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The Problem

Take a $5\times 5$ grid and populate it with the numbers $1$ to $25$ such that the sum of all rows, columns, and both main diagonals are equal. Additionally, only even numbers are allowed on the corners

I found the "go up one and right one" method but that does not satisfy the odd even restriction.

Through a simple calculation I know that the sum must be equal to $65$.

Are there any tricks or methods to solve this? Or should I just try out multiple configurations and switch up elements until I arrive at the solution?

Just switching up the elements have helped me arrive here. Everything is satisfied except for the diagonals.

Current Solution Current solution

I can continue with my random method but there must be some kind of trick which makes it easy.

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