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.util.Scanner;

public class Main {
  public static void main(String[] args) {
    Scanner sc = new Scanner(System.in);

    int N = sc.nextInt();
    long max = 1000000000000000000L;
    long ans = 1;
    boolean of = false;
    for(int i=0; i<N; i++) {
      long A = sc.nextLong();
      if(A==0) {
        ans = 0;
        of = false;
        break;
      }
        long Amax = max/ans;
        if(A>Amax) {
          of = true;
        } else {
          ans *= A;
        }
      }
    System.out.println(of? -1 : ans);

    sc.close();
  }
}
