You are given a string s and an integer k.

In a single operation, you can choose any character in s and change it to either the previous or the next character in the circular alphabet (where 'a' transitions to 'z' and 'z' transitions to 'a').

Return the maximum possible length of a palindromic subsequence that can be obtained from s after applying at most k total operations.

Note: A subsequence is a string derived from another string by deleting zero or more characters without changing the order of the remaining characters.

Constraints:

• $1 \leq$ s.length $\leq 200$

• $1 \leq$ k $\leq 200$

• s consists of only lowercase English letters.

Now, let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:

We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.

Implement your solution in the following coding playground.