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<div class="header">
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<div class="headertitle"><div class="title">modular_inverse_fermat Namespace Reference</div></div>
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|
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<div class="contents">
|
||||
|
||||
<p>Calculate modular inverse using Fermat's Little Theorem.
|
||||
<a href="#details">More...</a></p>
|
||||
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
|
||||
<div class="textblock"><p>Calculate modular inverse using Fermat's Little Theorem. </p>
|
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@@ -105,6 +105,7 @@ $(function(){initNavTree('d8/d53/modular__inverse__fermat__little__theorem_8cpp.
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<div class="headertitle"><div class="title">modular_inverse_fermat_little_theorem.cpp File Reference</div></div>
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@@ -112,21 +113,40 @@ $(function(){initNavTree('d8/d53/modular__inverse__fermat__little__theorem_8cpp.
|
||||
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||||
<p>C++ Program to find the modular inverse using <a href="https://en.wikipedia.org/wiki/Fermat%27s_little_theorem" target="_blank">Fermat's Little Theorem</a>
|
||||
<a href="#details">More...</a></p>
|
||||
<div class="textblock"><code>#include <iostream></code><br />
|
||||
<code>#include <vector></code><br />
|
||||
<div class="textblock"><code>#include <cassert></code><br />
|
||||
<code>#include <cstdint></code><br />
|
||||
<code>#include <iostream></code><br />
|
||||
</div><div class="textblock"><div class="dynheader">
|
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Include dependency graph for modular_inverse_fermat_little_theorem.cpp:</div>
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<div class="dyncontent">
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Namespaces</h2></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html">math</a></td></tr>
|
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<tr class="memdesc:dd/d47/namespacemath"><td class="mdescLeft"> </td><td class="mdescRight">for IO operations <br /></td></tr>
|
||||
<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
|
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/d50/namespacemodular__inverse__fermat.html">modular_inverse_fermat</a></td></tr>
|
||||
<tr class="memdesc:d7/d50/namespacemodular__inverse__fermat"><td class="mdescLeft"> </td><td class="mdescRight">Calculate modular inverse using Fermat's Little Theorem. <br /></td></tr>
|
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
|
||||
</table><table class="memberdecls">
|
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
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||||
Functions</h2></td></tr>
|
||||
<tr class="memitem:a4c6eefd1254eab3e8d34bf02c205e0f4" id="r_a4c6eefd1254eab3e8d34bf02c205e0f4"><td class="memItemLeft" align="right" valign="top">int64_t </td><td class="memItemRight" valign="bottom"><a class="el" href="#a4c6eefd1254eab3e8d34bf02c205e0f4">binExpo</a> (int64_t a, int64_t b, int64_t m)</td></tr>
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<tr class="separator:a4c6eefd1254eab3e8d34bf02c205e0f4"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a09660096b134753128952246f4f4e4bd" id="r_a09660096b134753128952246f4f4e4bd"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="#a09660096b134753128952246f4f4e4bd">isPrime</a> (int64_t m)</td></tr>
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||||
<tr class="separator:a09660096b134753128952246f4f4e4bd"><td class="memSeparator" colspan="2"> </td></tr>
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||||
<tr class="memitem:a1c62a87e79f29b98d8fe5b12eacdd928" id="r_a1c62a87e79f29b98d8fe5b12eacdd928"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::int64_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="#a1c62a87e79f29b98d8fe5b12eacdd928">math::modular_inverse_fermat::binExpo</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::int64_t</a> a, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::int64_t</a> b, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::int64_t</a> m)</td></tr>
|
||||
<tr class="memdesc:a1c62a87e79f29b98d8fe5b12eacdd928"><td class="mdescLeft"> </td><td class="mdescRight">Calculate exponent with modulo using binary exponentiation in \(O(\log b)\) time. <br /></td></tr>
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<tr class="separator:a1c62a87e79f29b98d8fe5b12eacdd928"><td class="memSeparator" colspan="2"> </td></tr>
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||||
<tr class="memitem:aba4929409fee35c3cb559e962a544b3e" id="r_aba4929409fee35c3cb559e962a544b3e"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="#aba4929409fee35c3cb559e962a544b3e">math::modular_inverse_fermat::isPrime</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::int64_t</a> m)</td></tr>
|
||||
<tr class="memdesc:aba4929409fee35c3cb559e962a544b3e"><td class="mdescLeft"> </td><td class="mdescRight">Check if an integer is a prime number in \(O(\sqrt{m})\) time. <br /></td></tr>
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||||
<tr class="separator:aba4929409fee35c3cb559e962a544b3e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ae7e807e02c65c6fffd6162b4c66290c2" id="r_ae7e807e02c65c6fffd6162b4c66290c2"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::int64_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="#ae7e807e02c65c6fffd6162b4c66290c2">math::modular_inverse_fermat::modular_inverse</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::int64_t</a> a, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::int64_t</a> m)</td></tr>
|
||||
<tr class="memdesc:ae7e807e02c65c6fffd6162b4c66290c2"><td class="mdescLeft"> </td><td class="mdescRight">calculates the modular inverse. <br /></td></tr>
|
||||
<tr class="separator:ae7e807e02c65c6fffd6162b4c66290c2"><td class="memSeparator" colspan="2"> </td></tr>
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||||
<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d" id="r_aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
|
||||
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft"> </td><td class="mdescRight">Self-test implementation. <br /></td></tr>
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||||
<tr class="separator:aa8dca7b867074164d5f45b0f3851269d"><td class="memSeparator" colspan="2"> </td></tr>
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||||
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4" id="r_ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
|
||||
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft"> </td><td class="mdescRight">Main function. <br /></td></tr>
|
||||
<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2"> </td></tr>
|
||||
</table>
|
||||
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
|
||||
@@ -153,7 +173,7 @@ Functions</h2></td></tr>
|
||||
a^{m-2} &≡& a^{-1} \;\text{mod}\; m
|
||||
\end{eqnarray*}
|
||||
</p>
|
||||
<p>We will find the exponent using binary exponentiation. Such that the algorithm works in \(O(\log m)\) time.</p>
|
||||
<p>We will find the exponent using binary exponentiation such that the algorithm works in \(O(\log n)\) time.</p>
|
||||
<p>Examples: -</p><ul>
|
||||
<li>a = 3 and m = 7</li>
|
||||
<li>\(a^{-1} \;\text{mod}\; m\) is equivalent to \(a^{m-2} \;\text{mod}\; m\)</li>
|
||||
@@ -161,74 +181,104 @@ Functions</h2></td></tr>
|
||||
Hence, \(3^{-1} \;\text{mod}\; 7 = 5\) or \(3 \times 5 \;\text{mod}\; 7 = 1 \;\text{mod}\; 7\) (as \(a\times a^{-1} = 1\)) </li>
|
||||
</ul>
|
||||
</div><h2 class="groupheader">Function Documentation</h2>
|
||||
<a id="a4c6eefd1254eab3e8d34bf02c205e0f4" name="a4c6eefd1254eab3e8d34bf02c205e0f4"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#a4c6eefd1254eab3e8d34bf02c205e0f4">◆ </a></span>binExpo()</h2>
|
||||
<a id="a1c62a87e79f29b98d8fe5b12eacdd928" name="a1c62a87e79f29b98d8fe5b12eacdd928"></a>
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||||
<h2 class="memtitle"><span class="permalink"><a href="#a1c62a87e79f29b98d8fe5b12eacdd928">◆ </a></span>binExpo()</h2>
|
||||
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||||
<div class="memitem">
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||||
<div class="memproto">
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||||
<table class="memname">
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||||
<tr>
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||||
<td class="memname">int64_t binExpo </td>
|
||||
<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::int64_t</a> math::modular_inverse_fermat::binExpo </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">int64_t</td> <td class="paramname"><span class="paramname"><em>a</em></span>, </td>
|
||||
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::int64_t</a></td> <td class="paramname"><span class="paramname"><em>a</em></span>, </td>
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||||
</tr>
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||||
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||||
<td class="paramkey"></td>
|
||||
<td></td>
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||||
<td class="paramtype">int64_t</td> <td class="paramname"><span class="paramname"><em>b</em></span>, </td>
|
||||
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::int64_t</a></td> <td class="paramname"><span class="paramname"><em>b</em></span>, </td>
|
||||
</tr>
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||||
<tr>
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||||
<td class="paramkey"></td>
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||||
<td></td>
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||||
<td class="paramtype">int64_t</td> <td class="paramname"><span class="paramname"><em>m</em></span> )</td>
|
||||
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::int64_t</a></td> <td class="paramname"><span class="paramname"><em>m</em></span> )</td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
<p>Recursive function to calculate exponent in \(O(\log n)\) using binary exponent. </p>
|
||||
<div class="fragment"><div class="line"><span class="lineno"> 52</span> {</div>
|
||||
<div class="line"><span class="lineno"> 53</span> a %= m;</div>
|
||||
<div class="line"><span class="lineno"> 54</span> int64_t res = 1;</div>
|
||||
<div class="line"><span class="lineno"> 55</span> <span class="keywordflow">while</span> (b > 0) {</div>
|
||||
<div class="line"><span class="lineno"> 56</span> <span class="keywordflow">if</span> (b % 2) {</div>
|
||||
<div class="line"><span class="lineno"> 57</span> res = res * a % m;</div>
|
||||
<div class="line"><span class="lineno"> 58</span> }</div>
|
||||
<div class="line"><span class="lineno"> 59</span> a = a * a % m;</div>
|
||||
<div class="line"><span class="lineno"> 60</span> <span class="comment">// Dividing b by 2 is similar to right shift.</span></div>
|
||||
<div class="line"><span class="lineno"> 61</span> b >>= 1;</div>
|
||||
<div class="line"><span class="lineno"> 62</span> }</div>
|
||||
<div class="line"><span class="lineno"> 63</span> <span class="keywordflow">return</span> res;</div>
|
||||
<div class="line"><span class="lineno"> 64</span>}</div>
|
||||
</div><!-- fragment -->
|
||||
</div>
|
||||
</div>
|
||||
<a id="a09660096b134753128952246f4f4e4bd" name="a09660096b134753128952246f4f4e4bd"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#a09660096b134753128952246f4f4e4bd">◆ </a></span>isPrime()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">bool isPrime </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">int64_t</td> <td class="paramname"><span class="paramname"><em>m</em></span></td><td>)</td>
|
||||
<td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
<p>Prime check in \(O(\sqrt{m})\) time. </p>
|
||||
<div class="fragment"><div class="line"><span class="lineno"> 68</span> {</div>
|
||||
<div class="line"><span class="lineno"> 69</span> <span class="keywordflow">if</span> (m <= 1) {</div>
|
||||
<div class="line"><span class="lineno"> 70</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
|
||||
<div class="line"><span class="lineno"> 71</span> } <span class="keywordflow">else</span> {</div>
|
||||
<div class="line"><span class="lineno"> 72</span> <span class="keywordflow">for</span> (int64_t i = 2; i * i <= m; i++) {</div>
|
||||
<div class="line"><span class="lineno"> 73</span> <span class="keywordflow">if</span> (m % i == 0) {</div>
|
||||
<div class="line"><span class="lineno"> 74</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
|
||||
<div class="line"><span class="lineno"> 75</span> }</div>
|
||||
<div class="line"><span class="lineno"> 76</span> }</div>
|
||||
<div class="line"><span class="lineno"> 77</span> }</div>
|
||||
<div class="line"><span class="lineno"> 78</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
|
||||
<p>Calculate exponent with modulo using binary exponentiation in \(O(\log b)\) time. </p>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">a</td><td>The base </td></tr>
|
||||
<tr><td class="paramname">b</td><td>The exponent </td></tr>
|
||||
<tr><td class="paramname">m</td><td>The modulo </td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>The result of \(a^{b} % m\) </dd></dl>
|
||||
<div class="fragment"><div class="line"><span class="lineno"> 67</span> {</div>
|
||||
<div class="line"><span class="lineno"> 68</span> a %= m;</div>
|
||||
<div class="line"><span class="lineno"> 69</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::int64_t</a> res = 1;</div>
|
||||
<div class="line"><span class="lineno"> 70</span> <span class="keywordflow">while</span> (b > 0) {</div>
|
||||
<div class="line"><span class="lineno"> 71</span> <span class="keywordflow">if</span> (b % 2 != 0) {</div>
|
||||
<div class="line"><span class="lineno"> 72</span> res = res * a % m;</div>
|
||||
<div class="line"><span class="lineno"> 73</span> }</div>
|
||||
<div class="line"><span class="lineno"> 74</span> a = a * a % m;</div>
|
||||
<div class="line"><span class="lineno"> 75</span> <span class="comment">// Dividing b by 2 is similar to right shift by 1 bit</span></div>
|
||||
<div class="line"><span class="lineno"> 76</span> b >>= 1;</div>
|
||||
<div class="line"><span class="lineno"> 77</span> }</div>
|
||||
<div class="line"><span class="lineno"> 78</span> <span class="keywordflow">return</span> res;</div>
|
||||
<div class="line"><span class="lineno"> 79</span>}</div>
|
||||
</div><!-- fragment -->
|
||||
<div class="ttc" id="ainteger_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/types/integer.html">std::int64_t</a></div></div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
<div class="dyncontent">
|
||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d8/d53/modular__inverse__fermat__little__theorem_8cpp_a1c62a87e79f29b98d8fe5b12eacdd928_cgraph.svg" width="280" height="68"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
|
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</div>
|
||||
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||||
</div>
|
||||
</div>
|
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<a id="aba4929409fee35c3cb559e962a544b3e" name="aba4929409fee35c3cb559e962a544b3e"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#aba4929409fee35c3cb559e962a544b3e">◆ </a></span>isPrime()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">bool math::modular_inverse_fermat::isPrime </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::int64_t</a></td> <td class="paramname"><span class="paramname"><em>m</em></span></td><td>)</td>
|
||||
<td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
|
||||
<p>Check if an integer is a prime number in \(O(\sqrt{m})\) time. </p>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">m</td><td>An intger to check for primality </td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>true if the number is prime </dd>
|
||||
<dd>
|
||||
false if the number is not prime </dd></dl>
|
||||
<div class="fragment"><div class="line"><span class="lineno"> 86</span> {</div>
|
||||
<div class="line"><span class="lineno"> 87</span> <span class="keywordflow">if</span> (m <= 1) {</div>
|
||||
<div class="line"><span class="lineno"> 88</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
|
||||
<div class="line"><span class="lineno"> 89</span> } </div>
|
||||
<div class="line"><span class="lineno"> 90</span> <span class="keywordflow">for</span> (<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::int64_t</a> i = 2; i * i <= m; i++) {</div>
|
||||
<div class="line"><span class="lineno"> 91</span> <span class="keywordflow">if</span> (m % i == 0) {</div>
|
||||
<div class="line"><span class="lineno"> 92</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
|
||||
<div class="line"><span class="lineno"> 93</span> }</div>
|
||||
<div class="line"><span class="lineno"> 94</span> }</div>
|
||||
<div class="line"><span class="lineno"> 95</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
|
||||
<div class="line"><span class="lineno"> 96</span>}</div>
|
||||
</div><!-- fragment --><div class="dynheader">
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||||
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||||
<div class="dyncontent">
|
||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d8/d53/modular__inverse__fermat__little__theorem_8cpp_aba4929409fee35c3cb559e962a544b3e_cgraph.svg" width="164" height="76"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
|
||||
</div>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
|
||||
@@ -245,33 +295,108 @@ Hence, \(3^{-1} \;\text{mod}\; 7 = 5\) or \(3 \times 5 \;\text{mod}\; 7 = 1 \;\
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
<p>Main function </p>
|
||||
<div class="fragment"><div class="line"><span class="lineno"> 84</span> {</div>
|
||||
<div class="line"><span class="lineno"> 85</span> int64_t a, m;</div>
|
||||
<div class="line"><span class="lineno"> 86</span> <span class="comment">// Take input of a and m.</span></div>
|
||||
<div class="line"><span class="lineno"> 87</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Computing ((a^(-1))%(m)) using Fermat's Little Theorem"</span>;</div>
|
||||
<div class="line"><span class="lineno"> 88</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><span class="lineno"> 89</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Give input 'a' and 'm' space separated : "</span>;</div>
|
||||
<div class="line"><span class="lineno"> 90</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> >> a >> m;</div>
|
||||
<div class="line"><span class="lineno"> 91</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="#a09660096b134753128952246f4f4e4bd">isPrime</a>(m)) {</div>
|
||||
<div class="line"><span class="lineno"> 92</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"The modular inverse of a with mod m is (a^(m-2)) : "</span>;</div>
|
||||
<div class="line"><span class="lineno"> 93</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <a class="code hl_function" href="#a4c6eefd1254eab3e8d34bf02c205e0f4">binExpo</a>(a, m - 2, m) << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><span class="lineno"> 94</span> } <span class="keywordflow">else</span> {</div>
|
||||
<div class="line"><span class="lineno"> 95</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"m must be a prime number."</span>;</div>
|
||||
<div class="line"><span class="lineno"> 96</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><span class="lineno"> 97</span> }</div>
|
||||
<div class="line"><span class="lineno"> 98</span>}</div>
|
||||
<div class="ttc" id="abasic_istream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a></div></div>
|
||||
<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="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>
|
||||
<div class="ttc" id="amodular__inverse__fermat__little__theorem_8cpp_html_a09660096b134753128952246f4f4e4bd"><div class="ttname"><a href="#a09660096b134753128952246f4f4e4bd">isPrime</a></div><div class="ttdeci">bool isPrime(int64_t m)</div><div class="ttdef"><b>Definition</b> modular_inverse_fermat_little_theorem.cpp:68</div></div>
|
||||
<div class="ttc" id="amodular__inverse__fermat__little__theorem_8cpp_html_a4c6eefd1254eab3e8d34bf02c205e0f4"><div class="ttname"><a href="#a4c6eefd1254eab3e8d34bf02c205e0f4">binExpo</a></div><div class="ttdeci">int64_t binExpo(int64_t a, int64_t b, int64_t m)</div><div class="ttdef"><b>Definition</b> modular_inverse_fermat_little_theorem.cpp:52</div></div>
|
||||
|
||||
<p>Main function. </p>
|
||||
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
|
||||
<div class="fragment"><div class="line"><span class="lineno"> 137</span> {</div>
|
||||
<div class="line"><span class="lineno"> 138</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementation</span></div>
|
||||
<div class="line"><span class="lineno"> 139</span> <span class="keywordflow">return</span> 0;</div>
|
||||
<div class="line"><span class="lineno"> 140</span>}</div>
|
||||
<div class="ttc" id="amodular__inverse__fermat__little__theorem_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementation.</div><div class="ttdef"><b>Definition</b> modular_inverse_fermat_little_theorem.cpp:122</div></div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
<div class="dyncontent">
|
||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d8/d53/modular__inverse__fermat__little__theorem_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width="180" height="135"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
|
||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d8/d53/modular__inverse__fermat__little__theorem_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width="152" height="36"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
|
||||
</div>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<a id="ae7e807e02c65c6fffd6162b4c66290c2" name="ae7e807e02c65c6fffd6162b4c66290c2"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#ae7e807e02c65c6fffd6162b4c66290c2">◆ </a></span>modular_inverse()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::int64_t</a> math::modular_inverse_fermat::modular_inverse </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::int64_t</a></td> <td class="paramname"><span class="paramname"><em>a</em></span>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::int64_t</a></td> <td class="paramname"><span class="paramname"><em>m</em></span> )</td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
|
||||
<p>calculates the modular inverse. </p>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">a</td><td>Integer value for the base </td></tr>
|
||||
<tr><td class="paramname">m</td><td>Integer value for modulo </td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>The result that is the modular inverse of a modulo m </dd></dl>
|
||||
<div class="fragment"><div class="line"><span class="lineno"> 103</span> {</div>
|
||||
<div class="line"><span class="lineno"> 104</span> <span class="keywordflow">while</span> (a < 0) {</div>
|
||||
<div class="line"><span class="lineno"> 105</span> a += m;</div>
|
||||
<div class="line"><span class="lineno"> 106</span> }</div>
|
||||
<div class="line"><span class="lineno"> 107</span> </div>
|
||||
<div class="line"><span class="lineno"> 108</span> <span class="comment">// Check for invalid cases</span></div>
|
||||
<div class="line"><span class="lineno"> 109</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="#aba4929409fee35c3cb559e962a544b3e">isPrime</a>(m) || a == 0) {</div>
|
||||
<div class="line"><span class="lineno"> 110</span> <span class="keywordflow">return</span> -1; <span class="comment">// Invalid input</span></div>
|
||||
<div class="line"><span class="lineno"> 111</span> }</div>
|
||||
<div class="line"><span class="lineno"> 112</span> </div>
|
||||
<div class="line"><span class="lineno"> 113</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../de/dcf/binary__exponent_8cpp.html#aeb48dce0725e63d19147944f41843c73">binExpo</a>(a, m - 2, m); <span class="comment">// Fermat's Little Theorem</span></div>
|
||||
<div class="line"><span class="lineno"> 114</span>}</div>
|
||||
<div class="ttc" id="abinary__exponent_8cpp_html_aeb48dce0725e63d19147944f41843c73"><div class="ttname"><a href="../../de/dcf/binary__exponent_8cpp.html#aeb48dce0725e63d19147944f41843c73">binExpo</a></div><div class="ttdeci">int binExpo(int a, int b)</div><div class="ttdef"><b>Definition</b> binary_exponent.cpp:28</div></div>
|
||||
<div class="ttc" id="amodular__inverse__fermat__little__theorem_8cpp_html_aba4929409fee35c3cb559e962a544b3e"><div class="ttname"><a href="#aba4929409fee35c3cb559e962a544b3e">math::modular_inverse_fermat::isPrime</a></div><div class="ttdeci">bool isPrime(std::int64_t m)</div><div class="ttdoc">Check if an integer is a prime number in time.</div><div class="ttdef"><b>Definition</b> modular_inverse_fermat_little_theorem.cpp:86</div></div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
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Here is the call graph for this function:</div>
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<div class="dyncontent">
|
||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d8/d53/modular__inverse__fermat__little__theorem_8cpp_ae7e807e02c65c6fffd6162b4c66290c2_cgraph.svg" width="380" height="150"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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||||
</div>
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||||
</div>
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<a id="aa8dca7b867074164d5f45b0f3851269d" name="aa8dca7b867074164d5f45b0f3851269d"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">◆ </a></span>test()</h2>
|
||||
|
||||
<div class="memitem">
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||||
<div class="memproto">
|
||||
<table class="mlabels">
|
||||
<tr>
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||||
<td class="mlabels-left">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">static void test </td>
|
||||
<td>(</td>
|
||||
<td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
|
||||
<td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</td>
|
||||
<td class="mlabels-right">
|
||||
<span class="mlabels"><span class="mlabel">static</span></span> </td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
|
||||
<p>Self-test implementation. </p>
|
||||
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
|
||||
<div class="fragment"><div class="line"><span class="lineno"> 122</span> {</div>
|
||||
<div class="line"><span class="lineno"> 123</span> assert(math::modular_inverse_fermat::modular_inverse(0, 97) == -1);</div>
|
||||
<div class="line"><span class="lineno"> 124</span> assert(math::modular_inverse_fermat::modular_inverse(15, -2) == -1);</div>
|
||||
<div class="line"><span class="lineno"> 125</span> assert(math::modular_inverse_fermat::modular_inverse(3, 10) == -1);</div>
|
||||
<div class="line"><span class="lineno"> 126</span> assert(math::modular_inverse_fermat::modular_inverse(3, 7) == 5);</div>
|
||||
<div class="line"><span class="lineno"> 127</span> assert(math::modular_inverse_fermat::modular_inverse(1, 101) == 1);</div>
|
||||
<div class="line"><span class="lineno"> 128</span> assert(math::modular_inverse_fermat::modular_inverse(-1337, 285179) == 165519);</div>
|
||||
<div class="line"><span class="lineno"> 129</span> assert(math::modular_inverse_fermat::modular_inverse(123456789, 998244353) == 25170271);</div>
|
||||
<div class="line"><span class="lineno"> 130</span> assert(math::modular_inverse_fermat::modular_inverse(-9876543210, 1000000007) == 784794281);</div>
|
||||
<div class="line"><span class="lineno"> 131</span>}</div>
|
||||
</div><!-- fragment -->
|
||||
</div>
|
||||
</div>
|
||||
</div><!-- contents -->
|
||||
|
||||
@@ -1,6 +1,8 @@
|
||||
var modular__inverse__fermat__little__theorem_8cpp =
|
||||
[
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|
||||
[ "test", "d8/d53/modular__inverse__fermat__little__theorem_8cpp.html#aa8dca7b867074164d5f45b0f3851269d", null ]
|
||||
];
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<text text-anchor="middle" x="219.75" y="-5.75" font-family="Helvetica,sans-Serif" font-size="10.00">_fermat::isPrime</text>
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After Width: | Height: | Size: 4.2 KiB |
@@ -284,6 +284,7 @@ Functions</h2></td></tr>
|
||||
<div class="textblock"><p>for IO operations </p>
|
||||
<p>for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> and <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></p>
|
||||
<p><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></p>
|
||||
<p>for IO implementations</p>
|
||||
<p>for io operations</p>
|
||||
<p>Evaluate recurrence relation using <a href="https://www.hackerearth.com/practice/notes/matrix-exponentiation-1/" target="_blank">matrix exponentiation</a>.</p>
|
||||
<p>Math algorithms.</p>
|
||||
@@ -319,6 +320,8 @@ Algorithm</h3>
|
||||
<p>This problem can be solved using matrix exponentiation method. </p><dl class="section see"><dt>See also</dt><dd>here for simple <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/modular_exponentiation.cpp" target="_blank">number exponentiation algorithm</a> or <a href="https://en.wikipedia.org/wiki/Exponentiation_by_squaring" target="_blank">explaination here</a>. </dd></dl>
|
||||
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/AshishYUO" target="_blank">Ashish Daulatabad</a> for assert for IO operations for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> STL</dd></dl>
|
||||
<p>Mathematical algorithms</p>
|
||||
<p>for assert for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::int64_t</a></p>
|
||||
<p>Maths algorithms.</p>
|
||||
<p>for assert for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></p>
|
||||
<p>Mathematical algorithms</p>
|
||||
<p>for assert for M_PI definition and pow() for uint16_t datatype</p>
|
||||
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||||
@@ -582,6 +582,7 @@
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<a href="d5/db8/namespacemincoins__topdown.html"/>
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<a href="d4/d12/namespace_minimum.html"/>
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<a href="d1/d64/namespacemodular__division.html"/>
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<a href="d0/da4/namespacemonte__carlo.html"/>
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<a href="d6/d8d/namespacemorse.html"/>
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<a href="de/d36/namespacen__bonacci.html"/>
|
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@@ -2327,6 +2328,7 @@
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<a href="d7/d47/structstd_1_1is__integral_3_01uint256__t_01_4.html"/>
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<a href="d7/d48/structgeometry_1_1grahamscan_1_1_point.html"/>
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<a href="d7/d4c/namespacek__nearest__neighbors.html"/>
|
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<a href="d7/d50/namespacemodular__inverse__fermat.html"/>
|
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<a href="d7/d56/count__bits__flip_8cpp.html"/>
|
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<a href="d7/d56/count__bits__flip_8cpp.html#a2548486b6c3b80101e768562e687ef7b"/>
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<a href="d8/d41/namespacegames_1_1memory__game.html#adc62ebb75853446656e24932bdc6dd6b"/>
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|
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<a href="d8/d61/radix__sort2_8cpp.html"/>
|
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<a href="d8/d61/radix__sort2_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e"/>
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@@ -3188,6 +3192,9 @@
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<a href="db/d82/namespacemath_1_1modular__inverse__fermat.html#a1c62a87e79f29b98d8fe5b12eacdd928"/>
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<a href="db/d82/namespacemath_1_1modular__inverse__fermat.html#aba4929409fee35c3cb559e962a544b3e"/>
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<a href="db/d82/namespacemath_1_1modular__inverse__fermat.html#ae7e807e02c65c6fffd6162b4c66290c2"/>
|
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<a href="db/d8b/struct_node.html"/>
|
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<a href="db/d93/check__prime_8cpp.html"/>
|
||||
<a href="db/d93/check__prime_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e"/>
|
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|
||||
@@ -110,7 +110,7 @@ $(function(){initNavTree('globals_b.html',''); initResizable(true); });
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||||
<li>bayes_AgivenB() : <a class="el" href="d5/d67/bayes__theorem_8cpp.html#a655bfe51252468d232dc639a340656ba">bayes_theorem.cpp</a></li>
|
||||
<li>bayes_BgivenA() : <a class="el" href="d5/d67/bayes__theorem_8cpp.html#abb4f22dc05887c2259fdfc55c687598f">bayes_theorem.cpp</a></li>
|
||||
<li>binary_s() : <a class="el" href="d8/d8a/exponential__search_8cpp.html#ab06cedad209456eae95d37b7cd66acae">exponential_search.cpp</a></li>
|
||||
<li>binExpo() : <a class="el" href="de/dcf/binary__exponent_8cpp.html#aeb48dce0725e63d19147944f41843c73">binary_exponent.cpp</a>, <a class="el" href="d8/d53/modular__inverse__fermat__little__theorem_8cpp.html#a4c6eefd1254eab3e8d34bf02c205e0f4">modular_inverse_fermat_little_theorem.cpp</a></li>
|
||||
<li>binExpo() : <a class="el" href="de/dcf/binary__exponent_8cpp.html#aeb48dce0725e63d19147944f41843c73">binary_exponent.cpp</a></li>
|
||||
<li>binExpo_alt() : <a class="el" href="de/dcf/binary__exponent_8cpp.html#a31dbf5f7ceb9c9eec831ef9f7782291f">binary_exponent.cpp</a></li>
|
||||
<li>binomial_expected() : <a class="el" href="d6/db0/binomial__dist_8cpp.html#a4416a7bc7fa87201883c54cdc4c82813">binomial_dist.cpp</a></li>
|
||||
<li>binomial_range_successes() : <a class="el" href="d6/db0/binomial__dist_8cpp.html#a76ed6ce71415fb400b65f0656cef3d25">binomial_dist.cpp</a></li>
|
||||
|
||||
@@ -110,7 +110,7 @@ $(function(){initNavTree('globals_func_b.html',''); initResizable(true); });
|
||||
<li>bayes_AgivenB() : <a class="el" href="d5/d67/bayes__theorem_8cpp.html#a655bfe51252468d232dc639a340656ba">bayes_theorem.cpp</a></li>
|
||||
<li>bayes_BgivenA() : <a class="el" href="d5/d67/bayes__theorem_8cpp.html#abb4f22dc05887c2259fdfc55c687598f">bayes_theorem.cpp</a></li>
|
||||
<li>binary_s() : <a class="el" href="d8/d8a/exponential__search_8cpp.html#ab06cedad209456eae95d37b7cd66acae">exponential_search.cpp</a></li>
|
||||
<li>binExpo() : <a class="el" href="de/dcf/binary__exponent_8cpp.html#aeb48dce0725e63d19147944f41843c73">binary_exponent.cpp</a>, <a class="el" href="d8/d53/modular__inverse__fermat__little__theorem_8cpp.html#a4c6eefd1254eab3e8d34bf02c205e0f4">modular_inverse_fermat_little_theorem.cpp</a></li>
|
||||
<li>binExpo() : <a class="el" href="de/dcf/binary__exponent_8cpp.html#aeb48dce0725e63d19147944f41843c73">binary_exponent.cpp</a></li>
|
||||
<li>binExpo_alt() : <a class="el" href="de/dcf/binary__exponent_8cpp.html#a31dbf5f7ceb9c9eec831ef9f7782291f">binary_exponent.cpp</a></li>
|
||||
<li>binomial_expected() : <a class="el" href="d6/db0/binomial__dist_8cpp.html#a4416a7bc7fa87201883c54cdc4c82813">binomial_dist.cpp</a></li>
|
||||
<li>binomial_range_successes() : <a class="el" href="d6/db0/binomial__dist_8cpp.html#a76ed6ce71415fb400b65f0656cef3d25">binomial_dist.cpp</a></li>
|
||||
|
||||
@@ -116,7 +116,6 @@ $(function(){initNavTree('globals_func_i.html',''); initResizable(true); });
|
||||
<li>is_happy() : <a class="el" href="db/df3/happy__number_8cpp.html#a00ccdb1166a7c83ac3c33ac67a2532b7">happy_number.cpp</a></li>
|
||||
<li>is_square() : <a class="el" href="dc/d38/ordinary__least__squares__regressor_8cpp.html#a8fa731952b0ee3bc7ec51c51ed21911e">ordinary_least_squares_regressor.cpp</a></li>
|
||||
<li>IsPrime() : <a class="el" href="da/d7b/primality__test_8cpp.html#a2bfa6adead2bdcbf1dac94cbe08d7eaf">primality_test.cpp</a></li>
|
||||
<li>isPrime() : <a class="el" href="d8/d53/modular__inverse__fermat__little__theorem_8cpp.html#a09660096b134753128952246f4f4e4bd">modular_inverse_fermat_little_theorem.cpp</a></li>
|
||||
<li>it_ternary_search() : <a class="el" href="dc/dfe/ternary__search_8cpp.html#ae30dfe2894191bfeffe5b3b1854b95b0">ternary_search.cpp</a></li>
|
||||
</ul>
|
||||
</div><!-- contents -->
|
||||
|
||||
@@ -117,7 +117,6 @@ $(function(){initNavTree('globals_i.html',''); initResizable(true); });
|
||||
<li>is_happy() : <a class="el" href="db/df3/happy__number_8cpp.html#a00ccdb1166a7c83ac3c33ac67a2532b7">happy_number.cpp</a></li>
|
||||
<li>is_square() : <a class="el" href="dc/d38/ordinary__least__squares__regressor_8cpp.html#a8fa731952b0ee3bc7ec51c51ed21911e">ordinary_least_squares_regressor.cpp</a></li>
|
||||
<li>IsPrime() : <a class="el" href="da/d7b/primality__test_8cpp.html#a2bfa6adead2bdcbf1dac94cbe08d7eaf">primality_test.cpp</a></li>
|
||||
<li>isPrime() : <a class="el" href="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>
|
||||
</ul>
|
||||
|
||||
135
namespaces.html
@@ -192,74 +192,75 @@ $(function(){initNavTree('namespaces.html',''); initResizable(true); });
|
||||
<tr id="row_74_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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/" target="_blank">minimum coin exchange</a> problem </td></tr>
|
||||
<tr id="row_75_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d12/namespace_minimum.html" target="_self">Minimum</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Edit_distance" target="_blank">Minimum Edit Distance</a> algorithm </td></tr>
|
||||
<tr id="row_76_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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" target="_blank">Modular Division</a> implementation </td></tr>
|
||||
<tr id="row_77_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/da4/namespacemonte__carlo.html" target="_self">monte_carlo</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Monte_Carlo_integration" target="_blank">Monte Carlo Integration</a> implementation </td></tr>
|
||||
<tr id="row_78_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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 [Morse Code] (<a href="https://en.wikipedia.org/wiki/Morse_code">https://en.wikipedia.org/wiki/Morse_code</a>) </td></tr>
|
||||
<tr id="row_79_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d36/namespacen__bonacci.html" target="_self">n_bonacci</a></td><td class="desc">Functions for the <a href="http://oeis.org/wiki/N-bonacci_numbers" target="_blank">N-bonacci</a> implementation </td></tr>
|
||||
<tr id="row_80_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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" target="_blank">Eight Queens</a> puzzle </td></tr>
|
||||
<tr id="row_81_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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 the <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle" target="_blank">Eight Queens</a> puzzle with all solutions </td></tr>
|
||||
<tr id="row_82_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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" target="_blank">Eight Queens</a> puzzle optimized </td></tr>
|
||||
<tr id="row_83_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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" target="_blank">nCr modulo p</a> implementation </td></tr>
|
||||
<tr id="row_84_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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_85_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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 assert </td></tr>
|
||||
<tr id="row_86_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/d6d/namespaceoperations__on__datastructures.html" target="_self">operations_on_datastructures</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
|
||||
<tr id="row_87_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;"> </span><span id="arr_87_" class="arrow" onclick="dynsection.toggleFolder('87_')">►</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d6f/namespaceothers.html" target="_self">others</a></td><td class="desc">For <code>vector</code> </td></tr>
|
||||
<tr id="row_87_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="db/dde/namespaceothers_1_1_cache.html" target="_self">Cache</a></td><td class="desc"><a class="el" href="db/dde/namespaceothers_1_1_cache.html" title="Cache algorithm.">Cache</a> algorithm </td></tr>
|
||||
<tr id="row_88_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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/" target="_blank">Palindrome Partitioning</a> algorithm </td></tr>
|
||||
<tr id="row_89_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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" target="_blank">Pancake sort</a> algorithm </td></tr>
|
||||
<tr id="row_90_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/dd0/namespacephysics.html" target="_self">physics</a></td><td class="desc">For IO operations </td></tr>
|
||||
<tr id="row_91_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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_92_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d88/namespaceprefix__sum__array.html" target="_self">prefix_sum_array</a></td><td class="desc">Range sum queries using prefix-sum-array </td></tr>
|
||||
<tr id="row_93_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/ded/namespaceprobability.html" target="_self">probability</a></td><td class="desc">Probability algorithms </td></tr>
|
||||
<tr id="row_94_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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" target="_blank">QR decomposition</a> of any rectangular matrix </td></tr>
|
||||
<tr id="row_95_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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" target="_blank">quadratic probing</a> algorithm </td></tr>
|
||||
<tr id="row_96_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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 class="el" href="dc/db5/struct_queue.html">Queue</a> using Array] (<a href="https://www.geeksforgeeks.org/array-implementation-of-queue-simple/">https://www.geeksforgeeks.org/array-implementation-of-queue-simple/</a>) implementation </td></tr>
|
||||
<tr id="row_97_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d2b/namespacequick__sort.html" target="_self">quick_sort</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Quicksort" target="_blank">Quick sort implementation</a> in C++ </td></tr>
|
||||
<tr id="row_98_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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" target="_blank">Radix sort</a> algorithm </td></tr>
|
||||
<tr id="row_99_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d6b/namespacerandom__pivot__quick__sort.html" target="_self">random_pivot_quick_sort</a></td><td class="desc">Functions for the <a href="https://www.sanfoundry.com/cpp-program-implement-quick-sort-using-randomisation" target="_blank">Random Pivot Quick Sort</a> implementation </td></tr>
|
||||
<tr id="row_100_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
|
||||
<tr id="row_101_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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 <a href="https://www.codesdope.com/blog/article/backtracking-to-
|
||||
<tr id="row_77_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d50/namespacemodular__inverse__fermat.html" target="_self">modular_inverse_fermat</a></td><td class="desc">Calculate modular inverse using Fermat's Little Theorem </td></tr>
|
||||
<tr id="row_78_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/da4/namespacemonte__carlo.html" target="_self">monte_carlo</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Monte_Carlo_integration" target="_blank">Monte Carlo Integration</a> implementation </td></tr>
|
||||
<tr id="row_79_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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 [Morse Code] (<a href="https://en.wikipedia.org/wiki/Morse_code">https://en.wikipedia.org/wiki/Morse_code</a>) </td></tr>
|
||||
<tr id="row_80_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d36/namespacen__bonacci.html" target="_self">n_bonacci</a></td><td class="desc">Functions for the <a href="http://oeis.org/wiki/N-bonacci_numbers" target="_blank">N-bonacci</a> implementation </td></tr>
|
||||
<tr id="row_81_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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" target="_blank">Eight Queens</a> puzzle </td></tr>
|
||||
<tr id="row_82_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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 the <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle" target="_blank">Eight Queens</a> puzzle with all solutions </td></tr>
|
||||
<tr id="row_83_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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" target="_blank">Eight Queens</a> puzzle optimized </td></tr>
|
||||
<tr id="row_84_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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" target="_blank">nCr modulo p</a> implementation </td></tr>
|
||||
<tr id="row_85_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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_86_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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 assert </td></tr>
|
||||
<tr id="row_87_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/d6d/namespaceoperations__on__datastructures.html" target="_self">operations_on_datastructures</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
|
||||
<tr id="row_88_" class="even"><td class="entry"><span style="width:0px;display:inline-block;"> </span><span id="arr_88_" class="arrow" onclick="dynsection.toggleFolder('88_')">►</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d6f/namespaceothers.html" target="_self">others</a></td><td class="desc">For <code>vector</code> </td></tr>
|
||||
<tr id="row_88_0_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="db/dde/namespaceothers_1_1_cache.html" target="_self">Cache</a></td><td class="desc"><a class="el" href="db/dde/namespaceothers_1_1_cache.html" title="Cache algorithm.">Cache</a> algorithm </td></tr>
|
||||
<tr id="row_89_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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/" target="_blank">Palindrome Partitioning</a> algorithm </td></tr>
|
||||
<tr id="row_90_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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" target="_blank">Pancake sort</a> algorithm </td></tr>
|
||||
<tr id="row_91_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/dd0/namespacephysics.html" target="_self">physics</a></td><td class="desc">For IO operations </td></tr>
|
||||
<tr id="row_92_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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_93_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d88/namespaceprefix__sum__array.html" target="_self">prefix_sum_array</a></td><td class="desc">Range sum queries using prefix-sum-array </td></tr>
|
||||
<tr id="row_94_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/ded/namespaceprobability.html" target="_self">probability</a></td><td class="desc">Probability algorithms </td></tr>
|
||||
<tr id="row_95_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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" target="_blank">QR decomposition</a> of any rectangular matrix </td></tr>
|
||||
<tr id="row_96_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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" target="_blank">quadratic probing</a> algorithm </td></tr>
|
||||
<tr id="row_97_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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 class="el" href="dc/db5/struct_queue.html">Queue</a> using Array] (<a href="https://www.geeksforgeeks.org/array-implementation-of-queue-simple/">https://www.geeksforgeeks.org/array-implementation-of-queue-simple/</a>) implementation </td></tr>
|
||||
<tr id="row_98_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d2b/namespacequick__sort.html" target="_self">quick_sort</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Quicksort" target="_blank">Quick sort implementation</a> in C++ </td></tr>
|
||||
<tr id="row_99_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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" target="_blank">Radix sort</a> algorithm </td></tr>
|
||||
<tr id="row_100_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d6b/namespacerandom__pivot__quick__sort.html" target="_self">random_pivot_quick_sort</a></td><td class="desc">Functions for the <a href="https://www.sanfoundry.com/cpp-program-implement-quick-sort-using-randomisation" target="_blank">Random Pivot Quick Sort</a> implementation </td></tr>
|
||||
<tr id="row_101_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
|
||||
<tr id="row_102_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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 <a href="https://www.codesdope.com/blog/article/backtracking-to-
|
||||
solve-a-rat-in-a-maze-c-java-pytho/" target="_blank">Rat in a Maze</a> algorithm </td></tr>
|
||||
<tr id="row_102_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="dc/dc5/namespacereverse__binary__tree.html" target="_self">reverse_binary_tree</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/reverse-tree-path/" target="_blank">Reverse a Binary Tree</a> implementation </td></tr>
|
||||
<tr id="row_103_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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" target="_blank">Runge Kutta fourth order</a> method </td></tr>
|
||||
<tr id="row_104_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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" target="_blank">Saddleback Algorithm</a> </td></tr>
|
||||
<tr id="row_105_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/dca/namespacesearch.html" target="_self">search</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
|
||||
<tr id="row_106_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d4a/namespaceselection__sort__recursive.html" target="_self">selection_sort_recursive</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Selection_sort" target="_blank">Selection sort</a> implementation using recursion </td></tr>
|
||||
<tr id="row_107_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d88/namespaceset_kth_bit.html" target="_self">setKthBit</a></td><td class="desc">Functions for the [From the right, set the Kth bit in the binary representation of N] (<a href="https://practice.geeksforgeeks.org/problems/set-kth-bit3724/1/">https://practice.geeksforgeeks.org/problems/set-kth-bit3724/1/</a>) implementation </td></tr>
|
||||
<tr id="row_108_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/dd3/namespace_s_h_a.html" target="_self">SHA</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/SHA-1" target="_blank">SHA-1</a> algorithm implementation </td></tr>
|
||||
<tr id="row_109_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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_110_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/d6d/namespacesimpson__method.html" target="_self">simpson_method</a></td><td class="desc">Contains the Simpson's method implementation </td></tr>
|
||||
<tr id="row_111_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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">For working with vectors </td></tr>
|
||||
<tr id="row_112_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d55/namespacesparse__table.html" target="_self">sparse_table</a></td><td class="desc">Functions for Implementation of <a href="https://brilliant.org/wiki/sparse-table/" target="_blank">Sparse Table</a> </td></tr>
|
||||
<tr id="row_113_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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_114_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d1c/namespacestack__using__queue.html" target="_self">stack_using_queue</a></td><td class="desc">Functions for the <a href="https://www.studytonight.com/data-structures/stack-using-queue" target="_blank">Stack Using Queue</a> implementation </td></tr>
|
||||
<tr id="row_115_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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_116_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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_117_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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" target="_blank">Strand Sort</a> algorithm </td></tr>
|
||||
<tr id="row_118_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/d91/namespacestrassens__multiplication.html" target="_self">strassens_multiplication</a></td><td class="desc">Namespace for performing strassen's multiplication </td></tr>
|
||||
<tr id="row_119_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/dd6/namespacestring.html" target="_self">string</a></td><td class="desc">String manipulation algorithms </td></tr>
|
||||
<tr id="row_120_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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_121_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;"> </span><span id="arr_121_" class="arrow" onclick="dynsection.toggleFolder('121_')">►</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">String algorithms </td></tr>
|
||||
<tr id="row_121_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/dbc/namespacestrings_1_1boyer__moore.html" target="_self">boyer_moore</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Boyer%E2%80%93Moore_string-search_algorithm" target="_blank">Boyer Moore</a> algorithm implementation </td></tr>
|
||||
<tr id="row_122_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d74/namespacesubarray__sum.html" target="_self">subarray_sum</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem" target="_blank">Subset sum</a> implementation </td></tr>
|
||||
<tr id="row_123_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/def/namespacesublist__search.html" target="_self">sublist_search</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/sublist-search-search-a-linked-list-in-another-list" target="_blank">Sublist Search</a> implementation </td></tr>
|
||||
<tr id="row_124_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="dc/d3a/namespacesubset__sum.html" target="_self">subset_sum</a></td><td class="desc">Functions for [Sub-set sum problem] (<a href="https://en.wikipedia.org/wiki/Subset_sum_problem">https://en.wikipedia.org/wiki/Subset_sum_problem</a>) algorithm </td></tr>
|
||||
<tr id="row_125_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d95/namespace_subsets.html" target="_self">Subsets</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem" target="_blank">Subset Sum</a> problem </td></tr>
|
||||
<tr id="row_126_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d9f/namespacesudoku__solver.html" target="_self">sudoku_solver</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Sudoku" target="_blank">Sudoku Solver</a> implementation </td></tr>
|
||||
<tr id="row_127_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/df4/namespacetests.html" target="_self">tests</a></td><td class="desc">Testcases to check Union of Two Arrays </td></tr>
|
||||
<tr id="row_128_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d3f/namespacetravelling_salesman__bitmanipulation.html" target="_self">travellingSalesman_bitmanipulation</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/travelling-salesman-problem-set-1/" target="_blank">Travelling Salesman Bitmask</a> implementation </td></tr>
|
||||
<tr id="row_129_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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" target="_blank">2–3–4 tree</a> </td></tr>
|
||||
<tr id="row_130_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d8e/namespacetrie__operations.html" target="_self">trie_operations</a></td><td class="desc">Functions for <a href="https://iq.opengenus.org/autocomplete-using-trie-data-structure/" target="_blank">Trie datastructure</a> implementation </td></tr>
|
||||
<tr id="row_131_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d0a/namespacetrie__using__hashmap.html" target="_self">trie_using_hashmap</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Trie" target="_blank">Trie</a> data structure using hashmap implementation </td></tr>
|
||||
<tr id="row_132_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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_133_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d84/namespaceutils.html" target="_self">utils</a></td><td class="desc">This namespace contains the definitions of the functions called from the class <a class="el" href="d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html" title="Class which contains all methods required for calculating nCr mod p.">math::ncr_modulo_p::NCRModuloP</a> </td></tr>
|
||||
<tr id="row_134_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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_135_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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" target="_blank">vigenère cipher</a> algorithm </td></tr>
|
||||
<tr id="row_136_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d21/namespacewave__sort.html" target="_self">wave_sort</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/sort-array-wave-form-2/" target="_blank">Wave sort</a> implementation </td></tr>
|
||||
<tr id="row_137_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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/" target="_blank">Wiggle Sort</a> algorithm </td></tr>
|
||||
<tr id="row_138_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="db/d03/namespacewildcard__matching.html" target="_self">wildcard_matching</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/wildcard-pattern-matching/" target="_blank">Wildcard Matching</a> problem </td></tr>
|
||||
<tr id="row_139_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d21/namespacewindowed__median.html" target="_self">windowed_median</a></td><td class="desc">Functions for the Windowed Median algorithm implementation </td></tr>
|
||||
<tr id="row_140_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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/" target="_blank">Word Break</a> problem </td></tr>
|
||||
<tr id="row_141_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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" target="_blank">XOR cipher</a> algorithm </td></tr>
|
||||
<tr id="row_103_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="dc/dc5/namespacereverse__binary__tree.html" target="_self">reverse_binary_tree</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/reverse-tree-path/" target="_blank">Reverse a Binary Tree</a> implementation </td></tr>
|
||||
<tr id="row_104_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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" target="_blank">Runge Kutta fourth order</a> method </td></tr>
|
||||
<tr id="row_105_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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" target="_blank">Saddleback Algorithm</a> </td></tr>
|
||||
<tr id="row_106_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/dca/namespacesearch.html" target="_self">search</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
|
||||
<tr id="row_107_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d4a/namespaceselection__sort__recursive.html" target="_self">selection_sort_recursive</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Selection_sort" target="_blank">Selection sort</a> implementation using recursion </td></tr>
|
||||
<tr id="row_108_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d88/namespaceset_kth_bit.html" target="_self">setKthBit</a></td><td class="desc">Functions for the [From the right, set the Kth bit in the binary representation of N] (<a href="https://practice.geeksforgeeks.org/problems/set-kth-bit3724/1/">https://practice.geeksforgeeks.org/problems/set-kth-bit3724/1/</a>) implementation </td></tr>
|
||||
<tr id="row_109_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/dd3/namespace_s_h_a.html" target="_self">SHA</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/SHA-1" target="_blank">SHA-1</a> algorithm implementation </td></tr>
|
||||
<tr id="row_110_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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_111_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/d6d/namespacesimpson__method.html" target="_self">simpson_method</a></td><td class="desc">Contains the Simpson's method implementation </td></tr>
|
||||
<tr id="row_112_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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">For working with vectors </td></tr>
|
||||
<tr id="row_113_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d55/namespacesparse__table.html" target="_self">sparse_table</a></td><td class="desc">Functions for Implementation of <a href="https://brilliant.org/wiki/sparse-table/" target="_blank">Sparse Table</a> </td></tr>
|
||||
<tr id="row_114_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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_115_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d1c/namespacestack__using__queue.html" target="_self">stack_using_queue</a></td><td class="desc">Functions for the <a href="https://www.studytonight.com/data-structures/stack-using-queue" target="_blank">Stack Using Queue</a> implementation </td></tr>
|
||||
<tr id="row_116_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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_117_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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_118_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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" target="_blank">Strand Sort</a> algorithm </td></tr>
|
||||
<tr id="row_119_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/d91/namespacestrassens__multiplication.html" target="_self">strassens_multiplication</a></td><td class="desc">Namespace for performing strassen's multiplication </td></tr>
|
||||
<tr id="row_120_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/dd6/namespacestring.html" target="_self">string</a></td><td class="desc">String manipulation algorithms </td></tr>
|
||||
<tr id="row_121_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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_122_" class="even"><td class="entry"><span style="width:0px;display:inline-block;"> </span><span id="arr_122_" class="arrow" onclick="dynsection.toggleFolder('122_')">►</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">String algorithms </td></tr>
|
||||
<tr id="row_122_0_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/dbc/namespacestrings_1_1boyer__moore.html" target="_self">boyer_moore</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Boyer%E2%80%93Moore_string-search_algorithm" target="_blank">Boyer Moore</a> algorithm implementation </td></tr>
|
||||
<tr id="row_123_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d74/namespacesubarray__sum.html" target="_self">subarray_sum</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem" target="_blank">Subset sum</a> implementation </td></tr>
|
||||
<tr id="row_124_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/def/namespacesublist__search.html" target="_self">sublist_search</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/sublist-search-search-a-linked-list-in-another-list" target="_blank">Sublist Search</a> implementation </td></tr>
|
||||
<tr id="row_125_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="dc/d3a/namespacesubset__sum.html" target="_self">subset_sum</a></td><td class="desc">Functions for [Sub-set sum problem] (<a href="https://en.wikipedia.org/wiki/Subset_sum_problem">https://en.wikipedia.org/wiki/Subset_sum_problem</a>) algorithm </td></tr>
|
||||
<tr id="row_126_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d95/namespace_subsets.html" target="_self">Subsets</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem" target="_blank">Subset Sum</a> problem </td></tr>
|
||||
<tr id="row_127_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d9f/namespacesudoku__solver.html" target="_self">sudoku_solver</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Sudoku" target="_blank">Sudoku Solver</a> implementation </td></tr>
|
||||
<tr id="row_128_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/df4/namespacetests.html" target="_self">tests</a></td><td class="desc">Testcases to check Union of Two Arrays </td></tr>
|
||||
<tr id="row_129_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d3f/namespacetravelling_salesman__bitmanipulation.html" target="_self">travellingSalesman_bitmanipulation</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/travelling-salesman-problem-set-1/" target="_blank">Travelling Salesman Bitmask</a> implementation </td></tr>
|
||||
<tr id="row_130_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </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" target="_blank">2–3–4 tree</a> </td></tr>
|
||||
<tr id="row_131_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d8e/namespacetrie__operations.html" target="_self">trie_operations</a></td><td class="desc">Functions for <a href="https://iq.opengenus.org/autocomplete-using-trie-data-structure/" target="_blank">Trie datastructure</a> implementation </td></tr>
|
||||
<tr id="row_132_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d0a/namespacetrie__using__hashmap.html" target="_self">trie_using_hashmap</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Trie" target="_blank">Trie</a> data structure using hashmap implementation </td></tr>
|
||||
<tr id="row_133_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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_134_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d84/namespaceutils.html" target="_self">utils</a></td><td class="desc">This namespace contains the definitions of the functions called from the class <a class="el" href="d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html" title="Class which contains all methods required for calculating nCr mod p.">math::ncr_modulo_p::NCRModuloP</a> </td></tr>
|
||||
<tr id="row_135_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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>
|
||||
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<tr id="row_141_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;"> </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/" target="_blank">Word Break</a> problem </td></tr>
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