Getting back to the old things #6

A solid body of mass MM is in the shape of a quadrant sphere of radius RR. It is released from rest in a position such that the curved portion is at a height RR.

The collision is perfectly elastic. The angular velocity of the body just after striking the ground is represented in the form abcgR\dfrac{a}{b} \sqrt{\frac{cg}{R}}, where gg represents acceleration due to gravity. Here aa and bb are coprime positive integers and cc is square free.

Submit your answer as a+b+ca+b+c.

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