instruction stringlengths 15 30k |
|---|
23 hours and no takers? Here is my solution.
>! [![enter image description here][1]][1]
How to start:
>! [![enter image description here][2]][2]
>!
>! - If A is green then B and C are gray because of 33 and D is gray because of 3. But then BCD are gray which is forbidden. Therefore A is gray and so is... |
You purchase a tabloid-ish newspaper from a stand at your local station, hoping desperately there's a cryptic in the back to sate your crossword desires. You begin pencilling in some obvious anagrams and reversals, but a couple clues contain obscure references you can't understand. Sadly, you toss the paper aside and b... |
23 hours and no takers? Here is my solution.
>! [![enter image description here][1]][1]
How to start:
>! [![enter image description here][2]][2]
>!
>! - If A is green then B and C are gray because of 33 and D is gray because of 3. But then BCD are gray which is forbidden. Therefore A is gray and so is... |
23 hours and no takers? Here is my solution.
>! [![enter image description here][1]][1]
How to start:
>! [![enter image description here][2]][2]
>!
>! - If A is green then B and C are gray because of 33 and D is gray because of 3. But then BCD are gray which is forbidden. Therefore A is gray and so is... |
Part 1:
Q1,E2,T3,U4,O5,A6,D7,___
Find ___.
> Clue: draobyek
Part 2:
ode coded math is slogan done bans were math eroded question: eco desperate minus 14362
i22096
up ____ down. eulc?
> Clue: Word sin words!!! Side.
Solve this question!!! There is a message. |
I believe the completed grid should look like this:
>! [![Completed grid][1]][1]
Clue explanations as follows:
>! **Across**
>! 1. **Caution on underground** wit; split this back page (4, 3, 3) **MIND THE GAP** = MIND (Wit) + TH(-is) + PAGE<
>! 6. **Repeat** in tech overview (4) **ECHO** = \_ECH O\_
>... |
10 cards, numbered 1-10 are randomly dealt to 2 players, such that each player gets 5 random cards.
Before the cards are dealt, player A will say a number, lets call it x. After the draw, A will randomly take x cards from B, and choose x cards to give back to B from A's original deck.
The winner is the player who... |
Ten cards, numbered 1-10, are randomly dealt to 2 players, A and B, such that each player gets 5 cards.
Before the cards are dealt, player A will say a number N. After the cards are dealt, A will randomly take N cards from B, and choose N cards **from A's original hand** to give back to B.
The winner is the playe... |
You come across two people . One is a liar who always lies and the other is a truthteller who always tell the truth. You don't know who is who though.
Both these people are allowed to say one sentence each. What shall each of them say to prove their identity ?
Note : Both need to prove their identities individua... |
How can a liar and a truthteller prove their identity? |
You come across two people . One is a liar who always lies and the other is a truthteller who always tell the truth. You don't know who is who though.
Both these people are allowed to say one sentence each. What shall each of them say to prove their identity?
Note: Both need to prove their identities individuall... |
Part 1 already answered by WhatsUp. Incomplete thoughts on a solution to part 2:
>! There are words hidden inside the long string of words:<p>
>! o**de code**d ma**th is** slog**an d**one b**ans wer**e ma**th e**roded question: eco desperate minus 14362<p>
>! Not sure if this is supposed to read "decode this and ... |
You come across two people. One is a liar who always lies and the other is a truthteller who always tell the truth. You don't know who is who though.
Both these people are allowed to say one sentence each. What shall each of them say to prove their identity?
Note: Both need to prove their identities individually... |
How can a liar and a truthteller prove their identities? |
<sub><sup>This post is not a puzzle.</sub></sup>
Is it safe to use indicators that only work "locally"?
Such as "[swimmer](http://conwaylife.com/wiki/swimmer)" for [SE](http://conwaylife.com/wiki/swimmer)
or "[quetzal](http://conwaylife.com/wiki/q)" for Q
or maybe "[Scratch Team](http://en.scratchwiki.info/... |
> **Closed.** This question is [off-topic](http://puzzling.stackexchange.com/help/closed-questions). It is <s>not</s> currently accepting answers.
> ___
> **Want to improve this question?** Update the question so it's [on-topic](http://puzzling.stackexchange.com/help/on-topic) for Puzzling Stack Exchange.
> Clos... |
**This puzzle is inspired by [this one](https://puzzling.stackexchange.com/questions/110665/hidden-message-in-rap-text-yo-gandhi-dupe-bounce) by @LukasRotter. Hopefully you don't mind me using similar (well, basically the same) format as yours, Mr. Rotter! ;)**
The same rapper released another teaser for his other u... |
Alice, Bob and Carole are playing a betting game. At the beginning, they have 20 chips in the common pot. They move alternatively in the order of Alice, Bob and Carole. In their move, a player announces a number $M$ and toss a fair coin: if head, $M$ more chips are added to the pot; if tail, $M$ chips are removed from ... |
You have landed on an island of fun-loving logicians (hmmm ...) and don't know how to find your way home. After asking the first person you meet for directions, you are led to a secret, mystical place with a large stone engraved with the following drawing replete with directions:
[![The Compass][1]][1]
"I wan... |
There are already a couple of answers, but I think this question is a bit better than just a straightforward calculation problem, so here's one more.
You can reword the question into 5 separate questions like this:
> 1. Here is a card of which you know nothing, except that it was the **smallest in a random sampl... |
There are already a couple of answers, but I think this question is a bit better than just a straightforward calculation problem, so here's one more.
You can reword the question into 5 separate questions like this:
> 1. Here is a card of which you know nothing, except that it was the **smallest in a random sampl... |
[![enter image description here][1]][1]
I finished this word puzzle, but I don't think I solved it correctly. Can you help me fix it?
[1]: https://i.stack.imgur.com/7xt6Z.png |
<sub>This is in the spirit of the [What is a Word/Phrase™][1] series inaugurated by [JLee][2] with his original [Phrase™][3] and [Word™][4] puzzles.</sub>
----
If a phrase adheres to a certain rule, then I call it a Netflix Word™.
Use the examples below to find the rule.
| Netflix Words™ | Non-Netflix Words... |
What is a Netflix Word™? |
*Ah, I see what you've done here - let me help you correct it ;-)*
As you suspect, your answers (reading across the rows) are all incorrect. How can we tell this? Because...
>! ...there is a way to choose a **synonym** of each of your answers so that the word spelled out in a row *uses some arrangement of all the... |
I have
**One** anagram
**Two** Meanings
**Three** primary directions
**Four** numbers
**Five** consonants (not necessarily distinct)
**Six** different multi-letter words- at least (formed by consecutive letters)
**Seven** letters
What is the word?
|
What are the odds of there being two solutions to, say, a cryptoquote? And is anyone aware of an example of such? |
*Here's the first riddle I invented for Puzzling SE. Hope you'll enjoy solving it.*
This story takes place during World War II. A German spy is assigned the task to sneak overnight into a military base near London and steal secret documents of utmost importance.
The documents are kept inside 30 safes of reinforce... |
How do you change the word **Water** to the word **Steam** by changing one letter at a time? The newly formed words must be from Merriam Webster dictionary. No proper nouns, abbreviations or acronyms. No rearranging of the letters either.
**Note**: I myself could not find an answer to this question. May be because ... |
Is it safe to use indicators that only work "locally"?
Such as
- "[swimmer](http://conwaylife.com/wiki/swimmer)" for [SE](http://conwaylife.com/wiki/swimmer)
- "[quetzal](http://conwaylife.com/wiki/q)" for Q
- "[Scratch Team](http://en.scratchwiki.info/wiki/Scratch_Team)" for ST |
Saw in Twitter this cool mechanical linkage for which the red dot corresponds to the centroid of the triangle defined by the blue dots:
[![mechanical linkage for the centroid of a triangle][1]][1]
[1]: https://i.stack.imgur.com/FMuT2.jpg
Can you prove why this linkage works?
Original tweet here: https:/... |
I saw [on Twitter][1] this cool mechanical linkage for which the red dot corresponds to the centroid of the triangle defined by the blue dots:
[![mechanical linkage for the centroid of a triangle][2]][2]
Can you prove why this linkage works?
[1]: https://mobile.twitter.com/ChocoLinkage/status/141243193412325... |
This puzzle is heavily derived from the [Second Hardest Logic Puzzle in the World,][1] which I also created. The current puzzle and the aforementioned are not identical, however.
You have 5 guards: one always tells the truth, one always lies, one flips a coin in their head to determine what they say, one always says... |
I think you can do this with 9 questions
first
>! you ask all 5 of them <br/><br/>
>! Are you Alive?, that is total 5 questions.<br/><br/>
>! You have answers that are (3 Yes and 2 No's) or or (3 No's and 2 Yes), depending on which side coin flipper chooses.<br/><br/>
>! Now if there are 2 No's, you know those ... |
Can you connect 6 dots with 6 curves, such that every pair of curves touch each other exactly once? Curves can touch at their middle or at dots. |
Can you connect 6 dots with 6 curves, such that every pair of curves touch each other exactly once? Curves can touch anywhere at their interior or at the dots. |
Turned out to be the same answer, but followed by a proof:
>! Let's ask a question whose answer we know is "yes" (eg. is 2x2=4 true?) to all of them (**5 questions**). <br><br> If there are 2 yes answers, then only the truth teller (TT) and yes sayer (YS) must have said yes. The randomer's answer is a no. To distingui... |
**This puzzle is inspired by [this one](https://puzzling.stackexchange.com/questions/110665/hidden-message-in-rap-text-yo-gandhi-dupe-bounce) by @LukasRotter. Hopefully you don't mind me using similar (well, basically the same) format as yours, Mr. Rotter! ;)**
The same rapper released another teaser for his other u... |
Turned out to be the same answer, but followed by a proof:
>! Let's ask a question whose answer we know is "yes" (eg. is 2x2=4 true?) to all of them (**5 questions**). <br><br> If there are 2 yes answers, then only the truth teller (TT) and yes sayer (YS) must have said yes. The randomer's answer is a no. To distingui... |
I have an exceptional music box. I can put words inside it. But not all. Here are some of what this curious box admits:
- Relation
- Abomination
- Sofa
- Umbrella
- Antidote
- Gasoline
- Desire
**Can you deduce which words my box admits?**
<img src="https://www.collinsdictionary.com/images/full/musicbo... |
There are two ways to win as stated in the puzzle;
1. Everyone wins if you get 100 coins
2. If one person loses by running out of coins on their turn, then the other two win.
# Win By Knockout #
This happens when one person bets all the remaining coins and loses. Obviously, if there is more than 1 c... |
There are two ways to win as stated in the puzzle;
1. Everyone wins if you get 100 coins
2. If one person loses by running out of coins on their turn, then the other two win.
# Win By Knockout #
This happens when one person bets all the remaining coins and loses. Obviously, if there is more than 1 c... |
***Edit: I started out trying to get a formal proof of optimality, but abandonded that. I leave the work here for someone else to continue if they see any merit. I did run some simulations if anyone wants to come up with a strategy they will have to do better than this.***
There are two ways to win as stated in th... |
I was pointed to this very interesting post by RobPratt, who helped me with a [related problem](https://math.stackexchange.com/questions/4185542/is-this-a-geometric-set-cover-problem?noredirect=1#comment8691877_4185542).
After implementing a similar solution to his, using a random scatter of points and looking for a... |
I have an exceptional music box. I can put words inside it. But not all. Here are some of what this curious box admits:
- Relation
- Abomination
- Sofa
- Umbrella
- Antidote
- Gasoline
- Desire
**Can you deduce which words my box admits?**
<img src="https://i.stack.imgur.com/8Wdbl.jpg" width="400" heig... |
Can you connect 6 dots with 6 curves, such that every pair of curves touch each other exactly once? Curves can touch anywhere at their interior or at the dots, and the whole thing must lie in the plane. |
> **1st member:** It's too cold. Hey, can you [my prefix] some wood to endure this blizzard?
> **2nd member:** Of course.
>
> **FEW MOMENTS LATER**
>
> **2nd member:** There's a [my prefix]oon outside. Hey, can you check whether the gate has erosion?
> **3rd member:** Err... I'll do my best.
>
> **FEW MOMEN... |
> **1st member:** It's too cold. Hey, can you [my prefix] some wood to endure this blizzard?
> **2nd member:** Of course.
>
> **FEW MOMENTS LATER**
>
> **2nd member:** There's a [my prefix]oon outside. Hey, can you check whether the gate has erosion?
> **3rd member:** Err... I'll do my best.
>
> **FEW MOMEN... |
Partial answer/guesses, feel free to take mine into your own answers if you think you can use them :)
**1st member:** It's too cold. Hey, can you [my prefix] some wood to endure this blizzard?
**2nd member:** Of course.
>! **Light**, this also because of the reference of soar to member 1 something that is light ... |
Using creative thinking can you show
> 9 = 4
>
> 9 = 8
>
> 9 = 14
>
> 9 = 24
All four equations follow the same logic/method.
While you are at it can you also show (same logic)
> 55 = 4 ?
|
Four equations for the same number? |
This puzzle is heavily derived from the [Second Hardest Logic Puzzle in the World,][1] which I also created. The current puzzle and the aforementioned are not identical, however.
You have 5 guards: one always tells the truth, one always lies, one flips a coin in their head to determine what they say, one always says... |
Alice and Bob both have N warriors under their command, numbered 1~N, and $1$ point of fighting power at their disposal. Before the game, they privately distribute the power between their warriors. When the game begins, both send their warrior #1 to a 1v1 fight. If a warrior with power x fights one with power y, the fo... |
How should you distribute the fighting power? |
You have 120 bottles of Cola and 120 bottles of Sprite.
You can exchange 3 empty Cola bottles for a new bottle of Sprite.
You can exchange 4 empty Sprite bottles for a new bottle of Cola.
You can borrow bottles, but must return them in the end.
What is the maximal number of bottles of drink that you can dri... |
How many bottles can you drink? |
You have 120 bottles of Cola and 120 bottles of Sprite.
You can exchange 3 empty Cola bottles for a new bottle of Sprite.
You can exchange 4 empty Sprite bottles for a new bottle of Cola.
You can borrow empty bottles, but must return them in the end.
What is the maximal number of bottles of drink that you c... |
<sub>This is part 9 of the puzzle series that started at [Living the traveller's dream](https://puzzling.stackexchange.com/questions/109775/living-the-traveller-s-dream). Each part is solvable on its own.</sub>
----
[![enter image description here][1]][1]
> <i>Dear Puzzling,
>
> Nine destinations down, f... |
<sub>This is part 10 of the puzzle series that started at [Living the traveller's dream](https://puzzling.stackexchange.com/questions/109775/living-the-traveller-s-dream). Each part is solvable on its own.</sub>
----
[![enter image description here][1]][1]
> <i>Dear Puzzling,
>
> I have noticed that the ... |
Gladys is now in:
>! **BOLIVIA**! As part of her travels she visits the city of [Sucre](https://en.wikipedia.org/wiki/Sucre), plus [Lake Titicaca](https://en.wikipedia.org/wiki/Lake_Titicaca), [Salar de Uyuni](https://en.wikipedia.org/wiki/Salar_de_Uyuni), [Nevado Sajama](https://en.wikipedia.org/wiki/Nevado_Sajama)... |
Gladys is now in:
>! **BOLIVIA**! As part of her travels she visits the city of [Sucre](https://en.wikipedia.org/wiki/Sucre), plus [Lake Titicaca](https://en.wikipedia.org/wiki/Lake_Titicaca), [Salar de Uyuni](https://en.wikipedia.org/wiki/Salar_de_Uyuni), [Nevado Sajama](https://en.wikipedia.org/wiki/Nevado_Sajama)... |
What am I referring to?
> It can't be made by a Snake,
>
> whether it is asleep or awake.
>
> It can be made by a Beagle,
>
> or sometimes even by an Eagle.
> Found in various places,
>
> we humans can easily make,
>
> You dont need hands to make it,
>
> Did this puzzle make your head shak... |
How to get started on this Slitherlink (No Swiss)? |
You arrive at a station at time t=0. Train A can come anytime between [0,5] and train B can come anytime between [0,7] and train C can come anytime between [0,9]. You will board the first train you get. What is your expected waiting time?
Assume uniform distribution for train arrival
|
Chaos at the international conference for world leaders: What should have been a peaceful exchange of ideas for common growth quickly exploded into hostility shortly after the German speaker addressed the USA delegates with accusations:
> "We have recently discovered hacking attempts at our security network.
> Some... |
Tetchy that jafe just outputs one puzzle per week? Well, think twice! jafe's jamming quite quickly, seemingly superhumanly! However here's my mollification, another attempt. Hearty hopes thou takest enjoyment, erudition.
[![Grid][1]][1]
**ACROSS**
**1** "I'm a riot!," man rambled before lauding institution of... |
Simply Puns Or Crytpic Clues In BOLD:
Sitting atop a tall chair in the garden, one English Politician P was having his **Evening Beverage**,
His American Neighbour N was asking "Our Admiral can write Programs. **What about your Countess** ?"
P replied "What is Programming, **according to you** ?"
N elaborat... |
Simply Puns Or Cryptic Clues In BOLD:
Sitting atop a tall chair in the garden, one English Politician P was having his **Evening Beverage**,
His American Neighbour N was asking "Our Admiral can write Programs. **What about your Countess** ?"
P replied "What is Programming, **according to you** ?"
N elaborat... |
Simply Puns Or Cryptic Clues In BOLD:
Sitting atop a tall chair in the garden, one English Politician P was having his **Evening Beverage**,
His American Neighbour N was asking "Our Admiral can write Programs. **What about your Countess**?"
P replied "What is Programming, **according to you**?"
N elaborated... |
Grid:
>! [![enter image description here][1]][1]
Explanations:
ACROSS
>!1 MATRIMONIAL **IMARIOTMAN\* + L(-auding)** "I'm a riot!," man rambled before lauding institution of marriage (11)
>!7 GOB **GOB(-lin)** Half-orc's maw (3)
>!9 NEPAL **PAL(-au) supporting N(-iu)E** Country of Palau stripped of gol... |
All bold passages ...
>! ... can be replaced with the **name of a country**, either by paraphrasing or as a homophone.
So:
>! Evening Beverage — _High tea._ **HAITI**
>! What about your Countess — _Can Ada (Lovelace)?_ **CANADA**
>! according to you — _You say?_ **U.S.A.**
>! I executed - _I ran_, **I... |
I was pointed to this very interesting post by RobPratt, who helped me with a [related problem](https://math.stackexchange.com/questions/4185542/is-this-a-geometric-set-cover-problem?noredirect=1#comment8691877_4185542).
After implementing a similar solution to his, using a random scatter of points and looking for a... |
Grid:
>! [![enter image description here][1]][1]
Explanations:
ACROSS
>!1 MATRIMONIAL **IMARIOTMAN\* + L(-auding)** "I'm a riot!," man rambled before lauding institution of marriage (11)
>!7 GOB **GOB(-lin)** Half-orc's maw (3)
>!9 NEPAL **PAL(-au) supporting N(-iu)E** Country of Palau stripped of gol... |
> With a voice on my first, the OP doesn't have me; he lives in a foreign country.
>
> With a raise on my second, the OP simply cannot do me; I am so wild.
>
> With a block on my fourth, the OP has simply done me; so will you.
>
> With a retraction on my fourth, the OP maybe will do me; he wants to be a topologis... |
> With a voice on my first, the OP doesn't have me; he lives in a foreign country.
>
> With a raise on my second, the OP simply cannot do me; I am so wild.
>
> With a block on my fourth, the OP has simply done me; so will the answerer.
>
> With a retraction on my fourth, the OP maybe will do me; he wants to be a ... |
I have a puzzle that includes mapping days as a 4 digit number.
- Sunday: 6137
- Monday: 6240
- Tuesday: 7358
- Wednesday: 9497
- Thursday: 85??
The first digit is just the number of characters and the second digit is the nth day starting with Sunday. So the first two digits for Thursday will be 85, but ... |
Giving this a shot:
>! Halcyon
> My prefix cools you down.
>! [Hal cold oral](https://www.google.com/search?q=hal+cold+oral&sxsrf=ALeKk00eQK_0Y5PfmUaxZogYVvKfmecCug%3A1625993867641&ei=i7LqYM7GJsjG-QaaqaPQCQ&oq=hal+cold+oral&gs_lcp=Cgdnd3Mtd2l6EAMyBQghEKABMgUIIRCgAToLCAAQsAMQBxAKEB46CQgAELADEAgQHjoLCAAQsAMQCBAK... |
I have a puzzle that includes mapping days as a 4 digit number.
- Sunday: 6137
- Monday: 6240
- Tuesday: 7358
- Wednesday: 9497
- Thursday: 85??
The first digit is just the number of characters and the second digit is the nth day starting with Sunday. So the first two digits for Thursday will be 85, but ... |
> With a voice on my first, the OP doesn't have me; he lives in a foreign country.
>
> With a raise on my second, the OP simply cannot do me; I am so wild.
>
> With a block on my fourth, the OP has simply done me; so will the answerer.
>
> With a retraction on my fourth, the OP maybe will do me; he wants to be a ... |
A factory that manufactures clothing cuts multiple garments at once.
Sometimes a number of markers are used for a job. Each marker may have a single size or multiple sizes depending on what is needed. So the length of each is different.
To get the required number of garments a number of lays are laid out over ea... |
> With a voice on my first, the OP doesn't have me; he lives in a foreign country.
>
> With a raise on my second, the OP simply cannot do me; I am so wild.
>
> With a block on my fourth, the OP has simply done me; so will the answerer.
>
> With a retraction on my fourth, the OP maybe will do me; he wants to be a ... |
I was digging in my dad's trunk and I found some sort of 1940s secret decoder ring. Not quite sure how it works, but anyway, one of the lines has become almost illegible (#T#######). Can someone help me to restore it?
<BR>
^
|
|
<wrap around to b... |
Let me take a closer look at your ring... ah, it seems you missed
>! the small crack running down the middle, all the way around the ring.
So if you just pull here, and push this way...
>! you can separate the two halves, and twist them a bit relative to each other!
>!
>! [![word list, with right halves of... |
Try find the answer of the puzzle below.
---------
[![enter image description here][1]][1]
------
Hint1
>! The circles inside the rectangles are instructions for the 4 circles below them..
**EDIT:** I made a mistake. It's corrected now. But I had to change the letter grid and the final answer. Also,... |
All bold passages ...
>! ... can be replaced with the **name of a country**, either by paraphrasing or as a homophone.
So:
>! Evening Beverage — _High tea._ **HAITI**
>! What about your Countess — _Can Ada (Lovelace)?_ **CANADA**
>! according to you — _per you_ **PERU** (solved by samm82)
>! I execute... |
I came up with this Word Nurikabe Puzzle, which was NOT a part of the [Puzzle Ramayan][1], the qualifiers for [Indian Puzzle Championship][2].
---
[![Tougher puzzle.][3]][3]
---
**Rules**
- Place the given words in the grids ‘islands’, so that the words are readable in orthogonally (horizontal... |
Let me take a closer look at your ring... ah, it seems you missed
>! the small crack running down the middle, all the way around the ring.
So if you just pull here, and push this way...
>! you can separate the two halves, and twist them a bit relative to each other!
>!
>! [![word list, with right halves of... |
The final answer is
>! Geometry
The instructions tell us
>! that we should draw the circles so that they all touch each other at exactly one point. Also, three of the circles should have area pi, so the only way to do it is like this
>! [![][1]][1]
>! *(I guess the instructions don't explicitly prohibit the ... |
8 standard six-sided dice with faces numbered 1, 2, 3, 4, 5, 6 each are thrown at the same time and the product of the eyes is written down on a paper.
This process is repeated until you are able to select two numbers on the paper, whose product is a square number.
In the worst case, how many repetitions are requir... |
Please find below a variant Sudoku puzzle, based on a combinatorics problem I was having a look at. The timing is right, as I recently saw @BeastlyGerbil back in chat, and I know that user is a big variant Sudoku fan. Welcome back!
In addition to normal Sudoku rules, XV rules apply: a pair of cells sharing an "x" mu... |
8 standard six-sided dice with faces numbered 1, 2, 3, 4, 5, 6 each are thrown at the same time and the product of the dice is written down on a paper.
This process is repeated until you are able to select two numbers on the paper, whose product is a square number.
In the worst case, how many repetitions are requir... |
**This puzzle is inspired by [this one](https://puzzling.stackexchange.com/questions/110665/hidden-message-in-rap-text-yo-gandhi-dupe-bounce) by @LukasRotter. Hopefully you don't mind me using similar (well, basically the same) format as yours, Mr. Rotter! ;)**
The same rapper released another teaser for his other u... |
There are 100 prisoners numbered from 1 to 100. There is an interrogation room with a table and an envelope. The envelope contains a secret number chosen between 1 and 100. On the $k$-th day the following happens:
1. The prisoner numbered $k$ is led into the interrogation room and asked to guess the number in the en... |
>! The largest possible sum of 5 digits is 5x9=45; the smallest is 5x1=5. So the possible primes are 43,41,37,31,29,23,19,17,13,11,7,5. There are 12 of these. They are all odd, so in any string of consecutive digits abcdef a,f must have the same parity, as well as having a>f so that the primes keep getting smaller as r... |
**Wrong answer**
Well, it might be the right answer for all I currently know, but my argument has multiple errors in it (pointed out by others in comments). I may fix it, but others should feel free to post correct solutions before I do :-).
>! The largest possible sum of 5 digits is 5x9=45; the smallest is 5x1=5... |
Just some remarks I wanted to make.
>! In StephenTG's solution, it is actually unnecessary for the first prisoner to make a guess; he merely needs to put the envelope in the right state, and then $50$ prisoners will be guaranteed to be saved. If prisoner $1$ instead guesses $1$ or $2$ randomly, then an expected numb... |
1:3
☀ 1:3
1:3
❄1:3
replace [☀2,❄1]:
What is Tom's sickness?
Disclaimer: Highly `knowledge`able
|
What is Tom's sickness? |
1:3
☀ 1:3
1:3
❄1:3
replace [☀2,❄1]:
What is Tom's sickness?
Disclaimer: Highly `knowledge`able
A funny hint:
>! Did you maybe guess what the first four lines mean by themselves? Well, SOMEONE didn't....
|
There are 100 prisoners numbered from 1 to 100. There is an interrogation room with a table and an envelope. The envelope contains a secret number chosen between 1 and 100. On the $k$-th day the following happens:
1. The prisoner numbered $k$ is led into the interrogation room and asked to guess the number in the en... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.