human
PYTHON3 solution for "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":



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Can you provide a Python code to determine what happened with his flower in the end?
assistant
#Here is Python code to determine what happened with his flower in the end.
 def solve(n,arr):
  if n==1:
    if arr[0]==1:
      return 2
    return 1
  g=1
  prev=arr[0]
  if prev==1:
    g+=1
  
  
  for i in range(1,n):
    if arr[i]==1:
      if prev==1:
        g+=5
      else:
        g+=1
    elif prev==0:
        return -1
    prev=arr[i]
  return g

t=int(input())
for i in range(t):
  n=int(input())
  arr=list(map(int,input().split()))
  print(solve(n,arr))