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<div><h1 class="main-title">bracket match</h1></div>
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<p>Nice and simple stack based solution:</p>
<div class="highlight"><pre><span></span><span class="linenos"> 1</span><span class="k">def</span> <span class="nf">bracket_match</span><span class="p">(</span><span class="n">text</span><span class="p">):</span>
<span class="linenos"> 2</span> <span class="c1"># time: amortized O(n)</span>
<span class="linenos"> 3</span> <span class="c1"># space: number unmached -> best O(1), worst: O(n)</span>
<span class="linenos"> 4</span> <span class="n">s</span> <span class="o">=</span> <span class="p">[]</span>
<span class="linenos"> 5</span> <span class="k">for</span> <span class="n">c</span> <span class="ow">in</span> <span class="n">text</span><span class="p">:</span>
<span class="linenos"> 6</span> <span class="k">if</span> <span class="n">c</span> <span class="o">==</span> <span class="s1">')'</span> <span class="ow">and</span> <span class="nb">len</span><span class="p">(</span><span class="n">s</span><span class="p">)</span> <span class="ow">and</span> <span class="n">s</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">==</span> <span class="s1">'('</span><span class="p">:</span>
<span class="linenos"> 7</span> <span class="n">s</span><span class="o">.</span><span class="n">pop</span><span class="p">()</span>
<span class="linenos"> 8</span> <span class="k">else</span><span class="p">:</span>
<span class="linenos"> 9</span> <span class="n">s</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">c</span><span class="p">)</span>
<span class="linenos">10</span> <span class="k">return</span> <span class="nb">len</span><span class="p">(</span><span class="n">s</span><span class="p">)</span>
</pre></div>
<p>If complexity isn't too much of an issue:</p>
<div class="highlight"><pre><span></span><span class="linenos">1</span><span class="k">def</span> <span class="nf">bracket_match</span><span class="p">(</span><span class="n">text</span><span class="p">):</span>
<span class="linenos">2</span> <span class="k">while</span> <span class="n">text</span><span class="o">.</span><span class="n">count</span><span class="p">(</span><span class="s1">'()'</span><span class="p">):</span>
<span class="linenos">3</span> <span class="n">text</span> <span class="o">=</span> <span class="n">text</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s1">'()'</span><span class="p">,</span> <span class="s1">''</span><span class="p">)</span>
<span class="linenos">4</span> <span class="k">return</span> <span class="nb">len</span><span class="p">(</span><span class="n">text</span><span class="p">)</span>
</pre></div>
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