[leetcode: Python]291. Nim Game

题目：
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.

题意略。
分析：
如果n=[1,2,3],先手必赢；
如果n= 4，先手必输；
如果n=[5,6,7],先手必赢；
如果n = 8，先手必输。

方法一：性能38ms

class Solution(object):    def canWinNim(self, n):        """        :type n: int        :rtype: bool        """        if (n + 4) % 4 == 0:            return False        return True

方法二：性能32ms

class Solution(object):    def canWinNim(self, n):        """        :type n: int        :rtype: bool        """        return n % 4 != 0