Philippe and Emmanuel are faced with 2018 cards numbered from 1 to 2018. Taking turns, they each take one of the cards in front of them and add it to their hand, until there are no more cards in front of them. At that point, they each calculate the sum of the numbers in their hand. The one who has an even sum wins. Philippe starts. Who wins?
Philippe wins. He starts by taking a pair card, then takes a card of the same parity as the one Emmanuel just took each time. At some point, Emmanuel will be forced to take the last odd card. He will have taken 505 odd cards in total, and will lose.