The skyline of a city shows the horizon view of its buildings. In this problem we are dealing with rectilinear skylines such us the ones shown in the figure. Each skyline can be represented by a vector of points [(x_{0},y_{0}),…,(x_{n−1},y_{n−1})] with the following properties:

An empty skyline is represented by an empty vector. A nonempty skyline must have at least two points.
The next figure shows three skylines that are represented by the red points. The topleft skyline is represented by the vector of points:
[(1,2), (4,4), (6,1), (8,0), (10,3), (12,1), (14,0)] 
This problem consists of generating the skyline obtained by the superposition of a sequence of skylines. In the figure, the skyline at the right is obtained by the superposition of the two skylines at the left.
Input
Input will start with the number s of skylines to process, with s≥ 2. Then, each skyline will be represented by its number of points n and its set of points x_{0} y_{0} x_{1} y_{1} … x_{n−1} y_{n−1} (fullfilling the previous properties). All the values are integers.
Output
The output will consist of a line, representing the skyline obtained after the superposition of the given skylines.
Observation
Download the code.cc file: you only have to implement the skyline() function and reuse the skyline_superposition() function from problem P76893.
Input
2 7 1 2 4 4 6 1 8 0 10 3 12 1 14 0 5 2 3 6 2 9 0 11 4 13 0
Output
9 1 2 2 3 4 4 6 2 9 0 10 3 11 4 13 1 14 0
Input
4 7 1 2 4 4 6 1 8 0 10 3 12 1 14 0 5 2 3 6 2 9 0 11 4 13 0 2 0 8 10 0 4 3 15 8 4 10 2 12 0
Output
7 0 8 3 15 8 8 10 3 11 4 13 1 14 0
Input
4 2 1 1 4 0 2 2 2 3 0 2 5 2 6 0 2 5 1 7 0
Output
7 1 1 2 2 3 1 4 0 5 2 6 1 7 0