olymmath

RMM 2018 Problem 3

  • Day 1

Ann and Bob play a game on an infinite checkered plane making moves in turn; Ann makes the first move. A move consists in orienting any unit grid-segment that has not been oriented before. If at some stage some oriented segments form an oriented cycle, Bob wins. Does Bob have a strategy that guarantees him to win?

Maxim Didin, Russia

Dataset text NuminaMath olympiads. Quoted with source.

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