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<p>A demo 2-3-4 tree implementation.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;array&gt;</code><br />
<code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;fstream&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;memory&gt;</code><br />
<code>#include &lt;queue&gt;</code><br />
<code>#include &lt;string&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for tree_234.cpp:</div>
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Classes</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d40/classdata__structures_1_1tree__234_1_1_node.html">data_structures::tree_234::Node</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">2-3-4 tree node class <a href="../../dd/d40/classdata__structures_1_1tree__234_1_1_node.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d95/classdata__structures_1_1tree__234_1_1_tree234.html">data_structures::tree_234::Tree234</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">2-3-4 tree class <a href="../../d3/d95/classdata__structures_1_1tree__234_1_1_tree234.html#details">More...</a><br /></td></tr>
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Namespaces</h2></td></tr>
<tr class="memitem:d5/d3c/namespacedata__structures"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d3c/namespacedata__structures.html">data_structures</a></td></tr>
<tr class="memdesc:d5/d3c/namespacedata__structures"><td class="mdescLeft">&#160;</td><td class="mdescRight">Data Structures algorithms. <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:d6/dab/namespacetree__234"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/dab/namespacetree__234.html">tree_234</a></td></tr>
<tr class="memdesc:d6/dab/namespacetree__234"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for <a href="https://en.wikipedia.org/wiki/2%E2%80%933%E2%80%934_tree" target="_blank">2–3–4 tree</a> <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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Functions</h2></td></tr>
<tr class="memitem:ae7880ce913f3058a35ff106d5be9e243"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/dbc/tree__234_8cpp.html#ae7880ce913f3058a35ff106d5be9e243">test1</a> ()</td></tr>
<tr class="memdesc:ae7880ce913f3058a35ff106d5be9e243"><td class="mdescLeft">&#160;</td><td class="mdescRight">simple test to insert a given array and delete some item, and print the tree <a href="../../db/dbc/tree__234_8cpp.html#ae7880ce913f3058a35ff106d5be9e243">More...</a><br /></td></tr>
<tr class="separator:ae7880ce913f3058a35ff106d5be9e243"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af1ac73779b0fcfbbdce3976c0ca57342"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/dbc/tree__234_8cpp.html#af1ac73779b0fcfbbdce3976c0ca57342">test2</a> (int64_t n)</td></tr>
<tr class="memdesc:af1ac73779b0fcfbbdce3976c0ca57342"><td class="mdescLeft">&#160;</td><td class="mdescRight">simple test to insert continuous number of range [0, n), and print the tree <a href="../../db/dbc/tree__234_8cpp.html#af1ac73779b0fcfbbdce3976c0ca57342">More...</a><br /></td></tr>
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<tr class="memitem:a0ddf1224851353fc92bfbff6f499fa97"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/dbc/tree__234_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">main</a> (int argc, char *argv[])</td></tr>
<tr class="memdesc:a0ddf1224851353fc92bfbff6f499fa97"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <a href="../../db/dbc/tree__234_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">More...</a><br /></td></tr>
<tr class="separator:a0ddf1224851353fc92bfbff6f499fa97"><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 demo 2-3-4 tree implementation. </p>
<p >2–3–4 tree is a self-balancing data structure that is an isometry of red–black trees. Though we seldom use them in practice, we study them to understand the theory behind Red-Black tree. Please read following links for more infomation. <a href="https://en.wikipedia.org/wiki/2%E2%80%933%E2%80%934_tree" target="_blank">2–3–4 tree</a> <a href="https://www.educative.io/page/5689413791121408/80001" target="_blank">2-3-4 Trees: A Visual Introduction</a> We Only implement some basic and complicated operations in this demo. Other operations should be easy to be added. </p><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/fedom" target="_blank">liuhuan</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a0ddf1224851353fc92bfbff6f499fa97" name="a0ddf1224851353fc92bfbff6f499fa97"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0ddf1224851353fc92bfbff6f499fa97">&#9670;&nbsp;</a></span>main()</h2>
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<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>argc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">char *&#160;</td>
<td class="paramname"><em>argv</em>[]&#160;</td>
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<p>Main function. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">argc</td><td>commandline argument count (ignored) </td></tr>
<tr><td class="paramname">argv</td><td>commandline array of arguments (ignored) </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><a id="l01298" name="l01298"></a><span class="lineno"> 1298</span> {</div>
<div class="line"><a id="l01299" name="l01299"></a><span class="lineno"> 1299</span> <span class="keywordflow">if</span> (argc &lt; 2) {</div>
<div class="line"><a id="l01300" name="l01300"></a><span class="lineno"> 1300</span> <a class="code hl_function" href="../../db/dbc/tree__234_8cpp.html#ae7880ce913f3058a35ff106d5be9e243">test1</a>(); <span class="comment">// execute 1st test</span></div>
<div class="line"><a id="l01301" name="l01301"></a><span class="lineno"> 1301</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l01302" name="l01302"></a><span class="lineno"> 1302</span> <a class="code hl_function" href="../../db/dbc/tree__234_8cpp.html#af1ac73779b0fcfbbdce3976c0ca57342">test2</a>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/stol.html">std::stoi</a>(argv[1])); <span class="comment">// execute 2nd test</span></div>
<div class="line"><a id="l01303" name="l01303"></a><span class="lineno"> 1303</span> }</div>
<div class="line"><a id="l01304" name="l01304"></a><span class="lineno"> 1304</span> </div>
<div class="line"><a id="l01305" name="l01305"></a><span class="lineno"> 1305</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l01306" name="l01306"></a><span class="lineno"> 1306</span>}</div>
<div class="ttc" id="astol_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/stol.html">std::stoi</a></div><div class="ttdeci">T stoi(T... args)</div></div>
<div class="ttc" id="atree__234_8cpp_html_ae7880ce913f3058a35ff106d5be9e243"><div class="ttname"><a href="../../db/dbc/tree__234_8cpp.html#ae7880ce913f3058a35ff106d5be9e243">test1</a></div><div class="ttdeci">static void test1()</div><div class="ttdoc">simple test to insert a given array and delete some item, and print the tree</div><div class="ttdef"><b>Definition:</b> tree_234.cpp:1263</div></div>
<div class="ttc" id="atree__234_8cpp_html_af1ac73779b0fcfbbdce3976c0ca57342"><div class="ttname"><a href="../../db/dbc/tree__234_8cpp.html#af1ac73779b0fcfbbdce3976c0ca57342">test2</a></div><div class="ttdeci">static void test2(int64_t n)</div><div class="ttdoc">simple test to insert continuous number of range [0, n), and print the tree</div><div class="ttdef"><b>Definition:</b> tree_234.cpp:1281</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae7880ce913f3058a35ff106d5be9e243">&#9670;&nbsp;</a></span>test1()</h2>
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<td class="memname">static void test1 </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
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</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>simple test to insert a given array and delete some item, and print the tree </p>
<div class="fragment"><div class="line"><a id="l01263" name="l01263"></a><span class="lineno"> 1263</span> {</div>
<div class="line"><a id="l01264" name="l01264"></a><span class="lineno"> 1264</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array&lt;int16_t, 13&gt;</a> arr = {3, 1, 5, 4, 2, 9, 10, 8, 7, 6, 16, 13, 14};</div>
<div class="line"><a id="l01265" name="l01265"></a><span class="lineno"> 1265</span> <a class="code hl_class" href="../../d3/d95/classdata__structures_1_1tree__234_1_1_tree234.html">data_structures::tree_234::Tree234</a> tree;</div>
<div class="line"><a id="l01266" name="l01266"></a><span class="lineno"> 1266</span> </div>
<div class="line"><a id="l01267" name="l01267"></a><span class="lineno"> 1267</span> <span class="keywordflow">for</span> (<span class="keyword">auto</span> i : arr) {</div>
<div class="line"><a id="l01268" name="l01268"></a><span class="lineno"> 1268</span> tree.<a class="code hl_function" href="../../d3/d95/classdata__structures_1_1tree__234_1_1_tree234.html#a6749ebb40710c9752a2771eda03c6b3e">Insert</a>(i);</div>
<div class="line"><a id="l01269" name="l01269"></a><span class="lineno"> 1269</span> }</div>
<div class="line"><a id="l01270" name="l01270"></a><span class="lineno"> 1270</span> </div>
<div class="line"><a id="l01271" name="l01271"></a><span class="lineno"> 1271</span> <span class="comment">// tree.Remove(10);</span></div>
<div class="line"><a id="l01272" name="l01272"></a><span class="lineno"> 1272</span> tree.<a class="code hl_function" href="../../d3/d95/classdata__structures_1_1tree__234_1_1_tree234.html#a5da1be3f5b5d967ebb36a201f3ebad11">Remove</a>(5);</div>
<div class="line"><a id="l01273" name="l01273"></a><span class="lineno"> 1273</span> tree.<a class="code hl_function" href="../../d3/d95/classdata__structures_1_1tree__234_1_1_tree234.html#a2e9a9db7792cf5383f4c4cc418255165">Print</a>();</div>
<div class="line"><a id="l01274" name="l01274"></a><span class="lineno"> 1274</span>}</div>
<div class="ttc" id="aarray_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a></div></div>
<div class="ttc" id="aclassdata__structures_1_1tree__234_1_1_tree234_html"><div class="ttname"><a href="../../d3/d95/classdata__structures_1_1tree__234_1_1_tree234.html">data_structures::tree_234::Tree234</a></div><div class="ttdoc">2-3-4 tree class</div><div class="ttdef"><b>Definition:</b> tree_234.cpp:323</div></div>
<div class="ttc" id="aclassdata__structures_1_1tree__234_1_1_tree234_html_a2e9a9db7792cf5383f4c4cc418255165"><div class="ttname"><a href="../../d3/d95/classdata__structures_1_1tree__234_1_1_tree234.html#a2e9a9db7792cf5383f4c4cc418255165">data_structures::tree_234::Tree234::Print</a></div><div class="ttdeci">void Print(const char *file_name=nullptr)</div><div class="ttdoc">Print tree into a dot file.</div><div class="ttdef"><b>Definition:</b> tree_234.cpp:1131</div></div>
<div class="ttc" id="aclassdata__structures_1_1tree__234_1_1_tree234_html_a5da1be3f5b5d967ebb36a201f3ebad11"><div class="ttname"><a href="../../d3/d95/classdata__structures_1_1tree__234_1_1_tree234.html#a5da1be3f5b5d967ebb36a201f3ebad11">data_structures::tree_234::Tree234::Remove</a></div><div class="ttdeci">bool Remove(int64_t item)</div><div class="ttdoc">Remove item from tree.</div><div class="ttdef"><b>Definition:</b> tree_234.cpp:929</div></div>
<div class="ttc" id="aclassdata__structures_1_1tree__234_1_1_tree234_html_a6749ebb40710c9752a2771eda03c6b3e"><div class="ttname"><a href="../../d3/d95/classdata__structures_1_1tree__234_1_1_tree234.html#a6749ebb40710c9752a2771eda03c6b3e">data_structures::tree_234::Tree234::Insert</a></div><div class="ttdeci">void Insert(int64_t item)</div><div class="ttdoc">Insert item to tree.</div><div class="ttdef"><b>Definition:</b> tree_234.cpp:655</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#af1ac73779b0fcfbbdce3976c0ca57342">&#9670;&nbsp;</a></span>test2()</h2>
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<td class="memname">static void test2 </td>
<td>(</td>
<td class="paramtype">int64_t&#160;</td>
<td class="paramname"><em>n</em></td><td>)</td>
<td></td>
</tr>
</table>
</td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>simple test to insert continuous number of range [0, n), and print the tree </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">n</td><td>upper bound of the range number to insert </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><a id="l01281" name="l01281"></a><span class="lineno"> 1281</span> {</div>
<div class="line"><a id="l01282" name="l01282"></a><span class="lineno"> 1282</span> <a class="code hl_class" href="../../d3/d95/classdata__structures_1_1tree__234_1_1_tree234.html">data_structures::tree_234::Tree234</a> tree;</div>
<div class="line"><a id="l01283" name="l01283"></a><span class="lineno"> 1283</span> </div>
<div class="line"><a id="l01284" name="l01284"></a><span class="lineno"> 1284</span> <span class="keywordflow">for</span> (int64_t i = 0; i &lt; n; i++) {</div>
<div class="line"><a id="l01285" name="l01285"></a><span class="lineno"> 1285</span> tree.<a class="code hl_function" href="../../d3/d95/classdata__structures_1_1tree__234_1_1_tree234.html#a6749ebb40710c9752a2771eda03c6b3e">Insert</a>(i);</div>
<div class="line"><a id="l01286" name="l01286"></a><span class="lineno"> 1286</span> }</div>
<div class="line"><a id="l01287" name="l01287"></a><span class="lineno"> 1287</span> </div>
<div class="line"><a id="l01288" name="l01288"></a><span class="lineno"> 1288</span> tree.<a class="code hl_function" href="../../d3/d95/classdata__structures_1_1tree__234_1_1_tree234.html#a84ab7b4fe7442b5e2eeed8c050bb86bd">Traverse</a>();</div>
<div class="line"><a id="l01289" name="l01289"></a><span class="lineno"> 1289</span> tree.<a class="code hl_function" href="../../d3/d95/classdata__structures_1_1tree__234_1_1_tree234.html#a2e9a9db7792cf5383f4c4cc418255165">Print</a>((<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/to_string.html">std::to_string</a>(n) + <span class="stringliteral">&quot;.dot&quot;</span>).c_str());</div>
<div class="line"><a id="l01290" name="l01290"></a><span class="lineno"> 1290</span>}</div>
<div class="ttc" id="aclassdata__structures_1_1tree__234_1_1_tree234_html_a84ab7b4fe7442b5e2eeed8c050bb86bd"><div class="ttname"><a href="../../d3/d95/classdata__structures_1_1tree__234_1_1_tree234.html#a84ab7b4fe7442b5e2eeed8c050bb86bd">data_structures::tree_234::Tree234::Traverse</a></div><div class="ttdeci">void Traverse()</div><div class="ttdoc">In-order traverse.</div><div class="ttdef"><b>Definition:</b> tree_234.cpp:562</div></div>
<div class="ttc" id="ato_string_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/to_string.html">std::to_string</a></div><div class="ttdeci">T to_string(T... args)</div></div>
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