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<div class="headertitle"><div class="title">disjoint_set.cpp</div></div>
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<div class="contents">
<a href="../../de/d23/disjoint__set_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span> </div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include &lt;iostream&gt;</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include &lt;vector&gt;</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> </div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="keyword">using </span>std::cout;</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="keyword">using </span>std::endl;</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="keyword">using </span>std::vector;</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> </div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span>vector&lt;int&gt; root, rank;</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> </div>
<div class="foldopen" id="foldopen00037" data-start="{" data-end="}">
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"><a class="line" href="../../de/d23/disjoint__set_8cpp.html#a010965fc5f16cca5a62506afab24e4ec"> 37</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../de/d23/disjoint__set_8cpp.html#a010965fc5f16cca5a62506afab24e4ec">CreateSet</a>(<span class="keywordtype">int</span> n) {</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> root = vector&lt;int&gt;(n + 1);</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> rank = vector&lt;int&gt;(n + 1, 1);</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i &lt;= n; ++i) {</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> root[i] = i;</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> }</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span>}</div>
</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> </div>
<div class="foldopen" id="foldopen00053" data-start="{" data-end="}">
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"><a class="line" href="../../de/d23/disjoint__set_8cpp.html#a34b9ead0608e676d9ae5188672427cc8"> 53</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../de/d23/disjoint__set_8cpp.html#a34b9ead0608e676d9ae5188672427cc8">Find</a>(<span class="keywordtype">int</span> x) {</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keywordflow">if</span> (root[x] == x) {</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keywordflow">return</span> x;</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> }</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keywordflow">return</span> root[x] = <a class="code hl_function" href="../../de/d23/disjoint__set_8cpp.html#a34b9ead0608e676d9ae5188672427cc8">Find</a>(root[x]);</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span>}</div>
</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> </div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"><a class="line" href="../../de/d23/disjoint__set_8cpp.html#a2fb0a7cd26a477e2d48ba7e0118bc985"> 67</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="../../de/d23/disjoint__set_8cpp.html#a2fb0a7cd26a477e2d48ba7e0118bc985">InSameUnion</a>(<span class="keywordtype">int</span> x, <span class="keywordtype">int</span> y) { <span class="keywordflow">return</span> <a class="code hl_function" href="../../de/d23/disjoint__set_8cpp.html#a34b9ead0608e676d9ae5188672427cc8">Find</a>(x) == <a class="code hl_function" href="../../de/d23/disjoint__set_8cpp.html#a34b9ead0608e676d9ae5188672427cc8">Find</a>(y); }</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> </div>
<div class="foldopen" id="foldopen00078" data-start="{" data-end="}">
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"><a class="line" href="../../de/d23/disjoint__set_8cpp.html#a44481bb75386fbb0f958a388d4b9f757"> 78</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../de/d23/disjoint__set_8cpp.html#a44481bb75386fbb0f958a388d4b9f757">Union</a>(<span class="keywordtype">int</span> x, <span class="keywordtype">int</span> y) {</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <span class="keywordtype">int</span> a = <a class="code hl_function" href="../../de/d23/disjoint__set_8cpp.html#a34b9ead0608e676d9ae5188672427cc8">Find</a>(x), b = <a class="code hl_function" href="../../de/d23/disjoint__set_8cpp.html#a34b9ead0608e676d9ae5188672427cc8">Find</a>(y);</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keywordflow">if</span> (a != b) {</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="keywordflow">if</span> (rank[a] &lt; rank[b]) {</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> root[a] = b;</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (rank[a] &gt; rank[b]) {</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> root[b] = a;</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> root[a] = b;</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> ++rank[b];</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> }</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> }</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span>}</div>
</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> </div>
<div class="foldopen" id="foldopen00093" data-start="{" data-end="}">
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"><a class="line" href="../../de/d23/disjoint__set_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 93</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../de/d23/disjoint__set_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="comment">// tests CreateSet &amp; Find</span></div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="keywordtype">int</span> n = 100;</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <a class="code hl_function" href="../../de/d23/disjoint__set_8cpp.html#a010965fc5f16cca5a62506afab24e4ec">CreateSet</a>(n);</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i &lt;= 100; ++i) {</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="keywordflow">if</span> (root[i] != i) {</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> cout &lt;&lt; <span class="stringliteral">&quot;Fail&quot;</span> &lt;&lt; <a class="code hl_define" href="../../d7/d35/matrix__exponentiation_8cpp.html#a600eaf353befc174637855795f12d258">endl</a>;</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> }</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> }</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="comment">// tests InSameUnion &amp; Union</span></div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> cout &lt;&lt; <span class="stringliteral">&quot;1 and 2 are initially not in the same subset&quot;</span> &lt;&lt; <a class="code hl_define" href="../../d7/d35/matrix__exponentiation_8cpp.html#a600eaf353befc174637855795f12d258">endl</a>;</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../de/d23/disjoint__set_8cpp.html#a2fb0a7cd26a477e2d48ba7e0118bc985">InSameUnion</a>(1, 2)) {</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> cout &lt;&lt; <span class="stringliteral">&quot;Fail&quot;</span> &lt;&lt; <a class="code hl_define" href="../../d7/d35/matrix__exponentiation_8cpp.html#a600eaf353befc174637855795f12d258">endl</a>;</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> }</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <a class="code hl_function" href="../../de/d23/disjoint__set_8cpp.html#a44481bb75386fbb0f958a388d4b9f757">Union</a>(1, 2);</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> cout &lt;&lt; <span class="stringliteral">&quot;1 and 2 are now in the same subset&quot;</span> &lt;&lt; <a class="code hl_define" href="../../d7/d35/matrix__exponentiation_8cpp.html#a600eaf353befc174637855795f12d258">endl</a>;</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="../../de/d23/disjoint__set_8cpp.html#a2fb0a7cd26a477e2d48ba7e0118bc985">InSameUnion</a>(1, 2)) {</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> cout &lt;&lt; <span class="stringliteral">&quot;Fail&quot;</span> &lt;&lt; <a class="code hl_define" href="../../d7/d35/matrix__exponentiation_8cpp.html#a600eaf353befc174637855795f12d258">endl</a>;</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> }</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span>}</div>
</div>
<div class="ttc" id="adisjoint__set_8cpp_html_a010965fc5f16cca5a62506afab24e4ec"><div class="ttname"><a href="../../de/d23/disjoint__set_8cpp.html#a010965fc5f16cca5a62506afab24e4ec">CreateSet</a></div><div class="ttdeci">void CreateSet(int n)</div><div class="ttdef"><b>Definition</b> <a href="#l00037">disjoint_set.cpp:37</a></div></div>
<div class="ttc" id="adisjoint__set_8cpp_html_a2fb0a7cd26a477e2d48ba7e0118bc985"><div class="ttname"><a href="../../de/d23/disjoint__set_8cpp.html#a2fb0a7cd26a477e2d48ba7e0118bc985">InSameUnion</a></div><div class="ttdeci">bool InSameUnion(int x, int y)</div><div class="ttdef"><b>Definition</b> <a href="#l00067">disjoint_set.cpp:67</a></div></div>
<div class="ttc" id="adisjoint__set_8cpp_html_a34b9ead0608e676d9ae5188672427cc8"><div class="ttname"><a href="../../de/d23/disjoint__set_8cpp.html#a34b9ead0608e676d9ae5188672427cc8">Find</a></div><div class="ttdeci">int Find(int x)</div><div class="ttdef"><b>Definition</b> <a href="#l00053">disjoint_set.cpp:53</a></div></div>
<div class="ttc" id="adisjoint__set_8cpp_html_a44481bb75386fbb0f958a388d4b9f757"><div class="ttname"><a href="../../de/d23/disjoint__set_8cpp.html#a44481bb75386fbb0f958a388d4b9f757">Union</a></div><div class="ttdeci">void Union(int x, int y)</div><div class="ttdef"><b>Definition</b> <a href="#l00078">disjoint_set.cpp:78</a></div></div>
<div class="ttc" id="adisjoint__set_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../de/d23/disjoint__set_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition</b> <a href="#l00093">disjoint_set.cpp:93</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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