Base 12: Maximum Iteration Sequences: Full Cycle

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789AB

Color Key
OrangeFixed Pointnumber that becomes itself after one iteration
GreenFinal Numbersall numbers eventually reached, from all cycles
PurpleCycle Startiterations include entry into cycle, assuming it repeats
RedFull Cycleiterations include entire cycle, proving it repeats
BlueStart Numberssubset (optimization) of all numbers; minimal for full coverage
GrayNo Resultsany calculation that has no results

Digits Max Steps Max Step Example
Full Cycle
12 max steps100
28 max steps20 → 1A → 834729650BA183
38 max steps100 → 0BB → AB1 → 9B2 → 8B3 → 7B4 → 6B5 → 5B65B6
413 max steps3006 → 6286 → 5BB6 → 6466 → 1BBA → A0A2 → A732 → 8374528761967BB4737541988374
513 max steps10000 → 0BBBB → ABBB1 → A0BA2 → B7B31 → A7B32 → 96B43 → 84B64 → 73B75 → 81B94 → A4B62 → 95B53 → 83B7483B74
629 max steps3000AA → AA2812 → 985533 → 64BB66 → 74BB65 → 760A55 → A20A92 → A86432 → 851964 → 840A74 → A42872 → 862854 → 640A76 → A2BB82 → 991923 → 875544 → 42BB88 → 96BB43 → 872844 → 64287662BB86951963860A54A40A72A82832864654420A98A73742842874642876
733 max steps6000007 → 75BBB55 → 665B556 → 610BAA6 → B93B721 → A95B522 → 983B733 → 864B654 → 740BA75 → B61B951 → AA3B712 → A86B432 → 973B743 → 862B854 → 942B873 → 963B753 → 861B954 → A52B862 → 982B833 → 964B653 → 850BA64 → B62B851 → A92B822 → 986B433 → 863B754841B974A53B762971B943A64B652960BA53B73B741A82B832984B633863B754
848 max steps10000000 → 0BBBBBBB → ABBBBBB1 → A0BBBBA2 → B910AA21 → B9964221 → A7719442 → 97328843 → 75528665 → 6210AA96 → A96BB422 → 99628523 → 7750A645 → A320A982 → A8746432 → 85319864 → 8540A764 → A430A872 → A8528632 → 8650A654 → A410AA72 → A9828322 → 87646544 → 4320A988 → A75376428430A874A54287628630A854A540A762A830A832A85466328520A964A740A742A8328832865466544210AA98A97374228742874464328876652BB866961BB953A8428732865286546410AA76A92BB8229980A323A76465428320A984A7537642
931 max steps100000000 → 0BBBBBBBB → ABBBBBBB1 → A0BBBBBA2 → B910BAA21 → BA97B3211 → AA85B5312 → A872B8432 → 9853B7633 → 8651B9654 → A530BA862 → B872B8431 → A953B7622 → 9861B9533 → A662B8552 → 9830BA833 → B764B6541 → A730BA842 → B873B7431A852B86329852B86339652B86539630BA853B762B8541A941B9722A874B64329742B87439642B87539641B9753A651B9652A840BA732B873B7431
1040 max steps200000002B → 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 → 876528654464310AA876A952BB862299841973238765286544
1146 max steps3000000049A → A942BBB8722 → 99961B95223 → A7763B75442 → 97331B98843 → A6653B76552 → 97210BAA943 → B9864B65321 → A9640BA7522 → B8851B96331 → AA652B86512 → A8830BA8332 → B8754B66431 → A8430BA8732 → B8753B76431 → A8531B98632 → A8652B86532 → 98530BA8633 → B7652B86541 → A9420BA9722 → B8874B64331 → A8542B87632 → 98541B97633 → A6641B97552 → A8520BA9632 → B8862B85331A9552B8662298730BA8433B7653B76541A8320BA9832B8864B65331A8540BA7632B8741B97431AA642B87512A8841B97332A8653B7653297520BA9643B8651B96531AA630BA8512B9872B84321A9753B7642298631B98533A6652B8655298310BAA833B9764B65421A9530BA8622B8862B85331
1238 max steps40000000000B → 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 → A87532886432865530A86654A54110AAA762A99830A83222A87754664432853320A98864A75540A76642A83310AA8832A98554666322875210AA9644A97430A87422A87532886432
1346 max steps300000000599B → B9952BBB86221 → A99942B872222 → 987773B744433 → 865332B888654 → 955430BA87663 → B76420BA97541 → BA8531B986311 → AA9652B865212 → A88730BA84332 → B87553B766431 → A85320BA98632 → B88652B865331 → A95530BA86622 → B88630BA85331BA7552B866411AA8420BA97312B98863B753321A96551B966522A87410BAA7432B98742B874321A97542B876422987431B987433A66542B876552984210BAA9733B98663B755321A96520BA96522B88740BA74331BA7542B876411AA8431B987312A98653B765322986520BA96533B86630BA85531BA7530BA86411BA9741B974211AA9752B864212A88741B974332A86542B876532985420BA97633B86641B975531AA6420BA97512B98851B963321AA7652B865412A88420BA97332B88653B765331A85520BA96632B88630BA85331
1439 max steps100000000003BB → 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 → A987530A864322A875530A866432A855310AA86632A985510AA66322A987510AA64322A987530A864322
1540 max steps500000000000BBB → 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 → AA76541B9765412A985320BA986322B887652B8654331A955420BA976622B887520BA964331BA86541B9765311AA96420BA975212B988751B9643321AA76541B9765412
1638 max steps6000000000066BBB → 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 → A9875310AA864322A9875530A8664322A8755310AA866432A9855310AA866322A9875510AA664322A9875310AA864322
1746 max steps10000000000000015 → 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 → BA876541B97654311AA964320BA9875212B9887641B97543321AA765431B98765412A9864320BA9875322B8876541B97654331AA654320BA9876512B9886420BA9753321BA876541B97654311
1838 max steps20000000000000BBBB → 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 → A98753110AAA864322A99875530A86643222A87755310AA8664432A98553310AA8866322A98755510AA6664322A98753110AAA864322
1953 max steps2000000000000004445 → 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 → BA8776541B976544311AA9643320BA98875212B98876541B976543321AA7654320BA98765412B98864320BA98753321BA8765541B976654311AA9643210BAA9875212B99887641B975433221AA7765431B987654412A98643320BA98875322B88765541B976654331AA6543210BAA9876512B99886420BA97533221BA8776541B976544311
2038 max steps100000000003333344BB → 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 → A987531110AAAA864322A999875530A866432222A877755310AA86644432A985533310AA88866322A987555510AA66664322A987531110AAAA864322
2163 max steps50000000000000007777B → 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 → BA87776541B9765444311AA96433320BA988875212B988765541B9766543321AA76543210BAA98765412B998864320BA987533221BA87765541B9766544311AA96433210BAA98875212B998876541B9765433221AA77654320BA987654412B988643320BA988753321BA87655541B9766654311AA96432110BAAA9875212B999887641B9754332221AA77765431B9876544412A986433320BA988875322B887655541B9766654331AA65432110BAAA9876512B999886420BA975332221BA87776541B9765444311
2242 max steps100000000000345BBBBBBB → 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 → A9999998530A8632222222A8777777550A6644444432A8533333310AA888888632A9855555550A6666666322A8751111110AAAAAAA6432A9999998530A8632222222
2373 max steps6000000000000000000000B → 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 →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
2447 max steps1000000000000345BBBBBBBB → 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 → A99999998530A86322222222A87777777550A66444444432A85333333310AA8888888632A98555555550A66666666322A87511111110AAAAAAAA6432A99999998530A86322222222
2583 max steps500000000000000000077777B → 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 →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
2652 max steps10000000000000345BBBBBBBBB → 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 → A999999998530A863222222222A877777777550A664444444432A853333333310AA88888888632A985555555550A666666666322A875111111110AAAAAAAAA6432A999999998530A863222222222
2793 max steps200000000000000000000444445 → 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 →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
2857 max steps100000000000000345BBBBBBBBBB → 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 → A9999999998530A8632222222222A8777777777550A6644444444432A8533333333310AA888888888632A9855555555550A6666666666322A8751111111110AAAAAAAAAA6432A9999999998530A8632222222222
29107 max steps1000000000000000000001115BBBB → BBBB51110BBBBBBBBBBBAAAA60001 → BBBBAAAA651110BAAAA6511110001 → BBBBA999999950BA6222222210001 → BBBBA987777773B74444443210001 → BBBAA865333332B88888865311001 → BBAA9855555530BA8666666321101 → BBA99865311110BAAAAA865322101 → BBA99999876530BA8654322222101 → BBA98777765420BA9765444432101 → BBA98764333320BA9888875432101 → BBA98765555431B98766665432101 → BAA97654321110BAAAA9876542111 → BA999998764320BA9875432222211 → BA987777765431B98765444443211 → AA976543333320BA9888887654212 → B9887655554320BA9876666543321 → BA876554321110BAAAA9876654311 → BA999986543210BAA987653222211 → BA998777765420BA9765444432211 → BA987764333320BA9888875443211 → BA987655554331B98876666543211 → AA976554321110BAAAA9876654212 → B9999887643210BAA987543322221 → BA987777655431B98766544443211 → AA976543333210BAA988887654212 → B9988765554320BA9876665433221 → BA877655432110BAAA98766544311 → BA999865433210BAA988765322211 → BA998777655420BA9766544432211 → BA987764333210BAA988875443211 → BA998765554331B98876665432211 → AA977655432110BAAA98766544212 → B9998876433210BAA988754332221 → BA987776555431B98766654443211 → AA976543332110BAAA98887654212 → B9998876554320BA9876654332221 → BA877765543210BAA987665444311 → BA998654333210BAA988876532211 → BA998776555420BA9766654432211 → BA987764332110BAAA98875443211 → BA999876554331B98876654322211 → AA977765543210BAA987665444212 → B9988764333210BAA988875433221 → BA987765555431B98766665443211 → AA976543321110BAAAA9887654212 → B9999887654320BA9876543322221 → BA877776554320BA9876654444311 → BA986543333210BAA988887653211 → BA998765555420BA9766665432211 → BA987764321110BAAAA9875443211 → BA999987654331B98876543222211 → AA977776554320BA9876654444212 → B9887643333210BAA988887543321 →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
3062 max steps1000000000000000345BBBBBBBBBBB → 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 → A99999999998530A86322222222222A87777777777550A66444444444432A85333333333310AA8888888888632A98555555555550A66666666666322A87511111111110AAAAAAAAAAA6432A99999999998530A86322222222222
31130 max steps20000000000000000000000555BBBBB → BBBBB5551BBBBBBBBBBBBB966600001 → BBBBAA6665551BBBBB9666555110001 → BBBAAAA665540BBBBBA766551111001 → BBBAAAAA655550BBBA6666511111001 → BBBAAA99955510BBBAA666222111001 → BBBAAA99888443BBB77733322111001 → BBAAAA88766543BBB77655433111101 → BAAAA977744221BBB99977444211111 → AAAA9988755532BBB88666433221112 → AAA88886654331BBB98876553333112 → AAA87765554331BBB98876665443112 → AAA87764442220BBBA9997775443112 → BAA888865543320BA98876653333111 → BA9986555554210BAA9766666532211 → BA9987764211110BAAAAA9754432211 → BA9999987764331B988754432222211 → AA9777776554331B988766544444212 → A98765433333210BAA9888887654322 → B98876555554320BA98766666543321 → BA8765543211110BAAAAA9876654311 → BA9999986543210BAA9876532222211 → BA9987777765420BA97654444432211 → BA9877643333320BA98888875443211 → BA9876555554331B988766666543211 → AA9765543211110BAAAAA9876654212 → B99999887643210BAA9875433222221 → BA9877777655431B987665444443211 → AA9765433333210BAA9888887654212 → B99887655554320BA98766665433221 → BA8776554321110BAAAA98766544311 → BA9999865433210BAA9887653222211 → BA9987777655420BA97665444432211 → BA9877643333210BAA9888875443211 → BA9987655554331B988766665432211 → AA9776554321110BAAAA98766544212 → B99998876433210BAA9887543322221 → BA9877776555431B987666544443211 → AA9765433332110BAAA988887654212 → B99988765554320BA98766654332221 → BA8777655432110BAAA987665444311 → BA9998654333210BAA9888765322211 → BA9987776555420BA97666544432211 → BA9877643332110BAAA988875443211 → BA9998765554331B988766654322211 → AA9777655432110BAAA987665444212 → B99988764333210BAA9888754332221 → BA9877765555431B987666654443211 → AA9765433321110BAAAA98887654212 → B99998876554320BA98766543322221 → BA8777765543210BAA9876654444311 → BA9986543333210BAA9888876532211 → BA9987765555420BA97666654432211 → BA9877643321110BAAAA98875443211 → BA9999876554331B988766543222211 → AA9777765543210BAA9876654444212 → B99887643333210BAA9888875433221 → BA9877655555431B987666665443211 → AA9765433211110BAAAAA9887654212 → B99999887654320BA98765433222221 → BA8777776554320BA98766544444311 → BA9865433333210BAA9888887653211 → BA9987655555420BA97666665432211 → BA9877643211110BAAAAA9875443211 → BA9999987654331B988765432222211 → AA9777776554320BA98766544444212 → B98876433333210BAA9888887543321 →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
3267 max steps10000000000000000345BBBBBBBBBBBB → 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 → A999999999998530A863222222222222A877777777777550A664444444444432A853333333333310AA88888888888632A985555555555550A666666666666322A875111111111110AAAAAAAAAAAA6432A999999999998530A863222222222222
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