question stringlengths 960 992 | answer stringlengths 1 9 | difficulty int64 1 3 | metadata null | gpt_response stringclasses 1 value | prompt listlengths 2 2 |
|---|---|---|---|---|---|
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[2], [1, 1], [1]]
Columns description: [[1], [1], [3]] | 011101001 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[2], [2], [1]]
Columns description: [[2], [3], []] | 110110010 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[2], [3], [1, 1]]
Columns description: [[3], [2], [2]] | 110111101 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 2x2 Rows description: [[], [1]]
Columns description: [[1], []] | 0010 | 2 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 2x2 Rows description: [[2], [1]]
Columns description: [[2], [1]] | 1110 | 2 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[2], [], [2]]
Columns description: [[1, 1], [1, 1], []] | 110000110 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1, 1], [2], []]
Columns description: [[2], [1], [1]] | 101110000 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1], [1], [1, 1]]
Columns description: [[3], [], [1]] | 100100101 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1, 1], [2], []]
Columns description: [[2], [1], [1]] | 101110000 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[2], [1], [1]]
Columns description: [[2], [1, 1], []] | 110100010 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[3], [1], [2]]
Columns description: [[1], [1, 1], [3]] | 111001011 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[2], [1], [1, 1]]
Columns description: [[1, 1], [1], [2]] | 110001101 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1], [1, 1], [2]]
Columns description: [[1], [1, 1], [2]] | 010101011 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[2], [3], [2]]
Columns description: [[1], [3], [3]] | 011111011 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1, 1], [], [1]]
Columns description: [[1], [], [1, 1]] | 101000001 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[], [2], [3]]
Columns description: [[1], [2], [2]] | 000011111 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 2x2 Rows description: [[], [1]]
Columns description: [[], [1]] | 0001 | 2 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[2], [2], [2]]
Columns description: [[1, 1], [3], [1]] | 110011110 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[], [3], [3]]
Columns description: [[2], [2], [2]] | 000111111 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1], [1, 1], []]
Columns description: [[1], [1], [1]] | 010101000 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[], [], [1]]
Columns description: [[], [], [1]] | 000000001 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 2x2 Rows description: [[1], []]
Columns description: [[1], []] | 1000 | 2 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[3], [1], [2]]
Columns description: [[3], [1, 1], [1]] | 111100110 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[], [3], [3]]
Columns description: [[2], [2], [2]] | 000111111 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1], [1], [1, 1]]
Columns description: [[1], [1], [2]] | 010001101 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 2x2 Rows description: [[2], [1]]
Columns description: [[1], [2]] | 1101 | 2 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[3], [1], [2]]
Columns description: [[2], [1, 1], [1, 1]] | 111100011 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1], [], [3]]
Columns description: [[1, 1], [1], [1]] | 100000111 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 2x2 Rows description: [[], [2]]
Columns description: [[1], [1]] | 0011 | 2 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1], [1], [1]]
Columns description: [[], [1, 1], [1]] | 010001010 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1], [2], [2]]
Columns description: [[1, 1], [2], [1]] | 100011110 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[3], [1], [1]]
Columns description: [[1], [2], [1, 1]] | 111010001 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1], [], [2]]
Columns description: [[1], [1, 1], []] | 010000110 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1], [2], [3]]
Columns description: [[1, 1], [2], [2]] | 100011111 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1], [1, 1], [2]]
Columns description: [[3], [1], [1]] | 100101110 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[2], [1], [1, 1]]
Columns description: [[3], [1], [1]] | 110100101 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 2x2 Rows description: [[], [1]]
Columns description: [[], [1]] | 0001 | 2 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[2], [], [1]]
Columns description: [[1, 1], [1], []] | 110000100 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1], [2], []]
Columns description: [[1], [2], []] | 010110000 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[3], [1, 1], [1, 1]]
Columns description: [[3], [1], [3]] | 111101101 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[3], [2], [3]]
Columns description: [[3], [3], [1, 1]] | 111110111 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1], [3], [2]]
Columns description: [[3], [2], [1]] | 100111110 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[], [1], [1]]
Columns description: [[], [2], []] | 000010010 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[2], [1], [1, 1]]
Columns description: [[3], [1], [1]] | 110100101 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[], [3], [3]]
Columns description: [[2], [2], [2]] | 000111111 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1], [2], [1, 1]]
Columns description: [[1], [2], [2]] | 010011101 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1, 1], [2], [1]]
Columns description: [[1, 1], [1], [2]] | 101011100 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[2], [1], [1, 1]]
Columns description: [[1, 1], [1], [2]] | 110001101 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[2], [1], [1]]
Columns description: [[], [1, 1], [2]] | 011001010 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1], [1, 1], [3]]
Columns description: [[2], [1], [3]] | 001101111 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[2], [2], [1]]
Columns description: [[], [3], [2]] | 011011010 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[3], [], [1]]
Columns description: [[1], [1], [1, 1]] | 111000001 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[2], [1], [1, 1]]
Columns description: [[3], [1], [1]] | 110100101 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[2], [1], [1, 1]]
Columns description: [[1], [1], [3]] | 011001101 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1, 1], [1], [1]]
Columns description: [[1, 1], [], [2]] | 101001100 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1], [], []]
Columns description: [[], [], [1]] | 001000000 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[2], [2], [1]]
Columns description: [[], [3], [2]] | 011011010 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1, 1], [2], [1]]
Columns description: [[1], [1], [3]] | 101011001 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[], [1], [2]]
Columns description: [[1], [2], []] | 000010110 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[3], [1, 1], []]
Columns description: [[2], [1], [2]] | 111101000 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1, 1], [], [2]]
Columns description: [[1, 1], [1], [1]] | 101000110 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1], [2], []]
Columns description: [[], [1], [2]] | 001011000 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 2x2 Rows description: [[1], [1]]
Columns description: [[], [2]] | 0101 | 2 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1], [1], []]
Columns description: [[], [], [2]] | 001001000 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[2], [1], [3]]
Columns description: [[1, 1], [1, 1], [2]] | 110001111 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1], [1], [3]]
Columns description: [[1], [3], [1]] | 010010111 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1], [2], [1]]
Columns description: [[], [3], [1]] | 010011010 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[3], [], [3]]
Columns description: [[1, 1], [1, 1], [1, 1]] | 111000111 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1], [1], [2]]
Columns description: [[], [1], [3]] | 001001011 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[2], [1], [1]]
Columns description: [[], [3], [1]] | 011010010 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[2], [1], [1, 1]]
Columns description: [[1, 1], [2], [1]] | 110010101 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1], [], [1]]
Columns description: [[], [], [1, 1]] | 001000001 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1, 1], [1, 1], [1, 1]]
Columns description: [[3], [], [3]] | 101101101 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[], [1, 1], [2]]
Columns description: [[1], [1], [2]] | 000101011 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1, 1], [2], [2]]
Columns description: [[3], [2], [1]] | 101110110 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[], [1, 1], [1, 1]]
Columns description: [[2], [], [2]] | 000101101 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1], [3], []]
Columns description: [[1], [2], [1]] | 010111000 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1], [1, 1], [1, 1]]
Columns description: [[3], [], [2]] | 100101101 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1, 1], [3], [1]]
Columns description: [[2], [2], [2]] | 101111010 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1], [1, 1], [1, 1]]
Columns description: [[3], [], [2]] | 100101101 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 2x2 Rows description: [[2], [1]]
Columns description: [[2], [1]] | 1110 | 2 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[2], [1], [1, 1]]
Columns description: [[1, 1], [1], [2]] | 110001101 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[1, 1], [3], [1]]
Columns description: [[3], [1], [2]] | 101111100 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[2], [1, 1], [3]]
Columns description: [[2], [1, 1], [3]] | 011101111 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[3], [2], [1]]
Columns description: [[2], [2], [1, 1]] | 111110001 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... | |
You will be given field size and "descriptions" of rows and columns.
From them you have to reconstruct original field with 0/1
The description of row/column is a sequence of numbers.
Each number corresponds to a size of group of sequential 1s in this row/column.
The order of numbers exactly matches the order of groups from left to right for rows, and from top to bottom for columns.
Groups must be separated with 0s.
Examples for field 5x5:
A row with the clue [2, 1] must have two groups, one with size 2, other with size 1
Valid: 11010, 11001, 01101
Invalid: all others, including 11100(too close), 10110(wrong order)
Empty description like [] corresponds to 00000
Final field must correspond to all descriptions at the same time, do not forget to check it.
Output Format:
Output your final solution as a single block of 0s and 1s, row by row, with no spaces or additional symbols.
Field size: 3x3 Rows description: [[3], [3], [2]]
Columns description: [[2], [3], [3]] | 111111011 | 3 | null | [
{
"content": "\nRespond in the following format:\n<reasoning>\n...\n</reasoning>\n<answer>\n...\n</answer>\n",
"role": "system"
},
{
"content": "\nYou will be given field size and \"descriptions\" of rows and columns.\nFrom them you have to reconstruct original field with 0/1\n\nThe description of r... |
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