Took me a while to even parse what 'special' meant here.
Clarify the definition of valid substrings: exactly two identical characters (e.g., 'AA') or longer substrings where the first and last characters match and all middle characters are the same distinct character (e.g., 'ABA', 'ABBA'). Then design an algorithm that counts these efficiently, likely by iterating over possible middle characters and using runs of identical characters to compute combinations.
Pro tip: After presenting your solution, discuss how you would test it with edge cases like empty string, single character, and strings with all identical characters, and mention the time and space complexity trade-offs.
Restate the definition of valid substrings and confirm with the interviewer. Ask about constraints (e.g., string length, character set) and expected output (count only).
Recognize that valid substrings consist of a run of identical middle characters flanked by two identical characters (which may be the same as the middle). For length 2, it's just two identical characters.
Iterate through the string, identify runs of identical characters, and for each run, compute the number of valid substrings that can be formed using that run as the middle portion. Use combinatorics to count without enumerating all substrings.
Determine the time and space complexity of your approach. Aim for O(n) time and O(1) extra space if possible.
Walk through small examples (e.g., 'AA', 'ABA', 'ABBA', 'AABAA') to verify correctness. Consider edge cases like empty string, single character, and all identical characters.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.