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 = Integer.parseInt(sc.next());
    Long sum = 1L;
    Long max = 0L;
    Long b = 1000000000000000000L;
    Long [] a = new Long[N];
    for(int i = 0; i<N ;i++){
      a[i] = sc.nextLong();
      if(a[i]==0){
        System.out.println(0);
        return;
      }
    }
    for(int i = 0; i<N ;i++){
      sum = sum * a[i];
      if(sum>=max && sum<=b){
        max = sum;
      }else{
        System.out.println(-1);
        return;
      }
    }  
    System.out.println(sum);
  }
}


