131. The Skyline Problem

Posted 2021-02-04 lawrenceseattle

Given N buildings in a x-axis，each building is a rectangle and can be represented by a triple (start, end, height)，where start is the start position on x-axis, end is the end position on x-axis and height is the height of the building. Buildings may overlap if you see them from far away，find the outline of them。

An outline can be represented by a triple, (start, end, height), where start is the start position on x-axis of the outline, end is the end position on x-axis and height is the height of the outline.

Building Outline

Example
Given 3 buildings：

[
  [1, 3, 3],
  [2, 4, 4],
  [5, 6, 1]
]
The outlines are：

[
  [1, 2, 3],
  [2, 4, 4],
  [5, 6, 1]
]
Notice
Please merge the adjacent outlines if they have the same height and make sure different outlines cant overlap on x-axis.

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