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 Forum index » Diversions » Perplex City Puzzle Cards » PXC: Silver Puzzle Cards
[LOCKED] [Puzzle] #243 Silver - Shuffled
Moderators: AnthraX101, bagsbee, BrianEnigma, cassandra, Giskard, lhall, Mikeyj, myf, poozle, RobMagus, xnbomb
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Guin
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Joined: 11 Jan 2006
Posts: 400
Location: Antartica

UKver2.0 wrote:
Have we thrown out the "If entropy wins..." stuff or are you just asking about texts on the cards? Cause the heat letters might just end up coming back to relevancy.


Note the word "other"
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PostPosted: Sat Mar 11, 2006 4:13 pm
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Jakeo
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Joined: 30 Aug 2005
Posts: 159
Location: Edinburgh

oliverkeers13 wrote:
Are you certain that it would be 54!? I can't really believe that it would, as it would mean that it takes into account the possibility that there is only one card.


I hope the following explanation helps explain why the value is correct. I'm going to try and avoid computing and technical terms, and I apologise if I over simplify it in the process.

Consider that you have a row of 54 boxes, all empty. You also have a deck of cards (the actual order is irrelevant). Your goal is to put one card in each box.

When you place the first card, you have 54 possible choices (all boxes are available).

When you come to place the second card, every choice excluding the one you previously filled is still available. This means you have 53 possible options. Having placed the second card, there are 54*53 possible ways for the boxes to have been filled.

As you repeat for each card, you are reducing the number of available choices you have for the next card. As you approach the end of your deck you are faced with almost no choice whatsoever. By the time you come to the last 2 cards, there are only boxes left. With 2 cards and 2 boxes, the number of variations that exists is 2*1. (This is where I think you are unclear)

Combining the two points above means that the total number of variations is

54*53*52...*2*1 = 54!

This is the special case of permutation without repitition where n=r (http://en.wikipedia.org/wiki/Combinatorics#Permutation_without_repetition)

I believe your uncertainty lies in misgrasping the reasoning behind the low numbers being used. The fact that the seqence is multiplying in the low numbers does not imply that fewer cards are used, only that there are fewer choices for a location. I hope that explains things for you, please feel free to ask questions or PM if I was unclear.

PostPosted: Sat Mar 11, 2006 8:59 pm
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EvilGenius
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Joined: 04 Mar 2006
Posts: 227
Location: Vancouver

What about this?

"If entropy wins . . . " - entropy causes cooling, coolness will not remove the heat-sensitive blocks of text, so looking "outward" (at the heat-sensitive text on either side) "should leave you cold" (on the wrong track), if entropy wins. To my mind that seems to be saying that we need heat to deal with this puzzle (already confirmed) and that the heat-sensitive blocks are a distraction, something in which to conceal the really useful information. If entropy doesn't win (eg we use heat) , outward looks will not leave us cold as the masking blocks will be removed. Any small error in a Solitaire cipher will render the message non-recoverable (as I'm sure everyone already knows). If that's right, perhaps we can discard those block of text entirely. I think we have already solved the clue ("if entropy wins . . .) and just need to parameterize the Cipher key, etc.

Anyway, just two more cents into the discussion.

PostPosted: Sun Mar 12, 2006 10:02 pm
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Magma
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Joined: 10 Jan 2006
Posts: 119

Re: What about this?

EvilGenius wrote:
entropy causes cooling


I'm reasonably sure that the opposite is true. An increase in temperature results in an increase in entropy. Entropy is a measure of disorder, and heating things makes them more disordered (most easily seen when a crystalline solid melts, or a liquid evaporates).

PostPosted: Mon Mar 13, 2006 3:07 pm
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locqust
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Joined: 14 Oct 2005
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Location: Gloucestershire UK

Entropy is effectively the death of heat or where work cannot continue due to lack of energy.

There are 2 types of entropy basically. Magma and Evilgenius are both right lol
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PostPosted: Mon Mar 13, 2006 3:11 pm
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BluesScale
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Joined: 06 Mar 2006
Posts: 14

From Wikipedia:

Entropy is a measure of the amount of energy in a physical system that cannot be used to do work. In simpler terms, it is also a measure of the disorder and randomness present in a system.

Heat is energy in a system that can not be used to do work. So, an increase in entropy is an increase in temperature. Also, things become less ordered at high temperatures.

Hope this helps

Blues

PostPosted: Mon Mar 13, 2006 3:18 pm
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EvilGenius
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Joined: 04 Mar 2006
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Location: Vancouver

There are, indeed, two ways to talk about entropy. Think of the expanding universe. Without new sources of heat the universe will tend toward increasing disorder (entropy increases) and cool at the same time.
What you say about adding heat encreases entropy only makes sense in a non-closed environment - and I suppose the card heating is an open system from that way of thinking. Entropy as a topic is kinda confusing depending on what perspective one has.

I think I am guilty of trying to make the statement fit the facts as we know them - it was worth shot Wink

PostPosted: Tue Mar 14, 2006 1:17 am
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AngusA
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Joined: 02 Jan 2006
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Location: London, UK

Alternatively, the entropy he is referring to could be information entropy (i.e. caused by shuffling).

http://en.wikipedia.org/wiki/Data_compression/entropy

PostPosted: Tue Mar 14, 2006 6:41 am
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Guin
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Joined: 11 Jan 2006
Posts: 400
Location: Antartica

this entropy thing is really Censored my head up lol

the text message told us the code has everything we need (or words to that effect) - so this could be the message and the deck order. Depending how we use entropy (heat, cold etc) this could be the order or the text at the start or the fact that certain letters dissapear. The text message says if you are feeling cold you are over sensitive (or words to that effect) - is this a hint that it is heat - why would you be overly sensitive if you were cold?

so which form of entropy?.......

What to do now..............

Bang Head
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PostPosted: Tue Mar 14, 2006 7:03 am
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jamesays?
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Hello everyone,

another newbie joins the fray! I've just finished reading through all the posts here so you'll have to excuse me while I get my breath back.

I'm sure someone must have tried this, but I can't find any reference to it so far:

Starting with the ace of spades on the face of the pack (i.e. you're looking at it), the new deck order for a lot of packs of cards nowadays is

Ace to King of Spades
Ace to King of Diamonds
King to Ace of Clubs
King to Ace of Hearts
then the two Jokers.

If it has already been mentioned....trout away, I guess I'd deserve it.

PostPosted: Tue Mar 14, 2006 11:48 am
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doomsdayred
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Joined: 02 Nov 2005
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Location: Nottingham, UK

jamesays? wrote:

Starting with the ace of spades on the face of the pack (i.e. you're looking at it), the new deck order for a lot of packs of cards nowadays is

Ace to King of Spades
Ace to King of Diamonds
King to Ace of Clubs
King to Ace of Hearts
then the two Jokers.

If it has already been mentioned....trout away, I guess I'd deserve it.


Hi Jamesays?, welcome to the carnage. Personally I don't believe in trouting it stops people posting again so I won't be slapping you around the chops with wet fish any time soon.

The deck order has been discussed already and general consensus seems to be that the deck is in new order. I personally am working on the actual order of the deck pictured as was mentioned in an earlier post but other people are trying to work from the standard deck order mentioned in the crytonomicon.

All fruitless so far but the extra help from your good self will undoubtedly be invaluable.
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PostPosted: Tue Mar 14, 2006 1:11 pm
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doomsdayred
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doomsdayred wrote:

When keying the deck each card has a value from 1 through to 53 (both jokers have the same value.)
The value of each card is determined by the deck order. However, during the keying stage I couldn't decide whether to count the deck by face value (Ace = 1, King = 13 etc) or by cipher value (Ace of Spades = 13, Ace of Hearts = 26 etc)



CORRECTION
Cards should be counted in cipher value order i.e. Ace of Spades = 13, Ace of Hearts = 26, Jokers = 53 etc

I'm close I can feel it!
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PostPosted: Wed Mar 15, 2006 10:26 am
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bertyb
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On the Bruce Java page it keys the 2 jokers as 53 and 54.
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Intriguing!!

PostPosted: Wed Mar 15, 2006 10:31 am
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doomsdayred
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bertyb wrote:
On the Bruce Java page it keys the 2 jokers as 53 and 54.


but on Schneirs page http://www.schneier.com/solitaire.html it says the following

"Perform a count cut. Look at the bottom card. Convert it into a number from 1 through 53. (Use the bridge order of suits: clubs, diamonds, hearts, and spades. If the card is a club, it is the value shown. If the card is a diamond, it is the value plus 13. If it is a heart, it is the value plus 26. If it is a spade, it is the value plus 39. Either joker is a 53.) Count down from the top card that number. (I generally count 1 through 13 again and again if I have to; it's easier than counting to high numbers sequentially... "
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PostPosted: Wed Mar 15, 2006 10:38 am
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bertyb
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Joined: 28 Nov 2005
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Location: London

I will have to go and repeat all the work I did on there then with 2 53's now, rather than 53 and 54........damn card.
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Intriguing!!

PostPosted: Wed Mar 15, 2006 10:42 am
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