Welcome to Subscribe On Youtube
Question
Formatted question description: https://leetcode.ca/all/292.html
You are playing the following Nim Game with your friend:
- Initially, there is a heap of stones on the table.
- You and your friend will alternate taking turns, and you go first.
- On each turn, the person whose turn it is will remove 1 to 3 stones from the heap.
- The one who removes the last stone is the winner.
Given n
, the number of stones in the heap, return true
if you can win the game assuming both you and your friend play optimally, otherwise return false
.
Example 1:
Input: n = 4 Output: false Explanation: These are the possible outcomes: 1. You remove 1 stone. Your friend removes 3 stones, including the last stone. Your friend wins. 2. You remove 2 stones. Your friend removes 2 stones, including the last stone. Your friend wins. 3. You remove 3 stones. Your friend removes the last stone. Your friend wins. In all outcomes, your friend wins.
Example 2:
Input: n = 1 Output: true
Example 3:
Input: n = 2 Output: true
Constraints:
1 <= n <= 231 - 1
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
-
public class Nim_Game { class Solution { public boolean canWinNim(int n) { return (n % 4 != 0); } } } ############ class Solution { public boolean canWinNim(int n) { return n % 4 != 0; } }
-
class Solution: def canWinNim(self, n: int) -> bool: return n % 4 != 0 ############ class Solution(object): def canWinNim(self, n): """ :type n: int :rtype: bool """ return not n % 4 == 0
-
class Solution { public: bool canWinNim(int n) { return n % 4 != 0; } };
-
func canWinNim(n int) bool { return n%4 != 0 }
-
function canWinNim(n: number): boolean { return n % 4 != 0; }
-
impl Solution { pub fn can_win_nim(n: i32) -> bool { n % 4 != 0 } }