Glass tiles.
Consider a board which has 8 squares colored orange.
Each turn, you are allowed to pick 2 rows or columns and swap them. However, the order of the squares is not changed.
The goal is to make the colored squares lie on the upper left to lower right diagonal.
Is this always possible?
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1 solution
For the orange squares to be on a diagonal, they must all be in different columns and rows. This is not possible to achieve if two or more squares are in the same row or same column to begin with.