MathDB
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 3×33 \times 3 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.