Question
Formatted question description: https://leetcode.ca/all/292.html
292 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.
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.
Algorithm
List 1 to 10 cases as follows:
1 Win
2 Win
3 Win
4 Lost
5 Win
6 Win
7 Win
8 Lost
9 Win
10 Win
From this we can find the law, as long as it is a multiple of 4, we will definitely lose, so take the remainder of 4 to decide.
Code
Java

public class Nim_Game { class Solution { public boolean canWinNim(int n) { return (n % 4 != 0); } } }

Todo

class Solution(object): def canWinNim(self, n): """ :type n: int :rtype: bool """ return not n % 4 == 0