# 5x5 Magic Square + Even Odd restriction

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

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