You are given a string `s` and two integers `x` and `y`. You can perform two types of operations any number of times.

- Remove substring `"ab"` and gain `x` points.
  - For example, when removing `"ab"` from `"cabxbae"` it becomes `"cxbae"`.
- Remove substring `"ba"` and gain `y` points.
  - For example, when removing `"ba"` from `"cabxbae"` it becomes `"cabxe"`.

Return the maximum points you can gain after applying the above operations on `s`.

Example 1:

    Input: s = "cdbcbbaaabab", x = 4, y = 5
    Output: 19
    Explanation:
    - Remove the "ba" underlined in "cdbcbbaaabab". Now, s = "cdbcbbaaab" and 5 points are added to the score.
    - Remove the "ab" underlined in "cdbcbbaaab". Now, s = "cdbcbbaa" and 4 points are added to the score.
    - Remove the "ba" underlined in "cdbcbbaa". Now, s = "cdbcba" and 5 points are added to the score.
    - Remove the "ba" underlined in "cdbcba". Now, s = "cdbc" and 5 points are added to the score.
    Total score = 5 + 4 + 5 + 5 = 19.

Example 2:

    Input: s = "aabbaaxybbaabb", x = 5, y = 4
    Output: 20

Constraints:

- `1 <= s.length <= 105`
- `1 <= x, y <= 104`
- `s` consists of lowercase English letters.