MathDB

real numbers into the cells of a square of size N x N

Source: Tournament of Towns, Junior A-Level Paper, Spring 2020 , p4

June 10, 2020

combinatoricssquare gridtable

Problem Statement

For which integers

N

it is possible to write real numbers into the cells of a square of size

N \times N

so that among the sums of each pair of adjacent cells there are all integers from

1

2(N-1)N

(each integer once)?
Maxim Didin