MathDB
product of numbers in any row and column is 5 or -5, array n x n

Source: 2003 Romania District VIII p3

August 15, 2024
combinatorics

Problem Statement

Consider an array n×nn \times n (n≥2n\ge 2) with n2n^2 integers. In how many ways one can complete the array if the product of the numbers on any row and column is 55 or −5-5?
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