You have a string s of length n consisting of only characters > and <. You may do some operations with this string, for each operation you have to choose some character that still remains in the string. If you choose a character >, the character that comes right after it is deleted (if the character you chose was the last one, nothing happens). If you choose a character <, the character that comes right before it is deleted (if the character you chose was the first one, nothing happens).

For example, if we choose character > in string > > < >, the string will become to > > >. And if we choose character < in string > <, the string will become to <.

The string is good if there is a sequence of operations such that after performing it only one character will remain in the string. For example, the strings >, > > are good. 

Before applying the operations, you may remove any number of characters from the given string (possibly none, possibly up to n - 1, but not the whole string). You need to calculate the minimum number of characters to be deleted from string s so that it becomes good.

Input

The first line contains one integer t (1 ≤ t ≤ 100) – the number of test cases. Each test case is represented by two lines.

The first line of i-th test case contains one integer n (1 ≤ n ≤ 100) – the length of string s.

The second line of i-th test case contains string s, consisting of only characters > and <.

Output

For each test case print one line.

For i-th test case print the minimum number of characters to be deleted from string s so that it becomes good.

Example

Input


3
2
&lt;&gt;
3
&gt;&lt;&lt;
1
&gt;


Output


1
0
0

Note

In the first test case we can delete any character in string <>.

In the second test case we don't need to delete any characters. The string > < < is good, because we can perform the following sequence of operations: > < < → < < → <.

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.HashSet;
import java.util.List;
import java.util.Set;

public class B {
    public static void main(String[] args) throws IOException {
        BufferedReader reader= new BufferedReader(new InputStreamReader(System.in));

        int t = Integer.parseInt(reader.readLine());

        for(int i = 0; i < t; i++) {
            int n = Integer.parseInt(reader.readLine());
            String line = reader.readLine();
            if(n == 1)
                System.out.println(0);
            else {
                int res = check(line);
                System.out.println(res);
            }
        }
    }
    public static int check(String s) {
        int start = checkStart(s);
        if(start == s.length())
            return 0;
        int end = checkEnd(s);
        if(end == s.length())
            return 0;
        return Math.min(start, end);
    }

    public static int checkStart(String line) {
        int count = 0;
        for(int i = 0; i < line.length(); i++) {
            if(line.charAt(i) == '<')
                count++;
            else
                return count;
        }
        return count;
    }

    public static int checkEnd(String line) {
        int count = 0;
        for(int i = line.length() - 1; i >= 0; i--) {
            if(line.charAt(i) == '>')
                count++;
            else
                return count;
        }
        return count;
    }
}