IOM 2016, Блиц — Задача 36

Olympiad of Metropolises, Moscow. Blitz Contest, September, 5 · 5 септември 2016 г.

Условие

Two players play a game. At the start of the game, there are 6 marbles in the box.

Each player, in his turn, adds 1 or 2 marbles to the box or doubles the number of marbles (he decides by himself what exactly to do). The player who has 16 marbles or more looses and other player wins.

If the first player can win under the initial terms and second player playing optimally, write result of the first turn. If he can't win, write number 0.

Решение

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Оригинал в Архива: blitz.pdf