#### Жишээ тэстүүд

##### Оролт
8 19
2 3 2 4 2 5 3 3 3 5 4 3 4 5 4 6 5 2 5 3 5 6 6 2 6 3 6 4 6 5 6 6 6 7 7 6 7 7
5 8
2 2 2 3 2 4 3 2 3 4 4 2 4 3 4 4
0 0

##### Гаралт
4
2 3
2 4
6 6
5 2
4
2 2
2 3
3 3
3 2


## Тэмдэглэл

It is guaranteed that the solution always exists and is unique. It is guaranteed that in the correct solution the coordinates of the polygon vertices are between 1 and N - 1. A vertex (x1, y1) is lexicographically smaller than vertex (x2, y2) if x1 < x2 or .