 11656 11730 11736 11754 11760 11840 11872 11908 12002 12032 12036 12244 12286 12288 12312 12352
Frequency 8 4 4 4 4 4 4 4 12 8 8 4 4 4 4 8 4 4 4 4
Distinct values 12410 12500 12504 12524 12542 12546 12554 12556 12574 12630 12680 12722 12726 12896 12899 12936 13020 13128 13134 13200
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 13222 13224 13248 13286 13312 13320 13328 13440 13500 13536 13660 13670 13692 13700 13824 13870 13888 13934 13948 13984
Frequency 8 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 13986 13988 14062 14200 14232 14268 14272 14298 14378 14400 14414 14436 14456 14550 14660 14738 14790 14814 14842 14882
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 14940 15104 15116 15192 15226 15244 15252 15360 15480 15570 15572 15596 15604 15630 15708 15756 15770 15870 15872 15938
Frequency 4 4 4 8 4 4 4 4 4 8 4 4 8 4 4 4 4 4 4 8
Distinct values 16030 16200 16312 16320 16324 16546 16592 16662 16788 16798 16918 16972 17208 17276 17326 17330 17360 17380 17552 17716
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 17750 17916 17988 18006 18027 18079 18084 18124 18212 18228 18256 18306 18422 18554 18568 18674 18790 18880 18960 19016
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 19028 19200 19236 19360 19632 19646 20104 20632 20656 20688 20752 20775 20788 20864 20876 21368 21632 21636 21692 21700
Frequency 4 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 21760 21868 21870 21930 21996 21998 22080 22344 22354 22400 22442 22644 22660 22831 22838 22900 22925 23008 23232 23236
Frequency 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 23242 23376 23426 23482 23570 23680 23716 23732 23742 23844 24000 24056 24118 24162 24180 24200 24208 24480 24552 24670
Frequency 4 4 4 4 4 4 4 4 8 4 4 8 4 4 4 4 4 4 4 4
Distinct values 24720 24792 24864 24882 24930 24960 25256 25460 25648 25772 25868 25880 25902 26000 26226 26260 26388 26486 26560 26568
Frequency 8 4 4 4 8 4 8 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 26758 26874 26910 27066 27176 27580 27600 27644 27776 27984 28066 28220 28254 28434 28614 28628 28632 28800 28902 29008
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 29306 29584 29589 29684 29760 30126 30364 30504 30546 30721 30778 30790 30960 30962 30972 31296 31488 31504 31510 31630
Frequency 4 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 32080 32256 32298 32392 32484 32535 32538 32556 32578 32584 32601 32733 32842 32964 33110 33300 33600 33994 34008 34152
Frequency 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 34506 34540 34560 34668 34752 34816 34920 35170 35252 36094 36108 36176 36208 36304 36850 36882 37026 37076 37208 37252
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 37260 37300 37316 37400 37786 38238 38336 38392 38480 38569 38576 38584 38856 39090 39160 39513 39672 39696 40020 40184
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4
Distinct values 40508 40542 40576 40580 40657 40680 40795 40798 40836 40862 41028 41296 41344 41866 42392 42454 42588 43235 43332 43860
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 44380 44392 44760 44779 44976 45184 45440 45866 46404 47512 48144 48304 48348 48432 49651 49810 49902 50112 50328 50880
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 50996 51034 51648 51898 51994 52326 52360 52514 52812 53182 54040 54196 54580 54686 55450 55600 55626 55684 56338 56392
Frequency 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4
Distinct values 57690 59054 61000 61087 61288 61580 62016 62577 62840 62984 63026 63254 63286 63308 63360 64328 65412 65602 66710 67410
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 67558 68472 68510 68870 68960 69146 69372 71514 71748 71934 73436 74904 76208 77102 77886 79336 79664 79822 79860 80000
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 80336 80376 81220 81384 81560 81900 82370 82372 83854 86382 87822 89520 92508 93022 94964 95082 97112 99023 99536 99580
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 99672 100616 104150 104521 105140 106710 109892 112496 116867 117110 117120 121548 121736 121772 122200 126544 127240 130320 133366 134650
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 135116 137450 137632 143932 147836 148288 149202 151548 153218 157589 158355 161726 169154 176167 182734 184964 187892 202414 203969 240858
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 247010 299851 301132 334323 334448 445453 449256 556737 560337 580090 581274 704625 707660
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4
Sum of distinct value frequencies = 613*4 + 43*8 + 11*12 + 3*16 + 1*20 + 1*24 + 1*1076
= 4096
Number of SN-EN pairs for which the number of CNSAPs is greater than zero = 4*2 + 4*4 + 4*51 + 20*52 + 4*53 + 24*54 + 4*61
= 3020
Number of SN-EN pairs, with SN != EN, for which the number of CNSAPs equals zero = 1012
Number of possible SN-EN pairs with SN != EN = 63*64
= 4032
a = 17, b = 4
L C
3 8
4 16
5 40
6 80
7 200
8 284
9 696
10 1060
11 3028
12 4224
13 10408
14 15036
15 32472
16 50996
17 99016
18 163652
19 302212
20 510808
21 921916
22 1556312
23 2684736
24 4275948
25 6671268
26 9486256
27 12922900
28 16333512
29 20139788
30 22684400
31 25111696
32 25850052
33 25929204
34 23571480
35 22145984
36 18074392
37 15900672
38 11113648
39 9666972
40 5402020
41 4856056
42 1750496
43 1133396
44 226788
45 27056
46 1696
Total 289632880
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
L
3 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 2 0
0 2 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
4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 0
0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 0 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 0
1 0 4 2 0 0 0 0 0 0 0 0 0 2 4 0 1
1 0 4 2 0 0 0 0 0 0 0 0 0 2 4 0 1
0 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 0
6 3 0 6 3 0 0 0 0 0 0 0 0 0 3 6 0 3
0 0 0 6 2 0 0 0 0 0 0 0 2 6 0 0 0
0 0 0 6 2 0 0 0 0 0 0 0 2 6 0 0 0
3 0 6 3 0 0 0 0 0 0 0 0 0 3 6 0 3
7 0 3 1 12 5 0 0 0 0 0 0 0 5 12 1 3 0
2 2 2 4 10 4 2 2 2 2 2 4 10 4 2 2 2
2 2 2 4 10 4 2 2 2 2 2 4 10 4 2 2 2
0 3 1 12 5 0 0 0 0 0 0 0 5 12 1 3 0
8 3 1 2 3 20 7 0 0 0 0 0 7 20 3 2 1 3
1 1 1 4 9 12 4 2 2 2 4 12 9 4 1 1 1
1 1 1 4 9 12 4 2 2 2 4 12 9 4 1 1 1
3 1 2 3 20 7 0 0 0 0 0 7 20 3 2 1 3
9 4 6 5 6 13 34 13 4 4 4 13 34 13 6 5 6 4
6 4 4 7 15 22 18 8 6 8 18 22 15 7 4 4 6
6 4 4 7 15 22 18 8 6 8 18 22 15 7 4 4 6
4 6 5 6 13 34 13 4 4 4 13 34 13 6 5 6 4
10 6 4 5 10 9 27 48 17 6 17 48 27 9 10 5 4 6
4 4 4 6 18 35 37 22 12 22 37 35 18 6 4 4 4
4 4 4 6 18 35 37 22 12 22 37 35 18 6 4 4 4
6 4 5 10 9 27 48 17 6 17 48 27 9 10 5 4 6
11 19 24 26 29 47 44 74 88 58 88 74 44 47 29 26 24 19
20 18 17 28 30 63 92 78 62 78 92 63 30 28 17 18 20
20 18 17 28 30 63 92 78 62 78 92 63 30 28 17 18 20
19 24 26 29 47 44 74 88 58 88 74 44 47 29 26 24 19
12 21 20 23 36 39 84 80 129 182 129 80 84 39 36 23 20 21
18 18 18 19 37 43 121 174 170 174 121 43 37 19 18 18 18
18 18 18 19 37 43 121 174 170 174 121 43 37 19 18 18 18
21 20 23 36 39 84 80 129 182 129 80 84 39 36 23 20 21
13 50 73 84 93 133 138 260 326 378 326 260 138 133 93 84 73 50
62 60 57 65 87 118 162 383 524 383 162 118 87 65 57 60 62
62 60 57 65 87 118 162 383 524 383 162 118 87 65 57 60 62
50 73 84 93 133 138 260 326 378 326 260 138 133 93 84 73 50
14 73 69 79 106 102 185 301 609 632 609 301 185 102 106 79 69 73
80 81 85 84 94 153 306 598 876 598 306 153 94 84 85 81 80
80 81 85 84 94 153 306 598 876 598 306 153 94 84 85 81 80
73 69 79 106 102 185 301 609 632 609 301 185 102 106 79 69 73
15 150 191 228 254 347 490 750 1031 1530 1031 750 490 347 254 228 191 150
195 198 191 211 240 427 845 1119 972 1119 845 427 240 211 191 198 195
195 198 191 211 240 427 845 1119 972 1119 845 427 240 211 191 198 195
150 191 228 254 347 490 750 1031 1530 1031 750 490 347 254 228 191 150
16 266 272 293 364 493 857 1384 1779 1380 1779 1384 857 493 364 293 272 266
294 300 319 350 540 1047 1565 1343 1186 1343 1565 1047 540 350 319 300 294
294 300 319 350 540 1047 1565 1343 1186 1343 1565 1047 540 350 319 300 294
266 272 293 364 493 857 1384 1779 1380 1779 1384 857 493 364 293 272 266
17 513 606 682 913 1451 2290 3135 2393 1920 2393 3135 2290 1451 913 682 606 513
595 616 638 882 1622 2513 2314 1806 1650 1806 2314 2513 1622 882 638 616 595
595 616 638 882 1622 2513 2314 1806 1650 1806 2314 2513 1622 882 638 616 595
513 606 682 913 1451 2290 3135 2393 1920 2393 3135 2290 1451 913 682 606 513
18 938 1033 1273 1921 3288 4805 3616 2647 2942 2647 3616 4805 3288 1921 1273 1033 938
980 1037 1312 2356 3929 4097 3201 2223 1572 2223 3201 4097 3929 2356 1312 1037 980
980 1037 1312 2356 3929 4097 3201 2223 1572 2223 3201 4097 3929 2356 1312 1037 980
938 1033 1273 1921 3288 4805 3616 2647 2942 2647 3616 4805 3288 1921 1273 1033 938
19 1762 2226 3119 5411 8282 7041 4991 4707 3924 4707 4991 7041 8282 5411 3119 2226 1762
1906 2256 3626 6192 7478 6711 4449 2358 2152 2358 4449 6711 7478 6192 3626 2256 1906
1906 2256 3626 6192 7478 6711 4449 2358 2152 2358 4449 6711 7478 6192 3626 2256 1906
1762 2226 3119 5411 8282 7041 4991 4707 3924 4707 4991 7041 8282 5411 3119 2226 1762
20 3392 4690 8159 12973 12299 9125 7749 5001 4796 5001 7749 9125 12299 12973 8159 4690 3392
3638 5497 9421 12808 13020 9237 4539 2744 2024 2744 4539 9237 13020 12808 9421 5497 3638
3638 5497 9421 12808 13020 9237 4539 2744 2024 2744 4539 9237 13020 12808 9421 5497 3638
3392 4690 8159 12973 12299 9125 7749 5001 4796 5001 7749 9125 12299 12973 8159 4690 3392
21 7313 12796 21014 22707 19041 16028 10000 7908 6546 7908 10000 16028 19041 22707 21014 12796 7313
8806 14729 21693 24658 19435 10312 5995 3531 2480 3531 5995 10312 19435 24658 21693 14729 8806
8806 14729 21693 24658 19435 10312 5995 3531 2480 3531 5995 10312 19435 24658 21693 14729 8806
7313 12796 21014 22707 19041 16028 10000 7908 6546 7908 10000 16028 19041 22707 21014 12796 7313
22 18880 32515 39255 36536 31004 18449 12375 8671 8004 8671 12375 18449 31004 36536 39255 32515 18880
22431 35322 44315 38743 22304 12474 6924 3559 2638 3559 6924 12474 22304 38743 44315 35322 22431
22431 35322 44315 38743 22304 12474 6924 3559 2638 3559 6924 12474 22304 38743 44315 35322 22431
18880 32515 39255 36536 31004 18449 12375 8671 8004 8671 12375 18449 31004 36536 39255 32515 18880
23 49608 67095 70209 63224 39582 25565 18155 13810 11756 13810 18155 25565 39582 63224 70209 67095 49608
56645 77710 75479 48805 28211 16031 7913 4935 4658 4935 7913 16031 28211 48805 75479 77710 56645
56645 77710 75479 48805 28211 16031 7913 4935 4658 4935 7913 16031 28211 48805 75479 77710 56645
49608 67095 70209 63224 39582 25565 18155 13810 11756 13810 18155 25565 39582 63224 70209 67095 49608
24 108184 127489 122511 80276 49656 34251 21497 14839 13886 14839 21497 34251 49656 80276 122511 127489 108184
130226 140567 102080 62033 35082 16241 8607 6011 4988 6011 8607 16241 35082 62033 102080 140567 130226
130226 140567 102080 62033 35082 16241 8607 6011 4988 6011 8607 16241 35082 62033 102080 140567 130226
108184 127489 122511 80276 49656 34251 21497 14839 13886 14839 21497 34251 49656 80276 122511 127489 108184
25 219895 232438 165421 105151 74794 46015 30938 23933 20840 23933 30938 46015 74794 105151 165421 232438 219895
251920 207433 136607 79677 38124 19959 11800 8920 8744 8920 11800 19959 38124 79677 136607 207433 251920
251920 207433 136607 79677 38124 19959 11800 8920 8744 8920 11800 19959 38124 79677 136607 207433 251920
219895 232438 165421 105151 74794 46015 30938 23933 20840 23933 30938 46015 74794 105151 165421 232438 219895
26 409352 324816 215598 153859 91923 57491 36529 25825 23256 25825 36529 57491 91923 153859 215598 324816 409352
396856 289687 176134 86066 43663 22033 13849 11395 9720 11395 13849 22033 43663 86066 176134 289687 396856
396856 289687 176134 86066 43663 22033 13849 11395 9720 11395 13849 22033 43663 86066 176134 289687 396856
409352 324816 215598 153859 91923 57491 36529 25825 23256 25825 36529 57491 91923 153859 215598 324816 409352
27 584896 431652 319765 196935 124666 77963 53732 40378 35506 40378 53732 77963 124666 196935 319765 431652 584896
578536 381221 196097 101301 50850 29451 21309 16144 16152 16144 21309 29451 50850 101301 196097 381221 578536
578536 381221 196097 101301 50850 29451 21309 16144 16152 16144 21309 29451 50850 101301 196097 381221 578536
584896 431652 319765 196935 124666 77963 53732 40378 35506 40378 53732 77963 124666 196935 319765 431652 584896
28 753786 613471 396647 251612 154595 99439 62342 43734 39010 43734 62342 99439 154595 251612 396647 613471 753786
771872 424745 225317 113995 59232 37552 25772 20962 17600 20962 25772 37552 59232 113995 225317 424745 771872
771872 424745 225317 113995 59232 37552 25772 20962 17600 20962 25772 37552 59232 113995 225317 424745 771872
753786 613471 396647 251612 154595 99439 62342 43734 39010 43734 62342 99439 154595 251612 396647 613471 753786
29 1035593 715933 487024 321709 210354 132698 90211 67446 58884 67446 90211 132698 210354 321709 487024 715933 1035593
871799 481336 251468 127196 78243 53887 38237 28641 27460 28641 38237 53887 78243 127196 251468 481336 871799
871799 481336 251468 127196 78243 53887 38237 28641 27460 28641 38237 53887 78243 127196 251468 481336 871799
1035593 715933 487024 321709 210354 132698 90211 67446 58884 67446 90211 132698 210354 321709 487024 715933 1035593
30 1140146 804381 569695 389704 251858 163484 104606 73437 66690 73437 104606 163484 251858 389704 569695 804381 1140146
959896 515771 249980 148354 100575 67534 47686 35825 29646 35825 47686 67534 100575 148354 249980 515771 959896
959896 515771 249980 148354 100575 67534 47686 35825 29646 35825 47686 67534 100575 148354 249980 515771 959896
1140146 804381 569695 389704 251858 163484 104606 73437 66690 73437 104606 163484 251858 389704 569695 804381 1140146
31 1133962 901662 645359 444768 316003 211224 146902 112636 96982 112636 146902 211224 316003 444768 645359 901662 1133962
1057570 472490 253229 175970 127829 93729 65394 48186 45040 48186 65394 93729 127829 175970 253229 472490 1057570
1057570 472490 253229 175970 127829 93729 65394 48186 45040 48186 65394 93729 127829 175970 253229 472490 1057570
1133962 901662 645359 444768 316003 211224 146902 112636 96982 112636 146902 211224 316003 444768 645359 901662 1133962
32 1266963 847707 669788 493090 333485 236947 165249 121875 114612 121875 165249 236947 333485 493090 669788 847707 1266963
979301 435013 251925 181697 152284 109855 77640 58297 48182 58297 77640 109855 152284 181697 251925 435013 979301
979301 435013 251925 181697 152284 109855 77640 58297 48182 58297 77640 109855 152284 181697 251925 435013 979301
1266963 847707 669788 493090 333485 236947 165249 121875 114612 121875 165249 236947 333485 493090 669788 847707 1266963
33 1156087 848809 638325 516007 385999 275162 213744 179533 157790 179533 213744 275162 385999 516007 638325 848809 1156087
858650 374019 240008 212955 160632 134543 98361 74453 72238 74453 98361 134543 160632 212955 240008 374019 858650
858650 374019 240008 212955 160632 134543 98361 74453 72238 74453 98361 134543 160632 212955 240008 374019 858650
1156087 848809 638325 516007 385999 275162 213744 179533 157790 179533 213744 275162 385999 516007 638325 848809 1156087
34 930513 759477 648034 467027 359477 281805 215696 178334 181190 178334 215696 281805 359477 467027 648034 759477 930513
727329 283803 206981 206585 184580 125404 104929 86469 71664 86469 104929 125404 184580 206585 206981 283803 727329
727329 283803 206981 206585 184580 125404 104929 86469 71664 86469 104929 125404 184580 206585 206981 283803 727329
930513 759477 648034 467027 359477 281805 215696 178334 181190 178334 215696 281805 359477 467027 648034 759477 930513
35 792121 623577 588063 484351 367539 291703 263345 240838 214076 240838 263345 291703 367539 484351 588063 623577 792121
550838 229380 205621 194076 181159 154479 111495 98811 104124 98811 111495 154479 181159 194076 205621 229380 550838
550838 229380 205621 194076 181159 154479 111495 98811 104124 98811 111495 154479 181159 194076 205621 229380 550838
792121 623577 588063 484351 367539 291703 263345 240838 214076 240838 263345 291703 367539 484351 588063 623577 792121
36 589502 507443 453747 400538 318612 267042 217972 207722 221626 207722 217972 267042 318612 400538 453747 507443 589502
381167 154767 166148 193016 158562 132056 115857 100420 86428 100420 115857 132056 158562 193016 166148 154767 381167
381167 154767 166148 193016 158562 132056 115857 100420 86428 100420 115857 132056 158562 193016 166148 154767 381167
589502 507443 453747 400538 318612 267042 217972 207722 221626 207722 217972 267042 318612 400538 453747 507443 589502
37 403216 390351 391104 331523 308641 273986 255980 241822 238156 241822 255980 273986 308641 331523 391104 390351 403216
275380 111382 135829 170294 159351 131717 114250 104821 112886 104821 114250 131717 159351 170294 135829 111382 275380
275380 111382 135829 170294 159351 131717 114250 104821 112886 104821 114250 131717 159351 170294 135829 111382 275380
403216 390351 391104 331523 308641 273986 255980 241822 238156 241822 255980 273986 308641 331523 391104 390351 403216
38 272535 245901 260052 235329 195321 191703 199382 190251 174994 190251 199382 191703 195321 235329 260052 245901 272535
164850 62234 98885 119341 127825 102510 87390 92133 90546 92133 87390 102510 127825 119341 98885 62234 164850
164850 62234 98885 119341 127825 102510 87390 92133 90546 92133 87390 102510 127825 119341 98885 62234 164850
272535 245901 260052 235329 195321 191703 199382 190251 174994 190251 199382 191703 195321 235329 260052 245901 272535
39 181208 196346 204884 190852 193329 185320 185328 207429 218642 207429 185328 185320 193329 190852 204884 196346 181208
120536 57457 75112 104124 90052 89361 92964 90556 85128 90556 92964 89361 90052 104124 75112 57457 120536
120536 57457 75112 104124 90052 89361 92964 90556 85128 90556 92964 89361 90052 104124 75112 57457 120536
181208 196346 204884 190852 193329 185320 185328 207429 218642 207429 185328 185320 193329 190852 204884 196346 181208
40 106340 100180 106026 105149 85393 96882 116884 121535 128496 121535 116884 96882 85393 105149 106026 100180 106340
56571 14922 46586 63431 62766 50324 52916 63938 72828 63938 52916 50324 62766 63431 46586 14922 56571
56571 14922 46586 63431 62766 50324 52916 63938 72828 63938 52916 50324 62766 63431 46586 14922 56571
106340 100180 106026 105149 85393 96882 116884 121535 128496 121535 116884 96882 85393 105149 106026 100180 106340
41 73261 86985 104630 90072 85764 95267 110618 119578 119520 119578 110618 95267 85764 90072 104630 86985 73261
60746 23353 34176 51278 44628 44124 47722 52976 58152 52976 47722 44124 44628 51278 34176 23353 60746
60746 23353 34176 51278 44628 44124 47722 52976 58152 52976 47722 44124 44628 51278 34176 23353 60746
73261 86985 104630 90072 85764 95267 110618 119578 119520 119578 110618 95267 85764 90072 104630 86985 73261
42 32727 27090 22350 23985 28852 40534 40970 38830 36876 38830 40970 40534 28852 23985 22350 27090 32727
6662 3376 20818 24194 19870 20356 25646 29252 27348 29252 25646 20356 19870 24194 20818 3376 6662
6662 3376 20818 24194 19870 20356 25646 29252 27348 29252 25646 20356 19870 24194 20818 3376 6662
32727 27090 22350 23985 28852 40534 40970 38830 36876 38830 40970 40534 28852 23985 22350 27090 32727
43 15469 24295 25786 16240 18612 27380 31758 25440 20060 25440 31758 27380 18612 16240 25786 24295 15469
15451 4206 9702 11264 9944 10276 10542 11224 11460 11224 10542 10276 9944 11264 9702 4206 15451
15451 4206 9702 11264 9944 10276 10542 11224 11460 11224 10542 10276 9944 11264 9702 4206 15451
15469 24295 25786 16240 18612 27380 31758 25440 20060 25440 31758 27380 18612 16240 25786 24295 15469
44 3393 1842 3180 3420 5088 5788 5040 4898 5520 4898 5040 5788 5088 3420 3180 1842 3393
66 72 4194 2716 1706 3284 4946 3294 2020 3294 4946 3284 1706 2716 4194 72 66
66 72 4194 2716 1706 3284 4946 3294 2020 3294 4946 3284 1706 2716 4194 72 66
3393 1842 3180 3420 5088 5788 5040 4898 5520 4898 5040 5788 5088 3420 3180 1842 3393
45 372 730 374 138 886 710 280 468 800 468 280 710 886 138 374 730 372
348 58 378 360 216 286 340 284 272 284 340 286 216 360 378 58 348
348 58 378 360 216 286 340 284 272 284 340 286 216 360 378 58 348
372 730 374 138 886 710 280 468 800 468 280 710 886 138 374 730 372
46 8 24 58 16 52 72 28 40 72 40 28 72 52 16 58 24 8
0 0 20 0 24 30 0 0 32 0 0 30 24 0 20 0 0
0 0 20 0 24 30 0 0 32 0 0 30 24 0 20 0 0
8 24 58 16 52 72 28 40 72 40 28 72 52 16 58 24 8
Total 11292530 8934225 7182885 5446352 4077054 3178035 2631962 2329941 2231542 2329941 2631962 3178035 4077054 5446352 7182885 8934225 11292530
9312254 4805149 3244483 2565153 1984278 1512290 1216139 1067897 1023644 1067897 1216139 1512290 1984278 2565153 3244483 4805149 9312254
9312254 4805149 3244483 2565153 1984278 1512290 1216139 1067897 1023644 1067897 1216139 1512290 1984278 2565153 3244483 4805149 9312254
11292530 8934225 7182885 5446352 4077054 3178035 2631962 2329941 2231542 2329941 2631962 3178035 4077054 5446352 7182885 8934225 11292530
Grand total = 2*1023644 + 4*1067897 + 4*1216139 + 4*1512290 + 4*1984278 + 2*2231542 + 4*2329941 + 4*2565153 + 4*2631962 + 4*3178035 + 4*3244483 + 4*4077054 + 4*4805149 + 4*5446352 + 4*7182885 + 4*8934225 + 4*9312254 + 4*11292530
= 289632880
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
L
3 2 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 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 2
4 4 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 0 0 0 0 0 0 0 0
4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
5 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10
6 20 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
20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 20
7 33 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 33
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
33 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 33
8 56 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 56
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
56 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 56
9 99 6 9 10 10 10 10 10 10 10 10 10 10 10 9 6 99
5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5
5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5
99 6 9 10 10 10 10 10 10 10 10 10 10 10 9 6 99
10 173 6 9 13 14 14 14 14 14 14 14 14 14 13 9 6 173
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
173 6 9 13 14 14 14 14 14 14 14 14 14 13 9 6 173
11 331 24 42 47 53 54 54 54 54 54 54 54 53 47 42 24 331
15 4 8 8 8 8 8 8 8 8 8 8 8 8 8 4 15
15 4 8 8 8 8 8 8 8 8 8 8 8 8 8 4 15
331 24 42 47 53 54 54 54 54 54 54 54 53 47 42 24 331
12 606 24 40 54 61 69 70 70 70 70 70 69 61 54 40 24 606
1 0 4 4 4 4 4 4 4 4 4 4 4 4 4 0 1
1 0 4 4 4 4 4 4 4 4 4 4 4 4 4 0 1
606 24 40 54 61 69 70 70 70 70 70 69 61 54 40 24 606
13 1155 66 114 152 173 187 197 198 198 198 197 187 173 152 114 66 1155
29 10 24 36 36 36 36 36 36 36 36 36 36 36 24 10 29
29 10 24 36 36 36 36 36 36 36 36 36 36 36 24 10 29
1155 66 114 152 173 187 197 198 198 198 197 187 173 152 114 66 1155
14 2100 71 125 168 193 223 247 259 260 259 247 223 193 168 125 71 2100
1 0 24 38 40 40 40 40 40 40 40 40 40 38 24 0 1
1 0 24 38 40 40 40 40 40 40 40 40 40 38 24 0 1
2100 71 125 168 193 223 247 259 260 259 247 223 193 168 125 71 2100
15 3861 183 301 387 486 541 592 629 642 629 592 541 486 387 301 183 3861
47 16 60 102 130 132 132 132 132 132 132 132 130 102 60 16 47
47 16 60 102 130 132 132 132 132 132 132 132 130 102 60 16 47
3861 183 301 387 486 541 592 629 642 629 592 541 486 387 301 183 3861
16 6960 267 412 533 622 716 817 903 940 903 817 716 622 533 412 267 6960
3 0 66 136 174 190 192 192 192 192 192 190 174 136 66 0 3
3 0 66 136 174 190 192 192 192 192 192 190 174 136 66 0 3
6960 267 412 533 622 716 817 903 940 903 817 716 622 533 412 267 6960
17 12647 567 876 1074 1279 1497 1672 1837 1908 1837 1672 1497 1279 1074 876 567 12647
71 22 128 264 350 418 438 440 440 440 438 418 350 264 128 22 71
71 22 128 264 350 418 438 440 440 440 438 418 350 264 128 22 71
12647 567 876 1074 1279 1497 1672 1837 1908 1837 1672 1497 1279 1074 876 567 12647
18 22897 933 1408 1702 1923 2175 2458 2685 2782 2685 2458 2175 1923 1702 1408 933 22897
7 0 166 350 506 600 670 694 696 694 670 600 506 350 166 0 7
7 0 166 350 506 600 670 694 696 694 670 600 506 350 166 0 7
22897 933 1408 1702 1923 2175 2458 2685 2782 2685 2458 2175 1923 1702 1408 933 22897
19 41723 1786 2753 3262 3698 4129 4520 4764 4802 4764 4520 4129 3698 3262 2753 1786 41723
115 32 324 646 902 1120 1286 1386 1412 1386 1286 1120 902 646 324 32 115
115 32 324 646 902 1120 1286 1386 1412 1386 1286 1120 902 646 324 32 115
41723 1786 2753 3262 3698 4129 4520 4764 4802 4764 4520 4129 3698 3262 2753 1786 41723
20 75862 3035 4658 5513 6003 6391 6615 6538 6568 6538 6615 6391 6003 5513 4658 3035 75862
13 0 498 970 1346 1662 1968 2196 2300 2196 1968 1662 1346 970 498 0 13
13 0 498 970 1346 1662 1968 2196 2300 2196 1968 1662 1346 970 498 0 13
75862 3035 4658 5513 6003 6391 6615 6538 6568 6538 6615 6391 6003 5513 4658 3035 75862
21 137730 5663 8756 10333 11163 11431 11085 10698 10362 10698 11085 11431 11163 10333 8756 5663 137730
203 56 1000 1878 2464 3038 3580 4084 4272 4084 3580 3038 2464 1878 1000 56 203
203 56 1000 1878 2464 3038 3580 4084 4272 4084 3580 3038 2464 1878 1000 56 203
137730 5663 8756 10333 11163 11431 11085 10698 10362 10698 11085 11431 11163 10333 8756 5663 137730
22 246053 9916 15197 17789 18295 17266 15571 13851 13274 13851 15571 17266 18295 17789 15197 9916 246053
21 0 1660 3118 4008 4734 5510 6198 6508 6198 5510 4734 4008 3118 1660 0 21
21 0 1660 3118 4008 4734 5510 6198 6508 6198 5510 4734 4008 3118 1660 0 21
246053 9916 15197 17789 18295 17266 15571 13851 13274 13851 15571 17266 18295 17789 15197 9916 246053
23 425299 18400 28010 31983 31656 28553 24432 21343 20086 21343 24432 28553 31656 31983 28010 18400 425299
367 106 3178 6010 7548 8702 9754 10444 10712 10444 9754 8702 7548 6010 3178 106 367
367 106 3178 6010 7548 8702 9754 10444 10712 10444 9754 8702 7548 6010 3178 106 367
425299 18400 28010 31983 31656 28553 24432 21343 20086 21343 24432 28553 31656 31983 28010 18400 425299
24 694236 32669 48436 52897 49205 41115 32621 26258 23994 26258 32621 41115 49205 52897 48436 32669 694236
33 0 5450 10382 12918 14172 14728 14684 14372 14684 14728 14172 12918 10382 5450 0 33
33 0 5450 10382 12918 14172 14728 14684 14372 14684 14728 14172 12918 10382 5450 0 33
694236 32669 48436 52897 49205 41115 32621 26258 23994 26258 32621 41115 49205 52897 48436 32669 694236
25 1056830 58648 84144 87740 78041 62675 48168 38418 35188 38418 48168 62675 78041 87740 84144 58648 1056830
649 194 10104 19270 23712 24920 23976 22038 21392 22038 23976 24920 23712 19270 10104 194 649
649 194 10104 19270 23712 24920 23976 22038 21392 22038 23976 24920 23712 19270 10104 194 649
1056830 58648 84144 87740 78041 62675 48168 38418 35188 38418 48168 62675 78041 87740 84144 58648 1056830
26 1473248 98725 136081 134518 112245 84829 60715 45591 40490 45591 60715 84829 112245 134518 136081 98725 1473248
55 0 17698 33498 39924 38822 33564 28658 26296 28658 33564 38822 39924 33498 17698 0 55
55 0 17698 33498 39924 38822 33564 28658 26296 28658 33564 38822 39924 33498 17698 0 55
1473248 98725 136081 134518 112245 84829 60715 45591 40490 45591 60715 84829 112245 134518 136081 98725 1473248
27 1867650 159864 213124 201484 162603 119170 85375 64740 57732 64740 85375 119170 162603 201484 213124 159864 1867650
1117 336 32026 59102 66954 60906 49610 39678 36240 39678 49610 60906 66954 59102 32026 336 1117
1117 336 32026 59102 66954 60906 49610 39678 36240 39678 49610 60906 66954 59102 32026 336 1117
1867650 159864 213124 201484 162603 119170 85375 64740 57732 64740 85375 119170 162603 201484 213124 159864 1867650
28 2207908 237486 306454 280000 214555 151266 103318 75229 66154 75229 103318 151266 214555 280000 306454 237486 2207908
97 0 54540 96570 102302 86414 64366 48472 42648 48472 64366 86414 102302 96570 54540 0 97
97 0 54540 96570 102302 86414 64366 48472 42648 48472 64366 86414 102302 96570 54540 0 97
2207908 237486 306454 280000 214555 151266 103318 75229 66154 75229 103318 151266 214555 280000 306454 237486 2207908
29 2447013 327572 419195 374255 284210 199159 139251 104147 92984 104147 139251 199159 284210 374255 419195 327572 2447013
1903 566 88876 150820 151440 120762 87072 63968 56492 63968 87072 120762 151440 150820 88876 566 1903
1903 566 88876 150820 151440 120762 87072 63968 56492 63968 87072 120762 151440 150820 88876 566 1903
2447013 327572 419195 374255 284210 199159 139251 104147 92984 104147 139251 199159 284210 374255 419195 327572 2447013
30 2451431 413427 520931 460772 341560 234793 161244 120095 106748 120095 161244 234793 341560 460772 520931 413427 2451431
173 0 129434 214276 203078 152822 105668 75438 65168 75438 105668 152822 203078 214276 129434 0 173
173 0 129434 214276 203078 152822 105668 75438 65168 75438 105668 152822 203078 214276 129434 0 173
2451431 413427 520931 460772 341560 234793 161244 120095 106748 120095 161244 234793 341560 460772 520931 413427 2451431
31 2323188 485632 611923 539753 405616 287306 206836 162287 147632 162287 206836 287306 405616 539753 611923 485632 2323188
3259 958 175238 281218 257434 191380 132192 97124 85528 97124 132192 191380 257434 281218 175238 958 3259
3259 958 175238 281218 257434 191380 132192 97124 85528 97124 132192 191380 257434 281218 175238 958 3259
2323188 485632 611923 539753 405616 287306 206836 162287 147632 162287 206836 287306 405616 539753 611923 485632 2323188
32 2132488 519695 651824 572638 428485 306793 225759 181236 167340 181236 225759 306793 428485 572638 651824 519695 2132488
303 0 210962 329792 296146 213492 148932 111032 98532 111032 148932 213492 296146 329792 210962 0 303
303 0 210962 329792 296146 213492 148932 111032 98532 111032 148932 213492 296146 329792 210962 0 303
2132488 519695 651824 572638 428485 306793 225759 181236 167340 181236 225759 306793 428485 572638 651824 519695 2132488
33 1763500 536434 652751 584783 454632 342063 270521 232899 220870 232899 270521 342063 454632 584783 652751 536434 1763500
5631 1650 227650 367946 321458 236166 172082 137886 127628 137886 172082 236166 321458 367946 227650 1650 5631
5631 1650 227650 367946 321458 236166 172082 137886 127628 137886 172082 236166 321458 367946 227650 1650 5631
1763500 536434 652751 584783 454632 342063 270521 232899 220870 232899 270521 342063 454632 584783 652751 536434 1763500
34 1356803 490935 612686 530005 417562 326664 267369 239344 233154 239344 267369 326664 417562 530005 612686 490935 1356803
521 0 229630 360594 319938 230628 174506 148734 140748 148734 174506 230628 319938 360594 229630 0 521
521 0 229630 360594 319938 230628 174506 148734 140748 148734 174506 230628 319938 360594 229630 0 521
1356803 490935 612686 530005 417562 326664 267369 239344 233154 239344 267369 326664 417562 530005 612686 490935 1356803
35 1036256 433176 552417 499295 395724 335715 299266 282052 278140 282052 299266 335715 395724 499295 552417 433176 1036256
9769 2872 232220 343474 302864 232510 184964 170016 169672 170016 184964 232510 302864 343474 232220 2872 9769
9769 2872 232220 343474 302864 232510 184964 170016 169672 170016 184964 232510 302864 343474 232220 2872 9769
1036256 433176 552417 499295 395724 335715 299266 282052 278140 282052 299266 335715 395724 499295 552417 433176 1036256
36 724128 358845 428340 395200 324083 277262 260820 252915 249784 252915 260820 277262 324083 395200 428340 358845 724128
891 0 196314 309170 255558 196864 168416 163144 163512 163144 168416 196864 255558 309170 196314 0 891
891 0 196314 309170 255558 196864 168416 163144 163512 163144 168416 196864 255558 309170 196314 0 891
724128 358845 428340 395200 324083 277262 260820 252915 249784 252915 260820 277262 324083 395200 428340 358845 724128
37 489170 286370 363039 328772 291172 274620 271036 267746 266384 267746 271036 274620 291172 328772 363039 286370 489170
16925 4996 165610 259656 229386 178026 163450 166112 171780 166112 163450 178026 229386 259656 165610 4996 16925
16925 4996 165610 259656 229386 178026 163450 166112 171780 166112 163450 178026 229386 259656 165610 4996 16925
489170 286370 363039 328772 291172 274620 271036 267746 266384 267746 271036 274620 291172 328772 363039 286370 489170
38 312000 187875 236149 220643 191474 189297 203842 201433 188834 201433 203842 189297 191474 220643 236149 187875 312000
1530 0 126158 186556 164338 132046 127132 135476 136092 135476 127132 132046 164338 186556 126158 0 1530
1530 0 126158 186556 164338 132046 127132 135476 136092 135476 127132 132046 164338 186556 126158 0 1530
312000 187875 236149 220643 191474 189297 203842 201433 188834 201433 203842 189297 191474 220643 236149 187875 312000
39 208790 155870 196965 180031 169628 185773 193699 198096 203218 198096 193699 185773 169628 180031 196965 155870 208790
28672 8556 100072 149788 124850 109312 118066 125220 123492 125220 118066 109312 124850 149788 100072 8556 28672
28672 8556 100072 149788 124850 109312 118066 125220 123492 125220 118066 109312 124850 149788 100072 8556 28672
208790 155870 196965 180031 169628 185773 193699 198096 203218 198096 193699 185773 169628 180031 196965 155870 208790
40 113131 81568 98266 93290 87944 102337 115732 112809 112212 112809 115732 102337 87944 93290 98266 81568 113131
2464 0 62414 90720 73430 63496 70682 81540 89152 81540 70682 63496 73430 90720 62414 0 2464
2464 0 62414 90720 73430 63496 70682 81540 89152 81540 70682 63496 73430 90720 62414 0 2464
113131 81568 98266 93290 87944 102337 115732 112809 112212 112809 115732 102337 87944 93290 98266 81568 113131
41 83057 81844 94575 79603 82304 98723 105876 107094 105276 107094 105876 98723 82304 79603 94575 81844 83057
35954 11194 50214 67530 52942 51206 59718 65486 68112 65486 59718 51206 52942 67530 50214 11194 35954
35954 11194 50214 67530 52942 51206 59718 65486 68112 65486 59718 51206 52942 67530 50214 11194 35954
83057 81844 94575 79603 82304 98723 105876 107094 105276 107094 105876 98723 82304 79603 94575 81844 83057
42 28386 24281 24260 23555 31884 40684 40440 36814 34556 36814 40440 40684 31884 23555 24260 24281 28386
1956 0 25604 27414 20280 21992 27634 30594 29136 30594 27634 21992 20280 27414 25604 0 1956
1956 0 25604 27414 20280 21992 27634 30594 29136 30594 27634 21992 20280 27414 25604 0 1956
28386 24281 24260 23555 31884 40684 40440 36814 34556 36814 40440 40684 31884 23555 24260 24281 28386
43 17060 22343 22164 15426 21034 25504 26358 23134 21196 23134 26358 25504 21034 15426 22164 22343 17060
12966 3734 13098 13374 10754 12416 13888 13232 12532 13232 13888 12416 10754 13374 13098 3734 12966
12966 3734 13098 13374 10754 12416 13888 13232 12532 13232 13888 12416 10754 13374 13098 3734 12966
17060 22343 22164 15426 21034 25504 26358 23134 21196 23134 26358 25504 21034 15426 22164 22343 17060
44 2971 2042 3326 3296 5498 5802 4968 4948 5696 4948 4968 5802 5498 3296 3326 2042 2971
150 0 4278 2636 1588 3266 4860 3214 2012 3214 4860 3266 1588 2636 4278 0 150
150 0 4278 2636 1588 3266 4860 3214 2012 3214 4860 3266 1588 2636 4278 0 150
2971 2042 3326 3296 5498 5802 4968 4948 5696 4948 4968 5802 5498 3296 3326 2042 2971
45 356 694 396 154 868 672 284 472 760 472 284 672 868 154 396 694 356
342 58 398 360 240 314 340 284 304 284 340 314 240 360 398 58 342
342 58 398 360 240 314 340 284 304 284 340 314 240 360 398 58 342
356 694 396 154 868 672 284 472 760 472 284 672 868 154 396 694 356
46 8 24 58 16 52 72 28 40 72 40 28 72 52 16 58 24 8
0 0 20 0 24 30 0 0 32 0 0 30 24 0 20 0 0
0 0 20 0 24 30 0 0 32 0 0 30 24 0 20 0 0
8 24 58 16 52 72 28 40 72 40 28 72 52 16 58 24 8
Total 23767229 5036969 6340218 5731150 4626012 3765554 3191884 2841654 2720388 2841654 3191884 3765554 4626012 5731150 6340218 5036969 23767229
126262 35360 2165148 3387706 3049074 2392646 1969464 1767884 1707624 1767884 1969464 2392646 3049074 3387706 2165148 35360 126262
126262 35360 2165148 3387706 3049074 2392646 1969464 1767884 1707624 1767884 1969464 2392646 3049074 3387706 2165148 35360 126262
23767229 5036969 6340218 5731150 4626012 3765554 3191884 2841654 2720388 2841654 3191884 3765554 4626012 5731150 6340218 5036969 23767229
Grand total = 4*35360 + 4*126262 + 2*1707624 + 4*1767884 + 4*1969464 + 4*2165148 + 4*2392646 + 2*2720388 + 4*2841654 + 4*3049074 + 4*3191884 + 4*3387706 + 4*3765554 + 4*4626012 + 4*5036969 + 4*5731150 + 4*6340218 + 4*23767229
= 289632880
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
L
3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2
1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1
1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1
2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2
4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4
2 6 2 0 0 0 0 0 0 0 0 0 0 0 2 6 2
2 6 2 0 0 0 0 0 0 0 0 0 0 0 2 6 2
4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4
5 10 7 1 0 0 0 0 0 0 0 0 0 0 0 1 7 10
6 15 9 2 0 0 0 0 0 0 0 0 0 2 9 15 6
6 15 9 2 0 0 0 0 0 0 0 0 0 2 9 15 6
10 7 1 0 0 0 0 0 0 0 0 0 0 0 1 7 10
6 23 14 7 3 0 0 0 0 0 0 0 0 0 3 7 14 23
11 29 19 12 2 0 0 0 0 0 0 0 2 12 19 29 11
11 29 19 12 2 0 0 0 0 0 0 0 2 12 19 29 11
23 14 7 3 0 0 0 0 0 0 0 0 0 3 7 14 23
7 35 25 17 19 9 4 4 4 4 4 4 4 9 19 17 25 35
26 51 55 38 24 12 10 10 10 10 10 12 24 38 55 51 26
26 51 55 38 24 12 10 10 10 10 10 12 24 38 55 51 26
35 25 17 19 9 4 4 4 4 4 4 4 9 19 17 25 35
8 61 37 20 27 30 11 4 4 4 4 4 11 30 27 20 37 61
35 81 77 68 51 28 14 12 12 12 14 28 51 68 77 81 35
35 81 77 68 51 28 14 12 12 12 14 28 51 68 77 81 35
61 37 20 27 30 11 4 4 4 4 4 11 30 27 20 37 61
9 117 86 63 73 79 72 41 32 32 32 41 72 79 73 63 86 117
83 160 163 161 143 112 76 60 58 60 76 112 143 161 163 160 83
83 160 163 161 143 112 76 60 58 60 76 112 143 161 163 160 83
117 86 63 73 79 72 41 32 32 32 41 72 79 73 63 86 117
10 189 124 78 114 129 129 102 57 46 57 102 129 129 114 78 124 189
117 269 252 250 258 229 167 114 98 114 167 229 258 250 252 269 117
117 269 252 250 258 229 167 114 98 114 167 229 258 250 252 269 117
189 124 78 114 129 129 102 57 46 57 102 129 129 114 78 124 189
11 421 374 361 454 470 458 434 376 328 376 434 458 470 454 361 374 421
326 606 585 676 667 672 593 478 424 478 593 672 667 676 585 606 326
326 606 585 676 667 672 593 478 424 478 593 672 667 676 585 606 326
421 374 361 454 470 458 434 376 328 376 434 458 470 454 361 374 421
12 679 498 400 573 676 699 633 575 550 575 633 699 676 573 400 498 679
441 1005 931 911 1007 1070 1037 876 772 876 1037 1070 1007 911 931 1005 441
441 1005 931 911 1007 1070 1037 876 772 876 1037 1070 1007 911 931 1005 441
679 498 400 573 676 699 633 575 550 575 633 699 676 573 400 498 679
13 1438 1263 1267 1716 2033 2058 2056 1989 1990 1989 2056 2058 2033 1716 1267 1263 1438
1106 2147 2067 2098 2434 2574 2663 2631 2582 2631 2663 2574 2434 2098 2067 2147 1106
1106 2147 2067 2098 2434 2574 2663 2631 2582 2631 2663 2574 2434 2098 2067 2147 1106
1438 1263 1267 1716 2033 2058 2056 1989 1990 1989 2056 2058 2033 1716 1267 1263 1438
14 2395 1793 1524 2201 2670 2962 3111 3288 3274 3288 3111 2962 2670 2201 1524 1793 2395
1622 3546 3370 3303 3447 3902 4395 4885 5150 4885 4395 3902 3447 3303 3370 3546 1622
1622 3546 3370 3303 3447 3902 4395 4885 5150 4885 4395 3902 3447 3303 3370 3546 1622
2395 1793 1524 2201 2670 2962 3111 3288 3274 3288 3111 2962 2670 2201 1524 1793 2395
15 4699 3961 3792 5283 6530 7469 8030 8626 9104 8626 8030 7469 6530 5283 3792 3961 4699
3536 7141 6923 7007 7435 8746 10093 11728 12438 11728 10093 8746 7435 7007 6923 7141 3536
3536 7141 6923 7007 7435 8746 10093 11728 12438 11728 10093 8746 7435 7007 6923 7141 3536
4699 3961 3792 5283 6530 7469 8030 8626 9104 8626 8030 7469 6530 5283 3792 3961 4699
16 8116 6299 5430 7720 9681 11540 13416 14999 15454 14999 13416 11540 9681 7720 5430 6299 8116
5670 12178 11758 11796 12564 14634 18037 21171 22496 21171 18037 14634 12564 11796 11758 12178 5670
5670 12178 11758 11796 12564 14634 18037 21171 22496 21171 18037 14634 12564 11796 11758 12178 5670
8116 6299 5430 7720 9681 11540 13416 14999 15454 14999 13416 11540 9681 7720 5430 6299 8116
17 15243 12591 11574 16255 20659 25214 29930 32297 32822 32297 29930 25214 20659 16255 11574 12591 15243
11241 23307 22707 23445 26006 31162 37991 42632 44306 42632 37991 31162 26006 23445 22707 23307 11241
11241 23307 22707 23445 26006 31162 37991 42632 44306 42632 37991 31162 26006 23445 22707 23307 11241
15243 12591 11574 16255 20659 25214 29930 32297 32822 32297 29930 25214 20659 16255 11574 12591 15243
18 27010 21465 18927 27070 35241 43788 50521 54800 56614 54800 50521 43788 35241 27070 18927 21465 27010
19121 40930 39961 42151 48918 58699 67842 73838 75690 73838 67842 58699 48918 42151 39961 40930 19121
19121 40930 39961 42151 48918 58699 67842 73838 75690 73838 67842 58699 48918 42151 39961 40930 19121
27010 21465 18927 27070 35241 43788 50521 54800 56614 54800 50521 43788 35241 27070 18927 21465 27010
19 50111 41384 38586 55990 73622 87711 98248 106759 109568 106759 98248 87711 73622 55990 38586 41384 50111
36472 76869 76928 84871 100097 117622 129914 136446 138186 136446 129914 117622 100097 84871 76928 76869 36472
36472 76869 76928 84871 100097 117622 129914 136446 138186 136446 129914 117622 100097 84871 76928 76869 36472
50111 41384 38586 55990 73622 87711 98248 106759 109568 106759 98248 87711 73622 55990 38586 41384 50111
20 90116 73735 70294 104551 132717 152333 168032 178302 182448 178302 168032 152333 132717 104551 70294 73735 90116
64296 139464 143951 162763 190767 215704 228357 231788 231292 231788 228357 215704 190767 162763 143951 139464 64296
64296 139464 143951 162763 190767 215704 228357 231788 231292 231788 228357 215704 190767 162763 143951 139464 64296
90116 73735 70294 104551 132717 152333 168032 178302 182448 178302 168032 152333 132717 104551 70294 73735 90116
21 166937 144470 148014 211955 260067 293685 313981 326696 330798 326696 313981 293685 260067 211955 148014 144470 166937
122867 267364 286202 326260 370231 401281 413532 414224 413788 414224 413532 401281 370231 326260 286202 267364 122867
122867 267364 286202 326260 370231 401281 413532 414224 413788 414224 413532 401281 370231 326260 286202 267364 122867
166937 144470 148014 211955 260067 293685 313981 326696 330798 326696 313981 293685 260067 211955 148014 144470 166937
22 303010 272577 281651 390995 469205 509571 527432 532951 534506 532951 527432 509571 469205 390995 281651 272577 303010
226518 503102 549454 613480 666059 697060 702708 698290 696800 698290 702708 697060 666059 613480 549454 503102 226518
226518 503102 549454 613480 666059 697060 702708 698290 696800 698290 702708 697060 666059 613480 549454 503102 226518
303010 272577 281651 390995 469205 509571 527432 532951 534506 532951 527432 509571 469205 390995 281651 272577 303010
23 552636 526714 557694 750899 868103 919089 930648 926032 922336 926032 930648 919089 868103 750899 557694 526714 552636
435704 954476 1041794 1123621 1175913 1200687 1204345 1204529 1206360 1204529 1204345 1200687 1175913 1123621 1041794 954476 435704
435704 954476 1041794 1123621 1175913 1200687 1204345 1204529 1206360 1204529 1204345 1200687 1175913 1123621 1041794 954476 435704
552636 526714 557694 750899 868103 919089 930648 926032 922336 926032 930648 919089 868103 750899 557694 526714 552636
24 950113 946318 1016900 1306328 1462392 1504455 1478396 1438016 1420196 1438016 1478396 1504455 1462392 1306328 1016900 946318 950113
797215 1700914 1812176 1880275 1906798 1919850 1926597 1932349 1932996 1932349 1926597 1919850 1906798 1880275 1812176 1700914 797215
797215 1700914 1812176 1880275 1906798 1919850 1926597 1932349 1932996 1932349 1926597 1919850 1906798 1880275 1812176 1700914 797215
950113 946318 1016900 1306328 1462392 1504455 1478396 1438016 1420196 1438016 1478396 1504455 1462392 1306328 1016900 946318 950113
25 1572705 1672616 1804575 2231989 2439633 2448468 2370166 2295182 2264122 2295182 2370166 2448468 2439633 2231989 1804575 1672616 1572705
1426991 2864849 2961730 2976512 2968997 2985973 3007003 3024066 3023818 3024066 3007003 2985973 2968997 2976512 2961730 2864849 1426991
1426991 2864849 2961730 2976512 2968997 2985973 3007003 3024066 3023818 3024066 3007003 2985973 2968997 2976512 2961730 2864849 1426991
1572705 1672616 1804575 2231989 2439633 2448468 2370166 2295182 2264122 2295182 2370166 2448468 2439633 2231989 1804575 1672616 1572705
26 2432819 2682409 2899427 3469980 3653939 3561629 3388011 3256508 3209282 3256508 3388011 3561629 3653939 3469980 2899427 2682409 2432819
2326152 4379056 4381081 4293798 4257334 4278685 4308215 4324218 4325524 4324218 4308215 4278685 4257334 4293798 4381081 4379056 2326152
2326152 4379056 4381081 4293798 4257334 4278685 4308215 4324218 4325524 4324218 4308215 4278685 4257334 4293798 4381081 4379056 2326152
2432819 2682409 2899427 3469980 3653939 3561629 3388011 3256508 3209282 3256508 3388011 3561629 3653939 3469980 2899427 2682409 2432819
27 3477847 4064305 4509724 5175373 5267208 5028098 4762657 4587534 4533018 4587534 4762657 5028098 5267208 5175373 4509724 4064305 3477847
3589749 6201315 6019548 5830182 5800841 5876991 5921244 5901592 5897716 5901592 5921244 5876991 5800841 5830182 6019548 6201315 3589749
3589749 6201315 6019548 5830182 5800841 5876991 5921244 5901592 5897716 5901592 5921244 5876991 5800841 5830182 6019548 6201315 3589749
3477847 4064305 4509724 5175373 5267208 5028098 4762657 4587534 4533018 4587534 4762657 5028098 5267208 5175373 4509724 4064305 3477847
28 4669124 5818290 6468230 7112511 6981217 6511927 6093074 5862910 5795180 5862910 6093074 6511927 6981217 7112511 6468230 5818290 4669124
5190959 8162082 7676545 7330206 7343898 7469959 7505049 7497355 7487316 7497355 7505049 7469959 7343898 7330206 7676545 8162082 5190959
5190959 8162082 7676545 7330206 7343898 7469959 7505049 7497355 7487316 7497355 7505049 7469959 7343898 7330206 7676545 8162082 5190959
4669124 5818290 6468230 7112511 6981217 6511927 6093074 5862910 5795180 5862910 6093074 6511927 6981217 7112511 6468230 5818290 4669124
29 6168709 7987861 8892233 9443051 9053283 8346392 7797032 7510649 7427192 7510649 7797032 8346392 9053283 9443051 8892233 7987861 6168709
7167984 10238732 9349108 8944042 9063399 9224120 9249106 9245363 9237606 9245363 9249106 9224120 9063399 8944042 9349108 10238732 7167984
7167984 10238732 9349108 8944042 9063399 9224120 9249106 9245363 9237606 9245363 9249106 9224120 9063399 8944042 9349108 10238732 7167984
6168709 7987861 8892233 9443051 9053283 8346392 7797032 7510649 7427192 7510649 7797032 8346392 9053283 9443051 8892233 7987861 6168709
30 7463306 9999022 11114401 11397400 10583011 9572412 8886726 8553846 8463210 8553846 8886726 9572412 10583011 11397400 11114401 9999022 7463306
9142167 11704443 10421471 10066819 10265111 10452783 10516434 10511024 10502038 10511024 10516434 10452783 10265111 10066819 10421471 11704443 9142167
9142167 11704443 10421471 10066819 10265111 10452783 10516434 10511024 10502038 10511024 10516434 10452783 10265111 10066819 10421471 11704443 9142167
7463306 9999022 11114401 11397400 10583011 9572412 8886726 8553846 8463210 8553846 8886726 9572412 10583011 11397400 11114401 9999022 7463306
31 8619670 12048889 13475966 13498953 12358002 11108737 10320619 9960410 9857870 9960410 10320619 11108737 12358002 13498953 13475966 12048889 8619670
11208510 12892868 11258549 10966830 11331935 11579649 11639406 11618150 11599132 11618150 11639406 11579649 11331935 10966830 11258549 12892868 11208510
11208510 12892868 11258549 10966830 11331935 11579649 11639406 11618150 11599132 11618150 11639406 11579649 11331935 10966830 11258549 12892868 11208510
8619670 12048889 13475966 13498953 12358002 11108737 10320619 9960410 9857870 9960410 10320619 11108737 12358002 13498953 13475966 12048889 8619670
32 9607676 13501357 15056471 14712989 13173891 11734325 10904716 10554465 10472802 10554465 10904716 11734325 13173891 14712989 15056471 13501357 9607676
12776809 13423882 11371984 11112216 11626095 11975434 12057302 11996034 11956738 11996034 12057302 11975434 11626095 11112216 11371984 13423882 12776809
12776809 13423882 11371984 11112216 11626095 11975434 12057302 11996034 11956738 11996034 12057302 11975434 11626095 11112216 11371984 13423882 12776809
9607676 13501357 15056471 14712989 13173891 11734325 10904716 10554465 10472802 10554465 10904716 11734325 13173891 14712989 15056471 13501357 9607676
33 10063859 14426287 16127201 15639784 13916671 12429538 11612822 11279170 11191528 11279170 11612822 12429538 13916671 15639784 16127201 14426287 10063859
13830477 13239052 11098878 11061719 11575018 11980346 12056853 11999491 11966006 11999491 12056853 11980346 11575018 11061719 11098878 13239052 13830477
13830477 13239052 11098878 11061719 11575018 11980346 12056853 11999491 11966006 11999491 12056853 11980346 11575018 11061719 11098878 13239052 13830477
10063859 14426287 16127201 15639784 13916671 12429538 11612822 11279170 11191528 11279170 11612822 12429538 13916671 15639784 16127201 14426287 10063859
34 9744225 14166846 15761866 14832599 13034785 11627881 10895959 10608135 10545506 10608135 10895959 11627881 13034785 14832599 15761866 14166846 9744225
13794204 12037476 9826531 9864009 10555950 10915737 10989236 10959879 10939018 10959879 10989236 10915737 10555950 9864009 9826531 12037476 13794204
13794204 12037476 9826531 9864009 10555950 10915737 10989236 10959879 10939018 10959879 10989236 10915737 10555950 9864009 9826531 12037476 13794204
9744225 14166846 15761866 14832599 13034785 11627881 10895959 10608135 10545506 10608135 10895959 11627881 13034785 14832599 15761866 14166846 9744225
35 9447086 13903045 15643752 14666408 12914531 11684296 11086780 10848139 10779688 10848139 11086780 11684296 12914531 14666408 15643752 13903045 9447086
13607576 11102784 9019101 9117590 9818267 10125528 10150187 10163119 10178654 10163119 10150187 10125528 9818267 9117590 9019101 11102784 13607576
13607576 11102784 9019101 9117590 9818267 10125528 10150187 10163119 10178654 10163119 10150187 10125528 9818267 9117590 9019101 11102784 13607576
9447086 13903045 15643752 14666408 12914531 11684296 11086780 10848139 10779688 10848139 11086780 11684296 12914531 14666408 15643752 13903045 9447086
36 8354922 12164221 13431100 12372208 10771060 9764838 9332038 9192439 9157976 9192439 9332038 9764838 10771060 12372208 13431100 12164221 8354922
12179133 8984845 7047621 7337781 8013060 8357581 8334490 8301682 8303042 8301682 8334490 8357581 8013060 7337781 7047621 8984845 12179133
12179133 8984845 7047621 7337781 8013060 8357581 8334490 8301682 8303042 8301682 8334490 8357581 8013060 7337781 7047621 8984845 12179133
8354922 12164221 13431100 12372208 10771060 9764838 9332038 9192439 9157976 9192439 9332038 9764838 10771060 12372208 13431100 12164221 8354922
37 7376123 10964691 12341710 11407273 10126771 9319712 9010898 8938254 8945690 8938254 9010898 9319712 10126771 11407273 12341710 10964691 7376123
10985159 7814133 6133841 6260187 6895384 7154148 7196069 7131000 7106036 7131000 7196069 7154148 6895384 6260187 6133841 7814133 10985159
10985159 7814133 6133841 6260187 6895384 7154148 7196069 7131000 7106036 7131000 7196069 7154148 6895384 6260187 6133841 7814133 10985159
7376123 10964691 12341710 11407273 10126771 9319712 9010898 8938254 8945690 8938254 9010898 9319712 10126771 11407273 12341710 10964691 7376123
38 5635488 8111823 8939441 8102088 7159136 6695927 6569440 6496207 6442122 6496207 6569440 6695927 7159136 8102088 8939441 8111823 5635488
8409588 5316493 4058222 4372232 4924898 5036297 4997208 5016630 5034954 5016630 4997208 5036297 4924898 4372232 4058222 5316493 8409588
8409588 5316493 4058222 4372232 4924898 5036297 4997208 5016630 5034954 5016630 4997208 5036297 4924898 4372232 4058222 5316493 8409588
5635488 8111823 8939441 8102088 7159136 6695927 6569440 6496207 6442122 6496207 6569440 6695927 7159136 8102088 8939441 8111823 5635488
39 4857693 7242725 8041386 7367054 6619317 6338126 6309872 6323793 6319946 6323793 6309872 6338126 6619317 7367054 8041386 7242725 4857693
7383270 4755901 3365696 3684223 4130656 4231934 4187193 4174141 4160048 4174141 4187193 4231934 4130656 3684223 3365696 4755901 7383270
7383270 4755901 3365696 3684223 4130656 4231934 4187193 4174141 4160048 4174141 4187193 4231934 4130656 3684223 3365696 4755901 7383270
4857693 7242725 8041386 7367054 6619317 6338126 6309872 6323793 6319946 6323793 6309872 6338126 6619317 7367054 8041386 7242725 4857693
40 3043325 4233924 4612133 4109933 3687878 3596171 3631877 3635606 3637764 3635606 3631877 3596171 3687878 4109933 4612133 4233924 3043325
4562004 2388698 1859167 2135583 2391134 2409969 2365492 2352240 2372368 2352240 2365492 2409969 2391134 2135583 1859167 2388698 4562004
4562004 2388698 1859167 2135583 2391134 2409969 2365492 2352240 2372368 2352240 2365492 2409969 2391134 2135583 1859167 2388698 4562004
3043325 4233924 4612133 4109933 3687878 3596171 3631877 3635606 3637764 3635606 3631877 3596171 3687878 4109933 4612133 4233924 3043325
41 2881072 3918693 4315088 3822298 3454734 3449124 3548350 3590168 3592212 3590168 3548350 3449124 3454734 3822298 4315088 3918693 2881072
4417385 1976013 1561718 1838599 2099299 2103519 2022892 1985456 1988120 1985456 2022892 2103519 2099299 1838599 1561718 1976013 4417385
4417385 1976013 1561718 1838599 2099299 2103519 2022892 1985456 1988120 1985456 2022892 2103519 2099299 1838599 1561718 1976013 4417385
2881072 3918693 4315088 3822298 3454734 3449124 3548350 3590168 3592212 3590168 3548350 3449124 3454734 3822298 4315088 3918693 2881072
42 1119327 1463755 1581078 1351802 1246038 1280328 1317444 1319070 1308768 1319070 1317444 1280328 1246038 1351802 1581078 1463755 1119327
1664507 645329 588872 705028 799232 781156 745142 745634 744164 745634 745142 781156 799232 705028 588872 645329 1664507
1664507 645329 588872 705028 799232 781156 745142 745634 744164 745634 745142 781156 799232 705028 588872 645329 1664507
1119327 1463755 1581078 1351802 1246038 1280328 1317444 1319070 1308768 1319070 1317444 1280328 1246038 1351802 1581078 1463755 1119327
43 761465 1006761 1063626 824700 811238 914812 945996 881874 838100 881874 945996 914812 811238 824700 1063626 1006761 761465
1107168 369034 387113 493940 541028 469876 445434 484854 512076 484854 445434 469876 541028 493940 387113 369034 1107168
1107168 369034 387113 493940 541028 469876 445434 484854 512076 484854 445434 469876 541028 493940 387113 369034 1107168
761465 1006761 1063626 824700 811238 914812 945996 881874 838100 881874 945996 914812 811238 824700 1063626 1006761 761465
44 158878 206618 218934 157930 159624 185892 191872 175254 166092 175254 191872 185892 159624 157930 218934 206618 158878
224882 69346 83906 106296 119270 98686 94720 103892 111244 103892 94720 98686 119270 106296 83906 69346 224882
224882 69346 83906 106296 119270 98686 94720 103892 111244 103892 94720 98686 119270 106296 83906 69346 224882
158878 206618 218934 157930 159624 185892 191872 175254 166092 175254 191872 185892 159624 157930 218934 206618 158878
45 19776 26006 25434 16452 23152 24864 19480 21152 24728 21152 19480 24864 23152 16452 25434 26006 19776
26520 7424 11814 13548 13048 11270 13300 13032 11488 13032 13300 11270 13048 13548 11814 7424 26520
26520 7424 11814 13548 13048 11270 13300 13032 11488 13032 13300 11270 13048 13548 11814 7424 26520
19776 26006 25434 16452 23152 24864 19480 21152 24728 21152 19480 24864 23152 16452 25434 26006 19776
46 1278 1666 1648 828 1472 1696 1040 1256 1696 1256 1040 1696 1472 828 1648 1666 1278
1692 422 830 964 896 736 944 920 736 920 944 736 896 964 830 422 1692
1692 422 830 964 896 736 944 920 736 920 944 736 896 964 830 422 1692
1278 1666 1648 828 1472 1696 1040 1256 1696 1256 1040 1696 1472 828 1648 1666 1278
Total 109649738 151665548 168482024 164595829 150780904 139186441 132621888 129517824 128594566 129517824 132621888 139186441 150780904 164595829 168482024 151665548 109649738
146749302 142307839 122482710 122795492 129047571 132194421 132551290 132325833 132241300 132325833 132551290 132194421 129047571 122795492 122482710 142307839 146749302
146749302 142307839 122482710 122795492 129047571 132194421 132551290 132325833 132241300 132325833 132551290 132194421 129047571 122795492 122482710 142307839 146749302
109649738 151665548 168482024 164595829 150780904 139186441 132621888 129517824 128594566 129517824 132621888 139186441 150780904 164595829 168482024 151665548 109649738
Grand total = 4*109649738 + 4*122482710 + 4*122795492 + 2*128594566 + 4*129047571 + 4*129517824 + 4*132194421 + 2*132241300 + 4*132325833 + 4*132551290 + 4*132621888 + 4*139186441 + 4*142307839 + 4*146749302 + 4*150780904 +
4*151665548 + 4*164595829 + 4*168482024
= 9349490348
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
EN
0 0 0 73171 77141 82043 77409 94622 131002 187862 262155 352406 464588 619531 844778 1131431 1415743 1790781 0 2 14754 32882 43321 41114 43409 57937 85165 121681
166404 224611 303461 398883 513841 762161 1473928 56136 2 4 8227 21669 34264 54219 75031 94489 118270 155535 215537 302097 403609 518314 764235 1475742 39418 23820 23822
28919 45763 75948 115868 156102 198213 253752 335198 452606 619757 853866 1140973 1421424 1796183
1 0 0 0 53242 10 7400 11294 35800 52362 61976 70812 89036 123414 176356 240526 300192 378256 47914 0 16442 15554 2 10 4832 16522 26072 30920
33958 41882 58834 82494 109040 160992 310150 0 0 0 0 8662 22822 14458 8942 10804 19808 33864 50452 68064 85738 107378 159058 308326 0 0 0
8219 24490 30136 23798 21874 29102 47388 73590 103100 136286 179800 235968 294704 373844
2 58416 0 0 0 64798 30 15606 23822 59840 85400 101404 117978 151968 213360 294862 372560 470274 25256 39248 0 25994 16392 8 30 10204 28094 42430
50458 57654 73052 99198 133494 200326 387178 0 0 0 0 0 18256 36098 24160 15522 19254 34498 58328 85954 111318 137338 200234 386884 0 0 0
0 17320 45944 49350 39368 37136 50400 80698 123136 173024 232184 301438 372000 471042
3 44102 68472 0 0 0 66742 66 20606 31426 71304 100164 119374 142232 187300 255788 326836 414778 13312 13312 28064 0 27404 15112 20 66 13452 33686
50064 60546 70644 87692 115952 176778 343788 13312 0 0 0 0 0 24060 41864 28790 18900 23970 42986 71710 100420 125826 180826 347270 13312 8219 0
0 0 25091 58268 58304 46840 44786 61164 97198 148608 210478 276412 337842 425612
4 30256 23242 75272 0 0 0 70806 130 21770 33090 73740 103360 125020 152410 197120 250260 319810 23242 7014 17666 26454 0 26506 15944 40 130 14180
35130 52830 64310 73170 89860 136190 266250 30256 14028 0 0 0 0 0 25360 43330 29880 20010 26050 46510 73600 98470 142210 271750 37270 34226 17320
0 0 0 28848 61442 60770 48980 46920 64160 102730 157940 217240 267100 334410
5 27020 23326 12244 77002 0 0 0 75306 252 21760 32932 74232 105492 130224 157384 192072 245436 31876 12244 3694 20542 28270 0 26704 17476 76 252
14336 36196 54528 63984 72180 104236 202796 44120 28182 18470 0 0 0 0 0 25308 43924 30428 21132 27960 47488 71040 107240 205824 60058 56364 53638
25091 0 0 0 29751 62044 61992 49972 48052 66476 106800 157900 200880 251348
6 45252 29800 23962 6448 77050 0 0 0 77454 488 21950 33192 75688 109072 133356 154654 194496 45862 20680 6448 1946 19682 28896 0 27452 18158 146
488 14992 37398 53460 60922 82324 156986 54866 31630 34186 23352 0 0 0 0 0 25404 44554 31554 22866 29882 48026 78608 153954 74210 61314 65816
62112 28848 0 0 0 29880 62642 62828 50774 49982 70108 107560 144728 183498
7 77934 61272 34176 24942 3396 77172 0 0 0 77754 938 22652 34214 77332 108378 126212 154652 66012 34032 17052 3396 1026 18098 28290 0 27774 17994
282 938 15976 36606 48984 65408 121718 66330 34350 29928 41778 25650 0 0 0 0 0 25662 45306 32658 24498 32572 56408 113656 83310 63252 58830
64596 62638 29751 0 0 0 29929 62730 62680 51706 53122 72746 101088 131870
8 116400 95616 74160 35268 23928 1788 77484 0 0 0 77484 1788 23928 35268 74160 95616 116400 91872 49428 33504 16536 1788 540 17676 27840 0 27840
17676 540 1788 16536 33504 49428 91872 84720 41736 26688 32052 45240 25920 0 0 0 0 0 25920 45240 32052 26688 41736 84720 99228 74160 57492
54252 62652 62346 29880 0 0 0 29880 62346 62652 54252 57492 74160 99228
9 154652 126212 108378 77332 34214 22652 938 77754 0 0 0 77172 3396 24942 34176 61272 77934 121718 65408 48984 36606 15976 938 282 17994 27774 0
28290 18098 1026 3396 17052 34032 66012 113656 56408 32572 24498 32658 45306 25662 0 0 0 0 0 25650 41778 29928 34350 66330 131870 101088 72746
53122 51706 62680 62730 29929 0 0 0 29751 62638 64596 58830 63252 83310
10 194496 154654 133356 109072 75688 33192 21950 488 77454 0 0 0 77050 6448 23962 29800 45252 156986 82324 60922 53460 37398 14992 488 146 18158 27452
0 28896 19682 1946 6448 20680 45862 153954 78608 48026 29882 22866 31554 44554 25404 0 0 0 0 0 23352 34186 31630 54866 183498 144728 107560
70108 49982 50774 62828 62642 29880 0 0 0 28848 62112 65816 61314 74210
11 245436 192072 157384 130224 105492 74232 32932 21760 252 75306 0 0 0 77002 12244 23326 27020 202796 104236 72180 63984 54528 36196 14336 252 76 17476
26704 0 28270 20542 3694 12244 31876 205824 107240 71040 47488 27960 21132 30428 43924 25308 0 0 0 0 0 18470 28182 44120 251348 200880 157900
106800 66476 48052 49972 61992 62044 29751 0 0 0 25091 53638 56364 60058
12 319810 250260 197120 152410 125020 103360 73740 33090 21770 130 70806 0 0 0 75272 23242 30256 266250 136190 89860 73170 64310 52830 35130 14180 130 40
15944 26506 0 26454 17666 7014 23242 271750 142210 98470 73600 46510 26050 20010 29880 43330 25360 0 0 0 0 0 14028 30256 334410 267100 217240
157940 102730 64160 46920 48980 60770 61442 28848 0 0 0 17320 34226 37270
13 414778 326836 255788 187300 142232 119374 100164 71304 31426 20606 66 66742 0 0 0 68472 44102 343788 176778 115952 87692 70644 60546 50064 33686 13452 66
20 15112 27404 0 28064 13312 13312 347270 180826 125826 100420 71710 42986 23970 18900 28790 41864 24060 0 0 0 0 0 13312 425612 337842 276412
210478 148608 97198 61164 44786 46840 58304 58268 25091 0 0 0 8219 13312
14 470274 372560 294862 213360 151968 117978 101404 85400 59840 23822 15606 30 64798 0 0 0 58416 387178 200326 133494 99198 73052 57654 50458 42430 28094 10204
30 8 16392 25994 0 39248 25256 386884 200234 137338 111318 85954 58328 34498 19254 15522 24160 36098 18256 0 0 0 0 0 471042 372000 301438
232184 173024 123136 80698 50400 37136 39368 49350 45944 17320 0 0 0 0
15 378256 300192 240526 176356 123414 89036 70812 61976 52362 35800 11294 7400 10 53242 0 0 0 310150 160992 109040 82494 58834 41882 33958 30920 26072 16522
4832 10 2 15554 16442 0 47914 308326 159058 107378 85738 68064 50452 33864 19808 10804 8942 14458 22822 8662 0 0 0 0 373844 294704 235968
179800 136286 103100 73590 47388 29102 21874 23798 30136 24490 8219 0 0 0
16 1790781 1415743 1131431 844778 619531 464588 352406 262155 187862 131002 94622 77409 82043 77141 73171 0 0 1473928 762161 513841 398883 303461 224611 166404 121681 85165 57937
43409 41114 43321 32882 14754 2 0 1475742 764235 518314 403609 302097 215537 155535 118270 94489 75031 54219 34264 21669 8227 4 2 56136 1796183 1421424 1140973
853866 619757 452606 335198 253752 198213 156102 115868 75948 45763 28919 23822 23820 39418
17 0 47914 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 29589 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 40538 8221 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0
18 0 0 13992 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 21368 0 0 0 0 0 0 0 0 0 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 22528 16440 0 14752 6976 4572 4578 8022 16842 26472 34598 42064 53198 72276 98490 124592 157684 22528 0 0 0 8664 6 2416 2558 7372 12640
17052 20820 26036 33844 44652 67166 130140 11264 11264 0 2 2 2 9626 10160 8716 8158 11280 18118 27558 37118 46602 67788 130652 0 0 0
0 0 7390 18672 18062 16372 18516 26228 39184 56436 77890 102404 126250 159456
20 29680 23744 25986 0 19440 14720 9656 9680 16952 35464 55480 72496 89416 115200 152952 193728 246320 17808 17808 0 0 0 18264 24 5112 5416 15496
26656 36560 45008 54640 69520 104904 204136 5936 5936 5936 0 8 8 8 20296 21376 18328 17360 24480 39352 57192 74216 107640 206592 5936 0 0
0 0 0 15576 39360 38120 34608 39064 55296 83456 121456 163448 201312 253144
21 28134 18756 18756 27384 0 24576 17460 11484 11538 20106 41778 65268 86382 108684 137898 171468 218502 18756 9378 18756 0 0 0 21672 54 6084 6462
18432 32112 44172 52596 62964 92916 180756 15630 3126 3126 3126 0 18 18 18 23994 25200 21816 21258 30240 46422 64422 95382 183114 18756 9378 0
0 0 0 0 18486 46692 45234 41076 46476 66564 101196 142560 178506 223956
22 24690 19752 14814 16460 26466 0 26950 17340 11458 11560 19958 41310 65178 87652 108970 131036 165886 21398 11522 4938 21398 0 0 0 21590 102 6086
6562 18734 32504 42772 49844 70380 135524 26336 14814 1646 1646 1646 0 34 34 34 23698 25024 22202 22168 30600 44846 69666 135082 34566 32920 14814
0 0 0 0 0 18394 46376 44846 40868 47090 68204 99756 129336 163166
23 30380 21700 16492 13888 17360 26628 0 27264 17152 11392 11584 19904 41280 65536 86336 102016 127168 29512 13020 8680 2604 22568 0 0 0 21376 192
6144 6848 19072 31232 39296 53888 102016 36456 20832 18228 868 868 868 0 64 64 64 23360 25088 22656 22592 30720 49856 98496 48608 42532 43400
18228 0 0 0 0 0 18112 45568 44096 40960 48512 68096 91008 116736
24 47174 36182 22442 14656 13282 18320 27306 0 27300 17608 11780 12152 20956 42780 65100 80104 98580 42136 20610 9618 7786 1374 22442 0 0 0 21700
372 6572 7564 19220 29264 41912 78616 45800 25190 21984 22442 458 458 458 0 124 124 124 23932 25792 22940 23808 37200 74276 59082 47632 47174
46716 18778 0 0 0 0 0 18228 45880 45012 43400 51460 66960 87544
25 71760 57600 42000 22320 13200 12480 18240 27492 0 27492 18240 12480 13200 22320 42000 57600 71760 59040 30720 18720 8400 7200 720 22080 0 0 0
22080 720 7200 8400 18720 30720 59040 57600 29520 22560 24960 24240 240 240 240 0 240 240 240 24240 24960 22560 29520 57600 70080 53760 46560
46800 46560 18480 0 0 0 0 0 18480 46560 46800 46560 53760 70080
26 98580 80104 65100 42780 20956 12152 11780 17608 27300 0 27306 18320 13282 14656 22442 36182 47174 78616 41912 29264 19220 7564 6572 372 21700 0 0
0 22442 1374 7786 9618 20610 42136 74276 37200 23808 22940 25792 23932 124 124 124 0 458 458 458 22442 21984 25190 45800 87544 66960 51460
43400 45012 45880 18228 0 0 0 0 0 18778 46716 47174 47632 59082
27 127168 102016 86336 65536 41280 19904 11584 11392 17152 27264 0 26628 17360 13888 16492 21700 30380 102016 53888 39296 31232 19072 6848 6144 192 21376 0
0 0 22568 2604 8680 13020 29512 98496 49856 30720 22592 22656 25088 23360 64 64 64 0 868 868 868 18228 20832 36456 116736 91008 68096
48512 40960 44096 45568 18112 0 0 0 0 0 18228 43400 42532 48608
28 165886 131036 108970 87652 65178 41310 19958 11560 11458 17340 26950 0 26466 16460 14814 19752 24690 135524 70380 49844 42772 32504 18734 6562 6086 102 21590
0 0 0 21398 4938 11522 21398 135082 69666 44846 30600 22168 22202 25024 23698 34 34 34 0 1646 1646 1646 14814 26336 163166 129336 99756
68204 47090 40868 44846 46376 18394 0 0 0 0 0 14814 32920 34566
29 218502 171468 137898 108684 86382 65268 41778 20106 11538 11484 17460 24576 0 27384 18756 18756 28134 180756 92916 62964 52596 44172 32112 18432 6462 6084 54
21672 0 0 0 18756 9378 18756 183114 95382 64422 46422 30240 21258 21816 25200 23994 18 18 18 0 3126 3126 3126 15630 223956 178506 142560
101196 66564 46476 41076 45234 46692 18486 0 0 0 0 0 9378 18756
30 246320 193728 152952 115200 89416 72496 55480 35464 16952 9680 9656 14720 19440 0 25986 23744 29680 204136 104904 69520 54640 45008 36560 26656 15496 5416 5112
24 18264 0 0 0 17808 17808 206592 107640 74216 57192 39352 24480 17360 18328 21376 20296 8 8 8 0 5936 5936 5936 253144 201312 163448
121456 83456 55296 39064 34608 38120 39360 15576 0 0 0 0 0 5936
31 157684 124592 98490 72276 53198 42064 34598 26472 16842 8022 4578 4572 6976 14752 0 16440 22528 130140 67166 44652 33844 26036 20820 17052 12640 7372 2558
2416 6 8664 0 0 0 22528 130652 67788 46602 37118 27558 18118 11280 8158 8716 10160 9626 2 2 2 0 11264 11264 159456 126250 102404
77890 56436 39184 26228 18516 16372 18062 18672 7390 0 0 0 0 0
32 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13992 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 21368 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 47914 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 29589 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 8221 40538
34 40538 8221 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 29589 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 47914 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 21368 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13992
0 0 0 0 0 0 0 0 0 0 0 0 0 0
36 0 0 0 0 0 7390 18672 18062 16372 18516 26228 39184 56436 77890 102404 126250 159456 11264 11264 0 2 2 2 9626 10160 8716 8158
11280 18118 27558 37118 46602 67788 130652 22528 0 0 0 8664 6 2416 2558 7372 12640 17052 20820 26036 33844 44652 67166 130140 22528 16440 0
14752 6976 4572 4578 8022 16842 26472 34598 42064 53198 72276 98490 124592 157684
37 5936 0 0 0 0 0 15576 39360 38120 34608 39064 55296 83456 121456 163448 201312 253144 5936 5936 5936 0 8 8 8 20296 21376 18328
17360 24480 39352 57192 74216 107640 206592 17808 17808 0 0 0 18264 24 5112 5416 15496 26656 36560 45008 54640 69520 104904 204136 29680 23744 25986
0 19440 14720 9656 9680 16952 35464 55480 72496 89416 115200 152952 193728 246320
38 18756 9378 0 0 0 0 0 18486 46692 45234 41076 46476 66564 101196 142560 178506 223956 15630 3126 3126 3126 0 18 18 18 23994 25200
21816 21258 30240 46422 64422 95382 183114 18756 9378 18756 0 0 0 21672 54 6084 6462 18432 32112 44172 52596 62964 92916 180756 28134 18756 18756
27384 0 24576 17460 11484 11538 20106 41778 65268 86382 108684 137898 171468 218502
39 34566 32920 14814 0 0 0 0 0 18394 46376 44846 40868 47090 68204 99756 129336 163166 26336 14814 1646 1646 1646 0 34 34 34 23698
25024 22202 22168 30600 44846 69666 135082 21398 11522 4938 21398 0 0 0 21590 102 6086 6562 18734 32504 42772 49844 70380 135524 24690 19752 14814
16460 26466 0 26950 17340 11458 11560 19958 41310 65178 87652 108970 131036 165886
40 48608 42532 43400 18228 0 0 0 0 0 18112 45568 44096 40960 48512 68096 91008 116736 36456 20832 18228 868 868 868 0 64 64 64
23360 25088 22656 22592 30720 49856 98496 29512 13020 8680 2604 22568 0 0 0 21376 192 6144 6848 19072 31232 39296 53888 102016 30380 21700 16492
13888 17360 26628 0 27264 17152 11392 11584 19904 41280 65536 86336 102016 127168
41 59082 47632 47174 46716 18778 0 0 0 0 0 18228 45880 45012 43400 51460 66960 87544 45800 25190 21984 22442 458 458 458 0 124 124
124 23932 25792 22940 23808 37200 74276 42136 20610 9618 7786 1374 22442 0 0 0 21700 372 6572 7564 19220 29264 41912 78616 47174 36182 22442
14656 13282 18320 27306 0 27300 17608 11780 12152 20956 42780 65100 80104 98580
42 70080 53760 46560 46800 46560 18480 0 0 0 0 0 18480 46560 46800 46560 53760 70080 57600 29520 22560 24960 24240 240 240 240 0 240
240 240 24240 24960 22560 29520 57600 59040 30720 18720 8400 7200 720 22080 0 0 0 22080 720 7200 8400 18720 30720 59040 71760 57600 42000
22320 13200 12480 18240 27492 0 27492 18240 12480 13200 22320 42000 57600 71760
43 87544 66960 51460 43400 45012 45880 18228 0 0 0 0 0 18778 46716 47174 47632 59082 74276 37200 23808 22940 25792 23932 124 124 124 0
458 458 458 22442 21984 25190 45800 78616 41912 29264 19220 7564 6572 372 21700 0 0 0 22442 1374 7786 9618 20610 42136 98580 80104 65100
42780 20956 12152 11780 17608 27300 0 27306 18320 13282 14656 22442 36182 47174
44 116736 91008 68096 48512 40960 44096 45568 18112 0 0 0 0 0 18228 43400 42532 48608 98496 49856 30720 22592 22656 25088 23360 64 64 64
0 868 868 868 18228 20832 36456 102016 53888 39296 31232 19072 6848 6144 192 21376 0 0 0 22568 2604 8680 13020 29512 127168 102016 86336
65536 41280 19904 11584 11392 17152 27264 0 26628 17360 13888 16492 21700 30380
45 163166 129336 99756 68204 47090 40868 44846 46376 18394 0 0 0 0 0 14814 32920 34566 135082 69666 44846 30600 22168 22202 25024 23698 34 34
34 0 1646 1646 1646 14814 26336 135524 70380 49844 42772 32504 18734 6562 6086 102 21590 0 0 0 21398 4938 11522 21398 165886 131036 108970
87652 65178 41310 19958 11560 11458 17340 26950 0 26466 16460 14814 19752 24690
46 223956 178506 142560 101196 66564 46476 41076 45234 46692 18486 0 0 0 0 0 9378 18756 183114 95382 64422 46422 30240 21258 21816 25200 23994 18
18 18 0 3126 3126 3126 15630 180756 92916 62964 52596 44172 32112 18432 6462 6084 54 21672 0 0 0 18756 9378 18756 218502 171468 137898
108684 86382 65268 41778 20106 11538 11484 17460 24576 0 27384 18756 18756 28134
47 253144 201312 163448 121456 83456 55296 39064 34608 38120 39360 15576 0 0 0 0 0 5936 206592 107640 74216 57192 39352 24480 17360 18328 21376 20296
8 8 8 0 5936 5936 5936 204136 104904 69520 54640 45008 36560 26656 15496 5416 5112 24 18264 0 0 0 17808 17808 246320 193728 152952
115200 89416 72496 55480 35464 16952 9680 9656 14720 19440 0 25986 23744 29680
48 159456 126250 102404 77890 56436 39184 26228 18516 16372 18062 18672 7390 0 0 0 0 0 130652 67788 46602 37118 27558 18118 11280 8158 8716 10160
9626 2 2 2 0 11264 11264 130140 67166 44652 33844 26036 20820 17052 12640 7372 2558 2416 6 8664 0 0 0 22528 157684 124592 98490
72276 53198 42064 34598 26472 16842 8022 4578 4572 6976 14752 0 16440 22528
49 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 21368 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 13992 0 0
50 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8221 40538 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 29589 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 47914 0
51 39418 23820 23822 28919 45763 75948 115868 156102 198213 253752 335198 452606 619757 853866 1140973 1421424 1796183 56136 2 4 8227 21669 34264 54219 75031 94489 118270
155535 215537 302097 403609 518314 764235 1475742 0 2 14754 32882 43321 41114 43409 57937 85165 121681 166404 224611 303461 398883 513841 762161 1473928 0 0 73171
77141 82043 77409 94622 131002 187862 262155 352406 464588 619531 844778 1131431 1415743 1790781
52 0 0 0 8219 24490 30136 23798 21874 29102 47388 73590 103100 136286 179800 235968 294704 373844 0 0 0 0 8662 22822 14458 8942 10804 19808
33864 50452 68064 85738 107378 159058 308326 47914 0 16442 15554 2 10 4832 16522 26072 30920 33958 41882 58834 82494 109040 160992 310150 0 0 0
53242 10 7400 11294 35800 52362 61976 70812 89036 123414 176356 240526 300192 378256
53 0 0 0 0 17320 45944 49350 39368 37136 50400 80698 123136 173024 232184 301438 372000 471042 0 0 0 0 0 18256 36098 24160 15522 19254
34498 58328 85954 111318 137338 200234 386884 25256 39248 0 25994 16392 8 30 10204 28094 42430 50458 57654 73052 99198 133494 200326 387178 58416 0 0
0 64798 30 15606 23822 59840 85400 101404 117978 151968 213360 294862 372560 470274
54 13312 8219 0 0 0 25091 58268 58304 46840 44786 61164 97198 148608 210478 276412 337842 425612 13312 0 0 0 0 0 24060 41864 28790 18900
23970 42986 71710 100420 125826 180826 347270 13312 13312 28064 0 27404 15112 20 66 13452 33686 50064 60546 70644 87692 115952 176778 343788 44102 68472 0
0 0 66742 66 20606 31426 71304 100164 119374 142232 187300 255788 326836 414778
55 37270 34226 17320 0 0 0 28848 61442 60770 48980 46920 64160 102730 157940 217240 267100 334410 30256 14028 0 0 0 0 0 25360 43330 29880
20010 26050 46510 73600 98470 142210 271750 23242 7014 17666 26454 0 26506 15944 40 130 14180 35130 52830 64310 73170 89860 136190 266250 30256 23242 75272
0 0 0 70806 130 21770 33090 73740 103360 125020 152410 197120 250260 319810
56 60058 56364 53638 25091 0 0 0 29751 62044 61992 49972 48052 66476 106800 157900 200880 251348 44120 28182 18470 0 0 0 0 0 25308 43924
30428 21132 27960 47488 71040 107240 205824 31876 12244 3694 20542 28270 0 26704 17476 76 252 14336 36196 54528 63984 72180 104236 202796 27020 23326 12244
77002 0 0 0 75306 252 21760 32932 74232 105492 130224 157384 192072 245436
57 74210 61314 65816 62112 28848 0 0 0 29880 62642 62828 50774 49982 70108 107560 144728 183498 54866 31630 34186 23352 0 0 0 0 0 25404
44554 31554 22866 29882 48026 78608 153954 45862 20680 6448 1946 19682 28896 0 27452 18158 146 488 14992 37398 53460 60922 82324 156986 45252 29800 23962
6448 77050 0 0 0 77454 488 21950 33192 75688 109072 133356 154654 194496
58 83310 63252 58830 64596 62638 29751 0 0 0 29929 62730 62680 51706 53122 72746 101088 131870 66330 34350 29928 41778 25650 0 0 0 0 0
25662 45306 32658 24498 32572 56408 113656 66012 34032 17052 3396 1026 18098 28290 0 27774 17994 282 938 15976 36606 48984 65408 121718 77934 61272 34176
24942 3396 77172 0 0 0 77754 938 22652 34214 77332 108378 126212 154652
59 99228 74160 57492 54252 62652 62346 29880 0 0 0 29880 62346 62652 54252 57492 74160 99228 84720 41736 26688 32052 45240 25920 0 0 0 0
0 25920 45240 32052 26688 41736 84720 91872 49428 33504 16536 1788 540 17676 27840 0 27840 17676 540 1788 16536 33504 49428 91872 116400 95616 74160
35268 23928 1788 77484 0 0 0 77484 1788 23928 35268 74160 95616 116400
60 131870 101088 72746 53122 51706 62680 62730 29929 0 0 0 29751 62638 64596 58830 63252 83310 113656 56408 32572 24498 32658 45306 25662 0 0 0
0 0 25650 41778 29928 34350 66330 121718 65408 48984 36606 15976 938 282 17994 27774 0 28290 18098 1026 3396 17052 34032 66012 154652 126212 108378
77332 34214 22652 938 77754 0 0 0 77172 3396 24942 34176 61272 77934
61 183498 144728 107560 70108 49982 50774 62828 62642 29880 0 0 0 28848 62112 65816 61314 74210 153954 78608 48026 29882 22866 31554 44554 25404 0 0
0 0 0 23352 34186 31630 54866 156986 82324 60922 53460 37398 14992 488 146 18158 27452 0 28896 19682 1946 6448 20680 45862 194496 154654 133356
109072 75688 33192 21950 488 77454 0 0 0 77050 6448 23962 29800 45252
62 251348 200880 157900 106800 66476 48052 49972 61992 62044 29751 0 0 0 25091 53638 56364 60058 205824 107240 71040 47488 27960 21132 30428 43924 25308 0
0 0 0 0 18470 28182 44120 202796 104236 72180 63984 54528 36196 14336 252 76 17476 26704 0 28270 20542 3694 12244 31876 245436 192072 157384
130224 105492 74232 32932 21760 252 75306 0 0 0 77002 12244 23326 27020
63 334410 267100 217240 157940 102730 64160 46920 48980 60770 61442 28848 0 0 0 17320 34226 37270 271750 142210 98470 73600 46510 26050 20010 29880 43330 25360
0 0 0 0 0 14028 30256 266250 136190 89860 73170 64310 52830 35130 14180 130 40 15944 26506 0 26454 17666 7014 23242 319810 250260 197120
152410 125020 103360 73740 33090 21770 130 70806 0 0 0 75272 23242 30256
64 425612 337842 276412 210478 148608 97198 61164 44786 46840 58304 58268 25091 0 0 0 8219 13312 347270 180826 125826 100420 71710 42986 23970 18900 28790 41864
24060 0 0 0 0 0 13312 343788 176778 115952 87692 70644 60546 50064 33686 13452 66 20 15112 27404 0 28064 13312 13312 414778 326836 255788
187300 142232 119374 100164 71304 31426 20606 66 66742 0 0 0 68472 44102
65 471042 372000 301438 232184 173024 123136 80698 50400 37136 39368 49350 45944 17320 0 0 0 0 386884 200234 137338 111318 85954 58328 34498 19254 15522 24160
36098 18256 0 0 0 0 0 387178 200326 133494 99198 73052 57654 50458 42430 28094 10204 30 8 16392 25994 0 39248 25256 470274 372560 294862
213360 151968 117978 101404 85400 59840 23822 15606 30 64798 0 0 0 58416
66 373844 294704 235968 179800 136286 103100 73590 47388 29102 21874 23798 30136 24490 8219 0 0 0 308326 159058 107378 85738 68064 50452 33864 19808 10804 8942
14458 22822 8662 0 0 0 0 310150 160992 109040 82494 58834 41882 33958 30920 26072 16522 4832 10 2 15554 16442 0 47914 378256 300192 240526
176356 123414 89036 70812 61976 52362 35800 11294 7400 10 53242 0 0 0
67 1796183 1421424 1140973 853866 619757 452606 335198 253752 198213 156102 115868 75948 45763 28919 23822 23820 39418 1475742 764235 518314 403609 302097 215537 155535 118270 94489 75031
54219 34264 21669 8227 4 2 56136 1473928 762161 513841 398883 303461 224611 166404 121681 85165 57937 43409 41114 43321 32882 14754 2 0 1790781 1415743 1131431
844778 619531 464588 352406 262155 187862 131002 94622 77409 82043 77141 73171 0 0
Sum of all rows = 4(3*0 + 2*2 + 1*4 + 1*8227 + 1*14754 + 1*21669 + 1*23820 + 1*23822 + 1*28919 + 1*32882 + 1*34264 + 1*39418 + 1*41114 + 1*43321 + 1*43409 + 1*45763 + 1*54219 + 1*56136 + 1*57937 + 1*73171 +
1*75031 + 1*75948 + 1*77141 + 1*77409 + 1*82043 + 1*85165 + 1*94489 + 1*94622 + 1*115868 + 1*118270 + 1*121681 + 1*131002 + 1*155535 + 1*156102 + 1*166404 + 1*187862 + 1*198213 + 1*215537 +
1*224611 + 1*253752 + 1*262155 + 1*302097 + 1*303461 + 1*335198 + 1*352406 + 1*398883 + 1*403609 + 1*452606 + 1*464588 + 1*513841 + 1*518314 + 1*619531 + 1*619757 + 1*762161 + 1*764235 +
1*844778 + 1*853866 + 1*1131431 + 1*1140973 + 1*1415743 + 1*1421424 + 1*1473928 + 1*1475742 + 1*1790781 + 1*1796183) +
4(11*0 + 1*2 + 2*10 + 1*4832 + 1*7400 + 1*8219 + 1*8662 + 1*8942 + 1*10804 + 1*11294 + 1*14458 + 1*15554 + 1*16442 + 1*16522 + 1*19808 + 1*21874 + 1*22822 + 1*23798 + 1*24490 + 1*26072 +
1*29102 + 1*30136 + 1*30920 + 1*33864 + 1*33958 + 1*35800 + 1*41882 + 1*47388 + 1*47914 + 1*50452 + 1*52362 + 1*53242 + 1*58834 + 1*61976 + 1*68064 + 1*70812 + 1*73590 + 1*82494 + 1*85738 +
1*89036 + 1*103100 + 1*107378 + 1*109040 + 1*123414 + 1*136286 + 1*159058 + 1*160992 + 1*176356 + 1*179800 + 1*235968 + 1*240526 + 1*294704 + 1*300192 + 1*308326 + 1*310150 + 1*373844 +
1*378256) +
4(13*0 + 1*8 + 2*30 + 1*10204 + 1*15522 + 1*15606 + 1*16392 + 1*17320 + 1*18256 + 1*19254 + 1*23822 + 1*24160 + 1*25256 + 1*25994 + 1*28094 + 1*34498 + 1*36098 + 1*37136 + 1*39248 + 1*39368 +
1*42430 + 1*45944 + 1*49350 + 1*50400 + 1*50458 + 1*57654 + 1*58328 + 1*58416 + 1*59840 + 1*64798 + 1*73052 + 1*80698 + 1*85400 + 1*85954 + 1*99198 + 1*101404 + 1*111318 + 1*117978 +
1*123136 + 1*133494 + 1*137338 + 1*151968 + 1*173024 + 1*200234 + 1*200326 + 1*213360 + 1*232184 + 1*294862 + 1*301438 + 1*372000 + 1*372560 + 1*386884 + 1*387178 + 1*470274 + 1*471042) +
4(12*0 + 1*20 + 2*66 + 1*8219 + 4*13312 + 1*13452 + 1*15112 + 1*18900 + 1*20606 + 1*23970 + 1*24060 + 1*25091 + 1*27404 + 1*28064 + 1*28790 + 1*31426 + 1*33686 + 1*41864 + 1*42986 + 1*44102 +
1*44786 + 1*46840 + 1*50064 + 1*58268 + 1*58304 + 1*60546 + 1*61164 + 1*66742 + 1*68472 + 1*70644 + 1*71304 + 1*71710 + 1*87692 + 1*97198 + 1*100164 + 1*100420 + 1*115952 + 1*119374 +
1*125826 + 1*142232 + 1*148608 + 1*176778 + 1*180826 + 1*187300 + 1*210478 + 1*255788 + 1*276412 + 1*326836 + 1*337842 + 1*343788 + 1*347270 + 1*414778 + 1*425612) +
4(12*0 + 1*40 + 2*130 + 1*7014 + 1*14028 + 1*14180 + 1*15944 + 1*17320 + 1*17666 + 1*20010 + 1*21770 + 2*23242 + 1*25360 + 1*26050 + 1*26454 + 1*26506 + 1*28848 + 1*29880 + 2*30256 + 1*33090 +
1*34226 + 1*35130 + 1*37270 + 1*43330 + 1*46510 + 1*46920 + 1*48980 + 1*52830 + 1*60770 + 1*61442 + 1*64160 + 1*64310 + 1*70806 + 1*73170 + 1*73600 + 1*73740 + 1*75272 + 1*89860 + 1*98470 +
1*102730 + 1*103360 + 1*125020 + 1*136190 + 1*142210 + 1*152410 + 1*157940 + 1*197120 + 1*217240 + 1*250260 + 1*266250 + 1*267100 + 1*271750 + 1*319810 + 1*334410) +
4(12*0 + 1*76 + 2*252 + 1*3694 + 2*12244 + 1*14336 + 1*17476 + 1*18470 + 1*20542 + 1*21132 + 1*21760 + 1*23326 + 1*25091 + 1*25308 + 1*26704 + 1*27020 + 1*27960 + 1*28182 + 1*28270 + 1*29751 +
1*30428 + 1*31876 + 1*32932 + 1*36196 + 1*43924 + 1*44120 + 1*47488 + 1*48052 + 1*49972 + 1*53638 + 1*54528 + 1*56364 + 1*60058 + 1*61992 + 1*62044 + 1*63984 + 1*66476 + 1*71040 + 1*72180 +
1*74232 + 1*75306 + 1*77002 + 1*104236 + 1*105492 + 1*106800 + 1*107240 + 1*130224 + 1*157384 + 1*157900 + 1*192072 + 1*200880 + 1*202796 + 1*205824 + 1*245436 + 1*251348) +
4(12*0 + 1*146 + 2*488 + 1*1946 + 2*6448 + 1*14992 + 1*18158 + 1*19682 + 1*20680 + 1*21950 + 1*22866 + 1*23352 + 1*23962 + 1*25404 + 1*27452 + 1*28848 + 1*28896 + 2*29800 + 1*29882 + 1*31554 +
1*31630 + 1*33192 + 1*34186 + 1*37398 + 1*44554 + 1*45252 + 1*45862 + 1*48026 + 1*49982 + 1*50774 + 1*53460 + 1*54866 + 1*60922 + 1*61314 + 1*62112 + 1*62642 + 1*62828 + 1*65816 + 1*70108 +
1*74210 + 1*75688 + 1*77050 + 1*77454 + 1*78608 + 1*82324 + 1*107560 + 1*109072 + 1*133356 + 1*144728 + 1*153954 + 1*154654 + 1*156986 + 1*183498 + 1*194496) +
4(12*0 + 1*282 + 2*938 + 1*1026 + 2*3396 + 1*15976 + 1*17052 + 1*17994 + 1*18098 + 1*22652 + 1*24498 + 1*24942 + 1*25650 + 1*25662 + 1*27774 + 1*28290 + 1*29751 + 1*29928 + 1*29929 + 1*32572 +
1*32658 + 1*34032 + 1*34176 + 1*34214 + 1*34350 + 1*36606 + 1*41778 + 1*45306 + 1*48984 + 1*51706 + 1*53122 + 1*56408 + 1*58830 + 1*61272 + 1*62638 + 1*62680 + 1*62730 + 1*63252 + 1*64596 +
1*65408 + 1*66012 + 1*66330 + 1*72746 + 1*77172 + 1*77332 + 1*77754 + 1*77934 + 1*83310 + 1*101088 + 1*108378 + 1*113656 + 1*121718 + 1*126212 + 1*131870 + 1*154652) +
2(12*0 + 2*540 + 4*1788 + 2*16536 + 2*17676 + 2*23928 + 2*25920 + 2*26688 + 2*27840 + 2*29880 + 2*32052 + 2*33504 + 2*35268 + 2*41736 + 2*45240 + 2*49428 + 2*54252 + 2*57492 + 2*62346 +
2*62652 + 4*74160 + 2*77484 + 2*84720 + 2*91872 + 2*95616 + 2*99228 + 2*116400) +
4(64*0 + 1*8221 + 1*29589 + 1*40538 + 1*47914) +
4(66*0 + 1*13992 + 1*21368) +
4(10*0 + 3*2 + 1*6 + 1*2416 + 1*2558 + 1*4572 + 1*4578 + 1*6976 + 1*7372 + 1*7390 + 1*8022 + 1*8158 + 1*8664 + 1*8716 + 1*9626 + 1*10160 + 2*11264 + 1*11280 + 1*12640 + 1*14752 + 1*16372 +
1*16440 + 1*16842 + 1*17052 + 1*18062 + 1*18118 + 1*18516 + 1*18672 + 1*20820 + 2*22528 + 1*26036 + 1*26228 + 1*26472 + 1*27558 + 1*33844 + 1*34598 + 1*37118 + 1*39184 + 1*42064 + 1*44652 +
1*46602 + 1*53198 + 1*56436 + 1*67166 + 1*67788 + 1*72276 + 1*77890 + 1*98490 + 1*102404 + 1*124592 + 1*126250 + 1*130140 + 1*130652 + 1*157684 + 1*159456) +
4(10*0 + 3*8 + 1*24 + 1*5112 + 1*5416 + 4*5936 + 1*9656 + 1*9680 + 1*14720 + 1*15496 + 1*15576 + 1*16952 + 1*17360 + 2*17808 + 1*18264 + 1*18328 + 1*19440 + 1*20296 + 1*21376 + 1*23744 +
1*24480 + 1*25986 + 1*26656 + 1*29680 + 1*34608 + 1*35464 + 1*36560 + 1*38120 + 1*39064 + 1*39352 + 1*39360 + 1*45008 + 1*54640 + 1*55296 + 1*55480 + 1*57192 + 1*69520 + 1*72496 + 1*74216 +
1*83456 + 1*89416 + 1*104904 + 1*107640 + 1*115200 + 1*121456 + 1*152952 + 1*163448 + 1*193728 + 1*201312 + 1*204136 + 1*206592 + 1*246320 + 1*253144) +
4(10*0 + 3*18 + 1*54 + 3*3126 + 1*6084 + 1*6462 + 2*9378 + 1*11484 + 1*11538 + 1*15630 + 1*17460 + 1*18432 + 1*18486 + 5*18756 + 1*20106 + 1*21258 + 1*21672 + 1*21816 + 1*23994 + 1*24576 +
1*25200 + 1*27384 + 1*28134 + 1*30240 + 1*32112 + 1*41076 + 1*41778 + 1*44172 + 1*45234 + 1*46422 + 1*46476 + 1*46692 + 1*52596 + 1*62964 + 1*64422 + 1*65268 + 1*66564 + 1*86382 + 1*92916 +
1*95382 + 1*101196 + 1*108684 + 1*137898 + 1*142560 + 1*171468 + 1*178506 + 1*180756 + 1*183114 + 1*218502 + 1*223956) +
4(10*0 + 3*34 + 1*102 + 3*1646 + 1*4938 + 1*6086 + 1*6562 + 1*11458 + 1*11522 + 1*11560 + 3*14814 + 1*16460 + 1*17340 + 1*18394 + 1*18734 + 1*19752 + 1*19958 + 2*21398 + 1*21590 + 1*22168 +
1*22202 + 1*23698 + 1*24690 + 1*25024 + 1*26336 + 1*26466 + 1*26950 + 1*30600 + 1*32504 + 1*32920 + 1*34566 + 1*40868 + 1*41310 + 1*42772 + 2*44846 + 1*46376 + 1*47090 + 1*49844 + 1*65178 +
1*68204 + 1*69666 + 1*70380 + 1*87652 + 1*99756 + 1*108970 + 1*129336 + 1*131036 + 1*135082 + 1*135524 + 1*163166 + 1*165886) +
4(10*0 + 3*64 + 1*192 + 3*868 + 1*2604 + 1*6144 + 1*6848 + 1*8680 + 1*11392 + 1*11584 + 1*13020 + 1*13888 + 1*16492 + 1*17152 + 1*17360 + 1*18112 + 2*18228 + 1*19072 + 1*19904 + 1*20832 +
1*21376 + 1*21700 + 1*22568 + 1*22592 + 1*22656 + 1*23360 + 1*25088 + 1*26628 + 1*27264 + 1*29512 + 1*30380 + 1*30720 + 1*31232 + 1*36456 + 1*39296 + 1*40960 + 1*41280 + 1*42532 + 1*43400 +
1*44096 + 1*45568 + 1*48512 + 1*48608 + 1*49856 + 1*53888 + 1*65536 + 1*68096 + 1*86336 + 1*91008 + 1*98496 + 2*102016 + 1*116736 + 1*127168) +
4(10*0 + 3*124 + 1*372 + 3*458 + 1*1374 + 1*6572 + 1*7564 + 1*7786 + 1*9618 + 1*11780 + 1*12152 + 1*13282 + 1*14656 + 1*17608 + 1*18228 + 1*18320 + 1*18778 + 1*19220 + 1*20610 + 1*20956 +
1*21700 + 1*21984 + 3*22442 + 1*22940 + 1*23808 + 1*23932 + 1*25190 + 1*25792 + 1*27300 + 1*27306 + 1*29264 + 1*36182 + 1*37200 + 1*41912 + 1*42136 + 1*42780 + 1*43400 + 1*45012 + 1*45800 +
1*45880 + 1*46716 + 2*47174 + 1*47632 + 1*51460 + 1*59082 + 1*65100 + 1*66960 + 1*74276 + 1*78616 + 1*80104 + 1*87544 + 1*98580) +
2(10*0 + 6*240 + 2*720 + 2*7200 + 2*8400 + 2*12480 + 2*13200 + 2*18240 + 2*18480 + 2*18720 + 2*22080 + 2*22320 + 2*22560 + 2*24240 + 2*24960 + 2*27492 + 2*29520 + 2*30720 + 2*42000 + 4*46560 +
2*46800 + 2*53760 + 4*57600 + 2*59040 + 2*70080 + 2*71760)
= 95068916 + 20147876 + 25360872 + 22924600 + 18504048 + 15062216 + 12767536 + 11366616 + 5440776 + 505048 + 141440 + 8660592 + 13550824 + 12196296 + 9570584 + 7877856 + 7071536 + 3415248
= 289632880
Value repetition frequencies = 4(63*1 + 1*2 + 1*3) +
4(55*1 + 1*2 + 1*11) +
4(53*1 + 1*2 + 1*13) +
4(50*1 + 1*2 + 1*4 + 1*12) +
4(50*1 + 3*2 + 1*12) +
4(52*1 + 2*2 + 1*12) +
4(50*1 + 3*2 + 1*12) +
4(52*1 + 2*2 + 1*12) +
2(24*2 + 2*4 + 1*12) +
4(4*1 + 1*64) +
4(2*1 + 1*66) +
4(51*1 + 2*2 + 1*3 + 1*10) +
4(49*1 + 1*2 + 1*3 + 1*4 + 1*10) +
4(45*1 + 1*2 + 2*3 + 1*5 + 1*10) +
4(45*1 + 2*2 + 3*3 + 1*10) +
4(48*1 + 2*2 + 2*3 + 1*10) +
4(47*1 + 1*2 + 3*3 + 1*10) +
2(22*2 + 2*4 + 1*6 + 1*10)
= 4624
Number of distinct row element sets = 18
Number of rows = 2*2 + 16*4
= 68
Number of distinct values = 787
Distinct values 0 2 4 6 8 10 18 20 24 30 34 40 54 64 66 76 102 124 130 146
Frequency 1152 24 4 4 16 8 12 4 4 8 12 4 4 12 8 4 4 12 8 4
Distinct values 192 240 252 282 372 458 488 540 720 868 938 1026 1374 1646 1788 1946 2416 2558 2604 3126
Frequency 4 12 8 4 4 12 8 4 4 12 8 4 4 12 8 4 4 4 4 12
Distinct values 3396 3694 4572 4578 4832 4938 5112 5416 5936 6084 6086 6144 6448 6462 6562 6572 6848 6976 7014 7200
Frequency 8 4 4 4 4 4 4 4 16 4 4 4 8 4 4 4 4 4 4 4
Distinct values 7372 7390 7400 7564 7786 8022 8158 8219 8221 8227 8400 8662 8664 8680 8716 8942 9378 9618 9626 9656
Frequency 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 8 4 4 4
Distinct values 9680 10160 10204 10804 11264 11280 11294 11392 11458 11484 11522 11538 11560 11584 11780 12152 12244 12480 12640 13020
Frequency 4 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4
Distinct values 13200 13282 13312 13452 13888 13992 14028 14180 14336 14458 14656 14720 14752 14754 14814 14992 15112 15496 15522 15554
Frequency 4 4 16 4 4 4 4 4 4 4 4 4 4 4 12 4 4 4 4 4
Distinct values 15576 15606 15630 15944 15976 16372 16392 16440 16442 16460 16492 16522 16536 16842 16952 17052 17152 17320 17340 17360
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 4 8 4 8
Distinct values 17460 17476 17608 17666 17676 17808 17994 18062 18098 18112 18118 18158 18228 18240 18256 18264 18320 18328 18394 18432
Frequency 4 4 4 4 4 8 4 4 4 4 4 4 12 4 4 4 4 4 4 4
Distinct values 18470 18480 18486 18516 18672 18720 18734 18756 18778 18900 19072 19220 19254 19440 19682 19752 19808 19904 19958 20010
Frequency 4 4 4 4 4 4 4 20 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 20106 20296 20542 20606 20610 20680 20820 20832 20956 21132 21258 21368 21376 21398 21590 21669 21672 21700 21760 21770
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 8 8 4 4 4 8 4 4
Distinct values 21816 21874 21950 21984 22080 22168 22202 22320 22442 22528 22560 22568 22592 22652 22656 22822 22866 22940 23242 23326
Frequency 4 4 4 4 4 4 4 4 12 8 4 4 4 4 4 4 4 4 8 4
Distinct values 23352 23360 23698 23744 23798 23808 23820 23822 23928 23932 23962 23970 23994 24060 24160 24240 24480 24490 24498 24576
Frequency 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 24690 24942 24960 25024 25088 25091 25190 25200 25256 25308 25360 25404 25650 25662 25792 25920 25986 25994 26036 26050
Frequency 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 26072 26228 26336 26454 26466 26472 26506 26628 26656 26688 26704 26950 27020 27264 27300 27306 27384 27404 27452 27492
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 27558 27774 27840 27960 28064 28094 28134 28182 28270 28290 28790 28848 28896 28919 29102 29264 29512 29520 29589 29680
Frequency 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4
Distinct values 29751 29800 29880 29882 29928 29929 30136 30240 30256 30380 30428 30600 30720 30920 31232 31426 31554 31630 31876 32052
Frequency 8 4 12 4 4 4 4 4 8 4 4 4 8 4 4 4 4 4 4 4
Distinct values 32112 32504 32572 32658 32882 32920 32932 33090 33192 33504 33686 33844 33864 33958 34032 34176 34186 34214 34226 34264
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 34350 34498 34566 34598 34608 35130 35268 35464 35800 36098 36182 36196 36456 36560 36606 37118 37136 37200 37270 37398
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 38120 39064 39184 39248 39296 39352 39360 39368 39418 40538 40868 40960 41076 41114 41280 41310 41736 41778 41864 41882
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4
Distinct values 41912 42000 42064 42136 42430 42532 42772 42780 42986 43321 43330 43400 43409 43924 44096 44102 44120 44172 44554 44652
Frequency 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4
Distinct values 44786 44846 45008 45012 45234 45240 45252 45306 45568 45763 45800 45862 45880 45944 46376 46422 46476 46510 46560 46602
Frequency 4 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 4
Distinct values 46692 46716 46800 46840 46920 47090 47174 47388 47488 47632 47914 48026 48052 48512 48608 48980 48984 49350 49428 49844
Frequency 4 4 4 4 4 4 8 4 4 4 8 4 4 4 4 4 4 4 4 4
Distinct values 49856 49972 49982 50064 50400 50452 50458 50774 51460 51706 52362 52596 52830 53122 53198 53242 53460 53638 53760 53888
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 54219 54252 54528 54640 54866 55296 55480 56136 56364 56408 56436 57192 57492 57600 57654 57937 58268 58304 58328 58416
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4
Distinct values 58830 58834 59040 59082 59840 60058 60546 60770 60922 61164 61272 61314 61442 61976 61992 62044 62112 62346 62638 62642
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 62652 62680 62730 62828 62964 63252 63984 64160 64310 64422 64596 64798 65100 65178 65268 65408 65536 65816 66012 66330
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 66476 66564 66742 66960 67166 67788 68064 68096 68204 68472 69520 69666 70080 70108 70380 70644 70806 70812 71040 71304
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 71710 71760 72180 72276 72496 72746 73052 73170 73171 73590 73600 73740 74160 74210 74216 74232 74276 75031 75272 75306
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4
Distinct values 75688 75948 77002 77050 77141 77172 77332 77409 77454 77484 77754 77890 77934 78608 78616 80104 80698 82043 82324 82494
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 83310 83456 84720 85165 85400 85738 85954 86336 86382 87544 87652 87692 89036 89416 89860 91008 91872 92916 94489 94622
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 95382 95616 97198 98470 98490 98496 98580 99198 99228 99756 100164 100420 101088 101196 101404 102016 102404 102730 103100 103360
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4 4
Distinct values 104236 104904 105492 106800 107240 107378 107560 107640 108378 108684 108970 109040 109072 111318 113656 115200 115868 115952 116400 116736
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 117978 118270 119374 121456 121681 121718 123136 123414 124592 125020 125826 126212 126250 127168 129336 130140 130224 130652 131002 131036
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 131870 133356 133494 135082 135524 136190 136286 137338 137898 142210 142232 142560 144728 148608 151968 152410 152952 153954 154652 154654
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 155535 156102 156986 157384 157684 157900 157940 159058 159456 160992 163166 163448 165886 166404 171468 173024 176356 176778 178506 179800
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 180756 180826 183114 183498 187300 187862 192072 193728 194496 197120 198213 200234 200326 200880 201312 202796 204136 205824 206592 210478
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 213360 215537 217240 218502 223956 224611 232184 235968 240526 245436 246320 250260 251348 253144 253752 255788 262155 266250 267100 271750
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 276412 294704 294862 300192 301438 302097 303461 308326 310150 319810 326836 334410 335198 337842 343788 347270 352406 372000 372560 373844
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 378256 386884 387178 398883 403609 414778 425612 452606 464588 470274 471042 513841 518314 619531 619757 762161 764235 844778 853866 1131431
Frequency 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
Distinct values 1140973 1415743 1421424 1473928 1475742 1790781 1796183
Frequency 4 4 4 4 4 4 4
Sum of distinct value frequencies = 730*4 + 38*8 + 13*12 + 3*16 + 1*20 + 1*24 + 1*1152
= 4624
Number of SN-EN pairs for which the number of CNSAPs is greater than zero = 4*2 + 4*4 + 4*55 + 22*56 + 4*57 + 26*58 + 4*65
= 3472
Number of SN-EN pairs, with SN != EN, for which the number of CNSAPs equals zero = 1084
Number of possible SN-EN pairs with SN != EN = 67*68
= 4556
