# A cool geometry problem!

Geometry Level 3

In the given figure,$$S$$ is the circumcentre of $$\bigtriangleup ABC$$.Then find the value of $\dfrac{R}{AM}+\dfrac{R}{BN}+\dfrac{R}{CP}$,where $$R$$ is the circumradius of the $$\bigtriangleup ABC$$.

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