Let ΔABC be a triangle with vertices A=(0,0),B=(6,0),C=(3,33), and ΔPQR the pedal triangle of ΔABC.
The sum of the circumradius of ΔABC and inradius of ΔPQR can be expressed as cab for positive integers a,b, and c, where a,c are coprime and b is square-free.
Find a×b×c.
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