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 (1.3.71) (judge verdict: Wrong Answer)

import kotlin.math.ceil
import kotlin.system.exitProcess

fun main(args: Array<String>) {
    abc085C(args)

    //abc085B(args)
    //abc088B(args)
    //abc105B(args)
    //abc087B(args)
    //abc081B(args)
    //abc095(args)
    //abc086(args)
    //tutorial(args)
}

fun abc085C(args: Array<String>) {
    val (N, Y) = readLine()!!.split(" ").map(String::toInt)

    var loopUpperLimit1000Yen = ceil(Y.toDouble() / 1000).toInt()
    if (loopUpperLimit1000Yen > N) {
        loopUpperLimit1000Yen = N
    }
    var loopUpperLimit5000Yen = ceil(Y.toDouble() / 5000).toInt()
    if (loopUpperLimit5000Yen > N) {
        loopUpperLimit5000Yen = N
    }
    var loopUpperLimit10000Yen = ceil(Y.toDouble() / 10000).toInt()

    if (loopUpperLimit10000Yen > N) {
        loopUpperLimit10000Yen = N
    }

    for (i in 0 until loopUpperLimit1000Yen) {
        for (j in 0 until loopUpperLimit5000Yen) {
            for (k in 0 until loopUpperLimit10000Yen) {
                if (i + j + k > N) {
                    continue
                }

                if((i * 1000 + j * 5000 + k * 10000) == Y) {
                    println("$k $j $i")
                    exitProcess(0)
                }
            }
        }
    }
    println("-1 -1 -1")
}