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<div class="textblock"><p>A numerical method for easy <a href="https://en.wikipedia.org/wiki/Midpoint_method" target="_blank">approximation of integrals</a> </p>
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<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Disjoint-set-data_structure" target="_blank">DSU (Disjoint sets)</a> </p>
<p>dsu : It is a very powerful data structure which keeps track of different clusters(sets) of elements, these sets are disjoint(doesnot have a common
element). Disjoint sets uses cases : for finding connected components in a graph, used in Kruskal's algorithm for finding <a class="el" href="../../d4/d12/namespace_minimum.html" title="Implementation of Minimum Edit Distance algorithm.">Minimum</a> Spanning tree. Operations that can be performed: 1) UnionSet(i,j): add(element i and j to the set) 2) findSet(i): returns the representative of the set to which i belogngs to. 3) getParents(i): prints the parent of i and so on and so forth. Below is the class-based approach which uses the heuristic of union-ranks. Using union-rank in findSet(i),we are able to get to the representative of i in slightly delayed O(logN) time but it allows us to keep tracks of the parent of i. </p><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/AayushVyasKIIT" target="_blank">AayushVyasKIIT</a> </dd></dl>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Implementation of <a href="https://cryptobook.nakov.com/asymmetric-key-ciphers/ecdh-key-exchange" target="_blank">Elliptic Curve Diffie Hellman Key Exchange</a>. </p>
<p>The ECDH (Elliptic Curve Diffie–Hellman Key Exchange) is anonymous key agreement scheme, which allows two parties, each having an elliptic-curve public–private key pair, to establish a shared secret over an insecure channel. ECDH is very similar to the classical DHKE (Diffie–Hellman Key Exchange) algorithm, but it uses ECC point multiplication instead of modular exponentiations. ECDH is based on the following property of EC points: (a * G) * b = (b * G) * a If we have two secret numbers a and b (two private keys, belonging to Alice and Bob) and an ECC elliptic curve with generator point G, we can exchange over an insecure channel the values (a * G) and (b * G) (the public keys of Alice and Bob) and then we can derive a shared secret: secret = (a * G) * b = (b * G) * a. Pretty simple. The above equation takes the following form: alicePubKey * bobPrivKey = bobPubKey * alicePrivKey = secret </p><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/AshishYUO" target="_blank">Ashish Daulatabad</a> </dd></dl>
<p class="definition">Definition in file <a class="el" href="../../df/d2c/elliptic__curve__key__exchange_8cpp_source.html">elliptic_curve_key_exchange.cpp</a>.</p>
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Classes</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/dde/classbinary__search__tree.html">binary_search_tree&lt; T &gt;</a></td></tr>
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<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">The Binary Search Tree class. <a href="../../d9/dde/classbinary__search__tree.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/db6/structbinary__search__tree_1_1bst__node.html">binary_search_tree&lt; T &gt;::bst_node</a></td></tr>
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<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">A struct to represent a node in the Binary Search Tree. <a href="../../dd/db6/structbinary__search__tree_1_1bst__node.html#details">More...</a><br /></td></tr>
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Functions</h2></td></tr>
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<tr class="memdesc:a8c882f43e1e52948a7841a8bfb091350"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function for testing <a class="el" href="../../d8/dee/avltree_8cpp.html#a2473fe7416332495b2678ebe89652e4b" title="inserts a new element into AVL tree">insert()</a>. <br /></td></tr>
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<tr class="memdesc:ab00b8d0f21aeb5fbddb6decf3bcb640a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function for testing get_elements_preorder(). <br /></td></tr>
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<tr class="memdesc:a94b76f781fcbe1ad0e3397ace6bb1965"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function for testing get_elements_postorder(). <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
<div class="textblock"><p>A generic <a href="https://en.wikipedia.org/wiki/Binary_search_tree" target="_blank">binary search tree</a> implementation. Here you can find more information about the algorithm: <a href="https://www.scaler.com/topics/data-structures/binary-search-tree/" target="_blank">Scaler - Binary Search tree</a>. </p>
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<p class="definition">Definition in file <a class="el" href="../../df/d42/binary__search__tree2_8cpp_source.html">binary_search_tree2.cpp</a>.</p>
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<p>Function for testing contains(). </p>
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<p>Function for testing find_max(). </p>
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<p>Function for testing find_min(). </p>
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<p>Function for testing get_elements_inorder(). </p>
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<p>Function for testing get_elements_postorder(). </p>
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<p>Function for testing get_elements_preorder(). </p>
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<p>Function for testing remove(). </p>
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<p>Functions for the <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle" target="_blank">Eight Queens</a> puzzle with all solutions.
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<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self-test implementations. <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Implementation of <a class="el" href="../../dd/dca/class_f_c_f_s.html" title="Class which implements the FCFS scheduling algorithm.">FCFS</a> CPU scheduling algorithm. </p>
<p><a class="el" href="../../dd/dca/class_f_c_f_s.html" title="Class which implements the FCFS scheduling algorithm.">FCFS</a> is a non-preemptive CPU scheduling algorithm in which whichever process arrives first, gets executed first. If two or more processes arrive simultaneously, the process with smaller process ID gets executed first. <a class="el" href="">https://bit.ly/3ABNXOC</a>Pratyush Vatsa </p>
<p class="definition">Definition in file <a class="el" href="../../df/d47/fcfs__scheduling_8cpp_source.html">fcfs_scheduling.cpp</a>.</p>
</div><h2 class="groupheader">Function Documentation</h2>
</div><a name="doc-func-members" id="doc-func-members"></a><h2 id="header-doc-func-members" class="groupheader">Function Documentation</h2>
<a id="a8f2b90cb64d63a7080965e66a05ccf86" name="a8f2b90cb64d63a7080965e66a05ccf86"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8f2b90cb64d63a7080965e66a05ccf86">&#9670;&#160;</a></span>get_final_status()</h2>
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<td></td>
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<tr class="memdesc:d4/d91/namespacevector__cross"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for Vector Cross Product algorithms. <br /></td></tr>
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<tr class="memdesc:a225732399c5c076976eae5b180a9f8c9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function to calculate the cross product of the passed arrays containing the direction ratios of the two mathematical vectors. <br /></td></tr>
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<div class="textblock"><p>Calculates the <a href="https://en.wikipedia.org/wiki/Cross_product" target="_blank">Cross Product</a> and the magnitude of two mathematical 3D vectors. </p>
<p>Cross Product of two vectors gives a vector. Direction Ratios of a vector are the numeric parts of the given vector. They are the tree parts of the vector which determine the magnitude (value) of the vector. The method of finding a cross product is the same as finding the determinant of an order 3 matrix consisting of the first row with unit vectors of magnitude 1, the second row with the direction ratios of the first vector and the third row with the direction ratios of the second vector. The magnitude of a vector is it's value expressed as a number. Let the direction ratios of the first vector, P be: a, b, c Let the direction ratios of the second vector, Q be: x, y, z Therefore the calculation for the cross product can be arranged as:</p>
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<p>Therefore, the direction ratios of the cross product are: J, A, N The following C++ Program calculates the direction ratios of the cross products of two vector. The program uses a function, cross() for doing so. The direction ratios for the first and the second vector has to be passed one by one seperated by a space character.</p>
<p>Magnitude of a vector is the square root of the sum of the squares of the direction ratios.</p>
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<p>An example of a running instance of the executable program:</p>
<p>Pass the first Vector: 1 2 3 Pass the second Vector: 4 5 6 The cross product is: -3 6 -3 Magnitude: 7.34847</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/Shreyas-OwO" target="_blank">Shreyas Sable</a> </dd></dl>
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<div class="header">
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<p>namespace <a class="el" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html" title="namespace elliptic_curve_key_exchange">elliptic_curve_key_exchange</a>
<a href="#details">More...</a></p>
<table class="memberdecls">
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a></td></tr>
<tr class="memitem:Point" id="r_Point"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Definition of struct <a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html" title="Definition of struct Point.">Point</a>. <a href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="memitem:af0a6e3521629c25c2b5d620f26429830" id="r_af0a6e3521629c25c2b5d620f26429830"><td class="memItemLeft" align="right" valign="top">typedef struct ciphers::elliptic_curve_key_exchange::Point&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#af0a6e3521629c25c2b5d620f26429830">Point</a></td></tr>
<tr class="memdesc:af0a6e3521629c25c2b5d620f26429830"><td class="mdescLeft">&#160;</td><td class="mdescRight">Definition of struct <a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html" title="Definition of struct Point.">Point</a>. <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:ac00616a4e40d3cd5cfb4da87d9ff9af0" id="r_ac00616a4e40d3cd5cfb4da87d9ff9af0"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ac00616a4e40d3cd5cfb4da87d9ff9af0">exp</a> (<a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> number, <a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> <a class="el" href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power</a>, const <a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> &amp;mod)</td></tr>
<tr class="memdesc:ac00616a4e40d3cd5cfb4da87d9ff9af0"><td class="mdescLeft">&#160;</td><td class="mdescRight">This function calculates number raised to exponent power under modulo mod using <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/modular_exponentiation.cpp" target="_blank">Modular Exponentiation</a>. <br /></td></tr>
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<tr class="memdesc:acc5fe9c2032fb7582c38a20d1fa69bcf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Addition of points. <br /></td></tr>
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<tr class="memitem:a17f3d667241b88115a95282cdd719cb2" id="r_a17f3d667241b88115a95282cdd719cb2"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a17f3d667241b88115a95282cdd719cb2">multiply</a> (const <a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> &amp;a, const <a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> &amp;curve_a_coeff, <a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> p, const <a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> &amp;mod)</td></tr>
<tr class="memdesc:a17f3d667241b88115a95282cdd719cb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">multiply <a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html" title="Definition of struct Point.">Point</a> and integer <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
<div class="textblock"><p>namespace <a class="el" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html" title="namespace elliptic_curve_key_exchange">elliptic_curve_key_exchange</a> </p>
<p>Demonstration of <a href="https://cryptobook.nakov.com/asymmetric-key-ciphers/ecdh-key-exchange" target="_blank">Elliptic Curve Diffie-Hellman</a> key exchange. </p>
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<h2 class="memtitle"><span class="permalink"><a href="#af0a6e3521629c25c2b5d620f26429830">&#9670;&#160;</a></span>Point</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#acc5fe9c2032fb7582c38a20d1fa69bcf">&#9670;&#160;</a></span>addition()</h2>
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<dl class="section return"><dt>Returns</dt><dd>the resultant point </dd></dl>
<p>Slope</p>
<p>value zero</p>
<p>slope when the line is tangent to curve. This operation is performed while doubling. Taking derivative of <code>y^2 = x^3 + ax + b</code> =&gt; <code>2y dy = (3 * x^2 + a)dx</code> =&gt; <code>(dy/dx) = (3x^2 + a)/(2y)</code></p>
<p>slope when the line is tangent to curve. This operation is performed while doubling. Taking derivative of <span class="tt">y^2 = x^3 + ax + b</span> =&gt; <span class="tt">2y dy = (3 * x^2 + a)dx</span> =&gt; <span class="tt">(dy/dx) = (3x^2 + a)/(2y)</span></p>
<p>if y co-ordinate is zero, the slope is infinite, return inf. else calculate the slope (here % mod and store in lambda)</p>
<p class="definition">Definition at line <a class="el" href="../../df/d2c/elliptic__curve__key__exchange_8cpp_source.html#l00110">110</a> of file <a class="el" href="../../df/d2c/elliptic__curve__key__exchange_8cpp_source.html">elliptic_curve_key_exchange.cpp</a>.</p>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/d64/namespacemodular__division.html">modular_division</a></td></tr>
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<tr class="memdesc:d1/d64/namespacemodular__division"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for <a href="https://www.geeksforgeeks.org/modular-division" target="_blank">Modular Division</a> implementation. <br /></td></tr>
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<tr class="memitem:a66cdf93153cbd1408bd74ac68961d179" id="r_a66cdf93153cbd1408bd74ac68961d179"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a66cdf93153cbd1408bd74ac68961d179">math::modular_division::power</a> (uint64_t a, uint64_t b, uint64_t c)</td></tr>
<tr class="memdesc:a66cdf93153cbd1408bd74ac68961d179"><td class="mdescLeft">&#160;</td><td class="mdescRight">This function calculates a raised to exponent b under modulo c using modular exponentiation. <br /></td></tr>
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<tr class="memdesc:a905e368ae121beb7e7ea35349ddcdac7"><td class="mdescLeft">&#160;</td><td class="mdescRight">This function calculates modular division. <br /></td></tr>
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<div class="textblock"><p>An algorithm to divide two numbers under modulo p <a href="https://www.geeksforgeeks.org/modular-division" target="_blank">Modular Division</a> </p>
<p>To calculate division of two numbers under modulo p Modulo operator is not distributive under division, therefore we first have to calculate the inverse of divisor using <a href="https://en.wikipedia.org/wiki/Fermat%27s_little_theorem" target="_blank">Fermat's little theorem</a> Now, we can multiply the dividend with the inverse of divisor and modulo is distributive over multiplication operation. Let, We have 3 numbers a, b, p To compute (a/b)p (a/b)p ≡ (a*(inverse(b)))p ≡ ((ap)*inverse(b)p)p NOTE: For the existence of inverse of 'b', 'b' and 'p' must be coprime For simplicity we take p as prime Time Complexity: O(log(b)) Example: ( 24 / 3 ) % 5 =&gt; 8 % 5 = 3 &mdash; (i) Now the inverse of 3 is 2 (24 * 2) % 5 = (24 % 5) * (2 % 5) = (4 * 2) % 5 = 3 &mdash; (ii) (i) and (ii) are equal hence the answer is correct. </p><dl class="section see"><dt>See also</dt><dd><a class="el" href="../../d8/d53/modular__inverse__fermat__little__theorem_8cpp.html" title="C++ Program to find the modular inverse using Fermat&#39;s Little Theorem">modular_inverse_fermat_little_theorem.cpp</a>, <a class="el" href="../../d0/d6d/modular__exponentiation_8cpp.html" title="C++ Program for Modular Exponentiation Iteratively.">modular_exponentiation.cpp</a> </dd></dl>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/shubhamamsa" target="_blank">Shubham Yadav</a> </dd></dl>
<p class="definition">Definition in file <a class="el" href="../../df/d72/modular__division_8cpp_source.html">modular_division.cpp</a>.</p>
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<p>Function for testing power function. test cases and assert statement. </p><dl class="section return"><dt>Returns</dt><dd><code>void</code> </dd></dl>
<p>Function for testing power function. test cases and assert statement. </p><dl class="section return"><dt>Returns</dt><dd><span class="tt">void</span> </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../df/d72/modular__division_8cpp_source.html#l00089">89</a> of file <a class="el" href="../../df/d72/modular__division_8cpp_source.html">modular_division.cpp</a>.</p>
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<p>Functions for the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem" target="_blank">Subset sum</a> implementation.
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/dc0/namespacebacktracking.html">backtracking</a></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/d74/namespacesubarray__sum.html">subarray_sum</a></td></tr>
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<tr class="memdesc:df/d74/namespacesubarray__sum"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem" target="_blank">Subset sum</a> implementation. <br /></td></tr>
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<tr class="memdesc:af5687bbd9faf927fbd363c71e0baba5e"><td class="mdescLeft">&#160;</td><td class="mdescRight">The main function that implements the count of the subarrays. <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Subset_sum_problem" target="_blank">Subset-sum</a> (only continuous subsets) problem </p>
<p>We are given an array and a sum value. The algorithms find all the subarrays of that array with sum equal to the given sum and return such subarrays count. This approach will have \(O(n)\) time complexity and \(O(n)\) space complexity. NOTE: In this problem, we are only referring to the continuous subsets as subarrays everywhere. Subarrays can be created using deletion operation at the end of the front of an array only. The parent array is also counted in subarrays having 0 number of deletion operations.</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/Swastyy" target="_blank">Swastika Gupta</a> </dd></dl>
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<div class="textblock"><p>String algorithms. </p>
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Functions</h2></td></tr>
<tr class="memitem:a9125ceb66bfbec3093bba64c2c1e99e2" id="r_a9125ceb66bfbec3093bba64c2c1e99e2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a9125ceb66bfbec3093bba64c2c1e99e2">addEdge</a> (std::vector&lt; std::vector&lt; int &gt; &gt; *adj, int u, int v)</td></tr>
<tr class="memdesc:a9125ceb66bfbec3093bba64c2c1e99e2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function that add edge between two nodes or vertices of graph. <br /></td></tr>
<tr class="separator:a9125ceb66bfbec3093bba64c2c1e99e2"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="memdesc:a3ae80bc4c6a79d041b4f3a6589eb7fb8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Utility function for depth first seach algorithm this function explores the vertex which is passed into. <br /></td></tr>
<tr class="separator:a3ae80bc4c6a79d041b4f3a6589eb7fb8"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="memdesc:a83ab16e96cec644109a58dfc9329bc2b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function that perfoms depth first search algorithm on graph and calculated the number of connected components. <br /></td></tr>
<tr class="separator:a83ab16e96cec644109a58dfc9329bc2b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="memdesc:ad4016cfc80485a43748895a2c26c7d08"><td class="mdescLeft">&#160;</td><td class="mdescRight">Adds and edge between two vertices of graph say u and v in this case. <br /></td></tr>
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<tr class="memdesc:a64c1db5aad7502c6f08e4652f6edd463"><td class="mdescLeft">&#160;</td><td class="mdescRight">Explores the given vertex, exploring a vertex means traversing over all the vertices which are connected to the vertex that is currently being explored. <br /></td></tr>
<tr class="separator:a64c1db5aad7502c6f08e4652f6edd463"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="memdesc:ab5428a3519267a28bba4b4310cfbb6ae"><td class="mdescLeft">&#160;</td><td class="mdescRight">initiates depth first search algorithm. <br /></td></tr>
<tr class="separator:ab5428a3519267a28bba4b4310cfbb6ae"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0e30e0dca68cb6e4f671440819b35b6a" id="r_a0e30e0dca68cb6e4f671440819b35b6a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a0e30e0dca68cb6e4f671440819b35b6a">addEdge</a> (std::vector&lt; std::vector&lt; std::pair&lt; int, int &gt; &gt; &gt; *adj, int u, int v, int w)</td></tr>
<tr class="memdesc:a0e30e0dca68cb6e4f671440819b35b6a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function that add edge between two nodes or vertices of graph. <br /></td></tr>
<tr class="separator:a0e30e0dca68cb6e4f671440819b35b6a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:adc68cbc8ba09eb1142265935c0d45b84" id="r_adc68cbc8ba09eb1142265935c0d45b84"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#adc68cbc8ba09eb1142265935c0d45b84">dijkstra</a> (std::vector&lt; std::vector&lt; std::pair&lt; int, int &gt; &gt; &gt; *adj, int s, int t)</td></tr>
<tr class="memdesc:adc68cbc8ba09eb1142265935c0d45b84"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function runs the dijkstra algorithm for some source vertex and target vertex in the graph and returns the shortest distance of target from the source. <br /></td></tr>
<tr class="separator:adc68cbc8ba09eb1142265935c0d45b84"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8e1b547cd407c0774e63f0dc95cda9e7" id="r_a8e1b547cd407c0774e63f0dc95cda9e7"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a8e1b547cd407c0774e63f0dc95cda9e7">checkBipartite</a> (const std::vector&lt; std::vector&lt; int64_t &gt; &gt; &amp;graph, int64_t index, std::vector&lt; int64_t &gt; *visited)</td></tr>
<tr class="memdesc:a8e1b547cd407c0774e63f0dc95cda9e7"><td class="mdescLeft">&#160;</td><td class="mdescRight">function to check whether the passed graph is bipartite or not <br /></td></tr>
<tr class="separator:a8e1b547cd407c0774e63f0dc95cda9e7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a84b0551489c613a681cc83b34450da4b" id="r_a84b0551489c613a681cc83b34450da4b"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a84b0551489c613a681cc83b34450da4b">isBipartite</a> (const std::vector&lt; std::vector&lt; int64_t &gt; &gt; &amp;graph)</td></tr>
<tr class="memdesc:a84b0551489c613a681cc83b34450da4b"><td class="mdescLeft">&#160;</td><td class="mdescRight">returns true if the given graph is bipartite else returns false <br /></td></tr>
<tr class="separator:a84b0551489c613a681cc83b34450da4b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab7706341d006e20d1ae58274187a3346" id="r_ab7706341d006e20d1ae58274187a3346"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ab7706341d006e20d1ae58274187a3346">TravellingSalesmanProblem</a> (std::vector&lt; std::vector&lt; uint32_t &gt; &gt; *cities, int32_t src, uint32_t V)</td></tr>
<tr class="memdesc:ab7706341d006e20d1ae58274187a3346"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function calculates the minimum path distance that will cover all the cities starting from the source. <br /></td></tr>
<tr class="separator:ab7706341d006e20d1ae58274187a3346"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
<div class="textblock"><p><a class="el" href="../../dc/d61/classgraph_1_1_graph.html">Graph</a> Algorithms. </p>
<p>for assert</p>
<p>Check whether a given graph is bipartite or not.</p>
@@ -192,7 +166,7 @@ Functions</h2></td></tr>
<p>Graphical algorithms</p>
<p>for std::min for IO operations for limits of integral types for std::vector</p>
<p><a class="el" href="../../dc/d61/classgraph_1_1_graph.html">Graph</a> Algorithms </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a9125ceb66bfbec3093bba64c2c1e99e2">&#9670;&#160;</a></span>addEdge() <span class="overload">[1/3]</span></h2>
@@ -770,11 +744,19 @@ Functions</h2></td></tr>
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42
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@@ -94,10 +87,9 @@ $(function() {
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Include dependency graph for queue_using_two_stacks.cpp:</div>
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Functions</h2></td></tr>
<tr class="memitem:a831ded10ecad88c14a8e22b96f4c1863" id="r_a831ded10ecad88c14a8e22b96f4c1863"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a831ded10ecad88c14a8e22b96f4c1863">queue_test</a> ()</td></tr>
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<div class="textblock"><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/shoniavika" target="_blank">shoniavika</a></dd></dl>
<p>Implementation of a <a class="el" href="../../dc/db5/struct_queue.html">Queue</a> using two Stacks. </p>
<p class="definition">Definition in file <a class="el" href="../../df/dd0/queue__using__two__stacks_8cpp_source.html">queue_using_two_stacks.cpp</a>.</p>
</div><h2 class="groupheader">Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</a></span>main()</h2>
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span><span class="comment"> * @returns 0 on exit</span></div>
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span><span class="keywordtype">int</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> <a class="code hl_function" href="../../d7/db9/hill__cipher_8cpp.html#a3147ad576f8a94a2a6b66948672b452b">test1</a>(); <span class="comment">// run self-test implementation #1</span></div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <a class="code hl_function" href="../../d7/db9/hill__cipher_8cpp.html#a04391124480d2a49f2dec900237b0712">test2</a>(); <span class="comment">// run self-test implementation #2</span></div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> <a class="code hl_function" href="../../d3/dae/dsu__path__compression_8cpp.html#ae7880ce913f3058a35ff106d5be9e243">test1</a>(); <span class="comment">// run self-test implementation #1</span></div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <a class="code hl_function" href="../../d3/dae/dsu__path__compression_8cpp.html#a45d94ead4cf4e1ff9f87c38bc99f59ae">test2</a>(); <span class="comment">// run self-test implementation #2</span></div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <a class="code hl_function" href="../../dd/d0c/hamiltons__cycle_8cpp.html#a0cc94918b6831f308d4fe4fa27f08299">test3</a>(); <span class="comment">// run self-test implementation #3</span></div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> </div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span>}</div>
<div class="ttc" id="adsu__path__compression_8cpp_html_a45d94ead4cf4e1ff9f87c38bc99f59ae"><div class="ttname"><a href="../../d3/dae/dsu__path__compression_8cpp.html#a45d94ead4cf4e1ff9f87c38bc99f59ae">test2</a></div><div class="ttdeci">static void test2()</div><div class="ttdoc">Self-implementations, 2nd test.</div><div class="ttdef"><b>Definition</b> <a href="../../d3/dae/dsu__path__compression_8cpp_source.html#l00187">dsu_path_compression.cpp:187</a></div></div>
<div class="ttc" id="adsu__path__compression_8cpp_html_ae7880ce913f3058a35ff106d5be9e243"><div class="ttname"><a href="../../d3/dae/dsu__path__compression_8cpp.html#ae7880ce913f3058a35ff106d5be9e243">test1</a></div><div class="ttdeci">static void test1()</div><div class="ttdoc">Self-test implementations, 1st test.</div><div class="ttdef"><b>Definition</b> <a href="../../d3/dae/dsu__path__compression_8cpp_source.html#l00170">dsu_path_compression.cpp:170</a></div></div>
<div class="ttc" id="agenerate__parentheses_8cpp_html_gae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../dd/d1e/generate__parentheses_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="../../dd/d1e/generate__parentheses_8cpp_source.html#l00110">generate_parentheses.cpp:110</a></div></div>
<div class="ttc" id="ahamiltons__cycle_8cpp_html_a0cc94918b6831f308d4fe4fa27f08299"><div class="ttname"><a href="../../dd/d0c/hamiltons__cycle_8cpp.html#a0cc94918b6831f308d4fe4fa27f08299">test3</a></div><div class="ttdeci">static void test3()</div><div class="ttdef"><b>Definition</b> <a href="../../dd/d0c/hamiltons__cycle_8cpp_source.html#l00122">hamiltons_cycle.cpp:122</a></div></div>
<div class="ttc" id="ahill__cipher_8cpp_html_a04391124480d2a49f2dec900237b0712"><div class="ttname"><a href="../../d7/db9/hill__cipher_8cpp.html#a04391124480d2a49f2dec900237b0712">test2</a></div><div class="ttdeci">void test2(const std::string &amp;text)</div><div class="ttdoc">Self test 2 - using 8x8 randomly generated key.</div><div class="ttdef"><b>Definition</b> <a href="../../d7/db9/hill__cipher_8cpp_source.html#l00506">hill_cipher.cpp:506</a></div></div>
<div class="ttc" id="ahill__cipher_8cpp_html_a3147ad576f8a94a2a6b66948672b452b"><div class="ttname"><a href="../../d7/db9/hill__cipher_8cpp.html#a3147ad576f8a94a2a6b66948672b452b">test1</a></div><div class="ttdeci">void test1(const std::string &amp;text)</div><div class="ttdoc">Self test 1 - using 3x3 randomly generated key.</div><div class="ttdef"><b>Definition</b> <a href="../../d7/db9/hill__cipher_8cpp_source.html#l00471">hill_cipher.cpp:471</a></div></div>
<div class="ttc" id="anamespacesearch_html"><div class="ttname"><a href="../../d9/dca/namespacesearch.html">search</a></div><div class="ttdoc">for std::assert</div><div class="ttdef"><b>Definition</b> <a href="#l00047">binary_search.cpp:47</a></div></div>
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