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.io.*;
import java.util.*;
public class Main{
	public static long INF = (long)1e18;
	public static void main(String[] args) throws IOException{
		BufferedReader reader = new BufferedReader(new InputStreamReader(System.in));
		int n = Integer.parseInt(reader.readLine());
		long[] list = Arrays.stream(reader.readLine().split(" ")).mapToLong(Long::parseLong).toArray();
		for(int i = 0;i<n;i++){
			if(list[i]==0L){
				System.out.println(0);
				return;
			}
		}
		long res = 1;
		for(int i = 0;i<n;i++){
			if(INF/res < list[i]){
				System.out.println(-1);
				return;
			}
			else res*=list[i];
		}
		System.out.println(res);
	}
}
