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SMO 2018 Problem 4

    each of the squares in a 2 x 2018 grid of squares is to be coloured black or white such that in any 2 x 2 block , at least one of the 4 squares is white. let P be the number of ways of colouring the grid. find the largest k so that 3k3^k divides P.

    Dataset text AI-MO AoPS. Quoted with source.

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