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.