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# help help

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Each unit square of the 4x4 grid below is to be filled in with the number 1, 2, 3 or 4, so that:

Each row contains the numbers 1, 2, 3, and 4 in some order,

Each column contains the numbers 1, 2, 3, and 4 in some order, and

Each  square (outlined in bold) contains the numbers 1, 2, 3, and 4.

Some of the squares have already been filled in. Find the number of ways of filling in the rest of the grid.

May 30, 2023

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To solve the puzzle, we can approach it systematically by filling in the squares one by one. Here's one possible solution:

1 | 2 | 3 | 4
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3 | 4 | 1 | 2
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2 | 1 | 4 | 3
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4 | 3 | 2 | 1

In this solution, each row, column, and outlined square contains the numbers 1, 2, 3, and 4 exactly once.

Note that there might be other valid solutions as well. The important thing is that each row, column, and outlined square contains the numbers 1, 2, 3, and 4 without repetition.

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May 30, 2023
edited by marthasimons  May 30, 2023