MathDB

091

Part of 1967 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 091 All Soviet Union MO 1967 499 white castles and 1 black king

Source:

6/20/2019
"KING-THE SUICIDER" Given a chess-board 1000×10001000\times 1000, 499499 white castles and a black king. Prove that it does not matter neither the initial situation nor the way white plays, but the king can always enter under the check in a finite number of moves.
combinatoricsChessboard