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.Arrays;
import java.util.Scanner;

public class Main {
	public static void main(String[] args) {
		Scanner scanner = new Scanner(System.in);
		scanner.nextLine();
		long[] As = Arrays.stream(scanner.nextLine().split(" ")).mapToLong(Long::parseLong).toArray();
		Arrays.sort(As);
		if(As[0] == 0) {
			System.out.println(0);
			return;
		}
		long result = 1L;
		long threshold = (long)Math.pow(10, 18);
		for(int i = As.length - 1; i >= 0; i--) {
			if(threshold / As[i] < result ) {
				System.out.println(-1);
				return;
			}
			result *= As[i];
		}
		System.out.println(result);
	}
}
