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 Go (1.6) (judge verdict: Wrong Answer)

package main

import (
	"bufio"
	"os"
	"strconv"
	"fmt"
)

var sc = bufio.NewScanner(os.Stdin)

func nextInt() int {
	sc.Scan()
	i, e := strconv.Atoi(sc.Text())
	if e != nil {
		panic(e)
	}
	return i
}

func main() {
	sc.Split(bufio.ScanWords)

	maiInt := nextInt()
	yenInt := nextInt()
	yenIntRaw := yenInt

	if yenInt%1000 != 0 {
		fmt.Println("-1 -1 -1")
		return
	}

	yenInt /= 1000

	yen10 := 0
	yen5 := 0
	yen1 := 0

	if yenInt > 10 {
		yen10 = (yenInt - yenInt%10) / 10
		yenInt -= yen10 * 10
	}

	if yenInt > 5 {
		yen5 = (yenInt - yenInt%5) / 5
		yenInt -= yen5 * 5
	}

	if yenInt >= 1 {
		yen1 = yenInt
	}

	is10 := false
	is10N := false
	is5 := false
reCheck:
	fmt.Printf("%d %d %d\n", yen10, yen5, yen1)
	if maiInt != yen1+yen5+yen10 {
		if is5 {
			if yen1 < 10 {
				fmt.Println("-1 -1 -1")
				return
			} else {
				yen1 -= 10
				yen10 += 1
			}
		} else if is10 || is10N || yen10 == 0 {
			yen5 -= 1
			yen1 += 5
			if !is10 {
				is10N = false
			}
			is10 = false
			if yen5 == 0 && (is10 && is10N || is5) {
				is5 = true
			}
		} else {
			yen10 -= 1
			yen5 += 2
			is10 = true
			is10N = true
		}

		if yen1 < 0 || yen5 < 0 || yen10 < 0 {
			fmt.Println("-1 -1 -1")
			return
		}
		goto reCheck
	}

	if yen10*10000+yen5*5000+yen1*1000 != yenIntRaw {
		fmt.Println("-1 -1 -1")
	} else {
		fmt.Printf("%d %d %d", yen10, yen5, yen1)
	}
}