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.

Example:

Input: 4
Output: false
Explanation: 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.

Solution in python:

class Solution:
    def canWinNim(self, n: int) -> bool:
        if n % 4:
            return True
        return False
最后修改日期: 2020年9月18日

留言

撰写回覆或留言

发布留言必须填写的电子邮件地址不会公开。