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<p>Implementation of <a href="https://en.wikipedia.org/wiki/Longest_palindromic_substring">Manacher's Algorithm</a>
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
<code>#include &lt;cstring&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for manacher_algorithm.cpp:</div>
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<tr class="memdesc:d8/dc6/namespacemanacher"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for <a href="https://en.wikipedia.org/wiki/Longest_palindromic_substring">Manacher's Algorithm</a> implementation. <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a95e6a2976bb2f332898f373941d52098"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d39/manacher__algorithm_8cpp.html#a95e6a2976bb2f332898f373941d52098">strings::manacher::manacher</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &amp;prototype)</td></tr>
<tr class="memdesc:a95e6a2976bb2f332898f373941d52098"><td class="mdescLeft">&#160;</td><td class="mdescRight">A function that implements Manacher's algorithm. <a href="../../d3/d39/manacher__algorithm_8cpp.html#a95e6a2976bb2f332898f373941d52098">More...</a><br /></td></tr>
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<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d39/manacher__algorithm_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self-test implementations. <a href="../../d3/d39/manacher__algorithm_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">More...</a><br /></td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d39/manacher__algorithm_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <a href="../../d3/d39/manacher__algorithm_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">More...</a><br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Implementation of <a href="https://en.wikipedia.org/wiki/Longest_palindromic_substring">Manacher's Algorithm</a> </p>
<p>Manacher's Algorithm is used to find the longest palindromic substring within a string in O(n) time. It exploits the property of a palindrome that its first half is symmetric to the last half, and thus if the first half is a palindrome, then last half is also a palindrome. </p><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/riti2409">Riti Kumari</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
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<td class="memname">int main </td>
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<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160; {</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; <a class="code" href="../../d3/d39/manacher__algorithm_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160;}</div>
<div class="ttc" id="amanacher__algorithm_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d3/d39/manacher__algorithm_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition:</b> manacher_algorithm.cpp:150</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a95e6a2976bb2f332898f373941d52098">&#9670;&nbsp;</a></span>manacher()</h2>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> strings::manacher::manacher </td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &amp;&#160;</td>
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<p>A function that implements Manacher's algorithm. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">prototype</td><td>is the string where algorithm finds a palindromic substring. This string can contain any character except <code>@</code> <code>#</code> <code>&amp;</code> </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the largest palindromic substring </dd></dl>
<div class="fragment"><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; {</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <span class="keywordflow">if</span> (prototype.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>() &gt; 0) {</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <span class="comment">// stuffing characters between the input string to handle cases with</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; <span class="comment">// even length palindrome</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> stuffed_string = <span class="stringliteral">&quot;&quot;</span>;</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">auto</span> str : prototype) {</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; stuffed_string += str;</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; stuffed_string += <span class="stringliteral">&quot;#&quot;</span>;</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; }</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; stuffed_string = <span class="stringliteral">&quot;@#&quot;</span> + stuffed_string + <span class="stringliteral">&quot;&amp;&quot;</span>;</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; </div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint64_t&gt;</a> palindrome_max_half_length(</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; stuffed_string.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>(),</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; 0); <span class="comment">// this array will consist of largest possible half length of</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; <span class="comment">// palindrome centered at index (say i with respect to the</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; <span class="comment">// stuffed string). This value will be lower bound of half</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="comment">// length since single character is a palindrome in itself.</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; </div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; uint64_t bigger_center =</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; 0; <span class="comment">// this is the index of the center of palindromic</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; <span class="comment">// substring which would be considered as the larger</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <span class="comment">// palindrome, having symmetric halves</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; </div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; uint64_t <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">right</a> = 0; <span class="comment">// this is the maximum length of the palindrome</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <span class="comment">// from &#39;bigger_center&#39; to the rightmost end</span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; </div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; <span class="comment">// i is considered as center lying within one half of the palindrone</span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; <span class="comment">// which is centered at &#39;bigger_center&#39;</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="keywordflow">for</span> (uint64_t i = 1; i &lt; stuffed_string.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>() - 1; i++) {</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <span class="keywordflow">if</span> (i &lt; right) { <span class="comment">// when i is before right end, considering</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; <span class="comment">// &#39;bigger_center&#39; as center of palindrome</span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; uint64_t opposite_to_i =</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; 2 * bigger_center -</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; i; <span class="comment">// this is the opposite end of string, if</span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; <span class="comment">// centered at center, and having one end as i</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; </div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; <span class="comment">// finding the minimum possible half length among</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; <span class="comment">// the palindrome on having center at opposite end,</span></div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; <span class="comment">// and the string between i and right end,</span></div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; <span class="comment">// considering &#39;bigger_center&#39; as center of palindrome</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; palindrome_max_half_length[i] = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a>(</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; palindrome_max_half_length[opposite_to_i], right - i);</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; }</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; </div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; <span class="comment">// expanding the palindrome across the maximum stored length in the</span></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <span class="comment">// array, centered at i</span></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; <span class="keywordflow">while</span> (stuffed_string[i + (palindrome_max_half_length[i] + 1)] ==</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; stuffed_string[i - (palindrome_max_half_length[i] + 1)]) {</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; palindrome_max_half_length[i]++;</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; }</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; </div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; <span class="comment">// if palindrome centered at i exceeds the rightmost end of</span></div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; <span class="comment">// palindrome centered at &#39;bigger_center&#39;, then i will be made the</span></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; <span class="comment">// &#39;bigger_center&#39; and right value will also be updated with respect</span></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; <span class="comment">// to center i</span></div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; <span class="keywordflow">if</span> (i + palindrome_max_half_length[i] &gt; right) {</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; bigger_center = i;</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">right</a> = i + palindrome_max_half_length[i];</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; }</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; }</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; </div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; <span class="comment">// now extracting the first largest palindrome</span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; uint64_t half_length = 0; <span class="comment">// half length of the largest palindrome</span></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; uint64_t center_index = 0; <span class="comment">// index of center of the largest palindrome</span></div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; </div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; </div>
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<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; <span class="comment">// palindromic substring</span></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&nbsp;</a></span>test()</h2>
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<td class="memname">static void test </td>
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<p>Self-test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; {</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; assert(strings::manacher::manacher(<span class="stringliteral">&quot;&quot;</span>) == <span class="stringliteral">&quot;&quot;</span>);</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; assert(strings::manacher::manacher(<span class="stringliteral">&quot;abababc&quot;</span>) == <span class="stringliteral">&quot;ababa&quot;</span>);</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; assert(strings::manacher::manacher(<span class="stringliteral">&quot;cbaabd&quot;</span>) == <span class="stringliteral">&quot;baab&quot;</span>);</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; assert(strings::manacher::manacher(<span class="stringliteral">&quot;DedzefDeD&quot;</span>) == <span class="stringliteral">&quot;DeD&quot;</span>);</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; assert(strings::manacher::manacher(<span class="stringliteral">&quot;XZYYXXYZXX&quot;</span>) == <span class="stringliteral">&quot;YXXY&quot;</span>);</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; assert(strings::manacher::manacher(<span class="stringliteral">&quot;1sm222m10abc&quot;</span>) == <span class="stringliteral">&quot;m222m&quot;</span>);</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; assert(strings::manacher::manacher(<span class="stringliteral">&quot;798989591&quot;</span>) == <span class="stringliteral">&quot;98989&quot;</span>);</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160; assert(strings::manacher::manacher(<span class="stringliteral">&quot;xacdedcax&quot;</span>) == <span class="stringliteral">&quot;xacdedcax&quot;</span>);</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160; assert(strings::manacher::manacher(<span class="stringliteral">&quot;xaccax&quot;</span>) == <span class="stringliteral">&quot;xaccax&quot;</span>);</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160; assert(strings::manacher::manacher(<span class="stringliteral">&quot;a&quot;</span>) == <span class="stringliteral">&quot;a&quot;</span>);</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160; assert(strings::manacher::manacher(<span class="stringliteral">&quot;xy&quot;</span>) == <span class="stringliteral">&quot;x&quot;</span>);</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; assert(strings::manacher::manacher(<span class="stringliteral">&quot;abced&quot;</span>) == <span class="stringliteral">&quot;a&quot;</span>);</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; </div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;All tests have passed!&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160;}</div>
<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
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, <a class="el" href="d3/dfe/horspool_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">horspool.cpp</a>
, <a class="el" href="d3/d39/manacher__algorithm_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">manacher_algorithm.cpp</a>
</li>
<li>test1()
: <a class="el" href="d7/db9/hill__cipher_8cpp.html#a3147ad576f8a94a2a6b66948672b452b">hill_cipher.cpp</a>

6
globals_i.html
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@@ -127,15 +127,15 @@ $(document).ready(function(){initNavTree('globals_i.html',''); initResizable();
<li>is_square()
: <a class="el" href="dc/d38/ordinary__least__squares__regressor_8cpp.html#a4921874435266592b222e3f2eda0e01f">ordinary_least_squares_regressor.cpp</a>
</li>
<li>isPrime()
: <a class="el" href="d8/d53/modular__inverse__fermat__little__theorem_8cpp.html#a09660096b134753128952246f4f4e4bd">modular_inverse_fermat_little_theorem.cpp</a>
</li>
<li>IsPrime()
: <a class="el" href="da/d7b/primality__test_8cpp.html#a2bfa6adead2bdcbf1dac94cbe08d7eaf">primality_test.cpp</a>
</li>
<li>isprime
: <a class="el" href="db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">prime_factorization.cpp</a>
</li>
<li>isPrime()
: <a class="el" href="d8/d53/modular__inverse__fermat__little__theorem_8cpp.html#a09660096b134753128952246f4f4e4bd">modular_inverse_fermat_little_theorem.cpp</a>
</li>
<li>it_ternary_search()
: <a class="el" href="dc/dfe/ternary__search_8cpp.html#ae30dfe2894191bfeffe5b3b1854b95b0">ternary_search.cpp</a>
</li>

1
globals_m.html
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@@ -288,6 +288,7 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
, <a class="el" href="d3/d7d/brute__force__string__searching_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">brute_force_string_searching.cpp</a>
, <a class="el" href="d3/dfe/horspool_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">horspool.cpp</a>
, <a class="el" href="de/d6a/knuth__morris__pratt_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">knuth_morris_pratt.cpp</a>
, <a class="el" href="d3/d39/manacher__algorithm_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">manacher_algorithm.cpp</a>
, <a class="el" href="d6/dce/rabin__karp_8cpp.html#a840291bc02cba5474a4cb46a9b9566fe">rabin_karp.cpp</a>
</li>
<li>mat_mul()

1
globals_t.html
View File

@@ -169,6 +169,7 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
, <a class="el" href="db/d3f/wave__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">wave_sort.cpp</a>
, <a class="el" href="d5/d4c/group__sorting.html#gaa8dca7b867074164d5f45b0f3851269d">wiggle_sort.cpp</a>
, <a class="el" href="d3/dfe/horspool_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">horspool.cpp</a>
, <a class="el" href="d3/d39/manacher__algorithm_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">manacher_algorithm.cpp</a>
</li>
<li>test1()
: <a class="el" href="d7/db9/hill__cipher_8cpp.html#a3147ad576f8a94a2a6b66948672b452b">hill_cipher.cpp</a>

6
namespacemembers.html
View File

@@ -223,12 +223,12 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
<li>isPossible()
: <a class="el" href="db/dc0/namespacebacktracking.html#a80af16e57cfb6aaab2bf1da4c4db3308">backtracking</a>
</li>
<li>isSafe()
: <a class="el" href="db/dc0/namespacebacktracking.html#a5a6c3c2b065ea1c07adf2f638f8efc43">backtracking</a>
</li>
<li>issafe()
: <a class="el" href="db/dc0/namespacebacktracking.html#a531de8cb2d4d16ca63353d9c72158257">backtracking</a>
</li>
<li>isSafe()
: <a class="el" href="db/dc0/namespacebacktracking.html#a5a6c3c2b065ea1c07adf2f638f8efc43">backtracking</a>
</li>
</ul>

6
namespacemembers_func.html
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@@ -223,12 +223,12 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
<li>isPossible()
: <a class="el" href="db/dc0/namespacebacktracking.html#a80af16e57cfb6aaab2bf1da4c4db3308">backtracking</a>
</li>
<li>isSafe()
: <a class="el" href="db/dc0/namespacebacktracking.html#a5a6c3c2b065ea1c07adf2f638f8efc43">backtracking</a>
</li>
<li>issafe()
: <a class="el" href="db/dc0/namespacebacktracking.html#a531de8cb2d4d16ca63353d9c72158257">backtracking</a>
</li>
<li>isSafe()
: <a class="el" href="db/dc0/namespacebacktracking.html#a5a6c3c2b065ea1c07adf2f638f8efc43">backtracking</a>
</li>
</ul>

193
namespaces.html
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@@ -197,103 +197,104 @@ $(document).ready(function(){initNavTree('namespaces.html',''); initResizable();
<tr id="row_47_1_3_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d4/df4/classmachine__learning_1_1neural__network_1_1_neural_network.html" target="_self">NeuralNetwork</a></td><td class="desc"></td></tr>
<tr id="row_47_2_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d6/d30/classmachine__learning_1_1adaline.html" target="_self">adaline</a></td><td class="desc"></td></tr>
<tr id="row_48_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d93/namespacemagic__sequence.html" target="_self">magic_sequence</a></td><td class="desc">Functions for the <a href="https://www.csplib.org/Problems/prob019/">Magic sequence</a> implementation </td></tr>
<tr id="row_49_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_49_" class="arrow" onclick="toggleFolder('49_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d47/namespacemath.html" target="_self">math</a></td><td class="desc">For IO operations </td></tr>
<tr id="row_49_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>binomial</b></td><td class="desc"></td></tr>
<tr id="row_49_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>fibonacci_sum</b></td><td class="desc"></td></tr>
<tr id="row_49_2_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>linear_recurrence_matrix</b></td><td class="desc"></td></tr>
<tr id="row_49_3_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>modular_division</b></td><td class="desc"></td></tr>
<tr id="row_49_4_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>n_bonacci</b></td><td class="desc"></td></tr>
<tr id="row_49_5_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_49_5_" class="arrow" onclick="toggleFolder('49_5_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>ncr_modulo_p</b></td><td class="desc"></td></tr>
<tr id="row_49_5_0_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html" target="_self">NCRModuloP</a></td><td class="desc">Class which contains all methods required for calculating nCr mod p </td></tr>
<tr id="row_49_6_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>vector_cross</b></td><td class="desc"></td></tr>
<tr id="row_50_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/dd4/namespacemedian__search.html" target="_self">median_search</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Median_search">Median search</a> algorithm </td></tr>
<tr id="row_51_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d0a/namespacemerge__insertion.html" target="_self">merge_insertion</a></td><td class="desc">Combined Intersion-Merge sorting algorithm </td></tr>
<tr id="row_52_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/db8/namespacemincoins__topdown.html" target="_self">mincoins_topdown</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/coin-change/">minimum coin exchange</a> problem </td></tr>
<tr id="row_53_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d12/namespace_minimum.html" target="_self">Minimum</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Edit_distance">Minimum Edit Distance</a> algorithm </td></tr>
<tr id="row_54_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d1/d64/namespacemodular__division.html" target="_self">modular_division</a></td><td class="desc">Functions for <a href="https://www.geeksforgeeks.org/modular-division">Modular Division</a> implementation </td></tr>
<tr id="row_55_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d8d/namespacemorse.html" target="_self">morse</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Morse_code">Morse Code</a> </td></tr>
<tr id="row_56_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d36/namespacen__bonacci.html" target="_self">n_bonacci</a></td><td class="desc">Functions for the <a href="http://oeis.org/wiki/N-bonacci_numbers">N-bonacci</a> implementation </td></tr>
<tr id="row_57_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/da1/namespacen__queens.html" target="_self">n_queens</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle">Eight Queens</a> puzzle </td></tr>
<tr id="row_58_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d44/namespacen__queens__all__solutions.html" target="_self">n_queens_all_solutions</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle">Eight Queens</a> puzzle with all solutions </td></tr>
<tr id="row_59_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d14/namespacen__queens__optimized.html" target="_self">n_queens_optimized</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle">Eight Queens</a> puzzle optimized </td></tr>
<tr id="row_60_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/db9/namespacencr__modulo__p.html" target="_self">ncr_modulo_p</a></td><td class="desc">Functions for <a href="https://cp-algorithms.com/combinatorics/binomial-coefficients.html">nCr modulo p</a> implementation </td></tr>
<tr id="row_61_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d2e/namespaceneural__network.html" target="_self">neural_network</a></td><td class="desc">Neural Network or Multilayer Perceptron </td></tr>
<tr id="row_62_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d1/de0/namespacenumerical__methods.html" target="_self">numerical_methods</a></td><td class="desc">For io operations </td></tr>
<tr id="row_63_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_63_" class="arrow" onclick="toggleFolder('63_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/d6d/namespaceoperations__on__datastructures.html" target="_self">operations_on_datastructures</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_63_0_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_63_0_" class="arrow" onclick="toggleFolder('63_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>inorder_traversal_of_bst</b></td><td class="desc"></td></tr>
<tr id="row_63_0_0_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/db5/classoperations__on__datastructures_1_1inorder__traversal__of__bst_1_1_node.html" target="_self">Node</a></td><td class="desc">A <a class="el" href="d5/db5/classoperations__on__datastructures_1_1inorder__traversal__of__bst_1_1_node.html" title="A Node structure representing a single node in BST.">Node</a> structure representing a single node in BST </td></tr>
<tr id="row_63_1_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_63_1_" class="arrow" onclick="toggleFolder('63_1_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>trie_operations</b></td><td class="desc"></td></tr>
<tr id="row_63_1_0_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d0/d5f/classoperations__on__datastructures_1_1trie__operations_1_1_tnode.html" target="_self">Tnode</a></td><td class="desc">Class defining the structure of trie node and containing the methods to perform operations on them </td></tr>
<tr id="row_64_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_64_" class="arrow" onclick="toggleFolder('64_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d6f/namespaceothers.html" target="_self">others</a></td><td class="desc">For <code>vector</code> </td></tr>
<tr id="row_64_0_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_64_0_" class="arrow" onclick="toggleFolder('64_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>iterative_tree_traversals</b></td><td class="desc"></td></tr>
<tr id="row_64_0_0_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/d9a/structothers_1_1iterative__tree__traversals_1_1_node.html" target="_self">Node</a></td><td class="desc">Defines the structure of a node of the tree </td></tr>
<tr id="row_64_0_1_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d9/d12/classothers_1_1iterative__tree__traversals_1_1_binary_tree.html" target="_self">BinaryTree</a></td><td class="desc">Defines the functions associated with the binary tree </td></tr>
<tr id="row_64_1_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_64_1_" class="arrow" onclick="toggleFolder('64_1_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>lru_cache</b></td><td class="desc"></td></tr>
<tr id="row_64_1_0_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d6/dae/classothers_1_1lru__cache_1_1_l_r_u_cache.html" target="_self">LRUCache</a></td><td class="desc">LRU cache class </td></tr>
<tr id="row_64_2_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_64_2_" class="arrow" onclick="toggleFolder('64_2_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>postfix_expression</b></td><td class="desc"></td></tr>
<tr id="row_64_2_0_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d8a/classothers_1_1postfix__expression_1_1_stack.html" target="_self">Stack</a></td><td class="desc">Creates an array to be used as stack for storing values </td></tr>
<tr id="row_65_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d89/namespacepalindrome__partitioning.html" target="_self">palindrome_partitioning</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/palindrome-partitioning-ii/">Palindrome Partitioning</a> algorithm </td></tr>
<tr id="row_66_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d10/namespacepancake__sort.html" target="_self">pancake_sort</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Pancake_sorting">Pancake sort</a> algorithm </td></tr>
<tr id="row_67_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/de6/namespacepostfix__expression.html" target="_self">postfix_expression</a></td><td class="desc">Functions for Postfix Expression algorithm </td></tr>
<tr id="row_68_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/d3b/namespaceqr__algorithm.html" target="_self">qr_algorithm</a></td><td class="desc">Functions to compute <a href="https://en.wikipedia.org/wiki/QR_decomposition">QR decomposition</a> of any rectangular matrix </td></tr>
<tr id="row_69_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_69_" class="arrow" onclick="toggleFolder('69_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/dd2/namespacequadratic__probing.html" target="_self">quadratic_probing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Quadratic_probing">quadratic probing</a> algorithm </td></tr>
<tr id="row_69_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="da/dd1/structquadratic__probing_1_1_entry.html" target="_self">Entry</a></td><td class="desc"></td></tr>
<tr id="row_70_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d70/namespacequeue__using__array.html" target="_self">queue_using_array</a></td><td class="desc">Functions for <a href="https://www.geeksforgeeks.org/array-implementation-of-queue-simple/">Queue using Array</a> implementation </td></tr>
<tr id="row_71_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/dda/namespaceradix__sort.html" target="_self">radix_sort</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Radix_sort">Radix sort</a> algorithm </td></tr>
<tr id="row_72_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d6b/namespacerandom__pivot__quick__sort.html" target="_self">random_pivot_quick_sort</a></td><td class="desc">Functions for the <a href="https://www.sanfoundry.com/cpp-program-implement-quick-sort-using-randomisation">Random Pivot Quick Sort</a> implementation </td></tr>
<tr id="row_73_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_73_" class="arrow" onclick="toggleFolder('73_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d69/namespacerange__queries.html" target="_self">range_queries</a></td><td class="desc">Algorithms and Data Structures that support range queries and updates </td></tr>
<tr id="row_73_0_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_73_0_" class="arrow" onclick="toggleFolder('73_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>heavy_light_decomposition</b></td><td class="desc"></td></tr>
<tr id="row_73_0_0_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html" target="_self">Tree</a></td><td class="desc">A Basic <a class="el" href="d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html" title="A Basic Tree, which supports binary lifting.">Tree</a>, which supports binary lifting </td></tr>
<tr id="row_73_0_1_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html" target="_self">SG</a></td><td class="desc">Segment <a class="el" href="d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html" title="A Basic Tree, which supports binary lifting.">Tree</a>, to store heavy chains </td></tr>
<tr id="row_73_0_2_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html" target="_self">HLD</a></td><td class="desc">The Heavy-Light Decomposition class </td></tr>
<tr id="row_73_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>sparse_table</b></td><td class="desc"></td></tr>
<tr id="row_73_2_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_73_2_" class="arrow" onclick="toggleFolder('73_2_')">&#9658;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/d28/classrange__queries_1_1per_seg_tree.html" target="_self">perSegTree</a></td><td class="desc">Range query here is range sum, but the code can be modified to make different queries like range max or min </td></tr>
<tr id="row_73_2_0_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d66/classrange__queries_1_1per_seg_tree_1_1_node.html" target="_self">Node</a></td><td class="desc"></td></tr>
<tr id="row_74_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d60/namespacerat__maze.html" target="_self">rat_maze</a></td><td class="desc">Functions for &lt;a href="https://www.codesdope.com/blog/article/backtracking-to-
<tr id="row_49_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/dc6/namespacemanacher.html" target="_self">manacher</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Longest_palindromic_substring">Manacher's Algorithm</a> implementation </td></tr>
<tr id="row_50_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_50_" class="arrow" onclick="toggleFolder('50_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d47/namespacemath.html" target="_self">math</a></td><td class="desc">For IO operations </td></tr>
<tr id="row_50_0_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>binomial</b></td><td class="desc"></td></tr>
<tr id="row_50_1_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>fibonacci_sum</b></td><td class="desc"></td></tr>
<tr id="row_50_2_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>linear_recurrence_matrix</b></td><td class="desc"></td></tr>
<tr id="row_50_3_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>modular_division</b></td><td class="desc"></td></tr>
<tr id="row_50_4_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>n_bonacci</b></td><td class="desc"></td></tr>
<tr id="row_50_5_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_50_5_" class="arrow" onclick="toggleFolder('50_5_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>ncr_modulo_p</b></td><td class="desc"></td></tr>
<tr id="row_50_5_0_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html" target="_self">NCRModuloP</a></td><td class="desc">Class which contains all methods required for calculating nCr mod p </td></tr>
<tr id="row_50_6_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>vector_cross</b></td><td class="desc"></td></tr>
<tr id="row_51_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/dd4/namespacemedian__search.html" target="_self">median_search</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Median_search">Median search</a> algorithm </td></tr>
<tr id="row_52_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d0a/namespacemerge__insertion.html" target="_self">merge_insertion</a></td><td class="desc">Combined Intersion-Merge sorting algorithm </td></tr>
<tr id="row_53_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/db8/namespacemincoins__topdown.html" target="_self">mincoins_topdown</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/coin-change/">minimum coin exchange</a> problem </td></tr>
<tr id="row_54_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d12/namespace_minimum.html" target="_self">Minimum</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Edit_distance">Minimum Edit Distance</a> algorithm </td></tr>
<tr id="row_55_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d1/d64/namespacemodular__division.html" target="_self">modular_division</a></td><td class="desc">Functions for <a href="https://www.geeksforgeeks.org/modular-division">Modular Division</a> implementation </td></tr>
<tr id="row_56_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d8d/namespacemorse.html" target="_self">morse</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Morse_code">Morse Code</a> </td></tr>
<tr id="row_57_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d36/namespacen__bonacci.html" target="_self">n_bonacci</a></td><td class="desc">Functions for the <a href="http://oeis.org/wiki/N-bonacci_numbers">N-bonacci</a> implementation </td></tr>
<tr id="row_58_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/da1/namespacen__queens.html" target="_self">n_queens</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle">Eight Queens</a> puzzle </td></tr>
<tr id="row_59_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d44/namespacen__queens__all__solutions.html" target="_self">n_queens_all_solutions</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle">Eight Queens</a> puzzle with all solutions </td></tr>
<tr id="row_60_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d14/namespacen__queens__optimized.html" target="_self">n_queens_optimized</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle">Eight Queens</a> puzzle optimized </td></tr>
<tr id="row_61_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/db9/namespacencr__modulo__p.html" target="_self">ncr_modulo_p</a></td><td class="desc">Functions for <a href="https://cp-algorithms.com/combinatorics/binomial-coefficients.html">nCr modulo p</a> implementation </td></tr>
<tr id="row_62_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d2e/namespaceneural__network.html" target="_self">neural_network</a></td><td class="desc">Neural Network or Multilayer Perceptron </td></tr>
<tr id="row_63_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d1/de0/namespacenumerical__methods.html" target="_self">numerical_methods</a></td><td class="desc">For io operations </td></tr>
<tr id="row_64_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_64_" class="arrow" onclick="toggleFolder('64_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/d6d/namespaceoperations__on__datastructures.html" target="_self">operations_on_datastructures</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_64_0_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_64_0_" class="arrow" onclick="toggleFolder('64_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>inorder_traversal_of_bst</b></td><td class="desc"></td></tr>
<tr id="row_64_0_0_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/db5/classoperations__on__datastructures_1_1inorder__traversal__of__bst_1_1_node.html" target="_self">Node</a></td><td class="desc">A <a class="el" href="d5/db5/classoperations__on__datastructures_1_1inorder__traversal__of__bst_1_1_node.html" title="A Node structure representing a single node in BST.">Node</a> structure representing a single node in BST </td></tr>
<tr id="row_64_1_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_64_1_" class="arrow" onclick="toggleFolder('64_1_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>trie_operations</b></td><td class="desc"></td></tr>
<tr id="row_64_1_0_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d0/d5f/classoperations__on__datastructures_1_1trie__operations_1_1_tnode.html" target="_self">Tnode</a></td><td class="desc">Class defining the structure of trie node and containing the methods to perform operations on them </td></tr>
<tr id="row_65_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_65_" class="arrow" onclick="toggleFolder('65_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d6f/namespaceothers.html" target="_self">others</a></td><td class="desc">For <code>vector</code> </td></tr>
<tr id="row_65_0_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_65_0_" class="arrow" onclick="toggleFolder('65_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>iterative_tree_traversals</b></td><td class="desc"></td></tr>
<tr id="row_65_0_0_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/d9a/structothers_1_1iterative__tree__traversals_1_1_node.html" target="_self">Node</a></td><td class="desc">Defines the structure of a node of the tree </td></tr>
<tr id="row_65_0_1_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d9/d12/classothers_1_1iterative__tree__traversals_1_1_binary_tree.html" target="_self">BinaryTree</a></td><td class="desc">Defines the functions associated with the binary tree </td></tr>
<tr id="row_65_1_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_65_1_" class="arrow" onclick="toggleFolder('65_1_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>lru_cache</b></td><td class="desc"></td></tr>
<tr id="row_65_1_0_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d6/dae/classothers_1_1lru__cache_1_1_l_r_u_cache.html" target="_self">LRUCache</a></td><td class="desc">LRU cache class </td></tr>
<tr id="row_65_2_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_65_2_" class="arrow" onclick="toggleFolder('65_2_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>postfix_expression</b></td><td class="desc"></td></tr>
<tr id="row_65_2_0_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d8a/classothers_1_1postfix__expression_1_1_stack.html" target="_self">Stack</a></td><td class="desc">Creates an array to be used as stack for storing values </td></tr>
<tr id="row_66_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d89/namespacepalindrome__partitioning.html" target="_self">palindrome_partitioning</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/palindrome-partitioning-ii/">Palindrome Partitioning</a> algorithm </td></tr>
<tr id="row_67_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d10/namespacepancake__sort.html" target="_self">pancake_sort</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Pancake_sorting">Pancake sort</a> algorithm </td></tr>
<tr id="row_68_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/de6/namespacepostfix__expression.html" target="_self">postfix_expression</a></td><td class="desc">Functions for Postfix Expression algorithm </td></tr>
<tr id="row_69_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/d3b/namespaceqr__algorithm.html" target="_self">qr_algorithm</a></td><td class="desc">Functions to compute <a href="https://en.wikipedia.org/wiki/QR_decomposition">QR decomposition</a> of any rectangular matrix </td></tr>
<tr id="row_70_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_70_" class="arrow" onclick="toggleFolder('70_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/dd2/namespacequadratic__probing.html" target="_self">quadratic_probing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Quadratic_probing">quadratic probing</a> algorithm </td></tr>
<tr id="row_70_0_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="da/dd1/structquadratic__probing_1_1_entry.html" target="_self">Entry</a></td><td class="desc"></td></tr>
<tr id="row_71_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d70/namespacequeue__using__array.html" target="_self">queue_using_array</a></td><td class="desc">Functions for <a href="https://www.geeksforgeeks.org/array-implementation-of-queue-simple/">Queue using Array</a> implementation </td></tr>
<tr id="row_72_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/dda/namespaceradix__sort.html" target="_self">radix_sort</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Radix_sort">Radix sort</a> algorithm </td></tr>
<tr id="row_73_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d6b/namespacerandom__pivot__quick__sort.html" target="_self">random_pivot_quick_sort</a></td><td class="desc">Functions for the <a href="https://www.sanfoundry.com/cpp-program-implement-quick-sort-using-randomisation">Random Pivot Quick Sort</a> implementation </td></tr>
<tr id="row_74_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_74_" class="arrow" onclick="toggleFolder('74_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d69/namespacerange__queries.html" target="_self">range_queries</a></td><td class="desc">Algorithms and Data Structures that support range queries and updates </td></tr>
<tr id="row_74_0_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_74_0_" class="arrow" onclick="toggleFolder('74_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>heavy_light_decomposition</b></td><td class="desc"></td></tr>
<tr id="row_74_0_0_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html" target="_self">Tree</a></td><td class="desc">A Basic <a class="el" href="d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html" title="A Basic Tree, which supports binary lifting.">Tree</a>, which supports binary lifting </td></tr>
<tr id="row_74_0_1_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html" target="_self">SG</a></td><td class="desc">Segment <a class="el" href="d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html" title="A Basic Tree, which supports binary lifting.">Tree</a>, to store heavy chains </td></tr>
<tr id="row_74_0_2_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html" target="_self">HLD</a></td><td class="desc">The Heavy-Light Decomposition class </td></tr>
<tr id="row_74_1_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>sparse_table</b></td><td class="desc"></td></tr>
<tr id="row_74_2_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_74_2_" class="arrow" onclick="toggleFolder('74_2_')">&#9658;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/d28/classrange__queries_1_1per_seg_tree.html" target="_self">perSegTree</a></td><td class="desc">Range query here is range sum, but the code can be modified to make different queries like range max or min </td></tr>
<tr id="row_74_2_0_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d66/classrange__queries_1_1per_seg_tree_1_1_node.html" target="_self">Node</a></td><td class="desc"></td></tr>
<tr id="row_75_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d60/namespacerat__maze.html" target="_self">rat_maze</a></td><td class="desc">Functions for &lt;a href="https://www.codesdope.com/blog/article/backtracking-to-
solve-a-rat-in-a-maze-c-java-pytho/" </td></tr>
<tr id="row_75_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/de7/namespacerunge__kutta.html" target="_self">runge_kutta</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods">Runge Kutta fourth order</a> method </td></tr>
<tr id="row_76_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/dda/namespacesaddleback.html" target="_self">saddleback</a></td><td class="desc">Function for implementing <a href="https://www.geeksforgeeks.org/saddleback-search-algorithm-in-a-2d-array">Saddleback Algorithm</a> </td></tr>
<tr id="row_77_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_77_" class="arrow" onclick="toggleFolder('77_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/dca/namespacesearch.html" target="_self">search</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_77_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>cycle_detection</b></td><td class="desc"></td></tr>
<tr id="row_77_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>median_search</b></td><td class="desc"></td></tr>
<tr id="row_77_2_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>saddleback</b></td><td class="desc"></td></tr>
<tr id="row_77_3_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_77_3_" class="arrow" onclick="toggleFolder('77_3_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>sublist_search</b></td><td class="desc"></td></tr>
<tr id="row_77_3_0_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="da/d61/structsearch_1_1sublist__search_1_1_node.html" target="_self">Node</a></td><td class="desc">A <a class="el" href="da/d61/structsearch_1_1sublist__search_1_1_node.html" title="A Node structure representing a single link Node in a linked list.">Node</a> structure representing a single link <a class="el" href="da/d61/structsearch_1_1sublist__search_1_1_node.html" title="A Node structure representing a single link Node in a linked list.">Node</a> in a linked list </td></tr>
<tr id="row_78_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/deb/namespaceshortest__common__supersequence.html" target="_self">shortest_common_supersequence</a></td><td class="desc">Shortest Common Super Sequence algorithm </td></tr>
<tr id="row_79_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d91/namespacesorting.html" target="_self">sorting</a></td><td class="desc">Sorting algorithms </td></tr>
<tr id="row_80_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d55/namespacesparse__table.html" target="_self">sparse_table</a></td><td class="desc">Functions for Implementation of <a href="https://brilliant.org/wiki/sparse-table/">Sparse Table</a> </td></tr>
<tr id="row_81_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/dd3/namespacespirograph.html" target="_self">spirograph</a></td><td class="desc"></td></tr>
<tr id="row_82_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_82_" class="arrow" onclick="toggleFolder('82_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/dcf/namespacestatistics.html" target="_self">statistics</a></td><td class="desc">Statistical algorithms </td></tr>
<tr id="row_82_0_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d7/d7c/classstatistics_1_1stats__computer1.html" target="_self">stats_computer1</a></td><td class="desc"></td></tr>
<tr id="row_82_1_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/dab/classstatistics_1_1stats__computer2.html" target="_self">stats_computer2</a></td><td class="desc"></td></tr>
<tr id="row_83_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_83_" class="arrow" onclick="toggleFolder('83_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/dcc/namespacestd.html" target="_self">std</a></td><td class="desc">STL namespace </td></tr>
<tr id="row_83_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>chrono</b></td><td class="desc"></td></tr>
<tr id="row_83_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>experimental</b></td><td class="desc"></td></tr>
<tr id="row_83_2_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>rel_ops</b></td><td class="desc"></td></tr>
<tr id="row_83_3_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>this_thread</b></td><td class="desc"></td></tr>
<tr id="row_83_4_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/dd4/structstd_1_1is__integral_3_01uint128__t_01_4.html" target="_self">is_integral&lt; uint128_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_83_5_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/dfc/structstd_1_1is__arithmetic_3_01uint128__t_01_4.html" target="_self">is_arithmetic&lt; uint128_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_83_6_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d25/structstd_1_1is__unsigned_3_01uint128__t_01_4.html" target="_self">is_unsigned&lt; uint128_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_83_7_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d7/d47/structstd_1_1is__integral_3_01uint256__t_01_4.html" target="_self">is_integral&lt; uint256_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_83_8_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dc/d6d/structstd_1_1is__arithmetic_3_01uint256__t_01_4.html" target="_self">is_arithmetic&lt; uint256_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_83_9_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="df/d99/structstd_1_1is__unsigned_3_01uint256__t_01_4.html" target="_self">is_unsigned&lt; uint256_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_84_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d1d/namespacestrand.html" target="_self">strand</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Strand_sort">Strand Sort</a> algorithm </td></tr>
<tr id="row_85_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d03/namespacestring__search.html" target="_self">string_search</a></td><td class="desc">String search algorithms </td></tr>
<tr id="row_86_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/dcb/namespacestrings.html" target="_self">strings</a></td><td class="desc">Algorithms with strings </td></tr>
<tr id="row_87_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d74/namespacesubarray__sum.html" target="_self">subarray_sum</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem">Subset sum</a> implementation </td></tr>
<tr id="row_88_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/def/namespacesublist__search.html" target="_self">sublist_search</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/sublist-search-search-a-linked-list-in-another-list">Sublist Search</a> implementation </td></tr>
<tr id="row_89_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d95/namespace_subsets.html" target="_self">Subsets</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem">Subset Sum</a> problem </td></tr>
<tr id="row_90_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/dab/namespacetree__234.html" target="_self">tree_234</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/2%E2%80%933%E2%80%934_tree">2–3–4 tree</a> </td></tr>
<tr id="row_91_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d8e/namespacetrie__operations.html" target="_self">trie_operations</a></td><td class="desc">Functions for <a href="https://iq.opengenus.org/autocomplete-using-trie-data-structure/">Trie datastructure</a> implementation </td></tr>
<tr id="row_92_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d0a/namespacetrie__using__hashmap.html" target="_self">trie_using_hashmap</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Trie">Trie</a> data structure using hashmap implementation </td></tr>
<tr id="row_93_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/d17/namespaceutil__functions.html" target="_self">util_functions</a></td><td class="desc">Various utility functions used in Neural network </td></tr>
<tr id="row_94_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d91/namespacevector__cross.html" target="_self">vector_cross</a></td><td class="desc">Functions for Vector Cross Product algorithms </td></tr>
<tr id="row_95_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/da2/namespacevigenere.html" target="_self">vigenere</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Vigen%C3%A8re_cipher">vigenère cipher</a> algorithm </td></tr>
<tr id="row_96_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d21/namespacewave__sort.html" target="_self">wave_sort</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/sort-array-wave-form-2/">Wave sort</a> implementation </td></tr>
<tr id="row_97_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d52/namespacewiggle__sort.html" target="_self">wiggle_sort</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/wiggle-sort-ii/">Wiggle Sort</a> algorithm </td></tr>
<tr id="row_98_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="db/d03/namespacewildcard__matching.html" target="_self">wildcard_matching</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/wildcard-pattern-matching/">Wildcard Matching</a> problem </td></tr>
<tr id="row_99_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d53/namespaceword__break.html" target="_self">word_break</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/word-break/">Word Break</a> problem </td></tr>
<tr id="row_100_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d47/namespace_x_o_r.html" target="_self">XOR</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/XOR_cipher">XOR cipher</a> algorithm </td></tr>
<tr id="row_76_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/de7/namespacerunge__kutta.html" target="_self">runge_kutta</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods">Runge Kutta fourth order</a> method </td></tr>
<tr id="row_77_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/dda/namespacesaddleback.html" target="_self">saddleback</a></td><td class="desc">Function for implementing <a href="https://www.geeksforgeeks.org/saddleback-search-algorithm-in-a-2d-array">Saddleback Algorithm</a> </td></tr>
<tr id="row_78_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_78_" class="arrow" onclick="toggleFolder('78_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/dca/namespacesearch.html" target="_self">search</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_78_0_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>cycle_detection</b></td><td class="desc"></td></tr>
<tr id="row_78_1_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>median_search</b></td><td class="desc"></td></tr>
<tr id="row_78_2_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>saddleback</b></td><td class="desc"></td></tr>
<tr id="row_78_3_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_78_3_" class="arrow" onclick="toggleFolder('78_3_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>sublist_search</b></td><td class="desc"></td></tr>
<tr id="row_78_3_0_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="da/d61/structsearch_1_1sublist__search_1_1_node.html" target="_self">Node</a></td><td class="desc">A <a class="el" href="da/d61/structsearch_1_1sublist__search_1_1_node.html" title="A Node structure representing a single link Node in a linked list.">Node</a> structure representing a single link <a class="el" href="da/d61/structsearch_1_1sublist__search_1_1_node.html" title="A Node structure representing a single link Node in a linked list.">Node</a> in a linked list </td></tr>
<tr id="row_79_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/deb/namespaceshortest__common__supersequence.html" target="_self">shortest_common_supersequence</a></td><td class="desc">Shortest Common Super Sequence algorithm </td></tr>
<tr id="row_80_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d91/namespacesorting.html" target="_self">sorting</a></td><td class="desc">Sorting algorithms </td></tr>
<tr id="row_81_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d55/namespacesparse__table.html" target="_self">sparse_table</a></td><td class="desc">Functions for Implementation of <a href="https://brilliant.org/wiki/sparse-table/">Sparse Table</a> </td></tr>
<tr id="row_82_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/dd3/namespacespirograph.html" target="_self">spirograph</a></td><td class="desc"></td></tr>
<tr id="row_83_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_83_" class="arrow" onclick="toggleFolder('83_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/dcf/namespacestatistics.html" target="_self">statistics</a></td><td class="desc">Statistical algorithms </td></tr>
<tr id="row_83_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d7/d7c/classstatistics_1_1stats__computer1.html" target="_self">stats_computer1</a></td><td class="desc"></td></tr>
<tr id="row_83_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/dab/classstatistics_1_1stats__computer2.html" target="_self">stats_computer2</a></td><td class="desc"></td></tr>
<tr id="row_84_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_84_" class="arrow" onclick="toggleFolder('84_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/dcc/namespacestd.html" target="_self">std</a></td><td class="desc">STL namespace </td></tr>
<tr id="row_84_0_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>chrono</b></td><td class="desc"></td></tr>
<tr id="row_84_1_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>experimental</b></td><td class="desc"></td></tr>
<tr id="row_84_2_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>rel_ops</b></td><td class="desc"></td></tr>
<tr id="row_84_3_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>this_thread</b></td><td class="desc"></td></tr>
<tr id="row_84_4_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/dd4/structstd_1_1is__integral_3_01uint128__t_01_4.html" target="_self">is_integral&lt; uint128_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_84_5_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/dfc/structstd_1_1is__arithmetic_3_01uint128__t_01_4.html" target="_self">is_arithmetic&lt; uint128_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_84_6_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d25/structstd_1_1is__unsigned_3_01uint128__t_01_4.html" target="_self">is_unsigned&lt; uint128_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_84_7_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d7/d47/structstd_1_1is__integral_3_01uint256__t_01_4.html" target="_self">is_integral&lt; uint256_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_84_8_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dc/d6d/structstd_1_1is__arithmetic_3_01uint256__t_01_4.html" target="_self">is_arithmetic&lt; uint256_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_84_9_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="df/d99/structstd_1_1is__unsigned_3_01uint256__t_01_4.html" target="_self">is_unsigned&lt; uint256_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_85_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d1d/namespacestrand.html" target="_self">strand</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Strand_sort">Strand Sort</a> algorithm </td></tr>
<tr id="row_86_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d03/namespacestring__search.html" target="_self">string_search</a></td><td class="desc">String search algorithms </td></tr>
<tr id="row_87_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/dcb/namespacestrings.html" target="_self">strings</a></td><td class="desc">Algorithms with strings </td></tr>
<tr id="row_88_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d74/namespacesubarray__sum.html" target="_self">subarray_sum</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem">Subset sum</a> implementation </td></tr>
<tr id="row_89_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/def/namespacesublist__search.html" target="_self">sublist_search</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/sublist-search-search-a-linked-list-in-another-list">Sublist Search</a> implementation </td></tr>
<tr id="row_90_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d95/namespace_subsets.html" target="_self">Subsets</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem">Subset Sum</a> problem </td></tr>
<tr id="row_91_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/dab/namespacetree__234.html" target="_self">tree_234</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/2%E2%80%933%E2%80%934_tree">2–3–4 tree</a> </td></tr>
<tr id="row_92_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d8e/namespacetrie__operations.html" target="_self">trie_operations</a></td><td class="desc">Functions for <a href="https://iq.opengenus.org/autocomplete-using-trie-data-structure/">Trie datastructure</a> implementation </td></tr>
<tr id="row_93_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d0a/namespacetrie__using__hashmap.html" target="_self">trie_using_hashmap</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Trie">Trie</a> data structure using hashmap implementation </td></tr>
<tr id="row_94_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/d17/namespaceutil__functions.html" target="_self">util_functions</a></td><td class="desc">Various utility functions used in Neural network </td></tr>
<tr id="row_95_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d91/namespacevector__cross.html" target="_self">vector_cross</a></td><td class="desc">Functions for Vector Cross Product algorithms </td></tr>
<tr id="row_96_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/da2/namespacevigenere.html" target="_self">vigenere</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Vigen%C3%A8re_cipher">vigenère cipher</a> algorithm </td></tr>
<tr id="row_97_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d21/namespacewave__sort.html" target="_self">wave_sort</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/sort-array-wave-form-2/">Wave sort</a> implementation </td></tr>
<tr id="row_98_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d52/namespacewiggle__sort.html" target="_self">wiggle_sort</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/wiggle-sort-ii/">Wiggle Sort</a> algorithm </td></tr>
<tr id="row_99_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="db/d03/namespacewildcard__matching.html" target="_self">wildcard_matching</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/wildcard-pattern-matching/">Wildcard Matching</a> problem </td></tr>
<tr id="row_100_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d53/namespaceword__break.html" target="_self">word_break</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/word-break/">Word Break</a> problem </td></tr>
<tr id="row_101_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d47/namespace_x_o_r.html" target="_self">XOR</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/XOR_cipher">XOR cipher</a> algorithm </td></tr>
</table>
</div><!-- directory -->
</div><!-- contents -->

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