MathDB
Inca nxn board

Source: 2009 Cuba MO 1.3

August 27, 2024
combinatorics

Problem Statement

In each square of an n×nn \times n board with n2n\ge 2, an integer is written not null. Said board is called Inca if for each square, the number written on it is equal to the difference of the numbers written on two of its neighboring squares (with a common side). For what values of nn, can you get Inca boards ?