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 currentA = 1;
        long[] vals = new long[N];
        for (int i = 0; i < N; i++) {
            vals[i] = sc.nextLong();
        }
        Arrays.sort(vals);
        if (vals[0] == 0) {
            System.out.println(0);
        } else {
            for (int i = 0; i < N; i++) {
                if (currentA > 1000000000000000000L / vals[i]) {
                    currentA = -1;
                    break;
                }
                currentA *= vals[i];
            }
            System.out.println(currentA);
        }

    }
}
