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
#include <iostream>
using namespace std;
 
int main(){
 
  int N;
  long long A, ans=1;
  
  cin >> N;
  
  for(int i=1; i<=N; i++){
  	cin >> A; 
    
    if(A==0){ ans=0;
             break;
    }
    
    if(A>1000000000000000000/ans)ans = -1;
    if(ans!=-1)ans*=A;
  
  }
  
  cout <<ans;
    
  return 0;
  
}