Problem #PRU-104089

Problems Combinatorics Geometry on grid paper Set theory and logic Algorithm Theory Game Theory Winning and loosing positions

Problem

There is a \(5\times 9\) rectangle drawn on squared paper. In the lower left corner of the rectangle is a button. Kevin and Sophie take turns moving the button any number of squares either to the right or up. Kevin goes first. The winner is the one who places the button in upper right corner. Who would win, Kevin or Sophie, by using the right strategy?