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combinatoric geometry

Source: Ukrainian TST 2007 problem 10

September 19, 2007
geometrygeometry unsolved

Problem Statement

Find all positive integers n n such that acute-angled △ABC \triangle ABC with ∠BAC<π4 \angle BAC<\frac{\pi}{4} could be divided into n n quadrilateral. Every quadrilateral is inscribed in circle and radiuses of circles are in geometric progression. be carefull ! :lol:
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