Thank you Adam, but the thing is I don't only want the solution but
also, how to go about such questions? How do you came to a solution to
this question?

On Aug 24, 8:43 am, Adam <wangyanadam1...@gmail.com> wrote:
> Write here again:
> I find an easier non-recursive solution to compute the rectangle
> number (represented as RN) of an h x w rectangle (which has a height
> of h units and a width of w units):
>
> Situation 1:
>
> If (h and w are coprime) or (h = 1) or (w = 1)
>
> then RN = h + w - 1.
>
> Situation 2:
>
> If h and w are not relatively prime, we can find the greatest common
> divisor (represented as gcd) that makes
> (1) h = h' x gcd, w = w' x gcd
> and
> (2) (h' and w' are coprime) or (h' = 1) or (w' = 1),
>
> then we finally get the result RN = (h' + w' - 1) x gcd.
>
> This computation method will obviously help you find all the
> rectangles with a given pair of height and width. It's pretty much
> like a reverse problem.

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