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.Scanner;
    
class Main {    
    public static void main(String[] args) { 
        Scanner in = new Scanner(System.in);
        int n = in.nextInt(),zero=0;
        long[] arr = new long[n];
        long ans = 1;
        for(int i=0;i<n;++i) {
            arr[i] = in.nextLong();
            if(arr[i]==0) zero=1;
        }
        if(zero==1) {
            System.out.println("0");
            return ;
        }
        
        for(int i=0;i<n;++i) {
            if(ans <= 1000000000000000000L/arr[i]) ans = ans*arr[i];
            else {
                System.out.println("-1");
                return;
            }
        }
        System.out.println(ans);
    }
}