How many squares, of any size, can you find on this chess board which do not contain a Rook?
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Solution
128.
There are 62 squares of size 1x1.
There are 41 squares of size 2x2.
There are 18 squares of size 3x3.
There are 6 squares of size 4x4.
There is 1 square of size 5x5.
A total of 62 + 41 + 18 + 6 + 1 = 128.