deletions | additions       diff --git a/Parity_is_manifested_within_the__.tex b/Parity_is_manifested_within_the__.tex  index a10725c..e3c4c5e 100644  --- a/Parity_is_manifested_within_the__.tex  +++ b/Parity_is_manifested_within_the__.tex 
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This same idea was critical in solving the mutilated chess board problem which states: "Suppose a standard 8x8 chessboard has two diagonally opposite corners removed, leaving 62 squares. Is it possible to place 31 dominoes of size 2x1 so as to cover all of these squares?"  It has been proven that because each domino covers one square of each parity and there are two more squares of one parity than of the other, it is not possible to cover all the squares.