olymmath

INMO 2006 Problem 2

    Prove that for every positive integer nn there exists a unique ordered pair (a,b)(a, b) of positive integers such that

    n=12(a+b−1)(a+b−2)+an=\frac{1}{2}(a+b-1)(a+b-2)+a

    Dataset text NuminaMath olympiads. Quoted with source.

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