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SE-SKOLORNAS 1993 Problem 5

    A triangle with sides a,b,ca,b,c and perimeter 2p2p is given. Is possible, a new triangle with sides p−ap-a , p−bp-b , p−cp-c is formed. The process is then repeated with the new triangle. For which original triangles can this process be repeated indefinitely?

    Dataset text AI-MO AoPS. Quoted with source.

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