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 Scala (2.11.7) (judge verdict: Time Limit Exceeded)

object Main{
  def main(args: Array[String]){
    if (sys.env.getOrElse("TEST", "")=="1"){
      println(test());
    }else{
      val input=io.Source.stdin.getLines().mkString("\n");
      println(solve(input).trim());
    }
  }

  def solve(input:String):String={
    val List(n,y)=input.split(" ").map(_.toInt).toList;
    (0 to n).flatMap(i=>(0 to n-i).map(j=>(i,j,n-i-j))).find{case((a,b,c))=>a*10000+b*5000+c*1000==y} match{
      case Some((a,b,c))=> s"${a} ${b} ${c}"
      case None=>"-1 -1 -1"
    }
  }

  val tests=List("""9 45000""" -> """0 9 0""",
    """20 196000""" -> """-1 -1 -1""",
"""1000 1234000"""->"""14 27 959""",
"""2000 20000000"""->"""2000 0 0""");

  def test():String= {
    return tests.map{case (i,o)=>(i.trim(),o.trim())}.zipWithIndex.map{case ((input,outputExpect),i)=>{
      val output=solve(input).trim();
      s"test${i+1}:"+(if(output==outputExpect){
        "Passed"
      }else{
        s"Failed\nexpect:\n${outputExpect}\noutput:\n${output}"
      })
    }}.mkString("\n");
  }
}