| Radix Character Encoding | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |
| G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V |
| 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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Average Steps Full Cycle | 1.95 step avg | 5.66 step avg | 6.29 step avg | 7.11 step avg | 10.09 step avg | 18.77 step avg | 17.52 step avg | 40.81 step avg | 24.86 step avg | 46.42 step avg | 23.98 step avg | 92.83 step avg | 72.52 step avg | 152.39 step avg | 44.46 step avg | 112.78 step avg | 44.19 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 19× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 0× 2× 31× 8× 31× 24× 2× 52× 60× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 0× 1× 129× 108× 214× 206× 194× 178× 158× 134× 106× 74× 38× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 0× 1× 91× 116× 480× 1,920× 848× 1,128× 2,021× 1,158× 634× 458× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 0× 1× 19× 308× 110× 1,540× 2,598× 3,166× 5,374× 6,212× 6,286× 4,578× 2,722× 2,754× 3,110× 2,026× 1,486× 214× | 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× 381× 432× 528× 1,614× 1,968× 3,056× 4,917× 7,265× 6,283× 7,009× 6,774× 10,791× 6,581× 7,008× 5,953× 4,559× 6,317× 7,603× 9,718× 5,817× 7,708× 8,666× 10,481× 11,742× 7,988× 7,294× 7,736× 3,849× 3,392× 1,101× 666× 1,000× 782× 120× | 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× 1,099× 3,706× 9,070× 21,180× 33,316× 35,782× 26,200× 17,908× 6,034× 7,228× 3,570× 3,758× 12,504× 25,048× 31,306× 44,624× 62,428× 66,548× 53,554× 31,928× 11,712× 12,826× 9,502× 16,000× 13,576× 20,876× 17,386× 15,520× 22,620× 12,464× 5,168× 2,408× 950× | 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: 46s: 47s: 48s: 49s: 50s: 51s: 52s: 53s: 54s: 55s: 56s: 57s: 58s: 59s: 60s: 61s: 62s: 63s: 64s: 65s: 66s: 67s: 68s: 69s: 70s: 71s: 72s: 73s: 74s: 75s: 76s: 77s: 78s: 79s: 80s: 81s: 82s: 83s: 84s: 85s: 86s: 87s: 88s: 89s: 90s: 0× 1× 19× 608× 4,572× 4,018× 8,249× 8,462× 11,114× 13,665× 20,680× 24,721× 30,938× 28,524× 30,492× 27,331× 42,625× 43,313× 41,789× 51,019× 52,101× 49,552× 44,967× 37,927× 41,918× 45,746× 38,012× 25,578× 18,039× 17,131× 24,188× 26,326× 39,035× 50,208× 41,757× 45,796× 41,864× 44,534× 46,091× 38,124× 28,670× 27,120× 33,750× 42,076× 49,887× 34,721× 29,929× 21,988× 25,819× 29,107× 45,590× 42,358× 36,853× 38,962× 24,867× 19,250× 20,023× 20,910× 16,638× 12,425× 12,961× 16,657× 24,745× 20,222× 12,905× 7,863× 6,086× 8,244× 17,138× 27,635× 26,404× 28,030× 19,644× 20,241× 20,150× 19,474× 24,249× 22,313× 18,831× 17,867× 20,806× 22,985× 10,473× 3,333× 4,320× 5,791× 4,590× 5,768× 4,014× 3,404× 955× | 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: 46s: 47s: 48s: 49s: 50s: 0× 1× 2,629× 13,890× 49,236× 57,268× 97,954× 73,058× 97,792× 122,562× 186,038× 229,388× 263,534× 324,710× 264,480× 167,626× 144,916× 152,252× 210,412× 298,366× 205,904× 156,764× 102,740× 89,998× 98,890× 133,808× 89,796× 133,490× 103,604× 128,590× 173,382× 262,564× 273,672× 327,704× 275,850× 187,574× 148,600× 137,146× 167,764× 174,570× 151,618× 109,496× 90,494× 132,578× 137,990× 72,922× 23,626× 12,658× 30,770× 14,228× 1,998× | 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: 46s: 47s: 48s: 49s: 50s: 51s: 52s: 53s: 54s: 55s: 56s: 57s: 58s: 59s: 60s: 61s: 62s: 63s: 64s: 65s: 66s: 67s: 68s: 69s: 70s: 71s: 72s: 73s: 74s: 75s: 76s: 77s: 78s: 79s: 80s: 81s: 82s: 83s: 84s: 85s: 86s: 87s: 88s: 89s: 90s: 91s: 92s: 93s: 94s: 95s: 0× 1× 19× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 8,760× 88,223× 244,242× 357,444× 363,062× 309,225× 280,070× 224,402× 252,113× 389,987× 415,967× 575,277× 564,960× 582,555× 515,799× 447,363× 394,994× 365,991× 448,369× 383,287× 382,213× 376,081× 386,855× 426,225× 333,402× 352,846× 414,387× 432,745× 424,121× 341,207× 246,309× 198,304× 228,775× 212,971× 206,814× 196,888× 189,500× 188,755× 187,535× 177,518× 158,583× 210,221× 276,741× 259,602× 327,682× 346,799× 303,707× 269,270× 281,329× 242,279× 234,647× 249,319× 261,675× 322,080× 349,298× 405,154× 288,167× 322,535× 248,045× 190,226× 212,363× 166,638× 164,437× 114,024× 90,299× 72,291× 90,750× 98,039× 96,625× 63,748× 43,356× 57,902× 42,475× 32,153× 11,629× 3,064× 2,411× 414× 3,824× 648× | 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: 46s: 47s: 48s: 49s: 50s: 51s: 52s: 53s: 54s: 55s: 56s: 57s: 58s: 0× 1× 19× 0× 0× 11,760× 87,140× 276,426× 607,800× 914,602× 1,133,670× 1,350,500× 1,411,516× 989,008× 1,261,118× 2,150,798× 2,386,952× 2,556,472× 3,316,528× 3,625,260× 3,135,538× 2,774,268× 2,107,756× 1,762,326× 1,832,558× 2,023,972× 1,615,906× 1,405,540× 1,835,184× 2,009,908× 1,353,274× 979,802× 687,566× 564,502× 490,348× 495,100× 523,364× 268,052× 137,586× 89,568× 100,718× 167,138× 251,638× 438,096× 673,702× 727,072× 821,132× 706,504× 631,944× 441,830× 352,646× 330,642× 317,392× 242,766× 181,780× 67,730× 2,114× 658× 110× | 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: 46s: 47s: 48s: 49s: 50s: 51s: 52s: 53s: 54s: 55s: 56s: 57s: 58s: 59s: 60s: 61s: 62s: 63s: 64s: 65s: 66s: 67s: 68s: 69s: 70s: 71s: 72s: 73s: 74s: 75s: 76s: 77s: 78s: 79s: 80s: 81s: 82s: 83s: 84s: 85s: 86s: 87s: 88s: 89s: 90s: 91s: 92s: 93s: 94s: 95s: 96s: 97s: 98s: 99s: 100s: 101s: 102s: 103s: 104s: 105s: 106s: 107s: 108s: 109s: 110s: 111s: 112s: 113s: 114s: 115s: 116s: 117s: 118s: 119s: 120s: 121s: 122s: 123s: 124s: 125s: 126s: 127s: 128s: 129s: 130s: 131s: 132s: 133s: 134s: 135s: 136s: 137s: 138s: 139s: 140s: 141s: 142s: 143s: 144s: 145s: 146s: 147s: 148s: 149s: 150s: 151s: 152s: 153s: 154s: 155s: 156s: 157s: 158s: 159s: 160s: 161s: 162s: 163s: 164s: 165s: 166s: 167s: 168s: 169s: 170s: 171s: 172s: 0× 1× 129× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 12,192× 180,184× 288,612× 385,688× 396,762× 145,725× 86,460× 100,098× 122,217× 83,631× 91,020× 158,772× 224,949× 918,797× 1,603,854× 1,595,906× 1,708,651× 1,307,982× 1,189,119× 1,264,165× 1,238,124× 1,338,991× 1,473,685× 880,353× 670,442× 661,229× 896,284× 865,661× 1,119,123× 1,218,153× 973,207× 905,978× 708,680× 838,735× 690,252× 659,240× 625,845× 769,318× 852,629× 738,833× 729,858× 686,983× 839,687× 888,387× 1,112,571× 1,434,555× 1,351,661× 1,184,623× 1,090,589× 989,403× 1,130,870× 737,420× 673,973× 808,628× 894,355× 847,944× 887,840× 909,237× 790,222× 849,445× 679,618× 695,780× 789,279× 1,151,274× 1,155,758× 952,762× 842,006× 605,802× 680,888× 610,042× 684,936× 684,015× 604,028× 645,420× 545,470× 475,563× 383,751× 657,793× 939,006× 1,408,739× 1,385,106× 1,373,938× 1,946,837× 1,798,693× 1,886,817× 1,624,594× 1,258,683× 1,126,141× 1,421,591× 1,812,426× 1,832,449× 1,998,380× 1,376,351× 1,696,508× 1,743,936× 1,774,258× 1,677,379× 1,726,923× 1,621,168× 1,445,689× 1,890,755× 1,671,187× 1,194,430× 1,188,143× 1,130,549× 932,379× 1,082,123× 1,027,598× 1,496,841× 1,489,715× 2,058,183× 1,734,885× 2,131,186× 2,454,306× 2,344,863× 1,876,588× 1,811,177× 1,664,953× 1,400,903× 1,391,187× 1,390,156× 1,491,587× 1,214,903× 929,003× 834,730× 689,967× 443,184× 423,241× 503,942× 695,465× 591,012× 505,690× 508,502× 324,962× 236,994× 337,926× 305,376× 231,794× 163,879× 104,347× 89,583× 37,153× 37,534× 19,761× 30,838× 43,964× 70,774× 85,267× 69,076× 47,948× 87,900× 40,418× 10,358× 3,442× 118× 56× | 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: 46s: 47s: 48s: 49s: 50s: 51s: 52s: 53s: 54s: 55s: 56s: 57s: 58s: 59s: 60s: 61s: 62s: 63s: 64s: 65s: 66s: 67s: 68s: 69s: 70s: 71s: 72s: 73s: 74s: 75s: 76s: 77s: 78s: 79s: 80s: 81s: 82s: 83s: 84s: 85s: 86s: 87s: 88s: 89s: 90s: 91s: 92s: 93s: 94s: 95s: 96s: 97s: 98s: 99s: 100s: 101s: 102s: 103s: 104s: 105s: 106s: 107s: 108s: 109s: 110s: 111s: 112s: 113s: 114s: 115s: 0× 1× 19× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 334,720× 3,366,734× 7,733,336× 9,794,428× 11,329,380× 13,949,308× 12,341,594× 10,486,524× 9,404,572× 8,546,468× 9,255,382× 11,564,858× 9,885,310× 9,300,386× 10,301,852× 11,142,854× 11,516,784× 11,599,320× 10,764,426× 12,400,450× 12,599,858× 11,292,712× 9,219,918× 8,022,086× 7,448,200× 5,844,692× 4,388,228× 5,482,838× 4,905,004× 4,602,594× 4,213,744× 4,598,400× 6,148,234× 6,902,974× 7,911,506× 7,597,650× 7,240,684× 5,694,080× 3,461,102× 2,855,270× 1,986,056× 1,445,776× 886,456× 860,334× 1,150,306× 2,284,522× 1,645,796× 769,962× 525,366× 557,874× 647,576× 971,260× 1,564,752× 1,659,002× 1,480,690× 1,351,306× 721,108× 727,272× 269,614× 137,462× 165,682× 106,240× 10,708× | 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: 46s: 47s: 48s: 49s: 50s: 51s: 52s: 53s: 54s: 55s: 56s: 57s: 58s: 59s: 60s: 61s: 62s: 63s: 64s: 65s: 66s: 67s: 68s: 69s: 70s: 71s: 72s: 73s: 74s: 75s: 76s: 77s: 78s: 79s: 80s: 81s: 82s: 83s: 84s: 85s: 86s: 87s: 88s: 89s: 90s: 91s: 92s: 93s: 94s: 95s: 96s: 97s: 98s: 99s: 100s: 101s: 102s: 103s: 104s: 105s: 106s: 107s: 108s: 109s: 110s: 111s: 112s: 113s: 114s: 115s: 116s: 117s: 118s: 119s: 120s: 121s: 122s: 123s: 124s: 125s: 126s: 127s: 128s: 129s: 130s: 131s: 132s: 133s: 134s: 135s: 136s: 137s: 138s: 139s: 140s: 141s: 142s: 143s: 144s: 145s: 146s: 147s: 148s: 149s: 150s: 151s: 152s: 153s: 154s: 155s: 156s: 157s: 158s: 159s: 160s: 161s: 162s: 163s: 164s: 165s: 166s: 167s: 168s: 169s: 170s: 171s: 172s: 173s: 174s: 175s: 176s: 177s: 178s: 179s: 180s: 181s: 182s: 183s: 184s: 185s: 186s: 187s: 188s: 189s: 190s: 191s: 192s: 193s: 194s: 195s: 196s: 197s: 198s: 199s: 200s: 201s: 202s: 203s: 204s: 205s: 206s: 207s: 208s: 209s: 210s: 211s: 212s: 213s: 214s: 215s: 216s: 217s: 218s: 219s: 220s: 221s: 222s: 223s: 224s: 225s: 226s: 227s: 228s: 229s: 230s: 231s: 232s: 233s: 234s: 235s: 236s: 237s: 238s: 239s: 240s: 241s: 242s: 243s: 244s: 245s: 246s: 247s: 248s: 249s: 250s: 251s: 252s: 253s: 254s: 255s: 256s: 257s: 258s: 259s: 260s: 261s: 262s: 263s: 264s: 265s: 266s: 267s: 268s: 269s: 270s: 271s: 272s: 273s: 274s: 275s: 276s: 277s: 278s: 279s: 280s: 281s: 282s: 283s: 284s: 285s: 286s: 287s: 288s: 289s: 290s: 291s: 292s: 293s: 294s: 295s: 296s: 297s: 298s: 299s: 300s: 301s: 302s: 303s: 304s: 305s: 306s: 307s: 0× 1× 9,499× 225,696× 1,137,116× 1,769,385× 1,442,674× 764,999× 282,201× 131,762× 134,415× 172,759× 167,321× 237,181× 1,117,614× 2,569,721× 3,004,128× 3,145,301× 3,524,562× 2,124,674× 1,728,578× 1,671,188× 1,116,259× 1,231,351× 1,373,744× 1,203,094× 1,073,584× 1,620,761× 1,738,189× 1,748,303× 1,397,287× 1,311,234× 1,427,879× 2,080,415× 2,181,025× 1,799,811× 1,806,018× 2,729,164× 2,257,376× 1,551,828× 1,596,034× 1,143,738× 2,701,514× 5,447,106× 6,695,239× 7,801,271× 6,392,670× 5,538,656× 4,806,606× 4,522,340× 4,046,862× 3,976,576× 4,505,247× 5,795,012× 5,111,604× 4,985,338× 5,091,532× 4,057,320× 3,197,835× 3,778,548× 4,139,993× 4,184,985× 3,733,376× 2,284,396× 1,946,517× 2,024,351× 1,272,530× 1,396,378× 1,450,310× 1,916,287× 2,082,542× 2,364,912× 1,766,610× 1,397,067× 1,370,032× 1,637,448× 1,685,345× 1,489,597× 1,411,772× 1,455,751× 1,977,642× 1,938,507× 2,241,839× 1,656,806× 1,009,239× 985,162× 666,205× 706,707× 1,151,958× 1,457,428× 1,319,315× 993,672× 847,713× 867,625× 1,228,120× 1,405,730× 1,149,981× 1,653,705× 1,612,449× 2,161,105× 1,763,816× 2,417,096× 2,293,497× 1,867,167× 1,894,383× 1,824,406× 1,733,748× 2,230,208× 2,046,328× 2,174,216× 2,700,283× 3,787,794× 2,949,320× 3,111,627× 3,448,433× 2,848,072× 2,524,511× 3,806,411× 3,512,975× 3,373,116× 3,581,043× 3,578,057× 3,484,960× 2,799,247× 3,184,878× 3,408,046× 4,557,875× 4,662,109× 3,809,496× 2,454,942× 2,731,686× 2,022,011× 2,360,623× 2,826,547× 2,450,690× 2,600,707× 3,240,012× 3,823,298× 4,303,121× 4,847,253× 4,155,018× 3,293,641× 2,701,436× 2,837,464× 3,253,571× 2,699,252× 1,719,451× 1,444,931× 1,747,069× 2,122,701× 1,808,100× 2,652,099× 2,630,814× 1,807,553× 1,529,225× 2,200,183× 1,942,205× 2,628,838× 3,363,280× 3,964,171× 4,054,077× 3,352,680× 2,361,939× 2,268,894× 2,803,868× 2,911,710× 4,690,905× 4,837,219× 5,329,586× 5,931,956× 6,037,809× 4,124,550× 4,820,878× 4,596,561× 4,893,259× 6,413,425× 8,009,924× 7,011,552× 8,322,423× 9,391,294× 8,276,550× 9,503,887× 7,737,084× 7,528,735× 6,608,950× 7,064,941× 5,760,665× 5,138,200× 5,136,062× 4,256,005× 2,822,556× 2,945,197× 3,510,587× 3,750,966× 4,298,233× 4,627,153× 4,562,655× 4,487,614× 4,285,998× 3,736,154× 4,519,899× 4,081,258× 3,442,173× 3,402,514× 3,055,039× 3,015,472× 2,633,378× 2,536,970× 2,048,020× 2,308,597× 2,574,225× 2,363,263× 1,868,230× 1,997,852× 1,816,407× 1,489,594× 1,767,613× 1,786,674× 2,208,732× 2,913,399× 3,069,216× 2,837,725× 2,143,581× 2,844,506× 3,477,049× 4,178,429× 4,550,106× 5,220,786× 4,358,697× 3,032,093× 3,266,242× 2,905,627× 3,805,743× 4,223,244× 4,721,597× 5,199,777× 4,023,342× 2,616,613× 2,353,080× 2,664,868× 2,413,361× 2,512,759× 2,595,633× 2,530,607× 2,138,063× 2,410,565× 3,356,933× 4,216,481× 5,751,246× 5,939,094× 5,188,214× 4,075,444× 3,171,341× 2,785,583× 2,658,250× 2,955,695× 2,234,854× 1,767,810× 1,386,193× 1,451,844× 1,571,363× 691,067× 599,842× 773,177× 972,467× 718,062× 534,260× 588,399× 529,876× 598,588× 800,593× 740,333× 671,027× 853,344× 873,974× 1,013,416× 1,883,355× 1,701,874× 1,558,209× 1,085,369× 678,109× 645,204× 882,084× 1,241,694× 1,170,947× 1,225,592× 1,189,413× 1,225,768× 841,721× 872,591× 1,295,021× 1,299,195× 1,345,784× 1,689,990× 1,585,389× 971,618× 798,770× 724,798× 571,747× 683,186× 795,246× 655,293× 302,197× 344,923× 101,671× 37,407× 33,632× 2,052× | 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: 46s: 47s: 48s: 49s: 50s: 51s: 52s: 53s: 54s: 55s: 56s: 57s: 58s: 59s: 60s: 61s: 62s: 63s: 64s: 65s: 66s: 67s: 68s: 69s: 70s: 71s: 72s: 73s: 74s: 75s: 76s: 77s: 78s: 79s: 80s: 81s: 0× 1× 129× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 263,680× 4,450,722× 12,252,670× 20,586,782× 30,903,002× 51,144,534× 66,288,368× 81,830,394× 104,290,840× 108,544,804× 98,586,550× 93,680,614× 85,406,768× 77,043,654× 69,573,212× 73,792,432× 77,125,490× 70,559,656× 66,344,840× 57,088,578× 55,689,706× 62,812,208× 59,230,988× 53,511,750× 43,131,000× 33,866,904× 29,779,674× 27,020,750× 22,998,896× 22,979,438× 28,034,418× 25,439,756× 22,045,772× 18,830,698× 17,190,224× 16,969,296× 15,084,794× 11,702,324× 7,168,076× 4,841,214× 4,340,902× 3,090,972× 2,611,900× 2,477,374× 2,116,748× 2,740,378× 4,795,130× 3,641,986× 1,470,916× 481,542× 77,926× 27,806× 7,724× 610× | 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: 46s: 47s: 48s: 49s: 50s: 51s: 52s: 53s: 54s: 55s: 56s: 57s: 58s: 59s: 60s: 61s: 62s: 63s: 64s: 65s: 66s: 67s: 68s: 69s: 70s: 71s: 72s: 73s: 74s: 75s: 76s: 77s: 78s: 79s: 80s: 81s: 82s: 83s: 84s: 85s: 86s: 87s: 88s: 89s: 90s: 91s: 92s: 93s: 94s: 95s: 96s: 97s: 98s: 99s: 100s: 101s: 102s: 103s: 104s: 105s: 106s: 107s: 108s: 109s: 110s: 111s: 112s: 113s: 114s: 115s: 116s: 117s: 118s: 119s: 120s: 121s: 122s: 123s: 124s: 125s: 126s: 127s: 128s: 129s: 130s: 131s: 132s: 133s: 134s: 135s: 136s: 137s: 138s: 139s: 140s: 141s: 142s: 143s: 144s: 145s: 146s: 147s: 148s: 149s: 150s: 151s: 152s: 153s: 154s: 155s: 156s: 157s: 158s: 159s: 160s: 161s: 162s: 163s: 164s: 165s: 166s: 167s: 168s: 169s: 170s: 171s: 172s: 173s: 174s: 175s: 176s: 177s: 178s: 179s: 180s: 181s: 182s: 183s: 184s: 185s: 186s: 187s: 188s: 189s: 190s: 191s: 192s: 193s: 194s: 195s: 196s: 197s: 198s: 199s: 200s: 201s: 202s: 203s: 204s: 205s: 206s: 207s: 208s: 209s: 210s: 211s: 212s: 213s: 214s: 215s: 216s: 217s: 0× 1× 19× 14,240× 210,514× 275,454× 2,418× 16,320× 869,060× 1,897,793× 3,346,718× 7,901,444× 20,607,742× 29,549,155× 24,173,206× 18,810,833× 14,752,636× 15,106,095× 16,795,452× 17,669,566× 20,908,045× 22,095,778× 18,745,132× 17,752,111× 17,699,232× 18,198,148× 17,694,034× 17,166,882× 14,927,936× 12,496,146× 13,544,531× 15,365,929× 15,836,424× 17,491,590× 19,144,619× 16,616,943× 15,956,270× 16,566,593× 18,973,865× 18,722,288× 24,507,417× 25,721,208× 21,548,140× 24,232,490× 24,116,980× 26,038,738× 26,001,196× 22,479,853× 21,186,438× 20,240,815× 18,224,869× 16,788,890× 14,574,610× 11,679,720× 12,702,921× 9,801,869× 8,744,889× 9,921,537× 11,650,960× 12,408,399× 12,383,176× 12,729,059× 10,559,411× 12,662,361× 13,426,794× 12,845,878× 14,043,962× 12,530,161× 11,566,634× 10,475,519× 11,533,107× 10,537,297× 11,372,291× 13,991,654× 14,818,757× 13,449,174× 12,878,509× 12,819,638× 13,534,547× 10,932,168× 11,272,959× 11,656,329× 13,472,446× 17,157,551× 18,685,462× 14,347,349× 11,774,054× 10,708,195× 10,531,559× 12,471,270× 12,513,575× 13,870,771× 13,195,683× 14,806,872× 10,741,329× 12,100,400× 12,492,540× 14,267,182× 18,212,558× 18,253,289× 18,952,821× 25,579,159× 27,045,809× 29,714,413× 29,072,719× 21,306,735× 23,140,454× 25,551,995× 28,362,097× 27,398,275× 34,274,017× 34,205,475× 28,826,556× 28,865,104× 32,072,917× 30,983,329× 30,492,268× 30,545,681× 31,823,882× 33,235,900× 35,593,471× 31,562,987× 28,992,882× 24,681,747× 22,417,738× 19,779,748× 18,385,221× 18,769,447× 16,356,143× 14,354,848× 12,973,091× 12,480,630× 12,246,429× 11,774,562× 9,881,472× 11,515,500× 11,910,333× 12,870,819× 14,061,295× 14,241,992× 33,583,712× 64,342,237× 67,896,821× 75,537,154× 75,412,419× 65,061,103× 60,922,784× 55,872,308× 49,577,927× 39,821,914× 41,301,448× 38,341,542× 40,728,100× 44,875,432× 42,912,589× 46,296,320× 52,716,766× 49,479,411× 39,872,505× 36,392,115× 33,125,097× 30,090,273× 31,587,295× 30,120,659× 32,675,925× 28,498,542× 24,517,353× 19,273,322× 15,606,997× 14,452,246× 13,636,596× 13,418,759× 13,696,120× 11,787,050× 10,099,128× 10,914,435× 12,469,486× 9,524,254× 10,777,924× 16,989,448× 15,802,289× 13,136,597× 12,816,076× 13,033,774× 13,296,922× 19,647,849× 26,431,701× 21,300,777× 19,833,462× 20,123,561× 16,602,756× 18,626,324× 18,034,602× 16,980,381× 13,544,565× 9,211,873× 8,062,604× 8,386,942× 8,301,864× 8,023,136× 6,719,743× 4,322,385× 4,659,809× 3,248,091× 2,266,413× 1,420,873× 885,326× 583,585× 761,273× 255,230× 255,310× 279,530× 174,494× 146,063× 35,075× 32,591× 52,303× 32,753× | 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: 46s: 47s: 48s: 49s: 50s: 51s: 52s: 53s: 54s: 55s: 56s: 57s: 58s: 59s: 60s: 61s: 62s: 63s: 64s: 65s: 66s: 67s: 68s: 69s: 70s: 71s: 72s: 73s: 74s: 75s: 76s: 77s: 78s: 79s: 80s: 81s: 82s: 83s: 84s: 85s: 86s: 87s: 88s: 89s: 90s: 0× 1× 19× 0× 0× 0× 0× 0× 100,224× 2,882,852× 10,384,016× 21,459,598× 38,418,422× 43,222,952× 33,928,352× 39,328,990× 39,593,508× 29,726,040× 27,457,506× 27,393,110× 21,806,220× 19,374,624× 22,361,882× 26,475,818× 31,742,920× 42,674,198× 66,168,140× 89,366,808× 98,245,506× 117,778,834× 126,654,670× 132,665,650× 163,451,876× 187,728,094× 276,358,716× 323,524,472× 308,590,066× 344,915,176× 321,252,816× 292,116,384× 273,415,756× 237,974,394× 249,683,950× 262,305,834× 267,528,386× 265,594,094× 291,598,296× 301,632,926× 294,044,784× 278,800,612× 257,573,562× 229,768,162× 173,145,542× 147,348,942× 141,561,282× 133,017,036× 135,726,430× 118,873,772× 97,830,988× 80,787,546× 69,990,308× 66,373,240× 72,388,484× 73,474,162× 67,638,272× 59,904,686× 51,508,542× 49,185,940× 41,530,022× 33,029,090× 34,148,552× 41,087,806× 51,025,340× 62,814,908× 55,355,680× 43,769,976× 36,087,862× 21,924,430× 19,138,228× 12,503,506× 9,195,712× 11,218,146× 10,699,716× 9,291,460× 7,558,222× 7,366,566× 7,006,754× 5,124,258× 1,501,386× 279,766× 14,826× |