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<div class="headertitle"><div class="title">generate_parentheses.cpp</div></div>
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<a href="../../dd/d1e/generate__parentheses_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#include &lt;cassert&gt;</span> </div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#include &lt;iostream&gt;</span> </div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include &lt;vector&gt;</span> </div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../db/dc0/namespacebacktracking.html">backtracking</a> {</div>
<div class="foldopen" id="foldopen00026" data-start="{" data-end="};">
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"><a class="line" href="../../df/de5/classbacktracking_1_1generate__parentheses.html"> 26</a></span><span class="keyword">class </span><a class="code hl_class" href="../../df/de5/classbacktracking_1_1generate__parentheses.html">generate_parentheses</a> {</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> <span class="keyword">private</span>:</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"><a class="line" href="../../df/de5/classbacktracking_1_1generate__parentheses.html#ab35b9b6d2886abed3d6fb05c2be1c508"> 28</a></span> std::vector&lt;std::string&gt; <a class="code hl_variable" href="../../df/de5/classbacktracking_1_1generate__parentheses.html#ab35b9b6d2886abed3d6fb05c2be1c508">res</a>; </div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> </div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../df/de5/classbacktracking_1_1generate__parentheses.html#ac1489edd65374f22fe04851051f0a2ec">makeStrings</a>(std::string str, <span class="keywordtype">int</span> n, <span class="keywordtype">int</span> closed, <span class="keywordtype">int</span> open);</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> </div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> std::vector&lt;std::string&gt; <a class="code hl_function" href="../../df/de5/classbacktracking_1_1generate__parentheses.html#af39c03d80ce0ba9fbf659b420980d160">generate</a>(<span class="keywordtype">int</span> n);</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span>};</div>
</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span></div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> </div>
<div class="foldopen" id="foldopen00045" data-start="{" data-end="}">
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"><a class="line" href="../../df/de5/classbacktracking_1_1generate__parentheses.html#ac1489edd65374f22fe04851051f0a2ec"> 45</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../df/de5/classbacktracking_1_1generate__parentheses.html#ac1489edd65374f22fe04851051f0a2ec">generate_parentheses::makeStrings</a>(std::string str, <span class="keywordtype">int</span> n,</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <span class="keywordtype">int</span> closed, <span class="keywordtype">int</span> open) {</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keywordflow">if</span> (closed &gt; open) <span class="comment">// We can never have more closed than open</span></div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> </div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="keywordflow">if</span> ((str.length() == 2 * n) &amp;&amp;</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> (closed != open)) { <span class="comment">// closed and open must be the same</span></div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> }</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> </div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keywordflow">if</span> (str.length() == 2 * n) {</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <a class="code hl_variable" href="../../df/de5/classbacktracking_1_1generate__parentheses.html#ab35b9b6d2886abed3d6fb05c2be1c508">res</a>.push_back(str);</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> }</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> </div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <a class="code hl_function" href="../../df/de5/classbacktracking_1_1generate__parentheses.html#ac1489edd65374f22fe04851051f0a2ec">makeStrings</a>(str + <span class="charliteral">&#39;)&#39;</span>, n, closed + 1, open);</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <a class="code hl_function" href="../../df/de5/classbacktracking_1_1generate__parentheses.html#ac1489edd65374f22fe04851051f0a2ec">makeStrings</a>(str + <span class="charliteral">&#39;(&#39;</span>, n, closed, open + 1);</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span>}</div>
</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span></div>
<div class="foldopen" id="foldopen00070" data-start="{" data-end="}">
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"><a class="line" href="../../df/de5/classbacktracking_1_1generate__parentheses.html#af39c03d80ce0ba9fbf659b420980d160"> 70</a></span>std::vector&lt;std::string&gt; <a class="code hl_function" href="../../df/de5/classbacktracking_1_1generate__parentheses.html#af39c03d80ce0ba9fbf659b420980d160">generate_parentheses::generate</a>(<span class="keywordtype">int</span> n) {</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <a class="code hl_variable" href="../../df/de5/classbacktracking_1_1generate__parentheses.html#ab35b9b6d2886abed3d6fb05c2be1c508">backtracking::generate_parentheses::res</a>.clear();</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> std::string str = <span class="stringliteral">&quot;(&quot;</span>;</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <a class="code hl_function" href="../../df/de5/classbacktracking_1_1generate__parentheses.html#ac1489edd65374f22fe04851051f0a2ec">generate_parentheses::makeStrings</a>(str, n, 0, 1);</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="../../df/de5/classbacktracking_1_1generate__parentheses.html#ab35b9b6d2886abed3d6fb05c2be1c508">res</a>;</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span>}</div>
</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span>} <span class="comment">// namespace backtracking</span></div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span></div>
<div class="foldopen" id="foldopen00082" data-start="{" data-end="}">
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"><a class="line" href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d"> 82</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keywordtype">int</span> n = 0;</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> std::vector&lt;std::string&gt; patterns;</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <a class="code hl_class" href="../../df/de5/classbacktracking_1_1generate__parentheses.html">backtracking::generate_parentheses</a> p;</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> </div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> n = 1;</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> patterns = {{<span class="stringliteral">&quot;()&quot;</span>}};</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> assert(p.<a class="code hl_function" href="../../df/de5/classbacktracking_1_1generate__parentheses.html#af39c03d80ce0ba9fbf659b420980d160">generate</a>(n) == patterns);</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> </div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> n = 3;</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> patterns = {{<span class="stringliteral">&quot;()()()&quot;</span>}, {<span class="stringliteral">&quot;()(())&quot;</span>}, {<span class="stringliteral">&quot;(())()&quot;</span>}, {<span class="stringliteral">&quot;(()())&quot;</span>}, {<span class="stringliteral">&quot;((()))&quot;</span>}};</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> </div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> assert(p.<a class="code hl_function" href="../../df/de5/classbacktracking_1_1generate__parentheses.html#af39c03d80ce0ba9fbf659b420980d160">generate</a>(n) == patterns);</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> </div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> n = 4;</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> patterns = {{<span class="stringliteral">&quot;()()()()&quot;</span>}, {<span class="stringliteral">&quot;()()(())&quot;</span>}, {<span class="stringliteral">&quot;()(())()&quot;</span>}, {<span class="stringliteral">&quot;()(()())&quot;</span>},</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> {<span class="stringliteral">&quot;()((()))&quot;</span>}, {<span class="stringliteral">&quot;(())()()&quot;</span>}, {<span class="stringliteral">&quot;(())(())&quot;</span>}, {<span class="stringliteral">&quot;(()())()&quot;</span>},</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> {<span class="stringliteral">&quot;(()()())&quot;</span>}, {<span class="stringliteral">&quot;(()(()))&quot;</span>}, {<span class="stringliteral">&quot;((()))()&quot;</span>}, {<span class="stringliteral">&quot;((())())&quot;</span>},</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> {<span class="stringliteral">&quot;((()()))&quot;</span>}, {<span class="stringliteral">&quot;(((())))&quot;</span>}};</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> assert(p.<a class="code hl_function" href="../../df/de5/classbacktracking_1_1generate__parentheses.html#af39c03d80ce0ba9fbf659b420980d160">generate</a>(n) == patterns);</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> </div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> std::cout &lt;&lt; <span class="stringliteral">&quot;All tests passed\n&quot;</span>;</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span>}</div>
</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span></div>
<div class="foldopen" id="foldopen00110" data-start="{" data-end="}">
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"><a class="line" href="../../dd/d1e/generate__parentheses_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4"> 110</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span>}</div>
</div>
<div class="ttc" id="aclassbacktracking_1_1generate__parentheses_html"><div class="ttname"><a href="../../df/de5/classbacktracking_1_1generate__parentheses.html">backtracking::generate_parentheses</a></div><div class="ttdoc">generate_parentheses class</div><div class="ttdef"><b>Definition</b> <a href="#l00026">generate_parentheses.cpp:26</a></div></div>
<div class="ttc" id="aclassbacktracking_1_1generate__parentheses_html_ab35b9b6d2886abed3d6fb05c2be1c508"><div class="ttname"><a href="../../df/de5/classbacktracking_1_1generate__parentheses.html#ab35b9b6d2886abed3d6fb05c2be1c508">backtracking::generate_parentheses::res</a></div><div class="ttdeci">std::vector&lt; std::string &gt; res</div><div class="ttdoc">Contains all possible valid patterns.</div><div class="ttdef"><b>Definition</b> <a href="#l00028">generate_parentheses.cpp:28</a></div></div>
<div class="ttc" id="aclassbacktracking_1_1generate__parentheses_html_ac1489edd65374f22fe04851051f0a2ec"><div class="ttname"><a href="../../df/de5/classbacktracking_1_1generate__parentheses.html#ac1489edd65374f22fe04851051f0a2ec">backtracking::generate_parentheses::makeStrings</a></div><div class="ttdeci">void makeStrings(std::string str, int n, int closed, int open)</div><div class="ttdoc">function that adds parenthesis to the string.</div><div class="ttdef"><b>Definition</b> <a href="#l00045">generate_parentheses.cpp:45</a></div></div>
<div class="ttc" id="aclassbacktracking_1_1generate__parentheses_html_af39c03d80ce0ba9fbf659b420980d160"><div class="ttname"><a href="../../df/de5/classbacktracking_1_1generate__parentheses.html#af39c03d80ce0ba9fbf659b420980d160">backtracking::generate_parentheses::generate</a></div><div class="ttdeci">std::vector&lt; std::string &gt; generate(int n)</div><div class="ttdoc">wrapper interface</div><div class="ttdef"><b>Definition</b> <a href="#l00070">generate_parentheses.cpp:70</a></div></div>
<div class="ttc" id="agenerate__parentheses_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition</b> <a href="#l00082">generate_parentheses.cpp:82</a></div></div>
<div class="ttc" id="agenerate__parentheses_8cpp_html_gae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../dd/d1e/generate__parentheses_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="#l00110">generate_parentheses.cpp:110</a></div></div>
<div class="ttc" id="anamespacebacktracking_html"><div class="ttname"><a href="../../db/dc0/namespacebacktracking.html">backtracking</a></div><div class="ttdoc">for vector container</div></div>
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