MathDB
TOT 130 1986 Autumn S6 numbers 1-32 twice in a 8x8 chessboard

Source:

August 29, 2019
combinatoricssquare table

Problem Statement

Squares of an 8×88 \times 8 chessboard are each allocated a number between 11 and 3232 , with each number being used twice. Prove that it is possible to choose 3232 such squares, each allocated a different number, so that there is at least one such square on each row or column .
(A . Andjans, Riga