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OMCC 2018 Problem 1

  • Day 1

There are 2018 cards numbered from 1 to 2018. The numbers of the cards are visible at all times. Tito and Pepe play a game. Starting with Tito, they take turns picking cards until they're finished. Then each player sums the numbers on his cards and whoever has an even sum wins. Determine which player has a winning strategy and describe it.

P.S. Proposed by yours truly :-D

Dataset text AI-MO AoPS. Quoted with source.

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