Editorial for Mock CCC '18 Contest 2 J4/S2 - A Geometry Problem

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Author: xiaowuc1

We start by computing the sum of the areas of the rectangle and checking that it is a perfect square.

We now wish to verify whether we can build a square with side length $s$ ~s~. One of the rectangles must have a side length of $s$ ~s~ and be on the end of the rectangle. If it has dimensions $s \times a$ ~s \times a~, then we just need to check if the other two rectangles can form a rectangle with dimensions $s \times (s-a)$ ~s \times (s-a)~.

Two rectangles can form a rectangle of dimensions $x \times y$ ~x \times y~ if the rectangles have dimensions either $x \times z$ ~x \times z~ and $x \times (y-z)$ ~x \times (y-z)~ or $z \times y$ ~z \times y~ and $(x-z) \times y$ ~(x-z) \times y~.

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