#!/usr/bin/perl
use strict;
use warnings;

my $target = defined $ARGV[0] ? $ARGV[0] : 987654321;
print join ', ' , get_three( $target );

sub get_three {
    my $num = shift;
    my $prev = p_tri( $num );

    return ($num, 0, 0) if ! $prev;

    while ( $prev ) {
        my $p_tri = ($prev * $prev + $prev) / 2;
        my $i = 0;
        my $j = $num - $p_tri;

        while ( $j >= $i ) {
            return $p_tri, $i, $j if ! p_tri( $i ) && ! p_tri( $j );
            ++$i;
            --$j;
        }
        --$prev;
    }
    die "Something went horribly wrong : $num\n";
}

sub p_tri {

    my $num = shift;
    my $x = ( sqrt( 8 * $num + 1 ) + 1 )/ 2;
    my $t = int $x;
    return $t == $x ? 0 : --$t;
}