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<p>A simple tree implementation using nodes.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;algorithm&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;queue&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for avltree.cpp:</div>
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Typedefs</h2></td></tr>
<tr class="memitem:a3e7e4d8f7f8e212c1d31fe6b5d5da66a"><td class="memItemLeft" align="right" valign="top">using&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/dee/avltree_8cpp.html#a3e7e4d8f7f8e212c1d31fe6b5d5da66a">node</a> = <a class="el" href="../../d5/da1/structnode.html">node</a> { int <a class="el" href="../../d1/df3/hash__search_8cpp.html#a6e1a77282bc65ad359d753d25df23243">data</a></td></tr>
<tr class="memdesc:a3e7e4d8f7f8e212c1d31fe6b5d5da66a"><td class="mdescLeft">&#160;</td><td class="mdescRight">for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/queue.html">std::queue</a> <br /></td></tr>
<tr class="separator:a3e7e4d8f7f8e212c1d31fe6b5d5da66a"><td class="memSeparator" colspan="2">&#160;</td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a48d897353aeb6a721dbc6b6c57e035e6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d5/da1/structnode.html">node</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/dee/avltree_8cpp.html#a48d897353aeb6a721dbc6b6c57e035e6">createNode</a> (int <a class="el" href="../../d1/df3/hash__search_8cpp.html#a6e1a77282bc65ad359d753d25df23243">data</a>)</td></tr>
<tr class="memdesc:a48d897353aeb6a721dbc6b6c57e035e6"><td class="mdescLeft">&#160;</td><td class="mdescRight">creates and returns a new node <br /></td></tr>
<tr class="separator:a48d897353aeb6a721dbc6b6c57e035e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae4a66d8b0c2b0d626aea45977e358c83"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a> (<a class="el" href="../../d5/da1/structnode.html">node</a> *root)</td></tr>
<tr class="separator:ae4a66d8b0c2b0d626aea45977e358c83"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aaa457ffec24c9643f2768e7a65e96546"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/dee/avltree_8cpp.html#aaa457ffec24c9643f2768e7a65e96546">getBalance</a> (<a class="el" href="../../d5/da1/structnode.html">node</a> *root)</td></tr>
<tr class="separator:aaa457ffec24c9643f2768e7a65e96546"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:adfc1d482a564c041756719667b955b8c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d5/da1/structnode.html">node</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/dee/avltree_8cpp.html#adfc1d482a564c041756719667b955b8c">rightRotate</a> (<a class="el" href="../../d5/da1/structnode.html">node</a> *root)</td></tr>
<tr class="separator:adfc1d482a564c041756719667b955b8c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a473eee1803e4e44a54d685e4b0eef5a6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d5/da1/structnode.html">node</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/dee/avltree_8cpp.html#a473eee1803e4e44a54d685e4b0eef5a6">leftRotate</a> (<a class="el" href="../../d5/da1/structnode.html">node</a> *root)</td></tr>
<tr class="separator:a473eee1803e4e44a54d685e4b0eef5a6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5fa160a678a34dd51c0aea1c0c00ed5e"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d5/da1/structnode.html">node</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/dee/avltree_8cpp.html#a5fa160a678a34dd51c0aea1c0c00ed5e">minValue</a> (<a class="el" href="../../d5/da1/structnode.html">node</a> *root)</td></tr>
<tr class="separator:a5fa160a678a34dd51c0aea1c0c00ed5e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2473fe7416332495b2678ebe89652e4b"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d5/da1/structnode.html">node</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/dee/avltree_8cpp.html#a2473fe7416332495b2678ebe89652e4b">insert</a> (<a class="el" href="../../d5/da1/structnode.html">node</a> *root, int item)</td></tr>
<tr class="memdesc:a2473fe7416332495b2678ebe89652e4b"><td class="mdescLeft">&#160;</td><td class="mdescRight">inserts a new element into AVL tree <br /></td></tr>
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<tr class="memitem:aa29a7fdc2db1784f5a6e25025ff7cbf5"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d5/da1/structnode.html">node</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/dee/avltree_8cpp.html#aa29a7fdc2db1784f5a6e25025ff7cbf5">deleteNode</a> (<a class="el" href="../../d5/da1/structnode.html">node</a> *root, int element)</td></tr>
<tr class="memdesc:aa29a7fdc2db1784f5a6e25025ff7cbf5"><td class="mdescLeft">&#160;</td><td class="mdescRight">removes a given element from AVL tree <br /></td></tr>
<tr class="separator:aa29a7fdc2db1784f5a6e25025ff7cbf5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a82659e9e223e520cf91d7e55c4a3f88c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/dee/avltree_8cpp.html#a82659e9e223e520cf91d7e55c4a3f88c">deleteAllNodes</a> (const <a class="el" href="../../d5/da1/structnode.html">node</a> *const root)</td></tr>
<tr class="memdesc:a82659e9e223e520cf91d7e55c4a3f88c"><td class="mdescLeft">&#160;</td><td class="mdescRight">calls delete on every node <br /></td></tr>
<tr class="separator:a82659e9e223e520cf91d7e55c4a3f88c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae197eb50188fb761346952b9b5f6be59"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/dee/avltree_8cpp.html#ae197eb50188fb761346952b9b5f6be59">levelOrder</a> (<a class="el" href="../../d5/da1/structnode.html">node</a> *root)</td></tr>
<tr class="memdesc:ae197eb50188fb761346952b9b5f6be59"><td class="mdescLeft">&#160;</td><td class="mdescRight">prints given tree in the LevelOrder <br /></td></tr>
<tr class="separator:ae197eb50188fb761346952b9b5f6be59"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/dee/avltree_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <br /></td></tr>
<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
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Variables</h2></td></tr>
<tr class="memitem:ad12fc34ce789bce6c8a05d8a17138534"><td class="memItemLeft" align="right" valign="top"><a id="ad12fc34ce789bce6c8a05d8a17138534" name="ad12fc34ce789bce6c8a05d8a17138534"></a>
int&#160;</td><td class="memItemRight" valign="bottom"><b>height</b></td></tr>
<tr class="separator:ad12fc34ce789bce6c8a05d8a17138534"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af0a44f6d3fb08e7eb0f4c0900ec23e7d"><td class="memItemLeft" align="right" valign="top"><a id="af0a44f6d3fb08e7eb0f4c0900ec23e7d" name="af0a44f6d3fb08e7eb0f4c0900ec23e7d"></a>
struct <a class="el" href="../../d5/da1/structnode.html">node</a> *&#160;</td><td class="memItemRight" valign="bottom"><b>left</b></td></tr>
<tr class="separator:af0a44f6d3fb08e7eb0f4c0900ec23e7d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac0aef301b237e3deef5a3a7dd7ac68d0"><td class="memItemLeft" align="right" valign="top"><a id="ac0aef301b237e3deef5a3a7dd7ac68d0" name="ac0aef301b237e3deef5a3a7dd7ac68d0"></a>
struct <a class="el" href="../../d5/da1/structnode.html">node</a> *&#160;</td><td class="memItemRight" valign="bottom"><b>right</b></td></tr>
<tr class="separator:ac0aef301b237e3deef5a3a7dd7ac68d0"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>A simple tree implementation using nodes. </p>
<dl class="todo"><dt><b><a class="el" href="../../dd/da0/todo.html#_todo000002">Todo:</a></b></dt><dd>update code to use C++ STL library features and OO structure </dd></dl>
<dl class="section warning"><dt>Warning</dt><dd>This program is a poor implementation and does not utilize any of the C++ STL features. </dd></dl>
</div><h2 class="groupheader">Typedef Documentation</h2>
<a id="a3e7e4d8f7f8e212c1d31fe6b5d5da66a" name="a3e7e4d8f7f8e212c1d31fe6b5d5da66a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3e7e4d8f7f8e212c1d31fe6b5d5da66a">&#9670;&#160;</a></span>node</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">using <a class="el" href="../../d5/da1/structnode.html">node</a> = <a class="el" href="../../d5/da1/structnode.html">node</a> { int <a class="el" href="../../d1/df3/hash__search_8cpp.html#a6e1a77282bc65ad359d753d25df23243">data</a></td>
</tr>
</table>
</div><div class="memdoc">
<p>for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/queue.html">std::queue</a> </p>
<p>for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a> for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> </p>
</div>
</div>
<h2 class="groupheader">Function Documentation</h2>
<a id="a48d897353aeb6a721dbc6b6c57e035e6" name="a48d897353aeb6a721dbc6b6c57e035e6"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a48d897353aeb6a721dbc6b6c57e035e6">&#9670;&#160;</a></span>createNode()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="../../d5/da1/structnode.html">node</a> * createNode </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>data</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>creates and returns a new node </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">data</td><td>value stored in the node </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>newly created node </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 25</span> {</div>
<div class="line"><span class="lineno"> 26</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *nn = <span class="keyword">new</span> <a class="code hl_typedef" href="../../d8/dee/avltree_8cpp.html#a3e7e4d8f7f8e212c1d31fe6b5d5da66a">node</a>();</div>
<div class="line"><span class="lineno"> 27</span> nn-&gt;data = <a class="code hl_variable" href="../../d1/df3/hash__search_8cpp.html#a6e1a77282bc65ad359d753d25df23243">data</a>;</div>
<div class="line"><span class="lineno"> 28</span> nn-&gt;height = 0;</div>
<div class="line"><span class="lineno"> 29</span> nn-&gt;left = <span class="keyword">nullptr</span>;</div>
<div class="line"><span class="lineno"> 30</span> nn-&gt;right = <span class="keyword">nullptr</span>;</div>
<div class="line"><span class="lineno"> 31</span> <span class="keywordflow">return</span> nn;</div>
<div class="line"><span class="lineno"> 32</span>}</div>
<div class="ttc" id="aavltree_8cpp_html_a3e7e4d8f7f8e212c1d31fe6b5d5da66a"><div class="ttname"><a href="../../d8/dee/avltree_8cpp.html#a3e7e4d8f7f8e212c1d31fe6b5d5da66a">node</a></div><div class="ttdeci">node { int data node</div><div class="ttdoc">for std::queue</div><div class="ttdef"><b>Definition:</b> avltree.cpp:14</div></div>
<div class="ttc" id="ahash__search_8cpp_html_a6e1a77282bc65ad359d753d25df23243"><div class="ttname"><a href="../../d1/df3/hash__search_8cpp.html#a6e1a77282bc65ad359d753d25df23243">data</a></div><div class="ttdeci">int data[MAX]</div><div class="ttdoc">test data</div><div class="ttdef"><b>Definition:</b> hash_search.cpp:24</div></div>
<div class="ttc" id="astructnode_html"><div class="ttname"><a href="../../d5/da1/structnode.html">node</a></div><div class="ttdef"><b>Definition:</b> binary_search_tree.cpp:11</div></div>
</div><!-- fragment -->
</div>
</div>
<a id="a82659e9e223e520cf91d7e55c4a3f88c" name="a82659e9e223e520cf91d7e55c4a3f88c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a82659e9e223e520cf91d7e55c4a3f88c">&#9670;&#160;</a></span>deleteAllNodes()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void deleteAllNodes </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d5/da1/structnode.html">node</a> *const&#160;</td>
<td class="paramname"><em>root</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>calls delete on every node </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">root</td><td>of the tree </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><span class="lineno"> 151</span> {</div>
<div class="line"><span class="lineno"> 152</span> <span class="keywordflow">if</span> (root) {</div>
<div class="line"><span class="lineno"> 153</span> <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#a82659e9e223e520cf91d7e55c4a3f88c">deleteAllNodes</a>(root-&gt;left);</div>
<div class="line"><span class="lineno"> 154</span> <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#a82659e9e223e520cf91d7e55c4a3f88c">deleteAllNodes</a>(root-&gt;right);</div>
<div class="line"><span class="lineno"> 155</span> <span class="keyword">delete</span> root;</div>
<div class="line"><span class="lineno"> 156</span> }</div>
<div class="line"><span class="lineno"> 157</span>}</div>
<div class="ttc" id="aavltree_8cpp_html_a82659e9e223e520cf91d7e55c4a3f88c"><div class="ttname"><a href="../../d8/dee/avltree_8cpp.html#a82659e9e223e520cf91d7e55c4a3f88c">deleteAllNodes</a></div><div class="ttdeci">void deleteAllNodes(const node *const root)</div><div class="ttdoc">calls delete on every node</div><div class="ttdef"><b>Definition:</b> avltree.cpp:151</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa29a7fdc2db1784f5a6e25025ff7cbf5">&#9670;&#160;</a></span>deleteNode()</h2>
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<td class="memname"><a class="el" href="../../d5/da1/structnode.html">node</a> * deleteNode </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d5/da1/structnode.html">node</a> *&#160;</td>
<td class="paramname"><em>root</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>element</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
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<p>removes a given element from AVL tree </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir"></td><td class="paramname">root</td><td>of the tree </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">element</td><td>the element to be deleted from the tree </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>root of the updated tree </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 122</span> {</div>
<div class="line"><span class="lineno"> 123</span> <span class="keywordflow">if</span> (root == <span class="keyword">nullptr</span>) {</div>
<div class="line"><span class="lineno"> 124</span> <span class="keywordflow">return</span> root;</div>
<div class="line"><span class="lineno"> 125</span> }</div>
<div class="line"><span class="lineno"> 126</span> <span class="keywordflow">if</span> (element &lt; root-&gt;<a class="code hl_variable" href="../../d1/df3/hash__search_8cpp.html#a6e1a77282bc65ad359d753d25df23243">data</a>) {</div>
<div class="line"><span class="lineno"> 127</span> root-&gt;left = <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#aa29a7fdc2db1784f5a6e25025ff7cbf5">deleteNode</a>(root-&gt;left, element);</div>
<div class="line"><span class="lineno"> 128</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (element &gt; root-&gt;<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/data.html">data</a>) {</div>
<div class="line"><span class="lineno"> 129</span> root-&gt;right = <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#aa29a7fdc2db1784f5a6e25025ff7cbf5">deleteNode</a>(root-&gt;right, element);</div>
<div class="line"><span class="lineno"> 130</span> </div>
<div class="line"><span class="lineno"> 131</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 132</span> <span class="comment">// Node to be deleted is leaf node or have only one Child</span></div>
<div class="line"><span class="lineno"> 133</span> <span class="keywordflow">if</span> (!root-&gt;right || !root-&gt;left) {</div>
<div class="line"><span class="lineno"> 134</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *temp = !root-&gt;right ? root-&gt;left : root-&gt;right;</div>
<div class="line"><span class="lineno"> 135</span> <span class="keyword">delete</span> root;</div>
<div class="line"><span class="lineno"> 136</span> <span class="keywordflow">return</span> temp;</div>
<div class="line"><span class="lineno"> 137</span> }</div>
<div class="line"><span class="lineno"> 138</span> <span class="comment">// Node to be deleted have both left and right subtrees</span></div>
<div class="line"><span class="lineno"> 139</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *temp = <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#a5fa160a678a34dd51c0aea1c0c00ed5e">minValue</a>(root-&gt;right);</div>
<div class="line"><span class="lineno"> 140</span> root-&gt;<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/data.html">data</a> = temp-&gt;data;</div>
<div class="line"><span class="lineno"> 141</span> root-&gt;right = <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#aa29a7fdc2db1784f5a6e25025ff7cbf5">deleteNode</a>(root-&gt;right, temp-&gt;data);</div>
<div class="line"><span class="lineno"> 142</span> }</div>
<div class="line"><span class="lineno"> 143</span> <span class="comment">// Balancing Tree after deletion</span></div>
<div class="line"><span class="lineno"> 144</span> <span class="keywordflow">return</span> root;</div>
<div class="line"><span class="lineno"> 145</span>}</div>
<div class="ttc" id="aavltree_8cpp_html_a5fa160a678a34dd51c0aea1c0c00ed5e"><div class="ttname"><a href="../../d8/dee/avltree_8cpp.html#a5fa160a678a34dd51c0aea1c0c00ed5e">minValue</a></div><div class="ttdeci">node * minValue(node *root)</div><div class="ttdef"><b>Definition:</b> avltree.cpp:79</div></div>
<div class="ttc" id="aavltree_8cpp_html_aa29a7fdc2db1784f5a6e25025ff7cbf5"><div class="ttname"><a href="../../d8/dee/avltree_8cpp.html#aa29a7fdc2db1784f5a6e25025ff7cbf5">deleteNode</a></div><div class="ttdeci">node * deleteNode(node *root, int element)</div><div class="ttdoc">removes a given element from AVL tree</div><div class="ttdef"><b>Definition:</b> avltree.cpp:122</div></div>
<div class="ttc" id="adata_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/data.html">std::vector::data</a></div><div class="ttdeci">T data(T... args)</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aaa457ffec24c9643f2768e7a65e96546">&#9670;&#160;</a></span>getBalance()</h2>
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<td class="memname">int getBalance </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d5/da1/structnode.html">node</a> *&#160;</td>
<td class="paramname"><em>root</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">root</td><td>of the tree </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>difference between height of left and right subtree </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 49</span>{ <span class="keywordflow">return</span> height(root-&gt;left) - height(root-&gt;right); }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae4a66d8b0c2b0d626aea45977e358c83">&#9670;&#160;</a></span>height()</h2>
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<td class="memname">int height </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d5/da1/structnode.html">node</a> *&#160;</td>
<td class="paramname"><em>root</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">root</td><td>the root of the tree </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>height of tree </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 38</span> {</div>
<div class="line"><span class="lineno"> 39</span> <span class="keywordflow">if</span> (root == <span class="keyword">nullptr</span>) {</div>
<div class="line"><span class="lineno"> 40</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 41</span> }</div>
<div class="line"><span class="lineno"> 42</span> <span class="keywordflow">return</span> 1 + <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a>(height(root-&gt;left), height(root-&gt;right));</div>
<div class="line"><span class="lineno"> 43</span>}</div>
<div class="ttc" id="amax_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a></div><div class="ttdeci">T max(T... args)</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a2473fe7416332495b2678ebe89652e4b">&#9670;&#160;</a></span>insert()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
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<td class="memname"><a class="el" href="../../d5/da1/structnode.html">node</a> * insert </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d5/da1/structnode.html">node</a> *&#160;</td>
<td class="paramname"><em>root</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>item</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>inserts a new element into AVL tree </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir"></td><td class="paramname">root</td><td>of the tree </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">item</td><td>the element to be insterted into the tree </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>root of the updated tree </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 92</span> {</div>
<div class="line"><span class="lineno"> 93</span> <span class="keywordflow">if</span> (root == <span class="keyword">nullptr</span>) {</div>
<div class="line"><span class="lineno"> 94</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#a48d897353aeb6a721dbc6b6c57e035e6">createNode</a>(item);</div>
<div class="line"><span class="lineno"> 95</span> }</div>
<div class="line"><span class="lineno"> 96</span> <span class="keywordflow">if</span> (item &lt; root-&gt;<a class="code hl_variable" href="../../d1/df3/hash__search_8cpp.html#a6e1a77282bc65ad359d753d25df23243">data</a>) {</div>
<div class="line"><span class="lineno"> 97</span> root-&gt;left = <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#a2473fe7416332495b2678ebe89652e4b">insert</a>(root-&gt;left, item);</div>
<div class="line"><span class="lineno"> 98</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 99</span> root-&gt;right = <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#a2473fe7416332495b2678ebe89652e4b">insert</a>(root-&gt;right, item);</div>
<div class="line"><span class="lineno"> 100</span> }</div>
<div class="line"><span class="lineno"> 101</span> <span class="keywordtype">int</span> b = <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#aaa457ffec24c9643f2768e7a65e96546">getBalance</a>(root);</div>
<div class="line"><span class="lineno"> 102</span> <span class="keywordflow">if</span> (b &gt; 1) {</div>
<div class="line"><span class="lineno"> 103</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#aaa457ffec24c9643f2768e7a65e96546">getBalance</a>(root-&gt;left) &lt; 0) {</div>
<div class="line"><span class="lineno"> 104</span> root-&gt;left = <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#a473eee1803e4e44a54d685e4b0eef5a6">leftRotate</a>(root-&gt;left); <span class="comment">// Left-Right Case</span></div>
<div class="line"><span class="lineno"> 105</span> }</div>
<div class="line"><span class="lineno"> 106</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#adfc1d482a564c041756719667b955b8c">rightRotate</a>(root); <span class="comment">// Left-Left Case</span></div>
<div class="line"><span class="lineno"> 107</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (b &lt; -1) {</div>
<div class="line"><span class="lineno"> 108</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#aaa457ffec24c9643f2768e7a65e96546">getBalance</a>(root-&gt;right) &gt; 0) {</div>
<div class="line"><span class="lineno"> 109</span> root-&gt;right = <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#adfc1d482a564c041756719667b955b8c">rightRotate</a>(root-&gt;right); <span class="comment">// Right-Left Case</span></div>
<div class="line"><span class="lineno"> 110</span> }</div>
<div class="line"><span class="lineno"> 111</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#a473eee1803e4e44a54d685e4b0eef5a6">leftRotate</a>(root); <span class="comment">// Right-Right Case</span></div>
<div class="line"><span class="lineno"> 112</span> }</div>
<div class="line"><span class="lineno"> 113</span> <span class="keywordflow">return</span> root;</div>
<div class="line"><span class="lineno"> 114</span>}</div>
<div class="ttc" id="aavltree_8cpp_html_a2473fe7416332495b2678ebe89652e4b"><div class="ttname"><a href="../../d8/dee/avltree_8cpp.html#a2473fe7416332495b2678ebe89652e4b">insert</a></div><div class="ttdeci">node * insert(node *root, int item)</div><div class="ttdoc">inserts a new element into AVL tree</div><div class="ttdef"><b>Definition:</b> avltree.cpp:92</div></div>
<div class="ttc" id="aavltree_8cpp_html_a473eee1803e4e44a54d685e4b0eef5a6"><div class="ttname"><a href="../../d8/dee/avltree_8cpp.html#a473eee1803e4e44a54d685e4b0eef5a6">leftRotate</a></div><div class="ttdeci">node * leftRotate(node *root)</div><div class="ttdef"><b>Definition:</b> avltree.cpp:67</div></div>
<div class="ttc" id="aavltree_8cpp_html_a48d897353aeb6a721dbc6b6c57e035e6"><div class="ttname"><a href="../../d8/dee/avltree_8cpp.html#a48d897353aeb6a721dbc6b6c57e035e6">createNode</a></div><div class="ttdeci">node * createNode(int data)</div><div class="ttdoc">creates and returns a new node</div><div class="ttdef"><b>Definition:</b> avltree.cpp:25</div></div>
<div class="ttc" id="aavltree_8cpp_html_aaa457ffec24c9643f2768e7a65e96546"><div class="ttname"><a href="../../d8/dee/avltree_8cpp.html#aaa457ffec24c9643f2768e7a65e96546">getBalance</a></div><div class="ttdeci">int getBalance(node *root)</div><div class="ttdef"><b>Definition:</b> avltree.cpp:49</div></div>
<div class="ttc" id="aavltree_8cpp_html_adfc1d482a564c041756719667b955b8c"><div class="ttname"><a href="../../d8/dee/avltree_8cpp.html#adfc1d482a564c041756719667b955b8c">rightRotate</a></div><div class="ttdeci">node * rightRotate(node *root)</div><div class="ttdef"><b>Definition:</b> avltree.cpp:55</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a473eee1803e4e44a54d685e4b0eef5a6">&#9670;&#160;</a></span>leftRotate()</h2>
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<td class="memname"><a class="el" href="../../d5/da1/structnode.html">node</a> * leftRotate </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d5/da1/structnode.html">node</a> *&#160;</td>
<td class="paramname"><em>root</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">root</td><td>of the tree to be rotated </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>node after left rotation </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 67</span> {</div>
<div class="line"><span class="lineno"> 68</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *t = root-&gt;right;</div>
<div class="line"><span class="lineno"> 69</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *u = t-&gt;left;</div>
<div class="line"><span class="lineno"> 70</span> t-&gt;left = root;</div>
<div class="line"><span class="lineno"> 71</span> root-&gt;right = u;</div>
<div class="line"><span class="lineno"> 72</span> <span class="keywordflow">return</span> t;</div>
<div class="line"><span class="lineno"> 73</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae197eb50188fb761346952b9b5f6be59">&#9670;&#160;</a></span>levelOrder()</h2>
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<td class="memname">void levelOrder </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d5/da1/structnode.html">node</a> *&#160;</td>
<td class="paramname"><em>root</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>prints given tree in the LevelOrder </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">root</td><td>of the tree </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><span class="lineno"> 163</span> {</div>
<div class="line"><span class="lineno"> 164</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/queue.html">std::queue&lt;node *&gt;</a> q;</div>
<div class="line"><span class="lineno"> 165</span> q.push(root);</div>
<div class="line"><span class="lineno"> 166</span> <span class="keywordflow">while</span> (!q.empty()) {</div>
<div class="line"><span class="lineno"> 167</span> root = q.front();</div>
<div class="line"><span class="lineno"> 168</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; root-&gt;<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/data.html">data</a> &lt;&lt; <span class="stringliteral">&quot; &quot;</span>;</div>
<div class="line"><span class="lineno"> 169</span> q.pop();</div>
<div class="line"><span class="lineno"> 170</span> <span class="keywordflow">if</span> (root-&gt;left) {</div>
<div class="line"><span class="lineno"> 171</span> q.push(root-&gt;left);</div>
<div class="line"><span class="lineno"> 172</span> }</div>
<div class="line"><span class="lineno"> 173</span> <span class="keywordflow">if</span> (root-&gt;right) {</div>
<div class="line"><span class="lineno"> 174</span> q.push(root-&gt;right);</div>
<div class="line"><span class="lineno"> 175</span> }</div>
<div class="line"><span class="lineno"> 176</span> }</div>
<div class="line"><span class="lineno"> 177</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="aqueue_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/queue.html">std::queue</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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<td class="memname">int main </td>
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<td class="paramtype">void&#160;</td>
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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"> 183</span> {</div>
<div class="line"><span class="lineno"> 184</span> <span class="comment">// Testing AVL Tree</span></div>
<div class="line"><span class="lineno"> 185</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *root = <span class="keyword">nullptr</span>;</div>
<div class="line"><span class="lineno"> 186</span> <span class="keywordtype">int</span> i = 0;</div>
<div class="line"><span class="lineno"> 187</span> <span class="keywordflow">for</span> (i = 1; i &lt;= 7; i++) root = <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#a2473fe7416332495b2678ebe89652e4b">insert</a>(root, i);</div>
<div class="line"><span class="lineno"> 188</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;LevelOrder: &quot;</span>;</div>
<div class="line"><span class="lineno"> 189</span> <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#ae197eb50188fb761346952b9b5f6be59">levelOrder</a>(root);</div>
<div class="line"><span class="lineno"> 190</span> root = <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#aa29a7fdc2db1784f5a6e25025ff7cbf5">deleteNode</a>(root, 1); <span class="comment">// Deleting key with value 1</span></div>
<div class="line"><span class="lineno"> 191</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;\nLevelOrder: &quot;</span>;</div>
<div class="line"><span class="lineno"> 192</span> <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#ae197eb50188fb761346952b9b5f6be59">levelOrder</a>(root);</div>
<div class="line"><span class="lineno"> 193</span> root = <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#aa29a7fdc2db1784f5a6e25025ff7cbf5">deleteNode</a>(root, 4); <span class="comment">// Deletin key with value 4</span></div>
<div class="line"><span class="lineno"> 194</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;\nLevelOrder: &quot;</span>;</div>
<div class="line"><span class="lineno"> 195</span> <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#ae197eb50188fb761346952b9b5f6be59">levelOrder</a>(root);</div>
<div class="line"><span class="lineno"> 196</span> <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#a82659e9e223e520cf91d7e55c4a3f88c">deleteAllNodes</a>(root);</div>
<div class="line"><span class="lineno"> 197</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 198</span>}</div>
<div class="ttc" id="aavltree_8cpp_html_ae197eb50188fb761346952b9b5f6be59"><div class="ttname"><a href="../../d8/dee/avltree_8cpp.html#ae197eb50188fb761346952b9b5f6be59">levelOrder</a></div><div class="ttdeci">void levelOrder(node *root)</div><div class="ttdoc">prints given tree in the LevelOrder</div><div class="ttdef"><b>Definition:</b> avltree.cpp:163</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a5fa160a678a34dd51c0aea1c0c00ed5e">&#9670;&#160;</a></span>minValue()</h2>
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<td class="memname"><a class="el" href="../../d5/da1/structnode.html">node</a> * minValue </td>
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<td class="paramtype"><a class="el" href="../../d5/da1/structnode.html">node</a> *&#160;</td>
<td class="paramname"><em>root</em></td><td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">root</td><td>of the tree </td></tr>
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</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>node with minimum value in the tree </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 79</span> {</div>
<div class="line"><span class="lineno"> 80</span> <span class="keywordflow">if</span> (root-&gt;left == <span class="keyword">nullptr</span>) {</div>
<div class="line"><span class="lineno"> 81</span> <span class="keywordflow">return</span> root;</div>
<div class="line"><span class="lineno"> 82</span> }</div>
<div class="line"><span class="lineno"> 83</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#a5fa160a678a34dd51c0aea1c0c00ed5e">minValue</a>(root-&gt;left);</div>
<div class="line"><span class="lineno"> 84</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#adfc1d482a564c041756719667b955b8c">&#9670;&#160;</a></span>rightRotate()</h2>
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<td class="memname"><a class="el" href="../../d5/da1/structnode.html">node</a> * rightRotate </td>
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<td class="paramtype"><a class="el" href="../../d5/da1/structnode.html">node</a> *&#160;</td>
<td class="paramname"><em>root</em></td><td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">root</td><td>of the tree to be rotated </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>node after right rotation </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 55</span> {</div>
<div class="line"><span class="lineno"> 56</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *t = root-&gt;left;</div>
<div class="line"><span class="lineno"> 57</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *u = t-&gt;right;</div>
<div class="line"><span class="lineno"> 58</span> t-&gt;right = root;</div>
<div class="line"><span class="lineno"> 59</span> root-&gt;left = u;</div>
<div class="line"><span class="lineno"> 60</span> <span class="keywordflow">return</span> t;</div>
<div class="line"><span class="lineno"> 61</span>}</div>
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