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Problem: Largest Rectangle in Histogram

Explore how to determine the largest rectangle within a histogram using a stack data structure. Learn to implement a monotonic stack approach in Python to calculate the maximum rectangular area efficiently. This lesson helps you understand and apply stack operations and reasoning to solve this classic problem with linear time complexity.

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 ...