Hash Maps & Sets · 12 min · free with an account

Longest Consecutive Set Run: When to Use It

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Recognise the problem shape before choosing Longest Consecutive Set Run.

Core idea

Choose a pattern from the input guarantees and required operations, not from surface wording.

Start with the idea

A problem is a good match for Longest Consecutive Set Run when it asks for unsorted consecutive sequences and sparse integer runs. Here the concrete task is: Return the length of the longest consecutive integer run. The visible input [100, 4, 200, 1, 3, 2] is an example, not a definition of the whole problem. Ask what operations the solution must support and what the input guarantees. Look for repeated membership, grouping, or a reusable key representation. A sorted structure may be preferable when deterministic order is part of the requirement. The right choice follows from those guarantees, not from a familiar noun in the prompt.

The decisive invariant is: Start only at values with no predecessor, then walk each consecutive run once. Try to say why it applies to the task without quoting the implementation. Which fact becomes known after one update, and which possible answers remain? A key-derived representation lets later work reuse an earlier fact. It may be a set, a map from keys to state, compressed ranks, or a rolling fingerprint; name which one this pattern uses. If that claim cannot be maintained on a legal input, the pattern is wrong or one of its preconditions is missing. A counterexample is more useful than a vague warning: change one property of the sample, trace the first two steps, and identify the exact claim that fails.

Compare costs before committing. The advertised bound is O(n) expected time · O(n) space; identify the operation responsible for it and the extra memory it needs.

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