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.Text;
using System.Collections.Generic;
using System.Linq;
using E = System.Linq.Enumerable;
 
class Program
 {
  
        static long[] a;
        static long N;
        static long K;
        
        static void Main(string[] args)
        {
          //入力を受け取る
          var NY = Console.ReadLine().Split(' ').Select(x => long.Parse(x)).ToArray();
          long N = NY[0];
          long Y = NY[1];
          long man = -1;
          long gosen = -1;
          long sen = -1;
          bool flag = false;
          
          for(long i = Y/10000; i >= 0 ; i--){
            var nokori = Y-i*10000;
            for(long j = nokori/5000; j >= 0 ; j--){
              var nokori2 = nokori-j*5000;
              sen = nokori2/1000;
              //Console.WriteLine(i+" "+j+" "+sen);
              if(i+j+sen == N){
                man = i;
                gosen = j;
                flag = true;
                break;
              }else{
                sen = -1;
              }
            }
            if(flag){
              break;
            }
          }
          
          Console.WriteLine(man+" "+gosen+" "+sen);
        }
 }