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Problem: Largest Rectangle in Histogram

hard
40 min
Explore how to determine the largest rectangle in a histogram represented by bar heights. Understand problem constraints and implement an efficient O(n) time solution to develop skills for coding interviews.

Statement

Given an array of integers, heights, that represents the heights of bars in a histogram, find the area of the largest rectangle in the histogram, where the rectangle has a constant width of 11 unit for each bar.

Constraints

  • 11 \leq heights.length 103\leq 10^3
  • 00 \leq heights[i] 104\leq 10^4
Tap here to switch tabs
Problem
Ask
Submissions

Problem: Largest Rectangle in Histogram

hard
40 min
Explore how to determine the largest rectangle in a histogram represented by bar heights. Understand problem constraints and implement an efficient O(n) time solution to develop skills for coding interviews.

Statement

Given an array of integers, heights, that represents the heights of bars in a histogram, find the area of the largest rectangle in the histogram, where the rectangle has a constant width of 11 unit for each bar.

Constraints

  • 11 \leq heights.length 103\leq 10^3
  • 00 \leq heights[i] 104\leq 10^4