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.*;

public class Main{
	public static void main(String args[]) {

		Scanner sc = new Scanner(System.in);
		
		int N = sc.nextInt();
		long[] A = new long[N];
		long result = 1;
		
		for(int i = 0; i < N; i++) {
			A[i] = sc.nextLong();
			if(A[i] == 0)result = 0;
		}
		
		for(int i = 0; i < N; i++) {
			long temp = 1;
			temp = result * A[i];
			if(temp > (long)1e18 || result > temp) {
				result = -1;
				break;
			}
			result = temp;
		}
		
		System.out.println(result);
		
		sc.close();
	}
}