Please try your hand on the following problem:
In a triangle ABC,E and F are points on BC such that AE and AF are the trisectors of BAC.BB' is a median.
O is the circumcenter.P,Q,R,S are the intersections of AE and AF with BB' and OB' respectively.Find the ratio of area of quadrilateral PQRS to that of ABC.
I would be grateful is anyone can present a cute solution.
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