mediumArraysPattern: Pattern recognition and array traversal

Array Reflection Height Maximization Solution

Problem Statement

You are given an array of integers `reflections` where each element represents a floor number visible from a bird's-eye view. Determine the maximum possible height of the tower and its configurations based on these reflections.

Constraints

  • 1 ≤ floorNumbers.length ≤ 10^5
  • 1 ≤ floorNumbers[i] ≤ 10^6
  • The floor numbers in the reflection list may or may not be present in their original order
Time: O(n log n) Space: O(n)
The optimal approach to solve this problem is to sort the floor numbers in descending order, and then construct all possible valid configurations starting from the maximum value.

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