Day 69 — Sliding Window Maximum

Coding problem

ProblemSliding Window Maximum
LeetCode ID(s)LeetCode #239
DifficultyHard
PatternMonotonic Deque
Company tagsGoogle
Suggested time25m

Solution outline (coding)

Focus on the Monotonic Deque pattern. Start by writing out a few examples by hand, then identify the invariant you must maintain (e.g., prefix sums, window bounds, visited set, heap ordering). Aim for an implementation you can explain in under a minute, including time and space complexity.

Show Python solution
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SQL question

metrics(ts, value). BigQuery: implement sliding window maximum over fixed-size time windows with window functions and ARRAYs; compare cost vs application-level computation.

How to approach (SQL)

Break the prompt into steps:

  • Identify source tables, required joins, and filters (especially on time partitions).
  • Decide where you need GROUP BY vs. window functions (e.g., ROW_NUMBER, SUM() OVER, COUNT() OVER).
  • For BigQuery, think about partitioning and clustering to avoid unnecessary full scans.
  • Write the query in stages (CTEs) so each step is easy to debug and reason about. Finish by checking edge cases: nulls, late events, duplicated keys, and extreme values.