Re: The Project Euler thread
finally 
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CRT?

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I solved by pattern recognition

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>_> I hate geometry problems 
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that one is really easy though, you really don't need any crazy geometry stuff

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oh hey i'm posting in this thread again
as embarrassing as it is to say, i just got level 2 because i skimped on doing the easy problems a long time ago 
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friendcode?

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well yeah it looked scary though 
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fuck da popo i'm public now 
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cool 
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PE site is down :(

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yeah :(

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Well I still have a whole list of unsolved problems in one page, so I can still work on things
Right now I'm working on p270 cutting square one 
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I think I solved it... but how do I check :(
EDIT: thx reincarnate (O: 
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ETA

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what happened wtf ;_;

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Eta 18

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uh oh. I guess you can verify by looking up solutions, but that's not nearly as satisfying as seeing a big checkmark.

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ETA

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N/A

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Haha

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Site is up, limited form

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ETA

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who knows

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So recently I've gotten more motivation to do smartsy stuff so I picked this up again. (unfortunately we can't have our accounts back yet, if ever)
In any case, I'm currently working on 65. What I don't understand is how someone would go about finding a solution more rigorously. 
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If that pattern works, shouldn't you use dynamic programming?

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Yeah, I noticed that was the point a bit later. Anyway, I'm taking a look into it, I'll let you know if I get something.

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to prove it, we define sequences of numbers using this relation and show that they have the properties we want using induction. so for a given continued fraction [a0; (a1, a2, a3...)] (using the notation in the question) we define p0 = a0 p1 = a0*a1 + 1 q0 = 1 q1 = a1 p_n = a_n*p_(n1) + p_(n2) and q_n = a_n*q_(n1) + q_(n2) we want to prove p_n / q_n = [a0; (a1, a2, ..., a_n)] we use induction. n=0 and n=1 are boring assume true for n=k then [a0; (a1, a2, ..., a_(k+1))] = [a0; (a1, a2, ..., a_k + 1/a_(k+1))] = ( a_k + 1/a_(k+1) )*p_(k1) + p_(k2)  ( a_k + 1/a_(k+1) )*q_(k1) + q_(k2) = a_k*p_(k1) + p_(k2) + p_(k1)/a_(k+1)  a_k*q_(k1) + q_(k2) + q_(k1)/a_(k+1) = p_k + p_(k1)/a_(k+1)  q_k + q_(k1)/a_(k+1) = a_(k+1)*p_k + p_(k1)  a_(k+1)*q_k + q_(k1) = p_(k+1)/q_(k+1) which completes the induction finally we need to prove that these fractions p_n/q_n are irreducible to do this we prove that: p_n*q_(n1)  q_n*p_(n1) = (1)^(n+1) and you do an induction sort of like the previous one. from this it follows instantly that p_n and q_n are coprime, so these recurrences give you the fractions in lowest terms. edit: does anybody know when the fuck i'll be able to log into project euler again because (1) i want to see which problems i've solved and (2) most importantly i want that dark website background back like i've always been used to using, which i can only access while logged in 
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Re: The Project Euler thread
aaaaaaaaaaaaaaaaaaand live

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\o/

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thread revive

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This thread needs more action
New problem up in 2.5 hours 
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I'm too stupid I don't have a sufficient math foundation to do stuff over 50 probably. 
Re: The Project Euler thread
Sort by difficulty instead

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I tried 206 earlier and failed.
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Re: The Project Euler thread
Find x where x^2 = 1_2_3_4_5_6_7_8_9_0
You know the last blank must be a 0. So now if we divide by 100: x^2/100 = 1_2_3_4_5_6_7_8_9 (x/10)^2 = 1_2_3_4_5_6_7_8_9 Since the righthand number ends in 9, we know x/10 must end in either 3 or 7. That should cut things down some. 
Re: The Project Euler thread
Oh hey, I never noticed this thread. I primarily got into programming this/last year and project euler has been fun for me testing out my math skills and my programming skills.
I've solved 112, 14, 16, and 20. I'll probably work on 13 now. 
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Try sorting by difficulty, too  there are easy / good problems later on in the problem set, too.

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bump because site just got unhacked, and also the solution to 175 just blew my god damn mind
too lazy to do 1100 again anyone else still bother with this? 
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bump again because this thread needs a serious revival
I'll solve some problems when I get home. 85/535 
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so I just learned how to code anything a few weeks ago. I'm not inherently great at mathematics but given my field of study I kinda have to get on it quickly.
got a long way to go. Using Java 
Re: The Project Euler thread
Oh sweet, there's a whole sticky thread for PE on FFR?! I'm surprised at the overlap between people interested in these two things...
Anyhow, I've decided to force myself to work through the problems in sequence, so that I can't just skip the harder problems. I'm currently on 156. How's everyone else doing? 
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I've considered picking back up PE just so I can claim this thread as my stomping grounds. I don't find most of PE to really be conducive to the kind of practice I find useful, but I've recently been rusting up in programming mostly due to not having time on my hands for more involved things, so it might be worth picking this back up.

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Turned out to be pretty straightforward. Moving on! 157 next. EDIT: I'll take it. Done 158 ages ago, 159 next... EDIT: Well that was quick. 
Re: The Project Euler thread
A reminder that this exists

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Damn I should get back into this. I've been kinda upset with my algorithmic deficiency lately while not accepting the fact that it means that I should like... you know, practice.

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legitimately have no fucking clue why i was trying to teach myself basic

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Oh yeah, I was gonna start this eventually

Re: The Project Euler thread
Just found my account from 12 years ago, I had 133 out of the first 206 problems but I've probably forgotten how to do most of the clever ones.

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