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.ArrayList;
import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int N = Integer.parseInt(sc.next());
		ArrayList<Long> list = new ArrayList<>();
		for(int i = 0; i < N; i++) {
			list.add(Long.parseLong(sc.next()));
		}
		sc.close();

		long ans = 1L;
		long check = 1000000000000000000L;
		for(int i = 0; i < list.size(); i++) {
			ans *= list.get(i);
			if(ans > Long.MAX_VALUE) {
				System.out.println(-1);
			}
		}
		if(list.contains(0L)) {
			System.out.println(0);
		}else {
			if(ans > check) {
				System.out.println(-1);
			}else if(ans <= 0) {
				System.out.println(-1);
			}else {
				System.out.println(ans);
			}
		}
	}

}