ELMO SL 2013 C6
A grid has its 16 cells colored arbitrarily in three colors. A swap is an exchange between the colors of two cells. Prove or disprove that it always takes at most three swaps to produce a line of symmetry, regardless of the grid's initial coloring.
Proposed by Matthew Babbitt
Dataset text AI-MO AoPS. Quoted with source.
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