Find the value of n - ILL 1990 MEX1
Source:
September 18, 2010
abstract algebracombinatorics unsolvedcombinatorics
Problem Statement
During the class interval, children sit in a circle and play the game described below. The teacher goes around the children clockwisely and hands out candies to them according to the following regulations: Select a child, give him a candy; and give the child next to the first child a candy too; then skip over one child and give next child a candy; then skip over two children; give the next child a candy; then skip over three children; give the next child a candy;...Find the value of for which the teacher can ensure that every child get at least one candy eventually (maybe after many circles).