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 Python (3.4.3) (judge verdict: Wrong Answer)

N, Y = map(int, input().split())

def greedy(Y):
    res = Y
    yukichi = 0
    ichiyo = 0
    hideyo = 0
    while res >= 10000:
        res -= 10000
        yukichi += 1
        
    while res >= 5000:
        res -= 5000
        ichiyo += 1
        
    while res > 0:
        res -= 1000
        hideyo += 1
        
    return yukichi, ichiyo, hideyo
    

def confirm_N(N,yukichi,ichiyo,hideyo):
    bill = yukichi+ichiyo+hideyo
    if N<bill:
        return [-1,-1,-1]
    elif N == bill:
        return [yukichi, ichiyo, hideyo]
    
    while yukichi >= 0:
        if bill == N:
            return [yukichi, ichiyo, hideyo]
        
        while ichiyo > 0:
            bill += 4
            hideyo += 5
            ichiyo -= 1
            if bill == N:
                return [yukichi, ichiyo, hideyo]
        
        bill += 1
        yukichi -= 1
        ichiyo = 2
        
    return [-1,-1,-1]

#1.まず貪欲

yukichi, ichiyo, hideyo = greedy(Y)

bill = yukichi+ichiyo+hideyo

ans_lst = confirm_N(N, yukichi, ichiyo, hideyo)

print(*ans_lst)