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 scan = new Scanner(System.in);
		int count = scan.nextInt();
		long sum = 1;
		long max = (long) Math.pow(10, 18);

		if (count >= 2) {
			for (int i = 0 ; i < count ; i++) {
				long value = scan.nextLong();
				if (value == 0) {
					sum = 0;
					break;
				}
				if (sum != -1 && sum <= max / value) {
					sum *= value;
				}
				else sum = -1;
			}
		}
			scan.close();
			System.out.println(sum);
	}
}