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 C# (Mono 4.6.2.0) (judge verdict: Accepted)

                                                                                                                          
using System;
using System.Linq;
using System.Collections.Generic;

public class Test
{
	public static void Main()
	{
		string[] line = Console.ReadLine().Split(' ');
		int n = int.Parse(line[0]);
		int y = int.Parse(line[1]);
		int ans10000 = -1;
		int ans5000 = -1;
		int ans1000 = -1;

		for(int a = 0 ; a <= n ; a++){
			for(int b = 0 ; b+a <= n ; b++){
				int c = n - a - b;
				if(a*10000 + b*5000 + c*1000 == y){
					ans10000 = a;
					ans5000 = b;
					ans1000 = c;			
					break;
				}
			}
		}

		Console.WriteLine(ans10000+ " " + ans5000 + " "+ ans1000);
	}                                                                                                                                                                       
}