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### Re^6: Generating all 5-card hands

by thor (Priest)
 on May 18, 2005 at 18:26 UTC ( #458371=note: print w/replies, xml ) Need Help??

in reply to Re^5: Generating all 5-card hands
in thread Generating all 5-card hands

I'm attempting to prove that all hands that have a five have at least two points. That's why suit doesn't matter. Suppose that I had a hand with a 5 whose only points were a flush. Now, change the suit of one of the cards. Blamo! No more points. I maintain that such a hand does not exist. I have written the program that I intended to write (I'll try to post it once I've cleaned it up a bit), and when considering the cards without considering their suit, the minimum score was two points. You're right about your bullet points though...and we've tried to use them in a more elegant "classical" proof. :)

thor

Feel the white light, the light within
Be your own disciple, fan the sparks of will
For all of us waiting, your kingdom will come

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Re^7: Generating all 5-card hands
by Limbic~Region (Chancellor) on May 18, 2005 at 20:37 UTC
thor,
I am not disputing that it can be done by reducing the problem set. I was arguing that you seemed to not want to do that in your original post. Now that I have gotten out of the 3 hour long meeting it took about 3 seconds to generat a candidate list and about 1 minute to eleminate the candidates. Indeed, every hand in cribbage with a 5 has at least 2 points. See Re^7: Generating all 5-card hands for details.

Cheers - L~R

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