Centroamerican 2018, Problem 1
Source: 2018 Centroamerican and Caribbean Math Olympiad
June 25, 2018
Centroamericancombinatoricsgame strategy
Problem Statement
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