7. There are 100 chess bishops on white squares of a $100 \times 100$ 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?
Problem
Source: 45th International Tournament of Towns, Junior A-Level P7, Fall 2023
Tags: combinatorics