olymmath

ISL 1994 C5

19941994 girls are seated at a round table. Initially one girl holds nn tokens. Each turn a girl who is holding more than one token passes one token to each of her neighbours.

a.) Show that if n<1994n < 1994 , the game must terminate. b.) Show that if n=1994n = 1994 it cannot terminate.

Dataset text AI-MO AoPS. Quoted with source.

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