Figures with at most 2014 squares
Source: Centroamerican Olympiad 2014, problem 4
June 12, 2014
combinatorics proposedcombinatorics
Problem Statement
Using squares of side 1, a stair-like figure is formed in stages following the pattern of the drawing.For example, the first stage uses 1 square, the second uses 5, etc. Determine the last stage for which the corresponding figure uses less than 2014 squares.http://www.artofproblemsolving.com/Forum/download/file.php?id=49934