Problem A. 402. (May 2006)
A. 402. Two players play the following game: Let n be a fixed integer greater than 1. Starting from number k=2, each player has two possible moves: either replace the number k by k+1 or by 2k. The player who is forced to write a number greater than n loses the game. Which player has a winning strategy for which n?
Vojtech Jarnik Competition,Ostrava, 2006
Deadline expired on June 15, 2006.
16 students sent a solution. 5 points: Erdélyi Márton, Estélyi István, Hujter Bálint, Jankó Zsuzsanna, Kisfaludi-Bak Sándor, Korándi Dániel, Kutas Péter, Nagy 224 Csaba, Paulin Roland, Rutai richárd, Tomon István, Ureczky Bálint. 4 points: Fischer Richárd, Gyenizse Gergő. 2 points: 1 student. 1 point: 1 student.