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.ArrayList;
import java.util.LinkedList;
import java.util.Scanner;

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

    Scanner sc = new Scanner(System.in);
    int n = sc.nextInt();

    long[] a = new long[n];
    for(int i=0; i<n; i++){
      a[i] = sc.nextLong();

      if(a[i] == 0){
        System.out.println(0);
        return;
      }
    }

    long result = a[0];
    long preResult = a[0];
    long upper = 1000000000000000000L;

    for(int i=1; i<n; i++){
      result = result * a[i];
      if(result < preResult || result > upper){
        System.out.println(-1);
        return;
      }
      preResult = result;
    }

    System.out.println(result);
  }
}