# Affixing squares

Starting with a square of the size $$1 \times 1$$, you may do the following operation any number of times (including none at all): choose one side of the rectangle you have and affix a square to that side, with length equal to that side. The image above shows one possibility.

Determine the number of ordered pairs of integers $$(l,w)$$, with $$1 \le l,w \le 100$$, such that you can obtain a rectangle of size $$l \times w$$.

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