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.*;
public class Main {
    public static void main(String [] args) {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        long [] L = new long[n];
        long sum = 1;
        for(int i=0;i<n;i++){
            L[i]= sc.nextLong();
            if(L[i]==0) sum = 0;
        }
        if(sum!=0) {
            long lim = (long)Math.pow(10,18);
            for(int i=0;i<n;i++){
                long lim2 = (long)Math.ceil(lim/sum);
                if(L[i]>lim2){
                    sum=-1;
                    break;
                }
                else sum*=L[i];
            }
        }
        if(sum!=-1)System.out.println(sum);
        else System.out.println("-1");
    }
}