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Maximum Difference Between Even and Odd Frequency II

You are given a string s and an integer k.

You are given a string s and an integer k. Your task is to find the maximum difference between the frequency of two characters, freq[a] - freq[b], in a substring subs of s, such that:

Return the maximum difference.

Note that subs can contain more than 2 distinct characters.

Maximum Difference Between Even and Odd Frequency II diagram

Example 1

Input: s = "12233", k = 4

Output: -1

Explanation: For the substring "12233" , the frequency of '1' is 1 and the frequency of '3' is 2. The difference is 1 - 2 = -1 .

Example 2

Input: s = "1122211", k = 3

Output: 1

Explanation: For the substring "11222" , the frequency of '2' is 3 and the frequency of '1' is 2. The difference is 3 - 2 = 1 .

Example 3

Input: s = "110", k = 3

Output: -1

Constraints

  • 3 <= s.length <= 3 * 10^4
  • s consists only of digits '0' to '4'.
  • The input is generated that at least one substring has a character with an even frequency and a character with an odd frequency.
  • 1 <= k <= s.length

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