Largest Rectangle in Histogram

Try to solve the Largest Rectangle in Histogram problem.

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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

  • 1≤1 \leq heights.length ≤103\leq 10^3
  • 0≤0 \leq heights[i] ≤104\leq 10^4

Examples

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