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}.

Examples

Input

2
1000000000 1000000000


Output

1000000000000000000


Input

3
101 9901 999999000001


Output

-1


Input

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


Output

0
import java.math.BigInteger;
import java.util.*;
import java.util.stream.Collectors;

public class Main {
  public static void main(String[] args){
    Scanner sc = new Scanner(System.in);
    BigInteger limit = new BigInteger("10").pow(18);
    BigInteger error = new BigInteger("-1");
    int n = sc.nextInt();
    BigInteger result = BigInteger.ONE;
    for (int i = 0; i < n; i++) {
      BigInteger a = new BigInteger(sc.next());
      if (a.compareTo(BigInteger.ZERO) == 0) {
        System.out.println(0);
        return;
      }
      if (result != error) {
        result = result.multiply(a);
        if (result.compareTo(limit) > 0) {
          result = error;
        }        
      }
    }
    System.out.println(result);
  }
}
