MathDB
SMO 2008 q5

Source: SMO 2008

March 30, 2018
combinatorics

Problem Statement

consider a 2008×20082008 \times 2008 chess board. let MM be the smallest no of rectangles that can be drawn on the chess board so that sides of every cell of the board is contained in the sides of one of the rectangles. find the value of MM. (eg for 2×32\times 3 chessboard, the value of MM is 3.)