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