MathDB

fill the n x n table with numbers 1, 2 and -3 so that each sum is 0

Source: Czech-Polish-Slovak Match Junior 2019, individual p3 CPSJ

January 20, 2020

combinatoricsnumbers in a table

Problem Statement

Determine all positive integers

n

such that it is possible to fill the

n \times n

table with numbers

1, 2

and

-3

so that the sum of the numbers in each row and each column is

0