You are given a string s and two integers x and y. You can perform two types of operations any number of times.
"ab" and gain x points.
<ul>
<li>For example, when removing <code>"ab"</code> from <code>"c<u>ab</u>xbae"</code> it becomes <code>"cxbae"</code>.</li>
</ul>
</li>
<li>Remove substring <code>"ba"</code> and gain <code>y</code> points.
<ul>
<li>For example, when removing <code>"ba"</code> from <code>"cabx<u>ba</u>e"</code> it becomes <code>"cabxe"</code>.</li>
</ul>
</li>
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 <= 1051 <= x, y <= 104s consists of lowercase English letters.