3 by 3 Magic Square
Source: 2012 Baltic Way, Problem 1
November 22, 2012
combinatorics unsolvedcombinatorics
Problem Statement
The numbers from 1 to 360 are partitioned into 9 subsets of consecutive integers and the sums of the numbers in each subset are arranged in the cells of a square. Is it possible that the square turns out to be a magic square?Remark: A magic square is a square in which the sums of the numbers in each row, in each column and in both diagonals are all equal.