A rectangle with side lengths integers $a$ and $b$ will be covered with tiles, rectangular with a length of one side so that a portion of the rectangular area will be covered with black tiles and the rest will be covered with white tiles. Determine the smallest possible values for a and b such that the tile installation process will be completed with at least $2013$ different ways.
2026-03-27 11:45:24.1774611924
Tiling with exactly 2013 different ways
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