MathDB

3

Part of 1983 Czech and Slovak Olympiad III A

Problems(1)

Rectangle on a chessboard

Source: Czech and Slovak Olympiad 1983, National Round, Problem 3

4/10/2020
An 8×88\times 8 chessboard is made of unit squares. We put a rectangular piece of paper with sides of length 1 and 2. We say that the paper and a single square overlap if they share an inner point. Determine the maximum number of black squares that can overlap the paper.
combinatoricscombinatorial geometryChessboardnational olympiadrectangle