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 ans = 1;
		long max = 1000000000000000000l;
		// System.out.println(max);
		List<Long> arr = new ArrayList<>();
		for (int i = 0; i < n; i++) {
			arr.add(sc.nextLong());
		}
		Collections.sort(arr);
		for (int i = 0; i < n; i++) {
			long a = arr.get(i);
			if (a == 0) {
				ans = 0;
				break;
			}
			if (a > max) {
				ans = -1;
				break;
			}
			if (ans > max / a) {
				ans = -1;
				break;
			}
			ans *= arr.get(i);
		}
		System.out.println(ans);
	}
}






