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 void main(Scanner sc) {
		int n = sc.nextInt();
		long ans = 1;

		for (int i = 0; i < n; i++) {
			long a = sc.nextLong();

			if (ans != -1) {
				if (((int) Math.ceil(Math.log10(ans) + Math.log10(a))) > 18) {
					ans = -1;
				} else {
					ans *= a;
				}
			} else {
				if (a == 0) {
					ans = 0;
				}
			}
		}

		System.out.println(ans > 1000000000000000000L ? -1 : ans);
	}

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		new Main().main(sc);
	}
}
