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 MAX = (long)Math.pow(10,18);
        long ans = 1;
        
        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++){
            if(MAX/ans < a[i]){
                System.out.println(-1);
                return;
            }else{
                ans *= a[i];
                //System.out.println(ans);
            }
        }
        System.out.println(ans);
    }
}