25points

English:

Given eight points in three-dimensional space, determine whether they are the eight vertices of a cube.

note: In geometry, a cube is a regular hexahedron composed of 6 squares

Chinese:
给出三维空间的八个点，判断它们是否是一个立方体的八个顶点。
PS: 在几何学中，立方体是由6个正方形组成的正六面体

There are 8 lines in total, each line is three integers x,y,z separated by spaces (-105 <= x,y,z <= 105). The title ensures that the eight points of a set of data do not overlap with each other.

Note that each set of data is independent of each other and there is no connection.

一共8行，每行为以空格分隔的三个整数x,y,z(-10⁵ <= x,y,z <= 10⁵)。题目保证一组数据的八个点互相不重合。 

注意每组数据之间相互独立，没有联系。

If these eight points can form a cube, output YES, otherwise output NO.

如果这八个点可以构成一个立方体，输出YES，否则输出NO。