id
int32 | category
string | images
images list | question
string | question_text
string | answer
string | difficulty
int32 | metric_info
string | initial_state
string |
|---|---|---|---|---|---|---|---|---|
1
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [3, 4, 5, 7]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
(3 × 4) + (5 + 7)
| 1
|
{'score_function': '24points_evaluator'}
|
{'numbers': [3, 4, 5, 7]}
|
|
2
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [3, 7, 8, 8]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
3 × (7 + (8 ÷ 8))
| 1
|
{'score_function': '24points_evaluator'}
|
{'numbers': [3, 7, 8, 8]}
|
|
3
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [1, 1, 3, 4]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
(1 + 1) × (3 × 4)
| 1
|
{'score_function': '24points_evaluator'}
|
{'numbers': [1, 1, 3, 4]}
|
|
4
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [1, 3, 8, 9]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
(1 ÷ 3) × (8 × 9)
| 1
|
{'score_function': '24points_evaluator'}
|
{'numbers': [1, 3, 8, 9]}
|
|
5
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [2, 6, 6, 6]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
(2 × 6) + (6 + 6)
| 1
|
{'score_function': '24points_evaluator'}
|
{'numbers': [2, 6, 6, 6]}
|
|
6
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [2, 8, 9, 9]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
(2 + (9 ÷ 9)) × 8
| 1
|
{'score_function': '24points_evaluator'}
|
{'numbers': [2, 8, 9, 9]}
|
|
7
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [1, 4, 5, 5]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
4 - (1 - 5) × 5
| 2
|
{'score_function': '24points_evaluator'}
|
{'numbers': [1, 4, 5, 5]}
|
|
8
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [2, 4, 5, 10]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
(2 × 5) + (4 + 10)
| 2
|
{'score_function': '24points_evaluator'}
|
{'numbers': [2, 4, 5, 10]}
|
|
9
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [4, 7, 10, 11]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
4 × (7 + (10 - 11))
| 2
|
{'score_function': '24points_evaluator'}
|
{'numbers': [4, 7, 10, 11]}
|
|
10
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [1, 5, 10, 12]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
(1 ÷ 5) × (10 × 12)
| 2
|
{'score_function': '24points_evaluator'}
|
{'numbers': [1, 5, 10, 12]}
|
|
11
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [1, 3, 4, 9]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
(1 + (3 × 9)) - 4
| 2
|
{'score_function': '24points_evaluator'}
|
{'numbers': [1, 3, 4, 9]}
|
|
12
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [1, 3, 4, 5]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
(1 + 3) + (4 × 5)
| 2
|
{'score_function': '24points_evaluator'}
|
{'numbers': [1, 3, 4, 5]}
|
|
13
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [6, 10, 11, 18]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
6 - (10 - 11) × 18
| 3
|
{'score_function': '24points_evaluator'}
|
{'numbers': [6, 10, 11, 18]}
|
|
14
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [2, 9, 17, 18]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
(17 - (2 + 9)) + 18
| 3
|
{'score_function': '24points_evaluator'}
|
{'numbers': [2, 9, 17, 18]}
|
|
15
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [1, 4, 12, 18]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
(1 + (4 ÷ 12)) × 18
| 3
|
{'score_function': '24points_evaluator'}
|
{'numbers': [1, 4, 12, 18]}
|
|
16
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [7, 8, 13, 19]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
(7 × 8) - (13 + 19)
| 3
|
{'score_function': '24points_evaluator'}
|
{'numbers': [7, 8, 13, 19]}
|
|
17
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [8, 10, 14, 19]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
(10 - 8) × 19 - 14
| 3
|
{'score_function': '24points_evaluator'}
|
{'numbers': [8, 10, 14, 19]}
|
|
18
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [3, 4, 16, 18]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
(3 × 4) × (18 - 16)
| 3
|
{'score_function': '24points_evaluator'}
|
{'numbers': [3, 4, 16, 18]}
|
|
19
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [4, 14, 15, 20]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
(4 + 14) ÷ 15 × 20
| 4
|
{'score_function': '24points_evaluator'}
|
{'numbers': [4, 14, 15, 20]}
|
|
20
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [1, 5, 10, 18]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
(1 - 5) + (10 + 18)
| 4
|
{'score_function': '24points_evaluator'}
|
{'numbers': [1, 5, 10, 18]}
|
|
21
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [6, 10, 11, 19]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
(6 + (10 - 11)) + 19
| 4
|
{'score_function': '24points_evaluator'}
|
{'numbers': [6, 10, 11, 19]}
|
|
22
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [2, 12, 15, 19]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
(2 - 12) + (15 + 19)
| 4
|
{'score_function': '24points_evaluator'}
|
{'numbers': [2, 12, 15, 19]}
|
|
23
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [3, 7, 11, 12]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
3 × (7 - 11 + 12)
| 4
|
{'score_function': '24points_evaluator'}
|
{'numbers': [3, 7, 11, 12]}
|
|
24
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [4, 9, 11, 16]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
(4 × (11 - 9)) + 16
| 4
|
{'score_function': '24points_evaluator'}
|
{'numbers': [4, 9, 11, 16]}
|
|
25
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [3, 5, 7, 23]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
(3 + (5 - 7)) + 23
| 5
|
{'score_function': '24points_evaluator'}
|
{'numbers': [3, 5, 7, 23]}
|
|
26
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [6, 8, 23, 25]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
(6 × 8) ÷ (25 - 23)
| 5
|
{'score_function': '24points_evaluator'}
|
{'numbers': [6, 8, 23, 25]}
|
|
27
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [3, 5, 7, 21]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
(3 + 5) ÷ 7 × 21
| 5
|
{'score_function': '24points_evaluator'}
|
{'numbers': [3, 5, 7, 21]}
|
|
28
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [3, 8, 13, 23]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
(3 × 13) + (8 - 23)
| 5
|
{'score_function': '24points_evaluator'}
|
{'numbers': [3, 8, 13, 23]}
|
|
29
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [10, 14, 16, 17]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
10 - (14 × (16 - 17))
| 5
|
{'score_function': '24points_evaluator'}
|
{'numbers': [10, 14, 16, 17]}
|
|
30
|
24Points
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
Use these numbers exactly once, and combine them with +, -, ×, ÷, and parentheses to make 24.\nNumbers: [10, 12, 20, 22]\nPlease provide your answer as an expression that includes only numbers, operators, and parentheses.\nExample answer format: (9 - 3) × 8 ÷ 2.
|
(10 + (12 - 20)) + 22
| 5
|
{'score_function': '24points_evaluator'}
|
{'numbers': [10, 12, 20, 22]}
|
|
31
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 0 1 2 3\nRow 1: 4 5 9 6\nRow 2: 7 8 9 6\nRow 3: 10 10 11 11\n\nRow clues: [0, 2, 1, 4]\nColumn clues: [2, 2, 1, 2]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(0, 1), (1, 1), (3, 2), (0, 3), (1, 3), (2, 3), (3, 3)]
| 1
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[0, 1, 2, 3], [4, 5, 9, 6], [7, 8, 9, 6], [10, 10, 11, 11]], "row_clues": [0, 2, 1, 4], "col_clues": [2, 2, 1, 2], "grid_size": [4, 4]}
|
|
32
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 0 1 2 3\nRow 1: 4 5 6 7\nRow 2: 8 9 10 7\nRow 3: 11 11 12 12\n\nRow clues: [0, 2, 2, 2]\nColumn clues: [2, 1, 1, 2]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(2, 1), (3, 1), (0, 2), (3, 2), (0, 3), (1, 3)]
| 1
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[0, 1, 2, 3], [4, 5, 6, 7], [8, 9, 10, 7], [11, 11, 12, 12]], "row_clues": [0, 2, 2, 2], "col_clues": [2, 1, 1, 2], "grid_size": [4, 4]}
|
|
33
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 0 0 0 1\nRow 1: 2 3 4 5\nRow 2: 6 7 8 11\nRow 3: 9 9 10 11\n\nRow clues: [0, 3, 1, 2]\nColumn clues: [0, 2, 2, 2]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(1, 1), (2, 1), (3, 1), (1, 2), (2, 3), (3, 3)]
| 1
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[0, 0, 0, 1], [2, 3, 4, 5], [6, 7, 8, 11], [9, 9, 10, 11]], "row_clues": [0, 3, 1, 2], "col_clues": [0, 2, 2, 2], "grid_size": [4, 4]}
|
|
34
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 0 0 1 2\nRow 1: 3 4 5 6\nRow 2: 9 4 7 8\nRow 3: 9 10 11 12\n\nRow clues: [1, 0, 2, 2]\nColumn clues: [2, 0, 2, 1]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(2, 0), (0, 2), (3, 2), (0, 3), (2, 3)]
| 1
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[0, 0, 1, 2], [3, 4, 5, 6], [9, 4, 7, 8], [9, 10, 11, 12]], "row_clues": [1, 0, 2, 2], "col_clues": [2, 0, 2, 1], "grid_size": [4, 4]}
|
|
35
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 0 1 2 3\nRow 1: 4 5 5 3\nRow 2: 6 7 8 9\nRow 3: 10 10 10 11\n\nRow clues: [1, 0, 2, 4]\nColumn clues: [2, 2, 2, 1]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(1, 0), (0, 2), (2, 2), (0, 3), (1, 3), (2, 3), (3, 3)]
| 1
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[0, 1, 2, 3], [4, 5, 5, 3], [6, 7, 8, 9], [10, 10, 10, 11]], "row_clues": [1, 0, 2, 4], "col_clues": [2, 2, 2, 1], "grid_size": [4, 4]}
|
|
36
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 2 0 0 1\nRow 1: 2 3 4 5\nRow 2: 6 6 7 8\nRow 3: 9 10 11 12\n\nRow clues: [1, 2, 4, 2]\nColumn clues: [4, 2, 1, 2]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(0, 0), (0, 1), (3, 1), (0, 2), (1, 2), (2, 2), (3, 2), (0, 3), (1, 3)]
| 1
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[2, 0, 0, 1], [2, 3, 4, 5], [6, 6, 7, 8], [9, 10, 11, 12]], "row_clues": [1, 2, 4, 2], "col_clues": [4, 2, 1, 2], "grid_size": [4, 4]}
|
|
37
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 0 1 2 3 4\nRow 1: 5 6 7 7 8\nRow 2: 9 10 13 13 11\nRow 3: 15 15 12 13 14\nRow 4: 15 16 16 17 18\n\nRow clues: [3, 3, 0, 1, 4]\nColumn clues: [1, 2, 3, 3, 2]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(0, 0), (3, 0), (4, 0), (1, 1), (2, 1), (3, 1), (2, 3), (1, 4), (2, 4), (3, 4), (4, 4)]
| 2
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[0, 1, 2, 3, 4], [5, 6, 7, 7, 8], [9, 10, 13, 13, 11], [15, 15, 12, 13, 14], [15, 16, 16, 17, 18]], "row_clues": [3, 3, 0, 1, 4], "col_clues": [1, 2, 3, 3, 2], "grid_size": [5, 5]}
|
|
38
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 0 1 2 3 3\nRow 1: 0 4 5 6 6\nRow 2: 7 8 9 10 11\nRow 3: 12 13 14 15 15\nRow 4: 16 17 17 17 17\n\nRow clues: [0, 2, 3, 4, 5]\nColumn clues: [3, 2, 3, 3, 3]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(0, 1), (2, 1), (1, 2), (3, 2), (4, 2), (0, 3), (2, 3), (3, 3), (4, 3), (0, 4), (1, 4), (2, 4), (3, 4), (4, 4)]
| 2
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[0, 1, 2, 3, 3], [0, 4, 5, 6, 6], [7, 8, 9, 10, 11], [12, 13, 14, 15, 15], [16, 17, 17, 17, 17]], "row_clues": [0, 2, 3, 4, 5], "col_clues": [3, 2, 3, 3, 3], "grid_size": [5, 5]}
|
|
39
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 0 1 2 2 3\nRow 1: 7 4 5 6 3\nRow 2: 7 7 5 8 9\nRow 3: 10 11 12 13 14\nRow 4: 15 16 17 17 17\n\nRow clues: [0, 1, 3, 4, 5]\nColumn clues: [3, 3, 3, 2, 2]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(0, 1), (0, 2), (1, 2), (2, 2), (1, 3), (2, 3), (3, 3), (4, 3), (0, 4), (1, 4), (2, 4), (3, 4), (4, 4)]
| 2
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[0, 1, 2, 2, 3], [7, 4, 5, 6, 3], [7, 7, 5, 8, 9], [10, 11, 12, 13, 14], [15, 16, 17, 17, 17]], "row_clues": [0, 1, 3, 4, 5], "col_clues": [3, 3, 3, 2, 2], "grid_size": [5, 5]}
|
|
40
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 0 1 2 3 4\nRow 1: 5 5 6 6 7\nRow 2: 8 9 10 6 11\nRow 3: 12 13 14 15 15\nRow 4: 16 16 17 15 15\n\nRow clues: [0, 2, 3, 2, 4]\nColumn clues: [2, 2, 2, 3, 2]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(2, 1), (3, 1), (2, 2), (3, 2), (4, 2), (0, 3), (1, 3), (0, 4), (1, 4), (3, 4), (4, 4)]
| 2
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[0, 1, 2, 3, 4], [5, 5, 6, 6, 7], [8, 9, 10, 6, 11], [12, 13, 14, 15, 15], [16, 16, 17, 15, 15]], "row_clues": [0, 2, 3, 2, 4], "col_clues": [2, 2, 2, 3, 2], "grid_size": [5, 5]}
|
|
41
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 3 0 0 1 2\nRow 1: 3 4 5 5 6\nRow 2: 7 11 11 8 9\nRow 3: 10 14 11 12 17\nRow 4: 13 14 15 16 17\n\nRow clues: [0, 0, 4, 2, 5]\nColumn clues: [2, 3, 3, 2, 1]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(0, 2), (1, 2), (2, 2), (3, 2), (1, 3), (2, 3), (0, 4), (1, 4), (2, 4), (3, 4), (4, 4)]
| 2
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[3, 0, 0, 1, 2], [3, 4, 5, 5, 6], [7, 11, 11, 8, 9], [10, 14, 11, 12, 17], [13, 14, 15, 16, 17]], "row_clues": [0, 0, 4, 2, 5], "col_clues": [2, 3, 3, 2, 1], "grid_size": [5, 5]}
|
|
42
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 0 5 1 2 3\nRow 1: 4 5 5 3 3\nRow 2: 6 7 5 8 9\nRow 3: 13 10 5 11 12\nRow 4: 13 14 15 16 17\n\nRow clues: [0, 1, 1, 2, 4]\nColumn clues: [2, 1, 2, 1, 2]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(0, 1), (1, 2), (2, 3), (4, 3), (0, 4), (2, 4), (3, 4), (4, 4)]
| 2
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[0, 5, 1, 2, 3], [4, 5, 5, 3, 3], [6, 7, 5, 8, 9], [13, 10, 5, 11, 12], [13, 14, 15, 16, 17]], "row_clues": [0, 1, 1, 2, 4], "col_clues": [2, 1, 2, 1, 2], "grid_size": [5, 5]}
|
|
43
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 0 1 2 2 3 4\nRow 1: 5 9 6 7 11 8\nRow 2: 9 9 6 10 11 12\nRow 3: 13 14 14 15 16 16\nRow 4: 17 20 18 19 16 16\nRow 5: 20 20 21 21 16 16\n\nRow clues: [0, 2, 5, 2, 5, 4]\nColumn clues: [3, 2, 3, 2, 4, 4]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(2, 1), (3, 1), (0, 2), (1, 2), (2, 2), (4, 2), (5, 2), (4, 3), (5, 3), (0, 4), (2, 4), (3, 4), (4, 4), (5, 4), (0, 5), (1, 5), (4, 5), (5, 5)]
| 3
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[0, 1, 2, 2, 3, 4], [5, 9, 6, 7, 11, 8], [9, 9, 6, 10, 11, 12], [13, 14, 14, 15, 16, 16], [17, 20, 18, 19, 16, 16], [20, 20, 21, 21, 16, 16]], "row_clues": [0, 2, 5, 2, 5, 4], "col_clues": [3, 2, 3, 2, 4, 4], "grid_size": [6, 6]}
|
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44
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 0 1 2 3 3 4\nRow 1: 5 1 6 11 7 8\nRow 2: 9 10 10 11 12 12\nRow 3: 13 13 17 14 15 19\nRow 4: 16 20 17 18 18 19\nRow 5: 20 20 21 22 23 23\n\nRow clues: [1, 2, 2, 3, 4, 6]\nColumn clues: [2, 4, 4, 3, 4, 1]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(1, 0), (1, 1), (4, 1), (1, 2), (2, 2), (2, 3), (3, 3), (4, 3), (0, 4), (2, 4), (3, 4), (4, 4), (0, 5), (1, 5), (2, 5), (3, 5), (4, 5), (5, 5)]
| 3
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[0, 1, 2, 3, 3, 4], [5, 1, 6, 11, 7, 8], [9, 10, 10, 11, 12, 12], [13, 13, 17, 14, 15, 19], [16, 20, 17, 18, 18, 19], [20, 20, 21, 22, 23, 23]], "row_clues": [1, 2, 2, 3, 4, 6], "col_clues": [2, 4, 4, 3, 4, 1], "grid_size": [6, 6]}
|
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45
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 7 0 1 1 2 3\nRow 1: 7 7 8 4 5 6\nRow 2: 7 7 8 9 10 15\nRow 3: 11 12 13 14 18 15\nRow 4: 16 19 17 17 18 18\nRow 5: 19 19 20 21 18 18\n\nRow clues: [1, 1, 1, 3, 3, 6]\nColumn clues: [2, 1, 2, 1, 6, 3]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(4, 0), (4, 1), (4, 2), (2, 3), (4, 3), (5, 3), (0, 4), (4, 4), (5, 4), (0, 5), (1, 5), (2, 5), (3, 5), (4, 5), (5, 5)]
| 3
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[7, 0, 1, 1, 2, 3], [7, 7, 8, 4, 5, 6], [7, 7, 8, 9, 10, 15], [11, 12, 13, 14, 18, 15], [16, 19, 17, 17, 18, 18], [19, 19, 20, 21, 18, 18]], "row_clues": [1, 1, 1, 3, 3, 6], "col_clues": [2, 1, 2, 1, 6, 3], "grid_size": [6, 6]}
|
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46
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 0 0 1 2 3 3\nRow 1: 0 4 5 5 6 7\nRow 2: 8 9 9 10 10 18\nRow 3: 11 11 12 13 13 18\nRow 4: 19 14 15 16 17 18\nRow 5: 19 19 20 21 22 22\n\nRow clues: [0, 2, 1, 2, 5, 6]\nColumn clues: [5, 3, 2, 2, 3, 1]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(0, 1), (4, 1), (0, 2), (0, 3), (1, 3), (0, 4), (1, 4), (2, 4), (3, 4), (4, 4), (0, 5), (1, 5), (2, 5), (3, 5), (4, 5), (5, 5)]
| 3
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[0, 0, 1, 2, 3, 3], [0, 4, 5, 5, 6, 7], [8, 9, 9, 10, 10, 18], [11, 11, 12, 13, 13, 18], [19, 14, 15, 16, 17, 18], [19, 19, 20, 21, 22, 22]], "row_clues": [0, 2, 1, 2, 5, 6], "col_clues": [5, 3, 2, 2, 3, 1], "grid_size": [6, 6]}
|
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47
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 0 1 2 2 3 4\nRow 1: 5 6 7 11 3 3\nRow 2: 8 9 10 11 3 3\nRow 3: 12 13 11 11 14 14\nRow 4: 15 16 17 18 18 22\nRow 5: 19 20 20 21 22 22\n\nRow clues: [1, 2, 3, 5, 1, 4]\nColumn clues: [2, 2, 3, 3, 3, 3]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(0, 0), (4, 1), (5, 1), (3, 2), (4, 2), (5, 2), (1, 3), (2, 3), (3, 3), (4, 3), (5, 3), (2, 4), (0, 5), (1, 5), (2, 5), (3, 5)]
| 3
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[0, 1, 2, 2, 3, 4], [5, 6, 7, 11, 3, 3], [8, 9, 10, 11, 3, 3], [12, 13, 11, 11, 14, 14], [15, 16, 17, 18, 18, 22], [19, 20, 20, 21, 22, 22]], "row_clues": [1, 2, 3, 5, 1, 4], "col_clues": [2, 2, 3, 3, 3, 3], "grid_size": [6, 6]}
|
|
48
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 0 0 1 3 2 2\nRow 1: 6 3 3 3 4 5\nRow 2: 6 12 12 7 8 9\nRow 3: 10 11 12 7 13 14\nRow 4: 15 16 16 22 17 18\nRow 5: 19 20 21 22 23 18\n\nRow clues: [1, 3, 3, 3, 4, 4]\nColumn clues: [2, 4, 5, 4, 1, 2]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(3, 0), (1, 1), (2, 1), (3, 1), (1, 2), (2, 2), (5, 2), (1, 3), (2, 3), (5, 3), (0, 4), (1, 4), (2, 4), (3, 4), (0, 5), (2, 5), (3, 5), (4, 5)]
| 3
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[0, 0, 1, 3, 2, 2], [6, 3, 3, 3, 4, 5], [6, 12, 12, 7, 8, 9], [10, 11, 12, 7, 13, 14], [15, 16, 16, 22, 17, 18], [19, 20, 21, 22, 23, 18]], "row_clues": [1, 3, 3, 3, 4, 4], "col_clues": [2, 4, 5, 4, 1, 2], "grid_size": [6, 6]}
|
|
49
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 0 0 1 2 3 3 4\nRow 1: 0 5 5 9 6 7 7\nRow 2: 17 17 8 9 15 10 11\nRow 3: 17 12 13 14 15 10 16\nRow 4: 17 17 17 18 19 20 21\nRow 5: 22 23 24 25 25 26 27\nRow 6: 28 28 29 25 30 31 32\n\nRow clues: [1, 4, 0, 3, 5, 3, 6]\nColumn clues: [3, 5, 4, 2, 2, 4, 2]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(2, 0), (1, 1), (2, 1), (5, 1), (6, 1), (1, 3), (3, 3), (4, 3), (0, 4), (1, 4), (2, 4), (3, 4), (5, 4), (0, 5), (1, 5), (5, 5), (0, 6), (1, 6), (2, 6), (4, 6), (5, 6), (6, 6)]
| 4
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[0, 0, 1, 2, 3, 3, 4], [0, 5, 5, 9, 6, 7, 7], [17, 17, 8, 9, 15, 10, 11], [17, 12, 13, 14, 15, 10, 16], [17, 17, 17, 18, 19, 20, 21], [22, 23, 24, 25, 25, 26, 27], [28, 28, 29, 25, 30, 31, 32]], "row_clues": [1, 4, 0, 3, 5, 3, 6], "col_clues": [3, 5, 4, 2, 2, 4, 2], "grid_size": [7, 7]}
|
|
50
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 0 0 1 2 3 3 3\nRow 1: 4 5 6 6 3 3 3\nRow 2: 7 6 6 8 13 3 3\nRow 3: 9 10 11 12 13 14 3\nRow 4: 15 16 16 16 21 17 18\nRow 5: 19 20 16 16 21 27 22\nRow 6: 23 24 25 26 27 27 22\n\nRow clues: [3, 6, 5, 4, 5, 5, 6]\nColumn clues: [3, 5, 6, 4, 5, 7, 4]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(4, 0), (5, 0), (6, 0), (1, 1), (2, 1), (3, 1), (4, 1), (5, 1), (6, 1), (1, 2), (2, 2), (4, 2), (5, 2), (6, 2), (2, 3), (4, 3), (5, 3), (6, 3), (0, 4), (1, 4), (2, 4), (3, 4), (5, 4), (0, 5), (1, 5), (2, 5), (3, 5), (5, 5), (0, 6), (1, 6), (2, 6), (3, 6), (4, 6), (5, 6)]
| 4
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[0, 0, 1, 2, 3, 3, 3], [4, 5, 6, 6, 3, 3, 3], [7, 6, 6, 8, 13, 3, 3], [9, 10, 11, 12, 13, 14, 3], [15, 16, 16, 16, 21, 17, 18], [19, 20, 16, 16, 21, 27, 22], [23, 24, 25, 26, 27, 27, 22]], "row_clues": [3, 6, 5, 4, 5, 5, 6], "col_clues": [3, 5, 6, 4, 5, 7, 4], "grid_size": [7, 7]}
|
|
51
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 4 4 0 1 2 3 3\nRow 1: 4 5 0 0 6 7 8\nRow 2: 9 10 11 15 15 15 15\nRow 3: 12 12 12 13 14 15 15\nRow 4: 16 17 18 14 14 19 19\nRow 5: 20 21 22 23 24 19 25\nRow 6: 26 27 28 29 30 31 32\n\nRow clues: [1, 0, 4, 3, 3, 6, 5]\nColumn clues: [3, 3, 2, 4, 3, 4, 3]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(3, 0), (3, 2), (4, 2), (5, 2), (6, 2), (3, 3), (5, 3), (6, 3), (0, 4), (1, 4), (2, 4), (0, 5), (1, 5), (3, 5), (4, 5), (5, 5), (6, 5), (0, 6), (1, 6), (2, 6), (4, 6), (5, 6)]
| 4
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[4, 4, 0, 1, 2, 3, 3], [4, 5, 0, 0, 6, 7, 8], [9, 10, 11, 15, 15, 15, 15], [12, 12, 12, 13, 14, 15, 15], [16, 17, 18, 14, 14, 19, 19], [20, 21, 22, 23, 24, 19, 25], [26, 27, 28, 29, 30, 31, 32]], "row_clues": [1, 0, 4, 3, 3, 6, 5], "col_clues": [3, 3, 2, 4, 3, 4, 3], "grid_size": [7, 7]}
|
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52
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 0 1 6 2 3 4 5\nRow 1: 0 9 6 2 7 12 12\nRow 2: 8 9 10 11 12 12 13\nRow 3: 17 14 15 15 19 19 16\nRow 4: 17 17 18 15 26 19 16\nRow 5: 17 17 18 20 26 21 22\nRow 6: 23 23 24 25 26 27 27\n\nRow clues: [1, 1, 2, 3, 3, 4, 6]\nColumn clues: [2, 2, 3, 1, 3, 4, 5]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(1, 0), (4, 1), (0, 2), (6, 2), (4, 3), (5, 3), (6, 3), (2, 4), (5, 4), (6, 4), (2, 5), (3, 5), (5, 5), (6, 5), (0, 6), (1, 6), (2, 6), (4, 6), (5, 6), (6, 6)]
| 4
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[0, 1, 6, 2, 3, 4, 5], [0, 9, 6, 2, 7, 12, 12], [8, 9, 10, 11, 12, 12, 13], [17, 14, 15, 15, 19, 19, 16], [17, 17, 18, 15, 26, 19, 16], [17, 17, 18, 20, 26, 21, 22], [23, 23, 24, 25, 26, 27, 27]], "row_clues": [1, 1, 2, 3, 3, 4, 6], "col_clues": [2, 2, 3, 1, 3, 4, 5], "grid_size": [7, 7]}
|
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53
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 0 1 3 8 4 4 4\nRow 1: 2 2 3 8 4 4 4\nRow 2: 5 6 7 8 9 10 4\nRow 3: 11 11 12 13 14 15 21\nRow 4: 16 17 18 18 19 20 21\nRow 5: 25 22 26 23 24 24 28\nRow 6: 25 25 26 23 27 28 28\n\nRow clues: [0, 3, 4, 3, 5, 3, 6]\nColumn clues: [5, 4, 2, 3, 3, 3, 4]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(4, 1), (5, 1), (6, 1), (0, 2), (1, 2), (4, 2), (6, 2), (0, 3), (1, 3), (2, 3), (0, 4), (1, 4), (2, 4), (3, 4), (5, 4), (0, 5), (3, 5), (6, 5), (0, 6), (1, 6), (3, 6), (4, 6), (5, 6), (6, 6)]
| 4
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[0, 1, 3, 8, 4, 4, 4], [2, 2, 3, 8, 4, 4, 4], [5, 6, 7, 8, 9, 10, 4], [11, 11, 12, 13, 14, 15, 21], [16, 17, 18, 18, 19, 20, 21], [25, 22, 26, 23, 24, 24, 28], [25, 25, 26, 23, 27, 28, 28]], "row_clues": [0, 3, 4, 3, 5, 3, 6], "col_clues": [5, 4, 2, 3, 3, 3, 4], "grid_size": [7, 7]}
|
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54
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 0 1 2 3 4 5 6\nRow 1: 0 0 7 8 9 10 11\nRow 2: 12 13 14 15 15 15 18\nRow 3: 19 16 14 17 17 17 18\nRow 4: 19 16 20 25 21 21 22\nRow 5: 23 16 24 25 26 21 32\nRow 6: 27 28 29 30 31 32 32\n\nRow clues: [1, 1, 5, 1, 1, 6, 7]\nColumn clues: [2, 2, 2, 5, 3, 3, 5]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(3, 0), (3, 1), (0, 2), (3, 2), (4, 2), (5, 2), (6, 2), (6, 3), (6, 4), (1, 5), (2, 5), (3, 5), (4, 5), (5, 5), (6, 5), (0, 6), (1, 6), (2, 6), (3, 6), (4, 6), (5, 6), (6, 6)]
| 4
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[0, 1, 2, 3, 4, 5, 6], [0, 0, 7, 8, 9, 10, 11], [12, 13, 14, 15, 15, 15, 18], [19, 16, 14, 17, 17, 17, 18], [19, 16, 20, 25, 21, 21, 22], [23, 16, 24, 25, 26, 21, 32], [27, 28, 29, 30, 31, 32, 32]], "row_clues": [1, 1, 5, 1, 1, 6, 7], "col_clues": [2, 2, 2, 5, 3, 3, 5], "grid_size": [7, 7]}
|
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55
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 0 0 1 2 2 3 4 5\nRow 1: 0 0 6 6 7 8 9 9\nRow 2: 0 0 10 11 12 16 13 9\nRow 3: 14 15 15 16 16 16 17 17\nRow 4: 18 15 19 20 21 21 22 23\nRow 5: 24 24 24 24 24 25 26 23\nRow 6: 24 24 24 27 28 29 29 30\nRow 7: 24 24 24 31 32 29 33 34\n\nRow clues: [0, 2, 2, 1, 4, 7, 8, 8]\nColumn clues: [4, 3, 3, 4, 4, 4, 4, 6]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(6, 1), (7, 1), (3, 2), (7, 2), (0, 3), (4, 4), (5, 4), (6, 4), (7, 4), (0, 5), (1, 5), (2, 5), (3, 5), (4, 5), (5, 5), (7, 5), (0, 6), (1, 6), (2, 6), (3, 6), (4, 6), (5, 6), (6, 6), (7, 6), (0, 7), (1, 7), (2, 7), (3, 7), (4, 7), (5, 7), (6, 7), (7, 7)]
| 5
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[0, 0, 1, 2, 2, 3, 4, 5], [0, 0, 6, 6, 7, 8, 9, 9], [0, 0, 10, 11, 12, 16, 13, 9], [14, 15, 15, 16, 16, 16, 17, 17], [18, 15, 19, 20, 21, 21, 22, 23], [24, 24, 24, 24, 24, 25, 26, 23], [24, 24, 24, 27, 28, 29, 29, 30], [24, 24, 24, 31, 32, 29, 33, 34]], "row_clues": [0, 2, 2, 1, 4, 7, 8, 8], "col_clues": [4, 3, 3, 4, 4, 4, 4, 6], "grid_size": [8, 8]}
|
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56
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 0 1 2 2 2 8 3 4\nRow 1: 0 5 6 7 11 8 8 8\nRow 2: 9 9 6 10 11 12 21 21\nRow 3: 19 13 14 15 16 17 21 18\nRow 4: 19 20 20 16 16 16 21 22\nRow 5: 23 24 25 26 27 16 28 29\nRow 6: 30 31 32 33 34 34 34 37\nRow 7: 35 36 36 34 34 37 37 37\n\nRow clues: [1, 1, 0, 3, 5, 7, 7, 5]\nColumn clues: [4, 4, 2, 5, 4, 4, 3, 3]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(0, 0), (0, 1), (1, 3), (3, 3), (7, 3), (1, 4), (2, 4), (3, 4), (4, 4), (5, 4), (0, 5), (1, 5), (3, 5), (4, 5), (5, 5), (6, 5), (7, 5), (0, 6), (1, 6), (2, 6), (3, 6), (4, 6), (5, 6), (6, 6), (3, 7), (4, 7), (5, 7), (6, 7), (7, 7)]
| 5
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[0, 1, 2, 2, 2, 8, 3, 4], [0, 5, 6, 7, 11, 8, 8, 8], [9, 9, 6, 10, 11, 12, 21, 21], [19, 13, 14, 15, 16, 17, 21, 18], [19, 20, 20, 16, 16, 16, 21, 22], [23, 24, 25, 26, 27, 16, 28, 29], [30, 31, 32, 33, 34, 34, 34, 37], [35, 36, 36, 34, 34, 37, 37, 37]], "row_clues": [1, 1, 0, 3, 5, 7, 7, 5], "col_clues": [4, 4, 2, 5, 4, 4, 3, 3], "grid_size": [8, 8]}
|
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57
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 0 1 2 3 4 5 6 7\nRow 1: 0 0 10 8 9 7 7 7\nRow 2: 10 10 10 10 11 12 13 13\nRow 3: 14 14 15 16 16 17 18 18\nRow 4: 14 14 14 19 20 21 18 18\nRow 5: 22 23 24 25 26 31 27 18\nRow 6: 33 28 29 29 30 31 32 18\nRow 7: 33 33 33 34 35 36 37 37\n\nRow clues: [1, 2, 0, 5, 7, 8, 5, 8]\nColumn clues: [5, 4, 4, 5, 4, 4, 5, 5]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(3, 0), (3, 1), (4, 1), (0, 3), (1, 3), (2, 3), (6, 3), (7, 3), (0, 4), (1, 4), (2, 4), (3, 4), (5, 4), (6, 4), (7, 4), (0, 5), (1, 5), (2, 5), (3, 5), (4, 5), (5, 5), (6, 5), (7, 5), (0, 6), (4, 6), (5, 6), (6, 6), (7, 6), (0, 7), (1, 7), (2, 7), (3, 7), (4, 7), (5, 7), (6, 7), (7, 7)]
| 5
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[0, 1, 2, 3, 4, 5, 6, 7], [0, 0, 10, 8, 9, 7, 7, 7], [10, 10, 10, 10, 11, 12, 13, 13], [14, 14, 15, 16, 16, 17, 18, 18], [14, 14, 14, 19, 20, 21, 18, 18], [22, 23, 24, 25, 26, 31, 27, 18], [33, 28, 29, 29, 30, 31, 32, 18], [33, 33, 33, 34, 35, 36, 37, 37]], "row_clues": [1, 2, 0, 5, 7, 8, 5, 8], "col_clues": [5, 4, 4, 5, 4, 4, 5, 5], "grid_size": [8, 8]}
|
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58
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 0 1 1 2 3 4 5 6\nRow 1: 7 8 1 9 3 3 10 10\nRow 2: 26 26 11 12 13 13 13 14\nRow 3: 15 26 16 17 18 19 19 19\nRow 4: 26 26 26 23 23 20 19 19\nRow 5: 21 26 22 23 23 24 25 29\nRow 6: 26 26 26 27 31 24 28 29\nRow 7: 26 26 26 30 31 32 33 34\n\nRow clues: [1, 1, 5, 4, 6, 5, 8, 7]\nColumn clues: [5, 4, 6, 2, 3, 6, 5, 6]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(0, 0), (3, 1), (2, 2), (4, 2), (5, 2), (6, 2), (7, 2), (2, 3), (5, 3), (6, 3), (7, 3), (0, 4), (1, 4), (2, 4), (5, 4), (6, 4), (7, 4), (0, 5), (1, 5), (2, 5), (5, 5), (7, 5), (0, 6), (1, 6), (2, 6), (3, 6), (4, 6), (5, 6), (6, 6), (7, 6), (0, 7), (1, 7), (2, 7), (4, 7), (5, 7), (6, 7), (7, 7)]
| 5
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[0, 1, 1, 2, 3, 4, 5, 6], [7, 8, 1, 9, 3, 3, 10, 10], [26, 26, 11, 12, 13, 13, 13, 14], [15, 26, 16, 17, 18, 19, 19, 19], [26, 26, 26, 23, 23, 20, 19, 19], [21, 26, 22, 23, 23, 24, 25, 29], [26, 26, 26, 27, 31, 24, 28, 29], [26, 26, 26, 30, 31, 32, 33, 34]], "row_clues": [1, 1, 5, 4, 6, 5, 8, 7], "col_clues": [5, 4, 6, 2, 3, 6, 5, 6], "grid_size": [8, 8]}
|
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59
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 7 7 0 1 5 5 5 5\nRow 1: 7 7 2 3 4 10 5 6\nRow 2: 7 7 8 9 4 10 10 10\nRow 3: 11 15 16 16 18 12 13 20\nRow 4: 14 15 16 17 18 18 19 20\nRow 5: 26 21 22 17 23 24 25 20\nRow 6: 26 31 31 27 32 28 28 29\nRow 7: 30 31 31 32 32 32 33 34\n\nRow clues: [0, 4, 4, 2, 4, 6, 5, 4]\nColumn clues: [3, 3, 2, 4, 4, 5, 3, 5]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(3, 1), (4, 1), (5, 1), (6, 1), (4, 2), (5, 2), (6, 2), (7, 2), (5, 3), (7, 3), (3, 4), (4, 4), (5, 4), (7, 4), (0, 5), (1, 5), (3, 5), (4, 5), (5, 5), (7, 5), (0, 6), (1, 6), (2, 6), (3, 6), (7, 6), (0, 7), (1, 7), (2, 7), (6, 7)]
| 5
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[7, 7, 0, 1, 5, 5, 5, 5], [7, 7, 2, 3, 4, 10, 5, 6], [7, 7, 8, 9, 4, 10, 10, 10], [11, 15, 16, 16, 18, 12, 13, 20], [14, 15, 16, 17, 18, 18, 19, 20], [26, 21, 22, 17, 23, 24, 25, 20], [26, 31, 31, 27, 32, 28, 28, 29], [30, 31, 31, 32, 32, 32, 33, 34]], "row_clues": [0, 4, 4, 2, 4, 6, 5, 4], "col_clues": [3, 3, 2, 4, 4, 5, 3, 5], "grid_size": [8, 8]}
|
|
60
|
aquarium
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Regions are separated by thick black lines in the grid. Cells within the same region (enclosed by thick lines) must follow the same water level rule. Cells separated by thinner lines are still in the same region.\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\n### Answer Format:\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n\nPlease read the image carefully and provide the answer in the format above.\n
|
\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:\n\n### Game Rules:\n1. Each region must be filled to a uniform water level (from bottom up).\n2. Water cannot float — if a cell is filled, the cell directly below it (if any, in same region) must also be filled.\n3. The numbers outside the grid indicate how many cells are filled with water in each row and column.\n4. Cells with the same number belong to the same region in the region layout representation.\n\n### Region layout:\nRow 0: 0 0 1 2 3 4 5 5\nRow 1: 6 13 1 7 7 8 5 5\nRow 2: 13 13 9 10 11 12 12 12\nRow 3: 13 14 15 16 17 18 19 20\nRow 4: 13 21 29 29 22 22 23 20\nRow 5: 24 24 29 29 29 29 25 25\nRow 6: 26 27 29 29 28 29 29 30\nRow 7: 31 32 29 29 33 34 35 35\n\nRow clues: [1, 2, 3, 3, 7, 8, 8, 8]\nColumn clues: [6, 5, 8, 5, 4, 5, 4, 3]\n\n### Coordinate system: \n(x, y) where (0, 0) is the top-left cell. x increases to the right, y increases downward.\n\nPlease list all the cells that are filled with water in the format:\n[(x1, y1), (x2, y2), ...]\n\nExample:\n[(0, 4), (1, 4), (1, 3), (2, 3)]\n
|
[(2, 0), (2, 1), (5, 1), (0, 2), (1, 2), (2, 2), (0, 3), (2, 3), (3, 3), (0, 4), (1, 4), (2, 4), (3, 4), (4, 4), (5, 4), (6, 4), (0, 5), (1, 5), (2, 5), (3, 5), (4, 5), (5, 5), (6, 5), (7, 5), (0, 6), (1, 6), (2, 6), (3, 6), (4, 6), (5, 6), (6, 6), (7, 6), (0, 7), (1, 7), (2, 7), (3, 7), (4, 7), (5, 7), (6, 7), (7, 7)]
| 5
|
{'score_function': 'aquarium_evaluator'}
|
{"regions": [[0, 0, 1, 2, 3, 4, 5, 5], [6, 13, 1, 7, 7, 8, 5, 5], [13, 13, 9, 10, 11, 12, 12, 12], [13, 14, 15, 16, 17, 18, 19, 20], [13, 21, 29, 29, 22, 22, 23, 20], [24, 24, 29, 29, 29, 29, 25, 25], [26, 27, 29, 29, 28, 29, 29, 30], [31, 32, 29, 29, 33, 34, 35, 35]], "row_clues": [1, 2, 3, 3, 7, 8, 8, 8], "col_clues": [6, 5, 8, 5, 4, 5, 4, 3], "grid_size": [8, 8]}
|
|
61
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [2, 4, 5, 1, 19, 9, 10, 15, 9] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
27
| 1
|
{'score_function': 'simple_str_match'}
|
{'prices': [2, 4, 5, 1, 19, 9, 10, 15, 9]}
|
|
62
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [4, 16, 11, 16, 1, 8, 3, 10] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
31
| 1
|
{'score_function': 'simple_str_match'}
|
{'prices': [4, 16, 11, 16, 1, 8, 3, 10]}
|
|
63
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [7, 14, 8, 19, 3, 1, 16, 17] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
34
| 1
|
{'score_function': 'simple_str_match'}
|
{'prices': [7, 14, 8, 19, 3, 1, 16, 17]}
|
|
64
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [11, 6, 12, 12, 14, 17, 11, 15, 20, 9] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
20
| 1
|
{'score_function': 'simple_str_match'}
|
{'prices': [11, 6, 12, 12, 14, 17, 11, 15, 20, 9]}
|
|
65
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [11, 12, 10, 15, 20, 11, 1, 10, 16, 7] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
26
| 1
|
{'score_function': 'simple_str_match'}
|
{'prices': [11, 12, 10, 15, 20, 11, 1, 10, 16, 7]}
|
|
66
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [17, 4, 8, 5, 15] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
14
| 1
|
{'score_function': 'simple_str_match'}
|
{'prices': [17, 4, 8, 5, 15]}
|
|
67
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [35, 28, 33, 35, 21, 6, 31, 22, 36, 15, 10, 17, 27, 1, 8] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
70
| 2
|
{'score_function': 'simple_str_match'}
|
{'prices': [35, 28, 33, 35, 21, 6, 31, 22, 36, 15, 10, 17, 27, 1, 8]}
|
|
68
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [2, 20, 4, 14, 37, 10, 15, 23, 4, 37, 31, 20] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
97
| 2
|
{'score_function': 'simple_str_match'}
|
{'prices': [2, 20, 4, 14, 37, 10, 15, 23, 4, 37, 31, 20]}
|
|
69
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [20, 14, 38, 39, 25, 20, 17, 23, 13, 37, 17, 26, 26] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
64
| 2
|
{'score_function': 'simple_str_match'}
|
{'prices': [20, 14, 38, 39, 25, 20, 17, 23, 13, 37, 17, 26, 26]}
|
|
70
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [28, 40, 21, 17, 2, 23, 13, 34, 1, 27, 3, 34, 1, 34, 27, 29, 11, 9, 9] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
146
| 2
|
{'score_function': 'simple_str_match'}
|
{'prices': [28, 40, 21, 17, 2, 23, 13, 34, 1, 27, 3, 34, 1, 34, 27, 29, 11, 9, 9]}
|
|
71
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [12, 23, 15, 15, 3, 34, 30, 1, 36, 10, 2, 32, 12, 21, 13, 26, 22, 17, 8, 32] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
153
| 2
|
{'score_function': 'simple_str_match'}
|
{'prices': [12, 23, 15, 15, 3, 34, 30, 1, 36, 10, 2, 32, 12, 21, 13, 26, 22, 17, 8, 32]}
|
|
72
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [15, 19, 19, 1, 37, 18, 35, 12, 25, 2, 18, 17, 40, 27, 17, 39, 26, 6, 28, 16] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
153
| 2
|
{'score_function': 'simple_str_match'}
|
{'prices': [15, 19, 19, 1, 37, 18, 35, 12, 25, 2, 18, 17, 40, 27, 17, 39, 26, 6, 28, 16]}
|
|
73
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [60, 58, 53, 50, 53, 50, 54, 56, 28, 26, 22, 25, 56, 47, 51, 20, 16, 14, 17, 10, 8, 6, 7, 5, 1, 9, 49, 12] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
99
| 3
|
{'score_function': 'simple_str_match'}
|
{'prices': [60, 58, 53, 50, 53, 50, 54, 56, 28, 26, 22, 25, 56, 47, 51, 20, 16, 14, 17, 10, 8, 6, 7, 5, 1, 9, 49, 12]}
|
|
74
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [28, 30, 28, 23, 22, 26, 27, 23, 39, 1, 6, 3, 33, 54, 55, 53, 58, 58, 62, 65] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
92
| 3
|
{'score_function': 'simple_str_match'}
|
{'prices': [28, 30, 28, 23, 22, 26, 27, 23, 39, 1, 6, 3, 33, 54, 55, 53, 58, 58, 62, 65]}
|
|
75
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [19, 16, 15, 56, 51, 46, 45, 47, 14, 17, 14, 15, 10, 21, 23, 28, 23, 26, 20, 18, 21, 26, 6] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
76
| 3
|
{'score_function': 'simple_str_match'}
|
{'prices': [19, 16, 15, 56, 51, 46, 45, 47, 14, 17, 14, 15, 10, 21, 23, 28, 23, 26, 20, 18, 21, 26, 6]}
|
|
76
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [20, 18, 17, 15, 14, 19, 20, 25, 22, 18, 13, 12, 14, 10, 6, 7, 5, 9, 6, 3] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
18
| 3
|
{'score_function': 'simple_str_match'}
|
{'prices': [20, 18, 17, 15, 14, 19, 20, 25, 22, 18, 13, 12, 14, 10, 6, 7, 5, 9, 6, 3]}
|
|
77
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [25, 3, 23, 18, 18, 13, 9, 10, 5, 30, 25, 30, 32, 34, 3, 7, 6, 2, 36, 32, 35, 40] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
101
| 3
|
{'score_function': 'simple_str_match'}
|
{'prices': [25, 3, 23, 18, 18, 13, 9, 10, 5, 30, 25, 30, 32, 34, 3, 7, 6, 2, 36, 32, 35, 40]}
|
|
78
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [30, 27, 31, 31, 4, 35, 36, 34, 30, 32, 3, 7, 9, 7, 4, 1, 4, 17, 18, 15, 10, 36, 35, 59, 42, 38, 40] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
113
| 3
|
{'score_function': 'simple_str_match'}
|
{'prices': [30, 27, 31, 31, 4, 35, 36, 34, 30, 32, 3, 7, 9, 7, 4, 1, 4, 17, 18, 15, 10, 36, 35, 59, 42, 38, 40]}
|
|
79
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [11, 9, 83, 82, 87, 80, 81, 5, 29, 27, 28, 52, 98, 34, 29, 34, 32, 9, 11, 49, 21, 17, 19, 15, 12, 10, 9, 4, 7, 6, 67, 66, 51, 23, 18, 19, 46, 41, 37, 33, 35, 38, 42, 41, 36, 87, 86, 95, 94] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
383
| 4
|
{'score_function': 'simple_str_match'}
|
{'prices': [11, 9, 83, 82, 87, 80, 81, 5, 29, 27, 28, 52, 98, 34, 29, 34, 32, 9, 11, 49, 21, 17, 19, 15, 12, 10, 9, 4, 7, 6, 67, 66, 51, 23, 18, 19, 46, 41, 37, 33, 35, 38, 42, 41, 36, 87, 86, 95, 94]}
|
|
80
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [27, 26, 30, 27, 50, 49, 52, 53, 67, 64, 69, 64, 95, 16, 15, 10, 8, 5, 15, 11, 7, 6, 5, 79, 76, 73, 78, 73, 75, 71, 73, 16, 44, 42, 39] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
202
| 4
|
{'score_function': 'simple_str_match'}
|
{'prices': [27, 26, 30, 27, 50, 49, 52, 53, 67, 64, 69, 64, 95, 16, 15, 10, 8, 5, 15, 11, 7, 6, 5, 79, 76, 73, 78, 73, 75, 71, 73, 16, 44, 42, 39]}
|
|
81
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [11, 9, 13, 12, 52, 48, 45, 40, 35, 30, 41, 69, 64, 69, 69, 99, 96, 53, 58, 59, 54, 50, 39, 58, 54, 58, 56, 53, 49, 53, 49, 54, 51, 47, 46, 13, 13, 18, 22, 66, 63, 65, 66, 71, 70, 71, 68, 66] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
218
| 4
|
{'score_function': 'simple_str_match'}
|
{'prices': [11, 9, 13, 12, 52, 48, 45, 40, 35, 30, 41, 69, 64, 69, 69, 99, 96, 53, 58, 59, 54, 50, 39, 58, 54, 58, 56, 53, 49, 53, 49, 54, 51, 47, 46, 13, 13, 18, 22, 66, 63, 65, 66, 71, 70, 71, 68, 66]}
|
|
82
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [89, 85, 89, 90, 42, 73, 72, 67, 9, 10, 5, 75, 58, 94, 92, 89, 20, 16, 15, 98, 93, 42, 35, 15, 19, 23, 25, 2, 1, 1, 1, 1, 5, 6, 69, 72, 71, 70, 75] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
312
| 4
|
{'score_function': 'simple_str_match'}
|
{'prices': [89, 85, 89, 90, 42, 73, 72, 67, 9, 10, 5, 75, 58, 94, 92, 89, 20, 16, 15, 98, 93, 42, 35, 15, 19, 23, 25, 2, 1, 1, 1, 1, 5, 6, 69, 72, 71, 70, 75]}
|
|
83
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [38, 33, 35, 8, 3, 2, 5, 74, 27, 28, 75, 70, 6, 11, 8, 49, 46, 41, 9, 40, 62, 59, 56, 95, 96, 97, 93, 47, 49, 54, 55] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
270
| 4
|
{'score_function': 'simple_str_match'}
|
{'prices': [38, 33, 35, 8, 3, 2, 5, 74, 27, 28, 75, 70, 6, 11, 8, 49, 46, 41, 9, 40, 62, 59, 56, 95, 96, 97, 93, 47, 49, 54, 55]}
|
|
84
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [98, 52, 53, 54, 53, 50, 51, 50, 54, 51, 78, 75, 78, 72, 76, 80, 77, 82, 85, 89, 88, 84, 88, 85, 83, 78, 92, 93, 16, 46, 45, 42, 46, 41, 42, 38, 42, 43, 57, 53, 5, 6, 3, 71, 68, 69, 65, 21, 20, 25] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
205
| 4
|
{'score_function': 'simple_str_match'}
|
{'prices': [98, 52, 53, 54, 53, 50, 51, 50, 54, 51, 78, 75, 78, 72, 76, 80, 77, 82, 85, 89, 88, 84, 88, 85, 83, 78, 92, 93, 16, 46, 45, 42, 46, 41, 42, 38, 42, 43, 57, 53, 5, 6, 3, 71, 68, 69, 65, 21, 20, 25]}
|
|
85
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [72, 68, 80, 77, 73, 83, 78, 74, 69, 68, 66, 77, 81, 85, 89, 91, 90, 89, 85, 5, 1, 1, 23, 18, 16, 12, 39, 34, 39, 38, 41, 39, 42, 40, 38, 40, 44, 40, 36, 86, 43, 40, 36, 19, 17, 16, 13, 10, 13, 37, 77, 74, 19, 22, 18, 17, 13, 14, 96, 99, 96, 92] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
319
| 5
|
{'score_function': 'simple_str_match'}
|
{'prices': [72, 68, 80, 77, 73, 83, 78, 74, 69, 68, 66, 77, 81, 85, 89, 91, 90, 89, 85, 5, 1, 1, 23, 18, 16, 12, 39, 34, 39, 38, 41, 39, 42, 40, 38, 40, 44, 40, 36, 86, 43, 40, 36, 19, 17, 16, 13, 10, 13, 37, 77, 74, 19, 22, 18, 17, 13, 14, 96, 99, 96, 92]}
|
|
86
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [41, 39, 55, 87, 82, 21, 19, 15, 14, 17, 13, 75, 66, 47, 1, 1, 4, 1, 1, 4, 5, 22, 21, 45, 44, 1, 3, 4, 79, 81, 77, 73, 87, 83, 80, 49, 47, 46, 42, 43, 46, 44, 60, 58, 68, 33, 67, 68, 10, 44, 29, 24, 20, 90, 88, 3, 2, 1, 1, 8, 89, 84, 79, 78, 82, 79, 86, 85] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
523
| 5
|
{'score_function': 'simple_str_match'}
|
{'prices': [41, 39, 55, 87, 82, 21, 19, 15, 14, 17, 13, 75, 66, 47, 1, 1, 4, 1, 1, 4, 5, 22, 21, 45, 44, 1, 3, 4, 79, 81, 77, 73, 87, 83, 80, 49, 47, 46, 42, 43, 46, 44, 60, 58, 68, 33, 67, 68, 10, 44, 29, 24, 20, 90, 88, 3, 2, 1, 1, 8, 89, 84, 79, 78, 82, 79, 86, 85]}
|
|
87
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [84, 82, 78, 81, 83, 79, 84, 8, 7, 4, 90, 45, 44, 43, 58, 20, 17, 13, 95, 19, 38, 41, 90, 91, 28, 26, 43, 80, 76, 8, 7, 5, 4, 2, 48, 44, 49, 45, 40, 37, 12, 10, 5, 41, 42, 47, 45, 42, 46, 50, 45, 40, 45, 44, 41, 37] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
425
| 5
|
{'score_function': 'simple_str_match'}
|
{'prices': [84, 82, 78, 81, 83, 79, 84, 8, 7, 4, 90, 45, 44, 43, 58, 20, 17, 13, 95, 19, 38, 41, 90, 91, 28, 26, 43, 80, 76, 8, 7, 5, 4, 2, 48, 44, 49, 45, 40, 37, 12, 10, 5, 41, 42, 47, 45, 42, 46, 50, 45, 40, 45, 44, 41, 37]}
|
|
88
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [47, 43, 42, 38, 35, 54, 99, 31, 30, 35, 38, 35, 40, 41, 79, 97, 94, 96, 44, 42, 1, 5, 1, 6, 3, 93, 97, 102, 99, 101, 96, 95, 97, 43, 84, 88, 84, 35, 62, 64, 59, 71, 25, 91, 88, 92, 94, 89, 84, 83, 15, 20, 18, 19, 24, 27, 30, 15, 14, 82, 79, 78, 75, 70, 75, 79] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
500
| 5
|
{'score_function': 'simple_str_match'}
|
{'prices': [47, 43, 42, 38, 35, 54, 99, 31, 30, 35, 38, 35, 40, 41, 79, 97, 94, 96, 44, 42, 1, 5, 1, 6, 3, 93, 97, 102, 99, 101, 96, 95, 97, 43, 84, 88, 84, 35, 62, 64, 59, 71, 25, 91, 88, 92, 94, 89, 84, 83, 15, 20, 18, 19, 24, 27, 30, 15, 14, 82, 79, 78, 75, 70, 75, 79]}
|
|
89
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [75, 79, 29, 31, 70, 72, 69, 80, 81, 78, 54, 53, 45, 47, 50, 53, 55, 60, 55, 56, 59, 81, 82, 81, 80, 77, 74, 73, 78, 95, 94, 99, 95, 81, 79, 75, 78, 76, 72, 20, 17, 22, 60, 85, 14, 11, 13, 17, 13, 12, 13, 17, 21, 19, 23, 26, 28, 24, 27, 25] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
226
| 5
|
{'score_function': 'simple_str_match'}
|
{'prices': [75, 79, 29, 31, 70, 72, 69, 80, 81, 78, 54, 53, 45, 47, 50, 53, 55, 60, 55, 56, 59, 81, 82, 81, 80, 77, 74, 73, 78, 95, 94, 99, 95, 81, 79, 75, 78, 76, 72, 20, 17, 22, 60, 85, 14, 11, 13, 17, 13, 12, 13, 17, 21, 19, 23, 26, 28, 24, 27, 25]}
|
|
90
|
BestTimeToBuyAndSellStock
|
Given a line chart of stock prices over time, where each point represents the price on that day. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
Given a list of stock prices [46, 70, 68, 65, 27, 29, 34, 16, 69, 10, 5, 1, 1, 60, 59, 81, 76, 74, 71, 95, 98, 99, 101, 100, 93, 15, 13, 96, 100, 32, 33, 32, 29, 33, 30, 33, 31, 6, 1, 69, 66, 70, 47, 44, 69, 26, 23, 63, 59, 56, 96, 93, 89, 87] over time. You can buy and sell as much as you want, but can only hold one stock at a time. Calculate the maximum profit you can get from this transaction. If you cannot get any profit, answer 0.
|
467
| 5
|
{'score_function': 'simple_str_match'}
|
{'prices': [46, 70, 68, 65, 27, 29, 34, 16, 69, 10, 5, 1, 1, 60, 59, 81, 76, 74, 71, 95, 98, 99, 101, 100, 93, 15, 13, 96, 100, 32, 33, 32, 29, 33, 30, 33, 31, 6, 1, 69, 66, 70, 47, 44, 69, 26, 23, 63, 59, 56, 96, 93, 89, 87]}
|
|
91
|
binairo
|
\n\n# Binairo Puzzle\n## Task:\nPlease examine the image carefully. The image shows a Binairo puzzle grid with blue digits representing 0s and red digits representing 1s. Empty cells need to be filled.\n\n## Rules:\n1. Fill the grid with 0s and 1s\n2. Each row and column must contain exactly 2 0s and 2 1s\n3. No three consecutive identical digits in any row or column\n4. All rows must be unique and all columns must be unique\n\n## Coordinate System:\n- Rows are numbered 1 to 4 from top to bottom\n- Columns are numbered 1 to 4 from left to right\n\nSolve the 4×4 Binairo puzzle shown in the image and provide your complete solution.\n\n## Output Format:\nYour answer must be formatted as a grid of 0s and 1s separated by spaces, with rows separated by newlines. For example:\n\n0 1 1 0 0 1\n1 0 1 0 1 0\n0 1 0 1 0 1\n1 0 0 1 1 0\n1 0 1 0 0 1\n0 1 0 1 1 0\n
|
\nPlease examine the grid carefully. The grid shows a Binairo puzzle grid with 0s and 1s. Empty cells need to be filled.\n\n## Rules:\n1. Fill the grid with 0s and 1s\n2. Each row and column must contain exactly 2 0s and 2 1s\n3. No three consecutive identical digits in any row or column\n4. All rows must be unique and all columns must be unique\n### Current Game State (text representation):\nRow 1: _ 0 _ 1\nRow 2: 1 0 _ _\nRow 3: 0 _ 1 _\nRow 4: _ _ 0 0\n\n\n### Game State Explanation:\n- Grid dimensions: 4 rows × 4 columns\n- Total cells: 16\n- Filled cells: 8\n- Empty cells: 8\n\n### Text Representation Legend:\n- Numbers (0, 1): Pre-filled clues that cannot be changed\n- Underscore (_): Empty cells that need to be filled\n\n### Coordinate System:\n- Rows are numbered 1 to 4 from top to bottom\n- Columns are numbered 1 to 4 from left to right\n\n### Output Format:\nYour answer must be formatted as a grid of 0s and 1s separated by spaces, with rows separated by newlines. For example:\n\n0 1 1 0 0 1\n1 0 1 0 1 0\n0 1 0 1 0 1\n1 0 0 1 1 0\n1 0 1 0 0 1\n0 1 0 1 1 0\n
|
0 0 1 1\n1 0 0 1\n0 1 1 0\n1 1 0 0
| 1
|
{'score_function': 'binairo_evaluator'}
|
[[None, 0, None, 1], [1, 0, None, None], [0, None, 1, None], [None, None, 0, 0]]
|
|
92
|
binairo
|
\n\n# Binairo Puzzle\n## Task:\nPlease examine the image carefully. The image shows a Binairo puzzle grid with blue digits representing 0s and red digits representing 1s. Empty cells need to be filled.\n\n## Rules:\n1. Fill the grid with 0s and 1s\n2. Each row and column must contain exactly 2 0s and 2 1s\n3. No three consecutive identical digits in any row or column\n4. All rows must be unique and all columns must be unique\n\n## Coordinate System:\n- Rows are numbered 1 to 4 from top to bottom\n- Columns are numbered 1 to 4 from left to right\n\nSolve the 4×4 Binairo puzzle shown in the image and provide your complete solution.\n\n## Output Format:\nYour answer must be formatted as a grid of 0s and 1s separated by spaces, with rows separated by newlines. For example:\n\n0 1 1 0 0 1\n1 0 1 0 1 0\n0 1 0 1 0 1\n1 0 0 1 1 0\n1 0 1 0 0 1\n0 1 0 1 1 0\n
|
\nPlease examine the grid carefully. The grid shows a Binairo puzzle grid with 0s and 1s. Empty cells need to be filled.\n\n## Rules:\n1. Fill the grid with 0s and 1s\n2. Each row and column must contain exactly 2 0s and 2 1s\n3. No three consecutive identical digits in any row or column\n4. All rows must be unique and all columns must be unique\n### Current Game State (text representation):\nRow 1: _ _ _ 0\nRow 2: 1 _ _ 0\nRow 3: 0 _ 1 1\nRow 4: 0 _ 0 _\n\n\n### Game State Explanation:\n- Grid dimensions: 4 rows × 4 columns\n- Total cells: 16\n- Filled cells: 8\n- Empty cells: 8\n\n### Text Representation Legend:\n- Numbers (0, 1): Pre-filled clues that cannot be changed\n- Underscore (_): Empty cells that need to be filled\n\n### Coordinate System:\n- Rows are numbered 1 to 4 from top to bottom\n- Columns are numbered 1 to 4 from left to right\n\n### Output Format:\nYour answer must be formatted as a grid of 0s and 1s separated by spaces, with rows separated by newlines. For example:\n\n0 1 1 0 0 1\n1 0 1 0 1 0\n0 1 0 1 0 1\n1 0 0 1 1 0\n1 0 1 0 0 1\n0 1 0 1 1 0\n
|
1 0 1 0\n1 1 0 0\n0 0 1 1\n0 1 0 1
| 1
|
{'score_function': 'binairo_evaluator'}
|
[[None, None, None, 0], [1, None, None, 0], [0, None, 1, 1], [0, None, 0, None]]
|
|
93
|
binairo
|
\n\n# Binairo Puzzle\n## Task:\nPlease examine the image carefully. The image shows a Binairo puzzle grid with blue digits representing 0s and red digits representing 1s. Empty cells need to be filled.\n\n## Rules:\n1. Fill the grid with 0s and 1s\n2. Each row and column must contain exactly 2 0s and 2 1s\n3. No three consecutive identical digits in any row or column\n4. All rows must be unique and all columns must be unique\n\n## Coordinate System:\n- Rows are numbered 1 to 4 from top to bottom\n- Columns are numbered 1 to 4 from left to right\n\nSolve the 4×4 Binairo puzzle shown in the image and provide your complete solution.\n\n## Output Format:\nYour answer must be formatted as a grid of 0s and 1s separated by spaces, with rows separated by newlines. For example:\n\n0 1 1 0 0 1\n1 0 1 0 1 0\n0 1 0 1 0 1\n1 0 0 1 1 0\n1 0 1 0 0 1\n0 1 0 1 1 0\n
|
\nPlease examine the grid carefully. The grid shows a Binairo puzzle grid with 0s and 1s. Empty cells need to be filled.\n\n## Rules:\n1. Fill the grid with 0s and 1s\n2. Each row and column must contain exactly 2 0s and 2 1s\n3. No three consecutive identical digits in any row or column\n4. All rows must be unique and all columns must be unique\n### Current Game State (text representation):\nRow 1: 0 _ _ 1\nRow 2: 1 1 0 _\nRow 3: _ _ _ 0\nRow 4: _ _ 1 1\n\n\n### Game State Explanation:\n- Grid dimensions: 4 rows × 4 columns\n- Total cells: 16\n- Filled cells: 8\n- Empty cells: 8\n\n### Text Representation Legend:\n- Numbers (0, 1): Pre-filled clues that cannot be changed\n- Underscore (_): Empty cells that need to be filled\n\n### Coordinate System:\n- Rows are numbered 1 to 4 from top to bottom\n- Columns are numbered 1 to 4 from left to right\n\n### Output Format:\nYour answer must be formatted as a grid of 0s and 1s separated by spaces, with rows separated by newlines. For example:\n\n0 1 1 0 0 1\n1 0 1 0 1 0\n0 1 0 1 0 1\n1 0 0 1 1 0\n1 0 1 0 0 1\n0 1 0 1 1 0\n
|
0 1 0 1\n1 1 0 0\n1 0 1 0\n0 0 1 1
| 1
|
{'score_function': 'binairo_evaluator'}
|
[[0, None, None, 1], [1, 1, 0, None], [None, None, None, 0], [None, None, 1, 1]]
|
|
94
|
binairo
|
\n\n# Binairo Puzzle\n## Task:\nPlease examine the image carefully. The image shows a Binairo puzzle grid with blue digits representing 0s and red digits representing 1s. Empty cells need to be filled.\n\n## Rules:\n1. Fill the grid with 0s and 1s\n2. Each row and column must contain exactly 2 0s and 2 1s\n3. No three consecutive identical digits in any row or column\n4. All rows must be unique and all columns must be unique\n\n## Coordinate System:\n- Rows are numbered 1 to 4 from top to bottom\n- Columns are numbered 1 to 4 from left to right\n\nSolve the 4×4 Binairo puzzle shown in the image and provide your complete solution.\n\n## Output Format:\nYour answer must be formatted as a grid of 0s and 1s separated by spaces, with rows separated by newlines. For example:\n\n0 1 1 0 0 1\n1 0 1 0 1 0\n0 1 0 1 0 1\n1 0 0 1 1 0\n1 0 1 0 0 1\n0 1 0 1 1 0\n
|
\nPlease examine the grid carefully. The grid shows a Binairo puzzle grid with 0s and 1s. Empty cells need to be filled.\n\n## Rules:\n1. Fill the grid with 0s and 1s\n2. Each row and column must contain exactly 2 0s and 2 1s\n3. No three consecutive identical digits in any row or column\n4. All rows must be unique and all columns must be unique\n### Current Game State (text representation):\nRow 1: _ 1 0 _\nRow 2: _ 0 1 _\nRow 3: 0 1 1 0\nRow 4: _ 0 0 _\n\n\n### Game State Explanation:\n- Grid dimensions: 4 rows × 4 columns\n- Total cells: 16\n- Filled cells: 10\n- Empty cells: 6\n\n### Text Representation Legend:\n- Numbers (0, 1): Pre-filled clues that cannot be changed\n- Underscore (_): Empty cells that need to be filled\n\n### Coordinate System:\n- Rows are numbered 1 to 4 from top to bottom\n- Columns are numbered 1 to 4 from left to right\n\n### Output Format:\nYour answer must be formatted as a grid of 0s and 1s separated by spaces, with rows separated by newlines. For example:\n\n0 1 1 0 0 1\n1 0 1 0 1 0\n0 1 0 1 0 1\n1 0 0 1 1 0\n1 0 1 0 0 1\n0 1 0 1 1 0\n
|
0 1 0 1\n1 0 1 0\n0 1 1 0\n1 0 0 1
| 1
|
{'score_function': 'binairo_evaluator'}
|
[[None, 1, 0, None], [None, 0, 1, None], [0, 1, 1, 0], [None, 0, 0, None]]
|
|
95
|
binairo
|
\n\n# Binairo Puzzle\n## Task:\nPlease examine the image carefully. The image shows a Binairo puzzle grid with blue digits representing 0s and red digits representing 1s. Empty cells need to be filled.\n\n## Rules:\n1. Fill the grid with 0s and 1s\n2. Each row and column must contain exactly 2 0s and 2 1s\n3. No three consecutive identical digits in any row or column\n4. All rows must be unique and all columns must be unique\n\n## Coordinate System:\n- Rows are numbered 1 to 4 from top to bottom\n- Columns are numbered 1 to 4 from left to right\n\nSolve the 4×4 Binairo puzzle shown in the image and provide your complete solution.\n\n## Output Format:\nYour answer must be formatted as a grid of 0s and 1s separated by spaces, with rows separated by newlines. For example:\n\n0 1 1 0 0 1\n1 0 1 0 1 0\n0 1 0 1 0 1\n1 0 0 1 1 0\n1 0 1 0 0 1\n0 1 0 1 1 0\n
|
\nPlease examine the grid carefully. The grid shows a Binairo puzzle grid with 0s and 1s. Empty cells need to be filled.\n\n## Rules:\n1. Fill the grid with 0s and 1s\n2. Each row and column must contain exactly 2 0s and 2 1s\n3. No three consecutive identical digits in any row or column\n4. All rows must be unique and all columns must be unique\n### Current Game State (text representation):\nRow 1: 0 _ _ 1\nRow 2: _ 1 _ 1\nRow 3: 1 _ 0 _\nRow 4: 1 0 1 _\n\n\n### Game State Explanation:\n- Grid dimensions: 4 rows × 4 columns\n- Total cells: 16\n- Filled cells: 9\n- Empty cells: 7\n\n### Text Representation Legend:\n- Numbers (0, 1): Pre-filled clues that cannot be changed\n- Underscore (_): Empty cells that need to be filled\n\n### Coordinate System:\n- Rows are numbered 1 to 4 from top to bottom\n- Columns are numbered 1 to 4 from left to right\n\n### Output Format:\nYour answer must be formatted as a grid of 0s and 1s separated by spaces, with rows separated by newlines. For example:\n\n0 1 1 0 0 1\n1 0 1 0 1 0\n0 1 0 1 0 1\n1 0 0 1 1 0\n1 0 1 0 0 1\n0 1 0 1 1 0\n
|
0 0 1 1\n0 1 0 1\n1 1 0 0\n1 0 1 0
| 1
|
{'score_function': 'binairo_evaluator'}
|
[[0, None, None, 1], [None, 1, None, 1], [1, None, 0, None], [1, 0, 1, None]]
|
|
96
|
binairo
|
\n\n# Binairo Puzzle\n## Task:\nPlease examine the image carefully. The image shows a Binairo puzzle grid with blue digits representing 0s and red digits representing 1s. Empty cells need to be filled.\n\n## Rules:\n1. Fill the grid with 0s and 1s\n2. Each row and column must contain exactly 2 0s and 2 1s\n3. No three consecutive identical digits in any row or column\n4. All rows must be unique and all columns must be unique\n\n## Coordinate System:\n- Rows are numbered 1 to 4 from top to bottom\n- Columns are numbered 1 to 4 from left to right\n\nSolve the 4×4 Binairo puzzle shown in the image and provide your complete solution.\n\n## Output Format:\nYour answer must be formatted as a grid of 0s and 1s separated by spaces, with rows separated by newlines. For example:\n\n0 1 1 0 0 1\n1 0 1 0 1 0\n0 1 0 1 0 1\n1 0 0 1 1 0\n1 0 1 0 0 1\n0 1 0 1 1 0\n
|
\nPlease examine the grid carefully. The grid shows a Binairo puzzle grid with 0s and 1s. Empty cells need to be filled.\n\n## Rules:\n1. Fill the grid with 0s and 1s\n2. Each row and column must contain exactly 2 0s and 2 1s\n3. No three consecutive identical digits in any row or column\n4. All rows must be unique and all columns must be unique\n### Current Game State (text representation):\nRow 1: 0 _ _ 1\nRow 2: 1 _ 0 1\nRow 3: 1 0 _ _\nRow 4: 0 _ 1 0\n\n\n### Game State Explanation:\n- Grid dimensions: 4 rows × 4 columns\n- Total cells: 16\n- Filled cells: 10\n- Empty cells: 6\n\n### Text Representation Legend:\n- Numbers (0, 1): Pre-filled clues that cannot be changed\n- Underscore (_): Empty cells that need to be filled\n\n### Coordinate System:\n- Rows are numbered 1 to 4 from top to bottom\n- Columns are numbered 1 to 4 from left to right\n\n### Output Format:\nYour answer must be formatted as a grid of 0s and 1s separated by spaces, with rows separated by newlines. For example:\n\n0 1 1 0 0 1\n1 0 1 0 1 0\n0 1 0 1 0 1\n1 0 0 1 1 0\n1 0 1 0 0 1\n0 1 0 1 1 0\n
|
0 1 0 1\n1 0 0 1\n1 0 1 0\n0 1 1 0
| 1
|
{'score_function': 'binairo_evaluator'}
|
[[0, None, None, 1], [1, None, 0, 1], [1, 0, None, None], [0, None, 1, 0]]
|
|
97
|
binairo
|
\n\n# Binairo Puzzle\n## Task:\nPlease examine the image carefully. The image shows a Binairo puzzle grid with blue digits representing 0s and red digits representing 1s. Empty cells need to be filled.\n\n## Rules:\n1. Fill the grid with 0s and 1s\n2. Each row and column must contain exactly 3 0s and 3 1s\n3. No three consecutive identical digits in any row or column\n4. All rows must be unique and all columns must be unique\n\n## Coordinate System:\n- Rows are numbered 1 to 6 from top to bottom\n- Columns are numbered 1 to 6 from left to right\n\nSolve the 6×6 Binairo puzzle shown in the image and provide your complete solution.\n\n## Output Format:\nYour answer must be formatted as a grid of 0s and 1s separated by spaces, with rows separated by newlines. For example:\n\n0 1 1 0 0 1\n1 0 1 0 1 0\n0 1 0 1 0 1\n1 0 0 1 1 0\n1 0 1 0 0 1\n0 1 0 1 1 0\n
|
\nPlease examine the grid carefully. The grid shows a Binairo puzzle grid with 0s and 1s. Empty cells need to be filled.\n\n## Rules:\n1. Fill the grid with 0s and 1s\n2. Each row and column must contain exactly 3 0s and 3 1s\n3. No three consecutive identical digits in any row or column\n4. All rows must be unique and all columns must be unique\n### Current Game State (text representation):\nRow 1: 0 _ _ 0 _ 1\nRow 2: 0 0 1 0 _ 1\nRow 3: _ _ 0 1 _ _\nRow 4: _ 1 _ _ 0 _\nRow 5: _ _ _ _ 1 0\nRow 6: 1 1 _ _ 0 _\n\n\n### Game State Explanation:\n- Grid dimensions: 6 rows × 6 columns\n- Total cells: 36\n- Filled cells: 17\n- Empty cells: 19\n\n### Text Representation Legend:\n- Numbers (0, 1): Pre-filled clues that cannot be changed\n- Underscore (_): Empty cells that need to be filled\n\n### Coordinate System:\n- Rows are numbered 1 to 6 from top to bottom\n- Columns are numbered 1 to 6 from left to right\n\n### Output Format:\nYour answer must be formatted as a grid of 0s and 1s separated by spaces, with rows separated by newlines. For example:\n\n0 1 1 0 0 1\n1 0 1 0 1 0\n0 1 0 1 0 1\n1 0 0 1 1 0\n1 0 1 0 0 1\n0 1 0 1 1 0\n
|
0 1 1 0 0 1\n0 0 1 0 1 1\n1 0 0 1 1 0\n0 1 0 1 0 1\n1 0 1 0 1 0\n1 1 0 1 0 0
| 2
|
{'score_function': 'binairo_evaluator'}
|
[[0, None, None, 0, None, 1], [0, 0, 1, 0, None, 1], [None, None, 0, 1, None, None], [None, 1, None, None, 0, None], [None, None, None, None, 1, 0], [1, 1, None, None, 0, None]]
|
|
98
|
binairo
|
\n\n# Binairo Puzzle\n## Task:\nPlease examine the image carefully. The image shows a Binairo puzzle grid with blue digits representing 0s and red digits representing 1s. Empty cells need to be filled.\n\n## Rules:\n1. Fill the grid with 0s and 1s\n2. Each row and column must contain exactly 3 0s and 3 1s\n3. No three consecutive identical digits in any row or column\n4. All rows must be unique and all columns must be unique\n\n## Coordinate System:\n- Rows are numbered 1 to 6 from top to bottom\n- Columns are numbered 1 to 6 from left to right\n\nSolve the 6×6 Binairo puzzle shown in the image and provide your complete solution.\n\n## Output Format:\nYour answer must be formatted as a grid of 0s and 1s separated by spaces, with rows separated by newlines. For example:\n\n0 1 1 0 0 1\n1 0 1 0 1 0\n0 1 0 1 0 1\n1 0 0 1 1 0\n1 0 1 0 0 1\n0 1 0 1 1 0\n
|
\nPlease examine the grid carefully. The grid shows a Binairo puzzle grid with 0s and 1s. Empty cells need to be filled.\n\n## Rules:\n1. Fill the grid with 0s and 1s\n2. Each row and column must contain exactly 3 0s and 3 1s\n3. No three consecutive identical digits in any row or column\n4. All rows must be unique and all columns must be unique\n### Current Game State (text representation):\nRow 1: 0 _ _ _ _ _\nRow 2: 0 _ _ _ _ _\nRow 3: _ _ 0 _ _ 0\nRow 4: _ _ 1 _ _ _\nRow 5: _ 1 _ _ _ _\nRow 6: 1 1 _ _ _ _\n\n\n### Game State Explanation:\n- Grid dimensions: 6 rows × 6 columns\n- Total cells: 36\n- Filled cells: 8\n- Empty cells: 28\n\n### Text Representation Legend:\n- Numbers (0, 1): Pre-filled clues that cannot be changed\n- Underscore (_): Empty cells that need to be filled\n\n### Coordinate System:\n- Rows are numbered 1 to 6 from top to bottom\n- Columns are numbered 1 to 6 from left to right\n\n### Output Format:\nYour answer must be formatted as a grid of 0s and 1s separated by spaces, with rows separated by newlines. For example:\n\n0 1 1 0 0 1\n1 0 1 0 1 0\n0 1 0 1 0 1\n1 0 0 1 1 0\n1 0 1 0 0 1\n0 1 0 1 1 0\n
|
0 0 1 0 1 1\n0 0 1 1 0 1\n1 1 0 1 0 0\n1 0 1 0 1 0\n0 1 0 1 0 1\n1 1 0 0 1 0
| 2
|
{'score_function': 'binairo_evaluator'}
|
[[0, None, None, None, None, None], [0, None, None, None, None, None], [None, None, 0, None, None, 0], [None, None, 1, None, None, None], [None, 1, None, None, None, None], [1, 1, None, None, None, None]]
|
|
99
|
binairo
|
\n\n# Binairo Puzzle\n## Task:\nPlease examine the image carefully. The image shows a Binairo puzzle grid with blue digits representing 0s and red digits representing 1s. Empty cells need to be filled.\n\n## Rules:\n1. Fill the grid with 0s and 1s\n2. Each row and column must contain exactly 3 0s and 3 1s\n3. No three consecutive identical digits in any row or column\n4. All rows must be unique and all columns must be unique\n\n## Coordinate System:\n- Rows are numbered 1 to 6 from top to bottom\n- Columns are numbered 1 to 6 from left to right\n\nSolve the 6×6 Binairo puzzle shown in the image and provide your complete solution.\n\n## Output Format:\nYour answer must be formatted as a grid of 0s and 1s separated by spaces, with rows separated by newlines. For example:\n\n0 1 1 0 0 1\n1 0 1 0 1 0\n0 1 0 1 0 1\n1 0 0 1 1 0\n1 0 1 0 0 1\n0 1 0 1 1 0\n
|
\nPlease examine the grid carefully. The grid shows a Binairo puzzle grid with 0s and 1s. Empty cells need to be filled.\n\n## Rules:\n1. Fill the grid with 0s and 1s\n2. Each row and column must contain exactly 3 0s and 3 1s\n3. No three consecutive identical digits in any row or column\n4. All rows must be unique and all columns must be unique\n### Current Game State (text representation):\nRow 1: 1 1 _ 0 1 0\nRow 2: 1 1 _ 1 0 _\nRow 3: 0 0 1 0 1 _\nRow 4: 1 0 1 _ 1 0\nRow 5: 0 _ 0 _ _ _\nRow 6: 0 _ 1 1 _ 1\n\n\n### Game State Explanation:\n- Grid dimensions: 6 rows × 6 columns\n- Total cells: 36\n- Filled cells: 25\n- Empty cells: 11\n\n### Text Representation Legend:\n- Numbers (0, 1): Pre-filled clues that cannot be changed\n- Underscore (_): Empty cells that need to be filled\n\n### Coordinate System:\n- Rows are numbered 1 to 6 from top to bottom\n- Columns are numbered 1 to 6 from left to right\n\n### Output Format:\nYour answer must be formatted as a grid of 0s and 1s separated by spaces, with rows separated by newlines. For example:\n\n0 1 1 0 0 1\n1 0 1 0 1 0\n0 1 0 1 0 1\n1 0 0 1 1 0\n1 0 1 0 0 1\n0 1 0 1 1 0\n
|
1 1 0 0 1 0\n1 1 0 1 0 0\n0 0 1 0 1 1\n1 0 1 0 1 0\n0 1 0 1 0 1\n0 0 1 1 0 1
| 2
|
{'score_function': 'binairo_evaluator'}
|
[[1, 1, None, 0, 1, 0], [1, 1, None, 1, 0, None], [0, 0, 1, 0, 1, None], [1, 0, 1, None, 1, 0], [0, None, 0, None, None, None], [0, None, 1, 1, None, 1]]
|
|
100
|
binairo
|
\n\n# Binairo Puzzle\n## Task:\nPlease examine the image carefully. The image shows a Binairo puzzle grid with blue digits representing 0s and red digits representing 1s. Empty cells need to be filled.\n\n## Rules:\n1. Fill the grid with 0s and 1s\n2. Each row and column must contain exactly 3 0s and 3 1s\n3. No three consecutive identical digits in any row or column\n4. All rows must be unique and all columns must be unique\n\n## Coordinate System:\n- Rows are numbered 1 to 6 from top to bottom\n- Columns are numbered 1 to 6 from left to right\n\nSolve the 6×6 Binairo puzzle shown in the image and provide your complete solution.\n\n## Output Format:\nYour answer must be formatted as a grid of 0s and 1s separated by spaces, with rows separated by newlines. For example:\n\n0 1 1 0 0 1\n1 0 1 0 1 0\n0 1 0 1 0 1\n1 0 0 1 1 0\n1 0 1 0 0 1\n0 1 0 1 1 0\n
|
\nPlease examine the grid carefully. The grid shows a Binairo puzzle grid with 0s and 1s. Empty cells need to be filled.\n\n## Rules:\n1. Fill the grid with 0s and 1s\n2. Each row and column must contain exactly 3 0s and 3 1s\n3. No three consecutive identical digits in any row or column\n4. All rows must be unique and all columns must be unique\n### Current Game State (text representation):\nRow 1: 1 0 _ 1 _ _\nRow 2: _ _ 0 _ 1 _\nRow 3: 0 _ 1 _ _ _\nRow 4: 0 _ 1 _ 0 _\nRow 5: _ 0 _ _ _ 0\nRow 6: _ 1 _ _ 0 1\n\n\n### Game State Explanation:\n- Grid dimensions: 6 rows × 6 columns\n- Total cells: 36\n- Filled cells: 15\n- Empty cells: 21\n\n### Text Representation Legend:\n- Numbers (0, 1): Pre-filled clues that cannot be changed\n- Underscore (_): Empty cells that need to be filled\n\n### Coordinate System:\n- Rows are numbered 1 to 6 from top to bottom\n- Columns are numbered 1 to 6 from left to right\n\n### Output Format:\nYour answer must be formatted as a grid of 0s and 1s separated by spaces, with rows separated by newlines. For example:\n\n0 1 1 0 0 1\n1 0 1 0 1 0\n0 1 0 1 0 1\n1 0 0 1 1 0\n1 0 1 0 0 1\n0 1 0 1 1 0\n
|
1 0 0 1 0 1\n1 1 0 0 1 0\n0 1 1 0 1 0\n0 0 1 1 0 1\n1 0 0 1 1 0\n0 1 1 0 0 1
| 2
|
{'score_function': 'binairo_evaluator'}
|
[[1, 0, None, 1, None, None], [None, None, 0, None, 1, None], [0, None, 1, None, None, None], [0, None, 1, None, 0, None], [None, 0, None, None, None, 0], [None, 1, None, None, 0, 1]]
|
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