MathDB

M2772

Part of Kvant 2023

Problems(1)

chess bishops on a $100 \times 100$ chess board.

Source: 45th International Tournament of Towns, Junior A-Level P7, Fall 2023

12/16/2023
7. There are 100 chess bishops on white squares of a 100×100100 \times 100 chess board. Some of them are white and some of them are black. They can move in any order and capture the bishops of opposing color. What number of moves is sufficient for sure to retain only one bishop on the chess board?
combinatorics