MathDB

6

Part of 2017 All-Russian Olympiad

Problems(1)

Chips in the table

Source: All Russian Olympiad 2017,Day2,grade 11,P6

5/1/2017
In the 200×200200\times 200 table in some cells lays red or blue chip. Every chip "see" other chip, if they lay in same row or column. Every chip "see" exactly 55 chips of other color. Find maximum number of chips in the table.
combinatorics