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  33   <div class="section" id="advent-of-code-2017">
  34 <h1>Advent of Code 2017<a class="headerlink" href="#advent-of-code-2017" title="Permalink to this headline">¶</a></h1>
  35 <div class="section" id="december-4th">
  36 <h2>December 4th<a class="headerlink" href="#december-4th" title="Permalink to this headline">¶</a></h2>
  37 <p>To ensure security, a valid passphrase must contain no duplicate words.</p>
  38 <p>For example:</p>
  39 <ul class="simple">
  40 <li>aa bb cc dd ee is valid.</li>
  41 <li>aa bb cc dd aa is not valid - the word aa appears more than once.</li>
  42 <li>aa bb cc dd aaa is valid - aa and aaa count as different words.</li>
  43 </ul>
  44 <p>The system’s full passphrase list is available as your puzzle input. How
  45 many passphrases are valid?</p>
  46 <div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">notebook_preamble</span> <span class="k">import</span> <span class="n">J</span><span class="p">,</span> <span class="n">V</span><span class="p">,</span> <span class="n">define</span>
  47 </pre></div>
  48 </div>
  49 <p>I’ll assume the input is a Joy sequence of sequences of integers.</p>
  50 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[[</span><span class="mi">5</span> <span class="mi">1</span> <span class="mi">9</span> <span class="mi">5</span><span class="p">]</span>
  51  <span class="p">[</span><span class="mi">7</span> <span class="mi">5</span> <span class="mi">4</span> <span class="mi">3</span><span class="p">]</span>
  52  <span class="p">[</span><span class="mi">2</span> <span class="mi">4</span> <span class="mi">6</span> <span class="mi">8</span><span class="p">]]</span>
  53 </pre></div>
  54 </div>
  55 <p>So, obviously, the initial form will be a <code class="docutils literal notranslate"><span class="pre">step</span></code> function:</p>
  56 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">AoC2017</span><span class="o">.</span><span class="mi">4</span> <span class="o">==</span> <span class="mi">0</span> <span class="n">swap</span> <span class="p">[</span><span class="n">F</span> <span class="o">+</span><span class="p">]</span> <span class="n">step</span>
  57 </pre></div>
  58 </div>
  59 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">F</span> <span class="o">==</span> <span class="p">[</span><span class="n">size</span><span class="p">]</span> <span class="p">[</span><span class="n">unique</span> <span class="n">size</span><span class="p">]</span> <span class="n">cleave</span> <span class="o">=</span>
  60 </pre></div>
  61 </div>
  62 <p>The <code class="docutils literal notranslate"><span class="pre">step_zero</span></code> combinator includes the <code class="docutils literal notranslate"><span class="pre">0</span> <span class="pre">swap</span></code> that would normally
  63 open one of these definitions:</p>
  64 <div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[step_zero] help&#39;</span><span class="p">)</span>
  65 </pre></div>
  66 </div>
  67 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">0</span> <span class="n">roll</span><span class="o">&gt;</span> <span class="n">step</span>
  68 </pre></div>
  69 </div>
  70 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">AoC2017</span><span class="o">.</span><span class="mi">4</span> <span class="o">==</span> <span class="p">[</span><span class="n">F</span> <span class="o">+</span><span class="p">]</span> <span class="n">step_zero</span>
  71 </pre></div>
  72 </div>
  73 <div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;AoC2017.4 == [[size] [unique size] cleave = +] step_zero&#39;</span><span class="p">)</span>
  74 </pre></div>
  75 </div>
  76 <div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;&#39;&#39;</span>
  77
  78 <span class="s1">[[5 1 9 5]</span>
  79 <span class="s1"> [7 5 4 3]</span>
  80 <span class="s1"> [2 4 6 8]] AoC2017.4</span>
  81
  82 <span class="s1">&#39;&#39;&#39;</span><span class="p">)</span>
  83 </pre></div>
  84 </div>
  85 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">2</span>
  86 </pre></div>
  87 </div>
  88 </div>
  89 </div>
  90
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  98   <ul>
  99 <li><a class="reference internal" href="#">Advent of Code 2017</a><ul>
 100 <li><a class="reference internal" href="#december-4th">December 4th</a></li>
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