Largest Rectangle in Histogram

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Solve this the way you would in the interview: out loud, on a timer, with an AI interviewer asking follow-ups while you code. You get a scored report at the end.

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Problem

Given an array of integers heights representing the histogram's bar height where the width of each bar is 1, return the area of the largest rectangle in the histogram.

Examples

Input: heights = [2,1,5,6,2,3]
Output: 10
The rectangle formed by bars of height 5 and 6 has width 2 and area 10.
Input: heights = [2,4]
Output: 4

Constraints

  • 1 <= heights.length <= 10^5
  • 0 <= heights[i] <= 10^4

What the interviewer grades

A correct solution is one of five scores. The report also grades problem understanding (did you clarify inputs and edge cases before coding), problem solving, communication while you work, code quality, and testing. See a sample report, or read up on the pattern in the lessons.

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