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Problem: Largest Rectangle in Histogram

Explore how to determine the largest rectangle area in a histogram by using a monotonic stack to track bar indices. Learn to manage indices for height comparisons, calculate areas optimally, and understand this algorithm's linear time and space complexity for effective problem solving.

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 ...