I knew the sliding window pattern going in but still fumbled the frequency map bookkeeping.
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. This yields O(n) time and O(k) space where k is the number of distinct characters in t.
Pro tip: Clarify edge cases upfront (e.g., t longer than s, empty strings, Unicode) and mention that the algorithm handles duplicates by tracking required counts. Also, discuss how you'd test it with examples like s='ADOBECODEBANC', t='ABC' to show thoroughness.
Confirm that the substring must contain all characters of t including duplicates, and that order doesn't matter. Discuss edge cases: empty strings, t longer than s, no valid substring, and character set (ASCII vs Unicode).
Explain that a brute-force check of all substrings is O(n^2) or worse, so a sliding window with two pointers gives O(n) time. Use a frequency map for t and a window frequency map.
Move the right pointer to include characters, updating the window map and a 'formed' counter when a character's count meets the required count. When all characters are satisfied, move the left pointer to shrink the window while maintaining validity, updating the minimum length and start index.
Keep track of the minimum window length and its starting index. After the loop, return the substring if found, else an empty string.
State time complexity O(|s| + |t|) and space O(|s| + |t|) or O(k) where k is distinct characters. Walk through a test case like s='ADOBECODEBANC', t='ABC' to verify.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.