MathDB
Making Latin square by permuting rows

Source: Kürschák 2017 Problem 3

October 6, 2017
latin squaresudokucombinatoricstablepermutation

Problem Statement

An nn by nn table has an integer in each cell, such that no two cells within a row share the same number. Prove that it is possible to permute the elements within each row to obtain a table that has nn distinct numbers in each column.