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<div class="headertitle"><div class="title">hamiltons_cycle.cpp</div></div>
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<a href="../../dd/d0c/hamiltons__cycle_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>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include <cassert></span></div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include <iostream></span></div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include <vector></span></div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> </div>
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<div class="foldopen" id="foldopen00030" data-start="{" data-end="}">
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"><a class="line" href="../../dd/d0c/hamiltons__cycle_8cpp.html#abcf824e347eecfeeb69ea0280f34f3e4"> 30</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="../../dd/d0c/hamiltons__cycle_8cpp.html#abcf824e347eecfeeb69ea0280f34f3e4">hamilton_cycle</a>(<span class="keyword">const</span> std::vector<std::vector<bool>> &routes) {</div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> n = routes.size();</div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="comment">// height of dp array which is 2^n</span></div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a> = 1 << n;</div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> std::vector<std::vector<bool>> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>(<a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>, std::vector<bool>(n, <span class="keyword">false</span>));</div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> </div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="comment">// to fill in the [2^i, i] cells with true</span></div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < n; ++i) {</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[1 << i][i] = <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> }</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 1; i < <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>; i++) {</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> std::vector<size_t> zeros, ones;</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="comment">// finding positions with 1s and 0s and separate them</span></div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> pos = 0; pos < n; ++pos) {</div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordflow">if</span> ((1 << pos) & i) {</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> ones.push_back(pos);</div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> zeros.push_back(pos);</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> }</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> }</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> </div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <span class="keywordflow">for</span> (<span class="keyword">auto</span> &o : ones) {</div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="keywordflow">if</span> (!<a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[i][o]) {</div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="keywordflow">continue</span>;</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> }</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> </div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keywordflow">for</span> (<span class="keyword">auto</span> &z : zeros) {</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keywordflow">if</span> (!routes[o][z]) {</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keywordflow">continue</span>;</div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> }</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[i + (1 << z)][z] = <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> }</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> }</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> }</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> </div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="keywordtype">bool</span> is_cycle = <span class="keyword">false</span>;</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < n; i++) {</div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> is_cycle |= <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[<a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a> - 1][i];</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="keywordflow">if</span> (is_cycle) { <span class="comment">// if true, all subsequent loop will be true. hence</span></div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="comment">// break</span></div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="keywordflow">break</span>;</div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> }</div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> }</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="keywordflow">return</span> is_cycle;</div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span>}</div>
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</div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> </div>
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<div class="foldopen" id="foldopen00081" data-start="{" data-end="}">
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"><a class="line" href="../../dd/d0c/hamiltons__cycle_8cpp.html#ae7880ce913f3058a35ff106d5be9e243"> 81</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../dd/d0c/hamiltons__cycle_8cpp.html#ae7880ce913f3058a35ff106d5be9e243">test1</a>() {</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> std::vector<std::vector<bool>> arr{</div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> std::vector<bool>({<span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">false</span>, <span class="keyword">false</span>}),</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> std::vector<bool>({<span class="keyword">false</span>, <span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">false</span>}),</div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> std::vector<bool>({<span class="keyword">false</span>, <span class="keyword">false</span>, <span class="keyword">true</span>, <span class="keyword">true</span>}),</div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> std::vector<bool>({<span class="keyword">false</span>, <span class="keyword">false</span>, <span class="keyword">false</span>, <span class="keyword">true</span>})};</div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> </div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="keywordtype">bool</span> ans = <a class="code hl_function" href="../../dd/d0c/hamiltons__cycle_8cpp.html#abcf824e347eecfeeb69ea0280f34f3e4">hamilton_cycle</a>(arr);</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> std::cout << <span class="stringliteral">"Test 1... "</span>;</div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> assert(ans);</div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> std::cout << <span class="stringliteral">"passed\n"</span>;</div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span>}</div>
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</div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> </div>
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<div class="foldopen" id="foldopen00103" data-start="{" data-end="}">
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"><a class="line" href="../../dd/d0c/hamiltons__cycle_8cpp.html#a45d94ead4cf4e1ff9f87c38bc99f59ae"> 103</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../dd/d0c/hamiltons__cycle_8cpp.html#a45d94ead4cf4e1ff9f87c38bc99f59ae">test2</a>() {</div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> std::vector<std::vector<bool>> arr{</div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> std::vector<bool>({<span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">false</span>, <span class="keyword">false</span>}),</div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> std::vector<bool>({<span class="keyword">false</span>, <span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">true</span>}),</div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> std::vector<bool>({<span class="keyword">false</span>, <span class="keyword">false</span>, <span class="keyword">true</span>, <span class="keyword">false</span>}),</div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> std::vector<bool>({<span class="keyword">false</span>, <span class="keyword">false</span>, <span class="keyword">false</span>, <span class="keyword">true</span>})};</div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> </div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="keywordtype">bool</span> ans = <a class="code hl_function" href="../../dd/d0c/hamiltons__cycle_8cpp.html#abcf824e347eecfeeb69ea0280f34f3e4">hamilton_cycle</a>(arr);</div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> </div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> std::cout << <span class="stringliteral">"Test 2... "</span>;</div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> assert(!ans); <span class="comment">// not a cycle</span></div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> std::cout << <span class="stringliteral">"passed\n"</span>;</div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span>}</div>
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</div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> </div>
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<div class="foldopen" id="foldopen00122" data-start="{" data-end="}">
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"><a class="line" href="../../dd/d0c/hamiltons__cycle_8cpp.html#a0cc94918b6831f308d4fe4fa27f08299"> 122</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../dd/d0c/hamiltons__cycle_8cpp.html#a0cc94918b6831f308d4fe4fa27f08299">test3</a>() {</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> std::vector<std::vector<bool>> arr{</div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> std::vector<bool>({<span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">true</span>}),</div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> std::vector<bool>({<span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">true</span>}),</div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> std::vector<bool>({<span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">true</span>}),</div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> std::vector<bool>({<span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">true</span>})};</div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> </div>
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<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="keywordtype">bool</span> ans = <a class="code hl_function" href="../../dd/d0c/hamiltons__cycle_8cpp.html#abcf824e347eecfeeb69ea0280f34f3e4">hamilton_cycle</a>(arr);</div>
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<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> </div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> std::cout << <span class="stringliteral">"Test 3... "</span>;</div>
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<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> assert(ans);</div>
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> std::cout << <span class="stringliteral">"passed\n"</span>;</div>
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<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span>}</div>
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</div>
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<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> </div>
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<div class="foldopen" id="foldopen00142" data-start="{" data-end="}">
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"><a class="line" href="../../dd/d0c/hamiltons__cycle_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627"> 142</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a>(<span class="keywordtype">int</span> argc, <span class="keywordtype">char</span> **argv) {</div>
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<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <a class="code hl_function" href="../../dd/d0c/hamiltons__cycle_8cpp.html#ae7880ce913f3058a35ff106d5be9e243">test1</a>();</div>
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <a class="code hl_function" href="../../dd/d0c/hamiltons__cycle_8cpp.html#a45d94ead4cf4e1ff9f87c38bc99f59ae">test2</a>();</div>
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<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> <a class="code hl_function" href="../../dd/d0c/hamiltons__cycle_8cpp.html#a0cc94918b6831f308d4fe4fa27f08299">test3</a>();</div>
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<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span>}</div>
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</div>
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<div class="ttc" id="aavltree_8cpp_html_ae4a66d8b0c2b0d626aea45977e358c83"><div class="ttname"><a href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a></div><div class="ttdeci">int height(node *root)</div><div class="ttdef"><b>Definition</b> <a href="../../d8/dee/avltree_8cpp_source.html#l00038">avltree.cpp:38</a></div></div>
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<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="../../dd/d1e/generate__parentheses_8cpp_source.html#l00110">generate_parentheses.cpp:110</a></div></div>
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<div class="ttc" id="ahamiltons__cycle_8cpp_html_a0cc94918b6831f308d4fe4fa27f08299"><div class="ttname"><a href="../../dd/d0c/hamiltons__cycle_8cpp.html#a0cc94918b6831f308d4fe4fa27f08299">test3</a></div><div class="ttdeci">static void test3()</div><div class="ttdef"><b>Definition</b> <a href="#l00122">hamiltons_cycle.cpp:122</a></div></div>
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<div class="ttc" id="ahamiltons__cycle_8cpp_html_a45d94ead4cf4e1ff9f87c38bc99f59ae"><div class="ttname"><a href="../../dd/d0c/hamiltons__cycle_8cpp.html#a45d94ead4cf4e1ff9f87c38bc99f59ae">test2</a></div><div class="ttdeci">static void test2()</div><div class="ttdef"><b>Definition</b> <a href="#l00103">hamiltons_cycle.cpp:103</a></div></div>
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<div class="ttc" id="ahamiltons__cycle_8cpp_html_abcf824e347eecfeeb69ea0280f34f3e4"><div class="ttname"><a href="../../dd/d0c/hamiltons__cycle_8cpp.html#abcf824e347eecfeeb69ea0280f34f3e4">hamilton_cycle</a></div><div class="ttdeci">bool hamilton_cycle(const std::vector< std::vector< bool > > &routes)</div><div class="ttdef"><b>Definition</b> <a href="#l00030">hamiltons_cycle.cpp:30</a></div></div>
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<div class="ttc" id="ahamiltons__cycle_8cpp_html_ae7880ce913f3058a35ff106d5be9e243"><div class="ttname"><a href="../../dd/d0c/hamiltons__cycle_8cpp.html#ae7880ce913f3058a35ff106d5be9e243">test1</a></div><div class="ttdeci">static void test1()</div><div class="ttdef"><b>Definition</b> <a href="#l00081">hamiltons_cycle.cpp:81</a></div></div>
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<div class="ttc" id="anamespacedp_html"><div class="ttname"><a href="../../df/d88/namespacedp.html">dp</a></div><div class="ttdoc">for std::vector</div><div class="ttdef"><b>Definition</b> <a href="../../de/d8c/partition__problem_8cpp_source.html#l00039">partition_problem.cpp:39</a></div></div>
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