Project Euler - What you've learned

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Edgardo
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So I registered on http://projecteuler.net/" and I must say: it's quite addictive!
I didn't expect it to be that much fun.

I'd like to share what things I've learned from solving the problems:


- When solving a problem you get access to a thread. I was impressed
how different the approaches are. People use "crazy languages" like K where
the code looks like this: */_*a@&1000=+/'a:b,'(_sqrt+/)'b*b:,/n,/:'1+!:'n:!1000

- http://en.wikipedia.org/wiki/Memoization" : Use results that you've calculated before

- Using http://psyco.sourceforge.net/" (a Python compiler) improved the Python performance of one my programs by a factor of 4.

- C++ is much faster than Python. But Python can handle really big numbers.
I will probably have to learn using http://gmplib.org/" .

- Java is fast. But the BigInteger datatype is slow (maybe I used it in the wrong way?) and hard to use :frown:


What did you learn (for example what kind of techniques boosted the speed
of your programs)?
What programming languages do you use and prefer?
 
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Hi, I registered in spoj.pl , www.topcoder.com[/url] , [url]www.codechef.com[/URL], and many acm judges ... i am chandubaba everywhere. Read the book "introduction to algorithms" by cormen, awesome! Very good for all these sites. But i am not there in project euler ... i am not familiar with gcj stuff. Also we need to do a lot of math (learn it fun way, ie not preparing for exam but for fun)... dynamic programming and graph theory seems to be everywhere at the elementary level.
 
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I learned:
C can handle bigger numbers than C++
Many algorithms are already better implemented than I ever could, especially in Mathematica
Thinking about a problem first can reduce the time needed to get the answer significantly
 
chandubaba said:
Hi, I registered in spoj.pl , www.topcoder.com[/url] , [url]www.codechef.com[/URL], and many acm judges ... i am chandubaba everywhere. Read the book "introduction to algorithms" by cormen, awesome! Very good for all these sites. But i am not there in project euler ... i am not familiar with gcj stuff. Also we need to do a lot of math (learn it fun way, ie not preparing for exam but for fun)... dynamic programming and graph theory seems to be everywhere at the elementary level.[/QUOTE]

Interesting. I'm currently reading Cormen's book and I like it. But I wouldn't have thought that it is actually useful for the problems on the aforementioned websites.
 
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There are larger int objects in C++ as well, however for project euler I can recommend vectorized python (numpy).
 
Project euler taught me the hard way about algorithm efficiency...
 
I learned that pretty much everything I ever need to implement has been implemented by an open source project somewhere along the line...
 
Edgardo what's your handle in topcoder?