Solve the programming task below in a Python markdown code block.
You are given a binary string S of length N. 

You have to perform the following operation exactly once:
Select an index i (1 ≤ i ≤ N) and delete S_{i} from S. The remaining parts of S are concatenated in the same order.

How many distinct binary strings of length N-1 can you get after applying this operation?

------ Input Format ------ 

- The first line of input contains a single integer T - the number of test cases. The description of T test cases follow.
- The first line of each test case contains N - the length of the binary string S.
- The second line contains the binary string S.

------ Output Format ------ 

For each test case, output the number of distinct binary strings that you can get after applying the operation exactly once.

------ Constraints ------ 

$1 ≤ T ≤ 10^{5}$
$2 ≤ N ≤ 10^{5}$
- Sum of $N$ does not exceed $2 \cdot 10^{5}$ over all testcases.

----- Sample Input 1 ------ 
3
3
100
4
1111
5
10110
----- Sample Output 1 ------ 
2
1
4

----- explanation 1 ------ 
Test Case 1: We have $S = 100$. Now, we can get $00$ (on deleting $S_{1}$), $10$ (on deleting $S_{2}$) and $10$ (on deleting $S_{3}$). Therefore, we can get $2$ distinct strings.

Test Case 2: We have $S = 1111$. Now, we will always get $111$ irrespective of the index $i$ on which we apply the operation. Therefore, we can get $1$ distinct string.