MathDB

Square

600\times 600

is divided into figures of four types, shown in figure. In the figures of the two types, shown on the left, in painted black, the cells recorded number

2^k

, where

k

is the number of the column, where is this cell (columns numbered from left to right by numbers from

1

600

). Prove that the sum of all recorded numbers are divisible by

9

. https://cdn.artofproblemsolving.com/attachments/2/5/811a0d1a6bea0e15a3271f62f35b9f4848a172.png

Problem Statement