numbers 0-2 in nxn board (IV Soros Olympiad 1997-98 Correspondence 10.6)
Source:
June 1, 2024
combinatorics
Problem Statement
Is it possible to arrange in the cells of a square table the numbers , or so that the sums of the numbers in rows and columns took on all different values from to ? Consider two cases:
a) is an odd number;
b) is an even number.