Datasets:
Dataset Viewer
id
int32 | category
string | images
images list | question
string | question_text
string | answer
string | difficulty
int32 | metric_info
string | initial_state
string |
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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.
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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.
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(3 × 4) + (5 + 7)
| 1 |
{'score_function': '24points_evaluator'}
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{'numbers': [3, 4, 5, 7]}
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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.
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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.
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3 × (7 + (8 ÷ 8))
| 1 |
{'score_function': '24points_evaluator'}
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{'numbers': [3, 7, 8, 8]}
|
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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.
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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.
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(1 + 1) × (3 × 4)
| 1 |
{'score_function': '24points_evaluator'}
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{'numbers': [1, 1, 3, 4]}
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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.
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(1 ÷ 3) × (8 × 9)
| 1 |
{'score_function': '24points_evaluator'}
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{'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.
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(2 × 6) + (6 + 6)
| 1 |
{'score_function': '24points_evaluator'}
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{'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.
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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.
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(2 + (9 ÷ 9)) × 8
| 1 |
{'score_function': '24points_evaluator'}
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{'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.
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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.
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4 - (1 - 5) × 5
| 2 |
{'score_function': '24points_evaluator'}
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{'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.
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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.
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(2 × 5) + (4 + 10)
| 2 |
{'score_function': '24points_evaluator'}
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{'numbers': [2, 4, 5, 10]}
|
|
9 |
24Points
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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.
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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.
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4 × (7 + (10 - 11))
| 2 |
{'score_function': '24points_evaluator'}
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{'numbers': [4, 7, 10, 11]}
|
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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.
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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.
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(1 ÷ 5) × (10 × 12)
| 2 |
{'score_function': '24points_evaluator'}
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{'numbers': [1, 5, 10, 12]}
|
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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.
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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.
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(1 + (3 × 9)) - 4
| 2 |
{'score_function': '24points_evaluator'}
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{'numbers': [1, 3, 4, 9]}
|
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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.
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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.
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(1 + 3) + (4 × 5)
| 2 |
{'score_function': '24points_evaluator'}
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{'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.
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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.
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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.
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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.
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(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.
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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.
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(1 + (4 ÷ 12)) × 18
| 3 |
{'score_function': '24points_evaluator'}
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{'numbers': [1, 4, 12, 18]}
|
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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.
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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.
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(7 × 8) - (13 + 19)
| 3 |
{'score_function': '24points_evaluator'}
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{'numbers': [7, 8, 13, 19]}
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17 |
24Points
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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.
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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.
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(10 - 8) × 19 - 14
| 3 |
{'score_function': '24points_evaluator'}
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{'numbers': [8, 10, 14, 19]}
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18 |
24Points
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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.
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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.
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(3 × 4) × (18 - 16)
| 3 |
{'score_function': '24points_evaluator'}
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{'numbers': [3, 4, 16, 18]}
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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.
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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.
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(4 + 14) ÷ 15 × 20
| 4 |
{'score_function': '24points_evaluator'}
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{'numbers': [4, 14, 15, 20]}
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20 |
24Points
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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.
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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.
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(1 - 5) + (10 + 18)
| 4 |
{'score_function': '24points_evaluator'}
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{'numbers': [1, 5, 10, 18]}
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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.
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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.
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(6 + (10 - 11)) + 19
| 4 |
{'score_function': '24points_evaluator'}
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{'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.
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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.
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(2 - 12) + (15 + 19)
| 4 |
{'score_function': '24points_evaluator'}
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{'numbers': [2, 12, 15, 19]}
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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.
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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.
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3 × (7 - 11 + 12)
| 4 |
{'score_function': '24points_evaluator'}
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{'numbers': [3, 7, 11, 12]}
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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.
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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.
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(4 × (11 - 9)) + 16
| 4 |
{'score_function': '24points_evaluator'}
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{'numbers': [4, 9, 11, 16]}
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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.
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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.
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(3 + (5 - 7)) + 23
| 5 |
{'score_function': '24points_evaluator'}
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{'numbers': [3, 5, 7, 23]}
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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.
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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.
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(6 × 8) ÷ (25 - 23)
| 5 |
{'score_function': '24points_evaluator'}
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{'numbers': [6, 8, 23, 25]}
|
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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.
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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.
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(3 + 5) ÷ 7 × 21
| 5 |
{'score_function': '24points_evaluator'}
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{'numbers': [3, 5, 7, 21]}
|
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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.
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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.
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(3 × 13) + (8 - 23)
| 5 |
{'score_function': '24points_evaluator'}
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{'numbers': [3, 8, 13, 23]}
|
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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.
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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.
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10 - (14 × (16 - 17))
| 5 |
{'score_function': '24points_evaluator'}
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{'numbers': [10, 14, 16, 17]}
|
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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.
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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.
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(10 + (12 - 20)) + 22
| 5 |
{'score_function': '24points_evaluator'}
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{'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
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\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
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[(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]}
|
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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
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\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
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[(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
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\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]}
|
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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]}
|
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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]}
|
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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
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\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
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\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]}
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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]}
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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]}
|
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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]}
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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
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\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
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\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
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\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
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\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
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\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
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\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
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\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
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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
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\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
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\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
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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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MM-HELIX: Boosting Multimodal Long-Chain Reflective Reasoning with Holistic Platform and Adaptive Hybrid Policy Optimization
This repository contains the MM-HELIX benchmark dataset, which was introduced in the paper MM-HELIX: Boosting Multimodal Long-Chain Reflective Reasoning with Holistic Platform and Adaptive Hybrid Policy Optimization.
🌐 Homepage | 🏆 Leaderboard | 🤗 MM-HELIX-Thinking-7B | 🤗 MM-HELIX Benchmark | 🤗 MM-HELIX-100K | 🤗 Paper | 📖 arXiv | GitHub
🔔 News
[2025-10-10]: Paper released on arXiv.
[2025-10-09]: Initial release of the evaluation code in VLMEvalKit.
🏗️ QuickStart for Evaluating MM-HELIX Benchmark
We provide our evaluation code in VLMEvalKit.
Here is a quick start example:
- Step 1. Install VLMEvalKit
conda create -n vlmevalkit python=3.10
conda activate vlmevalkit
git clone https://github.com/open-compass/VLMEvalKit.git
cd VLMEvalKit
pip install -e .
- Step 2. Evaluate Qwen2.5-VL-7B-Instruct on MM-HELIX Benchmark
export LMUData=path/to/your/LMUData
python run.py --data MM-HELIX --model Qwen2.5-VL-7B-Instruct --work-dir path/to/your/output --verbose
# For text-only:
python run.py --data MM-HELIX_lang --model Qwen2.5-VL-7B-Instruct --work-dir path/to/your/output --verbose
Introduction
While Multimodal Large Language Models (MLLMs) have shown proficiency in tasks like mathematics and logic, their ability for long-chain reflective reasoning—a key element for solving complex, real-world problems—is not fully developed. This type of reasoning requires iterative thinking and backtracking, which current models often lack.
MM-HELIX is a comprehensive platform designed to evaluate and enhance this crucial capability in MLLMs. It consists of:
- A Challenging Benchmark: A new benchmark, MM-HELIX, featuring 1,260 instances across 42 difficult tasks that demand reflective reasoning. Our findings show that existing MLLMs struggle significantly on this benchmark.
- A High-Quality Dataset (MM-HELIX-100K): To address the performance gap, we created MM-HELIX-100K, a dataset with 100,000 high-quality, reflective reasoning instruction-tuning samples, generated through our innovative Step-Elicited Response Generation (SERG) pipeline.
- An Advanced Training Method: We introduce Adaptive Hybrid Policy Optimization (AHPO), a novel training strategy that combines offline supervision with online optimization. This method effectively teaches the model to learn from expert data and explore solutions independently, overcoming issues like sparse rewards and catastrophic forgetting that are common in standard Reinforcement Learning.
Our model, based on Qwen2.5-VL-7B, shows a +18.6% improvement in accuracy on the MM-HELIX benchmark and a +5.7% average gain on general math and logic tasks, demonstrating that reflective reasoning can be effectively learned and generalized.
MM-HELIX Benchmark
The 42 tasks in the MM-HELIX benchmark.
The MM-HELIX benchmark is designed to test the limits of multimodal long-chain reflective reasoning in MLLMs.
- Diverse and Challenging Tasks: The benchmark includes 1,260 high-quality samples from 42 unique tasks divided into four categories: algorithms, graphs, puzzles, and games.
- Controlled Difficulty: Tasks are generated procedurally with five levels of difficulty, from Level 1 (very easy) to Level 5 (very hard), allowing for a detailed analysis of model performance at different complexities.
- Automated and Objective Evaluation: Our framework includes an Instance Generator, a deterministic Solver, and an automated Verifier. The Verifier validates the correctness of model-generated solutions, enabling objective and scalable evaluation, and also serves as a reward oracle in a reinforcement learning setup.
MM-HELIX-100K Dataset: High-Quality Multimodal Reflective CoT
To train models for complex reasoning, a large-scale, high-quality dataset is essential. We introduce MM-HELIX-100K, a dataset of 100,000 instruction-tuning instances with detailed, reflective reasoning paths.
This dataset was created using our Step-Elicited Response Generation (SERG) pipeline, which efficiently generates high-quality Chain-of-Thought (CoT) trajectories.
The SERG pipeline works as follows:
- A rule-based CoT constructor first generates a skeletal reasoning path.
- This path is then refined by a powerful language model (Qwen3-235B) to create a more natural, human-like reasoning process that includes reflective steps.
- Finally, each generated trajectory is validated by our automated verifier to ensure its correctness and quality.
The Step-Elicited Response Generation (SERG) pipeline.
Dataset Structure
The MM-HELIX benchmark dataset (tianhao2k/MM-HELIX) is split into a test set, containing 1,290 examples.
Each sample in the dataset contains the following features:
id: Unique identifier for each sample.category: Category of the task (e.g., "algorithms", "graphs", "puzzles", "games").images: Sequence of image inputs relevant to the task.question: The main question or prompt.question_text: Textual representation of the question.answer: The correct answer to the question.difficulty: Integer representing the difficulty level (1-5).metric_info: Information about evaluation metrics.initial_state: Initial state for the task.
For the related instruction-tuning dataset, please refer to the MM-HELIX-100K dataset on the Hugging Face Hub.
Citation
If you find our work useful, please consider citing our paper:
@article{zhao2025mmhelix,
title={MM-HELIX: Boosting Multimodal Long-Chain Reflective Reasoning with Holistic Platform and Adaptive Hybrid Policy Optimization},
author={Zhao, Xiangyu and Lin, Junming and Liang, Tianhao and Zhou, Yifan and Chai, Wenhao and Gu, Yuzhe and Wang, Weiyun and Chen, Kai and Luo, Gen and Zhang, Wenwei and Yan, Junchi and Yang, Hua and Duan, Haodong and Yang, Xue},
journal={arXiv preprint arXiv:2510.08540},
year={2025}
}
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