MathDB
0 or 1 checkers in 8x8 board (2023 Auckland MO p3)

Source:

March 26, 2024
algebranumber theory

Problem Statement

Each square on an 8×88\times 8 checkers board contains either one or zero checkers. The number of checkers in each row is a multiple of 33, the number of checkers in each column is a multiple of 55. Assuming the top left corner of the board is shown below, how many checkers are used in total? https://cdn.artofproblemsolving.com/attachments/0/8/e46929e7ec3fff9be4892ef954ae299e0cb8c7.png