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Last-Seen Unique Window: When to Use It

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Recognise the problem shape before choosing Last-Seen Unique Window.

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 Last-Seen Unique Window when it asks for longest substring or subarray with unique items. Here the concrete task is: Return the longest substring length without repeated characters. The visible input abcabcbb is an example, not a definition of the whole problem. Ask what operations the solution must support and what the input guarantees. Choose this family when a valid window can be repaired by moving one boundary; non-monotone constraints may need a different method. The right choice follows from those guarantees, not from a familiar noun in the prompt.

The decisive invariant is: Jump the left boundary past a repeated symbol using its latest position. 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 window is a contiguous interval with a maintained summary. Describe what entering the right edge adds and what leaving the left edge removes. 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(k) space; identify the operation responsible for it and the extra memory it needs.

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