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 JavaScript (node.js v5.12) (judge verdict: Accepted)

'use strict'
function otoshidama(stdin) {
  const inputs = stdin.split(' ')
  const n = inputs[0]
  const y = inputs[1]
  for (let i = 0;i <= n;i++) {
    const remain = y - 10000 * i
    if (remain === 0 && n === i) {
      return console.log(n, 0, 0)
    } else if (remain < 0) {
      break
    }
    for (let j = 0;j <= n - i;j++) {
      const sen = n - i - j
      const result = remain - 5000 * j - 1000 * sen
      if (result === 0) {
        return console.log(i, j, sen)
      } else if (result < 1000) {
        break
      }
    }
  }
  return console.log(-1, -1, -1)
}
otoshidama(require('fs').readFileSync(0, 'utf8'))