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Largest Rectangle in Histogram

hardblind-75dsastackmonotonic-stack
Asked at
Cloudflare
Datadog
Netflix
Stripe
Vercel
Cloudflare, Datadog, Netflix, Stripe, Vercel

Problem statement

Implement largestRectangleArea for the classic Largest Rectangle in Histogram problem.

This Blind 75 version is framed for frontend interviews: write clean JavaScript, name the invariant out loud, and handle edge cases without over-engineering.

What this tests

  • Pattern: monotonic increasing stack.
  • Ability to explain time and space complexity clearly.
  • Careful handling of empty inputs, duplicates, and boundary cases.
  • Production-style JavaScript readability, not just competitive-programming shortcuts.

Requirements & constraints

  • →Use JavaScript without external libraries.
  • →Prefer the standard optimal interview approach for this pattern.
  • →Return deterministic output when multiple valid outputs exist where the prompt implies ordering.

Examples

  • Example 1

    Input: Use the canonical Blind 75 sample for this problem.

    Output: Return the value required by the problem statement.

How to approach Largest Rectangle in Histogram

The strategy an interviewer expects you to reach for.

Senior Frontend Approach Start by identifying the pattern: monotonic increasing stack. Then define the invariant the loop or recursion maintains before writing code.

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