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Maximize the Number of Partitions After Operations

You are given a string s and an integer k.

You are given a string s and an integer k.

First, you are allowed to change at most one index in s to another lowercase English letter.

After that, do the following partitioning operation until s is empty:

Return an integer denoting the maximum number of resulting partitions after the operations by optimally choosing at most one index to change.

Maximize the Number of Partitions After Operations diagram

Example 1

Input: s = "accca", k = 2

Output: 3

Explanation: The optimal way is to change s[2] to something other than a and c, for example, b. then it becomes "acbca" . Then we perform the operations: Doing the operations, the string is divided into 3 partitions, so the answer is 3.

Example 2

Input: s = "aabaab", k = 3

Output: 1

Explanation: Initially s contains 2 distinct characters, so whichever character we change, it will contain at most 3 distinct characters, so the longest prefix with at most 3 distinct characters would always be all of it, therefore the answer is 1.

Example 3

Input: s = "xxyz", k = 1

Output: 4

Explanation: The optimal way is to change s[0] or s[1] to something other than characters in s , for example, to change s[0] to w . Then s becomes "wxyz" , which consists of 4 distinct characters, so as k is 1, it will divide into 4 partitions.

Constraints

  • 1 <= s.length <= 10^4
  • s consists only of lowercase English letters.
  • 1 <= k <= 26

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