ABC085C - Otoshidama /

Time Limit: 2 sec / Memory Limit: 256 MB

### 制約

• 1 ≤ N ≤ 2000
• 1000 ≤ Y ≤ 2 × 10^7
• N は整数である。
• Y1000 の倍数である。

### 入力

N Y


### 出力

N 枚のお札の合計金額が Y 円となることがありえない場合は、-1 -1 -1 と出力せよ。

N 枚のお札の合計金額が Y 円となることがありうる場合は、そのような N 枚のお札の組み合わせの一例を「10000 円札 x 枚、5000 円札 y 枚、1000 円札 z 枚」として、xyz を空白で区切って出力せよ。複数の可能性が考えられるときは、そのうちどれを出力してもよい。

### 入力例 1

9 45000


### 出力例 1

4 0 5


お年玉袋に 10000 円札 4 枚と 1000 円札 5 枚が入っていれば、合計枚数が 9 枚、合計金額が 45000 円になります。5000 円札 9 枚という可能性も考えられるため、0 9 0 も正しい出力です。

### 入力例 2

20 196000


### 出力例 2

-1 -1 -1


### 入力例 3

1000 1234000


### 出力例 3

14 27 959


この他にも多くの候補があります。

### 入力例 4

2000 20000000


### 出力例 4

2000 0 0


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