CF2267A Turn Into a Palindrome

Description

Ali has a string $ s $ consisting of $ n $ lowercase Latin letters. He also has a character $ c $ , which is a lowercase Latin letter. In one coin, he can perform the following operation on the string $ s $ : - First, he chooses an index $ 1\le i\le n $ . - Then he replaces $ s_i $ with the character $ c $ . Ali wants to turn the string $ s $ into a palindrome $ ^{\text{∗}} $ , but he does not want to spend too many coins on it. Your task — compute the minimum number of coins he has to spend to turn the string $ s $ into a palindrome. $ ^{\text{∗}} $ A string $ t $ of length $ m $ is a palindrome if $ t_i = t_{m-i+1} $ holds for every $ 1\le i\le m $

Input Format

Each test contains multiple test cases. The first line contains the number of test cases $ t $ ( $ 1 \le t \le 500 $ ). The description of the test cases follows. The first line of each test case contains an integer $ n $ and a lowercase Latin letter $ c $ ( $ 1\le n\le 100 $ ) — the length of the string $ s $ and the character $ c $ . The second line of each test case contains the string $ s $ consisting of $ n $ lowercase Latin letters.

Output Format

For each test case, output one number — the minimum number of coins Ali needs to spend for the string to become a palindrome.

Explanation/Hint

In the first test case, in one coin, you can replace $ s_3 $ with $ \texttt{b} $ . After the replacement, the string becomes $ \texttt{abba} $ , which is already a palindrome. It can be proven that $ 1 $ is the minimum number of coins required. In the second test case, the string $ s $ is already a palindrome. In the third test case, it is enough to change $ s_1 $ and $ s_5 $ to $ \texttt{e} $ . After two replacements, the string becomes $ \texttt{ebcbe} $ , which is already a palindrome. In the fourth test case, in two coins, you can replace $ s_1 $ and $ s_7 $ .