| Radix Character Encoding | ||
|---|---|---|
| 0 | 1 | 2 |
| Color Key | ||
|---|---|---|
| Orange | Fixed Point | number that becomes itself after one iteration |
| Green | Final Numbers | all numbers eventually reached, from all cycles |
| Purple | Cycle Start | iterations include entry into cycle, assuming it repeats |
| Red | Full Cycle | iterations include entire cycle, proving it repeats |
| Blue | Start Numbers | subset (optimization) of all numbers; minimal for full coverage |
| Gray | No Results | any calculation that has no results |
| Digits | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69 | 70 | 71 | 72 | 73 | 74 | 75 | 76 | 77 | 78 | 79 | 80 | 81 | 82 | 83 | 84 | 85 | 86 | 87 | 88 | 89 | 90 | 91 | 92 | 93 | 94 | 95 | 96 | 97 | 98 | 99 | 100 |
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| Average Steps Full Cycle | 1.67 step avg | 2.67 step avg | 2.50 step avg | 3.20 step avg | 3.14 step avg | 4.43 step avg | 3.58 step avg | 3.80 step avg | 4.13 step avg | 4.91 step avg | 3.97 step avg | 4.58 step avg | 5.08 step avg | 4.49 step avg | 5.76 step avg | 4.71 step avg | 4.96 step avg | 5.43 step avg | 5.13 step avg | 5.12 step avg | 6.76 step avg | 5.11 step avg | 6.02 step avg | 5.65 step avg | 7.74 step avg | 5.39 step avg | 7.75 step avg | 6.07 step avg | 7.63 step avg | 5.76 step avg | 9.27 step avg | 5.55 step avg | 7.96 step avg | 6.21 step avg | 7.72 step avg | 6.08 step avg | 8.45 step avg | 5.92 step avg | 10.25 step avg | 6.90 step avg | 9.57 step avg | 6.36 step avg | 9.72 step avg | 6.44 step avg | 9.34 step avg | 6.60 step avg | 9.42 step avg | 7.49 step avg | 11.66 step avg | 6.96 step avg | 11.98 step avg | 7.60 step avg | 10.80 step avg | 7.51 step avg | 13.24 step avg | 7.63 step avg | 12.86 step avg | 7.41 step avg | 12.19 step avg | 8.56 step avg | 14.55 step avg | 7.75 step avg | 15.62 step avg | 7.75 step avg | 13.65 step avg | 8.08 step avg | 13.28 step avg | 7.89 step avg | 15.92 step avg | 7.80 step avg | 15.30 step avg | 8.23 step avg | 17.27 step avg | 7.85 step avg | 15.59 step avg | 9.18 step avg | 15.84 step avg | 8.88 step avg | 16.82 step avg | 9.00 step avg | 18.60 step avg | 8.69 step avg | 17.91 step avg | 9.08 step avg | 19.91 step avg | 8.78 step avg | 17.90 step avg | 8.84 step avg | 18.85 step avg | 8.80 step avg | 18.05 step avg | 8.91 step avg | 17.77 step avg | 9.24 step avg | 17.32 step avg | 10.33 step avg | 18.70 step avg | 9.56 step avg | 18.73 step avg | 10.66 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 2× | 0s: 1s: 2s: 3s: 4s: 0× 1× 2× 1× 2× | 0s: 1s: 2s: 3s: 0× 1× 3× 6× | 0s: 1s: 2s: 3s: 4s: 0× 1× 2× 5× 7× | 0s: 1s: 2s: 3s: 4s: 5s: 0× 1× 6× 7× 3× 4× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 0× 1× 2× 0× 9× 13× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 0× 1× 6× 11× 11× 3× 4× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 0× 1× 6× 15× 5× 15× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 0× 1× 6× 11× 15× 15× 3× 4× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 0× 1× 6× 7× 2× 20× 28× 2× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 0× 1× 10× 15× 27× 18× 3× 4× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 0× 1× 6× 15× 29× 12× 15× 11× 2× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 0× 1× 10× 11× 27× 6× 20× 23× 3× 4× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 0× 1× 10× 27× 32× 14× 15× 19× 2× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 0× 1× 10× 11× 27× 6× 20× 27× 27× 3× 4× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 0× 1× 10× 19× 36× 50× 12× 23× 2× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 0× 1× 14× 23× 35× 22× 39× 30× 7× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 0× 1× 10× 19× 36× 26× 26× 52× 20× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 0× 1× 14× 19× 27× 54× 58× 30× 7× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 0× 1× 14× 31× 48× 65× 14× 27× 10× 19× 2× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 0× 1× 14× 19× 27× 54× 26× 27× 3× 0× 36× 39× 3× 4× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 0× 1× 14× 31× 72× 76× 16× 27× 18× 19× 2× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 0× 1× 18× 23× 39× 66× 26× 51× 30× 3× 40× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 0× 1× 14× 31× 56× 60× 33× 82× 15× 31× 2× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 0× 1× 18× 19× 39× 54× 26× 51× 6× 0× 36× 3× 44× 47× 3× 4× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 0× 1× 18× 43× 72× 95× 38× 50× 20× 39× 2× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 0× 1× 18× 27× 47× 54× 26× 51× 6× 0× 36× 43× 87× 6× 4× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 0× 1× 18× 35× 64× 79× 35× 66× 87× 28× 14× 8× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 0× 1× 22× 31× 51× 66× 26× 51× 6× 0× 72× 82× 50× 7× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 0× 1× 18× 35× 76× 115× 86× 71× 47× 33× 6× 8× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 0× 1× 22× 27× 51× 54× 26× 51× 6× 0× 72× 46× 47× 3× 0× 56× 59× 3× 4× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 0× 1× 22× 55× 100× 107× 113× 73× 51× 25× 6× 8× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 0× 1× 22× 27× 51× 54× 86× 114× 9× 4× 72× 46× 47× 3× 0× 56× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 0× 1× 22× 47× 84× 107× 81× 91× 92× 59× 38× 8× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 0× 1× 26× 31× 51× 54× 146× 117× 9× 4× 72× 46× 47× 3× 0× 56× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 0× 1× 22× 47× 84× 139× 180× 75× 55× 33× 22× 43× 2× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 0× 1× 26× 35× 71× 66× 146× 57× 6× 0× 72× 46× 47× 51× 51× 59× 7× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 0× 1× 26× 59× 112× 175× 167× 77× 55× 41× 22× 43× 2× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 0× 1× 26× 35× 63× 54× 146× 57× 6× 0× 72× 46× 47× 51× 3× 56× 3× 0× 0× 72× 75× 3× 4× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 0× 1× 26× 51× 104× 151× 143× 74× 47× 33× 58× 154× 7× 12× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 0× 1× 30× 39× 63× 54× 146× 81× 30× 0× 72× 46× 47× 99× 54× 59× 7× 0× 0× 72× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 0× 1× 26× 59× 128× 183× 210× 79× 55× 41× 74× 82× 4× 4× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 0× 1× 30× 35× 63× 54× 146× 81× 6× 0× 72× 126× 130× 102× 10× 56× 3× 0× 0× 72× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 0× 1× 30× 71× 124× 203× 178× 100× 122× 38× 70× 90× 4× 4× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 0× 1× 30× 35× 63× 54× 146× 81× 90× 87× 75× 130× 50× 99× 6× 56× 3× 0× 0× 72× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 0× 1× 30× 63× 124× 179× 198× 160× 157× 40× 70× 98× 4× 4× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 0× 1× 34× 47× 83× 82× 162× 81× 90× 3× 72× 126× 50× 147× 57× 59× 7× 0× 0× 72× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 0× 1× 30× 63× 124× 179× 198× 120× 117× 37× 62× 90× 48× 139× 5× 12× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 0× 1× 34× 43× 75× 70× 146× 81× 90× 3× 72× 126× 50× 147× 9× 56× 3× 0× 0× 72× 3× 0× 0× 0× 92× 95× 3× 4× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 0× 1× 34× 75× 140× 211× 265× 125× 125× 45× 78× 122× 48× 51× 2× 4× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 0× 1× 34× 43× 87× 82× 146× 81× 90× 3× 72× 126× 50× 147× 9× 56× 3× 0× 0× 72× 3× 0× 84× 87× 95× 7× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 0× 1× 34× 75× 156× 195× 233× 122× 117× 37× 62× 130× 171× 56× 14× 12× 16× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 0× 1× 38× 47× 87× 102× 178× 81× 90× 67× 139× 129× 54× 147× 9× 56× 3× 0× 0× 72× 3× 0× 84× 3× 92× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 0× 1× 34× 75× 140× 195× 233× 146× 189× 136× 67× 138× 99× 53× 6× 12× 16× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 0× 1× 38× 43× 87× 102× 146× 81× 90× 67× 75× 126× 50× 147× 9× 56× 3× 0× 0× 72× 3× 0× 84× 3× 92× 3× 0× 104× 107× 3× 4× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 0× 1× 38× 87× 152× 231× 233× 146× 141× 88× 100× 241× 96× 65× 6× 12× 16× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 0× 1× 38× 51× 95× 102× 166× 101× 90× 67× 75× 126× 50× 147× 9× 56× 3× 0× 0× 72× 3× 80× 167× 6× 96× 3× 0× 104× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 0× 1× 38× 79× 164× 243× 281× 245× 146× 96× 108× 185× 93× 57× 6× 12× 16× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 0× 1× 42× 55× 87× 102× 166× 81× 90× 67× 183× 237× 53× 151× 9× 56× 3× 0× 0× 72× 3× 80× 87× 3× 92× 3× 0× 104× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 0× 1× 38× 79× 164× 219× 257× 197× 143× 88× 100× 169× 93× 57× 6× 68× 187× 5× 12× 8× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 0× 1× 42× 51× 87× 102× 166× 81× 90× 67× 183× 129× 50× 147× 9× 56× 3× 0× 0× 72× 3× 80× 87× 3× 92× 3× 0× 104× 3× 0× 116× 119× 3× 4× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 0× 1× 42× 99× 204× 267× 305× 264× 148× 96× 108× 169× 93× 57× 6× 68× 75× 2× 4× 8× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 0× 1× 42× 51× 87× 102× 166× 81× 90× 67× 183× 129× 50× 147× 9× 56× 3× 0× 0× 72× 3× 80× 87× 3× 92× 3× 0× 104× 3× 0× 116× 123× 123× 3× 4× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 0× 1× 42× 91× 180× 251× 333× 415× 150× 100× 100× 169× 93× 57× 6× 68× 75× 2× 4× 8× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 0× 1× 46× 55× 111× 126× 166× 177× 189× 70× 187× 129× 50× 147× 9× 56× 3× 0× 0× 72× 3× 80× 87× 3× 92× 3× 0× 104× 3× 0× 116× 123× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 0× 1× 42× 91× 180× 251× 333× 295× 172× 153× 150× 233× 157× 57× 6× 68× 75× 2× 4× 8× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 0× 1× 46× 59× 119× 102× 166× 297× 216× 70× 187× 129× 50× 147× 9× 56× 3× 0× 0× 72× 3× 80× 87× 3× 92× 3× 0× 104× 3× 0× 116× 123× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 0× 1× 46× 103× 180× 251× 393× 478× 152× 104× 108× 185× 125× 124× 8× 68× 75× 2× 4× 8× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 0× 1× 46× 59× 111× 102× 166× 297× 96× 67× 183× 129× 50× 147× 9× 56× 3× 0× 0× 72× 3× 80× 87× 3× 92× 3× 0× 104× 3× 0× 116× 123× 3× 0× 132× 135× 3× 4× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 0× 1× 46× 95× 180× 283× 489× 489× 154× 104× 116× 185× 125× 124× 8× 68× 75× 2× 4× 8× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 0× 1× 50× 63× 111× 102× 166× 297× 96× 67× 183× 129× 94× 191× 9× 56× 3× 0× 0× 72× 3× 80× 87× 91× 183× 6× 4× 104× 3× 0× 116× 123× 3× 0× 132× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 0× 1× 46× 103× 216× 319× 425× 425× 151× 96× 108× 185× 125× 172× 155× 73× 87× 2× 4× 8× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 38s: 39s: 0× 1× 50× 59× 111× 102× 166× 297× 96× 67× 183× 129× 94× 147× 9× 56× 3× 0× 0× 72× 3× 80× 87× 91× 95× 3× 0× 104× 3× 0× 116× 123× 3× 0× 132× 3× 140× 143× 3× 4× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 0× 1× 50× 115× 228× 363× 473× 524× 156× 104× 116× 201× 125× 172× 59× 70× 79× 2× 4× 8× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 0× 1× 50× 59× 111× 102× 166× 297× 96× 67× 327× 276× 97× 151× 9× 56× 3× 0× 0× 72× 3× 80× 87× 91× 95× 3× 0× 104× 3× 0× 116× 123× 3× 0× 132× 3× 140× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 0× 1× 50× 107× 220× 323× 449× 476× 153× 96× 108× 185× 125× 172× 59× 70× 79× 2× 4× 80× 219× 5× 12× 8× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 0× 1× 54× 71× 119× 118× 182× 297× 96× 67× 327× 172× 134× 147× 9× 56× 3× 0× 0× 72× 3× 160× 170× 94× 99× 3× 0× 104× 3× 0× 116× 123× 3× 0× 132× 3× 140× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 0× 1× 50× 107× 220× 323× 449× 476× 153× 96× 144× 293× 272× 177× 67× 78× 79× 2× 4× 80× 75× 2× 4× 8× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 0× 1× 54× 67× 123× 130× 186× 317× 96× 67× 327× 172× 94× 147× 9× 56× 3× 0× 0× 72× 3× 160× 90× 91× 95× 3× 0× 104× 3× 0× 116× 243× 126× 3× 136× 3× 140× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 0× 1× 54× 119× 220× 323× 449× 500× 225× 96× 144× 221× 200× 222× 206× 75× 91× 2× 4× 80× 75× 2× 4× 8× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 38s: 39s: 40s: 41s: 42s: 43s: 0× 1× 54× 67× 123× 118× 186× 297× 96× 67× 327× 172× 94× 147× 9× 56× 3× 0× 0× 72× 3× 160× 90× 91× 95× 3× 0× 104× 3× 0× 116× 243× 6× 0× 132× 3× 140× 3× 0× 0× 156× 159× 3× 4× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 0× 1× 54× 119× 244× 355× 513× 631× 182× 104× 152× 237× 232× 222× 110× 72× 83× 2× 4× 80× 75× 2× 4× 8× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 38s: 39s: 40s: 41s: 0× 1× 58× 71× 135× 130× 186× 297× 96× 67× 363× 208× 94× 147× 9× 56× 3× 0× 0× 72× 3× 160× 90× 91× 95× 3× 0× 104× 111× 111× 119× 247× 6× 0× 132× 3× 140× 3× 0× 0× 156× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 0× 1× 54× 119× 228× 339× 481× 567× 179× 96× 144× 301× 443× 227× 122× 80× 99× 2× 4× 80× 75× 2× 4× 8× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 38s: 39s: 40s: 41s: 42s: 43s: 44s: 45s: 0× 1× 58× 67× 135× 118× 186× 297× 96× 67× 363× 172× 94× 147× 9× 56× 3× 0× 0× 72× 3× 160× 90× 91× 95× 3× 0× 104× 111× 3× 116× 243× 6× 0× 132× 3× 140× 3× 0× 0× 156× 3× 164× 167× 3× 4× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 0× 1× 58× 131× 256× 375× 529× 591× 251× 195× 149× 309× 291× 224× 114× 80× 99× 2× 4× 80× 75× 2× 4× 8× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 38s: 39s: 40s: 41s: 42s: 43s: 0× 1× 58× 75× 143× 150× 218× 297× 96× 195× 494× 175× 98× 147× 9× 56× 3× 0× 0× 72× 3× 160× 90× 91× 95× 3× 0× 104× 111× 3× 116× 243× 6× 0× 132× 3× 140× 3× 0× 0× 156× 3× 164× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 0× 1× 58× 123× 248× 351× 505× 591× 287× 402× 151× 313× 283× 224× 114× 80× 99× 2× 4× 80× 75× 2× 4× 8× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 38s: 39s: 40s: 41s: 42s: 43s: 0× 1× 62× 79× 135× 150× 186× 297× 96× 195× 366× 172× 94× 147× 9× 112× 59× 0× 0× 72× 3× 160× 90× 91× 95× 3× 0× 104× 111× 115× 231× 246× 10× 0× 132× 3× 140× 3× 0× 0× 156× 3× 164× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 0× 1× 58× 123× 248× 351× 525× 651× 367× 397× 153× 313× 291× 240× 114× 80× 99× 2× 4× 80× 75× 2× 4× 8× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 38s: 39s: 40s: 41s: 42s: 43s: 0× 1× 62× 75× 135× 150× 186× 297× 96× 195× 366× 172× 270× 326× 12× 116× 3× 0× 0× 72× 3× 160× 90× 91× 95× 3× 0× 104× 111× 115× 119× 243× 6× 0× 132× 3× 140× 3× 0× 0× 156× 3× 164× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 0× 1× 62× 143× 284× 403× 573× 611× 327× 317× 150× 305× 283× 272× 261× 85× 111× 10× 4× 80× 75× 2× 4× 8× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 38s: 39s: 40s: 41s: 42s: 43s: 0× 1× 62× 75× 147× 162× 186× 321× 120× 195× 366× 172× 270× 294× 156× 115× 7× 0× 0× 72× 3× 160× 90× 91× 95× 3× 0× 104× 111× 115× 119× 243× 6× 0× 132× 3× 140× 3× 0× 0× 156× 3× 164× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 0× 1× 62× 135× 268× 379× 541× 611× 327× 317× 150× 305× 327× 404× 344× 87× 111× 18× 4× 80× 75× 2× 4× 8× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 38s: 39s: 40s: 41s: 42s: 43s: 0× 1× 66× 79× 147× 150× 246× 381× 96× 195× 366× 292× 393× 297× 16× 112× 3× 0× 0× 72× 3× 160× 90× 91× 95× 3× 0× 104× 111× 115× 119× 243× 6× 0× 132× 3× 140× 3× 0× 0× 156× 3× 164× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 0× 1× 62× 135× 268× 379× 541× 611× 327× 317× 150× 305× 327× 316× 256× 84× 103× 10× 4× 80× 75× 2× 4× 8× 92× 279× 5× 12× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 38s: 39s: 40s: 41s: 42s: 43s: 0× 1× 66× 83× 155× 150× 246× 321× 96× 195× 402× 328× 273× 294× 12× 112× 3× 0× 0× 72× 3× 160× 90× 91× 95× 3× 0× 104× 111× 115× 119× 243× 6× 0× 132× 3× 140× 147× 147× 3× 160× 3× 164× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 0× 1× 66× 147× 284× 411× 605× 742× 332× 325× 158× 321× 359× 380× 256× 84× 103× 10× 4× 80× 75× 2× 4× 8× 92× 95× 2× 4× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 38s: 39s: 40s: 41s: 42s: 43s: 0× 1× 66× 83× 147× 150× 246× 321× 96× 195× 402× 292× 273× 294× 12× 112× 3× 0× 0× 72× 3× 160× 90× 91× 95× 195× 195× 107× 115× 115× 119× 243× 6× 0× 132× 3× 140× 147× 3× 0× 156× 3× 164× 3× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 0× 1× 66× 139× 288× 431× 573× 678× 329× 317× 150× 305× 327× 316× 256× 84× 103× 10× 4× 80× 75× 2× 88× 263× 97× 107× 10× 20× 32× |