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<div id="projectname">Algorithms_in_C++<span id="projectnumber"> 1.0.0</span>
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<div id="projectname">TheAlgorithms/C++<span id="projectnumber"> 1.0.0</span>
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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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<div id="projectbrief">All the algorithms implemented in C++</div>
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@@ -122,7 +139,9 @@ Include dependency graph for dsu_union_rank.cpp:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d7/dda/dsu__union__rank_8cpp__incl.svg" width="336" height="126"><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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<p><a href="../../df/d28/dsu__union__rank_8cpp_source.html">Go to the source code of this file.</a></p>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="nested-classes" name="nested-classes"></a>
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Classes</h2></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d1f/classdsu.html">dsu</a></td></tr>
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@@ -146,6 +165,8 @@ Functions</h2></td></tr>
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<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
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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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<dl class="section see"><dt>See also</dt><dd><a class="el" href="../../d3/dae/dsu__path__compression_8cpp.html" title="DSU (Disjoint sets)">dsu_path_compression.cpp</a> </dd></dl>
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<p class="definition">Definition in file <a class="el" href="../../df/d28/dsu__union__rank_8cpp_source.html">dsu_union_rank.cpp</a>.</p>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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@@ -164,20 +185,17 @@ element). Disjoint sets uses cases : for finding connected components in a graph
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<p>Main function. </p>
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<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
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<p class="definition">Definition at line <a class="el" href="../../df/d28/dsu__union__rank_8cpp_source.html#l00183">183</a> of file <a class="el" href="../../df/d28/dsu__union__rank_8cpp_source.html">dsu_union_rank.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 183</span> {</div>
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<div class="line"><span class="lineno"> 184</span> <a class="code hl_function" href="#ae7880ce913f3058a35ff106d5be9e243">test1</a>(); <span class="comment">// run 1st test case</span></div>
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<div class="line"><span class="lineno"> 185</span> <a class="code hl_function" href="#a45d94ead4cf4e1ff9f87c38bc99f59ae">test2</a>(); <span class="comment">// run 2nd test case</span></div>
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<div class="line"><span class="lineno"> 186</span> </div>
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<div class="line"><span class="lineno"> 187</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 188</span>}</div>
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<div class="ttc" id="adsu__union__rank_8cpp_html_a45d94ead4cf4e1ff9f87c38bc99f59ae"><div class="ttname"><a href="#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> dsu_union_rank.cpp:158</div></div>
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<div class="ttc" id="adsu__union__rank_8cpp_html_ae7880ce913f3058a35ff106d5be9e243"><div class="ttname"><a href="#ae7880ce913f3058a35ff106d5be9e243">test1</a></div><div class="ttdeci">static void test1()</div><div class="ttdoc">Self-implementations, 1st test.</div><div class="ttdef"><b>Definition</b> dsu_union_rank.cpp:134</div></div>
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</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">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../df/d28/dsu__union__rank_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width="602" height="138"><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 class="ttc" id="adsu__union__rank_8cpp_html_a45d94ead4cf4e1ff9f87c38bc99f59ae"><div class="ttname"><a href="#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="../../df/d28/dsu__union__rank_8cpp_source.html#l00158">dsu_union_rank.cpp:158</a></div></div>
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||||
<div class="ttc" id="adsu__union__rank_8cpp_html_ae7880ce913f3058a35ff106d5be9e243"><div class="ttname"><a href="#ae7880ce913f3058a35ff106d5be9e243">test1</a></div><div class="ttdeci">static void test1()</div><div class="ttdoc">Self-implementations, 1st test.</div><div class="ttdef"><b>Definition</b> <a href="../../df/d28/dsu__union__rank_8cpp_source.html#l00134">dsu_union_rank.cpp:134</a></div></div>
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</div><!-- fragment -->
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</div>
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</div>
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<a id="ae7880ce913f3058a35ff106d5be9e243" name="ae7880ce913f3058a35ff106d5be9e243"></a>
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@@ -208,11 +226,13 @@ Here is the call graph for this function:</div>
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<p>< number of elements</p>
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<p>< object of class disjoint sets</p>
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<p>< performs union operation on 1 and 2</p>
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<p class="definition">Definition at line <a class="el" href="../../df/d28/dsu__union__rank_8cpp_source.html#l00134">134</a> of file <a class="el" href="../../df/d28/dsu__union__rank_8cpp_source.html">dsu_union_rank.cpp</a>.</p>
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||||
<div class="fragment"><div class="line"><span class="lineno"> 134</span> {</div>
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<div class="line"><span class="lineno"> 135</span> <span class="comment">/* checks the parents in the resultant structures */</span></div>
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<div class="line"><span class="lineno"> 136</span> uint64_t n = 10; <span class="comment">///< number of elements</span></div>
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<div class="line"><span class="lineno"> 137</span> <a class="code hl_class" href="../../dd/d1f/classdsu.html">dsu</a> d(n + 1); <span class="comment">///< object of class disjoint sets</span></div>
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<div class="line"><span class="lineno"> 138</span> d.unionSet(2, 1); <span class="comment">///< performs union operation on 1 and 2</span></div>
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<div class="line"><span class="lineno"> 136</span> uint64_t n = 10; </div>
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<div class="line"><span class="lineno"> 137</span> <a class="code hl_class" href="../../dd/d1f/classdsu.html">dsu</a> d(n + 1); </div>
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<div class="line"><span class="lineno"> 138</span> d.unionSet(2, 1); </div>
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<div class="line"><span class="lineno"> 139</span> d.unionSet(1, 4);</div>
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<div class="line"><span class="lineno"> 140</span> d.unionSet(8, 1);</div>
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<div class="line"><span class="lineno"> 141</span> d.unionSet(3, 5);</div>
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@@ -221,23 +241,16 @@ Here is the call graph for this function:</div>
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<div class="line"><span class="lineno"> 144</span> d.unionSet(9, 10);</div>
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<div class="line"><span class="lineno"> 145</span> d.unionSet(2, 10);</div>
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<div class="line"><span class="lineno"> 146</span> <span class="comment">// keeping track of the changes using parent pointers</span></div>
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<div class="line"><span class="lineno"> 147</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">vector<uint64_t></a> ans = {7, 5};</div>
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<div class="line"><span class="lineno"> 147</span> vector<uint64_t> ans = {7, 5};</div>
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<div class="line"><span class="lineno"> 148</span> <span class="keywordflow">for</span> (uint64_t i = 0; i < ans.size(); i++) {</div>
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<div class="line"><span class="lineno"> 149</span> assert(d.getParents(7).at(i) ==</div>
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<div class="line"><span class="lineno"> 150</span> ans[i]); <span class="comment">// makes sure algorithm works fine</span></div>
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<div class="line"><span class="lineno"> 151</span> }</div>
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<div class="line"><span class="lineno"> 152</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> << <span class="stringliteral">"1st test passed!"</span> << <a class="code hl_define" href="../../d7/d35/matrix__exponentiation_8cpp.html#a600eaf353befc174637855795f12d258">endl</a>;</div>
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<div class="line"><span class="lineno"> 152</span> cout << <span class="stringliteral">"1st test passed!"</span> << <a class="code hl_define" href="../../d7/d35/matrix__exponentiation_8cpp.html#a600eaf353befc174637855795f12d258">endl</a>;</div>
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<div class="line"><span class="lineno"> 153</span>}</div>
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<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
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||||
<div class="ttc" id="aclassdsu_html"><div class="ttname"><a href="../../dd/d1f/classdsu.html">dsu</a></div><div class="ttdoc">Disjoint sets union data structure, class based representation.</div><div class="ttdef"><b>Definition</b> dsu_path_compression.cpp:34</div></div>
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||||
<div class="ttc" id="amatrix__exponentiation_8cpp_html_a600eaf353befc174637855795f12d258"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#a600eaf353befc174637855795f12d258">endl</a></div><div class="ttdeci">#define endl</div><div class="ttdef"><b>Definition</b> matrix_exponentiation.cpp:36</div></div>
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<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>
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</div><!-- fragment --><div class="dynheader">
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../df/d28/dsu__union__rank_8cpp_ae7880ce913f3058a35ff106d5be9e243_cgraph.svg" width="504" height="135"><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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||||
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||||
<div class="ttc" id="aclassdsu_html"><div class="ttname"><a href="../../dd/d1f/classdsu.html">dsu</a></div><div class="ttdoc">Disjoint sets union data structure, class based representation.</div><div class="ttdef"><b>Definition</b> <a href="../../d3/dae/dsu__path__compression_8cpp_source.html#l00034">dsu_path_compression.cpp:34</a></div></div>
|
||||
<div class="ttc" id="amatrix__exponentiation_8cpp_html_a600eaf353befc174637855795f12d258"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#a600eaf353befc174637855795f12d258">endl</a></div><div class="ttdeci">#define endl</div><div class="ttdef"><b>Definition</b> <a href="../../d7/d35/matrix__exponentiation_8cpp_source.html#l00036">matrix_exponentiation.cpp:36</a></div></div>
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</div><!-- fragment -->
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</div>
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</div>
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<a id="a45d94ead4cf4e1ff9f87c38bc99f59ae" name="a45d94ead4cf4e1ff9f87c38bc99f59ae"></a>
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@@ -270,11 +283,13 @@ Here is the call graph for this function:</div>
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<p>performs union operation on 1 and 2</p>
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<p>keeping track of the changes using parent pointers</p>
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<p>makes sure algorithm works fine</p>
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<p class="definition">Definition at line <a class="el" href="../../df/d28/dsu__union__rank_8cpp_source.html#l00158">158</a> of file <a class="el" href="../../df/d28/dsu__union__rank_8cpp_source.html">dsu_union_rank.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 158</span> {</div>
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<div class="line"><span class="lineno"> 159</span> <span class="comment">// checks the parents in the resultant structures</span></div>
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<div class="line"><span class="lineno"> 160</span> uint64_t n = 10; <span class="comment">///< number of elements</span></div>
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<div class="line"><span class="lineno"> 161</span> <a class="code hl_class" href="../../dd/d1f/classdsu.html">dsu</a> d(n + 1); <span class="comment">///< object of class disjoint sets</span></div>
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<div class="line"><span class="lineno"> 162</span> d.unionSet(2, 1); <span class="comment">/// performs union operation on 1 and 2</span></div>
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<div class="line"><span class="lineno"> 160</span> uint64_t n = 10; </div>
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<div class="line"><span class="lineno"> 161</span> <a class="code hl_class" href="../../dd/d1f/classdsu.html">dsu</a> d(n + 1); </div>
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<div class="line"><span class="lineno"> 162</span> d.unionSet(2, 1); </div>
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<div class="line"><span class="lineno"> 163</span> d.unionSet(1, 4);</div>
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<div class="line"><span class="lineno"> 164</span> d.unionSet(8, 1);</div>
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<div class="line"><span class="lineno"> 165</span> d.unionSet(3, 5);</div>
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@@ -282,21 +297,15 @@ Here is the call graph for this function:</div>
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<div class="line"><span class="lineno"> 167</span> d.unionSet(5, 7);</div>
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<div class="line"><span class="lineno"> 168</span> d.unionSet(9, 10);</div>
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<div class="line"><span class="lineno"> 169</span> d.unionSet(2, 10);</div>
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<div class="line"><span class="lineno"> 170</span><span class="comment"></span> </div>
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<div class="line"><span class="lineno"> 171</span><span class="comment"> /// keeping track of the changes using parent pointers</span></div>
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<div class="line"><span class="lineno"> 172</span><span class="comment"></span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">vector<uint64_t></a> ans = {2, 1, 10};</div>
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<div class="line"><span class="lineno"> 170</span> </div>
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<div class="line"><span class="lineno"> 172</span> vector<uint64_t> ans = {2, 1, 10};</div>
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<div class="line"><span class="lineno"> 173</span> <span class="keywordflow">for</span> (uint64_t i = 0; i < ans.size(); i++) {</div>
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<div class="line"><span class="lineno"> 174</span> assert(d.getParents(2).at(i) ==</div>
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<div class="line"><span class="lineno"> 175</span> ans[i]); <span class="comment">/// makes sure algorithm works fine</span></div>
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<div class="line"><span class="lineno"> 175</span> ans[i]); </div>
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<div class="line"><span class="lineno"> 176</span> }</div>
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<div class="line"><span class="lineno"> 177</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> << <span class="stringliteral">"2nd test passed!"</span> << <a class="code hl_define" href="../../d7/d35/matrix__exponentiation_8cpp.html#a600eaf353befc174637855795f12d258">endl</a>;</div>
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<div class="line"><span class="lineno"> 177</span> cout << <span class="stringliteral">"2nd test passed!"</span> << <a class="code hl_define" href="../../d7/d35/matrix__exponentiation_8cpp.html#a600eaf353befc174637855795f12d258">endl</a>;</div>
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<div class="line"><span class="lineno"> 178</span>}</div>
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||||
</div><!-- fragment -->
|
||||
</div>
|
||||
</div>
|
||||
</div><!-- contents -->
|
||||
|
||||
Reference in New Issue
Block a user