Base 12: Maximum Iteration Sequences: Cycle Start

Blog: The First Pixel: Kaprekar's Constant 6174

Summary
[All Digit Sets]
[Odd Digit Sets]
[Even Digit Sets]
Final Numbers
[Fixed Points]
Cycles Lengths
[All Digit Sets]
[Odd Digit Sets]
[Even Digit Sets]
Iteration Frequencies
[Cycle Start]
[Full Cycle]
Maximum Iteration Sequences
[Cycle Start] — [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [Base 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] [101] [102] [103] [104] [105] [106] [107] [108] [109] [110] [111] [112] [113] [114] [115] [116] [117] [118] [119] [120] [121] [122] [123] [124] [125] [126] [127] [128] [129] [130] [131] [132] [133] [134] [135] [136] [137] [138] [139] [140] [141] [142] [143] [144] [145] [146] [147] [148] [149] [150] [151] [152] [153] [154] [155] [156] [157] [158] [159] [160] [161] [162] [163] [164] [165] [166] [167] [168] [169] [170] [171] [172] [173] [174] [175] [176] [177] [178] [179] [180] [181] [182] [183] [184] [185] [186] [187] [188] [189] [190] [191] [192] [193] [194] [195] [196] [197] [198] [199] [200] [201] [202] [203] [204] [205] [206] [207] [208] [209] [210] [211] [212] [213] [214] [215] [216] [217] [218] [219] [220] [221] [222] [223] [224] [225] [226] [227] [228] [229] [230] [231] [232] [233] [234] [235] [236] [237] [238] [239] [240] [241] [242] [243] [244] [245] [246] [247] [248] [249] [250] [251] [252] [253] [254] [255]
[Full Cycle]
Cycles Sequences
[Maximum Length Cycle Count]
[All Cycle Counts]

Radix Character Encoding
0	1	2	3	4	5	6	7	8	9	A	B

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	Max Steps	Max Step Example Cycle Start
1	1 max steps	1 → 0
2	2 max steps	20 → 1A → 83
3	7 max steps	100 → 0BB → AB1 → 9B2 → 8B3 → 7B4 → 6B5 → 5B6
4	7 max steps	3006 → 6286 → 5BB6 → 6466 → 1BBA → A0A2 → A732 → 8374
5	12 max steps	10000 → 0BBBB → ABBB1 → A0BA2 → B7B31 → A7B32 → 96B43 → 84B64 → 73B75 → 81B94 → A4B62 → 95B53 → 83B74
6	19 max steps	3000AA → AA2812 → 985533 → 64BB66 → 74BB65 → 760A55 → A20A92 → A86432 → 851964 → 840A74 → A42872 → 862854 → 640A76 → A2BB82 → 991923 → 875544 → 42BB88 → 96BB43 → 872844 → 642876
7	24 max steps	6000007 → 75BBB55 → 665B556 → 610BAA6 → B93B721 → A95B522 → 983B733 → 864B654 → 740BA75 → B61B951 → AA3B712 → A86B432 → 973B743 → 862B854 → 942B873 → 963B753 → 861B954 → A52B862 → 982B833 → 964B653 → 850BA64 → B62B851 → A92B822 → 986B433 → 863B754
8	24 max steps	10000000 → 0BBBBBBB → ABBBBBB1 → A0BBBBA2 → B910AA21 → B9964221 → A7719442 → 97328843 → 75528665 → 6210AA96 → A96BB422 → 99628523 → 7750A645 → A320A982 → A8746432 → 85319864 → 8540A764 → A430A872 → A8528632 → 8650A654 → A410AA72 → A9828322 → 87646544 → 4320A988 → A7537642
9	18 max steps	100000000 → 0BBBBBBBB → ABBBBBBB1 → A0BBBBBA2 → B910BAA21 → BA97B3211 → AA85B5312 → A872B8432 → 9853B7633 → 8651B9654 → A530BA862 → B872B8431 → A953B7622 → 9861B9533 → A662B8552 → 9830BA833 → B764B6541 → A730BA842 → B873B7431
10	36 max steps	200000002B → B21BBBB991 → AA92199212 → 9977644423 → 7633198855 → 85520A9664 → A7410AA742 → A983288322 → 8765466544 → 43210AA988 → A975376422 → 87430A8744 → A543288762 → 86530A8654 → A5410AA762 → A9830A8322 → A875466432 → 85320A9864 → A7540A7642 → A8330A8832 → A855466632 → 85210AA964 → A9740A7422 → A873288432 → 8655286654 → 64110AAA76 → A992BB8222 → 99870A4323 → A765286542 → 86310AA854 → A9540A7622 → A8730A8432 → A855286632 → 86510AA654 → A9410AA722 → A987284322 → 8765286544
11	25 max steps	3000000049A → A942BBB8722 → 99961B95223 → A7763B75442 → 97331B98843 → A6653B76552 → 97210BAA943 → B9864B65321 → A9640BA7522 → B8851B96331 → AA652B86512 → A8830BA8332 → B8754B66431 → A8430BA8732 → B8753B76431 → A8531B98632 → A8652B86532 → 98530BA8633 → B7652B86541 → A9420BA9722 → B8874B64331 → A8542B87632 → 98541B97633 → A6641B97552 → A8520BA9632 → B8862B85331
12	27 max steps	40000000000B → B3BBBBBBBB71 → A83BBBBBB732 → 988430A87333 → A65552866652 → 861110AAAA54 → A99940A72222 → A87772844432 → 865332888654 → 655410AA7666 → A9310BBAA822 → BA8870A43311 → B99552866221 → A77610AA5442 → A98330A88322 → A87554666432 → 853210AA9864 → A97540A76422 → A87330A88432 → A85552866632 → 865110AAA654 → A99410AA7222 → A98772844322 → 876532886544 → 654310AA8766 → A9530BBA8622 → B98741974321 → A87532886432
13	21 max steps	100000000004B → B40BBBBBBBA71 → BA740BBBA7411 → BAA762B854111 → AA9841B973212 → A98763B754322 → 986531B986533 → A66530BA86552 → B87310BAA8431 → BA9753B764211 → AA8631B985312 → A98652B865322 → 987530BA86433 → B76541B976541 → AA5320BA98612 → B98862B853321 → A97552B866422 → 987420BA97433 → B86642B875531 → A95420BA97622 → B88751B964331 → AA6541B976512
14	34 max steps	100000000003BB → BB30BBBBBBA801 → BBA830BBA83101 → BBAA76BB441101 → BAAA660A551111 → B999910AA22221 → B9977764444221 → A7733319888442 → 97555328866643 → 7553110AAA8665 → A995210AA96222 → A987770A444322 → A8753328886432 → 8655530A866654 → A541110AAAA762 → A999830A832222 → A8777546644432 → 8533320A988864 → A755540A766642 → A833110AAA8832 → A9985546663222 → 8775210AA96444 → A974330A887422 → A8755328866432 → 8655310AA86654 → A954110AAA7622 → A998730A843222 → A8775528664432 → 8653310AA88654 → A955410AA76622 → A987310AA84322 → A9875528664322 → 8765310AA86544 → A954310AA87622 → A987530A864322
15	32 max steps	500000000000BBB → BBB4BBBBBBB6001 → BBA74BBBBB64101 → BAA7753B7644111 → AA97331B9884212 → A987653B7654322 → 9865320BA986533 → B866530BA865531 → BA75310BAA86411 → BA99741B9742211 → AA97752B8644212 → A887431B9874332 → A865542B8766532 → 9854210BAA97633 → B986641B9755321 → AA76420BA975412 → B988531B9863321 → AA76552B8665412 → A884210BAA97332 → B988653B7653321 → A965520BA966522 → B887410BAA74331 → BA97542B8764211 → AA87431B9874312 → A986542B8765322 → 9875420BA976433 → B866431B9875531 → AA65420BA976512 → B988520BA963321 → BA87652B8654311 → AA85420BA976312 → B988641B9753321 → AA76541B9765412
16	33 max steps	6000000000066BBB → BBB665BBBB555001 → BBA6665BB5555101 → BAA65110AAA65111 → B9999910AA222221 → B997777644444221 → A773333198888442 → 9755553288666643 → 75531110AAAA8665 → A9995210AA962222 → A9877770A4444322 → A875333288886432 → 86555530A8666654 → A5411110AAAAA762 → A9999830A8322222 → A877775466444432 → 85333320A9888864 → A7555540A7666642 → A8331110AAAA8832 → A999855466632222 → 87775210AA964444 → A9743330A8887422 → A875553288666432 → 86553110AAA86654 → A9954110AAA76222 → A9987730A8443222 → A877553288664432 → 86553310AA886654 → A9554110AAA76622 → A9987310AA843222 → A987755286644322 → 87653310AA886544 → A9554310AA876622 → A9875310AA864322
17	38 max steps	10000000000000015 → 510BBBBBBBBBBBAA7 → BA6410BBBBBAA7511 → BAAA7642B87541111 → AA998431B98732212 → A9877653B76544322 → 98653320BA9886533 → B8665530BA8665531 → BA753110BAAA86411 → BA999741B97422211 → AA977752B86444212 → A8874331B98874332 → A8655542B87666532 → 98542110BAAA97633 → B9986641B97553221 → AA776420BA9754412 → B9885331B98863321 → AA765552B86665412 → A8842110BAAA97332 → B9988653B76533221 → A9765520BA9665422 → B8875210BAA964331 → BA986541B97653211 → AA976420BA9754212 → B9887531B98643321 → AA765541B97665412 → A9853210BAA986322 → B9887652B86543321 → A9755420BA9766422 → B8875320BA9864331 → BA865541B97665311 → AA964210BAA975212 → B9988751B96433221 → AA776541B97654412 → A9853320BA9886322 → B8876552B86654331 → A9554210BAA976622 → B9887520BA9643321 → BA876541B97654311
18	33 max steps	20000000000000BBBB → BBBB1BBBBBBBB90001 → BBBAA1BBBBBB911001 → BBAAAA210AA9111101 → BB9999996422222201 → BA7777771944444411 → A98333332888888322 → 876555554666666544 → 432111110AAAAAA988 → A99999753764222222 → 877777430A87444444 → A54333332888888762 → 865555530A86666654 → A54111110AAAAAA762 → A99999830A83222222 → A87777754664444432 → 853333320A98888864 → A75555540A76666642 → A83311110AAAAA8832 → A99998554666322222 → 877775210AA9644444 → A97433330A88887422 → A87555532886666432 → 865531110AAAA86654 → A99954110AAA762222 → A99877730A84443222 → A87755332888664432 → 865553310AA8866654 → A95541110AAAA76622 → A99987310AA8432222 → A98777552866444322 → 876533310AA8886544 → A95554310AA8766622 → A98753110AAA864322
19	40 max steps	2000000000000004445 → 54441BBBBBBBBB97777 → A77764443B777754442 → 973333331B988888843 → A66555553B766666552 → 972111110BAAAAAA943 → B99999864B653222221 → A97777640BA75444422 → B88533331B988886331 → AA6555552B866666512 → A88311110BAAAAA8332 → B99998754B664322221 → A97776430BA87544422 → B88643331B988875331 → AA6555541B976666512 → A98521110BAAAA96322 → B99988762B854332221 → A97775541B976644422 → A87533320BA98886432 → B88655541B976665331 → AA6542110BAAA976512 → B99988520BA96332221 → BA8777652B865444311 → AA8543320BA98876312 → B98865541B976653321 → AA7654210BAA9765412 → B99885320BA98633221 → BA8776552B866544311 → AA8543210BAA9876312 → B99886541B976533221 → AA7765420BA97654412 → B98853320BA98863321 → BA8765552B866654311 → AA8542110BAAA976312 → B99988641B975332221 → AA7776541B976544412 → A98533320BA98886322 → B88765552B866654331 → A95542110BAAA976622 → B99887520BA96433221 → BA8776541B976544311
20	33 max steps	100000000003333344BB → BB44333330A888887701 → BB955555328866666201 → BA76511110AAAAA65411 → B999999310AA82222221 → B9977777746444444221 → A7733333319888888442 → 97555555328866666643 → 7553111110AAAAAA8665 → A999995210AA96222222 → A987777770A444444322 → A8753333328888886432 → 8655555530A866666654 → A541111110AAAAAAA762 → A999999830A832222222 → A8777777546644444432 → 8533333320A988888864 → A755555540A766666642 → A833111110AAAAAA8832 → A9999985546663222222 → 8777775210AA96444444 → A974333330A888887422 → A8755555328866666432 → 8655311110AAAAA86654 → A999954110AAA7622222 → A998777730A844443222 → A8775533328888664432 → 8655553310AA88666654 → A955411110AAAAA76622 → A999987310AA84322222 → A9877775528664444322 → 8765333310AA88886544 → A955554310AA87666622 → A987531110AAAA864322
21	45 max steps	50000000000000007777B → B77774BBBBBBBBB644441 → A777775443B7776444442 → 9733333331B9888888843 → A665555553B7666666552 → 9721111110BAAAAAAA943 → B999999864B6532222221 → A977777640BA754444422 → B885333331B9888886331 → AA65555552B8666666512 → A883111110BAAAAAA8332 → B999998754B6643222221 → A977776430BA875444422 → B886433331B9888875331 → AA65555541B9766666512 → A985211110BAAAAA96322 → B999988762B8543322221 → A977775541B9766444422 → A875333320BA988886432 → B886555541B9766665331 → AA65421110BAAAA976512 → B999988520BA963322221 → BA87777652B8654444311 → AA85433320BA988876312 → B988655541B9766653321 → AA76542110BAAA9765412 → B999885320BA986332221 → BA87776552B8665444311 → AA85433210BAA98876312 → B998865541B9766533221 → AA77654210BAA97654412 → B998853320BA988633221 → BA87765552B8666544311 → AA85432110BAAA9876312 → B999886541B9765332221 → AA77765420BA976544412 → B988533320BA988863321 → BA87655552B8666654311 → AA85421110BAAAA976312 → B999988641B9753322221 → AA77776541B9765444412 → A985333320BA988886322 → B887655552B8666654331 → A955421110BAAAA976622 → B999887520BA964332221 → BA87776541B9765444311
22	37 max steps	100000000000345BBBBBBB → BBBBBBB5430A8760000001 → BBBBBBB9530A8620000001 → BBBBBBB9750A6420000001 → BBBBBBB9730A8420000001 → BBBBBBB975286420000001 → BBBBBBA7630A8541000001 → BBBBBB99530A8622000001 → BBBBBB97750A6442000001 → BBBBBB97330A8842000001 → BBBBBB9755286642000001 → BBBBBA76310AA854100001 → BBBBB999530A8622200001 → BBBBB977750A6444200001 → BBBBB973330A8884200001 → BBBBB97555286664200001 → BBBBA763110AAA85410001 → BBBB9999530A8622220001 → BBBB9777750A6444420001 → BBBB9733330A8888420001 → BBBB975555286666420001 → BBBA7631110AAAA8541001 → BBB99999530A8622222001 → BBB97777750A6444442001 → BBB97333330A8888842001 → BBB9755555286666642001 → BBA76311110AAAAA854101 → BB999999530A8622222201 → BB977777750A6444444201 → BB973333330A8888884201 → BB97555555286666664201 → BA763111110AAAAAA85411 → B9999999530A8622222221 → B9777777750A6444444421 → B9733333330A8888888421 → B975555555286666666421 → A7631111110AAAAAAA8542 → A9999998530A8632222222
23	50 max steps	6000000000000000000000B → B5BBBBBBBBBBBBBBBBBBB51 → A65BBBBBBBBBBBBBBBBB552 → 966650BBBBBBBBBBBA65553 → B8666655551B96666555531 → AA631111110BAAAAAAA8512 → B9999999872B84322222221 → A9777777753B76444444422 → 98633333331B98888888533 → A6655555552B86666666552 → 98311111110BAAAAAAAA833 → B9999999764B65422222221 → A9777777530BA8644444422 → B8864333331B98888875331 → AA655555541B97666666512 → A9852111110BAAAAAA96322 → B9999988762B85433222221 → A9777775541B97664444422 → A8753333320BA9888886432 → B8865555541B97666665331 → AA654211110BAAAAA976512 → B9999988520BA9633222221 → BA877777652B86544444311 → AA854333320BA9888876312 → B9886555541B97666653321 → AA765421110BAAAA9765412 → B9999885320BA9863322221 → BA877776552B86654444311 → AA854333210BAA988876312 → B9988655541B97666533221 → AA776542110BAAA97654412 → B9998853320BA9886332221 → BA877765552B86665444311 → AA854332110BAAA98876312 → B9998865541B97665332221 → AA777654210BAA976544412 → B9988533320BA9888633221 → BA877655552B86666544311 → AA854321110BAAAA9876312 → B9999886541B97653322221 → AA777765420BA9765444412 → B9885333320BA9888863321 → BA876555552B86666654311 → AA854211110BAAAAA976312 → B9999988641B97533222221 → AA777776541B97654444412 → A9853333320BA9888886322 → B8876555552B86666654331 → A9554211110BAAAAA976622 → B9999887520BA9643322221 → BA877776541B97654444311
24	42 max steps	1000000000000345BBBBBBBB → BBBBBBBB5430A87600000001 → BBBBBBBB9530A86200000001 → BBBBBBBB9750A64200000001 → BBBBBBBB9730A84200000001 → BBBBBBBB9752864200000001 → BBBBBBBA7630A85410000001 → BBBBBBB99530A86220000001 → BBBBBBB97750A64420000001 → BBBBBBB97330A88420000001 → BBBBBBB97552866420000001 → BBBBBBA76310AA8541000001 → BBBBBB999530A86222000001 → BBBBBB977750A64442000001 → BBBBBB973330A88842000001 → BBBBBB975552866642000001 → BBBBBA763110AAA854100001 → BBBBB9999530A86222200001 → BBBBB9777750A64444200001 → BBBBB9733330A88884200001 → BBBBB9755552866664200001 → BBBBA7631110AAAA85410001 → BBBB99999530A86222220001 → BBBB97777750A64444420001 → BBBB97333330A88888420001 → BBBB97555552866666420001 → BBBA76311110AAAAA8541001 → BBB999999530A86222222001 → BBB977777750A64444442001 → BBB973333330A88888842001 → BBB975555552866666642001 → BBA763111110AAAAAA854101 → BB9999999530A86222222201 → BB9777777750A64444444201 → BB9733333330A88888884201 → BB9755555552866666664201 → BA7631111110AAAAAAA85411 → B99999999530A86222222221 → B97777777750A64444444421 → B97333333330A88888888421 → B97555555552866666666421 → A76311111110AAAAAAAA8542 → A99999998530A86322222222
25	55 max steps	500000000000000000077777B → B777774BBBBBBBBBBB6444441 → A77777754443B777764444442 → 973333333331B988888888843 → A66555555553B766666666552 → 972111111110BAAAAAAAAA943 → B99999999864B653222222221 → A97777777640BA75444444422 → B88533333331B988888886331 → AA6555555552B866666666512 → A88311111110BAAAAAAAA8332 → B99999998754B664322222221 → A97777776430BA87544444422 → B88643333331B988888875331 → AA6555555541B976666666512 → A98521111110BAAAAAAA96322 → B99999988762B854332222221 → A97777775541B976644444422 → A87533333320BA98888886432 → B88655555541B976666665331 → AA6542111110BAAAAAA976512 → B99999988520BA96332222221 → BA8777777652B865444444311 → AA8543333320BA98888876312 → B98865555541B976666653321 → AA7654211110BAAAAA9765412 → B99999885320BA98633222221 → BA8777776552B866544444311 → AA8543333210BAA9888876312 → B99886555541B976666533221 → AA7765421110BAAAA97654412 → B99998853320BA98863322221 → BA8777765552B866654444311 → AA8543332110BAAA988876312 → B99988655541B976665332221 → AA7776542110BAAA976544412 → B99988533320BA98886332221 → BA8777655552B866665444311 → AA8543321110BAAAA98876312 → B99998865541B976653322221 → AA7777654210BAA9765444412 → B99885333320BA98888633221 → BA8776555552B866666544311 → AA8543211110BAAAAA9876312 → B99999886541B976533222221 → AA7777765420BA97654444412 → B98853333320BA98888863321 → BA8765555552B866666654311 → AA8542111110BAAAAAA976312 → B99999988641B975332222221 → AA7777776541B976544444412 → A98533333320BA98888886322 → B88765555552B866666654331 → A95542111110BAAAAAA976622 → B99999887520BA96433222221 → BA8777776541B976544444311
26	47 max steps	10000000000000345BBBBBBBBB → BBBBBBBBB5430A876000000001 → BBBBBBBBB9530A862000000001 → BBBBBBBBB9750A642000000001 → BBBBBBBBB9730A842000000001 → BBBBBBBBB97528642000000001 → BBBBBBBBA7630A854100000001 → BBBBBBBB99530A862200000001 → BBBBBBBB97750A644200000001 → BBBBBBBB97330A884200000001 → BBBBBBBB975528664200000001 → BBBBBBBA76310AA85410000001 → BBBBBBB999530A862220000001 → BBBBBBB977750A644420000001 → BBBBBBB973330A888420000001 → BBBBBBB9755528666420000001 → BBBBBBA763110AAA8541000001 → BBBBBB9999530A862222000001 → BBBBBB9777750A644442000001 → BBBBBB9733330A888842000001 → BBBBBB97555528666642000001 → BBBBBA7631110AAAA854100001 → BBBBB99999530A862222200001 → BBBBB97777750A644444200001 → BBBBB97333330A888884200001 → BBBBB975555528666664200001 → BBBBA76311110AAAAA85410001 → BBBB999999530A862222220001 → BBBB977777750A644444420001 → BBBB973333330A888888420001 → BBBB9755555528666666420001 → BBBA763111110AAAAAA8541001 → BBB9999999530A862222222001 → BBB9777777750A644444442001 → BBB9733333330A888888842001 → BBB97555555528666666642001 → BBA7631111110AAAAAAA854101 → BB99999999530A862222222201 → BB97777777750A644444444201 → BB97333333330A888888884201 → BB975555555528666666664201 → BA76311111110AAAAAAAA85411 → B999999999530A862222222221 → B977777777750A644444444421 → B973333333330A888888888421 → B9755555555528666666666421 → A763111111110AAAAAAAAA8542 → A999999998530A863222222222
27	60 max steps	200000000000000000000444445 → 5444441BBBBBBBBBBBBB9777777 → A777776444443B7777775444442 → 9733333333331B9888888888843 → A665555555553B7666666666552 → 9721111111110BAAAAAAAAAA943 → B999999999864B6532222222221 → A977777777640BA754444444422 → B885333333331B9888888886331 → AA65555555552B8666666666512 → A883111111110BAAAAAAAAA8332 → B999999998754B6643222222221 → A977777776430BA875444444422 → B886433333331B9888888875331 → AA65555555541B9766666666512 → A985211111110BAAAAAAAA96322 → B999999988762B8543322222221 → A977777775541B9766444444422 → A875333333320BA988888886432 → B886555555541B9766666665331 → AA65421111110BAAAAAAA976512 → B999999988520BA963322222221 → BA87777777652B8654444444311 → AA85433333320BA988888876312 → B988655555541B9766666653321 → AA76542111110BAAAAAA9765412 → B999999885320BA986332222221 → BA87777776552B8665444444311 → AA85433333210BAA98888876312 → B998865555541B9766666533221 → AA77654211110BAAAAA97654412 → B999998853320BA988633222221 → BA87777765552B8666544444311 → AA85433332110BAAA9888876312 → B999886555541B9766665332221 → AA77765421110BAAAA976544412 → B999988533320BA988863322221 → BA87777655552B8666654444311 → AA85433321110BAAAA988876312 → B999988655541B9766653322221 → AA77776542110BAAA9765444412 → B999885333320BA988886332221 → BA87776555552B8666665444311 → AA85433211110BAAAAA98876312 → B999998865541B9766533222221 → AA77777654210BAA97654444412 → B998853333320BA988888633221 → BA87765555552B8666666544311 → AA85432111110BAAAAAA9876312 → B999999886541B9765332222221 → AA77777765420BA976544444412 → B988533333320BA988888863321 → BA87655555552B8666666654311 → AA85421111110BAAAAAAA976312 → B999999988641B9753322222221 → AA77777776541B9765444444412 → A985333333320BA988888886322 → B887655555552B8666666654331 → A955421111110BAAAAAAA976622 → B999999887520BA964332222221 → BA87777776541B9765444444311
28	52 max steps	100000000000000345BBBBBBBBBB → BBBBBBBBBB5430A8760000000001 → BBBBBBBBBB9530A8620000000001 → BBBBBBBBBB9750A6420000000001 → BBBBBBBBBB9730A8420000000001 → BBBBBBBBBB975286420000000001 → BBBBBBBBBA7630A8541000000001 → BBBBBBBBB99530A8622000000001 → BBBBBBBBB97750A6442000000001 → BBBBBBBBB97330A8842000000001 → BBBBBBBBB9755286642000000001 → BBBBBBBBA76310AA854100000001 → BBBBBBBB999530A8622200000001 → BBBBBBBB977750A6444200000001 → BBBBBBBB973330A8884200000001 → BBBBBBBB97555286664200000001 → BBBBBBBA763110AAA85410000001 → BBBBBBB9999530A8622220000001 → BBBBBBB9777750A6444420000001 → BBBBBBB9733330A8888420000001 → BBBBBBB975555286666420000001 → BBBBBBA7631110AAAA8541000001 → BBBBBB99999530A8622222000001 → BBBBBB97777750A6444442000001 → BBBBBB97333330A8888842000001 → BBBBBB9755555286666642000001 → BBBBBA76311110AAAAA854100001 → BBBBB999999530A8622222200001 → BBBBB977777750A6444444200001 → BBBBB973333330A8888884200001 → BBBBB97555555286666664200001 → BBBBA763111110AAAAAA85410001 → BBBB9999999530A8622222220001 → BBBB9777777750A6444444420001 → BBBB9733333330A8888888420001 → BBBB975555555286666666420001 → BBBA7631111110AAAAAAA8541001 → BBB99999999530A8622222222001 → BBB97777777750A6444444442001 → BBB97333333330A8888888842001 → BBB9755555555286666666642001 → BBA76311111110AAAAAAAA854101 → BB999999999530A8622222222201 → BB977777777750A6444444444201 → BB973333333330A8888888884201 → BB97555555555286666666664201 → BA763111111110AAAAAAAAA85411 → B9999999999530A8622222222221 → B9777777777750A6444444444421 → B9733333333330A8888888888421 → B975555555555286666666666421 → A7631111111110AAAAAAAAAA8542 → A9999999998530A8632222222222
29	65 max steps	5000000000000000000000777777B → B7777774BBBBBBBBBBBBB64444441 → A7777777544443B77777644444442 → 97333333333331B98888888888843 → A6655555555553B76666666666552 → 97211111111110BAAAAAAAAAAA943 → B9999999999864B65322222222221 → A9777777777640BA7544444444422 → B8853333333331B98888888886331 → AA655555555552B86666666666512 → A8831111111110BAAAAAAAAAA8332 → B9999999998754B66432222222221 → A9777777776430BA8754444444422 → B8864333333331B98888888875331 → AA655555555541B97666666666512 → A9852111111110BAAAAAAAAA96322 → B9999999988762B85433222222221 → A9777777775541B97664444444422 → A8753333333320BA9888888886432 → B8865555555541B97666666665331 → AA654211111110BAAAAAAAA976512 → B9999999988520BA9633222222221 → BA877777777652B86544444444311 → AA854333333320BA9888888876312 → B9886555555541B97666666653321 → AA765421111110BAAAAAAA9765412 → B9999999885320BA9863322222221 → BA877777776552B86654444444311 → AA854333333210BAA988888876312 → B9988655555541B97666666533221 → AA776542111110BAAAAAA97654412 → B9999998853320BA9886332222221 → BA877777765552B86665444444311 → AA854333332110BAAA98888876312 → B9998865555541B97666665332221 → AA777654211110BAAAAA976544412 → B9999988533320BA9888633222221 → BA877777655552B86666544444311 → AA854333321110BAAAA9888876312 → B9999886555541B97666653322221 → AA777765421110BAAAA9765444412 → B9999885333320BA9888863322221 → BA877776555552B86666654444311 → AA854333211110BAAAAA988876312 → B9999988655541B97666533222221 → AA777776542110BAAA97654444412 → B9998853333320BA9888886332221 → BA877765555552B86666665444311 → AA854332111110BAAAAAA98876312 → B9999998865541B97665332222221 → AA777777654210BAA976544444412 → B9988533333320BA9888888633221 → BA877655555552B86666666544311 → AA854321111110BAAAAAAA9876312 → B9999999886541B97653322222221 → AA777777765420BA9765444444412 → B9885333333320BA9888888863321 → BA876555555552B86666666654311 → AA854211111110BAAAAAAAA976312 → B9999999988641B97533222222221 → AA777777776541B97654444444412 → A9853333333320BA9888888886322 → B8876555555552B86666666654331 → A9554211111110BAAAAAAAA976622 → B9999999887520BA9643322222221 → BA877777776541B97654444444311
30	57 max steps	1000000000000000345BBBBBBBBBBB → BBBBBBBBBBB5430A87600000000001 → BBBBBBBBBBB9530A86200000000001 → BBBBBBBBBBB9750A64200000000001 → BBBBBBBBBBB9730A84200000000001 → BBBBBBBBBBB9752864200000000001 → BBBBBBBBBBA7630A85410000000001 → BBBBBBBBBB99530A86220000000001 → BBBBBBBBBB97750A64420000000001 → BBBBBBBBBB97330A88420000000001 → BBBBBBBBBB97552866420000000001 → BBBBBBBBBA76310AA8541000000001 → BBBBBBBBB999530A86222000000001 → BBBBBBBBB977750A64442000000001 → BBBBBBBBB973330A88842000000001 → BBBBBBBBB975552866642000000001 → BBBBBBBBA763110AAA854100000001 → BBBBBBBB9999530A86222200000001 → BBBBBBBB9777750A64444200000001 → BBBBBBBB9733330A88884200000001 → BBBBBBBB9755552866664200000001 → BBBBBBBA7631110AAAA85410000001 → BBBBBBB99999530A86222220000001 → BBBBBBB97777750A64444420000001 → BBBBBBB97333330A88888420000001 → BBBBBBB97555552866666420000001 → BBBBBBA76311110AAAAA8541000001 → BBBBBB999999530A86222222000001 → BBBBBB977777750A64444442000001 → BBBBBB973333330A88888842000001 → BBBBBB975555552866666642000001 → BBBBBA763111110AAAAAA854100001 → BBBBB9999999530A86222222200001 → BBBBB9777777750A64444444200001 → BBBBB9733333330A88888884200001 → BBBBB9755555552866666664200001 → BBBBA7631111110AAAAAAA85410001 → BBBB99999999530A86222222220001 → BBBB97777777750A64444444420001 → BBBB97333333330A88888888420001 → BBBB97555555552866666666420001 → BBBA76311111110AAAAAAAA8541001 → BBB999999999530A86222222222001 → BBB977777777750A64444444442001 → BBB973333333330A88888888842001 → BBB975555555552866666666642001 → BBA763111111110AAAAAAAAA854101 → BB9999999999530A86222222222201 → BB9777777777750A64444444444201 → BB9733333333330A88888888884201 → BB9755555555552866666666664201 → BA7631111111110AAAAAAAAAA85411 → B99999999999530A86222222222221 → B97777777777750A64444444444421 → B97333333333330A88888888888421 → B97555555555552866666666666421 → A76311111111110AAAAAAAAAAA8542 → A99999999998530A86322222222222
31	70 max steps	2000000000000000000000004444445 → 54444441BBBBBBBBBBBBBBB97777777 → A77777764444443B777777754444442 → 973333333333331B988888888888843 → A66555555555553B766666666666552 → 972111111111110BAAAAAAAAAAAA943 → B99999999999864B653222222222221 → A97777777777640BA75444444444422 → B88533333333331B988888888886331 → AA6555555555552B866666666666512 → A88311111111110BAAAAAAAAAAA8332 → B99999999998754B664322222222221 → A97777777776430BA87544444444422 → B88643333333331B988888888875331 → AA6555555555541B976666666666512 → A98521111111110BAAAAAAAAAA96322 → B99999999988762B854332222222221 → A97777777775541B976644444444422 → A87533333333320BA98888888886432 → B88655555555541B976666666665331 → AA6542111111110BAAAAAAAAA976512 → B99999999988520BA96332222222221 → BA8777777777652B865444444444311 → AA8543333333320BA98888888876312 → B98865555555541B976666666653321 → AA7654211111110BAAAAAAAA9765412 → B99999999885320BA98633222222221 → BA8777777776552B866544444444311 → AA8543333333210BAA9888888876312 → B99886555555541B976666666533221 → AA7765421111110BAAAAAAA97654412 → B99999998853320BA98863322222221 → BA8777777765552B866654444444311 → AA8543333332110BAAA988888876312 → B99988655555541B976666665332221 → AA7776542111110BAAAAAA976544412 → B99999988533320BA98886332222221 → BA8777777655552B866665444444311 → AA8543333321110BAAAA98888876312 → B99998865555541B976666653322221 → AA7777654211110BAAAAA9765444412 → B99999885333320BA98888633222221 → BA8777776555552B866666544444311 → AA8543333211110BAAAAA9888876312 → B99999886555541B976666533222221 → AA7777765421110BAAAA97654444412 → B99998853333320BA98888863322221 → BA8777765555552B866666654444311 → AA8543332111110BAAAAAA988876312 → B99999988655541B976665332222221 → AA7777776542110BAAA976544444412 → B99988533333320BA98888886332221 → BA8777655555552B866666665444311 → AA8543321111110BAAAAAAA98876312 → B99999998865541B976653322222221 → AA7777777654210BAA9765444444412 → B99885333333320BA98888888633221 → BA8776555555552B866666666544311 → AA8543211111110BAAAAAAAA9876312 → B99999999886541B976533222222221 → AA7777777765420BA97654444444412 → B98853333333320BA98888888863321 → BA8765555555552B866666666654311 → AA8542111111110BAAAAAAAAA976312 → B99999999988641B975332222222221 → AA7777777776541B976544444444412 → A98533333333320BA98888888886322 → B88765555555552B866666666654331 → A95542111111110BAAAAAAAAA976622 → B99999999887520BA96433222222221 → BA8777777776541B976544444444311
32	62 max steps	10000000000000000345BBBBBBBBBBBB → BBBBBBBBBBBB5430A876000000000001 → BBBBBBBBBBBB9530A862000000000001 → BBBBBBBBBBBB9750A642000000000001 → BBBBBBBBBBBB9730A842000000000001 → BBBBBBBBBBBB97528642000000000001 → BBBBBBBBBBBA7630A854100000000001 → BBBBBBBBBBB99530A862200000000001 → BBBBBBBBBBB97750A644200000000001 → BBBBBBBBBBB97330A884200000000001 → BBBBBBBBBBB975528664200000000001 → BBBBBBBBBBA76310AA85410000000001 → BBBBBBBBBB999530A862220000000001 → BBBBBBBBBB977750A644420000000001 → BBBBBBBBBB973330A888420000000001 → BBBBBBBBBB9755528666420000000001 → BBBBBBBBBA763110AAA8541000000001 → BBBBBBBBB9999530A862222000000001 → BBBBBBBBB9777750A644442000000001 → BBBBBBBBB9733330A888842000000001 → BBBBBBBBB97555528666642000000001 → BBBBBBBBA7631110AAAA854100000001 → BBBBBBBB99999530A862222200000001 → BBBBBBBB97777750A644444200000001 → BBBBBBBB97333330A888884200000001 → BBBBBBBB975555528666664200000001 → BBBBBBBA76311110AAAAA85410000001 → BBBBBBB999999530A862222220000001 → BBBBBBB977777750A644444420000001 → BBBBBBB973333330A888888420000001 → BBBBBBB9755555528666666420000001 → BBBBBBA763111110AAAAAA8541000001 → BBBBBB9999999530A862222222000001 → BBBBBB9777777750A644444442000001 → BBBBBB9733333330A888888842000001 → BBBBBB97555555528666666642000001 → BBBBBA7631111110AAAAAAA854100001 → BBBBB99999999530A862222222200001 → BBBBB97777777750A644444444200001 → BBBBB97333333330A888888884200001 → BBBBB975555555528666666664200001 → BBBBA76311111110AAAAAAAA85410001 → BBBB999999999530A862222222220001 → BBBB977777777750A644444444420001 → BBBB973333333330A888888888420001 → BBBB9755555555528666666666420001 → BBBA763111111110AAAAAAAAA8541001 → BBB9999999999530A862222222222001 → BBB9777777777750A644444444442001 → BBB9733333333330A888888888842001 → BBB97555555555528666666666642001 → BBA7631111111110AAAAAAAAAA854101 → BB99999999999530A862222222222201 → BB97777777777750A644444444444201 → BB97333333333330A888888888884201 → BB975555555555528666666666664201 → BA76311111111110AAAAAAAAAAA85411 → B999999999999530A862222222222221 → B977777777777750A644444444444421 → B973333333333330A888888888888421 → B9755555555555528666666666666421 → A763111111111110AAAAAAAAAAAA8542 → A999999999998530A863222222222222
33	75 max steps	50000000000000000000000007777777B → B77777774BBBBBBBBBBBBBBB644444441 → A777777775444443B7777776444444442 → 9733333333333331B9888888888888843 → A665555555555553B7666666666666552 → 9721111111111110BAAAAAAAAAAAAA943 → B999999999999864B6532222222222221 → A977777777777640BA754444444444422 → B885333333333331B9888888888886331 → AA65555555555552B8666666666666512 → A883111111111110BAAAAAAAAAAAA8332 → B999999999998754B6643222222222221 → A977777777776430BA875444444444422 → B886433333333331B9888888888875331 → AA65555555555541B9766666666666512 → A985211111111110BAAAAAAAAAAA96322 → B999999999988762B8543322222222221 → A977777777775541B9766444444444422 → A875333333333320BA988888888886432 → B886555555555541B9766666666665331 → AA65421111111110BAAAAAAAAAA976512 → B999999999988520BA963322222222221 → BA87777777777652B8654444444444311 → AA85433333333320BA988888888876312 → B988655555555541B9766666666653321 → AA76542111111110BAAAAAAAAA9765412 → B999999999885320BA986332222222221 → BA87777777776552B8665444444444311 → AA85433333333210BAA98888888876312 → B998865555555541B9766666666533221 → AA77654211111110BAAAAAAAA97654412 → B999999998853320BA988633222222221 → BA87777777765552B8666544444444311 → AA85433333332110BAAA9888888876312 → B999886555555541B9766666665332221 → AA77765421111110BAAAAAAA976544412 → B999999988533320BA988863322222221 → BA87777777655552B8666654444444311 → AA85433333321110BAAAA988888876312 → B999988655555541B9766666653322221 → AA77776542111110BAAAAAA9765444412 → B999999885333320BA988886332222221 → BA87777776555552B8666665444444311 → AA85433333211110BAAAAA98888876312 → B999998865555541B9766666533222221 → AA77777654211110BAAAAA97654444412 → B999998853333320BA988888633222221 → BA87777765555552B8666666544444311 → AA85433332111110BAAAAAA9888876312 → B999999886555541B9766665332222221 → AA77777765421110BAAAA976544444412 → B999988533333320BA988888863322221 → BA87777655555552B8666666654444311 → AA85433321111110BAAAAAAA988876312 → B999999988655541B9766653322222221 → AA77777776542110BAAA9765444444412 → B999885333333320BA988888886332221 → BA87776555555552B8666666665444311 → AA85433211111110BAAAAAAAA98876312 → B999999998865541B9766533222222221 → AA77777777654210BAA97654444444412 → B998853333333320BA988888888633221 → BA87765555555552B8666666666544311 → AA85432111111110BAAAAAAAAA9876312 → B999999999886541B9765332222222221 → AA77777777765420BA976544444444412 → B988533333333320BA988888888863321 → BA87655555555552B8666666666654311 → AA85421111111110BAAAAAAAAAA976312 → B999999999988641B9753322222222221 → AA77777777776541B9765444444444412 → A985333333333320BA988888888886322 → B887655555555552B8666666666654331 → A955421111111110BAAAAAAAAAA976622 → B999999999887520BA964332222222221 → BA87777777776541B9765444444444311