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Update README

Daniel Walton 1 year ago
parent
commit
d1be05f2e8
3 changed files with 26 additions and 6 deletions
  1. 12
    6
      README.md
  2. 7
    0
      utils/test_cubes.json
  3. 7
    0
      utils/test_cubes.json.small

+ 12
- 6
README.md View File

@@ -1,13 +1,19 @@
1 1
 # rubiks-cube-NxNxN-solver
2 2
 
3 3
 ## Overview
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+This is a rubiks cube solver that can solve any size cube, I have tested
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+up to 17x17x17.  Here are some stats to give you a rough idea of how many
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+moves it will take to solve your cube.
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+
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 * 2x2x2 works
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-* 3x3x3 works via the kociemba solver
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-* 4x4x4 works, average solution is 65 moves
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-* 5x5x5 works, average solution is 119 moves
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-* 6x6x6 works, average solution is 214 moves
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-* 7x7x7 works, average solution is 304 moves
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-* NxNxN works, average solution increases with cube size
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+* 3x3x3 average solution is 20 moves
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+* 4x4x4 average solution is 65 moves
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+* 5x5x5 average solution is 129 moves
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+* 6x6x6 average solution is 231 moves
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+* 7x7x7 average solution is 329 moves
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+* 8x8x8 average solution is 510 moves
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+* 9x9x9 average solution is 652 moves
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+* 10x10x10 average solution is 895 moves
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12 18
 All cubes 4x4x4 and larger follow the same basic approach:
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 * Solve centers

+ 7
- 0
utils/test_cubes.json View File

@@ -314,6 +314,13 @@
314 314
         "FURFDFLLBLBBULRFBBUFBDURURBUBDBUDRRULRLRLUBUFLDLLDFUFUFRBRLFRDBLBBFRFFBLDLLRBUDBUDDBUDLRRFURDUULBBRLBDLLUDLDBBBLFRBDUDLLRFULRDUFULRURDLFLBUDRLFFDURULLBDFUBFUDUUBBBDBBDRURDUBLURRDFBBRURRRUUBDFDBRURFBFFLFUUBLBLFBRDFRFFFDRBULFDUDRLUFLRBFDRDRRDFFBBLDBUURDUURRBFRRBBLDDUBFLRBRLDFFUULBLDBDBLFLBRFFDDBRDLUBBDRLBFULBBBFRFLFBBUDBFBLBRUBUUFFRRFBFBDLBRRULURLRRDFFLBURBFUDUBURLRLFLUDBUDFLUFFBRBLUFLFDDLRFLBFDFUDLRDUBBDULURUUFFRLDULRBFFLDBLRLFFRDDLURUDBUUBRLDRBRFUDFUDUULDULBFFLRFBLFUBRFBBBBRLDFFDLRFDLURLLDRURDBDDLUFBULDLBFDFFUFUURFFFDRRDBDLFBULFUDLFDDBUBDDFLFRLRUDBFUFLLDBFBFFDDDLDLRLBURLFDDBFFFLBRUFRLDBFUFLFDUBLFRRFFUDFFBBUBBBFRRURDRDLBRBFLURULDUDLBFDLBDRUFLDDFDLLUURRDRDURFLDBDUDFBULLDBDDDURURLDUBRRDDLDLRBBDDLLUUFFRULLLFBFFBDBBBULDRLDRUBFLLLRDLRRBDFRRRRDDBDRFFRDRFFURLFDBBULDUBRULDUFLUDRLULFURUURUDRRRUUFDULLUBFRRLRFDUUDLUUDLDDBDDFDDRLFULLDRFBUFRFRFRRFBDUURBFULRBLLBUFFULBRLDRFBFBLRFFLFRRUUDBRFUBDRLRBBLDURDBLRRDUUDDRRLBRDUBRBDDFULLRRFUBLUUBFBRLRBBLUFUDLBLLFDLULBFDRBUDRRRFLBBUFLULDFBDULLFUDUURUFBFRRFDRFUFDLBDLDLBFBLLBUB",
315 315
         "FFUDLBDRURUFUDBDFBUDUUDDDDFLRRLURBLRDBDDBDDULRFRFBRULFBFULFUBUFDDLDUFFLRDBULLFLDRUFFUFBDDUFDDLFRLBRLLUFDDDLULDLRDLRFLBDFRDUDDRUFBRDDBUULRFBRDFUBLBFLRUDURLFRDUBBRFURBURLURBFDBLLDRRRBBRBRBBLUBRFUBLDUBUDRFRFRDDLLFLFLRDLLRLRDBBRUBFLRRLURFRBDBBRUUURDUUDDLBULRBBULFDRRDFUFULLDUDURUULURDBLRLBRLLLBLUFDBLDBFDBFBFDRRBFFRFLRFDDDLRRURULRULBFUFLDDBRRRBRLUUFBULUDFBUULFBRLDRBFUULFLFBFFRLFULURBLUBFBFDDUBFFBFRRRFDBRBLLDLFDULBRLRBFURUFLBFBDDUBFLRBDDFRBDLDRULUFDLBBFLFBBBFBUURLBRFULRDFLULURDULDDRLLLDRULURLLFRBBDRFLRBRRRBFBLBFRUBRFFDLDUBFUDBFDLLLRDRLULURLBRFBURFUDFURBFRUBRRRDRULBURLDLDFDBFDBURFLUFULFDBBLDDDUUBBRRDUFUDFLDUDFBFFDDDDLUBUUDBLFLBRBUBRFLBLLDBLDURLRRFRLRDRLURLFFLDRRFFRFLBBLURRBDFDRLFFBULBDFLBLULFRBBFDDBURDFRBFDDBLUULBFBFDDDLBDLBBLDRDRUBDRRFUFUUBFRFBDBFBBDFBLFUFRLFFRLLRRFLUFFLDBDBUBFRLBFURLBDRLDUURBBRRLRRFURUUBRDBUBDUUBDFDDUFRRDLBFFFURBUUFBDRBUUDLULBLDRDFBRLLUDDULBLFULRLDBFLDBFUUBDBFRFFRBDBLDBFDFLRDLUFDRBRRUDBLULUDRRULFDLBLFFRLUBDUUBFULUULDUDDFRFUDBFRFFRBLFBDLDUFLDDFLUBFUUBUFLUFLDFBFRDBUBULURBFUDBLUDFDUURBUUFRFL"
316 316
     ],
317
+    "13x13x13": [
318
+        "FDBFFLDLBFRRRBBUBBBRRULBFLFLRRRBDUFUBRUBULRDLUDUUUUDUFDRRRDDRRUBRDRRBBFFRRDLLBRUFLDDUUURFDLFLFFLULBBLRDRBFDFUFLBFBBULLBRBFRRFFUUBFLUDRBFBDBDDDDFDLUBRRUURLDULBBUUFBFLFRRUFBBDDDULBRBBFRLBUUBBBLRFRUDRUUURRUBBDUFFURFLLBFLLUDFLUDDUUUDURFFLDULURLUDDFDRLDUUUDBRDRDULRBFFRDRRRFBFBBBDBFLFLRFUFRFDLLDRFFDBFFLDFLRDLDFFDDBFLDRRDRDRBLRRUDBDFBDULDDBFULBULBRDUUFDBULRRULBDRFRRRBDLDLLDURRLUUBRLFFLLRRURBFULDLLLBLRDDDFRURFRLLUFLBRFFBDLDFBLFRLBRDLRDRLFFBRLUURRBLUUFRUBRFDLLUFRRDDRBFDDDLLDFDFLDLLDBDULRDRFLDLLULDBUFFBRRFLDLFFRBRDUUFUBBULLDRLDLFRFULDUFFUFRBLLLBFURRLRUBBBBLDULLFDBULFDUBUUUUBBUUFFRLFDLUDLBLFUUFLDDFLBUBUBUDUBUDBFDBBFRDBLUURRBUDRRFLBLRDURDBLRUFBBUBBULFLUDBULRRDURFDRLFFLBDFUFUFBBLBDRRRFFDLUBDUULFLRRUBLDBFUBLULBRDDFRRLFDFBFFDBLDDDUBUFFRBLFRLDUFULFUDLBFLUFURUUBLLFFULRBDFLBUFBLBUDBFLBDDRDRDBLFUBBRBRLDRFDRBFBRRLRUDFLUULUBFFRULLBFBFBDDFBFURDRURFFLUFRFRDUDRLDFDDLRFLLDFDDFBBDBBBDRUUDRRBLBLDBBUDDULUFBULBRUUBUFFDLULRFLRFFDRUFBBDDLURUFUUDRBFRDLFRRDBRLLBDDULLLDULLBRBFDRRFDBLBULBBBURFFDUFULDBRBBFFBFRBLFDLDRRBDUFDDULLBRRURDBU",
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+        "BBBLRBLULULBLUDBUBUBFRDFBRDDRDRLDFUFRDDLBBRLRLFBUDBDBRDURUBUBFUDUDFLLRRBBFRLDUDDRLRUULBUDBLURULLBRBRRFUBLFDLFRLBRBLDBRUBRRDDFRLDBLFLLLFRUFBFLRDFLULBBRFRLBLUDBLFUUFUFBFUFUBBFLDDFBBRFUUBFLLDRURBLURULFLRDDDBRUDLRLUDBDFRUUBDBFLDFULRBFFUFFFFDUUFLDLURUBFLRRLDRBDDUFDBUUUULBFRDBLDDDLLDLRRRRDDRBBDDUFDDRBDRLRFUUUBBDDFBLFFFDFLLBRLRDRLUFUFLBUDBULRRBRFDRFRRDUUBRFDRRBLBLUUBUFBBFRRFLRRUBURBDLRLUUDFLBLUUUDFLBRLDBLURFRLBBURRRFFDRRRFRBDFFFBFFLDUUDURLDDRUDUDUBBLLULBRLFRDDUFUFBBDBRFRUBUFRDFLLFDFFUFRRBRFFLFDBLBLDBFBBDDLDDLDURUURDLLDBRFDDUBDRUDFDURDLFBUDUUBLRDLBDLBBFFUDLURFLBLBRUDULLUFUULUBLDLULFURBURFUBURDRLFRDBLFRRDLUFBUFFRUFFDDBDBDLBBRURBDLRDBRBLRLDRDFFRLBDLLDBLULFBBLLFDURUDRBRLDFFBLFBFRLLDDBRLDUDDLFDFURLUUFLBLLRBBFUDBRRDUFRDBBDRBLULFLFRFUUDLDBDUURRLDDULUBDRRLFLLLUDLUBLLFFLDULBBLRUUDDBULFBRLURFFUFDBLFRBLFBLFRDURFRLRFURDRBBUFULLRFUDBRDLLUFRFDFFRUBFRRBBRBDDFBRULDURLUDFBDBFURUUULUUDLDBLBLUDDRUDUFRBBRUFLRFFUFFDBFLFUDFDLRRFBFUDFBFRRLFLBBFFBFDRFDBFBBDDDFUFBUBBFBUFBUDFFDLRUBURLBFULUFLDFULRBFLLDFURRFDURRDDLBURLBBDRRBDRURFFUFL",
320
+        "UDULFFFUDBFUDBUFRLUFDFLBDUFLRFBFLURFRRDUBLBRBFDRFDLDFFURFFBDDLRDULLDFFDUDDBDFFLBLRFUULURRDDDRBDRFFFLLUUDFFLULDBBBFFRDFFDUFFBUDRDRUDDLUFRURRLFBBBDDBRDULBDRURDBURLFDUDURLBDFLBLRBUFRFFRDLUDFRFBDDRFDBLFLUFBRRUFFFULRDLLBLDUULUULFUUBBBDDLRBRUFRBLRRRFLRULRRDRLRBUFFFULFRFDFLBFDURBBRFLRLFRRUURRFRRUDULBBLURBDUBBLDFFDFDRURDFBBFBBRUUBBRRRDBRDBUDDUDLLRBFRFBLFDDRRBDUUBBLFUDLFDFDLBFRLBLUURDLDURULUDBFBFURBBUFDLUDFURFRDBRFBRURDLUFUFLULFFLFBUUDDRUUURBRUFLDULLULLLDLLUBDUBBRBBUBFRRFRFRLRLBDBLBBRLFFDUFBDDLDFLDUFLFFRBRRUULUBRBRDDUUBLLUFLBBBBUUFUFURBLLRDDRFFLFDLBBULBBRRFUBULLBBLDDLFFFBBDDRLLDBBFDFRLLBFLLFRRDFBDUDLLFULBLUBURBBUFDBBRFLLRBFDLDRRDLUDRULBFLBDLBDBRDDDLBBBRBLBBDUBURRLBDRDFDRULRUULFDRRRBBLRLRUFUULRDBLUDDLFURDBBUUUBRRBBBLRLRRDUBULRFFUURRLFLUDFUUBDURRDRDUDFLUDBFDDFBLDDBLBURRLLLURURRFFBBUFFFBUBBFBLRLLBFLBUUUFDRRLLUUDRDDURRFULUFFLRLDFUBDLLLUFDFLFUDFDRFFLLRLRLUUFFLRLLFFBRDUDRBRDUUFFBBLUBFFUBDFDRDBDRDLDBRUDLULDRBFRRLLRLLDLBLRLUFFRLULDDBDRUDRRLDUDURUDUFDDBDBRLFURUBBBLLRBULFLRFDFFUFLBDDDUBBDUUUDRFUBDFRLLFDRFBBBDBFDBLBFBU",
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+        "BLFULLLBLLFRLUUBLDDFFDDLFLBDRFDDUUBBBUBDULBBBURDBRDFULFDLRFFLFLLLBLBLRRBLBDRUFFDBDURUURLFRLRURLFUDDLRLLRBFDLRBDUFURLBBDUBLBRUUFLRRDLBRBLDUFDDRDUFULDUBBUDDLRBRDFUUDRURBLDFBFFUFBLBDRUULULULBFLDFLBURFFBLLLUUDLLDRBURUUDRDBLFRDLDFDFLLLRDDDDFDLURFLDULLUFBLLBRRDDBDLUDURRDUFUFUDBRFDLLFFLRULFBRFULDUUFFLDBRRBURRRDUBRDLDFBFBBFDRURFFRRRBBBLURDLUFFDDURRRFRUFDUBRLBBBBLLRURLLFDURRFFRRURRRUFLULBDLFURLRBDFFLBDBBUBRLFFURFFFFBURFRFDBDFRBFRBRDLDUBUFRFRRUBFFFBFUUDDLFLDBRLLLDDFBFRDRFFUFDBDFDRUBFBBDRLDDBUUFBRDRDDDUBBRRBDRDDUBLLDRDFDRBRLFBURBFDRBDUFFRBFFRBDLBUBDUDLULRFUBUBDULLFRDRBDBRRFRUDLDFDDFBDLDLLBBFURFLDFRRUBULRBLLLUUDBFRLBBBDDDLBFBRUULBDUBDUBDUBFRUFLDLFLLUFDBRRUFLRLDLLRRDDUFLFFULURFRBFRRRBFUUDLLLFRUBFBURUUULURUFLFBLURRRFUULFBLULFDDFFFDLRBDLRRFRRBRUBBDRFBRDDBBFFRDLFLDLLUUFFDLLBDLLBDBBFBRRDRFRBUDUFFLUUBFRFULBLRLURDLRDFBLBBBUURUFLDFRDURFFDBDLFLURDRBLDUDLBDLUUDFBDBLFUBDBRRFRFFURDBFBLBDRBLDFFFRUDRUFRURRLLLUFBURUFUUDUFDFFBULLFLDLDDDRBDFUFLBBUDRUBBDBBBBULLDURFUBUDURRUBBLFBDUUFRUBFRLUDUUBUDLBBFUBUUBFDRBLBFFRULRULLULDLULRDBDF",
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+        "LDFLBRUDBRFFURRULBFDFRBUBRLBUFFBLRBDDDRUDFLBBBDRRRFRRLBLUURDFBBLFFRBLLUUDFFBLRDDLLLLULDUDBBLDFRBUFBLDUBRDDDLDLBURDFRLUUBLUUBRRLRBRLLRBDDFDUDRDDFRLRRBRBBLFLFRFFDBDLBLDDRBDRRDBFRDLFUDLLBFDFRDUURURLDRULUFRFBDBRBBDLDUDRUBUBDRULUFBRDBLLFFFUUFDDLDRBLURBFUBUURRDBBDFDFBRFFRLLFRFURRDDRBFLUBFFRRUBLBUDFRLFLLUBUURBLLDBUDLRBBFFULFDRBUDBBBRDFFLUURUFRDUUFLLBUUFLBRBBLLBUBBDRULUUBLBRRURRDDDBRUUUDULRUDULLFURUFDFURFBDBFRDUUUFLDLFRFUBDLBRFBBFRFDDRRURDLLRRRLLDLFDUDFBURLBUFRLFLBDBBRBDLDDRRDLLLLLDDLFFFRBFULFFLLLLLFBBLUDLLRBUBDDDUBBBDFBRRDFBUUURUFULFUBLLUDLFULBFRFLLLBBFBRBBFUBFFFDLLRFRDUFUFFUFBBBFFFBFDFLUDUDDDLRBBUBBBLBFBRRFDRLFUDRFUULDBRDLLRRLLBDDFUBFDFRFFULFLBULDRDDFBBDRFLUDDUFUBUFBRDFBRFUDUUBURBBRBDRFUULDRDFLUFRLDUFFRLRBFLLLBFRLDULBRFDDDBUDFDRLDURUUURLUFDLUUFFLLDLURRDRFRLBRLULRRBUURBUDDBBDLDURFBLDRDDDDLUDRFBLUDURRLLBFBUFRRUFDFDBLFUFFDUFURURLLFLUDDLLRDLBUFLLFRFFUDDDRBDDRRLDLRLBRURUBBFRUULLURBLBUFFRDFFRBBFBRBUFFUDRLURRRRBBBBFURFRDULLDBDLRBUFURUFUUFULBFDBLULBBBLFDFRDRLRDBRFFRFUFBDDUDFDBUFUBFLLDBBRLURULDLLDBFUUFDFLURDUDFUBD"
323
+    ],
317 324
     "14x14x14": [
318 325
         "FBDRLBLRRURRLDRBDLBURDFDDDRBLBBFBRDLLFDUBLFRLDFUUBFRDBFBBBULFRLBUFLBDDDLLDRBFLLBBLFBFFDFBFDDFRRRBDRRBRBDUFDRLRUDLDFDDURFLBUBBUUDLBRRDUDRDBBBLDBRBBBUFLBLRUURBDDLDRLUFFBLFRLDFBRFLDLBULFFBRLDBDDFLLRFLUBFDFBRLRLFDBLBURLBLFRFBLLDULUDURLBUUULLRRLUBDDLURLLRFURFRFRBDDUBLDFBLUDRLRDRRBLFUFRDUFFRULBLRBBRUFDBUBBBBLDBRBLDDRRFDDBFFUUBRBLFUBBRFUURBFDRLURLRBFUUFUBRUDRBDFBBFURFLFFDRDFUFFULFLUBDFUFFDLRRFRUDUDLBBBDLLLDUFUDRFDBLRRFFLRUFDRFURDLRRDRDLFBRLRLULRFBDLFDRLFRDDFLLDBFBUBBRLLDLFURFRFULUBLUBFLFFBFDFBDUUBURUUUBFUBDLLFLUUUFDUDLUUULDLLUDDBUFRDRULRLLULRULFBLUDFURFLFUBDLLFLFUBUUBBUFLUDUBRDBLFFUUUFDRLRULUDDRLRBLRUUFBRRRRULBDLFBFLDLRDFUBLUBRDDFUULFLDLUBFURRURUBDFFFDLRFFLBRFRDRUDUULURULLDFRBUDRDLFUFULDBLUBFRFBURDLLUUFDURLRDBLFFRFDBFURLFUBLUUUFFRULUBURRURFDDBFUFRBURBBDRFUDDFDLRUURFBBDBDRLUBRRBFDFRDFDLRDUFFUBRRBDBBLDLFDUDDRLFRRRBUUUBRFUFBUFFBRRDRDDBBDRUULDRFRFBUFLFFBLRBFLLLRUDFDRUDLDRLFRLUFLUBRDUFDDLLUDDRBUBBBDRDBBFRBDDRRLRRUUBBUDUDBLDBDFLFRFUBFLFDBBLRLULDBRFBRRLUUURDFFFDBLDUDBRFDDFFUBLUUURBBULFUFUDFBRDLLFURBULULBUDLUFFBDRBRRDBUUULFDURRDFDDLUDBDRBFBUFLULURUFDRFRFBBFBBBDRLBLUDLDRDLLDRRLLDLFBRBRLDUFBDDUDBLDFRFBBBDRDRDDLDRULFFLLFLBLDFLURLBUDFBDLRBLFDFLUDDFUBUBLURBBBLFRLFLBDDBURFFBFRRL",
319 326
         "DFLDUUDBUFFDDLULRRLFBRBRRLBLRBUBFDLUBBFDDDUBRBBFRBBBRBBBBDFUBFRBFUDUULRFUDBRRBUBUUULUULUDDLFDRLURLLDRBRURLULFDDRUBDFLFBFBBUUULFDBLLFRDULLDUDFRBLBFRDBLFDDDRDFLBFDDUUUULDDFDLDDBBBFURDFRFLUUBBRLDLRLUBDFFLBUDFUDLBBRLUDDULBDFBBBBDFFDUDBFRDFRFULURFDRUUURLRFUULUUFLDFRRBRBUDLBLBUBRDRUBFRLFRBFBDFBUDDUBLLBRFLLRLUDRRRDUURRRDBLRRFLULLLLBUUBDLFFRDLULUUDUURULBLLRFUFFLRRLFLRRRURBBLDLDURFBULUBRLDLFFFDBLFFFRUBBDLDDLBBURDRLRBRFRRBRDUFBRLRRULBDRBLBLDFFDRBFFLDDFUBLLDRRLFLUDURRFLFBRLLBLUFDBDBUBFDFDDUURBRUDFDDLLLDFURLURURFBDUDFULFDLRFRFLLLBRLDDDBRFRRUFFBFLRURDUULFBBDRDFBRDBUFURFUBFDUFLFBFRLLUBDBFBDDDBRLBBFRRRULRRBDBFUFBDUBDLRFFULULRDUBFBBDRURLDDDDLUFBLRBBBLURBFRDDULUBRDUBUBBULRFRBDDRLUBFRFBFURRFFDFDFFFFDLRBUDRLBUULDDFFLLLLBDRDFLLFFDBUUURLLFULRDFLBLLFUUBRBLFRRFDUFFFDDBULLDRUFLDRBUBDDDBUBRFULRFBLDRRBRLBBFFLLURUUDUFBDRUDBFLDRFFDUDLULURBRUDRUDBRBRUBLBDDRRDBFFLLBFBRUFBUUFRDDFRDBBFBDDDUDDRUBUUDLLRFUUBDDFDFDLBDDFRFFBULFRLUUBFDDLFDDULRUBLDFDBFFDFDUUBDLDFFFLLULBLRBFBDFDBUFUFUFRBURDLFFLBRBRRRULFBUDBRLUFUBRLRULBRULLDLRLUURBRFFUFLFRFURLULDDFLLRDUULLLULDUBFUURUFLURBDUBDBLDRFDUBFLLLLRLLRRBBURBRBRBDBRDBRLBDURFULBDLLRFFDBRFDLLFRDDUDFBBFLUFBDBDRDFBFLFUULFURURLRFFRBRBFRDURRULFBRFLDFBRFURUBLRFRFULL",

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

@@ -314,6 +314,13 @@
314 314
         "FURFDFLLBLBBULRFBBUFBDURURBUBDBUDRRULRLRLUBUFLDLLDFUFUFRBRLFRDBLBBFRFFBLDLLRBUDBUDDBUDLRRFURDUULBBRLBDLLUDLDBBBLFRBDUDLLRFULRDUFULRURDLFLBUDRLFFDURULLBDFUBFUDUUBBBDBBDRURDUBLURRDFBBRURRRUUBDFDBRURFBFFLFUUBLBLFBRDFRFFFDRBULFDUDRLUFLRBFDRDRRDFFBBLDBUURDUURRBFRRBBLDDUBFLRBRLDFFUULBLDBDBLFLBRFFDDBRDLUBBDRLBFULBBBFRFLFBBUDBFBLBRUBUUFFRRFBFBDLBRRULURLRRDFFLBURBFUDUBURLRLFLUDBUDFLUFFBRBLUFLFDDLRFLBFDFUDLRDUBBDULURUUFFRLDULRBFFLDBLRLFFRDDLURUDBUUBRLDRBRFUDFUDUULDULBFFLRFBLFUBRFBBBBRLDFFDLRFDLURLLDRURDBDDLUFBULDLBFDFFUFUURFFFDRRDBDLFBULFUDLFDDBUBDDFLFRLRUDBFUFLLDBFBFFDDDLDLRLBURLFDDBFFFLBRUFRLDBFUFLFDUBLFRRFFUDFFBBUBBBFRRURDRDLBRBFLURULDUDLBFDLBDRUFLDDFDLLUURRDRDURFLDBDUDFBULLDBDDDURURLDUBRRDDLDLRBBDDLLUUFFRULLLFBFFBDBBBULDRLDRUBFLLLRDLRRBDFRRRRDDBDRFFRDRFFURLFDBBULDUBRULDUFLUDRLULFURUURUDRRRUUFDULLUBFRRLRFDUUDLUUDLDDBDDFDDRLFULLDRFBUFRFRFRRFBDUURBFULRBLLBUFFULBRLDRFBFBLRFFLFRRUUDBRFUBDRLRBBLDURDBLRRDUUDDRRLBRDUBRBDDFULLRRFUBLUUBFBRLRBBLUFUDLBLLFDLULBFDRBUDRRRFLBBUFLULDFBDULLFUDUURUFBFRRFDRFUFDLBDLDLBFBLLBUB",
315 315
         "FFUDLBDRURUFUDBDFBUDUUDDDDFLRRLURBLRDBDDBDDULRFRFBRULFBFULFUBUFDDLDUFFLRDBULLFLDRUFFUFBDDUFDDLFRLBRLLUFDDDLULDLRDLRFLBDFRDUDDRUFBRDDBUULRFBRDFUBLBFLRUDURLFRDUBBRFURBURLURBFDBLLDRRRBBRBRBBLUBRFUBLDUBUDRFRFRDDLLFLFLRDLLRLRDBBRUBFLRRLURFRBDBBRUUURDUUDDLBULRBBULFDRRDFUFULLDUDURUULURDBLRLBRLLLBLUFDBLDBFDBFBFDRRBFFRFLRFDDDLRRURULRULBFUFLDDBRRRBRLUUFBULUDFBUULFBRLDRBFUULFLFBFFRLFULURBLUBFBFDDUBFFBFRRRFDBRBLLDLFDULBRLRBFURUFLBFBDDUBFLRBDDFRBDLDRULUFDLBBFLFBBBFBUURLBRFULRDFLULURDULDDRLLLDRULURLLFRBBDRFLRBRRRBFBLBFRUBRFFDLDUBFUDBFDLLLRDRLULURLBRFBURFUDFURBFRUBRRRDRULBURLDLDFDBFDBURFLUFULFDBBLDDDUUBBRRDUFUDFLDUDFBFFDDDDLUBUUDBLFLBRBUBRFLBLLDBLDURLRRFRLRDRLURLFFLDRRFFRFLBBLURRBDFDRLFFBULBDFLBLULFRBBFDDBURDFRBFDDBLUULBFBFDDDLBDLBBLDRDRUBDRRFUFUUBFRFBDBFBBDFBLFUFRLFFRLLRRFLUFFLDBDBUBFRLBFURLBDRLDUURBBRRLRRFURUUBRDBUBDUUBDFDDUFRRDLBFFFURBUUFBDRBUUDLULBLDRDFBRLLUDDULBLFULRLDBFLDBFUUBDBFRFFRBDBLDBFDFLRDLUFDRBRRUDBLULUDRRULFDLBLFFRLUBDUUBFULUULDUDDFRFUDBFRFFRBLFBDLDUFLDDFLUBFUUBUFLUFLDFBFRDBUBULURBFUDBLUDFDUURBUUFRFL"
316 316
     ],
317
+    "13x13x13": [
318
+        "FDBFFLDLBFRRRBBUBBBRRULBFLFLRRRBDUFUBRUBULRDLUDUUUUDUFDRRRDDRRUBRDRRBBFFRRDLLBRUFLDDUUURFDLFLFFLULBBLRDRBFDFUFLBFBBULLBRBFRRFFUUBFLUDRBFBDBDDDDFDLUBRRUURLDULBBUUFBFLFRRUFBBDDDULBRBBFRLBUUBBBLRFRUDRUUURRUBBDUFFURFLLBFLLUDFLUDDUUUDURFFLDULURLUDDFDRLDUUUDBRDRDULRBFFRDRRRFBFBBBDBFLFLRFUFRFDLLDRFFDBFFLDFLRDLDFFDDBFLDRRDRDRBLRRUDBDFBDULDDBFULBULBRDUUFDBULRRULBDRFRRRBDLDLLDURRLUUBRLFFLLRRURBFULDLLLBLRDDDFRURFRLLUFLBRFFBDLDFBLFRLBRDLRDRLFFBRLUURRBLUUFRUBRFDLLUFRRDDRBFDDDLLDFDFLDLLDBDULRDRFLDLLULDBUFFBRRFLDLFFRBRDUUFUBBULLDRLDLFRFULDUFFUFRBLLLBFURRLRUBBBBLDULLFDBULFDUBUUUUBBUUFFRLFDLUDLBLFUUFLDDFLBUBUBUDUBUDBFDBBFRDBLUURRBUDRRFLBLRDURDBLRUFBBUBBULFLUDBULRRDURFDRLFFLBDFUFUFBBLBDRRRFFDLUBDUULFLRRUBLDBFUBLULBRDDFRRLFDFBFFDBLDDDUBUFFRBLFRLDUFULFUDLBFLUFURUUBLLFFULRBDFLBUFBLBUDBFLBDDRDRDBLFUBBRBRLDRFDRBFBRRLRUDFLUULUBFFRULLBFBFBDDFBFURDRURFFLUFRFRDUDRLDFDDLRFLLDFDDFBBDBBBDRUUDRRBLBLDBBUDDULUFBULBRUUBUFFDLULRFLRFFDRUFBBDDLURUFUUDRBFRDLFRRDBRLLBDDULLLDULLBRBFDRRFDBLBULBBBURFFDUFULDBRBBFFBFRBLFDLDRRBDUFDDULLBRRURDBU",
319
+        "BBBLRBLULULBLUDBUBUBFRDFBRDDRDRLDFUFRDDLBBRLRLFBUDBDBRDURUBUBFUDUDFLLRRBBFRLDUDDRLRUULBUDBLURULLBRBRRFUBLFDLFRLBRBLDBRUBRRDDFRLDBLFLLLFRUFBFLRDFLULBBRFRLBLUDBLFUUFUFBFUFUBBFLDDFBBRFUUBFLLDRURBLURULFLRDDDBRUDLRLUDBDFRUUBDBFLDFULRBFFUFFFFDUUFLDLURUBFLRRLDRBDDUFDBUUUULBFRDBLDDDLLDLRRRRDDRBBDDUFDDRBDRLRFUUUBBDDFBLFFFDFLLBRLRDRLUFUFLBUDBULRRBRFDRFRRDUUBRFDRRBLBLUUBUFBBFRRFLRRUBURBDLRLUUDFLBLUUUDFLBRLDBLURFRLBBURRRFFDRRRFRBDFFFBFFLDUUDURLDDRUDUDUBBLLULBRLFRDDUFUFBBDBRFRUBUFRDFLLFDFFUFRRBRFFLFDBLBLDBFBBDDLDDLDURUURDLLDBRFDDUBDRUDFDURDLFBUDUUBLRDLBDLBBFFUDLURFLBLBRUDULLUFUULUBLDLULFURBURFUBURDRLFRDBLFRRDLUFBUFFRUFFDDBDBDLBBRURBDLRDBRBLRLDRDFFRLBDLLDBLULFBBLLFDURUDRBRLDFFBLFBFRLLDDBRLDUDDLFDFURLUUFLBLLRBBFUDBRRDUFRDBBDRBLULFLFRFUUDLDBDUURRLDDULUBDRRLFLLLUDLUBLLFFLDULBBLRUUDDBULFBRLURFFUFDBLFRBLFBLFRDURFRLRFURDRBBUFULLRFUDBRDLLUFRFDFFRUBFRRBBRBDDFBRULDURLUDFBDBFURUUULUUDLDBLBLUDDRUDUFRBBRUFLRFFUFFDBFLFUDFDLRRFBFUDFBFRRLFLBBFFBFDRFDBFBBDDDFUFBUBBFBUFBUDFFDLRUBURLBFULUFLDFULRBFLLDFURRFDURRDDLBURLBBDRRBDRURFFUFL",
320
+        "UDULFFFUDBFUDBUFRLUFDFLBDUFLRFBFLURFRRDUBLBRBFDRFDLDFFURFFBDDLRDULLDFFDUDDBDFFLBLRFUULURRDDDRBDRFFFLLUUDFFLULDBBBFFRDFFDUFFBUDRDRUDDLUFRURRLFBBBDDBRDULBDRURDBURLFDUDURLBDFLBLRBUFRFFRDLUDFRFBDDRFDBLFLUFBRRUFFFULRDLLBLDUULUULFUUBBBDDLRBRUFRBLRRRFLRULRRDRLRBUFFFULFRFDFLBFDURBBRFLRLFRRUURRFRRUDULBBLURBDUBBLDFFDFDRURDFBBFBBRUUBBRRRDBRDBUDDUDLLRBFRFBLFDDRRBDUUBBLFUDLFDFDLBFRLBLUURDLDURULUDBFBFURBBUFDLUDFURFRDBRFBRURDLUFUFLULFFLFBUUDDRUUURBRUFLDULLULLLDLLUBDUBBRBBUBFRRFRFRLRLBDBLBBRLFFDUFBDDLDFLDUFLFFRBRRUULUBRBRDDUUBLLUFLBBBBUUFUFURBLLRDDRFFLFDLBBULBBRRFUBULLBBLDDLFFFBBDDRLLDBBFDFRLLBFLLFRRDFBDUDLLFULBLUBURBBUFDBBRFLLRBFDLDRRDLUDRULBFLBDLBDBRDDDLBBBRBLBBDUBURRLBDRDFDRULRUULFDRRRBBLRLRUFUULRDBLUDDLFURDBBUUUBRRBBBLRLRRDUBULRFFUURRLFLUDFUUBDURRDRDUDFLUDBFDDFBLDDBLBURRLLLURURRFFBBUFFFBUBBFBLRLLBFLBUUUFDRRLLUUDRDDURRFULUFFLRLDFUBDLLLUFDFLFUDFDRFFLLRLRLUUFFLRLLFFBRDUDRBRDUUFFBBLUBFFUBDFDRDBDRDLDBRUDLULDRBFRRLLRLLDLBLRLUFFRLULDDBDRUDRRLDUDURUDUFDDBDBRLFURUBBBLLRBULFLRFDFFUFLBDDDUBBDUUUDRFUBDFRLLFDRFBBBDBFDBLBFBU",
321
+        "BLFULLLBLLFRLUUBLDDFFDDLFLBDRFDDUUBBBUBDULBBBURDBRDFULFDLRFFLFLLLBLBLRRBLBDRUFFDBDURUURLFRLRURLFUDDLRLLRBFDLRBDUFURLBBDUBLBRUUFLRRDLBRBLDUFDDRDUFULDUBBUDDLRBRDFUUDRURBLDFBFFUFBLBDRUULULULBFLDFLBURFFBLLLUUDLLDRBURUUDRDBLFRDLDFDFLLLRDDDDFDLURFLDULLUFBLLBRRDDBDLUDURRDUFUFUDBRFDLLFFLRULFBRFULDUUFFLDBRRBURRRDUBRDLDFBFBBFDRURFFRRRBBBLURDLUFFDDURRRFRUFDUBRLBBBBLLRURLLFDURRFFRRURRRUFLULBDLFURLRBDFFLBDBBUBRLFFURFFFFBURFRFDBDFRBFRBRDLDUBUFRFRRUBFFFBFUUDDLFLDBRLLLDDFBFRDRFFUFDBDFDRUBFBBDRLDDBUUFBRDRDDDUBBRRBDRDDUBLLDRDFDRBRLFBURBFDRBDUFFRBFFRBDLBUBDUDLULRFUBUBDULLFRDRBDBRRFRUDLDFDDFBDLDLLBBFURFLDFRRUBULRBLLLUUDBFRLBBBDDDLBFBRUULBDUBDUBDUBFRUFLDLFLLUFDBRRUFLRLDLLRRDDUFLFFULURFRBFRRRBFUUDLLLFRUBFBURUUULURUFLFBLURRRFUULFBLULFDDFFFDLRBDLRRFRRBRUBBDRFBRDDBBFFRDLFLDLLUUFFDLLBDLLBDBBFBRRDRFRBUDUFFLUUBFRFULBLRLURDLRDFBLBBBUURUFLDFRDURFFDBDLFLURDRBLDUDLBDLUUDFBDBLFUBDBRRFRFFURDBFBLBDRBLDFFFRUDRUFRURRLLLUFBURUFUUDUFDFFBULLFLDLDDDRBDFUFLBBUDRUBBDBBBBULLDURFUBUDURRUBBLFBDUUFRUBFRLUDUUBUDLBBFUBUUBFDRBLBFFRULRULLULDLULRDBDF",
322
+        "LDFLBRUDBRFFURRULBFDFRBUBRLBUFFBLRBDDDRUDFLBBBDRRRFRRLBLUURDFBBLFFRBLLUUDFFBLRDDLLLLULDUDBBLDFRBUFBLDUBRDDDLDLBURDFRLUUBLUUBRRLRBRLLRBDDFDUDRDDFRLRRBRBBLFLFRFFDBDLBLDDRBDRRDBFRDLFUDLLBFDFRDUURURLDRULUFRFBDBRBBDLDUDRUBUBDRULUFBRDBLLFFFUUFDDLDRBLURBFUBUURRDBBDFDFBRFFRLLFRFURRDDRBFLUBFFRRUBLBUDFRLFLLUBUURBLLDBUDLRBBFFULFDRBUDBBBRDFFLUURUFRDUUFLLBUUFLBRBBLLBUBBDRULUUBLBRRURRDDDBRUUUDULRUDULLFURUFDFURFBDBFRDUUUFLDLFRFUBDLBRFBBFRFDDRRURDLLRRRLLDLFDUDFBURLBUFRLFLBDBBRBDLDDRRDLLLLLDDLFFFRBFULFFLLLLLFBBLUDLLRBUBDDDUBBBDFBRRDFBUUURUFULFUBLLUDLFULBFRFLLLBBFBRBBFUBFFFDLLRFRDUFUFFUFBBBFFFBFDFLUDUDDDLRBBUBBBLBFBRRFDRLFUDRFUULDBRDLLRRLLBDDFUBFDFRFFULFLBULDRDDFBBDRFLUDDUFUBUFBRDFBRFUDUUBURBBRBDRFUULDRDFLUFRLDUFFRLRBFLLLBFRLDULBRFDDDBUDFDRLDURUUURLUFDLUUFFLLDLURRDRFRLBRLULRRBUURBUDDBBDLDURFBLDRDDDDLUDRFBLUDURRLLBFBUFRRUFDFDBLFUFFDUFURURLLFLUDDLLRDLBUFLLFRFFUDDDRBDDRRLDLRLBRURUBBFRUULLURBLBUFFRDFFRBBFBRBUFFUDRLURRRRBBBBFURFRDULLDBDLRBUFURUFUUFULBFDBLULBBBLFDFRDRLRDBRFFRFUFBDDUDFDBUFUBFLLDBBRLURULDLLDBFUUFDFLURDUDFUBD"
323
+    ],
317 324
     "14x14x14": [
318 325
         "FBDRLBLRRURRLDRBDLBURDFDDDRBLBBFBRDLLFDUBLFRLDFUUBFRDBFBBBULFRLBUFLBDDDLLDRBFLLBBLFBFFDFBFDDFRRRBDRRBRBDUFDRLRUDLDFDDURFLBUBBUUDLBRRDUDRDBBBLDBRBBBUFLBLRUURBDDLDRLUFFBLFRLDFBRFLDLBULFFBRLDBDDFLLRFLUBFDFBRLRLFDBLBURLBLFRFBLLDULUDURLBUUULLRRLUBDDLURLLRFURFRFRBDDUBLDFBLUDRLRDRRBLFUFRDUFFRULBLRBBRUFDBUBBBBLDBRBLDDRRFDDBFFUUBRBLFUBBRFUURBFDRLURLRBFUUFUBRUDRBDFBBFURFLFFDRDFUFFULFLUBDFUFFDLRRFRUDUDLBBBDLLLDUFUDRFDBLRRFFLRUFDRFURDLRRDRDLFBRLRLULRFBDLFDRLFRDDFLLDBFBUBBRLLDLFURFRFULUBLUBFLFFBFDFBDUUBURUUUBFUBDLLFLUUUFDUDLUUULDLLUDDBUFRDRULRLLULRULFBLUDFURFLFUBDLLFLFUBUUBBUFLUDUBRDBLFFUUUFDRLRULUDDRLRBLRUUFBRRRRULBDLFBFLDLRDFUBLUBRDDFUULFLDLUBFURRURUBDFFFDLRFFLBRFRDRUDUULURULLDFRBUDRDLFUFULDBLUBFRFBURDLLUUFDURLRDBLFFRFDBFURLFUBLUUUFFRULUBURRURFDDBFUFRBURBBDRFUDDFDLRUURFBBDBDRLUBRRBFDFRDFDLRDUFFUBRRBDBBLDLFDUDDRLFRRRBUUUBRFUFBUFFBRRDRDDBBDRUULDRFRFBUFLFFBLRBFLLLRUDFDRUDLDRLFRLUFLUBRDUFDDLLUDDRBUBBBDRDBBFRBDDRRLRRUUBBUDUDBLDBDFLFRFUBFLFDBBLRLULDBRFBRRLUUURDFFFDBLDUDBRFDDFFUBLUUURBBULFUFUDFBRDLLFURBULULBUDLUFFBDRBRRDBUUULFDURRDFDDLUDBDRBFBUFLULURUFDRFRFBBFBBBDRLBLUDLDRDLLDRRLLDLFBRBRLDUFBDDUDBLDFRFBBBDRDRDDLDRULFFLLFLBLDFLURLBUDFBDLRBLFDFLUDDFUBUBLURBBBLFRLFLBDDBURFFBFRRL",
319 326
         "DFLDUUDBUFFDDLULRRLFBRBRRLBLRBUBFDLUBBFDDDUBRBBFRBBBRBBBBDFUBFRBFUDUULRFUDBRRBUBUUULUULUDDLFDRLURLLDRBRURLULFDDRUBDFLFBFBBUUULFDBLLFRDULLDUDFRBLBFRDBLFDDDRDFLBFDDUUUULDDFDLDDBBBFURDFRFLUUBBRLDLRLUBDFFLBUDFUDLBBRLUDDULBDFBBBBDFFDUDBFRDFRFULURFDRUUURLRFUULUUFLDFRRBRBUDLBLBUBRDRUBFRLFRBFBDFBUDDUBLLBRFLLRLUDRRRDUURRRDBLRRFLULLLLBUUBDLFFRDLULUUDUURULBLLRFUFFLRRLFLRRRURBBLDLDURFBULUBRLDLFFFDBLFFFRUBBDLDDLBBURDRLRBRFRRBRDUFBRLRRULBDRBLBLDFFDRBFFLDDFUBLLDRRLFLUDURRFLFBRLLBLUFDBDBUBFDFDDUURBRUDFDDLLLDFURLURURFBDUDFULFDLRFRFLLLBRLDDDBRFRRUFFBFLRURDUULFBBDRDFBRDBUFURFUBFDUFLFBFRLLUBDBFBDDDBRLBBFRRRULRRBDBFUFBDUBDLRFFULULRDUBFBBDRURLDDDDLUFBLRBBBLURBFRDDULUBRDUBUBBULRFRBDDRLUBFRFBFURRFFDFDFFFFDLRBUDRLBUULDDFFLLLLBDRDFLLFFDBUUURLLFULRDFLBLLFUUBRBLFRRFDUFFFDDBULLDRUFLDRBUBDDDBUBRFULRFBLDRRBRLBBFFLLURUUDUFBDRUDBFLDRFFDUDLULURBRUDRUDBRBRUBLBDDRRDBFFLLBFBRUFBUUFRDDFRDBBFBDDDUDDRUBUUDLLRFUUBDDFDFDLBDDFRFFBULFRLUUBFDDLFDDULRUBLDFDBFFDFDUUBDLDFFFLLULBLRBFBDFDBUFUFUFRBURDLFFLBRBRRRULFBUDBRLUFUBRLRULBRULLDLRLUURBRFFUFLFRFURLULDDFLLRDUULLLULDUBFUURUFLURBDUBDBLDRFDUBFLLLLRLLRRBBURBRBRBDBRDBRLBDURFULBDLLRFFDBRFDLLFRDDUDFBBFLUFBDBDRDFBFLFUULFURURLRFFRBRBFRDURRULFBRFLDFBRFURUBLRFRFULL",