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"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 7 5 9 | 2 6 1 | 4 3 8\nR2 3 6 2 | 5 8 4 | 1 7 9\nR3 1 4 8 | 3 7 9 | 6 2 5\n - - - - - - - - - - - - - - - - \nR4 9 1 6 | 4 3 8 | 2 5 7\nR5 4 3 5 | 6 2 7 | 9 8 1\nR6 2 8 7 | 9 1 5 | 3 4 6\n - - - - - - - - - - - - - - - - \nR7 5 9 1 | 8 4 2 | 7 6 3\nR8 8 2 3 | 7 9 6 | 5 1 4\nR9 6 7 4 | 1 5 3 | 8 9 .\n",
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"content": "<think>\nOkay, let's look at this Sudoku puzzle. Hmm, the board seems mostly filled except for the last cell in row 9, column 9. Let me check each row, column, and 3x3 box to confirm.\n\nLooking at row 9: the numbers present are 6, 7, 4, 1, 5, 3, 8, 9. Wait, the last cell (R9C9) is marked with a dot. The existing numbers in that row are 6,7,4,1,5,3,8,9. The missing number is 2. But wait, let me cross-verify the column and box to be sure.\n\nColumn 9: The existing numbers are 8 (R1), 9 (R2), 5 (R3), 7 (R4), 1 (R5), 6 (R6), 3 (R7), 4 (R8). So missing numbers in column 9 are 2. Since R9C9 is the only empty cell here, it must be 2. Also, checking the 3x3 box for row 9, columns 7-9. The box has 8,9 in R9C7 and C8. The numbers in that box already include 8,9,5,3, etc. So the missing number here is 2. Therefore, the answer is 2 for R9C9. No other cells are empty, so the filled cell is [9,9,2].\n</think>\n\n<answer>\n[\n [9, 9, 2]\n]\n</answer>",
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"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 2 6 5 | 4 8 1 | 9 7 3\nR2 3 4 9 | 7 5 2 | 8 6 1\nR3 8 7 1 | 9 6 3 | 5 2 4\n - - - - - - - - - - - - - - - - \nR4 9 3 7 | 8 4 6 | 2 1 5\nR5 6 1 4 | 5 2 7 | 3 9 8\nR6 5 8 2 | 1 3 9 | 6 4 7\n - - - - - - - - - - - - - - - - \nR7 1 5 8 | 2 9 4 | 7 3 .\nR8 4 2 6 | 3 7 5 | 1 8 9\nR9 7 9 3 | 6 1 8 | 4 5 2\n",
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"content": "<think>\nOkay, let me look at this Sudoku puzzle. The board is mostly filled except for one cell. The only missing cell is in row 7, column 9 (R7C9). Let me confirm that.\n\nLooking at row 7: R7 has 1, 5, 8 in the first three columns. Then 2, 9, 4 in the middle three. The last three columns are 7, 3, and then a dot, which means empty. So R7C9 is empty.\n\nNow, checking the column 9. Let's see existing numbers in column 9. R1:3, R2:1, R3:4, R4:5, R5:8, R6:7, R7 is empty, R8:9, R9:2. So existing numbers are 1,2,3,4,5,7,8,9. Missing is 6. So the value should be 6. Let me check the 3x3 box as well. R7 is in the bottom-left 3x3 box (rows 7-9, columns 7-9). The box includes R7C7:7, R7C8:3, R7C9:?, R8C7:1, R8C8:8, R8C9:9, R9C7:4, R9C8:5, R9C9:2. The numbers in the box are 1,2,3,4,5,7,8,9. Missing is 6. So yes, the missing value is 6. Therefore, the only cell to fill is [7,9,6].\n</think>\n\n<answer>\n[\n [7, 9, 6]\n]\n</answer>",
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"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 5 9 4 | 7 1 6 | 3 8 2\nR2 8 3 7 | 9 2 4 | 5 6 1\nR3 6 2 1 | 3 8 5 | 7 4 9\n - - - - - - - - - - - - - - - - \nR4 7 8 3 | 6 5 1 | 9 2 4\nR5 9 5 6 | 2 4 7 | 1 . 8\nR6 1 4 2 | 8 3 9 | 6 7 5\n - - - - - - - - - - - - - - - - \nR7 3 1 8 | 5 6 2 | 4 9 7\nR8 2 7 5 | 4 9 3 | 8 1 6\nR9 4 6 9 | 1 7 8 | 2 5 3\n",
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"content": "<think>\nOkay, let's see. I need to solve this Sudoku puzzle. First, I'll look at the given board and find the missing cells. The example shows that there's a '.' in R5C8. Let me check that row and see what's missing.\n\nLooking at row 5: the numbers present are 9,5,6,2,4,7,1,8. The missing number is 3. Because the row has numbers from 1-9 except for 3. Let me check the column C8 as well. The column C8 has in other rows: 8,6,4,2,.,7,1,5. Wait, the existing numbers are 8,6,4,2,7,1,5. So missing in column 8 is 3 and 9? Wait, but row 5's C8 is the only empty cell in that column. Wait, the column C8 has R1:8, R2:6, R3:4, R4:2, R5:., R6:7, R7:9, R8:1, R9:5. So existing numbers are 8,6,4,2,7,9,1,5. Missing is 3. So in row 5, column 8, the only possible number is 3. So the filled cell should be [5,8,3].\n\nIs there any other missing cells? Let me check the entire board again. The given puzzle board shows a '.' only in R5C8. All other cells seem filled. So that's the only cell to fill. Let me confirm once again. The example has a single missing cell here. So the answer is that one cell with 3.\n</think>\n\n<answer>\n[\n [5, 8, 3]\n]\n</answer>",
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"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 5 6 2 | 3 1 4 | 8 7 9\nR2 8 . 1 | 7 9 5 | 4 6 2\nR3 7 4 9 | 6 2 8 | 1 3 5\n - - - - - - - - - - - - - - - - \nR4 3 8 6 | 1 5 7 | 9 2 4\nR5 2 9 5 | 8 4 3 | 6 1 7\nR6 1 7 4 | 9 6 2 | 3 5 8\n - - - - - - - - - - - - - - - - \nR7 4 2 3 | 5 8 1 | 7 9 6\nR8 6 5 7 | 4 3 9 | 2 8 1\nR9 9 1 8 | 2 7 6 | 5 4 3\n",
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"content": "<think>\nOkay, let's look at this Sudoku puzzle. The board is mostly filled except for one cell in R2, column 2. The row is R2, and the cell is marked with a dot. Let me check what's missing there.\n\nFirst, looking at row R2: the numbers present are 8, 1, 7, 9, 5, 4, 6, 2. The missing number in this row is 3. Because numbers 1-9 should be present once each. Let me confirm. The existing numbers in R2 are 8, 1, 7, 9, 5, 4, 6, 2. So 3 is missing here.\n\nNow, check column C2. The column has 6 (R1), . (R2), 4 (R3), 8 (R4), 9 (R5), 7 (R6), 2 (R7), 5 (R8), 1 (R9). So existing numbers in column 2 are 6, 4, 8, 9, 7, 2, 5, 1. Missing is 3. So the cell at R2C2 must be 3. Also, check the 3x3 box. The box for R2C2 includes R1-3 and C1-3. In that box, looking at R1: 5,6,2; R2:8,.,1; R3:7,4,9. The existing numbers are 5,6,2,8,1,7,4,9. Missing is 3. So yes, 3 is the only possible number here. So the missing cell is R2C2 with value 3. That's the only cell left to fill. So the answer is that single cell.\n</think>\n\n<answer>\n[\n [2, 2, 3]\n]\n</answer>",
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"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 4 2 8 | 6 9 1 | 3 5 7\nR2 3 9 1 | 7 4 5 | 8 2 6\nR3 7 5 6 | 3 2 8 | 4 1 9\n - - - - - - - - - - - - - - - - \nR4 6 1 4 | 8 3 2 | 7 9 5\nR5 8 3 9 | 5 1 7 | 6 4 2\nR6 5 7 2 | 9 6 4 | 1 3 8\n - - - - - - - - - - - - - - - - \nR7 1 8 7 | 4 5 9 | . 6 3\nR8 2 6 5 | 1 7 3 | 9 8 4\nR9 9 4 3 | 2 8 6 | 5 7 1\n",
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"content": "<think>\nOkay, let's look at this Sudoku puzzle. The board is mostly filled, but there's one missing cell. The only empty cell is in row 7, column 7 (R7C7). Let me check what numbers are already present in that row, column, and 3x3 box.\n\nLooking at row 7 (R7), the existing numbers are 1, 8, 7, 4, 5, 9, 6, 3. Wait, the row has cells [1,8,7,4,5,9,.,6,3]. So the missing number is in position 7 (since the cells are 1-9). The existing numbers in the row are 1,8,7,4,5,9,6,3. The missing number here is 2 because all others are present.\n\nNow, check column 7 (C7). The column has: R1:3, R2:8, R3:4, R4:7, R5:6, R6:1, R7:., R8:9, R9:5. So existing numbers are 3,8,4,7,6,1,9,5. The missing one is 2. So R7C7 must be 2.\n\nAlso, the 3x3 box for R7C7 is the bottom-middle box (rows 7-9, columns 7-9). The existing numbers in that box are: R7: . 6 3, R8:9 8 4, R9:5 7 1. The existing numbers are 6,3,9,8,4,5,7,1. So missing is 2 again. So all three checks confirm that R7C7 is 2. That's the only cell left, so the puzzle is solved with that single value.\n</think>\n\n<answer>\n[\n [7, 7, 2]\n]\n</answer>",
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"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 3 4 1 | 7 2 6 | 5 9 8\nR2 8 9 6 | 4 3 5 | 7 2 1\nR3 7 2 5 | 8 9 1 | 3 6 4\n - - - - - - - - - - - - - - - - \nR4 6 3 2 | 1 4 7 | 8 5 9\nR5 9 5 7 | 2 6 8 | 1 4 3\nR6 1 8 4 | 3 5 9 | 6 7 2\n - - - - - - - - - - - - - - - - \nR7 4 1 9 | 5 7 3 | 2 8 6\nR8 . 7 3 | 6 8 4 | 9 1 5\nR9 5 6 8 | 9 1 2 | 4 3 7\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let's look at this Sudoku puzzle. The user provided the board and wants me to solve it by filling in the missing cells. First, I need to check where the empty cells are. Looking at the board, the only cell that's missing is in R8C1 (Row 8, Column 1), which is marked with a dot. \n\nSo, let's focus on Row 8. The existing numbers in Row 8 are 7, 3, 6, 8, 4, 9, 1, 5. The missing number is in column 1. Let's check which numbers are already present in this row. The numbers present are 7,3,6,8,4,9,1,5. The missing number here would be 2 because Sudoku requires numbers 1-9 without repetition.\n\nBut wait, I should also check the column and the 3x3 box to make sure that 2 is allowed there. Let's check Column 1. Column 1 has the numbers: 3,8,7,6,9,1,4,5. So missing in column 1 are 2. So 2 is allowed here. \n\nNow check the 3x3 box that R8C1 is part of. The box includes rows 7-9 and columns 1-3. Looking at R7: 4,1,9. R8: .,7,3. R9:5,6,8. So in this box, the existing numbers are 4,1,9,7,3,5,6,8. The missing number is 2. So 2 is valid here. \n\nTherefore, the only possible value for R8C1 is 2. There are no other possibilities. So the filled cell is [8,1,2]. That's the only cell missing in the entire puzzle, so once filled, the Sudoku is complete.\n</think>\n\n<answer>\n[\n [8, 1, 2]\n]\n</answer>",
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7
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]
] | 1.2 |
default
| 432 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 6 1 4 | 8 7 3 | 9 5 2\nR2 5 9 3 | 1 4 2 | 6 8 7\nR3 7 8 2 | 5 9 6 | 3 4 1\n - - - - - - - - - - - - - - - - \nR4 8 2 6 | 7 1 5 | 4 3 9\nR5 3 4 9 | 6 2 8 | 7 1 5\nR6 1 5 7 | 4 3 9 | 8 2 6\n - - - - - - - - - - - - - - - - \nR7 9 6 8 | 3 5 1 | 2 7 4\nR8 2 7 1 | 9 8 4 | 5 6 3\nR9 4 3 5 | 2 . 7 | 1 9 8\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let's look at this Sudoku puzzle. The user provided a board where most cells are already filled, except for one cell in R9C5. Let me check each row, column, and 3x3 box to find where the missing number should go.\n\nStarting with row 9. The current numbers are 4, 3, 5 in columns 1-3, then 2, ., 7 in columns 4-6, and 1, 9, 8 in columns 7-9. The missing number is in column 5. Let's see what numbers are already present in row 9: 4,3,5,2,7,1,9,8. Missing is 6. But wait, let me confirm.\n\nLooking at column 5. The existing numbers in column 5 are: R1:7, R2:4, R3:9, R4:1, R5:2, R6:3, R7:5, R8:8. So column 5 already has 7,4,9,1,2,3,5,8. The missing number here is 6. Since row 9's column 5 is the only one missing, and column 5 needs a 6, then R9C5 must be 6. Also, check the 3x3 box for R9C5. The box is the bottom-middle box (rows 7-9, columns 4-6). In that box, R7 has 3,5,1; R8 has 9,8,4; R9 has 2, .,7. The numbers present are 3,5,1,9,8,4,2,7. So 6 is missing here as well. Therefore, R9C5 is 6. That's the only cell left. So the filled cell is [9,5,6].\n</think>\n\n<answer>\n[\n [9, 5, 6]\n]\n</answer>",
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3,
5,
2,
0,
7,
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9,
8
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]
] | 1.2 |
default
| 433 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 5 8 6 | 7 2 1 | 4 3 9\nR2 2 9 3 | 5 8 4 | 6 7 1\nR3 7 1 4 | 9 3 6 | 5 8 2\n - - - - - - - - - - - - - - - - \nR4 1 2 9 | 3 4 5 | 8 6 7\nR5 8 3 7 | 2 6 9 | 1 4 5\nR6 6 4 5 | 1 7 8 | 9 2 3\n - - - - - - - - - - - - - - - - \nR7 9 6 2 | 4 1 7 | 3 5 8\nR8 4 7 1 | 8 5 3 | 2 9 6\nR9 3 5 8 | 6 . 2 | 7 1 4\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let's look at this Sudoku puzzle. The user provided a board where most cells are filled, but there's one missing cell. Let me check each row, column, and 3x3 box to find where the empty cell is.\n\nLooking at row R9, the cells are [3, 5, 8 | 6, ., 2 | 7, 1, 4]. The missing number in this row is in column 5 (C5). Let's see which numbers are already present in R9: 3,5,8,6,2,7,1,4. The numbers 1-9, so missing is 9. Wait, wait. Let me list them: existing numbers are 3,5,8,6,2,7,1,4. The missing number is 9. So R9C5 should be 9. Let me check the column C5. Column C5 has in each row: R1:2, R2:8, R3:3, R4:4, R5:6, R6:7, R7:1, R8:5, and R9 is missing. The numbers present in column 5 are 2,8,3,4,6,7,1,5. Missing is 9. So yes, 9 is valid here. Also check the 3x3 box. R9 is in the bottom-middle box (rows 7-9, columns 4-6). The numbers in that box: R7 has 4,1,7; R8 has 8,5,3; R9 has 6,.,2. Existing numbers are 4,1,7,8,5,3,6,2. Missing is 9. So all three checks (row, column, box) confirm that R9C5 should be 9. That's the only empty cell, so the answer is just that one cell filled.\n</think>\n\n<answer>\n[\n [9, 5, 9]\n]\n</answer>",
"role": "assistant"
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6
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[
3,
5,
8,
6,
0,
2,
7,
1,
4
]
]
] | 1.2 |
default
| 442 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 5 8 4 | 3 9 6 | 7 1 2\nR2 1 9 2 | 5 7 8 | 4 3 6\nR3 6 7 3 | 1 4 2 | 5 8 .\n - - - - - - - - - - - - - - - - \nR4 4 3 7 | 8 6 1 | 9 2 5\nR5 9 2 6 | 7 5 3 | 1 4 8\nR6 8 5 1 | 9 2 4 | 6 7 3\n - - - - - - - - - - - - - - - - \nR7 7 4 5 | 2 3 9 | 8 6 1\nR8 3 1 9 | 6 8 7 | 2 5 4\nR9 2 6 8 | 4 1 5 | 3 9 7\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let's look at the Sudoku board provided. The task is to find the missing cells and fill them in. The example shows that the only missing cell is in R3 C9, marked with a dot. Let me check each row, column, and 3x3 box to confirm.\n\nFirst, looking at R3. The row has 6,7,3 in the first three cells, then 1,4,2 in the next three. The last three cells are 5,8, and empty. So the missing number in R3 is 9? Wait, let me check. The existing numbers in R3 are 6,7,3,1,4,2,5,8. The numbers 1-9 should be present once. Missing is 9. So R3C9 should be 9. But wait, let me verify with the column and box as well to make sure there's no conflict.\n\nColumn 9: Let's check what's already there. R1 has 2, R2 6, R3 is empty, R4 5, R5 8, R6 3, R7 1, R8 4, R9 7. So existing numbers in column 9 are 2,6,5,8,3,1,4,7. Missing is 9. So yes, R3C9 must be 9. Also, the 3x3 box for R3C9 is the bottom-right box (rows 1-3, columns 7-9). In that box, existing numbers are 7,1,2 in R1; 4,3,6 in R2; and 5,8, and empty in R3. The numbers present are 7,1,2,4,3,6,5,8. Missing is 9. So all three checks confirm that R3C9 is 9. That's the only cell to fill here. So the answer should be [[3,9,9]].\n</think>\n\n<answer>\n[\n [3, 9, 9]\n]\n</answer>",
"role": "assistant"
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2,
6,
8,
4,
1,
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3,
9,
7
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] | 1.2 |
default
| 452 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 4 3 9 | 6 7 1 | 5 2 8\nR2 1 2 6 | 5 9 8 | 3 4 7\nR3 5 8 7 | 2 3 4 | 1 6 9\n - - - - - - - - - - - - - - - - \nR4 9 5 8 | 4 6 3 | 2 7 1\nR5 6 4 3 | 1 2 7 | 9 8 5\nR6 2 7 1 | 9 8 5 | 4 3 6\n - - - - - - - - - - - - - - - - \nR7 3 1 2 | 7 5 6 | 8 9 4\nR8 7 9 4 | 8 1 2 | 6 5 3\nR9 8 . 5 | 3 4 9 | 7 1 2\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let's look at this Sudoku puzzle. The board is mostly filled except for one cell. The only empty cell is in row 9, column 2 (R9C2). Let me check what numbers are missing there.\n\nLooking at row 9, the existing numbers are 8, 5, 3, 4, 9, 7, 1, 2. The missing number is 6. But wait, let me double-check. The row has 8, then a dot (empty), then 5. The rest of the row after the separator has 3,4,9,7,1,2. So the numbers present in row 9 are 8,5,3,4,9,7,1,2. The missing one is indeed 6. So the value for R9C2 should be 6.\n\nLet me confirm with the column as well. Column 2: R1 has 3, R2 has 2, R3 has 8, R4 has 5, R5 has 4, R6 has 7, R7 has 1, R8 has 9, and R9 is empty. The numbers present in column 2 are 3,2,8,5,4,7,1,9. Missing is 6. So yes, 6 is the only possible number here. Also, checking the 3x3 box. The cell R9C2 is in the bottom-middle box (rows 7-9, columns 1-3). Looking at that box: R7 has 3,1,2; R8 has 7,9,4; R9 has 8,.,5. The numbers present in the box are 3,1,2,7,9,4,8,5. Missing is 6 again. So all three checks (row, column, box) confirm that 6 is the correct value for R9C2. Therefore, the only cell to fill is [9, 2, 6].\n</think>\n\n<answer>\n[\n [9, 2, 6]\n]\n</answer>",
"role": "assistant"
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1,
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] | 1.2 |
default
| 456 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 7 1 5 | 8 6 3 | 2 9 4\nR2 6 4 2 | 9 7 1 | 3 8 5\nR3 8 9 3 | 2 4 5 | 7 6 1\n - - - - - - - - - - - - - - - - \nR4 3 . 6 | 1 5 9 | 4 2 7\nR5 5 7 4 | 6 3 2 | 9 1 8\nR6 1 2 9 | 7 8 4 | 5 3 6\n - - - - - - - - - - - - - - - - \nR7 9 5 8 | 4 2 6 | 1 7 3\nR8 2 3 7 | 5 1 8 | 6 4 9\nR9 4 6 1 | 3 9 7 | 8 5 2\n",
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"content": "<think>\nOkay, let's see. I need to solve this Sudoku puzzle. The given board has one missing cell in R4, column 2. Let me check that.\n\nLooking at row 4: the numbers present are 3, 6, 1, 5, 9, 4, 2, 7. Missing number in this row is 8. Because Sudoku rows must have numbers 1-9. So the empty cell at R4C2 (row 4, column 2) should be 8. \n\nWait, let me confirm with the column as well. Column 2: looking at column 2, the existing numbers are R1:1, R2:4, R3:9, R4:., R5:7, R6:2, R7:5, R8:3, R9:6. So current numbers are 1,4,9,7,2,5,3,6. Missing in column 2 is 8. So yes, 8 is the only missing number here. \n\nAlso, check the 3x3 box. The cell R4C2 is in the top-middle box (rows 4-6, columns 1-3). The numbers in that box: R4 has 3, 8 (the missing one), 6; R5 has 5,7,4; R6 has 1,2,9. Wait, but the box is columns 1-3 for rows 4-6. Let me recheck. For row 4, columns 1,2,3: 3, 8 (to be filled), 6. Row 5: 5,7,4. Row 6: 1,2,9. So existing numbers in the box are 3,6,5,7,4,1,2,9. Missing is 8. So yes, the cell must be 8. \n\nTherefore, the only missing cell is [4,2,8]. That's the only cell to fill.\n</think>\n\n<answer>\n[\n [4, 2, 8]\n]\n</answer>",
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default
| 458 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 8 3 2 | 4 7 5 | 1 6 9\nR2 6 9 1 | 3 2 8 | 4 7 5\nR3 5 7 4 | 6 1 9 | 3 2 .\n - - - - - - - - - - - - - - - - \nR4 4 1 9 | 7 5 3 | 2 8 6\nR5 3 5 6 | 1 8 2 | 7 9 4\nR6 7 2 8 | 9 4 6 | 5 3 1\n - - - - - - - - - - - - - - - - \nR7 9 8 5 | 2 3 4 | 6 1 7\nR8 1 6 3 | 5 9 7 | 8 4 2\nR9 2 4 7 | 8 6 1 | 9 5 3\n",
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"content": "<think>\nAlright, let's look at this Sudoku puzzle. The board is mostly filled except for one cell in R3 C9. The row is R3, columns 1-3 are 5,7,4; columns 4-6 are 6,1,9; columns 7-9 are 3,2, and then a dot, which means it's empty. So the missing cell is at R3 C9.\n\nFirst, check the row R3. The existing numbers are 5,7,4,6,1,9,3,2. Missing numbers are 8? Wait, let's list all numbers from 1-9. The row has 5,7,4,6,1,9,3,2. So missing is 8. So the value should be 8. Let me confirm with the column and the 3x3 box.\n\nLooking at column 9: the existing numbers are 9 (R1), 5 (R2), . (R3), 6 (R4), 4 (R5), 1 (R6), 7 (R7), 2 (R8), 3 (R9). So missing in column 9 are 8, maybe others? Wait, column 9 has 9,5,6,4,1,7,2,3. Missing are 8. So that supports the 8 in R3C9.\n\nNow check the 3x3 box. The box for R3C9 is the top-right box (rows 1-3, columns 7-9). Let's see existing numbers: in R1C7-9: 1,6,9; R2C7-9:4,7,5; R3C7-9:3,2,?. The numbers present are 1,6,9,4,7,5,3,2. Missing is 8. So yes, all checks confirm that R3C9 should be 8. So the only cell to fill is [3,9,8].\n</think>\n\n<answer>\n[\n [3, 9, 8]\n]\n</answer>",
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default
| 462 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 8 6 2 | 5 3 4 | 7 9 1\nR2 1 9 5 | 2 7 6 | 3 4 8\nR3 7 3 4 | 8 1 9 | 2 6 5\n - - - - - - - - - - - - - - - - \nR4 3 1 8 | 6 9 5 | 4 7 2\nR5 5 7 9 | 4 2 1 | 6 8 3\nR6 4 2 6 | 7 8 3 | 1 5 .\n - - - - - - - - - - - - - - - - \nR7 2 8 3 | 9 6 7 | 5 1 4\nR8 9 4 7 | 1 5 2 | 8 3 6\nR9 6 5 1 | 3 4 8 | 9 2 7\n",
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"content": "<think>\nOkay, let's take a look at this Sudoku puzzle. Hmm, the board is mostly filled except for one cell. Wait, in R6, the last cell (column 9) has a dot, which probably means it's missing. Let me check the numbers in that row. R6 is 4, 2, 6 in the first three columns, then 7, 8, 3. The last three columns are 1, 5, and then the missing value. So the row already has 1, 2, 3, 4, 5, 6, 7, 8. The missing number is 9. Let me confirm with the column and 3x3 box. Column 9: looking at all rows, R1 has 1, R2 8, R3 5, R4 2, R5 3, R6 missing, R7 4, R8 6, R9 7. So existing numbers in column 9 are 1,8,5,2,3,4,6,7. So missing is 9. Also, the 3x3 box for R6C9 is the bottom-middle box (rows 4-6, columns 7-9). In that box, looking at the values: R4 has 4,7,2; R5 has 6,8,3; R6 has 1,5, and missing. So existing numbers here are 1,2,3,4,5,6,7,8. Missing is 9. So yes, R6C9 should be 9. That's the only cell missing. So the filled cell is [6,9,9]. Wait, but columns are C1 to C9, so column 9 is the ninth column. So the answer is [6,9,9]. Let me make sure there's only one missing cell. Scanning through the entire board: all rows except R6 are complete. R6's last cell is the only one missing. So the solution is just that single cell.\n</think>\n\n<answer>\n[\n [6, 9, 9]\n]\n</answer>",
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default
| 466 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 1 8 5 | 2 4 3 | 7 9 6\nR2 2 4 6 | 7 1 9 | 5 3 8\nR3 3 7 9 | 8 6 5 | 1 4 2\n - - - - - - - - - - - - - - - - \nR4 6 9 4 | 3 5 7 | 8 2 1\nR5 5 3 2 | 1 9 8 | 6 7 4\nR6 8 1 7 | 6 2 4 | 9 5 3\n - - - - - - - - - - - - - - - - \nR7 7 2 3 | 9 8 1 | 4 6 5\nR8 4 6 8 | 5 7 2 | 3 1 9\nR9 9 5 1 | 4 . 6 | 2 8 7\n",
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"content": "<think>\nOkay, let's look at this Sudoku puzzle. The user provided a board where most cells are filled, but there's one missing cell. Let me check each row, column, and 3x3 box to find where the empty cell is.\n\nStarting with row R9. The cells are 9, 5, 1 in the first three columns, then 4, ., 6 in columns 4-6, and 2, 8, 7 in the last three. The missing value is in column 5 (C5). Let's see what numbers are already present in R9: 9,5,1,4,6,2,8,7. The missing number is 3 because Sudoku requires numbers 1-9. \n\nBut wait, I need to make sure that 3 isn't already present in column 5 or the box. Column 5: Let's look down each row. R1 C5 is 4, R2 is 1, R3 is 6, R4 is 5, R5 is 9, R6 is 2, R7 is 8, R8 is 7, and R9's C5 is the empty one. So column 5 has 4,1,6,5,9,2,8,7. The missing number is 3 here as well. \n\nNow the box. The box for R9 C5 is the bottom-middle 3x3 box (rows 7-9, columns 4-6). Let's check the numbers in that box. R7's columns 4-6 are 9,8,1. R8's columns 4-6 are 5,7,2. R9's columns 4-6 are 4, . ,6. So existing numbers in the box are 9,8,1,5,7,2,4,6. The missing number is 3. \n\nSo putting it all together, the missing cell at R9 C5 must be 3. That's the only number that fits without conflicting with row, column, or box.\n</think>\n\n<answer>\n[\n [9, 5, 3]\n]\n</answer>",
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default
| 469 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 4 6 1 | 9 5 7 | 8 3 2\nR2 8 7 5 | 3 1 2 | 4 9 6\nR3 9 2 3 | 8 4 6 | 1 . 7\n - - - - - - - - - - - - - - - - \nR4 7 5 9 | 1 2 3 | 6 8 4\nR5 1 8 6 | 4 7 9 | 5 2 3\nR6 3 4 2 | 6 8 5 | 9 7 1\n - - - - - - - - - - - - - - - - \nR7 2 3 8 | 5 6 4 | 7 1 9\nR8 5 9 4 | 7 3 1 | 2 6 8\nR9 6 1 7 | 2 9 8 | 3 4 5\n",
"role": "user"
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"content": "<think>\nOkay, let's look at this Sudoku puzzle. The user provided a board where most cells are filled except for one missing cell. Let me check each row, column, and 3x3 box to find where the empty cell is and what number should go there.\n\nStarting with row R3. The given cells are 9, 2, 3 in columns 1-3, then 8, 4, 6 in columns 4-6, and 1, ., 7 in columns 7-9. The missing cell is at R3C8. Let's see which numbers are already present in this row. The existing numbers are 9,2,3,8,4,6,1,7. Missing is 5. So R3C8 should be 5. Let me check the column C8. The column has 3,9, (R3 is missing here), 8,2,7,1,6,4. If we put 5 in R3C8, it's valid because there's no 5 in that column yet. Also, the 3x3 box for R3C8 is the top-right box (rows R1-R3, columns C7-C9). Existing numbers here are 8,3,2 in R1; 4,9,6 in R2; and 1,5,7 (assuming R3C7 is 1, R3C9 is 7). Wait, the existing numbers in that box are 8,3,2; 4,9,6; 1, (missing), 7. The missing number here would be 5 as well. So yes, 5 is correct for R3C8. \n\nSo the only missing cell is [3,8,5]. Let me make sure there are no other empty cells. Scanning the entire grid:\n\nRow R1: all filled. R2: all filled. R3: only C8 is missing. R4-R9 all have filled cells. So this is the only cell to fill. Therefore, the answer is that single cell.\n</think>\n\n<answer>\n[\n [3, 8, 5]\n]\n</answer>",
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3,
4,
5
]
]
] | 1.2 |
default
| 469 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 3 8 6 | 2 9 4 | 7 1 5\nR2 5 4 9 | 7 8 1 | 2 6 3\nR3 1 2 7 | 3 6 5 | 9 4 8\n - - - - - - - - - - - - - - - - \nR4 2 7 3 | 6 1 8 | 4 5 9\nR5 4 5 1 | 9 7 3 | 8 2 6\nR6 9 6 8 | 4 5 2 | 1 3 7\n - - - - - - - - - - - - - - - - \nR7 8 1 4 | 5 3 9 | 6 7 2\nR8 7 9 5 | 1 2 6 | 3 8 4\nR9 6 . 2 | 8 4 7 | 5 9 1\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let's look at this Sudoku board. The user provided a partially filled grid, and I need to find the missing cells. Let me start by examining each row, column, and 3x3 subgrid to see where numbers are missing.\n\nLooking at row R9, the cells are [6, ., 2 | 8, 4, 7 | 5, 9, 1]. The missing value is in column 2 (C2). Let's check which numbers are already present in R9. The existing numbers are 6, 2, 8, 4, 7, 5, 9, 1. Missing numbers are 3. Wait, but wait, let me count again. From 1-9, R9 has 6, 2, 8, 4,7,5,9,1. So missing is 3. Therefore, R9C2 must be 3. Let me check if that's allowed. \n\nCheck column C2: existing numbers in C2 are R1:8, R2:4, R3:2, R4:7, R5:5, R6:6, R7:1, R8:9, R9:?. So column C2 has 8,4,2,7,5,6,1,9. Missing is 3. So yes, 3 is valid there. Also, the subgrid for R9C2 is the bottom-left 3x3. That subgrid includes R7-9, C1-3. Existing numbers in that subgrid are R7:8,1,4; R8:7,9,5; R9:6,.,2. So existing are 8,1,4,7,9,5,6,2. Missing is 3. So yes, R9C2 must be 3. \n\nIs there any other cell that's missing? Let me check the entire board. The given puzzle seems to have only one missing cell at R9C2. So the answer is just filling that with 3.\n</think>\n\n<answer>\n[\n [9, 2, 3]\n]\n</answer>",
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4
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[
6,
0,
2,
8,
4,
7,
5,
9,
1
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]
] | 1.2 |
default
| 471 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 9 8 5 | 2 3 7 | 4 . 1\nR2 7 6 1 | 9 4 8 | 3 2 5\nR3 4 2 3 | 6 5 1 | 7 9 8\n - - - - - - - - - - - - - - - - \nR4 6 1 8 | 5 9 3 | 2 7 4\nR5 5 3 4 | 8 7 2 | 9 1 6\nR6 2 9 7 | 1 6 4 | 5 8 3\n - - - - - - - - - - - - - - - - \nR7 8 4 6 | 7 2 5 | 1 3 9\nR8 1 5 2 | 3 8 9 | 6 4 7\nR9 3 7 9 | 4 1 6 | 8 5 2\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let's look at this Sudoku puzzle. The user provided a board where most cells are filled, but there's a single empty cell in R1C8 (row 1, column 8). Let me verify that first.\n\nLooking at row 1: the numbers present are 9, 8, 5 in the first three columns. Then in columns 4-6, there's 2, 3, 7. In the last three columns (C7-C9), it's 4, . (empty), 1. So the missing number in row 1 is in column 8. \n\nNow, checking the numbers already in row 1: 9,8,5,2,3,7,4,1. Missing is 6. Because Sudoku requires 1-9 in each row. So the empty cell (R1C8) should be 6. \n\nLet me cross-check the column. Column 8: looking at each row. R1 has a . in column 8. R2 has 2, R3 has 9, R4 has 7, R5 has 1, R6 has 8, R7 has 3, R8 has 4, R9 has 5. So existing numbers are 2,9,7,1,8,3,4,5. Missing is 6. So column 8 also allows 6 here. \n\nThen check the 3x3 box. The cell is in the top-right box (rows 1-3, columns 7-9). In that box, existing numbers are 4, . ,1 (row1), 3,2,5 (row2), 7,9,8 (row3). So existing numbers: 4,1,3,2,5,7,9,8. Missing is 6. So all three checks (row, column, box) confirm that R1C8 must be 6. \n\nTherefore, the only missing cell is filled with 6. The rest of the board is already complete. So the answer should list [1,8,6].\n</think>\n\n<answer>\n[\n [1, 8, 6]\n]\n</answer>",
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6,
4,
7
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[
3,
7,
9,
4,
1,
6,
8,
5,
2
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]
] | 1.2 |
default
| 473 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 7 3 8 | 9 4 5 | 6 1 2\nR2 1 6 4 | 2 8 3 | 5 7 9\nR3 5 2 9 | 1 6 7 | 3 8 4\n - - - - - - - - - - - - - - - - \nR4 4 1 5 | 7 9 2 | 8 3 6\nR5 3 9 6 | 5 1 8 | 4 2 7\nR6 8 7 2 | 4 3 6 | 9 5 1\n - - - - - - - - - - - - - - - - \nR7 6 8 1 | 3 7 4 | 2 9 5\nR8 2 4 7 | 8 5 9 | 1 6 3\nR9 9 5 3 | . 2 1 | 7 4 8\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let's look at this Sudoku puzzle. The user provided a board where most cells are filled, but there's one missing cell. Let me check each row, column, and 3x3 box to find where the empty cell is.\n\nLooking at row R9, the cells are 9, 5, 3, then a dot (which is empty), 2, 1, followed by 7, 4, 8. So the empty cell is at column 4 of row 9, which is position [9,4].\n\nNow, let's determine what number should go there. The row R9 already has 9,5,3,2,1,7,4,8. Missing numbers are 6. Wait, but let me check the column C4. The column C4 has values: R1:9, R2:2, R3:1, R4:7, R5:5, R6:4, R7:3, R8:8. So existing numbers in column 4 are 9,2,1,7,5,4,3,8. The missing in column 4 is 6. So the cell [9,4] must be 6. Let me also check the 3x3 box. The box for R9,C4 is the bottom-middle box (rows 7-9, columns 4-6). Looking at that box, the existing numbers are 3,7,4 in row 7 (columns 4-6: 3,7,4?), wait let me check again. Row 7's columns 4-6 are 3,7,4. Row 8's columns 4-6 are 8,5,9. Row 9's columns 4-6 are empty (cell C4), 2, 1. So in this box, existing numbers are 3,7,4,8,5,9,2,1. The missing number is 6. Therefore, the value at [9,4] is 6. So the only filled cell is [9,4,6].\n</think>\n\n<answer>\n[\n [9, 4, 6]\n]\n</answer>",
"role": "assistant"
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3
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[
9,
5,
3,
0,
2,
1,
7,
4,
8
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] | 1.2 |
default
| 475 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 6 8 2 | 3 1 7 | 9 4 5\nR2 7 5 3 | 8 4 9 | 2 6 1\nR3 1 9 4 | 6 5 2 | 3 8 7\n - - - - - - - - - - - - - - - - \nR4 4 2 7 | 5 3 1 | 8 9 6\nR5 5 6 1 | 2 9 8 | 4 . 3\nR6 8 3 9 | 7 6 4 | 5 1 2\n - - - - - - - - - - - - - - - - \nR7 2 7 5 | 9 8 6 | 1 3 4\nR8 9 4 6 | 1 2 3 | 7 5 8\nR9 3 1 8 | 4 7 5 | 6 2 9\n",
"role": "user"
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{
"content": "<think>\nOkay, let's look at this Sudoku puzzle. The board is mostly filled except for one cell. The only empty cell is in R5 (row 5), column 8, which is marked with a dot. Let me check the numbers already present in that row, column, and 3x3 box to figure out what's missing.\n\nFirst, row R5 has the numbers 5, 6, 1, 2, 9, 8, 4, and 3. The missing number in this row must be 7 because numbers 1 through 9 should each appear once. Let me verify if 7 is allowed in column 8. Looking at column 8, the existing numbers are 4 (R1), 6 (R2), 8 (R3), 9 (R4), dot (R5), 1 (R6), 3 (R7), 5 (R8), 2 (R9). So column 8 currently has 4,6,8,9,1,3,5,2. The missing number here is 7, which matches the row's missing number. \n\nNow, checking the 3x3 box that R5C8 is in. This box is the middle-center box (rows 4-6, columns 7-9). Wait, actually, column 8 is part of the middle-center box. Let me check the numbers in that box. The middle-center box includes cells from R4,5,6 and columns 7-9. Looking at the existing numbers in that box:\n\nR4's columns 7-9: 8,9,6\nR5's columns 7-9: 4, ., 3 (so 4 and 3)\nR6's columns 7-9: 5,1,2\n\nSo existing numbers here are 8,9,6,4,3,5,1,2. The missing number is 7. Therefore, putting 7 in R5C8 is valid. \n\nTherefore, the only empty cell should be filled with 7. There's only one cell to fill here.\n</think>\n\n<answer>\n[\n [5, 8, 7]\n]\n</answer>",
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[
3,
1,
8,
4,
7,
5,
6,
2,
9
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]
] | 1.2 |
default
| 476 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 9 5 7 | 6 8 2 | 4 1 3\nR2 4 3 8 | 1 9 5 | 6 7 2\nR3 2 6 1 | 3 4 7 | 8 9 5\n - - - - - - - - - - - - - - - - \nR4 1 4 5 | 7 6 8 | 3 2 9\nR5 3 7 2 | 4 1 9 | 5 8 6\nR6 8 9 6 | 2 5 3 | 7 4 1\n - - - - - - - - - - - - - - - - \nR7 7 1 9 | 5 3 4 | 2 6 8\nR8 6 2 3 | 8 7 1 | 9 5 4\nR9 . 8 4 | 9 2 6 | 1 3 7\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let's look at the Sudoku board provided. The user wants me to solve it and list the filled cells. First, I need to check if there are any obvious missing numbers. \n\nLooking at row R9, the only cell that's empty is in column 1 (R9C1). The current values in R9 are [., 8, 4 | 9, 2, 6 | 1, 3, 7]. So, the existing numbers in this row are 8,4,9,2,6,1,3,7. The missing number is 5. But wait, let me double-check. The row has 8,4,9,2,6,1,3,7. So numbers 1-9 except 5 and maybe another? Wait, let's count. The numbers present are 1,2,3,4,6,7,8,9. So missing is 5. So R9C1 should be 5.\n\nNow, check column 1 for conflicts. Column 1 has 9,4,2,1,3,8,7,6, and the last cell. The existing numbers are 9,4,2,1,3,8,7,6. Missing is 5. So yes, 5 is valid here. Also, the 3x3 block for R9C1 is the bottom-left block (rows 7-9, columns 1-3). In that block, looking at R7: 7,1,9; R8:6,2,3; R9: .,8,4. So existing numbers in the block are 7,1,9,6,2,3,8,4. Missing is 5. Therefore, R9C1 must be 5. So that's the only missing cell in the entire board. \n\nTherefore, the filled cell is [9,1,5]. I need to represent this in the answer as a list. Since the problem uses 1-based indexing, row 9, column 1, value 5. That's the only cell to fill.\n</think>\n\n<answer>\n[\n [9, 1, 5]\n]\n</answer>",
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9,
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8
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[
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2,
3,
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7,
1,
9,
5,
4
],
[
0,
8,
4,
9,
2,
6,
1,
3,
7
]
]
] | 1.2 |
default
| 478 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 2 7 3 | 4 5 9 | 6 1 8\nR2 8 6 1 | 2 3 7 | 4 9 5\nR3 4 9 5 | 6 1 8 | 7 3 2\n - - - - - - - - - - - - - - - - \nR4 1 5 4 | 8 9 6 | 3 2 7\nR5 3 8 7 | 1 4 2 | 5 6 9\nR6 6 2 9 | 3 7 5 | 1 8 4\n - - - - - - - - - - - - - - - - \nR7 5 3 6 | 9 8 4 | 2 7 1\nR8 7 1 8 | . 2 3 | 9 4 6\nR9 9 4 2 | 7 6 1 | 8 5 3\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let's look at this Sudoku puzzle. The user provided a board with some cells filled in and some missing. My job is to figure out the missing numbers.\n\nStarting with row 8. The row has [7, 1, 8, ., 2, 3, 9, 4, 6]. The missing cell is in column 4 (C4). Let me check what numbers are already present in row 8. The existing numbers are 7,1,8,2,3,9,4,6. The missing number is 5 because Sudoku requires 1-9 in each row. So column 4 of row 8 should be 5. Let me confirm if that's allowed in the column and 3x3 box.\n\nLooking at column 4: R1 has 4, R2 has 2, R3 has 6, R4 has 8, R5 has 1, R6 has 3, R7 has 9, R8 is missing, R9 has 7. So column 4 has 4,2,6,8,1,3,9,7. The missing number is 5. So that's okay. \n\nNow check the 3x3 box for row 8, column 4. The box includes rows 7-9 and columns 4-6. Looking at R7's columns 4-6: 9,8,4. R8's columns 4-6: .,2,3. R9's columns 4-6:7,6,1. The existing numbers in the box are 9,8,4,2,3,7,6,1. Missing is 5. So yes, 5 fits here. \n\nSo the filled cell is [8,4,5]. That's the only missing cell in the given board. Let me check if there are others. Looking through each row:\n\nRows 1-3: All filled. Rows 4-6: All filled. Row 7: All filled. Row 9: All filled. Only row 8's column 4 is missing. So the answer is just that one cell.\n</think>\n\n<answer>\n[\n [8, 4, 5]\n]\n</answer>",
"role": "assistant"
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9,
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6
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[
9,
4,
2,
7,
6,
1,
8,
5,
3
]
]
] | 1.2 |
default
| 486 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 5 1 6 | 8 4 7 | 2 9 3\nR2 2 4 3 | 1 6 9 | 7 8 5\nR3 8 7 9 | 5 3 2 | 4 6 1\n - - - - - - - - - - - - - - - - \nR4 6 2 8 | 3 9 5 | 1 4 7\nR5 7 9 1 | 4 2 6 | 3 5 8\nR6 4 3 5 | 7 8 1 | . 2 9\n - - - - - - - - - - - - - - - - \nR7 3 6 2 | 9 1 8 | 5 7 4\nR8 9 5 4 | 6 7 3 | 8 1 2\nR9 1 8 7 | 2 5 4 | 9 3 6\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let's look at this Sudoku board. I need to find the missing cell and fill it in. Let me start by checking each row, column, and 3x3 box for any missing numbers.\n\nLooking at row 6: R6 is 4, 3, 5 in the first three cells, then 7, 8, 1, followed by a dot (which is the empty cell), 2, 9. So the empty cell is at position R6C7. Let's check what numbers are already in this row. The existing numbers are 4,3,5,7,8,1,2,9. The missing number is 6. Because Sudoku requires numbers 1-9, so 6 isn't present here. \n\nNow, I should verify if putting 6 in R6C7 is valid. Let's check column 7. Column 7 has R1:2, R2:7, R3:4, R4:1, R5:3, R6: ?, R7:5, R8:8, R9:9. The existing numbers here are 2,7,4,1,3,5,8,9. Missing is 6. So column 7 doesn't have a 6 yet. \n\nNext, check the 3x3 box that R6C7 is in. The box is the bottom-middle box (rows 4-6, columns 7-9). Looking at R4C7:1, R4C8:4, R4C9:7; R5C7:3, R5C8:5, R5C9:8; R6C7:?, R6C8:2, R6C9:9. The existing numbers in this box are 1,4,7,3,5,8,2,9. Missing is 6. So 6 is allowed here. \n\nTherefore, the only possible value for R6C7 is 6. That's the only missing cell in the entire grid. All other rows, columns, and boxes seem to be complete. So the filled cell is [6,7,6].\n</think>\n\n<answer>\n[\n [6, 7, 6]\n]\n</answer>",
"role": "assistant"
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8,
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3,
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5,
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4
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5,
4,
6,
7,
3,
8,
1,
2
],
[
1,
8,
7,
2,
5,
4,
9,
3,
6
]
]
] | 1.2 |
default
| 487 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 5 6 8 | 9 1 2 | 4 3 7\nR2 2 1 3 | 7 5 4 | 9 6 8\nR3 7 4 9 | 8 3 6 | 2 5 1\n - - - - - - - - - - - - - - - - \nR4 1 3 7 | 4 6 9 | 8 2 5\nR5 6 9 4 | 2 8 5 | 7 1 3\nR6 8 2 5 | . 7 3 | 6 4 9\n - - - - - - - - - - - - - - - - \nR7 9 8 6 | 5 2 1 | 3 7 4\nR8 3 7 1 | 6 4 8 | 5 9 2\nR9 4 5 2 | 3 9 7 | 1 8 6\n",
"role": "user"
}
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[
{
"content": "<think>\nOkay, let's look at this Sudoku board. I need to find the missing cell and fill it in. The example given has a single missing cell, so maybe there's only one to fill here.\n\nLooking at the board, most of the rows and columns are filled except for R6 C4. Let me check that area. In row 6, the cells are 8, 2, 5, then a dot (missing), 7, 3, followed by 6, 4, 9. So the missing cell is in row 6, column 4.\n\nNow, let's see what numbers are already present in row 6. The existing numbers are 8, 2, 5, 7, 3, 6, 4, 9. The missing number is 1 because Sudoku requires numbers 1-9 in each row.\n\nCheck column 4. Column 4 has: R1=9, R2=7, R3=8, R4=4, R5=2, R6=?, R7=5, R8=6, R9=3. The existing numbers here are 9,7,8,4,2,5,6,3. Missing is 1. So column 4 doesn't have a 1 yet. \n\nNow check the 3x3 box that R6C4 is in. The box is rows 4-6 and columns 4-6. Let's see:\n\nRow 4 columns 4-6: 4,6,9\nRow 5 columns 4-6: 2,8,5\nRow 6 columns 4-6: .,7,3\n\nNumbers present here are 4,6,9,2,8,5,7,3. Missing is 1. So the missing number 1 is allowed here.\n\nSo, putting it all together, the cell R6C4 must be 1. That fills in the only missing cell in the entire board. I'll make sure there's no other missing cells. Let me check again. All other rows, columns, and boxes seem completely filled. So the answer is to set [6,4,1].\n</think>\n\n<answer>\n[\n [6, 4, 1]\n]\n</answer>",
"role": "assistant"
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[
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1,
3
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[
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5,
0,
7,
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6,
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9
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[
9,
8,
6,
5,
2,
1,
3,
7,
4
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[
3,
7,
1,
6,
4,
8,
5,
9,
2
],
[
4,
5,
2,
3,
9,
7,
1,
8,
6
]
]
] | 1.2 |
default
| 488 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 3 1 5 | 8 6 2 | 7 9 4\nR2 2 4 6 | 1 7 9 | 5 3 8\nR3 7 8 9 | 4 5 3 | 6 1 2\n - - - - - - - - - - - - - - - - \nR4 4 2 3 | 5 8 6 | 1 7 9\nR5 9 7 1 | 3 2 4 | 8 5 .\nR6 6 5 8 | 9 1 7 | 2 4 3\n - - - - - - - - - - - - - - - - \nR7 8 3 2 | 7 9 5 | 4 6 1\nR8 1 9 7 | 6 4 8 | 3 2 5\nR9 5 6 4 | 2 3 1 | 9 8 7\n",
"role": "user"
}
] |
[
{
"content": "<think>\nOkay, let's look at this Sudoku board. The user provided the grid, and I need to find the missing cell. Let me start by scanning each row, column, and 3x3 box to spot where numbers are missing.\n\nLooking at R5, the fifth row. The cells are [9, 7, 1 | 3, 2, 4 | 8, 5, .]. The missing value is in column 9 (C9). Let's check which numbers are already present in this row. The row has 9,7,1,3,2,4,8,5. Missing is 6. Wait, wait. Let me count from 1 to 9. 1 is there, 2,3,4,5,7,8,9. Oh, 6 is missing. But wait, let me check the column and box to make sure there's no conflict.\n\nColumn 9: The existing numbers in column 9 are R1:4, R2:8, R3:2, R4:9, R5:., R6:3, R7:1, R8:5, R9:7. So missing in column 9 would be 6? Let me check. The existing numbers are 4,8,2,9,3,1,5,7. Yes, 6 is not present yet. Now the 3x3 box for R5C9 is the middle-right box (rows 4-6, columns 7-9). Looking at that box: R4 has 1,7,9 in C7-9; R5 has 8,5,.; R6 has 2,4,3. So existing numbers in the box are 1,7,9,8,5,2,4,3. Missing is 6. So putting 6 in R5C9 should work. \n\nIs there any other cell that needs filling? Let me check the entire board. The only empty cell is R5C9. So that's the only one to fill. Let me verify once more. The row, column, and box all allow 6 there. Yep, that's correct.\n</think>\n\n<answer>\n[\n [5, 9, 6]\n]\n</answer>",
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2,
5
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[
5,
6,
4,
2,
3,
1,
9,
8,
7
]
]
] | 1.2 |
default
| 490 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 7 1 3 | 5 2 6 | . 8 4\nR2 2 4 5 | 1 8 9 | 6 7 3\nR3 6 9 8 | 7 3 4 | 2 5 1\n - - - - - - - - - - - - - - - - \nR4 9 5 7 | 2 1 3 | 8 4 6\nR5 8 2 6 | 9 4 7 | 3 1 5\nR6 4 3 1 | 6 5 8 | 7 9 2\n - - - - - - - - - - - - - - - - \nR7 1 6 4 | 8 7 2 | 5 3 9\nR8 5 8 9 | 3 6 1 | 4 2 7\nR9 3 7 2 | 4 9 5 | 1 6 8\n",
"role": "user"
}
] |
[
{
"content": "<think>\nOkay, let's look at this Sudoku puzzle. The user provided a board where most cells are filled, but there's one missing cell in R1C7. Let me check each row, column, and 3x3 box to find where the missing numbers go.\n\nStarting with row 1: R1 has 7, 1, 3 in the first three cells. Then 5, 2, 6 in the next three. The last three cells are . (empty), 8, 4. The missing number in row 1 is in column 7. Let's see what numbers are already present in row 1. Existing numbers are 7,1,3,5,2,6,8,4. Missing is 9? Wait, 1-9 should be present. Let's check: 1,2,3,4,5,6,7,8, and missing 9. So R1C7 should be 9. But wait, let me confirm by checking the column and box as well.\n\nColumn 7: Looking at column 7. R1 is empty. R2 has 6, R3 has 2, R4 has 8, R5 has 3, R6 has 7, R7 has 5, R8 has 4, R9 has 1. Existing numbers here are 6,2,8,3,7,5,4,1. Missing are 9 and maybe others. But since the row 1 needs 9, and column 7 doesn't have 9 yet, that's possible. Also check the 3x3 box for R1C7. The box is the top-right box (rows 1-3, columns 7-9). In this box, R1 has ., 8, 4; R2 has 6,7,3; R3 has 2,5,1. Existing numbers in the box: 6,7,3,2,5,1,8,4. Missing are 9. So yes, the only possible number is 9. So R1C7 is 9. That's the only missing cell. Therefore, the answer is just that one cell filled with 9.\n</think>\n\n<answer>\n[\n [1, 7, 9]\n]\n</answer>",
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[
3,
7,
2,
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9,
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8
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default
| 498 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 5 9 4 | 8 6 7 | 3 1 2\nR2 8 3 1 | 2 9 4 | 6 5 7\nR3 2 6 7 | 5 1 3 | 9 8 4\n - - - - - - - - - - - - - - - - \nR4 . 4 5 | 1 8 6 | 2 3 9\nR5 9 1 3 | 4 5 2 | 8 7 6\nR6 6 2 8 | 3 7 9 | 1 4 5\n - - - - - - - - - - - - - - - - \nR7 4 8 9 | 7 2 1 | 5 6 3\nR8 1 7 2 | 6 3 5 | 4 9 8\nR9 3 5 6 | 9 4 8 | 7 2 1\n",
"role": "user"
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"content": "<think>\nOkay, let's look at this Sudoku puzzle. The user provided a partially filled board, and my job is to find the missing cells and fill them in. First, I need to check each row, column, and 3x3 subgrid to see where numbers are missing.\n\nStarting with row R4. The first cell (R4C1) is empty. Let's see what numbers are already present in row 4. The row has 4, 5, 1, 8, 6, 2, 3, 9. So missing numbers are 7 and maybe others? Wait, row 4 is R4: . 4 5 | 1 8 6 | 2 3 9. Let me list the existing numbers in row 4. Columns 2-9: 4,5,1,8,6,2,3,9. The missing number in row 4 is 7 and maybe 1? Wait, no. Let's count from 1-9. The existing numbers are 1,2,3,4,5,6,8,9. Missing is 7. So R4C1 must be 7. Because in row 4, column 1 is empty. Let me check column 1 as well. Column 1 has R1:5, R2:8, R3:2, R4:., R5:9, R6:6, R7:4, R8:1, R9:3. So existing numbers in column 1 are 5,8,2,9,6,4,1,3. Missing is 7. So R4C1 must be 7. That's the only possible value. So that cell is filled with 7.\n\nSo the filled cell is [4,1,7]. That's the only missing cell in the entire grid. Let me check other rows. For example, row R4 has all other cells filled except that one. All other rows seem to be completely filled. Let me check the entire board. R1 is filled. R2, R3, R5 to R9 all have no empty cells. So the only missing cell is R4C1. Therefore, the answer should be that single cell with 7.\n</think>\n\n<answer>\n[\n [4, 1, 7]\n]\n</answer>",
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5,
6,
9,
4,
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1
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default
| 508 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 2 1 5 | 8 7 6 | 9 4 3\nR2 3 8 9 | 1 2 4 | 5 6 7\nR3 7 4 6 | 9 5 3 | 1 8 2\n - - - - - - - - - - - - - - - - \nR4 6 5 7 | 2 4 1 | 8 3 9\nR5 9 3 1 | 7 6 8 | 2 5 .\nR6 4 2 8 | 3 9 5 | 7 1 6\n - - - - - - - - - - - - - - - - \nR7 5 6 2 | 4 8 9 | 3 7 1\nR8 8 7 3 | 6 1 2 | 4 9 5\nR9 1 . 4 | 5 3 7 | 6 2 8\n",
"role": "user"
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{
"content": "<think>\nAlright, let's tackle this Sudoku puzzle. First, I'll look at the given board and see where the missing numbers are. The board is almost complete, so there should be only a few cells left to fill.\n\nLooking at R5, the ninth column has a dot. The existing numbers in R5 are 9, 3, 1, 7, 6, 8, 2, 5. The missing number is 4 because the numbers 1-9 must be present once each. So R5C9 is 4.\n\nNext, R9 has a dot in the second column. The existing numbers in R9 are 1, 4, 5, 3, 7, 6, 2, 8. The missing number is 9. So R9C2 is 9.\n\nWait, let me double-check. The row R9 has numbers 1, ., 4, 5, 3, 7, 6, 2, 8. The missing number in the row is 9. Also, checking column 2: existing numbers are 1,8,4,5,3,2,6,7. So 9 isn't there yet, so R9C2 must be 9.\n\nSo the two missing cells are R5C9 and R9C2. Let me confirm that these placements don't conflict with their respective rows, columns, or 3x3 boxes. For R5C9 (row 5, column 9), the column 9 has 3,7,2,9,5,8,1,6. The missing is 4. The box (middle-right) has 8,2,7; 6,1,5; 9,4,6. Wait, the middle-right box is rows 4-6 and columns 7-9. Let's check: R4C7-9: 8,3,9; R5C7-9: 2,5,4 (after filling); R6C7-9:7,1,6. So 4 is not in the box yet. So yes, R5C9 is 4. And R9C2 is 9. Both placements are correct.\n</think>\n\n<answer>\n[\n [5, 9, 4],\n [9, 2, 9]\n]\n</answer>",
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0,
4,
5,
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default
| 513 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 3 5 4 | 7 9 8 | 2 6 1\nR2 6 2 8 | 5 1 4 | 9 3 7\nR3 9 1 7 | 6 3 2 | 8 4 5\n - - - - - - - - - - - - - - - - \nR4 4 7 3 | 8 6 1 | 5 2 9\nR5 2 8 6 | 9 5 7 | 4 1 3\nR6 1 9 5 | 2 . 3 | 6 7 8\n - - - - - - - - - - - - - - - - \nR7 8 4 1 | 3 2 5 | 7 9 6\nR8 7 3 9 | 4 8 6 | 1 5 2\nR9 5 6 2 | 1 7 9 | 3 8 4\n",
"role": "user"
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{
"content": "<think>\nOkay, let's see. I need to solve this Sudoku puzzle. The board is given, and there's a missing cell in R6 C5. Let me check that.\n\nLooking at row 6: the numbers present are 1, 9, 5, 2, 3, 6, 7, 8. Missing is the number in column 5, which is currently a dot. The numbers already in row 6 are 1,2,3,5,6,7,8,9. So missing in row 6 is 4. Wait, let's confirm. Let's list all the numbers in row 6. R6: C1=1, C2=9, C3=5, C4=2, C6=3, C7=6, C8=7, C9=8. So the numbers present are 1,2,3,5,6,7,8,9. The missing number is 4. Therefore, R6C5 must be 4. Let me check if that's allowed in the 3x3 box. \n\nRow 6 is part of the bottom-middle 3x3 box (rows 4-6, columns 4-6). Let's check existing numbers in that box. R4C4=8, R4C5=6, R4C6=1; R5C4=9, R5C5=5, R5C6=7; R6C4=2, R6C5 is the missing cell, R6C6=3. So existing numbers in the box are 8,6,1,9,5,7,2,3. The missing number here is 4. So yes, putting 4 in R6C5 is valid. Also, checking column 5. Column 5: R1=9, R2=1, R3=3, R4=6, R5=5, R6=?, R7=2, R8=8, R9=7. Existing numbers: 1,2,3,5,6,7,8,9. Missing is 4. So all checks confirm that R6C5 must be 4. Therefore, the only cell to fill is [6,5,4].\n</think>\n\n<answer>\n[\n [6, 5, 4]\n]\n</answer>",
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2
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6,
2,
1,
7,
9,
3,
8,
4
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] | 1.2 |
default
| 515 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 5 2 1 | 9 8 3 | 6 7 4\nR2 9 3 7 | 6 5 . | 1 8 2\nR3 6 4 8 | 1 7 2 | 9 5 3\n - - - - - - - - - - - - - - - - \nR4 7 6 3 | 8 1 5 | 2 4 9\nR5 8 9 4 | 7 2 6 | 3 1 5\nR6 1 5 2 | 3 4 9 | 8 6 7\n - - - - - - - - - - - - - - - - \nR7 2 8 6 | 4 9 7 | 5 3 1\nR8 3 7 5 | 2 6 1 | 4 9 8\nR9 4 1 9 | 5 3 8 | 7 2 6\n",
"role": "user"
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{
"content": "<think>\nOkay, let's look at this Sudoku board. The user provided a partially filled grid, and I need to find the missing cells. First, I'll check each row, column, and 3x3 box to see where numbers are missing.\n\nLooking at row R2, column C6 has a dot, which means it's empty. Let's check what's in that row. R2 has 9,3,7 in the first three columns. The middle section (columns 4-6) has 6,5, and then a dot. The last section has 1,8,2. So in row 2, the existing numbers are 9,3,7,6,5,1,8,2. Missing numbers here would be 4? Wait, let me count. The numbers 1-9 should all be there except for the missing cell. Let me list them: existing numbers are 1,2,3,5,6,7,8,9. Missing is 4. So the cell at R2C6 should be 4. \n\nWait, let me confirm. The row R2 is [9,3,7 | 6,5, . | 1,8,2]. The existing numbers are 9,3,7,6,5,1,8,2. The missing is 4. So yes, R2C6 is 4.\n\nNow, let's check if there are any other missing cells. Let's go through each row. \n\nRow R1 is already filled: all numbers from 1-9 are present. Same with R3, R4, R5, R6, R7, R8, R9. So the only missing cell is R2C6 with value 4. \n\nSo the filled cell should be [2,6,4]. Wait, but in the problem statement, the user mentioned that the output is a list of all filled cells. Since only one cell is missing, that's the only entry. \n\nDouble-checking to make sure there are no other empty cells. Looking at the provided board:\n\nR1 has all numbers. R2 has a dot in C6. R3 is filled. R4-R9 are all filled. So yes, only one cell to fill. So the answer should be [[2,6,4]].\n</think>\n\n<answer>\n[\n [2, 6, 4]\n]\n</answer>",
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8
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[
4,
1,
9,
5,
3,
8,
7,
2,
6
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] | 1.2 |
default
| 515 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 5 4 6 | 8 9 2 | 7 3 1\nR2 1 9 7 | 6 5 3 | 2 8 4\nR3 3 8 . | 1 7 4 | 5 6 9\n - - - - - - - - - - - - - - - - \nR4 9 5 8 | 3 4 7 | 6 1 2\nR5 7 1 4 | 2 6 9 | 3 5 8\nR6 6 2 3 | 5 8 1 | 4 9 7\n - - - - - - - - - - - - - - - - \nR7 2 3 5 | 7 1 8 | 9 4 6\nR8 4 6 1 | 9 2 5 | 8 7 3\nR9 8 7 9 | 4 3 6 | 1 2 5\n",
"role": "user"
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{
"content": "<think>\nOkay, let's take a look at this Sudoku puzzle. The user provided a board where most cells are filled, but there's one missing cell in R3C3. Let me verify each row, column, and 3x3 box to confirm.\n\nStarting with row 3: R3 has 3, 8, ., 1, 7, 4, 5, 6, 9. The missing number in the row needs to be a digit from 1-9 not present. Existing numbers are 3,8,1,7,4,5,6,9. Missing are 2. Wait, but wait, the third column (C3) in row 3 is the one with the dot. Let me check column 3. Column 3 has R1:6, R2:7, R3:., R4:8, R5:4, R6:3, R7:5, R8:1, R9:9. So existing numbers in column 3 are 6,7,8,4,3,5,1,9. Missing is 2. Therefore, R3C3 must be 2. \n\nAlso, checking the 3x3 box for R3C3. The box is the top-middle box (rows 1-3, columns 4-6?), no, wait. Wait, the boxes are divided as follows. The cell R3C3 is in the top-left box (rows 1-3, columns 1-3). Let me check that box. In that box, existing numbers are R1:5,4,6; R2:1,9,7; R3:3,8,?. So existing numbers are 5,4,6,1,9,7,3,8. Missing is 2. So yes, R3C3 must be 2. \n\nNo conflicts here. So the only cell to fill is [3,3,2]. Let me make sure there are no other empty cells. Scanning through the entire grid:\n\nRow 1: all filled. Row 2: all filled. Row 3: only C3 is missing. Rows 4-9 all seem completely filled. So the only missing cell is R3C3 with value 2. The answer should be a list with that single entry.\n</think>\n\n<answer>\n[\n [3, 3, 2]\n]\n</answer>",
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[
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[
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[
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[
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[
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[
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2
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4,
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6,
9,
3,
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8
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[
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2,
3,
5,
8,
1,
4,
9,
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[
2,
3,
5,
7,
1,
8,
9,
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6
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[
4,
6,
1,
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2,
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8,
7,
3
],
[
8,
7,
9,
4,
3,
6,
1,
2,
5
]
]
] | 1.2 |
default
| 522 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 1 5 6 | 9 8 3 | 4 7 2\nR2 9 7 3 | 2 4 1 | 5 6 8\nR3 8 4 2 | 6 5 7 | 3 1 9\n - - - - - - - - - - - - - - - - \nR4 7 3 4 | 1 9 2 | 8 5 6\nR5 2 . 9 | 5 6 8 | 7 4 3\nR6 5 6 8 | 7 3 4 | 2 9 1\n - - - - - - - - - - - - - - - - \nR7 3 8 1 | 4 7 6 | 9 2 5\nR8 6 9 7 | 8 2 5 | 1 3 4\nR9 4 2 5 | 3 1 9 | 6 8 7\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let's see. I need to solve this Sudoku puzzle. Let me look at the given board first.\n\nLooking at row R5, there's a missing cell in column 2 (since R5 is [2, ., 9 | 5, 6, 8 | 7, 4, 3]). So the missing number in R5 is the second column. Let me check what numbers are already present in that row. The row has 2, 9, 5, 6, 8, 7, 4, 3. The missing number is 1 because the numbers 1-9 should be there. Wait, wait, let me recount. The row R5 is 2, ., 9 in the first three columns. Then 5,6,8 in the middle, and 7,4,3. So existing numbers are 2,9,5,6,8,7,4,3. Missing is 1. So the cell at R5C2 should be 1.\n\nLet me confirm if that's allowed. Check column 2. Column 2 has in R1:5, R2:7, R3:4, R4:3, R5:., R6:6, R7:8, R8:9, R9:2. So existing numbers are 5,7,4,3,6,8,9,2. So 1 is missing here. Also, check the 3x3 box. R5 is in the middle box (rows 4-6, columns 4-6?), no, wait. Wait, the Sudoku is divided into 3x3 boxes. Let me think. R5 is in the middle row. The cell R5C2 is in the second row of the middle-left 3x3 box (rows 4-6, columns 1-3). Let me check that box. The box includes R4:7,3,4; R5:2,.,9; R6:5,6,8. So existing numbers are 7,3,4,2,9,5,6,8. Missing is 1. So yes, putting 1 there is valid.\n\nSo the only missing cell is R5C2 with value 1. Therefore, that's the only cell to fill.\n</think>\n\n<answer>\n[\n [5, 2, 1]\n]\n</answer>",
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1,
3,
4
],
[
4,
2,
5,
3,
1,
9,
6,
8,
7
]
]
] | 1.2 |
default
| 523 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 5 4 8 | 9 1 7 | 2 3 6\nR2 9 1 7 | 2 3 . | 4 5 8\nR3 6 2 3 | 4 5 8 | 1 9 7\n - - - - - - - - - - - - - - - - \nR4 8 5 9 | 1 4 3 | 6 7 2\nR5 2 6 4 | 5 7 9 | 8 1 3\nR6 7 3 1 | 8 6 2 | 9 4 5\n - - - - - - - - - - - - - - - - \nR7 3 9 6 | 7 2 4 | 5 8 1\nR8 4 7 5 | 6 8 1 | 3 2 9\nR9 1 8 2 | 3 9 5 | 7 6 4\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let's see. The user provided a Sudoku puzzle and wants me to solve it. First, I need to check the given board to find the missing cells. Let me start by looking at each row, column, and 3x3 box to identify where numbers are missing.\n\nLooking at the board, the only cell with a '.' is in R2 C6. Let me check row 2. The existing numbers in row 2 are 9, 1, 7, 2, 3, and then the missing cell, followed by 4, 5, 8. So the missing number in this row is 6. Because the numbers 1-9 must be present once each in a row. Let me confirm by checking the column as well. Column 6 (C6) has 7, ., 8, 3, 9, 2, 4, 1, 5. So existing numbers in column 6 are 7,8,3,9,2,4,1,5. The missing number here is 6. Also, the 3x3 box for row 2, column 6 is the middle-right box. Let's see: in that box, the existing numbers are 9,1,7 in row 2's first part; then 2,3, (missing) in row 2's middle. The other rows in this box (rows 3 and 4, maybe?) Wait, the middle-right box is rows 1-3 for columns 4-6. Wait, row 2 is part of the middle box. Let me check. For the middle-right box (columns 4-6, rows 1-3). The numbers already present in this box are: row1 has 9,1,7; row2 has 2,3, and missing; row3 has 4,5,8. So existing numbers are 9,1,7,2,3,4,5,8. Missing is 6. So yes, the missing cell at R2C6 is 6. That fills the only empty cell in the entire grid. All other cells are filled. Therefore, the only cell to fill is [2,6,6]. Wait, but in the given puzzle, the '.' is in R2C6. So the answer is just that one cell.\n</think>\n\n<answer>\n[\n [2, 6, 6]\n]\n</answer>",
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5,
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[
7,
3,
1,
8,
6,
2,
9,
4,
5
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[
3,
9,
6,
7,
2,
4,
5,
8,
1
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[
4,
7,
5,
6,
8,
1,
3,
2,
9
],
[
1,
8,
2,
3,
9,
5,
7,
6,
4
]
]
] | 1.2 |
default
| 523 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 1 3 5 | 6 . 2 | 7 8 4\nR2 8 4 9 | 5 1 7 | 2 3 6\nR3 7 2 6 | 4 8 3 | 5 9 1\n - - - - - - - - - - - - - - - - \nR4 6 5 4 | 1 3 9 | 8 2 7\nR5 9 1 7 | 2 5 8 | 4 6 3\nR6 3 8 2 | 7 4 6 | 9 1 5\n - - - - - - - - - - - - - - - - \nR7 4 6 8 | 3 2 5 | 1 7 9\nR8 5 9 3 | 8 7 1 | 6 4 2\nR9 2 7 1 | 9 6 4 | 3 5 8\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let's look at this Sudoku puzzle. The user provided a board where most cells are filled, but there's one missing cell at R1C5 (row 1, column 5). Let me check each row, column, and 3x3 box to find where the missing numbers go.\n\nStarting with row 1: The numbers present are 1, 3, 5 in the first three columns. Then in the middle section, 6, ., 2. The last part has 7, 8, 4. So missing numbers in row 1 must be 9 and the one at position C5. Wait, let me list all numbers 1-9. Let's see: existing numbers in row 1 are 1,3,5,6,2,7,8,4. Missing is 9. Wait, but column 5 (C5) in row 1 is empty. Let me check column 5. Column 5 has R1's C5 as empty. Let's look at column 5's existing numbers. R2 has 1, R3 has 8, R4 has 3, R5 has 5, R6 has 4, R7 has 2, R8 has 7, R9 has 6. So existing numbers in column 5 are 1,8,3,5,4,2,7,6. Missing is 9. So the missing number in R1C5 must be 9. Let me confirm the 3x3 box. R1C5 is in the top-middle box (rows 1-3, columns 4-6). That box has 6, ., 2 in row 1; 5,1,7 in row 2; 4,8,3 in row 3. Existing numbers here include 6,2,5,1,7,4,8,3. So missing is 9. Therefore, R1C5 must be 9. That's the only cell left here. So the only missing cell is [1,5,9]. Let me check if there are any other empty cells. Looking at the provided board, all other rows seem complete. For example, row 1 has only one missing. All other rows have all numbers filled. So the filled cell is [row 1, column 5, 9].\n</think>\n\n<answer>\n[\n [1, 5, 9]\n]\n</answer>",
"role": "assistant"
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3,
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2,
7,
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6,
9,
1,
5
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[
4,
6,
8,
3,
2,
5,
1,
7,
9
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[
5,
9,
3,
8,
7,
1,
6,
4,
2
],
[
2,
7,
1,
9,
6,
4,
3,
5,
8
]
]
] | 1.2 |
default
| 529 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 1 5 3 | 6 9 4 | . 7 2\nR2 9 6 7 | 8 1 2 | 4 3 5\nR3 2 4 8 | 5 7 3 | 9 1 6\n - - - - - - - - - - - - - - - - \nR4 5 3 2 | 9 8 6 | 7 . 1\nR5 4 8 1 | 2 3 7 | 6 5 9\nR6 7 9 6 | 1 4 5 | 3 2 8\n - - - - - - - - - - - - - - - - \nR7 8 1 4 | 3 2 9 | 5 6 7\nR8 6 7 9 | 4 5 1 | 2 8 3\nR9 3 2 5 | 7 6 8 | 1 9 4\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let's look at this Sudoku board and see where the missing numbers are. The example given has a filled cell in R1C7 (row 1, column 7) which is marked as a dot. My job is to find all the missing cells and fill them in.\n\nStarting with row 1. The first row (R1) is 1, 5, 3, 6, 9, 4, . ,7, 2. The missing number in R1 is in column 7. Let's check what numbers are already present in row 1. The existing numbers are 1,5,3,6,9,4,7,2. The missing number here must be 8 because Sudoku requires numbers 1-9. Wait, let me check again: 1,5,3,6,9,4, then the seventh column is empty. The existing numbers in row 1 are 1,5,3,6,9,4,7,2. So the missing number is 8. So R1C7 should be 8. That's one filled cell.\n\nLooking at row 4. R4 is 5,3,2,9,8,6,7,.,1. The missing is column 8. Let's check existing numbers in row 4: 5,3,2,9,8,6,7,1. The missing number is 4. So R4C8 should be 4. That's another filled cell.\n\nAre there any other missing cells? Let me check the entire board again. \n\nLooking through each row:\n\nR1: one missing (filled as 8)\nR2: all filled\nR3: all filled\nR4: one missing (filled as 4)\nR5: all filled\nR6: all filled\nR7: all filled\nR8: all filled\nR9: all filled\n\nSo the only missing cells are R1C7 and R4C8. Wait, let me double-check each row to make sure I didn't miss any other dots.\n\nLooking again:\n\nR1 has one dot at C7 (filled)\nR4 has one dot at C8 (filled)\nOther rows have no dots. So those two cells are the only ones to fill. \n\nTherefore, the answer is those two cells filled with 8 and 4 respectively.\n</think>\n\n<answer>\n[\n [1, 7, 8],\n [4, 8, 4]\n]\n</answer>",
"role": "assistant"
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[
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[
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6,
1,
4,
5,
3,
2,
8
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[
8,
1,
4,
3,
2,
9,
5,
6,
7
],
[
6,
7,
9,
4,
5,
1,
2,
8,
3
],
[
3,
2,
5,
7,
6,
8,
1,
9,
4
]
]
] | 1.2 |
default
| 535 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 6 1 3 | 8 7 5 | 2 4 9\nR2 5 2 7 | 6 4 9 | 3 1 8\nR3 8 9 4 | 2 3 1 | 5 7 6\n - - - - - - - - - - - - - - - - \nR4 1 8 9 | 3 2 6 | 4 5 7\nR5 . 4 6 | 1 5 8 | 9 2 3\nR6 3 5 2 | 4 9 7 | 6 8 1\n - - - - - - - - - - - - - - - - \nR7 4 3 8 | 9 1 2 | 7 6 5\nR8 2 7 1 | 5 6 3 | 8 9 4\nR9 9 6 5 | 7 8 4 | 1 3 2\n",
"role": "user"
}
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[
{
"content": "<think>\nOkay, let's take a look at this Sudoku puzzle. The user provided a partially filled board, and I need to find the missing cells. Let me start by checking each row, column, and 3x3 subgrid for any obvious missing numbers.\n\nFirst, looking at row R5. The current entries are . 4 6 | 1 5 8 | 9 2 3. The empty cell is in column 1 (C1). Let's check what numbers are already present in this row. The row has 4,6,1,5,8,9,2,3. Missing numbers are 7? Wait, 1-9: 1,2,3,4,5,6,7,8,9. The existing numbers are 1,2,3,4,5,6,8,9. So missing is 7. But wait, let me check column C1 for row R5. Column C1: R1 has 6, R2 5, R3 8, R4 1, R5 is empty, R6 3, R7 4, R8 2, R9 9. So column C1 has 6,5,8,1,3,4,2,9. Missing in column C1 is 7. Also, the subgrid for R5,C1 is the middle-left subgrid (rows 4-6, columns 1-3). Let's see what's in that subgrid. R4: 1,8,9; R5: .,4,6; R6:3,5,2. So existing numbers are 1,8,9,4,6,3,5,2. Missing is 7. Therefore, the cell at R5,C1 must be 7. That's the only possible number here. So that's the only missing cell in the entire puzzle? Let me check other rows. All other rows seem to be filled except R5. Let me verify if there are any other empty cells. Looking at the given board:\n\nR1 is all filled. R2 and R3 are complete. R4 is filled. R5 has one dot in C1. R6 is filled. R7, R8, R9 all look complete. So the only missing cell is R5,C1 with value 7. Therefore, the answer should be [[5,1,7]].\n</think>\n\n<answer>\n[\n [5, 1, 7]\n]\n</answer>",
"role": "assistant"
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4
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[
9,
6,
5,
7,
8,
4,
1,
3,
2
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]
] | 1.2 |
default
| 541 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 2 4 7 | 9 1 3 | 6 8 5\nR2 6 9 5 | 8 7 2 | 3 1 4\nR3 8 3 1 | 4 5 6 | 7 2 9\n - - - - - - - - - - - - - - - - \nR4 9 1 2 | 3 8 5 | 4 7 6\nR5 4 6 8 | 1 9 7 | 5 3 2\nR6 5 7 3 | 2 6 4 | 1 9 8\n - - - - - - - - - - - - - - - - \nR7 1 8 6 | 5 3 9 | 2 4 7\nR8 7 2 9 | 6 4 1 | 8 5 3\nR9 3 5 4 | 7 2 8 | . 6 1\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let's look at this Sudoku puzzle. The user provided a board where most cells are filled, but there's one missing in row 9, column 7. Let me check the last row (R9). The cells are 3, 5, 4 in columns 1-3, then 7, 2, 8 in columns 4-6. Column 7 is empty (marked as .), and columns 8 and 9 are 6 and 1. So the missing value is in R9C7.\n\nI need to determine what number goes there. Let's see what numbers are already present in row 9. The existing numbers are 3,5,4,7,2,8,6,1. Wait, the row is [3,5,4 | 7,2,8 | . ,6,1]. So the existing numbers in row 9 are 3,5,4,7,2,8,6,1. The missing number is 9? Wait, let me check. The numbers 1-9 should be present once. Let's list them: 1 is present, 2 is there, 3,4,5,6,7,8. The missing one is 9. So R9C7 should be 9. \n\nLet me cross-verify with column 7 and the 3x3 box. Column 7 has values from each row: R1C7 is 6, R2C7 3, R3C7 7, R4C7 4, R5C7 5, R6C7 1, R7C7 2, R8C7 8. So column 7 has 6,3,7,4,5,1,2,8. Missing in column 7 are 9. So 9 is allowed here. \n\nNow the 3x3 box for R9C7 is the bottom-right box (rows 7-9, columns 7-9). In this box, R7 has 2,4,7; R8 has 8,5,3; R9 has . ,6,1. The existing numbers in the box are 2,4,7,8,5,3,6,1. Missing is 9. So yes, 9 is the correct value for R9C7. \n\nTherefore, the only missing cell is [9,7,9].\n</think>\n\n<answer>\n[\n [9, 7, 9]\n]\n</answer>",
"role": "assistant"
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3
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[
3,
5,
4,
7,
2,
8,
0,
6,
1
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]
] | 1.2 |
default
| 546 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 4 3 2 | 6 7 9 | 8 5 1\nR2 8 9 6 | 3 5 1 | 4 7 2\nR3 7 1 5 | 2 8 4 | 3 6 9\n - - - - - - - - - - - - - - - - \nR4 5 4 9 | 7 2 3 | 6 1 8\nR5 2 6 1 | 9 4 8 | 5 3 7\nR6 3 7 8 | 5 1 6 | 2 9 .\n - - - - - - - - - - - - - - - - \nR7 6 5 7 | 4 9 2 | 1 8 3\nR8 9 8 4 | 1 3 5 | 7 2 6\nR9 1 2 3 | 8 6 7 | 9 4 5\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let me look at this Sudoku puzzle. The board is mostly filled in except for one cell. Let me check each row, column, and 3x3 subgrid to find where the missing number is.\n\nLooking at row R6, column C9 has a dot, which means it's empty. The current numbers in row R6 are 3, 7, 8 in the first three columns, then 5, 1, 6 in the middle, and 2, 9, and then the last one is missing. So the existing numbers in that row are 3,7,8,5,1,6,2,9. The missing number must be 4 because the numbers 1-9 should all be present once.\n\nWait, let me double-check. The row R6 is [3,7,8 | 5,1,6 | 2,9,.]. Let's list out all numbers in the row: 3,7,8,5,1,6,2,9. The missing one is indeed 4. But I should check the column and subgrid to make sure that 4 is allowed here.\n\nColumn C9 for the missing cell: looking at column C9, the values are 1 (R1), 2 (R2),9 (R3),8 (R4),7 (R5),. (R6),3 (R7),6 (R8),5 (R9). So existing numbers are 1,2,9,8,7,3,6,5. The missing is 4. So column allows 4.\n\nNow the subgrid. The cell R6,C9 is in the bottom-middle subgrid (rows 4-6, columns 7-9). Wait, no, columns 7-9 are the third subgrid. Wait, R6 is in the middle row of the subgrid. Let me check the subgrid for R6,C9. The subgrid is rows 4-6 and columns 7-9. Let's look at that subgrid's existing numbers:\n\nRow4: 6,1,8\nRow5:5,3,7\nRow6:2,9,.\nSo existing numbers here are 6,1,8,5,3,7,2,9. Missing is 4. So yes, 4 is allowed.\n\nTherefore, the missing cell at R6,C9 must be 4. That's the only possible number.\n</think>\n\n<answer>\n[\n [6, 9, 4]\n]\n</answer>",
"role": "assistant"
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4,
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[
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1,
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2,
9,
0
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[
6,
5,
7,
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1,
8,
3
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[
9,
8,
4,
1,
3,
5,
7,
2,
6
],
[
1,
2,
3,
8,
6,
7,
9,
4,
5
]
]
] | 1.2 |
default
| 548 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 6 5 7 | 2 8 3 | 4 1 9\nR2 1 4 8 | 7 9 5 | 3 6 2\nR3 3 9 . | 1 4 6 | 8 7 5\n - - - - - - - - - - - - - - - - \nR4 4 3 9 | 6 1 2 | 7 5 8\nR5 8 1 5 | 4 3 7 | 2 9 6\nR6 7 2 6 | 8 5 9 | 1 4 3\n - - - - - - - - - - - - - - - - \nR7 2 6 3 | 5 7 1 | 9 8 4\nR8 9 7 4 | 3 6 8 | 5 2 1\nR9 5 8 1 | 9 2 4 | 6 3 7\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let's see. The user provided a Sudoku puzzle and wants me to solve it. First, I need to check the given board to find the missing cells. The board is mostly filled except for one cell in R3C3. Let me confirm that.\n\nLooking at row 3: R3 has values 3, 9, . in columns 1, 2, 3. Then columns 4-9 are filled. So the missing cell is at R3C3. Now, I need to figure out what number goes there.\n\nSudoku rules say that each row, column, and 3x3 subgrid must contain numbers 1-9 without repetition. Let's check the row first. Row 3 already has 3, 9, and the rest from columns 4-9 are 1,4,6,8,7,5. So existing numbers in row 3 are 3,9,1,4,6,8,7,5. Missing numbers are 2 and maybe others? Wait, let me list them properly. The row has 3, 9, ?, then 1,4,6,8,7,5. So existing numbers are 1,3,4,5,6,7,8,9. Missing is 2. So possible value is 2 for R3C3.\n\nNow check the column for column 3. Column 3's values are R1:7, R2:8, R3: ?, R4:9, R5:5, R6:6, R7:3, R8:4, R9:1. So existing numbers are 7,8,9,5,6,3,4,1. Missing are 2. So that fits. So R3C3 must be 2.\n\nAlso check the subgrid. The subgrid for R3C3 is the top-middle 3x3. Rows 1-3, columns 1-3. Let's see existing numbers in that subgrid. Row1: 6,5,7. Row2:1,4,8. Row3:3,9,?. So existing numbers are 6,5,7,1,4,8,3,9. Missing is 2. So again, 2 is the only possible number.\n\nTherefore, the missing cell R3C3 is 2. That's the only cell left, so the solution should just have that one entry.\n</think>\n\n<answer>\n[\n [3, 3, 2]\n]\n</answer>",
"role": "assistant"
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2,
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1,
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7,
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5,
2,
1
],
[
5,
8,
1,
9,
2,
4,
6,
3,
7
]
]
] | 1.2 |
default
| 548 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 2 9 5 | 7 6 1 | 8 3 4\nR2 8 3 4 | 5 9 2 | 7 1 6\nR3 7 1 6 | 8 4 3 | 2 5 9\n - - - - - - - - - - - - - - - - \nR4 3 7 8 | 4 1 6 | 9 2 5\nR5 4 5 1 | 9 2 8 | 6 7 3\nR6 9 6 2 | 3 7 5 | 1 4 8\n - - - - - - - - - - - - - - - - \nR7 1 4 9 | 6 3 7 | 5 8 2\nR8 5 2 3 | 1 8 9 | 4 6 7\nR9 6 . 7 | 2 5 4 | 3 9 1\n",
"role": "user"
}
] |
[
{
"content": "<think>\nOkay, let's look at this Sudoku puzzle. The user provided a board where most cells are already filled, except for one cell in R9C2. Let me check each row, column, and 3x3 box to find where the missing number should go.\n\nStarting with row 9. The current numbers are 6, ., 7, 2, 5, 4, 3, 9, 1. The missing number is in column 2. Let's see which numbers are already present in row 9: 6,7,2,5,4,3,9,1. The missing number must be 8 because numbers 1-9 should be present once each. \n\nBut wait, I should also check the column for column 2. Looking at column 2 across all rows: R1 has 9, R2 has 3, R3 has 1, R4 has 7, R5 has 5, R6 has 6, R7 has 4, R8 has 2, and R9 has a missing value. Let's list the existing numbers in column 2: 9,3,1,7,5,6,4,2. The missing number here is 8 as well. \n\nNow check the 3x3 box that R9C2 is in. The box is the bottom-middle box (rows 7-9, columns 4-6? Wait, no. Wait, boxes are divided as follows: columns 1-3, 4-6, 7-9 for each row group. For R9C2, column 2 is in the first three columns (columns 1-3) of the bottom box (rows 7-9). Wait, R9C2 is in the third row group (rows 7-9) and the first column group (columns 1-3). So the box includes cells from R7-R9 and C1-C3. Let's look at those cells:\n\nR7: 1,4,9\nR8:5,2,3\nR9:6, . ,7\n\nThe existing numbers in this box are 1,4,9,5,2,3,6,7. The missing number here is 8. So R9C2 must be 8 to satisfy the row, column, and box constraints.\n\nTherefore, the only missing cell is [9, 2, 8]. The answer should be that single cell.\n</think>\n\n<answer>\n[\n [9, 2, 8]\n]\n</answer>",
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6,
7
],
[
6,
0,
7,
2,
5,
4,
3,
9,
1
]
]
] | 1.2 |
default
| 551 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 9 1 6 | 4 7 5 | 8 3 2\nR2 5 7 8 | 9 3 2 | 4 6 1\nR3 2 3 4 | . 8 1 | 9 7 5\n - - - - - - - - - - - - - - - - \nR4 1 8 9 | 2 4 3 | 7 5 6\nR5 7 4 3 | 1 5 6 | 2 9 8\nR6 6 5 2 | 7 9 8 | 1 4 3\n - - - - - - - - - - - - - - - - \nR7 8 2 7 | 5 6 4 | 3 1 9\nR8 3 9 5 | 8 1 7 | 6 2 4\nR9 4 6 1 | 3 2 9 | 5 8 7\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let's look at this Sudoku board and see where the missing cell is. The user provided the board with R3, C4 (row 3, column 4) marked as a dot, which means it's empty. All other cells are filled. So my job is to figure out what number goes there.\n\nFirst, I need to check the row, column, and 3x3 box that this cell belongs to. Let's start with the row. Row 3 has the numbers 2, 3, 4 in the first three columns. Then there's a dot in C4. The rest of row 3 after the dot is 8, 1, 9, 7, 5. So existing numbers in row 3 are 2,3,4,8,1,9,7,5. The missing number is 6? Wait, let me list all numbers from 1-9 and see which are missing. Let's see:\n\nRow 3: 2,3,4, [missing], 8,1,9,7,5. Let's count. The numbers present are 1,2,3,4,5,7,8,9. Missing is 6. So possible value is 6. But I need to check column and box as well.\n\nNow check column 4. Column 4 has the following entries:\n\nR1:4, R2:9, R3:., R4:2, R5:1, R6:7, R7:5, R8:8, R9:3. So existing numbers in column 4 are 4,9,2,1,7,5,8,3. Missing is 6. So column doesn't have a 6 either. Now check the 3x3 box. The cell R3C4 is in the top-middle box (rows 1-3, columns 4-6). Let's look at that box:\n\nRow 1 columns 4-6: 4,7,5\nRow 2 columns 4-6:9,3,2\nRow 3 columns 4-6: . (C4), 8, 1\n\nSo existing numbers in this box are 4,7,5,9,3,2,8,1. Missing number is 6. So all three checks (row, column, box) don't have a 6. Therefore, R3C4 must be 6. That's the only possible number. So the filled cell is [3,4,6].\n</think>\n\n<answer>\n[\n [3, 4, 6]\n]\n</answer>",
"role": "assistant"
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[
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7,
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6,
2,
4
],
[
4,
6,
1,
3,
2,
9,
5,
8,
7
]
]
] | 1.2 |
default
| 569 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 6 2 8 | 1 3 9 | . 5 7\nR2 4 3 1 | 5 7 8 | 9 2 6\nR3 5 9 7 | 6 2 4 | 1 3 8\n - - - - - - - - - - - - - - - - \nR4 3 8 6 | 2 5 1 | 7 9 4\nR5 7 1 5 | 4 9 3 | 6 8 2\nR6 2 4 9 | 8 6 7 | 5 1 3\n - - - - - - - - - - - - - - - - \nR7 1 6 4 | 9 8 2 | 3 7 5\nR8 9 7 2 | 3 4 5 | 8 6 1\nR9 8 5 3 | 7 1 6 | 2 4 9\n",
"role": "user"
}
] |
[
{
"content": "<think>\nOkay, let's look at this Sudoku puzzle. The user provided a board where most cells are filled except for one in R1C7. Let me check each row, column, and 3x3 box to find where numbers are missing.\n\nStarting with row 1: R1 has 6, 2, 8 in the first three cells. Then 1, 3, 9 in the next three. The last three cells are . (empty), 5, 7. So the missing number in row 1 is in column 7 (R1C7). Let's see what numbers are already present in row 1: 1,2,3,6,7,8,9. Missing are 4 and 5? Wait, the existing numbers in row 1 are 6,2,8,1,3,9,5,7. Wait, looking at the row again: R1 is [6,2,8 | 1,3,9 | . ,5,7]. So the existing numbers are 6,2,8,1,3,9,5,7. The missing number is 4. Because numbers 1-9 must all be there. So R1C7 should be 4.\n\nNow check the column for column 7. Column 7 has in each row: R1 is empty, R2 is 9, R3 is 1, R4 is 7, R5 is 6, R6 is 5, R7 is 3, R8 is 8, R9 is 2. So existing numbers in column 7 are 1,2,3,5,6,7,8,9. The missing is 4. So that fits with the row's missing number. Also, check the 3x3 box. The box for R1C7 is the top-right box (rows 1-3, columns 7-9). The existing numbers in that box are: R1 has .,5,7; R2 has 9,2,6; R3 has 1,3,8. So existing numbers are 1,2,3,5,6,7,8,9. Missing is 4. Therefore, R1C7 must be 4. That's the only cell missing here. So the filled cell is [1,7,4]. I think that's the only one needed here. Let me double-check to make sure there are no other missing cells. Looking at the provided board, all other cells seem filled. So the answer should be just that one cell.\n</think>\n\n<answer>\n[\n [1, 7, 4]\n]\n</answer>",
"role": "assistant"
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8,
2
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2,
4,
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8,
6,
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5,
1,
3
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[
1,
6,
4,
9,
8,
2,
3,
7,
5
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[
9,
7,
2,
3,
4,
5,
8,
6,
1
],
[
8,
5,
3,
7,
1,
6,
2,
4,
9
]
]
] | 1.2 |
default
| 575 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 7 3 1 | 8 6 2 | . 5 4\nR2 6 9 2 | 7 5 4 | 3 8 1\nR3 5 4 8 | 9 3 1 | 2 7 6\n - - - - - - - - - - - - - - - - \nR4 3 5 7 | 2 1 9 | 4 6 8\nR5 4 1 6 | 3 8 5 | 7 2 9\nR6 8 2 9 | 4 7 6 | 1 3 5\n - - - - - - - - - - - - - - - - \nR7 2 8 4 | 5 9 3 | 6 1 7\nR8 9 6 5 | 1 2 7 | 8 4 3\nR9 1 7 3 | 6 4 8 | 5 9 2\n",
"role": "user"
}
] |
[
{
"content": "<think>\nOkay, let's look at this Sudoku puzzle. The user provided a board where most cells are filled, but there's one missing cell in R1, column 7 (row 1, column 7). Let me check that.\n\nLooking at row 1: the numbers present are 7,3,1 in the first three columns, then 8,6,2 in columns 4-6, and then . (empty) at column 7, followed by 5 and 4. So the missing number in row 1 is in column 7.\n\nRow 1 already has 1,2,3,4,5,6,7,8. Missing is 9? Wait, let me count. The existing numbers in row 1 are 7,3,1,8,6,2, then the empty cell, then 5,4. Let's list them: 1,2,3,4,5,6,7,8. So missing is 9. So the value should be 9.\n\nBut wait, I need to check the column and the 3x3 box as well to make sure 9 isn't already present there.\n\nColumn 7: Let's check all rows in column 7. R1's column 7 is empty. R2 has 3, R3 has 2, R4 has 4, R5 has 7, R6 has 1, R7 has 6, R8 has 8, R9 has 5. So column 7 currently has 3,2,4,7,1,6,8,5. Missing is 9 and 9? Wait, numbers 1-9. Existing in column 7 are 1,2,3,4,5,6,7,8. So missing is 9. So putting 9 here is okay.\n\nNow check the 3x3 box. The cell R1C7 is in the top-right box (rows 1-3, columns 7-9). Let's look at that box. In row 1, columns 7-9 are .,5,4. Row 2: 3,8,1. Row 3: 2,7,6. Existing numbers in this box are 3,8,1,2,7,6,5,4. Missing is 9. So yes, 9 is valid here.\n\nSo the only missing cell is [1,7,9]. That's the only cell to fill. All other cells are already filled in the given board. So the answer should be that single cell.\n</think>\n\n<answer>\n[\n [1, 7, 9]\n]\n</answer>",
"role": "assistant"
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[
8,
2,
9,
4,
7,
6,
1,
3,
5
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[
2,
8,
4,
5,
9,
3,
6,
1,
7
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[
9,
6,
5,
1,
2,
7,
8,
4,
3
],
[
1,
7,
3,
6,
4,
8,
5,
9,
2
]
]
] | 1.2 |
default
| 576 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 1 4 6 | 3 2 7 | 8 9 5\nR2 2 8 5 | 1 9 4 | 7 3 6\nR3 3 9 7 | 6 8 5 | 1 4 2\n - - - - - - - - - - - - - - - - \nR4 4 2 1 | 5 7 3 | 6 8 9\nR5 7 3 9 | 4 6 8 | 5 2 1\nR6 5 6 8 | 2 1 9 | 3 7 4\n - - - - - - - - - - - - - - - - \nR7 6 5 4 | 8 3 2 | 9 1 7\nR8 8 7 2 | 9 5 1 | 4 6 3\nR9 9 1 3 | 7 . 6 | 2 5 8\n",
"role": "user"
}
] |
[
{
"content": "<think>\nOkay, let's see. I need to solve this Sudoku puzzle. The given board looks mostly filled except for one cell in R9C5. Let me check each row, column, and 3x3 box to find where the missing numbers go.\n\nLooking at R9, the row has 9, 1, 3 in the first three cells, then 7, something, 6, and then 2, 5, 8. The missing number in R9 is in column 5. Let's check what numbers are already present in that row. The existing numbers are 9,1,3,7,6,2,5,8. Missing are 4. Wait, no, wait. Let me list all numbers from 1-9. The row has 1,2,3,5,6,7,8,9. So missing is 4. Therefore R9C5 should be 4. \n\nBut let me double-check the column. Column 5. Let's look at each row's column 5. R1C5 is 2, R2C5 is 9, R3C5 is 8, R4C5 is7, R5C5 is6, R6C5 is1, R7C5 is3, R8C5 is5, and R9C5 is missing. The existing numbers in column 5 are 2,9,8,7,6,1,3,5. Missing is 4. So yes, 4 is the only possible number here. Also, checking the 3x3 box for R9C5. The box is the bottom middle box (rows 7-9, columns 4-6). In that box, R7 has 8,3,2 in columns 4-6? Wait, R7C4 is 8, R7C5 is 3, R7C6 is 2. R8C4-6: 9,5,1. R9C4-6: 7, . ,6. So existing numbers in that box for columns 4-6 are 8,3,2,9,5,1,7,6. Missing is 4. So again, 4 is the only possible value. Therefore, R9C5 must be 4. \n\nSo the only cell to fill is [9,5,4]. Let me check if there are any other empty cells. Looking back at the given board, all rows seem filled except R9C5. So that's the only one. Therefore, the answer is that single cell.\n</think>\n\n<answer>\n[\n [9, 5, 4]\n]\n</answer>",
"role": "assistant"
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[
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8,
2,
1,
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3,
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4
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[
6,
5,
4,
8,
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2,
9,
1,
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[
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7,
2,
9,
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4,
6,
3
],
[
9,
1,
3,
7,
0,
6,
2,
5,
8
]
]
] | 1.2 |
default
| 579 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 2 1 6 | 7 9 5 | 4 8 3\nR2 4 . 8 | 6 2 3 | 9 7 1\nR3 9 7 3 | 8 1 4 | 2 6 5\n - - - - - - - - - - - - - - - - \nR4 8 4 5 | 1 6 9 | 7 3 2\nR5 3 9 1 | 4 7 2 | 8 5 6\nR6 7 6 2 | 3 5 8 | 1 9 4\n - - - - - - - - - - - - - - - - \nR7 6 3 9 | 2 4 7 | 5 1 8\nR8 1 2 7 | 5 8 6 | 3 4 9\nR9 5 8 4 | 9 3 1 | 6 2 7\n",
"role": "user"
}
] |
[
{
"content": "<think>\nOkay, let's look at this Sudoku puzzle. The user provided a partially filled board, and I need to find the missing cells. First, I'll check each row, column, and 3x3 box to see where numbers are missing.\n\nStarting with row R2. The given numbers are 4, ., 8 in columns 1-3. The existing numbers in row 2 are 4, 8, 6, 2, 3, 9, 7, 1. So missing numbers are 5 and maybe others? Let me check. The row has 4, 8, 6, 2, 3, 9, 7, 1. The missing number here is 5. Wait, but there's a single dot in column 2. Wait, row R2 has [4, ., 8 | 6, 2, 3 | 9, 7, 1]. So the row is 4, ?, 8 in the first three columns. Let me check which numbers are present. The existing numbers in row 2: 4, 8, 6, 2, 3, 9, 7, 1. The missing number is 5. So the missing cell in row 2, column 2 must be 5. Because all other numbers from 1-9 are present except 5.\n\nLet me confirm by checking column 2. Column 2 has R1:1, R2: ., R3:7, R4:4, R5:9, R6:6, R7:3, R8:2, R9:8. So existing numbers in column 2 are 1,7,4,9,6,3,2,8. Missing is 5. So R2C2 must be 5. That's the only possible value. So the filled cell is [2,2,5].\n\nIs there any other cell that can be filled easily? Let me check other rows. For example, row R1 seems complete. Let me check row R3. R3 is 9,7,3 | 8,1,4 | 2,6,5. All numbers from 1-9 are present. No missing. How about row R4? 8,4,5 | 1,6,9 |7,3,2. All numbers present. Same with R5, R6, R7, R8, R9. So the only missing cell is R2C2 with value 5. Therefore, the answer should be a list containing [2,2,5].\n</think>\n\n<answer>\n[\n [2, 2, 5]\n]\n</answer>",
"role": "assistant"
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9
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[
5,
8,
4,
9,
3,
1,
6,
2,
7
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]
] | 1.2 |
default
| 584 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 7 2 5 | 3 6 4 | 9 1 8\nR2 4 3 9 | 8 2 1 | 5 6 7\nR3 1 6 8 | 9 5 . | 3 4 2\n - - - - - - - - - - - - - - - - \nR4 8 1 2 | 5 9 6 | 4 7 3\nR5 3 4 6 | 7 1 8 | 2 9 5\nR6 9 5 7 | 2 4 3 | 1 8 6\n - - - - - - - - - - - - - - - - \nR7 2 7 1 | 6 3 9 | 8 5 4\nR8 6 9 3 | 4 8 5 | 7 2 1\nR9 5 8 4 | 1 7 2 | 6 3 9\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let's look at this Sudoku puzzle. The user provided a board where most cells are filled, but there's one missing in R3 C6. Let me check that.\n\nFirst, I'll examine row 3. The existing numbers are 1, 6, 8 in the first three columns, then 9, 5 in columns 4 and 5. The sixth column (C6) in row 3 is empty. Let's see what numbers are missing in row 3. The numbers present in row 3 are 1, 6, 8, 9, 5, 3, 4, 2. Missing numbers are 7 and maybe others? Wait, let me list them. 1,2,3,4,5,6,8,9 are present. So missing is 7? Wait, but row 3 already has 1,6,8, then 9,5 in columns 4 and 5. Wait, row 3 is [1,6,8 | 9,5, . | 3,4,2]. So in the row, existing numbers are 1,6,8,9,5,3,4,2. So missing in row 3 is 7. Therefore, the missing cell in R3C6 must be 7.\n\nBut wait, also need to check the column and the 3x3 box. Let's check column 6. Column 6 has in rows 1-9: 4 (R1), 1 (R2), . (R3), 6 (R4), 8 (R5), 3 (R6), 9 (R7), 5 (R8), 2 (R9). So existing numbers are 4,1,6,8,3,9,5,2. Missing is 7. So column 6 also requires 7 here. \n\nNow check the 3x3 box. The cell R3C6 is in the top-right 3x3 box (rows 1-3, columns 4-6). Let's see what numbers are there. In that box: R1 has 3,6,4; R2 has 8,2,1; R3 has 9,5, and the missing cell. Existing numbers in the box are 3,6,4,8,2,1,9,5. Missing is 7. So all three checks (row, column, box) indicate that R3C6 must be 7. So that's the only missing cell. Therefore, the filled cell is [3,6,7].\n</think>\n\n<answer>\n[\n [3, 6, 7]\n]\n</answer>",
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7,
2,
1
],
[
5,
8,
4,
1,
7,
2,
6,
3,
9
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]
] | 1.2 |
default
| 585 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 2 1 3 | 6 7 4 | 5 8 .\nR2 9 8 7 | 1 2 5 | 3 6 4\nR3 4 5 6 | 8 3 9 | 7 1 2\n - - - - - - - - - - - - - - - - \nR4 8 2 4 | 9 6 7 | 1 5 3\nR5 6 3 5 | 2 8 1 | 9 4 7\nR6 1 7 9 | 5 4 3 | 8 2 6\n - - - - - - - - - - - - - - - - \nR7 5 6 1 | 7 9 2 | 4 3 8\nR8 7 4 8 | 3 1 6 | 2 9 5\nR9 3 9 2 | 4 5 8 | 6 7 1\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let me look at this Sudoku puzzle. The board is mostly filled except for one cell. Let me check each row, column, and 3x3 box to find where the missing number is.\n\nStarting with R1 (Row 1), columns are C1 to C9. The given numbers are 2,1,3 in the first three columns, then 6,7,4, followed by 5,8, and a dot (which represents empty). So in R1, the missing number is in position [1,9]. Let's see what numbers are already in that row. The existing numbers are 1,2,3,4,5,6,7,8. The missing number is 9. But wait, let me confirm. Let me check the column and the box as well to make sure.\n\nColumn 9: Looking at column 9, the existing numbers are 5 (R1C9?), wait no. Wait, R1C9 is the cell in question. Let me check column 9. From the given board:\n\nR1C9 is empty. R2C9 is 4, R3C9 is 2, R4C9 is 3, R5C9 is 7, R6C9 is 6, R7C9 is 8, R8C9 is 5, R9C9 is 1. So column 9 has 4,2,3,7,6,8,5,1. Missing numbers are 9 and possibly others? Wait, the column has 1,2,3,4,5,6,7,8. So missing is 9. Therefore, if the row needs a 9, and the column allows it, then R1C9 is 9. Also, check the 3x3 box. R1C7 to R3C9 is the top-right box. Existing numbers in that box: R1 has 5,8, and the missing cell. R2 has 3,6,4. R3 has 7,1,2. So existing numbers are 3,4,5,6,7,8,1,2. Missing is 9. So yes, the cell [1,9] must be 9. \n\nSo the only missing cell is [1,9] with value 9. Let me double-check if there are any other empty cells. Looking through the entire grid:\n\nRow 1: only the last cell is empty. All other rows are completely filled. So the only filled cell needed is [1,9] with 9. \n\nTherefore, the answer is that single cell.\n</think>\n\n<answer>\n[\n [1, 9, 9]\n]\n</answer>",
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1,
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3,
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4,
8,
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1,
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2,
9,
5
],
[
3,
9,
2,
4,
5,
8,
6,
7,
1
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]
] | 1.2 |
default
| 586 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 9 5 8 | 2 3 4 | 6 1 7\nR2 7 1 2 | 5 6 8 | 3 4 9\nR3 6 4 3 | 7 1 9 | 5 8 2\n - - - - - - - - - - - - - - - - \nR4 3 6 5 | 8 2 7 | 1 9 4\nR5 1 2 7 | 4 9 6 | 8 3 5\nR6 8 9 4 | 1 5 3 | 7 2 6\n - - - - - - - - - - - - - - - - \nR7 4 8 9 | 3 7 5 | 2 6 1\nR8 5 3 1 | 6 4 2 | 9 . 8\nR9 2 7 6 | 9 8 1 | 4 5 3\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let's see. I need to solve this Sudoku puzzle. The board is given, and there's one missing cell in R8 C8. The example shows that when there's a single empty cell, you just fill it in. But wait, let me check the board again to make sure.\n\nLooking at R8: the cells are [5, 3, 1 | 6, 4, 2 | 9, ., 8]. So the missing is in column 8, row 8. Let's check which numbers are already present in row 8. The numbers present are 5,3,1,6,4,2,9,8. So missing is 7. Because Sudoku requires numbers 1-9. Let me confirm with the column as well. Column 8: looking at each row:\n\nR1: 1, R2:4, R3:8, R4:9, R5:3, R6:2, R7:6, R8: missing, R9:5. So existing in column 8 are 1,4,8,9,3,2,6,5. Missing is 7. Also check the 3x3 box. R8 is in the bottom-middle box (rows 7-9, cols 4-6 and 7-9). Wait, R8 C8 is part of the middle box? Let me think. The Sudoku grid is divided into 3x3 boxes. For rows 7-9 and columns 7-9, that's the bottom-right box. Wait, R8 C8 is column 8, so it's in the middle box of the third row of boxes. The box for R8 C8 is rows 7-9 and columns 7-9? Or columns 4-6? No, columns 7-9 are the last three columns. Wait, columns 1-3, 4-6, 7-9. So R8 C8 is in the column 7-9, so the third column of boxes. The box for R8 would be rows 7-9, columns 7-9. Let me check what numbers are present there. In that box:\n\nR7: 2,6,1; R8:9,.,8; R9:4,5,3. So existing numbers are 2,6,1,9,8,4,5,3. Missing is 7. So the cell R8 C8 must be 7. Therefore, the filled cell is [8,8,7]. That's the only missing cell here. So the answer should list that.\n</think>\n\n<answer>\n[\n [8, 8, 7]\n]\n</answer>",
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[
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1
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[
5,
3,
1,
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9,
0,
8
],
[
2,
7,
6,
9,
8,
1,
4,
5,
3
]
]
] | 1.2 |
default
| 588 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 6 2 7 | 9 5 1 | 3 8 4\nR2 4 3 1 | 6 2 8 | 5 7 9\nR3 8 9 5 | 3 7 . | 6 2 1\n - - - - - - - - - - - - - - - - \nR4 7 1 4 | 2 9 6 | 8 5 3\nR5 9 8 2 | 1 3 5 | 4 6 7\nR6 5 6 3 | 8 4 7 | 9 1 2\n - - - - - - - - - - - - - - - - \nR7 3 7 6 | 5 1 9 | 2 4 8\nR8 1 5 9 | 4 8 2 | 7 3 6\nR9 2 4 8 | 7 6 3 | 1 9 5\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let's see. I need to solve this Sudoku puzzle. First, I'll look at the given board and find the missing cells. The only empty cell mentioned is in R3 C6 (row 3, column 6), which is marked with a dot. Let me check if that's the only one.\n\nLooking at each row and column:\n\nRow 1: All filled.\nRow 2: All filled.\nRow 3: Column 6 is missing. The existing numbers in row 3 are 8,9,5,3,7, and then 6,2,1. Wait, the row is R3: 8 9 5 | 3 7 . | 6 2 1. So the missing number in row 3 is in column 6. Let's check what numbers are already present in that row. The row has 8,9,5,3,7,6,2,1. Missing number is 4? Let me see: numbers 1-9. Let's list them: 1,2,3,5,6,7,8,9. Missing is 4. So the value for R3C6 should be 4. \n\nBut wait, I should also check the 3x3 box to make sure that 4 isn't already present there. The box for R3C6 is the middle-top box (since rows 1-3 and columns 4-6). Let me check that box. In that box, looking at the existing numbers:\n\nR1C4 is 9, R1C5 5, R1C6 1. Then R2C4 6, R2C5 2, R2C6 8. And R3C4 3, R3C5 7, and the missing cell. If the missing cell in R3C6 is 4, does that conflict with any in the box? The box has 9,5,1,6,2,8,3,7. No 4 there. So yes, 4 is allowed.\n\nAlso, check column 6. Column 6 has R1:1, R2:8, R3: ?, R4:6, R5:5, R6:7, R7:9, R8:2, R9:3. The existing numbers are 1,8,6,5,7,9,2,3. Missing is 4. So yes, column 6 also needs a 4. Therefore, R3C6 must be 4. That seems to be the only missing cell. So the answer is just filling that cell with 4.\n</think>\n\n<answer>\n[\n [3, 6, 4]\n]\n</answer>",
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1,
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3,
6
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[
2,
4,
8,
7,
6,
3,
1,
9,
5
]
]
] | 1.2 |
default
| 591 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 8 2 7 | 4 6 5 | 9 3 1\nR2 9 4 1 | 7 2 3 | 5 8 6\nR3 3 6 5 | 1 9 8 | 7 4 2\n - - - - - - - - - - - - - - - - \nR4 2 7 9 | 8 3 1 | 6 5 .\nR5 5 8 6 | 2 4 9 | 3 1 7\nR6 4 1 3 | 5 7 6 | 8 2 9\n - - - - - - - - - - - - - - - - \nR7 6 3 4 | 9 5 2 | 1 7 8\nR8 7 5 8 | 6 1 4 | 2 9 3\nR9 1 9 2 | 3 8 7 | 4 6 5\n",
"role": "user"
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{
"content": "<think>\nOkay, let's see. I need to solve this Sudoku puzzle. The given board has some missing cells. Let me start by looking at each row, column, and 3x3 box to find where the missing numbers can go.\n\nFirst, checking R4. The row is 2 7 9 | 8 3 1 | 6 5 . The missing cell is at R4C9. The existing numbers in the row are 2,7,9,8,3,1,6,5. So missing is 4. But wait, let me confirm. The row has 2,7,9,8,3,1,6,5. The numbers 1-9 should be present once. The missing is 4? Let me check the column as well. Column 9 has 1,6,2, (R4C9), 7,9,8,3,5. So existing numbers there are 1,6,2,7,9,8,3,5. Missing is 4. Also, the 3x3 box for R4C9 is the bottom-right box (rows 4-6, columns 7-9). Let's see what's in that box. R4 has 6,5, (missing). R5 has 3,1,7. R6 has 8,2,9. So existing numbers in that box are 6,5,3,1,7,8,2,9. Missing is 4. So yes, R4C9 must be 4. So I can fill that in as [4,9,4].\n\nWait, wait. Wait, the row is R4, so the first entry in the filled cell should be 4 (row 4), column 9, value 4. So that's one filled cell.\n\nNow, let me check if there are any other missing cells. Looking at the entire grid:\n\nLooking at each row:\n\nR1: all filled in. No missing.\n\nR2: all filled in. No missing.\n\nR3: all filled in. No missing.\n\nR4: only missing is C9, which I filled.\n\nR5: all filled in. No missing.\n\nR6: all filled in. No missing.\n\nR7: all filled in. No missing.\n\nR8: all filled in. No missing.\n\nR9: all filled in. No missing.\n\nSo is that the only missing cell? Let me check again. The original puzzle board shows R4C9 as a dot (missing). All other cells seem filled. So the only cell to fill is R4C9 with 4. Therefore, the answer is just that one cell.\n</think>\n\n<answer>\n[\n [4, 9, 4]\n]\n</answer>",
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default
| 593 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 8 6 7 | 2 1 3 | 4 9 5\nR2 9 5 1 | 6 8 4 | 2 7 3\nR3 3 2 4 | 5 9 7 | 6 1 8\n - - - - - - - - - - - - - - - - \nR4 7 4 8 | 3 6 5 | 1 2 .\nR5 6 9 5 | 1 7 2 | 8 3 4\nR6 2 1 3 | 9 4 8 | 7 5 6\n - - - - - - - - - - - - - - - - \nR7 1 3 2 | 4 5 6 | 9 8 7\nR8 5 7 6 | 8 2 9 | 3 4 1\nR9 4 8 9 | 7 3 1 | 5 6 2\n",
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"content": "<think>\nOkay, let's look at this Sudoku puzzle. The board is mostly filled except for one missing cell. The problem is in R4 (row 4), column 9. Let me check the current state.\n\nLooking at row 4: the values present are 7,4,8 in the first three columns; 3,6,5 in the middle three; and 1,2 in the last two. So the missing number in row 4 is 9? Wait, let's count. The numbers in row 4 are 7,4,8,3,6,5,1,2. The missing one is 9. But wait, let me check again. 1-9 should be in each row. Let's list them: 1,2,3,4,5,6,7,8. Missing is 9. So the cell R4C9 should be 9.\n\nNow I need to verify if this conflicts with the column or 3x3 box. Column 9 has 5,3,8, (missing cell), then 7,1,2. Wait, existing values in column 9 are R1:5, R2:3, R3:8, R4: ?, R5:4, R6:6, R7:7, R8:1, R9:2. So 5,3,8,4,6,7,1,2. The missing in column 9 is 9. So 9 is allowed here. \n\nNow check the 3x3 box. R4 is in the bottom-left 3x3 box (rows 4-6, columns 1-3?), wait no. Wait, the Sudoku is divided into 3x3 boxes. The cell R4C9 is in the bottom-right box (rows 4-6, columns 7-9). Let me check that box. The bottom-right box includes R4C7-9, R5C7-9, R6C7-9. Current values in that box: R4 has 1,2,?; R5 has 8,3,4; R6 has 7,5,6. So existing numbers are 1,2,8,3,4,7,5,6. Missing is 9. So yes, 9 fits here. \n\nTherefore, the missing cell is 9. So the filled cell is [4,9,9]. Wait, the problem uses [row, col, value], but rows and columns are numbered from 1 to 9. So row 4, column 9, value 9. So the answer is [[4,9,9]].\n</think>\n\n<answer>\n[\n [4, 9, 9]\n]\n</answer>",
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default
| 595 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 9 1 7 | 3 5 6 | 8 4 2\nR2 6 5 4 | 2 1 8 | 9 3 7\nR3 3 2 8 | 4 7 9 | 5 1 6\n - - - - - - - - - - - - - - - - \nR4 2 9 3 | 5 . 1 | 6 7 4\nR5 1 4 5 | 6 3 7 | 2 9 8\nR6 8 7 6 | 9 2 4 | 3 5 1\n - - - - - - - - - - - - - - - - \nR7 4 3 2 | 1 6 5 | 7 8 9\nR8 5 8 1 | 7 9 2 | 4 6 3\nR9 7 6 9 | 8 4 3 | 1 2 5\n",
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"content": "<think>\nOkay, let's look at this Sudoku puzzle. The board is mostly filled except for one cell in R4C5. Let me check each row, column, and 3x3 box to see where the missing numbers go.\n\nStarting with row 4. The row has 2, 9, 3 in the first three cells. Then in columns 4-6, it's 5, ., 1. And then 6, 7, 4. So the missing number is in column 5. Let's see what numbers are already present in row 4. The existing numbers are 2,9,3,5,1,6,7,4. Missing is 8? Wait, no. Let me count. The numbers 1-9 should be there. Let me list them: 1,2,3,4,5,6,7,9. Missing is 8? But row 4's current entries are 2,9,3,5,?,1,6,7,4. Wait, the row is R4: [2,9,3 |5, . ,1 |6,7,4]. So the existing numbers in row 4 are 2,9,3,5,1,6,7,4. Missing is 8. So R4C5 must be 8. Let me check the column and box to make sure.\n\nColumn 5: Let's look at each row's column 5. R1:5, R2:1, R3:7, R4: ?, R5:3, R6:2, R7:6, R8:9, R9:4. So existing numbers are 5,1,7,3,2,6,9,4. Missing is 8. So yes, column 5 also allows 8 here. Now check the 3x3 box. R4 is in the fourth row, which is part of the middle-left box (rows 4-6, columns 1-3) but wait, column 5 is in the middle-middle box. The middle-middle box includes rows 4-6 and columns 4-6. Let's check what's in that box. R4: 5, ?, 1; R5: 6, 3, 7; R6: 9, 2, 4. So existing numbers in that box are 5,1,6,3,7,9,2,4. Missing is 8. So yes, 8 is the only possible value for R4C5. Therefore, the only missing cell is [4,5,8]. That should complete the puzzle.\n</think>\n\n<answer>\n[\n [4, 5, 8]\n]\n</answer>",
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default
| 595 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 9 7 1 | 5 3 . | 4 2 8\nR2 2 4 5 | 7 1 8 | 9 6 3\nR3 8 6 3 | 4 9 2 | 1 7 5\n - - - - - - - - - - - - - - - - \nR4 3 9 8 | 2 6 5 | 7 1 4\nR5 4 5 2 | 9 7 1 | 3 8 6\nR6 7 1 6 | 8 4 3 | 5 9 2\n - - - - - - - - - - - - - - - - \nR7 5 8 9 | 1 2 4 | 6 3 7\nR8 1 3 4 | 6 8 7 | 2 5 9\nR9 6 2 7 | 3 5 9 | 8 4 1\n",
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"content": "<think>\nOkay, let's look at this Sudoku puzzle. The user provided a board where most cells are filled except for one missing cell in R1C6. Let me double-check each row, column, and 3x3 box to confirm.\n\nStarting with row 1: The numbers present are 9,7,1 in the first three cells. Then 5,3 in the fourth and fifth. The sixth cell is empty. The numbers already in this row are 9,7,1,5,3,4,2,8. Missing numbers are 6. Wait, wait, let me list all the numbers in row 1. The first three cells are 9,7,1. Then after the separator, the fourth column (C4) is 5, fifth is 3. Then the sixth is empty. Then C7 is 4, C8 2, C9 8. So the existing numbers in row 1 are 9,7,1,5,3,4,2,8. The missing number is 6. So R1C6 should be 6. But let me check the column and box as well to make sure there's no conflict.\n\nColumn 6: Looking at column 6 (C6). Let's check each row's C6 value. R1 is empty. R2 is 8. R3 is 2. R4 is 5. R5 is 1. R6 is 3. R7 is 4. R8 is 7. R9 is 9. So existing numbers in column 6 are 8,2,5,1,3,4,7,9. Missing is 6. So that's consistent with the row's missing number. Now the 3x3 box for R1C6 is the top-middle box (rows 1-3, columns 4-6). In this box, existing numbers are: R1: 5,3, (empty). R2:7,1,8. R3:4,9,2. So existing numbers here are 5,3,7,1,8,4,9,2. Missing is 6. So again, the same conclusion. Therefore, the missing cell R1C6 must be 6. \n\nI don't see any other empty cells in the provided board. All other rows, columns, and boxes seem to have all numbers from 1-9 already filled. So the only cell to fill is [1,6,6]. Let me make sure I didn't miss any other empty cells. The original board shows in R1C6 as a dot, which represents the empty cell. All other cells are filled as per the given data. So the answer should be just that one cell.\n</think>\n\n<answer>\n[\n [1, 6, 6]\n]\n</answer>",
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1
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default
| 608 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 2 8 1 | 3 6 5 | 9 4 7\nR2 6 9 4 | 7 8 2 | 3 1 5\nR3 5 3 7 | 4 1 9 | 8 2 6\n - - - - - - - - - - - - - - - - \nR4 9 7 5 | 8 3 1 | 2 6 4\nR5 8 2 3 | 6 5 4 | 1 7 9\nR6 4 . 6 | 2 9 7 | 5 3 8\n - - - - - - - - - - - - - - - - \nR7 7 6 9 | 5 2 3 | 4 8 1\nR8 3 5 8 | 1 4 6 | 7 9 2\nR9 1 4 2 | 9 7 8 | 6 5 3\n",
"role": "user"
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{
"content": "<think>\nOkay, let's see. I need to solve this Sudoku puzzle. The given board has some numbers filled in, and there's a missing cell in R6 C2. Let me check the rows, columns, and 3x3 boxes to figure out what number goes there.\n\nLooking at row 6: the current numbers are 4, ., 6, 2, 9, 7, 5, 3, 8. So missing is one number. Let's check which numbers are already in row 6. The existing numbers are 4,6,2,9,7,5,3,8. The missing number is 1. Wait, but wait. Wait, row 6 is R4 to R6? Wait, the rows are R1 to R9. R6 is the sixth row. Let me check the row again. For R6, the cells are:\n\nC1:4, C2: empty, C3:6, C4:2, C5:9, C6:7, C7:5, C8:3, C9:8. So the existing numbers in row 6 are 4,6,2,9,7,5,3,8. The missing number is 1. So C2 in row 6 should be 1. Let me check if that's allowed in the column and the box.\n\nColumn 2: Let's check column 2. The existing numbers in column 2 are:\n\nR1:8, R2:9, R3:3, R4:7, R5:2, R6: ?, R7:6, R8:5, R9:4. So existing numbers are 8,9,3,7,2,6,5,4. The missing number is 1. So yes, 1 is allowed here.\n\nNow check the 3x3 box. R6 is in the middle box (rows 4-6, columns 1-3). Wait, R6 C2 is in the box that includes rows 4-6 and columns 1-3. Let's check the numbers in that box. The cells are:\n\nR4: 9 7 5\n\nR5: 8 2 3\n\nR6: 4 ? 6\n\nSo existing numbers in the box for columns 1-3, rows 4-6 are 9,7,5,8,2,3,4,6. Missing number is 1. So yes, 1 is the correct value for R6 C2.\n\nSo the only missing cell is [6,2,1]. Let me confirm once again. All row, column, and box constraints are satisfied. So the filled cell is [6,2,1].\n</think>\n\n<answer>\n[\n [6, 2, 1]\n]\n</answer>",
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[
6,
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7,
8,
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[
5,
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4,
1,
9,
8,
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6
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[
9,
7,
5,
8,
3,
1,
2,
6,
4
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[
8,
2,
3,
6,
5,
4,
1,
7,
9
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[
4,
0,
6,
2,
9,
7,
5,
3,
8
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[
7,
6,
9,
5,
2,
3,
4,
8,
1
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[
3,
5,
8,
1,
4,
6,
7,
9,
2
],
[
1,
4,
2,
9,
7,
8,
6,
5,
3
]
]
] | 1.2 |
default
| 612 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 3 9 5 | 8 7 4 | 2 1 6\nR2 2 4 1 | 6 5 3 | 7 9 8\nR3 7 8 6 | 2 9 1 | 5 4 3\n - - - - - - - - - - - - - - - - \nR4 4 5 2 | 1 6 . | 3 8 9\nR5 6 3 9 | 5 2 8 | 4 7 1\nR6 8 1 7 | 3 4 9 | 6 5 2\n - - - - - - - - - - - - - - - - \nR7 1 2 8 | 4 3 5 | 9 6 7\nR8 9 6 4 | 7 8 2 | 1 3 5\nR9 5 7 3 | 9 1 6 | 8 2 4\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let's look at this Sudoku puzzle. The user provided a partially filled board, and I need to find the missing cell. Let me check each row, column, and 3x3 box to see where numbers are missing.\n\nStarting with row R4. The cells are [4,5,2 | 1,6,., | 3,8,9]. The existing numbers in row 4 are 4,5,2,1,6,3,8,9. Missing numbers are 7. Wait, but the last part of row 4 is columns C7 to C9 which are 3,8,9. So the missing number in row 4 is in column C6 (position R4C6). Let's check column 6. Column 6 has R1:4, R2:3, R3:1, R4:., R5:8, R6:9, R7:5, R8:2, R9:6. The numbers present are 4,3,1,8,9,5,2,6. Missing is 7. So R4C6 must be 7. Let me verify the 3x3 box. R4C6 is in the middle box (rows 4-6, columns 4-6). The box has 1,6,7 (R4C4- C6 after filling?), wait original R4C4 is 1, R4C5 is 6, R4C6 is missing. In the same box, R5 has 5,2,8. R6 has 3,4,9. So existing numbers in the box are 1,5,2,8,3,4,9,6. Wait, the box includes R4C4-6, R5C4-6, R6C4-6. So current numbers in that box are 1 (R4C4), 6 (R4C5), and the missing R4C6. Then R5C4 is 5, R5C5 is 2, R5C6 is 8. R6C4 is 3, R6C5 is 4, R6C6 is 9. So existing numbers are 1,6,5,2,8,3,4,9. Missing is 7. Therefore, R4C6 must be 7. All checks confirm that. So the only missing cell is [4,6,7]. Let me check if there are any other missing cells. Looking at the provided board, all other rows seem complete. For example, row R1 has all numbers 1-9. Same for others. So the only missing cell is R4C6 with 7.\n</think>\n\n<answer>\n[\n [4, 6, 7]\n]\n</answer>",
"role": "assistant"
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1,
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5,
9,
6,
7
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[
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6,
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7,
8,
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1,
3,
5
],
[
5,
7,
3,
9,
1,
6,
8,
2,
4
]
]
] | 1.2 |
default
| 612 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 8 1 9 | 2 6 3 | 7 4 5\nR2 3 4 2 | 7 8 5 | 6 9 1\nR3 6 5 7 | 1 9 4 | 8 2 3\n - - - - - - - - - - - - - - - - \nR4 9 3 5 | 8 7 2 | 1 6 4\nR5 7 2 8 | 6 4 1 | 3 5 9\nR6 4 6 1 | 3 5 9 | 2 7 8\n - - - - - - - - - - - - - - - - \nR7 5 8 6 | 4 3 7 | 9 1 2\nR8 . 9 3 | 5 2 6 | 4 8 7\nR9 2 7 4 | 9 1 8 | 5 3 .\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let's look at this Sudoku puzzle. I need to fill in the missing cells. First, I'll check each row, column, and 3x3 subgrid for missing numbers.\n\nStarting with row R8. The cells are [., 9, 3 | 5, 2, 6 | 4, 8, 7]. The existing numbers in R8 are 9,3,5,2,6,4,8,7. Missing are 1 and maybe others? Wait, let me count. The row has to have 1-9. Let's see: current numbers are 9,3,5,2,6,4,8,7. So missing numbers in the row are 1 and maybe others? Wait, 9 is there, 3,5,2,6,4,8,7. So missing are 1, maybe 1 and another? Wait, the row has 8 cells filled (excluding the first column), so one missing? Wait, the R8 row has C1 missing. Let me check what's in the column C1 for row 8. Let's see column 1: R1=8, R2=3, R3=6, R4=9, R5=7, R6=4, R7=5, R8=., R9=2. So existing in column C1: 8,3,6,9,7,4,5,2. Missing is 1. So the missing value in R8C1 is 1. So fill [8,1,1].\n\nThen check R9C9. The cell is empty. In row R9: numbers are 2,7,4,9,1,8,5,3, and missing is 6. Let me check. Row R9 has 2,7,4,9,1,8,5,3. Missing is 6. So R9C9 should be 6. But check column C9. Column C9: R1=5, R2=1, R3=3, R4=4, R5=9, R6=8, R7=2, R8=7, and R9 is missing. The existing numbers in column C9 are 5,1,3,4,9,8,2,7. So missing is 6. So yes, R9C9 is 6. So fill [9,9,6].\n\nAre there any other empty cells? Let me check the board again. The given board shows R8C1 as . and R9C9 as . So those two are the only missing cells. So the answer should include these two filled cells.\n</think>\n\n<answer>\n[\n [8, 1, 1],\n [9, 9, 6]\n]\n</answer>",
"role": "assistant"
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4,
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1,
3,
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[
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6,
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9,
1,
2
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0,
9,
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7
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[
2,
7,
4,
9,
1,
8,
5,
3,
0
]
]
] | 1.2 |
default
| 614 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 2 6 8 | 5 9 1 | 7 3 4\nR2 9 5 7 | 8 4 3 | 6 1 2\nR3 4 3 1 | 2 7 6 | 5 8 9\n - - - - - - - - - - - - - - - - \nR4 7 1 5 | 4 8 9 | 2 6 3\nR5 3 9 2 | 6 5 7 | 8 4 1\nR6 8 4 6 | 1 3 2 | 9 7 5\n - - - - - - - - - - - - - - - - \nR7 5 7 . | 3 2 8 | 1 9 6\nR8 6 2 9 | 7 1 4 | 3 5 8\nR9 1 8 3 | 9 6 5 | 4 2 7\n",
"role": "user"
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] |
[
{
"content": "<think>\nOkay, let's look at this Sudoku board. Hmm, the problem is in row 7, column 3. The cell is marked with a dot, so it's empty. Let me check what numbers are already present in that row, column, and 3x3 box to figure out the missing value.\n\nFirst, looking at row R7: it has 5, 7, and then a dot, followed by 3, 2, 8, 1, 9, 6. So existing numbers are 1, 3, 5, 6, 7, 8, 9, 2. The missing number in this row is 4? Wait, wait. Let me count from 1 to 9. Let's see: 1 is there, 2, 3, 5, 6, 7, 8, 9. Missing numbers are 4 and maybe another? Wait, the row is R7: 5,7,.,3,2,8,1,9,6. Let me list them out. The cells are [5,7,?,3,2,8,1,9,6]. So existing numbers are 1,2,3,5,6,7,8,9. Missing is 4. So the missing number in the row is 4. But I need to check if 4 is allowed in that cell based on column and box constraints.\n\nNow check column C3. Column C3 has in each row: R1:8, R2:7, R3:1, R4:5, R5:2, R6:6, R7:., R8:9, R9:3. So existing numbers are 1,2,3,5,6,7,8,9. Missing is 4. So column C3 doesn't have a 4 yet. So if the cell R7C3 is 4, that would satisfy column and row.\n\nNow check the 3x3 box. The cell R7C3 is in the bottom-left box (rows 7-9, columns 1-3). Let's look at that box. R7: 5,7,.; R8:6,2,9; R9:1,8,3. Existing numbers in the box are 1,2,3,5,6,7,8,9. Missing is 4. So again, 4 is the only possible number here. So the cell R7C3 must be 4. That's the only possible value. Therefore, I need to fill in [7,3,4]. Let me double-check to make sure there's no conflict. No other 4 in row, column, or box. Yep, looks correct.\n</think>\n\n<answer>\n[\n [7, 3, 4]\n]\n</answer>",
"role": "assistant"
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2,
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1,
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0,
3,
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1,
9,
6
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2,
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1,
4,
3,
5,
8
],
[
1,
8,
3,
9,
6,
5,
4,
2,
7
]
]
] | 1.2 |
default
| 615 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 3 6 5 | 8 4 7 | 1 9 2\nR2 9 1 8 | 6 5 . | 7 4 3\nR3 7 2 4 | 1 9 3 | 8 6 5\n - - - - - - - - - - - - - - - - \nR4 5 8 7 | 3 2 4 | 6 1 9\nR5 2 3 1 | 9 8 6 | 4 5 7\nR6 6 4 9 | 5 7 1 | 3 2 8\n - - - - - - - - - - - - - - - - \nR7 4 7 3 | 2 1 5 | 9 8 6\nR8 1 9 2 | 7 6 8 | 5 3 4\nR9 8 5 6 | 4 3 9 | 2 7 1\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let's see. I need to solve this Sudoku puzzle. First, I'll look at the given board and check where the missing cells are. The user provided the board with some cells filled and one cell missing in R2 C6. Let me verify each row, column, and 3x3 box to find where numbers are missing.\n\nLooking at row 2 (R2), the cells are [9, 1, 8 | 6, 5, . | 7, 4, 3]. The missing cell is in column 6. Let's check which numbers are already present in this row. The existing numbers are 9,1,8,6,5,7,4,3. The missing number is 2, because numbers 1-9 should be present once. So R2C6 should be 2. \n\nWait, let me confirm. Let's list the numbers in R2: 9,1,8,6,5,?,7,4,3. The existing numbers are 1,3,4,5,6,7,8,9. Missing is 2. So yes, R2C6 is 2. \n\nI should check if 2 is already present in column 6 or the 3x3 box. Column 6 has in R1:7, R2:., R3:3, R4:4, R5:6, R6:1, R7:5, R8:8, R9:9. So existing in column 6 are 7,3,4,6,1,5,8,9. Missing is 2. So putting 2 here is okay. Also, the 3x3 box for R2C6 is the middle-right box (columns 4-6, rows 1-3). In that box, existing numbers are 8,4,7 (row1), 6,5,2 (row2, after filling?), 1,9,3 (row3). Wait, no, the box includes R1C4 to R3C6. Let me check again. The existing numbers in that box before filling: R1C4 is 8, R1C5 4, R1C6 7; R2C4 6, R2C5 5, and missing R2C6; R3C4 1, R3C5 9, R3C6 3. So if we put 2 in R2C6, that's allowed because there's no 2 in that box yet. So yes, 2 is the correct value.\n\nSo the only missing cell is [2,6,2]. Therefore, the filled cell is row 2, column 6 with value 2.\n</think>\n\n<answer>\n[\n [2, 6, 2]\n]\n</answer>",
"role": "assistant"
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[
6,
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9,
5,
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3,
2,
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[
4,
7,
3,
2,
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5,
9,
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6
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[
1,
9,
2,
7,
6,
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5,
3,
4
],
[
8,
5,
6,
4,
3,
9,
2,
7,
1
]
]
] | 1.2 |
default
| 615 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 1 5 7 | 9 8 6 | 4 2 3\nR2 4 6 3 | 5 7 2 | 8 9 1\nR3 8 2 9 | 3 1 4 | 7 6 5\n - - - - - - - - - - - - - - - - \nR4 2 8 6 | 1 9 3 | 5 4 7\nR5 5 3 4 | 8 2 7 | 9 1 6\nR6 . 7 1 | 4 6 5 | 3 8 2\n - - - - - - - - - - - - - - - - \nR7 3 4 8 | 6 5 1 | 2 7 9\nR8 7 1 5 | 2 4 9 | 6 3 8\nR9 6 9 2 | . 3 8 | 1 5 4\n",
"role": "user"
}
] |
[
{
"content": "<think>\nOkay, let's take a look at this Sudoku puzzle. The user provided a partially filled board, and I need to find the missing cells. First, I'll go through each row, column, and 3x3 subgrid to see where numbers are missing.\n\nStarting with row R6. The current cells are [., 7, 1 | 4, 6, 5 | 3, 8, 2]. The missing number in row 6 is in column 1 (C1). Let's check which numbers are already present in row 6: 7,1,4,6,5,3,8,2. Missing numbers are 9 and maybe others? Wait, the row has C1 empty. Let me check the numbers 1-9. The existing numbers are 1,2,3,4,5,6,7,8. So the missing is 9. So R6C1 should be 9.\n\nNext, looking at row R9. The cells are [6,9,2 | ., 3,8 | 1,5,4]. The missing cell is in C4. The existing numbers in row 9: 6,9,2,3,8,1,5,4. Missing is 7. So R9C4 should be 7. Let me check if that's allowed in the column and subgrid. Column 4 has values: R1:9, R2:5, R3:3, R4:1, R5:8, R6:4, R7:6, R8:2, R9:?. The numbers present are 9,5,3,1,8,4,6,2. So 7 is missing here. Also, the subgrid for R9C4 is the bottom-left 3x3. The subgrid includes rows 7-9 and columns 1-3 (already filled) and columns 4-6. Wait, R9C4 is in the bottom-middle subgrid (columns 4-6, rows 7-9). Let me check that subgrid. Existing numbers in that subgrid: R7 has 6,5,1 in columns 4-6. R8 has 2,4,9. R9 has [., 3,8]. So existing numbers are 6,5,1,2,4,9,3,8. Missing is 7. So yes, R9C4 is 7.\n\nSo the two missing cells are R6C1=9 and R9C4=7. Let me confirm there are no other missing cells. Looking through the board, all other cells are filled. So those are the only two to fill.\n</think>\n\n<answer>\n[\n [6, 1, 9],\n [9, 4, 7]\n]\n</answer>",
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[
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9,
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3,
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] | 1.2 |
default
| 616 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 8 3 4 | 6 1 5 | 7 9 2\nR2 1 7 5 | 8 9 2 | 4 6 3\nR3 6 9 2 | 3 7 4 | 8 1 5\n - - - - - - - - - - - - - - - - \nR4 4 8 6 | 9 2 7 | 5 3 1\nR5 2 1 3 | 4 5 8 | . 7 6\nR6 9 5 7 | 1 3 6 | 2 8 4\n - - - - - - - - - - - - - - - - \nR7 7 2 9 | 5 6 3 | 1 4 8\nR8 3 4 1 | 2 8 9 | 6 5 7\nR9 5 6 8 | 7 4 1 | 3 2 9\n",
"role": "user"
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{
"content": "<think>\nOkay, let's see. I need to solve this Sudoku puzzle and fill in the missing cells. First, I'll look at the given board and check where the empty cells are. \n\nLooking at the board, most rows and columns seem filled except for a few. Let me check each row, column, and 3x3 box to find where the missing numbers are. \n\nStarting with R5 (Row 5). The row is 2 1 3 | 4 5 8 | . 7 6. The existing numbers in this row are 2,1,3,4,5,8,7,6. Missing is 9 and maybe another number. Wait, let's count. Numbers 1-9 should be there. Let's see: 1,2,3,4,5,6,7,8. Missing is 9. So the empty cell in R5 (position R5C7) must be 9. Because that's the only number missing in the row.\n\nLet me confirm with the column and box. Column 7 has numbers 7,4,8,5,2,1,6,3. So 7 in R1, 4 in R2, 8 in R3, 5 in R4, 2 in R6, 1 in R7, 6 in R8, 3 in R9. So missing in column 7 is 9? Wait, but R5C7 is in column 7. The existing numbers in column 7 are 7,4,8,5, ?, 2,1,6,3. So if the missing in column is 9, then yes, 9 is allowed. Also check the box. R5C7 is in the middle box (rows 4-6, columns 7-9). The box includes R4C7-9: 5,3,1; R5C7-9: ?,7,6; R6C7-9: 2,8,4. So existing numbers in the box are 5,3,1,7,6,2,8,4. Missing is 9. So yes, R5C7 must be 9. That makes sense. So the only empty cell is [5,7,9].\n\nSo the filled cell is [5,7,9]. Let me check the answer format. The user wants a list of all filled cells. Since only one cell is missing, this should be the only entry. Let me make sure there are no other empty cells. Looking back at the board provided:\n\nAll rows except R5 seem complete. R5 has one dot in position 7. So yes, only that cell needs to be filled. Therefore, the answer is [[5,7,9]].\n</think>\n\n<answer>\n[\n [5, 7, 9]\n]\n</answer>",
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6,
8,
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4,
1,
3,
2,
9
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] | 1.2 |
default
| 616 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 7 6 3 | 9 8 5 | 4 1 2\nR2 5 1 4 | 3 2 6 | 8 7 9\nR3 2 9 8 | 1 7 4 | 5 6 3\n - - - - - - - - - - - - - - - - \nR4 8 7 1 | 5 6 9 | 3 2 4\nR5 3 2 6 | 8 4 1 | 9 5 7\nR6 9 4 5 | 2 3 7 | 1 8 6\n - - - - - - - - - - - - - - - - \nR7 1 8 7 | 6 9 3 | 2 4 5\nR8 6 3 2 | 4 5 8 | 7 9 .\nR9 4 5 9 | 7 1 2 | 6 3 8\n",
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{
"content": "<think>\nOkay, let's look at the Sudoku puzzle provided. The task is to find the missing cells and fill them in. The current state of the board is mostly filled except for one cell in R8C9. Let me check each row, column, and 3x3 box to confirm which cells are missing.\n\nStarting with R8 (Row 8), the cells are 6, 3, 2 in columns 1-3, then 4, 5, 8 in columns 4-6, and 7, 9, and then a dot in column 9. So R8C9 is empty. Let's figure out what value goes there.\n\nLooking at row R8: existing numbers are 6,3,2,4,5,8,7,9. Missing numbers are 1 and maybe others? Wait, the numbers 1-9 must be present once. Let me check. The numbers present in R8 are 6,3,2,4,5,8,7,9. So missing in this row is 1 and maybe others? Wait, 1 isn't there. So the missing number in the row is 1. But wait, the row has 9 columns, so if there's only one missing cell, which is column 9. So the missing number must be 1? Let me check.\n\nBut wait, let's check the column as well. Column 9 (C9): looking at each row's C9. R1 is 2, R2 is 9, R3 is 3, R4 is 4, R5 is 7, R6 is 6, R7 is 5, R8 is ?, R9 is 8. So existing numbers in C9: 2,9,3,4,7,6,5,8. Missing is 1. So the missing number in column 9 is 1. Therefore, R8C9 must be 1.\n\nAdditionally, check the 3x3 box that R8C9 belongs to. The box for R8C9 is the bottom-right box (rows 7-9, columns 7-9). Let's check existing numbers in this box:\n\nR7: 2,4,5 (C7-C9)\nR8: 7,9,?\nR9: 6,3,8\nSo existing numbers in the box are 2,4,5,7,9,6,3,8. Missing is 1. Therefore, the cell R8C9 must be 1. All constraints agree. So the answer is to fill [8,9,1].\n\nI don't see any other empty cells in the provided puzzle. The rest of the board seems to be filled already. So the only cell to fill is R8C9 with value 1.\n</think>\n\n<answer>\n[\n [8, 9, 1]\n]\n</answer>",
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1,
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] | 1.2 |
default
| 623 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 5 8 7 | 2 9 4 | 3 1 6\nR2 1 4 3 | 8 5 6 | 7 2 9\nR3 2 9 6 | 3 1 7 | 8 4 5\n - - - - - - - - - - - - - - - - \nR4 3 1 2 | 9 6 5 | 4 7 8\nR5 8 7 9 | 1 4 3 | 5 6 2\nR6 6 5 4 | 7 2 8 | 1 9 3\n - - - - - - - - - - - - - - - - \nR7 7 6 1 | 5 8 9 | 2 3 4\nR8 9 2 5 | 4 3 1 | 6 8 7\nR9 4 3 8 | 6 . 2 | 9 5 1\n",
"role": "user"
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{
"content": "<think>\nOkay, let's look at the Sudoku puzzle provided. The user has given a partially filled board, and I need to find the missing cells. First, I'll check each row, column, and 3x3 subgrid to see where numbers are missing.\n\nStarting with row R9. The current numbers are 4, 3, 8 in columns 1-3, then 6 in column 4, a dot (missing) in column 5, 2 in column 6, and 9, 5, 1 in columns 7-9. So the missing number in R9 is in column 5. Let's see what numbers are already present in row 9. The existing numbers are 4,3,8,6,2,9,5,1. The missing number is 7 because numbers 1-9 should be there. Now, check column 5 for conflicts. Column 5 has in rows 1-9: 9 (R1), 5 (R2), 1 (R3), 6 (R4), 4 (R5), 2 (R6), 8 (R7), 3 (R8), and the missing cell here. The existing numbers in column 5 are 9,5,1,6,4,2,8,3. So 7 is not present. Also, check the subgrid for R9 C5. The subgrid is the bottom-middle 3x3. Let's see which rows and columns that covers. The subgrids are divided as columns 1-3, 4-6, 7-9 and rows 1-3, 4-6,7-9. So R9 C5 is in the subgrid that includes rows 7-9 and columns 4-6. Looking at that subgrid: R7 has 5,8,9 in columns 4-6; R8 has 4,3,1; R9 has 6, . , 2. The existing numbers here are 5,8,9,4,3,1,6,2. Missing is 7. Therefore, the cell R9 C5 must be 7. That's the only possible value. So the filled cell is [9,5,7]. \n\nI need to check if there are any other cells that need to be filled. Let me scan the entire grid again. All other rows seem to have all numbers from 1-9 except R9. The only missing cell is the one we just filled. Wait, let me check again. For example, in R1, all numbers are present. R2, R3, etc., all rows are complete except R9. Therefore, the only missing cell is [9,5,7]. So the answer should be a list containing that single entry.\n</think>\n\n<answer>\n[\n [9, 5, 7]\n]\n</answer>",
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6,
1,
5,
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9,
2,
3,
4
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[
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2,
5,
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3,
1,
6,
8,
7
],
[
4,
3,
8,
6,
0,
2,
9,
5,
1
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] | 1.2 |
default
| 624 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 7 3 2 | 1 9 6 | 4 8 5\nR2 . 5 4 | 2 3 8 | 7 9 6\nR3 8 9 6 | 7 5 4 | 2 3 1\n - - - - - - - - - - - - - - - - \nR4 9 8 7 | 5 1 3 | 6 2 4\nR5 3 2 5 | 6 4 9 | 8 1 7\nR6 6 4 1 | 8 2 7 | 3 5 9\n - - - - - - - - - - - - - - - - \nR7 5 1 8 | 4 6 2 | 9 7 3\nR8 4 7 3 | 9 8 5 | 1 6 2\nR9 2 6 9 | 3 7 1 | 5 4 8\n",
"role": "user"
}
] |
[
{
"content": "<think>\nOkay, let's see. The user provided a Sudoku board and wants me to solve it. First, I need to check if the given board is already filled in completely. Let me go through each row and column to see if there are any empty cells marked with a dot.\n\nLooking at R1: 7,3,2,1,9,6,4,8,5. All filled. R2: first cell is a dot. So that's empty. R3 is all filled. R4 to R9 also seem filled except for R2's first column. Wait, maybe there are more? Let me check again.\n\nR2: C1 is ., then 5,4, etc. So the only empty cell is R2C1. Let me verify the rest of the grid. All other rows have numbers from 1-9 with no dots. So the only missing cell is R2C1.\n\nNow, what number is missing in row 2? The existing numbers are 5,4,2,3,8,7,9,6. Let's list them: 5,4,2,3,8,7,9,6. Missing numbers in 1-9 are 1 and maybe others. Wait, row 2 is R2: [.,5,4,2,3,8,7,9,6]. Let me check the numbers present. The existing numbers are 5,4,2,3,8,7,9,6. So missing numbers are 1 and maybe others. Let's count from 1 to 9. 1 isn't in the row. Let's check the column for column 1. Column 1 has R1:7, R2: ., R3:8, R4:9, R5:3, R6:6, R7:5, R8:4, R9:2. So column 1 has 7,8,9,3,6,5,4,2. Missing in column 1 is 1. So the missing number for R2C1 is 1. Also, check the 3x3 box. R2 is in the first box (rows 1-3, columns 1-3). The box includes R1C1-3:7,3,2; R2C1 is empty, then 5,4; R3C1-3:8,9,6. So existing numbers in the box are 7,3,2,5,4,8,9,6. Missing is 1. Therefore, the only possible value for R2C1 is 1. So the filled cell should be [2,1,1]. That's the only cell to fill. Let me confirm once more. Yes, all other cells are filled. So the answer is just that one cell.\n</think>\n\n<answer>\n[\n [2, 1, 1]\n]\n</answer>",
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default
| 630 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 8 5 . | 9 2 1 | 3 6 4\nR2 1 4 2 | 6 7 3 | 9 5 8\nR3 6 3 9 | 5 8 4 | 2 1 7\n - - - - - - - - - - - - - - - - \nR4 9 7 5 | 2 6 8 | 4 3 1\nR5 4 1 6 | 3 5 9 | 8 7 2\nR6 3 2 8 | 4 1 7 | 6 9 5\n - - - - - - - - - - - - - - - - \nR7 7 6 1 | 8 3 2 | 5 4 9\nR8 5 8 4 | 1 9 6 | 7 2 3\nR9 2 9 3 | 7 4 5 | 1 8 6\n",
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"content": "<think>\nOkay, let's look at this Sudoku puzzle. The user provided a board where most cells are filled, but there's one missing cell in R1 C3. Let me check each row, column, and 3x3 box to see where the missing numbers go.\n\nStarting with row 1: R1 has 8,5,., then 9,2,1,3,6,4. The missing number in row 1 is in column 3. The existing numbers in row 1 are 8,5,9,2,1,3,6,4. So missing numbers here would be 7? Wait, let's check. The numbers 1-9 should be present once each. Let me list them: 1,2,3,4,5,6,8,9. Missing is 7. But wait, column 3 for row 1: looking at column 3 across all rows. Column 3 has values in R1: ., R2:2, R3:9, R4:5, R5:6, R6:8, R7:1, R8:4, R9:3. So existing numbers in column 3 are 2,9,5,6,8,1,4,3. Missing in column 3 is 7. Also, the top-right 3x3 box (columns 7-9, rows 1-3) already has 3,6,4 in row 1; 9,5,8 in row 2; 2,1,7 in row3. Wait, the missing cell is in R1C3, which is part of the top-middle 3x3 box (columns 4-6, rows 1-3? No. Wait, Sudoku boxes are divided as 3 rows and 3 columns. The cell R1C3 is in the top-left box (columns 1-3, rows 1-3). Let me check that box. The top-left box has R1:8,5,.; R2:1,4,2; R3:6,3,9. Existing numbers here are 8,5,1,4,2,6,3,9. Missing is 7. So the missing number in R1C3 must be 7. Because it's not present in row 1, column 3, or the box. So I need to fill R1C3 with 7.\n\nLet me double-check. Row 1: adding 7 there would make it 8,5,7,... which doesn't conflict. Column 3: adding 7 there, which wasn't there before. Box: same. So yes, the only missing cell is R1C3 with value 7. All other cells are already filled. Therefore, the answer should be [[1,3,7]].\n</think>\n\n<answer>\n[\n [1, 3, 7]\n]\n</answer>",
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default
| 634 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 3 9 2 | 7 6 4 | 1 8 5\nR2 4 5 6 | 9 1 8 | 2 7 3\nR3 8 7 1 | 5 2 3 | 9 4 6\n - - - - - - - - - - - - - - - - \nR4 . 3 8 | 2 4 5 | 6 1 9\nR5 9 2 4 | 1 8 6 | 5 3 7\nR6 1 6 5 | 3 7 9 | 8 2 4\n - - - - - - - - - - - - - - - - \nR7 6 1 7 | 4 9 2 | 3 5 8\nR8 2 8 3 | 6 5 7 | 4 9 1\nR9 5 4 9 | 8 3 1 | 7 6 2\n",
"role": "user"
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{
"content": "<think>\nOkay, let's look at the Sudoku puzzle provided. The task is to fill in the missing cells. First, I need to check which cells are empty. Looking at the board, the only empty cell seems to be in R4 (Row 4), Column 1. Let me confirm:\n\nRow 4 is listed as . 3 8 | 2 4 5 | 6 1 9. The '.' here represents an empty cell. So Row 4, Column 1 is missing a value.\n\nNow, I need to figure out what number goes there. Let's recall Sudoku rules: each row must contain digits 1-9 without repetition, same with each column and each of the nine 3x3 subgrids.\n\nLet's check the row first. Row 4 currently has 3,8 in the first three columns, then 2,4,5 in the next three, and 6,1,9 in the last three. The existing numbers in the row are 3,8,2,4,5,6,1,9. Missing is 7. Wait, but wait—the first column of Row 4 is empty. Let me check again. The row is [., 3, 8 | 2, 4, 5 | 6, 1, 9]. So existing numbers in the row are 3,8,2,4,5,6,1,9. Missing is 7. Therefore, if there's no conflict in the column or subgrid, Row4C1 should be 7.\n\nNow check the column. Column 1 has R1:3, R2:4, R3:8, R4:?, R5:9, R6:1, R7:6, R8:2, R9:5. The existing numbers are 3,4,8,9,1,6,2,5. Missing are 7. So 7 is allowed here.\n\nNext, check the subgrid. The subgrids are divided into 3x3. Row 4 is in the fourth row, so the subgrid for Row4, Column1 is the lower-left 3x3. Let me see: the subgrid includes Rows 4-6 and Columns 1-3. Let's check existing numbers in that subgrid. \n\nLooking at Row4: the first three cells are .,3,8. Row5's first three are 9,2,4. Row6's first three are 1,6,5. So existing numbers in the subgrid for columns 1-3, rows 4-6 are 3,8,9,2,4,1,6,5. Missing is 7. Therefore, 7 is valid here.\n\nTherefore, the only empty cell is R4C1 with value 7. So the filled cell is [4,1,7].\n</think>\n\n<answer>\n[\n [4, 1, 7]\n]\n</answer>",
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default
| 637 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 3 1 5 | 9 6 8 | 7 2 4\nR2 8 2 6 | . 7 4 | 5 9 1\nR3 4 9 7 | 1 2 5 | 6 3 8\n - - - - - - - - - - - - - - - - \nR4 9 8 3 | 4 1 7 | 2 6 5\nR5 7 6 2 | 5 8 3 | 4 1 9\nR6 5 4 1 | 2 9 6 | 3 8 7\n - - - - - - - - - - - - - - - - \nR7 2 7 9 | 6 5 1 | 8 4 3\nR8 1 3 8 | 7 4 2 | 9 5 6\nR9 6 5 4 | 8 3 9 | 1 7 2\n",
"role": "user"
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[
{
"content": "<think>\nOkay, let's look at this Sudoku puzzle. The user provided a board where most cells are already filled, but there's one missing cell in R2, column 4. Let me check each row, column, and 3x3 box to confirm.\n\nStarting with row 2: The current numbers are 8, 2, 6, then a dot (missing), 7, 4, followed by 5, 9, 1. So the missing number is in position R2C4. Let's see what numbers are already present in that row. Existing numbers are 8, 2, 6, 7, 4, 5, 9, 1. Missing numbers in the row are 3 and possibly others? Wait, let's list all numbers 1-9. The row has 8,2,6,7,4,5,9,1. So missing numbers are 3 and maybe another? Wait, the row has 9 cells. Let's count: 8,2,6,.,7,4,5,9,1. So that's 8 numbers present, one missing. Let me list the existing numbers: 1,2,4,5,6,7,8,9. Missing is 3. So R2C4 must be 3.\n\nNow check column 4. Column 4 has in each row: R1:9, R2: ., R3:1, R4:4, R5:5, R6:2, R7:6, R8:7, R9:8. So existing numbers in column 4 are 9,1,4,5,2,6,7,8. Missing is 3. So yes, 3 is the only possible number here. Also, checking the 3x3 box for R2C4. The box is the top-middle box. Rows 1-3, columns 4-6. In that box, R1C4 is 9, R1C5 6, R1C6 8; R2C4 is empty, R2C5 7, R2C6 4; R3C4 1, R3C5 2, R3C6 5. The numbers present in this box are 9,6,8,7,4,1,2,5. Missing is 3. Therefore, R2C4 must be 3. \n\nSo the only missing cell is [2,4,3]. Let me make sure there are no other empty cells. Scanning the entire grid:\n\nRow 1: all filled. Row 2: only C4 is missing. Row 3: all filled. Row 4-6: all filled. Row 7-9: all filled. So only one cell to fill. Therefore, the answer is that single cell.\n</think>\n\n<answer>\n[\n [2, 4, 3]\n]\n</answer>",
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default
| 638 |
[
{
"content": "You are Sudoku solver. Given a Sudoku puzzle board, your job is to fill in the missing cells and return the fully solved board.\n\nOutput format:\n1) Provide your thoughts inside the <think> tag.\n2) Inside the <answer> tag, output a list of all filled cells as `[row, col, value]`, one entry per filled-in cell.\n\nDo not include any text outside of these tags.\n\nExample:\n<think>\nLet's analyze the grid and plan what cells to fill ... (example reasoning)\n</think>\n<answer>\n[\n [1, 3, 4],\n [2, 5, 7],\n [4, 7, 5],\n ...\n]\n</answer>\n\nNow it's your turn:\n[PUZZLE BOARD]:\n C1 C2 C3 C4 C5 C6 C7 C8 C9 \nR1 9 4 2 | 3 8 7 | 5 6 1\nR2 6 5 1 | 9 2 4 | 8 7 3\nR3 7 . 8 | 5 1 6 | 4 9 2\n - - - - - - - - - - - - - - - - \nR4 2 1 3 | 6 4 5 | 9 8 7\nR5 4 7 9 | 8 3 2 | 1 5 6\nR6 5 8 6 | 7 9 1 | 2 3 4\n - - - - - - - - - - - - - - - - \nR7 1 9 5 | 2 6 3 | 7 4 8\nR8 3 2 7 | 4 5 8 | 6 1 9\nR9 8 6 4 | 1 7 9 | 3 2 5\n",
"role": "user"
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{
"content": "<think>\nOkay, let's see. I need to solve this Sudoku puzzle. First, I'll look at the given board and find the missing cells. The only cell that's missing here is in R3, column 2. Let me check what's already there.\n\nLooking at row R3, the existing numbers are 7, 8, 5, 1, 6, 4, 9, 2. Missing numbers in this row would be 3 and maybe others? Wait, row R3 is: 7 in C1, then a dot (missing) in C2, 8 in C3. Then in the middle box, C4 is 5, C5 1, C6 6. Right box: C7 4, C8 9, C9 2. So the row has 7, 8, 5, 1, 6, 4, 9, 2. Wait, the numbers present in the row are 1,2,4,5,6,7,8,9. So the missing number is 3 in R3C2.\n\nNow, let's check the column for C2. Column C2 has: R1:4, R2:5, R3: ?, R4:1, R5:7, R6:8, R7:9, R8:2, R9:6. So existing numbers are 4,5,1,7,8,9,2,6. Missing in column C2 is 3. So R3C2 must be 3. Also, check the 3x3 box for R3. R3 is in the top-middle box (rows 1-3, columns 4-6?), wait no. Wait, the Sudoku is divided into 9 3x3 boxes. R3 is in the middle-left box? Let me think. The first three rows are top boxes. The middle rows (4-6) and bottom (7-9). For columns, the first three columns are left boxes, middle columns 4-6, right 7-9. So R3 is row 3, columns 1-3 is the top-left box, columns 4-6 top-middle, etc. Wait, R3 is in the top-left box for columns 1-3. The missing cell is in R3C2, which is in the top-left box. Let me check that box. The top-left box includes R1-R3, C1-C3. Existing numbers in that box: R1 has 9,4,2; R2 has 6,5,1; R3 has 7, . ,8. So existing numbers are 9,4,2,6,5,1,7,8. Missing is 3. Therefore, R3C2 must be 3. All checks (row, column, box) confirm that the missing value is 3. So the filled cell is [3,2,3].\n</think>\n\n<answer>\n[\n [3, 2, 3]\n]\n</answer>",
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default
| 660 |
End of preview. Expand
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README.md exists but content is empty.
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