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Update README

master
Daniel Walton 2 years ago
parent
commit
d1be05f2e8
3 changed files with 26 additions and 6 deletions
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      README.md
  2. +7
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      utils/test_cubes.json
  3. +7
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      utils/test_cubes.json.small

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README.md View File

@@ -1,13 +1,19 @@
# rubiks-cube-NxNxN-solver

## Overview
This is a rubiks cube solver that can solve any size cube, I have tested
up to 17x17x17. Here are some stats to give you a rough idea of how many
moves it will take to solve your cube.

* 2x2x2 works
* 3x3x3 works via the kociemba solver
* 4x4x4 works, average solution is 65 moves
* 5x5x5 works, average solution is 119 moves
* 6x6x6 works, average solution is 214 moves
* 7x7x7 works, average solution is 304 moves
* NxNxN works, average solution increases with cube size
* 3x3x3 average solution is 20 moves
* 4x4x4 average solution is 65 moves
* 5x5x5 average solution is 129 moves
* 6x6x6 average solution is 231 moves
* 7x7x7 average solution is 329 moves
* 8x8x8 average solution is 510 moves
* 9x9x9 average solution is 652 moves
* 10x10x10 average solution is 895 moves

All cubes 4x4x4 and larger follow the same basic approach:
* Solve centers

+ 7
- 0
utils/test_cubes.json View File

@@ -314,6 +314,13 @@
"FURFDFLLBLBBULRFBBUFBDURURBUBDBUDRRULRLRLUBUFLDLLDFUFUFRBRLFRDBLBBFRFFBLDLLRBUDBUDDBUDLRRFURDUULBBRLBDLLUDLDBBBLFRBDUDLLRFULRDUFULRURDLFLBUDRLFFDURULLBDFUBFUDUUBBBDBBDRURDUBLURRDFBBRURRRUUBDFDBRURFBFFLFUUBLBLFBRDFRFFFDRBULFDUDRLUFLRBFDRDRRDFFBBLDBUURDUURRBFRRBBLDDUBFLRBRLDFFUULBLDBDBLFLBRFFDDBRDLUBBDRLBFULBBBFRFLFBBUDBFBLBRUBUUFFRRFBFBDLBRRULURLRRDFFLBURBFUDUBURLRLFLUDBUDFLUFFBRBLUFLFDDLRFLBFDFUDLRDUBBDULURUUFFRLDULRBFFLDBLRLFFRDDLURUDBUUBRLDRBRFUDFUDUULDULBFFLRFBLFUBRFBBBBRLDFFDLRFDLURLLDRURDBDDLUFBULDLBFDFFUFUURFFFDRRDBDLFBULFUDLFDDBUBDDFLFRLRUDBFUFLLDBFBFFDDDLDLRLBURLFDDBFFFLBRUFRLDBFUFLFDUBLFRRFFUDFFBBUBBBFRRURDRDLBRBFLURULDUDLBFDLBDRUFLDDFDLLUURRDRDURFLDBDUDFBULLDBDDDURURLDUBRRDDLDLRBBDDLLUUFFRULLLFBFFBDBBBULDRLDRUBFLLLRDLRRBDFRRRRDDBDRFFRDRFFURLFDBBULDUBRULDUFLUDRLULFURUURUDRRRUUFDULLUBFRRLRFDUUDLUUDLDDBDDFDDRLFULLDRFBUFRFRFRRFBDUURBFULRBLLBUFFULBRLDRFBFBLRFFLFRRUUDBRFUBDRLRBBLDURDBLRRDUUDDRRLBRDUBRBDDFULLRRFUBLUUBFBRLRBBLUFUDLBLLFDLULBFDRBUDRRRFLBBUFLULDFBDULLFUDUURUFBFRRFDRFUFDLBDLDLBFBLLBUB",
"FFUDLBDRURUFUDBDFBUDUUDDDDFLRRLURBLRDBDDBDDULRFRFBRULFBFULFUBUFDDLDUFFLRDBULLFLDRUFFUFBDDUFDDLFRLBRLLUFDDDLULDLRDLRFLBDFRDUDDRUFBRDDBUULRFBRDFUBLBFLRUDURLFRDUBBRFURBURLURBFDBLLDRRRBBRBRBBLUBRFUBLDUBUDRFRFRDDLLFLFLRDLLRLRDBBRUBFLRRLURFRBDBBRUUURDUUDDLBULRBBULFDRRDFUFULLDUDURUULURDBLRLBRLLLBLUFDBLDBFDBFBFDRRBFFRFLRFDDDLRRURULRULBFUFLDDBRRRBRLUUFBULUDFBUULFBRLDRBFUULFLFBFFRLFULURBLUBFBFDDUBFFBFRRRFDBRBLLDLFDULBRLRBFURUFLBFBDDUBFLRBDDFRBDLDRULUFDLBBFLFBBBFBUURLBRFULRDFLULURDULDDRLLLDRULURLLFRBBDRFLRBRRRBFBLBFRUBRFFDLDUBFUDBFDLLLRDRLULURLBRFBURFUDFURBFRUBRRRDRULBURLDLDFDBFDBURFLUFULFDBBLDDDUUBBRRDUFUDFLDUDFBFFDDDDLUBUUDBLFLBRBUBRFLBLLDBLDURLRRFRLRDRLURLFFLDRRFFRFLBBLURRBDFDRLFFBULBDFLBLULFRBBFDDBURDFRBFDDBLUULBFBFDDDLBDLBBLDRDRUBDRRFUFUUBFRFBDBFBBDFBLFUFRLFFRLLRRFLUFFLDBDBUBFRLBFURLBDRLDUURBBRRLRRFURUUBRDBUBDUUBDFDDUFRRDLBFFFURBUUFBDRBUUDLULBLDRDFBRLLUDDULBLFULRLDBFLDBFUUBDBFRFFRBDBLDBFDFLRDLUFDRBRRUDBLULUDRRULFDLBLFFRLUBDUUBFULUULDUDDFRFUDBFRFFRBLFBDLDUFLDDFLUBFUUBUFLUFLDFBFRDBUBULURBFUDBLUDFDUURBUUFRFL"
],
"13x13x13": [
"FDBFFLDLBFRRRBBUBBBRRULBFLFLRRRBDUFUBRUBULRDLUDUUUUDUFDRRRDDRRUBRDRRBBFFRRDLLBRUFLDDUUURFDLFLFFLULBBLRDRBFDFUFLBFBBULLBRBFRRFFUUBFLUDRBFBDBDDDDFDLUBRRUURLDULBBUUFBFLFRRUFBBDDDULBRBBFRLBUUBBBLRFRUDRUUURRUBBDUFFURFLLBFLLUDFLUDDUUUDURFFLDULURLUDDFDRLDUUUDBRDRDULRBFFRDRRRFBFBBBDBFLFLRFUFRFDLLDRFFDBFFLDFLRDLDFFDDBFLDRRDRDRBLRRUDBDFBDULDDBFULBULBRDUUFDBULRRULBDRFRRRBDLDLLDURRLUUBRLFFLLRRURBFULDLLLBLRDDDFRURFRLLUFLBRFFBDLDFBLFRLBRDLRDRLFFBRLUURRBLUUFRUBRFDLLUFRRDDRBFDDDLLDFDFLDLLDBDULRDRFLDLLULDBUFFBRRFLDLFFRBRDUUFUBBULLDRLDLFRFULDUFFUFRBLLLBFURRLRUBBBBLDULLFDBULFDUBUUUUBBUUFFRLFDLUDLBLFUUFLDDFLBUBUBUDUBUDBFDBBFRDBLUURRBUDRRFLBLRDURDBLRUFBBUBBULFLUDBULRRDURFDRLFFLBDFUFUFBBLBDRRRFFDLUBDUULFLRRUBLDBFUBLULBRDDFRRLFDFBFFDBLDDDUBUFFRBLFRLDUFULFUDLBFLUFURUUBLLFFULRBDFLBUFBLBUDBFLBDDRDRDBLFUBBRBRLDRFDRBFBRRLRUDFLUULUBFFRULLBFBFBDDFBFURDRURFFLUFRFRDUDRLDFDDLRFLLDFDDFBBDBBBDRUUDRRBLBLDBBUDDULUFBULBRUUBUFFDLULRFLRFFDRUFBBDDLURUFUUDRBFRDLFRRDBRLLBDDULLLDULLBRBFDRRFDBLBULBBBURFFDUFULDBRBBFFBFRBLFDLDRRBDUFDDULLBRRURDBU",
"BBBLRBLULULBLUDBUBUBFRDFBRDDRDRLDFUFRDDLBBRLRLFBUDBDBRDURUBUBFUDUDFLLRRBBFRLDUDDRLRUULBUDBLURULLBRBRRFUBLFDLFRLBRBLDBRUBRRDDFRLDBLFLLLFRUFBFLRDFLULBBRFRLBLUDBLFUUFUFBFUFUBBFLDDFBBRFUUBFLLDRURBLURULFLRDDDBRUDLRLUDBDFRUUBDBFLDFULRBFFUFFFFDUUFLDLURUBFLRRLDRBDDUFDBUUUULBFRDBLDDDLLDLRRRRDDRBBDDUFDDRBDRLRFUUUBBDDFBLFFFDFLLBRLRDRLUFUFLBUDBULRRBRFDRFRRDUUBRFDRRBLBLUUBUFBBFRRFLRRUBURBDLRLUUDFLBLUUUDFLBRLDBLURFRLBBURRRFFDRRRFRBDFFFBFFLDUUDURLDDRUDUDUBBLLULBRLFRDDUFUFBBDBRFRUBUFRDFLLFDFFUFRRBRFFLFDBLBLDBFBBDDLDDLDURUURDLLDBRFDDUBDRUDFDURDLFBUDUUBLRDLBDLBBFFUDLURFLBLBRUDULLUFUULUBLDLULFURBURFUBURDRLFRDBLFRRDLUFBUFFRUFFDDBDBDLBBRURBDLRDBRBLRLDRDFFRLBDLLDBLULFBBLLFDURUDRBRLDFFBLFBFRLLDDBRLDUDDLFDFURLUUFLBLLRBBFUDBRRDUFRDBBDRBLULFLFRFUUDLDBDUURRLDDULUBDRRLFLLLUDLUBLLFFLDULBBLRUUDDBULFBRLURFFUFDBLFRBLFBLFRDURFRLRFURDRBBUFULLRFUDBRDLLUFRFDFFRUBFRRBBRBDDFBRULDURLUDFBDBFURUUULUUDLDBLBLUDDRUDUFRBBRUFLRFFUFFDBFLFUDFDLRRFBFUDFBFRRLFLBBFFBFDRFDBFBBDDDFUFBUBBFBUFBUDFFDLRUBURLBFULUFLDFULRBFLLDFURRFDURRDDLBURLBBDRRBDRURFFUFL",
"UDULFFFUDBFUDBUFRLUFDFLBDUFLRFBFLURFRRDUBLBRBFDRFDLDFFURFFBDDLRDULLDFFDUDDBDFFLBLRFUULURRDDDRBDRFFFLLUUDFFLULDBBBFFRDFFDUFFBUDRDRUDDLUFRURRLFBBBDDBRDULBDRURDBURLFDUDURLBDFLBLRBUFRFFRDLUDFRFBDDRFDBLFLUFBRRUFFFULRDLLBLDUULUULFUUBBBDDLRBRUFRBLRRRFLRULRRDRLRBUFFFULFRFDFLBFDURBBRFLRLFRRUURRFRRUDULBBLURBDUBBLDFFDFDRURDFBBFBBRUUBBRRRDBRDBUDDUDLLRBFRFBLFDDRRBDUUBBLFUDLFDFDLBFRLBLUURDLDURULUDBFBFURBBUFDLUDFURFRDBRFBRURDLUFUFLULFFLFBUUDDRUUURBRUFLDULLULLLDLLUBDUBBRBBUBFRRFRFRLRLBDBLBBRLFFDUFBDDLDFLDUFLFFRBRRUULUBRBRDDUUBLLUFLBBBBUUFUFURBLLRDDRFFLFDLBBULBBRRFUBULLBBLDDLFFFBBDDRLLDBBFDFRLLBFLLFRRDFBDUDLLFULBLUBURBBUFDBBRFLLRBFDLDRRDLUDRULBFLBDLBDBRDDDLBBBRBLBBDUBURRLBDRDFDRULRUULFDRRRBBLRLRUFUULRDBLUDDLFURDBBUUUBRRBBBLRLRRDUBULRFFUURRLFLUDFUUBDURRDRDUDFLUDBFDDFBLDDBLBURRLLLURURRFFBBUFFFBUBBFBLRLLBFLBUUUFDRRLLUUDRDDURRFULUFFLRLDFUBDLLLUFDFLFUDFDRFFLLRLRLUUFFLRLLFFBRDUDRBRDUUFFBBLUBFFUBDFDRDBDRDLDBRUDLULDRBFRRLLRLLDLBLRLUFFRLULDDBDRUDRRLDUDURUDUFDDBDBRLFURUBBBLLRBULFLRFDFFUFLBDDDUBBDUUUDRFUBDFRLLFDRFBBBDBFDBLBFBU",
"BLFULLLBLLFRLUUBLDDFFDDLFLBDRFDDUUBBBUBDULBBBURDBRDFULFDLRFFLFLLLBLBLRRBLBDRUFFDBDURUURLFRLRURLFUDDLRLLRBFDLRBDUFURLBBDUBLBRUUFLRRDLBRBLDUFDDRDUFULDUBBUDDLRBRDFUUDRURBLDFBFFUFBLBDRUULULULBFLDFLBURFFBLLLUUDLLDRBURUUDRDBLFRDLDFDFLLLRDDDDFDLURFLDULLUFBLLBRRDDBDLUDURRDUFUFUDBRFDLLFFLRULFBRFULDUUFFLDBRRBURRRDUBRDLDFBFBBFDRURFFRRRBBBLURDLUFFDDURRRFRUFDUBRLBBBBLLRURLLFDURRFFRRURRRUFLULBDLFURLRBDFFLBDBBUBRLFFURFFFFBURFRFDBDFRBFRBRDLDUBUFRFRRUBFFFBFUUDDLFLDBRLLLDDFBFRDRFFUFDBDFDRUBFBBDRLDDBUUFBRDRDDDUBBRRBDRDDUBLLDRDFDRBRLFBURBFDRBDUFFRBFFRBDLBUBDUDLULRFUBUBDULLFRDRBDBRRFRUDLDFDDFBDLDLLBBFURFLDFRRUBULRBLLLUUDBFRLBBBDDDLBFBRUULBDUBDUBDUBFRUFLDLFLLUFDBRRUFLRLDLLRRDDUFLFFULURFRBFRRRBFUUDLLLFRUBFBURUUULURUFLFBLURRRFUULFBLULFDDFFFDLRBDLRRFRRBRUBBDRFBRDDBBFFRDLFLDLLUUFFDLLBDLLBDBBFBRRDRFRBUDUFFLUUBFRFULBLRLURDLRDFBLBBBUURUFLDFRDURFFDBDLFLURDRBLDUDLBDLUUDFBDBLFUBDBRRFRFFURDBFBLBDRBLDFFFRUDRUFRURRLLLUFBURUFUUDUFDFFBULLFLDLDDDRBDFUFLBBUDRUBBDBBBBULLDURFUBUDURRUBBLFBDUUFRUBFRLUDUUBUDLBBFUBUUBFDRBLBFFRULRULLULDLULRDBDF",
"LDFLBRUDBRFFURRULBFDFRBUBRLBUFFBLRBDDDRUDFLBBBDRRRFRRLBLUURDFBBLFFRBLLUUDFFBLRDDLLLLULDUDBBLDFRBUFBLDUBRDDDLDLBURDFRLUUBLUUBRRLRBRLLRBDDFDUDRDDFRLRRBRBBLFLFRFFDBDLBLDDRBDRRDBFRDLFUDLLBFDFRDUURURLDRULUFRFBDBRBBDLDUDRUBUBDRULUFBRDBLLFFFUUFDDLDRBLURBFUBUURRDBBDFDFBRFFRLLFRFURRDDRBFLUBFFRRUBLBUDFRLFLLUBUURBLLDBUDLRBBFFULFDRBUDBBBRDFFLUURUFRDUUFLLBUUFLBRBBLLBUBBDRULUUBLBRRURRDDDBRUUUDULRUDULLFURUFDFURFBDBFRDUUUFLDLFRFUBDLBRFBBFRFDDRRURDLLRRRLLDLFDUDFBURLBUFRLFLBDBBRBDLDDRRDLLLLLDDLFFFRBFULFFLLLLLFBBLUDLLRBUBDDDUBBBDFBRRDFBUUURUFULFUBLLUDLFULBFRFLLLBBFBRBBFUBFFFDLLRFRDUFUFFUFBBBFFFBFDFLUDUDDDLRBBUBBBLBFBRRFDRLFUDRFUULDBRDLLRRLLBDDFUBFDFRFFULFLBULDRDDFBBDRFLUDDUFUBUFBRDFBRFUDUUBURBBRBDRFUULDRDFLUFRLDUFFRLRBFLLLBFRLDULBRFDDDBUDFDRLDURUUURLUFDLUUFFLLDLURRDRFRLBRLULRRBUURBUDDBBDLDURFBLDRDDDDLUDRFBLUDURRLLBFBUFRRUFDFDBLFUFFDUFURURLLFLUDDLLRDLBUFLLFRFFUDDDRBDDRRLDLRLBRURUBBFRUULLURBLBUFFRDFFRBBFBRBUFFUDRLURRRRBBBBFURFRDULLDBDLRBUFURUFUUFULBFDBLULBBBLFDFRDRLRDBRFFRFUFBDDUDFDBUFUBFLLDBBRLURULDLLDBFUUFDFLURDUDFUBD"
],
"14x14x14": [
"FBDRLBLRRURRLDRBDLBURDFDDDRBLBBFBRDLLFDUBLFRLDFUUBFRDBFBBBULFRLBUFLBDDDLLDRBFLLBBLFBFFDFBFDDFRRRBDRRBRBDUFDRLRUDLDFDDURFLBUBBUUDLBRRDUDRDBBBLDBRBBBUFLBLRUURBDDLDRLUFFBLFRLDFBRFLDLBULFFBRLDBDDFLLRFLUBFDFBRLRLFDBLBURLBLFRFBLLDULUDURLBUUULLRRLUBDDLURLLRFURFRFRBDDUBLDFBLUDRLRDRRBLFUFRDUFFRULBLRBBRUFDBUBBBBLDBRBLDDRRFDDBFFUUBRBLFUBBRFUURBFDRLURLRBFUUFUBRUDRBDFBBFURFLFFDRDFUFFULFLUBDFUFFDLRRFRUDUDLBBBDLLLDUFUDRFDBLRRFFLRUFDRFURDLRRDRDLFBRLRLULRFBDLFDRLFRDDFLLDBFBUBBRLLDLFURFRFULUBLUBFLFFBFDFBDUUBURUUUBFUBDLLFLUUUFDUDLUUULDLLUDDBUFRDRULRLLULRULFBLUDFURFLFUBDLLFLFUBUUBBUFLUDUBRDBLFFUUUFDRLRULUDDRLRBLRUUFBRRRRULBDLFBFLDLRDFUBLUBRDDFUULFLDLUBFURRURUBDFFFDLRFFLBRFRDRUDUULURULLDFRBUDRDLFUFULDBLUBFRFBURDLLUUFDURLRDBLFFRFDBFURLFUBLUUUFFRULUBURRURFDDBFUFRBURBBDRFUDDFDLRUURFBBDBDRLUBRRBFDFRDFDLRDUFFUBRRBDBBLDLFDUDDRLFRRRBUUUBRFUFBUFFBRRDRDDBBDRUULDRFRFBUFLFFBLRBFLLLRUDFDRUDLDRLFRLUFLUBRDUFDDLLUDDRBUBBBDRDBBFRBDDRRLRRUUBBUDUDBLDBDFLFRFUBFLFDBBLRLULDBRFBRRLUUURDFFFDBLDUDBRFDDFFUBLUUURBBULFUFUDFBRDLLFURBULULBUDLUFFBDRBRRDBUUULFDURRDFDDLUDBDRBFBUFLULURUFDRFRFBBFBBBDRLBLUDLDRDLLDRRLLDLFBRBRLDUFBDDUDBLDFRFBBBDRDRDDLDRULFFLLFLBLDFLURLBUDFBDLRBLFDFLUDDFUBUBLURBBBLFRLFLBDDBURFFBFRRL",
"DFLDUUDBUFFDDLULRRLFBRBRRLBLRBUBFDLUBBFDDDUBRBBFRBBBRBBBBDFUBFRBFUDUULRFUDBRRBUBUUULUULUDDLFDRLURLLDRBRURLULFDDRUBDFLFBFBBUUULFDBLLFRDULLDUDFRBLBFRDBLFDDDRDFLBFDDUUUULDDFDLDDBBBFURDFRFLUUBBRLDLRLUBDFFLBUDFUDLBBRLUDDULBDFBBBBDFFDUDBFRDFRFULURFDRUUURLRFUULUUFLDFRRBRBUDLBLBUBRDRUBFRLFRBFBDFBUDDUBLLBRFLLRLUDRRRDUURRRDBLRRFLULLLLBUUBDLFFRDLULUUDUURULBLLRFUFFLRRLFLRRRURBBLDLDURFBULUBRLDLFFFDBLFFFRUBBDLDDLBBURDRLRBRFRRBRDUFBRLRRULBDRBLBLDFFDRBFFLDDFUBLLDRRLFLUDURRFLFBRLLBLUFDBDBUBFDFDDUURBRUDFDDLLLDFURLURURFBDUDFULFDLRFRFLLLBRLDDDBRFRRUFFBFLRURDUULFBBDRDFBRDBUFURFUBFDUFLFBFRLLUBDBFBDDDBRLBBFRRRULRRBDBFUFBDUBDLRFFULULRDUBFBBDRURLDDDDLUFBLRBBBLURBFRDDULUBRDUBUBBULRFRBDDRLUBFRFBFURRFFDFDFFFFDLRBUDRLBUULDDFFLLLLBDRDFLLFFDBUUURLLFULRDFLBLLFUUBRBLFRRFDUFFFDDBULLDRUFLDRBUBDDDBUBRFULRFBLDRRBRLBBFFLLURUUDUFBDRUDBFLDRFFDUDLULURBRUDRUDBRBRUBLBDDRRDBFFLLBFBRUFBUUFRDDFRDBBFBDDDUDDRUBUUDLLRFUUBDDFDFDLBDDFRFFBULFRLUUBFDDLFDDULRUBLDFDBFFDFDUUBDLDFFFLLULBLRBFBDFDBUFUFUFRBURDLFFLBRBRRRULFBUDBRLUFUBRLRULBRULLDLRLUURBRFFUFLFRFURLULDDFLLRDUULLLULDUBFUURUFLURBDUBDBLDRFDUBFLLLLRLLRRBBURBRBRBDBRDBRLBDURFULBDLLRFFDBRFDLLFRDDUDFBBFLUFBDBDRDFBFLFUULFURURLRFFRBRBFRDURRULFBRFLDFBRFURUBLRFRFULL",

+ 7
- 0
utils/test_cubes.json.small View File

@@ -314,6 +314,13 @@
"FURFDFLLBLBBULRFBBUFBDURURBUBDBUDRRULRLRLUBUFLDLLDFUFUFRBRLFRDBLBBFRFFBLDLLRBUDBUDDBUDLRRFURDUULBBRLBDLLUDLDBBBLFRBDUDLLRFULRDUFULRURDLFLBUDRLFFDURULLBDFUBFUDUUBBBDBBDRURDUBLURRDFBBRURRRUUBDFDBRURFBFFLFUUBLBLFBRDFRFFFDRBULFDUDRLUFLRBFDRDRRDFFBBLDBUURDUURRBFRRBBLDDUBFLRBRLDFFUULBLDBDBLFLBRFFDDBRDLUBBDRLBFULBBBFRFLFBBUDBFBLBRUBUUFFRRFBFBDLBRRULURLRRDFFLBURBFUDUBURLRLFLUDBUDFLUFFBRBLUFLFDDLRFLBFDFUDLRDUBBDULURUUFFRLDULRBFFLDBLRLFFRDDLURUDBUUBRLDRBRFUDFUDUULDULBFFLRFBLFUBRFBBBBRLDFFDLRFDLURLLDRURDBDDLUFBULDLBFDFFUFUURFFFDRRDBDLFBULFUDLFDDBUBDDFLFRLRUDBFUFLLDBFBFFDDDLDLRLBURLFDDBFFFLBRUFRLDBFUFLFDUBLFRRFFUDFFBBUBBBFRRURDRDLBRBFLURULDUDLBFDLBDRUFLDDFDLLUURRDRDURFLDBDUDFBULLDBDDDURURLDUBRRDDLDLRBBDDLLUUFFRULLLFBFFBDBBBULDRLDRUBFLLLRDLRRBDFRRRRDDBDRFFRDRFFURLFDBBULDUBRULDUFLUDRLULFURUURUDRRRUUFDULLUBFRRLRFDUUDLUUDLDDBDDFDDRLFULLDRFBUFRFRFRRFBDUURBFULRBLLBUFFULBRLDRFBFBLRFFLFRRUUDBRFUBDRLRBBLDURDBLRRDUUDDRRLBRDUBRBDDFULLRRFUBLUUBFBRLRBBLUFUDLBLLFDLULBFDRBUDRRRFLBBUFLULDFBDULLFUDUURUFBFRRFDRFUFDLBDLDLBFBLLBUB",
"FFUDLBDRURUFUDBDFBUDUUDDDDFLRRLURBLRDBDDBDDULRFRFBRULFBFULFUBUFDDLDUFFLRDBULLFLDRUFFUFBDDUFDDLFRLBRLLUFDDDLULDLRDLRFLBDFRDUDDRUFBRDDBUULRFBRDFUBLBFLRUDURLFRDUBBRFURBURLURBFDBLLDRRRBBRBRBBLUBRFUBLDUBUDRFRFRDDLLFLFLRDLLRLRDBBRUBFLRRLURFRBDBBRUUURDUUDDLBULRBBULFDRRDFUFULLDUDURUULURDBLRLBRLLLBLUFDBLDBFDBFBFDRRBFFRFLRFDDDLRRURULRULBFUFLDDBRRRBRLUUFBULUDFBUULFBRLDRBFUULFLFBFFRLFULURBLUBFBFDDUBFFBFRRRFDBRBLLDLFDULBRLRBFURUFLBFBDDUBFLRBDDFRBDLDRULUFDLBBFLFBBBFBUURLBRFULRDFLULURDULDDRLLLDRULURLLFRBBDRFLRBRRRBFBLBFRUBRFFDLDUBFUDBFDLLLRDRLULURLBRFBURFUDFURBFRUBRRRDRULBURLDLDFDBFDBURFLUFULFDBBLDDDUUBBRRDUFUDFLDUDFBFFDDDDLUBUUDBLFLBRBUBRFLBLLDBLDURLRRFRLRDRLURLFFLDRRFFRFLBBLURRBDFDRLFFBULBDFLBLULFRBBFDDBURDFRBFDDBLUULBFBFDDDLBDLBBLDRDRUBDRRFUFUUBFRFBDBFBBDFBLFUFRLFFRLLRRFLUFFLDBDBUBFRLBFURLBDRLDUURBBRRLRRFURUUBRDBUBDUUBDFDDUFRRDLBFFFURBUUFBDRBUUDLULBLDRDFBRLLUDDULBLFULRLDBFLDBFUUBDBFRFFRBDBLDBFDFLRDLUFDRBRRUDBLULUDRRULFDLBLFFRLUBDUUBFULUULDUDDFRFUDBFRFFRBLFBDLDUFLDDFLUBFUUBUFLUFLDFBFRDBUBULURBFUDBLUDFDUURBUUFRFL"
],
"13x13x13": [
"FDBFFLDLBFRRRBBUBBBRRULBFLFLRRRBDUFUBRUBULRDLUDUUUUDUFDRRRDDRRUBRDRRBBFFRRDLLBRUFLDDUUURFDLFLFFLULBBLRDRBFDFUFLBFBBULLBRBFRRFFUUBFLUDRBFBDBDDDDFDLUBRRUURLDULBBUUFBFLFRRUFBBDDDULBRBBFRLBUUBBBLRFRUDRUUURRUBBDUFFURFLLBFLLUDFLUDDUUUDURFFLDULURLUDDFDRLDUUUDBRDRDULRBFFRDRRRFBFBBBDBFLFLRFUFRFDLLDRFFDBFFLDFLRDLDFFDDBFLDRRDRDRBLRRUDBDFBDULDDBFULBULBRDUUFDBULRRULBDRFRRRBDLDLLDURRLUUBRLFFLLRRURBFULDLLLBLRDDDFRURFRLLUFLBRFFBDLDFBLFRLBRDLRDRLFFBRLUURRBLUUFRUBRFDLLUFRRDDRBFDDDLLDFDFLDLLDBDULRDRFLDLLULDBUFFBRRFLDLFFRBRDUUFUBBULLDRLDLFRFULDUFFUFRBLLLBFURRLRUBBBBLDULLFDBULFDUBUUUUBBUUFFRLFDLUDLBLFUUFLDDFLBUBUBUDUBUDBFDBBFRDBLUURRBUDRRFLBLRDURDBLRUFBBUBBULFLUDBULRRDURFDRLFFLBDFUFUFBBLBDRRRFFDLUBDUULFLRRUBLDBFUBLULBRDDFRRLFDFBFFDBLDDDUBUFFRBLFRLDUFULFUDLBFLUFURUUBLLFFULRBDFLBUFBLBUDBFLBDDRDRDBLFUBBRBRLDRFDRBFBRRLRUDFLUULUBFFRULLBFBFBDDFBFURDRURFFLUFRFRDUDRLDFDDLRFLLDFDDFBBDBBBDRUUDRRBLBLDBBUDDULUFBULBRUUBUFFDLULRFLRFFDRUFBBDDLURUFUUDRBFRDLFRRDBRLLBDDULLLDULLBRBFDRRFDBLBULBBBURFFDUFULDBRBBFFBFRBLFDLDRRBDUFDDULLBRRURDBU",
"BBBLRBLULULBLUDBUBUBFRDFBRDDRDRLDFUFRDDLBBRLRLFBUDBDBRDURUBUBFUDUDFLLRRBBFRLDUDDRLRUULBUDBLURULLBRBRRFUBLFDLFRLBRBLDBRUBRRDDFRLDBLFLLLFRUFBFLRDFLULBBRFRLBLUDBLFUUFUFBFUFUBBFLDDFBBRFUUBFLLDRURBLURULFLRDDDBRUDLRLUDBDFRUUBDBFLDFULRBFFUFFFFDUUFLDLURUBFLRRLDRBDDUFDBUUUULBFRDBLDDDLLDLRRRRDDRBBDDUFDDRBDRLRFUUUBBDDFBLFFFDFLLBRLRDRLUFUFLBUDBULRRBRFDRFRRDUUBRFDRRBLBLUUBUFBBFRRFLRRUBURBDLRLUUDFLBLUUUDFLBRLDBLURFRLBBURRRFFDRRRFRBDFFFBFFLDUUDURLDDRUDUDUBBLLULBRLFRDDUFUFBBDBRFRUBUFRDFLLFDFFUFRRBRFFLFDBLBLDBFBBDDLDDLDURUURDLLDBRFDDUBDRUDFDURDLFBUDUUBLRDLBDLBBFFUDLURFLBLBRUDULLUFUULUBLDLULFURBURFUBURDRLFRDBLFRRDLUFBUFFRUFFDDBDBDLBBRURBDLRDBRBLRLDRDFFRLBDLLDBLULFBBLLFDURUDRBRLDFFBLFBFRLLDDBRLDUDDLFDFURLUUFLBLLRBBFUDBRRDUFRDBBDRBLULFLFRFUUDLDBDUURRLDDULUBDRRLFLLLUDLUBLLFFLDULBBLRUUDDBULFBRLURFFUFDBLFRBLFBLFRDURFRLRFURDRBBUFULLRFUDBRDLLUFRFDFFRUBFRRBBRBDDFBRULDURLUDFBDBFURUUULUUDLDBLBLUDDRUDUFRBBRUFLRFFUFFDBFLFUDFDLRRFBFUDFBFRRLFLBBFFBFDRFDBFBBDDDFUFBUBBFBUFBUDFFDLRUBURLBFULUFLDFULRBFLLDFURRFDURRDDLBURLBBDRRBDRURFFUFL",
"UDULFFFUDBFUDBUFRLUFDFLBDUFLRFBFLURFRRDUBLBRBFDRFDLDFFURFFBDDLRDULLDFFDUDDBDFFLBLRFUULURRDDDRBDRFFFLLUUDFFLULDBBBFFRDFFDUFFBUDRDRUDDLUFRURRLFBBBDDBRDULBDRURDBURLFDUDURLBDFLBLRBUFRFFRDLUDFRFBDDRFDBLFLUFBRRUFFFULRDLLBLDUULUULFUUBBBDDLRBRUFRBLRRRFLRULRRDRLRBUFFFULFRFDFLBFDURBBRFLRLFRRUURRFRRUDULBBLURBDUBBLDFFDFDRURDFBBFBBRUUBBRRRDBRDBUDDUDLLRBFRFBLFDDRRBDUUBBLFUDLFDFDLBFRLBLUURDLDURULUDBFBFURBBUFDLUDFURFRDBRFBRURDLUFUFLULFFLFBUUDDRUUURBRUFLDULLULLLDLLUBDUBBRBBUBFRRFRFRLRLBDBLBBRLFFDUFBDDLDFLDUFLFFRBRRUULUBRBRDDUUBLLUFLBBBBUUFUFURBLLRDDRFFLFDLBBULBBRRFUBULLBBLDDLFFFBBDDRLLDBBFDFRLLBFLLFRRDFBDUDLLFULBLUBURBBUFDBBRFLLRBFDLDRRDLUDRULBFLBDLBDBRDDDLBBBRBLBBDUBURRLBDRDFDRULRUULFDRRRBBLRLRUFUULRDBLUDDLFURDBBUUUBRRBBBLRLRRDUBULRFFUURRLFLUDFUUBDURRDRDUDFLUDBFDDFBLDDBLBURRLLLURURRFFBBUFFFBUBBFBLRLLBFLBUUUFDRRLLUUDRDDURRFULUFFLRLDFUBDLLLUFDFLFUDFDRFFLLRLRLUUFFLRLLFFBRDUDRBRDUUFFBBLUBFFUBDFDRDBDRDLDBRUDLULDRBFRRLLRLLDLBLRLUFFRLULDDBDRUDRRLDUDURUDUFDDBDBRLFURUBBBLLRBULFLRFDFFUFLBDDDUBBDUUUDRFUBDFRLLFDRFBBBDBFDBLBFBU",
"BLFULLLBLLFRLUUBLDDFFDDLFLBDRFDDUUBBBUBDULBBBURDBRDFULFDLRFFLFLLLBLBLRRBLBDRUFFDBDURUURLFRLRURLFUDDLRLLRBFDLRBDUFURLBBDUBLBRUUFLRRDLBRBLDUFDDRDUFULDUBBUDDLRBRDFUUDRURBLDFBFFUFBLBDRUULULULBFLDFLBURFFBLLLUUDLLDRBURUUDRDBLFRDLDFDFLLLRDDDDFDLURFLDULLUFBLLBRRDDBDLUDURRDUFUFUDBRFDLLFFLRULFBRFULDUUFFLDBRRBURRRDUBRDLDFBFBBFDRURFFRRRBBBLURDLUFFDDURRRFRUFDUBRLBBBBLLRURLLFDURRFFRRURRRUFLULBDLFURLRBDFFLBDBBUBRLFFURFFFFBURFRFDBDFRBFRBRDLDUBUFRFRRUBFFFBFUUDDLFLDBRLLLDDFBFRDRFFUFDBDFDRUBFBBDRLDDBUUFBRDRDDDUBBRRBDRDDUBLLDRDFDRBRLFBURBFDRBDUFFRBFFRBDLBUBDUDLULRFUBUBDULLFRDRBDBRRFRUDLDFDDFBDLDLLBBFURFLDFRRUBULRBLLLUUDBFRLBBBDDDLBFBRUULBDUBDUBDUBFRUFLDLFLLUFDBRRUFLRLDLLRRDDUFLFFULURFRBFRRRBFUUDLLLFRUBFBURUUULURUFLFBLURRRFUULFBLULFDDFFFDLRBDLRRFRRBRUBBDRFBRDDBBFFRDLFLDLLUUFFDLLBDLLBDBBFBRRDRFRBUDUFFLUUBFRFULBLRLURDLRDFBLBBBUURUFLDFRDURFFDBDLFLURDRBLDUDLBDLUUDFBDBLFUBDBRRFRFFURDBFBLBDRBLDFFFRUDRUFRURRLLLUFBURUFUUDUFDFFBULLFLDLDDDRBDFUFLBBUDRUBBDBBBBULLDURFUBUDURRUBBLFBDUUFRUBFRLUDUUBUDLBBFUBUUBFDRBLBFFRULRULLULDLULRDBDF",
"LDFLBRUDBRFFURRULBFDFRBUBRLBUFFBLRBDDDRUDFLBBBDRRRFRRLBLUURDFBBLFFRBLLUUDFFBLRDDLLLLULDUDBBLDFRBUFBLDUBRDDDLDLBURDFRLUUBLUUBRRLRBRLLRBDDFDUDRDDFRLRRBRBBLFLFRFFDBDLBLDDRBDRRDBFRDLFUDLLBFDFRDUURURLDRULUFRFBDBRBBDLDUDRUBUBDRULUFBRDBLLFFFUUFDDLDRBLURBFUBUURRDBBDFDFBRFFRLLFRFURRDDRBFLUBFFRRUBLBUDFRLFLLUBUURBLLDBUDLRBBFFULFDRBUDBBBRDFFLUURUFRDUUFLLBUUFLBRBBLLBUBBDRULUUBLBRRURRDDDBRUUUDULRUDULLFURUFDFURFBDBFRDUUUFLDLFRFUBDLBRFBBFRFDDRRURDLLRRRLLDLFDUDFBURLBUFRLFLBDBBRBDLDDRRDLLLLLDDLFFFRBFULFFLLLLLFBBLUDLLRBUBDDDUBBBDFBRRDFBUUURUFULFUBLLUDLFULBFRFLLLBBFBRBBFUBFFFDLLRFRDUFUFFUFBBBFFFBFDFLUDUDDDLRBBUBBBLBFBRRFDRLFUDRFUULDBRDLLRRLLBDDFUBFDFRFFULFLBULDRDDFBBDRFLUDDUFUBUFBRDFBRFUDUUBURBBRBDRFUULDRDFLUFRLDUFFRLRBFLLLBFRLDULBRFDDDBUDFDRLDURUUURLUFDLUUFFLLDLURRDRFRLBRLULRRBUURBUDDBBDLDURFBLDRDDDDLUDRFBLUDURRLLBFBUFRRUFDFDBLFUFFDUFURURLLFLUDDLLRDLBUFLLFRFFUDDDRBDDRRLDLRLBRURUBBFRUULLURBLBUFFRDFFRBBFBRBUFFUDRLURRRRBBBBFURFRDULLDBDLRBUFURUFUUFULBFDBLULBBBLFDFRDRLRDBRFFRFUFBDDUDFDBUFUBFLLDBBRLURULDLLDBFUUFDFLURDUDFUBD"
],
"14x14x14": [
"FBDRLBLRRURRLDRBDLBURDFDDDRBLBBFBRDLLFDUBLFRLDFUUBFRDBFBBBULFRLBUFLBDDDLLDRBFLLBBLFBFFDFBFDDFRRRBDRRBRBDUFDRLRUDLDFDDURFLBUBBUUDLBRRDUDRDBBBLDBRBBBUFLBLRUURBDDLDRLUFFBLFRLDFBRFLDLBULFFBRLDBDDFLLRFLUBFDFBRLRLFDBLBURLBLFRFBLLDULUDURLBUUULLRRLUBDDLURLLRFURFRFRBDDUBLDFBLUDRLRDRRBLFUFRDUFFRULBLRBBRUFDBUBBBBLDBRBLDDRRFDDBFFUUBRBLFUBBRFUURBFDRLURLRBFUUFUBRUDRBDFBBFURFLFFDRDFUFFULFLUBDFUFFDLRRFRUDUDLBBBDLLLDUFUDRFDBLRRFFLRUFDRFURDLRRDRDLFBRLRLULRFBDLFDRLFRDDFLLDBFBUBBRLLDLFURFRFULUBLUBFLFFBFDFBDUUBURUUUBFUBDLLFLUUUFDUDLUUULDLLUDDBUFRDRULRLLULRULFBLUDFURFLFUBDLLFLFUBUUBBUFLUDUBRDBLFFUUUFDRLRULUDDRLRBLRUUFBRRRRULBDLFBFLDLRDFUBLUBRDDFUULFLDLUBFURRURUBDFFFDLRFFLBRFRDRUDUULURULLDFRBUDRDLFUFULDBLUBFRFBURDLLUUFDURLRDBLFFRFDBFURLFUBLUUUFFRULUBURRURFDDBFUFRBURBBDRFUDDFDLRUURFBBDBDRLUBRRBFDFRDFDLRDUFFUBRRBDBBLDLFDUDDRLFRRRBUUUBRFUFBUFFBRRDRDDBBDRUULDRFRFBUFLFFBLRBFLLLRUDFDRUDLDRLFRLUFLUBRDUFDDLLUDDRBUBBBDRDBBFRBDDRRLRRUUBBUDUDBLDBDFLFRFUBFLFDBBLRLULDBRFBRRLUUURDFFFDBLDUDBRFDDFFUBLUUURBBULFUFUDFBRDLLFURBULULBUDLUFFBDRBRRDBUUULFDURRDFDDLUDBDRBFBUFLULURUFDRFRFBBFBBBDRLBLUDLDRDLLDRRLLDLFBRBRLDUFBDDUDBLDFRFBBBDRDRDDLDRULFFLLFLBLDFLURLBUDFBDLRBLFDFLUDDFUBUBLURBBBLFRLFLBDDBURFFBFRRL",
"DFLDUUDBUFFDDLULRRLFBRBRRLBLRBUBFDLUBBFDDDUBRBBFRBBBRBBBBDFUBFRBFUDUULRFUDBRRBUBUUULUULUDDLFDRLURLLDRBRURLULFDDRUBDFLFBFBBUUULFDBLLFRDULLDUDFRBLBFRDBLFDDDRDFLBFDDUUUULDDFDLDDBBBFURDFRFLUUBBRLDLRLUBDFFLBUDFUDLBBRLUDDULBDFBBBBDFFDUDBFRDFRFULURFDRUUURLRFUULUUFLDFRRBRBUDLBLBUBRDRUBFRLFRBFBDFBUDDUBLLBRFLLRLUDRRRDUURRRDBLRRFLULLLLBUUBDLFFRDLULUUDUURULBLLRFUFFLRRLFLRRRURBBLDLDURFBULUBRLDLFFFDBLFFFRUBBDLDDLBBURDRLRBRFRRBRDUFBRLRRULBDRBLBLDFFDRBFFLDDFUBLLDRRLFLUDURRFLFBRLLBLUFDBDBUBFDFDDUURBRUDFDDLLLDFURLURURFBDUDFULFDLRFRFLLLBRLDDDBRFRRUFFBFLRURDUULFBBDRDFBRDBUFURFUBFDUFLFBFRLLUBDBFBDDDBRLBBFRRRULRRBDBFUFBDUBDLRFFULULRDUBFBBDRURLDDDDLUFBLRBBBLURBFRDDULUBRDUBUBBULRFRBDDRLUBFRFBFURRFFDFDFFFFDLRBUDRLBUULDDFFLLLLBDRDFLLFFDBUUURLLFULRDFLBLLFUUBRBLFRRFDUFFFDDBULLDRUFLDRBUBDDDBUBRFULRFBLDRRBRLBBFFLLURUUDUFBDRUDBFLDRFFDUDLULURBRUDRUDBRBRUBLBDDRRDBFFLLBFBRUFBUUFRDDFRDBBFBDDDUDDRUBUUDLLRFUUBDDFDFDLBDDFRFFBULFRLUUBFDDLFDDULRUBLDFDBFFDFDUUBDLDFFFLLULBLRBFBDFDBUFUFUFRBURDLFFLBRBRRRULFBUDBRLUFUBRLRULBRULLDLRLUURBRFFUFLFRFURLULDDFLLRDUULLLULDUBFUURUFLURBDUBDBLDRFDUBFLLLLRLLRRBBURBRBRBDBRDBRLBDURFULBDLLRFFDBRFDLLFRDDUDFBBFLUFBDBDRDFBFLFUULFURURLRFFRBRBFRDURRULFBRFLDFBRFURUBLRFRFULL",

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