Network Loops
A routing loop is a common problem with computer networks. Loops are virtually the same as cycles in graphs. For this mission, we’ll learn how to find these cycles in a network.
A cycle consists of a sequence of nodes starting and ending on the same node without repetition and with each consecutive node in the sequence connecting to each other in the network. The cycle length is the quantity of nodes within the cycle. The length of cycle will always be greater than 2. You should find the largest cycle in a given network, determine if we have multiple equal sized loops, then choose any one of them.
The nodes in the network are numbered and each connection is undirected. The length of the edges are not substantial, so consider them to be of equal length. Some components of a network can be disconnected.
The network is represented as a sequence of connections. Each connection is described by the two two numbers representing the connected nodes. The result should be given as a sequence of numbers which start and end with the same number. If there is no cycle, then return an empty sequence.
For example this image will be described as: ((1,2),(2,3),(3,4),(4,5),(5,7),(7,6),(8,5),(8,4),(8,1),(1,5),(2,4)). And the biggest loop have 6 nodes. It can be described as [1,2,3,4,5,8,1] (or [3,4,5,8,1,2,3]).
Input: Connection information as a tuple of tuples of integers.
Output: The largest cycle, or any one of the largest cycles as a list/tuple of integers.
Example:
How it is used: Cycle detection is important for computer networking and may even be applied in the detection of deadlocks in concurrent programming.
Precondition:
all([(n2, n1) in connections for n1, n2 in connections)
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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