MathDB
Gold, silver, bronze can be determined in 39 matches

Source: Nordic MO 2009 Q4

April 20, 2013
combinatorics unsolvedcombinatorics

Problem Statement

3232 competitors participate in a tournament. No two of them are equal and in a one against one match the better always wins. Show that the gold, silver, and bronze medal winners can be found in 3939 matches.