filifa
/
dairydemon.net
1
0
Fork 0
Code Issues Pull Requests Packages Projects Releases Wiki Activity

add page description

This commit is contained in:
filifa 2025-07-27 14:16:03 -04:00
parent 65fc4af558
commit cab44e03d3
1 changed files with 51 additions and 1 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

52
eulerbooks/eulerbooks.html
View File

@ -14,7 +14,57 @@
</header>
<main>
<article>
<h1>Eulerbooks</h1>
<h1 id="eulerbooks">Eulerbooks</h1>
<p>This is a collection of Jupyter notebooks containing solutions and
discussions for the first 100 <a
href="https://projecteuler.net">Project Euler problems</a> using <a
href="https://www.sagemath.org">SageMath</a>.</p>
<p>My main goal with these notebooks is not simply to provide working
code for solving the problems. Frequently, solutions to these problems
are short, but they’re not always easy to follow without understanding
some important mathematical principles. Therefore, my aim is to provide
insight into the underlying algorithms and mathematical concepts that
make an efficient solution possible. I personally find that these
topics are frequently even more interesting than the problems
themselves, which I see as mainly existing to provide situations to
apply the concepts after learning about them. In short, it’s more about
the journey, not the destination, so these notebooks mainly exist to
discuss the former.</p>
<h2 id="approach">Approach</h2>
<p>Frequently, either Python or SageMath provide functions and
libraries that make it trivially easy to write a solution. I don’t have
a problem with presenting solutions that use these, since for practical
purposes, it’s better to use what’s already available than to reinvent
the wheel. It also tends to lead to code that is easy to read and
understand, which is the best kind of code.</p>
<p>However, when a function already exists that does the heavy lifting,
I also tend to provide my own basic implementation and an explanation
of why it works. This is especially true if a solution or algorithm is
based off of an important mathematical concept that is not especially
intuitive.</p>
<p>When not especially tedious, I like writing up solutions that do not
require programming at all, since these approaches often require
interesting mathematical techniques.</p>
<p>Another thing to note is that I don’t prioritize a solution’s
performance above all. When a solution is fast enough (using Project
Euler’s own “one-minute rule” as a rule of thumb), I instead usually
focus on making the code easy to read. You can basically always
optimize, but there are frequently diminishing returns, and it tends to
negatively impact readability. Once a solution is fast enough to solve
the problem at hand, I only consider optimizing further if the concepts
are reusable.</p>
<h2 id="solutions">Solutions</h2>
<p>Solutions are provided as non-interactive HTML renderings that you
can view directly in your browser. Alternatively, you can download the
Jupyter notebooks to play with them yourself. I've also marked some of
my favorite problems.</p>
<table>
<caption>
Project Euler solutions