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Analyze this: A simple card game


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13 replies to this topic

#11 CaptainEd

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Posted 14 August 2012 - 06:48 PM

I'm clueless. I was hoping to see some sort of kernel for an induction step--if I remove this card, I get the previously solved problem for N-1. That's one reason I like your observation about a most expensive starting point- it consists of (N-1) and (1) bracketing the fixed point from the previous round. I don't see how that helps, but it is at least a simple pattern such as you like to find in induction...
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#12 bonanova

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Posted 17 August 2012 - 05:13 AM

Has anyone noticed that

Spoiler for there is a unique


Spoiler for you can get the most difficult starting position

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#13 kbrdsk

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Posted 17 August 2012 - 05:05 PM

Spoiler for might be helpful...

Edited by kbrdsk, 17 August 2012 - 05:10 PM.

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#14 Rob_Gandy

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Posted 31 August 2012 - 12:08 AM

Yay for over analyzing!
Spoiler for How to make the longest chain (maybe)

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