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.*;
import java.math.*;
class Main {
    public static void main(String[] args){
        Scanner sc = new Scanner(System.in);
        int n = Integer.parseInt(sc.next());
        long ans = 1;
        long[] s = new long[n];
        for(int i =0;i<n;i++){
            s[i]=Long.parseLong(sc.next());
        }
        Arrays.sort(s);
        for(int i = 0;i<n;i++){
            if(s[i]==0){
                ans = 0;
                break;
            }
            if(Math.log10(s[i])+Math.log10(ans)>18||ans*s[i]>1000000000000000000L){
                ans = -1;
                break;
            }
            ans*=s[i];
        }
        System.out.println(ans);
    }
}