olymmath

HMMT 2023 U16

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The graph of the equation x+y=⌊x2+y2⌋x+y=\left\lfloor x^{2}+y^{2}\right\rfloor consists of several line segments. Compute the sum of their lengths.

Dataset text NuminaMath olympiads. Quoted with source.

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4+\sqrt{6}-\sqrt{2}

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