I got the brute force out fast, simulate each pass until stable, but then they asked for O(n) and I kind of stared at the screen for a moment.
Use a stack where each element stores a character and its current run length. Iterate through the string, pushing or updating the top element; when the run length reaches k, pop it. At the end, reconstruct the string from the stack.
Pro tip: Emphasize that the stack approach naturally handles cascading removals because after popping, the new top may have the same character as the next incoming character, and the run length will be correctly updated. Also, mention that storing run lengths avoids storing every character, keeping space O(n) in the worst case but often much less.
Restate the problem to ensure understanding: repeatedly remove maximal contiguous groups of length >= k, with collapsing after each removal. Confirm that k >= 2 and that the solution must be O(n) time and O(n) space.
Propose using a stack where each element is a pair (character, count). Iterate through the string, and for each character, compare with the top of the stack. If same, increment count; if different, push new pair with count 1. If count reaches k, pop the element.
Trace the algorithm on a small example (e.g., s = "deeedbbcccbdaa", k = 3) to demonstrate how removals cascade and how the stack correctly handles them.
Explain that each character is processed once, and each stack operation is O(1), so total time is O(n). Space is O(n) in the worst case (e.g., no removals), but often less.
Mention edge cases: empty string, k larger than string length, all characters same, and alternating characters. Compare with a naive repeated-pass approach (O(n^2)) to highlight the efficiency of the stack solution.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.