Grokking Microsoft Coding Interview
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Solution: Largest Rectangle in Histogram
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Problem Statement

Given an array of integers heights, where heights[i] represents the height of the histogram's bar, return the area of the largest rectangle in the histogram. Each bar has width equal to 1.

Examples

  • Example 1:
    • Input: [4, 2, 3, 2]

  • Expected Output: 8

  • Justification: The largest rectangle can be drawn from the first bar to the fourth bar, having height 2, resulting in an area of 2x4=8.

  • Example 2:

    • Input: [1,3,4,5,2]
  • Expected Output: 9

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