Solution: The Skyline Problem

Explore how to apply the union-find algorithm to solve the Skyline Problem by merging overlapping building outlines. Understand the approach to track and combine building ranges, optimize with sorting and union-find data structures, and build the skyline shape efficiently. The lesson guides you through implementation, highlighting key steps, time, and space complexity considerations.

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Statement
Solution
Time complexity
Space complexity

Statement

Imagine standing at a distance, viewing the skyline of a city. The skyline is the shape formed by all the buildings in the city when viewed together. Your task is to determine the shape of this skyline, given all the buildings’ position and height. Each building is represented by three values in the array buildings, where $buildings[i] = [left_i,~right_i,~ height_i]$ :

left_i is the $x$ -coordinate where the $i^{th}$ building starts.
right_i is the $x$ ...