human
Write me a Python program to determine what happened with his flower in the end given the following:
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":
assistant
#Here is Python program to determine what happened with his flower in the end.
 def ii(): return int(input())
def si(): return input()
def mi(): return map(int,input().split())
def msi(): return map(str,input().split())
def li(): return list(mi())

t=ii()
for _ in range(t):
    n=ii()
    a=li()
    
    height=1
    one,zero=0,0
    flag=0
    
    for i in range(n):
        if a[i]==1:
            one+=1
            zero=0
            if one>1:
                height+=5
                
            else:
                height+=1
                
        else:
            zero+=1
            one=0
            
            if zero>1:
                print(-1)
                flag=1
                break
            
    if flag==0:
        print(height)