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<p><a href="../../dd/d0c/hamiltons__cycle_8cpp_source.html">Go to the source code of this file.</a></p>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
<div class="textblock"><p>The implementation of <a href="https://en.wikipedia.org/wiki/Hamiltonian_path" target="_blank">Hamilton's cycle</a> dynamic solution for vertices number less than 20. </p>
<p>I use \(2^n\times n\) matrix and for every \([i, j]\) ( \(i &lt; 2^n\) and \(j &lt; n\)) in the matrix I store <code>true</code> if it is possible to get to all vertices on which position in <code>i</code>'s binary representation is <code>1</code> so as \(j\) would be the last one.</p>
<p>In the the end if any cell in \((2^n - 1)^{\mbox{th}}\) row is <code>true</code> there exists hamiltonian cycle.</p>
<p>I use \(2^n\times n\) matrix and for every \([i, j]\) ( \(i &lt; 2^n\) and \(j &lt; n\)) in the matrix I store <span class="tt">true</span> if it is possible to get to all vertices on which position in <span class="tt">i</span>'s binary representation is <span class="tt">1</span> so as \(j\) would be the last one.</p>
<p>In the the end if any cell in \((2^n - 1)^{\mbox{th}}\) row is <span class="tt">true</span> there exists hamiltonian cycle.</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/vakhokoto" target="_blank">vakhokoto</a> </dd>
<dd>
<a href="https://github.com/kvedala" target="_blank">Krishna Vedala</a> </dd></dl>
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@@ -180,13 +165,13 @@ Functions</h2></td></tr>
<p>The function determines if there is a hamilton's cycle in the graph</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">routes</td><td>nxn boolean matrix of \([i, j]\) where \([i, j]\) is <code>true</code> if there is a road from \(i\) to \(j\) </td></tr>
<tr><td class="paramname">routes</td><td>nxn boolean matrix of \([i, j]\) where \([i, j]\) is <span class="tt">true</span> if there is a road from \(i\) to \(j\) </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd><code>true</code> if there is Hamiltonian cycle in the graph </dd>
<dl class="section return"><dt>Returns</dt><dd><span class="tt">true</span> if there is Hamiltonian cycle in the graph </dd>
<dd>
<code>false</code> if there is no Hamiltonian cycle in the graph </dd></dl>
<span class="tt">false</span> if there is no Hamiltonian cycle in the graph </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../dd/d0c/hamiltons__cycle_8cpp_source.html#l00030">30</a> of file <a class="el" href="../../dd/d0c/hamiltons__cycle_8cpp_source.html">hamiltons_cycle.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 30</span> {</div>
@@ -289,7 +274,7 @@ Functions</h2></td></tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">static void test1 </td>
<td class="memname">void test1 </td>
<td>(</td>
<td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
<td></td>
@@ -301,7 +286,7 @@ Functions</h2></td></tr>
</tr>
</table>
</div><div class="memdoc">
<p>this test is testing if <a class="el" href="#abcf824e347eecfeeb69ea0280f34f3e4">hamilton_cycle</a> returns <code>true</code> for graph: <code>1 -&gt; 2 -&gt; 3 -&gt; 4</code> </p><dl class="section return"><dt>Returns</dt><dd>None </dd></dl>
<p>this test is testing if <a class="el" href="#abcf824e347eecfeeb69ea0280f34f3e4">hamilton_cycle</a> returns <span class="tt">true</span> for graph: <span class="tt">1 -&gt; 2 -&gt; 3 -&gt; 4</span> </p><dl class="section return"><dt>Returns</dt><dd>None </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../dd/d0c/hamiltons__cycle_8cpp_source.html#l00081">81</a> of file <a class="el" href="../../dd/d0c/hamiltons__cycle_8cpp_source.html">hamiltons_cycle.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 81</span> {</div>
@@ -330,7 +315,7 @@ Functions</h2></td></tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">static void test2 </td>
<td class="memname">void test2 </td>
<td>(</td>
<td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
<td></td>
@@ -342,7 +327,7 @@ Functions</h2></td></tr>
</tr>
</table>
</div><div class="memdoc">
<p>this test is testing if <a class="el" href="#abcf824e347eecfeeb69ea0280f34f3e4">hamilton_cycle</a> returns <code>false</code> for <br />
<p>this test is testing if <a class="el" href="#abcf824e347eecfeeb69ea0280f34f3e4">hamilton_cycle</a> returns <span class="tt">false</span> for <br />
graph:</p><pre>
1 -&gt; 2 -&gt; 3
|
@@ -376,7 +361,7 @@ Functions</h2></td></tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">static void test3 </td>
<td class="memname">void test3 </td>
<td>(</td>
<td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
<td></td>
@@ -388,7 +373,7 @@ Functions</h2></td></tr>
</tr>
</table>
</div><div class="memdoc">
<p>this test is testing if <a class="el" href="#abcf824e347eecfeeb69ea0280f34f3e4">hamilton_cycle</a> returns <code>true</code> for clique with 4 vertices </p><dl class="section return"><dt>Returns</dt><dd>None </dd></dl>
<p>this test is testing if <a class="el" href="#abcf824e347eecfeeb69ea0280f34f3e4">hamilton_cycle</a> returns <span class="tt">true</span> for clique with 4 vertices </p><dl class="section return"><dt>Returns</dt><dd>None </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../dd/d0c/hamiltons__cycle_8cpp_source.html#l00122">122</a> of file <a class="el" href="../../dd/d0c/hamiltons__cycle_8cpp_source.html">hamiltons_cycle.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 122</span> {</div>
@@ -409,11 +394,19 @@ Functions</h2></td></tr>
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23
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@@ -4,7 +4,7 @@
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<div class="ttc" id="anamespacedp_html"><div class="ttname"><a href="../../df/d88/namespacedp.html">dp</a></div><div class="ttdoc">for std::vector</div><div class="ttdef"><b>Definition</b> <a href="../../de/d8c/partition__problem_8cpp_source.html#l00039">partition_problem.cpp:39</a></div></div>
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<a href="#namespaces">Namespaces</a> &#124;
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@@ -137,37 +126,31 @@ $(function(){initNavTree('dd/d0d/insertion__sort_8cpp.html','../../'); initResiz
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Namespaces</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d91/namespacesorting.html">sorting</a></td></tr>
<tr class="memitem:sorting" id="r_sorting"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d91/namespacesorting.html">sorting</a></td></tr>
<tr class="memdesc:d5/d91/namespacesorting"><td class="mdescLeft">&#160;</td><td class="mdescRight">for working with vectors <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a78cb2f3b97b6db2c062b2a1df05c9ea9" id="r_a78cb2f3b97b6db2c062b2a1df05c9ea9"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:a78cb2f3b97b6db2c062b2a1df05c9ea9"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d5/d91/namespacesorting.html#a78cb2f3b97b6db2c062b2a1df05c9ea9">sorting::insertionSort</a> (T *arr, int n)</td></tr>
<tr class="memitem:a78cb2f3b97b6db2c062b2a1df05c9ea9 template"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d91/namespacesorting.html#a78cb2f3b97b6db2c062b2a1df05c9ea9">sorting::insertionSort</a> (T *arr, int n)</td></tr>
<tr class="memdesc:a78cb2f3b97b6db2c062b2a1df05c9ea9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Insertion Sort Function. <br /></td></tr>
<tr class="separator:a78cb2f3b97b6db2c062b2a1df05c9ea9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8fe6bac9e03f58abcc2ce26ef3de1b5f" id="r_a8fe6bac9e03f58abcc2ce26ef3de1b5f"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:a8fe6bac9e03f58abcc2ce26ef3de1b5f"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d5/d91/namespacesorting.html#a8fe6bac9e03f58abcc2ce26ef3de1b5f">sorting::insertionSort</a> (std::vector&lt; T &gt; *arr)</td></tr>
<tr class="memitem:a8fe6bac9e03f58abcc2ce26ef3de1b5f template"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d91/namespacesorting.html#a8fe6bac9e03f58abcc2ce26ef3de1b5f">sorting::insertionSort</a> (std::vector&lt; T &gt; *arr)</td></tr>
<tr class="memdesc:a8fe6bac9e03f58abcc2ce26ef3de1b5f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Insertion Sort for a vector. <br /></td></tr>
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<tr class="memitem:a59914553f24088342c139645a02a8a49" id="r_a59914553f24088342c139645a02a8a49"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:a59914553f24088342c139645a02a8a49"><td class="memTemplItemLeft" align="right" valign="top">static void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a59914553f24088342c139645a02a8a49">create_random_array</a> (T *arr, int N)</td></tr>
<tr class="memitem:a59914553f24088342c139645a02a8a49 template"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a59914553f24088342c139645a02a8a49">create_random_array</a> (T *arr, int N)</td></tr>
<tr class="memdesc:a59914553f24088342c139645a02a8a49"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create a random array objecthelper function to create a random array. <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Insertion_sort" target="_blank">Insertion Sort Algorithm (Insertion Sort)</a> </p>
<p>Insertion sort is a simple sorting algorithm that builds the final sorted array one at a time. It is much less efficient compared to other sorting algorithms like heap sort, merge sort or quick sort. However it has several advantages such as</p><ol type="1">
<li>Easy to implement</li>
@@ -197,7 +180,7 @@ Functions</h2></td></tr>
</ol>
<p class="definition">Definition in file <a class="el" href="../../dd/d0d/insertion__sort_8cpp_source.html">insertion_sort.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a59914553f24088342c139645a02a8a49">&#9670;&#160;</a></span>create_random_array()</h2>
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@@ -366,11 +349,19 @@ template&lt;typename T&gt; </div>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d4e/namespaceciphers.html">ciphers</a></td></tr>
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<div class="textblock"><p>Implementation of <a href="https://en.wikipedia.org/wiki/Vigen%C3%A8re_cipher" target="_blank">Vigenère cipher</a> algorithm. </p>
<p>The Vigenère cipher is a method of encrypting alphabetic text by using a series of interwoven vigenere ciphers, based on the letters of a keyword. It employs a form of polyalphabetic substitution.</p>
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Algorithm</h3>
<p>The encryption can also be represented using modular arithmetic by first transforming the letters into numbers, according to the scheme, A → 0, B → 1, ..., Z → 25. Encryption of \(i^{th}\) character in Message M by key K can be described mathematically as,</p>
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dd/d1b/structquery.html
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<p class="definition">Definition at line <a class="el" href="../../d3/d53/mo_8cpp_source.html#l00009">9</a> of file <a class="el" href="../../d3/d53/mo_8cpp_source.html">mo.cpp</a>.</p>
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Private Attributes</h2></td></tr>
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<tr class="memitem:ae9ddce410015ed8dda6380130d82d6c2" id="r_ae9ddce410015ed8dda6380130d82d6c2"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ae9ddce410015ed8dda6380130d82d6c2">_mod</a></td></tr>
<tr class="memdesc:ae9ddce410015ed8dda6380130d82d6c2"><td class="mdescLeft">&#160;</td><td class="mdescRight">modulus of the class <br /></td></tr>
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<p><a href="../../dd/d1e/generate__parentheses_8cpp_source.html">Go to the source code of this file.</a></p>
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Functions</h2></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Well-formed <a href="https://leetcode.com/explore/interview/card/top-interview-questions-medium/109/backtracking/794/" target="_blank">Generated Parentheses</a> with all combinations. </p>
<p>a sequence of parentheses is well-formed if each opening parentheses has a corresponding closing parenthesis and the closing parentheses are correctly ordered</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/WoWS17" target="_blank">Giuseppe Coco</a> </dd></dl>
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<p class="definition">Definition at line <a class="el" href="../../dd/d1e/generate__parentheses_8cpp_source.html#l00082">82</a> of file <a class="el" href="../../dd/d1e/generate__parentheses_8cpp_source.html">generate_parentheses.cpp</a>.</p>
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<a href="#pub-methods">Public Member Functions</a> &#124;
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<p>Disjoint sets union data structure, class based representation.
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<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pub-methods" name="pub-methods"></a>
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<tr class="memdesc:a81897528bdb53fd5e796d75d7dbc430f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Method that combines two disjoint sets to which i and j belongs to and make a single set having a common representative. <br /></td></tr>
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<tr class="memdesc:a64d25c5986742f7c234ed449b2ff7303"><td class="mdescLeft">&#160;</td><td class="mdescRight">A utility function which check whether i and j belongs to same set or not. <br /></td></tr>
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Private Attributes</h2></td></tr>
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<tr class="memdesc:a4ade6f16c418fc98b54452f7b0252a53"><td class="mdescLeft">&#160;</td><td class="mdescRight">maximum of each set to which i belongs to <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p>Disjoint sets union data structure, class based representation. </p>
<dl class="params"><dt>Parameters</dt><dd>
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<h2 class="memtitle"><span class="permalink"><a href="#a126e3002a464e53cd54b07ba56482a72">&#9670;&#160;</a></span>dsu() <span class="overload">[1/2]</span></h2>
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<dl class="section return"><dt>Returns</dt><dd><code>true</code> if element <code>i</code> and <code>j</code> ARE in the same set </dd>
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<p class="definition">Definition at line <a class="el" href="../../d3/dae/dsu__path__compression_8cpp_source.html#l00124">124</a> of file <a class="el" href="../../d3/dae/dsu__path__compression_8cpp_source.html">dsu_path_compression.cpp</a>.</p>
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<dd>
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<p class="definition">Definition at line <a class="el" href="../../df/d28/dsu__union__rank_8cpp_source.html#l00108">108</a> of file <a class="el" href="../../df/d28/dsu__union__rank_8cpp_source.html">dsu_union_rank.cpp</a>.</p>
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<h2 class="groupheader">Member Data Documentation</h2>
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<p>Functions for the Windowed Median algorithm implementation.
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
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49
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<p>Dynamic Programming algorithms.
<a href="#details">More...</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
<tr class="heading"><td colspan="2"><h2 id="header-func-members" class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:af046365a8d77a1267acc082f86135a26" id="r_af046365a8d77a1267acc082f86135a26"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:af046365a8d77a1267acc082f86135a26"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#af046365a8d77a1267acc082f86135a26">is_armstrong</a> (const T &amp;number)</td></tr>
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<tr class="separator:af046365a8d77a1267acc082f86135a26"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0a2215194e58786c34db1ccaf8031079" id="r_a0a2215194e58786c34db1ccaf8031079"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a0a2215194e58786c34db1ccaf8031079">LIS</a> (const std::vector&lt; uint64_t &gt; &amp;a, const uint32_t &amp;n)</td></tr>
<tr class="memdesc:a0a2215194e58786c34db1ccaf8031079"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate the longest increasing subsequence for the specified numbers. <br /></td></tr>
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<tr class="memdesc:afe9f45b6e30ee187509da2d1d0093412"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function that returns the longest palindromic subsequence of a string. <br /></td></tr>
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<tr class="memdesc:a5239174fa0d987f2c67edc1f2af82beb"><td class="mdescLeft">&#160;</td><td class="mdescRight">returns the maximum contiguous circular sum of an array <br /></td></tr>
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<tr class="memdesc:a066e0e739e7c276eee6e61d5b4d37ce8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function to calculate the trapped rainwater. <br /></td></tr>
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</table>
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<div class="textblock"><p>Dynamic Programming algorithms. </p>
<p>Dynamic programming algorithms.</p>
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<dl class="section return"><dt>Returns</dt><dd>the length of the longest increasing subsequence in the <code>a</code> array of size <code>n</code> </dd></dl>
<dl class="section return"><dt>Returns</dt><dd>the length of the longest increasing subsequence in the <span class="tt">a</span> array of size <span class="tt">n</span> </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d7/d57/longest__increasing__subsequence_8cpp_source.html#l00040">40</a> of file <a class="el" href="../../d7/d57/longest__increasing__subsequence_8cpp_source.html">longest_increasing_subsequence.cpp</a>.</p>
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57
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/de0/namespacenumerical__methods.html">numerical_methods</a></td></tr>
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<tr class="memdesc:d1/de0/namespacenumerical__methods"><td class="mdescLeft">&#160;</td><td class="mdescRight">for assert <br /></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/dea/namespacefalse__position.html">false_position</a></td></tr>
<tr class="memitem:false_5Fposition" id="r_false_5Fposition"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/dea/namespacefalse__position.html">false_position</a></td></tr>
<tr class="memdesc:df/dea/namespacefalse__position"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for [False Position] (<a href="https://en.wikipedia.org/wiki/Regula_falsi">https://en.wikipedia.org/wiki/Regula_falsi</a>) method. <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:a85a6ec58b5064d63d4f0df3854496713" id="r_a85a6ec58b5064d63d4f0df3854496713"><td class="memItemLeft" align="right" valign="top">static float&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a85a6ec58b5064d63d4f0df3854496713">numerical_methods::false_position::eq</a> (float x)</td></tr>
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<div class="textblock"><p>Functions for the <a href="https://en.wikipedia.org/wiki/Treap" target="_blank">Treap</a> algorithm implementation. </p>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d48/struct_trie_1_1_trie_node.html">TrieNode</a></td></tr>
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<div class="textblock"><p>A basic implementation of trie class to store only lower-case strings. You can extend the implementation to all the ASCII characters by changing the value of @ ALPHABETS to 128. </p>
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<tr class="memdesc:a306a30931f54c84098b38d6bc8f4a956"><td class="mdescLeft">&#160;</td><td class="mdescRight">Insert a value to the index position. <br /></td></tr>
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<tr class="memdesc:a28944bb16ec22650b47fe3e80e3e13f8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Insert a value to the index position. <br /></td></tr>
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<tr class="memdesc:ad632a0440295bc88ceadae7478fe0d37"><td class="mdescLeft">&#160;</td><td class="mdescRight">Get the child's index of the children array. <br /></td></tr>
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<tr class="memitem:a164574a9209b5df66368530d090b32c4" id="r_a164574a9209b5df66368530d090b32c4"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../dd/d40/classdata__structures_1_1tree__234_1_1_node.html">Node</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a164574a9209b5df66368530d090b32c4">GetChild</a> (int8_t index)</td></tr>
<tr class="memdesc:a164574a9209b5df66368530d090b32c4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Get the child pointer at position of index. <br /></td></tr>
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<tr class="memdesc:ab4e5f7b7b260bb81d9441652cc124c74"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set child pointer to the position of index. <br /></td></tr>
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<tr class="memdesc:a731f9ae385840cf0a06d55e7f9924a94"><td class="mdescLeft">&#160;</td><td class="mdescRight">Get rightmose child of the current node. <br /></td></tr>
<tr class="separator:a731f9ae385840cf0a06d55e7f9924a94"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="memdesc:ac6f619a1605cb46196360889fff4529e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Get leftmose child of the current node. <br /></td></tr>
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<tr class="memitem:ab654d7376d3449fdc78edab0e7fed06e" id="r_ab654d7376d3449fdc78edab0e7fed06e"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../dd/d40/classdata__structures_1_1tree__234_1_1_node.html">Node</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ab654d7376d3449fdc78edab0e7fed06e">GetItemLeftChild</a> (int8_t item_index)</td></tr>
<tr class="memdesc:ab654d7376d3449fdc78edab0e7fed06e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Get left child of item at item_index. <br /></td></tr>
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<tr class="memdesc:a441cbee9896391f2b167d5aa7b4f8c95"><td class="mdescLeft">&#160;</td><td class="mdescRight">Get right child of item at item_index. <br /></td></tr>
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<tr class="memdesc:a91322b3bb0b2b2175eb56e9e10d7db46"><td class="mdescLeft">&#160;</td><td class="mdescRight">Get next node which is possibly contains item. <br /></td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pri-attribs" name="pri-attribs"></a>
<tr class="heading"><td colspan="2"><h2 id="header-pri-attribs" class="groupheader"><a id="pri-attribs" name="pri-attribs"></a>
Private Attributes</h2></td></tr>
<tr class="memitem:a8417d01c88b99ca56289843509fb71f9" id="r_a8417d01c88b99ca56289843509fb71f9"><td class="memItemLeft" align="right" valign="top">std::array&lt; int64_t, 3 &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a8417d01c88b99ca56289843509fb71f9">items</a></td></tr>
<tr class="memdesc:a8417d01c88b99ca56289843509fb71f9"><td class="mdescLeft">&#160;</td><td class="mdescRight">store items <br /></td></tr>
<tr class="separator:a8417d01c88b99ca56289843509fb71f9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad5d6b6ce5fab21ccc88c6bf3153eee5d" id="r_ad5d6b6ce5fab21ccc88c6bf3153eee5d"><td class="memItemLeft" align="right" valign="top">std::array&lt; <a class="el" href="../../dd/d40/classdata__structures_1_1tree__234_1_1_node.html">Node</a> *, 4 &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ad5d6b6ce5fab21ccc88c6bf3153eee5d">children</a></td></tr>
<tr class="memdesc:ad5d6b6ce5fab21ccc88c6bf3153eee5d"><td class="mdescLeft">&#160;</td><td class="mdescRight">store the children pointers <br /></td></tr>
<tr class="separator:ad5d6b6ce5fab21ccc88c6bf3153eee5d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a934e6d53cfefae2b971e1241a8a4c921" id="r_a934e6d53cfefae2b971e1241a8a4c921"><td class="memItemLeft" align="right" valign="top">int8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a934e6d53cfefae2b971e1241a8a4c921">count</a> = 0</td></tr>
<tr class="memdesc:a934e6d53cfefae2b971e1241a8a4c921"><td class="mdescLeft">&#160;</td><td class="mdescRight">track the current item count <br /></td></tr>
<tr class="separator:a934e6d53cfefae2b971e1241a8a4c921"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
<div class="textblock"><p>2-3-4 tree node class </p>
<p class="definition">Definition at line <a class="el" href="../../db/dbc/tree__234_8cpp_source.html#l00035">35</a> of file <a class="el" href="../../db/dbc/tree__234_8cpp_source.html">tree_234.cpp</a>.</p>
</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
</div><a name="doc-constructors" id="doc-constructors"></a><h2 id="header-doc-constructors" class="groupheader">Constructor &amp; Destructor Documentation</h2>
<a id="ad5219979ea9a8baa3a273a9ec0f0c670" name="ad5219979ea9a8baa3a273a9ec0f0c670"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad5219979ea9a8baa3a273a9ec0f0c670">&#9670;&#160;</a></span>Node()</h2>
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</div><!-- fragment -->
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<h2 class="groupheader">Member Function Documentation</h2>
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<h2 class="groupheader">Member Data Documentation</h2>
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<a id="ad5d6b6ce5fab21ccc88c6bf3153eee5d" name="ad5d6b6ce5fab21ccc88c6bf3153eee5d"></a>
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<div id="page-nav" class="page-nav-panel">
<div id="page-nav-resize-handle"></div>
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<li class="navelem"><a class="el" href="../../d5/d3c/namespacedata__structures.html">data_structures</a></li><li class="navelem"><b>tree_234</b></li><li class="navelem"><a class="el" href="../../dd/d40/classdata__structures_1_1tree__234_1_1_node.html">Node</a></li>
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<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.14.0 </li>
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32
dd/d43/namespace_m_d5.html
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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18
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<tr class="memitem:ab7f29862d30df351c317eedd60a0c656 template"><td class="memItemLeft" align="right" valign="top">T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ab7f29862d30df351c317eedd60a0c656">sphere_surface_area</a> (T radius)</td></tr>
<tr class="memdesc:ab7f29862d30df351c317eedd60a0c656"><td class="mdescLeft">&#160;</td><td class="mdescRight">surface area of a <a href="https://en.wikipedia.org/wiki/Sphere" target="_blank">sphere</a> ( 4 * pi * r^2) <br /></td></tr>
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<tr class="memitem:ac5803413618fcfb922cb32c6db0fc864" id="r_ac5803413618fcfb922cb32c6db0fc864"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:ac5803413618fcfb922cb32c6db0fc864"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#ac5803413618fcfb922cb32c6db0fc864">cylinder_surface_area</a> (T radius, T <a class="el" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>)</td></tr>
<tr class="memitem:ac5803413618fcfb922cb32c6db0fc864 template"><td class="memItemLeft" align="right" valign="top">T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ac5803413618fcfb922cb32c6db0fc864">cylinder_surface_area</a> (T radius, T <a class="el" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>)</td></tr>
<tr class="memdesc:ac5803413618fcfb922cb32c6db0fc864"><td class="mdescLeft">&#160;</td><td class="mdescRight">surface area of a <a href="https://en.wikipedia.org/wiki/Cylinder" target="_blank">cylinder</a> (2 * pi * r * h + 2 * pi * r^2) <br /></td></tr>
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<tr class="memitem:a3277e65a8f380e7632791975bfba0efb" id="r_a3277e65a8f380e7632791975bfba0efb"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:a3277e65a8f380e7632791975bfba0efb"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a3277e65a8f380e7632791975bfba0efb">hemi_sphere_surface_area</a> (T radius)</td></tr>
<tr class="memitem:a3277e65a8f380e7632791975bfba0efb template"><td class="memItemLeft" align="right" valign="top">T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a3277e65a8f380e7632791975bfba0efb">hemi_sphere_surface_area</a> (T radius)</td></tr>
<tr class="memdesc:a3277e65a8f380e7632791975bfba0efb"><td class="mdescLeft">&#160;</td><td class="mdescRight">surface area of a <a href="https://en.wikipedia.org/wiki/Surface_area" target="_blank">hemi-sphere</a> ( 3 * pi * r^2) <br /></td></tr>
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<tr class="memitem:af05567415a9ea36c254b54e3d5a2152a" id="r_af05567415a9ea36c254b54e3d5a2152a"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#af05567415a9ea36c254b54e3d5a2152a">sum_of_divisor</a> (int num)</td></tr>
<tr class="memdesc:af05567415a9ea36c254b54e3d5a2152a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function to calculate the sum of all the proper divisor of an integer. <br /></td></tr>
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<tr class="memitem:a8e6eede206201db0d1dbb618fa969bec" id="r_a8e6eede206201db0d1dbb618fa969bec"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a8e6eede206201db0d1dbb618fa969bec">are_amicable</a> (int x, int y)</td></tr>
<tr class="memdesc:a8e6eede206201db0d1dbb618fa969bec"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function to check whether the pair is amicable or not. <br /></td></tr>
<tr class="separator:a8e6eede206201db0d1dbb618fa969bec"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6c72f756a7bf1b9043c357e3fe7814ca" id="r_a6c72f756a7bf1b9043c357e3fe7814ca"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a6c72f756a7bf1b9043c357e3fe7814ca">is_factorial</a> (uint64_t n)</td></tr>
<tr class="memdesc:a6c72f756a7bf1b9043c357e3fe7814ca"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function to check if the given number is factorial of some number or not. <br /></td></tr>
<tr class="separator:a6c72f756a7bf1b9043c357e3fe7814ca"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abd8f794b2229b42876169ff841b6e444" id="r_abd8f794b2229b42876169ff841b6e444"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#abd8f794b2229b42876169ff841b6e444">is_prime</a> (int64_t num)</td></tr>
<tr class="memdesc:abd8f794b2229b42876169ff841b6e444"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function to check if the given number is prime or not. <br /></td></tr>
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<tr class="memitem:a91366864111e1fac29722ca45e02ea8f" id="r_a91366864111e1fac29722ca45e02ea8f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a91366864111e1fac29722ca45e02ea8f">sieve</a> (std::vector&lt; bool &gt; *vec)</td></tr>
<tr class="memdesc:a91366864111e1fac29722ca45e02ea8f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Performs the sieve. <br /></td></tr>
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<tr class="memitem:ad09d59850865012a6fd95d89954c82e4" id="r_ad09d59850865012a6fd95d89954c82e4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ad09d59850865012a6fd95d89954c82e4">print_primes</a> (std::vector&lt; bool &gt; const &amp;<a class="el" href="../../de/d9b/prime__numbers_8cpp.html#a9575f3a51eeb8a57d657b3db6a4b441a">primes</a>)</td></tr>
<tr class="memdesc:ad09d59850865012a6fd95d89954c82e4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Prints all the indexes of true values in the passed std::vector. <br /></td></tr>
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<tr class="memitem:ac37d3ba52eb296597d7a024ba8c4a5a5" id="r_ac37d3ba52eb296597d7a024ba8c4a5a5"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ac37d3ba52eb296597d7a024ba8c4a5a5">phiFunction</a> (uint64_t n)</td></tr>
<tr class="memdesc:ac37d3ba52eb296597d7a024ba8c4a5a5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function to calculate Euler's Totient. <br /></td></tr>
<tr class="separator:ac37d3ba52eb296597d7a024ba8c4a5a5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7e78996673df791014cfe540b183456a" id="r_a7e78996673df791014cfe540b183456a"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a7e78996673df791014cfe540b183456a">factorial</a> (uint8_t n)</td></tr>
<tr class="memdesc:a7e78996673df791014cfe540b183456a"><td class="mdescLeft">&#160;</td><td class="mdescRight">function to find factorial of given number <br /></td></tr>
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<tr class="memitem:aec65db4e5c7317323227f026fe50ef11" id="r_aec65db4e5c7317323227f026fe50ef11"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#aec65db4e5c7317323227f026fe50ef11">integral_approx</a> (double lb, double ub, const std::function&lt; double(double)&gt; &amp;func, double delta=.0001)</td></tr>
<tr class="memdesc:aec65db4e5c7317323227f026fe50ef11"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes integral approximation. <br /></td></tr>
<tr class="separator:aec65db4e5c7317323227f026fe50ef11"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a50936ee98f4d40f17823befc65a32aec" id="r_a50936ee98f4d40f17823befc65a32aec"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a50936ee98f4d40f17823befc65a32aec">test_eval</a> (double approx, double expected, double threshold)</td></tr>
<tr class="memdesc:a50936ee98f4d40f17823befc65a32aec"><td class="mdescLeft">&#160;</td><td class="mdescRight">Wrapper to evaluate if the approximated value is within <code>.XX%</code> threshold of the exact value. <br /></td></tr>
<tr class="separator:a50936ee98f4d40f17823befc65a32aec"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memdesc:a50936ee98f4d40f17823befc65a32aec"><td class="mdescLeft">&#160;</td><td class="mdescRight">Wrapper to evaluate if the approximated value is within <span class="tt">.XX%</span> threshold of the exact value. <br /></td></tr>
<tr class="memitem:a2565c745aac2f9561cc6fd9e56d9b77a" id="r_a2565c745aac2f9561cc6fd9e56d9b77a"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a2565c745aac2f9561cc6fd9e56d9b77a">iterativeFactorial</a> (uint8_t n)</td></tr>
<tr class="memdesc:a2565c745aac2f9561cc6fd9e56d9b77a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the factorial iteratively. <br /></td></tr>
<tr class="separator:a2565c745aac2f9561cc6fd9e56d9b77a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afa39ec943a4836c878e1614fd89b146f" id="r_afa39ec943a4836c878e1614fd89b146f"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#afa39ec943a4836c878e1614fd89b146f">largestPower</a> (uint32_t n, const uint16_t &amp;p)</td></tr>
<tr class="memdesc:afa39ec943a4836c878e1614fd89b146f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function to calculate largest power. <br /></td></tr>
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<tr class="memitem:a04065193d190d605e1f0d0d93a87e244" id="r_a04065193d190d605e1f0d0d93a87e244"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a04065193d190d605e1f0d0d93a87e244">lcmSum</a> (const uint16_t &amp;num)</td></tr>
<tr class="separator:a04065193d190d605e1f0d0d93a87e244"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8d8e81a7cd59644b311ef9adb268f5f0" id="r_a8d8e81a7cd59644b311ef9adb268f5f0"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a8d8e81a7cd59644b311ef9adb268f5f0">magic_number</a> (const uint64_t &amp;n)</td></tr>
<tr class="separator:a8d8e81a7cd59644b311ef9adb268f5f0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afcd07701d73ed65cd616bcba02737f3d" id="r_afcd07701d73ed65cd616bcba02737f3d"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#afcd07701d73ed65cd616bcba02737f3d">power</a> (uint64_t a, uint64_t b, uint64_t c)</td></tr>
<tr class="memdesc:afcd07701d73ed65cd616bcba02737f3d"><td class="mdescLeft">&#160;</td><td class="mdescRight">This function calculates a raised to exponent b under modulo c using modular exponentiation. <br /></td></tr>
<tr class="separator:afcd07701d73ed65cd616bcba02737f3d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6e2dff75c5de70455b90c799d6ad6967" id="r_a6e2dff75c5de70455b90c799d6ad6967"><td class="memTemplParams" colspan="2">template&lt;class T&gt; </td></tr>
<tr class="memitem:a6e2dff75c5de70455b90c799d6ad6967"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a6e2dff75c5de70455b90c799d6ad6967">n_choose_r</a> (T n, T r)</td></tr>
<tr class="memitem:a6e2dff75c5de70455b90c799d6ad6967 template"><td class="memItemLeft" align="right" valign="top">T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a6e2dff75c5de70455b90c799d6ad6967">n_choose_r</a> (T n, T r)</td></tr>
<tr class="memdesc:a6e2dff75c5de70455b90c799d6ad6967"><td class="mdescLeft">&#160;</td><td class="mdescRight">This is the function implementation of \( \binom{n}{r} \). <br /></td></tr>
<tr class="separator:a6e2dff75c5de70455b90c799d6ad6967"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9236348755183644f1225e162d01ab14" id="r_a9236348755183644f1225e162d01ab14"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:a9236348755183644f1225e162d01ab14"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a9236348755183644f1225e162d01ab14">square_perimeter</a> (T length)</td></tr>
<tr class="memitem:a9236348755183644f1225e162d01ab14 template"><td class="memItemLeft" align="right" valign="top">T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a9236348755183644f1225e162d01ab14">square_perimeter</a> (T length)</td></tr>
<tr class="memdesc:a9236348755183644f1225e162d01ab14"><td class="mdescLeft">&#160;</td><td class="mdescRight">perimeter of a <a href="https://en.wikipedia.org/wiki/Square" target="_blank">square</a> (4 * l) <br /></td></tr>
<tr class="separator:a9236348755183644f1225e162d01ab14"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a428769a16e9525e56588d7c7709d25a6" id="r_a428769a16e9525e56588d7c7709d25a6"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:a428769a16e9525e56588d7c7709d25a6"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a428769a16e9525e56588d7c7709d25a6">rect_perimeter</a> (T length, T width)</td></tr>
<tr class="memitem:a428769a16e9525e56588d7c7709d25a6 template"><td class="memItemLeft" align="right" valign="top">T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a428769a16e9525e56588d7c7709d25a6">rect_perimeter</a> (T length, T width)</td></tr>
<tr class="memdesc:a428769a16e9525e56588d7c7709d25a6"><td class="mdescLeft">&#160;</td><td class="mdescRight">perimeter of a <a href="https://en.wikipedia.org/wiki/Rectangle" target="_blank">rectangle</a> ( 2(l + w) ) <br /></td></tr>
<tr class="separator:a428769a16e9525e56588d7c7709d25a6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3d1e4db743b189f309327572663415f3" id="r_a3d1e4db743b189f309327572663415f3"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:a3d1e4db743b189f309327572663415f3"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a3d1e4db743b189f309327572663415f3">triangle_perimeter</a> (T base, T <a class="el" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>, T hypotenuse)</td></tr>
<tr class="memitem:a3d1e4db743b189f309327572663415f3 template"><td class="memItemLeft" align="right" valign="top">T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a3d1e4db743b189f309327572663415f3">triangle_perimeter</a> (T base, T <a class="el" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>, T hypotenuse)</td></tr>
<tr class="memdesc:a3d1e4db743b189f309327572663415f3"><td class="mdescLeft">&#160;</td><td class="mdescRight">perimeter of a <a href="https://en.wikipedia.org/wiki/Triangle" target="_blank">triangle</a> (a + b + c) <br /></td></tr>
<tr class="separator:a3d1e4db743b189f309327572663415f3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad0acf82b7bc920182bf8322d1e103953" id="r_ad0acf82b7bc920182bf8322d1e103953"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:ad0acf82b7bc920182bf8322d1e103953"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#ad0acf82b7bc920182bf8322d1e103953">circle_perimeter</a> (T radius)</td></tr>
<tr class="memitem:ad0acf82b7bc920182bf8322d1e103953 template"><td class="memItemLeft" align="right" valign="top">T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ad0acf82b7bc920182bf8322d1e103953">circle_perimeter</a> (T radius)</td></tr>
<tr class="memdesc:ad0acf82b7bc920182bf8322d1e103953"><td class="mdescLeft">&#160;</td><td class="mdescRight">perimeter of a <a href="https://en.wikipedia.org/wiki/perimeter_of_a_circle" target="_blank">circle</a> (2 * pi * r) <br /></td></tr>
<tr class="separator:ad0acf82b7bc920182bf8322d1e103953"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0efb235330ff48e14fd31faaccbcebb3" id="r_a0efb235330ff48e14fd31faaccbcebb3"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:a0efb235330ff48e14fd31faaccbcebb3"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a0efb235330ff48e14fd31faaccbcebb3">parallelogram_perimeter</a> (T base, T <a class="el" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>)</td></tr>
<tr class="memitem:a0efb235330ff48e14fd31faaccbcebb3 template"><td class="memItemLeft" align="right" valign="top">T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a0efb235330ff48e14fd31faaccbcebb3">parallelogram_perimeter</a> (T base, T <a class="el" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>)</td></tr>
<tr class="memdesc:a0efb235330ff48e14fd31faaccbcebb3"><td class="mdescLeft">&#160;</td><td class="mdescRight">perimeter of a <a href="https://en.wikipedia.org/wiki/Parallelogram" target="_blank">parallelogram</a> 2(b + h) <br /></td></tr>
<tr class="separator:a0efb235330ff48e14fd31faaccbcebb3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8998ca7b1886d1d7d00aef3b457a9b1b" id="r_a8998ca7b1886d1d7d00aef3b457a9b1b"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:a8998ca7b1886d1d7d00aef3b457a9b1b"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a8998ca7b1886d1d7d00aef3b457a9b1b">cube_surface_perimeter</a> (T length)</td></tr>
<tr class="memitem:a8998ca7b1886d1d7d00aef3b457a9b1b template"><td class="memItemLeft" align="right" valign="top">T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a8998ca7b1886d1d7d00aef3b457a9b1b">cube_surface_perimeter</a> (T length)</td></tr>
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<tr class="memitem:aa8592c3279c41a2c6d4d64eeb488f63f" id="r_aa8592c3279c41a2c6d4d64eeb488f63f"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:aa8592c3279c41a2c6d4d64eeb488f63f"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#aa8592c3279c41a2c6d4d64eeb488f63f">n_polygon_surface_perimeter</a> (T sides, T length)</td></tr>
<tr class="memitem:aa8592c3279c41a2c6d4d64eeb488f63f template"><td class="memItemLeft" align="right" valign="top">T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#aa8592c3279c41a2c6d4d64eeb488f63f">n_polygon_surface_perimeter</a> (T sides, T length)</td></tr>
<tr class="memdesc:aa8592c3279c41a2c6d4d64eeb488f63f"><td class="mdescLeft">&#160;</td><td class="mdescRight">surface perimeter of a <a href="https://www.cuemath.com/measurement/perimeter-of-polygon/" target="_blank">n-polygon</a> ( n * l) <br /></td></tr>
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<tr class="memitem:a1d4df7a4e43a2eac1acc0ac610487c73" id="r_a1d4df7a4e43a2eac1acc0ac610487c73"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:a1d4df7a4e43a2eac1acc0ac610487c73"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a1d4df7a4e43a2eac1acc0ac610487c73">cylinder_surface_perimeter</a> (T radius, T <a class="el" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>)</td></tr>
<tr class="memitem:a1d4df7a4e43a2eac1acc0ac610487c73 template"><td class="memItemLeft" align="right" valign="top">T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a1d4df7a4e43a2eac1acc0ac610487c73">cylinder_surface_perimeter</a> (T radius, T <a class="el" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>)</td></tr>
<tr class="memdesc:a1d4df7a4e43a2eac1acc0ac610487c73"><td class="mdescLeft">&#160;</td><td class="mdescRight">surface perimeter of a <a href="https://en.wikipedia.org/wiki/Cylinder" target="_blank">cylinder</a> (2 * radius + 2 * height) <br /></td></tr>
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<tr class="memitem:a8a48be4d7f14e34c5c92925bc1cbf3bb" id="r_a8a48be4d7f14e34c5c92925bc1cbf3bb"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a8a48be4d7f14e34c5c92925bc1cbf3bb">power_of_two</a> (int n)</td></tr>
<tr class="memdesc:a8a48be4d7f14e34c5c92925bc1cbf3bb"><td class="mdescLeft">&#160;</td><td class="mdescRight">This function finds whether a number is power of 2 or not. <br /></td></tr>
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<tr class="memitem:aacb1411ef2029e81f249c21e17c96fdb" id="r_aacb1411ef2029e81f249c21e17c96fdb"><td class="memItemLeft" align="right" valign="top">std::array&lt; std::complex&lt; long double &gt;, 2 &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#aacb1411ef2029e81f249c21e17c96fdb">quadraticEquation</a> (long double a, long double b, long double c)</td></tr>
<tr class="memdesc:aacb1411ef2029e81f249c21e17c96fdb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Quadratic equation calculator. <br /></td></tr>
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<tr class="memitem:ae1ca505751f5a6d3977b86372cfe75ea" id="r_ae1ca505751f5a6d3977b86372cfe75ea"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ae1ca505751f5a6d3977b86372cfe75ea">binomialCoeffSum</a> (uint64_t n)</td></tr>
<tr class="separator:ae1ca505751f5a6d3977b86372cfe75ea"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae413098478fa38acaac887b7654f0725" id="r_ae413098478fa38acaac887b7654f0725"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:ae413098478fa38acaac887b7654f0725"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#ae413098478fa38acaac887b7654f0725">cube_volume</a> (T length)</td></tr>
<tr class="memitem:ae413098478fa38acaac887b7654f0725 template"><td class="memItemLeft" align="right" valign="top">T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ae413098478fa38acaac887b7654f0725">cube_volume</a> (T length)</td></tr>
<tr class="memdesc:ae413098478fa38acaac887b7654f0725"><td class="mdescLeft">&#160;</td><td class="mdescRight">The volume of a <a href="https://en.wikipedia.org/wiki/Cube" target="_blank">cube</a> <br /></td></tr>
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<tr class="memitem:a3fdc74c24697ec5bb5c3698c96117c12" id="r_a3fdc74c24697ec5bb5c3698c96117c12"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:a3fdc74c24697ec5bb5c3698c96117c12"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a3fdc74c24697ec5bb5c3698c96117c12">rect_prism_volume</a> (T length, T width, T <a class="el" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>)</td></tr>
<tr class="memitem:a3fdc74c24697ec5bb5c3698c96117c12 template"><td class="memItemLeft" align="right" valign="top">T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a3fdc74c24697ec5bb5c3698c96117c12">rect_prism_volume</a> (T length, T width, T <a class="el" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>)</td></tr>
<tr class="memdesc:a3fdc74c24697ec5bb5c3698c96117c12"><td class="mdescLeft">&#160;</td><td class="mdescRight">The volume of a <a href="https://en.wikipedia.org/wiki/Cuboid" target="_blank">rectangular</a> prism. <br /></td></tr>
<tr class="separator:a3fdc74c24697ec5bb5c3698c96117c12"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3fe35440c27758ecc2287e08217d63a7" id="r_a3fe35440c27758ecc2287e08217d63a7"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:a3fe35440c27758ecc2287e08217d63a7"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a3fe35440c27758ecc2287e08217d63a7">cone_volume</a> (T radius, T <a class="el" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>, double PI=3.14)</td></tr>
<tr class="memitem:a3fe35440c27758ecc2287e08217d63a7 template"><td class="memItemLeft" align="right" valign="top">T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a3fe35440c27758ecc2287e08217d63a7">cone_volume</a> (T radius, T <a class="el" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>, double PI=3.14)</td></tr>
<tr class="memdesc:a3fe35440c27758ecc2287e08217d63a7"><td class="mdescLeft">&#160;</td><td class="mdescRight">The volume of a <a href="https://en.wikipedia.org/wiki/Cone" target="_blank">cone</a> <br /></td></tr>
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<tr class="memitem:a2d704a7b72a6b2db8b76c8581b577b2c"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a2d704a7b72a6b2db8b76c8581b577b2c">triangle_prism_volume</a> (T base, T <a class="el" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>, T depth)</td></tr>
<tr class="memitem:a2d704a7b72a6b2db8b76c8581b577b2c template"><td class="memItemLeft" align="right" valign="top">T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a2d704a7b72a6b2db8b76c8581b577b2c">triangle_prism_volume</a> (T base, T <a class="el" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>, T depth)</td></tr>
<tr class="memdesc:a2d704a7b72a6b2db8b76c8581b577b2c"><td class="mdescLeft">&#160;</td><td class="mdescRight">The volume of a <a href="https://en.wikipedia.org/wiki/Triangular_prism" target="_blank">triangular</a> prism. <br /></td></tr>
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<tr class="memitem:a94db02b3c9e55a69ac1696f30e2f761c" id="r_a94db02b3c9e55a69ac1696f30e2f761c"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:a94db02b3c9e55a69ac1696f30e2f761c"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a94db02b3c9e55a69ac1696f30e2f761c">pyramid_volume</a> (T length, T width, T <a class="el" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>)</td></tr>
<tr class="memitem:a94db02b3c9e55a69ac1696f30e2f761c template"><td class="memItemLeft" align="right" valign="top">T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a94db02b3c9e55a69ac1696f30e2f761c">pyramid_volume</a> (T length, T width, T <a class="el" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>)</td></tr>
<tr class="memdesc:a94db02b3c9e55a69ac1696f30e2f761c"><td class="mdescLeft">&#160;</td><td class="mdescRight">The volume of a <a href="https://en.wikipedia.org/wiki/Pyramid_(geometry)" target="_blank">pyramid</a> <br /></td></tr>
<tr class="separator:a94db02b3c9e55a69ac1696f30e2f761c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a34d66a77c19ce9b8b3a3d14352b34551" id="r_a34d66a77c19ce9b8b3a3d14352b34551"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:a34d66a77c19ce9b8b3a3d14352b34551"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a34d66a77c19ce9b8b3a3d14352b34551">sphere_volume</a> (T radius, double PI=3.14)</td></tr>
<tr class="memitem:a34d66a77c19ce9b8b3a3d14352b34551 template"><td class="memItemLeft" align="right" valign="top">T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a34d66a77c19ce9b8b3a3d14352b34551">sphere_volume</a> (T radius, double PI=3.14)</td></tr>
<tr class="memdesc:a34d66a77c19ce9b8b3a3d14352b34551"><td class="mdescLeft">&#160;</td><td class="mdescRight">The volume of a <a href="https://en.wikipedia.org/wiki/Sphere" target="_blank">sphere</a> <br /></td></tr>
<tr class="separator:a34d66a77c19ce9b8b3a3d14352b34551"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abde24398be43538c62e4a496968e60ca" id="r_abde24398be43538c62e4a496968e60ca"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:abde24398be43538c62e4a496968e60ca"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#abde24398be43538c62e4a496968e60ca">cylinder_volume</a> (T radius, T <a class="el" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>, double PI=3.14)</td></tr>
<tr class="memitem:abde24398be43538c62e4a496968e60ca template"><td class="memItemLeft" align="right" valign="top">T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#abde24398be43538c62e4a496968e60ca">cylinder_volume</a> (T radius, T <a class="el" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>, double PI=3.14)</td></tr>
<tr class="memdesc:abde24398be43538c62e4a496968e60ca"><td class="mdescLeft">&#160;</td><td class="mdescRight">The volume of a <a href="https://en.wikipedia.org/wiki/Cylinder" target="_blank">cylinder</a> <br /></td></tr>
<tr class="separator:abde24398be43538c62e4a496968e60ca"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
<div class="textblock"><p>for assert </p>
<p>std::cout</p>
<p>for IO implementations</p>
@@ -335,8 +278,8 @@ Functions</h2></td></tr>
<p>for assert for integral types for std::invalid_argument for std::cout</p>
<p>for std::cin and std::cout</p>
<p>Mathematical algorithms</p>
<p>Given a recurrence relation; evaluate the value of nth term. For e.g., For fibonacci series, recurrence series is <code>f(n) = f(n-1) + f(n-2)</code> where <code>f(0) = 0</code> and <code>f(1) = 1</code>. Note that the method used only demonstrates recurrence relation with one variable (n), unlike <code>nCr</code> problem, since it has two (n, r)</p>
<h3><a class="anchor" id="autotoc_md85"></a>
<p>Given a recurrence relation; evaluate the value of nth term. For e.g., For fibonacci series, recurrence series is <span class="tt">f(n) = f(n-1) + f(n-2)</span> where <span class="tt">f(0) = 0</span> and <span class="tt">f(1) = 1</span>. Note that the method used only demonstrates recurrence relation with one variable (n), unlike <span class="tt">nCr</span> problem, since it has two (n, r)</p>
<h3 class="doxsection"><a class="anchor" id="autotoc_md85"></a>
Algorithm</h3>
<p>This problem can be solved using matrix exponentiation method. </p><dl class="section see"><dt>See also</dt><dd>here for simple <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/modular_exponentiation.cpp" target="_blank">number exponentiation algorithm</a> or <a href="https://en.wikipedia.org/wiki/Exponentiation_by_squaring" target="_blank">explaination here</a>. </dd></dl>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/AshishYUO" target="_blank">Ashish Daulatabad</a> for assert for IO operations for std::vector STL</dd></dl>
@@ -358,7 +301,7 @@ Algorithm</h3>
<p>Mathematical algorithms</p>
<p>for assert for std::pow for std::uint32_t</p>
<p>Mathematical algorithms </p>
</div><h2 class="groupheader">Typedef Documentation</h2>
</div><a name="doc-typedef-members" id="doc-typedef-members"></a><h2 id="header-doc-typedef-members" class="groupheader">Typedef Documentation</h2>
<a id="a006c8ebd11bb1e035815dc835a1a7a85" name="a006c8ebd11bb1e035815dc835a1a7a85"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a006c8ebd11bb1e035815dc835a1a7a85">&#9670;&#160;</a></span>Point</h2>
@@ -386,7 +329,7 @@ Algorithm</h3>
</div><!-- fragment -->
</div>
</div>
<h2 class="groupheader">Function Documentation</h2>
<a name="doc-func-members" id="doc-func-members"></a><h2 id="header-doc-func-members" class="groupheader">Function Documentation</h2>
<a id="ab37f3a7302a84179aae682c79d8390bf" name="ab37f3a7302a84179aae682c79d8390bf"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab37f3a7302a84179aae682c79d8390bf">&#9670;&#160;</a></span>aliquot_sum()</h2>
@@ -495,9 +438,9 @@ Algorithm</h3>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the pair is amicable </dd>
<dl class="section return"><dt>Returns</dt><dd><span class="tt">true</span> if the pair is amicable </dd>
<dd>
<code>false</code> if the pair is not amicable </dd></dl>
<span class="tt">false</span> if the pair is not amicable </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d5/df6/check__amicable__pair_8cpp_source.html#l00058">58</a> of file <a class="el" href="../../d5/df6/check__amicable__pair_8cpp_source.html">check_amicable_pair.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 58</span> {</div>
@@ -1575,7 +1518,7 @@ template&lt;typename T&gt; </div>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 if <code>n</code> IS the power of 2 </dd>
<dl class="section return"><dt>Returns</dt><dd>1 if <span class="tt">n</span> IS the power of 2 </dd>
<dd>
0 if n is NOT a power of 2 </dd></dl>
<p>result stores the bitwise and of n and n-1</p>
@@ -1611,7 +1554,7 @@ template&lt;typename T&gt; </div>
<p>Prints all the indexes of true values in the passed std::vector. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">primes</td><td>The vector that has been passed through <code>sieve(...)</code> </td></tr>
<tr><td class="paramname">primes</td><td>The vector that has been passed through <span class="tt">sieve(...)</span> </td></tr>
</table>
</dd>
</dl>
@@ -2118,7 +2061,7 @@ template&lt;typename T&gt; </div>
</table>
</div><div class="memdoc">
<p>Wrapper to evaluate if the approximated value is within <code>.XX%</code> threshold of the exact value. </p>
<p>Wrapper to evaluate if the approximated value is within <span class="tt">.XX%</span> threshold of the exact value. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">approx</td><td>aprroximate value </td></tr>
@@ -2263,11 +2206,19 @@ template&lt;typename T&gt; </div>
</div>
</div><!-- contents -->
</div><!-- doc-content -->
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8
dd/d4c/structciphers_1_1elliptic__curve__key__exchange_1_1_point__coll__graph.map
View File

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<tr class="memitem:a575c989afcc78e875031cd4273e62a3e"><td class="memTemplItemLeft" align="right" valign="top">std::ostream &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a575c989afcc78e875031cd4273e62a3e">operator&lt;&lt;</a> (std::ostream &amp;out, <a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a>&lt; T &gt; const &amp;v)</td></tr>
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<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/LU_decompositon" target="_blank">LU decomposition</a> of a square matrix </p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/kvedala" target="_blank">Krishna Vedala</a> </dd></dl>
<p class="definition">Definition in file <a class="el" href="../../dd/d65/lu__decompose_8cpp_source.html">lu_decompose.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a3c04138a5bfe5d72780bb7e82a18e627">&#9670;&#160;</a></span>main()</h2>
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<p>for std::vector
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<p>Range Queries algorithms.</p>
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<p>Range Queries algorithms </p>
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<p>Insertion sort is a simple sorting algorithm that builds the final sorted array one element at a time. It is much less efficient compared to other sorting algorithms like heap sort, merge sort, or quick sort.</p>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
<div class="textblock"><p>A simple <a href="https://en.wikipedia.org/wiki/Matching_game" target="_blank">Memory Game</a> with <b>3 different sizes</b> and multiple letters. </p>
<p>The game consists on finding <b>the pair</b> of all the given letters depending on the table size. Once all of the instances are all found, the game will end and will ask you if you'd like to play again or not.</p>
<p>It provides <b>3 different sizes</b> available that the user can choose (4x2, 5x2, 7x2). 7x2 being the biggest table size and hardest mode. The bigger the size, <b>the more letters are available</b>.</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/Panquesito7" target="_blank">David Leal</a> </dd></dl>
<p class="definition">Definition in file <a class="el" href="../../dd/d92/memory__game_8cpp_source.html">memory_game.cpp</a>.</p>
</div><h2 class="groupheader">Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</a></span>main()</h2>
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<tr class="memitem:ad0e78179ab979ae2bc4304bdc181db17" id="r_ad0e78179ab979ae2bc4304bdc181db17"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ad0e78179ab979ae2bc4304bdc181db17">update</a> (int pos, T val)</td></tr>
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<tr class="memdesc:a8fecc48e8e3f6f5f6e728495a4282e52"><td class="mdescLeft">&#160;</td><td class="mdescRight">Helper method for range_comb method below. <br /></td></tr>
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Private Attributes</h2></td></tr>
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<tr class="memdesc:a10ffa5fc03c66170f0bc2592b843baa3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Comb(ID, x) = x. <br /></td></tr>
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<tr class="memitem:a735d072a603f3abb7c03818440575258" id="r_a735d072a603f3abb7c03818440575258"><td class="memItemLeft" align="right" valign="top">std::vector&lt; T &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a735d072a603f3abb7c03818440575258">t</a></td></tr>
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<tr class="memitem:a167fd91b68048e49e97859a8947690f3" id="r_a167fd91b68048e49e97859a8947690f3"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a167fd91b68048e49e97859a8947690f3">size</a> = 0</td></tr>
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<div class="textblock"><div class="compoundTemplParams">template&lt;class T&gt;<br />
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<tr class="separator:ad45fde095ac00effe1fe00b1d85ff9c7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af22395b8e9e04222aa93a329523faef9" id="r_af22395b8e9e04222aa93a329523faef9"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#af22395b8e9e04222aa93a329523faef9">EightPuzzle</a> (const <a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">EightPuzzle</a>&lt; N &gt; &amp;&amp;A) noexcept</td></tr>
<tr class="memdesc:af22395b8e9e04222aa93a329523faef9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Move constructor. <br /></td></tr>
<tr class="separator:af22395b8e9e04222aa93a329523faef9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a194c2973b51a5467fc17064a4ea4e6f9" id="r_a194c2973b51a5467fc17064a4ea4e6f9"><td class="memItemLeft" align="right" valign="top"><a id="a194c2973b51a5467fc17064a4ea4e6f9" name="a194c2973b51a5467fc17064a4ea4e6f9"></a>
&#160;</td><td class="memItemRight" valign="bottom"><b>~EightPuzzle</b> ()=default</td></tr>
<tr class="memdesc:a194c2973b51a5467fc17064a4ea4e6f9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Destructor of <a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html" title="A class defining EightPuzzle/15-Puzzle game.">EightPuzzle</a>. <br /></td></tr>
<tr class="separator:a194c2973b51a5467fc17064a4ea4e6f9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a467e722dc1fcc82bfb4cef55744e04e2" id="r_a467e722dc1fcc82bfb4cef55744e04e2"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">EightPuzzle</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a467e722dc1fcc82bfb4cef55744e04e2">operator=</a> (const <a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">EightPuzzle</a> &amp;A)</td></tr>
<tr class="memdesc:a467e722dc1fcc82bfb4cef55744e04e2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy assignment operator. <br /></td></tr>
<tr class="separator:a467e722dc1fcc82bfb4cef55744e04e2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1802cf6197a255055cb734d626abc101" id="r_a1802cf6197a255055cb734d626abc101"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">EightPuzzle</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a1802cf6197a255055cb734d626abc101">operator=</a> (<a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">EightPuzzle</a> &amp;&amp;A) noexcept</td></tr>
<tr class="memdesc:a1802cf6197a255055cb734d626abc101"><td class="mdescLeft">&#160;</td><td class="mdescRight">Move assignment operator. <br /></td></tr>
<tr class="separator:a1802cf6197a255055cb734d626abc101"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a26a976171392d257ca0f814ed73e0658" id="r_a26a976171392d257ca0f814ed73e0658"><td class="memItemLeft" align="right" valign="top">std::vector&lt; <a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">EightPuzzle</a>&lt; N &gt; &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a26a976171392d257ca0f814ed73e0658">generate_possible_moves</a> ()</td></tr>
<tr class="memdesc:a26a976171392d257ca0f814ed73e0658"><td class="mdescLeft">&#160;</td><td class="mdescRight">Find all possible states after processing all possible moves, given the current state of the puzzle. <br /></td></tr>
<tr class="separator:a26a976171392d257ca0f814ed73e0658"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa17e0227321b109ed91e156ac1332915" id="r_aa17e0227321b109ed91e156ac1332915"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#aa17e0227321b109ed91e156ac1332915">operator==</a> (const <a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">EightPuzzle</a>&lt; N &gt; &amp;check) const</td></tr>
<tr class="memdesc:aa17e0227321b109ed91e156ac1332915"><td class="mdescLeft">&#160;</td><td class="mdescRight">check whether two boards are equal <br /></td></tr>
<tr class="separator:aa17e0227321b109ed91e156ac1332915"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a64815f10cf9fb9fdb4cc92731ccf10ba" id="r_a64815f10cf9fb9fdb4cc92731ccf10ba"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a64815f10cf9fb9fdb4cc92731ccf10ba">operator&lt;</a> (const <a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">EightPuzzle</a>&lt; N &gt; &amp;check) const</td></tr>
<tr class="memdesc:a64815f10cf9fb9fdb4cc92731ccf10ba"><td class="mdescLeft">&#160;</td><td class="mdescRight">check whether one board is lexicographically smaller <br /></td></tr>
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<tr class="memitem:af778034b2942ecac6df1e9ec8b5412ee" id="r_af778034b2942ecac6df1e9ec8b5412ee"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#af778034b2942ecac6df1e9ec8b5412ee">operator&lt;=</a> (const <a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">EightPuzzle</a>&lt; N &gt; &amp;check) const</td></tr>
<tr class="memdesc:af778034b2942ecac6df1e9ec8b5412ee"><td class="mdescLeft">&#160;</td><td class="mdescRight">check whether one board is lexicographically smaller or equal <br /></td></tr>
<tr class="separator:af778034b2942ecac6df1e9ec8b5412ee"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pri-methods" name="pri-methods"></a>
<tr class="heading"><td colspan="2"><h2 id="header-pri-methods" class="groupheader"><a id="pri-methods" name="pri-methods"></a>
Private Member Functions</h2></td></tr>
<tr class="memitem:a94f794bf44f424b1b0ca6ef9f4f6ebd3" id="r_a94f794bf44f424b1b0ca6ef9f4f6ebd3"><td class="memItemLeft" align="right" valign="top">std::pair&lt; uint32_t, uint32_t &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a94f794bf44f424b1b0ca6ef9f4f6ebd3">find_zero</a> ()</td></tr>
<tr class="memdesc:a94f794bf44f424b1b0ca6ef9f4f6ebd3"><td class="mdescLeft">&#160;</td><td class="mdescRight">A helper array to evaluate the next state from current state;. <br /></td></tr>
<tr class="separator:a94f794bf44f424b1b0ca6ef9f4f6ebd3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a48d054230468b79037964f474d842b6e" id="r_a48d054230468b79037964f474d842b6e"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a48d054230468b79037964f474d842b6e">in_range</a> (const uint32_t value) const</td></tr>
<tr class="memdesc:a48d054230468b79037964f474d842b6e"><td class="mdescLeft">&#160;</td><td class="mdescRight">check whether the index value is bounded within the puzzle area <br /></td></tr>
<tr class="separator:a48d054230468b79037964f474d842b6e"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pri-attribs" name="pri-attribs"></a>
<tr class="heading"><td colspan="2"><h2 id="header-pri-attribs" class="groupheader"><a id="pri-attribs" name="pri-attribs"></a>
Private Attributes</h2></td></tr>
<tr class="memitem:a35d8f14ca17218f236c09ff9ad864f9c" id="r_a35d8f14ca17218f236c09ff9ad864f9c"><td class="memItemLeft" align="right" valign="top">std::array&lt; std::array&lt; uint32_t, N &gt;, N &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a35d8f14ca17218f236c09ff9ad864f9c">board</a></td></tr>
<tr class="separator:a35d8f14ca17218f236c09ff9ad864f9c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa73857052e69b86347859d9148933f71" id="r_aa73857052e69b86347859d9148933f71"><td class="memItemLeft" align="right" valign="top">std::vector&lt; std::pair&lt; int8_t, int8_t &gt; &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#aa73857052e69b86347859d9148933f71">moves</a></td></tr>
<tr class="memdesc:aa73857052e69b86347859d9148933f71"><td class="mdescLeft">&#160;</td><td class="mdescRight">N x N array to store the current state of the Puzzle. <br /></td></tr>
<tr class="separator:aa73857052e69b86347859d9148933f71"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="friends" name="friends"></a>
<tr class="heading"><td colspan="2"><h2 id="header-friends" class="groupheader"><a id="friends" name="friends"></a>
Friends</h2></td></tr>
<tr class="memitem:a9517e162e2988f7db052296bd550a742" id="r_a9517e162e2988f7db052296bd550a742"><td class="memItemLeft" align="right" valign="top">std::ostream &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a9517e162e2988f7db052296bd550a742">operator&lt;&lt;</a> (std::ostream &amp;op, const <a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">EightPuzzle</a>&lt; N &gt; &amp;SomeState)</td></tr>
<tr class="memdesc:a9517e162e2988f7db052296bd550a742"><td class="mdescLeft">&#160;</td><td class="mdescRight">friend operator to display EightPuzzle&lt;&gt; <br /></td></tr>
<tr class="separator:a9517e162e2988f7db052296bd550a742"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
<div class="textblock"><div class="compoundTemplParams">template&lt;size_t N = 3&gt;<br />
class machine_learning::aystar_search::EightPuzzle&lt; N &gt;</div><p>A class defining <a href="https://en.wikipedia.org/wiki/15_puzzle" target="_blank">EightPuzzle/15-Puzzle game</a>. </p>
<p>A well known 3 x 3 puzzle of the form <code> 1 2 3 4 5 6 7 8 0 </code> where <code>0</code> represents an empty space in the puzzle Given any random state, the goal is to achieve the above configuration (or any other configuration if possible) </p><dl class="tparams"><dt>Template Parameters</dt><dd>
<p>A well known 3 x 3 puzzle of the form <span class="tt">
1 2 3
4 5 6
7 8 0
</span> where <span class="tt">0</span> represents an empty space in the puzzle Given any random state, the goal is to achieve the above configuration (or any other configuration if possible) </p><dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">N</td><td>size of the square Puzzle, default is set to 3 (since it is <a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html" title="A class defining EightPuzzle/15-Puzzle game.">EightPuzzle</a>) </td></tr>
</table>
@@ -219,7 +190,7 @@ class machine_learning::aystar_search::EightPuzzle&lt; N &gt;</div><p>A class de
</dl>
<p class="definition">Definition at line <a class="el" href="../../dd/dec/a__star__search_8cpp_source.html#l00060">60</a> of file <a class="el" href="../../dd/dec/a__star__search_8cpp_source.html">a_star_search.cpp</a>.</p>
</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
</div><a name="doc-constructors" id="doc-constructors"></a><h2 id="header-doc-constructors" class="groupheader">Constructor &amp; Destructor Documentation</h2>
<a id="a3dc09f4742a0e1167ed202f7bf94721b" name="a3dc09f4742a0e1167ed202f7bf94721b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3dc09f4742a0e1167ed202f7bf94721b">&#9670;&#160;</a></span>EightPuzzle() <span class="overload">[1/4]</span></h2>
@@ -373,7 +344,7 @@ template&lt;size_t N = 3&gt; </div>
</div><!-- fragment -->
</div>
</div>
<h2 class="groupheader">Member Function Documentation</h2>
<a name="doc-func-members" id="doc-func-members"></a><h2 id="header-doc-func-members" class="groupheader">Member Function Documentation</h2>
<a id="a94f794bf44f424b1b0ca6ef9f4f6ebd3" name="a94f794bf44f424b1b0ca6ef9f4f6ebd3"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a94f794bf44f424b1b0ca6ef9f4f6ebd3">&#9670;&#160;</a></span>find_zero()</h2>
@@ -620,7 +591,7 @@ template&lt;size_t N = 3&gt; </div>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd><code>true</code> if index is within the board, else <code>false</code> </dd></dl>
<dl class="section return"><dt>Returns</dt><dd><span class="tt">true</span> if index is within the board, else <span class="tt">false</span> </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../dd/dec/a__star__search_8cpp_source.html#l00090">90</a> of file <a class="el" href="../../dd/dec/a__star__search_8cpp_source.html">a_star_search.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 90</span>{ <span class="keywordflow">return</span> <a class="code hl_class" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">value</a> &lt; <a class="code hl_class" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">N</a>; }</div>
@@ -653,7 +624,7 @@ template&lt;size_t N = 3&gt; </div>
</div><div class="memdoc">
<p>check whether one board is lexicographically smaller </p>
<dl class="section return"><dt>Returns</dt><dd><code>true</code> if this-&gt;state is lexicographically smaller than <code>check.state</code>, else <code>false</code> </dd></dl>
<dl class="section return"><dt>Returns</dt><dd><span class="tt">true</span> if this-&gt;state is lexicographically smaller than <span class="tt">check.state</span>, else <span class="tt">false</span> </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../dd/dec/a__star__search_8cpp_source.html#l00218">218</a> of file <a class="el" href="../../dd/dec/a__star__search_8cpp_source.html">a_star_search.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 218</span> {</div>
@@ -695,7 +666,7 @@ template&lt;size_t N = 3&gt; </div>
</div><div class="memdoc">
<p>check whether one board is lexicographically smaller or equal </p>
<dl class="section return"><dt>Returns</dt><dd><code>true</code> if this-&gt;state is lexicographically smaller than <code>check.state</code> or same, else <code>false</code> </dd></dl>
<dl class="section return"><dt>Returns</dt><dd><span class="tt">true</span> if this-&gt;state is lexicographically smaller than <span class="tt">check.state</span> or same, else <span class="tt">false</span> </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../dd/dec/a__star__search_8cpp_source.html#l00233">233</a> of file <a class="el" href="../../dd/dec/a__star__search_8cpp_source.html">a_star_search.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 233</span> {</div>
@@ -819,7 +790,7 @@ template&lt;size_t N = 3&gt; </div>
</div><div class="memdoc">
<p>check whether two boards are equal </p>
<dl class="section return"><dt>Returns</dt><dd><code>true</code> if check.state is equal to <code>this-&gt;state</code>, else <code>false</code> </dd></dl>
<dl class="section return"><dt>Returns</dt><dd><span class="tt">true</span> if check.state is equal to <span class="tt">this-&gt;state</span>, else <span class="tt">false</span> </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../dd/dec/a__star__search_8cpp_source.html#l00200">200</a> of file <a class="el" href="../../dd/dec/a__star__search_8cpp_source.html">a_star_search.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 200</span> {</div>
@@ -839,7 +810,7 @@ template&lt;size_t N = 3&gt; </div>
</div><!-- fragment -->
</div>
</div>
<h2 class="groupheader">Friends And Related Symbol Documentation</h2>
<a name="doc-related-members" id="doc-related-members"></a><h2 id="header-doc-related-members" class="groupheader">Friends And Related Symbol Documentation</h2>
<a id="a9517e162e2988f7db052296bd550a742" name="a9517e162e2988f7db052296bd550a742"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9517e162e2988f7db052296bd550a742">&#9670;&#160;</a></span>operator&lt;&lt;</h2>
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</div><!-- fragment -->
</div>
</div>
<h2 class="groupheader">Member Data Documentation</h2>
<a name="doc-variable-members" id="doc-variable-members"></a><h2 id="header-doc-variable-members" class="groupheader">Member Data Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a35d8f14ca17218f236c09ff9ad864f9c">&#9670;&#160;</a></span>board</h2>
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</ul>
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<div id="page-nav" class="page-nav-panel">
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<!-- start footer part -->
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<ul>
<li class="navelem"><a class="el" href="../../d8/d77/namespacemachine__learning.html">machine_learning</a></li><li class="navelem"><b>aystar_search</b></li><li class="navelem"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">EightPuzzle</a></li>
<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.13.2 </li>
<li class="navelem"><a href="../../d8/d77/namespacemachine__learning.html">machine_learning</a></li><li class="navelem"><b>aystar_search</b></li><li class="navelem"><a href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">EightPuzzle</a></li>
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