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Mathematics, 20.06.2020 22:57 stricklandashley43

A lattice point in R 2 is a point (x, y), where both x and y are integers. Prove that if we pick 5 lattice points in random, we can always find 2 points so that their midpoint is also a lattice point. (The mid point of (x1, y1) and (x2, y2) is given by ( x1+x2 2 , y1+y2 2 ).)

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