Little C loves number «3» very much. He loves all things about it.

Now he has a positive integer n. He wants to split n into 3 positive integers a,b,c, such that a+b+c=n and none of the 3 integers is a multiple of 3. Help him to find a solution.

Input

A single line containing one integer n (3 ≤ n ≤ 10^9) — the integer Little C has.

Output

Print 3 positive integers a,b,c in a single line, such that a+b+c=n and none of them is a multiple of 3.

It can be proved that there is at least one solution. If there are multiple solutions, print any of them.

Examples

Input

3


Output

1 1 1

Input

233

Output

77 77 79
import java.io.IOException;
import java.util.Scanner;

public class Test2 {


    public static void main(String[]args) throws IOException {
        Scanner scanner = new Scanner(System.in);
        int n = scanner.nextInt();
        int m = n/3;
        int remain = n-3*m;
        if (m%3==0){
            if (remain == 1){
                System.out.println((m+2)+" "+(m+1)+" "+(m-2));
            }else if(remain ==2){
                System.out.println((m+1)+" "+(m+2)+" "+(m-1));
            }else{
                if (m<3){
                    System.out.println(m+" "+m+" "+m);
                }else{
                    System.out.println((m-1)+" "+(m+2)+" "+(m-1));
                }

            }
        }else if (m%3==1){
//            if (m<3){
//                System.out.println((m)+" "+(m)+" "+(m+remain));
//                return;
//            }
            if (remain == 1){
                System.out.println(m+" "+(m+1)+" "+m);
            }else if(remain ==2){
                System.out.println((m)+" "+(m+1)+" "+(m+1));
            }else{
                System.out.println(m+" "+m+" "+m);
            }
        }else if (m%3==2){
            if (remain == 1){
                System.out.println(m+" "+(m+2)+" "+(m-1));

            }else if(remain ==2){
                System.out.println(m+" "+(m+2)+" "+m);
            }else{
                System.out.println(m+" "+m+" "+m);
            }
        }

    }

    public void bin(){


    }

}
