olymmath

HMMT 2016 U32

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How many equilateral hexagons of side length 13\sqrt{13} have one vertex at (0,0)(0,0) and the other five vertices at lattice points? (A lattice point is a point whose Cartesian coordinates are both integers. A hexagon may be concave but not self-intersecting.)

Dataset text NuminaMath olympiads. Quoted with source.

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216

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