How to Solve Beautiful Towers I I Problem
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Beautiful Towers II
You are given a 0-indexed array maxHeights of n integers. You are tasked with building n towers in the coordinate line. The ith tower is built at coordinate i and has a height of heights[i]. A configu...
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Understanding the Beautiful Towers I I Problem
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Problem Statement
You are given a 0-indexed array maxHeights of n integers. You are tasked with building n towers in the coordinate line. The ith tower is built at coordinate i and has a height of heights[i]. A configuration of towers is beautiful if the following conditions hold: 1 <= heights[i] <= maxHeights[i] heights is a mountain array. Array heights is a mountain if there exists an index i such that: For all 0 < j <= i, heights[j - 1] <= heights[j] For all i <= k < n - 1, heights[k + 1] <= heights[k] Return the maximum possible sum of heights of a beautiful configuration of towers.
Beautiful Towers II
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Examples
maxHeights = [5,3,4,1,1]13One beautiful configuration with a maximum sum is heights = [5,3,3,1,1]. This configuration is beautiful since: - 1 <= heights[i] <= maxHeights[i] - heights is a mountain of peak i = 0. It can be shown that there exists no other beautiful configuration with a sum of heights greater than 13.
maxHeights = [6,5,3,9,2,7]22One beautiful configuration with a maximum sum is heights = [3,3,3,9,2,2]. This configuration is beautiful since: - 1 <= heights[i] <= maxHeights[i] - heights is a mountain of peak i = 3. It can be shown that there exists no other beautiful configuration with a sum of heights greater than 22.
maxHeights = [3,2,5,5,2,3]18One beautiful configuration with a maximum sum is heights = [2,2,5,5,2,2]. This configuration is beautiful since: - 1 <= heights[i] <= maxHeights[i] - heights is a mountain of peak i = 2. Note that, for this configuration, i = 3 can also be considered a peak. It can be shown that there exists no other beautiful configuration with a sum of heights greater than 18.
Constraints
1 <= n == maxHeights.length <= 1051 <= maxHeights[i] <= 109How Interview Coder Helps with Leetcode Problems
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