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: Wrong Answer)

<?php
#include <stdio.h>
//1≤N≤2000
//1000≤Y≤2×10^7
//N は整数である。お札の枚数：N枚
//Y は1000の倍数である。合計金額：Y円
# 整数の入力
$chars = trim(fgets(STDIN));
$array = explode(" ", $chars);
$n = $array[0];
$y = $array[1];

$maxYukichiNumber = floor($y / 10000);
$isPossible = false;

for($i=0;$i<$maxYukichiNumber;$i++){
  $maxHiguchiNumber = floor(($y - $i * 10000) / 5000);
  for($j=0;$j<$maxHiguchiNumber;$j++){
    $k = $n - $i - $j;    
    $sum = $i * 10000 + $j * 5000 + $k * 1000;
    if($sum == $y){
      $numbers = ["yukichi" => $i, "higuchi" => $j, "soseki" => $k];
      $isPossible = true;
      break;
    }
  }
}

if(!$isPossible){
  $numbers = ["yukichi" => -1, "higuchi" => -1, "soseki" => -1];
}

$result = $numbers["yukichi"]." ".$numbers["higuchi"]." ".$numbers["soseki"];

echo $result."\n";