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 PHP (7.4.4) (judge verdict: Wrong Answer)

<?php

$N = trim(fgets(STDIN));
$N_array = trim(fgets(STDIN));
  
$pieces = explode(" ", $N_array);

$result = $pieces[0];

foreach($pieces as $k => $p) {
  if ($p == 0) {
   	echo 0;
    exit;
  }
}

foreach($pieces as $k => $p) {
  if($k == 0) {
    $result = $p;
  } else {
    if ((strlen($result)+ strlen($p)) > 20) {
     	echo "-1";
        exit;
    }
    $result = $result * $p;
  }
}

if ($result > 1000000000000000000) {
  echo "-1";
}

echo $result;