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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n W Y Y \n W W W \n O Y R \n\n LEFT FRONT RIGHT BACK \n G B W B B Y B R R G G O \n O O R G G O Y R B R B B \n R G Y O O O Y Y G W G B \n\n BOTTOM \n G W B \n W Y R \n W O R\n\n Cube Value: 0.1593\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nI need to solve this 3x3x3 Rubik's cube. The cube has a value of 0.1593, which means it's not solved. I can see the current state of all faces:\n\nTop face (UP): W Y Y / W W W / O Y R\nFront face: B B Y / G G O / O O O\nRight face: B R R / Y R B / Y Y G\nBack face: G G O / R B B / W G B\nLeft face: G B W / O O R / R G Y\nBottom face (DOWN): G W B / W Y R / W O R\n\nSince I'm instructed not to think too much and just take an action, I'll make a reasonable first move towards solving the cube. A common first step is to organize pieces to form a cross on one face. I notice there are white pieces on the top face, so I'll try to work with those.\n\nLet me start with a simple move to see how it affects the cube.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n W Y Y \n W W W \n Y R W \n\n LEFT FRONT RIGHT BACK \n G B G O G B O R R G G O \n O O W O G B Y R B R B B \n R G B O O Y R Y G W G B \n\n BOTTOM \n Y Y B \n W Y R \n W O R\n\nCube value: 0.184\n",
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"content": "<think>\n\nLooking at the cube configuration, I need to determine the next move to make progress toward solving it. The cube has a value of 0.1593, indicating it's not solved.\n\nLet me analyze the current state:\n- Top layer: Has a white cross but edges aren't correctly oriented\n- Middle layer: Needs to be solved\n- Bottom layer: Some white pieces need to be positioned correctly\n\nI should start with a basic approach. Let me try a simple move to see how the cube changes and make progress toward solving the bottom layer first.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n W Y Y \n W W W \n B W G \n\n LEFT FRONT RIGHT BACK \n G B Y O O O Y R R G G O \n O O Y O G G R R B R B B \n R G B Y B B W Y G W G B \n\n BOTTOM \n R Y O \n W Y R \n W O R\n\nCube value: 0.2111\n",
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n W R B \n O W W \n W Y W \n\n LEFT FRONT RIGHT BACK \n O G O G B R B G Y O G B \n B O W B G Y G R W R B O \n W O G R Y R B B G Y Y G \n\n BOTTOM \n Y R Y \n W Y R \n R O O\n\n Cube Value: 0.1716\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nLet me analyze the cube state:\n\nUP face: W, R, B / O, W, W / W, Y, W\nLEFT face: O, G, O / B, O, W / W, O, G\nFRONT face: G, B, R / B, G, Y / R, Y, R\nRIGHT face: B, G, Y / G, R, W / B, B, G\nBACK face: O, G, B / R, B, O / Y, Y, G\nDOWN face: Y, R, Y / W, Y, R / R, O, O\n\nThe cube value is 0.1716, which means it's not solved. Looking at the UP face, I see white pieces but they're not forming a proper cross yet. \n\nI need to start solving the cube by first creating a white cross on the UP face. Let me look for white edge pieces that need to be moved into position. I see there's a white piece on the LEFT face (middle row) and some white pieces on the UP face.\n\nLet me make a move to help position white edge pieces. I'll try a basic rotation to start organizing the cube.\n\n</think>\n<action>\nF R U R' U' F'\n</action>\n",
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"content": " TOP \n B W O \n O W B \n W G O \n\n LEFT FRONT RIGHT BACK \n O G R B R G W Y W B G Y \n B O W B G Y G R W R B O \n W O G R Y R B B G Y Y G \n\n BOTTOM \n Y R Y \n W Y R \n R O O\n\nCube value: 0.0864\n",
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"content": "<think>\n\nLooking at the cube state after the previous move, the cube value decreased from 0.1716 to 0.0864, which is good progress. Let me analyze the current state:\n\nTop face: B W O / O R B / W G O\nFront face: B R G / B G Y / R Y R \nBottom face: Y R Y / W Y R / R O O\n\nI can see that the white pieces are still not properly aligned on the top face. Let me try a different approach to help organize the pieces. I'll try a standard F2L (First Two Layers) algorithm to help get some pieces in the right places.\n\n</think>\n<action>\nF U R U' R' F'\n</action>\n",
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"content": " TOP \n W R B \n O W W \n W Y W \n\n LEFT FRONT RIGHT BACK \n O G O G B R B G Y O G B \n B O W B G Y G R W R B O \n W O G R Y R B B G Y Y G \n\n BOTTOM \n Y R Y \n W Y R \n R O O\n\nCube value: 0.1716\n",
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n B W W \n W W W \n B G G \n\n LEFT FRONT RIGHT BACK \n W R Y O O Y R G O G B O \n B O R Y G O Y R W O B R \n R Y B Y R R G B G Y Y B \n\n BOTTOM \n R G W \n G Y O \n W B O\n\n Cube Value: 0.1136\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nI need to solve this 3x3x3 Rubik's cube. The cube is currently scrambled with a cube value of 0.1136 (where 1 is solved). Let me analyze the current state:\n\nTOP face (UP):\nB W W\nW W W\nB G G\n\nLEFT face:\nW R Y\nB O R\nR Y B\n\nFRONT face:\nO O Y\nY G O\nY R R\n\nRIGHT face:\nR G O\nY R W\nG B G\n\nBACK face:\nG B O\nO B R\nY Y B\n\nBOTTOM face (DOWN):\nR G W\nG Y O\nW B O\n\nSince I'm told not to think too much and just take action, I'll start with some basic moves to begin the solving process. I'll try a few basic moves to see how the cube responds.\n\n</think>\n<action>\nR' L2 U D' F B'2 R' L\n</action>\n",
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"content": " TOP \n B W R \n O W Y \n Y B W \n\n LEFT FRONT RIGHT BACK \n Y B O B R B O R B W R R \n R O O G G W B R Y B B G \n R O Y G W W G O Y O Y W \n\n BOTTOM \n R G O \n Y Y W \n G G G\n\nCube value: 0.1654\n",
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"content": "<think>\n\nLooking at the current cube state:\n- Top face: B W R / O W Y / Y B W\n- Front face: B R B / G G W / B R Y\n- Right face: O R B / B R Y / G O Y\n- Back face: W R R / B B G / O Y W\n- Left face: Y B O / R O O / R O Y\n- Bottom face: R G O / Y Y W / G G G\n\nThe cube value is 0.1654, which means it's not solved. I need to make a move to start solving it. Let me try a basic move to see how it affects the cube configuration.\n\nI'll try a simple R move to rotate the right face clockwise.\n\n</think>\n<action>\nR\n</action>\n",
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"content": " TOP \n B W B \n O W W \n Y B W \n\n LEFT FRONT RIGHT BACK \n Y B O B R O G B O W R R \n R O O G G W O R R Y B G \n R O Y G W G Y Y B R Y W \n\n BOTTOM \n R G O \n Y Y B \n G G W\n\nCube value: 0.1716\n",
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"content": "<think>\n\nI need to analyze the current cube state and determine what move to make next to solve it. Let me examine the cube:\n\nTOP face: B W B\n O W W\n Y B W\n\nLEFT face: Y B O\n R O O\n R O Y\n\nFRONT face: B R O\n G G W\n G W G\n\nRIGHT face: G B O\n O R R\n Y Y B\n\nBACK face: W R R\n Y B G\n R Y W\n\nBOTTOM face: R G O\n Y Y B\n G G W\n\nCube value: 0.1716\n\nThe cube is still quite scrambled. I need to think about what approach to take for solving a Rubik's cube. Typically, the first step is to solve a cross on one face, usually white or yellow. Looking at the current state:\n\n- The TOP face has B, W, B in the top row\n- The BOTTOM face has G, G, W in the bottom row\n\nI notice there are some white pieces scattered around. Let me try to work on getting white pieces to the top or bottom to form a cross.\n\nLooking at the cube, I see white pieces on:\n- TOP face: 2 white pieces\n- FRONT face: 1 white piece (bottom right)\n- RIGHT face: 1 white piece (bottom middle)\n- BOTTOM face: 1 white piece (bottom right)\n\nMaybe I should try to get more white pieces organized. Let me try a move that might help position white pieces better.\n\nI'll try an F move to see what happens.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n B W B \n O W W \n Y O O \n\n LEFT FRONT RIGHT BACK \n Y B R G G B Y B O W R R \n R O G W G R B R R Y B G \n R O O G W O W Y B R Y W \n\n BOTTOM \n Y O G \n Y Y B \n G G W\n\nCube value: 0.1654\n",
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"content": "<think>\n\nLooking at the current cube state, I need to analyze what's happening and plan the next move to solve it. Let me think about the current state:\n\n1. The cube value has increased slightly from 0.1654 to 0.1716 after the R move, then decreased back to 0.1654 after the F move.\n\n2. Let me analyze the faces:\n - TOP: B W B / O W W / Y O O\n - FRONT: G G B / W G R / G W O\n - BOTTOM: Y O G / Y Y B / G G W\n\nI notice that the bottom layer has some progress - the bottom right corner (G G W) looks closer to being solved. The center of the bottom face is G, which is correct for a solved cube.\n\nLet me try to work on getting the bottom layer properly aligned. I should probably try to get the white cross on bottom first, or work on positioning corners correctly.\n\nLooking at the cube, I notice that the bottom face has:\n- Center: G (correct)\n- Bottom right corner: G G W - this has the correct colors for the corner (Green, Green, White)\n- Bottom middle right: W - this should be part of the white cross\n\nLet me try a move that might help organize the bottom layer better. I'll try a D move to rotate the bottom layer.\n\n</think>\n<action>\nD\n</action>\n",
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"content": " TOP \n B W B \n O W W \n Y O O \n\n LEFT FRONT RIGHT BACK \n Y B R G G B Y B O W R R \n R O G W G R B R R Y B G \n R Y W R O O G W O W Y B \n\n BOTTOM \n G Y Y \n G Y O \n W B G\n\nCube value: 0.0864\n",
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n O W B \n B W W \n Y G O \n\n LEFT FRONT RIGHT BACK \n G O B R O B Y R W R G Y \n W O G R G B Y R R Y B B \n R O O B W O W B Y G Y W \n\n BOTTOM \n W O G \n Y Y R \n G G R\n\n Cube Value: 0.1593\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nLooking at the cube state, I need to understand the color scheme first. From the centers:\n- TOP center: W (white)\n- FRONT center: G (green) \n- RIGHT center: R (red)\n- BACK center: B (blue)\n- LEFT center: O (orange)\n- BOTTOM center: G (green)\n\nI notice FRONT and BOTTOM both have green centers, which is unusual. Let me start solving by first trying to get a white cross on top. I'll begin with a simple move to see how the cube responds.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n O W B \n B W W \n O G B \n\n LEFT FRONT RIGHT BACK \n G O W B R R Y R W R G Y \n W O O W G O G R R Y B B \n R O G O B B O B Y G Y W \n\n BOTTOM \n W Y Y \n Y Y R \n G G R\n\nCube value: 0.1716\n",
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"content": "<think>\n\nLooking at the cube state, I need to determine the next move to solve it. The cube value increased slightly from 0.1593 to 0.1716, which means the move I made (F) didn't improve the state much.\n\nLet me analyze the current cube:\n- TOP: Orange center with white, blue, and green pieces\n- BOTTOM: White center with yellow, green, and red pieces\n- The cube is quite scrambled\n\nFor a standard Rubik's cube solve, a common first step is to solve a cross on one face. Since the bottom face has a white center, I should aim to get white pieces to form a cross on the bottom.\n\nLooking at the current state, I see white pieces in various positions. I should try to move white pieces toward the bottom face.\n\nLet me try a different approach. Maybe I should try to solve the white cross on the bottom face. I'll try a move that might help position white pieces better.\n\nLet me try R (Right face clockwise) to see if it helps position some white pieces.\n\n</think>\n<action>\nR\n</action>\n",
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"content": " TOP \n O W R \n B W O \n O G B \n\n LEFT FRONT RIGHT BACK \n G O W B R Y O G Y B G Y \n W O O W G R B R R W B B \n R O G O B R Y R W B Y W \n\n BOTTOM \n W Y G \n Y Y Y \n G G R\n\nCube value: 0.1778\n",
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n O R O \n W W O \n W B G \n\n LEFT FRONT RIGHT BACK \n Y G B O Y W O G Y G W B \n B O O B G R G R Y R B R \n R O B Y O R G W R W Y G \n\n BOTTOM \n R W W \n Y Y B \n Y G B\n\n Cube Value: 0.1198\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nLooking at the cube state, I need to analyze the current configuration and determine the next move to solve it. The cube has a value of 0.1198, which means it's not solved.\n\nLet me understand the current state:\n- TOP face: Orange, Red, Orange in first row; White, White, Orange in second row; White, Blue, Green in third row\n- LEFT face: Yellow, Green, Blue in first row; Blue, Orange, Orange in second row; Red, Orange, Blue in third row\n- FRONT face: Orange, Yellow, White in first row; Blue, Green, Red in second row; Yellow, Orange, Red in third row\n- RIGHT face: Orange, Green, Yellow in first row; Green, Red, Yellow in second row; Green, White, Red in third row\n- BACK face: Green, White, Blue in first row; Red, Blue, Red in second row; White, Yellow, Green in third row\n- BOTTOM face: Red, White, White in first row; Yellow, Yellow, Blue in second row; Yellow, Green, Blue in third row\n\nSince this is a complex scramble, I should start with a basic move to understand how the cube responds. Let me try a simple right face rotation.\n\n</think>\n<action>\nR\n</action>\n",
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"content": " TOP \n O R W \n W W R \n W B R \n\n LEFT FRONT RIGHT BACK \n Y G B O Y W G G O G W B \n B O O B G B W R G O B R \n R O B Y O B R Y Y O Y G \n\n BOTTOM \n R W W \n Y Y R \n Y G G\n\nCube value: 0.1259\n",
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"content": "<think>\n\nLooking at the current cube state, I can see it's not solved (cube value is 0.1259, not 1). The top face has some white pieces but not a complete white cross. Let me try a simple move to start solving the cube. I'll try an R move to see how it affects the pieces.\n\n</think>\n<action>\nR\n</action>\n",
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"content": " TOP \n O R W \n W W B \n W B B \n\n LEFT FRONT RIGHT BACK \n Y G B O Y W R W G R W B \n B O O B G R Y R G R B R \n R O B Y O G Y G O W Y G \n\n BOTTOM \n R W O \n Y Y O \n Y G G\n\nCube value: 0.1321\n",
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"content": "<think>\n\nThe cube state has changed after the R' and R moves. Let me analyze the current state:\n\nTOP: O R W / W W B / W B B\nFRONT: O Y W / B G R / Y O G\nRIGHT: R W G / Y R G / Y G O\nBACK: R W B / R B R / W Y G\nLEFT: Y G B / B O O / R O B\nBOTTOM: R W O / Y Y O / Y G G\n\nThe cube value has increased from 0.1198 to 0.1321, which means we're getting further from the solved state. I need to try a different approach.\n\nLet me try to work on getting the white cross on top, which is typically the first step in the CFOP method. I should try to position white edge pieces correctly.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n O R W \n W W B \n B O B \n\n LEFT FRONT RIGHT BACK \n Y G R Y B O W W G R W B \n B O W O G Y B R G R B R \n R O O G R W B G O W Y G \n\n BOTTOM \n Y Y R \n Y Y O \n Y G G\n\nCube value: 0.1654\n",
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[
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n B G B \n G W O \n Y Y B \n\n LEFT FRONT RIGHT BACK \n O Y R G B W R W R Y R Y \n W O G O G R Y R B W B G \n O W W R B W O O G Y B G \n\n BOTTOM \n G O B \n R Y Y \n W R O\n\n Cube Value: 0.0802\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nI need to solve a 3x3x3 Rubik's cube. The cube is scrambled with a cube value of 0.0802 (not solved). Let me analyze the cube state:\n\nTOP face: B G B / G W O / Y Y B\nLEFT face: O Y R / W O G / O W W\nFRONT face: G B W / O G R / R B W\nRIGHT face: R W R / Y R B / O O G\nBACK face: Y R Y / W B G / Y B G\nBOTTOM face: G O B / R Y Y / W R O\n\nSince I'm instructed not to think too much and just take the next step, I'll start with a basic move to begin solving the cube. I'll try to create a cross on one of the faces. Let me start with a simple R move to see how it affects the cube.\n\n</think>\n<action>\nR\n</action>\n",
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"content": " TOP \n B G W \n G W R \n Y Y W \n\n LEFT FRONT RIGHT BACK \n O Y R G B B O Y R B R Y \n W O G O G Y O R W O B G \n O W W R B O G B R B B G \n\n BOTTOM \n G O Y \n R Y W \n W R Y\n\nCube value: 0.1778\n",
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"content": "<think>\n\nLooking at the current cube state, I can see it's not solved. The cube value is 0.1778, which means it's far from being solved (1.0 would be solved).\n\nLet me analyze the cube:\n- Top face (U): B G W, G W R, Y Y W\n- Bottom face (D): G O Y, R Y W, W R Y\n- The cube appears to have colors scattered across all faces\n\nFor a beginner approach to solving a Rubik's cube, I typically start by:\n1. Solving a cross on one face (usually white or yellow)\n2. Then solving the corners of that face\n3. Then solving the middle layer edges\n4. Then solving the top face cross\n5. Then orienting the top corners\n6. Then positioning the top corners\n7. Finally positioning the top edges\n\nSince the cube value is quite low (0.1778), I need to make a significant move to start solving it. Let me try a basic move to see how the cube responds and get a better understanding of its current state.\n\nI'll start with a simple R move to see how it affects the cube.\n\n</think>\n<action>\nR\n</action>\n",
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"content": " TOP \n B G B \n G W Y \n Y Y O \n\n LEFT FRONT RIGHT BACK \n O Y R G B Y G O O W R Y \n W O G O G W B R Y R B G \n O W W R B Y R W R W B G \n\n BOTTOM \n G O B \n R Y O \n W R B\n\nCube value: 0.0741\n",
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"content": "<think>\n\nThe cube state has changed. Let me analyze the current state:\n\nTOP: B G B / G W Y / Y Y O\nFRONT: G B Y / O G W / R B Y\nRIGHT: G O O / B R Y / R W R\nBACK: W R Y / R B G / W B G\nLEFT: O Y R / W O G / O W W\nBOTTOM: G O B / R Y O / W R B\n\nCube value is 0.0741, which is slightly better than the previous 0.0802.\n\nI need to think about what move to make next. Since this is a complex cube, I should focus on solving one layer at a time. Typically, I'd start with the bottom layer (D face), but looking at the current state, it's quite mixed.\n\nLet me try to work on getting a consistent color on the bottom layer. I notice the bottom layer has G, O, B on the first row, R, Y, O on the second, and W, R, B on the third. It's quite mixed.\n\nLet me try a move that might help organize the bottom layer. I'll try a D move to see if it helps.\n\n</think>\n<action>\nD\n</action>\n",
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"content": " TOP \n B G B \n G W Y \n Y Y O \n\n LEFT FRONT RIGHT BACK \n O Y R G B Y G O O W R Y \n W O G O G W B R Y R B G \n W B G O W W R B Y R W R \n\n BOTTOM \n W R G \n R Y O \n B O B\n\nCube value: 0.0556\n",
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[
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
"role": "system"
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n Y Y R \n R W W \n Y G W \n\n LEFT FRONT RIGHT BACK \n G B O B Y O G G W G B R \n R O O W G O Y R G O B W \n B B O B Y Y O G B R O R \n\n BOTTOM \n W R G \n W Y R \n Y B W\n\n Cube Value: 0.0802\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nI need to solve a 3x3x3 Rubik's cube. The cube has a value of 0.0802, which means it's not solved. Let me analyze the current state of the cube:\n\nUP (top):\nY Y R\nR W W\nY G W\n\nLEFT (left side):\nG B O\nR O O\nB B O\n\nFRONT (front):\nG B O\nR O O\nB B O\n\nRIGHT (right side):\nG G W\nY R G\nO G B\n\nBACK (back):\nG B R\nO B W\nR O R\n\nDOWN (bottom):\nW R G\nW Y R\nY B W\n\nI'll start by trying to get the white cross on top. Let me try rotating the front face clockwise (F).\n\n</think>\n<action>\nF\n</action>\n",
"role": "assistant"
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"content": " TOP \n Y Y R \n R W W \n O O O \n\n LEFT FRONT RIGHT BACK \n G B W B W B Y G W G B R \n R O R Y G Y G R G O B W \n B B G Y O O W G B R O R \n\n BOTTOM \n O Y G \n W Y R \n Y B W\n\nCube value: 0.0617\n",
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"content": "<think>\n\nLooking at the current cube state, I can see that the cube value improved slightly from 0.0802 to 0.0617 after my F move. Let me analyze the current state:\n\nThe bottom face has:\n- O, Y, G on the first row\n- W, Y, R on the second row \n- Y, B, W on the third row\n\nThe top face has:\n- Y, Y, R on the first row\n- R, W, W on the second row\n- O, O, O on the third row\n\nI notice there are white pieces scattered around. Let me try to work on getting more white pieces to the bottom face. I'll try rotating the right face to see if I can position some white pieces better.\n\n</think>\n<action>\nR\n</action>\n",
"role": "assistant"
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"content": " TOP \n Y Y B \n R W Y \n O O O \n\n LEFT FRONT RIGHT BACK \n G B W B W G W G Y O B R \n R O R Y G R G R G W B W \n B B G Y O W B G W R O R \n\n BOTTOM \n O Y R \n W Y O \n Y B G\n\nCube value: 0.0617\n",
"role": "user"
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"content": "<think>\n\nThe cube state has changed slightly after the R move. Let me analyze the current state:\n\nTOP layer:\n- Y Y B\n- R W Y\n- O O O\n\nLEFT, FRONT, RIGHT, BACK faces are shown, and BOTTOM layer:\n- O Y R\n- W Y O\n- Y B G\n\nThe cube value is still 0.0617, which means we're still far from solved.\n\nI need to continue making moves to solve the cube. Since this is a complex cube state, I should focus on solving one layer at a time. Let me try to work on the bottom layer first.\n\nLooking at the bottom layer, I see colors O, Y, R, W, Y, O, Y, B, G. This suggests the bottom layer is not solved yet.\n\nLet me try a move that might help organize the pieces. I'll try a D move to rotate the bottom layer.\n\n</think>\n<action>\nD\n</action>\n",
"role": "assistant"
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"content": " TOP \n Y Y B \n R W Y \n O O O \n\n LEFT FRONT RIGHT BACK \n G B W B W G W G Y O B R \n R O R Y G R G R G W B W \n R O R B B G Y O W B G W \n\n BOTTOM \n Y W O \n B Y Y \n G O R\n\nCube value: 0.0802\n",
"role": "user"
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[
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
"role": "system"
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{
"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n O R W \n W W R \n Y W B \n\n LEFT FRONT RIGHT BACK \n Y O B R B W R W B O Y B \n G O Y B G G R R G Y B O \n W B R Y B O G Y G W W O \n\n BOTTOM \n G O Y \n R Y O \n G G R\n\n Cube Value: 0.1593\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
"role": "user"
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"content": "<think>\n\nI need to solve a 3x3x3 Rubik's cube. Looking at the cube configuration:\n\nTOP (UP):\nO R W\nW W R\nY W B\n\nFRONT:\nR B W\nB G G\nY B O\n\nRIGHT:\nR W B\nR R G\nG Y G\n\nBACK:\nO Y B\nY B O\nW W O\n\nLEFT:\nY O B\nG O Y\nW B R\n\nBOTTOM (DOWN):\nG O Y\nR Y O\nG G R\n\nThe cube value is 0.1593, which means it's not solved. I need to use the moves provided in the notation system to solve the cube.\n\nLooking at the cube, I can see that the white face (TOP) has some white pieces but also orange, red, and blue pieces. I should start by trying to get the white cross on top.\n\nLooking at the current state, there's a white-red edge on the top-front position and a white-blue edge on the top-right position. I think I should start with a move that will help me position these white pieces correctly.\n\nLet me try R' (counterclockwise rotation of the right face) to see what happens.\n\n</think>\n<action>\nR'\n</action>\n",
"role": "assistant"
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"content": " TOP \n O R W \n W W Y \n Y W O \n\n LEFT FRONT RIGHT BACK \n Y O B R B W B G G R Y B \n G O Y B G R W R Y O B O \n W B R Y B B R R G Y W O \n\n BOTTOM \n G O W \n R Y G \n G G O\n\nCube value: 0.1136\n",
"role": "user"
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"content": "<think>\n\nLooking at the current cube state after R' move:\n- Cube value improved from 0.1593 to 0.1136\n- Top layer has some white pieces but not a complete white cross\n- Bottom layer has mixed colors\n- Middle layers are scrambled\n\nSince the user said not to think too much and just take action, I should make a move that progresses toward solving the cube. A common first step in solving is to create a cross on one face. Let me try to work on the white cross on top.\n\nLooking at the top face (UP):\nO R W\nW W Y\nY W O\n\nThere are white pieces but they're not aligned properly. Let me try a move that might help position some white pieces better.\n\n</think>\n<action>\nF\n</action>\n",
"role": "assistant"
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"content": " TOP \n O R W \n W W Y \n R Y B \n\n LEFT FRONT RIGHT BACK \n Y O G Y B R Y G G R Y B \n G O O B G B W R Y O B O \n W B W B R W O R G Y W O \n\n BOTTOM \n R W B \n R Y G \n G G O\n\nCube value: 0.1074\n",
"role": "user"
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[
{
"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
"role": "system"
},
{
"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n R G R \n G W W \n R Y R \n\n LEFT FRONT RIGHT BACK \n Y O B W O W G R Y B W G \n W O Y R G R G R R B B O \n O G O B Y G Y B W G B B \n\n BOTTOM \n W B O \n Y Y W \n Y O O\n\n Cube Value: 0.2173\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nI need to solve this 3x3x3 Rubik's cube. The cube value is 0.2173, which means it's not solved (solved cube value is 1). Let me analyze the cube state:\n\nUP (TOP) face:\nR G R\nG W W\nR Y R\n\nFRONT face:\nW O W\nR G R\nB Y G\n\nLEFT face:\nY O B\nW O Y\nO G O\n\nRIGHT face:\nG R Y\nG R R\nY B W\n\nBACK face:\nB W G\nB B O\nG B B\n\nDOWN (BOTTOM) face:\nW B O\nY Y W\nY O O\n\nI need to start solving this cube. A common approach is to first solve the bottom layer (cross and corners), then middle layer, then top layer. Let me start by trying to get some white pieces on the bottom face since white is typically the bottom color in standard solving methods.\n\nLooking at the cube, I see white pieces on the UP, FRONT, and DOWN faces. Let me try to make some moves to get more white pieces positioned correctly.\n\nI'll start with a simple move sequence to see what happens.\n\n</think>\n<action>\nF R U R' U' F'\n</action>\n",
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"content": " TOP \n R W Y \n G W O \n R W B \n\n LEFT FRONT RIGHT BACK \n B O W G G W R Y R G R Y \n W O Y R G R G R R B B O \n O G O B Y G Y B W G B B \n\n BOTTOM \n W B O \n Y Y W \n Y O O\n\nCube value: 0.2358\n",
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"content": "<think>\n\nLooking at the current cube state:\n- Top face has white pieces but not forming a proper cross\n- White cross needs to be established first\n- The cube value increased from 0.2173 to 0.2358, which suggests the previous move didn't help much\n\nI need to focus on making a proper white cross on the top face. Let me try a move that might help position white edge pieces better.\n\nLooking at the top face:\nR W Y\nG W O\nR W B\n\nI can see white pieces on the top face but they're not aligned properly. I should try to position white edge pieces to form a cross.\n\nLet me try a move that might help create a better white cross pattern.\n\n</think>\n<action>\nR U R' U'\n</action>\n",
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"content": " TOP \n Y O B \n G W R \n R W G \n\n LEFT FRONT RIGHT BACK \n G O W G G O Y G R Y Y R \n W O Y R G W R R R B B O \n O G O B Y W B B W G B B \n\n BOTTOM \n W B R \n Y Y W \n Y O O\n\nCube value: 0.2235\n",
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"content": "<think>\n\nLet me analyze the current state of the cube. The cube value has decreased slightly from 0.2358 to 0.2235, which suggests my previous move (R U R' U') had some positive effect but wasn't optimal.\n\nLooking at the current state:\n- TOP face: Y O B / G W R / R W G\n- FRONT face: G G O / R G W / B Y W\n- RIGHT face: Y G R / R R R / B B W\n- BACK face: Y Y R / B B O / G B B\n- LEFT face: G O W / W O Y / O G O\n- BOTTOM face: W B R / Y Y W / Y O O\n\nI notice that the RIGHT face has three R's in the middle row (R R R), which is good progress. The cube seems to be getting closer to being solved.\n\nLet me try a different approach. I'll try to work on the white cross on top, which is typically the first step in the CFOP method. I'll use the F move to position pieces better.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n Y O B \n G W R \n O Y W \n\n LEFT FRONT RIGHT BACK \n G O W B R G R G R Y Y R \n W O B Y G G W R R B B O \n O G R W W O G B W G B B \n\n BOTTOM \n B R Y \n Y Y W \n Y O O\n\nCube value: 0.2235\n",
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n G O R \n G W Y \n R O G \n\n LEFT FRONT RIGHT BACK \n W R B W Y O Y G G Y W R \n B O R Y G G O R B O B Y \n O W Y B W B W W B Y R G \n\n BOTTOM \n O B O \n R Y G \n W B R\n\n Cube Value: 0.0494\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nI need to solve this Rubik's cube step by step. Let me first understand the current state:\n\nCurrent cube state:\n- TOP face: G O R, G W Y, R O G\n- LEFT face: W R B, B O R, O W Y \n- FRONT face: W Y O, Y G G, B W B\n- RIGHT face: Y G G, O R B, W W B\n- BACK face: Y W R, O B Y, Y R G\n- BOTTOM face: O B O, R Y G, W B R\n\nCube value is 0.0494, which means it's not solved.\n\nI should start by getting the white pieces on the bottom face. Currently, the bottom face has some white pieces but they're not all there yet.\n\nLet me try a simple move to see what happens. I'll start with R (right face clockwise).\n\n</think>\n<action>\nR\n</action>\n",
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"content": " TOP \n G O O \n G W G \n R O B \n\n LEFT FRONT RIGHT BACK \n W R B W Y O W O Y G W R \n B O R Y G G W R G Y B Y \n O W Y B W R B B G R R G \n\n BOTTOM \n O B Y \n R Y O \n W B Y\n\nCube value: 0.0617\n",
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"content": "<think>\n\nLooking at the cube state, I can see it's not solved (cube value 0.0617). The top face has green, orange, and blue pieces mixed together. I need to start solving this systematically.\n\nLet me analyze the current state:\n- Top face: G O O / G W G / R O B\n- Front face: W Y O / Y G G / B W R\n- Right face: W O Y / W R G / B B G\n- Back face: G W R / Y B Y / R R G\n- Left face: W R B / B O R / O W Y\n- Bottom face: O B Y / R Y O / W B Y\n\nI should start with making a cross on one face. Since I'm just beginning, I'll try to work on the top face. I notice there are some green pieces on the top face already. Let me try a simple move to see how it affects the cube.\n\nI'll start with a basic R move to see what happens.\n\n</think>\n<action>\nR\n</action>\n",
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"content": " TOP \n G O O \n G W G \n R O R \n\n LEFT FRONT RIGHT BACK \n W R B W Y Y B W W B W R \n B O R Y G O B R O G B Y \n O W Y B W Y G G Y O R G \n\n BOTTOM \n O B R \n R Y Y \n W B G\n\nCube value: 0.0556\n",
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"content": "<think>\n\nLooking at the current cube state, I need to determine what move would make progress toward solving it. The cube value is 0.0556, indicating it's quite scrambled. \n\nLet me analyze the current state:\n- No obvious solved sections or patterns\n- The cube is in a scrambled state\n- I need to make a move that will help progress toward solving\n\nSince I don't see any obvious patterns or sections that are close to being solved, I'll try a basic move to see how the cube changes. I'll start with a simple R move to rotate the right face clockwise.\n\n</think>\n<action>\nR\n</action>\n",
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"content": " TOP \n G O Y \n G W O \n R O Y \n\n LEFT FRONT RIGHT BACK \n W R B W Y R G B B R W R \n B O R Y G Y G R W G B Y \n O W Y B W G Y O W O R G \n\n BOTTOM \n O B O \n R Y G \n W B B\n\nCube value: 0.0494\n",
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"content": "<think>\n\nI need to analyze the current state of the cube and determine the next move to solve it. Let me look at the cube state:\n\nTOP face: G O Y / G W O / R O Y\nLEFT face: W R B / B O R / O W Y\nFRONT face: W Y R / Y G Y / B W G\nRIGHT face: G B B / G R W / Y O W\nBACK face: R W R / G B Y / O R G\nBOTTOM face: O B O / R Y G / W B B\n\nCube value is 0.0494, which is still far from 1 (solved).\n\nI should try to get some pieces into correct positions. Let me try a basic move to see if I can improve the state. I'll try an F move to see how it affects the cube.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n G O Y \n G W O \n Y R B \n\n LEFT FRONT RIGHT BACK \n W R O B Y W R B B R W R \n B O B W G Y O R W G B Y \n O W O G Y R Y O W O R G \n\n BOTTOM \n Y G G \n R Y G \n W B B\n\nCube value: 0.1074\n",
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n G G R \n O W Y \n G Y W \n\n LEFT FRONT RIGHT BACK \n O G Y R O R B B Y B W W \n W O O B G Y G R W B B O \n B R W R W G Y R B W Y Y \n\n BOTTOM \n G R O \n G Y B \n O R O\n\n Cube Value: 0.0802\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nI need to solve a 3x3x3 Rubik's cube. The cube is in a scrambled state with a value of 0.0802 (where 1.0 would be solved). Let me analyze the current state:\n\nTOP face: G G R / O W Y / G Y W\nLEFT face: O G Y / W O O / B R W \nFRONT face: R O R / B G Y / R W G\nRIGHT face: B B Y / G R W / Y R B\nBACK face: B W W / B B O / W Y Y\nBOTTOM face: G R O / G Y B / O R O\n\nThe cube uses standard notation where:\n- F, B, U, D, L, R are clockwise rotations of the faces\n- F', B', U', D', L', R' are counterclockwise rotations\n- X, Y, Z are whole cube rotations\n- M, E, S are middle layer rotations\n- Fw, 3Fw are wide rotations\n\nI need to start with some basic moves to begin solving. Let me try a simple move first to see how the cube responds.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n G G R \n O W Y \n W O Y \n\n LEFT FRONT RIGHT BACK \n O G G R B R G B Y B W W \n W O R W G O Y R W B B O \n B R O G Y R W R B W Y Y \n\n BOTTOM \n Y G B \n G Y B \n O R O\n\nCube value: 0.1198\n",
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"content": "<think>\n\nLooking at the current cube state, I can see it's quite scrambled with a cube value of 0.1198 (improved from 0.0802). Let me analyze what move to make next.\n\nLooking at the cube:\n- TOP: G G R / O W Y / W O Y\n- FRONT: R B R / W G O / G Y R\n- BOTTOM: Y G B / G Y B / O R O\n\nI notice the FRONT face has some orange (O) pieces. Let me try an F move to see how it affects the cube. This might help organize some pieces on the front face.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n G G R \n O W Y \n O R G \n\n LEFT FRONT RIGHT BACK \n O G Y G W R W B Y B W W \n W O G Y G B O R W B B O \n B R B R O R Y R B W Y Y \n\n BOTTOM \n W Y G \n G Y B \n O R O\n\nCube value: 0.0741\n",
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[
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
"role": "system"
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n W Y B \n W W G \n O R W \n\n LEFT FRONT RIGHT BACK \n R G Y G B O G R R Y G G \n B O W O G Y O R B W B O \n W B O Y R R W O G R Y B \n\n BOTTOM \n B W B \n Y Y G \n O R Y\n\n Cube Value: 0.0988\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nI need to solve a 3x3x3 Rubik's cube. The cube is currently scrambled with a value of 0.0988 (where 1.0 is solved). I need to provide moves using the given notation to solve it step by step.\n\nLooking at the cube state:\n- TOP: W Y B / W W G / O R W\n- LEFT: R G Y / B O W / W B O \n- FRONT: G B O / O G Y / Y R R\n- RIGHT: G R R / O R B / W O G\n- BACK: Y G G / W B O / R Y B\n- BOTTOM: B W B / Y Y G / O R Y\n\nSince I'm told not to think too much and just take action, I'll start with a basic move to see how the cube responds. I'll try a simple rotation of the RIGHT face clockwise.\n\n</think>\n<action>\nR\n</action>\n",
"role": "assistant"
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"content": " TOP \n W Y O \n W W Y \n O R R \n\n LEFT FRONT RIGHT BACK \n R G Y G B B W O G W G G \n B O W O G G O R R G B O \n W B O Y R Y G B R B Y B \n\n BOTTOM \n B W R \n Y Y W \n O R Y\n\nCube value: 0.1383\n",
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"content": "<think>\n\nLooking at the current cube state, I can see it's not solved (cube value is 0.1383). The cube has pieces scattered across all faces. I need to start making moves to solve it step by step.\n\nLet me analyze the current state:\n- TOP face: W Y O / W W Y / O R R (not solved)\n- BOTTOM face: B W R / Y Y W / O R Y (not solved)\n- Other faces also have mixed colors\n\nI should start with a basic move to begin organizing the cube. Let me try a simple rotation to see how it affects the cube state. I'll start with an R move to rotate the RIGHT face clockwise.\n\n</think>\n<action>\nR\n</action>\n",
"role": "assistant"
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"content": " TOP \n W Y B \n W W G \n O R Y \n\n LEFT FRONT RIGHT BACK \n R G Y G B R G O W R G G \n B O W O G W B R O Y B O \n W B O Y R Y R R G O Y B \n\n BOTTOM \n B W B \n Y Y G \n O R W\n\nCube value: 0.0864\n",
"role": "user"
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"content": "<think>\n\nThe cube has changed after the R move. Let me analyze the current state:\n\nTOP face: W Y B / W W G / O R Y\nLEFT face: R G Y / B O W / W B O\nFRONT face: G B R / O G W / Y R Y\nRIGHT face: G O W / B R O / R R G\nBACK face: R G G / Y B O / O Y B\nBOTTOM face: B W B / Y Y G / O R W\n\nThe cube value went from 0.0988 to 0.1383 after first R, then to 0.0864 after second R. This suggests we're making progress.\n\nLet me think about what to do next. Since this is a Rubik's cube solving task and I'm supposed to just take the next step without thinking too much, I should probably continue with a basic move that might help solve the cube.\n\nLooking at the cube state, I notice that the TOP face has some white pieces but not all solved. The RIGHT face seems to have some orange pieces mixed in.\n\nLet me try a U move to see if it helps align some pieces better.\n\n</think>\n<action>\nU\n</action>\n",
"role": "assistant"
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"content": " TOP \n O W W \n R W Y \n Y G B \n\n LEFT FRONT RIGHT BACK \n G B R G O W R G G R G Y \n B O W O G W B R O Y B O \n W B O Y R Y R R G O Y B \n\n BOTTOM \n B W B \n Y Y G \n O R W\n\nCube value: 0.0926\n",
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[
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
"role": "system"
},
{
"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n B Y Y \n O W Y \n W B O \n\n LEFT FRONT RIGHT BACK \n W Y R B O B Y B B R R O \n W O W G G W R R G Y B B \n W O Y O R W G B G R O G \n\n BOTTOM \n G G O \n W Y R \n R G Y\n\n Cube Value: 0.0741\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nLooking at the cube state, I need to solve this 3x3x3 Rubik's cube. The cube value is 0.0741, which means it's not solved. Let me analyze the current state:\n\nTOP face: B Y Y / O W Y / W B O\nFRONT face: B O B / G G W / O R W\nRIGHT face: Y B B / R R G / G B G\nBACK face: R R O / Y B B / R O G\nBOTTOM face: G G O / W Y R / R G Y\nLEFT face: W Y R / W O W / W O Y\n\nSince the task says \"dont think too much, just action of next step\", I'll make a reasonable first move. Let me try rotating the front face clockwise to see how it affects the cube.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n B Y Y \n O W Y \n Y W R \n\n LEFT FRONT RIGHT BACK \n W Y G O G B W B B R R O \n W O G R G O B R G Y B B \n W O O W W B O B G R O G \n\n BOTTOM \n G R Y \n W Y R \n R G Y\n\nCube value: 0.1136\n",
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"content": "<think>\n\nLooking at the cube state after the F move:\n- The cube value increased from 0.0741 to 0.1136, which means the cube is less solved now\n- The front face was disrupted - it went from having some organization to being more scrambled\n- The top face also changed, with the bottom-right corner changing from O to R\n- This suggests that F was not a good move choice\n\nI should try a different approach. Let me look for a move that might help organize the cube better. Maybe I should try to solve a layer or create some recognizable patterns.\n\nLooking at the current state:\n- The bottom layer has some yellow pieces that could be useful\n- The front face has some white pieces that might belong on top\n- Maybe I should try to get some pieces into their correct positions\n\nLet me try an R move to see if it helps organize the right side better.\n\n</think>\n<action>\nR\n</action>\n",
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"content": " TOP \n B Y B \n O W O \n Y W B \n\n LEFT FRONT RIGHT BACK \n W Y G O G Y O B W R R O \n W O G R G R B R B Y B B \n W O O W W Y G G B Y O G \n\n BOTTOM \n G R R \n W Y Y \n R G R\n\nCube value: 0.1074\n",
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n W W B \n O W G \n G R G \n\n LEFT FRONT RIGHT BACK \n R W Y R Y W O O Y O G G \n R O Y B G G R R O Y B W \n B W B Y O R W B G Y Y O \n\n BOTTOM \n R B B \n B Y R \n W G O\n\n Cube Value: 0.0951\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nLooking at the cube state, I need to analyze the current configuration and decide on the next move to start solving it.\n\nCurrent cube state:\n- UP face: W W B / O W G / G R G\n- FRONT face: R Y W / B G G / Y O R\n- RIGHT face: O O Y / R R O / W B G\n- BACK face: O G G / Y B W / Y Y O\n- DOWN face: R B B / B Y R / W G O\n- LEFT face: R W Y / R O Y / B W B\n\nCube value: 0.0951 (far from solved)\n\nI can see there are white pieces scattered around. On the UP face, I see white pieces at positions (0,2,0) and (1,2,0). There's also a white piece on the FRONT face at (0,2,0).\n\nLet me start by trying to work on creating some order. I'll try an F move to see how it affects the cube and brings some pieces into better alignment.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n W W B \n O W G \n B Y Y \n\n LEFT FRONT RIGHT BACK \n R W R Y B R G O Y O G G \n R O B O G Y R R O Y B W \n B W B R G W G B G Y Y O \n\n BOTTOM \n W R O \n B Y R \n W G O\n\nCube value: 0.0617\n",
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"content": "<think>\n\nLooking at the cube state after F2, the cube value is still 0.0617, which means it's not solved yet. I need to continue solving the cube. Let me analyze the current state:\n\nTop face: W W B / O W G / B R Y\nI need to get the white cross on top first. I see there are white pieces on the top face, but they're not aligned properly.\n\nLet me try to make a move that might help get the white cross. I'll try U' to rotate the top face counterclockwise.\n\n</think>\n<action>\nU'\n</action>\n",
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"content": " TOP \n B G Y \n W W Y \n W O B \n\n LEFT FRONT RIGHT BACK \n O G G R W R Y B R G O Y \n R O B O G Y R R O Y B W \n B W B R G W G B G Y Y O \n\n BOTTOM \n W R O \n B Y R \n W G O\n\nCube value: 0.0741\n",
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n B Y B \n G W B \n Y G O \n\n LEFT FRONT RIGHT BACK \n R O O B Y W B O R Y B W \n W O W O G O Y R R G B R \n G B G Y B G R W W R R W \n\n BOTTOM \n O W Y \n R Y G \n O Y G\n\n Cube Value: 0.1259\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nI need to solve this 3x3x3 Rubik's cube. The cube value is 0.1259, which means it's not solved (solved would be 1). \n\nLooking at the cube state:\n- TOP: B Y B, G W B, Y G O\n- LEFT: R O O, W O W, G B G \n- FRONT: B Y W, O G O, Y B G\n- RIGHT: B O R, Y R R, R W W\n- BACK: Y B W, G B R, R R W\n- BOTTOM: O W Y, R Y G, O Y G\n\nThe cube is completely scrambled. I need to start with basic moves to begin solving it. Let me make a simple first move to see how the cube responds. I'll start with a basic R (right face clockwise) move.\n\n</think>\n<action>\nR\n</action>\n",
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"content": " TOP \n B Y W \n G W O \n Y G G \n\n LEFT FRONT RIGHT BACK \n R O O B Y Y R Y B O B W \n W O W O G G W R O B B R \n G B G Y B G W R R B R W \n\n BOTTOM \n O W R \n R Y G \n O Y Y\n\nCube value: 0.1506\n",
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"content": "<think>\n\nLooking at the current cube state, I can see it's definitely not solved (cube value is 0.1506). Let me analyze the faces:\n\nTOP: B Y W / G W O / Y G G\nFRONT: B Y Y / O G G / Y B G\nRIGHT: R Y B / W R O / W R R\nBACK: O B W / B B R / B R W\nLEFT: R O O / W O W / G B G\nBOTTOM: O W R / R Y G / O Y Y\n\nI need to start solving this systematically. A common approach is to first solve a cross on one face, usually the bottom (D face). Looking at the bottom face, I see some white stickers but they're not in the right positions.\n\nLet me start with a basic move to see how it affects the cube. I'll try an F move (clockwise rotation of the front face) to see what happens.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n B Y W \n G W O \n G W O \n\n LEFT FRONT RIGHT BACK \n R O O Y O B Y Y B O B W \n W O W B G Y G R O B B R \n G B R G G Y G R R B R W \n\n BOTTOM \n W W R \n R Y G \n O Y Y\n\nCube value: 0.1506\n",
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"content": "<think>\n\nThe cube state has changed slightly after the F move. Let me analyze the current state:\n\nTOP: B Y W / G W O / G W O\nFRONT: Y O B / B G Y / G G Y\nRIGHT: Y Y B / G R O / G R R\nBACK: O B W / B B R / B R W\nLEFT: R O O / W O W / G B R\nBOTTOM: W W R / R Y G / O Y Y\n\nCube value is still 0.1506, which is low indicating the cube is not solved.\n\nI need to think about a strategy for solving this cube. Since this is a 3x3x3 cube, I should probably start with a layer-by-layer approach. Let me try to solve the white cross on the bottom first.\n\nLooking at the bottom layer, I see white pieces in various positions. I should try to get the white cross on the bottom face.\n\nLet me try a move that might help organize the white pieces on the bottom.\n\n</think>\n<action>\nD'\n</action>\n",
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"content": " TOP \n B Y W \n G W O \n G W O \n\n LEFT FRONT RIGHT BACK \n R O O Y O B Y Y B O B W \n W O W B G Y G R O B B R \n G G Y G R R B R W G B R \n\n BOTTOM \n R G Y \n W Y Y \n W R O\n\nCube value: 0.1383\n",
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
"role": "system"
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n G Y O \n G W B \n Y B B \n\n LEFT FRONT RIGHT BACK \n R O B R Y Y O W Y G G Y \n R O W O G Y R R W R B G \n O G B R B W R O B W Y G \n\n BOTTOM \n W R G \n W Y B \n W O O\n\n Cube Value: 0.0617\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nI need to solve this 3x3x3 Rubik's cube. Let me analyze the current state:\n\nTop face (UP):\nG Y O\nG W B\nY B B\n\nLeft face:\nR O B\nR O W\nO G B\n\nFront face:\nR Y Y\nO G Y\nR B W\n\nRight face:\nO W Y\nR R W\nR O B\n\nBack face:\nG G Y\nR B G\nW Y G\n\nBottom face (DOWN):\nW R G\nW Y B\nW O O\n\nCube Value: 0.0617 (not solved)\n\nLooking at the cube, I can see that the white pieces are scattered around. There are three white pieces on the bottom face but they're not aligned to form a proper cross. The white cross is typically the first step in solving a Rubik's cube.\n\nLet me try a basic move to start aligning some pieces. I'll try rotating the right face clockwise (R) to see how it affects the cube state.\n\n</think>\n<action>\nR\n</action>\n",
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"content": " TOP \n G Y Y \n G W Y \n Y B W \n\n LEFT FRONT RIGHT BACK \n R O B R Y G R R O B G Y \n R O W O G B O R W B B G \n O G B R B O B W Y O Y G \n\n BOTTOM \n W R W \n W Y R \n W O G\n\nCube value: 0.1198\n",
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"content": "<think>\n\nLooking at the cube state, I can see it's not solved (cube value is 0.1198, not 1). The cube shows a scrambled configuration with various colors on each face. \n\nLet me analyze what I see:\n- TOP face: G Y Y, G W Y, Y B W\n- LEFT face: R O B, R O W, O G B \n- FRONT face: R Y G, O G B, R B O\n- RIGHT face: R R O, O R W, B W Y\n- BACK face: B G Y, B B G, O Y G\n- BOTTOM face: W R W, W Y R, W O G\n\nThis is a complex scrambled state. Since I'm just starting to solve this, I should begin with a basic move to start organizing the pieces. Let me try a simple move to see how it affects the cube structure.\n\nI'll start with a basic R move to see how it affects the cube.\n\n</think>\n<action>\nR\n</action>\n",
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"content": " TOP \n G Y G \n G W B \n Y B O \n\n LEFT FRONT RIGHT BACK \n R O B R Y W B O R W G Y \n R O W O G R W R R Y B G \n O G B R B G Y W O Y Y G \n\n BOTTOM \n W R O \n W Y B \n W O B\n\nCube value: 0.0679\n",
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"content": "<think>\n\nThe cube state has changed significantly after two R moves. Let me analyze the current state:\n\nTop face: G Y G / G W B / Y B O\nFront face: R Y W / O G R / R B G\nRight face: B O R / W R R / Y W O\nBack face: W G Y / Y B G / Y Y G\nLeft face: R O B / R O W / O G B\nBottom face: W R O / W Y B / W O B\n\nThe cube value went from 0.1198 to 0.0679, which is an improvement. However, I should try a different approach since just doing R moves repeatedly doesn't seem to be leading toward a solution efficiently.\n\nLet me try a more systematic approach. I should focus on getting one face complete first, typically the white face as it's often used as the bottom in standard solving methods.\n\nLooking at the bottom face: W R O / W Y B / W O B\nThe white pieces are scattered. I should try to get the white cross first.\n\nLet me try a move that might help organize the white pieces.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n G Y G \n G W B \n B W B \n\n LEFT FRONT RIGHT BACK \n R O W R O R Y O R W G Y \n R O R B G Y B R R Y B G \n O G O G R W O W O Y Y G \n\n BOTTOM \n Y W B \n W Y B \n W O B\n\nCube value: 0.1198\n",
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
"role": "system"
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n Y W R \n Y W B \n B W O \n\n LEFT FRONT RIGHT BACK \n O O W R R B Y Y Y B G G \n Y O B O G B W R W O B G \n R Y O W B W O G G R R W \n\n BOTTOM \n G R B \n R Y O \n G G Y\n\n Cube Value: 0.0802\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
"role": "user"
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"content": "<think>\n\nLooking at the cube state, I need to understand the current configuration and determine a good first move to start solving it. The cube has a value of 0.0802, which means it's not solved.\n\nFrom the visualization:\n- Top face has white pieces scattered\n- Multiple faces have white pieces\n- The cube is in a scrambled state\n\nSince I'm instructed not to think too much and just take action, I'll start with a basic move to see how the cube responds. I'll try a simple clockwise rotation of the RIGHT face (R) to understand the cube's behavior.\n\n</think>\n<action>\nR\n</action>\n",
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"content": " TOP \n Y W B \n Y W B \n B W W \n\n LEFT FRONT RIGHT BACK \n O O W R R B O W Y O G G \n Y O B O G O G R Y B B G \n R Y O W B Y G W Y R R W \n\n BOTTOM \n G R R \n R Y O \n G G B\n\nCube value: 0.0802\n",
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"content": "<think>\n\nLooking at the cube state, I need to solve this 3x3x3 Rubik's cube. The cube value is 0.0802, indicating it's not solved. Let me analyze the current state:\n\nTOP face: Y W B, Y W B, B W W\nBOTTOM face: G R R, R Y O, G G B\nLEFT face: O O W, Y O B, R Y O\nFRONT face: R R B, O G O, W B Y\nRIGHT face: O W Y, G R Y, G W Y\nBACK face: O G G, B B G, R R W\n\nI can see that there's a white center on the LEFT face. Let me try to start building a white cross. I notice there are white edge pieces that need to be aligned. Let me make a move to start solving the cube.\n\nI'll start by trying to position some white edge pieces properly.\n\n</think>\n<action>\nL' R' U2 F2 L' R' U2 F2\n</action>\n",
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"content": " TOP \n G R B \n O W B \n G W Y \n\n LEFT FRONT RIGHT BACK \n O W R W G G O W W R B W \n Y O B O G G Y R G O B B \n Y O O B R Y G Y Y R R O \n\n BOTTOM \n W W R \n Y Y R \n B G B\n\nCube value: 0.1654\n",
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n W B R \n Y W O \n R Y G \n\n LEFT FRONT RIGHT BACK \n B O Y B R Y R G W G Y R \n B O W R G G Y R G W B O \n G W O W R W O B B O W O \n\n BOTTOM \n G G B \n O Y R \n Y B Y\n\n Cube Value: 0.0802\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nI need to solve this 3x3x3 Rubik's cube. Let me analyze the current state:\n\nThe cube has these faces:\n- TOP: W B R / Y W O / R Y G\n- LEFT: B O Y / B O W / G W O \n- FRONT: B R Y / R G G / W R W\n- RIGHT: R G W / Y R G / O B B\n- BACK: G Y R / W B O / O W O\n- BOTTOM: G G B / O Y R / Y B Y\n\nThe cube value is 0.0802, which means it's not solved (solved would be 1.0).\n\nI need to determine the next move to make progress. For a Rubik's cube, I typically use a layer-by-layer approach:\n1. First layer cross\n2. First layer corners\n3. Middle layer\n4. Last layer cross\n5. Last layer corners position\n6. Last layer corners orientation\n\nLooking at the cube, I don't see any obvious completed faces or simple patterns. I should start with a strategic move that helps position pieces for the first layer.\n\nLet me try a move that might help create some useful patterns or position white pieces (which are scattered across multiple faces):\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n W B R \n Y W O \n O W Y \n\n LEFT FRONT RIGHT BACK \n B O G W R B R G W G Y R \n B O G R G R Y R G W B O \n G W B W G Y G B B O W O \n\n BOTTOM \n O Y R \n O Y R \n Y B Y\n\nCube value: 0.1198\n",
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"content": "<think>\n\nLooking at the current cube state, I can see this is a 3x3x3 Rubik's cube that needs to be solved. The cube value is 0.1198, which means it's quite far from being solved (1.0 would be completely solved).\n\nLet me analyze the current state:\n- TOP face: W B R / Y W O / O W Y\n- The white pieces are scattered across different faces\n- I need to start solving systematically\n\nFor a standard 3x3x3 solve, I typically follow these steps:\n1. Solve white cross on top\n2. Solve white corners\n3. Solve middle layer\n4. Solve yellow cross\n5. Position yellow corners\n6. Orient yellow corners\n7. Position last layer edges\n\nLooking at the cube, I see white pieces on multiple faces. Let me start by trying to get white edge pieces to the top to form a cross. I'll make a basic move to see how the cube responds.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n W B R \n Y W O \n B G G \n\n LEFT FRONT RIGHT BACK \n B O O W R W O G W G Y R \n B O Y G G R W R G W B O \n G W R Y R B Y B B O W O \n\n BOTTOM \n G Y R \n O Y R \n Y B Y\n\nCube value: 0.0802\n",
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"content": "<think>\n\nThe cube state has changed, but the cube value is still not 1 (solved). Let me analyze the current state:\n\nTop face: W B R / Y W O / B G G\nFront face: W R W / G G R / Y R B\nRight face: O G W / W R G / Y B B\nBack face: G Y R / W B O / O W O\nLeft face: B O O / B O Y / G W R\nBottom face: G Y R / O Y R / Y B Y\n\nThe cube value is 0.0802, which is very low, indicating we're far from solved. I need to make a strategic move. Let me try to work on the bottom layer first since it seems somewhat organized (two rows have G Y R and O Y R).\n\nI'll try a D move to see if it helps organize the bottom layer.\n\n</think>\n<action>\nD\n</action>\n",
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"content": " TOP \n W B R \n Y W O \n B G G \n\n LEFT FRONT RIGHT BACK \n B O O W R W O G W G Y R \n B O Y G G R W R G W B O \n O W O G W R Y R B Y B B \n\n BOTTOM \n Y O G \n B Y Y \n Y R R\n\nCube value: 0.2173\n",
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n W O O \n W W G \n O B O \n\n LEFT FRONT RIGHT BACK \n O R B Y W G W R Y G W B \n B O B Y G O B R Y G B R \n R Y B R Y B Y G R Y G W \n\n BOTTOM \n W R R \n O Y O \n G W G\n\n Cube Value: 0.1136\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nLet me analyze the given Rubik's cube state:\n\n**TOP face (UP):**\n```\nW O O\nW W G\nO B O\n```\n\n**FRONT face:**\n```\nY W G\nY G O\nR Y B\n```\n\n**RIGHT face:**\n```\nW R Y\nB R Y\nY G R\n```\n\n**BACK face:**\n```\nG W B\nG B R\nY G W\n```\n\n**LEFT face:**\n```\nO R B\nB O B\nR Y B\n```\n\n**BOTTOM face (DOWN):**\n```\nW R R\nO Y O\nG W G\n```\n\n**Cube Value:** 0.1136 (not solved)\n\nI need to determine the next move to solve the cube. Since this is a complex puzzle and I don't have a full solver algorithm, I'll make an educated guess about a good first move.\n\nLooking at the cube, I can see that white pieces are scattered across multiple faces. A common approach in Rubik's cube solving is to start by creating a cross on one face. \n\nSince the cube value is 0.1136 (far from solved), I'll start with a basic move that might help position some pieces. Let me try a Front face rotation (F) to see how it affects the cube state.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n W O O \n W W G \n B B B \n\n LEFT FRONT RIGHT BACK \n O R W R Y Y O R Y G W B \n B O R Y G W B R Y G B R \n R Y R B O G O G R Y G W \n\n BOTTOM \n Y B W \n O Y O \n G W G\n\nCube value: 0.1198\n",
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"content": "<think>\n\nLooking at the current cube state, I need to determine the next move to solve it. The cube value is 0.1198, which means it's not solved yet.\n\nLet me analyze the current state:\n- Top face: W O O / W W G / B B B\n- Front face: R Y Y / Y G W / B O G\n- Right face: O R Y / B R Y / O G R\n- Back face: G W B / G B R / Y G W\n- Left face: O R W / B O R / R Y R\n- Bottom face: Y B W / O Y O / G W G\n\nI should start with a basic solving strategy. Let me try to make a move that might help progress toward solving. I'll try an F move to see how it affects the cube.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n W O O \n W W G \n R R W \n\n LEFT FRONT RIGHT BACK \n O R Y B Y R B R Y G W B \n B O B O G Y B R Y G B R \n R Y W G W Y B G R Y G W \n\n BOTTOM \n O B O \n O Y O \n G W G\n\nCube value: 0.1198\n",
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[
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
"role": "system"
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n R G R \n Y W G \n Y W O \n\n LEFT FRONT RIGHT BACK \n W O R G R B Y R W G W B \n R O Y G G W B R O B B B \n O O W G B R B O O G R W \n\n BOTTOM \n O Y Y \n W Y G \n B Y Y\n\n Cube Value: 0.1296\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nLooking at the cube, I need to solve it systematically. The cube value is 0.1296, which means it's scrambled. Let me start by trying to solve the white cross on the bottom face.\n\nFirst, I should identify where the white edge pieces are:\n- On TOP face: There's a white piece at (1,2,0) and (2,2,0)\n- On LEFT face: There's a white piece at (0,1,0)\n- On FRONT face: There's a white piece at (1,1,0)\n- On RIGHT face: There's a white piece at (2,1,0)\n- On BACK face: There's a white piece at (0,1,2)\n- On BOTTOM face: There's a white piece at (0,0,0), (1,0,0), and (2,0,0)\n\nI need to move the white edge pieces to the bottom face and orient them correctly. Let me start by making some moves to position the white pieces.\n\n</think>\n<action>\nF U R U' F'\n</action>\n",
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"content": " TOP \n W R B \n Y W G \n Y O O \n\n LEFT FRONT RIGHT BACK \n R O R G G Y G R Y O W G \n R O Y G G W B R W G B B \n O O W G B R B O B R R W \n\n BOTTOM \n O Y Y \n W Y B \n B Y W\n\nCube value: 0.1173\n",
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"content": "<think>\n\nThe cube display seems to be corrupted or not showing properly. Let me try a simple move to see if I can get a clearer state of the cube. I'll try a basic F move to see what happens.\n\n</think>\n<action>\nF\n</action>\n",
"role": "assistant"
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"content": " TOP \n W R B \n Y W G \n W Y R \n\n LEFT FRONT RIGHT BACK \n R O O G G G Y R Y O W G \n R O Y B G G O R W G B B \n O O Y R W Y O O B R R W \n\n BOTTOM \n B B G \n W Y B \n B Y W\n\nCube value: 0.1506\n",
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[
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
"role": "system"
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n O B B \n O W O \n Y O O \n\n LEFT FRONT RIGHT BACK \n W W G O G B Y Y R Y W G \n W O O B G B Y R G R B G \n W Y W B Y G R R R G B B \n\n BOTTOM \n R G Y \n R Y W \n O R W\n\n Cube Value: 0.1321\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nLooking at the cube state, I need to understand the current configuration and plan my first move to solve it.\n\nThe cube has:\n- UP face: O, B, B / O, W, O / Y, O, O\n- DOWN face: R, G, Y / R, Y, W / O, R, W\n- FRONT face: O, G, B / B, G, B / B, Y, G\n- BACK face: Y, W, G / R, B, G / G, B, B\n- LEFT face: W, W, G / W, O, O / W, Y, W\n- RIGHT face: Y, Y, R / Y, R, G / R, R, R\n\nThe cube value is 0.1321, meaning it's not solved. I need to make moves to get it to the solved state where the cube value is 1.\n\nLet me start by looking at the UP face. I see white (W) pieces that should eventually be on the UP face if we're following standard color schemes. Let me make a move to start organizing the cube.\n\nI'll start with a basic move to see how the cube responds.\n\n</think>\n<action>\nR\n</action>\n",
"role": "assistant"
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"content": " TOP \n O B B \n O W B \n Y O G \n\n LEFT FRONT RIGHT BACK \n W W G O G Y R Y Y O W G \n W O O B G W R R Y O B G \n W Y W B Y W R G R B B B \n\n BOTTOM \n R G G \n R Y R \n O R Y\n\nCube value: 0.1321\n",
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"content": "<think>\n\nLooking at the current cube state, I need to determine what move would be most helpful to progress toward solving it. Let me analyze the cube:\n\nTOP: O B B\n O W B\n Y O G\n\nLEFT: W W G\n W O O\n W Y W\n\nFRONT: O G Y\n B G W\n B Y W\n\nRIGHT: R Y Y\n R R Y\n R G R\n\nBACK: O W G\n O B G\n B B B\n\nBOTTOM: R G G\n R Y R\n O R Y\n\nI can see that:\n1. The BACK face has three B's in the bottom row, which is good\n2. The RIGHT face has some Y's and R's that need alignment\n3. The FRONT face has mixed colors\n\nLet me try a basic move that might help align some pieces. I'll try rotating the RIGHT face clockwise (R).\n\n</think>\n<action>\nR\n</action>\n",
"role": "assistant"
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"content": " TOP \n O B Y \n O W W \n Y O W \n\n LEFT FRONT RIGHT BACK \n W W G O G G R R R G W G \n W O O B G R G R Y B B G \n W Y W B Y Y R Y Y B B B \n\n BOTTOM \n R G B \n R Y O \n O R O\n\nCube value: 0.184\n",
"role": "user"
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"content": "<think>\n\nI need to analyze the current state of the cube and determine the next move to solve it. Let me look at the cube state:\n\nTOP face:\nO B Y\nO W W\nY O W\n\nLEFT face:\nW W G\nW O O\nW Y W\n\nFRONT face:\nO G G\nB G R\nB Y Y\n\nRIGHT face:\nR R R\nG R Y\nR Y Y\n\nBACK face:\nG W G\nB B G\nB B B\n\nBOTTOM face:\nR G B\nR Y O\nO R O\n\nThe cube value is 0.184, which is not 1 (solved state). I need to make moves to solve the cube.\n\nLooking at the cube, I can see that:\n1. The RIGHT face has all R pieces, which is good - it's solved\n2. The BACK face has mostly B pieces but not all\n3. The BOTTOM face is mixed up\n4. The TOP face is mixed up\n5. The LEFT and FRONT faces are mixed up\n\nI should probably start by working on getting the white cross on the bottom or solving a layer. Let me try some basic moves to see what happens.\n\nI'll try a U move to see if it helps align pieces better.\n\n</think>\n<action>\nU\n</action>\n",
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"content": " TOP \n Y O O \n O W B \n W W Y \n\n LEFT FRONT RIGHT BACK \n O G G R R R G W G W W G \n W O O B G R G R Y B B G \n W Y W B Y Y R Y Y B B B \n\n BOTTOM \n R G B \n R Y O \n O R O\n\nCube value: 0.0926\n",
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n B G G \n Y W G \n Y O W \n\n LEFT FRONT RIGHT BACK \n O B G O G R B W W O Y Y \n G O B R G Y R R W R B R \n B W G W O B W Y Y G B R \n\n BOTTOM \n R B O \n O Y O \n Y W R\n\n Cube Value: 0.0741\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nLet me analyze the cube state first:\n\nCube state:\n- TOP (U): B G G / Y W G / Y O W\n- FRONT (F): O G R / R G Y / W O B\n- LEFT (L): O B G / G O B / B W G\n- RIGHT (R): B W W / R R W / W Y Y\n- BACK (B): O Y Y / R B R / G B R\n- BOTTOM (D): R B O / O Y O / Y W R\n\nCube value: 0.0741 (not solved)\n\nColor scheme (centers):\n- White (W) opposite Red (R)\n- Green (G) opposite Yellow (Y)\n- Orange (O) opposite Blue (B)\n\nI need to make a strategic first move to start solving this cube. Let me try a simple F move to see if it helps align some pieces.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n B G G \n Y W G \n G B G \n\n LEFT FRONT RIGHT BACK \n O B R W R O Y W W O Y Y \n G O B O G G O R W R B R \n B W O B Y R W Y Y G B R \n\n BOTTOM \n W R B \n O Y O \n Y W R\n\nCube value: 0.0679\n",
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"content": "<think>\n\nThe cube state has changed after the F move. Let me analyze the current state:\n\nTOP: BGG/YWG/GBG\nLEFT: OBR/GOB/BWO \nFRONT: WRO/OGG/BYR\nRIGHT: YWW/ORW/WYY\nBACK: OYY/RBR/GBR\nBOTTOM: WRB/OYO/YWR\n\nThe cube value decreased from 0.0741 to 0.0679, which is good progress. I need to continue solving the cube step by step. Let me think about what would be a good next move.\n\nLooking at the cube, I can see that:\n- The white cross on bottom is not complete\n- The corners are not solved\n- The edges are not aligned\n\nA common approach is to start with the bottom layer. Let me try to get some white pieces to the bottom layer.\n\nI should try to get a white corner to the bottom layer. Looking at the FRONT face, there's a white corner at position F2 (bottom-right of front face). Let me try to move it to the bottom layer.\n\nI'll try R' to move the white corner from front-right to bottom-right position.\n\n</think>\n<action>\nR'\n</action>\n",
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"content": " TOP \n B G G \n Y W R \n G B O \n\n LEFT FRONT RIGHT BACK \n O B R W R G W W Y R Y Y \n G O B O G G W R Y O B R \n B W O B Y G Y O W B B R \n\n BOTTOM \n W R O \n O Y G \n Y W R\n\nCube value: 0.0864\n",
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n G Y G \n B W G \n O R W \n\n LEFT FRONT RIGHT BACK \n W O G W W R B R Y R O R \n B O G O G O W R Y R B W \n O B W O B R B G B O W Y \n\n BOTTOM \n B Y Y \n R Y Y \n G G Y\n\n Cube Value: 0.0864\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nI need to analyze the current state of the Rubik's cube and determine the next move to solve it.\n\nThe cube is shown in an unfolded format:\n- UP (TOP): G Y G / B W G / O R W\n- LEFT: W O G / B O G / O B W\n- FRONT: W W R / O G O / O B R\n- RIGHT: B R Y / W R Y / B G B\n- BACK: R O R / R B W / O W Y\n- DOWN (BOTTOM): B Y Y / R Y Y / G G Y\n\nThe cube value is 0.0864, which means it's not solved (a solved cube would have a value of 1).\n\nI should start by looking for a simple move that can help solve the cube. Let me examine the faces to see if there are any obvious patterns or pieces that can be moved to better positions.\n\nLooking at the cube, I notice that the FRONT face has two white pieces in the top row (W W R), which could be part of a cross. I should try to make a move that helps establish a pattern or gets pieces closer to their solved positions.\n\nLet me try a simple move to see what happens. I'll start with a basic move like F (Front face clockwise).\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n G Y G \n B W G \n W G G \n\n LEFT FRONT RIGHT BACK \n W O B O O W O R Y R O R \n B O Y B G W R R Y R B W \n O B Y R O R W G B O W Y \n\n BOTTOM \n B W B \n R Y Y \n G G Y\n\nCube value: 0.0802\n",
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"content": "<think>\n\nLooking at the cube state, I need to determine the best next move to solve it. The cube value is 0.0802, which is not 1, so it's not solved.\n\nLet me analyze the current state:\n- The bottom layer has some white pieces but they're not properly aligned for a white cross\n- The top layer has white pieces that should probably be moved to the bottom\n- I need to focus on getting the white cross on the bottom layer first\n\nLooking at the cube, I see white pieces in various positions. The front face has white in the bottom row, which might be useful. Let me try a move that could help position white pieces better.\n\nI'll try an R move to see if it helps organize the white pieces on the right face and potentially bring some white pieces down.\n\n</think>\n<action>\nR\n</action>\n",
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"content": " TOP \n G Y W \n B W W \n W G R \n\n LEFT FRONT RIGHT BACK \n W O B O O B W R O G O R \n B O Y B G Y G R R G B W \n O B Y R O Y B Y Y G W Y \n\n BOTTOM \n B W O \n R Y R \n G G R\n\nCube value: 0.1136\n",
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n G R B \n W W B \n R B B \n\n LEFT FRONT RIGHT BACK \n O G W G R O W W W R W W \n B O G Y G Y R R W O B Y \n O B R Y G Y B Y Y R R Y \n\n BOTTOM \n G O O \n O Y O \n G G B\n\n Cube Value: 0.0741\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nI need to solve this 3x3 Rubik's cube. Let me analyze the current state:\n\nCurrent cube state:\n```\n TOP (UP)\n G R B \n W W B \n R B B \n\n LEFT FRONT RIGHT BACK \n O G W G R O W W W R W W \n B O G Y G Y R R W O B Y \n O B R Y G Y B Y Y R R Y \n\n BOTTOM (DOWN)\n G O O \n O Y O \n G G B\n```\n\nCube Value: 0.0741 (not solved)\n\nI need to get a white cross on the UP face. Currently, there are white pieces scattered across different faces. I should start by trying to move white pieces to the UP face to form the cross.\n\nLooking at the cube, I see white pieces on:\n- UP face: already has some white pieces (middle row)\n- FRONT face: middle piece is white\n- LEFT face: middle piece is white\n- RIGHT face: middle piece is white\n\nLet me try to move the white piece from the FRONT face to the UP face.\n\n</think>\n<action>\nF U F'\n</action>\n",
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"content": " TOP \n R W G \n G W R \n R B B \n\n LEFT FRONT RIGHT BACK \n Y Y B W R O W W W O G G \n B O B W G Y R R W O B Y \n O B W R G Y B Y Y R R Y \n\n BOTTOM \n G O O \n O Y O \n G G B\n\nCube value: 0.0617\n",
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"content": "<think>\n\nLooking at the current cube state, I need to analyze what the next logical move should be to solve the cube. The cube value is 0.0617, which means it's quite far from being solved.\n\nLet me analyze the current state:\n- Top face: R W G / G W R / R B B (has some white pieces but not organized)\n- The white pieces are scattered across different faces\n- I need to start creating some structure\n\nA common approach in solving the cube is to first create a cross on one face. Let me try to make a move that will help organize the white pieces or create a pattern that will be useful for solving.\n\nI'll try a simple F move to see what happens to the cube state.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n R W G \n G W R \n W B B \n\n LEFT FRONT RIGHT BACK \n Y Y G R W W R W W O G G \n B O O G G R B R W O B Y \n O B O Y Y O B Y Y R R Y \n\n BOTTOM \n B R W \n O Y O \n G G B\n\nCube value: 0.1136\n",
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"content": "<think>\n\nLet me analyze the current state of the cube:\n\nTOP face: R W G / G W R / W B B\nLEFT face: Y Y G / B O O / O B O\nFRONT face: R W W / G G R / Y Y O\nRIGHT face: R W W / B R W / B Y Y\nBACK face: O G G / O B Y / R R Y\nBOTTOM face: B R W / O Y O / G G B\n\nThe cube value has increased from 0.0617 to 0.1136, which means the cube is further from being solved. I need to try a different approach.\n\nLooking at the cube, I can see that the white pieces are scattered around. Let me try a common beginner's move to get some white pieces to the top.\n\nI'll try R U R' U' which is a common algorithm for moving pieces around.\n\n</think>\n<action>\nR U R' U'\n</action>\n",
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"content": " TOP \n G R Y \n G W R \n W B O \n\n LEFT FRONT RIGHT BACK \n O Y G R W W B B R G W W \n B O O G G W G R W O B Y \n O B O Y Y W B Y Y R R Y \n\n BOTTOM \n B R R \n O Y O \n G G B\n\nCube value: 0.1136\n",
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
"role": "system"
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n O Y Y \n W W R \n Y W W \n\n LEFT FRONT RIGHT BACK \n Y R G O O B O G B R G B \n R O W G G W B R O Y B B \n R O Y G O O W R G W B B \n\n BOTTOM \n R G G \n B Y Y \n W Y R\n\n Cube Value: 0.184\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nI need to solve this Rubik's cube. Let me analyze the current state:\n\nTOP face: O Y Y / W W R / Y W W\nLEFT face: Y R G / R O W / R O Y\nFRONT face: O O B / G G W / G O O\nRIGHT face: O G B / B R O / W R G\nBACK face: R G B / Y B B / W B B\nBOTTOM face: R G G / B Y Y / W Y R\n\nThe cube value is 0.184, which means it's not solved. I need to make moves to solve it. Let me start by trying to organize the cube. I'll make a basic move to see how the pieces move and start working towards solving it.\n\nI'll start with a simple rotation to understand the cube better.\n\n</think>\n<action>\nR\n</action>\n",
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"content": " TOP \n O Y B \n W W W \n Y W O \n\n LEFT FRONT RIGHT BACK \n Y R G O O G W B O W G B \n R O W G G Y R R G R B B \n R O Y G O R G O B Y B B \n\n BOTTOM \n R G W \n B Y Y \n W Y R\n\nCube value: 0.1568\n",
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"content": "<think>\n\nLooking at the current cube state, I can see it's not solved (cube value is 0.1568, not 1). Let me analyze the cube:\n\nTop face: O Y B / W W W / Y W O\nFront face: O O G / G G Y / G O R\nRight face: W B O / R R G / G O B\nBack face: W G B / R B B / Y B B\nLeft face: Y R G / R O W / R O Y\nBottom face: R G W / B Y Y / W Y R\n\nI need to make a move to start solving the cube. Let me try a basic move to see how it affects the state. I'll start with a simple R move.\n\n</think>\n<action>\nR\n</action>\n",
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"content": " TOP \n O Y G \n W W Y \n Y W R \n\n LEFT FRONT RIGHT BACK \n Y R G O O W G R W O G B \n R O W G G Y O R B W B B \n R O Y G O R B G O B B B \n\n BOTTOM \n R G Y \n B Y R \n W Y W\n\nCube value: 0.1506\n",
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"content": "<think>\n\nThe cube state has changed again after my R move. Let me analyze the current state:\n\nTOP: O Y G, W W Y, Y W R\nFRONT: O O W, G G Y, G O R\nRIGHT: G R W, O R B, B G O\nBACK: O G B, W B B, B B B\nLEFT: Y R G, R O W, R O Y\nBOTTOM: R G Y, B Y R, W Y W\n\nCube value: 0.1506 (decreased slightly)\n\nI need to continue making progress toward solving the cube. Since the cube value is still low and the state is still far from solved, I should continue with logical moves that help organize the pieces. Let me try a move that might help with the top layer or front face.\n\nLooking at the current state, I notice:\n- The top layer has some yellow pieces but not a complete yellow face\n- The front face has some white and orange pieces\n- The right face has some green, red, white, blue, orange pieces\n\nI think I should try to work on getting the white cross on top or organizing the bottom layer. Let me try a U move to see if it helps align pieces better.\n\n</think>\n<action>\nU\n</action>\n",
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"content": " TOP \n Y W O \n W W Y \n R Y G \n\n LEFT FRONT RIGHT BACK \n O O W G R W O G B Y R G \n R O W G G Y O R B W B B \n R O Y G O R B G O B B B \n\n BOTTOM \n R G Y \n B Y R \n W Y W\n\nCube value: 0.1901\n",
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n G G O \n O W R \n W B Y \n\n LEFT FRONT RIGHT BACK \n R Y R B R O B Y G W W Y \n O O R G G O G R B Y B W \n B G R G R B Y W Y O B O \n\n BOTTOM \n W W R \n Y Y B \n W O G\n\n Cube Value: 0.0741\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nLet me analyze the current state of the Rubik's cube:\n\nCurrent configuration:\n- TOP: G G O / O W R / W B Y\n- LEFT: R Y R / O O R / B G R\n- FRONT: B R O / G G O / G R B\n- RIGHT: B Y G / G R B / Y W Y\n- BACK: W W Y / Y B W / O B O\n- BOTTOM: W W R / Y Y B / W O G\n\nThe cube value is 0.0741, which means it's not solved. I need to solve it step by step.\n\nFirst, I should understand the standard Rubik's cube solving approach:\n1. Make a cross on one face (usually white)\n2. Solve the corners of that face\n3. Solve the middle layer\n4. Make a cross on the opposite face (usually yellow)\n5. Position the corners of the opposite face\n6. Orient the corners of the opposite face\n\nLooking at the cube, I see that the TOP face has some white pieces (W) but not all. The BOTTOM face also has some white pieces. \n\nLet me start by trying to make a move to understand the cube better. I'll try a simple F move to see what happens.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n G G O \n O W R \n R R R \n\n LEFT FRONT RIGHT BACK \n R Y W G G B W Y G W W Y \n O O W R G R B R B Y B W \n B G R B O O Y W Y O B O \n\n BOTTOM \n Y G B \n Y Y B \n W O G\n\nCube value: 0.0741\n",
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"content": "<think>\n\nLooking at the current cube configuration, I can see that:\n- TOP face: G G O / O W R / R R R\n- The bottom row of the TOP face has all R's, which is good for forming a cross\n- The cube value is 0.0741, meaning it's quite close to being solved\n\nLet me analyze the faces:\n- TOP: Has some pieces in place but needs work\n- FRONT: G G B / R G R / B O O\n- RIGHT: W Y G / B R B / Y W Y\n- BOTTOM: Y G B / Y Y B / W O G\n\nSince the cube is already quite close to being solved (0.0741), I should make a careful move that doesn't disrupt the already good positioning. The R's in the bottom row of the TOP face suggest that some cross formation is already in place.\n\nI'll try a simple F move to see what happens to the configuration.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n G G O \n O W R \n R W W \n\n LEFT FRONT RIGHT BACK \n R Y Y B R G R Y G W W Y \n O O G O G G R R B Y B W \n B G B O R B R W Y O B O \n\n BOTTOM \n Y B W \n Y Y B \n W O G\n\nCube value: 0.1716\n",
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"content": "<think>\n\nLooking at the current cube state, I need to analyze what needs to be done. The cube value is 0.1716, which means it's not solved. \n\nLet me examine the cube:\n- Top face center is G (green)\n- Bottom face center is Y (yellow)\n- Front face center is B (blue)\n- Back face center is W (white)\n- Left face center is R (red)\n- Right face center is O (orange)\n\nLooking at the bottom layer, I see yellow pieces but they're not aligned properly for a cross. I should start by trying to establish a cross on one face.\n\nLet me try a basic move to see how the cube responds. I'll start with F (Front face clockwise rotation).\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n G G O \n O W R \n B G Y \n\n LEFT FRONT RIGHT BACK \n R Y Y O O B R Y G W W Y \n O O B R G R W R B Y B W \n B G W B G G W W Y O B O \n\n BOTTOM \n R R R \n Y Y B \n W O G\n\nCube value: 0.0741\n",
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[
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n B B B \n G W R \n O W Y \n\n LEFT FRONT RIGHT BACK \n O W W B B R G G W R O Y \n O O O G G Y R R R W B W \n B Y W R Y G O Y G Y B R \n\n BOTTOM \n G O W \n G Y B \n Y R O\n\n Cube Value: 0.1321\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nI need to solve this 3x3x3 Rubik's cube. Let me analyze the current state:\n\nTop face: B B B / G W R / O W Y\nFront face: B B R / G G Y / R Y G\nRight face: G G W / R R R / O Y G\nBack face: R O Y / W B W / Y B R\nLeft face: O W W / O O O / B Y W\nBottom face: G O W / G Y B / Y R O\n\nThe cube is not solved (value 0.1321). I need to make moves to solve it. Since the user said not to think too much and just take the next step, I'll make a reasonable first move to start solving the cube.\n\nA common first step is to create a cross on one face. I notice there are white pieces scattered around. Let me start by trying to get some white pieces to the top or create some order.\n\nLooking at the cube, I see the front face has a white piece in the middle of the top row. I could try to move white pieces to the top face.\n\nLet me try a simple move to start organizing the cube.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n B B B \n G W R \n W O W \n\n LEFT FRONT RIGHT BACK \n O W G R G B O G W R O Y \n O O O Y G B W R R W B W \n B Y W G Y R Y Y G Y B R \n\n BOTTOM \n O R G \n G Y B \n Y R O\n\nCube value: 0.0988\n",
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"content": "<think>\n\nI need to solve this 3x3x3 Rubik's cube. The current cube value is 0.0988, which means it's not solved (solved value is 1). \n\nLooking at the cube state:\n- TOP: B B B / G W R / W O W\n- FRONT: R G B / Y G B / G Y R\n- RIGHT: O G W / W R R / Y Y G\n- BACK: R O Y / W B W / Y B R\n- LEFT: O W G / O O O / B Y W\n- BOTTOM: O R G / G Y B / Y R O\n\nI need to make moves to solve the cube. Since this is the first move, I'll start with a basic move to understand how the cube responds. Let me try a simple F move (clockwise rotation of the FRONT face).\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n B B B \n G W R \n W O G \n\n LEFT FRONT RIGHT BACK \n O W O G Y R W G W R O Y \n O O R Y G G O R R W B W \n B Y G R B B W Y G Y B R \n\n BOTTOM \n Y W O \n G Y B \n Y R O\n\nCube value: 0.1321\n",
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"content": "<think>\n\nLooking at the current cube state, I can see that the top face has some white pieces but not a complete white cross. The cube value is 0.1321, indicating it's not solved. \n\nLet me analyze the current state:\n- Top face: B B B / G W R / W O G\n- The white pieces are scattered across different faces\n- I need to start forming a white cross on top\n\nSince the top face is mostly blue but has white pieces, I should focus on getting the white pieces to the top face to form a cross. Let me start with a basic move to see how it affects the cube.\n\nI'll try an F move to see how it affects the white pieces on the front face.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n B B B \n G W R \n G R O \n\n LEFT FRONT RIGHT BACK \n O W Y R Y G W G W R O Y \n O O W B G Y O R R W B W \n B Y O B G R G Y G Y B R \n\n BOTTOM \n W O W \n G Y B \n Y R O\n\nCube value: 0.0864\n",
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[
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
"role": "system"
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n Y Y O \n G W W \n G W O \n\n LEFT FRONT RIGHT BACK \n R R Y R G Y G O B Y B B \n O O O B G R W R G Y B G \n O B O B R R W O G W B G \n\n BOTTOM \n W Y B \n W Y Y \n W R R\n\n Cube Value: 0.1444\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nI need to solve this 3x3x3 Rubik's cube. The cube value is 0.1444, which means it's quite scrambled. Let me analyze the current state:\n\nTop face (UP): Y Y O, G W W, G W O\nFront face: R G Y, B G R, B R R\nRight face: G O B, W R G, W O G\nBack face: Y B B, Y B G, W B G\nLeft face: R R Y, O O O, O B O\nBottom face (DOWN): W Y B, W Y Y, W R R\n\nI should start by forming a cross on one face. Since there are several white pieces on different faces, I'll try to form a white cross on the bottom face.\n\nLooking at the cube, I see there's a white piece on the front face (middle right). I'll try rotating the front face clockwise to bring this white piece to the bottom face.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n Y Y O \n G W W \n O O Y \n\n LEFT FRONT RIGHT BACK \n R R W B B R G O B Y B B \n O O Y R G G W R G Y B G \n O B B R R Y O O G W B G \n\n BOTTOM \n W W G \n W Y Y \n W R R\n\nCube value: 0.0864\n",
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"content": "<think>\n\nLooking at the current cube state, I can see it's not solved. The cube value is 0.0864, which is far from 1.0 (solved state).\n\nLet me analyze the cube:\n- Top face has Y, G, O mixed\n- Bottom face has W, Y, R mixed\n- Side faces don't have matching colors\n\nFor a standard Rubik's cube solution approach, I typically want to:\n1. First solve the bottom cross (white in this case)\n2. Then solve the middle layer\n3. Finally solve the top layer\n\nLooking at the bottom face, I see white pieces scattered. Let me try to start forming a white cross. I'll try a simple F move to see how it affects the cube's configuration.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n Y Y O \n G W W \n B Y W \n\n LEFT FRONT RIGHT BACK \n R R W R R B O O B Y B B \n O O W R G B O R G Y B G \n O B G Y G R Y O G W B G \n\n BOTTOM \n O W G \n W Y Y \n W R R\n\nCube value: 0.0926\n",
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[
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
"role": "system"
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n G O G \n Y W W \n Y O B \n\n LEFT FRONT RIGHT BACK \n O B R G Y R Y O O Y G W \n G O Y R G W R R R G B Y \n O W Y B B R W B W R B W \n\n BOTTOM \n O W B \n G Y R \n B O G\n\n Cube Value: 0.0802\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nLooking at the Rubik's cube state, I can see it's scrambled with a cube value of 0.0802. This means it's not solved. \n\nThe cube shows:\n- Top face: G, O, G / Y, W, W / Y, O, B\n- Front face: G, Y, R / R, G, W / B, B, R\n- Right face: Y, O, O / R, R, R / W, B, W\n- Back face: Y, G, W / G, B, Y / R, B, W\n- Bottom face: O, W, B / G, Y, R / B, O, G\n- Left face: O, B, R / G, O, Y / O, W, Y\n\nSince this is a scrambled 3x3x3 cube, I need to start solving it. A common first step is to create a cross on one face. Let me try some basic moves to start organizing the cube. I'll use a simple algorithm that helps in the early stages of solving.\n\n</think>\n<action>\nR U R' U'\n</action>\n",
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"content": " TOP \n G W O \n Y W W \n Y O R \n\n LEFT FRONT RIGHT BACK \n Y B R G Y B W R G W O O \n G O Y R G O G R R G B Y \n O W Y B B R B B W R B W \n\n BOTTOM \n O W Y \n G Y R \n B O G\n\nCube value: 0.1198\n",
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"content": "<think>\n\nLooking at the cube configuration, I can see it's not solved (cube value is 0.1198, not 1.0). I need to make a move to start solving it. Let me analyze the current state:\n\nTOP: G W O / Y W W / Y O R\nLEFT: Y B R / G O Y / O W Y \nFRONT: G Y B / R G O / B B R\nRIGHT: W R G / G R R / B B W\nBACK: W O O / G B Y / R B W\nBOTTOM: O W Y / G Y R / B O G\n\nThe cube has mixed colors on all faces. A common strategy is to start by solving one face, usually the bottom (white in standard cubes). However, I don't see a clear white face here.\n\nLet me try a simple move to see how it affects the cube structure. I'll start with an R move to rotate the right face clockwise.\n\n</think>\n<action>\nR\n</action>\n",
"role": "assistant"
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"content": " TOP \n G W B \n Y W O \n Y O R \n\n LEFT FRONT RIGHT BACK \n Y B R G Y Y B G W R O O \n G O Y R G R B R R W B Y \n O W Y B B G W R G O B W \n\n BOTTOM \n O W R \n G Y G \n B O W\n\nCube value: 0.0802\n",
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"content": "<think>\n\nLooking at the cube state, I can see it's not solved (Cube Value: 0.0802). The TOP face has colors G, W, O, Y, B. I need to start solving the cube systematically. \n\nLet me analyze the current state:\n- TOP face: G W O / Y W W / Y O B\n- LEFT face: O B R / G O Y / O W Y\n- FRONT face: G Y R / R G W / B B R\n- RIGHT face: Y O O / Y R R / W B W\n- BACK face: Y G W / G B Y / R B W\n- BOTTOM face: O W B / G Y R / B O G\n\nSince the cube value increased to 0.1198 after my last move, that move didn't help. I should try a different approach. Let me try a simple move to see what happens to the cube state.\n\n</think>\n<action>\nR\n</action>\n",
"role": "assistant"
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"content": " TOP \n G W Y \n Y W R \n Y O G \n\n LEFT FRONT RIGHT BACK \n Y B R G Y R W B B R O O \n G O Y R G G R R G O B Y \n O W Y B B W G R W B B W \n\n BOTTOM \n O W O \n G Y W \n B O R\n\nCube value: 0.1198\n",
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"content": "<think>\n\nLooking at the cube state, I need to analyze what's happening and make a strategic move. The cube value has been fluctuating between 0.0802 and 0.1198, which suggests we're not making consistent progress toward solving.\n\nLet me analyze the current state:\n\nTop face: G W Y\n- Not solved (should be all one color)\n\nFront face: G Y R / R G G / B B W\n- Not solved\n\nRight face: W B B / R R G / G R W \n- Not solved\n\nBottom face: O W O / G Y W / B O R\n- Not solved\n\nI should try a more systematic approach. Let me try to work on getting the white cross on top, which is a common first step in layer-by-layer solving methods.\n\nLet me try a move that might help organize some pieces. I'll try an F move to see if it helps align some pieces better.\n\n</think>\n<action>\nF\n</action>\n",
"role": "assistant"
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"content": " TOP \n G W Y \n Y W R \n Y Y R \n\n LEFT FRONT RIGHT BACK \n Y B O B R G Y B B R O O \n G O W B G Y O R G O B Y \n O W O W G R G R W B B W \n\n BOTTOM \n G R W \n G Y W \n B O R\n\nCube value: 0.0926\n",
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"content": "<think>\n\nLooking at the current cube state:\n- TOP face: G W O / Y W W / Y O B (not solved)\n- FRONT face: G Y R / R G W / B B R (not solved)\n- RIGHT face: Y O O / R R R / W B W (not solved)\n- LEFT face: O B R / G O Y / O W Y (not solved)\n- BACK face: Y G W / G B Y / R B W (not solved)\n- BOTTOM face: O W B / G Y R / B O G (not solved)\n\nThe cube value is 0.0802, which means it's not solved. I need to start solving it systematically. Let me start by trying to get some pieces aligned. I'll begin with a simple move to understand how the cube responds to my actions.\n\nLet me try an R move first to see what happens.\n\n</think>\n<action>\nR\n</action>\n",
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"content": " TOP \n G W G \n Y W Y \n Y Y R \n\n LEFT FRONT RIGHT BACK \n Y B O B R W G O Y R O O \n G O W B G W R R B R B Y \n O W O W G R W G B Y B W \n\n BOTTOM \n G R B \n G Y O \n B O R\n\nCube value: 0.0802\n",
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[
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"content": "You are intelligent ai agent.\nYou are given a task and you need to complete it.\ntask will be given in <task>\n{task}\n</task> format.\nyou will have histoy of happended events in <history>\n{history}\n</history> format.\nhistory can be trancated if it is too long.\nif you want to remember something, you can add it to memory\nmemory will be given in <memory>\n{memory}\n</memory> format.\nif you want to update memory, use <update_memory>\n{new_memory}\n</update_memory> format.\nif you want to think, use <think>\n{think}\n</think> format.\nif you want to to to something, use <action>\n{action}\n</action> format.\nif you want to stop, use <done> format.\n",
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"content": "<memory>\n\n</memory>\n<history>\n\n</history>\n<task>\n\nSupported Moves and Notation\nUses SIGN notation, including advanced extensions.\n\nBasic moves\nMove\t\nL L'\tClockwise/Counterclockwise cube rotation of the LEFT face.\nR R'\tClockwise/Counterclockwise cube rotation of the RIGHT face.\nD D'\tClockwise/Counterclockwise cube rotation of the DOWN face.\nU U'\tClockwise/Counterclockwise cube rotation of the UP face.\nF F'\tClockwise/Counterclockwise cube rotation of the FRONT face.\nB B'\tClockwise/Counterclockwise cube rotation of the BACK face.\nAdvanced Moves\nMove\t\nX X'\tCube rotation on X axis. X is the axis that points from LEFT to the RIGHT face.\nY Y'\tCube rotation on Y axis. Y is the axis that points from DOWN to the UP face.\nZ Z'\tCube rotation on Z axis. Z is the axis that points from BACK to the FRONT face.\nM M'\tRotation of the center layer on the X axis.\nE E'\tRotation of the center layer on the Y axis.\nS S'\tRotation of the center layer on the Z axis.\nFw Fw'\tWide rotation of 2 layers.\n3Fw 3Fw'\tWide rotation of 3 layers.\n3F 3F'\tRotation of the 3rd layer.\nF2 F'2\t2x rotation.\nCube Coordinates\nCube coordinates are expressed as a tuple of x,y,z.\n(0,0,0) is the piece on the LEFT,DOWN,BACK corner.\nIn a 3x3x3, (2,2,2) is the piece on the RIGHT,UP,FRONT corner.\n\noutput action in format of \n\nexample action:\n<action>R' L2 U D' F B'2 R' L</action>\n\nfaces orientation:\n UP\nLEFT FRONT RIGHT BACK\n DOWN\nCube value: 1\n\nwhen cube is solved, cube value is 1.\n\n task:\n TOP \n G O O \n G W B \n B R O \n\n LEFT FRONT RIGHT BACK \n W Y W R W W B O Y G G R \n Y O R B G Y B R G W B R \n G W W G G Y B Y B Y W Y \n\n BOTTOM \n O R O \n B Y O \n R O R\n\n Cube Value: 0.0494\n \nThis is a 3x3x3 rubik's cube. you task is to solve the cube.\ndont think too much, just action of next step to solve the cube.\njust take action to see what happens.\n\n</task>\n",
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"content": "<think>\n\nI need to solve this 3x3x3 Rubik's cube. Let me first understand the current state:\n\nTOP face:\nG O O\nG W B\nB R O\n\nFRONT face:\nR W W\nB G Y\nG G Y\n\nRIGHT face:\nB O Y\nB R G\nB Y B\n\nLEFT face:\nW Y W\nY O R\nG W W\n\nBACK face:\nG G R\nW B R\nY W Y\n\nBOTTOM face:\nO R O\nB Y O\nR O R\n\nThe cube value is 0.0494, which means it's not solved. I need to make moves to solve it step by step.\n\nLooking at the cube, I don't see any obvious patterns or completed sections. I'll start with a basic move to see how it affects the cube configuration. Let me try a Front face clockwise move (F) as my first move.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n G O O \n G W B \n W R W \n\n LEFT FRONT RIGHT BACK \n W Y O G B R B O Y G G R \n Y O R G G W R R G W B R \n G W O Y Y W O Y B Y W Y \n\n BOTTOM \n B B B \n B Y O \n R O R\n\nCube value: 0.1136\n",
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"content": "<think>\n\nLooking at the current cube state, I can see it's scrambled. The user wants me to take the next step to solve it without overthinking. Let me make a reasonable first move.\n\nLooking at the cube:\n- TOP: G O O, G W B, W R W\n- LEFT: W Y O, Y O R, G W O \n- FRONT: G B R, G G W, Y Y W\n- RIGHT: B O Y, R R G, O Y B\n- BACK: G G R, W B R, Y W Y\n- BOTTOM: B B B, B Y O, R O R\n\nI notice the bottom face has three B's in the first row, which is a good start. Let me try a basic F move to see how it affects the cube.\n\n</think>\n<action>\nF\n</action>\n",
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"content": " TOP \n G O O \n G W B \n O R O \n\n LEFT FRONT RIGHT BACK \n W Y B Y G G W O Y G G R \n Y O B Y G B R R G W B R \n G W B W W R W Y B Y W Y \n\n BOTTOM \n O R B \n B Y O \n R O R\n\nCube value: 0.0556\n",
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"content": "<think>\n\nThe cube state has changed again after my F move. Let me analyze the current state:\n\nTOP face: G O O / G W B / O R O\nFRONT face: Y G G / Y G B / W W R\nLEFT face: W Y B / Y O B / G W B\nRIGHT face: W O Y / R R G / W Y B\nBACK face: G G R / W B R / Y W Y\nBOTTOM face: O R B / B Y O / R O R\n\nThe cube value is now 0.0556, which is slightly better than the initial 0.0494 but worse than after my first F move (0.1136).\n\nI need to think about what move to make next. Since this is a Rubik's cube solver task, I should try to make progress toward solving it. Common first steps in cube solving include:\n1. Making a cross on one face (usually white or yellow)\n2. Solving a layer\n3. Using algorithms to position pieces\n\nLooking at the current state, I don't see an obvious cross formed on any face. The FRONT face has Y G G / Y G B / W W R, which doesn't look like a cross pattern.\n\nLet me try a different approach. Maybe I should try to get some pieces aligned or use a standard algorithm. Since I don't have a specific strategy yet, let me try another basic move and see what happens.\n\nLet me try an R move to see if I can start getting some pieces in better positions.\n\n</think>\n<action>\nR\n</action>\n",
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"content": " TOP \n G O G \n G W B \n O R R \n\n LEFT FRONT RIGHT BACK \n W Y B Y G B W R W O G R \n Y O B Y G O Y R O B B R \n G W B W W R B G Y O W Y \n\n BOTTOM \n O R Y \n B Y W \n R O G\n\nCube value: 0.0617\n",
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"content": "<think>\n\nLet me analyze the current state of the cube:\n\nTOP face:\nG O G\nG W B\nO R R\n\nLEFT face:\nW Y B\nY O B\nG W B\n\nFRONT face:\nY G B\nY G O\nW W R\n\nRIGHT face:\nW R W\nY R O\nB G Y\n\nBACK face:\nO G R\nB B R\nO W Y\n\nBOTTOM face:\nO R Y\nB Y W\nR O G\n\nThe cube value is 0.0617, which is still quite low. I need to continue solving the cube. Let me think about what moves would be helpful.\n\nLooking at the cube, I can see that:\n- The TOP face has some correct pieces (G, O, G in the top row) but needs work\n- The FRONT face has Y G B which isn't solved\n- The RIGHT face has W R W which isn't solved\n\nI should continue with moves that help organize the pieces. Let me try a U move to see if it helps align some pieces better.\n\n</think>\n<action>\nU\n</action>\n",
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"content": " TOP \n O G G \n R W O \n R B G \n\n LEFT FRONT RIGHT BACK \n Y G B W R W O G R W Y B \n Y O B Y G O Y R O B B R \n G W B W W R B G Y O W Y \n\n BOTTOM \n O R Y \n B Y W \n R O G\n\nCube value: 0.0617\n",
"role": "user"
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] |
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