B. Comparison String
time limit per test
2 seconds
memory limit per test
512 megabytes
input
standard input
output
standard output

You are given a string $s$ of length $n$, where each character is either < or >.

An array $a$ consisting of $n+1$ elements is compatible with the string $s$ if, for every $i$ from $1$ to $n$, the character $s_i$ represents the result of comparing $a_i$ and $a_{i+1}$, i. e.:

• $s_i$ is < if and only if $a_i < a_{i+1}$;
• $s_i$ is > if and only if $a_i > a_{i+1}$.

For example, the array $[1, 2, 5, 4, 2]$ is compatible with the string <<>>. There are other arrays with are compatible with that string, for example, $[13, 37, 42, 37, 13]$.

The cost of the array is the number of different elements in it. For example, the cost of $[1, 2, 5, 4, 2]$ is $4$; the cost of $[13, 37, 42, 37, 13]$ is $3$.

You have to calculate the minimum cost among all arrays which are compatible with the given string $s$.

Input

The first line contains one integer $t$ ($1 \le t \le 500$) — the number of test cases.

Each test case consists of two lines:

• the first line contains one integer $n$ ($1 \le n \le 100$);
• the second line contains the string $s$, consisting of $n$ characters. Each character of $s$ is either < or >.
Output

For each test case, print one integer — the minimum cost among all arrays which are compatible with the given string $s$.

Example
Input
44<<>>4>><<5>>>>>7<><><><
Output
3
3
6
2

Note

In the first test case of the example, the array can be $[13, 37, 42, 37, 13]$.

In the second test case of the example, the array can be $[42, 37, 13, 37, 42]$.