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 Kotlin (1.0.0) (judge verdict: Wrong Answer)

fun main(args: Array<String>) {
    val (satsu,kingaku) = readLine()!!.split(" ").map { it.toInt() }
    if (kingaku >= 1000*satsu && kingaku <=10000*satsu){
        var nokori = kingaku
        var senSatsu = 0
        var gosenSatsu = 0
        var manSatsu = 0
        while(nokori != 0){
            when {
                nokori >= 10000 -> {
                    nokori -= 10000
                    manSatsu++
                }
                nokori >= 5000 -> {
                    nokori -= 5000
                    gosenSatsu++
                }
                else -> {
                    nokori -= 1000
                    senSatsu++
                }
            }
        }
        var originSen = 0
        var originGo = 0
        var originMan = 0
        loop@for (i in 0 until 100){
            if(senSatsu + gosenSatsu + manSatsu < satsu) {
                while (senSatsu + gosenSatsu + manSatsu < satsu) {
                    when {
                        manSatsu >= 1 -> {
                            manSatsu--
                            gosenSatsu++
                            senSatsu += 5
                        }
                        gosenSatsu >= 1 -> {
                            gosenSatsu--
                            senSatsu += 5
                        }
                        manSatsu >= 1 -> {
                            manSatsu--
                            gosenSatsu += 2
                        }
                    }
                }
            }
            if(senSatsu + gosenSatsu + manSatsu > satsu) {
                while (senSatsu + gosenSatsu + manSatsu > satsu) {
                    if (gosenSatsu >= 2) {
                        gosenSatsu -= 2
                        manSatsu++
                    }  else if (senSatsu >= 5 && gosenSatsu >= 1) {
                        senSatsu -= 5
                        gosenSatsu--
                        manSatsu++
                    }else if (senSatsu >= 5) {
                        senSatsu -= 5
                        gosenSatsu ++
                    }
                }
            }
            
            if (originSen == senSatsu && originGo == gosenSatsu && originMan == manSatsu){
                break@loop
            }else{
                originSen = senSatsu
                originGo = gosenSatsu
                originMan = manSatsu
            }
        }

        if (senSatsu + gosenSatsu + manSatsu != satsu) {
            senSatsu = -1
            gosenSatsu = -1
            manSatsu = -1
        }
        println("$manSatsu $gosenSatsu $senSatsu")
    }else {
        println("-1 -1 -1")
    }
}