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.*;
import java.io.*;
 
class Main{
  public static void main(String[]args){
    Scanner sc = new Scanner(System.in);
    int n = sc.nextInt();
    long result = 1;
    boolean flag = true;
    long num = 1000000000000000000l;
    long[] arr = new long[n];
    
    for(int i = 0; i < n; i++) {
        arr[i] = sc.nextLong();
        if (arr[i] == 0) {
            System.out.println(0);
            System.exit(0);
        }
    }
    Arrays.sort(arr);
    for(int i = 0; i < n; i++) {
      	if(flag) result = result*arr[i];
      	if(result > num || result < 1) flag = false;
    }
    
    if(flag) System.out.println(result);
    else System.out.println(-1);
  }
}