
The Tower

There were several small cubes with the multi-colored sides laying around the cylinder which inclosed the Hypercube. It’s highly possible that you need to use them somehow to remove the force field.
Your task is to return the maximum possible height of the tower built from the cubes in such a way that each of four its side sides are of the same color (4 sides - 4 colors, each side has its own color).
Each cube is described by a string of 6 letters in capital Latin characters which represent the color of the respective side (A — Azure, B — Blue, C — Cyan, G — Green, O — Orange, R — Red, S — Scarlet, V — Violet, W — White, Y — Yellow).
The sides are numbered in the following order: front, right, left, back, top, bottom. A cube doesn’t have two sides of the same color.
You may rotate each cube as you wish to build the tower.

Input: Array of the cubes descriptions.
Output: Maximum height of the tower.
Example:
tower(['GYVABW', 'AOCGYV', 'CABVGO', 'OVYWGA']) == 3 tower(['ABCGYW', 'CAYRGO', 'OCYWBA', 'ACYVBR', 'GYVABW']) == 1
How it is used: For the geometry analysis.
Precondition
:
2 <= number of cubes <= 10
CheckiO Extensions allow you to use local files to solve missions. More info in a blog post.
In order to install CheckiO client you'll need installed Python (version at least 3.8)
Install CheckiO Client first:
pip3 install checkio_client
Configure your tool
checkio --domain=py config --key=
Sync solutions into your local folder
checkio sync
(in beta testing) Launch local server so your browser can use it and sync solution between local file end extension on the fly. (doesn't work for safari)
checkio serv -d
Alternatevly, you can install Chrome extension or FF addon
checkio install-plugin
checkio install-plugin --ff
checkio install-plugin --chromium
Read more here about other functionality that the checkio client provides. Feel free to submit an issue in case of any difficulties.