MathDB
St.Peterburg, P3 Grade 10, 2013

Source:

April 27, 2014
combinatorics proposedcombinatorics

Problem Statement

On a circle there are some black and white points (there are at least 1212 points). Each point has 1010 neighbors (55 left and 55 right neighboring points), 55 being black and 55 white. Prove that the number of points on the circle is divisible by 44.