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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
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<title>EulerProblem008</title><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script>
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<h1 id="Euler-Problem-8">Euler Problem 8<a class="anchor-link" href="#Euler-Problem-8">&#182;</a></h1><p>The four adjacent digits in the 1000-digit number that have the greatest product are 9 × 9 × 8 × 9 = 5832.</p>
<h1 id="Euler-Problem-8">Euler Problem 8<a class="anchor-link" href="#Euler-Problem-8"></a></h1><p><a href="/euler">Back to overview.</a></p><p>The four adjacent digits in the 1000-digit number that have the greatest product are 9 × 9 × 8 × 9 = 5832.</p>
<pre><code>73167176531330624919225119674426574742355349194934
96983520312774506326239578318016984801869478851843
85861560789112949495459501737958331952853208805511
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05886116467109405077541002256983155200055935729725
71636269561882670428252483600823257530420752963450</code></pre>
<p>Find the thirteen adjacent digits in the 1000-digit number that have the greatest product. What is the value of this product?</p>
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<p>We need the number as a list of integers first.</p>
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<div class="prompt input_prompt">In&nbsp;[1]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">remove_newlines</span><span class="p">(</span><span class="n">s</span><span class="p">):</span>
<span class="kn">import</span> <span class="nn">re</span>
<span class="k">return</span> <span class="n">re</span><span class="o">.</span><span class="n">sub</span><span class="p">(</span><span class="sa">r</span><span class="s1">&#39;\n&#39;</span><span class="p">,</span> <span class="s1">&#39;&#39;</span><span class="p">,</span> <span class="n">s</span><span class="p">)</span>
<span class="k">return</span> <span class="n">re</span><span class="o">.</span><span class="n">sub</span><span class="p">(</span><span class="sa">r</span><span class="s1">'\n'</span><span class="p">,</span> <span class="s1">''</span><span class="p">,</span> <span class="n">s</span><span class="p">)</span>
<span class="n">digits_string</span> <span class="o">=</span> <span class="s2">&quot;&quot;&quot;73167176531330624919225119674426574742355349194934</span>
<span class="n">digits_string</span> <span class="o">=</span> <span class="s2">"""73167176531330624919225119674426574742355349194934</span>
<span class="s2">96983520312774506326239578318016984801869478851843</span>
<span class="s2">85861560789112949495459501737958331952853208805511</span>
<span class="s2">12540698747158523863050715693290963295227443043557</span>
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<span class="s2">07198403850962455444362981230987879927244284909188</span>
<span class="s2">84580156166097919133875499200524063689912560717606</span>
<span class="s2">05886116467109405077541002256983155200055935729725</span>
<span class="s2">71636269561882670428252483600823257530420752963450&quot;&quot;&quot;</span>
<span class="s2">71636269561882670428252483600823257530420752963450"""</span>
<span class="n">digits</span> <span class="o">=</span> <span class="p">[</span><span class="nb">int</span><span class="p">(</span><span class="n">d</span><span class="p">)</span> <span class="k">for</span> <span class="n">d</span> <span class="ow">in</span> <span class="n">remove_newlines</span><span class="p">(</span><span class="n">digits_string</span><span class="p">)]</span>
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<p>Then we can use slicing to do a brute force.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">product</span><span class="p">(</span><span class="n">xs</span><span class="p">):</span>
<span class="kn">from</span> <span class="nn">operator</span> <span class="k">import</span> <span class="n">mul</span>
<span class="kn">from</span> <span class="nn">functools</span> <span class="k">import</span> <span class="n">reduce</span>
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<span class="k">assert</span><span class="p">(</span><span class="n">get_largest_product_of_n_digits</span><span class="p">(</span><span class="n">digits</span><span class="p">,</span> <span class="mi">13</span><span class="p">)</span> <span class="o">==</span> <span class="mi">23514624000</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">get_largest_product_of_n_digits</span><span class="p">(</span><span class="n">digits</span><span class="p">,</span> <span class="mi">13</span><span class="p">))</span>
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<pre>23514624000
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