You have two variables a and b. Consider the following sequence of actions performed with these variables:

  1. If a = 0 or b = 0, end the process. Otherwise, go to step 2;
  2. If a ≥ 2·b, then set the value of a to a - 2·b, and repeat step 1. Otherwise, go to step 3;
  3. If b ≥ 2·a, then set the value of b to b - 2·a, and repeat step 1. Otherwise, end the process.



Initially the values of a and b are positive integers, and so the process will be finite.

You have to determine the values of a and b after the process ends.

Input

The only line of the input contains two integers n and m (1 ≤ n, m ≤ 1018). n is the initial value of variable a, and m is the initial value of variable b.

Output

Print two integers — the values of a and b after the end of the process.

Examples

Input

12 5


Output

0 1


Input

31 12


Output

7 12

Note

Explanations to the samples:

  1. a = 12, b = 5 <image> a = 2, b = 5 <image> a = 2, b = 1 <image> a = 0, b = 1;
  2. a = 31, b = 12 <image> a = 7, b = 12.
//I AM THE CREED
/* package codechef; // don't place package name! */
import java.io.BufferedReader; 
import java.io.IOException; 
import java.io.InputStreamReader; 
import java.util.StringTokenizer; 
import java.util.*;
 
public class HelloWorld{
    public static void main(String[] args) throws IOException 
    { 
  
        Scanner input = new Scanner(System.in);
        while(input.hasNext()){
            long a=input.nextLong();
            long b=input.nextLong();
            while(true){
                if(a==0 || b==0){
                    System.out.println(a+" "+b);
                    break;
                }
                if(a>=(2*b)){
                    a=a%(2*b);
                    continue;
                }
                if(b>=(2*a)){
                    b=b%(2*a);
                    continue;
                }
                System.out.println(a+" "+b);
                break;
            }
         }
    }
 
}