Count 'em All 8!

Count the number of \(3\times6\) rectangles in the \(50\times39\) grid above.

I'm lazy to draw new grids by the way.

Details and assumptions:

  • Dimensions are expressed as width\(\times\)height. Thus a \(3\times6\) rectangle (that is, a rectangle of width 3 and height 6) is considered to be different to a \(6\times3\) (width 6 height 3) rectangle, in this case, you only want the \(3\times6\) rectangles, not the \(6\times3\) ones.

This is one part of Quadrilatorics.

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