cyclic shifts
Source: All-Russian olympiad 1995, Grade 11, Second Day, Problem 6
October 21, 2013
combinatorics proposedcombinatorics
Problem Statement
A boy goes times at a merry-go-round with seats. After every time he moves in the clockwise direction and takes another seat, not making a full circle. The number of seats he passes by at each move is called the length of the move. For which can he sit at every seat, if the lengths of all the moves he makes have different lengths?
V. New