MathDB
Length of roken line is greater than 1248

Source:

September 22, 2010
combinatoricslengthpoint setpolygonIMO Shortlist

Problem Statement

A broken line A1A2AnA_1A_2 \ldots A_n is drawn in a 50×5050 \times 50 square, so that the distance from any point of the square to the broken line is less than 11. Prove that its total length is greater than 1248.1248.