2017 Polish Junior Math Olympiad Second Round P1
Source: 2017 Polish Junior Math Olympiad Second Round
May 22, 2023
number theorycombinatorics
Problem Statement
In each square of a board, we are to write an integer in such a way that the sums of the numbers in each column and in each row are nonnegative integral powers of . Is it possible to do this in such a way that every two of these eight sums are different? Justify your answer.