#include <bits/stdc++.h>
using namespace std;
inline int read() {
  int x = 0, f = 1;
  char ch = getchar();
  while (ch < '0' || ch > '9') {
    f = ch == '-' ? -1 : f;
    ch = getchar();
  }
  while (ch >= '0' && ch <= '9') {
    x = (x << 1) + (x << 3) + (ch ^ 48);
    ch = getchar();
  }
  return x * f;
}
void write(int x) {
  if (x < 0) {
    x = -x;
    putchar('-');
  }
  if (x > 9) write(x / 10);
  putchar(x % 10 + 48);
}
int n, t;
int a[105];
int main() {
  t = read();
  while (t-- > 0) {
    n = read();
    int res = 1;
    for (int i = 1; i <= n; ++i) a[i] = read();
    for (int i = 1; i <= n; ++i) {
      if (a[i] == 1 && a[i - 1] == 1)
        res += 5;
      else if (a[i] == 1)
        res++;
      else if (a[i] == 0 && a[i - 1] == 0 && i != 1) {
        res = -1;
        break;
      }
      if (res <= 0) {
        res = -1;
        break;
      }
    }
    write(res), putchar('\n');
  }
  return 0;
}

### Prompt

Generate a Cpp solution to 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;
inline int read() {
  int x = 0, f = 1;
  char ch = getchar();
  while (ch < '0' || ch > '9') {
    f = ch == '-' ? -1 : f;
    ch = getchar();
  }
  while (ch >= '0' && ch <= '9') {
    x = (x << 1) + (x << 3) + (ch ^ 48);
    ch = getchar();
  }
  return x * f;
}
void write(int x) {
  if (x < 0) {
    x = -x;
    putchar('-');
  }
  if (x > 9) write(x / 10);
  putchar(x % 10 + 48);
}
int n, t;
int a[105];
int main() {
  t = read();
  while (t-- > 0) {
    n = read();
    int res = 1;
    for (int i = 1; i <= n; ++i) a[i] = read();
    for (int i = 1; i <= n; ++i) {
      if (a[i] == 1 && a[i - 1] == 1)
        res += 5;
      else if (a[i] == 1)
        res++;
      else if (a[i] == 0 && a[i - 1] == 0 && i != 1) {
        res = -1;
        break;
      }
      if (res <= 0) {
        res = -1;
        break;
      }
    }
    write(res), putchar('\n');
  }
  return 0;
}

```