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BALTIC-WAY 2016 Problem 12

    Does there exist a hexagon (not necessarily convex) with side lengths 1, 2, 3, 4, 5, 6 (not necessarily in this order) that can be tiled with a) 31 b) 32 equilateral triangles with side length 1 ?

    Dataset text NuminaMath olympiads. Quoted with source.

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