magic square 3x3 from one 9 element block of first 360 naturals
Source: Mathematics Regional Olympiad of Mexico Center Zone 2015 P1
November 12, 2021
combinatorics
Problem Statement
The first natural numbers are separated into blocks in such a way that the numbers in each block are consecutive. Then, the numbers in each block are added, obtaining numbers. Is it possible to fill a grid and form a magic square with these numbers? Note: In a magic square, the sum of the numbers written in any column, diagonal or row of the grid is the same.