marbles placed chessboard
Source: Turkey JBMO TST 2023 Day 2 P2
April 30, 2023
Chessboardcombinatorics
Problem Statement
A marble is placed on each unit square of a chessboard. After that, the number of marbles in the same row or column with that square is written on each of the remaining empty unit squares. What is the maximum sum of the numbers written on the board?