Beautiful Towers I — LeetCode 2865 Python Solution

MediumStackArrayMonotonic Stack
Problem
#2865
Pattern
Stack
Reading time
2 min

The problem

You are given an array heights of n integers representing the number of bricks in n consecutive towers. Your task is to remove some bricks to form a mountain-shaped tower arrangement.

Python solution

Python
class Solution:
    def maximumSumOfHeights(self, maxHeights: List[int]) -> int:
        ans, n = 0, len(maxHeights)
        for i, x in enumerate(maxHeights):
            y = t = x
            for j in range(i - 1, -1, -1):
                y = min(y, maxHeights[j])
                t += y
            y = x
            for j in range(i + 1, n):
                y = min(y, maxHeights[j])
                t += y
            ans = max(ans, t)
        return ans

Complexity

MeasureComplexity
TimeO(n^2)
SpaceO(1) auxiliary

Pattern: Stack

When the most recent unresolved thing is the one that matters, use a stack. LeetCode 2865. Beautiful Towers I is filed here because LeetCode tags it Stack, which is the vocabulary this hub collects.

The stack guide has the Python template for the pattern and the 194 LeetCode problems that use it.

Related problems

Frequently asked questions

How hard is LeetCode 2865. Beautiful Towers I?
LeetCode 2865. Beautiful Towers I is rated Medium on LeetCode.
What is the time complexity of LeetCode 2865. Beautiful Towers I?
The Python solution on this page runs in O(n^2).
What is the space complexity of LeetCode 2865. Beautiful Towers I?
The Python solution on this page uses O(1) auxiliary space.
What topics does LeetCode 2865. Beautiful Towers I cover?
LeetCode 2865. Beautiful Towers I is tagged Stack, Array and Monotonic Stack on LeetCode.

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