The O(n) constraint is what makes this non-trivial.
Use a sliding window with two pointers to expand and contract a window over s while tracking character counts from t. Maintain a 'formed' counter to know when the window contains all required characters, and record the minimum length window. Return the smallest valid window or empty string if none exists.
Pro tip: Clarify edge cases upfront (e.g., t longer than s, empty strings) and discuss trade-offs between the sliding window O(n) approach and a brute-force O(n^2) method to show depth. Mention that the window is always valid when formed == required, and you only shrink when it remains valid.
Confirm that t may have duplicates, s and t can be empty, and return empty string if no valid substring. Ask if characters are case-sensitive or limited to ASCII.
Explain that a brute-force check of all substrings is O(n^2) or worse, while a sliding window with hash maps achieves O(n) time and O(k) space, where k is the number of unique characters in t.
Create a frequency map for t (dict_t) and a window frequency map (window_counts). Track 'formed' (number of characters meeting required frequency) and 'required' (unique characters in t).
Move right pointer to include characters, updating window_counts and formed. When formed == required, shrink from left while maintaining validity, updating the minimum window length and start index.
After traversal, return the substring using the recorded start and min length, or empty string if none found. State time complexity O(|s| + |t|) and space O(|s| + |t|) or O(k).
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.