task_name
string | initial_board
string | solution
string | environment_info
string | puzzle_id
string | title
string | rules
string | initial_observation
string | solution_reference
string | rows
int64 | cols
int64 | visual_elements
string | encoded_puzzle
string | description
string |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
sudoku_bench_50
|
.................................................................................
|
392154687178936542465872139257649813843215976619783425726491358934528761581367294
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
9x9
### Rules
"Sudoku - Place digits from 1-9 in every cell without repeating in a row, column, or 3x3 box.\n\nKiller cages - Digits in a cage cannot repeat and sum to the clue in the upper left corner of the cage.\n\nThermometers - Digits along a gray thermometer line increase moving away from the bulb."
### Visual Elements
- killer cage (value 35): r2c4 r3c4 r4c2 r4c3 r4c4
- killer cage (value 26): r6c2 r6c3 r6c4 r7c4 r8c4
- killer cage (value 26): r2c6 r3c6 r4c6 r4c7 r4c8
- killer cage (value 18): r6c6 r6c7 r6c8 r7c6 r8c6
- line, color: lightgray, coords: r4c2 r3c2 r2c2 r2c3 r2c4
- line, color: lightgray, coords: r4c8 r3c8 r2c8 r2c7 r2c6
- line, color: lightgray, coords: r6c2 r7c2 r8c2 r8c3 r8c4
- line, color: lightgray, coords: r6c8 r7c8 r8c8 r8c7 r8c6
- line, color: lightgray, coords: r5c5 r4c5 r3c5
- line, color: lightgray, coords: r5c5 r5c4 r5c3
- line, color: lightgray, coords: r5c5 r6c5 r7c5
- line, color: lightgray, coords: r5c5 r5c6 r5c7
- shape: circle, color: lightgray, location: r4c2
- shape: circle, color: lightgray, location: r4c8
- shape: circle, color: lightgray, location: r6c2
- shape: circle, color: lightgray, location: r6c8
- shape: circle, color: lightgray, location: r5c5
|
sxsm_SkepticalMario_590335c7f71da1de576b4e5138932fa2
|
Reticule
|
"Sudoku - Place digits from 1-9 in every cell without repeating in a row, column, or 3x3 box.\n\nKiller cages - Digits in a cage cannot repeat and sum to the clue in the upper left corner of the cage.\n\nThermometers - Digits along a gray thermometer line increase moving away from the bulb."
|
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. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
|
3 9 2 1 5 4 6 8 7
1 7 8 9 3 6 5 4 2
4 6 5 8 7 2 1 3 9
2 5 7 6 4 9 8 1 3
8 4 3 2 1 5 9 7 6
6 1 9 7 8 3 4 2 5
7 2 6 4 9 1 3 5 8
9 3 4 5 2 8 7 6 1
5 8 1 3 6 7 2 9 4
| 9 | 9 |
- killer cage (value 35): r2c4 r3c4 r4c2 r4c3 r4c4
- killer cage (value 26): r6c2 r6c3 r6c4 r7c4 r8c4
- killer cage (value 26): r2c6 r3c6 r4c6 r4c7 r4c8
- killer cage (value 18): r6c6 r6c7 r6c8 r7c6 r8c6
- line, color: lightgray, coords: r4c2 r3c2 r2c2 r2c3 r2c4
- line, color: lightgray, coords: r4c8 r3c8 r2c8 r2c7 r2c6
- line, color: lightgray, coords: r6c2 r7c2 r8c2 r8c3 r8c4
- line, color: lightgray, coords: r6c8 r7c8 r8c8 r8c7 r8c6
- line, color: lightgray, coords: r5c5 r4c5 r3c5
- line, color: lightgray, coords: r5c5 r5c4 r5c3
- line, color: lightgray, coords: r5c5 r6c5 r7c5
- line, color: lightgray, coords: r5c5 r5c6 r5c7
- shape: circle, color: lightgray, location: r4c2
- shape: circle, color: lightgray, location: r4c8
- shape: circle, color: lightgray, location: r6c2
- shape: circle, color: lightgray, location: r6c8
- shape: circle, color: lightgray, location: r5c5
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_51
|
.................................................................................
|
376289154584371296291456378659813742438792561127564983963145827842937615715628439
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
9x9
### Rules
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
\nDigits on thermometers increase strictly from the bulb end.\nDigits separated by a V sum to 5, digits separated by an X sum to 10. Not all possible Vs and Xes are given."
### Visual Elements
- line, color: lightgray, coords: r9c2 r8c2 r7c2 r6c3 r5c3 r4c3
- line, color: lightgray, coords: r9c5 r8c5 r7c5 r6c4 r5c4 r4c4
- line, color: lightgray, coords: r1c7 r2c7 r3c7 r4c8 r5c8 r6c8
- shape: circle, color: lightgray, location: r9c2
- shape: circle, color: lightgray, location: r9c5
- shape: circle, color: lightgray, location: r1c7
- text: X, shape: square, color: white, location: between r4c1 and r5c1
- text: V, shape: square, color: white, location: between r2c3 and r3c3
- text: V, shape: square, color: white, location: between r4c6 and r5c6
- text: X, shape: square, color: white, location: between r8c7 and r9c7
- text: X, shape: square, color: white, location: between r7c7 and r7c8
- text: X, shape: square, color: white, location: between r6c9 and r7c9
- text: X, shape: square, color: white, location: between r8c5 and r8c6
- text: X, shape: square, color: white, location: between r2c4 and r2c5
|
fpuzzle96c812562ed606081c07ddd3c0650bf1
|
Raw Ping
|
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
\nDigits on thermometers increase strictly from the bulb end.\nDigits separated by a V sum to 5, digits separated by an X sum to 10. Not all possible Vs and Xes are given."
|
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
|
3 7 6 2 8 9 1 5 4
5 8 4 3 7 1 2 9 6
2 9 1 4 5 6 3 7 8
6 5 9 8 1 3 7 4 2
4 3 8 7 9 2 5 6 1
1 2 7 5 6 4 9 8 3
9 6 3 1 4 5 8 2 7
8 4 2 9 3 7 6 1 5
7 1 5 6 2 8 4 3 9
| 9 | 9 |
- line, color: lightgray, coords: r9c2 r8c2 r7c2 r6c3 r5c3 r4c3
- line, color: lightgray, coords: r9c5 r8c5 r7c5 r6c4 r5c4 r4c4
- line, color: lightgray, coords: r1c7 r2c7 r3c7 r4c8 r5c8 r6c8
- shape: circle, color: lightgray, location: r9c2
- shape: circle, color: lightgray, location: r9c5
- shape: circle, color: lightgray, location: r1c7
- text: X, shape: square, color: white, location: between r4c1 and r5c1
- text: V, shape: square, color: white, location: between r2c3 and r3c3
- text: V, shape: square, color: white, location: between r4c6 and r5c6
- text: X, shape: square, color: white, location: between r8c7 and r9c7
- text: X, shape: square, color: white, location: between r7c7 and r7c8
- text: X, shape: square, color: white, location: between r6c9 and r7c9
- text: X, shape: square, color: white, location: between r8c5 and r8c6
- text: X, shape: square, color: white, location: between r2c4 and r2c5
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_52
|
4..8.7..5..........................6.................8..........................2
|
413867925652319784798524631839745216265138497174692358547283169926451873381976542
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
9x9
### Rules
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
\n2). Digits separated by a red dot are non-consecutive and contain one even digit and one odd digit. All dots are given! "
### Visual Elements
- shape: circle, color: tomato, location: between r1c1 and r1c2
- shape: circle, color: tomato, location: between r1c3 and r1c4
- shape: circle, color: tomato, location: between r1c7 and r1c8
- shape: circle, color: tomato, location: between r1c8 and r1c9
- shape: circle, color: tomato, location: between r2c2 and r2c3
- shape: circle, color: tomato, location: between r3c3 and r3c4
- shape: circle, color: tomato, location: between r3c4 and r3c5
- shape: circle, color: tomato, location: between r3c7 and r3c8
- shape: circle, color: tomato, location: between r4c1 and r4c2
- shape: circle, color: tomato, location: between r4c4 and r4c5
- shape: circle, color: tomato, location: between r4c6 and r4c7
- shape: circle, color: tomato, location: between r4c8 and r4c9
- shape: circle, color: tomato, location: between r5c5 and r5c6
- shape: circle, color: tomato, location: between r5c7 and r5c8
- shape: circle, color: tomato, location: between r6c2 and r6c3
- shape: circle, color: tomato, location: between r6c4 and r6c5
- shape: circle, color: tomato, location: between r6c5 and r6c6
- shape: circle, color: tomato, location: between r6c8 and r6c9
- shape: circle, color: tomato, location: between r7c2 and r7c3
- shape: circle, color: tomato, location: between r7c3 and r7c4
- shape: circle, color: tomato, location: between r7c5 and r7c6
- shape: circle, color: tomato, location: between r7c7 and r7c8
- shape: circle, color: tomato, location: between r7c8 and r7c9
- shape: circle, color: tomato, location: between r8c1 and r8c2
- shape: circle, color: tomato, location: between r8c6 and r8c7
- shape: circle, color: tomato, location: between r9c1 and r9c2
- shape: circle, color: tomato, location: between r9c2 and r9c3
- shape: circle, color: tomato, location: between r4c2 and r5c2
- shape: circle, color: tomato, location: between r6c2 and r7c2
- shape: circle, color: tomato, location: between r6c3 and r7c3
- shape: circle, color: tomato, location: between r8c3 and r9c3
- shape: circle, color: tomato, location: between r8c4 and r9c4
- shape: circle, color: tomato, location: between r5c4 and r6c4
- shape: circle, color: tomato, location: between r1c4 and r2c4
- shape: circle, color: tomato, location: between r1c5 and r2c5
- shape: circle, color: tomato, location: between r7c5 and r8c5
- shape: circle, color: tomato, location: between r8c6 and r9c6
- shape: circle, color: tomato, location: between r4c6 and r5c6
- shape: circle, color: tomato, location: between r2c6 and r3c6
- shape: circle, color: tomato, location: between r7c7 and r8c7
- shape: circle, color: tomato, location: between r8c7 and r9c7
- shape: circle, color: tomato, location: between r8c8 and r9c8
- shape: circle, color: tomato, location: between r2c8 and r3c8
- shape: circle, color: tomato, location: between r2c9 and r3c9
- shape: circle, color: tomato, location: between r3c9 and r4c9
|
fpuzzle83d7d2d518c6eba182387709016ea0f2
|
Wild apples
|
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
\n2). Digits separated by a red dot are non-consecutive and contain one even digit and one odd digit. All dots are given! "
|
4 . . 8 . 7 . . 5
. . . . . . . . .
. . . . . . . . .
. . . . . . . . 6
. . . . . . . . .
. . . . . . . . 8
. . . . . . . . .
. . . . . . . . .
. . . . . . . . 2
|
4 1 3 8 6 7 9 2 5
6 5 2 3 1 9 7 8 4
7 9 8 5 2 4 6 3 1
8 3 9 7 4 5 2 1 6
2 6 5 1 3 8 4 9 7
1 7 4 6 9 2 3 5 8
5 4 7 2 8 3 1 6 9
9 2 6 4 5 1 8 7 3
3 8 1 9 7 6 5 4 2
| 9 | 9 |
- shape: circle, color: tomato, location: between r1c1 and r1c2
- shape: circle, color: tomato, location: between r1c3 and r1c4
- shape: circle, color: tomato, location: between r1c7 and r1c8
- shape: circle, color: tomato, location: between r1c8 and r1c9
- shape: circle, color: tomato, location: between r2c2 and r2c3
- shape: circle, color: tomato, location: between r3c3 and r3c4
- shape: circle, color: tomato, location: between r3c4 and r3c5
- shape: circle, color: tomato, location: between r3c7 and r3c8
- shape: circle, color: tomato, location: between r4c1 and r4c2
- shape: circle, color: tomato, location: between r4c4 and r4c5
- shape: circle, color: tomato, location: between r4c6 and r4c7
- shape: circle, color: tomato, location: between r4c8 and r4c9
- shape: circle, color: tomato, location: between r5c5 and r5c6
- shape: circle, color: tomato, location: between r5c7 and r5c8
- shape: circle, color: tomato, location: between r6c2 and r6c3
- shape: circle, color: tomato, location: between r6c4 and r6c5
- shape: circle, color: tomato, location: between r6c5 and r6c6
- shape: circle, color: tomato, location: between r6c8 and r6c9
- shape: circle, color: tomato, location: between r7c2 and r7c3
- shape: circle, color: tomato, location: between r7c3 and r7c4
- shape: circle, color: tomato, location: between r7c5 and r7c6
- shape: circle, color: tomato, location: between r7c7 and r7c8
- shape: circle, color: tomato, location: between r7c8 and r7c9
- shape: circle, color: tomato, location: between r8c1 and r8c2
- shape: circle, color: tomato, location: between r8c6 and r8c7
- shape: circle, color: tomato, location: between r9c1 and r9c2
- shape: circle, color: tomato, location: between r9c2 and r9c3
- shape: circle, color: tomato, location: between r4c2 and r5c2
- shape: circle, color: tomato, location: between r6c2 and r7c2
- shape: circle, color: tomato, location: between r6c3 and r7c3
- shape: circle, color: tomato, location: between r8c3 and r9c3
- shape: circle, color: tomato, location: between r8c4 and r9c4
- shape: circle, color: tomato, location: between r5c4 and r6c4
- shape: circle, color: tomato, location: between r1c4 and r2c4
- shape: circle, color: tomato, location: between r1c5 and r2c5
- shape: circle, color: tomato, location: between r7c5 and r8c5
- shape: circle, color: tomato, location: between r8c6 and r9c6
- shape: circle, color: tomato, location: between r4c6 and r5c6
- shape: circle, color: tomato, location: between r2c6 and r3c6
- shape: circle, color: tomato, location: between r7c7 and r8c7
- shape: circle, color: tomato, location: between r8c7 and r9c7
- shape: circle, color: tomato, location: between r8c8 and r9c8
- shape: circle, color: tomato, location: between r2c8 and r3c8
- shape: circle, color: tomato, location: between r2c9 and r3c9
- shape: circle, color: tomato, location: between r3c9 and r4c9
|
fpuzN4IgzglgXgpiBcBOANCALhNAbO8QHUIsATAAgEMAHSnMEVcgVzQAsB7AJwRADMPyAxmnJYAthAB2xSQHN6IDo1ow03AIwBKAHSkAcp1EjSYRsTYBrRqUW0K1LAE8tAHQkAmbaQAiEGZjDGMJTk/GgwZABGDhTW4aRmaBQcMKQSbBIAtALpYDACzBAAbinkUqTZEsKSpOkpMMUS8b6YFGW1NcRk0n5oOgCCWFjxbGgBISl+DQCEpPIyHBDECADay6CFIoy4ACyokzASCGiKMAC+yMDnlxcgG1hbCAAce0UHRydXV7ebuADsLw13ltPhcvncHvAAKwAt7wY7AgC6yDWIOuaNRGKRKNBOPRuMxyLxRIxuO+91wADYYYc4R8scT8Yz0fSSQyiWSIc8QPsafCziymayCdi2ULQQLRYKbuDcG5qUD+UiQAIIBwBDgVqABDBBnR4MsQAAlNQAYTU8mNJrcICVEXIuRN3AAxAAxF3bAAM2wAzPI2MwsJIYI68K73V7fageOk0CGQE6PYmk/IAO6LVgID1ab2oFgwXwsVTwLPer7a3UrI2myNVk3bG2oO0O51uz0+v0BoNxsNtmvRyrdpPJ1Bp4gZ4vZ3P5mSFzPZss6rB6g2W34W02PBsgJvBlvh9uof3YLt73vyfux51DxOp9MsOc5kB5gtFksLiv62uIdcmze2+27qGrYRh2x4SIB8bAQevAxoO163mO94To+z4zq+843OWS6VoabgmjWuFWluO7dlBNZHoG4GkfufawVe8EjneD5Ti+D7vthn6Gt6+EWtx9b/s2QE0aBlEQT2IFRnRobXh6CHjiWLFoWxmGLsuRp8bxJqQsRAHUWeh6dlRp4STBA70UOclIQpT7TrOyHsWpXEmmuqBOX+ja6cZ0EUSeQn6aZl7SQxICjvJk42ax9kqR+K7bGaFpxdaAliWRIm+ZBwmSWZQUWYxiHMRFSlRVqqk4XF9auXF2nJXpJk+UZfkmRecG5SFTHIYpdlvtFHGxSaFIJc5OmCRl/n1SlmUBS1w5tflHWFV1GElTFRpxZulUmt+NVeeRhkTf5zXmTNoVWeFqGLaWPWOZCWkWjdA3bY13l7bV0GHTlx3tdZ53oZdy29UaN3rYDQ2PaNdUvTt55SfGMmWQVP3Kf9jkUkRrmo76YPic9YH7U1MMJsFJ0I7Zv0OThqPaejdbDXjOOia9tHZbDRNfWdpNI8qpWcZTFqow9Hkjdju244z0PM4TrXE/NiPFVzK2GqjwOK5ttNiwZotQ1lgUs1LbMoRzctYY5vxo0apuY4LdMiwzWtTUdN55WFBuRd1yM4abFXmzxWOpRrttPUzOuS59c3fYbbvywDhqmwNrmm9VVvqyA43J+9uuh87nVk1dHtDfHv5q3bqd2+nIeO7NWcLTn7ucabyum1tSfF5Dgfi8HcNO6dLtFZHxs4Y88WuYPSXN23/vpcL7fTRX0vh67S1R45g9x0ag9rr7k0l+P9sfbP+vZ5z/ecYgZuGqf5qb2Nrfg29BOd5X3eH0b3MrqfBGn6P26eTv2+30HM9ZJdxJgvP6S8ypnxul/EiLdNY7zLg/Oe7NQHkzrmfVG0Cf7/zSg1bB2tAHwxlhHRex8VwYwtBbIuv8b5T3wQ7IBj8QG9xIa/NePFXLvyoXglONC/a7wzvvMOyDmFgNIUaU+XtDSD34mPbhf9aH8PLgwpBPcLqoJXDdSRqMZHfyFnw+RfCEGsyEaomu4DOJ4UkaaHRMDqFwO4UYvWJjn591YYRKmtZE66OtjgnxdC97KIPtXI+bjB4eJjrdK+EN7EKMcZnJ+wSX4K1PqvKR/UuEKIMZNOJgiq6y1cQrOKqT7oZP0bw7J99jF5OIaItx3FUl4QFt45OWSDqVKcdUlBudOLrwoaDWRmTyltIlogoJ+SWHJPzmwjeAyykxMMe0+JTC1HdLfoXYehcon00ngskZVSEnjNqQrbiys8LuWabAgODjFm5IOTU9R6lVauTwk3C5dirmxJuYE5xiSCnRzit+Vy3FXm2LkUM/GeyOl3JQUqMAbB7gYHSJWL25pUA1mBqvFyIBAUgGtKgDxq8PF4pADWVF2L5BYuBl7LFOLgZEvkF7VepL5DAxrDirFXt6WoDJavYlhL5BkvRQy+Q7KBUUuFagVeOLiU1g8XSiVIAsXEtZWKyVIr1WoD5QqjxZLgZYprEK7lGrFXyH5agL2SVThAA===
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_53
|
.................................................................................
|
729384651146259873853716942417623589965871324382495167578932416691547238234168795
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
9x9
### Rules
"- Normal sudoku rules apply, i.e. each row, column and 3x3 region has to contain the digits from 1 to 9 once each.\n\n- Index lines: Each turquoise line is an Index Line, i.e. the digit in the Nth cell along such a line (starting from the diamond) indicates the position along the line where the digit N appears. For example, if a diamond cell contains a 3, the third cell along that line must have a 1.\n\n- German Whispers: Adjacent digits along a green line must differ by at least 5.\n\n- Renban: Each purple line must contain a set of consecutive non-repeating digits in any order."
### Visual Elements
- line, color: aquamarine, coords: r3c9 r2c9 r1c9 r1c8 r1c7 r1c6
- line, color: aquamarine, coords: r9c4 r9c3 r9c2 r9c1 r8c1 r7c1
- line, color: aquamarine, coords: r2c1 r2c2 r3c3 r2c4 r2c5
- line, color: aquamarine, coords: r5c3 r6c4 r7c5 r7c6 r6c7 r6c8
- line, color: lightgreen, coords: r1c1 r1c2 r1c3 r1c4 r1c5
- line, color: lightgreen, coords: r3c8 r4c9 r5c8 r6c9 r7c8
- line, color: lightgreen, coords: r8c2 r8c3 r7c4
- line, color: violet, coords: r9c5 r9c6 r9c7 r9c8 r9c9
- line, color: violet, coords: r7c2 r6c1 r5c2 r4c1 r3c2
- line, color: violet, coords: r3c6 r2c7 r2c8
- shape: diamond, color: aquamarine, location: r1c6
- shape: diamond, color: aquamarine, location: r9c4
- shape: diamond, color: aquamarine, location: r2c1
- shape: diamond, color: aquamarine, location: r5c3
|
sxsm_sujoyku_fe6dc92cb04d25b5826538b1b74b24c5
|
Who knew?
|
"- Normal sudoku rules apply, i.e. each row, column and 3x3 region has to contain the digits from 1 to 9 once each.\n\n- Index lines: Each turquoise line is an Index Line, i.e. the digit in the Nth cell along such a line (starting from the diamond) indicates the position along the line where the digit N appears. For example, if a diamond cell contains a 3, the third cell along that line must have a 1.\n\n- German Whispers: Adjacent digits along a green line must differ by at least 5.\n\n- Renban: Each purple line must contain a set of consecutive non-repeating digits in any order."
|
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|
7 2 9 3 8 4 6 5 1
1 4 6 2 5 9 8 7 3
8 5 3 7 1 6 9 4 2
4 1 7 6 2 3 5 8 9
9 6 5 8 7 1 3 2 4
3 8 2 4 9 5 1 6 7
5 7 8 9 3 2 4 1 6
6 9 1 5 4 7 2 3 8
2 3 4 1 6 8 7 9 5
| 9 | 9 |
- line, color: aquamarine, coords: r3c9 r2c9 r1c9 r1c8 r1c7 r1c6
- line, color: aquamarine, coords: r9c4 r9c3 r9c2 r9c1 r8c1 r7c1
- line, color: aquamarine, coords: r2c1 r2c2 r3c3 r2c4 r2c5
- line, color: aquamarine, coords: r5c3 r6c4 r7c5 r7c6 r6c7 r6c8
- line, color: lightgreen, coords: r1c1 r1c2 r1c3 r1c4 r1c5
- line, color: lightgreen, coords: r3c8 r4c9 r5c8 r6c9 r7c8
- line, color: lightgreen, coords: r8c2 r8c3 r7c4
- line, color: violet, coords: r9c5 r9c6 r9c7 r9c8 r9c9
- line, color: violet, coords: r7c2 r6c1 r5c2 r4c1 r3c2
- line, color: violet, coords: r3c6 r2c7 r2c8
- shape: diamond, color: aquamarine, location: r1c6
- shape: diamond, color: aquamarine, location: r9c4
- shape: diamond, color: aquamarine, location: r2c1
- shape: diamond, color: aquamarine, location: r5c3
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_54
|
.................................................................................
|
813692475945713268726845139457928613698371542231456987174589326389264751562137894
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
9x9
### Rules
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
\n\n- Killer cages: Digits in cages must sum to the number in the top-left corner and cannot repeat.\n\n- Arrows: Digits along an arrow sum to the digit in the connected circled cell.\n\n- Kropki dots: Cells joined by a white dot contain consecutive digits. Not all possible dots are given."
### Visual Elements
- killer cage (value 19): r9c2 r9c3 r9c4 r9c5 r9c6
- killer cage (value 16): r4c1 r5c1 r6c1 r7c1 r8c1
- killer cage (value 12): r2c7 r2c8 r3c7 r3c8
- arrow, color: darkgray, coords (base to tip): r2c4 r1c3 r2c2
- arrow, color: darkgray, coords (base to tip): r3c4 r3c3 r3c2
- arrow, color: darkgray, coords (base to tip): r1c4 r2c3 r1c2
- arrow, color: darkgray, coords (base to tip): r6c8 r7c7 r8c8
- arrow, color: darkgray, coords (base to tip): r6c7 r7c8 r8c7
- arrow, color: darkgray, coords (base to tip): r6c9 r7c9 r8c9
- arrow, color: darkgray, coords (base to tip): r5c7 r5c8 r4c8
- arrow, color: darkgray, coords (base to tip): r3c5 r2c5 r2c6
- arrow, color: darkgray, coords (base to tip): r3c6 r4c5 r5c4
- arrow, color: darkgray, coords (base to tip): r4c7 r5c6 r6c5
- shape: circle, color: white (stroke color: darkgray), location: r2c4
- shape: circle, color: white (stroke color: darkgray), location: r3c4
- shape: circle, color: white (stroke color: darkgray), location: r1c4
- shape: circle, color: white (stroke color: darkgray), location: r6c8
- shape: circle, color: white (stroke color: darkgray), location: r6c7
- shape: circle, color: white (stroke color: darkgray), location: r6c9
- shape: circle, color: white (stroke color: darkgray), location: r5c7
- shape: circle, color: white (stroke color: darkgray), location: r3c5
- shape: circle, color: white (stroke color: darkgray), location: r3c6
- shape: circle, color: white (stroke color: darkgray), location: r4c7
- shape: circle, color: white (stroke color: black), location: between r6c7 and r6c8
- shape: circle, color: white (stroke color: black), location: between r6c8 and r6c9
- shape: circle, color: white (stroke color: black), location: between r1c4 and r2c4
- shape: circle, color: white (stroke color: black), location: between r2c4 and r3c4
- shape: circle, color: white (stroke color: black), location: between r3c5 and r3c6
- shape: circle, color: white (stroke color: black), location: between r4c7 and r5c7
- shape: circle, color: white (stroke color: black), location: between r6c1 and r7c1
- shape: circle, color: white (stroke color: black), location: between r9c3 and r9c4
- shape: circle, color: white (stroke color: black), location: between r4c3 and r5c3
- shape: circle, color: white (stroke color: black), location: between r7c5 and r7c6
|
sxsm_Graggle_0560b16e84e4aa56a972936b8d7be529
|
What's the difference?
|
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
\n\n- Killer cages: Digits in cages must sum to the number in the top-left corner and cannot repeat.\n\n- Arrows: Digits along an arrow sum to the digit in the connected circled cell.\n\n- Kropki dots: Cells joined by a white dot contain consecutive digits. Not all possible dots are given."
|
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
|
8 1 3 6 9 2 4 7 5
9 4 5 7 1 3 2 6 8
7 2 6 8 4 5 1 3 9
4 5 7 9 2 8 6 1 3
6 9 8 3 7 1 5 4 2
2 3 1 4 5 6 9 8 7
1 7 4 5 8 9 3 2 6
3 8 9 2 6 4 7 5 1
5 6 2 1 3 7 8 9 4
| 9 | 9 |
- killer cage (value 19): r9c2 r9c3 r9c4 r9c5 r9c6
- killer cage (value 16): r4c1 r5c1 r6c1 r7c1 r8c1
- killer cage (value 12): r2c7 r2c8 r3c7 r3c8
- arrow, color: darkgray, coords (base to tip): r2c4 r1c3 r2c2
- arrow, color: darkgray, coords (base to tip): r3c4 r3c3 r3c2
- arrow, color: darkgray, coords (base to tip): r1c4 r2c3 r1c2
- arrow, color: darkgray, coords (base to tip): r6c8 r7c7 r8c8
- arrow, color: darkgray, coords (base to tip): r6c7 r7c8 r8c7
- arrow, color: darkgray, coords (base to tip): r6c9 r7c9 r8c9
- arrow, color: darkgray, coords (base to tip): r5c7 r5c8 r4c8
- arrow, color: darkgray, coords (base to tip): r3c5 r2c5 r2c6
- arrow, color: darkgray, coords (base to tip): r3c6 r4c5 r5c4
- arrow, color: darkgray, coords (base to tip): r4c7 r5c6 r6c5
- shape: circle, color: white (stroke color: darkgray), location: r2c4
- shape: circle, color: white (stroke color: darkgray), location: r3c4
- shape: circle, color: white (stroke color: darkgray), location: r1c4
- shape: circle, color: white (stroke color: darkgray), location: r6c8
- shape: circle, color: white (stroke color: darkgray), location: r6c7
- shape: circle, color: white (stroke color: darkgray), location: r6c9
- shape: circle, color: white (stroke color: darkgray), location: r5c7
- shape: circle, color: white (stroke color: darkgray), location: r3c5
- shape: circle, color: white (stroke color: darkgray), location: r3c6
- shape: circle, color: white (stroke color: darkgray), location: r4c7
- shape: circle, color: white (stroke color: black), location: between r6c7 and r6c8
- shape: circle, color: white (stroke color: black), location: between r6c8 and r6c9
- shape: circle, color: white (stroke color: black), location: between r1c4 and r2c4
- shape: circle, color: white (stroke color: black), location: between r2c4 and r3c4
- shape: circle, color: white (stroke color: black), location: between r3c5 and r3c6
- shape: circle, color: white (stroke color: black), location: between r4c7 and r5c7
- shape: circle, color: white (stroke color: black), location: between r6c1 and r7c1
- shape: circle, color: white (stroke color: black), location: between r9c3 and r9c4
- shape: circle, color: white (stroke color: black), location: between r4c3 and r5c3
- shape: circle, color: white (stroke color: black), location: between r7c5 and r7c6
|
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Complete the sudoku board based on the rules and visual elements.
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sudoku_bench_55
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.................................................................................
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517392648892645173345178926678923451123456789956781234481239567739564812264817395
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
9x9
### Rules
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
Place the digits 1 - 9 in each row, column, and outlined region.\nAnti-knight - Cells a chess knight's move apart may not contain the same digit.\nAnti-king - Cells a chess King's move apart may not contain the same digit.\nCounting Circles - If a digit n appears in a circle, then the digit n appears in exactly n circles."
### Visual Elements
- region: r6c9 r7c9 r8c9 r9c9 r9c8 r8c8 r7c8 r8c7 r9c7
- region: r8c6 r9c6 r7c6 r7c7 r6c7 r6c8 r5c8 r8c5 r9c5
- region: r9c4 r9c3 r9c2 r9c1 r8c1 r8c2 r8c3 r8c4 r7c3
- region: r5c9 r4c9 r3c9 r3c8 r4c8 r2c8 r1c8 r1c9 r2c9
- region: r7c1 r7c2 r6c2 r6c1 r6c3 r5c2 r5c1 r5c3 r4c2
- region: r7c5 r7c4 r6c4 r6c5 r6c6 r5c5 r5c4 r4c4 r5c6
- region: r5c7 r4c7 r3c7 r2c7 r1c7 r1c6 r2c6 r3c6 r4c6
- region: r4c5 r3c5 r3c4 r3c3 r4c3 r2c4 r1c4 r1c5 r2c5
- region: r2c3 r1c3 r1c2 r2c2 r3c2 r3c1 r4c1 r2c1 r1c1
- shape: circle, color: white (stroke color: black), location: r2c1
- shape: circle, color: white (stroke color: black), location: r3c6
- shape: circle, color: white (stroke color: black), location: r5c8
- shape: circle, color: white (stroke color: black), location: r6c5
- shape: circle, color: white (stroke color: black), location: r7c2
- shape: circle, color: white (stroke color: black), location: r9c4
- shape: circle, color: white (stroke color: black), location: r8c7
- shape: circle, color: white (stroke color: black), location: r4c3
- shape: circle, color: white (stroke color: black), location: r2c8
- shape: circle, color: white (stroke color: black), location: r7c9
- shape: circle, color: white (stroke color: black), location: r1c3
- shape: circle, color: white (stroke color: black), location: r4c2
- shape: circle, color: white (stroke color: black), location: r6c4
- shape: circle, color: white (stroke color: black), location: r3c5
- shape: circle, color: white (stroke color: black), location: r5c7
- shape: circle, color: white (stroke color: black), location: r6c3
- shape: circle, color: white (stroke color: black), location: r2c4
- shape: circle, color: white (stroke color: black), location: r1c7
- shape: circle, color: white (stroke color: black), location: r3c9
- shape: circle, color: white (stroke color: black), location: r5c6
- shape: circle, color: white (stroke color: black), location: r8c5
- shape: circle, color: white (stroke color: black), location: r4c8
- shape: circle, color: white (stroke color: black), location: r2c6
- shape: circle, color: white (stroke color: black), location: r1c1
- shape: circle, color: white (stroke color: black), location: r9c9
- shape: circle, color: white (stroke color: black), location: r3c3
- shape: circle, color: white (stroke color: black), location: r5c4
- shape: circle, color: white (stroke color: black), location: r4c7
- shape: circle, color: white (stroke color: black), location: r3c2
- shape: circle, color: white (stroke color: black), location: r9c3
- shape: circle, color: white (stroke color: black), location: r8c2
- shape: circle, color: white (stroke color: black), location: r5c3
- shape: circle, color: white (stroke color: black), location: r2c9
- shape: circle, color: white (stroke color: black), location: r9c1
- shape: circle, color: white (stroke color: black), location: r6c7
- shape: circle, color: white (stroke color: black), location: r3c4
- global: anti-king
- global: anti-knight
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sxsm_LMDemasi_f1d80ad67adb65d7e895c896331d3a09
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God save the Queen
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Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
Place the digits 1 - 9 in each row, column, and outlined region.\nAnti-knight - Cells a chess knight's move apart may not contain the same digit.\nAnti-king - Cells a chess King's move apart may not contain the same digit.\nCounting Circles - If a digit n appears in a circle, then the digit n appears in exactly n circles."
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5 1 7 3 9 2 6 4 8
8 9 2 6 4 5 1 7 3
3 4 5 1 7 8 9 2 6
6 7 8 9 2 3 4 5 1
1 2 3 4 5 6 7 8 9
9 5 6 7 8 1 2 3 4
4 8 1 2 3 9 5 6 7
7 3 9 5 6 4 8 1 2
2 6 4 8 1 7 3 9 5
| 9 | 9 |
- region: r6c9 r7c9 r8c9 r9c9 r9c8 r8c8 r7c8 r8c7 r9c7
- region: r8c6 r9c6 r7c6 r7c7 r6c7 r6c8 r5c8 r8c5 r9c5
- region: r9c4 r9c3 r9c2 r9c1 r8c1 r8c2 r8c3 r8c4 r7c3
- region: r5c9 r4c9 r3c9 r3c8 r4c8 r2c8 r1c8 r1c9 r2c9
- region: r7c1 r7c2 r6c2 r6c1 r6c3 r5c2 r5c1 r5c3 r4c2
- region: r7c5 r7c4 r6c4 r6c5 r6c6 r5c5 r5c4 r4c4 r5c6
- region: r5c7 r4c7 r3c7 r2c7 r1c7 r1c6 r2c6 r3c6 r4c6
- region: r4c5 r3c5 r3c4 r3c3 r4c3 r2c4 r1c4 r1c5 r2c5
- region: r2c3 r1c3 r1c2 r2c2 r3c2 r3c1 r4c1 r2c1 r1c1
- shape: circle, color: white (stroke color: black), location: r2c1
- shape: circle, color: white (stroke color: black), location: r3c6
- shape: circle, color: white (stroke color: black), location: r5c8
- shape: circle, color: white (stroke color: black), location: r6c5
- shape: circle, color: white (stroke color: black), location: r7c2
- shape: circle, color: white (stroke color: black), location: r9c4
- shape: circle, color: white (stroke color: black), location: r8c7
- shape: circle, color: white (stroke color: black), location: r4c3
- shape: circle, color: white (stroke color: black), location: r2c8
- shape: circle, color: white (stroke color: black), location: r7c9
- shape: circle, color: white (stroke color: black), location: r1c3
- shape: circle, color: white (stroke color: black), location: r4c2
- shape: circle, color: white (stroke color: black), location: r6c4
- shape: circle, color: white (stroke color: black), location: r3c5
- shape: circle, color: white (stroke color: black), location: r5c7
- shape: circle, color: white (stroke color: black), location: r6c3
- shape: circle, color: white (stroke color: black), location: r2c4
- shape: circle, color: white (stroke color: black), location: r1c7
- shape: circle, color: white (stroke color: black), location: r3c9
- shape: circle, color: white (stroke color: black), location: r5c6
- shape: circle, color: white (stroke color: black), location: r8c5
- shape: circle, color: white (stroke color: black), location: r4c8
- shape: circle, color: white (stroke color: black), location: r2c6
- shape: circle, color: white (stroke color: black), location: r1c1
- shape: circle, color: white (stroke color: black), location: r9c9
- shape: circle, color: white (stroke color: black), location: r3c3
- shape: circle, color: white (stroke color: black), location: r5c4
- shape: circle, color: white (stroke color: black), location: r4c7
- shape: circle, color: white (stroke color: black), location: r3c2
- shape: circle, color: white (stroke color: black), location: r9c3
- shape: circle, color: white (stroke color: black), location: r8c2
- shape: circle, color: white (stroke color: black), location: r5c3
- shape: circle, color: white (stroke color: black), location: r2c9
- shape: circle, color: white (stroke color: black), location: r9c1
- shape: circle, color: white (stroke color: black), location: r6c7
- shape: circle, color: white (stroke color: black), location: r3c4
- global: anti-king
- global: anti-knight
|
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Complete the sudoku board based on the rules and visual elements.
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sudoku_bench_56
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.................................................................................
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561874293429365781837291645396412857145687932782953164218549376953726418674138529
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### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
9x9
### Rules
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
\nEach white line can be divided into one or more segments that each sum to 10.\nEach digit in a shaded cell is less than its orthogonally adjacent neighbors in unshaded cells (as indicated by the inequality symbols)."
### Visual Elements
- inequality arrow: > between r8c8 and r8c9
- inequality arrow: < between r8c9 and r8c8
- inequality arrow: v between r8c8 and r9c8
- inequality arrow: ^ between r9c8 and r8c8
- inequality arrow: > between r8c5 and r8c6
- inequality arrow: < between r8c6 and r8c5
- inequality arrow: v between r8c5 and r9c5
- inequality arrow: ^ between r9c5 and r8c5
- inequality arrow: > between r7c2 and r7c3
- inequality arrow: < between r7c3 and r7c2
- inequality arrow: v between r7c2 and r8c2
- inequality arrow: ^ between r8c2 and r7c2
- inequality arrow: < between r5c2 and r5c1
- inequality arrow: v between r5c1 and r6c1
- inequality arrow: ^ between r6c1 and r5c1
- inequality arrow: > between r2c2 and r2c3
- inequality arrow: < between r2c3 and r2c2
- inequality arrow: v between r2c2 and r3c2
- inequality arrow: ^ between r3c2 and r2c2
- inequality arrow: > between r3c4 and r3c5
- inequality arrow: < between r3c5 and r3c4
- inequality arrow: v between r3c4 and r4c4
- inequality arrow: ^ between r4c4 and r3c4
- inequality arrow: > between r3c8 and r3c9
- inequality arrow: < between r3c9 and r3c8
- inequality arrow: v between r3c8 and r4c8
- inequality arrow: ^ between r4c8 and r3c8
- line, color: darkgray, coords: r8c9 r9c8 r8c7 r8c6 r9c5 r8c4
- line, color: darkgray, coords: r8c3 r8c2 r7c1 r6c2 r6c3
- line, color: darkgray, coords: r5c2 r4c1 r3c2 r2c1 r1c2
- line, color: darkgray, coords: r3c9 r4c8 r4c7 r4c6 r3c6 r2c6 r1c6 r1c7 r2c8 r3c9
- line, color: darkgray, coords: r2c4 r3c3 r4c3 r4c4 r4c5 r3c5 r2c4
- line, color: white, coords: r8c9 r9c8 r8c7 r8c6 r9c5 r8c4
- line, color: white, coords: r8c3 r8c2 r7c1 r6c2 r6c3
- line, color: white, coords: r5c2 r4c1 r3c2 r2c1 r1c2
- line, color: white, coords: r3c9 r4c8 r4c7 r4c6 r3c6 r2c6 r1c6 r1c7 r2c8 r3c9
- line, color: white, coords: r2c4 r3c3 r4c3 r4c4 r4c5 r3c5 r2c4
- shape: square, color: black, location: r8c8
- shape: square, color: black, location: r8c5
- shape: square, color: black, location: r7c2
- shape: square, color: black, location: r5c1
- shape: square, color: black, location: r2c2
- shape: square, color: black, location: r3c4
- shape: square, color: black, location: r3c8
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sxsm_Allagem_b1ac858c98cadd439d6f44c06dd1cc1e
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Granular Impurities
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Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
\nEach white line can be divided into one or more segments that each sum to 10.\nEach digit in a shaded cell is less than its orthogonally adjacent neighbors in unshaded cells (as indicated by the inequality symbols)."
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5 6 1 8 7 4 2 9 3
4 2 9 3 6 5 7 8 1
8 3 7 2 9 1 6 4 5
3 9 6 4 1 2 8 5 7
1 4 5 6 8 7 9 3 2
7 8 2 9 5 3 1 6 4
2 1 8 5 4 9 3 7 6
9 5 3 7 2 6 4 1 8
6 7 4 1 3 8 5 2 9
| 9 | 9 |
- inequality arrow: > between r8c8 and r8c9
- inequality arrow: < between r8c9 and r8c8
- inequality arrow: v between r8c8 and r9c8
- inequality arrow: ^ between r9c8 and r8c8
- inequality arrow: > between r8c5 and r8c6
- inequality arrow: < between r8c6 and r8c5
- inequality arrow: v between r8c5 and r9c5
- inequality arrow: ^ between r9c5 and r8c5
- inequality arrow: > between r7c2 and r7c3
- inequality arrow: < between r7c3 and r7c2
- inequality arrow: v between r7c2 and r8c2
- inequality arrow: ^ between r8c2 and r7c2
- inequality arrow: < between r5c2 and r5c1
- inequality arrow: v between r5c1 and r6c1
- inequality arrow: ^ between r6c1 and r5c1
- inequality arrow: > between r2c2 and r2c3
- inequality arrow: < between r2c3 and r2c2
- inequality arrow: v between r2c2 and r3c2
- inequality arrow: ^ between r3c2 and r2c2
- inequality arrow: > between r3c4 and r3c5
- inequality arrow: < between r3c5 and r3c4
- inequality arrow: v between r3c4 and r4c4
- inequality arrow: ^ between r4c4 and r3c4
- inequality arrow: > between r3c8 and r3c9
- inequality arrow: < between r3c9 and r3c8
- inequality arrow: v between r3c8 and r4c8
- inequality arrow: ^ between r4c8 and r3c8
- line, color: darkgray, coords: r8c9 r9c8 r8c7 r8c6 r9c5 r8c4
- line, color: darkgray, coords: r8c3 r8c2 r7c1 r6c2 r6c3
- line, color: darkgray, coords: r5c2 r4c1 r3c2 r2c1 r1c2
- line, color: darkgray, coords: r3c9 r4c8 r4c7 r4c6 r3c6 r2c6 r1c6 r1c7 r2c8 r3c9
- line, color: darkgray, coords: r2c4 r3c3 r4c3 r4c4 r4c5 r3c5 r2c4
- line, color: white, coords: r8c9 r9c8 r8c7 r8c6 r9c5 r8c4
- line, color: white, coords: r8c3 r8c2 r7c1 r6c2 r6c3
- line, color: white, coords: r5c2 r4c1 r3c2 r2c1 r1c2
- line, color: white, coords: r3c9 r4c8 r4c7 r4c6 r3c6 r2c6 r1c6 r1c7 r2c8 r3c9
- line, color: white, coords: r2c4 r3c3 r4c3 r4c4 r4c5 r3c5 r2c4
- shape: square, color: black, location: r8c8
- shape: square, color: black, location: r8c5
- shape: square, color: black, location: r7c2
- shape: square, color: black, location: r5c1
- shape: square, color: black, location: r2c2
- shape: square, color: black, location: r3c4
- shape: square, color: black, location: r3c8
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_57
|
.................................................................................
|
846213597935764128172985643287431956364859712591672834713526489629148375458397261
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
9x9
### Rules
"**Standard Sudoku, Cages, Modular Lines **\n\n- Standard sudoku rules apply: The digits 1 through 9 appear in every row, column, and box.\n- Modular lines: Any set of three adjacent digits along a modular line has three different remainders when divided by 3.\n- Cages: Digits in cages cannot repeat and must sum to the value shown in the upper left corner of the cage.\n\n\n"
### Visual Elements
- killer cage (value 11): r3c1 r4c1 r4c2
- killer cage (value 15): r7c7 r7c8 r8c7
- killer cage (value 17): r8c6 r9c6 r9c7
- killer cage (value 18): r8c8 r8c9 r9c8
- killer cage (value 16): r6c8 r6c9 r7c9
- killer cage (value 9): r5c1 r5c2
- killer cage (value 15): r1c3 r1c4 r2c4
- killer cage (value 14): r2c3 r3c2 r3c3
- killer cage (value 16): r1c2 r2c1 r2c2
- killer cage (value 13): r8c5 r9c5
- killer cage (value 21): r5c4 r6c4 r6c5
- killer cage (value 9): r6c3 r7c3 r7c4
- killer cage (value 20): r3c6 r3c7 r4c7
- killer cage (value 13): r4c5 r4c6 r5c6
- line, color: lightseagreen, coords: r5c1 r4c1 r3c1 r2c1 r1c1 r1c2 r1c3 r1c4 r1c5
- line, color: lightseagreen, coords: r5c2 r4c2 r3c2 r2c2 r2c3 r2c4 r2c5
- line, color: lightseagreen, coords: r9c5 r9c6 r9c7 r9c8 r9c9 r8c9 r7c9 r6c9 r5c9
- line, color: lightseagreen, coords: r8c5 r8c6 r8c7 r8c8 r7c8 r6c8 r5c8
- line, color: lightseagreen, coords: r3c6 r4c6 r4c7
- line, color: lightseagreen, coords: r6c3 r6c4 r7c4
- line, color: lightseagreen, coords: r4c5 r4c4 r5c4
- line, color: lightseagreen, coords: r6c5 r6c6 r5c6
- line, color: lightseagreen, coords: r7c3 r7c2 r8c2
- line, color: lightseagreen, coords: r3c7 r3c8 r2c8
|
fpuzzle5d31834ccdc129a1eaed4a2587d938fb
|
Transmission
|
"**Standard Sudoku, Cages, Modular Lines **\n\n- Standard sudoku rules apply: The digits 1 through 9 appear in every row, column, and box.\n- Modular lines: Any set of three adjacent digits along a modular line has three different remainders when divided by 3.\n- Cages: Digits in cages cannot repeat and must sum to the value shown in the upper left corner of the cage.\n\n\n"
|
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|
8 4 6 2 1 3 5 9 7
9 3 5 7 6 4 1 2 8
1 7 2 9 8 5 6 4 3
2 8 7 4 3 1 9 5 6
3 6 4 8 5 9 7 1 2
5 9 1 6 7 2 8 3 4
7 1 3 5 2 6 4 8 9
6 2 9 1 4 8 3 7 5
4 5 8 3 9 7 2 6 1
| 9 | 9 |
- killer cage (value 11): r3c1 r4c1 r4c2
- killer cage (value 15): r7c7 r7c8 r8c7
- killer cage (value 17): r8c6 r9c6 r9c7
- killer cage (value 18): r8c8 r8c9 r9c8
- killer cage (value 16): r6c8 r6c9 r7c9
- killer cage (value 9): r5c1 r5c2
- killer cage (value 15): r1c3 r1c4 r2c4
- killer cage (value 14): r2c3 r3c2 r3c3
- killer cage (value 16): r1c2 r2c1 r2c2
- killer cage (value 13): r8c5 r9c5
- killer cage (value 21): r5c4 r6c4 r6c5
- killer cage (value 9): r6c3 r7c3 r7c4
- killer cage (value 20): r3c6 r3c7 r4c7
- killer cage (value 13): r4c5 r4c6 r5c6
- line, color: lightseagreen, coords: r5c1 r4c1 r3c1 r2c1 r1c1 r1c2 r1c3 r1c4 r1c5
- line, color: lightseagreen, coords: r5c2 r4c2 r3c2 r2c2 r2c3 r2c4 r2c5
- line, color: lightseagreen, coords: r9c5 r9c6 r9c7 r9c8 r9c9 r8c9 r7c9 r6c9 r5c9
- line, color: lightseagreen, coords: r8c5 r8c6 r8c7 r8c8 r7c8 r6c8 r5c8
- line, color: lightseagreen, coords: r3c6 r4c6 r4c7
- line, color: lightseagreen, coords: r6c3 r6c4 r7c4
- line, color: lightseagreen, coords: r4c5 r4c4 r5c4
- line, color: lightseagreen, coords: r6c5 r6c6 r5c6
- line, color: lightseagreen, coords: r7c3 r7c2 r8c2
- line, color: lightseagreen, coords: r3c7 r3c8 r2c8
|
fpuzN4IgzglgXgpiBcBOANCALhNAbO8QBUAnAQwDswBbCMSAe1JFWIFc0ALWwhEAMWaywARGAGMA1gAIyAEwkBZapFIBzKRJ4wA7hIDCxQtLCMQhfjDAw03AFTWAymhn7Zd5tNpjmyXcWXnvcrTS%2FPoSADIQpOYStgA6pPEAtBIOTgYSYG4ezBKmOGBSAA6FWACe8BL4bDAS0hDKmAUAjBLshLTMymwSiEWFMKGREjAAbjCEpbm0mt4itFjMFKTeMhIARrQAHgB0SfJBIYQSWJHmFQCCpJMWaBK0AGatbIQwNcTSAFbEIjCkt3UNNAFYhYeiqYgSCgHLChE5RCRsYgFNqvWoQe73ca%2FW4vCjESLScYFTTVUhokYQQmyNaTADMu1IyT0fjAFUE9UaEiGIl80R5pFItBxMH6xFuqwozDAt0yFFatCeNRGIOYNTAHE0ZKG7BqzGK42OMHutzmhCiRweiokPL8DPi8WMykIlIQAG1XaBlQtcAAOAC%2ByE9KtwABYA0HvQgAGzhkBe1UIABMsfjuCaKeDCFpGcj8AArDmE0hC7gAOx%2BgC6yA9cczxcDtdz2YbqYQBZbdfLHdzMe7RbDfbTJaTw%2Fg%2FqrNdb8HTg4QXYjReTs%2FrC99o%2Fbq%2Bjo4Hm%2Fg2Ynu6Xu%2F9y%2Fnjf7o%2Bbu5nu8Q69HMYP59wV%2BfW%2BXO7fY%2Fvy7vp9HN5fsmT5ThuX5%2FteD6jmeU5Hl%2BJ67q%2BU5hiBnYAZeP6HlBH6jgh4GVtWu69lhv7oThy54VOSFocuBaobmn6gbhGGkf%2By5wVOxFfumFZViAULBDChBwrgNYiUY8DuiAABKeY6E0xjSSG8mKbSKmoNJibqTJTTadJumJopum0kZOghqZeYgLxsbiW6royXJhkacpTkyWprmaToHlaSZGlaeZfk6JZ1kNrZkn2dJiBBYpUVRjFOilvFPrxYgik%2BjoqUaaWGWKVGOUaXJqUhaAYVSdJ6WWRp6VxVVCVpToyVZQ1uXNQVzXFSApURWpNUycpvVKXVHVdTJeW%2BaNZmKdl5nDacEllcplV9ZNbUzRWNlzXZE1LdJeUDXJcWzVE80Rdl43SdlHnpYZR3mFt0lqYlGlqY1Mlacl1l8WIEACOMNqiaAPwCPNbl6cpCnOV5VmoFOIBNApsZA1gIMXXVTWveVQ0w3WcOWYjMDA26MnVfFA1RYlfGw00iX44TknE61DOZTJUUfdjuZw8ltPI0Tu2M3zzOo0V7NFnDcXcyjckQw5UOUzjqUS7zxmmQFb2TXLHNNHjDZIyjPmqVDz06CZGui005mK%2FT%2BmG2r0ueTdIu4GLICWxFFXxcFjvcE0JmuzLqt8wHeWe1%2BICJgjOsEzzVtjVNxtxzNXt4Arkd091OgDY9inKRTSdhwADC7qfRxFi3ZxnikHdDoc%2By7fEiW6JWbeFMt2%2BDBt21pdu6d3NvW%2BdukB7pwV8R02CnDo3AAMS0rSABCC9z8YmiUuwCD59sWtRomeaoPc7QUDo9DSiQkRWHggSCaEERREXTfHfdjnlx57mKVp3nx4FAdaSPqBjyJk88Az3novZeq82Dr03nmbeu8QD71oIfY%2BaBT5%2FG4JfQ44RTh306s3MqUUdqxXik9Fm%2FMoqC3SoLbKgs8qC0KlZUerAAHT1novJeqAV7SDXvADeW8d57wPkfcgyD8SoIvtCa%2BWCNoPxbpjHaJNarEMxhjbKGM8oYzkh9Bh48oiAJAMA1hYDOEQO4VAmB%2FCEGCJPiI8%2BIB0FCUwbfKRd0ZE9XLgNHO9C%2F6MInswkBC9DFcJ4dAvhcCBFIJQTYuxEjHGhVwRFWOGk8oB2mp4kA%2F8fFAJYaA9h4DIG8NgfAxBQiIloPEUcG%2BcAnEnWWjtZSAc5JrS8domAuj9HZJABwwJpiQmFMscIs%2BpSr7lMkbE6RZVg4tX2hXXiTSmGZL8WwjpuSTH5PMUUqxAyxFDIcZU0ZziypnTjldWWWi5l6Kyf4nJRi8nBIKWE4p1jBkYIqdgkaD00agwxu9VJ6SdG%2BIMVcrpqzQkWPCY8rZzzJHrSAA%3D%3D%3D
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_58
|
.................................................................................
|
396257481172438659854961273728346915641895327539712864263179548487523196915684732
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
9x9
### Rules
"Standard sudoku rules apply: each row, column, and 3x3 box must contain all the digits from 1 to 9.\nDigits separated by a white dot must be consecutive.\nDigits separated by a black dot must be in a 2:1 ratio. Not all dots are necessarily given.\nAdjacent digits on a green line must differ by at least 5.\nBox borders separate blue lines into segments. Digits on each segment of the same line sum to the same value. Different lines may have different segment sums."
### Visual Elements
- line, color: deepskyblue, coords: r1c3 r1c4 r2c5 r3c6 r2c7
- line, color: deepskyblue, coords: r9c7 r9c6 r8c5 r7c4 r8c3
- line, color: deepskyblue, coords: r3c3 r3c4 r4c5 r5c6 r4c7 r3c7 r3c8 r4c8 r5c8 r6c8 r7c8 r7c7 r7c6 r6c5 r5c4 r6c3 r7c3 r7c2 r6c2 r5c2 r4c2 r3c2 r3c3
- line, color: lightgreen, coords: r5c3 r4c3 r4c4 r5c5 r6c6 r6c7 r5c7
- line, color: lightgreen, coords: r1c9 r2c9
- line, color: lightgreen, coords: r8c1 r9c1
- shape: circle, color: white (stroke color: black), location: between r4c8 and r5c8
- shape: circle, color: white (stroke color: black), location: between r5c2 and r6c2
- shape: circle, color: white (stroke color: black), location: between r3c1 and r4c1
- shape: circle, color: black, location: between r6c9 and r7c9
|
sxsm_EPH_da66231da7633da5d6cb1606639e17b6
|
N is for Naughty and Nice
|
"Standard sudoku rules apply: each row, column, and 3x3 box must contain all the digits from 1 to 9.\nDigits separated by a white dot must be consecutive.\nDigits separated by a black dot must be in a 2:1 ratio. Not all dots are necessarily given.\nAdjacent digits on a green line must differ by at least 5.\nBox borders separate blue lines into segments. Digits on each segment of the same line sum to the same value. Different lines may have different segment sums."
|
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3 9 6 2 5 7 4 8 1
1 7 2 4 3 8 6 5 9
8 5 4 9 6 1 2 7 3
7 2 8 3 4 6 9 1 5
6 4 1 8 9 5 3 2 7
5 3 9 7 1 2 8 6 4
2 6 3 1 7 9 5 4 8
4 8 7 5 2 3 1 9 6
9 1 5 6 8 4 7 3 2
| 9 | 9 |
- line, color: deepskyblue, coords: r1c3 r1c4 r2c5 r3c6 r2c7
- line, color: deepskyblue, coords: r9c7 r9c6 r8c5 r7c4 r8c3
- line, color: deepskyblue, coords: r3c3 r3c4 r4c5 r5c6 r4c7 r3c7 r3c8 r4c8 r5c8 r6c8 r7c8 r7c7 r7c6 r6c5 r5c4 r6c3 r7c3 r7c2 r6c2 r5c2 r4c2 r3c2 r3c3
- line, color: lightgreen, coords: r5c3 r4c3 r4c4 r5c5 r6c6 r6c7 r5c7
- line, color: lightgreen, coords: r1c9 r2c9
- line, color: lightgreen, coords: r8c1 r9c1
- shape: circle, color: white (stroke color: black), location: between r4c8 and r5c8
- shape: circle, color: white (stroke color: black), location: between r5c2 and r6c2
- shape: circle, color: white (stroke color: black), location: between r3c1 and r4c1
- shape: circle, color: black, location: between r6c9 and r7c9
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_59
|
.................................................................................
|
973268541465371982821945673396482715782153496514697238659834127148726359237519864
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
9x9
### Rules
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
\n\nAscending Starters: A clue outside the grid specifies the sum of the first run of ascending digits from the position of the clue (i.e. the sum from the first digit encountered until digits are no longer ascending). This may be only a single digit.\n\nMagic Sigils: Within each 3x3 box, straight magenta line segments have the same sum."
### Visual Elements
- line, color: deeppink, coords: r7c6 r7c5 r7c4 r8c4 r8c5 r8c6 r9c6 r9c5 r9c4
- line, color: deeppink, coords: r3c4 r2c4 r1c4 r2c5 r3c6 r2c6 r1c6
- line, color: deeppink, coords: r4c9 r4c8 r4c7 r5c7 r6c7 r6c8 r6c9
- line, color: deeppink, coords: r5c8 r5c7
- line, color: deeppink, coords: r5c2 r6c3 r5c3 r4c3
- line, color: deeppink, coords: r5c1 r6c1
- text: 15, shape: square, location: r10c5
- text: 15, shape: square, location: r5c10
- text: 15, shape: square, location: r5c0
- text: 13, shape: square, location: r0c5
- text: 25, shape: square, location: r0c9
- text: 10, shape: square, location: r2c0
- text: 27, shape: square, location: r9c10
- text: 24, shape: square, location: r10c3
|
fpuzzlef08d5d8ef6f0c7d63b4165a86f8c5614
|
Mountaineering
|
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
\n\nAscending Starters: A clue outside the grid specifies the sum of the first run of ascending digits from the position of the clue (i.e. the sum from the first digit encountered until digits are no longer ascending). This may be only a single digit.\n\nMagic Sigils: Within each 3x3 box, straight magenta line segments have the same sum."
|
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
|
9 7 3 2 6 8 5 4 1
4 6 5 3 7 1 9 8 2
8 2 1 9 4 5 6 7 3
3 9 6 4 8 2 7 1 5
7 8 2 1 5 3 4 9 6
5 1 4 6 9 7 2 3 8
6 5 9 8 3 4 1 2 7
1 4 8 7 2 6 3 5 9
2 3 7 5 1 9 8 6 4
| 9 | 9 |
- line, color: deeppink, coords: r7c6 r7c5 r7c4 r8c4 r8c5 r8c6 r9c6 r9c5 r9c4
- line, color: deeppink, coords: r3c4 r2c4 r1c4 r2c5 r3c6 r2c6 r1c6
- line, color: deeppink, coords: r4c9 r4c8 r4c7 r5c7 r6c7 r6c8 r6c9
- line, color: deeppink, coords: r5c8 r5c7
- line, color: deeppink, coords: r5c2 r6c3 r5c3 r4c3
- line, color: deeppink, coords: r5c1 r6c1
- text: 15, shape: square, location: r10c5
- text: 15, shape: square, location: r5c10
- text: 15, shape: square, location: r5c0
- text: 13, shape: square, location: r0c5
- text: 25, shape: square, location: r0c9
- text: 10, shape: square, location: r2c0
- text: 27, shape: square, location: r9c10
- text: 24, shape: square, location: r10c3
|
fpuzN4IgzglgXgpiBcBOANCALhNAbO8QFkB7AVwDs0BDCUmGAJ2oHMRULi0ALQuhEAZT4BxFiDrEcYGGl4A5bgFsKWAARhiAE0IBrYsrETlFAA5GsATwB0AHVI2AgmADGMUuqbK%2BlOmnph4yu2VHLGIYZRI0SHUwzjDGBnVVIxhHCAAzCBgwZVjVYnlwtJyOMIy6MDQ9MkLDJxc3UkZlN0ZMbLS6QgLco0JIDEJSGtzg0OUACggLGAtisLUCjq655TKK5ohWypdHEnJ6GESyDBUWtsM6MNJCZSxBxnpa51cmAEpZgBUOCGzFM2UAEZhQbmQyqJg4DZbay2Uj4CitRweTYQLB%2BZQAdUw3yGMAojg4ygAzAAPImAwgk5CqNB0KiMDiVRQPcgUW7UeYwRjyFyRZQcCgANxiJVUFB5eXkFhE8Qg6gQAG0FcAAL7IVXqtUa7Va3WagC6yGVep1mrNptVhuN5pNtptVotdsdBqNzrdtodTq99td3vdLut%2FvdnptoeDhvQMBJ0ngypAziwaMVIAASgBGAAMAGEAKwgCOCpShXhpvOoNKDNBZ3gAYgz9YbIkgsAQGYsAHYtfGYImwMmUzms5n86hCyFcCBSyIK%2BRq3g6w3603oLg2531d3e%2F3BxmRyAx8W8FPy5W5yAF4vly34Guuwmk7HU9m8wWixO00Tp6fa4ul6hm6uHZ3j2D4Kk%2BWaIHuB4TgATGWIAzlWP6%2FlegHrqA959o%2BKYwVmu6vuOJa7ies7IZe%2F4rq2QEbph%2FaIEO%2BGjm%2BvAwe2X6kfOv7EeAlE3tRGEgVhYHptmn4EYeIAwQALOxSGcShFHXreEZYByiqgKpNBCcJ7ZZgAbCIKa6fBRlZjJqApgAHGZhnWSZ1kGRZ9GOam9EmfRMn6hGESaTAZ41gAonpaYAGKIAAQiIADucqcFRRJdr52mpkSNkWbh5mpmmaWprhJmpS5OH6YZ2UGV5qA%2BRy%2FlBaFEXRbFHDxYlHLJSmUkQYZ7WWZ1WZsRZg59amem9YZw3dRZw2QeVICVTQ1XBWFkWoDF6hxXxCUbklirCYO42pgN%2BbeewvnzbVS0gCta1thtGktdt%2B1ZjBo1Zp%2B%2FUvT1YlHdgVW1jVi31atjXrc1Wn3QOQ7PWmh0VcdP3zn9dXLQ1TURmAhAhAMpCKig7bIESyAwcgenIJZyA5sgUnIGmFNE2TePILj1MoKThMs1TyAoJT5PE7j%2BP4ygxOU2zjN07jbPU%2BT%2BOUwLdPU5TxM4wT9Ok8T5PM%2FTlPU4TItCwzSvE%2FjatK%2FjuPk0zJO01J%2BoqkAA%3D
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_60
|
.................................................................................
|
189426537327519684645387921413978256876253149952641378531894762768132495294765813
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
9x9
### Rules
"- Sudoku: Place the digits 1-9 into each row, column and outlined 3x3 box without repeats.\n- Arrow: Digits on an arrow sum to the digit in that arrow's circle.\n- Thermometer: Digits along a thermometer strictly increase, starting from the bulb end.\n- Anti-Knight: Digits that are a knight's move apart cannot be identical anywhere in the grid."
### Visual Elements
- line, color: lightgray, coords: r8c7 r9c6 r9c5 r9c4 r8c3
- line, color: lightgray, coords: r6c5 r5c5 r4c5 r3c5
- arrow, color: darkgray, coords (base to tip): r6c1 r7c1 r7c2 r7c3
- arrow, color: darkgray, coords (base to tip): r6c9 r7c9 r7c8
- arrow, color: darkgray, coords (base to tip): r3c7 r4c6 r5c7
- arrow, color: darkgray, coords (base to tip): r1c6 r2c7
- shape: circle, color: lightgray, location: r8c7
- shape: circle, color: lightgray, location: r6c5
- shape: circle, color: white (stroke color: darkgray), location: r6c1
- shape: circle, color: white (stroke color: darkgray), location: r6c9
- shape: circle, color: white (stroke color: darkgray), location: r3c7
- shape: circle, color: white (stroke color: darkgray), location: r1c6
|
sxsm_Niverio_3d03260056e3fe88b9da74f326df2488
|
Nostalgia
|
"- Sudoku: Place the digits 1-9 into each row, column and outlined 3x3 box without repeats.\n- Arrow: Digits on an arrow sum to the digit in that arrow's circle.\n- Thermometer: Digits along a thermometer strictly increase, starting from the bulb end.\n- Anti-Knight: Digits that are a knight's move apart cannot be identical anywhere in the grid."
|
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
|
1 8 9 4 2 6 5 3 7
3 2 7 5 1 9 6 8 4
6 4 5 3 8 7 9 2 1
4 1 3 9 7 8 2 5 6
8 7 6 2 5 3 1 4 9
9 5 2 6 4 1 3 7 8
5 3 1 8 9 4 7 6 2
7 6 8 1 3 2 4 9 5
2 9 4 7 6 5 8 1 3
| 9 | 9 |
- line, color: lightgray, coords: r8c7 r9c6 r9c5 r9c4 r8c3
- line, color: lightgray, coords: r6c5 r5c5 r4c5 r3c5
- arrow, color: darkgray, coords (base to tip): r6c1 r7c1 r7c2 r7c3
- arrow, color: darkgray, coords (base to tip): r6c9 r7c9 r7c8
- arrow, color: darkgray, coords (base to tip): r3c7 r4c6 r5c7
- arrow, color: darkgray, coords (base to tip): r1c6 r2c7
- shape: circle, color: lightgray, location: r8c7
- shape: circle, color: lightgray, location: r6c5
- shape: circle, color: white (stroke color: darkgray), location: r6c1
- shape: circle, color: white (stroke color: darkgray), location: r6c9
- shape: circle, color: white (stroke color: darkgray), location: r3c7
- shape: circle, color: white (stroke color: darkgray), location: r1c6
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_61
|
.................................................................................
|
938241657714569238526837914149625783382794561657183492473916825291458376865372149
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
9x9
### Rules
"Sudoku: Fill every row, column and marked 3x3 box with the digits 1-9.\n\nNosferatu: Nine cells in the grid are Nosferatu cells. They have to be filled with one complete set of the digits from 1-9. Each row, column and marked 3x3 box contains exactly one Nosferatu cell. \nThere also are nine Prey cells following the same rules as the Nosferatu cells. A cell can only have one of these roles. \nThe values of all Prey cells are 0. The value of a Nosferatu cell is the sum of the digits in the Nosferatu cell and the Prey cell in the same marked 3x3 box.\n\nArrow: The values along an arrow have to add up to the value in the attached circle."
### Visual Elements
- arrow, color: darkgray, coords (base to tip): r3c6 r2c7 r1c7 r1c8 r2c8
- arrow, color: darkgray, coords (base to tip): r3c4 r2c3 r1c3 r1c2 r2c2
- arrow, color: darkgray, coords (base to tip): r3c4 r2c5 r1c4
- arrow, color: darkgray, coords (base to tip): r4c5 r3c5
- arrow, color: darkgray, coords (base to tip): r9c9 r9c8 r9c7 r9c6
- arrow, color: darkgray, coords (base to tip): r9c1 r9c2 r9c3 r9c4
- arrow, color: darkgray, coords (base to tip): r6c5 r7c5 r8c5 r9c5
- arrow, color: darkgray, coords (base to tip): r4c3 r3c2 r2c1
- arrow, color: darkgray, coords (base to tip): r5c8 r4c7 r3c8 r2c9
- arrow, color: darkgray, coords (base to tip): r5c6 r6c7 r7c8
- shape: circle, color: white (stroke color: darkgray), location: r3c6
- shape: circle, color: white (stroke color: darkgray), location: r3c4
- shape: circle, color: white (stroke color: darkgray), location: r4c5
- shape: circle, color: white (stroke color: darkgray), location: r9c9
- shape: circle, color: white (stroke color: darkgray), location: r9c1
- shape: circle, color: white (stroke color: darkgray), location: r6c5
- shape: circle, color: white (stroke color: darkgray), location: r4c3
- shape: circle, color: white (stroke color: darkgray), location: r5c8
- shape: circle, color: white (stroke color: darkgray), location: r5c6
|
sxsm_MadTyas_20fcdfd798400624d3dcec0d011a7f2e
|
Nosferatu Crossfire
|
"Sudoku: Fill every row, column and marked 3x3 box with the digits 1-9.\n\nNosferatu: Nine cells in the grid are Nosferatu cells. They have to be filled with one complete set of the digits from 1-9. Each row, column and marked 3x3 box contains exactly one Nosferatu cell. \nThere also are nine Prey cells following the same rules as the Nosferatu cells. A cell can only have one of these roles. \nThe values of all Prey cells are 0. The value of a Nosferatu cell is the sum of the digits in the Nosferatu cell and the Prey cell in the same marked 3x3 box.\n\nArrow: The values along an arrow have to add up to the value in the attached circle."
|
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. . . . . . . . .
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|
9 3 8 2 4 1 6 5 7
7 1 4 5 6 9 2 3 8
5 2 6 8 3 7 9 1 4
1 4 9 6 2 5 7 8 3
3 8 2 7 9 4 5 6 1
6 5 7 1 8 3 4 9 2
4 7 3 9 1 6 8 2 5
2 9 1 4 5 8 3 7 6
8 6 5 3 7 2 1 4 9
| 9 | 9 |
- arrow, color: darkgray, coords (base to tip): r3c6 r2c7 r1c7 r1c8 r2c8
- arrow, color: darkgray, coords (base to tip): r3c4 r2c3 r1c3 r1c2 r2c2
- arrow, color: darkgray, coords (base to tip): r3c4 r2c5 r1c4
- arrow, color: darkgray, coords (base to tip): r4c5 r3c5
- arrow, color: darkgray, coords (base to tip): r9c9 r9c8 r9c7 r9c6
- arrow, color: darkgray, coords (base to tip): r9c1 r9c2 r9c3 r9c4
- arrow, color: darkgray, coords (base to tip): r6c5 r7c5 r8c5 r9c5
- arrow, color: darkgray, coords (base to tip): r4c3 r3c2 r2c1
- arrow, color: darkgray, coords (base to tip): r5c8 r4c7 r3c8 r2c9
- arrow, color: darkgray, coords (base to tip): r5c6 r6c7 r7c8
- shape: circle, color: white (stroke color: darkgray), location: r3c6
- shape: circle, color: white (stroke color: darkgray), location: r3c4
- shape: circle, color: white (stroke color: darkgray), location: r4c5
- shape: circle, color: white (stroke color: darkgray), location: r9c9
- shape: circle, color: white (stroke color: darkgray), location: r9c1
- shape: circle, color: white (stroke color: darkgray), location: r6c5
- shape: circle, color: white (stroke color: darkgray), location: r4c3
- shape: circle, color: white (stroke color: darkgray), location: r5c8
- shape: circle, color: white (stroke color: darkgray), location: r5c6
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_62
|
.................................................................................
|
978421365315968472624753981297845613581639724436217859843172596159386247762594138
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
9x9
### Rules
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
\nCells connected by an X must sum to 10.\nCells connected by an V must sum to 5.\nThe green dots are either X or V\nAll X's and V's are given.\nCells connected by an blue square must sum to 7.\nAll blue squares are given."
### Visual Elements
- shape: square, color: aqua (stroke color: black), location: between r1c9 and r2c9
- shape: square, color: aqua (stroke color: black), location: between r1c7 and r2c7
- shape: square, color: aqua (stroke color: black), location: between r4c7 and r4c8
- shape: square, color: aqua (stroke color: black), location: between r4c1 and r5c1
- shape: square, color: aqua (stroke color: black), location: between r5c3 and r5c4
- shape: square, color: aqua (stroke color: black), location: between r4c9 and r5c9
- shape: square, color: aqua (stroke color: black), location: between r6c1 and r6c2
- shape: square, color: aqua (stroke color: black), location: between r5c3 and r6c3
- shape: square, color: aqua (stroke color: black), location: between r7c2 and r7c3
- shape: square, color: aqua (stroke color: black), location: between r6c2 and r7c2
- shape: square, color: aqua (stroke color: black), location: between r7c6 and r7c7
- shape: square, color: aqua (stroke color: black), location: between r8c8 and r9c8
- shape: square, color: aqua (stroke color: black), location: between r7c7 and r8c7
- shape: square, color: aqua (stroke color: black), location: between r9c3 and r9c4
- shape: square, color: aqua (stroke color: black), location: between r5c8 and r6c8
- shape: square, color: aqua (stroke color: black), location: between r4c5 and r5c5
- shape: circle, color: limegreen (stroke color: black), location: between r8c6 and r9c6
- shape: circle, color: limegreen (stroke color: black), location: between r9c6 and r9c7
|
fpuzzle1af29b63a089b89a8e0fee8c362d5919
|
Stolen Numerals XVII-5
|
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
\nCells connected by an X must sum to 10.\nCells connected by an V must sum to 5.\nThe green dots are either X or V\nAll X's and V's are given.\nCells connected by an blue square must sum to 7.\nAll blue squares are given."
|
. . . . . . . . .
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. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
|
9 7 8 4 2 1 3 6 5
3 1 5 9 6 8 4 7 2
6 2 4 7 5 3 9 8 1
2 9 7 8 4 5 6 1 3
5 8 1 6 3 9 7 2 4
4 3 6 2 1 7 8 5 9
8 4 3 1 7 2 5 9 6
1 5 9 3 8 6 2 4 7
7 6 2 5 9 4 1 3 8
| 9 | 9 |
- shape: square, color: aqua (stroke color: black), location: between r1c9 and r2c9
- shape: square, color: aqua (stroke color: black), location: between r1c7 and r2c7
- shape: square, color: aqua (stroke color: black), location: between r4c7 and r4c8
- shape: square, color: aqua (stroke color: black), location: between r4c1 and r5c1
- shape: square, color: aqua (stroke color: black), location: between r5c3 and r5c4
- shape: square, color: aqua (stroke color: black), location: between r4c9 and r5c9
- shape: square, color: aqua (stroke color: black), location: between r6c1 and r6c2
- shape: square, color: aqua (stroke color: black), location: between r5c3 and r6c3
- shape: square, color: aqua (stroke color: black), location: between r7c2 and r7c3
- shape: square, color: aqua (stroke color: black), location: between r6c2 and r7c2
- shape: square, color: aqua (stroke color: black), location: between r7c6 and r7c7
- shape: square, color: aqua (stroke color: black), location: between r8c8 and r9c8
- shape: square, color: aqua (stroke color: black), location: between r7c7 and r8c7
- shape: square, color: aqua (stroke color: black), location: between r9c3 and r9c4
- shape: square, color: aqua (stroke color: black), location: between r5c8 and r6c8
- shape: square, color: aqua (stroke color: black), location: between r4c5 and r5c5
- shape: circle, color: limegreen (stroke color: black), location: between r8c6 and r9c6
- shape: circle, color: limegreen (stroke color: black), location: between r9c6 and r9c7
|
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=
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_63
|
.................................................................................
|
763914285928765431145382976451628397297453618836197542314276859572839164689541723
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
9x9
### Rules
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
\n\n-Arrows: Digits on an arrow must sum to the digit in the corresponding circle and may repeat if allowed by other rules.\n\n-Grey square must contain even digit."
### Visual Elements
- arrow, color: darkgray, coords (base to tip): r2c1 r3c2 r4c3 r5c4
- arrow, color: darkgray, coords (base to tip): r2c3 r3c4 r4c5 r5c6
- arrow, color: darkgray, coords (base to tip): r2c5 r3c6 r4c7 r5c8
- arrow, color: darkgray, coords (base to tip): r1c6 r2c7
- arrow, color: darkgray, coords (base to tip): r3c8 r4c9
- arrow, color: darkgray, coords (base to tip): r6c1 r7c2 r8c3 r9c4
- arrow, color: darkgray, coords (base to tip): r6c3 r7c4 r8c5 r9c6
- arrow, color: darkgray, coords (base to tip): r6c5 r7c6 r8c7 r9c8
- arrow, color: darkgray, coords (base to tip): r6c7 r7c8
- arrow, color: darkgray, coords (base to tip): r7c9 r8c8 r9c9
- shape: square, color: black, location: r6c9
- shape: circle, color: white (stroke color: darkgray), location: r2c1
- shape: circle, color: white (stroke color: darkgray), location: r2c3
- shape: circle, color: white (stroke color: darkgray), location: r2c5
- shape: circle, color: white (stroke color: darkgray), location: r1c6
- shape: circle, color: white (stroke color: darkgray), location: r3c8
- shape: circle, color: white (stroke color: darkgray), location: r6c1
- shape: circle, color: white (stroke color: darkgray), location: r6c3
- shape: circle, color: white (stroke color: darkgray), location: r6c5
- shape: circle, color: white (stroke color: darkgray), location: r6c7
- shape: circle, color: white (stroke color: darkgray), location: r7c9
|
sxsm_SXH_d6a9b29f6664c8e153f23c6351422a2d
|
Northwest Wind
|
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
\n\n-Arrows: Digits on an arrow must sum to the digit in the corresponding circle and may repeat if allowed by other rules.\n\n-Grey square must contain even digit."
|
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|
7 6 3 9 1 4 2 8 5
9 2 8 7 6 5 4 3 1
1 4 5 3 8 2 9 7 6
4 5 1 6 2 8 3 9 7
2 9 7 4 5 3 6 1 8
8 3 6 1 9 7 5 4 2
3 1 4 2 7 6 8 5 9
5 7 2 8 3 9 1 6 4
6 8 9 5 4 1 7 2 3
| 9 | 9 |
- arrow, color: darkgray, coords (base to tip): r2c1 r3c2 r4c3 r5c4
- arrow, color: darkgray, coords (base to tip): r2c3 r3c4 r4c5 r5c6
- arrow, color: darkgray, coords (base to tip): r2c5 r3c6 r4c7 r5c8
- arrow, color: darkgray, coords (base to tip): r1c6 r2c7
- arrow, color: darkgray, coords (base to tip): r3c8 r4c9
- arrow, color: darkgray, coords (base to tip): r6c1 r7c2 r8c3 r9c4
- arrow, color: darkgray, coords (base to tip): r6c3 r7c4 r8c5 r9c6
- arrow, color: darkgray, coords (base to tip): r6c5 r7c6 r8c7 r9c8
- arrow, color: darkgray, coords (base to tip): r6c7 r7c8
- arrow, color: darkgray, coords (base to tip): r7c9 r8c8 r9c9
- shape: square, color: black, location: r6c9
- shape: circle, color: white (stroke color: darkgray), location: r2c1
- shape: circle, color: white (stroke color: darkgray), location: r2c3
- shape: circle, color: white (stroke color: darkgray), location: r2c5
- shape: circle, color: white (stroke color: darkgray), location: r1c6
- shape: circle, color: white (stroke color: darkgray), location: r3c8
- shape: circle, color: white (stroke color: darkgray), location: r6c1
- shape: circle, color: white (stroke color: darkgray), location: r6c3
- shape: circle, color: white (stroke color: darkgray), location: r6c5
- shape: circle, color: white (stroke color: darkgray), location: r6c7
- shape: circle, color: white (stroke color: darkgray), location: r7c9
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_64
|
.................................................................................
|
826475931739621584514389627162934758387256419495817263251748396648593172973162845
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
9x9
### Rules
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
\nKiller cage: Digits in a cage sum to the number in the top left corner of the cage, if given. Digits cannot repeat in a cage. \nThe yellow circles contain odd digits. The yellow squares contain even digits."
### Visual Elements
- killer cage (value 22): r8c1 r9c1 r9c2
- killer cage (value 22): r5c2 r6c2 r7c2
- killer cage (value 22): r8c3 r8c4 r8c5
- killer cage (value 8): r1c8 r1c9 r2c9
- killer cage (value 8): r2c5 r2c6 r2c7
- killer cage (value 8): r3c8 r4c8 r5c8
- killer cage (value 20): r6c3 r6c4 r7c4
- killer cage (value 20): r3c6 r4c6 r4c7
- killer cage (value 10): r1c3 r1c4
- killer cage (value 10): r9c6 r9c7
- killer cage: r2c1 r2c2 r3c1 r4c1
- killer cage: r6c9 r7c9 r8c8 r8c9
- shape: circle, color: greenyellow, location: r4c1
- shape: circle, color: greenyellow, location: r2c2
- shape: circle, color: greenyellow, location: r1c6
- shape: circle, color: greenyellow, location: r9c4
- shape: circle, color: greenyellow, location: r8c8
- shape: circle, color: greenyellow, location: r6c9
- shape: square, color: greenyellow, location: r6c4
- shape: square, color: greenyellow, location: r5c4
- shape: square, color: greenyellow, location: r4c6
- shape: square, color: greenyellow, location: r5c6
|
sxsm_bellsita_4f473dd679d17b8b7f54ce5fad21a8b5
|
Uraninite
|
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
\nKiller cage: Digits in a cage sum to the number in the top left corner of the cage, if given. Digits cannot repeat in a cage. \nThe yellow circles contain odd digits. The yellow squares contain even digits."
|
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. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
|
8 2 6 4 7 5 9 3 1
7 3 9 6 2 1 5 8 4
5 1 4 3 8 9 6 2 7
1 6 2 9 3 4 7 5 8
3 8 7 2 5 6 4 1 9
4 9 5 8 1 7 2 6 3
2 5 1 7 4 8 3 9 6
6 4 8 5 9 3 1 7 2
9 7 3 1 6 2 8 4 5
| 9 | 9 |
- killer cage (value 22): r8c1 r9c1 r9c2
- killer cage (value 22): r5c2 r6c2 r7c2
- killer cage (value 22): r8c3 r8c4 r8c5
- killer cage (value 8): r1c8 r1c9 r2c9
- killer cage (value 8): r2c5 r2c6 r2c7
- killer cage (value 8): r3c8 r4c8 r5c8
- killer cage (value 20): r6c3 r6c4 r7c4
- killer cage (value 20): r3c6 r4c6 r4c7
- killer cage (value 10): r1c3 r1c4
- killer cage (value 10): r9c6 r9c7
- killer cage: r2c1 r2c2 r3c1 r4c1
- killer cage: r6c9 r7c9 r8c8 r8c9
- shape: circle, color: greenyellow, location: r4c1
- shape: circle, color: greenyellow, location: r2c2
- shape: circle, color: greenyellow, location: r1c6
- shape: circle, color: greenyellow, location: r9c4
- shape: circle, color: greenyellow, location: r8c8
- shape: circle, color: greenyellow, location: r6c9
- shape: square, color: greenyellow, location: r6c4
- shape: square, color: greenyellow, location: r5c4
- shape: square, color: greenyellow, location: r4c6
- shape: square, color: greenyellow, location: r5c6
|
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=
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_65
|
.................................................................................
|
932416587856927413714538269193845672625791834487263195349182756568374921271659348
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
9x9
### Rules
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
\nAdjacent digits along an orange Dutch whisper line must have a difference of at least 4.\nGrey sequence lines contain digits in order, with the same difference between each adjacent pair. e.g. 1-4-7, 2-3-4 or 5-7-9.\nDigits along a purple lockout line must not be between the values of the diamond endpoints, which have a difference of at least 4.\nDigits along an arrow sum to the digit in the circle.\nDigits in cages sum to the clue given in the corner of the cage.\nCells separated by a grey dot are either consecutive or in a 1:2 ratio (or both)."
### Visual Elements
- killer cage (value 11): r1c4 r1c5 r1c6
- killer cage (value 13): r8c9 r9c8 r9c9
- line, color: darkgray, coords: r5c4 r5c3 r4c3
- line, color: darkgray, coords: r3c1 r2c2 r1c2
- line, color: darkorange, coords: r4c3 r5c4
- line, color: darkorange, coords: r6c3 r7c4 r6c5 r7c6 r7c7 r6c7
- line, color: darkorange, coords: r8c6 r8c7 r7c8 r6c8 r5c8 r4c8 r3c7 r3c6 r3c5 r4c4 r3c3 r4c2 r5c2 r6c2 r7c2 r8c3 r8c4 r7c5 r8c6
- line, color: darkorange, coords: r4c6 r5c5 r5c6 r4c6
- line, color: mediumpurple, coords: r3c6 r2c5 r1c5 r2c4 r3c3
- line, color: mediumpurple, coords: r9c3 r9c2 r8c1
- arrow, color: dimgray, coords (base to tip): r2c4 r2c5 r2c6
- shape: diamond, color: lavender (stroke color: indigo), location: r3c6
- shape: diamond, color: lavender (stroke color: indigo), location: r3c3
- shape: diamond, color: lavender (stroke color: indigo), location: r9c3
- shape: diamond, color: lavender (stroke color: indigo), location: r8c1
- shape: circle, color: white (stroke color: black), location: r2c4
- shape: circle, color: darkslategray (stroke color: black), location: between r2c6 and r3c6
- shape: circle, color: darkslategray (stroke color: black), location: between r1c8 and r1c9
- shape: circle, color: darkslategray (stroke color: black), location: between r9c8 and r9c9
|
sxsm_Lizzy01_1ce14c6d68f53b5a3daf48675f261495
|
Pumpkin Wizard
|
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
\nAdjacent digits along an orange Dutch whisper line must have a difference of at least 4.\nGrey sequence lines contain digits in order, with the same difference between each adjacent pair. e.g. 1-4-7, 2-3-4 or 5-7-9.\nDigits along a purple lockout line must not be between the values of the diamond endpoints, which have a difference of at least 4.\nDigits along an arrow sum to the digit in the circle.\nDigits in cages sum to the clue given in the corner of the cage.\nCells separated by a grey dot are either consecutive or in a 1:2 ratio (or both)."
|
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
|
9 3 2 4 1 6 5 8 7
8 5 6 9 2 7 4 1 3
7 1 4 5 3 8 2 6 9
1 9 3 8 4 5 6 7 2
6 2 5 7 9 1 8 3 4
4 8 7 2 6 3 1 9 5
3 4 9 1 8 2 7 5 6
5 6 8 3 7 4 9 2 1
2 7 1 6 5 9 3 4 8
| 9 | 9 |
- killer cage (value 11): r1c4 r1c5 r1c6
- killer cage (value 13): r8c9 r9c8 r9c9
- line, color: darkgray, coords: r5c4 r5c3 r4c3
- line, color: darkgray, coords: r3c1 r2c2 r1c2
- line, color: darkorange, coords: r4c3 r5c4
- line, color: darkorange, coords: r6c3 r7c4 r6c5 r7c6 r7c7 r6c7
- line, color: darkorange, coords: r8c6 r8c7 r7c8 r6c8 r5c8 r4c8 r3c7 r3c6 r3c5 r4c4 r3c3 r4c2 r5c2 r6c2 r7c2 r8c3 r8c4 r7c5 r8c6
- line, color: darkorange, coords: r4c6 r5c5 r5c6 r4c6
- line, color: mediumpurple, coords: r3c6 r2c5 r1c5 r2c4 r3c3
- line, color: mediumpurple, coords: r9c3 r9c2 r8c1
- arrow, color: dimgray, coords (base to tip): r2c4 r2c5 r2c6
- shape: diamond, color: lavender (stroke color: indigo), location: r3c6
- shape: diamond, color: lavender (stroke color: indigo), location: r3c3
- shape: diamond, color: lavender (stroke color: indigo), location: r9c3
- shape: diamond, color: lavender (stroke color: indigo), location: r8c1
- shape: circle, color: white (stroke color: black), location: r2c4
- shape: circle, color: darkslategray (stroke color: black), location: between r2c6 and r3c6
- shape: circle, color: darkslategray (stroke color: black), location: between r1c8 and r1c9
- shape: circle, color: darkslategray (stroke color: black), location: between r9c8 and r9c9
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_66
|
.................................................................................
|
421639578687125394359874126246587913935261847178943652564718239813492765792356481
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
9x9
### Rules
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
\n\nDigits in a cage cannot repeat, and must sum to the number in the top left corner of the cage (note that \"<\" means less than, and \">\" means greater than). A \"?\" means a single digit total, and a \"??\" means a double digit total. "
### Visual Elements
- killer cage (value ?): r3c7 r3c8 r3c9
- killer cage (value ??): r1c2 r2c2
- killer cage (value ??): r1c1 r2c1
- killer cage (value ?): r7c3 r8c3 r9c3
- killer cage (value ?): r2c4 r3c4
- killer cage (value <?): r4c4 r5c4
- killer cage (value <?): r6c5 r6c6 r7c5
- killer cage (value <?): r8c6 r9c6
- killer cage (value <?): r1c5 r2c5
- killer cage (value ??): r8c2 r9c2
- killer cage (value ?): r5c9 r6c9
- killer cage (value ?): r4c8 r4c9 r5c8
- killer cage (value ?): r9c8 r9c9
- killer cage (value >??): r8c7 r9c7
- killer cage (value ??): r8c8 r8c9
- killer cage: r4c3 r5c3 r6c3 r6c4 r7c4 r8c4 r9c4
- killer cage: r2c6 r2c7 r2c8 r3c5 r3c6 r4c5 r5c5
- killer cage: r6c7 r6c8 r7c6 r7c7
- killer cage: r1c3 r1c4 r2c3 r3c1 r3c2 r3c3 r4c1
- killer cage: r4c2 r5c2 r6c1 r6c2 r7c1 r8c1
- killer cage: r4c6 r4c7 r5c6 r5c7
|
fpuzzle5ba33451d4eb8ab52c43ce8212dbb78e
|
Killer Sudoku...
|
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
\n\nDigits in a cage cannot repeat, and must sum to the number in the top left corner of the cage (note that \"<\" means less than, and \">\" means greater than). A \"?\" means a single digit total, and a \"??\" means a double digit total. "
|
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
|
4 2 1 6 3 9 5 7 8
6 8 7 1 2 5 3 9 4
3 5 9 8 7 4 1 2 6
2 4 6 5 8 7 9 1 3
9 3 5 2 6 1 8 4 7
1 7 8 9 4 3 6 5 2
5 6 4 7 1 8 2 3 9
8 1 3 4 9 2 7 6 5
7 9 2 3 5 6 4 8 1
| 9 | 9 |
- killer cage (value ?): r3c7 r3c8 r3c9
- killer cage (value ??): r1c2 r2c2
- killer cage (value ??): r1c1 r2c1
- killer cage (value ?): r7c3 r8c3 r9c3
- killer cage (value ?): r2c4 r3c4
- killer cage (value <?): r4c4 r5c4
- killer cage (value <?): r6c5 r6c6 r7c5
- killer cage (value <?): r8c6 r9c6
- killer cage (value <?): r1c5 r2c5
- killer cage (value ??): r8c2 r9c2
- killer cage (value ?): r5c9 r6c9
- killer cage (value ?): r4c8 r4c9 r5c8
- killer cage (value ?): r9c8 r9c9
- killer cage (value >??): r8c7 r9c7
- killer cage (value ??): r8c8 r8c9
- killer cage: r4c3 r5c3 r6c3 r6c4 r7c4 r8c4 r9c4
- killer cage: r2c6 r2c7 r2c8 r3c5 r3c6 r4c5 r5c5
- killer cage: r6c7 r6c8 r7c6 r7c7
- killer cage: r1c3 r1c4 r2c3 r3c1 r3c2 r3c3 r4c1
- killer cage: r4c2 r5c2 r6c1 r6c2 r7c1 r8c1
- killer cage: r4c6 r4c7 r5c6 r5c7
|
fpuzN4IgzglgXgpiBcBOANCALhNAbO8QGkIscAnAAgGUBXAEwHsBrKgOlZFQEMq0ALOkhCAocAnvwjsQJKjjAw0ggHL8AthyxkwtRlTLTZZDgAcjWEczIAdAHY2AIhADmmMGQjXDZAMYdHMbxzW1nRoejBGMBxoyIbWNGQqVGChWipkaHTpPP7WVCoARjDk7ln%2BGUZkOABmoV781kVkdFWlAX5kABTBaGU8UVYgADyWIAmR1q6yrryBMYHxIwB8I2OBro4kkT3kM9YAlBYAggMA%2FCsq464cmu6OOGQ0TpjpIepzcZ4jJ2ejF2ue9Co%2BXuj2coQyaHUFkkGwgNAQAG0EcAAL7IVHotEY7FY3GYgC6yGReJxmLJpNRhOJ5JJtJpVIpdMZBKJzLZtIZTK59NZ3PZLOp%2FPZnJpouFhJAPj8iNAXhgxDAiJAACUAMwAYQA7JI1eqABw6jWIEASgBu6iouBAJ0kdG4WHcMHVggAxAAGD2eyRVOjWNDOvDuz0ekBYyXyrCK%2BAIlUARnVACYdQnEybUOasJbBN9bfbHQGQEHg97ff7XcGQ2G5Qqlcr47Hk%2BqG2aLVac6g7dh8%2BWKyW%2FQWi16qxGozHlZr1aqdXrJzrELOW5m27muw0BxW3X2y4GN6H0eGa9GVSmACyG9VnxdZvA2jt5tc94uoH39x9D%2FfVyO1k8XnUAVl%2FK8rUGW8QE7B0Hx3Xtn1Ldde2HQ8xwANnVP8dRQpCdQnNCgMEECVwgp03xDGDXyg4sEK%2FI9lRnTDUGVedMNwvB8LvVciPIr1SO3Qtd0o0c41QxscPTVs8NA8Du04kiQBfHjB0rD8R1rGck3o%2Bck2Y60JPvDjeOg2TYOIzd%2BNrADjXolDjS0nT2Lgp9DLI%2FSKKUxCVR%2FA16J%2FCyVQAg0bIIqTnK4xz5L41yqLHedPJVedrNEpds0CyDgpkuT7PfWVlOomdtXUrU0xADNrxARZ2zA3SMrSozpJMiKBJo%2FVp3VeKirEm9bMIqrN247q9yytzlR%2FKd6IAkaVRQ8blRQs96InWaVRnBaGMAtiuuMrc%2BtM6iUzo48CvolMYt1ND6I1PahqE0ahIlSSUoUnrQq2%2BraxQvKJqaub1QuidtVuyqNt6jbtrHeMpvjZaUymjUGzO1M4amn9mzWoKHs24GXuon81N8%2BGPthj6cfHJtmuRiq7MBp6MYGyL3O%2BnUf3e5UAIugC%2FpR%2B7dyB2rQ3xFEgA%3D%3D
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_67
|
.................................................................................
|
974632158682915374351478269847251693263789415195364782539126847426897531718543926
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
9x9
### Rules
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
\n- Digits along an arrow sum to the digit in the connected circle.\n- Along each blue line, digits in each region must sum to the same total.\n- Digits in grey shaded cells must be greater than all neighbouring unshaded cells."
### Visual Elements
- inequality arrow: > between r1c4 and r1c5
- inequality arrow: > between r2c4 and r2c5
- inequality arrow: < between r2c5 and r2c4
- inequality arrow: > between r3c4 and r3c5
- inequality arrow: ^ between r4c4 and r3c4
- inequality arrow: v between r3c5 and r4c5
- inequality arrow: ^ between r4c5 and r3c5
- inequality arrow: < between r3c7 and r3c6
- inequality arrow: ^ between r4c6 and r3c6
- inequality arrow: > between r2c6 and r2c7
- inequality arrow: < between r2c7 and r2c6
- inequality arrow: < between r1c7 and r1c6
- inequality arrow: ^ between r2c5 and r1c5
- inequality arrow: > between r2c2 and r2c3
- inequality arrow: < between r2c3 and r2c2
- inequality arrow: v between r2c2 and r3c2
- inequality arrow: ^ between r3c2 and r2c2
- inequality arrow: > between r2c8 and r2c9
- inequality arrow: < between r2c9 and r2c8
- inequality arrow: v between r2c8 and r3c8
- inequality arrow: ^ between r3c8 and r2c8
- line, color: deepskyblue, coords: r4c5 r4c6 r4c7 r3c7 r2c7 r1c7
- line, color: deepskyblue, coords: r6c8 r7c7
- line, color: deepskyblue, coords: r6c2 r7c3
- line, color: deepskyblue, coords: r4c5 r4c4 r4c3 r3c3 r2c3 r1c3
- arrow, color: darkgray, coords (base to tip): r7c3 r7c4 r7c5 r6c5
- arrow, color: darkgray, coords (base to tip): r7c7 r7c6 r7c5
- arrow, color: darkgray, coords (base to tip): r6c2 r5c2 r6c1 r5c1
- arrow, color: darkgray, coords (base to tip): r6c8 r5c8 r6c9 r5c9
- arrow, color: darkgray, coords (base to tip): r9c1 r8c1 r9c2 r8c2
- arrow, color: darkgray, coords (base to tip): r9c9 r8c9 r9c8 r8c8
- shape: square, color: black, location: r1c4
- shape: square, color: black, location: r2c4
- shape: square, color: black, location: r3c4
- shape: square, color: black, location: r3c5
- shape: square, color: black, location: r3c6
- shape: square, color: black, location: r2c6
- shape: square, color: black, location: r1c6
- shape: square, color: black, location: r1c5
- shape: square, color: black, location: r2c2
- shape: square, color: black, location: r2c8
- shape: circle, color: white (stroke color: darkgray), location: r7c3
- shape: circle, color: white (stroke color: darkgray), location: r7c7
- shape: circle, color: white (stroke color: darkgray), location: r6c2
- shape: circle, color: white (stroke color: darkgray), location: r6c8
- shape: circle, color: white (stroke color: darkgray), location: r9c1
- shape: circle, color: white (stroke color: darkgray), location: r9c9
|
sxsm_fjam_e4ccc8a26362051e9121afc4f76b0737
|
Stronghold
|
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
\n- Digits along an arrow sum to the digit in the connected circle.\n- Along each blue line, digits in each region must sum to the same total.\n- Digits in grey shaded cells must be greater than all neighbouring unshaded cells."
|
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
|
9 7 4 6 3 2 1 5 8
6 8 2 9 1 5 3 7 4
3 5 1 4 7 8 2 6 9
8 4 7 2 5 1 6 9 3
2 6 3 7 8 9 4 1 5
1 9 5 3 6 4 7 8 2
5 3 9 1 2 6 8 4 7
4 2 6 8 9 7 5 3 1
7 1 8 5 4 3 9 2 6
| 9 | 9 |
- inequality arrow: > between r1c4 and r1c5
- inequality arrow: > between r2c4 and r2c5
- inequality arrow: < between r2c5 and r2c4
- inequality arrow: > between r3c4 and r3c5
- inequality arrow: ^ between r4c4 and r3c4
- inequality arrow: v between r3c5 and r4c5
- inequality arrow: ^ between r4c5 and r3c5
- inequality arrow: < between r3c7 and r3c6
- inequality arrow: ^ between r4c6 and r3c6
- inequality arrow: > between r2c6 and r2c7
- inequality arrow: < between r2c7 and r2c6
- inequality arrow: < between r1c7 and r1c6
- inequality arrow: ^ between r2c5 and r1c5
- inequality arrow: > between r2c2 and r2c3
- inequality arrow: < between r2c3 and r2c2
- inequality arrow: v between r2c2 and r3c2
- inequality arrow: ^ between r3c2 and r2c2
- inequality arrow: > between r2c8 and r2c9
- inequality arrow: < between r2c9 and r2c8
- inequality arrow: v between r2c8 and r3c8
- inequality arrow: ^ between r3c8 and r2c8
- line, color: deepskyblue, coords: r4c5 r4c6 r4c7 r3c7 r2c7 r1c7
- line, color: deepskyblue, coords: r6c8 r7c7
- line, color: deepskyblue, coords: r6c2 r7c3
- line, color: deepskyblue, coords: r4c5 r4c4 r4c3 r3c3 r2c3 r1c3
- arrow, color: darkgray, coords (base to tip): r7c3 r7c4 r7c5 r6c5
- arrow, color: darkgray, coords (base to tip): r7c7 r7c6 r7c5
- arrow, color: darkgray, coords (base to tip): r6c2 r5c2 r6c1 r5c1
- arrow, color: darkgray, coords (base to tip): r6c8 r5c8 r6c9 r5c9
- arrow, color: darkgray, coords (base to tip): r9c1 r8c1 r9c2 r8c2
- arrow, color: darkgray, coords (base to tip): r9c9 r8c9 r9c8 r8c8
- shape: square, color: black, location: r1c4
- shape: square, color: black, location: r2c4
- shape: square, color: black, location: r3c4
- shape: square, color: black, location: r3c5
- shape: square, color: black, location: r3c6
- shape: square, color: black, location: r2c6
- shape: square, color: black, location: r1c6
- shape: square, color: black, location: r1c5
- shape: square, color: black, location: r2c2
- shape: square, color: black, location: r2c8
- shape: circle, color: white (stroke color: darkgray), location: r7c3
- shape: circle, color: white (stroke color: darkgray), location: r7c7
- shape: circle, color: white (stroke color: darkgray), location: r6c2
- shape: circle, color: white (stroke color: darkgray), location: r6c8
- shape: circle, color: white (stroke color: darkgray), location: r9c1
- shape: circle, color: white (stroke color: darkgray), location: r9c9
|
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Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_68
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.................................................................................
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832967514458316927573182496746253189395824761169475832621749358287591643914638275
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
9x9
### Rules
"\u2022 Divide the grid into 9 kingdoms of orthogonally connected cells. Fill the grid with the digits 1-9 so that digits don't repeat in a row, column or kingdom.\n\u2022 A digit in a blue square indicates its kingdom's strength. Each kingdom has a different strength, which is determined by summing the digits in its castle(s).\n\u2022 Digits connected by bridges are in different kingdoms and for each their value is the strength of the kingdom on the other side of the bridge. Two kingdom borders are provided."
### Visual Elements
- castle at r1c3
- castle at r1c7
- castle at r2c5
- castle at r3c3
- castle at r3c7
- castle at r4c7
- castle at r5c1
- castle at r5c3
- castle at r5c5
- castle at r5c6
- castle at r5c9
- castle at r7c3
- castle at r7c5
- castle at r7c7
- castle at r9c3
- castle at r9c7
- bridge between r1c7 and r2c7
- bridge between r2c4 and r2c5
- bridge between r4c1 and r5c1
- bridge between r5c3 and r5c4
- bridge between r8c7 and r9c7
- blue square at r1c2
- blue square at r1c9
- blue square at r3c5
- blue square at r3c8
- blue square at r4c5
- blue square at r5c5
- blue square at r7c3
- blue square at r8c3
- blue square at r9c4
- black wall barrier between r1c8 and r1c9
- black wall barrier between r6c4 and r6c5
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sxsm_SenatorGronk_ad5c52d5a759987b1314c9c132d53102
|
Secret Kingdoms
|
"\u2022 Divide the grid into 9 kingdoms of orthogonally connected cells. Fill the grid with the digits 1-9 so that digits don't repeat in a row, column or kingdom.\n\u2022 A digit in a blue square indicates its kingdom's strength. Each kingdom has a different strength, which is determined by summing the digits in its castle(s).\n\u2022 Digits connected by bridges are in different kingdoms and for each their value is the strength of the kingdom on the other side of the bridge. Two kingdom borders are provided."
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8 3 2 9 6 7 5 1 4
4 5 8 3 1 6 9 2 7
5 7 3 1 8 2 4 9 6
7 4 6 2 5 3 1 8 9
3 9 5 8 2 4 7 6 1
1 6 9 4 7 5 8 3 2
6 2 1 7 4 9 3 5 8
2 8 7 5 9 1 6 4 3
9 1 4 6 3 8 2 7 5
| 9 | 9 |
- castle at r1c3
- castle at r1c7
- castle at r2c5
- castle at r3c3
- castle at r3c7
- castle at r4c7
- castle at r5c1
- castle at r5c3
- castle at r5c5
- castle at r5c6
- castle at r5c9
- castle at r7c3
- castle at r7c5
- castle at r7c7
- castle at r9c3
- castle at r9c7
- bridge between r1c7 and r2c7
- bridge between r2c4 and r2c5
- bridge between r4c1 and r5c1
- bridge between r5c3 and r5c4
- bridge between r8c7 and r9c7
- blue square at r1c2
- blue square at r1c9
- blue square at r3c5
- blue square at r3c8
- blue square at r4c5
- blue square at r5c5
- blue square at r7c3
- blue square at r8c3
- blue square at r9c4
- black wall barrier between r1c8 and r1c9
- black wall barrier between r6c4 and r6c5
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_69
|
................
|
3214142323414132
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
4x4
### Rules
"SUDOKU\n- Fill the grid with the digits 1-4 so that no digit repeats in a row, column, or box.\n\nKILLER\n- Digits in cages sum to the number in the corner of the cage.\n- Digits cannot repeat within a cage.\n\nLITTLE KILLER\n- Digits along the diagonal indicated by an arrow sum to the number by the arrow."
### Visual Elements
- killer cage (value 5): r1c1 r1c2
- killer cage (value 8): r2c1 r2c2 r3c2
- killer cage (value 4): r2c4 r3c4
- diagonal arrow, color: black, in location: r1c5, pointing lower left
- text: 8, shape: circle, location: r1c5
|
sxsm_MichaelLefkowitz_4e4d663bc8bd4f6a014b4432152e4d99
|
Introduction to Killer Sudoku
|
"SUDOKU\n- Fill the grid with the digits 1-4 so that no digit repeats in a row, column, or box.\n\nKILLER\n- Digits in cages sum to the number in the corner of the cage.\n- Digits cannot repeat within a cage.\n\nLITTLE KILLER\n- Digits along the diagonal indicated by an arrow sum to the number by the arrow."
|
. . . .
. . . .
. . . .
. . . .
|
3 2 1 4
1 4 2 3
2 3 4 1
4 1 3 2
| 4 | 4 |
- killer cage (value 5): r1c1 r1c2
- killer cage (value 8): r2c1 r2c2 r3c2
- killer cage (value 4): r2c4 r3c4
- diagonal arrow, color: black, in location: r1c5, pointing lower left
- text: 8, shape: circle, location: r1c5
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_70
|
................
|
3421124341322314
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
4x4
### Rules
"SUDOKU\n- Fill the grid with the digits 1-4 so that no digit repeats in a row, column, or box.\n\nCOUNTING CIRCLES\nAny digit in a circle indicates exactly how many circles contain that digit. As an example, if there is a 2 in any circle, there are exactly two 2s in circles in the puzzle."
### Visual Elements
- shape: circle, color: white (stroke color: black), location: r4c1
- shape: circle, color: white (stroke color: black), location: r3c1
- shape: circle, color: white (stroke color: black), location: r4c4
- shape: circle, color: white (stroke color: black), location: r2c4
- shape: circle, color: white (stroke color: black), location: r2c3
- shape: circle, color: white (stroke color: black), location: r4c2
- shape: circle, color: white (stroke color: black), location: r2c2
- shape: circle, color: white (stroke color: black), location: r1c1
- shape: circle, color: white (stroke color: black), location: r1c2
|
sxsm_MichaelLefkowitz_e78a47bc1d90064f398be51f153ff6c3
|
Introduction to Counting Circles
|
"SUDOKU\n- Fill the grid with the digits 1-4 so that no digit repeats in a row, column, or box.\n\nCOUNTING CIRCLES\nAny digit in a circle indicates exactly how many circles contain that digit. As an example, if there is a 2 in any circle, there are exactly two 2s in circles in the puzzle."
|
. . . .
. . . .
. . . .
. . . .
|
3 4 2 1
1 2 4 3
4 1 3 2
2 3 1 4
| 4 | 4 |
- shape: circle, color: white (stroke color: black), location: r4c1
- shape: circle, color: white (stroke color: black), location: r3c1
- shape: circle, color: white (stroke color: black), location: r4c4
- shape: circle, color: white (stroke color: black), location: r2c4
- shape: circle, color: white (stroke color: black), location: r2c3
- shape: circle, color: white (stroke color: black), location: r4c2
- shape: circle, color: white (stroke color: black), location: r2c2
- shape: circle, color: white (stroke color: black), location: r1c1
- shape: circle, color: white (stroke color: black), location: r1c2
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_71
|
................
|
4213132424313142
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
4x4
### Rules
"Each row and column contains the digits 1-4 once each. Digits in a cage sum to a prime number but no two cages sum to the same prime. Digits in a cage MAY repeat."
### Visual Elements
- killer cage: r1c2 r1c3 r2c3
- killer cage: r1c4 r2c4 r3c3 r3c4 r4c3 r4c4
- killer cage: r2c2 r3c2 r4c1 r4c2
- killer cage: r1c1 r2c1 r3c1
|
sxsm_JordanOliver_a933bdafd58f730a6f802eacbfd8c3ff
|
Prime Killer Snack
|
"Each row and column contains the digits 1-4 once each. Digits in a cage sum to a prime number but no two cages sum to the same prime. Digits in a cage MAY repeat."
|
. . . .
. . . .
. . . .
. . . .
|
4 2 1 3
1 3 2 4
2 4 3 1
3 1 4 2
| 4 | 4 |
- killer cage: r1c2 r1c3 r2c3
- killer cage: r1c4 r2c4 r3c3 r3c4 r4c3 r4c4
- killer cage: r2c2 r3c2 r4c1 r4c2
- killer cage: r1c1 r2c1 r3c1
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_72
|
....2...........
|
1342243142133124
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
4x4
### Rules
"SUDOKU\n- Fill the grid with the digits 1-4 so that no digit repeats in a row, column, or box.\n\nRENBAN\n- Digits on a purple Renban line must be a set of consecutive, non-repeating digits (in any order). For example, a length 3 line could have -3-1-2-, but not -1-2-4- or -1-3-1-."
### Visual Elements
- line, color: violet, coords: r4c1 r3c2 r2c2 r1c1
- line, color: violet, coords: r2c3 r2c4 r1c4
- line, color: violet, coords: r4c4 r3c4 r4c3
- line, color: violet, coords: r1c2 r1c3
|
sxsm_MichaelLefkowitz_3ac77fd64f5032647403d6ac353c0c20
|
Introduction to Renban Lines
|
"SUDOKU\n- Fill the grid with the digits 1-4 so that no digit repeats in a row, column, or box.\n\nRENBAN\n- Digits on a purple Renban line must be a set of consecutive, non-repeating digits (in any order). For example, a length 3 line could have -3-1-2-, but not -1-2-4- or -1-3-1-."
|
. . . .
2 . . .
. . . .
. . . .
|
1 3 4 2
2 4 3 1
4 2 1 3
3 1 2 4
| 4 | 4 |
- line, color: violet, coords: r4c1 r3c2 r2c2 r1c1
- line, color: violet, coords: r2c3 r2c4 r1c4
- line, color: violet, coords: r4c4 r3c4 r4c3
- line, color: violet, coords: r1c2 r1c3
|
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=
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_73
|
................
|
3241413214232314
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
4x4
### Rules
"4x4 Euler Sudoku rules apply: Place the digits 1-4 and 4 different colors exactly once in each row, column, and box such that each cell has a digit and a color. Every digit/color combination must appear exactly once.\nDigits along thermometers increase from the bulb end. The digit in the gray circle is odd."
### Visual Elements
- line, color: lightgray, coords: r1c2 r2c3
- line, color: lightgray, coords: r2c2 r3c3
- shape: circle, color: lightgray, location: r1c2
- shape: circle, color: lightgray, location: r2c2
- shape: circle, color: lightgray, location: r3c4
|
fpuzzle83602cf04fa75ca2f53f639e762062b6
|
4x4 Euler Thermo Sudoku
|
"4x4 Euler Sudoku rules apply: Place the digits 1-4 and 4 different colors exactly once in each row, column, and box such that each cell has a digit and a color. Every digit/color combination must appear exactly once.\nDigits along thermometers increase from the bulb end. The digit in the gray circle is odd."
|
. . . .
. . . .
. . . .
. . . .
|
3 2 4 1
4 1 3 2
1 4 2 3
2 3 1 4
| 4 | 4 |
- line, color: lightgray, coords: r1c2 r2c3
- line, color: lightgray, coords: r2c2 r3c3
- shape: circle, color: lightgray, location: r1c2
- shape: circle, color: lightgray, location: r2c2
- shape: circle, color: lightgray, location: r3c4
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_74
|
3...............
|
3421124321344312
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
4x4
### Rules
"SUDOKU\n- Fill the grid with the digits 1-4 so that no digit repeats in a row, column, or box.\n\nANTIKNIGHT\n- If two cells are a knight's move apart (i.e. two steps horizontally and one step vertically, or vice versa), then they cannot have the same digit.\n\nPARTIAL KROPKI\n- A white dot between two cells requires that the value in one cell is exactly 1 greater than the value of the other cell.\n- A black dot between two cells requires that the value in one cell is exactly double the value of the other cell."
### Visual Elements
- shape: circle, color: white (stroke color: black), location: between r1c3 and r1c4
- shape: circle, color: black, location: between r3c1 and r4c1
|
sxsm_MichaelLefkowitz_1b4c5d28db5234255eefb090a2e3d349
|
Introduction to Anti-Knight
|
"SUDOKU\n- Fill the grid with the digits 1-4 so that no digit repeats in a row, column, or box.\n\nANTIKNIGHT\n- If two cells are a knight's move apart (i.e. two steps horizontally and one step vertically, or vice versa), then they cannot have the same digit.\n\nPARTIAL KROPKI\n- A white dot between two cells requires that the value in one cell is exactly 1 greater than the value of the other cell.\n- A black dot between two cells requires that the value in one cell is exactly double the value of the other cell."
|
3 . . .
. . . .
. . . .
. . . .
|
3 4 2 1
1 2 4 3
2 1 3 4
4 3 1 2
| 4 | 4 |
- shape: circle, color: white (stroke color: black), location: between r1c3 and r1c4
- shape: circle, color: black, location: between r3c1 and r4c1
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_75
|
................
|
3412214312344321
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
4x4
### Rules
Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.
Place the numbers 1-4, once each, into every row, column and box. Digits an equal distance from the center of a gray 'Zipper Line' must sum to the digit in the middle of that line. A digit inside a circle indicates how many circles that digit appears in.\n"
### Visual Elements
- line, color: lightgray, coords: r1c1 r2c1 r3c1 r4c1 r4c2 r4c3 r4c4
- line, color: lightgray, coords: r2c2 r2c3 r3c3
- shape: circle, color: white (stroke color: black), location: r3c1
- shape: circle, color: white (stroke color: black), location: r4c2
- shape: circle, color: white (stroke color: black), location: r2c1
- shape: circle, color: white (stroke color: black), location: r4c3
- shape: circle, color: white (stroke color: black), location: r1c1
- shape: circle, color: white (stroke color: black), location: r2c4
|
fpuzzle7a11bd533983e9398b6bac93be5d3200
|
Zippers and Circles
|
Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.
Place the numbers 1-4, once each, into every row, column and box. Digits an equal distance from the center of a gray 'Zipper Line' must sum to the digit in the middle of that line. A digit inside a circle indicates how many circles that digit appears in.\n"
|
. . . .
. . . .
. . . .
. . . .
|
3 4 1 2
2 1 4 3
1 2 3 4
4 3 2 1
| 4 | 4 |
- line, color: lightgray, coords: r1c1 r2c1 r3c1 r4c1 r4c2 r4c3 r4c4
- line, color: lightgray, coords: r2c2 r2c3 r3c3
- shape: circle, color: white (stroke color: black), location: r3c1
- shape: circle, color: white (stroke color: black), location: r4c2
- shape: circle, color: white (stroke color: black), location: r2c1
- shape: circle, color: white (stroke color: black), location: r4c3
- shape: circle, color: white (stroke color: black), location: r1c1
- shape: circle, color: white (stroke color: black), location: r2c4
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_76
|
................
|
2314413234211243
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
4x4
### Rules
"Normal sudoku rules apply: Place the digits 1 to 4, once each, in every row, column and box.\\n\\nRegion Sum Lines: Digits along a blue line have an equal sum N within each 2x2 box the line passes through. Different lines may have different values for N."
### Visual Elements
- line, color: mediumturquoise, coords: r1c1 r2c2 r3c1
- line, color: mediumturquoise, coords: r1c3 r2c3 r3c2
- line, color: mediumturquoise, coords: r2c4 r3c3 r4c2
|
f7663Bj2bL
|
Pluto (Dwarf Planet)
|
"Normal sudoku rules apply: Place the digits 1 to 4, once each, in every row, column and box.\\n\\nRegion Sum Lines: Digits along a blue line have an equal sum N within each 2x2 box the line passes through. Different lines may have different values for N."
|
. . . .
. . . .
. . . .
. . . .
|
2 3 1 4
4 1 3 2
3 4 2 1
1 2 4 3
| 4 | 4 |
- line, color: mediumturquoise, coords: r1c1 r2c2 r3c1
- line, color: mediumturquoise, coords: r1c3 r2c3 r3c2
- line, color: mediumturquoise, coords: r2c4 r3c3 r4c2
|
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=
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_77
|
................
|
8456654848655684
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
4x4
### Rules
"Place the same 4-digit subset from the digits 1 \u2013 9 in each row, column and 2 x 2 box. Digits along a thermometer must increase from the bulb end. Digits separated by the black dot have a 2 to 1 ratio. Digits separated by the white dot are consecutive. The gray square contains an even number."
### Visual Elements
- line, color: lightgray, coords: r3c1 r2c1
- line, color: lightgray, coords: r4c1 r4c2 r3c2
- line, color: lightgray, coords: r4c4 r3c4
- line, color: lightgray, coords: r2c3 r2c2
- line, color: lightgray, coords: r2c3 r3c3
- line, color: lightgray, coords: r1c3 r1c4 r2c4
- shape: square, color: mediumturquoise (stroke color: lightgray), location: r2c1
- shape: circle, color: white (stroke color: black), location: between r1c2 and r2c2
- shape: circle, color: black, location: between r4c3 and r4c4
- shape: circle, color: lightgray, location: r1c3
- shape: circle, color: lightgray, location: r2c3
- shape: circle, color: lightgray, location: r4c4
- shape: circle, color: lightgray, location: r4c1
- shape: circle, color: lightgray, location: r3c1
|
gQrmDmMFtM
|
NGN
|
"Place the same 4-digit subset from the digits 1 \u2013 9 in each row, column and 2 x 2 box. Digits along a thermometer must increase from the bulb end. Digits separated by the black dot have a 2 to 1 ratio. Digits separated by the white dot are consecutive. The gray square contains an even number."
|
. . . .
. . . .
. . . .
. . . .
|
8 4 5 6
6 5 4 8
4 8 6 5
5 6 8 4
| 4 | 4 |
- line, color: lightgray, coords: r3c1 r2c1
- line, color: lightgray, coords: r4c1 r4c2 r3c2
- line, color: lightgray, coords: r4c4 r3c4
- line, color: lightgray, coords: r2c3 r2c2
- line, color: lightgray, coords: r2c3 r3c3
- line, color: lightgray, coords: r1c3 r1c4 r2c4
- shape: square, color: mediumturquoise (stroke color: lightgray), location: r2c1
- shape: circle, color: white (stroke color: black), location: between r1c2 and r2c2
- shape: circle, color: black, location: between r4c3 and r4c4
- shape: circle, color: lightgray, location: r1c3
- shape: circle, color: lightgray, location: r2c3
- shape: circle, color: lightgray, location: r4c4
- shape: circle, color: lightgray, location: r4c1
- shape: circle, color: lightgray, location: r3c1
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_78
|
................
|
4158673254273681
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
4x4
### Rules
"Normal sudoku rules do NOT apply. Fill the grid with digits 1-9, such that no digit repeats in any row, column or box. The set of digits in each row or column is unique, eg. if a row contains the digits 1234, no other row or column may contain exactly those digits. The digits in every row, column and box sum to x, where x has to be determined by the solver. Digits separated by an X sum to 10. Digits separated by a V sum to 5. Not all Xs and Vs are necessarily given."
### Visual Elements
- text: V, shape: circle, color: white, location: between r1c1 and r1c2
- text: V, shape: circle, color: white, location: between r2c3 and r3c3
- text: X, shape: circle, color: white, location: between r2c2 and r2c3
- text: X, shape: circle, color: white, location: between r1c4 and r2c4
- text: X, shape: circle, color: white, location: between r3c2 and r4c2
|
nLjQ8DjNRJ
|
Unique Sum Sudoku
|
"Normal sudoku rules do NOT apply. Fill the grid with digits 1-9, such that no digit repeats in any row, column or box. The set of digits in each row or column is unique, eg. if a row contains the digits 1234, no other row or column may contain exactly those digits. The digits in every row, column and box sum to x, where x has to be determined by the solver. Digits separated by an X sum to 10. Digits separated by a V sum to 5. Not all Xs and Vs are necessarily given."
|
. . . .
. . . .
. . . .
. . . .
|
4 1 5 8
6 7 3 2
5 4 2 7
3 6 8 1
| 4 | 4 |
- text: V, shape: circle, color: white, location: between r1c1 and r1c2
- text: V, shape: circle, color: white, location: between r2c3 and r3c3
- text: X, shape: circle, color: white, location: between r2c2 and r2c3
- text: X, shape: circle, color: white, location: between r1c4 and r2c4
- text: X, shape: circle, color: white, location: between r3c2 and r4c2
|
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=
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_79
|
................
|
2143341243211234
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
4x4
### Rules
"Normal Sudoku rules apply\nDigits separated by a knight's move may not repeat\nDigits along a thermo strictly increase from the bulb"
### Visual Elements
- line, color: lightgray, coords: r4c2 r3c2 r2c2
- line, color: lightgray, coords: r2c3 r3c3
- shape: circle, color: lightgray, location: r4c2
- shape: circle, color: lightgray, location: r2c3
|
fpuzzle2aa567b91ab54585d756858c655758fb
|
Knights of the QS Example
|
"Normal Sudoku rules apply\nDigits separated by a knight's move may not repeat\nDigits along a thermo strictly increase from the bulb"
|
. . . .
. . . .
. . . .
. . . .
|
2 1 4 3
3 4 1 2
4 3 2 1
1 2 3 4
| 4 | 4 |
- line, color: lightgray, coords: r4c2 r3c2 r2c2
- line, color: lightgray, coords: r2c3 r3c3
- shape: circle, color: lightgray, location: r4c2
- shape: circle, color: lightgray, location: r2c3
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_80
|
................
|
3132424132132144
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
4x4
### Rules
"Normal 4x4 Sudoku rules do NOT apply.\n\n- Digits may not repeat in a column.\n- Digits may not repeat in a row.\n- Digits may not repeat in a box.\n\nError sudoku: Input the digits 1 to 4 on the grid exactly four times each. You must make exactly N total errors for each digit, where N is equal to the digit. For example, you must make exactly 3 errors with the digit 3. Only the rules marked with a dash may be violated for this purpose.\n\nAny time a pair of digits violates any of the relevant rules, it counts as 1 error. One pair can cause multiple errors if it violates multiple rules simultaneously. For cases involving more than 2 digits, all combinations of pairs count individually.\n\nRow/Column sums: The values outside the grid restrict the sum of the digits on that row/column.\n\nPalindrome: The digits on the lines read the same backwards and forwards.\n\n\n\n"
### Visual Elements
- region: r3c1 r3c2 r4c1 r4c2
- region: r3c3 r3c4 r4c3 r4c4
- line, color: lightgray, coords: r4c3 r4c4
- line, color: lightgray, coords: r3c3 r2c4
- text: <7, shape: square, location: r0c2
- text: <13, shape: square, location: r0c1
- text: >10, shape: square, location: r4c0
- text: >10, shape: square, location: r2c0
|
fpuzzle5bbfb2420863d541e297415b7fec35b9
|
Mistakes Were Made
|
"Normal 4x4 Sudoku rules do NOT apply.\n\n- Digits may not repeat in a column.\n- Digits may not repeat in a row.\n- Digits may not repeat in a box.\n\nError sudoku: Input the digits 1 to 4 on the grid exactly four times each. You must make exactly N total errors for each digit, where N is equal to the digit. For example, you must make exactly 3 errors with the digit 3. Only the rules marked with a dash may be violated for this purpose.\n\nAny time a pair of digits violates any of the relevant rules, it counts as 1 error. One pair can cause multiple errors if it violates multiple rules simultaneously. For cases involving more than 2 digits, all combinations of pairs count individually.\n\nRow/Column sums: The values outside the grid restrict the sum of the digits on that row/column.\n\nPalindrome: The digits on the lines read the same backwards and forwards.\n\n\n\n"
|
. . . .
. . . .
. . . .
. . . .
|
3 1 3 2
4 2 4 1
3 2 1 3
2 1 4 4
| 4 | 4 |
- region: r3c1 r3c2 r4c1 r4c2
- region: r3c3 r3c4 r4c3 r4c4
- line, color: lightgray, coords: r4c3 r4c4
- line, color: lightgray, coords: r3c3 r2c4
- text: <7, shape: square, location: r0c2
- text: <13, shape: square, location: r0c1
- text: >10, shape: square, location: r4c0
- text: >10, shape: square, location: r2c0
|
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=
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_81
|
................
|
1342241331244231
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
4x4
### Rules
Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.
\nDigits separated by a black dot are in a 1:2 ratio.\nThe difference between two adjacent digits on a coloured line indicates exactly how many pairs of adjacent digits along that line have that exact difference."
### Visual Elements
- line, color: palegreen, coords: r3c1 r3c2 r4c3
- line, color: plum, coords: r2c2 r2c3 r3c4 r4c4
- shape: circle, color: black, location: between r4c1 and r4c2
|
sxsm_SujoykuandMartySears_d7635138763996b4af8378b8ae923c8f
|
Differences Count - part 1
|
Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.
\nDigits separated by a black dot are in a 1:2 ratio.\nThe difference between two adjacent digits on a coloured line indicates exactly how many pairs of adjacent digits along that line have that exact difference."
|
. . . .
. . . .
. . . .
. . . .
|
1 3 4 2
2 4 1 3
3 1 2 4
4 2 3 1
| 4 | 4 |
- line, color: palegreen, coords: r3c1 r3c2 r4c3
- line, color: plum, coords: r2c2 r2c3 r3c4 r4c4
- shape: circle, color: black, location: between r4c1 and r4c2
|
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=
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_82
|
................
|
3421124323144132
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
4x4
### Rules
Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.
\n\nSUNBURN - A digit on a sun indicates how many surrounding cells (i.e. orthogonally or diagonally adjacent cells) contain smaller digits."
### Visual Elements
- text: ☀️, shape: circle, location: r2c2
- text: ☀️, shape: circle, location: r2c4
- text: ☀️, shape: circle, location: r3c4
|
sxsm_MichaelLefkowitz_8d607a9cd510c988a3a7a7409cab75af
|
Clear Skies
|
Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.
\n\nSUNBURN - A digit on a sun indicates how many surrounding cells (i.e. orthogonally or diagonally adjacent cells) contain smaller digits."
|
. . . .
. . . .
. . . .
. . . .
|
3 4 2 1
1 2 4 3
2 3 1 4
4 1 3 2
| 4 | 4 |
- text: ☀️, shape: circle, location: r2c2
- text: ☀️, shape: circle, location: r2c4
- text: ☀️, shape: circle, location: r3c4
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_83
|
................
|
2143432134121234
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
4x4
### Rules
Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.
\n\nDraw a 1-cell-wide snake of orthogonally connected cells in the grid. The snake starts in the top-left cell, visits every 2x2 box at least once, and does not branch nor touch itself orthogonally.\n\nA cell is 'friendly' if its digit matches its row, column, or box number. The snake consists of all cells which are not friendly and no others."
### Visual Elements
None
|
sxsm_yanggang_d30f349cab7611471c67d16e617d57e4
|
Mean Baby Snake
|
Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.
\n\nDraw a 1-cell-wide snake of orthogonally connected cells in the grid. The snake starts in the top-left cell, visits every 2x2 box at least once, and does not branch nor touch itself orthogonally.\n\nA cell is 'friendly' if its digit matches its row, column, or box number. The snake consists of all cells which are not friendly and no others."
|
. . . .
. . . .
. . . .
. . . .
|
2 1 4 3
4 3 2 1
3 4 1 2
1 2 3 4
| 4 | 4 |
None
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_84
|
....................................
|
351264642513526341413625165432234156
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
6x6
### Rules
Each row, column, and 2×3 subgrid must contain all digits from 1 to 6 exactly once. Digits cannot be repeated within any row, column, or 2×3 subgrid.
\nAll digits along a blue line must sum to the same total in each 2x3 box the line visits."
### Visual Elements
- line, color: deepskyblue, coords: r1c4 r2c5 r3c6 r4c5
- line, color: deepskyblue, coords: r3c1 r2c2 r1c3 r2c4
- line, color: deepskyblue, coords: r3c2 r4c2 r4c3 r4c4
- line, color: deepskyblue, coords: r4c6 r5c6 r5c5
- line, color: deepskyblue, coords: r4c1 r5c1 r6c2
|
sxsm_JamesKopp_663a5d92442985f6bce55f6da3b7c58c
|
Out of the Blue
|
Each row, column, and 2×3 subgrid must contain all digits from 1 to 6 exactly once. Digits cannot be repeated within any row, column, or 2×3 subgrid.
\nAll digits along a blue line must sum to the same total in each 2x3 box the line visits."
|
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
|
3 5 1 2 6 4
6 4 2 5 1 3
5 2 6 3 4 1
4 1 3 6 2 5
1 6 5 4 3 2
2 3 4 1 5 6
| 6 | 6 |
- line, color: deepskyblue, coords: r1c4 r2c5 r3c6 r4c5
- line, color: deepskyblue, coords: r3c1 r2c2 r1c3 r2c4
- line, color: deepskyblue, coords: r3c2 r4c2 r4c3 r4c4
- line, color: deepskyblue, coords: r4c6 r5c6 r5c5
- line, color: deepskyblue, coords: r4c1 r5c1 r6c2
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_85
|
....................................
|
265431143652351246624315536124412563
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
6x6
### Rules
"[\ud835\udde6\ud835\ude02\ud835\uddf1\ud835\uddfc\ud835\uddf8\ud835\ude02] Place the digits from 1 to 6 once each into every Row, Column and Region.\n\n[\ud835\uddd4\ud835\uddff\ud835\uddff\ud835\uddfc\ud835\ude04] All digits on the Arrow are summing to the attached circled cell."
### Visual Elements
- line, color: silver, coords: r1c2 r2c1 r3c1 r4c2
- line, color: silver, coords: r2c4 r3c3 r4c3 r5c4
- line, color: silver, coords: r3c6 r4c5 r5c5 r6c6
- line, color: silver, coords: r1c5 r1c6 r2c6
- line, color: silver, coords: r5c1 r6c1 r6c2
- shape: circle, color: white (stroke color: silver), location: r1c2
- shape: circle, color: white (stroke color: silver), location: r1c5
- shape: circle, color: white (stroke color: silver), location: r2c4
- shape: circle, color: white (stroke color: silver), location: r3c6
- shape: circle, color: white (stroke color: silver), location: r5c1
|
sxsm_YellowLucario_8913e050ad56760737be568a56a13979
|
Arrowsome
|
"[\ud835\udde6\ud835\ude02\ud835\uddf1\ud835\uddfc\ud835\uddf8\ud835\ude02] Place the digits from 1 to 6 once each into every Row, Column and Region.\n\n[\ud835\uddd4\ud835\uddff\ud835\uddff\ud835\uddfc\ud835\ude04] All digits on the Arrow are summing to the attached circled cell."
|
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
|
2 6 5 4 3 1
1 4 3 6 5 2
3 5 1 2 4 6
6 2 4 3 1 5
5 3 6 1 2 4
4 1 2 5 6 3
| 6 | 6 |
- line, color: silver, coords: r1c2 r2c1 r3c1 r4c2
- line, color: silver, coords: r2c4 r3c3 r4c3 r5c4
- line, color: silver, coords: r3c6 r4c5 r5c5 r6c6
- line, color: silver, coords: r1c5 r1c6 r2c6
- line, color: silver, coords: r5c1 r6c1 r6c2
- shape: circle, color: white (stroke color: silver), location: r1c2
- shape: circle, color: white (stroke color: silver), location: r1c5
- shape: circle, color: white (stroke color: silver), location: r2c4
- shape: circle, color: white (stroke color: silver), location: r3c6
- shape: circle, color: white (stroke color: silver), location: r5c1
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_86
|
....................................
|
635142142635524361361524416253253416
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
6x6
### Rules
Each row, column, and 2×3 subgrid must contain all digits from 1 to 6 exactly once. Digits cannot be repeated within any row, column, or 2×3 subgrid.
ie place the digits 1-6 once in every row, column and bold outlined region. Cells separated by a knight's move (in chess) cannot contain a repeated digit. Along thermometers, digits must increase from the bulb end."
### Visual Elements
- line, color: lightgray, coords: r1c3 r2c4
- line, color: lightgray, coords: r2c5 r1c5
- line, color: lightgray, coords: r4c5 r3c4
- line, color: lightgray, coords: r2c1 r3c2
- line, color: lightgray, coords: r2c2 r3c1
- shape: circle, color: lightgray, location: r1c3
- shape: circle, color: lightgray, location: r2c5
- shape: circle, color: lightgray, location: r4c5
- shape: circle, color: lightgray, location: r2c1
- shape: circle, color: lightgray, location: r2c2
|
NfHNgj2gQd
|
Knight Lite
|
Each row, column, and 2×3 subgrid must contain all digits from 1 to 6 exactly once. Digits cannot be repeated within any row, column, or 2×3 subgrid.
ie place the digits 1-6 once in every row, column and bold outlined region. Cells separated by a knight's move (in chess) cannot contain a repeated digit. Along thermometers, digits must increase from the bulb end."
|
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
|
6 3 5 1 4 2
1 4 2 6 3 5
5 2 4 3 6 1
3 6 1 5 2 4
4 1 6 2 5 3
2 5 3 4 1 6
| 6 | 6 |
- line, color: lightgray, coords: r1c3 r2c4
- line, color: lightgray, coords: r2c5 r1c5
- line, color: lightgray, coords: r4c5 r3c4
- line, color: lightgray, coords: r2c1 r3c2
- line, color: lightgray, coords: r2c2 r3c1
- shape: circle, color: lightgray, location: r1c3
- shape: circle, color: lightgray, location: r2c5
- shape: circle, color: lightgray, location: r4c5
- shape: circle, color: lightgray, location: r2c1
- shape: circle, color: lightgray, location: r2c2
|
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=
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_87
|
..............................6.....
|
354621216543543162162435435216621354
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
6x6
### Rules
Each row, column, and 2×3 subgrid must contain all digits from 1 to 6 exactly once. Digits cannot be repeated within any row, column, or 2×3 subgrid.
ie place the digits 1-6 once each into each row, column and 2x3 region. Digits on pink ('renban') lines must form a set of consecutive, non-repeating digits."
### Visual Elements
- line, color: mediumorchid, coords: r2c4 r2c3 r3c3 r3c2
- line, color: mediumorchid, coords: r2c2 r2c1 r1c1
- line, color: mediumorchid, coords: r5c2 r4c3 r3c4 r2c5
- line, color: mediumorchid, coords: r1c5 r1c6 r2c6
- line, color: mediumorchid, coords: r4c5 r4c4 r5c4 r5c3
- line, color: mediumorchid, coords: r6c5 r6c6 r5c6
|
39GDNpTT9J
|
VanDerWaal
|
Each row, column, and 2×3 subgrid must contain all digits from 1 to 6 exactly once. Digits cannot be repeated within any row, column, or 2×3 subgrid.
ie place the digits 1-6 once each into each row, column and 2x3 region. Digits on pink ('renban') lines must form a set of consecutive, non-repeating digits."
|
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
6 . . . . .
|
3 5 4 6 2 1
2 1 6 5 4 3
5 4 3 1 6 2
1 6 2 4 3 5
4 3 5 2 1 6
6 2 1 3 5 4
| 6 | 6 |
- line, color: mediumorchid, coords: r2c4 r2c3 r3c3 r3c2
- line, color: mediumorchid, coords: r2c2 r2c1 r1c1
- line, color: mediumorchid, coords: r5c2 r4c3 r3c4 r2c5
- line, color: mediumorchid, coords: r1c5 r1c6 r2c6
- line, color: mediumorchid, coords: r4c5 r4c4 r5c4 r5c3
- line, color: mediumorchid, coords: r6c5 r6c6 r5c6
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_88
|
....................................
|
421356543621236514615243354162162435
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
6x6
### Rules
"Place the digits 1-6, once each, in every row, column, and region. Region borders divide the blue line into segments with the same sum."
### Visual Elements
- region: r1c1 r2c1 r3c1 r3c2 r4c1 r4c2
- region: r1c2 r1c3 r2c2 r2c3 r3c3 r4c3
- region: r1c4 r1c5 r2c5 r3c5 r4c5 r5c5
- region: r2c4 r3c4 r4c4 r5c4 r6c4 r6c5
- region: r1c6 r2c6 r3c6 r4c6 r5c6 r6c6
- line, color: deepskyblue, coords: r1c4 r1c3 r1c2
- line, color: deepskyblue, coords: r3c4 r2c4 r3c3 r4c3 r3c2 r4c2 r3c1 r2c1
- line, color: deepskyblue, coords: r6c6 r5c6 r4c6 r4c5 r5c5 r4c4 r5c4 r6c5 r6c4 r5c3 r6c2
|
sxsm_KennetsDad_fde30ebd3029c3b874eedb77d3e22a0c
|
Sumthings
|
"Place the digits 1-6, once each, in every row, column, and region. Region borders divide the blue line into segments with the same sum."
|
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
|
4 2 1 3 5 6
5 4 3 6 2 1
2 3 6 5 1 4
6 1 5 2 4 3
3 5 4 1 6 2
1 6 2 4 3 5
| 6 | 6 |
- region: r1c1 r2c1 r3c1 r3c2 r4c1 r4c2
- region: r1c2 r1c3 r2c2 r2c3 r3c3 r4c3
- region: r1c4 r1c5 r2c5 r3c5 r4c5 r5c5
- region: r2c4 r3c4 r4c4 r5c4 r6c4 r6c5
- region: r1c6 r2c6 r3c6 r4c6 r5c6 r6c6
- line, color: deepskyblue, coords: r1c4 r1c3 r1c2
- line, color: deepskyblue, coords: r3c4 r2c4 r3c3 r4c3 r3c2 r4c2 r3c1 r2c1
- line, color: deepskyblue, coords: r6c6 r5c6 r4c6 r4c5 r5c5 r4c4 r5c4 r6c5 r6c4 r5c3 r6c2
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_89
|
....................................
|
354126261543423615615432542361136254
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
6x6
### Rules
"Place the digits 1-6 once each into every row, column, and 2x3 box. Digits on an arrow have the DIFFERENCE of the digit in the attached circle. An inequality symbol \u2018points' to the lower digit. An indicated diagonal is read as a 'Look and Say' clue, where the first digit indicates the amount of times the second digit appears along the diagonal. Digits along the blue line must have the same DIFFERENCE within each box it passes through."
### Visual Elements
- line, color: mediumturquoise, coords: r6c6 r5c5 r4c4 r3c4 r2c5 r1c5
- arrow, color: lightgray, coords (base to tip): r1c3 r2c4 r3c5
- arrow, color: lightgray, coords (base to tip): r1c2 r2c3 r3c4
- arrow, color: lightgray, coords (base to tip): r1c1 r2c2 r3c3
- arrow, color: lightgray, coords (base to tip): r1c4 r2c5 r3c6
- arrow, color: lightgray, coords (base to tip): r3c1 r4c2 r5c1
- diagonal arrow, color: black, in location: r0c0, pointing lower right
- diagonal arrow, color: black, in location: r2c7, pointing lower left
- shape: circle, color: white (stroke color: lightgray), location: r1c3
- shape: circle, color: white (stroke color: lightgray), location: r1c2
- shape: circle, color: white (stroke color: lightgray), location: r1c1
- shape: circle, color: white (stroke color: lightgray), location: r1c4
- shape: circle, color: white (stroke color: lightgray), location: r3c1
- text: 26, shape: circle, color: white, location: r0c0
- text: 15, shape: circle, color: white, location: r2c7
- text: V, shape: circle, color: white, location: between r1c1 and r2c1
|
7p6p7L2L8D
|
What A Twist
|
"Place the digits 1-6 once each into every row, column, and 2x3 box. Digits on an arrow have the DIFFERENCE of the digit in the attached circle. An inequality symbol \u2018points' to the lower digit. An indicated diagonal is read as a 'Look and Say' clue, where the first digit indicates the amount of times the second digit appears along the diagonal. Digits along the blue line must have the same DIFFERENCE within each box it passes through."
|
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
|
3 5 4 1 2 6
2 6 1 5 4 3
4 2 3 6 1 5
6 1 5 4 3 2
5 4 2 3 6 1
1 3 6 2 5 4
| 6 | 6 |
- line, color: mediumturquoise, coords: r6c6 r5c5 r4c4 r3c4 r2c5 r1c5
- arrow, color: lightgray, coords (base to tip): r1c3 r2c4 r3c5
- arrow, color: lightgray, coords (base to tip): r1c2 r2c3 r3c4
- arrow, color: lightgray, coords (base to tip): r1c1 r2c2 r3c3
- arrow, color: lightgray, coords (base to tip): r1c4 r2c5 r3c6
- arrow, color: lightgray, coords (base to tip): r3c1 r4c2 r5c1
- diagonal arrow, color: black, in location: r0c0, pointing lower right
- diagonal arrow, color: black, in location: r2c7, pointing lower left
- shape: circle, color: white (stroke color: lightgray), location: r1c3
- shape: circle, color: white (stroke color: lightgray), location: r1c2
- shape: circle, color: white (stroke color: lightgray), location: r1c1
- shape: circle, color: white (stroke color: lightgray), location: r1c4
- shape: circle, color: white (stroke color: lightgray), location: r3c1
- text: 26, shape: circle, color: white, location: r0c0
- text: 15, shape: circle, color: white, location: r2c7
- text: V, shape: circle, color: white, location: between r1c1 and r2c1
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_90
|
....................................
|
512346463251345162126534254613631425
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
6x6
### Rules
Each row, column, and 2×3 subgrid must contain all digits from 1 to 6 exactly once. Digits cannot be repeated within any row, column, or 2×3 subgrid.
\nDigits an equal distance from the center of a lavender Zipper Line sum to the same total. For odd-length lines, the total is the digit placed in the line's (circled) center. Digits may repeat on a Zipper Line."
### Visual Elements
- line, color: thistle, coords: r1c1 r2c1 r3c1 r3c2 r3c3 r3c4 r2c4 r1c4 r1c3 r1c2
- line, color: thistle, coords: r4c1 r5c1 r5c2 r6c2 r5c3
- line, color: thistle, coords: r4c5 r5c5 r6c5 r6c6 r5c6 r4c6 r3c6
- shape: diamond, color: thistle, location: between r3c3 and r3c4
- shape: circle, color: thistle, location: r5c2
- shape: circle, color: thistle, location: r6c6
|
fpuzzle156dec954708b0efc0594aa17eb797b8
|
Aad-van-ced Zippers
|
Each row, column, and 2×3 subgrid must contain all digits from 1 to 6 exactly once. Digits cannot be repeated within any row, column, or 2×3 subgrid.
\nDigits an equal distance from the center of a lavender Zipper Line sum to the same total. For odd-length lines, the total is the digit placed in the line's (circled) center. Digits may repeat on a Zipper Line."
|
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
|
5 1 2 3 4 6
4 6 3 2 5 1
3 4 5 1 6 2
1 2 6 5 3 4
2 5 4 6 1 3
6 3 1 4 2 5
| 6 | 6 |
- line, color: thistle, coords: r1c1 r2c1 r3c1 r3c2 r3c3 r3c4 r2c4 r1c4 r1c3 r1c2
- line, color: thistle, coords: r4c1 r5c1 r5c2 r6c2 r5c3
- line, color: thistle, coords: r4c5 r5c5 r6c5 r6c6 r5c6 r4c6 r3c6
- shape: diamond, color: thistle, location: between r3c3 and r3c4
- shape: circle, color: thistle, location: r5c2
- shape: circle, color: thistle, location: r6c6
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_91
|
....................................
|
256413413265142536635142564321321654
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
6x6
### Rules
Each row, column, and 2×3 subgrid must contain all digits from 1 to 6 exactly once. Digits cannot be repeated within any row, column, or 2×3 subgrid.
\n\nA given cell \"sees\" a digit if the digit lies in the direction of an arrow on the cell. Each cell with arrows counts the number of digits it sees with the same parity as itself."
### Visual Elements
- vertical arrow, color: black, in location: r4c4, pointing down
- diagonal arrow, color: black, in location: r4c6, pointing lower left
- horizontal arrow, color: black, in location: r4c2, pointing right
- diagonal arrow, color: black, in location: r4c2, pointing lower left
- diagonal arrow, color: black, in location: r2c4, pointing lower left
- vertical arrow, color: black, in location: r2c4, pointing down
- diagonal arrow, color: black, in location: r3c3, pointing lower left
- diagonal arrow, color: black, in location: r3c3, pointing lower right
- vertical arrow, color: black, in location: r5c4, pointing up
- diagonal arrow, color: black, in location: r5c4, pointing lower right
- vertical arrow, color: black, in location: r5c4, pointing down
- diagonal arrow, color: black, in location: r2c2, pointing lower right
- vertical arrow, color: black, in location: r1c3, pointing down
- horizontal arrow, color: black, in location: r1c3, pointing right
- horizontal arrow, color: black, in location: r1c3, pointing left
- diagonal arrow, color: black, in location: r1c3, pointing lower right
|
sxsm_ShintaroFushidaHardy_51c3c9d73cd4298695f1e0b637c95fca
|
Parity vision
|
Each row, column, and 2×3 subgrid must contain all digits from 1 to 6 exactly once. Digits cannot be repeated within any row, column, or 2×3 subgrid.
\n\nA given cell \"sees\" a digit if the digit lies in the direction of an arrow on the cell. Each cell with arrows counts the number of digits it sees with the same parity as itself."
|
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
|
2 5 6 4 1 3
4 1 3 2 6 5
1 4 2 5 3 6
6 3 5 1 4 2
5 6 4 3 2 1
3 2 1 6 5 4
| 6 | 6 |
- vertical arrow, color: black, in location: r4c4, pointing down
- diagonal arrow, color: black, in location: r4c6, pointing lower left
- horizontal arrow, color: black, in location: r4c2, pointing right
- diagonal arrow, color: black, in location: r4c2, pointing lower left
- diagonal arrow, color: black, in location: r2c4, pointing lower left
- vertical arrow, color: black, in location: r2c4, pointing down
- diagonal arrow, color: black, in location: r3c3, pointing lower left
- diagonal arrow, color: black, in location: r3c3, pointing lower right
- vertical arrow, color: black, in location: r5c4, pointing up
- diagonal arrow, color: black, in location: r5c4, pointing lower right
- vertical arrow, color: black, in location: r5c4, pointing down
- diagonal arrow, color: black, in location: r2c2, pointing lower right
- vertical arrow, color: black, in location: r1c3, pointing down
- horizontal arrow, color: black, in location: r1c3, pointing right
- horizontal arrow, color: black, in location: r1c3, pointing left
- diagonal arrow, color: black, in location: r1c3, pointing lower right
|
sclN4IglgJiBcIM4A84FsD6BlAFmAdgFwEMAnAewDEBXObCAgCWIgE9UBWARgGMBmTgTggB2XhAAsAJj4AOAGx9WAM3YBTAAwAjGd0H9FnAiAA0IZMsK1CMUHBIUinZTBDoKEEgGsKAAgCyBd8pEXgBu4qriogB0qlHi3AC0CtwCqjpGIHhgeAA2jrAACsRZTCFgcGAkOOkEFHiYJEROWLiEpF6U1JAE8QxEzOlEFLlwTYQ4tH1eMggyXnCuHt6Dw14EAA5r2UyRADo4ewCCXgDmYMHKOF4O2dleO/DKynD3q14QYKd4XmAKXnXKbw+WS82TAT2+l3+gKIyk4mUqXhIvwIl2IpAA7ojIZgAddspEvABRAicTBXZQ3LzorJktEkdFwK62fCMqE4CjIdSBRG/d6fRnAuCPRnUup/HFzAimLxrIp4EoEAV4IXZBSRdI2bK1CpVWDiVgyUTsbhG7jiGQcCSsbgyLSW/WGs3G8TsC2iEAAX2M+mOTxgAG0ALreinZdBgABeeVYqhDNxG0H9/uAXpThjTGdTHuDyaz6bzmZzmfzJcLhlzpYLWaLVcr+ZrdeLKcDwZAMNOlQTSf9sdUOdj7H7hnEOfYhj75bHg8nw5b5Z7hm4Q9EQ9Yo8X65XM7XOf94nHOf3073s/L3APZ8Mx/PI93+6X5f3W5Pa8vD/95+f55389EF/9f7Hn+I7lqw/5gceYG3r+G7ln+z5/q+/pge+YHPmBO6tnSDIBqA6IEEw+QkC0XYfpEgjGoukRIdwkTyOetE/iAOIEBAAAyFzHHUMCqJE7D7iAnAkNkDROAAxKoklSekdRgJw7g4E8CbcKmID4YRxEsgGZGCKIUiGKwkT6iBZF8Ow+mGaoUjQcxyisRxOBcZgPF8QJQkiY0sASVJkkydg8mKXAymqepREkdpjFXuRxo5pF7B0dac62fZnHcdAvH8d6wmiV5Pm+cYskBUpMAqemakEWFWmJjpelRcZsV0eZUVWTZLHsalznpa5WUeeJeWqH5ckKcV0ClXhFWacq2nxbp+m0fVk6NXN0TWUlbUOU5LmZYJ2WeSA3k+YNRVBSVIUTeF1UzZRjGjglDHUWtdntY5aUZW5u19XlR3DSdo1nRpF1JuI5G1cDC17ktw4ra1T0ba93U7b1uVfQV/k/cFZWhZNpHA7NUOzYekPA2ZUiPSlL2dW9PU5ft/XfYFGPjQDVVJrEUiCFRSFRDEHM3a260dVt71I7TKMZGjDOnZj50swBIPLQTcGQ7RJNk89m1ddt7k0wd0mo0Nkt/dLzNTdVUQUfdXN3Zzatw5TCPa3tuv5eLBsjWN5Um6RM21T7pOLSTUWq/zsOC5rws63T+vHYznuVabSa8RbUNIbx9Ep7bYdU4jkdi4V6NS0z8ekbxUHRe+pdQ/RmcU0L1NO1Hrsx4XcfY9pldg+z/bUVDPM1xr2eO59h3RwXRtF231VJ6D8vd4HxPmf38Nax9yMj03Y8qYGHpAA=
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_92
|
....................................
|
213645456132145263632451524316361524
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
6x6
### Rules
"Standard rules of Sudoku apply!\n\nIn every row and column, strings of 3 digits are never all even nor all odd.\n\nDigits in a cage sum to the total in the top left.\n\nDigits on a thermometer strictly increase from the bulb to the tip."
### Visual Elements
- killer cage (value 6): r1c1 r2c1
- killer cage (value 6): r6c5 r6c6
- killer cage (value 7): r4c6 r5c6
- killer cage (value 7): r1c6 r2c6
- killer cage (value 7): r1c4 r2c4
- killer cage (value 7): r3c3 r4c3
- line, color: lightgray, coords: r4c5 r5c4
- line, color: lightgray, coords: r3c1 r4c1
- shape: circle, color: lightgray, location: r5c4
- shape: circle, color: lightgray, location: r3c1
|
sxsm_Lulero_64d38aa33c0cc962c7d6e6c7ff3ffe01
|
Cornered Parity
|
"Standard rules of Sudoku apply!\n\nIn every row and column, strings of 3 digits are never all even nor all odd.\n\nDigits in a cage sum to the total in the top left.\n\nDigits on a thermometer strictly increase from the bulb to the tip."
|
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
|
2 1 3 6 4 5
4 5 6 1 3 2
1 4 5 2 6 3
6 3 2 4 5 1
5 2 4 3 1 6
3 6 1 5 2 4
| 6 | 6 |
- killer cage (value 6): r1c1 r2c1
- killer cage (value 6): r6c5 r6c6
- killer cage (value 7): r4c6 r5c6
- killer cage (value 7): r1c6 r2c6
- killer cage (value 7): r1c4 r2c4
- killer cage (value 7): r3c3 r4c3
- line, color: lightgray, coords: r4c5 r5c4
- line, color: lightgray, coords: r3c1 r4c1
- shape: circle, color: lightgray, location: r5c4
- shape: circle, color: lightgray, location: r3c1
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_93
|
....................................
|
643125152436521643436512315264264351
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
6x6
### Rules
Each row, column, and 2×3 subgrid must contain all digits from 1 to 6 exactly once. Digits cannot be repeated within any row, column, or 2×3 subgrid.
\nDigits separated by a black dot are in a 1:2 ratio.\nThe difference between two adjacent digits on a coloured line indicates exactly how many pairs of adjacent digits along that line have that exact difference."
### Visual Elements
- line, color: plum, coords: r1c1 r1c2 r2c3
- line, color: plum, coords: r6c6 r5c6 r4c5 r3c5 r4c4
- line, color: lightskyblue, coords: r3c6 r2c6 r2c5 r2c4 r3c3
- line, color: palegreen, coords: r3c2 r4c3 r5c4 r5c5 r4c6
- line, color: burlywood, coords: r5c2 r4c2 r3c1
- shape: circle, color: black, location: between r2c3 and r2c4
|
sxsm_SujoykuandMartySears_afc27f9a61c48f209cbef0310385b36c
|
Differences Count - part 2
|
Each row, column, and 2×3 subgrid must contain all digits from 1 to 6 exactly once. Digits cannot be repeated within any row, column, or 2×3 subgrid.
\nDigits separated by a black dot are in a 1:2 ratio.\nThe difference between two adjacent digits on a coloured line indicates exactly how many pairs of adjacent digits along that line have that exact difference."
|
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
|
6 4 3 1 2 5
1 5 2 4 3 6
5 2 1 6 4 3
4 3 6 5 1 2
3 1 5 2 6 4
2 6 4 3 5 1
| 6 | 6 |
- line, color: plum, coords: r1c1 r1c2 r2c3
- line, color: plum, coords: r6c6 r5c6 r4c5 r3c5 r4c4
- line, color: lightskyblue, coords: r3c6 r2c6 r2c5 r2c4 r3c3
- line, color: palegreen, coords: r3c2 r4c3 r5c4 r5c5 r4c6
- line, color: burlywood, coords: r5c2 r4c2 r3c1
- shape: circle, color: black, location: between r2c3 and r2c4
|
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=
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_94
|
....................................
|
436521125346563412214653341265652134
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
6x6
### Rules
Each row, column, and 2×3 subgrid must contain all digits from 1 to 6 exactly once. Digits cannot be repeated within any row, column, or 2×3 subgrid.
\n\nDraw 6 lines, each with a different turquoise spot at both ends. Each line must occupy at least 3 cells, and may move orthogonally and diagonally. Lines may not branch, cross each other, or share cells.\n\nEach line is a 'same difference' line. Every pair of adjacent cells along a line has the same difference - this is its 'difference value.'\n\nEvery line has a different 'difference value'.\n\nDigits in a cage sum to the total in the corner."
### Visual Elements
- killer cage (value 11): r1c3 r2c3
- killer cage (value 6): r6c3 r6c4 r6c5
- killer cage (value 8): r1c4 r2c4
- shape: circle, color: aquamarine, location: r5c2
- shape: circle, color: aquamarine, location: r2c5
- shape: circle, color: aquamarine, location: r1c3
- shape: circle, color: aquamarine, location: r6c5
- shape: circle, color: aquamarine, location: r4c6
- shape: circle, color: aquamarine, location: r6c3
- shape: circle, color: aquamarine, location: r5c4
- shape: circle, color: aquamarine, location: r6c2
- shape: circle, color: aquamarine, location: r4c1
- shape: circle, color: aquamarine, location: r5c3
- shape: circle, color: aquamarine, location: r2c3
- shape: circle, color: aquamarine, location: r1c6
|
sxsm_MartySears_34765f39d1650d97cd45efcec24f20c3
|
Twelve Spots
|
Each row, column, and 2×3 subgrid must contain all digits from 1 to 6 exactly once. Digits cannot be repeated within any row, column, or 2×3 subgrid.
\n\nDraw 6 lines, each with a different turquoise spot at both ends. Each line must occupy at least 3 cells, and may move orthogonally and diagonally. Lines may not branch, cross each other, or share cells.\n\nEach line is a 'same difference' line. Every pair of adjacent cells along a line has the same difference - this is its 'difference value.'\n\nEvery line has a different 'difference value'.\n\nDigits in a cage sum to the total in the corner."
|
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
|
4 3 6 5 2 1
1 2 5 3 4 6
5 6 3 4 1 2
2 1 4 6 5 3
3 4 1 2 6 5
6 5 2 1 3 4
| 6 | 6 |
- killer cage (value 11): r1c3 r2c3
- killer cage (value 6): r6c3 r6c4 r6c5
- killer cage (value 8): r1c4 r2c4
- shape: circle, color: aquamarine, location: r5c2
- shape: circle, color: aquamarine, location: r2c5
- shape: circle, color: aquamarine, location: r1c3
- shape: circle, color: aquamarine, location: r6c5
- shape: circle, color: aquamarine, location: r4c6
- shape: circle, color: aquamarine, location: r6c3
- shape: circle, color: aquamarine, location: r5c4
- shape: circle, color: aquamarine, location: r6c2
- shape: circle, color: aquamarine, location: r4c1
- shape: circle, color: aquamarine, location: r5c3
- shape: circle, color: aquamarine, location: r2c3
- shape: circle, color: aquamarine, location: r1c6
|
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=
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_95
|
....................................
|
241536563124614352325641436215152463
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
6x6
### Rules
Each row, column, and 2×3 subgrid must contain all digits from 1 to 6 exactly once. Digits cannot be repeated within any row, column, or 2×3 subgrid.
\n\nDigits along a diagonal marked by an arrow sum to the digit on the arrow, if one is given.\n\nAny digit along an 'arrow diagonal' indicates exactly how many arrow diagonals contain that digit.\n\nEg: if there is a digit 3 somewhere along an arrow diagonal, then exactly 3 arrow diagonals contain at least one 3."
### Visual Elements
- diagonal arrow, color: cornflowerblue, in location: r7c3, pointing upper left
- diagonal arrow, color: cornflowerblue, in location: r7c4, pointing upper left
- diagonal arrow, color: cornflowerblue, in location: r6c7, pointing upper left
- diagonal arrow, color: cornflowerblue, in location: r5c7, pointing upper left
- diagonal arrow, color: cornflowerblue, in location: r4c7, pointing upper left
- diagonal arrow, color: cornflowerblue, in location: r3c7, pointing upper left
- diagonal arrow, color: cornflowerblue, in location: r3c0, pointing upper right
- text: 7, shape: circle, location: r3c7
- text: 9, shape: circle, location: r4c7
- text: 8, shape: circle, location: r7c4
- text: ?, shape: circle, location: r7c3
- text: ?, shape: circle, location: r6c7
- text: ?, shape: circle, location: r5c7
- text: ?, shape: circle, location: r3c0
|
sxsm_MartySears_c823eb1b164c94ba20474cdc8712bbe5
|
Little Killer Counting
|
Each row, column, and 2×3 subgrid must contain all digits from 1 to 6 exactly once. Digits cannot be repeated within any row, column, or 2×3 subgrid.
\n\nDigits along a diagonal marked by an arrow sum to the digit on the arrow, if one is given.\n\nAny digit along an 'arrow diagonal' indicates exactly how many arrow diagonals contain that digit.\n\nEg: if there is a digit 3 somewhere along an arrow diagonal, then exactly 3 arrow diagonals contain at least one 3."
|
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
|
2 4 1 5 3 6
5 6 3 1 2 4
6 1 4 3 5 2
3 2 5 6 4 1
4 3 6 2 1 5
1 5 2 4 6 3
| 6 | 6 |
- diagonal arrow, color: cornflowerblue, in location: r7c3, pointing upper left
- diagonal arrow, color: cornflowerblue, in location: r7c4, pointing upper left
- diagonal arrow, color: cornflowerblue, in location: r6c7, pointing upper left
- diagonal arrow, color: cornflowerblue, in location: r5c7, pointing upper left
- diagonal arrow, color: cornflowerblue, in location: r4c7, pointing upper left
- diagonal arrow, color: cornflowerblue, in location: r3c7, pointing upper left
- diagonal arrow, color: cornflowerblue, in location: r3c0, pointing upper right
- text: 7, shape: circle, location: r3c7
- text: 9, shape: circle, location: r4c7
- text: 8, shape: circle, location: r7c4
- text: ?, shape: circle, location: r7c3
- text: ?, shape: circle, location: r6c7
- text: ?, shape: circle, location: r5c7
- text: ?, shape: circle, location: r3c0
|
sclN4IglgJiBcIM4A84FsD6BZAhgJwC4E8BlAUxzlQGMAOAJgGZiAjARhYDYAWCgTg8cxoAGDgHYuEaiOY1GjYgFYQAGhDJiuTBEwaYoOAHsArtgrEYIQoYj6A1oYAEWG8Wz2AbkJocAdIKrfmKgBaNhFMNnkqKmUQXDBcABszWAAZeMTiewBpMASk1wBhIwA7OOKAcxjMQ1wAC31scyw8fHsSMhjsQyS4cwA5BuRMBPs2BDZ7OCtbBy6e+0wAB0WE/G8AHWLNgBEwcvi4BYT9CoX7CDBMcpPh+yHsZwh7RlbMYoXsbH0Ad0nDZHsuH0gNqmQu+1w9hOIMyOC+3yU9jAADMocVMmBDvs3MRihstsUAILFVrg+JHE7lBbvADkcJ+50u12KwxpSOKFwo2mIh2ICEwFESrXqvyGJI+8MZVxuCUOFBOGjA7zq2kZEPxmwAouVoEjUXUXBjDpg1eS6JN9GpvqDsLDjqc3hKGRdpSyEoiDe8+QKhfZzfTfi7mcM5QrMEqFpCkpg4JCTpk6N4YgYEjUwCdzF5mPI6BE2HRpBw2MwOHR5PQaPJOCXczRs9mvPmQABfFRc8o8mAAbQAum3iHlCGAAF7JeSCft5XrQLtd4Ct+dKRfLhfNvtz1dLzcr9crrf7ndKDcH7er3enk9b8+Xvfznt9kC2/YnaezrsTwTrifML9KGjr5glE/I9AJ/EC/3vI93yUOhfw4X95AAmCkPg8DEPXLsaCA9csLAzCIKPOhsMIpQ8KI/8MKw2Cjyw1D8MQkjqK7Ii6KI9CoI4Yiu04vDOP/I95C4wS8MEiiOOQo9OLoziGK7QSmMEujBPQh9DA5FwEkwfBX1AUxShcbsaG8QS2GMh9vkgOoYAnEBQT2WpcBgZhfGYbgVFjL5nHMYp4xiXA+Uc2ARBiZEFSHUcYDoHwqDbfRjkaWAAGJBBS1KqgqJJrJUL41IgYgoGgXAumIBcQD0/yEuY4ylFMhiQAsiArOgGy7PKBynJctz4CK2xkhAHz0T8gLzG4EKwpHZIou8GKyrihpzGS1KUvS8pMua7KSjygqisMEqlzK3EKu7WqYLMlQGqalriHswLnMEVz3J6rzYAGswVH8hBApAaIVFC0pwsm6LYvihaluWlQ3lW5IbJy9TtuK0ryoMmcTqMuqLtqLLbOutrbs6x7PL616hs+8wAH4xv+ibIqB2aQaSgAxJnmZWtaYc2/KYB2vbdMO5G5Oq2rzMszH1uxm6OvurqPN67zfPe4bYAp37xoi6Appm+V6ZARLmZZiGMuhjbcs5wqEf2pHKp8EyzvqkWsda9roDuh7usJuXBoV0mlcp3AAZp6bgfmxm9YZ1mjcfDn4d2xG+cqtGlCCQRbYxh2cadl3paeon5diRWQGVkA/r96n1dprXg510Ow4NqGsdhrauYRh8Ax0+qtIABX0JVcFfLtTJoNg2D/bxB7YddTMENgYqMqeqEg7HNBSXFykugJOLpyvEvkERuEwZED+RPzajACgbHROBpxoUrvk77vSj7geh9OseJ98afTrnhfQSXle15LIOCUdY7z3ofI+70T5nwvlfG+d8e593kKPZ+T9x4CXfjFSe09v6kAgMvCo/8N4VyAdvXe+9D7H1PufHkMD9q33wF3eB3ZuJIOHig9cPg541XQdg3++DRbJwAZvYhICyEHwoVA6hMBr60LgQ/JhiYx5cNfoRdBXCv4Ph/rgv+/D16AIWiIsB4iqGXykbA+h99e5MKMoothNFVGYPnhonBeDV46MEUQ/RpDDEQModA0xMjzGMJnJhFhidk7KJCZwpO3CnG8NcdZXRQjPGgPIT4iRJjoDXx7M2IAA
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_96
|
.................................................................................
|
183624759926157483574839261748392615392516847615748392461973528839265174257481936
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
9x9
### Rules
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
\n\nCells one chess knight's move apart may not contain the same digit.\n\nDigits joined by a white dot are consecutive. All possible dots are given.\n\nDigits joined by a V sum to 5. All such pairs are given.\n\nGrey line is a palindrome: its digits read the same in either direction."
### Visual Elements
- line, color: darkslateblue, coords: r1c5 r2c5 r2c6 r2c7 r3c6 r4c5 r5c4 r6c3 r7c4 r8c3 r9c4 r9c3 r9c2 r9c1
- shape: circle, color: white (stroke color: black), location: between r7c5 and r8c5
- shape: circle, color: white (stroke color: black), location: between r8c5 and r8c6
- text: V, shape: circle, color: white, location: between r5c5 and r6c5
- text: V, shape: circle, color: white, location: between r4c8 and r5c8
- global: anti-knight
|
sxsm_aqjhs_b937601a7d835056c690e30b8bb984e4
|
sphinx of black quartz
|
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
\n\nCells one chess knight's move apart may not contain the same digit.\n\nDigits joined by a white dot are consecutive. All possible dots are given.\n\nDigits joined by a V sum to 5. All such pairs are given.\n\nGrey line is a palindrome: its digits read the same in either direction."
|
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
|
1 8 3 6 2 4 7 5 9
9 2 6 1 5 7 4 8 3
5 7 4 8 3 9 2 6 1
7 4 8 3 9 2 6 1 5
3 9 2 5 1 6 8 4 7
6 1 5 7 4 8 3 9 2
4 6 1 9 7 3 5 2 8
8 3 9 2 6 5 1 7 4
2 5 7 4 8 1 9 3 6
| 9 | 9 |
- line, color: darkslateblue, coords: r1c5 r2c5 r2c6 r2c7 r3c6 r4c5 r5c4 r6c3 r7c4 r8c3 r9c4 r9c3 r9c2 r9c1
- shape: circle, color: white (stroke color: black), location: between r7c5 and r8c5
- shape: circle, color: white (stroke color: black), location: between r8c5 and r8c6
- text: V, shape: circle, color: white, location: between r5c5 and r6c5
- text: V, shape: circle, color: white, location: between r4c8 and r5c8
- global: anti-knight
|
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=
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_97
|
.................................................................................
|
925348167146725893783961254598217346417836529632594781361482975874159632259673418
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
9x9
### Rules
"Normal sudoku rules apply, and all clues are standard. \n\nArrows: Digits along an arrow line sum to the digit in the attached circle.\n\nKiller Cages: Digits in a cage sum to the value indicated in the top left corner, if given. Digits may not repeat in a cage. \n\nPartial Kropki: Digits separated by a white dot are consecutive."
### Visual Elements
- killer cage: r4c8 r5c8 r6c8 r7c8 r8c4 r8c5 r8c6 r8c7 r8c8
- killer cage (value 15): r8c1 r8c2
- killer cage (value 15): r1c8 r2c8
- killer cage (value 15): r1c4 r1c5 r1c6
- killer cage (value 15): r4c1 r5c1 r6c1
- arrow, color: darkgray, coords (base to tip): r9c9 r8c9 r7c9 r6c9
- arrow, color: darkgray, coords (base to tip): r9c9 r9c8 r9c7 r9c6
- arrow, color: darkgray, coords (base to tip): r8c3 r7c3 r6c3 r5c2
- arrow, color: darkgray, coords (base to tip): r3c8 r3c7 r3c6 r2c5
- arrow, color: darkgray, coords (base to tip): r1c1 r2c2 r3c3 r4c4
- arrow, color: darkgray, coords (base to tip): r7c7 r6c6 r5c5 r4c4
- arrow, color: darkgray, coords (base to tip): r1c9 r2c9 r3c9
- shape: circle, color: white (stroke color: darkgray), location: r9c9
- shape: circle, color: white (stroke color: darkgray), location: r8c3
- shape: circle, color: white (stroke color: darkgray), location: r3c8
- shape: circle, color: white (stroke color: darkgray), location: r1c1
- shape: circle, color: white (stroke color: darkgray), location: r7c7
- shape: circle, color: white (stroke color: darkgray), location: r1c9
- shape: circle, color: white (stroke color: black), location: between r3c2 and r4c2
- shape: circle, color: white (stroke color: black), location: between r9c4 and r9c5
|
sxsm_MattTressel_776cd909f14b7625daa106abaa32f8e9
|
Leftovers
|
"Normal sudoku rules apply, and all clues are standard. \n\nArrows: Digits along an arrow line sum to the digit in the attached circle.\n\nKiller Cages: Digits in a cage sum to the value indicated in the top left corner, if given. Digits may not repeat in a cage. \n\nPartial Kropki: Digits separated by a white dot are consecutive."
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9 2 5 3 4 8 1 6 7
1 4 6 7 2 5 8 9 3
7 8 3 9 6 1 2 5 4
5 9 8 2 1 7 3 4 6
4 1 7 8 3 6 5 2 9
6 3 2 5 9 4 7 8 1
3 6 1 4 8 2 9 7 5
8 7 4 1 5 9 6 3 2
2 5 9 6 7 3 4 1 8
| 9 | 9 |
- killer cage: r4c8 r5c8 r6c8 r7c8 r8c4 r8c5 r8c6 r8c7 r8c8
- killer cage (value 15): r8c1 r8c2
- killer cage (value 15): r1c8 r2c8
- killer cage (value 15): r1c4 r1c5 r1c6
- killer cage (value 15): r4c1 r5c1 r6c1
- arrow, color: darkgray, coords (base to tip): r9c9 r8c9 r7c9 r6c9
- arrow, color: darkgray, coords (base to tip): r9c9 r9c8 r9c7 r9c6
- arrow, color: darkgray, coords (base to tip): r8c3 r7c3 r6c3 r5c2
- arrow, color: darkgray, coords (base to tip): r3c8 r3c7 r3c6 r2c5
- arrow, color: darkgray, coords (base to tip): r1c1 r2c2 r3c3 r4c4
- arrow, color: darkgray, coords (base to tip): r7c7 r6c6 r5c5 r4c4
- arrow, color: darkgray, coords (base to tip): r1c9 r2c9 r3c9
- shape: circle, color: white (stroke color: darkgray), location: r9c9
- shape: circle, color: white (stroke color: darkgray), location: r8c3
- shape: circle, color: white (stroke color: darkgray), location: r3c8
- shape: circle, color: white (stroke color: darkgray), location: r1c1
- shape: circle, color: white (stroke color: darkgray), location: r7c7
- shape: circle, color: white (stroke color: darkgray), location: r1c9
- shape: circle, color: white (stroke color: black), location: between r3c2 and r4c2
- shape: circle, color: white (stroke color: black), location: between r9c4 and r9c5
|
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
|
Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_98
|
.................................................................................
|
963128745158734269472965318247319586516482937839657124624591873385276491791843652
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
9x9
### Rules
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
Put the digits 1 to 9 once each into each row, column and 3x3 box.\nShell: Box borders divide the shell (blue line) into segments that add to the same sum. Different segments in the same box sum individually.\nTentacles: Adjacent digits along a tentacle (green line) differ by at least 5.\nFish: The fish (pink line) consists of a set of consecutive, non-repeating digits in some order.\nEyes: Digits on a eye (black dot) are in a 1:2 ratio.\nBubbles: Digits on a bubble (white dot) are consecutive."
### Visual Elements
- line, color: deepskyblue, coords: r7c8 r7c7 r7c6 r7c5 r7c4 r6c3 r5c3 r4c4 r4c5 r5c6 r6c5 r5c4
- line, color: deepskyblue, coords: r7c6 r6c7 r5c7 r4c7 r3c6 r2c5 r2c4 r2c3 r3c2 r4c1 r5c1 r6c1 r7c1 r8c2 r9c3 r9c4 r9c5 r9c6 r9c7 r9c8 r8c7
- line, color: lightgreen, coords: r7c9 r8c8 r9c9
- line, color: lightgreen, coords: r8c8 r8c9
- line, color: violet, coords: r3c9 r2c8 r3c7 r2c6 r1c7 r2c8
- line, color: violet, coords: r2c8 r1c9
- shape: circle, color: black, location: between r7c7 and r8c7
- shape: circle, color: black, location: between r2c6 and r2c7
- shape: circle, color: white (stroke color: black), location: between r2c5 and r2c6
- shape: circle, color: white (stroke color: black), location: between r1c5 and r2c5
- shape: circle, color: white (stroke color: black), location: between r6c9 and r7c9
- shape: circle, color: white (stroke color: black), location: between r6c7 and r6c8
- shape: circle, color: white (stroke color: black), location: between r1c4 and r1c5
- shape: circle, color: white (stroke color: black), location: between r2c9 and r3c9
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sxsm_Oddlyeven_58a9a5d818d945d69518906163712920
|
Nautilus
|
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
Put the digits 1 to 9 once each into each row, column and 3x3 box.\nShell: Box borders divide the shell (blue line) into segments that add to the same sum. Different segments in the same box sum individually.\nTentacles: Adjacent digits along a tentacle (green line) differ by at least 5.\nFish: The fish (pink line) consists of a set of consecutive, non-repeating digits in some order.\nEyes: Digits on a eye (black dot) are in a 1:2 ratio.\nBubbles: Digits on a bubble (white dot) are consecutive."
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9 6 3 1 2 8 7 4 5
1 5 8 7 3 4 2 6 9
4 7 2 9 6 5 3 1 8
2 4 7 3 1 9 5 8 6
5 1 6 4 8 2 9 3 7
8 3 9 6 5 7 1 2 4
6 2 4 5 9 1 8 7 3
3 8 5 2 7 6 4 9 1
7 9 1 8 4 3 6 5 2
| 9 | 9 |
- line, color: deepskyblue, coords: r7c8 r7c7 r7c6 r7c5 r7c4 r6c3 r5c3 r4c4 r4c5 r5c6 r6c5 r5c4
- line, color: deepskyblue, coords: r7c6 r6c7 r5c7 r4c7 r3c6 r2c5 r2c4 r2c3 r3c2 r4c1 r5c1 r6c1 r7c1 r8c2 r9c3 r9c4 r9c5 r9c6 r9c7 r9c8 r8c7
- line, color: lightgreen, coords: r7c9 r8c8 r9c9
- line, color: lightgreen, coords: r8c8 r8c9
- line, color: violet, coords: r3c9 r2c8 r3c7 r2c6 r1c7 r2c8
- line, color: violet, coords: r2c8 r1c9
- shape: circle, color: black, location: between r7c7 and r8c7
- shape: circle, color: black, location: between r2c6 and r2c7
- shape: circle, color: white (stroke color: black), location: between r2c5 and r2c6
- shape: circle, color: white (stroke color: black), location: between r1c5 and r2c5
- shape: circle, color: white (stroke color: black), location: between r6c9 and r7c9
- shape: circle, color: white (stroke color: black), location: between r6c7 and r6c8
- shape: circle, color: white (stroke color: black), location: between r1c4 and r1c5
- shape: circle, color: white (stroke color: black), location: between r2c9 and r3c9
|
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Complete the sudoku board based on the rules and visual elements.
|
sudoku_bench_99
|
3............................7.....2.......................8...........6........5
|
395782461746391528128654397457839612831265749269147853672518934584923176913476285
|
### Available Actions:
1. Value Setting
- Format: `value(N, rXcY)`
- Description
- Set a definitive value in a specific cell
- N is a number between 1-9
- Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3
2. Candidate Management
- Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)`
- Description:
- Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell.
- CANDIDATE_NUMBER is a number between 1-9
- Operations:
- `+`: Add candidate
- `-`: Remove candidate
- Examples:
- `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4
- `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1
3. Color Management
- Format: `color(OPERATION, COLOR_NUMBER, rXcY)`
- Description:
- Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board.
- Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships.
- COLOR_NUMBER is a number between 0-9
- Operations:
- `+`: Add color
- `-`: Remove color
- Examples:
- `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4
- `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1
4. Clear Operations
- Format: `clear(K, rXcY)`
- Description:
- Clear cell contents
- Clear Types:
- `0`: Clear only the definitive value
- Examples:
- `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1
### Goal
Complete the sudoku board based on the rules and visual elements.
### Size
9x9
### Rules
"Normal sudoku rules apply: Place the digits 1 to 9 once each in every row, column and 3x3 box\n\nThermometers: Digits on a grey thermometer must strictly increase from the bulb end"
### Visual Elements
- line, color: lightgray, coords: r6c4 r5c4 r4c5 r3c6 r3c5 r3c4 r3c3
- line, color: lightgray, coords: r6c4 r6c5 r5c6 r4c7 r5c7 r6c7 r7c7
- line, color: lightgray, coords: r1c9 r2c8 r3c7
- line, color: lightgray, coords: r8c1 r7c1 r7c2 r6c3
- line, color: lightgray, coords: r9c2 r9c3 r8c3 r7c4
- shape: circle, color: lightgray, location: r6c4
- shape: circle, color: lightgray, location: r1c9
- shape: circle, color: lightgray, location: r8c1
- shape: circle, color: lightgray, location: r9c2
|
sxsm_damo_89_aa22915d6e85065064eaca5a0cd0d503
|
MC Hammer
|
"Normal sudoku rules apply: Place the digits 1 to 9 once each in every row, column and 3x3 box\n\nThermometers: Digits on a grey thermometer must strictly increase from the bulb end"
|
3 . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . 7 . . . . . 2
. . . . . . . . .
. . . . . . . . .
. . . . . 8 . . .
. . . . . . . . 6
. . . . . . . . 5
|
3 9 5 7 8 2 4 6 1
7 4 6 3 9 1 5 2 8
1 2 8 6 5 4 3 9 7
4 5 7 8 3 9 6 1 2
8 3 1 2 6 5 7 4 9
2 6 9 1 4 7 8 5 3
6 7 2 5 1 8 9 3 4
5 8 4 9 2 3 1 7 6
9 1 3 4 7 6 2 8 5
| 9 | 9 |
- line, color: lightgray, coords: r6c4 r5c4 r4c5 r3c6 r3c5 r3c4 r3c3
- line, color: lightgray, coords: r6c4 r6c5 r5c6 r4c7 r5c7 r6c7 r7c7
- line, color: lightgray, coords: r1c9 r2c8 r3c7
- line, color: lightgray, coords: r8c1 r7c1 r7c2 r6c3
- line, color: lightgray, coords: r9c2 r9c3 r8c3 r7c4
- shape: circle, color: lightgray, location: r6c4
- shape: circle, color: lightgray, location: r1c9
- shape: circle, color: lightgray, location: r8c1
- shape: circle, color: lightgray, location: r9c2
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Complete the sudoku board based on the rules and visual elements.
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