Problem: You are given a string of characters, or numbers. Find the minimum number of characters to be inserted into the string in order to obtain a palindrome. 
A palindrome is a word, phrase, number, or other sequence of symbols or elements that reads the same forward or reversed. 

For example, the string abcbd can be transformed into a palindrome ("dabcbad" or "adbcbda"). However, inserting fewer than 2 characters will not produce a palindrome.

Input Format:

First line contains test cases and second line contains an integer 'n' specifying the length of the string, where 3 ≤ n ≤ 20
Second line contains a string of length n. 

Note:

Upper-case and lower-case characters are considered as different. Elements of the string are either English alphabets or numerals.

Output Format:

One line containing the minimum number of insertions required to make the string a palindrome

SAMPLE INPUT
2
5
nitin
7
aabbaab

SAMPLE OUTPUT
0
1

Solution (in PYTHON):

Solution:
#!/usr/bin/python
# -*- encoding: utf-8 -*-
# pylint: disable=invalid-name,missing-docstring,bad-builtin
from sys import stdin
from itertools import imap

def lcs(a, b):
    lengths = [[0 for j in range(len(b)+1)] for i in range(len(a)+1)]
    # row 0 and column 0 are initialized to 0 already
    for i, x in enumerate(a):
        for j, y in enumerate(b):
            if x == y:
                lengths[i+1][j+1] = lengths[i][j] + 1
            else:
                lengths[i+1][j+1] = \
                    max(lengths[i+1][j], lengths[i][j+1])
    return lengths[-1][-1]

def main():
    dstream = iter(stdin.read().split())
    for _ in xrange(int(next(dstream))):
        n, word = int(next(dstream)), next(dstream)
        print n - lcs(word, word[::-1])

main()