Package g0201_0300.s0292_nim_game

Class Solution

java.lang.Object
g0201_0300.s0292_nim_game.Solution
public class Solution extends java.lang.Object
292 - Nim Game.

Easy

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

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    boolean
    canWinNim(int n)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • canWinNim

      public boolean canWinNim(int n)