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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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<tr class="memitem:a7079253fc09a70388a3c0b975e9fdc08"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d72/class_r_btree.html#a7079253fc09a70388a3c0b975e9fdc08">insert</a> ()</td></tr>
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<tr class="memitem:a65b1a4fad18419a577bcb5d7bdc29512"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d72/class_r_btree.html#a65b1a4fad18419a577bcb5d7bdc29512">insertfix</a> (<a class="el" href="../../d5/da1/structnode.html">node</a> *)</td></tr>
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<tr class="memitem:a1359f8f04ad2046256f5a2b575ad3dd1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d72/class_r_btree.html#a1359f8f04ad2046256f5a2b575ad3dd1">rightrotate</a> (<a class="el" href="../../d5/da1/structnode.html">node</a> *)</td></tr>
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<tr class="memitem:a5b1979fe346534f63fe01358e3e0cdf8"><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/d72/class_r_btree.html#a5b1979fe346534f63fe01358e3e0cdf8">successor</a> (<a class="el" href="../../d5/da1/structnode.html">node</a> *)</td></tr>
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<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a0f3e97969a8737098cea23d6b66ba981">&#9670;&nbsp;</a></span>RBtree()</h2>
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<td class="memname">RBtree::RBtree </td>
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<div class="fragment"><div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> {</div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> q = NULL;</div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> root = NULL;</div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> }</div>
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<h2 class="groupheader">Member Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a5a9e8bcf8651413afec219b4b0d51704">&#9670;&nbsp;</a></span>del()</h2>
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<td class="memname">void RBtree::del </td>
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<div class="fragment"><div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span>{</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="keywordflow">if</span> (root == NULL)</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> {</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nEmpty Tree.&quot;</span>;</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> }</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="keywordtype">int</span> x;</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nEnter the key of the node to be deleted: &quot;</span>;</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">cin</a> &gt;&gt; x;</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *p;</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> p = root;</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *y = NULL;</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *q = NULL;</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <span class="keywordtype">int</span> found = 0;</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <span class="keywordflow">while</span> (p != NULL &amp;&amp; found == 0)</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> {</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <span class="keywordflow">if</span> (p-&gt;key == x)</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> found = 1;</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> <span class="keywordflow">if</span> (found == 0)</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> {</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <span class="keywordflow">if</span> (p-&gt;key &lt; x)</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> p = p-&gt;right;</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> p = p-&gt;left;</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> }</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> }</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> <span class="keywordflow">if</span> (found == 0)</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> {</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nElement Not Found.&quot;</span>;</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> }</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> {</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nDeleted Element: &quot;</span> &lt;&lt; p-&gt;key;</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nColour: &quot;</span>;</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> <span class="keywordflow">if</span> (p-&gt;color == <span class="charliteral">&#39;b&#39;</span>)</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;Black\n&quot;</span>;</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;Red\n&quot;</span>;</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> </div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> <span class="keywordflow">if</span> (p-&gt;parent != NULL)</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nParent: &quot;</span> &lt;&lt; p-&gt;parent-&gt;key;</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nThere is no parent of the node. &quot;</span>;</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> <span class="keywordflow">if</span> (p-&gt;right != NULL)</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nRight Child: &quot;</span> &lt;&lt; p-&gt;right-&gt;key;</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nThere is no right child of the node. &quot;</span>;</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="keywordflow">if</span> (p-&gt;left != NULL)</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nLeft Child: &quot;</span> &lt;&lt; p-&gt;left-&gt;key;</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nThere is no left child of the node. &quot;</span>;</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nNode Deleted.&quot;</span>;</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> <span class="keywordflow">if</span> (p-&gt;left == NULL || p-&gt;right == NULL)</div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> y = p;</div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> y = successor(p);</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="keywordflow">if</span> (y-&gt;left != NULL)</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> q = y-&gt;left;</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> {</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> <span class="keywordflow">if</span> (y-&gt;right != NULL)</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> q = y-&gt;right;</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> q = NULL;</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> }</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <span class="keywordflow">if</span> (q != NULL)</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> q-&gt;parent = y-&gt;parent;</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="keywordflow">if</span> (y-&gt;parent == NULL)</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> root = q;</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> {</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> <span class="keywordflow">if</span> (y == y-&gt;parent-&gt;left)</div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> y-&gt;parent-&gt;left = q;</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> y-&gt;parent-&gt;right = q;</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> }</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> <span class="keywordflow">if</span> (y != p)</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> {</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> p-&gt;color = y-&gt;color;</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> p-&gt;key = y-&gt;key;</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> }</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> <span class="keywordflow">if</span> (y-&gt;color == <span class="charliteral">&#39;b&#39;</span>)</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> delfix(q);</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> }</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span>}</div>
<div class="ttc" id="abasic_istream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a></div></div>
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<div class="ttc" id="astructnode_html"><div class="ttname"><a href="../../d5/da1/structnode.html">node</a></div><div class="ttdef"><b>Definition:</b> avltree.cpp:13</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a01ade919cc34cb2fa24bc07bc631f440">&#9670;&nbsp;</a></span>delfix()</h2>
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<td class="memname">void RBtree::delfix </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d5/da1/structnode.html">node</a> *&#160;</td>
<td class="paramname"><em>p</em></td><td>)</td>
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<div class="fragment"><div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span>{</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *s;</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> <span class="keywordflow">while</span> (p != root &amp;&amp; p-&gt;color == <span class="charliteral">&#39;b&#39;</span>)</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> {</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> <span class="keywordflow">if</span> (p-&gt;parent-&gt;left == p)</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> {</div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> s = p-&gt;parent-&gt;right;</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> <span class="keywordflow">if</span> (s-&gt;color == <span class="charliteral">&#39;r&#39;</span>)</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> {</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> s-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> p-&gt;parent-&gt;color = <span class="charliteral">&#39;r&#39;</span>;</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> leftrotate(p-&gt;parent);</div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> s = p-&gt;parent-&gt;right;</div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> }</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> <span class="keywordflow">if</span> (s-&gt;right-&gt;color == <span class="charliteral">&#39;b&#39;</span>&amp;&amp;s-&gt;left-&gt;color == <span class="charliteral">&#39;b&#39;</span>)</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> {</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> s-&gt;color = <span class="charliteral">&#39;r&#39;</span>;</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> p = p-&gt;parent;</div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> }</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> {</div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> <span class="keywordflow">if</span> (s-&gt;right-&gt;color == <span class="charliteral">&#39;b&#39;</span>)</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> {</div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> s-&gt;left-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> s-&gt;color = <span class="charliteral">&#39;r&#39;</span>;</div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> rightrotate(s);</div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> s = p-&gt;parent-&gt;right;</div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> }</div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> s-&gt;color = p-&gt;parent-&gt;color;</div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> p-&gt;parent-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> s-&gt;right-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> leftrotate(p-&gt;parent);</div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> p = root;</div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> }</div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> }</div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> {</div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> s = p-&gt;parent-&gt;left;</div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> <span class="keywordflow">if</span> (s-&gt;color == <span class="charliteral">&#39;r&#39;</span>)</div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> {</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> s-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> p-&gt;parent-&gt;color = <span class="charliteral">&#39;r&#39;</span>;</div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> rightrotate(p-&gt;parent);</div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> s = p-&gt;parent-&gt;left;</div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> }</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> <span class="keywordflow">if</span> (s-&gt;left-&gt;color == <span class="charliteral">&#39;b&#39;</span>&amp;&amp;s-&gt;right-&gt;color == <span class="charliteral">&#39;b&#39;</span>)</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> {</div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> s-&gt;color = <span class="charliteral">&#39;r&#39;</span>;</div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> p = p-&gt;parent;</div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> }</div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> {</div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> <span class="keywordflow">if</span> (s-&gt;left-&gt;color == <span class="charliteral">&#39;b&#39;</span>)</div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> {</div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> s-&gt;right-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> s-&gt;color = <span class="charliteral">&#39;r&#39;</span>;</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> leftrotate(s);</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> s = p-&gt;parent-&gt;left;</div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> }</div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> s-&gt;color = p-&gt;parent-&gt;color;</div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> p-&gt;parent-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> s-&gt;left-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> rightrotate(p-&gt;parent);</div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> p = root;</div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> }</div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> }</div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> p-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> root-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> }</div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a94a8072ec181ba69cbe3bfa2976beee8">&#9670;&nbsp;</a></span>disp()</h2>
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<td class="memname">void RBtree::disp </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td></td>
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</div><div class="memdoc">
<div class="fragment"><div class="line"><a id="l00373" name="l00373"></a><span class="lineno"> 373</span>{</div>
<div class="line"><a id="l00374" name="l00374"></a><span class="lineno"> 374</span> display(root);</div>
<div class="line"><a id="l00375" name="l00375"></a><span class="lineno"> 375</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a860d40eefb48ac948be2dad4d3990535">&#9670;&nbsp;</a></span>display()</h2>
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<td class="memname">void RBtree::display </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d5/da1/structnode.html">node</a> *&#160;</td>
<td class="paramname"><em>p</em></td><td>)</td>
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<div class="fragment"><div class="line"><a id="l00377" name="l00377"></a><span class="lineno"> 377</span>{</div>
<div class="line"><a id="l00378" name="l00378"></a><span class="lineno"> 378</span> <span class="keywordflow">if</span> (root == NULL)</div>
<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"> 379</span> {</div>
<div class="line"><a id="l00380" name="l00380"></a><span class="lineno"> 380</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nEmpty Tree.&quot;</span>;</div>
<div class="line"><a id="l00381" name="l00381"></a><span class="lineno"> 381</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00382" name="l00382"></a><span class="lineno"> 382</span> }</div>
<div class="line"><a id="l00383" name="l00383"></a><span class="lineno"> 383</span> <span class="keywordflow">if</span> (p != NULL)</div>
<div class="line"><a id="l00384" name="l00384"></a><span class="lineno"> 384</span> {</div>
<div class="line"><a id="l00385" name="l00385"></a><span class="lineno"> 385</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n\t NODE: &quot;</span>;</div>
<div class="line"><a id="l00386" name="l00386"></a><span class="lineno"> 386</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n Key: &quot;</span> &lt;&lt; p-&gt;key;</div>
<div class="line"><a id="l00387" name="l00387"></a><span class="lineno"> 387</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n Colour: &quot;</span>;</div>
<div class="line"><a id="l00388" name="l00388"></a><span class="lineno"> 388</span> <span class="keywordflow">if</span> (p-&gt;color == <span class="charliteral">&#39;b&#39;</span>)</div>
<div class="line"><a id="l00389" name="l00389"></a><span class="lineno"> 389</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;Black&quot;</span>;</div>
<div class="line"><a id="l00390" name="l00390"></a><span class="lineno"> 390</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00391" name="l00391"></a><span class="lineno"> 391</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;Red&quot;</span>;</div>
<div class="line"><a id="l00392" name="l00392"></a><span class="lineno"> 392</span> <span class="keywordflow">if</span> (p-&gt;parent != NULL)</div>
<div class="line"><a id="l00393" name="l00393"></a><span class="lineno"> 393</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n Parent: &quot;</span> &lt;&lt; p-&gt;parent-&gt;key;</div>
<div class="line"><a id="l00394" name="l00394"></a><span class="lineno"> 394</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00395" name="l00395"></a><span class="lineno"> 395</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n There is no parent of the node. &quot;</span>;</div>
<div class="line"><a id="l00396" name="l00396"></a><span class="lineno"> 396</span> <span class="keywordflow">if</span> (p-&gt;right != NULL)</div>
<div class="line"><a id="l00397" name="l00397"></a><span class="lineno"> 397</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n Right Child: &quot;</span> &lt;&lt; p-&gt;right-&gt;key;</div>
<div class="line"><a id="l00398" name="l00398"></a><span class="lineno"> 398</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00399" name="l00399"></a><span class="lineno"> 399</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n There is no right child of the node. &quot;</span>;</div>
<div class="line"><a id="l00400" name="l00400"></a><span class="lineno"> 400</span> <span class="keywordflow">if</span> (p-&gt;left != NULL)</div>
<div class="line"><a id="l00401" name="l00401"></a><span class="lineno"> 401</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n Left Child: &quot;</span> &lt;&lt; p-&gt;left-&gt;key;</div>
<div class="line"><a id="l00402" name="l00402"></a><span class="lineno"> 402</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00403" name="l00403"></a><span class="lineno"> 403</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n There is no left child of the node. &quot;</span>;</div>
<div class="line"><a id="l00404" name="l00404"></a><span class="lineno"> 404</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <a class="code hl_define" href="../../d7/d35/matrix__exponentiation_8cpp.html#a600eaf353befc174637855795f12d258">endl</a>;</div>
<div class="line"><a id="l00405" name="l00405"></a><span class="lineno"> 405</span> <span class="keywordflow">if</span> (p-&gt;left)</div>
<div class="line"><a id="l00406" name="l00406"></a><span class="lineno"> 406</span> {</div>
<div class="line"><a id="l00407" name="l00407"></a><span class="lineno"> 407</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n\nLeft:\n&quot;</span>;</div>
<div class="line"><a id="l00408" name="l00408"></a><span class="lineno"> 408</span> display(p-&gt;left);</div>
<div class="line"><a id="l00409" name="l00409"></a><span class="lineno"> 409</span> }</div>
<div class="line"><a id="l00410" name="l00410"></a><span class="lineno"> 410</span> <span class="comment">/*else</span></div>
<div class="line"><a id="l00411" name="l00411"></a><span class="lineno"> 411</span><span class="comment"> cout&lt;&lt;&quot;\nNo Left Child.\n&quot;;*/</span></div>
<div class="line"><a id="l00412" name="l00412"></a><span class="lineno"> 412</span> <span class="keywordflow">if</span> (p-&gt;right)</div>
<div class="line"><a id="l00413" name="l00413"></a><span class="lineno"> 413</span> {</div>
<div class="line"><a id="l00414" name="l00414"></a><span class="lineno"> 414</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n\nRight:\n&quot;</span>;</div>
<div class="line"><a id="l00415" name="l00415"></a><span class="lineno"> 415</span> display(p-&gt;right);</div>
<div class="line"><a id="l00416" name="l00416"></a><span class="lineno"> 416</span> }</div>
<div class="line"><a id="l00417" name="l00417"></a><span class="lineno"> 417</span> <span class="comment">/*else</span></div>
<div class="line"><a id="l00418" name="l00418"></a><span class="lineno"> 418</span><span class="comment"> cout&lt;&lt;&quot;\nNo Right Child.\n&quot;*/</span></div>
<div class="line"><a id="l00419" name="l00419"></a><span class="lineno"> 419</span> }</div>
<div class="line"><a id="l00420" name="l00420"></a><span class="lineno"> 420</span>}</div>
<div class="ttc" id="amatrix__exponentiation_8cpp_html_a600eaf353befc174637855795f12d258"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#a600eaf353befc174637855795f12d258">endl</a></div><div class="ttdeci">#define endl</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:36</div></div>
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<a id="a7079253fc09a70388a3c0b975e9fdc08" name="a7079253fc09a70388a3c0b975e9fdc08"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7079253fc09a70388a3c0b975e9fdc08">&#9670;&nbsp;</a></span>insert()</h2>
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<td class="memname">void RBtree::insert </td>
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<td class="paramname"></td><td>)</td>
<td></td>
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</table>
</div><div class="memdoc">
<div class="fragment"><div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span>{</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="keywordtype">int</span> z, i = 0;</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nEnter key of the node to be inserted: &quot;</span>;</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">cin</a> &gt;&gt; z;</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *p, *q;</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *t = <span class="keyword">new</span> <a class="code hl_typedef" href="../../d1/df3/hash__search_8cpp.html#a8ca8dcb494104d273679e219e53d0555">node</a>;</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> t-&gt;key = z;</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> t-&gt;left = NULL;</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> t-&gt;right = NULL;</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> t-&gt;color = <span class="charliteral">&#39;r&#39;</span>;</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> p = root;</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> q = NULL;</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keywordflow">if</span> (root == NULL)</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> {</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> root = t;</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> t-&gt;parent = NULL;</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> }</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> {</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keywordflow">while</span> (p != NULL)</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> {</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> q = p;</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keywordflow">if</span> (p-&gt;key &lt; t-&gt;key)</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> p = p-&gt;right;</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> p = p-&gt;left;</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> }</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> t-&gt;parent = q;</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="keywordflow">if</span> (q-&gt;key &lt; t-&gt;key)</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> q-&gt;right = t;</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> q-&gt;left = t;</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> }</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> insertfix(t);</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span>}</div>
<div class="ttc" id="ahash__search_8cpp_html_a8ca8dcb494104d273679e219e53d0555"><div class="ttname"><a href="../../d1/df3/hash__search_8cpp.html#a8ca8dcb494104d273679e219e53d0555">node</a></div><div class="ttdeci">struct list node</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a65b1a4fad18419a577bcb5d7bdc29512">&#9670;&nbsp;</a></span>insertfix()</h2>
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<td class="memname">void RBtree::insertfix </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d5/da1/structnode.html">node</a> *&#160;</td>
<td class="paramname"><em>t</em></td><td>)</td>
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</div><div class="memdoc">
<div class="fragment"><div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span>{</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *u;</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="keywordflow">if</span> (root == t)</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> {</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> t-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> }</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keywordflow">while</span> (t-&gt;parent != NULL &amp;&amp; t-&gt;parent-&gt;color == <span class="charliteral">&#39;r&#39;</span>)</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> {</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *g = t-&gt;parent-&gt;parent;</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="keywordflow">if</span> (g-&gt;left == t-&gt;parent)</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> {</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keywordflow">if</span> (g-&gt;right != NULL)</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> {</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> u = g-&gt;right;</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="keywordflow">if</span> (u-&gt;color == <span class="charliteral">&#39;r&#39;</span>)</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> {</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> t-&gt;parent-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> u-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> g-&gt;color = <span class="charliteral">&#39;r&#39;</span>;</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> t = g;</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> }</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> }</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> {</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="keywordflow">if</span> (t-&gt;parent-&gt;right == t)</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> {</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> t = t-&gt;parent;</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> leftrotate(t);</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> }</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> t-&gt;parent-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> g-&gt;color = <span class="charliteral">&#39;r&#39;</span>;</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> rightrotate(g);</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> }</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> }</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> {</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keywordflow">if</span> (g-&gt;left != NULL)</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> {</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> u = g-&gt;left;</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keywordflow">if</span> (u-&gt;color == <span class="charliteral">&#39;r&#39;</span>)</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> {</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> t-&gt;parent-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> u-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> g-&gt;color = <span class="charliteral">&#39;r&#39;</span>;</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> t = g;</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> }</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> }</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> {</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keywordflow">if</span> (t-&gt;parent-&gt;left == t)</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> {</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> t = t-&gt;parent;</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> rightrotate(t);</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> }</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> t-&gt;parent-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> g-&gt;color = <span class="charliteral">&#39;r&#39;</span>;</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> leftrotate(g);</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> }</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> }</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> root-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> }</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a85750df7084f843206e83e8a68f5e761">&#9670;&nbsp;</a></span>leftrotate()</h2>
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<td class="memname">void RBtree::leftrotate </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d5/da1/structnode.html">node</a> *&#160;</td>
<td class="paramname"><em>p</em></td><td>)</td>
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<div class="fragment"><div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span>{</div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> <span class="keywordflow">if</span> (p-&gt;right == NULL)</div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> {</div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *y = p-&gt;right;</div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> <span class="keywordflow">if</span> (y-&gt;left != NULL)</div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> {</div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> p-&gt;right = y-&gt;left;</div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> y-&gt;left-&gt;parent = p;</div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> }</div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> p-&gt;right = NULL;</div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> <span class="keywordflow">if</span> (p-&gt;parent != NULL)</div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> y-&gt;parent = p-&gt;parent;</div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> <span class="keywordflow">if</span> (p-&gt;parent == NULL)</div>
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> root = y;</div>
<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> {</div>
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> <span class="keywordflow">if</span> (p == p-&gt;parent-&gt;left)</div>
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> p-&gt;parent-&gt;left = y;</div>
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> p-&gt;parent-&gt;right = y;</div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> }</div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> y-&gt;left = p;</div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> p-&gt;parent = y;</div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> }</div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a1359f8f04ad2046256f5a2b575ad3dd1">&#9670;&nbsp;</a></span>rightrotate()</h2>
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<td class="memname">void RBtree::rightrotate </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d5/da1/structnode.html">node</a> *&#160;</td>
<td class="paramname"><em>p</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<div class="fragment"><div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span>{</div>
<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span> <span class="keywordflow">if</span> (p-&gt;left == NULL)</div>
<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"> 327</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> {</div>
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *y = p-&gt;left;</div>
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> <span class="keywordflow">if</span> (y-&gt;right != NULL)</div>
<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span> {</div>
<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span> p-&gt;left = y-&gt;right;</div>
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span> y-&gt;right-&gt;parent = p;</div>
<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"> 335</span> }</div>
<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span> p-&gt;left = NULL;</div>
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span> <span class="keywordflow">if</span> (p-&gt;parent != NULL)</div>
<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"> 339</span> y-&gt;parent = p-&gt;parent;</div>
<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"> 340</span> <span class="keywordflow">if</span> (p-&gt;parent == NULL)</div>
<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> root = y;</div>
<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span> {</div>
<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span> <span class="keywordflow">if</span> (p == p-&gt;parent-&gt;left)</div>
<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</span> p-&gt;parent-&gt;left = y;</div>
<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00347" name="l00347"></a><span class="lineno"> 347</span> p-&gt;parent-&gt;right = y;</div>
<div class="line"><a id="l00348" name="l00348"></a><span class="lineno"> 348</span> }</div>
<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"> 349</span> y-&gt;right = p;</div>
<div class="line"><a id="l00350" name="l00350"></a><span class="lineno"> 350</span> p-&gt;parent = y;</div>
<div class="line"><a id="l00351" name="l00351"></a><span class="lineno"> 351</span> }</div>
<div class="line"><a id="l00352" name="l00352"></a><span class="lineno"> 352</span>}</div>
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<a id="acf7a8e0285ac25ad885ac92726132e80" name="acf7a8e0285ac25ad885ac92726132e80"></a>
<h2 class="memtitle"><span class="permalink"><a href="#acf7a8e0285ac25ad885ac92726132e80">&#9670;&nbsp;</a></span>search()</h2>
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<td class="memname">void RBtree::search </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<div class="fragment"><div class="line"><a id="l00422" name="l00422"></a><span class="lineno"> 422</span>{</div>
<div class="line"><a id="l00423" name="l00423"></a><span class="lineno"> 423</span> <span class="keywordflow">if</span> (root == NULL)</div>
<div class="line"><a id="l00424" name="l00424"></a><span class="lineno"> 424</span> {</div>
<div class="line"><a id="l00425" name="l00425"></a><span class="lineno"> 425</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nEmpty Tree\n&quot;</span>;</div>
<div class="line"><a id="l00426" name="l00426"></a><span class="lineno"> 426</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00427" name="l00427"></a><span class="lineno"> 427</span> }</div>
<div class="line"><a id="l00428" name="l00428"></a><span class="lineno"> 428</span> <span class="keywordtype">int</span> x;</div>
<div class="line"><a id="l00429" name="l00429"></a><span class="lineno"> 429</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n Enter key of the node to be searched: &quot;</span>;</div>
<div class="line"><a id="l00430" name="l00430"></a><span class="lineno"> 430</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">cin</a> &gt;&gt; x;</div>
<div class="line"><a id="l00431" name="l00431"></a><span class="lineno"> 431</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *p = root;</div>
<div class="line"><a id="l00432" name="l00432"></a><span class="lineno"> 432</span> <span class="keywordtype">int</span> found = 0;</div>
<div class="line"><a id="l00433" name="l00433"></a><span class="lineno"> 433</span> <span class="keywordflow">while</span> (p != NULL &amp;&amp; found == 0)</div>
<div class="line"><a id="l00434" name="l00434"></a><span class="lineno"> 434</span> {</div>
<div class="line"><a id="l00435" name="l00435"></a><span class="lineno"> 435</span> <span class="keywordflow">if</span> (p-&gt;key == x)</div>
<div class="line"><a id="l00436" name="l00436"></a><span class="lineno"> 436</span> found = 1;</div>
<div class="line"><a id="l00437" name="l00437"></a><span class="lineno"> 437</span> <span class="keywordflow">if</span> (found == 0)</div>
<div class="line"><a id="l00438" name="l00438"></a><span class="lineno"> 438</span> {</div>
<div class="line"><a id="l00439" name="l00439"></a><span class="lineno"> 439</span> <span class="keywordflow">if</span> (p-&gt;key &lt; x)</div>
<div class="line"><a id="l00440" name="l00440"></a><span class="lineno"> 440</span> p = p-&gt;right;</div>
<div class="line"><a id="l00441" name="l00441"></a><span class="lineno"> 441</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00442" name="l00442"></a><span class="lineno"> 442</span> p = p-&gt;left;</div>
<div class="line"><a id="l00443" name="l00443"></a><span class="lineno"> 443</span> }</div>
<div class="line"><a id="l00444" name="l00444"></a><span class="lineno"> 444</span> }</div>
<div class="line"><a id="l00445" name="l00445"></a><span class="lineno"> 445</span> <span class="keywordflow">if</span> (found == 0)</div>
<div class="line"><a id="l00446" name="l00446"></a><span class="lineno"> 446</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nElement Not Found.&quot;</span>;</div>
<div class="line"><a id="l00447" name="l00447"></a><span class="lineno"> 447</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00448" name="l00448"></a><span class="lineno"> 448</span> {</div>
<div class="line"><a id="l00449" name="l00449"></a><span class="lineno"> 449</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n\t FOUND NODE: &quot;</span>;</div>
<div class="line"><a id="l00450" name="l00450"></a><span class="lineno"> 450</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n Key: &quot;</span> &lt;&lt; p-&gt;key;</div>
<div class="line"><a id="l00451" name="l00451"></a><span class="lineno"> 451</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n Colour: &quot;</span>;</div>
<div class="line"><a id="l00452" name="l00452"></a><span class="lineno"> 452</span> <span class="keywordflow">if</span> (p-&gt;color == <span class="charliteral">&#39;b&#39;</span>)</div>
<div class="line"><a id="l00453" name="l00453"></a><span class="lineno"> 453</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;Black&quot;</span>;</div>
<div class="line"><a id="l00454" name="l00454"></a><span class="lineno"> 454</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00455" name="l00455"></a><span class="lineno"> 455</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;Red&quot;</span>;</div>
<div class="line"><a id="l00456" name="l00456"></a><span class="lineno"> 456</span> <span class="keywordflow">if</span> (p-&gt;parent != NULL)</div>
<div class="line"><a id="l00457" name="l00457"></a><span class="lineno"> 457</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n Parent: &quot;</span> &lt;&lt; p-&gt;parent-&gt;key;</div>
<div class="line"><a id="l00458" name="l00458"></a><span class="lineno"> 458</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00459" name="l00459"></a><span class="lineno"> 459</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n There is no parent of the node. &quot;</span>;</div>
<div class="line"><a id="l00460" name="l00460"></a><span class="lineno"> 460</span> <span class="keywordflow">if</span> (p-&gt;right != NULL)</div>
<div class="line"><a id="l00461" name="l00461"></a><span class="lineno"> 461</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n Right Child: &quot;</span> &lt;&lt; p-&gt;right-&gt;key;</div>
<div class="line"><a id="l00462" name="l00462"></a><span class="lineno"> 462</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00463" name="l00463"></a><span class="lineno"> 463</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n There is no right child of the node. &quot;</span>;</div>
<div class="line"><a id="l00464" name="l00464"></a><span class="lineno"> 464</span> <span class="keywordflow">if</span> (p-&gt;left != NULL)</div>
<div class="line"><a id="l00465" name="l00465"></a><span class="lineno"> 465</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n Left Child: &quot;</span> &lt;&lt; p-&gt;left-&gt;key;</div>
<div class="line"><a id="l00466" name="l00466"></a><span class="lineno"> 466</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00467" name="l00467"></a><span class="lineno"> 467</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n There is no left child of the node. &quot;</span>;</div>
<div class="line"><a id="l00468" name="l00468"></a><span class="lineno"> 468</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <a class="code hl_define" href="../../d7/d35/matrix__exponentiation_8cpp.html#a600eaf353befc174637855795f12d258">endl</a>;</div>
<div class="line"><a id="l00469" name="l00469"></a><span class="lineno"> 469</span> </div>
<div class="line"><a id="l00470" name="l00470"></a><span class="lineno"> 470</span> }</div>
<div class="line"><a id="l00471" name="l00471"></a><span class="lineno"> 471</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a5b1979fe346534f63fe01358e3e0cdf8">&#9670;&nbsp;</a></span>successor()</h2>
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<tr>
<td class="memname"><a class="el" href="../../d5/da1/structnode.html">node</a> * RBtree::successor </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d5/da1/structnode.html">node</a> *&#160;</td>
<td class="paramname"><em>p</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<div class="fragment"><div class="line"><a id="l00355" name="l00355"></a><span class="lineno"> 355</span>{</div>
<div class="line"><a id="l00356" name="l00356"></a><span class="lineno"> 356</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *y = NULL;</div>
<div class="line"><a id="l00357" name="l00357"></a><span class="lineno"> 357</span> <span class="keywordflow">if</span> (p-&gt;left != NULL)</div>
<div class="line"><a id="l00358" name="l00358"></a><span class="lineno"> 358</span> {</div>
<div class="line"><a id="l00359" name="l00359"></a><span class="lineno"> 359</span> y = p-&gt;left;</div>
<div class="line"><a id="l00360" name="l00360"></a><span class="lineno"> 360</span> <span class="keywordflow">while</span> (y-&gt;right != NULL)</div>
<div class="line"><a id="l00361" name="l00361"></a><span class="lineno"> 361</span> y = y-&gt;right;</div>
<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"> 362</span> }</div>
<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00364" name="l00364"></a><span class="lineno"> 364</span> {</div>
<div class="line"><a id="l00365" name="l00365"></a><span class="lineno"> 365</span> y = p-&gt;right;</div>
<div class="line"><a id="l00366" name="l00366"></a><span class="lineno"> 366</span> <span class="keywordflow">while</span> (y-&gt;left != NULL)</div>
<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"> 367</span> y = y-&gt;left;</div>
<div class="line"><a id="l00368" name="l00368"></a><span class="lineno"> 368</span> }</div>
<div class="line"><a id="l00369" name="l00369"></a><span class="lineno"> 369</span> <span class="keywordflow">return</span> y;</div>
<div class="line"><a id="l00370" name="l00370"></a><span class="lineno"> 370</span>}</div>
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