Crazy circles

Geometry Level 5

Three circles mutually tangent with centers AA, BB and CC have radii of 2121, 1414 and cc respectively. Let the circle with center DD and radius 22 be externally tangent to the three circles, and let the circle with center EE and radius RR be internally tangent to the three circles. Find 100(c+R)\lfloor 100(c+R) \rfloor.

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