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Solution to Warm-up Puzzle:
Suppose the row player puts a 2 on the bottom row (replacing the C), yielding:
| 5 | 7 | 6 | 1 | 4 | 9 | 2 | 3 | 8 |
| 8 | 4 | 9 | 3 | 7 | 2 | 5 | 1 | 6 |
| 3 | 2 | 1 | 8 | 6 | 5 | 9 | 7 | 4 |
| 4 | 6 | 3 | 7 | 9 | 1 | 8 | 5 | 2 |
| 1 | 5 | 8 | 6 | 2 | 4 | 7 | 9 | 3 |
| 7 | 9 | 2 | 5 | 3 | 8 | 4 | 6 | 1 |
| 2 | 1 | 4 | 9 | 5 | 6 | 3 | 8 | 7 |
| 9 | 8 | 7 | 4 | 1 | 3 | 6 | A | 5 |
| 6 | 3 | 5 | B | 8 | 7 | 1 | 2 | 9 |
Then the column player has to move where the A is. The Sudoku rules would suggest replacing the A by a 4 to satisfy the constraints within the lower right-hand box. But that would violate the row constraint, because there is already a 4 in that row.
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