instruction stringlengths 15 30k |
|---|
Using the digit 4 exactly four times and 4 signs only and only the operation + is allowed how to get 10? |
Using the digit 4 exactly four times and 4 signs only and only the operation + is allowed how to get 10?
for example:
> $(44 - 4) / 4 = 10$
does not work for this question because 44 is a number and not the digit 4,and we used a - not just +.
> $4+4+4-\sqrt{4}=10$
is a wrong answer even though we have 4 ... |
Using the digit 4 exactly four times and 4 signs only and only the operation + is allowed how to get 10?
for example:
> $(44 - 4) / 4 = 10$
does not work because 44 is a number and not the digit 4,and we used a - not just +.
> $4+4+4-\sqrt{4}=10$
is a wrong answer even though we have 4 digits of 4 and 4 ... |
As OP's examples seem to not object to anything but `-`, how about
>! $\frac{4 \times 4 + 4}{\sqrt 4}$ or (same thing) $\frac{4^{\sqrt 4} + 4}{\sqrt 4}$? |
Disclaimers and checking-we're-on-the-same-page:
* The ritual of "diagramming sentences", which as I understand it is popular in the United States, has thankfully never really been a thing in the UK. It is therefore possible that I may not be understanding the question quite right.
* I think that one thing we are s... |
<sup>An entry in [Fortnightly Topic Challenge #48: Unusual tag mix](https://puzzling.meta.stackexchange.com/questions/7149/fortnightly-topic-challenge-48-unusual-tag-mix)</sup>
---
I was looking at the unusual tag mixes post, and one of the ones listed is [tag:combinatorics] and [tag:english]. I thought "who's go... |
<sup>An entry in [Fortnightly Topic Challenge #48: Unusual tag mix](https://puzzling.meta.stackexchange.com/questions/7149/fortnightly-topic-challenge-48-unusual-tag-mix)</sup>
---
I was looking at the unusual tag mixes post, and one of the ones listed is [tag:combinatorics] and [tag:english]. I thought "who's go... |
[![enter image description here][1]][1]
**Across**
1\. One heavy metal group's farewell (5)
5. Actor who won an Oscar for taking off clothes in *Ice Age* (4)
7. Way to pay for immigration paperwork? (4)
10. Unfinished show makes permanent substitutions (13)
11. One small piece of land by endless sea? ... |
While I was playing a certain popular indie farming game, I came across a dilemma. I have a greenhouse that I'd like to fill as efficiently as possible. How many plants can I fit in the greenhouse?
Rules:
* The greenhouse floor is made of tiles arranged in a 9x11 rectangle. The door is on the center of the 11-len... |
I recently heard the riddle that Homer, reportedly, died trying to solve. Homer approaches some fisherman and they say to him, "What we caught, we threw away, what we didn't catch, we kept.
I know the answer is [Lice] as the book I found this in tells the answer. I just don't understand the logic to why lice makes s... |
Using the digit 4 exactly four times and 4 signs only and only the operation + is allowed how to get 10?
for example:
> $(44 - 4) / 4 = 10$
does not work because 44 is a number and not the digit 4,and we used a - not just +.
> $4+4+4-\sqrt{4}=10$
is a wrong answer even though we have 4 digits of 4 and 4 ... |
The diagonals of a square intersect at a right angle.
Is that true in three dimensions? I.e. would the two diagonals of a cube, each running from one corner of the cube to its opposite corner and crossing in the center, also cross at right angles? |
<sup>An entry in [Fortnightly Topic Challenge #48: Unusual tag mix](https://puzzling.meta.stackexchange.com/questions/7149/fortnightly-topic-challenge-48-unusual-tag-mix)
*(Somewhat in the spirit of the What is a [Word™](https://puzzling.stackexchange.com/search?q=%22I+call+it%22+title%3A%22what+is%22+title%3Aword+i... |
What is a Prebus Word™? |
in computer science Using the digit 4 exactly four times and 4 signs only and only the operation + is allowed how to get 10?
for example:
> $(44 - 4) / 4 = 10$
does not work because 44 is a number and not the digit 4,and we used a - not just +.
> $4+4+4-\sqrt{4}=10$
is a wrong answer even though we have ... |
In computer science Using the digit 4 exactly four times and 4 signs only and only the operation + is allowed how to get 10? |
<sup>An entry in [Fortnightly Topic Challenge #48: Unusual tag mix](https://puzzling.meta.stackexchange.com/questions/7149/fortnightly-topic-challenge-48-unusual-tag-mix) </sup>
---
Which famous chemist is represented by these flags? Go big or go home!
| [![flag 1][1]][1] | [![flag 2][2]][2] | [![flag 3][3]][3]... |
Μy destination is a part of the world. Part of the destination, when read backwards, is a living thing, and another part of the destination, scrambled, is a delicious meal. **What part of the world is my destination?**
HINT: The part of the world is not in Europe, Asia, Africa or Australia.
HINT: The living thing i... |
<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 Visionary Phrase™.
Use the examples below to find the rule.
| VISIONARY PHRASES | NO... |
<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 Visionary Phrase™.
Use the examples below to find the rule.
[![enter image description he... |
<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 Visionary Phrase™.
Use the examples below to find the rule.
| VISIONARY PHRASES | NO... |
*<sub>This is in the spirit of the [What is a Word/Phrase™][1] series started by [JLee][2] with a special brand of [Phrase™][3] and [Word™][4] puzzles.</sub>*
[1]: https://puzzling.stackexchange.com/search?q=%22what+is+a%22+word+is%3Aquestion
[2]: https://puzzling.stackexchange.com/users/463
[3]: https://puz... |
What is a TEXT Word™? |
Μy destination is a part of the world. Part of the destination, when read backwards, is a living thing, and another part of the destination, scrambled, is a delicious meal. **What part of the world is my destination?**
HINT:
>! The part of the world is not in Europe, Asia, Africa or Australia.
HINT:
>! The ... |
A teacher has $n$ students sit in a circle in her classroom. She holds in her hands a perfectly shuffled stack of the students' graded homework, with Juan's on top. She is currently standing in front of Juan, and intends to hand out the homework by repeatedly (1) seeing whose paper is on the top of the stack, and then ... |
How long will it take to hand out the shuffled papers? |
The following cryptic clues are in English, don't include punctuation, and have a theme (except for one minor exception) which will provide context for the definitions of the clue. There are two main sets of clues, and the answers from each set will reveal a word; each group of clues produces its own word and has its o... |
I am manifold
but called always the same.
With the following told
Do you know my name?
> I have a horny filiation
> I come in rather short notation
>
> You know a pond where I tranquilly float
> I jab you when you shrink or bloat
>
> You feel me when I draw the line
> You smell me w... |
2017-12-08: Since nobody got any further, I'll post some ideas I came up with.
<br>
Lazer's guess gave me a hunch to look for
>! eclipses. I have no idea why Lazer guessed sun-related events, but assuming there was a reason, an eclipse would fit the idea of travelling, being tired at the end of the day and at leas... |
This is an extension of Nilster's great puzzle: https://puzzling.stackexchange.com/questions/107029/the-greenhouse-problem
The task is the same, but this time, sprinklers cover only a **3x3** square around it. For completeness, here is the full set of rules:
* The greenhouse floor is made of tiles arranged in a 9... |
This is an extension of Nilster's great puzzle: <https://puzzling.stackexchange.com/questions/107029/the-greenhouse-problem>
The task is the same, but this time, sprinklers cover only a **3x3** square around it. For completeness, here is the full set of rules:
* The greenhouse floor is made of tiles arranged in a... |
This is an extension of Nilster's great puzzle: <https://puzzling.stackexchange.com/questions/107029/the-greenhouse-problem>
The task is the same, but this time sprinklers cover only a **3x3** square around them. For completeness, here is the full set of rules:
* The greenhouse floor is made of tiles arranged in ... |
*<sub>This is in the spirit of the [What is a Word/Phrase™][1] series started by [JLee][2] with a special brand of [Phrase™][3] and [Word™][4] puzzles.</sub>*
[1]: https://puzzling.stackexchange.com/search?q=%22what+is+a%22+word+is%3Aquestion
[2]: https://puzzling.stackexchange.com/users/463
[3]: https://puz... |
>Cross me, and you'll never return.
Play with me, and you'll never see the dawn.
Renew me, and I'll give you Hell.
Yet don't worry, for as much as you pursue me,
You'll never reach me.
>
>**Who am I?** |
What is this terrible place? |
1. Words:
>! BUSTING, PAINTER, STUDIES
Tribond (thanks to @Bass):
>! GENRE? (my genre studies degree focused on a genre-busting genre painter) - although none of these three phrases are really familiar to me
2. Words:
>! NIGHT, RESORT, RESPECTS
Tribond:
>! LAST (last night, as a las... |
I posted this problem on the (now deleted) Area 51 Math Puzzles proposal. It was well-received there, but obviously I didn't get an answer. I still don't know the answer, and I'm not even sure if it can be solved by pure mathematics, but I'm still curious, so here it goes.
---
Imagine a 8x8 checkerboard.
If yo... |
*<sup>You can find other Vowelburgers™ Riddles [here](https://puzzling.stackexchange.com/search?q=vowelburger+is%3Aquestion)
</sup>*
----------
I ordered 5 plain Vowelburgers™ with buns and meat - help me identify each one from the description on the menu!
| Meat | Vowelburger™ |
|:----:|:------------:|
| A ... |
What you claimed is true, and from my side, I think this problem is simple. <br/>
I will propose an algorithm for this.
>! [![][1]][1]
>! First, I choose two black and two white squares from the board (red tiles are removed tiles) , now start from the pink square, and continue placing dominoes horizontally till ... |
What you claimed is true, and from my side, I think this problem is simple. <br/>
I will propose an algorithm for this.
>! [![][1]][1]
>! First, I choose two black and two white squares from the board (red tiles are removed tiles) , now start from the pink square, and continue placing dominoes horizontally till ... |
Which famous movie is suggested by the following chess position?
[![enter image description here][1]][1]
[1]: https://i.stack.imgur.com/I2Meu.png |
Hi guys I am back with a puzzle for you all!
This is a variant on Jlee's puzzle.
Some letters conform to a special rule and so I call them an Ants™ letter. Can you work out the rule?
| Ants™| Not-Ants™ |
|:----:|:---------:|
| K | B |
| T | G |
| U | O |
| A | R ... |
What is an Ants letter™? |
What you claimed is true, and from my side, I think this problem is simple. <br/>
I will propose an algorithm for this.
>! [![][1]][1]
>! First, I choose two black and two white squares from the board (red tiles are removed tiles) , now start from the pink square, and continue placing dominoes horizontally till ... |
I once got a letter from my younger sister. It reads :-
> Hello brother,
>
> How are you? I am fine. I have seen you have given me a lot of gifts, thank you for that. Here's a present from my side. Since I like puzzles, I am giving you 3 notes with the letter as well. Do check it if you want. Happy Puzzling, hope ... |
*<sub>This is a variant on the [What is a Word/Phrase™][1] series started by [JLee][2].</sub>*
[1]: https://puzzling.stackexchange.com/search?q=%22what+is+a%22+word+is%3Aquestion
[2]: https://puzzling.stackexchange.com/users/463
---
If a *letter* conforms to a special rule, I call it an Ants Letter™.
Use... |
What is an Ants Letter™? |
*<sup>You can find other Vowelburgers™ Riddles [here](https://puzzling.stackexchange.com/search?q=vowelburger+is%3Aquestion)
</sup>*
----------
I ordered 5 plain Vowelburgers™ with buns and meat - help me identify each one from the description on the menu!
| Meat | Vowelburger™ |
|:----:|:------------:|
| A ... |
The inspector sighed as she lifted her head from the mess of notes, scribbles and diagrams on the desk. The air in the office was so thick she could barely make up the "no smoking" sign through the mist of smoke.
-"We need some air in here. Gosh, how I hate this man!"
Her sergeant quietly opened the only tiny win... |
<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 Felt Word™.
Use the examples below to find the rule.
| Felt Words™ | Non Felt Words™ |
|:-------... |
> `(01)` I never give a single hair to the carder
> `(02)` shrunken by boob, I try even harder
> `(03)` drupy and pitted and jammed in the larder
> `(04)` but when throwing or dancing I'm jumping with ardor
>
> `(05)` some call me small, but they don't know jack
> `(06)` while one of my brothers pla... |
**OP's solution to the riddle "Wherever I may roam 2000"**
*individual lines get posted one by one, as they get solved*
The overall answer (provided by Walt) is
>! **Crow**
`(01)` I never give a single hair to the carder (by Walt)
>! This is just a general hint that we are dealing with a bird here. Birds hav... |
A community consists of 81 houses laid out in a 9 x 9 square grid. Every household is friends with their eight orthogonal and diagonal neighbors (except for the houses on the perimeter which have only three or five friends).
A subset of these houses believe in a certain baseless conspiracy theory. Now, the members ... |
This is also (one would hope) not the intended answer, but I'll go with the [garbagious](https://www.imdb.com/event/ev0005190/2018/1?ref_=ttawd_ev_4)
>! [Transformers: The Last Knight](https://www.imdb.com/title/tt3371366/?ref_=adv_li_tt).
That would be because to my eye white can only win by
>! running the La... |
This is also (one would hope) not the intended answer, but I'll go with the [garbagious](https://www.imdb.com/event/ev0005190/2018/1?ref_=ttawd_ev_4)
>! [Transformers: The Last Knight](https://www.imdb.com/title/tt3371366/?ref_=adv_li_tt).
That would be because to my eye white can only win by
>! sacrificing th... |
Let T(*n*) = 1 + 2 + 3 + ... + *n* be the *n*th triangular number.
For which *n*, if any, is it possible to split the first *n*(*n*+1)/2 positive integers into *n* sets, all of different sizes, and each of them with elements adding to a perfect square?
What if the squares must all be different? |
Let T(*n*) = 1 + 2 + 3 + ... + *n* be the *n*th triangular number.
For which *n*>1, if any, is it possible to split the first *n*(*n*+1)/2 positive integers into *n* sets, all of different sizes, and each of them with elements adding to a perfect square?
What if the squares must all be different? |
I once posted this problem on the (now deleted) Area 51 Math Puzzles proposal. It was well-received there, but obviously I didn't get an answer. I still don't know the answer, and I'm not even sure if it can be solved by pure mathematics. But I'm still curious, so here it goes.
---
Imagine a 8 × 8 checkerboard.
... |
> When you have it, you won't use it.
> When you are using it, you don't know how you are using it.
> When you don't have it, you wish you had more.
> For some people it will run, for others it lags.
What is it?
|
Use this tag for puzzles that are presented in the form of or include any of the various types of poetry.
# What is poetry?
Poetry is the use of stylized writing and rhythm to evoke feeling beyond just the words said.
Different use of rhyming schemes, syllable counts and emphasis can all be used to create diff... |
We are given two numbers, n and k. We have to find n numbers such that
$$
x_1 + x_2 + \cdots + x_n = k
$$
$$
x_1 * x_2 * .....* x_n = maximum
$$
1) What are the values of $ x_1, x_2, ...x_n$ if these numbers can be any real number ?
2) What are the values of $x_1, x_2...x_n$ if these numbers have to be n... |
We are given two numbers, n and k. We have to find n numbers such that
$$
x_1 + x_2 + \cdots + x_n = k
$$
$$
x_1 * x_2 * .....* x_n = maximum
$$
1) What are the values of $ x_1, x_2, ...x_n$ if these numbers can be any real number ?
2) What are the values of $x_1, x_2...x_n$ if these numbers have to be n... |
*<sup>You can find other Vowelburgers™ Riddles [here](https://puzzling.stackexchange.com/search?q=vowelburger+is%3Aquestion). Find the first one [here](https://puzzling.stackexchange.com/questions/92931/vowelburger-riddle?noredirect=1&lq=1).</sup>*
I ordered 5 Vowelburgers™ with buns, tomatoes, and meat - help me id... |
More elementary solution to the second part, as requested by OP; no calculus etc. required:
>! Obviously there is no solution if $k<0$, and there is only one possible solution if $k=0$. Let's suppose $k>0$. Now, suppose we have an optimal solution. (There's a technical issue here: it's conceivable that there might n... |
This is a variation of the Word Ladder. Instead this is a number ladder.
> Convert the number 12345 to the number 54321 in six or less steps
> with the following rules
A: You can only change any one digit at a time using digits 1 to 9
B: After the change the new number formed must be a Prime number
C: Th... |
<sup>An entry in [Fortnightly Topic Challenge #48: Unusual tag mix](https://puzzling.meta.stackexchange.com/questions/7149/fortnightly-topic-challenge-48-unusual-tag-mix)</sup>
---
I was looking at the unusual tag mixes post, and one of the ones listed is [tag:combinatorics] and [tag:english]. I thought "who's go... |
<sup>Inspired by [Avi's Vowelburger™ Riddle](https://puzzling.stackexchange.com/q/92931/18418)</sup>
I ordered some Vowelburgers™ abroad, but every menu had a printing error, so the restaurant just got rid of them. Regardless, they had something for everyone, offering the normal spread plus the unconventional "W" ... |
This is a variation of the Word Ladder. Instead this is a number ladder.
> Convert the number 12345 to the number 54321 in seven or less steps
> with the following rules
A: You can only change any one digit at a time using digits 1 to 9
B: After the change the new number formed must be a Prime number
C: ... |
We are given two numbers, n and k. Both, n and k are positive integers. We have to find n numbers such that
$$
x_1 + x_2 + \cdots + x_n = k
$$
$$
x_1 * x_2 * .....* x_n = maximum
$$
What are the values of $x_1, x_2...x_n$ in terms of k ?
P.S : This question is a follow up to the following question. In th... |
I once got a letter from my younger sister. It reads :-
> Hello brother,
>
> How are you? I am fine. I have seen you have given me a lot of gifts, thank you for that. Here's a present from my side. Since I like puzzles, I am giving you 3 notes with the letter as well. Do check it if you want. Happy Puzzling, hope ... |
We are given two numbers, n and k. We have to find n numbers such that
$$
x_1 + x_2 + \cdots + x_n = k
$$
$$
x_1 * x_2 * .....* x_n = maximum
$$
1) What are the values of $ x_1, x_2, ...x_n$ if these numbers can be any real number ?
2) What are the values of $x_1, x_2...x_n$ if these numbers have to be n... |
We are given two numbers, n and k. Both, n and k are positive integers. We have to find n numbers such that
$$
x_1 + x_2 + \cdots + x_n = k
$$
$$
x_1 * x_2 * .....* x_n = maximum
$$
What are the values of $x_1, x_2...x_n$ ? $x_1, x_2...x_n$ do not have to be positive integers .
P.S : This question ... |
Which famous movie is suggested by the following chess position (by Trevor Tao)?
[![enter image description here][1]][1]
[1]: https://i.stack.imgur.com/I2Meu.png |
I think that today's Vowelburger comes with
>! **B** and **D** buns and **N** cheese
Examples
>! **BAND** (not sure about this one but possibly referring to bands which act in a detaching manner, like band gaps in an electron).
>! **BEND** = disfigure.
>! **BIND** = detain.
>! **BOND** = settle (one d... |
We are given two numbers, n and k. We have to find n numbers such that
$$
x_1 + x_2 + \cdots + x_n = k
$$
$$
x_1 * x_2 * .....* x_n = maximum
$$
1) What are the values of $ x_1, x_2, ...x_n$ if these numbers can be any real number ?
2) What are the values of $x_1, x_2...x_n$ if these numbers have to be n... |
I think that today's Vowelburger comes with
>! **B** and **D** buns and **N** cheese
Examples
>! **BAND** (not sure about this one but possibly referring to bands which act in a detaching manner, like band gaps in an electron).
>! **BEND** = disfigure.
>! **BIND** = detain.
>! **BOND** = settle (one d... |
We are given two numbers, n and k. We have to find n numbers such that
$$
x_1 + x_2 + \cdots + x_n = k
$$
$$
x_1 * x_2 * .....* x_n = maximum
$$
1) What are the values of $ x_1, x_2, ...x_n$ if these numbers can be any real number ?
2) What are the values of $x_1, x_2...x_n$ if these numbers have to be n... |
We have to find n numbers such that
$$
x_1 + x_2 + \cdots + x_n = k
$$
$$
x_1 * x_2 * .....* x_n = maximum
$$
What are the values of $x_1, x_2...x_n$ ?
Note that $x_1, x_2...x_n$ are all positive integers .
P.S : |
We have to find n numbers such that
$$
x_1 + x_2 + \cdots + x_n = k
$$
$$
x_1 * x_2 * .....* x_n = maximum
$$
What are the values of $x_1, x_2...x_n$ ?
Note that $x_1, x_2...x_n$ are all positive integers .
P.S : I had posted a similar question before. In that question, $x_1, x_2...x_n$ could be an... |
I've been playing some Runescape lately and while training the "Thievery" skill, I encountered a little math question I would like to figure out:
The mechanics are simple: One after the other, the player picks up each fruit at random. If there are baskets in the player's inventory, certain fruits can be placed in th... |
I have thought up a sequence, and I name it the nice and round sequence. Its first 10 numbers are
>$15773, 29694, 165083, 276316, 496325, 498512, 702504, 719466, 808667, 826245$
>
>What is its pattern?
___
Hint 1:
>! More numbers of the sequence can be found in this spreadsheet
>!
>! https://docs.google.com/sp... |
I have thought up a sequence, and I name it the nice and round sequence. Its first 10 numbers are
>15773, 29694, 165083, 276316, 496325, 498512, 702504, 719466, 808667, 826245
>
>What is its pattern?
___
Hint 1:
>! More numbers of the sequence can be found in this spreadsheet
>!
>! https://docs.google.com/spre... |
<sub>*This is in the spirit of the What is a [Word™](https://puzzling.stackexchange.com/search?q=%22I+call+it%22+title%3A%22what+is%22+title%3Aword+is%3Aquestion)/[Phrase™](https://puzzling.stackexchange.com/search?q=%22I+call+it%22+title%3A%22what+is%22+title%3Aphrase+is%3Aquestion) series started by [JLee](https://pu... |
I once got a letter from my younger sister. It reads :-
> Hello brother,
>
> How are you? I am fine. I have seen you have given me a lot of gifts, thank you for that. Here's a present from my side. Since I like puzzles, I am giving you 3 notes with the letter as well. Do check it if you want. Happy Puzzling, hope ... |
<sup>An entry in [Fortnightly Topic Challenge #48: Unusual tag mix](https://puzzling.meta.stackexchange.com/questions/7149/fortnightly-topic-challenge-48-unusual-tag-mix)</sup>
---
Solve these puzzles to reveal why I made them.
Matriarch mostly prepared oats for American airline location (8)
AIRLINE + LOCAT... |
<sup>An entry in [Fortnightly Topic Challenge #48: Unusual tag mix](https://puzzling.meta.stackexchange.com/questions/7149/fortnightly-topic-challenge-48-unusual-tag-mix)</sup>
---
Solve these puzzles to reveal why I made them.
Matriarch mostly prepared oats for American airline location? (8)
AIRLINE + LOCA... |
I already posted this in a comment, but might as well make it an actual guess:
>! [*Henry VIII* (2003)](https://www.imdb.com/title/tt0382737/?ref_=fn_al_tt_1) (or maybe [*Henry VIII* (1979)](https://www.imdb.com/title/tt0080860/?ref_=fn_al_tt_3), or even [*Henry VIII: Man, Monarch, Monster*](https://www.imdb.com/tit... |
I think you did this for a
>! TEST
Matriarch mostly prepared oats for American airline location? (8)
>! The answer is **Sarasota**.
>! The matriarch is [Sarah](https://en.wikipedia.org/wiki/The_Legend_of_Mother_Sarah) from which we remove the last letter (mostly) and add **oats**, anagrammed (prepared)
AIRLI... |
In the square table below, fill in the missing countries. (The slightly different background color of the first row is not important; it's an artifact of how tables are implemented in Markdown)
| Afghanistan | Bosnia and<br>Herzegovina | France |
|:-------------------------------... |
It is well known that there is [no way](https://puzzling.stackexchange.com/q/462/70634) of arranging 4 queens on a checker board in such a way that every square is occupied or threatened.
Now consider the case of racist queens who dont think black squares matter:
> Can you place 3 queens on a standard 8x8 checker... |
It is well known that there is [no way](https://puzzling.stackexchange.com/q/462/70634) of arranging 4 queens on a checker board in such a way that every square is occupied or threatened.
Now consider the case of racist queens who don't think black squares matter:
> Can you place 3 queens on a standard 8x8 checke... |
It is well known that there is [no way](https://puzzling.stackexchange.com/q/462/70634) of arranging 4 queens on a checker board in such a way that every square is occupied or threatened.
Now consider the case of racist queens who don't think black squares matter:
> Can you place 3 queens on a standard 8x8 checke... |
The table below illustrates the availability of four interviewers (<sub>1</sub>, <sub>2</sub>, <sub>3</sub>, <sub>4</sub>) at four time slots (<sub>1</sub>, <sub>2</sub>, <sub>3</sub>, <sub>4</sub>). A 1 in the table indicates that the corresponding interviewer is available at the corresponding time slot.
For examp... |
A simple computer search quickly yields
>! 1687392.
Is a computerless solution required?
[EDITED to add the following: first steps toward a computerless answer.]
Let's see what we can do. So we have seven digits chosen from 123456789. We must include at least one of {3,6,9} so the number is going to have to... |
I'm laying on the highway, but you can't drive over me, for as soon as you're over me, I'm over you.
What am I? |
A simple computer search quickly yields
>! 1687392.
Is a computerless solution required?
[EDITED to add the following: first steps toward a computerless answer.]
>! Let's see what we can do. So we have seven digits chosen from 123456789. We must include at least one of {3,6,9} so the number is going to have... |
I have thought up a sequence, and I name it the nice and round sequence. Its first 10 numbers are
>15773, 29694, 165083, 276316, 496325, 498512, 702504, 719466, 808667, 826245
>
>What is its pattern?
___
Hint 1:
>! More numbers of the sequence can be found in this spreadsheet
>!
>! https://docs.google.com/spre... |
Functional inequality? |
> When speaking of doing this **everyday as a daily routine**, this is a **civilized** thing to do.
>
> When speaking of doing this **only when something's wrong**, this is a **nasty** thing to do.
What is this thing we all do? |
> When speaking of doing this **everyday as a daily routine**, this is a **civilized** thing to do.
>
> When speaking of doing this **only when something's wrong**, this is a **nasty** thing to do.
What is this thing we all do?
<sub>*Note: No censoring is required for this action in both cases.*</sub> |
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