Question

Fill each box of the magic square, with a number such that the number adds up to 18 horizontally, vertically and diagonally? `[(, ,), (, ,), (, ,)]`

`[(7, ,), (, 6,), (, 10,)]`

Answer 1

`[[7, 2, 9], [8, 6, 4], [3, 10, 5]]`

Explanation:

We can fill in the unknown squares, one at a time to satisfy the constraints:

`[[7, ?, ?], [?, 6, ?], [?, 10, ?]] -> [[7, ?, ?], [?, 6, ?], [?, 10, 5]] -> [[7, ?, ?], [?, 6, ?], [3, 10, 5]]`

`-> [[7, ?, ?], [8, 6, ?], [3, 10, 5]] -> [[7, ?, ?], [8, 6, 4], [3, 10, 5]] -> [[7, 2, ?], [8, 6, 4], [3, 10, 5]]`

`-> [[7, 2, 9], [8, 6, 4], [3, 10, 5]]`

Bonus

An example `4xx4` magic square is:

`[[1, 12, 7, 14], [8, 13, 2, 11], [10, 3, 16, 5], [15, 6, 9, 4]]`

This one adds up to `34` in each column, row, diagonal or `2xx2` block of cells.