IMO Shortlist 1994 problem C5
Dodao/la: arhiva2. travnja 2012.
girls are seated at a round table. Initially one girl holds
tokens. Each turn a girl who is holding more than one token passes one token to each of her neighbours.
a.) Show that if
, the game must terminate.
b.) Show that if
it cannot terminate.
Izvor: Međunarodna matematička olimpijada, shortlist 1994