Problem Statement
Taro and Hanako like potatoes very much. Today they decided to play Potato Game.
Initially there is a box containing n potatoes. Taro and Hanako alternate turns, and Taro goes first. In each turn, the player must eat some potatoes from the box. The number of eaten potatoes must be a power of four, i.e., 1, 4, 16, 64 and so on. The first player who cannot eat a valid number of potatoes loses. Return the name of the winner assuming that they both play optimally.
Initially there is a box containing n potatoes. Taro and Hanako alternate turns, and Taro goes first. In each turn, the player must eat some potatoes from the box. The number of eaten potatoes must be a power of four, i.e., 1, 4, 16, 64 and so on. The first player who cannot eat a valid number of potatoes loses. Return the name of the winner assuming that they both play optimally.
Definition
- Class:
- PotatoGame
- Method:
- theWinner
- Parameters:
- int
- Returns:
- String
- Method signature:
- String theWinner(int n)
- (be sure your method is public)
Constraints
- n will be between 1 and 1,000,000,000 (10^9), inclusive.
Examples
1
Returns: "Taro"
Taro will win if he eats 1 potato in the first turn.2
Returns: "Hanako"
Taro must eat exactly 1 potato in the first turn. In the second turn, Hanako will eat 1 potato and she will win.3
Returns: "Taro"
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