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Bundeswettbwerb Mathematik 1979 Problem 2.3

Source: Bundeswettbewerb Mathematik 1979 Round 2

September 23, 2022
combinatoricspoints

Problem Statement

The nn participants of a tournament are numbered with 00 through nāˆ’1n - 1. At the end of the tournament it turned out that for every team, numbered with ss and having tt points, there are exactly tt teams having ss points each. Determine all possibilities for the final score list.