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.Scanner;

public class Main {

    public static void main(String[] args) {

        Scanner sc = new Scanner(System.in);

        int N = sc.nextInt();
        long l = 1;

        for (int i = 0; i < N; i++) {

            long inputLong = sc.nextLong();

            if (1000000000000000000L / l < inputLong) {
                l = -1;
                while (sc.hasNext()) {
                    if (sc.nextLong() == 0) {
                        l = 0;
                        break;
                    }
                }
                break;
            }

            l *= inputLong;

        }

        System.out.println(l);
        sc.close();

    }
}
