MathDB
8x8 board with white/black pools, max/min # of mixed pairs

Source: Bulgaria 1970 P3

June 22, 2021
combinatoricsChessboard

Problem Statement

On a chessboard (with 6464 squares) there are situated 3232 white and 3232 black pools. We say that two pools form a mixed pair when they are with different colors and they lie on the same row or column. Find the maximum and the minimum of the mixed pairs for all possible situations of the pools.
K. Dochev