## Search found 2115 matches

- Tue Feb 27, 2018 12:44 am UTC
- Forum: Logic Puzzles
- Topic: The Goddess, the Villagers, and the Traveler
- Replies:
**16** - Views:
**6059**

### Re: The Goddess, the Villagers, and the Traveler

In my solution, everything the villagers say is true, and they know it. It's an "if false" thing. They could say "If I am the goddess, my face is made out of cheese" and it would still be true. About contradictions, that's approximately what I'm assuming, although there's a coupl...

- Sat Feb 24, 2018 3:00 am UTC
- Forum: Logic Puzzles
- Topic: The Goddess, the Villagers, and the Traveler
- Replies:
**16** - Views:
**6059**

### Re: The Goddess, the Villagers, and the Traveler

So, I've had some ideas. The puzzle seems pretty ambiguous and so there's probably no single answer that's obviously correct, BUT I did have some thoughts, which culminate in something that could possibly pass for an answer, and doesn't involve impossible things like voluntary forgetting: Thought 1:...

- Mon Apr 24, 2017 12:49 am UTC
- Forum: Logic Puzzles
- Topic: A very fiendish one of those "figure out the answer based on logicians not knowing the answer" puzzles
- Replies:
**8** - Views:
**4039**

### Re: A very fiendish one of those "figure out the answer based on logicians not knowing the answer" puzzles

A small additional correction:

**Spoiler:**

- Mon Apr 24, 2017 12:37 am UTC
- Forum: Logic Puzzles
- Topic: A very fiendish one of those "figure out the answer based on logicians not knowing the answer" puzzles
- Replies:
**8** - Views:
**4039**

### Re: A very fiendish one of those "figure out the answer based on logicians not knowing the answer" puzzles

I do see my mistake in my reasoning: My analysis for when y=0 and y=1 is still correct. Emily's statement eliminates up to (0,1), Mike's up to (1,1), and so on. Case y=2: For Statement 1, Emily cannot eliminate anything about any (x,2). For statement 2, Mike cannot e...

- Sun Apr 23, 2017 4:04 pm UTC
- Forum: Logic Puzzles
- Topic: A very fiendish one of those "figure out the answer based on logicians not knowing the answer" puzzles
- Replies:
**8** - Views:
**4039**

### Re: A very fiendish one of those "figure out the answer based on logicians not knowing the answer" puzzles

Trying to rehabilitate the original puzzle:

**Spoiler:**

- Sun Apr 23, 2017 3:48 pm UTC
- Forum: Logic Puzzles
- Replies:
**8** - Views:
**4039**

About why the puzzle is broken: I believe the infinite sequence currently eliminates EVERY possible choice of values, although it's very complex to see why. Figuring that out is a pretty interesting puzzle in its own right. I wonder what would be a good way to make that into an explicit puzzle t...

- Sun Apr 23, 2017 2:09 pm UTC
- Forum: Logic Puzzles
- Replies:
**8** - Views:
**4039**

Not sure if this is unsolvable or just me missing something, but here's what I've got: From the conditions: y1 and y2 are two numbers that are either identical or adjacent. x1 and x2 are two nonidentical numbers whose difference is the smaller of y1 and y2, possibly plus one. As a corollary, if eit...

- Sun Apr 23, 2017 1:50 am UTC
- Forum: Logic Puzzles
- Replies:
**8** - Views:
**4039**

### A very fiendish one of those "figure out the answer based on logicians not knowing the answer" puzzles

(I just wrote this. I sure hope I did the logic right.) (EDIT: I made a couple of mistakes writing the original puzzle, but I think they are fixed now, with much thanks to Poker's feedback in the thread below. The original puzzle was: Jane, Emily, and Mike were perfect logicians. One day, Jane said,...

- Sun Apr 09, 2017 6:05 pm UTC
- Forum: Logic Puzzles
- Topic: Pirate Game - A Variation
- Replies:
**1** - Views:
**3349**

### Re: Pirate Game - A Variation

I think this is a really cool variation! I solved it as far as you did, except that I didn't realize pirate 4-C would have literally no incentive to choose any distribution over another. Intuitively, it feels like 4-C should still pick 499/501. I wonder if we can adjust the rules to make that ha...

- Mon Feb 22, 2016 12:54 am UTC
- Forum: Logic Puzzles
- Topic: Two gold nugget puzzle
- Replies:
**17** - Views:
**4808**

### Re: Two gold nugget puzzle

Most well-known lower bounds for sorting are based on comparisons between just 2 elements, so they don't necessarily apply to this situation. Since the nuggets could easily be such that no measurement would be equally balanced, a better lower bound than 6 is ceiling(log2(16 choose 2)) = 8 weighings....

- Tue Dec 08, 2015 2:41 pm UTC
- Forum: Forum Games
- Topic: Count Up with the Four Fours Puzzle
- Replies:
**2066** - Views:
**87601**

### Re: Count Up with the Four Fours Puzzle

24 = 4*4 + 4 + 4 Using unary operators feels a bit weird to me. Especially square root: we can't use cube root because it has a 3 in it, but we can use square root just because the symbolic notation doesn't have a number drawn in it...? And the successor operator must obviously be forbidden, but the...

- Sun Nov 29, 2015 2:33 pm UTC
- Forum: Logic Puzzles
- Topic: The Two Oracles - a statistics problem
- Replies:
**74** - Views:
**12264**

### Re: The Two Oracles - a statistics problem

Okay, thinking about it. It's obviously a hard problem, because we don't know if the variables are independent. Doing it properly would probably use a more sophisticated algorithm that analyzes a whole corpus of text and interrelates the variables. But I think there ARE some naïve assumptions we cou...

- Sun Nov 29, 2015 4:42 am UTC
- Forum: Logic Puzzles
- Topic: The Two Oracles - a statistics problem
- Replies:
**74** - Views:
**12264**

### Re: The Two Oracles - a statistics problem

Also, I've been looking over your Bayesian logic a bit. I think I found a flaw: you cannot convert p(B&C|A) into p(B|A) * p(C|A) just because B and C are independent. To make that conversion, they must be independent *given A*. You only end up with a problem when you...

- Sun Nov 29, 2015 4:00 am UTC
- Forum: Logic Puzzles
- Topic: The Two Oracles - a statistics problem
- Replies:
**74** - Views:
**12264**

### Re: The Two Oracles - a statistics problem

Yes, "trick question" is the right term. A trick question, you say? Well, you sure tricked me into thinking it was a statistics problem, so I replied as such :P The question about how you would respond in reality is an interesting one. Unfortunately, I think the answer is that, in reality...

- Sun Nov 29, 2015 2:32 am UTC
- Forum: Logic Puzzles
- Topic: The Two Oracles - a statistics problem
- Replies:
**74** - Views:
**12264**

### Re: The Two Oracles - a statistics problem

That still doesn't give enough information to solve it. For instance, imagine that Kiruna is a region where tradition forbids men from being miners. Unless we make additional assumptions about the situation, it's unsolvable. We could solve it with this assumption: "50% of all people are men, an...

- Sun Nov 29, 2015 12:14 am UTC
- Forum: Logic Puzzles
- Topic: The Two Oracles - a statistics problem
- Replies:
**74** - Views:
**12264**

### Re: The Two Oracles - a statistics problem

"they are not biased against the king" is not sufficient information to draw any further conclusions.

Do you have a specific answer in mind, which you're hoping for us to find?

Do you have a specific answer in mind, which you're hoping for us to find?

- Sat Nov 28, 2015 4:57 pm UTC
- Forum: Logic Puzzles
- Topic: The Two Oracles - a statistics problem
- Replies:
**74** - Views:
**12264**

### Re: The Two Oracles - a statistics problem

out of all the times the oracle says "50%", the thing really happens 50% of the times, One consistent interpretation: the oracles actually know whether the events will happen. They then arbitrarily decide on a probability to tell you, making sure that 90% of the times they say 90% it is f...

- Sat Oct 31, 2015 9:48 pm UTC
- Forum: Logic Puzzles
- Topic: Room count of the cross-wired tower.
- Replies:
**2** - Views:
**1770**

### Re: Room count of the cross-wired tower.

Solution to the first puzzle: Like the original puzzle, this one has a solution that is O(n). 1. Set i=1 2. Walk and memorize the current states of rooms until you have memorized 2^i rooms in a row. 3. Toggle the switch of the current room. 4. Walk back along the rooms you memorized. The sec...

- Wed Oct 14, 2015 11:41 pm UTC
- Forum: Logic Puzzles
- Topic: How many rooms are there in the tower?
- Replies:
**26** - Views:
**5305**

### Re: How many rooms are there in the tower?

You could, at least if you define the probability of each initial state. Suppose we assume that N is very large, and that each light has an independent 50% chance of being on initially. If you don't mind a 10^-100 chance of taking lots of extra time, you can do it in barely more than 2N time (say, 2...

- Tue Oct 13, 2015 1:05 am UTC
- Forum: Logic Puzzles
- Topic: How many rooms are there in the tower?
- Replies:
**26** - Views:
**5305**

### Re: How many rooms are there in the tower?

It's just a way of thinking about the worst-case bounds. It's a common term when thinking about computer algorithms, even when no actual malice is involved. I also don't like your suggestion because it would make the puzzle much, MUCH more complicated. To even begin thinking about the b...

- Tue Oct 13, 2015 12:18 am UTC
- Forum: Logic Puzzles
- Topic: How many rooms are there in the tower?
- Replies:
**26** - Views:
**5305**

### Re: How many rooms are there in the tower?

I think you're correct on both points.

- Mon Oct 12, 2015 3:19 pm UTC
- Forum: Logic Puzzles
- Topic: How many rooms are there in the tower?
- Replies:
**26** - Views:
**5305**

### Re: How many rooms are there in the tower?

More optimizations, possible fastest solution? tl;dr: I think I can do it in 3.83n moves, and I'm not sure it can be done in less. – In order to finish, the player has to observe that a specific light changes when they change a light n rooms away. Since they don't know its initial state, the...

- Mon Oct 12, 2015 3:01 am UTC
- Forum: Logic Puzzles
- Topic: How many rooms are there in the tower?
- Replies:
**26** - Views:
**5305**

### Re: How many rooms are there in the tower?

I have a simple solution that is O(n). 1. set N = 2 2. Turn off the first N-1 rooms, then turn on the Nth room. 3. Go back to the first room. On your way, as soon as you see a light at room R, there are a total of (N-R-1) rooms and you're done. If you never see a light, double N and go t...

- Mon Aug 03, 2015 1:48 pm UTC
- Forum: Logic Puzzles
- Topic: Alien abduction
- Replies:
**33** - Views:
**15154**

### Re: Alien abduction

**Spoiler:**

- Sun Aug 02, 2015 3:29 pm UTC
- Forum: Logic Puzzles
- Topic: Alien abduction
- Replies:
**33** - Views:
**15154**

### Re: Alien abduction

**Spoiler:**

- Sun Aug 02, 2015 4:35 am UTC
- Forum: Logic Puzzles
- Topic: Alien abduction
- Replies:
**33** - Views:
**15154**

### Re: Alien abduction

quintopia: I see a bit of a problem with that solution. Rule one says they traverse the rooms by "walking", and scooting might not qualify. Reading the rules literally, there are even more difficulties. It seems almost impossible for them to not "communicate" – consider that, wh...

- Thu Sep 11, 2014 8:38 pm UTC
- Forum: General
- Topic: ITT: We make xkcd slightly worse.
- Replies:
**8651** - Views:
**1617280**

### Re: ITT: We make xkcd slightly worse.

"9/11 receives Nobel Peace Prize"

- Wed Aug 27, 2014 8:39 pm UTC
- Forum: Forum Games
- Topic: King VS Rebels
- Replies:
**329** - Views:
**41577**

### Re: King VS Rebels

The hole dies.

Trippy hole: 0/1

Trippy hole: 0/1

- Wed Jul 30, 2014 11:27 pm UTC
- Forum: Forum Games
- Topic: King VS Rebels
- Replies:
**329** - Views:
**41577**

### Re: King VS Rebels

The plain soldiers get tired of being so plain. Adam and Eve's Plant Forces: Super-Powered Living Trees: 3536/3536 Lydia: 1/1 Starship: 1/1 Godzilla Sympathizers: 10/52 Godzilla body completeness: 40%/100% Godzilla head completeness: 7%/50% Carnivorous plants: 5400/5400 Lame League of Super Heroes: ...

- Sun Jul 27, 2014 4:47 pm UTC
- Forum: Forum Games
- Topic: King VS Rebels
- Replies:
**329** - Views:
**41577**

### Re: King VS Rebels

Godzilla appears and attacks!

King's Forces 25000/25000

Rebellion Strength 24875/25000

Godzilla 1/1

Unfortunately for Godzilla, the two main factions consist of 25000 godzillas.

King's Forces 25000/25000

Rebellion Strength 24875/25000

Godzilla 1/1

Unfortunately for Godzilla, the two main factions consist of 25000 godzillas.

- Thu Jul 24, 2014 3:42 pm UTC
- Forum: Mafia
- Topic: The Gojoe Memorial Mafia Discussion Thread
- Replies:
**31874** - Views:
**2193421**

### Re: The Gojoe Memorial Mafia Discussion Thread

Emperor's Groovy Mafia Octopus - Can vote for as many players simultaneously as they want to. (this is mostly vanilla, the power is generally useless, but it will spark conversation which is always good.) What if they hammer two people at once? :P Are we doing just animals from the film, or ...

- Tue Jun 10, 2014 5:07 pm UTC
- Forum: Gaming
- Topic: You gotta get into Dwarf Fortress if you haven't already.
- Replies:
**4583** - Views:
**626238**

### Re: You gotta get into Dwarf Fortress if you haven't already

Yeah, digging large 3D open spaces is unnecessarily tricky. IIRC, a good way to do it is to carve the whole area into up/down stairs (so it's all accessible) and then remove it one layer at a time starting from the top.

- Fri May 23, 2014 9:48 pm UTC
- Forum: News & Articles
- Topic: [Trigger warning: classic literature]
- Replies:
**314** - Views:
**36780**

### Re: [Trigger warning: classic literature]

Is this, like, actually a thing? My understanding was that you wear braces only because your body needs them, not because they make life easier in the short term. I know when I had a cast, or had my mouth wired shut, the doctor had to constantly urge me to keep them on and not try to subvert them. ...

- Mon May 12, 2014 6:18 pm UTC
- Forum: General
- Topic: ITT: We make xkcd slightly worse.
- Replies:
**8651** - Views:
**1617280**

### Re: ITT: We make xkcd slightly worse.

Then again, you'd be able to easily add on to the title text and make it not a joke about furries, but about someone who doesn't understand social norms who just happens to be a furry via a "You're a real jerk." "What, because I'm a furry?" "YOU'RE THREE INCHES FROM MY FACE...

- Tue Mar 25, 2014 6:52 pm UTC
- Forum: Mafia
- Topic: Meta discussion
- Replies:
**1410** - Views:
**209629**

### Re: Meta discussion

If you want to encourage voting, here's a variant:

At the end of the day, if there was no hammer, every player who isn't voting has their vote assigned to a random other player, then the vote leader is lynched (or NL on ties).

Not sure it's any good, but hey.

At the end of the day, if there was no hammer, every player who isn't voting has their vote assigned to a random other player, then the vote leader is lynched (or NL on ties).

Not sure it's any good, but hey.

- Sat Mar 08, 2014 5:27 am UTC
- Forum: News & Articles
- Topic: Article: Bitcoin creator ousted!(?)
- Replies:
**7** - Views:
**3738**

### Re: Article: Bitcoin creator ousted!(?)

I'd say weak evidence in favor of it being him. We know that he has the motivation to deny it and the awareness that the claim has just been published. Other possible candidates for Satoshi Nakamoto might not have heard about this (if they're really distancing themself from bitcoin news now) or migh...

- Sat Mar 08, 2014 4:56 am UTC
- Forum: General
- Topic: ITT: We make xkcd slightly worse.
- Replies:
**8651** - Views:
**1617280**

### Re: ITT: We make xkcd slightly worse.

I thought I had the perfect comeback, but it was ruined by the smallest detail of inflection.

- Wed Feb 05, 2014 3:24 am UTC
- Forum: Forum Games
- Topic: Create a Card: MTG
- Replies:
**3761** - Views:
**371554**

### Re: Create a Card: MTG

Standardization Error

1BB

Sorcery

Destroy all creatures with 2 power.

Next card: Fate Unwoven, Heresy of the Revelers, or Armageddon Spotters Club.

1BB

Sorcery

Destroy all creatures with 2 power.

Next card: Fate Unwoven, Heresy of the Revelers, or Armageddon Spotters Club.

- Wed Jan 15, 2014 8:52 am UTC
- Forum: News & Articles
- Topic: Police misbehavior thread
- Replies:
**6468** - Views:
**953755**

### Re: Police misbehavior thread

"mistake"... "rise to something like this"... Wow, if I was writing a textbook entry on victim-blaming, I couldn't ask for a better example.

- Mon Dec 09, 2013 5:04 am UTC
- Forum: General
- Topic: ITT: We make xkcd slightly worse.
- Replies:
**8651** - Views:
**1617280**