[ { "depth": 3, "index": 0, "facelets": "BUUFUUFLLDLLRRURRUDBBDFFRFFBDDBDDFRRULLRLLRDDFFLBBUBBU", "prompt": "Below is a scrambled Rubik's Cube, shown unfolded with all 6 faces visible. Each face is a 3x3 grid of stickers. Each letter names a sticker's color, using the face it belongs on when the cube is solved: U=White (Up), R=Red (Right), F=Green (Front), D=Yellow (Down), L=Orange (Left), B=Blue (Back).\n\nThe diagram is laid out as follows:\n- The first 3 lines (indented) are the U (Up) face.\n- The next 3 lines each hold four space-separated 3-sticker groups. Left to right, these groups are the L (Left), F (Front), R (Right) and B (Back) faces.\n- The last 3 lines (indented) are the D (Down) face.\n\nEach face's rows and columns are oriented as they appear once the cube is folded up:\n- U: its first line is the row touching B, and its last line is the row touching F.\n- D: its first line is the row touching F, and its last line is the row touching B.\n- L, F, R and B: the first line of each is the row touching U.\n- Reading a line from left to right: U, F and D run from L to R; R runs from F to B; L runs from B to F; and B runs from R to L.\n\n B U U\n F U U\n F L L\nU L L D B B D L L F F L\nR L L D F F R R U B B U\nR D D R F F R R U B B U\n B D D\n B D D\n F R R\n\nGive the sequence of moves that returns this cube to a fully solved state (all 9 stickers on each face matching).\nRespond with only the move sequence in standard notation: a space-separated list of face letters (U, D, L, R, F, or B), each optionally followed by ' for a counterclockwise turn or 2 for a double turn. Do not copy any example — work out the actual sequence for the cube shown above.\nDo not include any explanation, commentary, or code." }, { "depth": 3, "index": 1, "facelets": "BRRLUULUUBBDURDURDURRFFFFFFRRRDDDFLLUFFULDLLDBBLBBLBBD", "prompt": "Below is a scrambled Rubik's Cube, shown unfolded with all 6 faces visible. Each face is a 3x3 grid of stickers. Each letter names a sticker's color, using the face it belongs on when the cube is solved: U=White (Up), R=Red (Right), F=Green (Front), D=Yellow (Down), L=Orange (Left), B=Blue (Back).\n\nThe diagram is laid out as follows:\n- The first 3 lines (indented) are the U (Up) face.\n- The next 3 lines each hold four space-separated 3-sticker groups. Left to right, these groups are the L (Left), F (Front), R (Right) and B (Back) faces.\n- The last 3 lines (indented) are the D (Down) face.\n\nEach face's rows and columns are oriented as they appear once the cube is folded up:\n- U: its first line is the row touching B, and its last line is the row touching F.\n- D: its first line is the row touching F, and its last line is the row touching B.\n- L, F, R and B: the first line of each is the row touching U.\n- Reading a line from left to right: U, F and D run from L to R; R runs from F to B; L runs from B to F; and B runs from R to L.\n\n B R R\n L U U\n L U U\nU F F U R R B B D B B L\nU L D F F F U R D B B L\nL L D F F F U R D B B D\n R R R\n D D D\n F L L\n\nGive the sequence of moves that returns this cube to a fully solved state (all 9 stickers on each face matching).\nRespond with only the move sequence in standard notation: a space-separated list of face letters (U, D, L, R, F, or B), each optionally followed by ' for a counterclockwise turn or 2 for a double turn. Do not copy any example — work out the actual sequence for the cube shown above.\nDo not include any explanation, commentary, or code." }, { "depth": 3, "index": 2, "facelets": "UDBUUBUUBLLLRRRRRRFFDFFDFFDDDBDDBDUBRLLRLLRLLUBFUBFUBF", "prompt": "Below is a scrambled Rubik's Cube, shown unfolded with all 6 faces visible. Each face is a 3x3 grid of stickers. Each letter names a sticker's color, using the face it belongs on when the cube is solved: U=White (Up), R=Red (Right), F=Green (Front), D=Yellow (Down), L=Orange (Left), B=Blue (Back).\n\nThe diagram is laid out as follows:\n- The first 3 lines (indented) are the U (Up) face.\n- The next 3 lines each hold four space-separated 3-sticker groups. Left to right, these groups are the L (Left), F (Front), R (Right) and B (Back) faces.\n- The last 3 lines (indented) are the D (Down) face.\n\nEach face's rows and columns are oriented as they appear once the cube is folded up:\n- U: its first line is the row touching B, and its last line is the row touching F.\n- D: its first line is the row touching F, and its last line is the row touching B.\n- L, F, R and B: the first line of each is the row touching U.\n- Reading a line from left to right: U, F and D run from L to R; R runs from F to B; L runs from B to F; and B runs from R to L.\n\n U D B\n U U B\n U U B\nR L L F F D L L L U B F\nR L L F F D R R R U B F\nR L L F F D R R R U B F\n D D B\n D D B\n D U B\n\nGive the sequence of moves that returns this cube to a fully solved state (all 9 stickers on each face matching).\nRespond with only the move sequence in standard notation: a space-separated list of face letters (U, D, L, R, F, or B), each optionally followed by ' for a counterclockwise turn or 2 for a double turn. Do not copy any example — work out the actual sequence for the cube shown above.\nDo not include any explanation, commentary, or code." }, { "depth": 6, "index": 0, "facelets": "UUFBUFLFRDLLURRBBBURFUFBUUDRRLBDLBDLBDFLLFRRFDLRDBDUFD", "prompt": "Below is a scrambled Rubik's Cube, shown unfolded with all 6 faces visible. Each face is a 3x3 grid of stickers. Each letter names a sticker's color, using the face it belongs on when the cube is solved: U=White (Up), R=Red (Right), F=Green (Front), D=Yellow (Down), L=Orange (Left), B=Blue (Back).\n\nThe diagram is laid out as follows:\n- The first 3 lines (indented) are the U (Up) face.\n- The next 3 lines each hold four space-separated 3-sticker groups. Left to right, these groups are the L (Left), F (Front), R (Right) and B (Back) faces.\n- The last 3 lines (indented) are the D (Down) face.\n\nEach face's rows and columns are oriented as they appear once the cube is folded up:\n- U: its first line is the row touching B, and its last line is the row touching F.\n- D: its first line is the row touching F, and its last line is the row touching B.\n- L, F, R and B: the first line of each is the row touching U.\n- Reading a line from left to right: U, F and D run from L to R; R runs from F to B; L runs from B to F; and B runs from R to L.\n\n U U F\n B U F\n L F R\nB D F U R F D L L D L R\nL L F U F B U R R D B D\nR R F U U D B B B U F D\n R R L\n B D L\n B D L\n\nGive the sequence of moves that returns this cube to a fully solved state (all 9 stickers on each face matching).\nRespond with only the move sequence in standard notation: a space-separated list of face letters (U, D, L, R, F, or B), each optionally followed by ' for a counterclockwise turn or 2 for a double turn. Do not copy any example — work out the actual sequence for the cube shown above.\nDo not include any explanation, commentary, or code." }, { "depth": 6, "index": 1, "facelets": "BUDUUDUUFLBBRRRRRBRRUFFBFFFDDDDDDLLULFFULLULLRBDFBLRBB", "prompt": "Below is a scrambled Rubik's Cube, shown unfolded with all 6 faces visible. Each face is a 3x3 grid of stickers. Each letter names a sticker's color, using the face it belongs on when the cube is solved: U=White (Up), R=Red (Right), F=Green (Front), D=Yellow (Down), L=Orange (Left), B=Blue (Back).\n\nThe diagram is laid out as follows:\n- The first 3 lines (indented) are the U (Up) face.\n- The next 3 lines each hold four space-separated 3-sticker groups. Left to right, these groups are the L (Left), F (Front), R (Right) and B (Back) faces.\n- The last 3 lines (indented) are the D (Down) face.\n\nEach face's rows and columns are oriented as they appear once the cube is folded up:\n- U: its first line is the row touching B, and its last line is the row touching F.\n- D: its first line is the row touching F, and its last line is the row touching B.\n- L, F, R and B: the first line of each is the row touching U.\n- Reading a line from left to right: U, F and D run from L to R; R runs from F to B; L runs from B to F; and B runs from R to L.\n\n B U D\n U U D\n U U F\nL F F R R U L B B R B D\nU L L F F B R R R F B L\nU L L F F F R R B R B B\n D D D\n D D D\n L L U\n\nGive the sequence of moves that returns this cube to a fully solved state (all 9 stickers on each face matching).\nRespond with only the move sequence in standard notation: a space-separated list of face letters (U, D, L, R, F, or B), each optionally followed by ' for a counterclockwise turn or 2 for a double turn. Do not copy any example — work out the actual sequence for the cube shown above.\nDo not include any explanation, commentary, or code." }, { "depth": 6, "index": 2, "facelets": "BBFUUFLLBLURLRRBBDFFDFFDRRRUDDUDDFRRULDRLDUBBULLBBUFFL", "prompt": "Below is a scrambled Rubik's Cube, shown unfolded with all 6 faces visible. Each face is a 3x3 grid of stickers. Each letter names a sticker's color, using the face it belongs on when the cube is solved: U=White (Up), R=Red (Right), F=Green (Front), D=Yellow (Down), L=Orange (Left), B=Blue (Back).\n\nThe diagram is laid out as follows:\n- The first 3 lines (indented) are the U (Up) face.\n- The next 3 lines each hold four space-separated 3-sticker groups. Left to right, these groups are the L (Left), F (Front), R (Right) and B (Back) faces.\n- The last 3 lines (indented) are the D (Down) face.\n\nEach face's rows and columns are oriented as they appear once the cube is folded up:\n- U: its first line is the row touching B, and its last line is the row touching F.\n- D: its first line is the row touching F, and its last line is the row touching B.\n- L, F, R and B: the first line of each is the row touching U.\n- Reading a line from left to right: U, F and D run from L to R; R runs from F to B; L runs from B to F; and B runs from R to L.\n\n B B F\n U U F\n L L B\nU L D F F D L U R U L L\nR L D F F D L R R B B U\nU B B R R R B B D F F L\n U D D\n U D D\n F R R\n\nGive the sequence of moves that returns this cube to a fully solved state (all 9 stickers on each face matching).\nRespond with only the move sequence in standard notation: a space-separated list of face letters (U, D, L, R, F, or B), each optionally followed by ' for a counterclockwise turn or 2 for a double turn. Do not copy any example — work out the actual sequence for the cube shown above.\nDo not include any explanation, commentary, or code." }, { "depth": 20, "index": 0, "facelets": "LDBBURDFRFBLDRRRFRBRUFFLBLDRBBUDDUUFFULULLLLUUBDDBFDRF", "prompt": "Below is a scrambled Rubik's Cube, shown unfolded with all 6 faces visible. Each face is a 3x3 grid of stickers. Each letter names a sticker's color, using the face it belongs on when the cube is solved: U=White (Up), R=Red (Right), F=Green (Front), D=Yellow (Down), L=Orange (Left), B=Blue (Back).\n\nThe diagram is laid out as follows:\n- The first 3 lines (indented) are the U (Up) face.\n- The next 3 lines each hold four space-separated 3-sticker groups. Left to right, these groups are the L (Left), F (Front), R (Right) and B (Back) faces.\n- The last 3 lines (indented) are the D (Down) face.\n\nEach face's rows and columns are oriented as they appear once the cube is folded up:\n- U: its first line is the row touching B, and its last line is the row touching F.\n- D: its first line is the row touching F, and its last line is the row touching B.\n- L, F, R and B: the first line of each is the row touching U.\n- Reading a line from left to right: U, F and D run from L to R; R runs from F to B; L runs from B to F; and B runs from R to L.\n\n L D B\n B U R\n D F R\nF U L B R U F B L U B D\nU L L F F L D R R D B F\nL L U B L D R F R D R F\n R B B\n U D D\n U U F\n\nGive the sequence of moves that returns this cube to a fully solved state (all 9 stickers on each face matching).\nRespond with only the move sequence in standard notation: a space-separated list of face letters (U, D, L, R, F, or B), each optionally followed by ' for a counterclockwise turn or 2 for a double turn. Do not copy any example — work out the actual sequence for the cube shown above.\nDo not include any explanation, commentary, or code." }, { "depth": 20, "index": 1, "facelets": "LDULUFBDRBLFRRRFBULBDRFFUDDLRRUDUFDRFBDULBUFBRLDUBLBFL", "prompt": "Below is a scrambled Rubik's Cube, shown unfolded with all 6 faces visible. Each face is a 3x3 grid of stickers. Each letter names a sticker's color, using the face it belongs on when the cube is solved: U=White (Up), R=Red (Right), F=Green (Front), D=Yellow (Down), L=Orange (Left), B=Blue (Back).\n\nThe diagram is laid out as follows:\n- The first 3 lines (indented) are the U (Up) face.\n- The next 3 lines each hold four space-separated 3-sticker groups. Left to right, these groups are the L (Left), F (Front), R (Right) and B (Back) faces.\n- The last 3 lines (indented) are the D (Down) face.\n\nEach face's rows and columns are oriented as they appear once the cube is folded up:\n- U: its first line is the row touching B, and its last line is the row touching F.\n- D: its first line is the row touching F, and its last line is the row touching B.\n- L, F, R and B: the first line of each is the row touching U.\n- Reading a line from left to right: U, F and D run from L to R; R runs from F to B; L runs from B to F; and B runs from R to L.\n\n L D U\n L U F\n B D R\nF B D L B D B L F R L D\nU L B R F F R R R U B L\nU F B U D D F B U B F L\n L R R\n U D U\n F D R\n\nGive the sequence of moves that returns this cube to a fully solved state (all 9 stickers on each face matching).\nRespond with only the move sequence in standard notation: a space-separated list of face letters (U, D, L, R, F, or B), each optionally followed by ' for a counterclockwise turn or 2 for a double turn. Do not copy any example — work out the actual sequence for the cube shown above.\nDo not include any explanation, commentary, or code." }, { "depth": 20, "index": 2, "facelets": "FDBFURRLFLDDLRDBRDFBUFFUFBUDURLDULBBRLUFLUUDLLBDFBRRRB", "prompt": "Below is a scrambled Rubik's Cube, shown unfolded with all 6 faces visible. Each face is a 3x3 grid of stickers. Each letter names a sticker's color, using the face it belongs on when the cube is solved: U=White (Up), R=Red (Right), F=Green (Front), D=Yellow (Down), L=Orange (Left), B=Blue (Back).\n\nThe diagram is laid out as follows:\n- The first 3 lines (indented) are the U (Up) face.\n- The next 3 lines each hold four space-separated 3-sticker groups. Left to right, these groups are the L (Left), F (Front), R (Right) and B (Back) faces.\n- The last 3 lines (indented) are the D (Down) face.\n\nEach face's rows and columns are oriented as they appear once the cube is folded up:\n- U: its first line is the row touching B, and its last line is the row touching F.\n- D: its first line is the row touching F, and its last line is the row touching B.\n- L, F, R and B: the first line of each is the row touching U.\n- Reading a line from left to right: U, F and D run from L to R; R runs from F to B; L runs from B to F; and B runs from R to L.\n\n F D B\n F U R\n R L F\nR L U F B U L D D L B D\nF L U F F U L R D F B R\nU D L F B U B R D R R B\n D U R\n L D U\n L B B\n\nGive the sequence of moves that returns this cube to a fully solved state (all 9 stickers on each face matching).\nRespond with only the move sequence in standard notation: a space-separated list of face letters (U, D, L, R, F, or B), each optionally followed by ' for a counterclockwise turn or 2 for a double turn. Do not copy any example — work out the actual sequence for the cube shown above.\nDo not include any explanation, commentary, or code." }, { "depth": 100, "index": 0, "facelets": "BDRRURUFFRFUBRBBDLLUDDFUDBUBRRRDBLUFDUBFLFDDLFLRLBLULF", "prompt": "Below is a scrambled Rubik's Cube, shown unfolded with all 6 faces visible. Each face is a 3x3 grid of stickers. Each letter names a sticker's color, using the face it belongs on when the cube is solved: U=White (Up), R=Red (Right), F=Green (Front), D=Yellow (Down), L=Orange (Left), B=Blue (Back).\n\nThe diagram is laid out as follows:\n- The first 3 lines (indented) are the U (Up) face.\n- The next 3 lines each hold four space-separated 3-sticker groups. Left to right, these groups are the L (Left), F (Front), R (Right) and B (Back) faces.\n- The last 3 lines (indented) are the D (Down) face.\n\nEach face's rows and columns are oriented as they appear once the cube is folded up:\n- U: its first line is the row touching B, and its last line is the row touching F.\n- D: its first line is the row touching F, and its last line is the row touching B.\n- L, F, R and B: the first line of each is the row touching U.\n- Reading a line from left to right: U, F and D run from L to R; R runs from F to B; L runs from B to F; and B runs from R to L.\n\n B D R\n R U R\n U F F\nD U B L U D R F U F L R\nF L F D F U B R B L B L\nD D L D B U B D L U L F\n B R R\n R D B\n L U F\n\nGive the sequence of moves that returns this cube to a fully solved state (all 9 stickers on each face matching).\nRespond with only the move sequence in standard notation: a space-separated list of face letters (U, D, L, R, F, or B), each optionally followed by ' for a counterclockwise turn or 2 for a double turn. Do not copy any example — work out the actual sequence for the cube shown above.\nDo not include any explanation, commentary, or code." }, { "depth": 100, "index": 1, "facelets": "BFUFUBUDLFRLLRRRRUBLDBFUFLDRFBBDDLUFLURULLUDDFDDFBBRRB", "prompt": "Below is a scrambled Rubik's Cube, shown unfolded with all 6 faces visible. Each face is a 3x3 grid of stickers. Each letter names a sticker's color, using the face it belongs on when the cube is solved: U=White (Up), R=Red (Right), F=Green (Front), D=Yellow (Down), L=Orange (Left), B=Blue (Back).\n\nThe diagram is laid out as follows:\n- The first 3 lines (indented) are the U (Up) face.\n- The next 3 lines each hold four space-separated 3-sticker groups. Left to right, these groups are the L (Left), F (Front), R (Right) and B (Back) faces.\n- The last 3 lines (indented) are the D (Down) face.\n\nEach face's rows and columns are oriented as they appear once the cube is folded up:\n- U: its first line is the row touching B, and its last line is the row touching F.\n- D: its first line is the row touching F, and its last line is the row touching B.\n- L, F, R and B: the first line of each is the row touching U.\n- Reading a line from left to right: U, F and D run from L to R; R runs from F to B; L runs from B to F; and B runs from R to L.\n\n B F U\n F U B\n U D L\nL U R B L D F R L F D D\nU L L B F U L R R F B B\nU D D F L D R R U R R B\n R F B\n B D D\n L U F\n\nGive the sequence of moves that returns this cube to a fully solved state (all 9 stickers on each face matching).\nRespond with only the move sequence in standard notation: a space-separated list of face letters (U, D, L, R, F, or B), each optionally followed by ' for a counterclockwise turn or 2 for a double turn. Do not copy any example — work out the actual sequence for the cube shown above.\nDo not include any explanation, commentary, or code." }, { "depth": 100, "index": 2, "facelets": "BLBDUFLBUFRRRRBUUDDDLUFURLRFBBLDBLLRURBFLFDDUDFLRBDFUF", "prompt": "Below is a scrambled Rubik's Cube, shown unfolded with all 6 faces visible. Each face is a 3x3 grid of stickers. Each letter names a sticker's color, using the face it belongs on when the cube is solved: U=White (Up), R=Red (Right), F=Green (Front), D=Yellow (Down), L=Orange (Left), B=Blue (Back).\n\nThe diagram is laid out as follows:\n- The first 3 lines (indented) are the U (Up) face.\n- The next 3 lines each hold four space-separated 3-sticker groups. Left to right, these groups are the L (Left), F (Front), R (Right) and B (Back) faces.\n- The last 3 lines (indented) are the D (Down) face.\n\nEach face's rows and columns are oriented as they appear once the cube is folded up:\n- U: its first line is the row touching B, and its last line is the row touching F.\n- D: its first line is the row touching F, and its last line is the row touching B.\n- L, F, R and B: the first line of each is the row touching U.\n- Reading a line from left to right: U, F and D run from L to R; R runs from F to B; L runs from B to F; and B runs from R to L.\n\n B L B\n D U F\n L B U\nU R B D D L F R R D F L\nF L F U F U R R B R B D\nD D U R L R U U D F U F\n F B B\n L D B\n L L R\n\nGive the sequence of moves that returns this cube to a fully solved state (all 9 stickers on each face matching).\nRespond with only the move sequence in standard notation: a space-separated list of face letters (U, D, L, R, F, or B), each optionally followed by ' for a counterclockwise turn or 2 for a double turn. Do not copy any example — work out the actual sequence for the cube shown above.\nDo not include any explanation, commentary, or code." } ]