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 PHP (5.6.30) (judge verdict: Time Limit Exceeded)

<?php

$s = new Scanner();

$n=$s->nextInt();
$y=$s->nextInt();

for ($i=0; $i <=$n ; $i++) {
    # code...
    for ($j=0; $j <= $n-$i; $j++) {
        # code...
        for ($k=0; $k <=$n-$i-$j ; $k++) {
            # code...
            if ($i+$j+$k==$n) {
                if ($i*1000+$j*5000+$k*10000==$y) {
                    out::println($k.' '.$j.' '.$i);
                    return;
                }
            }
        }
    }
}
out::println('-1 -1 -1');






#文字列・数値の標準入力クラス
class Scanner
{
    private $arr = [];
    private $count = 0;
    private $pointer = 0;
    public function next()
    {
        if ($this->pointer >= $this->count) {
            $str = trim(fgets(STDIN));
            $this->arr = explode(' ', $str);
            $this->count = count($this->arr);
            $this->pointer = 0;
        }
        $result = $this->arr[$this->pointer];
        $this->pointer++;
        return $result;
    }
    public function hasNext()
    {
        return $this->pointer < $this->count;
    }
    public function nextInt()
    {
        return (int)$this->next();
    }
    public function nextDouble()
    {
        return (double)$this->next();
    }
}

#改行ありの標準出力クラス
class out
{
    public static function println($str = "")
    {
        echo $str . PHP_EOL;
    }
}