2193 Minimum Number of Moves to Make Palindrome

You are given a string s consisting only of lowercase English letters.

In one move, you can select any two adjacent characters of s and swap them.

Return the minimum number of moves needed to make s a palindrome.

Note that the input will be generated such that s can always be converted to a palindrome.

Example 1:

Input: s = "aabb"
Output: 2
Explanation:
We can obtain two palindromes from s, "abba" and "baab". 
- We can obtain "abba" from s in 2 moves: "aabb" -> "abab" -> "abba".
- We can obtain "baab" from s in 2 moves: "aabb" -> "abab" -> "baab".
Thus, the minimum number of moves needed to make s a palindrome is 2.

Example 2:

Input: s = "letelt"
Output: 2
Explanation:
One of the palindromes we can obtain from s in 2 moves is "lettel".
One of the ways we can obtain it is "letelt" -> "letetl" -> "lettel".
Other palindromes such as "tleelt" can also be obtained in 2 moves.
It can be shown that it is not possible to obtain a palindrome in less than 2 moves.

Constraints:

  • 1 <= s.length <= 2000
  • s consists only of lowercase English letters.
  • s can be converted to a palindrome using a finite number of moves.
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class Solution:
    def minMovesToMakePalindrome(self, s: str) -> int:
        s = list(s)
        res = 0
        while s:
            i = s.index(s[-1])
            if i == len(s) - 1:
                # last char is unique
                # move it to the middle
                res += i // 2
            else:
                # move s[i] to the begining
                res += i
                s.pop(i)
            s.pop()
        return res