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)

import java.io.BufferedReader
import java.io.InputStreamReader
import java.util.*

fun main(args: Array<String>) {
    val br = BufferedReader(InputStreamReader(System.`in`))
    val (n, _y) = br.readLine().split(' ').map { it.toInt() }
    val y = _y / 1000
    //即死
    if (y < n || y > n * 10) {
        println("-1 -1 -1")
        return
    }
    val b = y - n
    //簡単
    if (y == n) {
        println("0 0 $n")
        return
    }
    if (y == 5 * n) {
        println("0 $n 0")
        return
    }
    if (y == 10 * n) {
        println("$n 0 0")
        return
    }
    if (b % 4 == 0) {
        val foo = b / 4
        if (foo < n) {
            println("0 $foo ${n - foo}")
            return
        }
    }
    if (b % 9 == 0) {
        val foo = b / 9
        if (foo < n) {
            println("$foo 0 ${n - foo}")
            return
        }
    }
    val out = arrayOf(n - 2, 1, 1)
    //総当り
    for (s in 0..out[0]) {
        for (t in 0..(out[0] - s)) {
            if (n + s * 4 + t * 9 == y) {
                println("$t $s ${n - s - t}")
                return
            }
        }
    }
    println("-1 -1 -1")
}

fun err(print: Any) {
    System.err.println(print)
}