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Friday, September 17, 2010
38th Polish Mathematical Olympiad Problems 1987
38th Polish Mathematical Olympiad Problems 1987A1. There are n ≥ 2 points in a square side 1. Show that one can label the points P1, P2, ... , Pn such that ∑i=1n |Pi-1 - Pi|2 ≤ 4, where we use cyclic subscripts, so that P0 means Pn.
