You have a large supply of square 1 x 1 tiles and rectangular 1 x 2 tiles. How many ways are there to put together exactly 7 tiles to get a 1 x 10 rectangle? (Two of them are shown below.) 1x11x11x1 1x2 1x2 1x1 1x2 1x1 1x2 1x11x1 1x2 1x2 1x1

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