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<p>Program to calculate <a href="https://en.wikipedia.org/wiki/Binomial_coefficient">Binomial coefficients</a>
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<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
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<tr class="memitem:a483bb8ccf42aaf7375a83e91490eda1e"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/db1/binomial__calculate_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a> ()</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Program to calculate <a href="https://en.wikipedia.org/wiki/Binomial_coefficient">Binomial coefficients</a> </p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/astronmax">astronmax</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="aae407a2a13362c4c64fbe509ff325978"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aae407a2a13362c4c64fbe509ff325978">&#9670;&nbsp;</a></span>calculate()</h2>
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<td class="memname">size_t math::binomial::calculate </td>
<td>(</td>
<td class="paramtype">int32_t&#160;</td>
<td class="paramname"><em>n</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int32_t&#160;</td>
<td class="paramname"><em>k</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<p>Function to calculate binomial coefficients. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">n</td><td>first value </td></tr>
<tr><td class="paramname">k</td><td>second value </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>binomial coefficient for n and k </dd></dl>
<div class="fragment"><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; {</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; <span class="comment">// basic cases</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; <span class="keywordflow">if</span> (k &gt; (n / 2))</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; k = n - k;</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; <span class="keywordflow">if</span> (k == 1)</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; <span class="keywordflow">return</span> n;</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; <span class="keywordflow">if</span> (k == 0)</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; <span class="keywordflow">return</span> 1;</div>
<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="keywordtype">size_t</span> <a class="code" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> = 1;</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <span class="keywordflow">for</span> (int32_t i = 1; i &lt;= k; ++i) {</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; <a class="code" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> *= n - k + i;</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; <a class="code" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> /= i;</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; }</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; </div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; <span class="keywordflow">return</span> <a class="code" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>;</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;}</div>
<div class="ttc" id="afibonacci__sum_8cpp_html_aadb40ac4c74a7efc0680b83eeee138aa"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">math::fibonacci_sum::result</a></div><div class="ttdeci">uint64_t result(uint64_t n)</div><div class="ttdef"><b>Definition:</b> fibonacci_sum.cpp:76</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#ac0f2228420376f4db7e1274f2b41667c">&#9670;&nbsp;</a></span>main()</h2>
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<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>argc</em>, </td>
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<td></td>
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<p>Main function. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">argc</td><td>commandline argument count </td></tr>
<tr><td class="paramname">argv</td><td>commandline array of arguments </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; {</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <a class="code" href="../../d8/db1/binomial__calculate_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; </div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; <span class="keywordflow">if</span> (argc &lt; 3) {</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</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;Usage ./binomial_calculate {n} {k}&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="l00084"></a><span class="lineno"> 84</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; }</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; </div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; int32_t n = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/atoi.html">atoi</a>(argv[1]);</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; int32_t k = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/atoi.html">atoi</a>(argv[2]);</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; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="code" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(n, k) &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="l00091"></a><span class="lineno"> 91</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160;}</div>
<div class="ttc" id="aatoi_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/byte/atoi.html">std::atoi</a></div><div class="ttdeci">T atoi(T... args)</div></div>
<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
<div class="ttc" id="abinomial__calculate_8cpp_html_a483bb8ccf42aaf7375a83e91490eda1e"><div class="ttname"><a href="../../d8/db1/binomial__calculate_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a></div><div class="ttdeci">static void tests()</div><div class="ttdoc">Test implementations.</div><div class="ttdef"><b>Definition:</b> binomial_calculate.cpp:56</div></div>
<div class="ttc" id="abinomial__calculate_8cpp_html_aae407a2a13362c4c64fbe509ff325978"><div class="ttname"><a href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a></div><div class="ttdeci">size_t calculate(int32_t n, int32_t k)</div><div class="ttdoc">Function to calculate binomial coefficients.</div><div class="ttdef"><b>Definition:</b> binomial_calculate.cpp:32</div></div>
<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
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<td></td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; {</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; <span class="comment">// tests for calculate function</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; assert(math::binomial::calculate(1, 1) == 1);</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; assert(math::binomial::calculate(57, 57) == 1);</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; assert(math::binomial::calculate(6, 3) == 20);</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; assert(math::binomial::calculate(10, 5) == 252);</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; assert(math::binomial::calculate(20, 10) == 184756);</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; assert(math::binomial::calculate(30, 15) == 155117520);</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; assert(math::binomial::calculate(40, 20) == 137846528820);</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; assert(math::binomial::calculate(50, 25) == 126410606437752);</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; assert(math::binomial::calculate(60, 30) == 118264581564861424);</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; assert(math::binomial::calculate(62, 31) == 465428353255261088);</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; </div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</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;[+] Binomial coefficients calculate test completed&quot;</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; &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="l00071"></a><span class="lineno"> 71</span>&#160;}</div>
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<tr id="row_12_4_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="db/d93/check__prime_8cpp.html" target="_self">check_prime.cpp</a></td><td class="desc">Reduced all possibilities of a number which cannot be prime. Eg: No even number, except 2 can be a prime number, hence we will increment our loop with i+2 jumping on all odd numbers only. If number is &lt;= 1 or if it is even except 2, break the loop and return false telling number is not prime </td></tr>
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<tr id="row_12_9_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/d00/factorial_8cpp.html" target="_self">factorial.cpp</a></td><td class="desc">C++ program to find factorial of given number </td></tr>
<tr id="row_12_10_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d2/d0b/fast__power_8cpp.html" target="_self">fast_power.cpp</a></td><td class="desc">Faster computation for \(a^b\) </td></tr>
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<tr id="row_12_12_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d32/fibonacci__fast_8cpp.html" target="_self">fibonacci_fast.cpp</a></td><td class="desc">Faster computation of Fibonacci series </td></tr>
<tr id="row_12_13_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/de4/fibonacci__large_8cpp.html" target="_self">fibonacci_large.cpp</a></td><td class="desc">Computes N^th Fibonacci number given as input argument. Uses custom build arbitrary integers library to perform additions and other operations </td></tr>
<tr id="row_12_14_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="da/dc9/fibonacci__matrix__exponentiation_8cpp.html" target="_self">fibonacci_matrix_exponentiation.cpp</a></td><td class="desc">This program computes the N^th Fibonacci number in modulo mod input argument </td></tr>
<tr id="row_12_15_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/dc3/fibonacci__sum_8cpp.html" target="_self">fibonacci_sum.cpp</a></td><td class="desc">An algorithm to calculate the sum of <a href="https://en.wikipedia.org/wiki/Fibonacci_number">Fibonacci Sequence</a>: \(\mathrm{F}(n) + \mathrm{F}(n+1) + .. + \mathrm{F}(m)\) </td></tr>
<tr id="row_12_16_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/da0/gcd__iterative__euclidean_8cpp.html" target="_self">gcd_iterative_euclidean.cpp</a></td><td class="desc">Compute the greatest common denominator of two integers using <em>iterative form</em> of <a href="https://en.wikipedia.org/wiki/Euclidean_algorithm">Euclidean algorithm</a> </td></tr>
<tr id="row_12_17_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d1/d11/gcd__of__n__numbers_8cpp.html" target="_self">gcd_of_n_numbers.cpp</a></td><td class="desc">This program aims at calculating the GCD of n numbers by division method </td></tr>
<tr id="row_12_18_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d45/gcd__recursive__euclidean_8cpp.html" target="_self">gcd_recursive_euclidean.cpp</a></td><td class="desc">Compute the greatest common denominator of two integers using <em>recursive form</em> of <a href="https://en.wikipedia.org/wiki/Euclidean_algorithm">Euclidean algorithm</a> </td></tr>
<tr id="row_12_19_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d6/d9d/large__factorial_8cpp.html" target="_self">large_factorial.cpp</a></td><td class="desc">Compute factorial of any arbitratily large number/ </td></tr>
<tr id="row_12_20_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><a href="d4/d86/large__number_8h_source.html"><span class="icondoc"></span></a><a class="el" href="d4/d86/large__number_8h.html" target="_self">large_number.h</a></td><td class="desc">Library to perform arithmatic operations on arbitrarily large numbers </td></tr>
<tr id="row_12_21_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d5/d7a/largest__power_8cpp.html" target="_self">largest_power.cpp</a></td><td class="desc">Algorithm to find largest x such that p^x divides n! (factorial) using Legendre's Formula </td></tr>
<tr id="row_12_22_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d5/d83/lcm__sum_8cpp.html" target="_self">lcm_sum.cpp</a></td><td class="desc">An algorithm to calculate the sum of LCM: \(\mathrm{LCM}(1,n) + \mathrm{LCM}(2,n) + \ldots + \mathrm{LCM}(n,n)\) </td></tr>
<tr id="row_12_23_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d21/least__common__multiple_8cpp.html" target="_self">least_common_multiple.cpp</a></td><td class="desc"></td></tr>
<tr id="row_12_24_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/d44/magic__number_8cpp.html" target="_self">magic_number.cpp</a></td><td class="desc">A simple program to check if the given number is a magic number or not. A number is said to be a magic number, if the sum of its digits are calculated till a single digit recursively by adding the sum of the digits after every addition. If the single digit comes out to be 1,then the number is a magic number </td></tr>
<tr id="row_12_25_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d6/d42/miller__rabin_8cpp.html" target="_self">miller_rabin.cpp</a></td><td class="desc"></td></tr>
<tr id="row_12_26_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/d72/modular__division_8cpp.html" target="_self">modular_division.cpp</a></td><td class="desc">An algorithm to divide two numbers under modulo p <a href="https://www.geeksforgeeks.org/modular-division">Modular Division</a> </td></tr>
<tr id="row_12_27_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d0/d6d/modular__exponentiation_8cpp.html" target="_self">modular_exponentiation.cpp</a></td><td class="desc">C++ Program for Modular Exponentiation Iteratively </td></tr>
<tr id="row_12_28_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d8/d53/modular__inverse__fermat__little__theorem_8cpp.html" target="_self">modular_inverse_fermat_little_theorem.cpp</a></td><td class="desc">C++ Program to find the modular inverse using <a href="https://en.wikipedia.org/wiki/Fermat%27s_little_theorem">Fermat's Little Theorem</a> </td></tr>
<tr id="row_12_29_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d1/dbb/n__choose__r_8cpp.html" target="_self">n_choose_r.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Combination">Combinations</a> n choose r function implementation </td></tr>
<tr id="row_12_30_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/dab/ncr__modulo__p_8cpp.html" target="_self">ncr_modulo_p.cpp</a></td><td class="desc">This program aims at calculating <a href="https://cp-algorithms.com/combinatorics/binomial-coefficients.html">nCr modulo p</a> </td></tr>
<tr id="row_12_31_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d0/da2/number__of__positive__divisors_8cpp.html" target="_self">number_of_positive_divisors.cpp</a></td><td class="desc">C++ Program to calculate the number of positive divisors </td></tr>
<tr id="row_12_32_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/def/power__for__huge__numbers_8cpp.html" target="_self">power_for_huge_numbers.cpp</a></td><td class="desc">Compute powers of large numbers </td></tr>
<tr id="row_12_33_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d38/power__of__two_8cpp.html" target="_self">power_of_two.cpp</a></td><td class="desc">Implementation to check whether a number is a power of 2 or not </td></tr>
<tr id="row_12_34_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="db/d0d/prime__factorization_8cpp.html" target="_self">prime_factorization.cpp</a></td><td class="desc">Prime factorization of positive integers </td></tr>
<tr id="row_12_35_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/d9b/prime__numbers_8cpp.html" target="_self">prime_numbers.cpp</a></td><td class="desc">Get list of prime numbers </td></tr>
<tr id="row_12_36_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d9c/primes__up__to__billion_8cpp.html" target="_self">primes_up_to_billion.cpp</a></td><td class="desc">Compute prime numbers upto 1 billion </td></tr>
<tr id="row_12_37_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d0/d08/realtime__stats_8cpp.html" target="_self">realtime_stats.cpp</a></td><td class="desc">Compute statistics for data entered in rreal-time </td></tr>
<tr id="row_12_38_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html" target="_self">sieve_of_eratosthenes.cpp</a></td><td class="desc">Get list of prime numbers using Sieve of Eratosthenes </td></tr>
<tr id="row_12_39_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="da/d24/sqrt__double_8cpp.html" target="_self">sqrt_double.cpp</a></td><td class="desc">Calculate the square root of any positive real number in \(O(\log N)\) time, with precision fixed using <a href="https://en.wikipedia.org/wiki/Bisection_method">bisection method</a> of root-finding </td></tr>
<tr id="row_12_40_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/d47/string__fibonacci_8cpp.html" target="_self">string_fibonacci.cpp</a></td><td class="desc">This Programme returns the Nth fibonacci as a string </td></tr>
<tr id="row_12_41_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d9d/sum__of__binomial__coefficient_8cpp.html" target="_self">sum_of_binomial_coefficient.cpp</a></td><td class="desc">Algorithm to find sum of binomial coefficients of a given positive integer </td></tr>
<tr id="row_12_42_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d83/sum__of__digits_8cpp.html" target="_self">sum_of_digits.cpp</a></td><td class="desc">A C++ Program to find the Sum of Digits of input integer </td></tr>
<tr id="row_12_43_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/d66/vector__cross__product_8cpp.html" target="_self">vector_cross_product.cpp</a></td><td class="desc">Calculates the <a href="https://en.wikipedia.org/wiki/Cross_product">Cross Product</a> and the magnitude of two mathematical 3D vectors </td></tr>
<tr id="row_12_2_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d8/db1/binomial__calculate_8cpp.html" target="_self">binomial_calculate.cpp</a></td><td class="desc">Program to calculate <a href="https://en.wikipedia.org/wiki/Binomial_coefficient">Binomial coefficients</a> </td></tr>
<tr id="row_12_3_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d5/df6/check__amicable__pair_8cpp.html" target="_self">check_amicable_pair.cpp</a></td><td class="desc">A C++ Program to check whether a pair of number is <a href="https://en.wikipedia.org/wiki/Amicable_numbers">amicable pair</a> or not </td></tr>
<tr id="row_12_4_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d8/dd5/check__factorial_8cpp.html" target="_self">check_factorial.cpp</a></td><td class="desc">A simple program to check if the given number is a factorial of some number or not </td></tr>
<tr id="row_12_5_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="db/d93/check__prime_8cpp.html" target="_self">check_prime.cpp</a></td><td class="desc">Reduced all possibilities of a number which cannot be prime. Eg: No even number, except 2 can be a prime number, hence we will increment our loop with i+2 jumping on all odd numbers only. If number is &lt;= 1 or if it is even except 2, break the loop and return false telling number is not prime </td></tr>
<tr id="row_12_6_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d5/d67/complex__numbers_8cpp.html" target="_self">complex_numbers.cpp</a></td><td class="desc">An implementation of <a class="el" href="da/d5a/class_complex.html" title="Class Complex to represent complex numbers as a field.">Complex</a> Number as Objects </td></tr>
<tr id="row_12_7_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d7/d89/double__factorial_8cpp.html" target="_self">double_factorial.cpp</a></td><td class="desc">Compute <a href="https://en.wikipedia.org/wiki/Double_factorial">double factorial</a>: \(n!!\) </td></tr>
<tr id="row_12_8_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="da/d23/eulers__totient__function_8cpp.html" target="_self">eulers_totient_function.cpp</a></td><td class="desc">C++ Program to find <a href="https://en.wikipedia.org/wiki/Euler%27s_totient_function">Euler's Totient</a> function </td></tr>
<tr id="row_12_9_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/d5d/extended__euclid__algorithm_8cpp.html" target="_self">extended_euclid_algorithm.cpp</a></td><td class="desc">GCD using <a href="https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm">extended Euclid's algorithm</a> </td></tr>
<tr id="row_12_10_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/d00/factorial_8cpp.html" target="_self">factorial.cpp</a></td><td class="desc">C++ program to find factorial of given number </td></tr>
<tr id="row_12_11_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d2/d0b/fast__power_8cpp.html" target="_self">fast_power.cpp</a></td><td class="desc">Faster computation for \(a^b\) </td></tr>
<tr id="row_12_12_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/d89/fibonacci_8cpp.html" target="_self">fibonacci.cpp</a></td><td class="desc">Generate fibonacci sequence </td></tr>
<tr id="row_12_13_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d32/fibonacci__fast_8cpp.html" target="_self">fibonacci_fast.cpp</a></td><td class="desc">Faster computation of Fibonacci series </td></tr>
<tr id="row_12_14_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/de4/fibonacci__large_8cpp.html" target="_self">fibonacci_large.cpp</a></td><td class="desc">Computes N^th Fibonacci number given as input argument. Uses custom build arbitrary integers library to perform additions and other operations </td></tr>
<tr id="row_12_15_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="da/dc9/fibonacci__matrix__exponentiation_8cpp.html" target="_self">fibonacci_matrix_exponentiation.cpp</a></td><td class="desc">This program computes the N^th Fibonacci number in modulo mod input argument </td></tr>
<tr id="row_12_16_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/dc3/fibonacci__sum_8cpp.html" target="_self">fibonacci_sum.cpp</a></td><td class="desc">An algorithm to calculate the sum of <a href="https://en.wikipedia.org/wiki/Fibonacci_number">Fibonacci Sequence</a>: \(\mathrm{F}(n) + \mathrm{F}(n+1) + .. + \mathrm{F}(m)\) </td></tr>
<tr id="row_12_17_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/da0/gcd__iterative__euclidean_8cpp.html" target="_self">gcd_iterative_euclidean.cpp</a></td><td class="desc">Compute the greatest common denominator of two integers using <em>iterative form</em> of <a href="https://en.wikipedia.org/wiki/Euclidean_algorithm">Euclidean algorithm</a> </td></tr>
<tr id="row_12_18_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d1/d11/gcd__of__n__numbers_8cpp.html" target="_self">gcd_of_n_numbers.cpp</a></td><td class="desc">This program aims at calculating the GCD of n numbers by division method </td></tr>
<tr id="row_12_19_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d45/gcd__recursive__euclidean_8cpp.html" target="_self">gcd_recursive_euclidean.cpp</a></td><td class="desc">Compute the greatest common denominator of two integers using <em>recursive form</em> of <a href="https://en.wikipedia.org/wiki/Euclidean_algorithm">Euclidean algorithm</a> </td></tr>
<tr id="row_12_20_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d6/d9d/large__factorial_8cpp.html" target="_self">large_factorial.cpp</a></td><td class="desc">Compute factorial of any arbitratily large number/ </td></tr>
<tr id="row_12_21_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><a href="d4/d86/large__number_8h_source.html"><span class="icondoc"></span></a><a class="el" href="d4/d86/large__number_8h.html" target="_self">large_number.h</a></td><td class="desc">Library to perform arithmatic operations on arbitrarily large numbers </td></tr>
<tr id="row_12_22_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d5/d7a/largest__power_8cpp.html" target="_self">largest_power.cpp</a></td><td class="desc">Algorithm to find largest x such that p^x divides n! (factorial) using Legendre's Formula </td></tr>
<tr id="row_12_23_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d5/d83/lcm__sum_8cpp.html" target="_self">lcm_sum.cpp</a></td><td class="desc">An algorithm to calculate the sum of LCM: \(\mathrm{LCM}(1,n) + \mathrm{LCM}(2,n) + \ldots + \mathrm{LCM}(n,n)\) </td></tr>
<tr id="row_12_24_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d21/least__common__multiple_8cpp.html" target="_self">least_common_multiple.cpp</a></td><td class="desc"></td></tr>
<tr id="row_12_25_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/d44/magic__number_8cpp.html" target="_self">magic_number.cpp</a></td><td class="desc">A simple program to check if the given number is a magic number or not. A number is said to be a magic number, if the sum of its digits are calculated till a single digit recursively by adding the sum of the digits after every addition. If the single digit comes out to be 1,then the number is a magic number </td></tr>
<tr id="row_12_26_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d6/d42/miller__rabin_8cpp.html" target="_self">miller_rabin.cpp</a></td><td class="desc"></td></tr>
<tr id="row_12_27_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/d72/modular__division_8cpp.html" target="_self">modular_division.cpp</a></td><td class="desc">An algorithm to divide two numbers under modulo p <a href="https://www.geeksforgeeks.org/modular-division">Modular Division</a> </td></tr>
<tr id="row_12_28_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d0/d6d/modular__exponentiation_8cpp.html" target="_self">modular_exponentiation.cpp</a></td><td class="desc">C++ Program for Modular Exponentiation Iteratively </td></tr>
<tr id="row_12_29_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d8/d53/modular__inverse__fermat__little__theorem_8cpp.html" target="_self">modular_inverse_fermat_little_theorem.cpp</a></td><td class="desc">C++ Program to find the modular inverse using <a href="https://en.wikipedia.org/wiki/Fermat%27s_little_theorem">Fermat's Little Theorem</a> </td></tr>
<tr id="row_12_30_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d1/dbb/n__choose__r_8cpp.html" target="_self">n_choose_r.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Combination">Combinations</a> n choose r function implementation </td></tr>
<tr id="row_12_31_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/dab/ncr__modulo__p_8cpp.html" target="_self">ncr_modulo_p.cpp</a></td><td class="desc">This program aims at calculating <a href="https://cp-algorithms.com/combinatorics/binomial-coefficients.html">nCr modulo p</a> </td></tr>
<tr id="row_12_32_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d0/da2/number__of__positive__divisors_8cpp.html" target="_self">number_of_positive_divisors.cpp</a></td><td class="desc">C++ Program to calculate the number of positive divisors </td></tr>
<tr id="row_12_33_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/def/power__for__huge__numbers_8cpp.html" target="_self">power_for_huge_numbers.cpp</a></td><td class="desc">Compute powers of large numbers </td></tr>
<tr id="row_12_34_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d38/power__of__two_8cpp.html" target="_self">power_of_two.cpp</a></td><td class="desc">Implementation to check whether a number is a power of 2 or not </td></tr>
<tr id="row_12_35_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="db/d0d/prime__factorization_8cpp.html" target="_self">prime_factorization.cpp</a></td><td class="desc">Prime factorization of positive integers </td></tr>
<tr id="row_12_36_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/d9b/prime__numbers_8cpp.html" target="_self">prime_numbers.cpp</a></td><td class="desc">Get list of prime numbers </td></tr>
<tr id="row_12_37_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d9c/primes__up__to__billion_8cpp.html" target="_self">primes_up_to_billion.cpp</a></td><td class="desc">Compute prime numbers upto 1 billion </td></tr>
<tr id="row_12_38_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d0/d08/realtime__stats_8cpp.html" target="_self">realtime_stats.cpp</a></td><td class="desc">Compute statistics for data entered in rreal-time </td></tr>
<tr id="row_12_39_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html" target="_self">sieve_of_eratosthenes.cpp</a></td><td class="desc">Get list of prime numbers using Sieve of Eratosthenes </td></tr>
<tr id="row_12_40_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="da/d24/sqrt__double_8cpp.html" target="_self">sqrt_double.cpp</a></td><td class="desc">Calculate the square root of any positive real number in \(O(\log N)\) time, with precision fixed using <a href="https://en.wikipedia.org/wiki/Bisection_method">bisection method</a> of root-finding </td></tr>
<tr id="row_12_41_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/d47/string__fibonacci_8cpp.html" target="_self">string_fibonacci.cpp</a></td><td class="desc">This Programme returns the Nth fibonacci as a string </td></tr>
<tr id="row_12_42_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d9d/sum__of__binomial__coefficient_8cpp.html" target="_self">sum_of_binomial_coefficient.cpp</a></td><td class="desc">Algorithm to find sum of binomial coefficients of a given positive integer </td></tr>
<tr id="row_12_43_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d83/sum__of__digits_8cpp.html" target="_self">sum_of_digits.cpp</a></td><td class="desc">A C++ Program to find the Sum of Digits of input integer </td></tr>
<tr id="row_12_44_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/d66/vector__cross__product_8cpp.html" target="_self">vector_cross_product.cpp</a></td><td class="desc">Calculates the <a href="https://en.wikipedia.org/wiki/Cross_product">Cross Product</a> and the magnitude of two mathematical 3D vectors </td></tr>
<tr id="row_13_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_13_" class="arrow" onclick="toggleFolder('13_')">&#9658;</span><span id="img_13_" class="iconfclosed" onclick="toggleFolder('13_')">&#160;</span><a class="el" href="dir_9c6faab82c22511b50177aa2e38e2780.html" target="_self">numerical_methods</a></td><td class="desc"></td></tr>
<tr id="row_13_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d7/d6a/bisection__method_8cpp.html" target="_self">bisection_method.cpp</a></td><td class="desc">Solve the equation \(f(x)=0\) using <a href="https://en.wikipedia.org/wiki/Bisection_method">bisection method</a> </td></tr>
<tr id="row_13_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="db/d01/brent__method__extrema_8cpp.html" target="_self">brent_method_extrema.cpp</a></td><td class="desc">Find real extrema of a univariate real function in a given interval using <a href="https://en.wikipedia.org/wiki/Brent%27s_method">Brent's method</a> </td></tr>

1
globals_func_m.html
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6
globals_i.html
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<li>IsPrime()
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</li>
<li>isprime
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</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="db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">prime_factorization.cpp</a>
</li>
<li>it_ternary_search()
: <a class="el" href="dc/dfe/ternary__search_8cpp.html#ae30dfe2894191bfeffe5b3b1854b95b0">ternary_search.cpp</a>
</li>

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globals_m.html
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, <a class="el" href="d5/df6/check__amicable__pair_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">check_amicable_pair.cpp</a>
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6
globals_p.html
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@@ -130,12 +130,12 @@ $(document).ready(function(){initNavTree('globals_p.html',''); initResizable();
<li>predict_OLS_regressor()
: <a class="el" href="dc/d38/ordinary__least__squares__regressor_8cpp.html#a4bcaaf41c66da4d3a471dacef133def7">ordinary_least_squares_regressor.cpp</a>
</li>
<li>prime
: <a class="el" href="d4/d9c/primes__up__to__billion_8cpp.html#ac0f4b77b901ddb15dab4c4dee1ac6e95">primes_up_to_billion.cpp</a>
</li>
<li>PRIME
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</li>
<li>prime
: <a class="el" href="d4/d9c/primes__up__to__billion_8cpp.html#ac0f4b77b901ddb15dab4c4dee1ac6e95">primes_up_to_billion.cpp</a>
</li>
<li>prime_factorization()
: <a class="el" href="db/d0d/prime__factorization_8cpp.html#a0ece0145fb29a5cf48378c23dde2da46">prime_factorization.cpp</a>
</li>

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, <a class="el" href="d7/d89/double__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">double_factorial.cpp</a>

12
namespacemembers.html
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<li>isPossible()
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</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>
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<li>quickSort()
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<li>quicksort()
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<li>quickSort()
: <a class="el" href="d5/d91/namespacesorting.html#a50b66a1c652291b9a346ec7342967178">sorting</a>
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namespacemembers_func.html
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<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()
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</li>
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<li>quickSort()
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</li>
<li>quicksort()
: <a class="el" href="d5/d91/namespacesorting.html#a9f59fe72dacc1f1218ef3c303d843168">sorting</a>
</li>
<li>quickSort()
: <a class="el" href="d5/d91/namespacesorting.html#a50b66a1c652291b9a346ec7342967178">sorting</a>
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254
namespaces.html
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<tr id="row_1_"><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/dc0/namespacebacktracking.html" target="_self">backtracking</a></td><td class="desc">Backtracking algorithms </td></tr>
<tr id="row_2_" 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/d13/namespacebidirectional__dijkstra.html" target="_self">bidirectional_dijkstra</a></td><td class="desc">Functions for <a href="https://www.coursera.org/learn/algorithms-on-graphs/lecture/7ml18/bidirectional-dijkstra">Bidirectional Dijkstra Shortest Path</a> algorithm </td></tr>
<tr id="row_3_"><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/d81/namespacebit__manipulation.html" target="_self">bit_manipulation</a></td><td class="desc">For io operations </td></tr>
<tr id="row_4_" 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="dd/d81/namespacecaesar.html" target="_self">caesar</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Caesar_cipher">Caesar cipher</a> algorithm </td></tr>
<tr id="row_5_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_5_" class="arrow" onclick="toggleFolder('5_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d4e/namespaceciphers.html" target="_self">ciphers</a></td><td class="desc">Algorithms for encryption and decryption </td></tr>
<tr id="row_5_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>caesar</b></td><td class="desc"></td></tr>
<tr id="row_5_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>morse</b></td><td class="desc"></td></tr>
<tr id="row_5_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>vigenere</b></td><td class="desc"></td></tr>
<tr id="row_5_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>XOR</b></td><td class="desc"></td></tr>
<tr id="row_5_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="d6/d26/classciphers_1_1_hill_cipher.html" target="_self">HillCipher</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Hill_cipher">Hill Cipher</a> algorithm </td></tr>
<tr id="row_6_" 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/d36/namespacecut__rod.html" target="_self">cut_rod</a></td><td class="desc">Implementation of cutting a rod problem </td></tr>
<tr id="row_7_"><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/dfb/namespacecycle__sort.html" target="_self">cycle_sort</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Cycle_sort">Cycle sort</a> algorithm </td></tr>
<tr id="row_8_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_8_" class="arrow" onclick="toggleFolder('8_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d3c/namespacedata__structures.html" target="_self">data_structures</a></td><td class="desc">Data Structures algorithms </td></tr>
<tr id="row_8_0_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_8_0_" class="arrow" onclick="toggleFolder('8_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>linked_list</b></td><td class="desc"></td></tr>
<tr id="row_8_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="de/d9d/classdata__structures_1_1linked__list_1_1link.html" target="_self">link</a></td><td class="desc"></td></tr>
<tr id="row_8_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="d1/def/classdata__structures_1_1linked__list_1_1list.html" target="_self">list</a></td><td class="desc"></td></tr>
<tr id="row_8_1_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_8_1_" class="arrow" onclick="toggleFolder('8_1_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>list_array</b></td><td class="desc"></td></tr>
<tr id="row_8_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="d5/dab/structdata__structures_1_1list__array_1_1list.html" target="_self">list</a></td><td class="desc">Structure of List with supporting methods </td></tr>
<tr id="row_8_2_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_8_2_" class="arrow" onclick="toggleFolder('8_2_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>queue_using_array</b></td><td class="desc"></td></tr>
<tr id="row_8_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="d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html" target="_self">Queue_Array</a></td><td class="desc"><a class="el" href="d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html" title="Queue_Array class containing the main data and also index of head and tail of the array.">Queue_Array</a> class containing the main data and also index of head and tail of the array </td></tr>
<tr id="row_8_3_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_8_3_" class="arrow" onclick="toggleFolder('8_3_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>tree_234</b></td><td class="desc"></td></tr>
<tr id="row_8_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="dd/d40/classdata__structures_1_1tree__234_1_1_node.html" target="_self">Node</a></td><td class="desc">2-3-4 tree node class </td></tr>
<tr id="row_8_3_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="d3/d95/classdata__structures_1_1tree__234_1_1_tree234.html" target="_self">Tree234</a></td><td class="desc">2-3-4 tree class </td></tr>
<tr id="row_8_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="d9/d49/structdata__structures_1_1_node.html" target="_self">Node</a></td><td class="desc"></td></tr>
<tr id="row_8_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="d4/d90/classdata__structures_1_1_skip_list.html" target="_self">SkipList</a></td><td class="desc"></td></tr>
<tr id="row_8_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="d0/d3e/classdata__structures_1_1trie.html" target="_self">trie</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Trie">Trie</a> implementation for small-case English alphabets <code>a-z</code> </td></tr>
<tr id="row_9_"><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/da7/namespacedepth__first__search.html" target="_self">depth_first_search</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Depth-first_search">Depth First Search</a> algorithm </td></tr>
<tr id="row_10_" 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/db4/namespacedisjoint__union.html" target="_self">disjoint_union</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Disjoint_union">Disjoint union</a> implementation </td></tr>
<tr id="row_11_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_11_" class="arrow" onclick="toggleFolder('11_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d65/namespacedouble__hashing.html" target="_self">double_hashing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Double_hashing">double hashing</a> algorithm </td></tr>
<tr id="row_11_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="d9/dde/structdouble__hashing_1_1_entry.html" target="_self">Entry</a></td><td class="desc"></td></tr>
<tr id="row_12_" 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="dd/d24/namespacedynamic__programming.html" target="_self">dynamic_programming</a></td><td class="desc">Dynamic Programming algorithms </td></tr>
<tr id="row_13_"><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/dea/namespacefalse__position.html" target="_self">false_position</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Regula_falsi">False Position</a> method </td></tr>
<tr id="row_14_" 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/dc9/namespacefibonacci__sum.html" target="_self">fibonacci_sum</a></td><td class="desc">Functions for the sum of the Fibonacci Sequence: \(\mathrm{F}(n) + \mathrm{F}(n+1) + .. + \mathrm{F}(m)\) </td></tr>
<tr id="row_15_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_15_" class="arrow" onclick="toggleFolder('15_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d5f/namespacegeometry.html" target="_self">geometry</a></td><td class="desc">Geometry algorithms </td></tr>
<tr id="row_15_0_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_15_0_" class="arrow" onclick="toggleFolder('15_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>jarvis</b></td><td class="desc"></td></tr>
<tr id="row_15_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="d9/d5a/structgeometry_1_1jarvis_1_1_point.html" target="_self">Point</a></td><td class="desc"></td></tr>
<tr id="row_15_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="d4/dde/classgeometry_1_1jarvis_1_1_convexhull.html" target="_self">Convexhull</a></td><td class="desc"></td></tr>
<tr id="row_16_" 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/d0f/namespacegram__schmidt.html" target="_self">gram_schmidt</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Gram%E2%80%93Schmidt_process">Gram Schmidt Orthogonalisation Process</a> </td></tr>
<tr id="row_17_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_17_" class="arrow" onclick="toggleFolder('17_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/dce/namespacegraph.html" target="_self">graph</a></td><td class="desc"><a class="el" href="dc/d61/classgraph_1_1_graph.html">Graph</a> Algorithms </td></tr>
<tr id="row_17_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>bidirectional_dijkstra</b></td><td class="desc"></td></tr>
<tr id="row_17_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>depth_first_search</b></td><td class="desc"></td></tr>
<tr id="row_17_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>disjoint_union</b></td><td class="desc"></td></tr>
<tr id="row_17_3_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_17_3_" class="arrow" onclick="toggleFolder('17_3_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>is_graph_bipartite</b></td><td class="desc"></td></tr>
<tr id="row_17_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="de/d00/classgraph_1_1is__graph__bipartite_1_1_graph.html" target="_self">Graph</a></td><td class="desc">Class for representing graph as an adjacency list </td></tr>
<tr id="row_17_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="dc/d61/classgraph_1_1_graph.html" target="_self">Graph</a></td><td class="desc"></td></tr>
<tr id="row_17_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="d8/d69/classgraph_1_1_h_k_graph.html" target="_self">HKGraph</a></td><td class="desc">Represents Bipartite graph for Hopcroft Karp implementation </td></tr>
<tr id="row_17_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="d0/d58/classgraph_1_1_rooted_tree.html" target="_self">RootedTree</a></td><td class="desc"></td></tr>
<tr id="row_17_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="d9/d23/classgraph_1_1_lowest_common_ancestor.html" target="_self">LowestCommonAncestor</a></td><td class="desc"></td></tr>
<tr id="row_18_" 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/d1c/namespacehamming__distance.html" target="_self">hamming_distance</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Hamming_distance">Hamming distance</a> implementation </td></tr>
<tr id="row_19_"><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/d6f/namespaceheavy__light__decomposition.html" target="_self">heavy_light_decomposition</a></td><td class="desc">Heavy light decomposition algorithm </td></tr>
<tr id="row_20_" 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/d02/namespacehorspool.html" target="_self">horspool</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Boyer%E2%80%93Moore%E2%80%93Horspool_algorithm">Horspool's</a> algorithm </td></tr>
<tr id="row_21_"><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/d13/namespaceinversion.html" target="_self">inversion</a></td><td class="desc">Functions for counting inversions using Merge Sort algorithm </td></tr>
<tr id="row_22_" 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/d83/namespaceis__graph__bipartite.html" target="_self">is_graph_bipartite</a></td><td class="desc">Functions for checking whether a graph is bipartite or not </td></tr>
<tr id="row_23_"><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/da7/namespacejarvis.html" target="_self">jarvis</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Gift_wrapping_algorithm">Jarvis’s</a> algorithm </td></tr>
<tr id="row_24_" 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/d74/namespacekadane.html" target="_self">kadane</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Kadane%27s_algorithm">Kadane</a> algorithm </td></tr>
<tr id="row_25_"><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/daf/namespace_knapsack.html" target="_self">Knapsack</a></td><td class="desc">Implementation of 0-1 <a class="el" href="d7/daf/namespace_knapsack.html" title="Implementation of 0-1 Knapsack problem.">Knapsack</a> problem </td></tr>
<tr id="row_26_" 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/d2c/namespacelayers.html" target="_self">layers</a></td><td class="desc">This namespace contains layers used in MLP </td></tr>
<tr id="row_27_"><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/d78/namespacelinear__algebra.html" target="_self">linear_algebra</a></td><td class="desc">For io operations </td></tr>
<tr id="row_28_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_28_" class="arrow" onclick="toggleFolder('28_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d89/namespacelinear__probing.html" target="_self">linear_probing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Linear_probing">linear probing</a> algorithm </td></tr>
<tr id="row_28_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="db/d19/structlinear__probing_1_1_entry.html" target="_self">Entry</a></td><td class="desc"></td></tr>
<tr id="row_29_"><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/db0/namespacelinked__list.html" target="_self">linked_list</a></td><td class="desc">Functions for singly linked list algorithm </td></tr>
<tr id="row_30_" 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/d27/namespacelist__array.html" target="_self">list_array</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Dynamic_array">Dynamic Array</a> algorithm </td></tr>
<tr id="row_31_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_31_" class="arrow" onclick="toggleFolder('31_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d77/namespacemachine__learning.html" target="_self">machine_learning</a></td><td class="desc">Machine learning algorithms </td></tr>
<tr id="row_31_0_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_31_0_" class="arrow" onclick="toggleFolder('31_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>neural_network</b></td><td class="desc"></td></tr>
<tr id="row_31_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">N</span></span><b>activations</b></td><td class="desc"></td></tr>
<tr id="row_31_0_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span id="arr_31_0_1_" class="arrow" onclick="toggleFolder('31_0_1_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>layers</b></td><td class="desc"></td></tr>
<tr id="row_31_0_1_0_" class="even" style="display:none;"><td class="entry"><span style="width:64px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dc/d93/classmachine__learning_1_1neural__network_1_1layers_1_1_dense_layer.html" target="_self">DenseLayer</a></td><td class="desc"></td></tr>
<tr id="row_31_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">N</span></span><b>util_functions</b></td><td class="desc"></td></tr>
<tr id="row_31_0_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_31_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="d6/d30/classmachine__learning_1_1adaline.html" target="_self">adaline</a></td><td class="desc"></td></tr>
<tr id="row_32_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_32_" class="arrow" onclick="toggleFolder('32_')">&#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 <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_32_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>fibonacci_sum</b></td><td class="desc"></td></tr>
<tr id="row_32_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>modular_division</b></td><td class="desc"></td></tr>
<tr id="row_32_2_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_32_2_" class="arrow" onclick="toggleFolder('32_2_')">&#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_32_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="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_32_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>vector_cross</b></td><td class="desc"></td></tr>
<tr id="row_33_"><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_34_" 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_35_"><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_36_" 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_37_"><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_38_" 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_39_"><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_40_" 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_41_"><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_42_" 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_43_"><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_44_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_44_" class="arrow" onclick="toggleFolder('44_')">&#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">Other algorithms </td></tr>
<tr id="row_44_0_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_44_0_" class="arrow" onclick="toggleFolder('44_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>postfix_expression</b></td><td class="desc"></td></tr>
<tr id="row_44_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/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_45_"><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_46_" 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_47_"><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_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="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_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="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_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">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_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="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_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/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_52_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_52_" class="arrow" onclick="toggleFolder('52_')">&#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_52_0_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_52_0_" class="arrow" onclick="toggleFolder('52_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_52_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_52_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_52_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_52_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_52_2_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_52_2_" class="arrow" onclick="toggleFolder('52_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_52_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_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="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_3_"><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/d7a/namespacebinomial.html" target="_self">binomial</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Binomial_coefficient">Binomial coefficients</a> implementation </td></tr>
<tr id="row_4_" 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/d81/namespacebit__manipulation.html" target="_self">bit_manipulation</a></td><td class="desc">For io operations </td></tr>
<tr id="row_5_"><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="dd/d81/namespacecaesar.html" target="_self">caesar</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Caesar_cipher">Caesar cipher</a> algorithm </td></tr>
<tr id="row_6_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_6_" class="arrow" onclick="toggleFolder('6_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d4e/namespaceciphers.html" target="_self">ciphers</a></td><td class="desc">Algorithms for encryption and decryption </td></tr>
<tr id="row_6_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>caesar</b></td><td class="desc"></td></tr>
<tr id="row_6_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>morse</b></td><td class="desc"></td></tr>
<tr id="row_6_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>vigenere</b></td><td class="desc"></td></tr>
<tr id="row_6_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>XOR</b></td><td class="desc"></td></tr>
<tr id="row_6_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="d6/d26/classciphers_1_1_hill_cipher.html" target="_self">HillCipher</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Hill_cipher">Hill Cipher</a> algorithm </td></tr>
<tr id="row_7_"><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/d36/namespacecut__rod.html" target="_self">cut_rod</a></td><td class="desc">Implementation of cutting a rod problem </td></tr>
<tr id="row_8_" 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/dfb/namespacecycle__sort.html" target="_self">cycle_sort</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Cycle_sort">Cycle sort</a> algorithm </td></tr>
<tr id="row_9_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_9_" class="arrow" onclick="toggleFolder('9_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d3c/namespacedata__structures.html" target="_self">data_structures</a></td><td class="desc">Data Structures algorithms </td></tr>
<tr id="row_9_0_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_9_0_" class="arrow" onclick="toggleFolder('9_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>linked_list</b></td><td class="desc"></td></tr>
<tr id="row_9_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="de/d9d/classdata__structures_1_1linked__list_1_1link.html" target="_self">link</a></td><td class="desc"></td></tr>
<tr id="row_9_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="d1/def/classdata__structures_1_1linked__list_1_1list.html" target="_self">list</a></td><td class="desc"></td></tr>
<tr id="row_9_1_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_9_1_" class="arrow" onclick="toggleFolder('9_1_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>list_array</b></td><td class="desc"></td></tr>
<tr id="row_9_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="d5/dab/structdata__structures_1_1list__array_1_1list.html" target="_self">list</a></td><td class="desc">Structure of List with supporting methods </td></tr>
<tr id="row_9_2_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_9_2_" class="arrow" onclick="toggleFolder('9_2_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>queue_using_array</b></td><td class="desc"></td></tr>
<tr id="row_9_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="d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html" target="_self">Queue_Array</a></td><td class="desc"><a class="el" href="d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html" title="Queue_Array class containing the main data and also index of head and tail of the array.">Queue_Array</a> class containing the main data and also index of head and tail of the array </td></tr>
<tr id="row_9_3_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_9_3_" class="arrow" onclick="toggleFolder('9_3_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>tree_234</b></td><td class="desc"></td></tr>
<tr id="row_9_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="dd/d40/classdata__structures_1_1tree__234_1_1_node.html" target="_self">Node</a></td><td class="desc">2-3-4 tree node class </td></tr>
<tr id="row_9_3_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="d3/d95/classdata__structures_1_1tree__234_1_1_tree234.html" target="_self">Tree234</a></td><td class="desc">2-3-4 tree class </td></tr>
<tr id="row_9_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="d9/d49/structdata__structures_1_1_node.html" target="_self">Node</a></td><td class="desc"></td></tr>
<tr id="row_9_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="d4/d90/classdata__structures_1_1_skip_list.html" target="_self">SkipList</a></td><td class="desc"></td></tr>
<tr id="row_9_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="d0/d3e/classdata__structures_1_1trie.html" target="_self">trie</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Trie">Trie</a> implementation for small-case English alphabets <code>a-z</code> </td></tr>
<tr id="row_10_" 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/da7/namespacedepth__first__search.html" target="_self">depth_first_search</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Depth-first_search">Depth First Search</a> algorithm </td></tr>
<tr id="row_11_"><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/db4/namespacedisjoint__union.html" target="_self">disjoint_union</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Disjoint_union">Disjoint union</a> implementation </td></tr>
<tr id="row_12_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_12_" class="arrow" onclick="toggleFolder('12_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d65/namespacedouble__hashing.html" target="_self">double_hashing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Double_hashing">double hashing</a> algorithm </td></tr>
<tr id="row_12_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="d9/dde/structdouble__hashing_1_1_entry.html" target="_self">Entry</a></td><td class="desc"></td></tr>
<tr id="row_13_"><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="dd/d24/namespacedynamic__programming.html" target="_self">dynamic_programming</a></td><td class="desc">Dynamic Programming algorithms </td></tr>
<tr id="row_14_" 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/dea/namespacefalse__position.html" target="_self">false_position</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Regula_falsi">False Position</a> method </td></tr>
<tr id="row_15_"><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/dc9/namespacefibonacci__sum.html" target="_self">fibonacci_sum</a></td><td class="desc">Functions for the sum of the Fibonacci Sequence: \(\mathrm{F}(n) + \mathrm{F}(n+1) + .. + \mathrm{F}(m)\) </td></tr>
<tr id="row_16_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_16_" class="arrow" onclick="toggleFolder('16_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d5f/namespacegeometry.html" target="_self">geometry</a></td><td class="desc">Geometry algorithms </td></tr>
<tr id="row_16_0_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_16_0_" class="arrow" onclick="toggleFolder('16_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>jarvis</b></td><td class="desc"></td></tr>
<tr id="row_16_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="d9/d5a/structgeometry_1_1jarvis_1_1_point.html" target="_self">Point</a></td><td class="desc"></td></tr>
<tr id="row_16_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="d4/dde/classgeometry_1_1jarvis_1_1_convexhull.html" target="_self">Convexhull</a></td><td class="desc"></td></tr>
<tr id="row_17_"><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/d0f/namespacegram__schmidt.html" target="_self">gram_schmidt</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Gram%E2%80%93Schmidt_process">Gram Schmidt Orthogonalisation Process</a> </td></tr>
<tr id="row_18_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_18_" class="arrow" onclick="toggleFolder('18_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/dce/namespacegraph.html" target="_self">graph</a></td><td class="desc"><a class="el" href="dc/d61/classgraph_1_1_graph.html">Graph</a> Algorithms </td></tr>
<tr id="row_18_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>bidirectional_dijkstra</b></td><td class="desc"></td></tr>
<tr id="row_18_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>depth_first_search</b></td><td class="desc"></td></tr>
<tr id="row_18_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>disjoint_union</b></td><td class="desc"></td></tr>
<tr id="row_18_3_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_18_3_" class="arrow" onclick="toggleFolder('18_3_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>is_graph_bipartite</b></td><td class="desc"></td></tr>
<tr id="row_18_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="de/d00/classgraph_1_1is__graph__bipartite_1_1_graph.html" target="_self">Graph</a></td><td class="desc">Class for representing graph as an adjacency list </td></tr>
<tr id="row_18_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="dc/d61/classgraph_1_1_graph.html" target="_self">Graph</a></td><td class="desc"></td></tr>
<tr id="row_18_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="d8/d69/classgraph_1_1_h_k_graph.html" target="_self">HKGraph</a></td><td class="desc">Represents Bipartite graph for Hopcroft Karp implementation </td></tr>
<tr id="row_18_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="d0/d58/classgraph_1_1_rooted_tree.html" target="_self">RootedTree</a></td><td class="desc"></td></tr>
<tr id="row_18_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="d9/d23/classgraph_1_1_lowest_common_ancestor.html" target="_self">LowestCommonAncestor</a></td><td class="desc"></td></tr>
<tr id="row_19_"><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/d1c/namespacehamming__distance.html" target="_self">hamming_distance</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Hamming_distance">Hamming distance</a> implementation </td></tr>
<tr id="row_20_" 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/d6f/namespaceheavy__light__decomposition.html" target="_self">heavy_light_decomposition</a></td><td class="desc">Heavy light decomposition algorithm </td></tr>
<tr id="row_21_"><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/d02/namespacehorspool.html" target="_self">horspool</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Boyer%E2%80%93Moore%E2%80%93Horspool_algorithm">Horspool's</a> algorithm </td></tr>
<tr id="row_22_" 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/d13/namespaceinversion.html" target="_self">inversion</a></td><td class="desc">Functions for counting inversions using Merge Sort algorithm </td></tr>
<tr id="row_23_"><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/d83/namespaceis__graph__bipartite.html" target="_self">is_graph_bipartite</a></td><td class="desc">Functions for checking whether a graph is bipartite or not </td></tr>
<tr id="row_24_" 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/da7/namespacejarvis.html" target="_self">jarvis</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Gift_wrapping_algorithm">Jarvis’s</a> algorithm </td></tr>
<tr id="row_25_"><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/d74/namespacekadane.html" target="_self">kadane</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Kadane%27s_algorithm">Kadane</a> algorithm </td></tr>
<tr id="row_26_" 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/daf/namespace_knapsack.html" target="_self">Knapsack</a></td><td class="desc">Implementation of 0-1 <a class="el" href="d7/daf/namespace_knapsack.html" title="Implementation of 0-1 Knapsack problem.">Knapsack</a> problem </td></tr>
<tr id="row_27_"><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/d2c/namespacelayers.html" target="_self">layers</a></td><td class="desc">This namespace contains layers used in MLP </td></tr>
<tr id="row_28_" 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/d78/namespacelinear__algebra.html" target="_self">linear_algebra</a></td><td class="desc">For io operations </td></tr>
<tr id="row_29_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_29_" class="arrow" onclick="toggleFolder('29_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d89/namespacelinear__probing.html" target="_self">linear_probing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Linear_probing">linear probing</a> algorithm </td></tr>
<tr id="row_29_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="db/d19/structlinear__probing_1_1_entry.html" target="_self">Entry</a></td><td class="desc"></td></tr>
<tr id="row_30_" 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/db0/namespacelinked__list.html" target="_self">linked_list</a></td><td class="desc">Functions for singly linked list algorithm </td></tr>
<tr id="row_31_"><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/d27/namespacelist__array.html" target="_self">list_array</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Dynamic_array">Dynamic Array</a> algorithm </td></tr>
<tr id="row_32_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_32_" class="arrow" onclick="toggleFolder('32_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d77/namespacemachine__learning.html" target="_self">machine_learning</a></td><td class="desc">Machine learning algorithms </td></tr>
<tr id="row_32_0_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_32_0_" class="arrow" onclick="toggleFolder('32_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>neural_network</b></td><td class="desc"></td></tr>
<tr id="row_32_0_0_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>activations</b></td><td class="desc"></td></tr>
<tr id="row_32_0_1_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span id="arr_32_0_1_" class="arrow" onclick="toggleFolder('32_0_1_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>layers</b></td><td class="desc"></td></tr>
<tr id="row_32_0_1_0_" style="display:none;"><td class="entry"><span style="width:64px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dc/d93/classmachine__learning_1_1neural__network_1_1layers_1_1_dense_layer.html" target="_self">DenseLayer</a></td><td class="desc"></td></tr>
<tr id="row_32_0_2_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>util_functions</b></td><td class="desc"></td></tr>
<tr id="row_32_0_3_" 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_32_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="d6/d30/classmachine__learning_1_1adaline.html" target="_self">adaline</a></td><td class="desc"></td></tr>
<tr id="row_33_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_33_" class="arrow" onclick="toggleFolder('33_')">&#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_33_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_33_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_33_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>modular_division</b></td><td class="desc"></td></tr>
<tr id="row_33_3_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_33_3_" class="arrow" onclick="toggleFolder('33_3_')">&#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_33_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="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_33_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>vector_cross</b></td><td class="desc"></td></tr>
<tr id="row_34_" 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_35_"><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_36_" 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_37_"><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_38_" 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_39_"><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_40_" 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_41_"><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_42_" 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_43_"><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_44_" 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_45_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_45_" class="arrow" onclick="toggleFolder('45_')">&#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">Other algorithms </td></tr>
<tr id="row_45_0_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_45_0_" class="arrow" onclick="toggleFolder('45_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>postfix_expression</b></td><td class="desc"></td></tr>
<tr id="row_45_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/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_46_" 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_47_"><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_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="d4/de6/namespacepostfix__expression.html" target="_self">postfix_expression</a></td><td class="desc">Functions for Postfix Expression algorithm </td></tr>
<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="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_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="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_50_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_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="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_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="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_53_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_53_" class="arrow" onclick="toggleFolder('53_')">&#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_53_0_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_53_0_" class="arrow" onclick="toggleFolder('53_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_53_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_53_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_53_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_53_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_53_2_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_53_2_" class="arrow" onclick="toggleFolder('53_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_53_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_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="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_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="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_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="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_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="d9/dca/namespacesearch.html" target="_self">search</a></td><td class="desc">Search algorithms </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/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_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="d5/d91/namespacesorting.html" target="_self">sorting</a></td><td class="desc">Sorting algorithms </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="d9/d55/namespacesparse__table.html" target="_self">sparse_table</a></td><td class="desc">Range queries using sparse-tables </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="da/dd3/namespacespirograph.html" target="_self">spirograph</a></td><td class="desc"></td></tr>
<tr id="row_61_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_61_" class="arrow" onclick="toggleFolder('61_')">&#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_61_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_61_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_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="d8/dcc/namespacestd.html" target="_self">std</a></td><td class="desc">STL namespace </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="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_64_" 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_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="df/dcb/namespacestrings.html" target="_self">strings</a></td><td class="desc">Algorithms with strings </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="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_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="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_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/d91/namespacevector__cross.html" target="_self">vector_cross</a></td><td class="desc">Functions for Vector Cross Product algorithms </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="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_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="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_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="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_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="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_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="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_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="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_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="d9/dca/namespacesearch.html" target="_self">search</a></td><td class="desc">Search algorithms </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/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_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="d5/d91/namespacesorting.html" target="_self">sorting</a></td><td class="desc">Sorting algorithms </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="d9/d55/namespacesparse__table.html" target="_self">sparse_table</a></td><td class="desc">Range queries using sparse-tables </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="da/dd3/namespacespirograph.html" target="_self">spirograph</a></td><td class="desc"></td></tr>
<tr id="row_62_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_62_" class="arrow" onclick="toggleFolder('62_')">&#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_62_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_62_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_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="d8/dcc/namespacestd.html" target="_self">std</a></td><td class="desc">STL namespace </td></tr>
<tr id="row_64_" 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_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="d9/d03/namespacestring__search.html" target="_self">string_search</a></td><td class="desc">String search algorithms </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/dcb/namespacestrings.html" target="_self">strings</a></td><td class="desc">Algorithms with strings </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="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_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="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_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="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_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="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_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="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_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="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_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="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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