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>
#include <vector>

using namespace std;


int main() {

	int N;
	int64_t a;
	int64_t ans;
	double test;

	cin >> N;

	cin >> ans;
	test = ans;

	for (int i = 0; i < N -1; i++)
	{
		cin >> a;
		ans *= a;
		test *= a;
	}

	if (ans > 1000000000000000000 || test > 1000000000000000000) {
		cout << "-1";
	}
	else
	{
		cout << ans;
	}

	return 0;

}