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<p>for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>
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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>
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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">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>
<tr class="separator:a127ce4403660032f53ae2e6467e5427d"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </p>
<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>
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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>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>src</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</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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<h2 class="memtitle"><span class="permalink"><a href="#a127ce4403660032f53ae2e6467e5427d">&#9670;&#160;</a></span>findMinimumEdge()</h2>
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<div class="memtemplate">
template&lt;typename T &gt; </div>
<table class="memname">
<tr>
<td class="memname">void greedy_algorithms::findMinimumEdge </td>
<td>(</td>
<td class="paramtype">const int &amp;&#160;</td>
<td class="paramname"><em>infinity</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">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;&#160;</td>
<td class="paramname"><em>graph</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
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</table>
</div><div class="memdoc">
<p>Finds the minimum edge of the given graph. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">infinity</td><td>Defines the infinity of the graph </td></tr>
<tr><td class="paramname">graph</td><td>The graph that will be used to find the edge </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"> 37</span> {</div>
<div class="line"><span class="lineno"> 38</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.size(); i++) {</div>
<div class="line"><span class="lineno"> 39</span> <span class="keywordtype">int</span> min = infinity;</div>
<div class="line"><span class="lineno"> 40</span> <span class="keywordtype">int</span> minIndex = 0;</div>
<div class="line"><span class="lineno"> 41</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>.size(); j++) {</div>
<div class="line"><span class="lineno"> 42</span> <span class="keywordflow">if</span> (<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>[i][j] != 0 &amp;&amp; <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>[i][j] &lt; min) {</div>
<div class="line"><span class="lineno"> 43</span> min = <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>[i][j];</div>
<div class="line"><span class="lineno"> 44</span> minIndex = j;</div>
<div class="line"><span class="lineno"> 45</span> }</div>
<div class="line"><span class="lineno"> 46</span> }</div>
<div class="line"><span class="lineno"> 47</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; - &quot;</span> &lt;&lt; minIndex &lt;&lt; <span class="stringliteral">&quot;\t&quot;</span> &lt;&lt; <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>[i][minIndex]</div>
<div class="line"><span class="lineno"> 48</span> &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</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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<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>
<tr>
<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>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>V</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
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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>
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<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="paramtype">int&#160;</td>
<td class="paramname"><em>V</em>&#160;</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>
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<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>
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<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<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>
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