I knew it was a sliding window problem pretty fast, two pointers, frequency map, shrink from the left when you have a valid window.
Use a sliding window with two pointers to expand and contract a window over s while tracking character counts of t. Maintain a 'formed' counter to know when the window contains all required characters, and record the minimum length window. Return the shortest substring found or empty string if none exists.
Pro tip: Clarify edge cases upfront (e.g., t longer than s, empty strings) and state the time complexity O(|s| + |t|) and space O(|s| + |t|) to show thoroughness. Also, mention that you'd test with duplicate characters in t to ensure correctness.
Restate the problem to confirm understanding: find the shortest contiguous substring of s containing all characters of t with duplicates. Discuss edge cases like empty strings, t longer than s, or no valid substring.
Explain that a brute-force check of all substrings is O(n^2) and inefficient. Propose a sliding window (two pointers) technique to achieve O(n) time by expanding and contracting the window.
Use a frequency map for characters in t and a dynamic count for the current window. Maintain a 'formed' counter to track how many characters have met the required frequency, and variables for min length and start index.
Expand the right pointer to include characters, updating counts and 'formed'. When 'formed' equals the number of unique characters in t, contract the left pointer to minimize the window while updating the minimum length and start index.
After traversal, return the substring using the recorded start and min length, or empty string if no valid window. State time complexity O(|s| + |t|) and space O(|s| + |t|) for the frequency maps.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.