## Editorial for TLE '16 Contest 4 P3 - Cubes

Remember to use this editorial

**only**when stuck, and**not to copy-paste code from it**. Please be respectful to the problem author and editorialist.**Submitting an official solution before solving the problem yourself is a bannable offence.**Author:

To solve this problem, it is necessary to choose all possible locations of the corners. This can be done with a permutation.

To check if a position is valid, there should be beams in the proper locations. Any remaining beams do not matter and can be thrown away.

**Time complexity:** where is the number of corners and is the number of beams in the cubic frame.

One common mistake is just counting the number of beams that connect to a corner. For tetrahedra, there are corners and beams, and each corner is connected to beams. It is not possible to create a cube from tetrahedra.

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