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An "Oldie" with a twist of lemon


Best Answer Prime, 22 February 2013 - 02:08 AM

I have a cold, my head is stuffed, I feel like an Ogre. I am not figuring out the differential equations to deny hungry Ogre his meal. However, here is some food for thought for those Brain Denizens who took the maiden's side. Indeed, she could go slower. Mayhap, someone will try carrying out the required calculations, make an error and give the maiden a wrong advice.

Spoiler for maiden voyage

To make the contest fair, the maiden should have only so much time for rowing. Having exhausted it, she falls asleep. Whereafter, the Ogre should start blowing at the boat pushing it towards the shore...

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49 replies to this topic

#11 Yoruichi-san

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Posted 21 February 2013 - 05:47 AM

I think I need a clarification on "best-strategy pursuit".  Does this mean the ogre will move towards/wait at the point in the circle that is closest to the maiden's current position?  Or does it mean it will try to 'follow' the maiden based on her current trajectory?  


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Women are definitely stronger. We are [Fe]males, after all...

Some of what makes me me is real, some of what makes me me is imaginary...I guess I'm just complex. ;P

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#12 bonanova

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Posted 21 February 2013 - 06:12 AM

I think I need a clarification on "best-strategy pursuit".  Does this mean the ogre will move towards/wait at the point in the circle that is closest to the maiden's current position?  Or does it mean it will try to 'follow' the maiden based on her current trajectory?  

 

The ogre will try to be on the shore where the boat lands before the boat gets there. It is a game. Whoever gets to that point first wins. The rower and ogre each act in their own best interest. The rest is part of the puzzle. The rower can row anywhere on the lake and the ogre can run anywhere on the shore. Assume each can turn on a dime [infinite acceleration, maximum speed.]

 

Best strategy pursuit means to imply that the ogre will not lie down and take a nap.

 

And the specific question now is Can the rower overcome a ogre speed ratio of greater than (1 + pi)?.


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#13 Yoruichi-san

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Posted 21 February 2013 - 06:29 AM

Right, it is a game...and when it comes to games there's the whole trying to outguess your opponent part... :wacko:

 

Spoiler for A tricksy maiden


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Women are definitely stronger. We are [Fe]males, after all...

Some of what makes me me is real, some of what makes me me is imaginary...I guess I'm just complex. ;P

<3 BBC's Sherlock, the series and the man. "Smart is the new sexy."

Chromatic Witch links now on my 'About Me' page! Episode 3 is finally here!

When life hands me lemons, I make invisible ink.

#14 bonanova

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Posted 21 February 2013 - 06:39 AM

Wow ... in puzzles as in life.  :wacko: 


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#15 Prime

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Posted 21 February 2013 - 07:36 AM

I was developing a winning strategy for the Ogre based on the inertia of the boat. But then Bonanova added an infinite acceleration.

Spoiler for more geometry for maiden

Edited by Prime, 21 February 2013 - 07:41 AM.

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Past prime, actually.


#16 bonanova

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Posted 21 February 2013 - 09:01 AM

I was developing a winning strategy for the Ogre based on the inertia of the boat. But then Bonanova added an infinite acceleration.

Spoiler for more geometry for maiden


This looks promising. How much advantage might be gained?
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#17 CaptainEd

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Posted 21 February 2013 - 04:01 PM

Actually, you folks have convinced me that

Spoiler for quick Denizens outwit slow Captain!


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#18 TimeSpaceLightForce

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Posted 21 February 2013 - 05:50 PM

Spoiler for


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#19 CaptainEd

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Posted 21 February 2013 - 07:42 PM

Spoiler for preliminary results


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#20 bonanova

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Posted 21 February 2013 - 08:11 PM

Spoiler for preliminary results

 

Good Job, Cap'n, you've lowered the bar for M, giving her time for a little
touch-up for the reporters sure to be at the shore covering the story
for CNN.

 

Can you go beyond 5%?


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- Bertrand Russell




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