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<title>Algorithms_in_C++: graph/hamiltons_cycle.cpp File Reference</title>
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@@ -30,8 +30,8 @@ MathJax.Hub.Config({
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<div id="projectname">Algorithms_in_C++<span id="projectnumber"> 1.0.0</span>
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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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@@ -41,7 +41,7 @@ MathJax.Hub.Config({
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/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&dn=expat.txt MIT */
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var searchBox = new SearchBox("searchBox", "../../search",'Search','.html');
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@@ -154,51 +154,51 @@ Functions</h2></td></tr>
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<dl class="section return"><dt>Returns</dt><dd><code>true</code> if there is Hamiltonian cycle in the graph </dd>
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<dd>
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<code>false</code> if there is no Hamiltonian cycle in the graph </dd></dl>
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<div class="fragment"><div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> {</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.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</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> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<bool></a>> <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>, <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>(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> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<size_t></a> 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.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(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.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(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 class="fragment"><div class="line"><span class="lineno"> 30</span> {</div>
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<div class="line"><span class="lineno"> 31</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> n = routes.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
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<div class="line"><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"><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"><span class="lineno"> 34</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<bool></a>> <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>, <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>(n, <span class="keyword">false</span>));</div>
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<div class="line"><span class="lineno"> 35</span> </div>
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<div class="line"><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"><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"><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"><span class="lineno"> 39</span> }</div>
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<div class="line"><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"><span class="lineno"> 41</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<size_t></a> zeros, ones;</div>
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<div class="line"><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"><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"><span class="lineno"> 44</span> <span class="keywordflow">if</span> ((1 << pos) & i) {</div>
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<div class="line"><span class="lineno"> 45</span> ones.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(pos);</div>
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<div class="line"><span class="lineno"> 46</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><span class="lineno"> 47</span> zeros.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(pos);</div>
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<div class="line"><span class="lineno"> 48</span> }</div>
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<div class="line"><span class="lineno"> 49</span> }</div>
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<div class="line"><span class="lineno"> 50</span> </div>
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<div class="line"><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"><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"><span class="lineno"> 53</span> <span class="keywordflow">continue</span>;</div>
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<div class="line"><span class="lineno"> 54</span> }</div>
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<div class="line"><span class="lineno"> 55</span> </div>
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<div class="line"><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"><span class="lineno"> 57</span> <span class="keywordflow">if</span> (!routes[o][z]) {</div>
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<div class="line"><span class="lineno"> 58</span> <span class="keywordflow">continue</span>;</div>
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<div class="line"><span class="lineno"> 59</span> }</div>
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<div class="line"><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"><span class="lineno"> 61</span> }</div>
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<div class="line"><span class="lineno"> 62</span> }</div>
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<div class="line"><span class="lineno"> 63</span> }</div>
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<div class="line"><span class="lineno"> 64</span> </div>
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<div class="line"><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"><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"><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"><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"><span class="lineno"> 69</span> <span class="comment">// break</span></div>
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<div class="line"><span class="lineno"> 70</span> <span class="keywordflow">break</span>;</div>
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<div class="line"><span class="lineno"> 71</span> }</div>
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<div class="line"><span class="lineno"> 72</span> }</div>
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<div class="line"><span class="lineno"> 73</span> <span class="keywordflow">return</span> is_cycle;</div>
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<div class="line"><span class="lineno"> 74</span>}</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> avltree.cpp:31</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> partition_problem.cpp:39</div></div>
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<div class="ttc" id="apush_back_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">std::vector::push_back</a></div><div class="ttdeci">T push_back(T... args)</div></div>
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@@ -246,12 +246,12 @@ Here is the call graph for this function:</div>
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</table>
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</dd>
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</dl>
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<div class="fragment"><div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> {</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 class="fragment"><div class="line"><span class="lineno"> 142</span> {</div>
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<div class="line"><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"><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"><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"><span class="lineno"> 146</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 147</span>}</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> hamiltons_cycle.cpp:122</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> hamiltons_cycle.cpp:103</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> hamiltons_cycle.cpp:81</div></div>
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<p >this test is testing if <a class="el" href="../../dd/d0c/hamiltons__cycle_8cpp.html#abcf824e347eecfeeb69ea0280f34f3e4">hamilton_cycle</a> returns <code>true</code> for graph: <code>1 -> 2 -> 3 -> 4</code> </p><dl class="section return"><dt>Returns</dt><dd>None </dd></dl>
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<div class="fragment"><div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> {</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<bool></a>> arr{</div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>({<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> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>({<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> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>({<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> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>({<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> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> = <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> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <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(<a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>);</div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <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 class="fragment"><div class="line"><span class="lineno"> 81</span> {</div>
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<div class="line"><span class="lineno"> 82</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<bool></a>> arr{</div>
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<div class="line"><span class="lineno"> 83</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>({<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"><span class="lineno"> 84</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>({<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"><span class="lineno"> 85</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>({<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"><span class="lineno"> 86</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>({<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"><span class="lineno"> 87</span> </div>
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<div class="line"><span class="lineno"> 88</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> = <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"><span class="lineno"> 89</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Test 1... "</span>;</div>
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<div class="line"><span class="lineno"> 90</span> assert(<a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>);</div>
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<div class="line"><span class="lineno"> 91</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"passed\n"</span>;</div>
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<div class="line"><span class="lineno"> 92</span>}</div>
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<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</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> hamiltons_cycle.cpp:30</div></div>
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<div class="ttc" id="amatrix__exponentiation_8cpp_html_ad8389ed58fd0ec66df248014775ad1fa"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a></div><div class="ttdeci">ll ans(ll n)</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:91</div></div>
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4</pre> <dl class="section return"><dt>Returns</dt><dd>None </dd></dl>
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<div class="fragment"><div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> {</div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<bool></a>> arr{</div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>({<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> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>({<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> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>({<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> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>({<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> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> = <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> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <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(!<a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>); <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> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <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 class="fragment"><div class="line"><span class="lineno"> 103</span> {</div>
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<div class="line"><span class="lineno"> 104</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<bool></a>> arr{</div>
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<div class="line"><span class="lineno"> 105</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>({<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"><span class="lineno"> 106</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>({<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"><span class="lineno"> 107</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>({<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"><span class="lineno"> 108</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>({<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"><span class="lineno"> 109</span> </div>
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<div class="line"><span class="lineno"> 110</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> = <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"><span class="lineno"> 111</span> </div>
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<div class="line"><span class="lineno"> 112</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Test 2... "</span>;</div>
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<div class="line"><span class="lineno"> 113</span> assert(!<a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>); <span class="comment">// not a cycle</span></div>
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<div class="line"><span class="lineno"> 114</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"passed\n"</span>;</div>
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<div class="line"><span class="lineno"> 115</span>}</div>
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<p >this test is testing if <a class="el" href="../../dd/d0c/hamiltons__cycle_8cpp.html#abcf824e347eecfeeb69ea0280f34f3e4">hamilton_cycle</a> returns <code>true</code> for clique with 4 vertices </p><dl class="section return"><dt>Returns</dt><dd>None </dd></dl>
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<div class="fragment"><div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> {</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<bool></a>> arr{</div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>({<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> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>({<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> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>({<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> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>({<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> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> = <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> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <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(<a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>);</div>
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <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 class="fragment"><div class="line"><span class="lineno"> 122</span> {</div>
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<div class="line"><span class="lineno"> 123</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<bool></a>> arr{</div>
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<div class="line"><span class="lineno"> 124</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>({<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"><span class="lineno"> 125</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>({<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"><span class="lineno"> 126</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>({<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"><span class="lineno"> 127</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a>({<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"><span class="lineno"> 128</span> </div>
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<div class="line"><span class="lineno"> 129</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> = <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"><span class="lineno"> 130</span> </div>
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<div class="line"><span class="lineno"> 131</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Test 3... "</span>;</div>
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<div class="line"><span class="lineno"> 132</span> assert(<a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>);</div>
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<div class="line"><span class="lineno"> 133</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"passed\n"</span>;</div>
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<div class="line"><span class="lineno"> 134</span>}</div>
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@@ -412,7 +412,7 @@ Here is the call graph for this function:</div>
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