Documentation for 2c68b68ca6

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@@ -154,7 +154,8 @@ $(document).ready(function(){initNavTree('annotated.html',''); initResizable();
<tr id="row_6_3_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d9/d23/classgraph_1_1_lowest_common_ancestor.html" target="_self">LowestCommonAncestor</a></td><td class="desc"></td></tr>
<tr id="row_6_4_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d0/d58/classgraph_1_1_rooted_tree.html" target="_self">RootedTree</a></td><td class="desc"></td></tr>
<tr id="row_7_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_7_" class="arrow" onclick="toggleFolder('7_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/d90/namespacegreedy__algorithms.html" target="_self">greedy_algorithms</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_7_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d3/d64/classgreedy__algorithms_1_1_graph.html" target="_self">Graph</a></td><td class="desc">Wrapper class for storing a graph </td></tr>
<tr id="row_7_0_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_7_0_" class="arrow" onclick="toggleFolder('7_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>dijkstra</b></td><td class="desc"></td></tr>
<tr id="row_7_0_0_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/daa/classgreedy__algorithms_1_1dijkstra_1_1_graph.html" target="_self">Graph</a></td><td class="desc">Wrapper class for storing a graph </td></tr>
<tr id="row_8_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_8_" class="arrow" onclick="toggleFolder('8_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d0c/namespacehashing.html" target="_self">hashing</a></td><td class="desc">Hashing algorithms </td></tr>
<tr id="row_8_0_" class="odd" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_8_0_" class="arrow" onclick="toggleFolder('8_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>sha256</b></td><td class="desc"></td></tr>
<tr id="row_8_0_0_" class="odd" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d6/d84/classhashing_1_1sha256_1_1_hash.html" target="_self">Hash</a></td><td class="desc">Contains hash array and functions to update it and convert it to a hexadecimal string </td></tr>

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[ "sha256", null, [

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@@ -122,7 +122,7 @@ $(document).ready(function(){initNavTree('classes.html',''); initResizable(); })
<dd><a class="el" href="dd/dca/class_f_c_f_s.html">FCFS</a></dd><dd><a class="el" href="de/d0d/classrange__queries_1_1fenwick__tree.html">fenwick_tree</a> (<a class="el" href="dd/d69/namespacerange__queries.html">range_queries</a>)</dd></dl>
<dl class="classindex even">
<dt class="alphachar"><a id="letter_G" name="letter_G">G</a></dt>
<dd><a class="el" href="df/de5/classbacktracking_1_1generate__parentheses.html">generate_parentheses</a> (<a class="el" href="db/dc0/namespacebacktracking.html">backtracking</a>)</dd><dd><a class="el" href="da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html">geometric_distribution</a> (probability::geometric_dist)</dd><dd><a class="el" href="da/d9a/class_graph.html">Graph</a></dd><dd><a class="el" href="dc/d61/classgraph_1_1_graph.html">Graph</a> (<a class="el" href="df/dce/namespacegraph.html">graph</a>)</dd><dd><a class="el" href="de/d00/classgraph_1_1is__graph__bipartite_1_1_graph.html">Graph</a> (graph::is_graph_bipartite)</dd><dd><a class="el" href="d3/d64/classgreedy__algorithms_1_1_graph.html">Graph</a> (<a class="el" href="d2/d90/namespacegreedy__algorithms.html">greedy_algorithms</a>)</dd></dl>
<dd><a class="el" href="df/de5/classbacktracking_1_1generate__parentheses.html">generate_parentheses</a> (<a class="el" href="db/dc0/namespacebacktracking.html">backtracking</a>)</dd><dd><a class="el" href="da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html">geometric_distribution</a> (probability::geometric_dist)</dd><dd><a class="el" href="da/d9a/class_graph.html">Graph</a></dd><dd><a class="el" href="dc/d61/classgraph_1_1_graph.html">Graph</a> (<a class="el" href="df/dce/namespacegraph.html">graph</a>)</dd><dd><a class="el" href="de/d00/classgraph_1_1is__graph__bipartite_1_1_graph.html">Graph</a> (graph::is_graph_bipartite)</dd><dd><a class="el" href="d2/daa/classgreedy__algorithms_1_1dijkstra_1_1_graph.html">Graph</a> (greedy_algorithms::dijkstra)</dd></dl>
<dl class="classindex odd">
<dt class="alphachar"><a id="letter_H" name="letter_H">H</a></dt>
<dd><a class="el" href="d6/d84/classhashing_1_1sha256_1_1_hash.html">Hash</a> (hashing::sha256)</dd><dd><a class="el" href="dd/d1c/classhash__chain.html">hash_chain</a></dd><dd><a class="el" href="d6/d26/classciphers_1_1_hill_cipher.html">HillCipher</a> (<a class="el" href="d6/d4e/namespaceciphers.html">ciphers</a>)</dd><dd><a class="el" href="d8/d69/classgraph_1_1_h_k_graph.html">HKGraph</a> (<a class="el" href="df/dce/namespacegraph.html">graph</a>)</dd><dd><a class="el" href="d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html">HLD</a> (range_queries::heavy_light_decomposition)</dd></dl>

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<div class="header">
<div class="summary">
<a href="#nested-classes">Classes</a> &#124;
<a href="#func-members">Functions</a> </div>
<div class="headertitle"><div class="title">greedy_algorithms Namespace Reference</div></div>
</div><!--header-->
@@ -107,23 +106,8 @@ $(document).ready(function(){initNavTree('d2/d90/namespacegreedy__algorithms.htm
<p>for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>
<a href="../../d2/d90/namespacegreedy__algorithms.html#details">More...</a></p>
<table class="memberdecls">
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Classes</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d64/classgreedy__algorithms_1_1_graph.html">Graph</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Wrapper class for storing a graph. <a href="../../d3/d64/classgreedy__algorithms_1_1_graph.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:ac6731ab96fb83453aff4682d16fe2ea7"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d90/namespacegreedy__algorithms.html#ac6731ab96fb83453aff4682d16fe2ea7">minimum_distance</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt; mdist, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; bool &gt; vset, int V)</td></tr>
<tr class="memdesc:ac6731ab96fb83453aff4682d16fe2ea7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Utility function that finds the vertex with the minimum distance in <code>mdist</code>. <br /></td></tr>
<tr class="separator:ac6731ab96fb83453aff4682d16fe2ea7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a58aba3d694f77ce934f4e94042321649"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d90/namespacegreedy__algorithms.html#a58aba3d694f77ce934f4e94042321649">print</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt; dist, int V)</td></tr>
<tr class="memdesc:a58aba3d694f77ce934f4e94042321649"><td class="mdescLeft">&#160;</td><td class="mdescRight">Utility function to print the distances to vertices. <br /></td></tr>
<tr class="separator:a58aba3d694f77ce934f4e94042321649"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a04a39ac70bceeab6bcd3073da760e88a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d90/namespacegreedy__algorithms.html#a04a39ac70bceeab6bcd3073da760e88a">dijkstra</a> (<a class="el" href="../../d3/d64/classgreedy__algorithms_1_1_graph.html">Graph</a> graph, int src)</td></tr>
<tr class="memdesc:a04a39ac70bceeab6bcd3073da760e88a"><td class="mdescLeft">&#160;</td><td class="mdescRight">The main function that finds the shortest path from given source to all other vertices using Dijkstra's Algorithm. <br /></td></tr>
<tr class="separator:a04a39ac70bceeab6bcd3073da760e88a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a127ce4403660032f53ae2e6467e5427d"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:a127ce4403660032f53ae2e6467e5427d"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d2/d90/namespacegreedy__algorithms.html#a127ce4403660032f53ae2e6467e5427d">findMinimumEdge</a> (const int &amp;infinity, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; T, 6 &gt;, 6 &gt; &amp;graph)</td></tr>
<tr class="memdesc:a127ce4403660032f53ae2e6467e5427d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Finds the minimum edge of the given graph. <br /></td></tr>
@@ -134,82 +118,6 @@ Functions</h2></td></tr>
<p>for assert for INT_MAX for IO operations</p>
<p>Greedy Algorithms </p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a04a39ac70bceeab6bcd3073da760e88a" name="a04a39ac70bceeab6bcd3073da760e88a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a04a39ac70bceeab6bcd3073da760e88a">&#9670;&#160;</a></span>dijkstra()</h2>
<div class="memitem">
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<td class="memname">void greedy_algorithms::dijkstra </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d3/d64/classgreedy__algorithms_1_1_graph.html">Graph</a>&#160;</td>
<td class="paramname"><em>graph</em>, </td>
</tr>
<tr>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>src</em>&#160;</td>
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<p>The main function that finds the shortest path from given source to all other vertices using Dijkstra's Algorithm. </p>
<dl class="section note"><dt>Note</dt><dd>This doesn't work on negative weights. </dd></dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">graph</td><td>the graph to be processed </td></tr>
<tr><td class="paramname">src</td><td>the source of the given vertex </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 122</span> {</div>
<div class="line"><span class="lineno"> 123</span> <span class="keywordtype">int</span> V = <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.vertexNum;</div>
<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&lt;int&gt;</a> mdist{}; <span class="comment">// Stores updated distances to the vertex</span></div>
<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&lt;bool&gt;</a> vset{}; <span class="comment">// `vset[i]` is true if the vertex `i` is included in the shortest path tree</span></div>
<div class="line"><span class="lineno"> 126</span> </div>
<div class="line"><span class="lineno"> 127</span> <span class="comment">// Initialize `mdist and `vset`. Set distance of source as zero</span></div>
<div class="line"><span class="lineno"> 128</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; V; i++) {</div>
<div class="line"><span class="lineno"> 129</span> mdist[i] = INT_MAX;</div>
<div class="line"><span class="lineno"> 130</span> vset[i] = <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 131</span> }</div>
<div class="line"><span class="lineno"> 132</span> </div>
<div class="line"><span class="lineno"> 133</span> mdist[src] = 0;</div>
<div class="line"><span class="lineno"> 134</span> </div>
<div class="line"><span class="lineno"> 135</span> <span class="comment">// iterate to find the shortest path</span></div>
<div class="line"><span class="lineno"> 136</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> count = 0; count &lt; V - 1; count++) {</div>
<div class="line"><span class="lineno"> 137</span> <span class="keywordtype">int</span> u = <a class="code hl_function" href="../../d2/d90/namespacegreedy__algorithms.html#ac6731ab96fb83453aff4682d16fe2ea7">minimum_distance</a>(mdist, vset, V);</div>
<div class="line"><span class="lineno"> 138</span> </div>
<div class="line"><span class="lineno"> 139</span> vset[u] = <span class="keyword">true</span>;</div>
<div class="line"><span class="lineno"> 140</span> </div>
<div class="line"><span class="lineno"> 141</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> v = 0; v &lt; V; v++) {</div>
<div class="line"><span class="lineno"> 142</span> <span class="keywordflow">if</span> (!vset[v] &amp;&amp; <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.edges[u][v] &amp;&amp;</div>
<div class="line"><span class="lineno"> 143</span> mdist[u] + <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.edges[u][v] &lt; mdist[v]) {</div>
<div class="line"><span class="lineno"> 144</span> mdist[v] = mdist[u] + <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.edges[u][v];</div>
<div class="line"><span class="lineno"> 145</span> }</div>
<div class="line"><span class="lineno"> 146</span> }</div>
<div class="line"><span class="lineno"> 147</span> }</div>
<div class="line"><span class="lineno"> 148</span> </div>
<div class="line"><span class="lineno"> 149</span> print(mdist, V);</div>
<div class="line"><span class="lineno"> 150</span>}</div>
<div class="ttc" id="anamespacegraph_html"><div class="ttname"><a href="../../df/dce/namespacegraph.html">graph</a></div><div class="ttdoc">Graph Algorithms.</div></div>
<div class="ttc" id="anamespacegreedy__algorithms_html_ac6731ab96fb83453aff4682d16fe2ea7"><div class="ttname"><a href="../../d2/d90/namespacegreedy__algorithms.html#ac6731ab96fb83453aff4682d16fe2ea7">greedy_algorithms::minimum_distance</a></div><div class="ttdeci">int minimum_distance(std::vector&lt; int &gt; mdist, std::vector&lt; bool &gt; vset, int V)</div><div class="ttdoc">Utility function that finds the vertex with the minimum distance in mdist.</div><div class="ttdef"><b>Definition</b> dijkstra.cpp:80</div></div>
<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>
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Here is the call graph for this function:</div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d2/d90/namespacegreedy__algorithms_a04a39ac70bceeab6bcd3073da760e88a_cgraph.svg" width="330" height="52"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<a id="a127ce4403660032f53ae2e6467e5427d" name="a127ce4403660032f53ae2e6467e5427d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a127ce4403660032f53ae2e6467e5427d">&#9670;&#160;</a></span>findMinimumEdge()</h2>
@@ -262,112 +170,7 @@ template&lt;typename T &gt; </div>
<div class="line"><span class="lineno"> 49</span> }</div>
<div class="line"><span class="lineno"> 50</span>}</div>
<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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<a id="ac6731ab96fb83453aff4682d16fe2ea7" name="ac6731ab96fb83453aff4682d16fe2ea7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac6731ab96fb83453aff4682d16fe2ea7">&#9670;&#160;</a></span>minimum_distance()</h2>
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<td class="memname">int greedy_algorithms::minimum_distance </td>
<td>(</td>
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt;&#160;</td>
<td class="paramname"><em>mdist</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; bool &gt;&#160;</td>
<td class="paramname"><em>vset</em>, </td>
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<p>Utility function that finds the vertex with the minimum distance in <code>mdist</code>. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">mdist</td><td>array of distances to each vertex </td></tr>
<tr><td class="paramname">vset</td><td>array indicating inclusion in the shortest path tree </td></tr>
<tr><td class="paramname">V</td><td>the number of vertices in the graph </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>index of the vertex with the minimum distance </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 80</span> {</div>
<div class="line"><span class="lineno"> 81</span> <span class="keywordtype">int</span> minVal = INT_MAX, minInd = 0;</div>
<div class="line"><span class="lineno"> 82</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; V; i++) {</div>
<div class="line"><span class="lineno"> 83</span> <span class="keywordflow">if</span> (!vset[i] &amp;&amp; (mdist[i] &lt; minVal)) {</div>
<div class="line"><span class="lineno"> 84</span> minVal = mdist[i];</div>
<div class="line"><span class="lineno"> 85</span> minInd = i;</div>
<div class="line"><span class="lineno"> 86</span> }</div>
<div class="line"><span class="lineno"> 87</span> }</div>
<div class="line"><span class="lineno"> 88</span> </div>
<div class="line"><span class="lineno"> 89</span> <span class="keywordflow">return</span> minInd;</div>
<div class="line"><span class="lineno"> 90</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a58aba3d694f77ce934f4e94042321649">&#9670;&#160;</a></span>print()</h2>
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<td class="memname">void greedy_algorithms::print </td>
<td>(</td>
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt;&#160;</td>
<td class="paramname"><em>dist</em>, </td>
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<td class="paramkey"></td>
<td></td>
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<p>Utility function to print the distances to vertices. </p>
<p>This function prints the distances to each vertex in a tabular format. If the distance is equal to INT_MAX, it is displayed as "INF".</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
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<div class="fragment"><div class="line"><span class="lineno"> 102</span> {</div>
<div class="line"><span class="lineno"> 103</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;\nVertex Distance\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 104</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; V; i++) {</div>
<div class="line"><span class="lineno"> 105</span> <span class="keywordflow">if</span> (dist[i] &lt; INT_MAX) {</div>
<div class="line"><span class="lineno"> 106</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; i &lt;&lt; <span class="stringliteral">&quot;\t&quot;</span> &lt;&lt; dist[i] &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 107</span> }</div>
<div class="line"><span class="lineno"> 108</span> <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 109</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; i &lt;&lt; <span class="stringliteral">&quot;\tINF&quot;</span> &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 110</span> }</div>
<div class="line"><span class="lineno"> 111</span> }</div>
<div class="line"><span class="lineno"> 112</span>}</div>
<div class="ttc" id="anamespacegraph_html"><div class="ttname"><a href="../../df/dce/namespacegraph.html">graph</a></div><div class="ttdoc">Graph Algorithms.</div></div>
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<a href="#pub-attribs">Public Attributes</a> &#124;
<a href="../../d4/d6d/classgreedy__algorithms_1_1_graph-members.html">List of all members</a> </div>
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<div class="headertitle"><div class="title">greedy_algorithms::dijkstra::Graph Class Reference</div></div>
</div><!--header-->
<div class="contents">
<p>Wrapper class for storing a graph.
<a href="../../d3/d64/classgreedy__algorithms_1_1_graph.html#details">More...</a></p>
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Collaboration diagram for greedy_algorithms::Graph:</div>
Collaboration diagram for greedy_algorithms::dijkstra::Graph:</div>
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<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pub-methods" name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:ac0f2ff5759957b72ba5bbad592aa2381"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d64/classgreedy__algorithms_1_1_graph.html#ac0f2ff5759957b72ba5bbad592aa2381">Graph</a> (const int V)</td></tr>
<tr class="memdesc:ac0f2ff5759957b72ba5bbad592aa2381"><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructs a graph. <br /></td></tr>
<tr class="separator:ac0f2ff5759957b72ba5bbad592aa2381"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0672b080707aaaacf9cc116d69ea4c3f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d64/classgreedy__algorithms_1_1_graph.html#a0672b080707aaaacf9cc116d69ea4c3f">add_edge</a> (int src, int dst, int weight)</td></tr>
<tr class="memdesc:a0672b080707aaaacf9cc116d69ea4c3f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Adds an edge to the graph. <br /></td></tr>
<tr class="separator:a0672b080707aaaacf9cc116d69ea4c3f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afefaeb247734a7c64bd04e68e3c1c4bc"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/daa/classgreedy__algorithms_1_1dijkstra_1_1_graph.html#afefaeb247734a7c64bd04e68e3c1c4bc">Graph</a> (const int V)</td></tr>
<tr class="memdesc:afefaeb247734a7c64bd04e68e3c1c4bc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructs a graph. <br /></td></tr>
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<tr class="memitem:a224b6efacbad55d59e11b046f792fe79"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/daa/classgreedy__algorithms_1_1dijkstra_1_1_graph.html#a224b6efacbad55d59e11b046f792fe79">add_edge</a> (int src, int dst, int weight)</td></tr>
<tr class="memdesc:a224b6efacbad55d59e11b046f792fe79"><td class="mdescLeft">&#160;</td><td class="mdescRight">Adds an edge to the graph. <br /></td></tr>
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</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pub-attribs" name="pub-attribs"></a>
Public Attributes</h2></td></tr>
<tr class="memitem:abec975bd88bd3349144bdbc545c1d608"><td class="memItemLeft" align="right" valign="top"><a id="abec975bd88bd3349144bdbc545c1d608" name="abec975bd88bd3349144bdbc545c1d608"></a>
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int&#160;</td><td class="memItemRight" valign="bottom"><b>vertexNum</b> = 0</td></tr>
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<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt; &gt;&#160;</td><td class="memItemRight" valign="bottom"><b>edges</b> {}</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Wrapper class for storing a graph. </p>
</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
<a id="ac0f2ff5759957b72ba5bbad592aa2381" name="ac0f2ff5759957b72ba5bbad592aa2381"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac0f2ff5759957b72ba5bbad592aa2381">&#9670;&#160;</a></span>Graph()</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#afefaeb247734a7c64bd04e68e3c1c4bc">&#9670;&#160;</a></span>Graph()</h2>
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<div class="fragment"><div class="line"><span class="lineno"> 42</span> {</div>
<div class="line"><span class="lineno"> 43</span> <span class="comment">// Initialize the array edges</span></div>
<div class="line"><span class="lineno"> 44</span> this-&gt;edges = <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::vector&lt;int&gt;</a>&gt;(V, <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a>(V, 0));</div>
<div class="line"><span class="lineno"> 45</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; V; i++) {</div>
<div class="line"><span class="lineno"> 46</span> edges[i] = <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a>(V, 0);</div>
<div class="line"><span class="lineno"> 47</span> }</div>
<div class="line"><span class="lineno"> 48</span> </div>
<div class="line"><span class="lineno"> 49</span> <span class="comment">// Fills the array with zeros</span></div>
<div class="line"><span class="lineno"> 50</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; V; i++) {</div>
<div class="line"><span class="lineno"> 51</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; V; j++) {</div>
<div class="line"><span class="lineno"> 52</span> edges[i][j] = 0;</div>
<div class="line"><span class="lineno"> 53</span> }</div>
<div class="line"><span class="lineno"> 54</span> }</div>
<div class="line"><span class="lineno"> 55</span> </div>
<div class="line"><span class="lineno"> 56</span> this-&gt;vertexNum = V;</div>
<div class="line"><span class="lineno"> 57</span> }</div>
<div class="fragment"><div class="line"><span class="lineno"> 44</span> {</div>
<div class="line"><span class="lineno"> 45</span> <span class="comment">// Initialize the array edges</span></div>
<div class="line"><span class="lineno"> 46</span> this-&gt;edges = <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::vector&lt;int&gt;</a>&gt;(V, <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a>(V, 0));</div>
<div class="line"><span class="lineno"> 47</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; V; i++) {</div>
<div class="line"><span class="lineno"> 48</span> edges[i] = <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a>(V, 0);</div>
<div class="line"><span class="lineno"> 49</span> }</div>
<div class="line"><span class="lineno"> 50</span> </div>
<div class="line"><span class="lineno"> 51</span> <span class="comment">// Fills the array with zeros</span></div>
<div class="line"><span class="lineno"> 52</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; V; i++) {</div>
<div class="line"><span class="lineno"> 53</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; V; j++) {</div>
<div class="line"><span class="lineno"> 54</span> edges[i][j] = 0;</div>
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<div class="line"><span class="lineno"> 56</span> }</div>
<div class="line"><span class="lineno"> 57</span> </div>
<div class="line"><span class="lineno"> 58</span> this-&gt;vertexNum = V;</div>
<div class="line"><span class="lineno"> 59</span> }</div>
<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>
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<h2 class="groupheader">Member Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a0672b080707aaaacf9cc116d69ea4c3f">&#9670;&#160;</a></span>add_edge()</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a224b6efacbad55d59e11b046f792fe79">&#9670;&#160;</a></span>add_edge()</h2>
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<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 66</span> {</div>
<div class="line"><span class="lineno"> 67</span> this-&gt;edges[src][dst] = weight;</div>
<div class="line"><span class="lineno"> 68</span> }</div>
<div class="fragment"><div class="line"><span class="lineno"> 68</span> {</div>
<div class="line"><span class="lineno"> 69</span> this-&gt;edges[src][dst] = weight;</div>
<div class="line"><span class="lineno"> 70</span> }</div>
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<div class="header">
<div class="headertitle"><div class="title">greedy_algorithms::Graph Member List</div></div>
<div class="headertitle"><div class="title">greedy_algorithms::dijkstra::Graph Member List</div></div>
</div><!--header-->
<div class="contents">
<p>This is the complete list of members for <a class="el" href="../../d3/d64/classgreedy__algorithms_1_1_graph.html">greedy_algorithms::Graph</a>, including all inherited members.</p>
<p>This is the complete list of members for <a class="el" href="../../d2/daa/classgreedy__algorithms_1_1dijkstra_1_1_graph.html">greedy_algorithms::dijkstra::Graph</a>, including all inherited members.</p>
<table class="directory">
<tr class="even"><td class="entry"><a class="el" href="../../d3/d64/classgreedy__algorithms_1_1_graph.html#a0672b080707aaaacf9cc116d69ea4c3f">add_edge</a>(int src, int dst, int weight)</td><td class="entry"><a class="el" href="../../d3/d64/classgreedy__algorithms_1_1_graph.html">greedy_algorithms::Graph</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
<tr bgcolor="#f0f0f0" class="odd"><td class="entry"><b>edges</b> (defined in <a class="el" href="../../d3/d64/classgreedy__algorithms_1_1_graph.html">greedy_algorithms::Graph</a>)</td><td class="entry"><a class="el" href="../../d3/d64/classgreedy__algorithms_1_1_graph.html">greedy_algorithms::Graph</a></td><td class="entry"></td></tr>
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<tr bgcolor="#f0f0f0" class="odd"><td class="entry"><b>vertexNum</b> (defined in <a class="el" href="../../d3/d64/classgreedy__algorithms_1_1_graph.html">greedy_algorithms::Graph</a>)</td><td class="entry"><a class="el" href="../../d3/d64/classgreedy__algorithms_1_1_graph.html">greedy_algorithms::Graph</a></td><td class="entry"></td></tr>
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<tr bgcolor="#f0f0f0" class="odd"><td class="entry"><b>edges</b> (defined in <a class="el" href="../../d2/daa/classgreedy__algorithms_1_1dijkstra_1_1_graph.html">greedy_algorithms::dijkstra::Graph</a>)</td><td class="entry"><a class="el" href="../../d2/daa/classgreedy__algorithms_1_1dijkstra_1_1_graph.html">greedy_algorithms::dijkstra::Graph</a></td><td class="entry"></td></tr>
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<tr bgcolor="#f0f0f0" class="odd"><td class="entry"><b>vertexNum</b> (defined in <a class="el" href="../../d2/daa/classgreedy__algorithms_1_1dijkstra_1_1_graph.html">greedy_algorithms::dijkstra::Graph</a>)</td><td class="entry"><a class="el" href="../../d2/daa/classgreedy__algorithms_1_1dijkstra_1_1_graph.html">greedy_algorithms::dijkstra::Graph</a></td><td class="entry"></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:ac6731ab96fb83453aff4682d16fe2ea7"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d90/namespacegreedy__algorithms.html#ac6731ab96fb83453aff4682d16fe2ea7">greedy_algorithms::minimum_distance</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt; mdist, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; bool &gt; vset, int V)</td></tr>
<tr class="memdesc:ac6731ab96fb83453aff4682d16fe2ea7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Utility function that finds the vertex with the minimum distance in <code>mdist</code>. <br /></td></tr>
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<tr class="memdesc:a58aba3d694f77ce934f4e94042321649"><td class="mdescLeft">&#160;</td><td class="mdescRight">Utility function to print the distances to vertices. <br /></td></tr>
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<tr class="memitem:a04a39ac70bceeab6bcd3073da760e88a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d90/namespacegreedy__algorithms.html#a04a39ac70bceeab6bcd3073da760e88a">greedy_algorithms::dijkstra</a> (<a class="el" href="../../d3/d64/classgreedy__algorithms_1_1_graph.html">Graph</a> graph, int src)</td></tr>
<tr class="memdesc:a04a39ac70bceeab6bcd3073da760e88a"><td class="mdescLeft">&#160;</td><td class="mdescRight">The main function that finds the shortest path from given source to all other vertices using Dijkstra's Algorithm. <br /></td></tr>
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<tr class="memdesc:af6cb29ca6dc5771439f6ea7262058a71"><td class="mdescLeft">&#160;</td><td class="mdescRight">Utility function that finds the vertex with the minimum distance in <code>mdist</code>. <br /></td></tr>
<tr class="separator:af6cb29ca6dc5771439f6ea7262058a71"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7341d7c76a6145e991cdd231f689fca8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/dcb/greedy__algorithms_2dijkstra_8cpp.html#a7341d7c76a6145e991cdd231f689fca8">greedy_algorithms::dijkstra::print</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt; dist, int V)</td></tr>
<tr class="memdesc:a7341d7c76a6145e991cdd231f689fca8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Utility function to print the distances to vertices. <br /></td></tr>
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<tr class="memitem:af915876d0ca33cc71a6a6191a8cd3ccd"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/dcb/greedy__algorithms_2dijkstra_8cpp.html#af915876d0ca33cc71a6a6191a8cd3ccd">greedy_algorithms::dijkstra::dijkstra</a> (<a class="el" href="../../d2/daa/classgreedy__algorithms_1_1dijkstra_1_1_graph.html">Graph</a> graph, int src)</td></tr>
<tr class="memdesc:af915876d0ca33cc71a6a6191a8cd3ccd"><td class="mdescLeft">&#160;</td><td class="mdescRight">The main function that finds the shortest path from a given source to all other vertices using Dijkstra's Algorithm. <br /></td></tr>
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<dd>
<a href="https://github.com/arpanjain97" target="_blank">Arpan Jain</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="af915876d0ca33cc71a6a6191a8cd3ccd" name="af915876d0ca33cc71a6a6191a8cd3ccd"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af915876d0ca33cc71a6a6191a8cd3ccd">&#9670;&#160;</a></span>dijkstra()</h2>
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<td class="memname">void greedy_algorithms::dijkstra::dijkstra </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d2/daa/classgreedy__algorithms_1_1dijkstra_1_1_graph.html">Graph</a>&#160;</td>
<td class="paramname"><em>graph</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>src</em>&#160;</td>
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<tr>
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<p>The main function that finds the shortest path from a given source to all other vertices using Dijkstra's Algorithm. </p>
<dl class="section note"><dt>Note</dt><dd>This doesn't work on negative weights. </dd></dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">graph</td><td>the graph to be processed </td></tr>
<tr><td class="paramname">src</td><td>the source of the given vertex </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 124</span> {</div>
<div class="line"><span class="lineno"> 125</span> <span class="keywordtype">int</span> V = <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.vertexNum;</div>
<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&lt;int&gt;</a> mdist{}; <span class="comment">// Stores updated distances to the vertex</span></div>
<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&lt;bool&gt;</a> vset{}; <span class="comment">// `vset[i]` is true if the vertex `i` is included in the shortest path tree</span></div>
<div class="line"><span class="lineno"> 128</span> </div>
<div class="line"><span class="lineno"> 129</span> <span class="comment">// Initialize `mdist and `vset`. Set the distance of the source as zero</span></div>
<div class="line"><span class="lineno"> 130</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; V; i++) {</div>
<div class="line"><span class="lineno"> 131</span> mdist[i] = INT_MAX;</div>
<div class="line"><span class="lineno"> 132</span> vset[i] = <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 133</span> }</div>
<div class="line"><span class="lineno"> 134</span> </div>
<div class="line"><span class="lineno"> 135</span> mdist[src] = 0;</div>
<div class="line"><span class="lineno"> 136</span> </div>
<div class="line"><span class="lineno"> 137</span> <span class="comment">// iterate to find the shortest path</span></div>
<div class="line"><span class="lineno"> 138</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> count = 0; count &lt; V - 1; count++) {</div>
<div class="line"><span class="lineno"> 139</span> <span class="keywordtype">int</span> u = <a class="code hl_function" href="../../df/dcb/greedy__algorithms_2dijkstra_8cpp.html#af6cb29ca6dc5771439f6ea7262058a71">minimum_distance</a>(mdist, vset, V);</div>
<div class="line"><span class="lineno"> 140</span> </div>
<div class="line"><span class="lineno"> 141</span> vset[u] = <span class="keyword">true</span>;</div>
<div class="line"><span class="lineno"> 142</span> </div>
<div class="line"><span class="lineno"> 143</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> v = 0; v &lt; V; v++) {</div>
<div class="line"><span class="lineno"> 144</span> <span class="keywordflow">if</span> (!vset[v] &amp;&amp; <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.edges[u][v] &amp;&amp;</div>
<div class="line"><span class="lineno"> 145</span> mdist[u] + <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.edges[u][v] &lt; mdist[v]) {</div>
<div class="line"><span class="lineno"> 146</span> mdist[v] = mdist[u] + <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.edges[u][v];</div>
<div class="line"><span class="lineno"> 147</span> }</div>
<div class="line"><span class="lineno"> 148</span> }</div>
<div class="line"><span class="lineno"> 149</span> }</div>
<div class="line"><span class="lineno"> 150</span> </div>
<div class="line"><span class="lineno"> 151</span> print(mdist, V);</div>
<div class="line"><span class="lineno"> 152</span>}</div>
<div class="ttc" id="agreedy__algorithms_2dijkstra_8cpp_html_af6cb29ca6dc5771439f6ea7262058a71"><div class="ttname"><a href="../../df/dcb/greedy__algorithms_2dijkstra_8cpp.html#af6cb29ca6dc5771439f6ea7262058a71">greedy_algorithms::dijkstra::minimum_distance</a></div><div class="ttdeci">int minimum_distance(std::vector&lt; int &gt; mdist, std::vector&lt; bool &gt; vset, int V)</div><div class="ttdoc">Utility function that finds the vertex with the minimum distance in mdist.</div><div class="ttdef"><b>Definition</b> dijkstra.cpp:82</div></div>
<div class="ttc" id="anamespacegraph_html"><div class="ttname"><a href="../../df/dce/namespacegraph.html">graph</a></div><div class="ttdoc">Graph Algorithms.</div></div>
<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</a></span>main()</h2>
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<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 196</span> {</div>
<div class="line"><span class="lineno"> 197</span> <a class="code hl_function" href="../../d7/d1e/graph_2dijkstra_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 198</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 199</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 199</span> {</div>
<div class="line"><span class="lineno"> 200</span> <a class="code hl_function" href="../../d7/d1e/graph_2dijkstra_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 201</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 202</span>}</div>
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@@ -184,6 +260,118 @@ Here is the call graph for this function:</div>
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<h2 class="memtitle"><span class="permalink"><a href="#af6cb29ca6dc5771439f6ea7262058a71">&#9670;&#160;</a></span>minimum_distance()</h2>
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<td class="memname">int greedy_algorithms::dijkstra::minimum_distance </td>
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<td class="paramkey"></td>
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<td class="paramkey"></td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>V</em>&#160;</td>
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<tr>
<td></td>
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<p>Utility function that finds the vertex with the minimum distance in <code>mdist</code>. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">mdist</td><td>array of distances to each vertex </td></tr>
<tr><td class="paramname">vset</td><td>array indicating inclusion in the shortest path tree </td></tr>
<tr><td class="paramname">V</td><td>the number of vertices in the graph </td></tr>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>index of the vertex with the minimum distance </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 82</span> {</div>
<div class="line"><span class="lineno"> 83</span> <span class="keywordtype">int</span> minVal = INT_MAX, minInd = 0;</div>
<div class="line"><span class="lineno"> 84</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; V; i++) {</div>
<div class="line"><span class="lineno"> 85</span> <span class="keywordflow">if</span> (!vset[i] &amp;&amp; (mdist[i] &lt; minVal)) {</div>
<div class="line"><span class="lineno"> 86</span> minVal = mdist[i];</div>
<div class="line"><span class="lineno"> 87</span> minInd = i;</div>
<div class="line"><span class="lineno"> 88</span> }</div>
<div class="line"><span class="lineno"> 89</span> }</div>
<div class="line"><span class="lineno"> 90</span> </div>
<div class="line"><span class="lineno"> 91</span> <span class="keywordflow">return</span> minInd;</div>
<div class="line"><span class="lineno"> 92</span>}</div>
</div><!-- fragment --><div class="dynheader">
Here is the call graph for this function:</div>
<div class="dyncontent">
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<a id="a7341d7c76a6145e991cdd231f689fca8" name="a7341d7c76a6145e991cdd231f689fca8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7341d7c76a6145e991cdd231f689fca8">&#9670;&#160;</a></span>print()</h2>
<div class="memitem">
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<table class="memname">
<tr>
<td class="memname">void greedy_algorithms::dijkstra::print </td>
<td>(</td>
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt;&#160;</td>
<td class="paramname"><em>dist</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>V</em>&#160;</td>
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<td></td>
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<p>Utility function to print the distances to vertices. </p>
<p>This function prints the distances to each vertex in a tabular format. If the distance is equal to INT_MAX, it is displayed as "INF".</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">dist</td><td>An array representing the distances to each vertex. </td></tr>
<tr><td class="paramname">V</td><td>The number of vertices in the graph. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 104</span> {</div>
<div class="line"><span class="lineno"> 105</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;\nVertex Distance\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 106</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; V; i++) {</div>
<div class="line"><span class="lineno"> 107</span> <span class="keywordflow">if</span> (dist[i] &lt; INT_MAX) {</div>
<div class="line"><span class="lineno"> 108</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; i &lt;&lt; <span class="stringliteral">&quot;\t&quot;</span> &lt;&lt; dist[i] &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 109</span> }</div>
<div class="line"><span class="lineno"> 110</span> <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 111</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; i &lt;&lt; <span class="stringliteral">&quot;\tINF&quot;</span> &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 112</span> }</div>
<div class="line"><span class="lineno"> 113</span> }</div>
<div class="line"><span class="lineno"> 114</span>}</div>
<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>
</div><!-- fragment -->
</div>
</div>
<a id="a483bb8ccf42aaf7375a83e91490eda1e" name="a483bb8ccf42aaf7375a83e91490eda1e"></a>
@@ -211,43 +399,41 @@ Here is the call graph for this function:</div>
<p>Self-test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 157</span> {</div>
<div class="line"><span class="lineno"> 158</span> <a class="code hl_class" href="../../d3/d64/classgreedy__algorithms_1_1_graph.html">greedy_algorithms::Graph</a> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>(8);</div>
<div class="line"><span class="lineno"> 159</span> </div>
<div class="line"><span class="lineno"> 160</span> <span class="comment">// 1st test.</span></div>
<div class="line"><span class="lineno"> 161</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(6, 2, 4);</div>
<div class="line"><span class="lineno"> 162</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(2, 6, 4);</div>
<div class="line"><span class="lineno"> 163</span> </div>
<div class="line"><span class="lineno"> 164</span> assert(<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.edges[6][2] == 4);</div>
<div class="line"><span class="lineno"> 165</span> </div>
<div class="line"><span class="lineno"> 166</span> <span class="comment">// 2nd test.</span></div>
<div class="line"><span class="lineno"> 167</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(0, 1, 1);</div>
<div class="line"><span class="lineno"> 168</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(1, 0, 1);</div>
<div class="line"><span class="lineno"> 169</span> </div>
<div class="line"><span class="lineno"> 170</span> assert(<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.edges[0][1] == 1);</div>
<div class="line"><span class="lineno"> 171</span> </div>
<div class="line"><span class="lineno"> 172</span> <span class="comment">// 3rd test.</span></div>
<div class="line"><span class="lineno"> 173</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(0, 2, 7);</div>
<div class="line"><span class="lineno"> 174</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(2, 0, 7);</div>
<div class="line"><span class="lineno"> 175</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(1, 2, 1);</div>
<div class="line"><span class="lineno"> 176</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(2, 1, 1);</div>
<div class="line"><span class="lineno"> 177</span> </div>
<div class="line"><span class="lineno"> 178</span> assert(<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.edges[0][2] == 7);</div>
<div class="line"><span class="lineno"> 179</span> </div>
<div class="line"><span class="lineno"> 180</span> <span class="comment">// 4th test.</span></div>
<div class="line"><span class="lineno"> 181</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(1, 3, 3);</div>
<div class="line"><span class="lineno"> 182</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(3, 1, 3);</div>
<div class="line"><span class="lineno"> 183</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(1, 4, 2);</div>
<div class="line"><span class="lineno"> 184</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(4, 1, 2);</div>
<div class="line"><span class="lineno"> 185</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(2, 3, 2);</div>
<div class="line"><span class="lineno"> 186</span> </div>
<div class="line"><span class="lineno"> 187</span> assert(<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.edges[1][3] == 3);</div>
<div class="line"><span class="lineno"> 188</span> </div>
<div class="line"><span class="lineno"> 189</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;All tests have successfully passed!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 190</span>}</div>
<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>
<div class="ttc" id="aclassgreedy__algorithms_1_1_graph_html"><div class="ttname"><a href="../../d3/d64/classgreedy__algorithms_1_1_graph.html">greedy_algorithms::Graph</a></div><div class="ttdoc">Wrapper class for storing a graph.</div><div class="ttdef"><b>Definition</b> dijkstra.cpp:33</div></div>
<div class="ttc" id="anamespacegraph_html"><div class="ttname"><a href="../../df/dce/namespacegraph.html">graph</a></div><div class="ttdoc">Graph Algorithms.</div></div>
<div class="fragment"><div class="line"><span class="lineno"> 160</span> {</div>
<div class="line"><span class="lineno"> 161</span> <a class="code hl_class" href="../../d2/daa/classgreedy__algorithms_1_1dijkstra_1_1_graph.html">greedy_algorithms::dijkstra::Graph</a> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>(8);</div>
<div class="line"><span class="lineno"> 162</span> </div>
<div class="line"><span class="lineno"> 163</span> <span class="comment">// 1st test.</span></div>
<div class="line"><span class="lineno"> 164</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(6, 2, 4);</div>
<div class="line"><span class="lineno"> 165</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(2, 6, 4);</div>
<div class="line"><span class="lineno"> 166</span> </div>
<div class="line"><span class="lineno"> 167</span> assert(<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.edges[6][2] == 4);</div>
<div class="line"><span class="lineno"> 168</span> </div>
<div class="line"><span class="lineno"> 169</span> <span class="comment">// 2nd test.</span></div>
<div class="line"><span class="lineno"> 170</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(0, 1, 1);</div>
<div class="line"><span class="lineno"> 171</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(1, 0, 1);</div>
<div class="line"><span class="lineno"> 172</span> </div>
<div class="line"><span class="lineno"> 173</span> assert(<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.edges[0][1] == 1);</div>
<div class="line"><span class="lineno"> 174</span> </div>
<div class="line"><span class="lineno"> 175</span> <span class="comment">// 3rd test.</span></div>
<div class="line"><span class="lineno"> 176</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(0, 2, 7);</div>
<div class="line"><span class="lineno"> 177</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(2, 0, 7);</div>
<div class="line"><span class="lineno"> 178</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(1, 2, 1);</div>
<div class="line"><span class="lineno"> 179</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(2, 1, 1);</div>
<div class="line"><span class="lineno"> 180</span> </div>
<div class="line"><span class="lineno"> 181</span> assert(<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.edges[0][2] == 7);</div>
<div class="line"><span class="lineno"> 182</span> </div>
<div class="line"><span class="lineno"> 183</span> <span class="comment">// 4th test.</span></div>
<div class="line"><span class="lineno"> 184</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(1, 3, 3);</div>
<div class="line"><span class="lineno"> 185</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(3, 1, 3);</div>
<div class="line"><span class="lineno"> 186</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(1, 4, 2);</div>
<div class="line"><span class="lineno"> 187</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(4, 1, 2);</div>
<div class="line"><span class="lineno"> 188</span> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.add_edge(2, 3, 2);</div>
<div class="line"><span class="lineno"> 189</span> </div>
<div class="line"><span class="lineno"> 190</span> assert(<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.edges[1][3] == 3);</div>
<div class="line"><span class="lineno"> 191</span> </div>
<div class="line"><span class="lineno"> 192</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;All tests have successfully passed!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 193</span>}</div>
<div class="ttc" id="aclassgreedy__algorithms_1_1dijkstra_1_1_graph_html"><div class="ttname"><a href="../../d2/daa/classgreedy__algorithms_1_1dijkstra_1_1_graph.html">greedy_algorithms::dijkstra::Graph</a></div><div class="ttdoc">Wrapper class for storing a graph.</div><div class="ttdef"><b>Definition</b> dijkstra.cpp:35</div></div>
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<li>good_suffix&#160;:&#160;<a class="el" href="dd/d5a/structstrings_1_1boyer__moore_1_1pattern.html#a3d62f615a0171a5d77e7018f704f3a7e">strings::boyer_moore::pattern</a></li>
<li>Graph()&#160;:&#160;<a class="el" href="da/d9a/class_graph.html#adcbd1b60cab30b97c54d700eee8e456d">Graph</a>, <a class="el" href="dc/d61/classgraph_1_1_graph.html#a8839fa14bff19d2deab4a618447c13e5">graph::Graph&lt; T &gt;</a>, <a class="el" href="de/d00/classgraph_1_1is__graph__bipartite_1_1_graph.html#a6aef65b40347c4606662cad4dd2e14d3">graph::is_graph_bipartite::Graph</a>, <a class="el" href="d3/d64/classgreedy__algorithms_1_1_graph.html#ac0f2ff5759957b72ba5bbad592aa2381">greedy_algorithms::Graph</a></li>
<li>Graph()&#160;:&#160;<a class="el" href="da/d9a/class_graph.html#adcbd1b60cab30b97c54d700eee8e456d">Graph</a>, <a class="el" href="dc/d61/classgraph_1_1_graph.html#a8839fa14bff19d2deab4a618447c13e5">graph::Graph&lt; T &gt;</a>, <a class="el" href="de/d00/classgraph_1_1is__graph__bipartite_1_1_graph.html#a6aef65b40347c4606662cad4dd2e14d3">graph::is_graph_bipartite::Graph</a>, <a class="el" href="d2/daa/classgreedy__algorithms_1_1dijkstra_1_1_graph.html#afefaeb247734a7c64bd04e68e3c1c4bc">greedy_algorithms::dijkstra::Graph</a></li>
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@@ -139,7 +139,7 @@ This inheritance list is sorted roughly, but not completely, alphabetically:</di
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<tr id="row_35_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d6/d84/classhashing_1_1sha256_1_1_hash.html" target="_self">hashing::sha256::Hash</a></td><td class="desc">Contains hash array and functions to update it and convert it to a hexadecimal string </td></tr>
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<li>minimum_distance()&#160;:&#160;<a class="el" href="d2/d90/namespacegreedy__algorithms.html#ac6731ab96fb83453aff4682d16fe2ea7">greedy_algorithms</a></li>
<li>minmax_scaler()&#160;:&#160;<a class="el" href="d8/d77/namespacemachine__learning.html#ac332d152078e96311e43ac5e7183ea26">machine_learning</a></li>
<li>multiply()&#160;:&#160;<a class="el" href="df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2">ciphers::elliptic_curve_key_exchange</a>, <a class="el" href="d8/d77/namespacemachine__learning.html#a5342906d42b80fc6b6b3ad17bf00fcb9">machine_learning</a></li>
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<li>minimum_distance()&#160;:&#160;<a class="el" href="d2/d90/namespacegreedy__algorithms.html#ac6731ab96fb83453aff4682d16fe2ea7">greedy_algorithms</a></li>
<li>minmax_scaler()&#160;:&#160;<a class="el" href="d8/d77/namespacemachine__learning.html#ac332d152078e96311e43ac5e7183ea26">machine_learning</a></li>
<li>multiply()&#160;:&#160;<a class="el" href="df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2">ciphers::elliptic_curve_key_exchange</a>, <a class="el" href="d8/d77/namespacemachine__learning.html#a5342906d42b80fc6b6b3ad17bf00fcb9">machine_learning</a></li>
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<li>print()&#160;:&#160;<a class="el" href="d2/d90/namespacegreedy__algorithms.html#a58aba3d694f77ce934f4e94042321649">greedy_algorithms</a>, <a class="el" href="da/d6d/namespaceoperations__on__datastructures.html#a6109193567a5b7e36a27f2b4865fce20">operations_on_datastructures</a></li>
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<li>print_primes()&#160;:&#160;<a class="el" href="dd/d47/namespacemath.html#ad09d59850865012a6fd95d89954c82e4">math</a></li>
<li>putProber()&#160;:&#160;<a class="el" href="d0/d65/namespacedouble__hashing.html#ac2adfce49ac57f6dbd1778d2c1ce0d2b">double_hashing</a>, <a class="el" href="d8/d89/namespacelinear__probing.html#a75d779938df7ebc68581d922b60a2541">linear_probing</a>, <a class="el" href="d4/dd2/namespacequadratic__probing.html#adccc63a7e57cc6dba75bd62f40feb88b">quadratic_probing</a></li>
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