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 scan = new Scanner(System.in);
        int N= scan.nextInt();
       long A[]=new long[N+1];
       long s=1;
int K=1;
int OOO=1;
int KK=0;
       for(int i=0;i<N;i++){A[i]= scan.nextLong();
           if(A[i]==0){s=0;}
       }

        for(int i=0;i<N&&s>0&&KK<19;i++){
            s=s*A[i];
            String m=String.valueOf(s-1);
            K=m.length();
            String j=String.valueOf(A[i+1]);
            KK=K+j.length()-1;

        }

if (s<0||KK>=19){s=-1;}
System.out.println(s);

    }
}





