data_source
stringclasses 1
value | prompt
listlengths 1
1
| ability
stringclasses 1
value | reward_model
dict | extra_info
dict |
|---|---|---|---|---|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0321003004002100\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "4321123434122143",
"style": "rule"
}
|
{
"answer": "4321123434122143",
"index": 0,
"question": "0321003004002100",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 1400000032104020\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "1432234132144123",
"style": "rule"
}
|
{
"answer": "1432234132144123",
"index": 1,
"question": "1400000032104020",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0010000402400421\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "4312213412433421",
"style": "rule"
}
|
{
"answer": "4312213412433421",
"index": 2,
"question": "0010000402400421",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0300210000011043\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "4312213434211243",
"style": "rule"
}
|
{
"answer": "4312213434211243",
"index": 3,
"question": "0300210000011043",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0102203040001020\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "3142243142131324",
"style": "rule"
}
|
{
"answer": "3142243142131324",
"index": 4,
"question": "0102203040001020",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0132030100001020\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "4132234132141423",
"style": "rule"
}
|
{
"answer": "4132234132141423",
"index": 5,
"question": "0132030100001020",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 1400020000434020\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "1432321421434321",
"style": "rule"
}
|
{
"answer": "1432321421434321",
"index": 6,
"question": "1400020000434020",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0000430204300104\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "1243431224313124",
"style": "rule"
}
|
{
"answer": "1243431224313124",
"index": 7,
"question": "0000430204300104",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 1200340101400000\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "1234342121434312",
"style": "rule"
}
|
{
"answer": "1234342121434312",
"index": 8,
"question": "1200340101400000",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 2000030204001203\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "2134431234211243",
"style": "rule"
}
|
{
"answer": "2134431234211243",
"index": 9,
"question": "2000030204001203",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0020320143020000\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "1423324143122134",
"style": "rule"
}
|
{
"answer": "1423324143122134",
"index": 10,
"question": "0020320143020000",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 4002010000043420\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "4312214312343421",
"style": "rule"
}
|
{
"answer": "4312214312343421",
"index": 11,
"question": "4002010000043420",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 2430104000130000\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "2431134242133124",
"style": "rule"
}
|
{
"answer": "2431134242133124",
"index": 12,
"question": "2430104000130000",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0100200143100040\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "3124243143121243",
"style": "rule"
}
|
{
"answer": "3124243143121243",
"index": 13,
"question": "0100200143100040",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 1400200402400020\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "1432231432414123",
"style": "rule"
}
|
{
"answer": "1432231432414123",
"index": 14,
"question": "1400200402400020",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0402103020030020\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "3412123421434321",
"style": "rule"
}
|
{
"answer": "3412123421434321",
"index": 15,
"question": "0402103020030020",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 1003020001304002\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "1423324121344312",
"style": "rule"
}
|
{
"answer": "1423324121344312",
"index": 16,
"question": "1003020001304002",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0310100000202043\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "4312123434212143",
"style": "rule"
}
|
{
"answer": "4312123434212143",
"index": 17,
"question": "0310100000202043",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0204402003000031\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "3214412313422431",
"style": "rule"
}
|
{
"answer": "3214412313422431",
"index": 18,
"question": "0204402003000031",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0014002040002041\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "3214142341322341",
"style": "rule"
}
|
{
"answer": "3214142341322341",
"index": 19,
"question": "0014002040002041",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 3120020300000041\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "3124421314322341",
"style": "rule"
}
|
{
"answer": "3124421314322341",
"index": 20,
"question": "3120020300000041",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0030000203010123\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "1234341223414123",
"style": "rule"
}
|
{
"answer": "1234341223414123",
"index": 21,
"question": "0030000203010123",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 4003010203002001\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "4213314213242431",
"style": "rule"
}
|
{
"answer": "4213314213242431",
"index": 22,
"question": "4003010203002001",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0000004234200130\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "4213134234212134",
"style": "rule"
}
|
{
"answer": "4213134234212134",
"index": 23,
"question": "0000004234200130",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0200400203040013\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "3241413213242413",
"style": "rule"
}
|
{
"answer": "3241413213242413",
"index": 24,
"question": "0200400203040013",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 2030102400000042\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "2431132442133142",
"style": "rule"
}
|
{
"answer": "2431132442133142",
"index": 25,
"question": "2030102400000042",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0000120400434001\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "3412123421434321",
"style": "rule"
}
|
{
"answer": "3412123421434321",
"index": 26,
"question": "0000120400434001",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0000010202401403\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "2314413232411423",
"style": "rule"
}
|
{
"answer": "2314413232411423",
"index": 27,
"question": "0000010202401403",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0014010004010042\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "3214412324311342",
"style": "rule"
}
|
{
"answer": "3214412324311342",
"index": 28,
"question": "0014010004010042",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 2031034000003020\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "2431134242133124",
"style": "rule"
}
|
{
"answer": "2431134242133124",
"index": 29,
"question": "2031034000003020",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0230400030122000\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "1234432134122143",
"style": "rule"
}
|
{
"answer": "1234432134122143",
"index": 30,
"question": "0230400030122000",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 4301010300300004\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "4321214314323214",
"style": "rule"
}
|
{
"answer": "4321214314323214",
"index": 31,
"question": "4301010300300004",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 4003002000302041\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "4213312414322341",
"style": "rule"
}
|
{
"answer": "4213312414322341",
"index": 32,
"question": "4003002000302041",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0010200002300321\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "3412214312344321",
"style": "rule"
}
|
{
"answer": "3412214312344321",
"index": 33,
"question": "0010200002300321",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 2000013200041020\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "2341413232141423",
"style": "rule"
}
|
{
"answer": "2341413232141423",
"index": 34,
"question": "2000013200041020",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0010040043202040\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "3214143243212143",
"style": "rule"
}
|
{
"answer": "3214143243212143",
"index": 35,
"question": "0010040043202040",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0001200304020210\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "4321214314323214",
"style": "rule"
}
|
{
"answer": "4321214314323214",
"index": 36,
"question": "0001200304020210",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 2100300012300002\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "2143342112344312",
"style": "rule"
}
|
{
"answer": "2143342112344312",
"index": 37,
"question": "2100300012300002",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 3004000214030300\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "3214413214232341",
"style": "rule"
}
|
{
"answer": "3214413214232341",
"index": 38,
"question": "3004000214030300",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0000210403100240\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "3421213443121243",
"style": "rule"
}
|
{
"answer": "3421213443121243",
"index": 39,
"question": "0000210403100240",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0200300241002040\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "1234341241232341",
"style": "rule"
}
|
{
"answer": "1234341241232341",
"index": 40,
"question": "0200300241002040",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0400230432000020\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "1432231432414123",
"style": "rule"
}
|
{
"answer": "1432231432414123",
"index": 41,
"question": "0400230432000020",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0040000210200314\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "3241413214232314",
"style": "rule"
}
|
{
"answer": "3241413214232314",
"index": 42,
"question": "0040000210200314",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0213002004020300\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "4213312414322341",
"style": "rule"
}
|
{
"answer": "4213312414322341",
"index": 43,
"question": "0213002004020300",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0203300000410402\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "4213312423411432",
"style": "rule"
}
|
{
"answer": "4213312423411432",
"index": 44,
"question": "0203300000410402",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0243430000120000\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "1243432134122134",
"style": "rule"
}
|
{
"answer": "1243432134122134",
"index": 45,
"question": "0243430000120000",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0004030014230001\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "2134431214233241",
"style": "rule"
}
|
{
"answer": "2134431214233241",
"index": 46,
"question": "0004030014230001",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0320003120003010\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "1324423121433412",
"style": "rule"
}
|
{
"answer": "1324423121433412",
"index": 47,
"question": "0320003120003010",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0300024320300002\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "4321124321343412",
"style": "rule"
}
|
{
"answer": "4321124321343412",
"index": 48,
"question": "0300024320300002",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0003401004001230\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "2143431234211234",
"style": "rule"
}
|
{
"answer": "2143431234211234",
"index": 49,
"question": "0003401004001230",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0012204003001200\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "3412214343211234",
"style": "rule"
}
|
{
"answer": "3412214343211234",
"index": 50,
"question": "0012204003001200",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0143002000303200\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "2143432114323214",
"style": "rule"
}
|
{
"answer": "2143432114323214",
"index": 51,
"question": "0143002000303200",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 3410000020304300\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "3412124321344321",
"style": "rule"
}
|
{
"answer": "3412124321344321",
"index": 52,
"question": "3410000020304300",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0040300201340020\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "1243341221344321",
"style": "rule"
}
|
{
"answer": "1243341221344321",
"index": 53,
"question": "0040300201340020",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 2003030201040030\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "2413134231244231",
"style": "rule"
}
|
{
"answer": "2413134231244231",
"index": 54,
"question": "2003030201040030",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 2041103030200000\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "2341143231244213",
"style": "rule"
}
|
{
"answer": "2341143231244213",
"index": 55,
"question": "2041103030200000",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0210010423000030\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "4213312423411432",
"style": "rule"
}
|
{
"answer": "4213312423411432",
"index": 56,
"question": "0210010423000030",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 2003302040310000\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "2413312442311342",
"style": "rule"
}
|
{
"answer": "2413312442311342",
"index": 57,
"question": "2003302040310000",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0342000100004013\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "1342243131244213",
"style": "rule"
}
|
{
"answer": "1342243131244213",
"index": 58,
"question": "0342000100004013",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 1003024003004030\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "1423324123144132",
"style": "rule"
}
|
{
"answer": "1423324123144132",
"index": 59,
"question": "1003024003004030",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0040400102101030\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "2143432132141432",
"style": "rule"
}
|
{
"answer": "2143432132141432",
"index": 60,
"question": "0040400102101030",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 2401000410000210\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "2431312413424213",
"style": "rule"
}
|
{
"answer": "2431312413424213",
"index": 61,
"question": "2401000410000210",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0203300041002004\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "1243342141322314",
"style": "rule"
}
|
{
"answer": "1243342141322314",
"index": 62,
"question": "0203300041002004",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 2000314210000010\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "2431314213244213",
"style": "rule"
}
|
{
"answer": "2431314213244213",
"index": 63,
"question": "2000314210000010",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 2130000030211000\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "2134431234211243",
"style": "rule"
}
|
{
"answer": "2134431234211243",
"index": 64,
"question": "2130000030211000",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0031012010024000\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "2431312413424213",
"style": "rule"
}
|
{
"answer": "2431312413424213",
"index": 65,
"question": "0031012010024000",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 1024000342000002\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "1324241342313142",
"style": "rule"
}
|
{
"answer": "1324241342313142",
"index": 66,
"question": "1024000342000002",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 2010400000410023\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "2314413232411423",
"style": "rule"
}
|
{
"answer": "2314413232411423",
"index": 67,
"question": "2010400000410023",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 4020030000323001\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "4123231414323241",
"style": "rule"
}
|
{
"answer": "4123231414323241",
"index": 68,
"question": "4020030000323001",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0430021020004100\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "1432321423414123",
"style": "rule"
}
|
{
"answer": "1432321423414123",
"index": 69,
"question": "0430021020004100",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0040030202340001\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "2143431212343421",
"style": "rule"
}
|
{
"answer": "2143431212343421",
"index": 70,
"question": "0040030202340001",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0000003101433010\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "1324423121433412",
"style": "rule"
}
|
{
"answer": "1324423121433412",
"index": 71,
"question": "0000003101433010",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 0200401200033020\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "1234431221433421",
"style": "rule"
}
|
{
"answer": "1234431221433421",
"index": 72,
"question": "0200401200033020",
"split": "train"
}
|
sudoku_4x4
|
[
{
"content": "\nPlease solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character string reading left-to-right, top-to-bottom, where '0' represents empty cells.\n\nRules:\n- Fill empty cells with digits 1-4\n- Each row must contain digits 1-4 exactly once\n- Each column must contain digits 1-4 exactly once\n- Each 2x2 box must contain digits 1-4 exactly once\n\nImportant: Your solution must be a COMPLETE 16-character string with only the digits 1-4, representing your final solved grid.\n\nRespond in this exact format:\n<reasoning>\nYour step-by-step solving process\n</reasoning>\n<answer>\n[16-character solution string with no spaces or separators]\n</answer>\n\n\nQuestion:\nSolve the following Sudoku puzzle: 3014002020004130\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 3 0 1 4\nR2: 0 0 2 0\nR3: 2 0 0 0\nR4: 4 1 3 0\n\nFill easy singles:\nR1 missing 2 → R1C2=2.\nR4 missing 2 → R4C4=2.\nBox D (R3-4,C3-4) then needs {1,4}; column4 can only accept 1 → R3C4=1, R3C3=4.\nR3 now missing 3 → R3C2=3.\nColumn1 missing 1 → R2C1=1.\nColumn2 missing 4 → R2C2=4.\nLast cell R2C4=3.\n\nFinal grid:\nR1: 3 2 1 4\nR2: 1 4 2 3\nR3: 2 3 4 1\nR4: 4 1 3 2\n</reasoning>\n<answer>\n3214142323414132\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 0000100420013142\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 0 0 0 0\nR2: 1 0 0 4\nR3: 2 0 0 1\nR4: 3 1 4 2\n\nFill easy singles:\nCol1 missing 4 → R1C1=4.\nCol4 missing 3 → R1C4=3.\nBox A (R1-2,C1-2) missing {2,3} and R1 now needs {1,2} → R1C2=2, R2C2=3.\nR1C3=1.\nR2 now missing 2 → R2C3=2.\nCol2 missing 4 → R3C2=4, then R3C3=3.\n\nFinal grid:\nR1: 4 2 1 3\nR2: 1 3 2 4\nR3: 2 4 3 1\nR4: 3 1 4 2\n</reasoning>\n<answer>\n4213132424313142\n</answer>\n\nQuestion:\nSolve the following Sudoku puzzle: 2001403002001420\nAnswer:\n<reasoning>\nInterpret puzzle as 4 rows of 4:\nR1: 2 0 0 1\nR2: 4 0 3 0\nR3: 0 2 0 0\nR4: 1 4 2 0\n\nFill easy singles:\nR1 missing {3,4}; Col2 can't be 1 so R1C2=3 → R1C3=4.\nR4 missing 3 → R4C4=3.\nCol4 missing {2,4}; R2 must take 2 → R2C4=2 → R2C2=1.\nCol1 missing 3 → R3C1=3.\nCol3 missing 1 → R3C3=1 → R3C4=4.\n\nFinal grid:\nR1: 2 3 4 1\nR2: 4 1 3 2\nR3: 3 2 1 4\nR4: 1 4 2 3\n</reasoning>\n<answer>\n2341413232141423\n</answer>\n\nQuestion: Solve the following Sudoku puzzle: 3200010200411000\nAnswer:\n",
"role": "user"
}
] |
logic
|
{
"ground_truth": "3214413223411423",
"style": "rule"
}
|
{
"answer": "3214413223411423",
"index": 73,
"question": "3200010200411000",
"split": "train"
}
|
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