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Author Topic: Puzzle
Gosu
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Ok this is a very difficult problem. Basically you're given 5 dice, and somehow, you have to figure out how many moves it takes to get to "checkmate". You don't even know what the condition is, but you can see the answer, and then can find an algorithm to determine checkmate.

Click Here

Here's the things that gets me: there exists a completely nonmathematical, or at least not very mathematical approach to solving this problem, and it has to do with the title "Checkmate". And please don't cheat. There is a way to do so, but I won't even say how.

[ March 20, 2005, 02:38 PM: Message edited by: Gosu ]

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Teshi
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We had a variation on this theme a while ago, so I already kind of knew what I was looking for...

But I got it [Smile] .

Edit: Neeeeeeeever mind. I didn't.

[ March 20, 2005, 03:13 PM: Message edited by: Teshi ]

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MidnightBlue
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The first one I rolled had the same answer as Petals around the Rose, but none of the others have. I don't know the answer yet.
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rivka
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If you scroll down, it says it's based on PAtR.

*rolls again*

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kaioshin00
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Talk about confusing source code O_O
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fugu13
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You'll notice a pattern, kai, if you look hard enough [Wink]
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Teshi
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I just don't see a pattern that works. I see patterns, but not THE pattern.
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fugu13
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Well, I know how to find the answer, but I don't know if its the pattern they were looking for as its a bit too thoughtful.

These things only really work if the pattern makes someone go "doh!" Otherwise its another rousing game of "guess the mathematical algorithm!"

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Dagonee
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There's certainly nothing as elegant as the "Petal around the Rose" solution to this. I've got a method that's worked for about 30 straight, and I've confirmed it with a few selected dice combinations, but it doesn't mean anything.

Dagonee

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MidnightBlue
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Is the title as important here as it is in PAtR?
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Teshi
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So, Dag, it's more complicated than PatR? (Which, by the way , I did really quickly.)
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Dagonee
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OK, after examining the source code, my algorithm works, but there's at least one part that's just totally arbitrary. (The part done after the final numbers are selected.)
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rivka
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It claims:
quote:
This game is based on the "Petals Around the Rose" dice game.
Both games are easy in the sense that once you know the "secret", you can easily determine the answer in seconds.
After hearing of this game, I was able to figure out the secret immediately.
Just remember, as in "Petals Around the Rose", the name of the game is important.
Note however, you do not actually need to know anything about chess to figure out the secret.
Good Luck! (some of you will need it, lol)


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Teshi
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My brain is fried.
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Dagonee
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quote:
So, Dag, it's more complicated than PatR? (Which, by the way , I did really quickly.)
I don't think I've "solved" it. But yes, it's quite a bit more complicated to calculate the solution for each combination, at least to me.
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rivka
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Any chance that's deliberate? That is, that the person who programmed it came up with a tedious way to have it solve for the "obvious" answer, just to throw off people who read the source code?
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Teshi
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[Cry]
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rivka
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Useful fact: You can manipulate it to tell you the answer of any die-roll combo you like. If you input numbers by hand and have it display answer, it will.

Of course, this has confirmed that my solution is wrong, and I keep getting answers that make even less sense than the ones I was getting randomly. >_<

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Dagonee
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This was how I confirmed the important fact that allowed me to deduce a solution. The algorithm in code is a very mechanistic and wasteful way to program what I came up with. But my solution is still really an algorithm, and nothing that can be summed up in a simple sentence like PatR. [Frown]
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Teshi
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I've also being doing that, but really all I've been getting is parts of ideas, not the wholes.
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Strider
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this stupid game is driving me crazy... [Mad]
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Lyrhawn
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This is why I'm a history major and not a math major. My brain cannot handle anything more complicated than 1+1.
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kaioshin00
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Positioning matters ....

2 2 2 2 1 isn't the same as 1 2 2 2 2

Yea...

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AntiCool
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What am I missing? I don't understand what this "checkmate" thing that it's talking about is. I'm supposed to figure out how long it takes to do something that I don't know what it is?
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kaioshin00
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[Dont Know]

I don't know the answer either.

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Strider
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Well, I looked at the source code and figured out how it's done. But like Dagonee said, the last part is completely arbitrary as far as I can tell. And I have no idea how any of it relates to "checkmate".

I think this is even more frustrating than before. I can predict the outcome every time, but I don't know why I'm doing it, other than it works. Which means i need to figure out a different way to do it, the way they intended I guess.

[ March 21, 2005, 02:20 AM: Message edited by: Strider ]

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rivka
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Ok, let's look at this another way.

What does checkmate mean? It means "the king cannot escape" (so sayeth m-w).

And this is supposed to be related to PAtR.










Ok, yeah, this isn't helping. [Wall Bash]

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Strider
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yeah, but they tell you that you don't need to know anything about chess to figure it out.

So "checkmate" does not mean, checkmate in chess. but something to do with the words "check" and "mate" i'm guessing.

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Book
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Ugh. I'm so right minded (I think that's the right lobe) I have trouble figuring out which way is North. You want me to start spitting out TS Eliot, sure, I'm your guy, but ask me to add the tip in my head or, God forbid, divide up the check, and you'll see the most uncomfortable look come over my face.

So, of course, this stuff is miles beyond me.

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kaioshin00
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It's "Checkmate!"

I had a thought that the ! meant it had something to do with the factorials? Just a surmise.

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Teshi
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SPOILERS! (Not the answer, just speculation)
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The only thing that I can figure out that relates to checkmate is that if you have them set to all one, there are no more moves because the game is over.

Same goes for all of them set at the same number (or rather the first, the third and the fifth). One dot doesn't count.

[ March 21, 2005, 10:40 AM: Message edited by: Teshi ]

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Strider
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not true Teshi.

All 3s the answer is 6.

And all 5s andthe answer is 12.

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Teshi
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What I mean is:

dice one: 3
dice two: 1
dice three: 3
dice four: 1
dice five: 3

= 6

All the dots but one on the first, the third and the fifth (the one's don't count).

But, if all the dice are set to 3, the number is the same (6). For some reason, those second and fourth dice only make a difference in certain instances or at certain numbers.

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Strider
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try making the 2nd and 4th numbers larger than the 1,3,5 numbers and see if it's different. [Smile]
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Teshi
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I've done that, but my mathematical deduction just fails. Sometimes it seems to be higher, sometimes lower, depending on the number and its position.
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xnera
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The author is lurking here (or y'all are emailing comments to him) because some of your posts are appearing on the comments page.

Petals Around the Rose took me an embarrassing long time to solve. I don't have any insights on this one, yet.

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Teshi
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He's/She's lurking.

Edit:
quote:
a completely nonmathematical, or at least not very mathematical
Hello, dice-game person. Which is it? Non-mathematical, like the Petals Around the Rose game, or "not very"?

[ March 21, 2005, 12:04 PM: Message edited by: Teshi ]

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Strider
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are you sure they're lurking? Alot of those comments seemed similar to ones here, but not exactly.

And I'm sure with the number of people that have played this game, there have been many of the same type of comments.

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Teshi
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Nope, two of my exactly copied comments appear there, complete with charming editor's notes:

quote:

- We had a variation on this theme a while ago, so I already kind of knew what I was looking for... But I got it [Smile] [Editor's Note: A few minutes later this post was edited:] Edit: Neeeeeeeever mind. I didn't.[Editor's Note: LOL]

-My brain is fried.

It's highly unlikely that some other person made exactly those two comments.

[ March 21, 2005, 12:09 PM: Message edited by: Teshi ]

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Strider
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ahhh...good point.
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Teshi
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So yeah, we're clearly playing guinea pig roles here.
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TomDavidson
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You got a shout-out, Teshi. [Smile]

See, I keep punning on the name -- "checking" for "mates," and so forth -- but come up empty. We're not counting the number of pairs, or deviations from pairs, or the value of non-paired items, so I dunno. [Frown]

[ March 21, 2005, 01:01 PM: Message edited by: TomDavidson ]

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Dagonee
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POTENTIAL INFERENTIAL SPOILER FOR PETALS AROUND THE ROSE!

I kept trying to do something with "check" as in a check mark. Nothing I can find there. At this point, it's "try to find a physical explanation for this mathematical fact."

Is this how quantum physicists feel all the time?

Dagonee

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kaioshin00
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http://www.thepetersengraph.com/comments.html

quote:
Hello, dice-game person. Which is it? Non-mathematical, like the Petals Around the Rose game, or "not very"? [Editor's Note: Hello Teshi! How are you?]
[Angst]
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ketchupqueen
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Hmph. If you're going to quote Jatraqueros, you can at least have the grace to come post on the thread...
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Gosu
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What I meant was that the insight into finding out the pattern is nonmathematical, but then getting the answer probably involves a bit of math afterwards.

[ March 21, 2005, 06:02 PM: Message edited by: Gosu ]

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rivka
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[Mad]

That is NOT nice. I don't think it's polite to be culling comments for the comment page from here without permission. Some of those are mine, and I did NOT email them to anyone.

Gosu, is that YOUR game?

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fugu13
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Its almost certainly copyright infringement that doesn't fall under fair use.

We should sue.

[Wink]

Actually we could just send a copyright infringement notice to his ISP and watch the pages come down, but that would be mean.

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Strider
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yeah, and then I'd NEVER solve this stupid puzzle!
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fugu13
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Download the page and keep a local copy, its all in javascript.
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