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[] a=new long[n];
        long mul=1;
        boolean con=true;
        for(int i=0;i<n;i++){
            a[i]=sc.nextLong();
        }
        long num=1000000000000000000l;
        for(int i=0;i<n;i++){
            long ini=mul;
            mul*=a[i];
            if(mul<ini || mul>num){
                con=false;
            }
            if(a[i]==0){
                mul=0;
                con=true;
            }
        }
        if(con) System.out.println(mul);
        else System.out.println("-1");
    }
}