How to Solve Beautiful Towers I Problem
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Beautiful Towers I
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. In this arrangem...
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Understanding the Beautiful Towers I Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
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. In this arrangement, the tower heights are non-decreasing, reaching a maximum peak value with one or multiple consecutive towers and then non-increasing. Return the maximum possible sum of heights of a mountain-shaped tower arrangement.
Beautiful Towers I
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Examples
heights = [5,3,4,1,1]13We remove some bricks to make heights = [5,3,3,1,1], the peak is at index 0.
heights = [6,5,3,9,2,7]22We remove some bricks to make heights = [3,3,3,9,2,2], the peak is at index 3.
heights = [3,2,5,5,2,3]18We remove some bricks to make heights = [2,2,5,5,2,2], the peak is at index 2 or 3.
Constraints
1 <= n == heights.length <= 1031 <= heights[i] <= 109How Interview Coder Helps with Leetcode Problems
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