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Add largest rectangle histogram (#12269)

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* added ridge regression

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* added ridge regression

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* ridge regression

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* added largest rectangle histogram function

* added largest rectangle histogram function

* Update frequent_pattern_growth.py

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Ankana Pari 2025-03-09 03:05:07 +05:30 committed by GitHub
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data_structures/stacks/largest_rectangle_histogram.py Normal file
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def largest_rectangle_area(heights: list[int]) -> int:
"""
Inputs an array of integers representing the heights of bars,
and returns the area of the largest rectangle that can be formed
>>> largest_rectangle_area([2, 1, 5, 6, 2, 3])
10
>>> largest_rectangle_area([2, 4])
4
>>> largest_rectangle_area([6, 2, 5, 4, 5, 1, 6])
12
>>> largest_rectangle_area([1])
1
"""
stack: list[int] = []
max_area = 0
heights = [*heights, 0] # make a new list by appending the sentinel 0
n = len(heights)
for i in range(n):
# make sure the stack remains in increasing order
while stack and heights[i] < heights[stack[-1]]:
h = heights[stack.pop()] # height of the bar
# if stack is empty, it means entire width can be taken from index 0 to i-1
w = i if not stack else i - stack[-1] - 1 # calculate width
max_area = max(max_area, h * w)
stack.append(i)
return max_area
if __name__ == "__main__":
import doctest
doctest.testmod()