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Offline Phaedrus

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Brain Teasers
« on: January 18, 2008, 12:51:23 pm »
Pentru ca vad ca exista ceva chef, deschid acest topic destinat problemelor de logica, matematica and so on.

Incep eu cu o chestie banala.. n-am timp sa caut foarte mult.

Quote
The beginning of a well known book has been encrypted below. Each letter of the alphabet has been replaced by another using a simple substitution technique. For example, A may always be represented by G, etc. Can you name the book?

    "B dj blrtquctek tm cmjjulbcdte tm abj," rdbk Jq. Fdsseqr, taqmwbls abr nblseq dt je rbkewdyr, "tadt ae wbhh cmje bltm d adlkrmje oqmoeqty. Nuqtaeq, tadt bt br tae kerbqe mn tae oqerelt omrrerrmq mn tadt oqmoeqty, tadt ae ie bjjekbdtehy qejmvek nqmj abr oqerelt roaeqe mn hbne dlk nqmj tabr ohdce, dlk ie iqmusat uo dr d selthejdl - bl d wmqk, dr d ymuls nehhmw mn sqedt exoectdtbmlr."


A, inca una:

Quote
An Arab sheikh tells his two sons to race their camels to a distant city to see who will inherit his fortune. The one whose camel is slower will win. The brothers, after wandering aimlessly for days, ask a wise man for advice. After hearing the advice they jump on the camels and race as fast as they can to the city.
What does the wise man say?

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Offline Costas

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Re: Brain Teasers
« Reply #1 on: January 18, 2008, 12:54:14 pm »
la cea cu arabii, daca bine imi aduc aminte era sa fure fiecare camila celuilalt si sa ajunga cat mai repede in celalalt oras
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METALHEAD Forum

Re: Brain Teasers
« Reply #1 on: January 18, 2008, 12:54:14 pm »

Offline Phaedrus

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Re: Brain Teasers
« Reply #2 on: January 18, 2008, 01:32:08 pm »
yep

am uitat sa zic, puteti baga, poa' sa mearga mai multe in paralel
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Offline Costas

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Re: Brain Teasers
« Reply #3 on: January 18, 2008, 02:15:01 pm »
Quote
A table tennis ball (= ping pong ball) fell into a tight deep pipe (amendment: eg. 30 cm long, buried in concrete pavement - having firm metal bottom, only 1 cm of the pipe is above the ground - so it can not be moved). The pipe was only a bit wider than the ball, so you can not use your hand. How would you take it out, with no damage?

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Offline Phaedrus

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Re: Brain Teasers
« Reply #4 on: January 18, 2008, 02:18:43 pm »
veeeeeeche
apa ;D
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Offline Überschwein

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Re: Brain Teasers
« Reply #5 on: January 18, 2008, 02:18:58 pm »
daca tzeava'i in ciment, sau daca stii unde ie celalalt capat al ei, ie suficient sa torni apa. bila o sa stea deasupra, ca'i plina de aer si asa o sa iasa, fara niciun damaj.
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Quote from: Ciprian on March 10, 2011, 02:39:26 pm
eu apreciez trupa nu datorita elementelor folosite, ci a felului cum sunt ambalate

Offline Überschwein

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Re: Brain Teasers
« Reply #6 on: January 18, 2008, 02:19:14 pm »
cac*t >:(
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Offline Costas

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Re: Brain Teasers
« Reply #7 on: January 18, 2008, 02:21:13 pm »
Quote
This is a logic puzzle published in Martin Gardner's column in the Scientific American.
You are in a room where there are no metal objects except for two iron rods. Only one of them is a magnet.
How can you identify this magnet?


Quote
A square medieval castle on a square island was under siege. All around the island, there was a 10 metre wide water moat. But the conquerors could make foot-bridges only 9.5 metres long. Nevertheless a wise man was able to figure out how to get over the water. What do you think was his advice?
(There's a place on the other side to put the bridge against, not just a sheer wall. the water moat has square corners - that section of the moat is about 14.1 metres wide.)

« Last Edit: January 18, 2008, 02:23:08 pm by Costas »
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Offline Phaedrus

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Re: Brain Teasers
« Reply #8 on: January 18, 2008, 02:24:09 pm »
poti sa rupi betele in doo? ;D
ca banuiesc ca un fir de care sa agati unu' n-ai..
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Offline Costas

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Re: Brain Teasers
« Reply #9 on: January 18, 2008, 02:25:15 pm »
la cel cu betele de metal, le legi de un fir si cel magnetic se misca indicand nordu :P
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Offline Phaedrus

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Re: Brain Teasers
« Reply #10 on: January 18, 2008, 02:29:27 pm »
la ala cu moat'u..iti cam da mura-n gura cu square corners
pui cam asa:

|
|       /
|\    /
|  \/
|    \
|___\_____
« Last Edit: January 18, 2008, 02:36:18 pm by Phaedrus »
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Offline VampiricInstinct

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Re: Brain Teasers
« Reply #11 on: January 18, 2008, 02:34:31 pm »
pt cea cu magnetul cred ca mai intai cauti bucata de fier si apoi cu ea cauti magnetul lipindu-l de obiecte.
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Offline Phaedrus

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Re: Brain Teasers
« Reply #12 on: January 18, 2008, 02:35:22 pm »
huh? ce obiecte? nu ai decat barele de metal, una din ele fiind magnetica
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Offline VampiricInstinct

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Re: Brain Teasers
« Reply #13 on: January 18, 2008, 02:38:56 pm »
nu cred ca e corect cum am zis dar oricum in camera pot sa fie si altfel de obiecte.

"no metal objects except for two iron rods" -asta nu inseamna ca nu pot fi si alte obiecte...
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Offline Phaedrus

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Re: Brain Teasers
« Reply #14 on: January 18, 2008, 02:39:33 pm »
pai da, si cu ce te ajuta alea nu din metal?
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Offline VampiricInstinct

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Re: Brain Teasers
« Reply #15 on: January 18, 2008, 02:43:50 pm »
daca problema intreaba cum se poate identifica magnetul dintre cele 2 bare atunci inseamna ca am inteles gresit,iar daca se refera la identificarea magnetului dintre toate obiectele s-ar putea sa mai am o sansa....
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Offline Costas

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Re: Brain Teasers
« Reply #16 on: January 18, 2008, 02:44:59 pm »
Quote
Three goddesses were sitting in an old Indian temple. Their names were Truth (always true), Lie (always lying) and Wisdom (sometimes lying). There was the following conversation:
Asking the left one: "Who is sitting next to you?"
"Truth," she answered.
Asking the middle one: "Who are you?"
"Wisdom."
And at last question for the right one: "Who is your neighbor?"
"Lie," she replied.
Now it is clear who is who.

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Offline Phaedrus

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Re: Brain Teasers
« Reply #17 on: January 18, 2008, 02:51:09 pm »
pai e clar ca wisdom minte, ca toate 3 vorbesc despre aceeasi zeita
deci wisdom nu poate fi in mijloc, nici truth -> in mijloc e lie, in dreapta e truth, in stanga e wisdom
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Offline Überschwein

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Re: Brain Teasers
« Reply #18 on: January 18, 2008, 02:56:51 pm »
daca ie regula de tradus in .ro la stiri, albume, trupe, concerte blabla, ar trebui sa fie si aici.

(plus ca se poate da search pe gugal destul de usor dupa textu'n engleza)


my turn:

ca sa prajesti o chiftea, tre' s'o tii 5 minute p'o parte si 5 minute p'alalalta parte.
ai o tigae cu capacitate macsima: doo chiftele.
care'i timpu' minim ca sa prajesti 3?
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Offline Phaedrus

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Re: Brain Teasers
« Reply #19 on: January 18, 2008, 03:00:17 pm »
cinspe
pui doo, dupa 5 min pe una o intorci, pe cealalta o scoti si o pui pe a 3-a, dupa inca 5 o scoti pe prima si o pui pe a doua in locu' ei, iar pe a 3-a o intorci


L.E. de acord cu tradusul
« Last Edit: January 18, 2008, 03:00:47 pm by Phaedrus »
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Offline VampiricInstinct

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Re: Brain Teasers
« Reply #20 on: January 18, 2008, 03:00:49 pm »
20 minute pt cea cu chiftele

le: damn...i need to think more and talk less...
« Last Edit: January 18, 2008, 03:03:26 pm by VampiricInstinct »
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Offline Überschwein

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Re: Brain Teasers
« Reply #21 on: January 18, 2008, 03:05:56 pm »
bai, instinctule, nu ti'e clar ca aicea's joace d'alea de tre' sa gandesti la ele?
nu baga solutia care'i la mintea cocosului, c'o dai in bara si te faci de cacao....

ontopique:

ai doi berbeci legati. unu' se uita'ntr'un punct cardinal, altu' se uita'ntr'un punct cardinal opus.
po' sa se uite unu'n ochii altuia?
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Offline Phaedrus

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Re: Brain Teasers
« Reply #22 on: January 18, 2008, 03:07:12 pm »
la urmatoarea ii rog pe altfell si cristi sa se abtina:

Un rege avea 1000 de butoaie de vin, iar intr-o luna urma sa dea un banchet. Stia ca unul din butoaie e otravit, dar nu care, mai stia si ca mori in fix o luna daca bei din vinul otravit. Avea 10 servitori, toti "disposable" ;D. Cum a aflat care e butoiul otravit?
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Offline Loki

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Re: Brain Teasers
« Reply #23 on: January 18, 2008, 03:16:34 pm »
Deci am facut cateva litere pt alfabetu lu Phaedrus; nu mai am timp acum sa termin tot:

litera   echivalent
A   H
b   I
d   a
e   e
j   m
k   d
k   d
l   n
m   o
q   r
r   s
s   g
t   t
w   w
y   y

Cred ca mai trebuie vreo 5-10 litere....
« Last Edit: January 18, 2008, 03:16:59 pm by Loki »
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Quote
All those who proclaim that dog is man's best friend, have evidently not played with the pussy.

Offline Phaedrus

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Re: Brain Teasers
« Reply #24 on: January 18, 2008, 03:19:43 pm »
da, sunt corecte..de aici e banal
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Offline Loki

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Re: Brain Teasers
« Reply #25 on: January 18, 2008, 03:41:15 pm »
In tinerete am citit o nuvela de E.A. Poe in care explica cum poti sa spargi orice cod de acest gen, chiar si daca nu ai folosi litere normale, ci alte simboluri - daca stii in ce limba este textul.
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Offline Loki

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Re: Brain Teasers
« Reply #26 on: January 18, 2008, 04:37:45 pm »
@porc: iti legi face to face, adica asa: -oo> <00-

@ Phaedrus: fiecare gusta din 999 de butoaie; ala care nu moare, nu a gustat din cel otravit...
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Offline Phaedrus

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Re: Brain Teasers
« Reply #27 on: January 18, 2008, 04:40:39 pm »
huh? foarte probabil mor toti
si n-ai aflat nimic
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Offline Loki

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Re: Brain Teasers
« Reply #28 on: January 18, 2008, 04:41:49 pm »
Stai ca nu stiu cum am gandit; cifra nu e buna. be right back :)
statistic ai dreptate, nu stiu ce draq am gandit
« Last Edit: January 18, 2008, 04:42:59 pm by Loki »
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Offline Loki

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Re: Brain Teasers
« Reply #29 on: January 21, 2008, 10:38:00 am »
Ok, am gasit o varianta prin care elimin vreo 750 de butoaie... inca un pic!
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Offline Phaedrus

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Re: Brain Teasers
« Reply #30 on: January 21, 2008, 10:40:03 am »
sa-mi ziceti cand va dati batuti ;D
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Offline Loki

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Re: Brain Teasers
« Reply #31 on: January 21, 2008, 10:53:31 am »
Io maj da de acu , pt ca am o groaza de munca si nu mai pot pierde timpu... dar mai asteapta pana maine, poate mai imi fac timp sa ma chinui...
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Offline Loki

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Re: Brain Teasers
« Reply #32 on: January 21, 2008, 04:28:05 pm »
Cred ca m-am prins...
E ceva de genul: din primele 10 butoaie gusta cate un servitor; din urmatoarele 9, gusta primul servitor si ceilalti 9; din urmatoarele 0 gusta primii 2 si ceilati 8 etc.
Adica avem suma de combinari de 10 luate cate 1, cate 2, cate...9
Adica in total 1022 de combinatii unice
care acopera cele 1000 de butoaie
varianta care omoara tot e butoiul otravit.

LE: poti face de fapt 1023 combiantii unice de 1, 2, 3,...10 servitori; uitasem ca e si varinata cu toti :)

Logic ca retii care din ce butoi a gustat,,,
« Last Edit: January 21, 2008, 04:36:40 pm by Loki »
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Offline Phaedrus

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Re: Brain Teasers
« Reply #33 on: January 21, 2008, 04:40:18 pm »
Am inteles io mai greu, da' solutia e buna. Explicata mai simplu:
1. Numerotezi butoaiele
2. Transformi in binar
3. Numerotezi servitorii
4. Ii pui sa deguste, din fiecare butoi, pe cei carora le corespunde cifra 1 din numarul butoiului - de ex. butoiul 569 (1000111001) gusta servitorii 1, 5, 6, 7, 10, din butoiul 8 (0000001000) gusta servitorul 7
5. Dupa o luna, vor muri cativa din servitori - numarul (in binar) format punand 1 in dreptul celor morti si 0 in dreptul celor vii este numarul butoiului - de ex daca mor 1, 5, 6, 7, 9 butoiul otravit este 570 (1000111010)

Matematic, solutia e identica cu cea propusa de Loki
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Offline Loki

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Re: Brain Teasers
« Reply #34 on: January 21, 2008, 04:41:48 pm »
Deci da. Matematica vs programare! doar un programator dadea solutii in binar!

M-am chinuit putin sa inteleg solutia. Dar intr-adevar, e acelasi lucru - 1 din numarul butoiului insemna ca gusta cel de la pozitia aia... deci exact combinatiile; e aceeasi solutie...
« Last Edit: January 21, 2008, 04:43:33 pm by Loki »
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Offline Phaedrus

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Re: Brain Teasers
« Reply #35 on: January 21, 2008, 04:44:11 pm »
tot matematica e bah ;D
hai cu problemele!
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Offline Loki

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Re: Brain Teasers
« Reply #36 on: January 21, 2008, 04:48:51 pm »
Chiar, s-a rezolvat cam tot ce era propus... asa ca veniti cu probleme, alfel postez neverending story!
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Offline Überschwein

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Re: Brain Teasers
« Reply #37 on: January 22, 2008, 12:06:18 am »
baaaaaa, ce simplu erea, fmm......
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Offline altfell

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Re: Brain Teasers
« Reply #38 on: January 22, 2008, 12:44:35 am »
Quote
The beginning of a well known book has been encrypted below. Each letter of the alphabet has been replaced by another using a simple substitution technique. For example, A may always be represented by G, etc. Can you name the book?

    "B dj blrtquctek tm cmjjulbcdte tm abj," rdbk Jq. Fdsseqr, taqmwbls abr nblseq dt je rbkewdyr, "tadt ae wbhh cmje bltm d adlkrmje oqmoeqty. Nuqtaeq, tadt bt br tae kerbqe mn tae oqerelt omrrerrmq mn tadt oqmoeqty, tadt ae ie bjjekbdtehy qejmvek nqmj abr oqerelt roaeqe mn hbne dlk nqmj tabr ohdce, dlk ie iqmusat uo dr d selthejdl - bl d wmqk, dr d ymuls nehhmw mn sqedt exoectdtbmlr."


se inlocuiesc pe rand.. 'rdbk' cu 'said'.. respectiv 'said' cu 'rdbk'... apoi 'B' cu 'I', 'dj' cu 'am', 'Jq' cu 'Mr'...
'nblseq' ajunge 'nilqer' si se inlocuieste cu 'finger' si Fdsseqr -> Faqqers => laggers
tj cjmmunicate tj => to communicate to
wikk cu will
jrojerty cu property

si cu asta basta:

"I am instructed to communicate to him," said mr. Kaggers, throwing his finger at me sideways, "that he will come into a handsome property. Further, that it is the desire of the present possessor of that property, that he be immediately removed from his present sphere of life and from this place, and be brought up as a gentleman - in a word, as a young fellow of great expectations...

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Offline credal

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Re: Brain Teasers
« Reply #39 on: January 22, 2008, 08:53:28 am »
La problema asta se presupunea ca e in engleza, ca altfel era mai greu. Si parca a dat si Loki o rezolvare.  ;)
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Offline Loki

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Re: Brain Teasers
« Reply #40 on: January 22, 2008, 09:06:55 am »
Am dat 15 litere ca m-am plictisit.
Se pleaca de la cateva principii simple: cuvintele de o singura litera sunt in general "I"; cea mai des folosita litera in engleza este "E"; grupul de 2 cuvinte cel mai utilizat este normal "th". si asa mai departe...

Incerc eu sa imi aduc aminte o problema.
Nu mai stiu contextul exact, dar ai 10 pomi, pe care trebuie sa ii plantezi astfel incat sa ai 5 randuri de cate 4... cum e aranjamentul?
« Last Edit: January 22, 2008, 09:08:56 am by Loki »
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Offline Phaedrus

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Re: Brain Teasers
« Reply #41 on: January 22, 2008, 09:44:55 am »
merg chiar 7

* * * * * * * * * *
|primul|   
  |al 2lea| 
     |al 3lea|
        |al 4lea|
etc

sau n-am voie? ;D
             
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Offline Phaedrus

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Re: Brain Teasers
« Reply #42 on: January 22, 2008, 10:18:37 am »
si o solutie mai "ortodoxa":

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Offline Loki

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Re: Brain Teasers
« Reply #43 on: January 22, 2008, 10:33:34 am »
De fapt, solutia pe care o stiam eu era chiar pagana/satanista... nu ma prind cum prima la care te gandeai; a doua e urata :D
LE: am uitat un punct rosu, da' va prindeti voi...

« Last Edit: January 22, 2008, 10:34:14 am by Loki »
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Offline altfell

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Re: Brain Teasers
« Reply #44 on: January 22, 2008, 10:37:42 am »
orice intersectare de 5 drepte neparalele va duce la obtinerea a 10 puncte de intersectie... toata chestia e sa fie distincte.. adica 3 drepte sa nu se intersecteze in acelasi punct.
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Offline Phaedrus

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Re: Brain Teasers
« Reply #45 on: January 22, 2008, 10:43:37 am »
evident, si cum fiecare dreapta se intersecteaza cu alte 4...there you have it
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Offline Loki

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Re: Brain Teasers
« Reply #46 on: January 22, 2008, 10:44:48 am »
Nu uitati ca trebuie sa fie colineare 4 cate 4 puncte!  Nu e chiar asa usor....
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Offline altfell

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Re: Brain Teasers
« Reply #47 on: January 22, 2008, 10:55:19 am »
Dap.. ai dreptate.. e mai dificil sa fie coliniare 4 cate 4 puncte decat sa fie 4 puncte pe o dreapta.. ;D
« Last Edit: January 22, 2008, 10:55:37 am by altfell »
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Offline credal

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Re: Brain Teasers
« Reply #48 on: January 22, 2008, 10:58:02 am »
Fi'v'ar punctele si dreptele. Mai bagati si voi niste probleme sa rezolve si mintea mea.  :)
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Offline Loki

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Re: Brain Teasers
« Reply #49 on: January 22, 2008, 10:59:43 am »
Quote from: altfell on January 22, 2008, 10:55:19 am
Dap.. ai dreptate.. e mai dificil sa fie coliniare 4 cate 4 puncte decat sa fie 4 puncte pe o dreapta.. ;D


Completarea lui Phaedrus a venit in timp ce postam eu... dap, you are right; mi se pare ca era o chestie si sa fie la aceeasi distanta copacii  unu de celalalt :))
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