Problem:
Score : 300 points

Problem Statement

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.

Sample Input 1

9 45000

Sample Output 1

4 0 5

If the envelope contained 4 10000-yen bills and 5 1000-yen bills, he had 9 bills and 45000 yen in total. It is also possible that the envelope contained 9 5000-yen bills, so the output 0 9 0 is also correct.

Sample Input 2

20 196000

Sample Output 2

-1 -1 -1

When the envelope contained 20 bills in total, the total value would be 200000 yen if all the bills were 10000-yen bills, and would be at most 195000 yen otherwise, so it would never be 196000 yen.

Sample Input 3

1000 1234000

Sample Output 3

14 27 959

There are also many other possibilities.

Sample Input 4

2000 20000000

Sample Output 4

2000 0 0

Solution in Fortran (gfortran v4.8.4) (judge verdict: Accepted)

      PROGRAM otoshidama
      IMPLICIT NONE
      INTEGER :: N,Y
      INTEGER :: a,b,c, s,ans(3)
      LOGICAL :: flag
      !a10000 b5000 c1000
      
      READ*,N ,Y
      
      flag = .FALSE.
      
      outer:DO a = 0,N
        DO b = 0,N-a
          c = N - a - b
          s = 10000*a + 5000*b + 1000*c
          IF(s==Y)THEN
            flag = .TRUE.
            ans(1)=a;ans(2)=b;ans(3)=c
          END IF
        END DO
      END DO outer
      
      IF(flag)THEN
        print'(I0,X,I0,X,I0)',ans(:)
      ELSE
        print'(A)','-1 -1 -1'
      END IF
      
      
      
      
      
      
      END PROGRAM