mediumStringsPattern: Mixed
Alternate Ingredient Sequence Length Solution
Problem Statement
Given a string of characters representing ingredient categories, where 'A' denotes one category and 'B' denotes another, determine the length of the longest subsequences that alternate between 'A' and 'B'.
Examples
Example 1:
Input:STST
Output:4
Explanation: The input 'STST' represents a sequence of ingredients where 'S' and 'T' alternate, resulting in a longest subsequence of length 4.
Example 2:
Input:STT
Output:2
Explanation: The input 'STT' represents a sequence of ingredients where 'S' and 'T' do not perfectly alternate, resulting in a longest subsequence of length 2.
Constraints
- 1 <= input length <= 500
- The input string contains only 'S' and 'T' characters.
Time: O(n) Space: O(n)
The optimal approach uses dynamic programming to keep track of the longest alternating subsequences ending at each position, with a time complexity of O(n) and a space complexity of O(n).
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