Given a list of names, randomly select one name for another that is not:
- The same person who has that person (no direct exchange)
- In the list of exclusions for that name
Exclusions are usually partners or any name that would result in the same match as the previous year.
It works by selecting a random name given the constraints above, and going through the list until everyone has a name. Sometimes due to the random nature, there may be no names left for a person (all the names left are in that person's exlusion list). When that happens it starts over. So, it could get caught in an infinite loop if there are no possible solutions.
The original (in docs/namedraw.py) is a prototype I wrote in Pythonista, so the names (changed to protect the innocent) are hard-coded.
- Generate all possible solutions then choose a random solution.
- Record the attempts and check the record so the same attempt is not made twice.
I'm not sure, but I think the number of possible solutions is the factorial of the number of names (minus exclusions). So, that could be a lot.
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