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AT-OEMO-REG 2008 Problem 3

    Given is an acute angled triangle ABCABC . Determine all points PP inside the triangle with 1≤∠APB∠ACB,∠BPC∠BAC,∠CPA∠CBA≤21\leq\frac{\angle APB}{\angle ACB},\frac{\angle BPC}{\angle BAC},\frac{\angle CPA}{\angle CBA}\leq2

    Dataset text AI-MO AoPS. Quoted with source.

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