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.List;
import java.util.Scanner;

public class Main {

	private static long max = (long) Math.pow(10.0, 18.0);

	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++) {
			long next = sc.nextLong();
			if (next == 0) {
				System.out.println(0);
				return;
			}
			a[i] = next;
		}
		sc.close();

		long result = 1L;
		for (int i = 0; i < n; i++) {
			try {
				result = Math.multiplyExact(result, a[i]);
			} catch (ArithmeticException e) {
				System.out.println(-1);
				return;
			}
			if (result > max) {
				System.out.println(-1);
				return;
			}
		}
		System.out.println(result);
	}
}
