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the broken line A_1A_2...A_n does not intersect itself

Source: JBMO 2003, Problem 2

October 10, 2005

Problem Statement

Suppose there are nn points in a plane no three of which are collinear with the property that if we label these points as A1,A2,…,AnA_1,A_2,\ldots,A_n in any way whatsoever, the broken line A1A2…AnA_1A_2\ldots A_n does not intersect itself. Find the maximum value of nn. Dinu Serbanescu, Romania
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