MathDB

8

Part of 1991 India Regional Mathematical Olympiad

Problems(1)

Equal squares

Source: India RMO 1991 Problem 8

10/15/2005
The 6464 squares of an 8×88 \times 8 chessboard are filled with positive integers in such a way that each integer is the average of the integers on the neighbouring squares. Show that in fact all the 6464 entries are equal.