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Puzzle for the Day


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1 minute ago, Commander said:

Can you explain how it fulfils the requirements. Not clear.

 

We have 9 numbers, 91/8 each. If we remove any of them, we get 8 equal numbers, which can obviously be arranged into two sets of equal sums.

If we add all numbers, we get 9*91/8 = 99/8. If we multiply all numbers, we get (91/8)9 = 99/8. They are equal.

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35 minutes ago, Commander said:

Very nice and elegant Solution though there is a simpler Solution !

Well done !!

Thanks.

I got a semi-mechanical way to generate solutions now. Here is another one, not simpler though:

Spoiler

4*3(17/81)1/8 + 5*(17/81)1/8

 

Edited by Genady
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3 hours ago, Commander said:

Very nice and elegant Solution though there is a simpler Solution !

Well done !!

I got a simple solution, perhaps the one you have in mind:

Spoiler

Seven 1's, one 3, and one 5.

7+3+5 = 15 = 3*5

Remove one 1: 3+4x1 = 5+2x1

Remove 3: 5+1 = 6x1

Remove 5: 3+2x1 = 5x1

 

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12 hours ago, Genady said:

I got a simple solution, perhaps the one you have in mind:

  Reveal hidden contents

Seven 1's, one 3, and one 5.

7+3+5 = 15 = 3*5

Remove one 1: 3+4x1 = 5+2x1

Remove 3: 5+1 = 6x1

Remove 5: 3+2x1 = 5x1

Absolutely Right ! Well done !!

 

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23 hours ago, Commander said:

Rearrange the following letters in a meaningful way

         🅶 🆁 🅸
         🅻 🅸 🅴
         🅽 🅳 🅽

𝙶 𝚁 𝙸
𝙻 𝙸 𝙴
𝙽 𝙳 𝙽
 

Letters can be rearranged in any way

 

16 hours ago, TheVat said:

Do the letters form a linen grid?

I hope they aren't a result of redlining.

😀

𝙶 𝚁 𝙸
𝙻 𝙸 𝙴
𝙽 𝙳 𝙽

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3 hours ago, Commander said:

𝙶 𝚁 𝙸
𝙻 𝙸 𝙴
𝙽 𝙳 𝙽
 

Letters can be rearranged in any way

 

𝙶 𝚁 𝙸
𝙻 𝙸 𝙴
𝙽 𝙳 𝙽

Do they need to stay in the 3x3 configuration?

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6 hours ago, Commander said:

But this is not the answer

There is not just one answer..

Dunno why, Linux has built-in English word dictionary with 100k+ English words in /usr/share/dict/words (and a couple other locations).

So:

$ cat /usr/share/dict/words | grep -Eo [redlining]{9} | wc -l

48
$ cat /usr/share/dict/words | grep -Eo [redlining]{9}
Spoiler

elligeren
elligeren
elligeren
elligeren
elligeren
elligeren
elligeren
elligeren
derringer
derringer
derringer
dinnering
engendere
engenderi
engineere
engineeri
engineeri
iligreein
ledgeling
ledgeling
ledgeling
riendlier
riendline
riendline
engineeri
ingredien
ingredien
ingredien
ennelling
lingering
lingering
lingering
lingering
reddening
rendering
rendering
rendering
idelining
niggering
irrelling
rrendered
rrenderin
riggering
nderlined
nderlinin
riendlier
riendline
riendline

Unfortunately, this method will also include repetition of some letters..

Do you see the word wanted by you in this list?

 

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3 minutes ago, Sensei said:

There is not just one answer..

Dunno why, Linux has built-in English word dictionary with 100k+ English words in /usr/share/dict/words (and a couple other locations).

So:

$ cat /usr/share/dict/words | grep -Eo [redlining]{9} | wc -l

48
$ cat /usr/share/dict/words | grep -Eo [redlining]{9}
  Reveal hidden contents

elligeren
elligeren
elligeren
elligeren
elligeren
elligeren
elligeren
elligeren
derringer
derringer
derringer
dinnering
engendere
engenderi
engineere
engineeri
engineeri
iligreein
ledgeling
ledgeling
ledgeling
riendlier
riendline
riendline
engineeri
ingredien
ingredien
ingredien
ennelling
lingering
lingering
lingering
lingering
reddening
rendering
rendering
rendering
idelining
niggering
irrelling
rrendered
rrenderin
riggering
nderlined
nderlinin
riendlier
riendline
riendline

Unfortunately, this method will also include repetition of some letters..

Do you see the word wanted by you in this list?

 

Maybe they want something that is 'meaningful' horizontally and vertically? What is the 'meaning' of the 3x3 arrangement?

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2 minutes ago, Genady said:

Maybe they want something that is 'meaningful' horizontally and vertically? What is the 'meaning' of the 3x3 arrangement?

There are just three vowels (e, i, i). There are not many words made up of consonants alone... If each row and column must have at least one vowel, they cannot have the same x and y index (which simplifies their search procedure). If one word has two vowels, then some word will have be made of just consonants..

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5 minutes ago, Sensei said:

If each row and column must have at least one vowel, they cannot have the same x and y index (which simplifies their search procedure)

Right. There are only 18 distinct possibilities for this, if I am not mistaken.

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 [repetition]

7 hours ago, Commander said:

No, not needed

You didn't comment on @TheVat's other suggestion. With a little modification, something like 

line 'n' grid

?

Edited by Genady
deleted
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11 hours ago, Genady said:

 [repetition]

You didn't comment on @TheVat's other suggestion. With a little modification, something like 

line 'n' grid

?

OK Sry I didn’t see that

Anyway that is not the answer

If I give a clue the answer may come out fast

To find the answer one needs to think of :

_ _ E _ _   a 5 letter word in which E is the only letter from the given 9 letters of the puzzle 

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3 hours ago, Commander said:

OK Sry I didn’t see that

Anyway that is not the answer

If I give a clue the answer may come out fast

To find the answer one needs to think of :

_ _ E _ _   a 5 letter word in which E is the only letter from the given 9 letters of the puzzle 

Perhaps I shouldn't take up this kind of puzzles because English is only my third language.

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