olymmath

CGMO 2018 Problem 7

    Given 2018×42018 \times 4 grids and tint them with red and blue. So that each row and each column has the same number of red and blue grids, respectively. Suppose there're MM ways to tint the grids with the mentioned requirement. Determine M(mod2018)M \pmod {2018} .

    Dataset text AI-MO AoPS. Quoted with source.

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