Euler has design of a homepage and there is a link back to the overview for each solution.
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<title>EulerProblem002</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-2">Euler Problem 2<a class="anchor-link" href="#Euler-Problem-2">¶</a></h1><p>Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be:</p>
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<h1 id="Euler-Problem-2">Euler Problem 2<a class="anchor-link" href="#Euler-Problem-2">¶</a></h1><p><a href="/euler">Back to overview.</a></p><p>Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be:</p>
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<p>1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...</p>
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<p>By considering the terms in the Fibonacci sequence whose values do not exceed four million, find the sum of the even-valued terms.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">fibonacci_generator</span><span class="p">():</span>
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<span class="n">a</span> <span class="o">=</span> <span class="mi">0</span>
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<span class="n">b</span> <span class="o">=</span> <span class="mi">1</span>
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<span class="n">a</span><span class="p">,</span> <span class="n">b</span> <span class="o">=</span> <span class="n">b</span><span class="p">,</span> <span class="p">(</span><span class="n">a</span> <span class="o">+</span> <span class="n">b</span><span class="p">)</span>
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<p>Test fibonacci sequence generator by comparing the result to the example in the task statement.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">i</span> <span class="o">=</span> <span class="n">fibonacci_generator</span><span class="p">()</span>
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<span class="n">fib_10</span> <span class="o">=</span> <span class="p">[</span><span class="nb">next</span><span class="p">(</span><span class="n">i</span><span class="p">)</span> <span class="k">for</span> <span class="n">_</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">10</span><span class="p">)]</span>
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<span class="k">assert</span><span class="p">(</span><span class="n">fib_10</span> <span class="o">==</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">13</span><span class="p">,</span> <span class="mi">21</span><span class="p">,</span> <span class="mi">34</span><span class="p">,</span> <span class="mi">55</span><span class="p">,</span> <span class="mi">89</span><span class="p">,])</span>
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<p>Greate a function which returns all even-valued fibonacci values smaller or equal to four million.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">get_even_fibonaccis_smaller_or_equal_four_million</span><span class="p">():</span>
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<span class="n">r</span> <span class="o">=</span> <span class="p">[]</span>
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<span class="n">i</span> <span class="o">=</span> <span class="n">fibonacci_generator</span><span class="p">()</span>
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<span class="n">current_value</span> <span class="o">=</span> <span class="nb">next</span><span class="p">(</span><span class="n">i</span><span class="p">)</span>
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<span class="k">return</span> <span class="n">r</span>
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<p>Calculate the solution.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">f</span> <span class="o">=</span> <span class="n">get_even_fibonaccis_smaller_or_equal_four_million</span><span class="p">()</span>
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<span class="nb">print</span><span class="p">(</span><span class="nb">sum</span><span class="p">(</span><span class="n">f</span><span class="p">))</span>
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<pre>4613732
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<p>I looked at the solutions in the forum and I kind of forgot about simple straight forward approaches. There is no need to create a list and the sum it up. Instead I can simply increment a counter which will be much faster, but less readable maybe.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">r</span><span class="p">,</span> <span class="n">a</span><span class="p">,</span> <span class="n">b</span> <span class="o">=</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">1</span>
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<span class="k">while</span> <span class="n">b</span> <span class="o"><=</span> <span class="mi">4000000</span><span class="p">:</span>
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<span class="nb">print</span><span class="p">(</span><span class="n">r</span><span class="p">)</span>
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<pre>4613732
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