I started with the linear scan pretty naturally, just walk the pairs and track a running total until you hit the segment containing p.
First, parse the encoded string into a list of (character, count) pairs, handling multi-digit counts. Then, for the O(n) approach, iterate through the pairs, subtracting counts from p until you find the character; for O(log n), precompute prefix sums of counts and use binary search to locate the character. Discuss trade-offs: O(n) is simple and uses O(1) extra space if parsing on the fly, while O(log n) requires O(n) preprocessing but enables faster queries.
Pro tip: Clarify upfront whether the encoded string is static or dynamic, and whether multiple queries will be made—this determines if preprocessing for O(log n) is worth it. Also, explicitly handle edge cases like p out of range and multi-digit counts to show attention to detail.
Ask if the encoded string is fixed, if multiple queries will be made, and if p is 0-indexed or 1-indexed. Confirm that counts can be multi-digit and that the decoded string may be very large.
Write a parser that extracts character and count pairs, correctly handling multi-digit numbers (e.g., 'A12' means 12 'A's). Store pairs in a list for further processing.
Iterate through the pairs, maintaining a running total of characters. When the running total exceeds p, return the current character. This is simple and uses O(1) extra space if parsing on the fly.
Precompute an array of cumulative counts (prefix sums) for each pair. Use binary search to find the smallest index where the cumulative count > p, then return the character at that index.
Compare time/space complexity: O(n) query with O(1) space vs O(log n) query with O(n) preprocessing. Handle edge cases: p out of range (return null or throw exception), empty string, and multi-digit counts.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.