Problem: The commonly used bills in Japan are 10000-yen, 5000-yen and 1000-yen bills. Below, the word "bill" refers to only these.

According to Aohashi, he received an otoshidama (New Year money gift) envelope from his grandfather that contained N bills for a total of Y yen, but he may be lying. Determine whether such a situation is possible, and if it is, find a possible set of bills contained in the envelope. Assume that his grandfather is rich enough, and the envelope was large enough.

Constraints

* 1 ≤ N ≤ 2000
* 1000 ≤ Y ≤ 2 × 10^7
* N is an integer.
* Y is a multiple of 1000.

Input

Input is given from Standard Input in the following format:


N Y


Output

If the total value of N bills cannot be Y yen, print `-1 -1 -1`.

If the total value of N bills can be Y yen, let one such set of bills be "x 10000-yen bills, y 5000-yen bills and z 1000-yen bills", and print x, y, z with spaces in between. If there are multiple possibilities, any of them may be printed.

Examples

Input

9 45000


Output

4 0 5


Input

20 196000


Output

-1 -1 -1


Input

1000 1234000


Output

14 27 959


Input

2000 20000000


Output

2000 0 0

Solution (in JAVA):

Solution:
import java.util.Scanner;
public class Main {
      
	public static void main(String[] args) {
	 Scanner sc = new Scanner (System.in);
	 int n = sc.nextInt();  int y = sc.nextInt();
	 sc.close();
	        for(int j =0; j<=y/5000;j++) {
	        	for(int i =0; i<=y/10000; i++)  {
   		       
   			 int a = i;   int b = j;    int c= n-i-j;       
    	if(10000*a+5000*b+1000*c==y&&a>=0&&b>=0&&c>=0) {
    			System.out.println(a+" "+b+" "+c);
    			System.exit(0);}
    		}
      }
     System.out.println("-1 -1 -1");
        
	 }
}