Nim Game

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:

Input:  4
Output: false

Approach

Java

public class NimGame {
    public static void main(String[] args) {
        int n = 4;
        System.out.println(canWinNim(n));
    }
    static boolean canWinNim(int n) {
        if (n % 4 == 0)
            return false;
        return true;
    }
}

C++

#include <bits/stdc++.h>
using namespace std;
bool canWinNim(int n) 
{
        if(n%4==0)
              return false;
        return true;
}
int main()
{
    int n=4;
    if(canWinNim(n))
      cout<<"true";
    else
      cout<<"false";
    return 0;
    
}