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Problem: Largest Rectangle in Histogram

Understand how to solve the problem of finding the largest rectangle in a histogram using a monotonic stack. Learn to implement a one-pass algorithm in JavaScript that efficiently processes histogram bars, calculates areas, and updates the maximum rectangle size. This lesson covers stack operations, problem constraints, and algorithm complexity to enhance your problem-solving skills with linear data structures.

Statement

You are given an array of integers heights, where each element represents the height of a bar in a histogram. Every bar has a width of 11.

Determine the area of the largest rectangle that can be formed within the histogram.

Constraints:

  • 11 \leq heights.length 105\leq 10^5

  • 00 \leq ...