Problem #5

A magic square is an n×n array of distinct positive integers (n > 1) such that the sum of the entries in each row, in each column, and along the two diagonals is the same. For example, a 3×3 magic square with a sum of 2007 is shown below.

672 665 670
667 669 671
668 673 666

This month's problem is to find the smallest size magic square with a sum of 2008. Try to find such a square whose largest entry is as small as possible.

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