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I knew sliding window was the move pretty fast, but I fumbled the incremental update part.
Use a sliding window of length equal to the second string over the first string, maintaining character frequency counts to check for anagrams in O(n) time. Compare the frequency maps at each step, updating counts as the window slides. Return all starting indices where the frequency maps match.
Pro tip: Mention that you can optimize by tracking the number of matching characters instead of comparing full frequency maps each time, reducing constant factors. Also, clarify edge cases like empty strings or when the second string is longer than the first.
Confirm assumptions: strings may contain any characters, case sensitivity, and that an anagram must be a contiguous substring. Check if the second string is longer than the first; if so, return an empty list.
Use a frequency array (size 26 for lowercase letters) or a hash map for character counts. Initialize counts for the second string and the first window of the first string.
Iterate through the first string, updating the window's frequency counts by adding the new character and removing the old one. Compare the window's counts with the target counts.
Instead of comparing full frequency maps each time, maintain a count of how many characters have matching frequencies. When this count equals the number of distinct characters in the target, record the start index.
Collect all valid starting indices in a list and return it. Discuss time and space complexity: O(n) time and O(1) space (since alphabet size is fixed).
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