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Euler has design of a homepage and there is a link back to the overview for each solution.

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Felix Martin
2018-06-14 20:11:26 -04:00
parent 894160d1a0
commit c34ebd6181
48 changed files with 1134 additions and 2394 deletions
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ipython/html/EulerProblem031.html
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<!DOCTYPE html>
<html>
<head><meta charset="utf-8" />
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<title>EulerProblem031</title><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/2.0.3/jquery.min.js"></script>
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.ansi-bold { font-weight: bold; }
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<style type="text/css">
/* Overrides of notebook CSS for static HTML export */
body {
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</style>
<!-- Custom stylesheet, it must be in the same directory as the html file -->
<link rel="stylesheet" href="custom.css">
<link href="custom.css" rel="stylesheet"/>
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<script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.1/MathJax.js?config=TeX-AMS_HTML"></script>
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<script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.1/MathJax.js?config=TeX-AMS_HTML"></script>
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<script type="text/x-mathjax-config">
MathJax.Hub.Config({
tex2jax: {
inlineMath: [ ['$','$'], ["\\(","\\)"] ],
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<h1 id="Euler-Problem-31">Euler Problem 31<a class="anchor-link" href="#Euler-Problem-31">&#182;</a></h1><p>In England the currency is made up of pound, £, and pence, p, and there are eight coins in general circulation:</p>
<h1 id="Euler-Problem-31">Euler Problem 31<a class="anchor-link" href="#Euler-Problem-31"></a></h1><p><a href="/euler">Back to overview.</a></p><p>In England the currency is made up of pound, £, and pence, p, and there are eight coins in general circulation:</p>
<p>1p, 2p, 5p, 10p, 20p, 50p, £1 (100p) and £2 (200p).</p>
<p>It is possible to make £2 in the following way:</p>
<p>1×£1 + 1×50p + 2×20p + 1×5p + 1×2p + 3×1p</p>
<p>How many different ways can £2 be made using any number of coins?</p>
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<p>Let's do it non-recursive. Tricky part is to use ceil, otherwise we get wrong ranges for example for $\frac{50}{20}$.</p>
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<div class="prompt input_prompt">In&nbsp;[1]:</div>
<div class="prompt input_prompt">In [1]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">math</span> <span class="k">import</span> <span class="n">ceil</span>
<span class="nb">print</span><span class="p">(</span><span class="nb">list</span><span class="p">(</span><span class="nb">range</span><span class="p">(</span><span class="mi">50</span> <span class="o">//</span> <span class="mi">20</span><span class="p">)))</span>
<span class="nb">print</span><span class="p">(</span><span class="nb">list</span><span class="p">(</span><span class="nb">range</span><span class="p">(</span><span class="n">ceil</span><span class="p">(</span><span class="mi">50</span> <span class="o">/</span> <span class="mi">20</span><span class="p">))))</span>
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<pre>[0, 1]
[0, 1, 2]
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">math</span> <span class="k">import</span> <span class="n">ceil</span>
<span class="n">r</span> <span class="o">=</span> <span class="mi">200</span>
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<span class="n">s</span> <span class="o">=</span> <span class="n">c</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="nb">print</span><span class="p">(</span><span class="n">s</span><span class="p">)</span>
<span class="k">assert</span><span class="p">(</span><span class="n">s</span> <span class="o">==</span> <span class="mi">73682</span><span class="p">)</span>
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<pre>73682
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