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 scan = new java.util.Scanner(System.in);
        int n = scan.nextInt();
        long[] a = new long[n];
        for(int i = 0; i < n; i++){
            a[i] = scan.nextLong();
            if(a[i] == 0){
                System.out.println(0);
                return;
            }
        }
        long out = 1;
        for(int i = 0; i < n; i++){
            if(a[i] <= 1000000000000000000L / out) out *= a[i];
            else{
                System.out.println(-1);
                return;
            }
        }
        if(out > 1000000000000000000L) System.out.println(-1);
        else System.out.println(out);
        scan.close();
    }
}