project-euler / project-euler / 147 / euler-147-analysis.txt

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The vertical/horizontal number of rectangles is trivial:

If the rectangle dimensions are  s[x],s[y] and the board dimensions are
b[x], b[y] then there are ( b[x] - (s[x] - 1) ) * ( b[y] - (s[y] - 1) )
squares there of that size.

Now for the diagonal squares:
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