# I rocks everywhere

Geometry Level 5

Consider $$\Delta ABC$$ having $$I$$ as its incenter and $$I_1,I_2,I_3$$ as its excenters opposite to vertices $$A,B,C$$ respectively.If $$\Delta ABC$$ has a unit circumradius , find the value of :

$\Large\displaystyle\sum_{cyc\{1,2,3\}} (II_1^2 + I_2I_3^2)$

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