# Day 12: Rotating Tables!

A table with length $$a$$, width $$b$$ is small if it can be fully rotated in a room with dimensions $$a + 2$$, $$b + 2$$ (height is discounted).

Find the number of distinct small tables with (positive) integer side lengths.

Note: Rotations and reflections are considered identical.

###### This problem is part of the set Advent Calendar 2014.
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