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 Perl (v5.18.2) (judge verdict: Wrong Answer)

#!/usr/bin/perl
#abc85_c.pl
#Sun Jan  7 20:56:35 2018
#

use warnings;
use strict;

my $n = <STDIN>;
chomp $n;

my @param = split(" ",$n);

my $bill = $param[0];
my $amount = $param[1]/1000;

my $x = $bill;
my $y = 0;
my $z = 0;

my $tamount;

my $flag = 0;

if ($amount > $bill*10){
	print "-1 -1 -1\n";
	$flag = 1;
}else{
while ($x >= 0){
	if ($flag == 1){
		last;
	}
	$tamount = 10*$x + 5*$y + 1*$z;

#	print $x," ",$y," ",$z," ",$tamount,"testtest\n";

	if ($tamount == $amount){
		print $x," ",$y," ",$z,"\n";
		$flag = 1;
		last;
	}
	$y = $bill-$x;
	while ($y >= 0){
		$z = $bill-$x-$y;
		$tamount = 10*$x + 5*$y + 1*$z;

#		print $x," ",$y," ",$z," ",$tamount,"testtest\n";

		if ($tamount == $amount){
			print $x," ",$y," ",$z,"\n";
			$flag = 1;
			last;
		}
		$y--
	}
	$y = 0;
	$z = 0;
	$x--;
}
}

if ($flag==0){
	print "-1 -1 -1\n"
}