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.*;

public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int N = sc.nextInt();
        long[] a = new long[N];

        for (int i = 0; i < N; i++) {
            a[i] = sc.nextLong();
        }

        long limit = (long) 1e18;
        long res = 1;
        for (int i = 0; i < N; i++) {
            if (res > limit / a[i]) {
                res = -1;
                break;
            }
            res *= a[i];

        }

        for (int i = 0; i < N; i++) {
            if (a[i] == 0) res = 0;
        }

        System.out.println(res);
    }
}
