#include <bits/stdc++.h>
using namespace std;
int main() {
  int t;
  cin >> t;
  while (t--) {
    long long n;
    cin >> n;
    long long a[n];
    long long ans = 1;
    for (size_t i = 0; i < n; i++) {
      cin >> a[i];
    }
    ans += a[0];
    for (int i = 1; i < n; i++) {
      if (a[i] == 0 && a[i - 1] == 0) {
        ans = -1;
        break;
      } else if (a[i] == 1 && a[i - 1] == 0)
        ans += 1;
      else if (a[i] == 1 && a[i - 1] == 1)
        ans += 5;
    }
    cout << ans << endl;
  }
  return 0;
}

### Prompt

In CPP, your task is to solve the following problem:

Petya has got an interesting flower. Petya is a busy person, so he sometimes forgets to water it. You are given n days from Petya's live and you have to determine what happened with his flower in the end.

The flower grows as follows: 

  * If the flower isn't watered for two days in a row, it dies. 
  * If the flower is watered in the i-th day, it grows by 1 centimeter. 
  * If the flower is watered in the i-th and in the (i-1)-th day (i > 1), then it grows by 5 centimeters instead of 1. 
  * If the flower is not watered in the i-th day, it does not grow. 



At the beginning of the 1-st day the flower is 1 centimeter tall. What is its height after n days?

Input

Each test contains multiple test cases. The first line contains the number of test cases t (1 ≤ t ≤ 100). Description of the test cases follows.

The first line of each test case contains the only integer n (1 ≤ n ≤ 100).

The second line of each test case contains n integers a_1, a_2, ..., a_n (a_i = 0 or a_i = 1). If a_i = 1, the flower is watered in the i-th day, otherwise it is not watered.

Output

For each test case print a single integer k — the flower's height after n days, or -1, if the flower dies.

Example

Input


4
3
1 0 1
3
0 1 1
4
1 0 0 1
1
0


Output


3
7
-1
1

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;
int main() {
  int t;
  cin >> t;
  while (t--) {
    long long n;
    cin >> n;
    long long a[n];
    long long ans = 1;
    for (size_t i = 0; i < n; i++) {
      cin >> a[i];
    }
    ans += a[0];
    for (int i = 1; i < n; i++) {
      if (a[i] == 0 && a[i - 1] == 0) {
        ans = -1;
        break;
      } else if (a[i] == 1 && a[i - 1] == 0)
        ans += 1;
      else if (a[i] == 1 && a[i - 1] == 1)
        ans += 5;
    }
    cout << ans << endl;
  }
  return 0;
}

```