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Tried to solve 55 till 57.

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Felix Martin
2018-12-24 17:15:19 -05:00
parent 4acfe89f92
commit 147a13a01f
6 changed files with 417 additions and 4 deletions
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@@ -11796,6 +11796,92 @@ div#notebook {
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">get_digit_count</span><span class="p">(</span><span class="n">n</span><span class="p">):</span>
<span class="n">c</span> <span class="o">=</span> <span class="mi">1</span>
<span class="k">while</span> <span class="n">n</span><span class="p">:</span>
<span class="n">n</span> <span class="o">+=</span> <span class="mi">1</span>
<span class="n">n</span> <span class="o">//=</span> <span class="mi">10</span>
<span class="k">return</span> <span class="n">d</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">gcd</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">):</span>
<span class="k">if</span> <span class="n">b</span> <span class="o">&gt;</span> <span class="n">a</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="n">b</span><span class="p">,</span> <span class="n">a</span>
<span class="k">while</span> <span class="n">a</span> <span class="o">%</span> <span class="n">b</span> <span class="o">!=</span> <span class="mi">0</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="n">b</span><span class="p">,</span> <span class="n">a</span> <span class="o">%</span> <span class="n">b</span>
<span class="k">return</span> <span class="n">b</span>
<span class="k">assert</span><span class="p">(</span><span class="n">gcd</span><span class="p">(</span><span class="mi">100</span><span class="p">,</span> <span class="mi">35</span><span class="p">)</span> <span class="o">==</span> <span class="mi">5</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">add_fractions</span><span class="p">(</span><span class="n">n1</span><span class="p">,</span> <span class="n">d1</span><span class="p">,</span> <span class="n">n2</span><span class="p">,</span> <span class="n">d2</span><span class="p">):</span>
<span class="n">d</span> <span class="o">=</span> <span class="n">d1</span> <span class="o">*</span> <span class="n">d2</span>
<span class="n">n1</span> <span class="o">=</span> <span class="n">n1</span> <span class="o">*</span> <span class="p">(</span><span class="n">d</span> <span class="o">//</span> <span class="n">d1</span><span class="p">)</span>
<span class="n">n2</span> <span class="o">=</span> <span class="n">n2</span> <span class="o">*</span> <span class="p">(</span><span class="n">d</span> <span class="o">//</span> <span class="n">d2</span><span class="p">)</span>
<span class="n">n</span> <span class="o">=</span> <span class="n">n1</span> <span class="o">+</span> <span class="n">n2</span>
<span class="n">p</span> <span class="o">=</span> <span class="n">gcd</span><span class="p">(</span><span class="n">n</span><span class="p">,</span> <span class="n">d</span><span class="p">)</span>
<span class="k">return</span> <span class="p">(</span><span class="n">n</span> <span class="o">//</span> <span class="n">p</span><span class="p">,</span> <span class="n">d</span> <span class="o">//</span> <span class="n">p</span><span class="p">)</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">next_expension</span><span class="p">(</span><span class="n">n</span><span class="p">,</span> <span class="n">d</span><span class="p">):</span>
<span class="n">n</span><span class="p">,</span> <span class="n">d</span> <span class="o">=</span> <span class="n">add_fractions</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="n">n</span><span class="p">,</span> <span class="n">d</span><span class="p">)</span>
<span class="k">return</span> <span class="n">add_fractions</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="n">d</span><span class="p">,</span> <span class="n">n</span><span class="p">)</span>
<span class="n">c</span> <span class="o">=</span> <span class="mi">0</span>
<span class="n">n</span><span class="p">,</span> <span class="n">d</span> <span class="o">=</span> <span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1000</span><span class="p">):</span>
<span class="k">if</span> <span class="n">get_digit_count</span><span class="p">(</span><span class="n">n</span><span class="p">)</span><span class="o">&gt;</span> <span class="n">get_digit_count</span><span class="p">(</span><span class="n">d</span><span class="p">):</span>
<span class="n">c</span> <span class="o">+=</span> <span class="mi">1</span>
<span class="n">n</span><span class="p">,</span> <span class="n">d</span> <span class="o">=</span> <span class="n">next_expension</span><span class="p">(</span><span class="n">n</span><span class="p">,</span> <span class="n">d</span><span class="p">)</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">s</span> <span class="o">=</span> <span class="n">c</span>
<span class="nb">print</span><span class="p">(</span><span class="n">s</span><span class="p">)</span>
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<pre>153
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