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The
Colormatch Square
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Strategies
and Hints
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0, 1, 7, 10; 3, 6, 12, 9; 15, 11, 2, 5; 13, 14, 8, 4
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Because the problem states that the tiles cannot be rotated, only tiles 1, 4, and 5 can occupy the position to the right of tile 0.
Solution
In addition to the solution shown, the other unique solutions are:
| (1) 0, 1, 7, 10; | 3, 6, 13, 11; | 14, 8, 5, 15; | 9, 2, 4, 12 |
| (2) 0, 4, 8 ,5; | 3, 2, 1, 6; | 15, 11, 7, 10; | 12, 13, 14, 9 |
| (3) 0, 4, 8, 5; | 3, 2, 1, 6; | 15, 11, 7, 10; | 13, 14, 12, 9 |
| (4) 0, 4, 9, 7; | 3, 2, 5, 14; | 15, 11, 6, 8; | 12, 13, 10, 1 |
| (5) 0, 4, 12, 9; | 3, 2, 1, 7; | 15, 10, 5, 14; | 13, 11, 6, 8 |
| (6) 0, 5, 11, 2; | 3, 6, 12, 9; | 15, 10, 1, 7; | 14, 8, 4, 13 |
| (7) 0, 5, 11, 3; | 2, 4, 13, 15; | 10, 1, 7, 14; | 9, 6, 12, 8 |
| (8) 0, 5, 11, 7; | 3, 6, 13, 14; | 15, 10, 4, 8; | 12, 9, 2, 1 |
| (9) 0, 5, 14, 8; | 2, 4, 9, 3; | 10, 1, 7, 15; | 11, 6, 12, 13 |
| (10) 0, 5, 15, 10; | 3, 6, 12, 9; | 14, 8, 1, 7; | 11, 2, 4, 13 |
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