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Tags:
sudoku
constraint-satisfaction
planning
reasoning
diffusion-language-model
reinforcement-learning
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README.md
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@@ -80,6 +80,64 @@ The standard setup used in d1/d2/SPG:
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- **Prompt format**: System prompt with CoT reasoning (`<reasoning>...</reasoning><answer>...</answer>`)
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- **Evaluation metric**: Cell-level accuracy (fraction of correctly filled empty cells)
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### Benchmark Results
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| Method | Sudoku Accuracy | Paper |
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- **Prompt format**: System prompt with CoT reasoning (`<reasoning>...</reasoning><answer>...</answer>`)
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- **Evaluation metric**: Cell-level accuracy (fraction of correctly filled empty cells)
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+
### Model Input Prompt Example
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The following is the actual prompt format used in d1/d2/SPG for training and evaluation:
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```
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[System]
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Please solve the following 4x4 Sudoku puzzle. The puzzle is provided as a 16-character
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string reading left-to-right, top-to-bottom, where '0' represents empty cells.
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Rules:
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- Fill empty cells with digits 1-4
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- Each row must contain digits 1-4 exactly once
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- Each column must contain digits 1-4 exactly once
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- Each 2x2 box must contain digits 1-4 exactly once
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Important: Your solution must be a COMPLETE 16-character string with only the digits 1-4,
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representing your final solved grid.
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Respond in this exact format:
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<reasoning>
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Your step-by-step solving process
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</reasoning>
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<answer>
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[16-character solution string with no spaces or separators]
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</answer>
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[User]
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Solve the following Sudoku puzzle: 0321003004002100
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```
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**Expected model output (example - actual CoT content varies by model):**
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```
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<reasoning>
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The puzzle grid is:
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0 3 | 2 1
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0 0 | 3 0
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----+----
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0 4 | 0 0
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2 1 | 0 0
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Row 1: has 3,2,1 → missing 4 → position 0 = 4
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Row 2: has 3 → need 1,2,4
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Col 0: has 2 → need 1 or 4; Box0: has 3 → R1C0=4, so need 1 → position 4 = 1
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Col 1: has 3,4,1 → need 2 → position 5 = 2
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Col 3: has 1 → need 2,3,4; Row2 needs 4 → position 7 = 4
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Row 3: has 4 → need 1,2,3
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Col 2: has 2,3 → need 1 or 4; Row3 needs 1,2,3 → position 10 = 1
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Col 3: has 1,4 → need 2 or 3; Box3: has 1 → position 11 = 2
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Row 4: has 2,1 → need 3,4
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Col 2: has 2,3,1 → need 4 → position 14 = 4
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Col 3: has 1,4,2 → need 3 → position 15 = 3
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</reasoning>
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<answer>
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4321123434122143
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</answer>
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```
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### Benchmark Results
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| Method | Sudoku Accuracy | Paper |
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