Problem:
Score : 200 points

Problem Statement

Given N integers A_1, ..., A_N, compute A_1 \times ... \times A_N.

However, if the result exceeds 10^{18}, print -1 instead.

Constraints

2 \leq N \leq 10^5

0 \leq A_i \leq 10^{18}

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N
A_1 ... A_N

Output

Print the value A_1 \times ... \times A_N as an integer, or -1 if the value exceeds 10^{18}.

Sample Input 1

2
1000000000 1000000000

Sample Output 1

1000000000000000000

We have 1000000000 \times 1000000000 = 1000000000000000000.

Sample Input 2

3
101 9901 999999000001

Sample Output 2

-1

We have 101 \times 9901 \times 999999000001 = 1000000000000000001, which exceeds 10^{18}, so we should print -1 instead.

Sample Input 3

31
4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9 5 0

Sample Output 3

0

Solution in Perl (5.26.1) (judge verdict: Time Limit Exceeded)

# Your code here!
use strict;
use warnings;
use bignum;

my $N = <STDIN>;
my @a = split(/ /, <STDIN>);
chomp($a[$N-1]);
print(calc());


sub calc
{
    for( my $i=0; $i < $N; $i ++ )
    {
        
        if( $a[$i] == 0 )
        {
            return 0;
        }
    }
    
    my $val = 1;
    for( my $i=0; $i < $N; $i ++ )
    {
        
        if( 1e18 / $a[$i] < $val )
        {
            return -1;
        }
        
        $val *= $a[$i];
    }
    
    if( 1e18 < $val )
    {
        return -1;
    }
    
    return $val;
}