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Some Like It Hot


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14 replies to this topic

#1 plainglazed

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Posted 21 June 2012 - 11:37 PM

The final flight of the Arctic Circle of Logician's return home was finally uneventful. Warm thoughts as they neared Miami International Airport inspired one last quick challenge from one of the few logicians not asleep: "Let's define the hierarchy of suits as Diamonds < Clubs < Hearts < Spades < Diamonds and that of the ranks as Ace < 2 < 3 ... < Queen < King < Ace. I'll pick a card at random (suit and rank) and you must guess it. If your guess is either correct or one greater or less than my card in suit or rank correct in suit and one greater or less in rank or correct in rank and one greater or less in suit, I'll respond 'Hot' otherwise I'll say, 'Cold'. What is the fewest number of guesses that guarantees you can determine my card?"

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#2 Yoruichi-san

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Posted 22 June 2012 - 03:32 AM

Spoiler for If I'm reading the problem correctly...

Edited by Yoruichi-san, 22 June 2012 - 03:33 AM.

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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.

#3 plainglazed

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Posted 22 June 2012 - 10:43 AM

yeah, looks like you are reading the problem correctly and got that puzzle correct. gonna edit the OP to hopefully correctly describe the puzzle i had intended.
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#4 Yoruichi-san

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Posted 22 June 2012 - 01:27 PM

yeah, looks like you are reading the problem correctly and got that puzzle correct. gonna edit the OP to hopefully correctly describe the puzzle i had intended.


Yeah...that's what I originally thought the problem was...until I read the OP again..

Spoiler for Using a spoiler for good measure...


And thank you for making the suit order almost like bridge, but not quite...just to make it confusing for bridge players *cough*
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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.

#5 plainglazed

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Posted 22 June 2012 - 01:53 PM

the edit does make a little better explanation as to why the "looping" - especially of the suits. when i was working this puzzle out, had been doing C<D<H<S but when i added the looping concept thought for some reason the colors should alternate. in any event, doubt this one will trump you.
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#6 CaptainEd

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Posted 22 June 2012 - 03:30 PM

Spoiler for This works, but I'm not proud

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#7 CaptainEd

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Posted 22 June 2012 - 04:23 PM

Spoiler for Wasn't playing with a full deck...but now I'm all here

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#8 Yoruichi-san

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Posted 22 June 2012 - 05:17 PM

Yeah, my method was slightly less elegant, but yielded the same result for max.

Spoiler for Climbing staircases...

Edited by Yoruichi-san, 22 June 2012 - 05:19 PM.

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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.

#9 CaptainEd

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Posted 22 June 2012 - 06:24 PM

Now that Y-san has the same max, I feel more confidence. Arigatoo gozaimasu!
I admire that you were able to get a larger number of full crosses early, so your Mean Time To First Hot is lower by a fraction. Now I see that, if we ignore the geometry, and just get to grab 5 cards each time, it would still take 11 tests to be sure of getting a Hot, so our taking 13 doesn't feel all so wasteful.
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#10 plainglazed

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Posted 22 June 2012 - 06:52 PM

hey hey you two - think you can know after fewer guesses.
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