Daily Coding Problem: Problem #1613 [Hard]

Good morning! Here's your coding interview problem for today.

This problem was asked by VMware.

The skyline of a city is composed of several buildings of various widths and heights, possibly overlapping one another when viewed from a distance. We can represent the buildings using an array of (left, right, height) tuples, which tell us where on an imaginary x-axis a building begins and ends, and how tall it is. The skyline itself can be described by a list of (x, height) tuples, giving the locations at which the height visible to a distant observer changes, and each new height.

Given an array of buildings as described above, create a function that returns the skyline.

For example, suppose the input consists of the buildings [(0, 15, 3), (4, 11, 5), (19, 23, 4)]. In aggregate, these buildings would create a skyline that looks like the one below.

     ______  
    |      |        ___
 ___|      |___    |   | 
|   |   B  |   |   | C |
| A |      | A |   |   |
|   |      |   |   |   |
------------------------

As a result, your function should return [(0, 3), (4, 5), (11, 3), (15, 0), (19, 4), (23, 0)].

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