Escher Symmetry
M. C. Escher was a Dutch graphic artist who created incredible illustrations which were inspired by mathematics. For example, he filled the canvas with self-similar objects, whose contours fit into themselves, creating very impressive geometric symmetries.
See a very simple example of this idea in the following figure, which shows an object that is an orthogonal profile defined by a sequence of natural numbers representing the sequence of heights. We can take a copy of the object, rotate it 180 degrees and fit it perfectly into the original object, forming a rectangle.
In more general terms, if a sequence of N natural numbers representing the sequence of heights is A1, A2, A3, ..., AN-2, AN-1, AN, the profile defined will be called an Escher profile if we have A1+AN equal to A2+AN-1 equal to A3+AN-2, and so on. In this problem, you will be given the sequence of heights that define the profile and your program must decide whether the profile is Escher or not.
Input: List of integers (int)
Output: Boolean value (bool).
Examples:
assert is_figure([1, 2, 1, 2]) == True assert is_figure([1, 3, 2, 1, 3]) == True assert is_figure([1, 2, 2, 1]) == False assert is_figure([4, 4, 4, 4, 4, 4, 4, 4, 4]) == True
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.
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