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squares have their vertices in a (k+1)x(k+1) array of lattice points

Source: Brazilian Mathematical Olympiad 1982 P3

July 27, 2018
combinatoricscombinatorial geometrylattice points

Problem Statement

SS is a (k+1)×(k+1)(k+1) \times (k+1) array of lattice points. How many squares have their vertices in SS?
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