MathDB

1

Part of 2010 Switzerland - Final Round

Problems(1)

Coins on number line

Source: Swiss Math Olympiad 2010 - final round, problem 1

3/16/2010
Three coins lie on integer points on the number line. A move consists of choosing and moving two coins, the first one 1 1 unit to the right and the second one 1 1 unit to the left. Under which initial conditions is it possible to move all coins to one single point?
combinatorics proposedcombinatoricsinduction.