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0251 combo geo 2nd edition Round 5 p1

Source:

May 10, 2021

combinatoricsgeometry2nd edition

Problem Statement

For which positive integers

n \ge 4

one can find n points in the plane, no three collinear, such that for each triangle formed with three of the

n

points which are on the convex hull, exactly one of the

n - 3

remaining points belongs to its interior.