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4 color of m x n board

Source: Portugal OPM 2018 p3

May 15, 2024
Coloringcombinatoricscombinatorial geometry

Problem Statement

How many ways are there to paint an m×nm \times n board, so that each square is painted blue, white, brown or gold, and in each 2×22 \times 2 square there is one square of each color?
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