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.


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.