Problem #WSP-000208

Problemas Matemáticas Discretas Teoría de Algoritmos Teoría de Juegos Posiciones ganadoras y perdedoras

Problem

Tommy and Claire are going to get some number of game tokens tomorrow. They are planning to play a game: each player can take \(1,4\) or \(5\) tokens from the total. The person who can’t take any more loses. Claire will start. They don’t know how many tokens they will get. They might get a number between \(1\) and \(2025\). In how many cases Claire will have a winning strategy?