olymmath

OMCPLP 2017 Problem 5

  • Day 2

The unit cells of a 5 x 5 board are painted with 5 colors in a way that every cell is painted by exactly one color and each color is used in 5 cells. Show that exists at least one line or one column of the board in which at least 3 colors were used.

Dataset text AI-MO AoPS. Quoted with source.

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