Family Gifts
Every Christmas in my family, each of us gives a present to only one other person. To organize who should offer a gift to whom (I call it the chain of presents), we introduced a few rules:
- There should be a single chain where every person in the family is present,
- Couples should not give to one another,
- Every person should give a gift to a different person than they had in previous years
So the problem would be to find and list the longest list of chains of presents. For example in a family {a,b,c,d} with couples=({a,b},{c,d}): [[a,c,b,d],[a,d,b,c]].
You are given a set of family member names and a list of couples in this family. Find the maximum number of chains with all family members. Gift chains should be represented as a list of names where i -th gives a present to i+1 -th and the last person in the list to the first.
Input: Names of family members as a set of strings. Couple list as a tuple of sets with two strings in each.
Output: The longest list of gift chains as a list/tuple of lists/tuples with strings.
Example:
How it is used: This is a combinatorial task that can be useful for scheduling.
Precondition:
len(couples) <= 7
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.
