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NL-NWO 1985 Problem 3

    In a factory, square tables of 40×4040 \times 40 are tiled with four tiles of size 20×2020 \times 20 . All tiles are the same and decorated in the same way with an asymmetric pattern such as the letter JJ . How many different types of tables can be produced in this way?

    Dataset text AI-MO AoPS. Quoted with source.

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