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"
	"fmt"
	"os"
	"strconv"
	"strings"
)

var stdin = bufio.NewScanner(os.Stdin)

func main() {
	arr := scanArrayInt()
	n, y := arr[0], arr[1]
	ret := []int{-1, -1, -1}
	for y10000 := 0; y10000 <= n; y10000++ {
		for y5000 := 0; y5000 <= n; y5000++ {
			y1000 := n - y10000 + y5000
			t := y10000*10000 + y5000*5000 + y1000*1000
			if t == y {
				ret = []int{y10000, y5000, y1000}
			}
		}
	}
	fmt.Println(ret[0], ret[1], ret[2])
}
func scanArrayInt() []int {
	var ret = []int{}
	stdin.Scan()
	for _, s := range strings.Split(stdin.Text(), " ") {
		i, _ := strconv.Atoi(s)
		ret = append(ret, i)
	}
	return ret
}