MathDB
2010 SMO (8)

Source:

November 1, 2010
combinatorics unsolvedcombinatorics

Problem Statement

A1,A2,,A8A_1,A_2,\cdots,A_8 are fixed points on a circle. Determine the smallest positive integer nn such that among any nn triangles with these eight points as vertices, two of them will have a common side.