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Is there a pattern? (docs.google.com)

submitted 1 year ago by favrion to c/math

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I am trying to calculate the number of winning Solitaire games based on a paper by Rob Reijtenbach, linked here for your reference: https://theses.liacs.nl/2169. I made a chart, linked in the above URL, which depicts his calculations. I am trying to find the winning percentage based on seven tableau columns, not just three, and out of 52 cards, not just 12. I don't know if this is possible since he used optimizations to not blow up his supercomputer, but I figured that I can ask. Thank you.

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[–] favrion 0 points 1 year ago (1 children)

I understand, but looking at my chart, is there a pattern to be found within the numbers? For example, is there a function relating the number of columns to the possible games (e.g. 2/165, 3/665280) or number of cards to the possible games (e.g. 12/165, 12/665280), et cetera?) Essentially all I am looking for is a function relating two of these variables.

[–] Artisian 2 points 1 year ago (2 children)

Ah. I see. For this, someone will need to dive into what 'after optimizations' means I think. I don't think the 6 examples are enough to read it off, a quick search on OEIS for the 3 cards per suit cases finds nothing.

[–] [email protected] 1 points 1 year ago

Accirding to the link to the thesis, "optimization" simply means counting games trivially related by permutation as the same game

[–] favrion 1 points 1 year ago

I've been looking for this website but didn't remember what it was called. Thank you for that at least. And yes, this is probably a long shot to find a function for these numbers because there does seem to be a pattern, but every website that I've tried cannot seem to find a graph for them.