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BALTIC-WAY 1993 Problem 13

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An equilateral triangle ABCA B C is divided into 100 congruent equilateral triangles. What is the greatest number of vertices of small triangles that can be chosen so that no two of them lie on a line that is parallel to any of the sides of the triangle ABCA B C ?

Dataset text NuminaMath olympiads. Quoted with source.

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