Datasets:
prompt listlengths 1 1 | data_source stringclasses 1 value | extra_info dict | reward_model dict |
|---|---|---|---|
[
{
"content": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicat... | futoshiki | {
"answer": [
[
2,
1,
3,
4,
5
],
[
1,
2,
5,
3,
4
],
[
4,
3,
2,
5,
1
],
[
5,
4,
1,
2,
3
],
[
3,
5,
4,
1,
2
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 3, \"prefilled_coords\": [[4, 1], [2, 2], [4, 3]], \"constraints\": [[[0, 0], [1, 0], \"<\"], [[0, 0], [0, 1], \">\"], [[3, 2], [3, 3], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\nX X 2 X X\nX X X X X\nX 5 X 1 X\n\nInequality constraints:\n(1,1) < (2,1)\n(1,1) > (1,2)\n(4,3) < (4,4)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. First analyze the inequality constraints to determine possible number ranges for certain cells.\n2. Combine pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
2,
1,
3,
4,
5
],
[
1,
2,
5,
3,
4
],
[
4,
3,
2,
5,
1
],
[
5,
4,
1,
2,
3
],
[
3,
5,
4,
1,
2
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
1,
2,
4,
3,
5
],
[
5,
4,
2,
1,
3
],
[
3,
5,
1,
2,
4
],
[
4,
1,
3,
5,
2
],
[
2,
3,
5,
4,
1
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 3, \"prefilled_coords\": [[3, 0], [4, 4], [3, 2]], \"constraints\": [[[1, 4], [2, 4], \"<\"], [[1, 2], [2, 2], \">\"], [[1, 2], [1, 3], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\nX X X X X\n4 X 3 X X\nX X X X 1\n\nInequality constraints:\n(2,5) < (3,5)\n(2,3) > (3,3)\n(2,3) > (2,4)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
1,
2,
4,
3,
5
],
[
5,
4,
2,
1,
3
],
[
3,
5,
1,
2,
4
],
[
4,
1,
3,
5,
2
],
[
2,
3,
5,
4,
1
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicat... | futoshiki | {
"answer": [
[
5,
1,
3,
4,
2
],
[
2,
4,
1,
3,
5
],
[
3,
5,
2,
1,
4
],
[
1,
2,
4,
5,
3
],
[
4,
3,
5,
2,
1
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 3, \"prefilled_coords\": [[4, 0], [0, 2], [3, 1]], \"constraints\": [[[2, 2], [3, 2], \">\"], [[0, 3], [1, 3], \"<\"], [[0, 1], [1, 1], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X 3 X X\nX X X X X\nX X X X X\nX 2 X X X\n4 X X X X\n\nInequality constraints:\n(3,3) > (4,3)\n(1,4) < (2,4)\n(1,2) < (2,2)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. First analyze the inequality constraints to determine possible number ranges for certain cells.\n2. Combine pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
5,
1,
3,
4,
2
],
[
2,
4,
1,
3,
5
],
[
3,
5,
2,
1,
4
],
[
1,
2,
4,
5,
3
],
[
4,
3,
5,
2,
1
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
3,
2,
1,
4,
5
],
[
1,
5,
3,
2,
4
],
[
2,
1,
4,
5,
3
],
[
5,
4,
2,
3,
1
],
[
4,
3,
5,
1,
2
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 3, \"prefilled_coords\": [[0, 1], [3, 2], [0, 0]], \"constraints\": [[[0, 3], [0, 4], \"<\"], [[4, 0], [4, 1], \"<\"], [[2, 2], [2, 3], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\n3 2 X X X\nX X X X X\nX X X X X\nX X 2 X X\nX X X X X\n\nInequality constraints:\n(1,4) < (1,5)\n(5,1) < (5,2)\n(3,3) < (3,4)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
3,
2,
1,
4,
5
],
[
1,
5,
3,
2,
4
],
[
2,
1,
4,
5,
3
],
[
5,
4,
2,
3,
1
],
[
4,
3,
5,
1,
2
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
5,
4,
2,
3,
1
],
[
2,
5,
1,
4,
3
],
[
4,
3,
5,
1,
2
],
[
1,
2,
3,
5,
4
],
[
3,
1,
4,
2,
5
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 3, \"prefilled_coords\": [[3, 1], [3, 0], [3, 3]], \"constraints\": [[[4, 2], [4, 3], \">\"], [[2, 4], [3, 4], \">\"], [[2, 2], [3, 2], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\nX X X X X\n1 2 X 5 X\nX X X X X\n\nInequality constraints:\n(5,3) > (5,4)\n(3,5) > (4,5)\n(3,3) > (4,3)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
5,
4,
2,
3,
1
],
[
2,
5,
1,
4,
3
],
[
4,
3,
5,
1,
2
],
[
1,
2,
3,
5,
4
],
[
3,
1,
4,
2,
5
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
5,
2,
4,
1,
3
],
[
1,
4,
5,
3,
2
],
[
3,
5,
2,
4,
1
],
[
2,
1,
3,
5,
4
],
[
4,
3,
1,
2,
5
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 3, \"prefilled_coords\": [[0, 4], [3, 4], [1, 4]], \"constraints\": [[[0, 0], [1, 0], \">\"], [[2, 1], [3, 1], \">\"], [[1, 0], [2, 0], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X 3\nX X X X 2\nX X X X X\nX X X X 4\nX X X X X\n\nInequality constraints:\n(1,1) > (2,1)\n(3,2) > (4,2)\n(2,1) > (3,1)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
5,
2,
4,
1,
3
],
[
1,
4,
5,
3,
2
],
[
3,
5,
2,
4,
1
],
[
2,
1,
3,
5,
4
],
[
4,
3,
1,
2,
5
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
1,
5,
2,
4,
3
],
[
5,
4,
3,
1,
2
],
[
2,
3,
1,
5,
4
],
[
4,
2,
5,
3,
1
],
[
3,
1,
4,
2,
5
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 3, \"prefilled_coords\": [[2, 1], [3, 3], [0, 1]], \"constraints\": [[[0, 2], [1, 2], \"<\"], [[0, 0], [1, 0], \"<\"], [[1, 2], [1, 3], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX 5 X X X\nX X X X X\nX 3 X X X\nX X X 3 X\nX X X X X\n\nInequality constraints:\n(1,3) < (2,3)\n(1,1) < (2,1)\n(2,3) > (2,4)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
1,
5,
2,
4,
3
],
[
5,
4,
3,
1,
2
],
[
2,
3,
1,
5,
4
],
[
4,
2,
5,
3,
1
],
[
3,
1,
4,
2,
5
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicat... | futoshiki | {
"answer": [
[
3,
1,
4,
5,
2
],
[
4,
3,
1,
2,
5
],
[
2,
5,
3,
1,
4
],
[
1,
2,
5,
4,
3
],
[
5,
4,
2,
3,
1
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 3, \"prefilled_coords\": [[4, 1], [3, 1], [1, 1]], \"constraints\": [[[2, 0], [2, 1], \"<\"], [[2, 4], [3, 4], \">\"], [[4, 3], [4, 4], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX 3 X X X\nX X X X X\nX 2 X X X\nX 4 X X X\n\nInequality constraints:\n(3,1) < (3,2)\n(3,5) > (4,5)\n(5,4) > (5,5)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. First analyze the inequality constraints to determine possible number ranges for certain cells.\n2. Combine pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
3,
1,
4,
5,
2
],
[
4,
3,
1,
2,
5
],
[
2,
5,
3,
1,
4
],
[
1,
2,
5,
4,
3
],
[
5,
4,
2,
3,
1
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicat... | futoshiki | {
"answer": [
[
5,
3,
4,
2,
1
],
[
1,
2,
3,
5,
4
],
[
3,
5,
1,
4,
2
],
[
4,
1,
2,
3,
5
],
[
2,
4,
5,
1,
3
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 3, \"prefilled_coords\": [[4, 3], [3, 4], [0, 1]], \"constraints\": [[[2, 3], [2, 4], \">\"], [[4, 3], [4, 4], \"<\"], [[2, 4], [3, 4], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX 3 X X X\nX X X X X\nX X X X X\nX X X X 5\nX X X 1 X\n\nInequality constraints:\n(3,4) > (3,5)\n(5,4) < (5,5)\n(3,5) > (4,5)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. First analyze the inequality constraints to determine possible number ranges for certain cells.\n2. Combine pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
5,
3,
4,
2,
1
],
[
1,
2,
3,
5,
4
],
[
3,
5,
1,
4,
2
],
[
4,
1,
2,
3,
5
],
[
2,
4,
5,
1,
3
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicat... | futoshiki | {
"answer": [
[
3,
4,
2,
5,
1
],
[
4,
5,
3,
1,
2
],
[
5,
1,
4,
2,
3
],
[
2,
3,
1,
4,
5
],
[
1,
2,
5,
3,
4
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 3, \"prefilled_coords\": [[2, 1], [1, 4], [0, 1]], \"constraints\": [[[3, 3], [3, 4], \"<\"], [[1, 0], [2, 0], \"<\"], [[2, 3], [3, 3], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX 4 X X X\nX X X X 2\nX 1 X X X\nX X X X X\nX X X X X\n\nInequality constraints:\n(4,4) < (4,5)\n(2,1) < (3,1)\n(3,4) < (4,4)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. First analyze the inequality constraints to determine possible number ranges for certain cells.\n2. Combine pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
3,
4,
2,
5,
1
],
[
4,
5,
3,
1,
2
],
[
5,
1,
4,
2,
3
],
[
2,
3,
1,
4,
5
],
[
1,
2,
5,
3,
4
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
2,
1,
3,
5,
4
],
[
4,
5,
1,
3,
2
],
[
1,
4,
5,
2,
3
],
[
3,
2,
4,
1,
5
],
[
5,
3,
2,
4,
1
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 3, \"prefilled_coords\": [[1, 3], [1, 2], [1, 1]], \"constraints\": [[[0, 4], [1, 4], \">\"], [[2, 3], [3, 3], \">\"], [[2, 4], [3, 4], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX 5 1 3 X\nX X X X X\nX X X X X\nX X X X X\n\nInequality constraints:\n(1,5) > (2,5)\n(3,4) > (4,4)\n(3,5) < (4,5)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
2,
1,
3,
5,
4
],
[
4,
5,
1,
3,
2
],
[
1,
4,
5,
2,
3
],
[
3,
2,
4,
1,
5
],
[
5,
3,
2,
4,
1
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicat... | futoshiki | {
"answer": [
[
5,
4,
2,
3,
1
],
[
3,
1,
4,
2,
5
],
[
2,
5,
3,
1,
4
],
[
4,
3,
1,
5,
2
],
[
1,
2,
5,
4,
3
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 3, \"prefilled_coords\": [[3, 1], [1, 3], [1, 0]], \"constraints\": [[[1, 1], [2, 1], \">\"], [[0, 0], [0, 1], \">\"], [[0, 3], [1, 3], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\n3 X X 2 X\nX X X X X\nX 3 X X X\nX X X X X\n\nInequality constraints:\n(2,2) > (3,2)\n(1,1) > (1,2)\n(1,4) > (2,4)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. First analyze the inequality constraints to determine possible number ranges for certain cells.\n2. Combine pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
5,
4,
2,
3,
1
],
[
3,
1,
4,
2,
5
],
[
2,
5,
3,
1,
4
],
[
4,
3,
1,
5,
2
],
[
1,
2,
5,
4,
3
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
1,
2,
4,
3,
5
],
[
2,
5,
1,
4,
3
],
[
3,
1,
5,
2,
4
],
[
4,
3,
2,
5,
1
],
[
5,
4,
3,
1,
2
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 3, \"prefilled_coords\": [[1, 0], [1, 3], [4, 0]], \"constraints\": [[[3, 0], [4, 0], \"<\"], [[3, 1], [4, 1], \"<\"], [[2, 3], [2, 4], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\n2 X X 4 X\nX X X X X\nX X X X X\n5 X X X X\n\nInequality constraints:\n(4,1) < (5,1)\n(4,2) < (5,2)\n(3,4) < (3,5)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
1,
2,
4,
3,
5
],
[
2,
5,
1,
4,
3
],
[
3,
1,
5,
2,
4
],
[
4,
3,
2,
5,
1
],
[
5,
4,
3,
1,
2
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
4,
1,
2,
3,
5
],
[
5,
2,
1,
4,
3
],
[
1,
3,
4,
5,
2
],
[
3,
4,
5,
2,
1
],
[
2,
5,
3,
1,
4
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 3, \"prefilled_coords\": [[3, 2], [0, 1], [0, 3]], \"constraints\": [[[0, 0], [1, 0], \">\"], [[3, 1], [3, 2], \"<\"], [[3, 3], [3, 4], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX 1 X 3 X\nX X X X X\nX X X X X\nX X 5 X X\nX X X X X\n\nInequality constraints:\n(1,1) > (2,1)\n(4,2) < (4,3)\n(4,4) < (4,5)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
4,
1,
2,
3,
5
],
[
5,
2,
1,
4,
3
],
[
1,
3,
4,
5,
2
],
[
3,
4,
5,
2,
1
],
[
2,
5,
3,
1,
4
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
3,
5,
4,
1,
2
],
[
4,
3,
2,
5,
1
],
[
5,
2,
1,
3,
4
],
[
2,
1,
3,
4,
5
],
[
1,
4,
5,
2,
3
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 3, \"prefilled_coords\": [[0, 4], [3, 3], [1, 4]], \"constraints\": [[[2, 1], [3, 1], \"<\"], [[2, 0], [2, 1], \"<\"], [[3, 0], [3, 1], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X 2\nX X X X 1\nX X X X X\nX X X 4 X\nX X X X X\n\nInequality constraints:\n(3,2) < (4,2)\n(3,1) < (3,2)\n(4,1) > (4,2)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
3,
5,
4,
1,
2
],
[
4,
3,
2,
5,
1
],
[
5,
2,
1,
3,
4
],
[
2,
1,
3,
4,
5
],
[
1,
4,
5,
2,
3
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
4,
5,
1,
3,
2
],
[
1,
2,
5,
4,
3
],
[
5,
3,
4,
2,
1
],
[
3,
1,
2,
5,
4
],
[
2,
4,
3,
1,
5
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 3, \"prefilled_coords\": [[4, 4], [0, 3], [1, 1]], \"constraints\": [[[2, 0], [2, 1], \">\"], [[1, 1], [1, 2], \"<\"], [[0, 0], [1, 0], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X 3 X\nX 2 X X X\nX X X X X\nX X X X X\nX X X X 5\n\nInequality constraints:\n(3,1) > (3,2)\n(2,2) < (2,3)\n(1,1) < (2,1)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
4,
5,
1,
3,
2
],
[
1,
2,
5,
4,
3
],
[
5,
3,
4,
2,
1
],
[
3,
1,
2,
5,
4
],
[
2,
4,
3,
1,
5
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
5,
1,
2,
3,
4
],
[
4,
5,
3,
1,
2
],
[
2,
3,
1,
4,
5
],
[
1,
4,
5,
2,
3
],
[
3,
2,
4,
5,
1
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 3, \"prefilled_coords\": [[3, 4], [4, 1], [1, 4]], \"constraints\": [[[2, 1], [3, 1], \">\"], [[3, 3], [3, 4], \"<\"], [[4, 0], [4, 1], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X 2\nX X X X X\nX X X X 3\nX 2 X X X\n\nInequality constraints:\n(3,2) > (4,2)\n(4,4) < (4,5)\n(5,1) < (5,2)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
5,
1,
2,
3,
4
],
[
4,
5,
3,
1,
2
],
[
2,
3,
1,
4,
5
],
[
1,
4,
5,
2,
3
],
[
3,
2,
4,
5,
1
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicat... | futoshiki | {
"answer": [
[
4,
2,
1,
3,
5
],
[
1,
3,
2,
5,
4
],
[
3,
4,
5,
1,
2
],
[
2,
5,
3,
4,
1
],
[
5,
1,
4,
2,
3
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 3, \"prefilled_coords\": [[3, 1], [1, 3], [2, 0]], \"constraints\": [[[2, 4], [3, 4], \">\"], [[0, 1], [1, 1], \">\"], [[4, 0], [4, 1], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X 5 X\n3 X X X X\nX 5 X X X\nX X X X X\n\nInequality constraints:\n(3,5) > (4,5)\n(1,2) > (2,2)\n(5,1) > (5,2)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. First analyze the inequality constraints to determine possible number ranges for certain cells.\n2. Combine pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
4,
2,
1,
3,
5
],
[
1,
3,
2,
5,
4
],
[
3,
4,
5,
1,
2
],
[
2,
5,
3,
4,
1
],
[
5,
1,
4,
2,
3
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
5,
2,
3,
1,
4
],
[
4,
5,
1,
3,
2
],
[
1,
4,
5,
2,
3
],
[
3,
1,
2,
4,
5
],
[
2,
3,
4,
5,
1
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 3, \"prefilled_coords\": [[3, 4], [0, 2], [1, 4]], \"constraints\": [[[2, 0], [2, 1], \"<\"], [[0, 3], [0, 4], \"<\"], [[3, 2], [4, 2], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X 3 X X\nX X X X 2\nX X X X X\nX X X X 5\nX X X X X\n\nInequality constraints:\n(3,1) < (3,2)\n(1,4) < (1,5)\n(4,3) > (5,3)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
5,
2,
3,
1,
4
],
[
4,
5,
1,
3,
2
],
[
1,
4,
5,
2,
3
],
[
3,
1,
2,
4,
5
],
[
2,
3,
4,
5,
1
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicat... | futoshiki | {
"answer": [
[
1,
5,
4,
3,
2
],
[
2,
3,
1,
4,
5
],
[
5,
2,
3,
1,
4
],
[
4,
1,
2,
5,
3
],
[
3,
4,
5,
2,
1
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 3, \"prefilled_coords\": [[4, 3], [1, 3], [4, 2]], \"constraints\": [[[3, 1], [3, 2], \"<\"], [[0, 2], [0, 3], \"<\"], [[0, 3], [0, 4], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X 4 X\nX X X X X\nX X X X X\nX X 5 2 X\n\nInequality constraints:\n(4,2) < (4,3)\n(1,3) < (1,4)\n(1,4) < (1,5)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. First analyze the inequality constraints to determine possible number ranges for certain cells.\n2. Combine pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
1,
5,
4,
3,
2
],
[
2,
3,
1,
4,
5
],
[
5,
2,
3,
1,
4
],
[
4,
1,
2,
5,
3
],
[
3,
4,
5,
2,
1
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
5,
2,
4,
1,
3
],
[
2,
3,
5,
4,
1
],
[
1,
5,
3,
2,
4
],
[
4,
1,
2,
3,
5
],
[
3,
4,
1,
5,
2
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 3, \"prefilled_coords\": [[4, 0], [1, 4], [2, 2]], \"constraints\": [[[0, 2], [0, 3], \">\"], [[4, 0], [4, 1], \"<\"], [[2, 4], [3, 4], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X 1\nX X 3 X X\nX X X X X\n3 X X X X\n\nInequality constraints:\n(1,3) > (1,4)\n(5,1) < (5,2)\n(3,5) < (4,5)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
5,
2,
4,
1,
3
],
[
2,
3,
5,
4,
1
],
[
1,
5,
3,
2,
4
],
[
4,
1,
2,
3,
5
],
[
3,
4,
1,
5,
2
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
1,
5,
2,
3,
4
],
[
4,
2,
1,
5,
3
],
[
3,
4,
5,
2,
1
],
[
5,
3,
4,
1,
2
],
[
2,
1,
3,
4,
5
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 3, \"prefilled_coords\": [[2, 1], [4, 2], [1, 4]], \"constraints\": [[[1, 2], [2, 2], \"<\"], [[2, 0], [2, 1], \">\"], [[4, 0], [4, 1], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X 3\nX 4 X X X\nX X X X X\nX X 3 X X\n\nInequality constraints:\n(2,3) < (3,3)\n(3,1) > (3,2)\n(5,1) < (5,2)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
1,
5,
2,
3,
4
],
[
4,
2,
1,
5,
3
],
[
3,
4,
5,
2,
1
],
[
5,
3,
4,
1,
2
],
[
2,
1,
3,
4,
5
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
1,
4,
5,
2,
3
],
[
3,
1,
2,
4,
5
],
[
4,
5,
3,
1,
2
],
[
5,
2,
1,
3,
4
],
[
2,
3,
4,
5,
1
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 3, \"prefilled_coords\": [[2, 2], [3, 3], [2, 0]], \"constraints\": [[[1, 3], [2, 3], \">\"], [[1, 0], [1, 1], \"<\"], [[3, 4], [4, 4], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\n4 X 3 X X\nX X X 3 X\nX X X X X\n\nInequality constraints:\n(2,4) > (3,4)\n(2,1) < (2,2)\n(4,5) < (5,5)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
1,
4,
5,
2,
3
],
[
3,
1,
2,
4,
5
],
[
4,
5,
3,
1,
2
],
[
5,
2,
1,
3,
4
],
[
2,
3,
4,
5,
1
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicat... | futoshiki | {
"answer": [
[
2,
3,
1,
5,
4
],
[
5,
4,
2,
1,
3
],
[
3,
1,
5,
4,
2
],
[
4,
5,
3,
2,
1
],
[
1,
2,
4,
3,
5
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 3, \"prefilled_coords\": [[3, 0], [3, 1], [4, 2]], \"constraints\": [[[0, 2], [0, 3], \"<\"], [[1, 4], [2, 4], \">\"], [[0, 4], [1, 4], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\nX X X X X\n4 5 X X X\nX X 4 X X\n\nInequality constraints:\n(1,3) < (1,4)\n(2,5) > (3,5)\n(1,5) < (2,5)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. First analyze the inequality constraints to determine possible number ranges for certain cells.\n2. Combine pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
2,
3,
1,
5,
4
],
[
5,
4,
2,
1,
3
],
[
3,
1,
5,
4,
2
],
[
4,
5,
3,
2,
1
],
[
1,
2,
4,
3,
5
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
1,
3,
4,
2,
5
],
[
5,
4,
3,
1,
2
],
[
2,
1,
5,
4,
3
],
[
3,
2,
1,
5,
4
],
[
4,
5,
2,
3,
1
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 3, \"prefilled_coords\": [[1, 2], [3, 1], [0, 1]], \"constraints\": [[[1, 2], [1, 3], \">\"], [[0, 1], [0, 2], \"<\"], [[2, 2], [3, 2], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX 3 X X X\nX X 3 X X\nX X X X X\nX 2 X X X\nX X X X X\n\nInequality constraints:\n(2,3) > (2,4)\n(1,2) < (1,3)\n(3,3) < (4,3)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
1,
3,
4,
2,
5
],
[
5,
4,
3,
1,
2
],
[
2,
1,
5,
4,
3
],
[
3,
2,
1,
5,
4
],
[
4,
5,
2,
3,
1
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
2,
4,
5,
1,
3
],
[
1,
3,
4,
2,
5
],
[
3,
2,
1,
5,
4
],
[
5,
1,
3,
4,
2
],
[
4,
5,
2,
3,
1
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[4, 0], [3, 4]], \"constraints\": [[[4, 3], [4, 4], \"<\"], [[3, 3], [4, 3], \">\"], [[2, 2], [2, 3], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\nX X X X X\nX X X X 2\n4 X X X X\n\nInequality constraints:\n(5,4) < (5,5)\n(4,4) > (5,4)\n(3,3) > (3,4)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
2,
4,
5,
1,
3
],
[
1,
3,
4,
2,
5
],
[
3,
2,
1,
5,
4
],
[
5,
1,
3,
4,
2
],
[
4,
5,
2,
3,
1
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicat... | futoshiki | {
"answer": [
[
4,
2,
5,
3,
1
],
[
2,
5,
1,
4,
3
],
[
1,
3,
4,
2,
5
],
[
3,
1,
2,
5,
4
],
[
5,
4,
3,
1,
2
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[2, 0], [4, 1]], \"constraints\": [[[1, 3], [2, 3], \">\"], [[1, 4], [2, 4], \">\"], [[3, 1], [3, 2], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\n1 X X X X\nX X X X X\nX 4 X X X\n\nInequality constraints:\n(2,4) > (3,4)\n(2,5) > (3,5)\n(4,2) > (4,3)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. First analyze the inequality constraints to determine possible number ranges for certain cells.\n2. Combine pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
4,
2,
5,
3,
1
],
[
2,
5,
1,
4,
3
],
[
1,
3,
4,
2,
5
],
[
3,
1,
2,
5,
4
],
[
5,
4,
3,
1,
2
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
1,
4,
2,
5,
3
],
[
2,
3,
5,
4,
1
],
[
3,
2,
4,
1,
5
],
[
5,
1,
3,
2,
4
],
[
4,
5,
1,
3,
2
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[0, 2], [1, 4]], \"constraints\": [[[3, 3], [3, 4], \">\"], [[3, 4], [4, 4], \">\"], [[1, 4], [2, 4], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X 2 X X\nX X X X 1\nX X X X X\nX X X X X\nX X X X X\n\nInequality constraints:\n(4,4) > (4,5)\n(4,5) > (5,5)\n(2,5) < (3,5)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
1,
4,
2,
5,
3
],
[
2,
3,
5,
4,
1
],
[
3,
2,
4,
1,
5
],
[
5,
1,
3,
2,
4
],
[
4,
5,
1,
3,
2
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
2,
5,
1,
4,
3
],
[
3,
1,
5,
2,
4
],
[
1,
4,
3,
5,
2
],
[
4,
3,
2,
1,
5
],
[
5,
2,
4,
3,
1
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[1, 2], [2, 3]], \"constraints\": [[[0, 3], [1, 3], \">\"], [[3, 1], [3, 2], \">\"], [[2, 2], [2, 3], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X 5 X X\nX X X 5 X\nX X X X X\nX X X X X\n\nInequality constraints:\n(1,4) > (2,4)\n(4,2) > (4,3)\n(3,3) < (3,4)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
2,
5,
1,
4,
3
],
[
3,
1,
5,
2,
4
],
[
1,
4,
3,
5,
2
],
[
4,
3,
2,
1,
5
],
[
5,
2,
4,
3,
1
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicat... | futoshiki | {
"answer": [
[
2,
3,
1,
4,
5
],
[
5,
2,
4,
3,
1
],
[
1,
5,
3,
2,
4
],
[
4,
1,
2,
5,
3
],
[
3,
4,
5,
1,
2
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[2, 1], [3, 1]], \"constraints\": [[[0, 3], [0, 4], \">\"], [[1, 1], [1, 2], \">\"], [[0, 0], [0, 1], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\nX 5 X X X\nX 1 X X X\nX X X X X\n\nInequality constraints:\n(1,4) > (1,5)\n(2,2) > (2,3)\n(1,1) < (1,2)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. First analyze the inequality constraints to determine possible number ranges for certain cells.\n2. Combine pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
2,
3,
1,
4,
5
],
[
5,
2,
4,
3,
1
],
[
1,
5,
3,
2,
4
],
[
4,
1,
2,
5,
3
],
[
3,
4,
5,
1,
2
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
2,
4,
5,
3,
1
],
[
5,
3,
1,
2,
4
],
[
4,
5,
2,
1,
3
],
[
1,
2,
3,
4,
5
],
[
3,
1,
4,
5,
2
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[2, 0], [1, 0]], \"constraints\": [[[0, 1], [0, 2], \">\"], [[2, 2], [2, 3], \"<\"], [[2, 1], [3, 1], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\n5 X X X X\n4 X X X X\nX X X X X\nX X X X X\n\nInequality constraints:\n(1,2) > (1,3)\n(3,3) < (3,4)\n(3,2) > (4,2)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
2,
4,
5,
3,
1
],
[
5,
3,
1,
2,
4
],
[
4,
5,
2,
1,
3
],
[
1,
2,
3,
4,
5
],
[
3,
1,
4,
5,
2
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
1,
5,
4,
2,
3
],
[
5,
4,
1,
3,
2
],
[
2,
3,
5,
4,
1
],
[
3,
1,
2,
5,
4
],
[
4,
2,
3,
1,
5
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[1, 2], [3, 3]], \"constraints\": [[[0, 2], [1, 2], \">\"], [[1, 3], [2, 3], \"<\"], [[0, 0], [0, 1], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X 1 X X\nX X X X X\nX X X 5 X\nX X X X X\n\nInequality constraints:\n(1,3) > (2,3)\n(2,4) < (3,4)\n(1,1) > (1,2)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
1,
5,
4,
2,
3
],
[
5,
4,
1,
3,
2
],
[
2,
3,
5,
4,
1
],
[
3,
1,
2,
5,
4
],
[
4,
2,
3,
1,
5
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
3,
2,
1,
5,
4
],
[
4,
3,
2,
1,
5
],
[
5,
1,
3,
4,
2
],
[
2,
4,
5,
3,
1
],
[
1,
5,
4,
2,
3
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[4, 3], [1, 2]], \"constraints\": [[[0, 0], [1, 0], \"<\"], [[2, 3], [3, 3], \"<\"], [[2, 2], [3, 2], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X 2 X X\nX X X X X\nX X X X X\nX X X 2 X\n\nInequality constraints:\n(1,1) < (2,1)\n(3,4) < (4,4)\n(3,3) > (4,3)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
3,
2,
1,
5,
4
],
[
4,
3,
2,
1,
5
],
[
5,
1,
3,
4,
2
],
[
2,
4,
5,
3,
1
],
[
1,
5,
4,
2,
3
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
3,
5,
4,
1,
2
],
[
2,
4,
5,
3,
1
],
[
1,
3,
2,
4,
5
],
[
5,
1,
3,
2,
4
],
[
4,
2,
1,
5,
3
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[4, 4], [2, 2]], \"constraints\": [[[2, 3], [2, 4], \">\"], [[0, 1], [0, 2], \">\"], [[0, 1], [1, 1], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\nX X 2 X X\nX X X X X\nX X X X 3\n\nInequality constraints:\n(3,4) > (3,5)\n(1,2) > (1,3)\n(1,2) > (2,2)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
3,
5,
4,
1,
2
],
[
2,
4,
5,
3,
1
],
[
1,
3,
2,
4,
5
],
[
5,
1,
3,
2,
4
],
[
4,
2,
1,
5,
3
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicat... | futoshiki | {
"answer": [
[
5,
2,
4,
3,
1
],
[
2,
3,
5,
1,
4
],
[
1,
5,
3,
4,
2
],
[
4,
1,
2,
5,
3
],
[
3,
4,
1,
2,
5
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[4, 1], [2, 3]], \"constraints\": [[[2, 0], [3, 0], \"<\"], [[4, 1], [4, 2], \">\"], [[1, 1], [2, 1], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\nX X X 4 X\nX X X X X\nX 4 X X X\n\nInequality constraints:\n(3,1) < (4,1)\n(5,2) > (5,3)\n(2,2) > (3,2)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. First analyze the inequality constraints to determine possible number ranges for certain cells.\n2. Combine pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
5,
2,
4,
3,
1
],
[
2,
3,
5,
1,
4
],
[
1,
5,
3,
4,
2
],
[
4,
1,
2,
5,
3
],
[
3,
4,
1,
2,
5
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
3,
4,
1,
2,
5
],
[
4,
1,
5,
3,
2
],
[
5,
2,
3,
4,
1
],
[
2,
5,
4,
1,
3
],
[
1,
3,
2,
5,
4
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[2, 4], [2, 0]], \"constraints\": [[[2, 1], [2, 2], \">\"], [[3, 0], [4, 0], \">\"], [[2, 0], [2, 1], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\n5 X X X 1\nX X X X X\nX X X X X\n\nInequality constraints:\n(3,2) > (3,3)\n(4,1) > (5,1)\n(3,1) < (3,2)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
3,
4,
1,
2,
5
],
[
4,
1,
5,
3,
2
],
[
5,
2,
3,
4,
1
],
[
2,
5,
4,
1,
3
],
[
1,
3,
2,
5,
4
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicat... | futoshiki | {
"answer": [
[
5,
4,
1,
2,
3
],
[
3,
2,
4,
5,
1
],
[
4,
3,
2,
1,
5
],
[
1,
5,
3,
4,
2
],
[
2,
1,
5,
3,
4
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[0, 2], [4, 0]], \"constraints\": [[[2, 0], [3, 0], \">\"], [[2, 2], [2, 3], \">\"], [[0, 4], [1, 4], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X 1 X X\nX X X X X\nX X X X X\nX X X X X\n2 X X X X\n\nInequality constraints:\n(3,1) > (4,1)\n(3,3) > (3,4)\n(1,5) < (2,5)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. First analyze the inequality constraints to determine possible number ranges for certain cells.\n2. Combine pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
5,
4,
1,
2,
3
],
[
3,
2,
4,
5,
1
],
[
4,
3,
2,
1,
5
],
[
1,
5,
3,
4,
2
],
[
2,
1,
5,
3,
4
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
3,
2,
4,
5,
1
],
[
1,
3,
5,
2,
4
],
[
4,
5,
1,
3,
2
],
[
2,
1,
3,
4,
5
],
[
5,
4,
2,
1,
3
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[3, 3], [1, 4]], \"constraints\": [[[4, 0], [4, 1], \"<\"], [[1, 1], [1, 2], \">\"], [[3, 3], [4, 3], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X 4\nX X X X X\nX X X 4 X\nX X X X X\n\nInequality constraints:\n(5,1) < (5,2)\n(2,2) > (2,3)\n(4,4) < (5,4)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
3,
2,
4,
5,
1
],
[
1,
3,
5,
2,
4
],
[
4,
5,
1,
3,
2
],
[
2,
1,
3,
4,
5
],
[
5,
4,
2,
1,
3
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
3,
5,
1,
4,
2
],
[
2,
1,
4,
3,
5
],
[
5,
4,
2,
1,
3
],
[
1,
3,
5,
2,
4
],
[
4,
2,
3,
5,
1
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[4, 2], [4, 0]], \"constraints\": [[[4, 3], [4, 4], \">\"], [[1, 3], [1, 4], \"<\"], [[1, 2], [1, 3], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\nX X X X X\nX X X X X\n4 X 3 X X\n\nInequality constraints:\n(5,4) > (5,5)\n(2,4) < (2,5)\n(2,3) < (2,4)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
3,
5,
1,
4,
2
],
[
2,
1,
4,
3,
5
],
[
5,
4,
2,
1,
3
],
[
1,
3,
5,
2,
4
],
[
4,
2,
3,
5,
1
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicat... | futoshiki | {
"answer": [
[
1,
5,
2,
4,
3
],
[
2,
4,
5,
3,
1
],
[
3,
1,
4,
5,
2
],
[
4,
3,
1,
2,
5
],
[
5,
2,
3,
1,
4
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[3, 3], [3, 2]], \"constraints\": [[[2, 0], [2, 1], \">\"], [[3, 3], [4, 3], \">\"], [[4, 3], [4, 4], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\nX X X X X\nX X 1 2 X\nX X X X X\n\nInequality constraints:\n(3,1) > (3,2)\n(4,4) > (5,4)\n(5,4) < (5,5)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. First analyze the inequality constraints to determine possible number ranges for certain cells.\n2. Combine pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
1,
5,
2,
4,
3
],
[
2,
4,
5,
3,
1
],
[
3,
1,
4,
5,
2
],
[
4,
3,
1,
2,
5
],
[
5,
2,
3,
1,
4
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
3,
1,
4,
2,
5
],
[
2,
5,
3,
1,
4
],
[
4,
3,
2,
5,
1
],
[
5,
2,
1,
4,
3
],
[
1,
4,
5,
3,
2
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[2, 2], [4, 2]], \"constraints\": [[[0, 1], [1, 1], \">\"], [[2, 3], [2, 4], \">\"], [[2, 1], [2, 2], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\nX X 2 X X\nX X X X X\nX X 5 X X\n\nInequality constraints:\n(1,2) > (2,2)\n(3,4) > (3,5)\n(3,2) > (3,3)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
3,
1,
4,
2,
5
],
[
2,
5,
3,
1,
4
],
[
4,
3,
2,
5,
1
],
[
5,
2,
1,
4,
3
],
[
1,
4,
5,
3,
2
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
3,
5,
4,
1,
2
],
[
2,
4,
1,
3,
5
],
[
1,
2,
5,
4,
3
],
[
5,
1,
3,
2,
4
],
[
4,
3,
2,
5,
1
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[0, 0], [3, 1]], \"constraints\": [[[4, 1], [4, 2], \"<\"], [[2, 1], [3, 1], \"<\"], [[3, 3], [3, 4], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\n3 X X X X\nX X X X X\nX X X X X\nX 1 X X X\nX X X X X\n\nInequality constraints:\n(5,2) < (5,3)\n(3,2) < (4,2)\n(4,4) < (4,5)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
3,
5,
4,
1,
2
],
[
2,
4,
1,
3,
5
],
[
1,
2,
5,
4,
3
],
[
5,
1,
3,
2,
4
],
[
4,
3,
2,
5,
1
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicat... | futoshiki | {
"answer": [
[
3,
4,
2,
1,
5
],
[
5,
2,
1,
3,
4
],
[
1,
5,
3,
4,
2
],
[
2,
3,
4,
5,
1
],
[
4,
1,
5,
2,
3
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[4, 2], [2, 1]], \"constraints\": [[[4, 2], [4, 3], \"<\"], [[4, 3], [4, 4], \">\"], [[3, 0], [4, 0], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\nX 5 X X X\nX X X X X\nX X 5 X X\n\nInequality constraints:\n(5,3) < (5,4)\n(5,4) > (5,5)\n(4,1) < (5,1)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. First analyze the inequality constraints to determine possible number ranges for certain cells.\n2. Combine pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
3,
4,
2,
1,
5
],
[
5,
2,
1,
3,
4
],
[
1,
5,
3,
4,
2
],
[
2,
3,
4,
5,
1
],
[
4,
1,
5,
2,
3
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
1,
5,
2,
3,
4
],
[
2,
4,
1,
5,
3
],
[
4,
2,
3,
1,
5
],
[
5,
3,
4,
2,
1
],
[
3,
1,
5,
4,
2
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[3, 0], [4, 3]], \"constraints\": [[[3, 1], [3, 2], \"<\"], [[1, 0], [2, 0], \">\"], [[4, 3], [4, 4], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\nX X X X X\n5 X X X X\nX X X 4 X\n\nInequality constraints:\n(4,2) < (4,3)\n(2,1) > (3,1)\n(5,4) < (5,5)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
1,
5,
2,
3,
4
],
[
2,
4,
1,
5,
3
],
[
4,
2,
3,
1,
5
],
[
5,
3,
4,
2,
1
],
[
3,
1,
5,
4,
2
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
3,
2,
4,
1,
5
],
[
2,
5,
3,
4,
1
],
[
1,
4,
5,
3,
2
],
[
5,
3,
1,
2,
4
],
[
4,
1,
2,
5,
3
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[3, 3], [3, 0]], \"constraints\": [[[4, 2], [4, 3], \">\"], [[1, 1], [1, 2], \">\"], [[0, 1], [1, 1], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\nX X X X X\n5 X X 2 X\nX X X X X\n\nInequality constraints:\n(5,3) > (5,4)\n(2,2) > (2,3)\n(1,2) < (2,2)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
3,
2,
4,
1,
5
],
[
2,
5,
3,
4,
1
],
[
1,
4,
5,
3,
2
],
[
5,
3,
1,
2,
4
],
[
4,
1,
2,
5,
3
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicat... | futoshiki | {
"answer": [
[
2,
5,
3,
4,
1
],
[
3,
1,
2,
5,
4
],
[
5,
2,
4,
1,
3
],
[
1,
4,
5,
3,
2
],
[
4,
3,
1,
2,
5
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[3, 1], [3, 0]], \"constraints\": [[[1, 0], [1, 1], \">\"], [[4, 0], [4, 1], \"<\"], [[3, 1], [3, 2], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\nX X X X X\n1 4 X X X\nX X X X X\n\nInequality constraints:\n(2,1) > (2,2)\n(5,1) < (5,2)\n(4,2) > (4,3)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. First analyze the inequality constraints to determine possible number ranges for certain cells.\n2. Combine pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
2,
5,
3,
4,
1
],
[
3,
1,
2,
5,
4
],
[
5,
2,
4,
1,
3
],
[
1,
4,
5,
3,
2
],
[
4,
3,
1,
2,
5
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
1,
3,
4,
5,
2
],
[
4,
1,
3,
2,
5
],
[
5,
4,
2,
1,
3
],
[
2,
5,
1,
3,
4
],
[
3,
2,
5,
4,
1
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[0, 4], [1, 0]], \"constraints\": [[[2, 2], [3, 2], \"<\"], [[0, 4], [1, 4], \">\"], [[3, 3], [3, 4], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X 2\n4 X X X X\nX X X X X\nX X X X X\nX X X X X\n\nInequality constraints:\n(3,3) < (4,3)\n(1,5) > (2,5)\n(4,4) < (4,5)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
1,
3,
4,
5,
2
],
[
4,
1,
3,
2,
5
],
[
5,
4,
2,
1,
3
],
[
2,
5,
1,
3,
4
],
[
3,
2,
5,
4,
1
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicat... | futoshiki | {
"answer": [
[
2,
3,
4,
1,
5
],
[
1,
2,
5,
4,
3
],
[
4,
5,
3,
2,
1
],
[
3,
1,
2,
5,
4
],
[
5,
4,
1,
3,
2
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[0, 0], [4, 2]], \"constraints\": [[[1, 3], [2, 3], \"<\"], [[2, 1], [2, 2], \">\"], [[3, 2], [3, 3], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\n2 X X X X\nX X X X X\nX X X X X\nX X X X X\nX X 1 X X\n\nInequality constraints:\n(2,4) < (3,4)\n(3,2) > (3,3)\n(4,3) > (4,4)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. First analyze the inequality constraints to determine possible number ranges for certain cells.\n2. Combine pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
2,
3,
4,
1,
5
],
[
1,
2,
5,
4,
3
],
[
4,
5,
3,
2,
1
],
[
3,
1,
2,
5,
4
],
[
5,
4,
1,
3,
2
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicat... | futoshiki | {
"answer": [
[
2,
1,
4,
3,
5
],
[
1,
5,
2,
4,
3
],
[
4,
3,
5,
1,
2
],
[
3,
2,
1,
5,
4
],
[
5,
4,
3,
2,
1
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[4, 3], [1, 4]], \"constraints\": [[[3, 1], [3, 2], \">\"], [[1, 2], [2, 2], \">\"], [[4, 1], [4, 2], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X 3\nX X X X X\nX X X X X\nX X X 2 X\n\nInequality constraints:\n(4,2) > (4,3)\n(2,3) > (3,3)\n(5,2) < (5,3)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. First analyze the inequality constraints to determine possible number ranges for certain cells.\n2. Combine pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
2,
1,
4,
3,
5
],
[
1,
5,
2,
4,
3
],
[
4,
3,
5,
1,
2
],
[
3,
2,
1,
5,
4
],
[
5,
4,
3,
2,
1
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicat... | futoshiki | {
"answer": [
[
1,
2,
5,
4,
3
],
[
5,
4,
2,
3,
1
],
[
4,
3,
1,
2,
5
],
[
3,
1,
4,
5,
2
],
[
2,
5,
3,
1,
4
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 3, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[4, 2], [4, 1]], \"constraints\": [[[3, 3], [3, 4], \"<\"], [[2, 2], [2, 3], \"<\"], [[2, 2], [3, 2], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\nX X X X X\nX X X X X\nX 5 3 X X\n\nInequality constraints:\n(4,4) < (4,5)\n(3,3) < (3,4)\n(3,3) < (4,3)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. First analyze the inequality constraints to determine possible number ranges for certain cells.\n2. Combine pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
1,
2,
5,
4,
3
],
[
5,
4,
2,
3,
1
],
[
4,
3,
1,
2,
5
],
[
3,
1,
4,
5,
2
],
[
2,
5,
3,
1,
4
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
3,
4,
5,
1,
2
],
[
2,
3,
1,
5,
4
],
[
1,
2,
3,
4,
5
],
[
4,
5,
2,
3,
1
],
[
5,
1,
4,
2,
3
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 4, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[3, 2], [4, 2]], \"constraints\": [[[3, 3], [4, 3], \"<\"], [[0, 0], [1, 0], \">\"], [[0, 3], [0, 4], \"<\"], [[2, 1], [2, 2], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\nX X X X X\nX X 2 X X\nX X 4 X X\n\nInequality constraints:\n(4,4) < (5,4)\n(1,1) > (2,1)\n(1,4) < (1,5)\n(3,2) < (3,3)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
3,
4,
5,
1,
2
],
[
2,
3,
1,
5,
4
],
[
1,
2,
3,
4,
5
],
[
4,
5,
2,
3,
1
],
[
5,
1,
4,
2,
3
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicat... | futoshiki | {
"answer": [
[
1,
4,
2,
3,
5
],
[
5,
3,
1,
4,
2
],
[
2,
5,
4,
1,
3
],
[
4,
2,
3,
5,
1
],
[
3,
1,
5,
2,
4
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 4, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[4, 3], [3, 3]], \"constraints\": [[[3, 0], [3, 1], \"<\"], [[1, 3], [2, 3], \">\"], [[0, 3], [1, 3], \"<\"], [[1, 0], [2, 0], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\nX X X X X\nX X X 5 X\nX X X 2 X\n\nInequality constraints:\n(4,1) < (4,2)\n(2,4) > (3,4)\n(1,4) < (2,4)\n(2,1) > (3,1)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. First analyze the inequality constraints to determine possible number ranges for certain cells.\n2. Combine pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
1,
4,
2,
3,
5
],
[
5,
3,
1,
4,
2
],
[
2,
5,
4,
1,
3
],
[
4,
2,
3,
5,
1
],
[
3,
1,
5,
2,
4
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
4,
3,
1,
2,
5
],
[
1,
2,
5,
3,
4
],
[
3,
5,
2,
4,
1
],
[
2,
1,
4,
5,
3
],
[
5,
4,
3,
1,
2
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 4, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[4, 2], [3, 3]], \"constraints\": [[[2, 1], [3, 1], \">\"], [[2, 3], [3, 3], \">\"], [[0, 4], [1, 4], \">\"], [[1, 0], [1, 1], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\nX X X X X\nX X X 5 X\nX X 3 X X\n\nInequality constraints:\n(3,2) > (4,2)\n(3,4) > (4,4)\n(1,5) > (2,5)\n(2,1) > (2,2)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
4,
3,
1,
2,
5
],
[
1,
2,
5,
3,
4
],
[
3,
5,
2,
4,
1
],
[
2,
1,
4,
5,
3
],
[
5,
4,
3,
1,
2
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
5,
3,
4,
2,
1
],
[
1,
2,
3,
5,
4
],
[
3,
4,
2,
1,
5
],
[
2,
5,
1,
4,
3
],
[
4,
1,
5,
3,
2
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 4, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[3, 4], [4, 0]], \"constraints\": [[[1, 4], [2, 4], \">\"], [[0, 0], [0, 1], \">\"], [[1, 0], [1, 1], \"<\"], [[1, 0], [2, 0], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\nX X X X X\nX X X X 3\n4 X X X X\n\nInequality constraints:\n(2,5) > (3,5)\n(1,1) > (1,2)\n(2,1) < (2,2)\n(2,1) > (3,1)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
5,
3,
4,
2,
1
],
[
1,
2,
3,
5,
4
],
[
3,
4,
2,
1,
5
],
[
2,
5,
1,
4,
3
],
[
4,
1,
5,
3,
2
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicat... | futoshiki | {
"answer": [
[
1,
2,
5,
4,
3
],
[
4,
3,
1,
2,
5
],
[
5,
1,
4,
3,
2
],
[
3,
4,
2,
5,
1
],
[
2,
5,
3,
1,
4
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 4, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[2, 0], [2, 4]], \"constraints\": [[[2, 0], [3, 0], \">\"], [[2, 4], [3, 4], \"<\"], [[1, 0], [2, 0], \">\"], [[0, 3], [1, 3], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\n5 X X X 2\nX X X X X\nX X X X X\n\nInequality constraints:\n(3,1) > (4,1)\n(3,5) < (4,5)\n(2,1) > (3,1)\n(1,4) > (2,4)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. First analyze the inequality constraints to determine possible number ranges for certain cells.\n2. Combine pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
1,
2,
5,
4,
3
],
[
4,
3,
1,
2,
5
],
[
5,
1,
4,
3,
2
],
[
3,
4,
2,
5,
1
],
[
2,
5,
3,
1,
4
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
3,
5,
2,
4,
1
],
[
1,
4,
3,
5,
2
],
[
2,
1,
4,
3,
5
],
[
4,
2,
5,
1,
3
],
[
5,
3,
1,
2,
4
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 4, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[4, 2], [3, 1]], \"constraints\": [[[1, 3], [1, 4], \"<\"], [[2, 1], [2, 2], \"<\"], [[4, 1], [4, 2], \">\"], [[2, 4], [3, 4], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\nX X X X X\nX 2 X X X\nX X 1 X X\n\nInequality constraints:\n(2,4) < (2,5)\n(3,2) < (3,3)\n(5,2) > (5,3)\n(3,5) > (4,5)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
3,
5,
2,
4,
1
],
[
1,
4,
3,
5,
2
],
[
2,
1,
4,
3,
5
],
[
4,
2,
5,
1,
3
],
[
5,
3,
1,
2,
4
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
5,
3,
2,
1,
4
],
[
2,
4,
5,
3,
1
],
[
1,
2,
3,
4,
5
],
[
3,
1,
4,
5,
2
],
[
4,
5,
1,
2,
3
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 4, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[2, 4], [1, 0]], \"constraints\": [[[2, 2], [2, 3], \"<\"], [[0, 2], [1, 2], \">\"], [[3, 3], [3, 4], \"<\"], [[0, 3], [1, 3], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\n2 X X X X\nX X X X 5\nX X X X X\nX X X X X\n\nInequality constraints:\n(3,3) < (3,4)\n(1,3) > (2,3)\n(4,4) < (4,5)\n(1,4) > (2,4)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
5,
3,
2,
1,
4
],
[
2,
4,
5,
3,
1
],
[
1,
2,
3,
4,
5
],
[
3,
1,
4,
5,
2
],
[
4,
5,
1,
2,
3
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicat... | futoshiki | {
"answer": [
[
4,
1,
3,
2,
5
],
[
3,
5,
2,
4,
1
],
[
5,
3,
4,
1,
2
],
[
1,
2,
5,
3,
4
],
[
2,
4,
1,
5,
3
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 4, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[0, 1], [3, 0]], \"constraints\": [[[0, 4], [1, 4], \">\"], [[0, 1], [0, 2], \">\"], [[0, 0], [0, 1], \"<\"], [[0, 2], [0, 3], \"<\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX 1 X X X\nX X X X X\nX X X X X\n1 X X X X\nX X X X X\n\nInequality constraints:\n(1,5) > (2,5)\n(1,2) > (1,3)\n(1,1) < (1,2)\n(1,3) < (1,4)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. First analyze the inequality constraints to determine possible number ranges for certain cells.\n2. Combine pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
4,
1,
3,
2,
5
],
[
3,
5,
2,
4,
1
],
[
5,
3,
4,
1,
2
],
[
1,
2,
5,
3,
4
],
[
2,
4,
1,
5,
3
]
]
} |
[
{
"content": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | futoshiki | {
"answer": [
[
3,
5,
2,
4,
1
],
[
4,
1,
3,
2,
5
],
[
5,
4,
1,
3,
2
],
[
2,
3,
5,
1,
4
],
[
1,
2,
4,
5,
3
]
],
"metadata": "{\"grid_size\": 5, \"num_inequality_signs\": 4, \"num_prefilled_coords\": 2, \"prefilled_coords\": [[2, 1], [4, 4]], \"constraints\": [[[1, 4], [2, 4], \"<\"], [[1, 3], [1, 4], \">\"], [[3, 0], [3, 1], \">\"], [[0, 1], [1, 1], \">\"]]}",
"question": "This is a 5x5 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs indicate the numerical relationship between two neighboring grids. For example, if a grid has a \">\" sign above it, then the number of that grid must be greater than the number of the grid above it.\n3. Some grids will give pre-filled numbers as hints.\n4. The questions are given as matrices and are accompanied by inequality constraints below in the form (row i, column j) > (row x, column y).\n\nCurrent puzzle:\nX X X X X\nX X X X X\nX 4 X X X\nX X X X X\nX X X X 3\n\nInequality constraints:\n(2,5) < (3,5)\n(2,4) > (2,5)\n(4,1) > (4,2)\n(1,2) > (2,2)\n\nPlease provide each element in order from left to right, and from top to bottom, with each element separated by a space and each row separated by a comma. Ensure that your final answer is wrapped in double square brackets.\n\nFor example, if the answer is:\nA B C\nD E F\nG H I\n\nplease output [[A B C,D E F,G H I]].\n\nSolving tips:\n1. Analyze the inequality constraints to find possible number ranges.\n2. Use pre-filled numbers and inequality relationships to gradually deduce other positions.\n3. Remember that numbers cannot repeat in each row and column."
} | {
"ground_truth": [
[
3,
5,
2,
4,
1
],
[
4,
1,
3,
2,
5
],
[
5,
4,
1,
3,
2
],
[
2,
3,
5,
1,
4
],
[
1,
2,
4,
5,
3
]
]
} |
End of preview. Expand
in Data Studio
game_data
Multi-task reasoning dataset. Each task type is a separate config with train/test/dev splits.
Usage
from datasets import load_dataset
# Load a specific task and split
ds = load_dataset("CL-From-Nothing/game_data", "futoshiki", split="train")
ds = load_dataset("CL-From-Nothing/game_data", "minesweeper", split="test")
Available Tasks
futoshiki, kukurasu, minesweeper, sudoku
Available Splits
train, test, dev
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