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Problem: Largest Rectangle in Histogram

Explore how to use a monotonic stack to solve the largest rectangle in histogram problem efficiently. Learn to implement stack operations to calculate the maximum rectangular area in linear time using Java. Understand the steps, constraints, and complexity for this common algorithm challenge.

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 ...