1300. Nim Game

You are playing the following Nim Game with your friend: There is a heap of stones on the table, each time one of you take turns to remove 1 to 3 stones. The one who removes the last stone will be the winner. You will take the first turn to remove the stones.

Both of you are very clever and have optimal strategies for the game. Write a function to determine whether you can win the game given the number of stones in the heap.

For example, if there are 4 stones in the heap, then you will never win the game: no matter 1, 2, or 3 stones you remove, the last stone will always be removed by your friend.

您在真实的面试中是否遇到过这个题?  

样例

Input:
n=4
Output:
false

其实是一道数学题,列举一些就不难发现规律,4的倍数就不会赢。

class Solution {
public:
    /**
     * @param n: an integer
     * @return: whether you can win the game given the number of stones in the heap
     */
    bool canWinNim(int n) {
        // Write your code here
        if(n%4!=0) return true;
        else return false;
    }
};

猜你喜欢

转载自blog.csdn.net/vestlee/article/details/80722550