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&#160;<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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Public Member Functions</h2></td></tr>
<tr class="memitem:ad89ca80a217655a735d266618197965e"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d05/class_min_heap.html#ad89ca80a217655a735d266618197965e">MinHeap</a> (int <a class="el" href="../../d2/d05/class_min_heap.html#a88b4aa3e66392a3eabbf2517a9a79a02">capacity</a>)</td></tr>
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<tr class="memitem:aaef438c1056492cb62c4a4d9035b5cad"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d05/class_min_heap.html#aaef438c1056492cb62c4a4d9035b5cad">MinHeapify</a> (int)</td></tr>
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int&#160;</td><td class="memItemRight" valign="bottom"><b>parent</b> (int i)</td></tr>
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<tr class="memitem:aa8c6c141e3de664819686aa637e1afca"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d05/class_min_heap.html#aa8c6c141e3de664819686aa637e1afca">left</a> (int i)</td></tr>
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<tr class="memitem:ac760b85cf90265b8d674b942a43fb70e"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d05/class_min_heap.html#ac760b85cf90265b8d674b942a43fb70e">right</a> (int i)</td></tr>
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<tr class="memitem:a4014f1edaed0bd7db0c0d2ca53228980"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d05/class_min_heap.html#a4014f1edaed0bd7db0c0d2ca53228980">extractMin</a> ()</td></tr>
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<tr class="memitem:aa7f726cc6327955d22871592227432f5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d05/class_min_heap.html#aa7f726cc6327955d22871592227432f5">decreaseKey</a> (int i, int new_val)</td></tr>
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<tr class="memitem:a336ac71f0d857269fe9a98058a3cd130"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d05/class_min_heap.html#a336ac71f0d857269fe9a98058a3cd130">getMin</a> ()</td></tr>
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<tr class="memitem:a37ac126eabb0c3ce04047172abccca29"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d05/class_min_heap.html#a37ac126eabb0c3ce04047172abccca29">deleteKey</a> (int i)</td></tr>
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<tr class="memitem:aef78f3384f5a0ae880ad0883d2d44b82"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d05/class_min_heap.html#aef78f3384f5a0ae880ad0883d2d44b82">insertKey</a> (int <a class="el" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>)</td></tr>
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Private Attributes</h2></td></tr>
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int *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a></td></tr>
<tr class="memdesc:a34a93a87967308eb516328c0aca3c48e"><td class="mdescLeft">&#160;</td><td class="mdescRight">pointer to array of elements in heap <br /></td></tr>
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int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d05/class_min_heap.html#a88b4aa3e66392a3eabbf2517a9a79a02">capacity</a></td></tr>
<tr class="memdesc:a88b4aa3e66392a3eabbf2517a9a79a02"><td class="mdescLeft">&#160;</td><td class="mdescRight">maximum possible size of min heap <br /></td></tr>
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int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a></td></tr>
<tr class="memdesc:ae4d358bf063bb196a1945b3fb99b4913"><td class="mdescLeft">&#160;</td><td class="mdescRight">Current number of elements in min heap. <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>A class for Min Heap </p>
</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
<a id="ad89ca80a217655a735d266618197965e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad89ca80a217655a735d266618197965e">&#9670;&nbsp;</a></span>MinHeap()</h2>
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<td class="memname">MinHeap::MinHeap </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>cap</em></td><td>)</td>
<td></td>
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</div><div class="memdoc">
<p>Constructor </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">capacity</td><td>initial heap capacity</td></tr>
</table>
</dd>
</dl>
<p>Constructor: Builds a heap from a given array a[] of given size </p>
<div class="fragment"><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; {</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; <a class="code" href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a> = 0;</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; <a class="code" href="../../d2/d05/class_min_heap.html#a88b4aa3e66392a3eabbf2517a9a79a02">capacity</a> = cap;</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; <a class="code" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a> = <span class="keyword">new</span> <span class="keywordtype">int</span>[cap];</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160;}</div>
</div><!-- fragment -->
</div>
</div>
<h2 class="groupheader">Member Function Documentation</h2>
<a id="aa7f726cc6327955d22871592227432f5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa7f726cc6327955d22871592227432f5">&#9670;&nbsp;</a></span>decreaseKey()</h2>
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<td class="memname">void MinHeap::decreaseKey </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>i</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>new_val</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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</div><div class="memdoc">
<p>Decreases key value of key at index i to new_val</p>
<p>Decreases value of key at index 'i' to new_val. It is assumed that new_val is smaller than harr[i]. </p>
<div class="fragment"><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; {</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; <a class="code" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[i] = new_val;</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <span class="keywordflow">while</span> (i != 0 &amp;&amp; <a class="code" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[parent(i)] &gt; <a class="code" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[i]) {</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(<a class="code" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[i], <a class="code" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[parent(i)]);</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; i = parent(i);</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; }</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a37ac126eabb0c3ce04047172abccca29">&#9670;&nbsp;</a></span>deleteKey()</h2>
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<td class="memname">void MinHeap::deleteKey </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>i</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Deletes a key stored at index i</p>
<p>This function deletes key at index i. It first reduced value to minus infinite, then calls <a class="el" href="../../d2/d05/class_min_heap.html#a4014f1edaed0bd7db0c0d2ca53228980">extractMin()</a> </p>
<div class="fragment"><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; {</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; <a class="code" href="../../d2/d05/class_min_heap.html#aa7f726cc6327955d22871592227432f5">decreaseKey</a>(i, INT_MIN);</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; <a class="code" href="../../d2/d05/class_min_heap.html#a4014f1edaed0bd7db0c0d2ca53228980">extractMin</a>();</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a4014f1edaed0bd7db0c0d2ca53228980">&#9670;&nbsp;</a></span>extractMin()</h2>
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<td class="memname">int MinHeap::extractMin </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>to extract the root which is the minimum element </p>
<div class="fragment"><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; {</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a> &lt;= 0)</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; <span class="keywordflow">return</span> INT_MAX;</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a> == 1) {</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; <a class="code" href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a>--;</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; <span class="keywordflow">return</span> <a class="code" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[0];</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; }</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; </div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; <span class="comment">// Store the minimum value, and remove it from heap</span></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; <span class="keywordtype">int</span> root = <a class="code" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[0];</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; <a class="code" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[0] = <a class="code" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[<a class="code" href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a> - 1];</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; <a class="code" href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a>--;</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; <a class="code" href="../../d2/d05/class_min_heap.html#aaef438c1056492cb62c4a4d9035b5cad">MinHeapify</a>(0);</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; </div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; <span class="keywordflow">return</span> root;</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a336ac71f0d857269fe9a98058a3cd130">&#9670;&nbsp;</a></span>getMin()</h2>
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<td class="memname">int MinHeap::getMin </td>
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<p>Returns the minimum key (key at root) from min heap </p>
<div class="fragment"><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;{ <span class="keywordflow">return</span> <a class="code" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[0]; }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#aef78f3384f5a0ae880ad0883d2d44b82">&#9670;&nbsp;</a></span>insertKey()</h2>
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<td class="memname">void MinHeap::insertKey </td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>k</em></td><td>)</td>
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<p>Inserts a new key 'k' </p>
<div class="fragment"><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; {</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a> == <a class="code" href="../../d2/d05/class_min_heap.html#a88b4aa3e66392a3eabbf2517a9a79a02">capacity</a>) {</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;\nOverflow: Could not insertKey\n&quot;</span>;</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; }</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; </div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; <span class="comment">// First insert the new key at the end</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <a class="code" href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a>++;</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; <span class="keywordtype">int</span> i = <a class="code" href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a> - 1;</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; <a class="code" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[i] = <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>;</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; </div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="comment">// Fix the min heap property if it is violated</span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <span class="keywordflow">while</span> (i != 0 &amp;&amp; <a class="code" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[parent(i)] &gt; <a class="code" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[i]) {</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(<a class="code" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[i], <a class="code" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[parent(i)]);</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; i = parent(i);</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; }</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8c6c141e3de664819686aa637e1afca">&#9670;&nbsp;</a></span>left()</h2>
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<td class="memname">int MinHeap::left </td>
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<p>to get index of left child of node at index i </p>
<div class="fragment"><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;{ <span class="keywordflow">return</span> (2 * i + 1); }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#aaef438c1056492cb62c4a4d9035b5cad">&#9670;&nbsp;</a></span>MinHeapify()</h2>
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<td class="memname">void MinHeap::MinHeapify </td>
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<td class="paramname"><em>i</em></td><td>)</td>
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<p>to heapify a subtree with the root at given index</p>
<p>A recursive method to heapify a subtree with the root at given index This method assumes that the subtrees are already heapified </p>
<div class="fragment"><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; {</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; <span class="keywordtype">int</span> l = <a class="code" href="../../d2/d05/class_min_heap.html#aa8c6c141e3de664819686aa637e1afca">left</a>(i);</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; <span class="keywordtype">int</span> r = <a class="code" href="../../d2/d05/class_min_heap.html#ac760b85cf90265b8d674b942a43fb70e">right</a>(i);</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; <span class="keywordtype">int</span> smallest = i;</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; <span class="keywordflow">if</span> (l &lt; <a class="code" href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a> &amp;&amp; <a class="code" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[l] &lt; <a class="code" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[i])</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; smallest = l;</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; <span class="keywordflow">if</span> (r &lt; <a class="code" href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a> &amp;&amp; <a class="code" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[r] &lt; <a class="code" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[smallest])</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; smallest = r;</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; <span class="keywordflow">if</span> (smallest != i) {</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(<a class="code" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[i], <a class="code" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[smallest]);</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; <a class="code" href="../../d2/d05/class_min_heap.html#aaef438c1056492cb62c4a4d9035b5cad">MinHeapify</a>(smallest);</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160; }</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ac760b85cf90265b8d674b942a43fb70e">&#9670;&nbsp;</a></span>right()</h2>
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<td class="memname">int MinHeap::right </td>
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<td class="paramname"><em>i</em></td><td>)</td>
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<p>to get index of right child of node at index i </p>
<div class="fragment"><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;{ <span class="keywordflow">return</span> (2 * i + 2); }</div>
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<hr/>The documentation for this class was generated from the following file:<ul>
<li>data_structures/<a class="el" href="../../de/dc3/binaryheap_8cpp.html">binaryheap.cpp</a></li>
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<div class="ttc" id="aclass_min_heap_html_ae4d358bf063bb196a1945b3fb99b4913"><div class="ttname"><a href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">MinHeap::heap_size</a></div><div class="ttdeci">int heap_size</div><div class="ttdoc">Current number of elements in min heap.</div><div class="ttdef"><b>Definition:</b> binaryheap.cpp:13</div></div>
<div class="ttc" id="aclass_min_heap_html_aa7f726cc6327955d22871592227432f5"><div class="ttname"><a href="../../d2/d05/class_min_heap.html#aa7f726cc6327955d22871592227432f5">MinHeap::decreaseKey</a></div><div class="ttdeci">void decreaseKey(int i, int new_val)</div><div class="ttdef"><b>Definition:</b> binaryheap.cpp:78</div></div>
<div class="ttc" id="aclass_min_heap_html_a88b4aa3e66392a3eabbf2517a9a79a02"><div class="ttname"><a href="../../d2/d05/class_min_heap.html#a88b4aa3e66392a3eabbf2517a9a79a02">MinHeap::capacity</a></div><div class="ttdeci">int capacity</div><div class="ttdoc">maximum possible size of min heap</div><div class="ttdef"><b>Definition:</b> binaryheap.cpp:12</div></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="amatrix__exponentiation_8cpp_html_afcf0d19607cd0edd8ae333d2b9c220c0"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a></div><div class="ttdeci">ll k</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:48</div></div>
<div class="ttc" id="aclass_min_heap_html_a34a93a87967308eb516328c0aca3c48e"><div class="ttname"><a href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">MinHeap::harr</a></div><div class="ttdeci">int * harr</div><div class="ttdoc">pointer to array of elements in heap</div><div class="ttdef"><b>Definition:</b> binaryheap.cpp:11</div></div>
<div class="ttc" id="aclass_min_heap_html_aaef438c1056492cb62c4a4d9035b5cad"><div class="ttname"><a href="../../d2/d05/class_min_heap.html#aaef438c1056492cb62c4a4d9035b5cad">MinHeap::MinHeapify</a></div><div class="ttdeci">void MinHeapify(int)</div><div class="ttdef"><b>Definition:</b> binaryheap.cpp:115</div></div>
<div class="ttc" id="aclass_min_heap_html_aa8c6c141e3de664819686aa637e1afca"><div class="ttname"><a href="../../d2/d05/class_min_heap.html#aa8c6c141e3de664819686aa637e1afca">MinHeap::left</a></div><div class="ttdeci">int left(int i)</div><div class="ttdef"><b>Definition:</b> binaryheap.cpp:28</div></div>
<div class="ttc" id="aswap_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a></div><div class="ttdeci">T swap(T... args)</div></div>
<div class="ttc" id="aclass_min_heap_html_a4014f1edaed0bd7db0c0d2ca53228980"><div class="ttname"><a href="../../d2/d05/class_min_heap.html#a4014f1edaed0bd7db0c0d2ca53228980">MinHeap::extractMin</a></div><div class="ttdeci">int extractMin()</div><div class="ttdef"><b>Definition:</b> binaryheap.cpp:87</div></div>
<div class="ttc" id="aclass_min_heap_html_ac760b85cf90265b8d674b942a43fb70e"><div class="ttname"><a href="../../d2/d05/class_min_heap.html#ac760b85cf90265b8d674b942a43fb70e">MinHeap::right</a></div><div class="ttdeci">int right(int i)</div><div class="ttdef"><b>Definition:</b> binaryheap.cpp:31</div></div>
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