112 numbers adding each 2 with a common edge in chessboard of 1-64
Source: : Gulf Mathematical Olympiad 2014 p4
August 23, 2019
combinatoricsSumChessboard
Problem Statement
The numbers from to must be written on the small squares of a chessboard, with a different number in each small square. Consider the numbers you can make by adding the numbers in two small squares which have a common edge. Is it possible to write the numbers in the squares so that these sums are all different?