One line Drawing

One line Drawing

Simple
English FR RU

“The line that describes the beautiful is elliptical. It has simplicity and constant change. It cannot be described by a compass, and it changes direction at every one of its points.”

Rudolf Arnheim

Leonardo da Vinci, Raphael, Michelangelo, Albrecht Dürer, M.C. Escher, Hans Holbein, Paul Klee, LeRoy Neiman. All of these famous artists were left handed.

Our Robots have been spending some time researching the great artists from the Human civilization and would like to learn some of the fundamentals of art. For their first lesson, they need to learn to control their left hand-manipulators well enough to make smooth motions. For this exercise,...

You should find a path in order to draw the figure. You can pass through each segment only once and are not allowed to lift the pen. The result must be represented as a sequence of points (tuples with coordinates) in the order of how the pen moves to create the drawing. The path may be started and ended at any point. If it's impossible to draw a figure then return an empty sequence. Let's look at some examples:

figures figures

Example 1: the figure is represented as {(1,2,1,5),(1,2,7,2),(1,5,4,7),(4,7,7,5)} and can be two path - ((7,2),(1,2),(1,5),(4,7),(7,5)) or ((7,5),(4,7),(1,5),(1,2),(7,2)).
Example 2: the figure {(1,2,1,5),(1,2,7,2),(1,5,4,7),(4,7,7,5),(7,5,7,2),(1,5,7,2),(7,5,1,2)} can not be drawn with the given rules, so the result is an empty list or tuple.
Example 3: it's like fig.2 but with one more segment (1,5,7,5) and can be drawn several ways. One of them ((7,2),(1,2),(1,5),(4,7),(7,5),(7,2),(1,5),(7,5),(1,2)).

Input: Figure segments as a set of tuples with 4 integers each.

Output: The path as a list or tuple of tuples with 2 integers each.

Example:

draw({(1,2,1,5),(1,2,7,2),(1,5,4,7),(4,7,7,5)}) == ((7,2),(1,2),(1,5),(4,7),(7,5))
draw({(1,2,1,5),(1,2,7,2),(1,5,4,7),(4,7,7,5),(7,5,7,2),(1,5,7,2),(7,5,1,2)}) == []
draw({(1,2,1,5),(1,2,7,2),(1,5,4,7),(4,7,7,5),(7,5,7,2),(1,5,7,2),(7,5,1,2),(1,5,7,5)}) == ((7,2),(1,2),(1,5),(4,7),(7,5),(7,2),(1,5),(7,5),(1,2))

    

How it is used: This mission illustrates the basics of computer generated vector graphics. The same principles may also be applied to AI pathfinding and topological work.

Precondition:
0 < len(segments) < 30
all(all(0 < x < 100 for x in s) for s in segments)

You should be an authorized user in order to see the full description and start solving this mission.
45
Settings
Code:
Other:
Invalid hot key. Each hot key should be unique and valid
Hot keys:
CheckiO Extensions

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.

Pair Programming (Beta-version)

Welcome to Pair Programming! Engage in real-time collaboration on coding projects by starting a session and sharing the provided unique URL with friends or colleagues. This feature is perfect for joint project development, debugging, or learning new skills together. Simply click 'Start Session' to begin your collaborative coding journey!

Waiting for Pair Programming to start...

You are trying to join a pair programming session that has not started yet.

Please wait for the session creator to join.

Waiting for Pair Programming to reconnect...

It looks like the creator of the pair programming session closed the editor window.

It might happen accidentally, so that you can wait for reconnection.

×
 
 
<< <
> >>
exec show

Whats Next?

Free accounts will see Best CheckiO solutions with some delay.
Best Solutions will be opened in a moment
Become Awesome and Don't wait
The next stage is ""
Will be activated in
View More Solutions Random Review Solutions Go to the next mission