MathDB
ARO 2011 9-8

Source:

May 6, 2011
algebrapolynomialmodular arithmeticsymmetryrectanglecombinatorics proposed

Problem Statement

There are some counters in some cells of 100×100100\times 100 board. Call a cell nice if there are an even number of counters in adjacent cells. Can exactly one cell be nice?
K. Knop