Tagged “algorithms”

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Jul 6, 2026· 2 min read ·12 views

The sliding window, four patterns deep

Turning O(n·k) into O(n) by not throwing away work you already did

Key takeaways
  • When windows overlap, do not rebuild them — update them.
  • The inner while loop is still O(n): left only ever moves forward.
  • Contiguous means window; subsequence does not.

Most array problems have an obvious brute force answer: check every window, take the best one. It works, and it is O(n·k). Consecutive windows overlap almost completely. Only one e…