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BALTIC-WAY 2007 Problem 7

    A squiggle is composed of six equilateral triangles with side length 11 as shown in the figure below. Determine all possible integers nn such that an equilateral triangle with side length nn can be fully covered with squiggles (rotations and reflections of squiggles are allowed, overlappings are not).

    Dataset text AI-MO AoPS. Quoted with source.

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