A perfect cover.

This is a pretty famous problem that I wanted to share:

In how many ways can 32 2x1 dominoes form a perfect cover of a regular 8x8 chessboard?

Details and Assumptions

A perfect cover of a chess board with dominoes is the scenario where no two dominoes overlap and no domino hangs over the edge of the board. They are arranged in such a way that each domino covers one black square and one white square and the whole chess board is exactly covered by these dominoes.


The answer is 12988816.

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