Use a sliding window (two-pointer) technique to find the minimum window in s that contains all characters of t with required frequencies. Maintain a frequency map for t and a window frequency map, expanding the right pointer until the window is valid, then contracting the left pointer to minimize the window while keeping it valid. Track the smallest valid window found.
Pro tip: Clarify edge cases upfront (e.g., t longer than s, characters not in s) and discuss how your solution handles them. Also, mention that the sliding window approach is optimal and commonly expected at Google, but be prepared to discuss alternative approaches like binary search with hashing if asked.
Restate the problem to ensure clarity: find the shortest contiguous substring of s that contains every character of t with at least the same frequency. Discuss edge cases such as empty strings, t longer than s, or characters in t not present in s.
Explain that a sliding window with two pointers efficiently finds the minimum window by expanding and contracting the window while maintaining character counts. Justify why this is optimal compared to brute force.
Describe: 1) Build a frequency map for t. 2) Initialize left=0, min_len=infinity, min_start=0, and a counter for how many characters of t are satisfied. 3) Expand right, update window counts, and when all characters are satisfied, contract left to minimize the window, updating min_len and min_start. 4) Repeat until right reaches end.
State that time complexity is O(|s| + |t|) because each character is visited at most twice (by left and right pointers). Space complexity is O(|s| + |t|) or O(1) if using fixed-size arrays for ASCII, but generally O(k) where k is the number of distinct characters in t and s.
Implement the algorithm in a clean, modular way, using appropriate data structures (e.g., hash map or array). Walk through a small example to demonstrate correctness and handle edge cases in code.
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