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@@ -121,7 +138,9 @@ Include dependency graph for binaryheap.cpp:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d0/dd1/binaryheap_8cpp__incl.svg" width="242" height="111"><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="../../de/dc3/binaryheap_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="../../d2/d05/class_min_heap.html">MinHeap</a></td></tr>
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@@ -134,6 +153,8 @@ Functions</h2></td></tr>
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</table>
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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 C++ program to demonstrate common Binary Heap Operations. </p>
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||||
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||||
<p class="definition">Definition in file <a class="el" href="../../de/dc3/binaryheap_8cpp_source.html">binaryheap.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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@@ -149,6 +170,8 @@ Functions</h2></td></tr>
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</tr>
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</table>
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</div><div class="memdoc">
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<p class="definition">Definition at line <a class="el" href="../../de/dc3/binaryheap_8cpp_source.html#l00128">128</a> of file <a class="el" href="../../de/dc3/binaryheap_8cpp_source.html">binaryheap.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 128</span> {</div>
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||||
<div class="line"><span class="lineno"> 129</span> <a class="code hl_class" href="../../d2/d05/class_min_heap.html">MinHeap</a> <a class="code hl_function" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>(11);</div>
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||||
<div class="line"><span class="lineno"> 130</span> <a class="code hl_function" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>.insertKey(3);</div>
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||||
@@ -158,15 +181,14 @@ Functions</h2></td></tr>
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<div class="line"><span class="lineno"> 134</span> <a class="code hl_function" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>.insertKey(5);</div>
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||||
<div class="line"><span class="lineno"> 135</span> <a class="code hl_function" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>.insertKey(4);</div>
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<div class="line"><span class="lineno"> 136</span> <a class="code hl_function" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>.insertKey(45);</div>
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||||
<div class="line"><span class="lineno"> 137</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="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>.extractMin() << <span class="stringliteral">" "</span>;</div>
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<div class="line"><span class="lineno"> 138</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="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>.getMin() << <span class="stringliteral">" "</span>;</div>
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<div class="line"><span class="lineno"> 137</span> std::cout << <a class="code hl_function" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>.extractMin() << <span class="stringliteral">" "</span>;</div>
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<div class="line"><span class="lineno"> 138</span> std::cout << <a class="code hl_function" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>.getMin() << <span class="stringliteral">" "</span>;</div>
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<div class="line"><span class="lineno"> 139</span> <a class="code hl_function" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>.decreaseKey(2, 1);</div>
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<div class="line"><span class="lineno"> 140</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="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>.getMin();</div>
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<div class="line"><span class="lineno"> 140</span> std::cout << <a class="code hl_function" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>.getMin();</div>
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<div class="line"><span class="lineno"> 141</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 142</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="aclass_min_heap_html"><div class="ttname"><a href="../../d2/d05/class_min_heap.html">MinHeap</a></div><div class="ttdef"><b>Definition</b> binaryheap.cpp:10</div></div>
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<div class="ttc" id="ahash__search_8cpp_html_a566eaf0ffafd50bc61e644561fd27001"><div class="ttname"><a href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a></div><div class="ttdeci">int h(int key)</div><div class="ttdef"><b>Definition</b> hash_search.cpp:45</div></div>
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<div class="ttc" id="aclass_min_heap_html"><div class="ttname"><a href="../../d2/d05/class_min_heap.html">MinHeap</a></div><div class="ttdef"><b>Definition</b> <a href="../../de/dc3/binaryheap_8cpp_source.html#l00010">binaryheap.cpp:10</a></div></div>
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284
de/dc3/binaryheap_8cpp_source.html
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<div class="headertitle"><div class="title">binaryheap.cpp</div></div>
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<a href="../../de/dc3/binaryheap_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>
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<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="preprocessor">#include <climits></span></div>
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<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="preprocessor">#include <iostream></span></div>
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<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="preprocessor">#include <utility></span></div>
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<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span> </div>
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<div class="foldopen" id="foldopen00010" data-start="{" data-end="};">
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<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"><a class="line" href="../../d2/d05/class_min_heap.html"> 10</a></span><span class="keyword">class </span><a class="code hl_class" href="../../d2/d05/class_min_heap.html">MinHeap</a> {</div>
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<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"><a class="line" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e"> 11</a></span> <span class="keywordtype">int</span> *<a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>; </div>
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<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"><a class="line" href="../../d2/d05/class_min_heap.html#a88b4aa3e66392a3eabbf2517a9a79a02"> 12</a></span> <span class="keywordtype">int</span> <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a88b4aa3e66392a3eabbf2517a9a79a02">capacity</a>; </div>
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<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"><a class="line" href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913"> 13</a></span> <span class="keywordtype">int</span> <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a>; </div>
|
||||
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span> </div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> <span class="keyword">public</span>:</div>
|
||||
<div class="foldopen" id="foldopen00019" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"><a class="line" href="../../d2/d05/class_min_heap.html#a078cb888e642bb1f95dd0e03f0a35820"> 19</a></span> <span class="keyword">explicit</span> <a class="code hl_function" href="../../d2/d05/class_min_heap.html#a078cb888e642bb1f95dd0e03f0a35820">MinHeap</a>(<span class="keywordtype">int</span> cap) {</div>
|
||||
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a> = 0;</div>
|
||||
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a88b4aa3e66392a3eabbf2517a9a79a02">capacity</a> = cap;</div>
|
||||
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a> = <span class="keyword">new</span> <span class="keywordtype">int</span>[cap];</div>
|
||||
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> }</div>
|
||||
</div>
|
||||
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> </div>
|
||||
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d2/d05/class_min_heap.html#aaef438c1056492cb62c4a4d9035b5cad">MinHeapify</a>(<span class="keywordtype">int</span>);</div>
|
||||
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> </div>
|
||||
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <span class="keywordtype">int</span> parent(<span class="keywordtype">int</span> i) { <span class="keywordflow">return</span> (i - 1) / 2; }</div>
|
||||
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> </div>
|
||||
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"><a class="line" href="../../d2/d05/class_min_heap.html#aa8c6c141e3de664819686aa637e1afca"> 31</a></span> <span class="keywordtype">int</span> <a class="code hl_function" href="../../d2/d05/class_min_heap.html#aa8c6c141e3de664819686aa637e1afca">left</a>(<span class="keywordtype">int</span> i) { <span class="keywordflow">return</span> (2 * i + 1); }</div>
|
||||
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> </div>
|
||||
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"><a class="line" href="../../d2/d05/class_min_heap.html#ac760b85cf90265b8d674b942a43fb70e"> 34</a></span> <span class="keywordtype">int</span> <a class="code hl_function" href="../../d2/d05/class_min_heap.html#ac760b85cf90265b8d674b942a43fb70e">right</a>(<span class="keywordtype">int</span> i) { <span class="keywordflow">return</span> (2 * i + 2); }</div>
|
||||
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> </div>
|
||||
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keywordtype">int</span> <a class="code hl_function" href="../../d2/d05/class_min_heap.html#a4014f1edaed0bd7db0c0d2ca53228980">extractMin</a>();</div>
|
||||
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> </div>
|
||||
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d2/d05/class_min_heap.html#aa7f726cc6327955d22871592227432f5">decreaseKey</a>(<span class="keywordtype">int</span> i, <span class="keywordtype">int</span> new_val);</div>
|
||||
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> </div>
|
||||
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"><a class="line" href="../../d2/d05/class_min_heap.html#a336ac71f0d857269fe9a98058a3cd130"> 43</a></span> <span class="keywordtype">int</span> <a class="code hl_function" href="../../d2/d05/class_min_heap.html#a336ac71f0d857269fe9a98058a3cd130">getMin</a>() { <span class="keywordflow">return</span> <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[0]; }</div>
|
||||
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> </div>
|
||||
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d2/d05/class_min_heap.html#a37ac126eabb0c3ce04047172abccca29">deleteKey</a>(<span class="keywordtype">int</span> i);</div>
|
||||
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> </div>
|
||||
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d2/d05/class_min_heap.html#aef78f3384f5a0ae880ad0883d2d44b82">insertKey</a>(<span class="keywordtype">int</span> k);</div>
|
||||
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> </div>
|
||||
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <a class="code hl_class" href="../../d2/d05/class_min_heap.html">~MinHeap</a>() { <span class="keyword">delete</span>[] <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>; }</div>
|
||||
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span>};</div>
|
||||
</div>
|
||||
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> </div>
|
||||
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span><span class="comment">// Inserts a new key 'k'</span></div>
|
||||
<div class="foldopen" id="foldopen00055" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"><a class="line" href="../../d2/d05/class_min_heap.html#aef78f3384f5a0ae880ad0883d2d44b82"> 55</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d2/d05/class_min_heap.html#aef78f3384f5a0ae880ad0883d2d44b82">MinHeap::insertKey</a>(<span class="keywordtype">int</span> k) {</div>
|
||||
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a> == <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a88b4aa3e66392a3eabbf2517a9a79a02">capacity</a>) {</div>
|
||||
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> std::cout << <span class="stringliteral">"\nOverflow: Could not insertKey\n"</span>;</div>
|
||||
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keywordflow">return</span>;</div>
|
||||
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> }</div>
|
||||
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> </div>
|
||||
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="comment">// First insert the new key at the end</span></div>
|
||||
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a>++;</div>
|
||||
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="keywordtype">int</span> i = <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a> - 1;</div>
|
||||
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[i] = k;</div>
|
||||
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> </div>
|
||||
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="comment">// Fix the min heap property if it is violated</span></div>
|
||||
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="keywordflow">while</span> (i != 0 && <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[parent(i)] > <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[i]) {</div>
|
||||
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> std::swap(<a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[i], <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[parent(i)]);</div>
|
||||
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> i = parent(i);</div>
|
||||
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> }</div>
|
||||
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span>}</div>
|
||||
</div>
|
||||
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> </div>
|
||||
<div class="foldopen" id="foldopen00076" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"><a class="line" href="../../d2/d05/class_min_heap.html#aa7f726cc6327955d22871592227432f5"> 76</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d2/d05/class_min_heap.html#aa7f726cc6327955d22871592227432f5">MinHeap::decreaseKey</a>(<span class="keywordtype">int</span> i, <span class="keywordtype">int</span> new_val) {</div>
|
||||
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[i] = new_val;</div>
|
||||
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keywordflow">while</span> (i != 0 && <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[parent(i)] > <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[i]) {</div>
|
||||
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> std::swap(<a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[i], <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[parent(i)]);</div>
|
||||
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> i = parent(i);</div>
|
||||
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> }</div>
|
||||
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span>}</div>
|
||||
</div>
|
||||
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> </div>
|
||||
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span><span class="comment">// Method to remove minimum element (or root) from min heap</span></div>
|
||||
<div class="foldopen" id="foldopen00085" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"><a class="line" href="../../d2/d05/class_min_heap.html#a4014f1edaed0bd7db0c0d2ca53228980"> 85</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d2/d05/class_min_heap.html#a4014f1edaed0bd7db0c0d2ca53228980">MinHeap::extractMin</a>() {</div>
|
||||
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a> <= 0)</div>
|
||||
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="keywordflow">return</span> INT_MAX;</div>
|
||||
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a> == 1) {</div>
|
||||
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a>--;</div>
|
||||
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[0];</div>
|
||||
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> }</div>
|
||||
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> </div>
|
||||
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="comment">// Store the minimum value, and remove it from heap</span></div>
|
||||
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="keywordtype">int</span> root = <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[0];</div>
|
||||
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[0] = <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[<a class="code hl_variable" href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a> - 1];</div>
|
||||
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a>--;</div>
|
||||
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <a class="code hl_function" href="../../d2/d05/class_min_heap.html#aaef438c1056492cb62c4a4d9035b5cad">MinHeapify</a>(0);</div>
|
||||
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> </div>
|
||||
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="keywordflow">return</span> root;</div>
|
||||
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span>}</div>
|
||||
</div>
|
||||
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> </div>
|
||||
<div class="foldopen" id="foldopen00105" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"><a class="line" href="../../d2/d05/class_min_heap.html#a37ac126eabb0c3ce04047172abccca29"> 105</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d2/d05/class_min_heap.html#a37ac126eabb0c3ce04047172abccca29">MinHeap::deleteKey</a>(<span class="keywordtype">int</span> i) {</div>
|
||||
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <a class="code hl_function" href="../../d2/d05/class_min_heap.html#aa7f726cc6327955d22871592227432f5">decreaseKey</a>(i, INT_MIN);</div>
|
||||
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <a class="code hl_function" href="../../d2/d05/class_min_heap.html#a4014f1edaed0bd7db0c0d2ca53228980">extractMin</a>();</div>
|
||||
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span>}</div>
|
||||
</div>
|
||||
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> </div>
|
||||
<div class="foldopen" id="foldopen00113" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"><a class="line" href="../../d2/d05/class_min_heap.html#aaef438c1056492cb62c4a4d9035b5cad"> 113</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d2/d05/class_min_heap.html#aaef438c1056492cb62c4a4d9035b5cad">MinHeap::MinHeapify</a>(<span class="keywordtype">int</span> i) {</div>
|
||||
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="keywordtype">int</span> l = <a class="code hl_function" href="../../d2/d05/class_min_heap.html#aa8c6c141e3de664819686aa637e1afca">left</a>(i);</div>
|
||||
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <span class="keywordtype">int</span> r = <a class="code hl_function" href="../../d2/d05/class_min_heap.html#ac760b85cf90265b8d674b942a43fb70e">right</a>(i);</div>
|
||||
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <span class="keywordtype">int</span> smallest = i;</div>
|
||||
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="keywordflow">if</span> (l < <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a> && <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[l] < <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[i])</div>
|
||||
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> smallest = l;</div>
|
||||
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <span class="keywordflow">if</span> (r < <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a> && <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[r] < <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[smallest])</div>
|
||||
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> smallest = r;</div>
|
||||
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keywordflow">if</span> (smallest != i) {</div>
|
||||
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> std::swap(<a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[i], <a class="code hl_variable" href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">harr</a>[smallest]);</div>
|
||||
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <a class="code hl_function" href="../../d2/d05/class_min_heap.html#aaef438c1056492cb62c4a4d9035b5cad">MinHeapify</a>(smallest);</div>
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||||
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> }</div>
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||||
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span>}</div>
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</div>
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||||
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> </div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span><span class="comment">// Driver program to test above functions</span></div>
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||||
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</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="l00129" name="l00129"></a><span class="lineno"> 129</span> <a class="code hl_class" href="../../d2/d05/class_min_heap.html">MinHeap</a> <a class="code hl_function" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>(11);</div>
|
||||
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> <a class="code hl_function" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>.insertKey(3);</div>
|
||||
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> <a class="code hl_function" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>.insertKey(2);</div>
|
||||
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <a class="code hl_function" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>.deleteKey(1);</div>
|
||||
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <a class="code hl_function" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>.insertKey(15);</div>
|
||||
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <a class="code hl_function" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>.insertKey(5);</div>
|
||||
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <a class="code hl_function" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>.insertKey(4);</div>
|
||||
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <a class="code hl_function" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>.insertKey(45);</div>
|
||||
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> std::cout << <a class="code hl_function" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>.extractMin() << <span class="stringliteral">" "</span>;</div>
|
||||
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> std::cout << <a class="code hl_function" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>.getMin() << <span class="stringliteral">" "</span>;</div>
|
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<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> <a class="code hl_function" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>.decreaseKey(2, 1);</div>
|
||||
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> std::cout << <a class="code hl_function" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>.getMin();</div>
|
||||
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="keywordflow">return</span> 0;</div>
|
||||
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span>}</div>
|
||||
<div class="ttc" id="aclass_min_heap_html"><div class="ttname"><a href="../../d2/d05/class_min_heap.html">MinHeap</a></div><div class="ttdef"><b>Definition</b> <a href="#l00010">binaryheap.cpp:10</a></div></div>
|
||||
<div class="ttc" id="aclass_min_heap_html_a078cb888e642bb1f95dd0e03f0a35820"><div class="ttname"><a href="../../d2/d05/class_min_heap.html#a078cb888e642bb1f95dd0e03f0a35820">MinHeap::MinHeap</a></div><div class="ttdeci">MinHeap(int cap)</div><div class="ttdef"><b>Definition</b> <a href="#l00019">binaryheap.cpp:19</a></div></div>
|
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<div class="ttc" id="aclass_min_heap_html_a336ac71f0d857269fe9a98058a3cd130"><div class="ttname"><a href="../../d2/d05/class_min_heap.html#a336ac71f0d857269fe9a98058a3cd130">MinHeap::getMin</a></div><div class="ttdeci">int getMin()</div><div class="ttdef"><b>Definition</b> <a href="#l00043">binaryheap.cpp:43</a></div></div>
|
||||
<div class="ttc" id="aclass_min_heap_html_a34a93a87967308eb516328c0aca3c48e"><div class="ttname"><a href="../../d2/d05/class_min_heap.html#a34a93a87967308eb516328c0aca3c48e">MinHeap::harr</a></div><div class="ttdeci">int * harr</div><div class="ttdoc">pointer to array of elements in heap</div><div class="ttdef"><b>Definition</b> <a href="#l00011">binaryheap.cpp:11</a></div></div>
|
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<div class="ttc" id="aclass_min_heap_html_a37ac126eabb0c3ce04047172abccca29"><div class="ttname"><a href="../../d2/d05/class_min_heap.html#a37ac126eabb0c3ce04047172abccca29">MinHeap::deleteKey</a></div><div class="ttdeci">void deleteKey(int i)</div><div class="ttdef"><b>Definition</b> <a href="#l00105">binaryheap.cpp:105</a></div></div>
|
||||
<div class="ttc" id="aclass_min_heap_html_a4014f1edaed0bd7db0c0d2ca53228980"><div class="ttname"><a href="../../d2/d05/class_min_heap.html#a4014f1edaed0bd7db0c0d2ca53228980">MinHeap::extractMin</a></div><div class="ttdeci">int extractMin()</div><div class="ttdef"><b>Definition</b> <a href="#l00085">binaryheap.cpp:85</a></div></div>
|
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<div class="ttc" id="aclass_min_heap_html_a88b4aa3e66392a3eabbf2517a9a79a02"><div class="ttname"><a href="../../d2/d05/class_min_heap.html#a88b4aa3e66392a3eabbf2517a9a79a02">MinHeap::capacity</a></div><div class="ttdeci">int capacity</div><div class="ttdoc">maximum possible size of min heap</div><div class="ttdef"><b>Definition</b> <a href="#l00012">binaryheap.cpp:12</a></div></div>
|
||||
<div class="ttc" id="aclass_min_heap_html_aa7f726cc6327955d22871592227432f5"><div class="ttname"><a href="../../d2/d05/class_min_heap.html#aa7f726cc6327955d22871592227432f5">MinHeap::decreaseKey</a></div><div class="ttdeci">void decreaseKey(int i, int new_val)</div><div class="ttdef"><b>Definition</b> <a href="#l00076">binaryheap.cpp:76</a></div></div>
|
||||
<div class="ttc" id="aclass_min_heap_html_aa8c6c141e3de664819686aa637e1afca"><div class="ttname"><a href="../../d2/d05/class_min_heap.html#aa8c6c141e3de664819686aa637e1afca">MinHeap::left</a></div><div class="ttdeci">int left(int i)</div><div class="ttdef"><b>Definition</b> <a href="#l00031">binaryheap.cpp:31</a></div></div>
|
||||
<div class="ttc" id="aclass_min_heap_html_aaef438c1056492cb62c4a4d9035b5cad"><div class="ttname"><a href="../../d2/d05/class_min_heap.html#aaef438c1056492cb62c4a4d9035b5cad">MinHeap::MinHeapify</a></div><div class="ttdeci">void MinHeapify(int)</div><div class="ttdef"><b>Definition</b> <a href="#l00113">binaryheap.cpp:113</a></div></div>
|
||||
<div class="ttc" id="aclass_min_heap_html_ac760b85cf90265b8d674b942a43fb70e"><div class="ttname"><a href="../../d2/d05/class_min_heap.html#ac760b85cf90265b8d674b942a43fb70e">MinHeap::right</a></div><div class="ttdeci">int right(int i)</div><div class="ttdef"><b>Definition</b> <a href="#l00034">binaryheap.cpp:34</a></div></div>
|
||||
<div class="ttc" id="aclass_min_heap_html_ae4d358bf063bb196a1945b3fb99b4913"><div class="ttname"><a href="../../d2/d05/class_min_heap.html#ae4d358bf063bb196a1945b3fb99b4913">MinHeap::heap_size</a></div><div class="ttdeci">int heap_size</div><div class="ttdoc">Current number of elements in min heap.</div><div class="ttdef"><b>Definition</b> <a href="#l00013">binaryheap.cpp:13</a></div></div>
|
||||
<div class="ttc" id="aclass_min_heap_html_aef78f3384f5a0ae880ad0883d2d44b82"><div class="ttname"><a href="../../d2/d05/class_min_heap.html#aef78f3384f5a0ae880ad0883d2d44b82">MinHeap::insertKey</a></div><div class="ttdeci">void insertKey(int k)</div><div class="ttdef"><b>Definition</b> <a href="#l00055">binaryheap.cpp:55</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="ahash__search_8cpp_html_a566eaf0ffafd50bc61e644561fd27001"><div class="ttname"><a href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a></div><div class="ttdeci">int h(int key)</div><div class="ttdef"><b>Definition</b> <a href="../../d1/df3/hash__search_8cpp_source.html#l00045">hash_search.cpp:45</a></div></div>
|
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</div><!-- fragment --></div><!-- contents -->
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<!-- start footer part -->
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<li class="navelem"><a class="el" href="../../dir_2e746e9d06bf2d8ff842208bcc6ebcfc.html">data_structures</a></li><li class="navelem"><a class="el" href="../../de/dc3/binaryheap_8cpp.html">binaryheap.cpp</a></li>
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<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.12.0 </li>
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<title>Algorithms_in_C++: math/fibonacci_sum.cpp File Reference</title>
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<title>TheAlgorithms/C++: math/fibonacci_sum.cpp File Reference</title>
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<link href="../../search/search.css" rel="stylesheet" type="text/css"/>
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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>
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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>
|
||||
</td>
|
||||
</tr>
|
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</tbody>
|
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@@ -124,7 +141,9 @@ Include dependency graph for fibonacci_sum.cpp:</div>
|
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d7/d4a/fibonacci__sum_8cpp__incl.svg" width="336" height="111"><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="../../de/dc3/fibonacci__sum_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="namespaces" name="namespaces"></a>
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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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Typedefs</h2></td></tr>
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|
||||
using </td><td class="memItemRight" valign="bottom"><b>math::fibonacci_sum::matrix</b> = <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a><<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a><uint64_t> ></td></tr>
|
||||
<tr class="memitem:a658ced3b6267216e49bb1bd4f9a76a54" id="r_a658ced3b6267216e49bb1bd4f9a76a54"><td class="memItemLeft" align="right" valign="top">using </td><td class="memItemRight" valign="bottom"><a class="el" href="#a658ced3b6267216e49bb1bd4f9a76a54">math::fibonacci_sum::matrix</a> = std::vector<std::vector<uint64_t> ></td></tr>
|
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<tr class="separator:a658ced3b6267216e49bb1bd4f9a76a54"><td class="memSeparator" colspan="2"> </td></tr>
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</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>
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<tr class="memitem:a9c83cca09a3e4ff2a25c816a9303448e" id="r_a9c83cca09a3e4ff2a25c816a9303448e"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">math::fibonacci_sum::matrix</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="#a9c83cca09a3e4ff2a25c816a9303448e">math::fibonacci_sum::multiply</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">math::fibonacci_sum::matrix</a> &T, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">math::fibonacci_sum::matrix</a> &A)</td></tr>
|
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<tr class="memitem:a9c83cca09a3e4ff2a25c816a9303448e" id="r_a9c83cca09a3e4ff2a25c816a9303448e"><td class="memItemLeft" align="right" valign="top">math::fibonacci_sum::matrix </td><td class="memItemRight" valign="bottom"><a class="el" href="#a9c83cca09a3e4ff2a25c816a9303448e">math::fibonacci_sum::multiply</a> (const math::fibonacci_sum::matrix &T, const math::fibonacci_sum::matrix &A)</td></tr>
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<tr class="separator:a9c83cca09a3e4ff2a25c816a9303448e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a7cf5feaf168b88e74544da59ed830311" id="r_a7cf5feaf168b88e74544da59ed830311"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">math::fibonacci_sum::matrix</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="#a7cf5feaf168b88e74544da59ed830311">math::fibonacci_sum::power</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">math::fibonacci_sum::matrix</a> T, uint64_t ex)</td></tr>
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<tr class="memitem:a7cf5feaf168b88e74544da59ed830311" id="r_a7cf5feaf168b88e74544da59ed830311"><td class="memItemLeft" align="right" valign="top">math::fibonacci_sum::matrix </td><td class="memItemRight" valign="bottom"><a class="el" href="#a7cf5feaf168b88e74544da59ed830311">math::fibonacci_sum::power</a> (math::fibonacci_sum::matrix T, uint64_t ex)</td></tr>
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<tr class="separator:a7cf5feaf168b88e74544da59ed830311"><td class="memSeparator" colspan="2"> </td></tr>
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@@ -161,7 +179,26 @@ Functions</h2></td></tr>
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<div class="textblock"><p>An algorithm to calculate the sum of <a href="https://en.wikipedia.org/wiki/Fibonacci_number" target="_blank">Fibonacci Sequence</a>: \(\mathrm{F}(n) +
|
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\mathrm{F}(n+1) + .. + \mathrm{F}(m)\). </p>
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<p>An algorithm to calculate the sum of Fibonacci Sequence: \(\mathrm{F}(n) + \mathrm{F}(n+1) + .. + \mathrm{F}(m)\) where \(\mathrm{F}(i)\) denotes the i-th Fibonacci Number . Note that F(0) = 0 and F(1) = 1. The value of the sum is calculated using matrix exponentiation. Reference source: <a href="https://stackoverflow.com/questions/4357223/finding-the-sum-of-fibonacci-numbers">https://stackoverflow.com/questions/4357223/finding-the-sum-of-fibonacci-numbers</a> </p><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/SarthakSahu1009" target="_blank">Sarthak Sahu</a> </dd></dl>
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</div><h2 class="groupheader">Function Documentation</h2>
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||||
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||||
<p class="definition">Definition in file <a class="el" href="../../de/dc3/fibonacci__sum_8cpp_source.html">fibonacci_sum.cpp</a>.</p>
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</div><h2 class="groupheader">Typedef Documentation</h2>
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<a id="a658ced3b6267216e49bb1bd4f9a76a54" name="a658ced3b6267216e49bb1bd4f9a76a54"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a658ced3b6267216e49bb1bd4f9a76a54">◆ </a></span>matrix</h2>
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<td class="memname">using math::fibonacci_sum::matrix = std::vector<std::vector<uint64_t> ></td>
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</tr>
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</table>
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</div><div class="memdoc">
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<p class="definition">Definition at line <a class="el" href="../../de/dc3/fibonacci__sum_8cpp_source.html#l00031">31</a> of file <a class="el" href="../../de/dc3/fibonacci__sum_8cpp_source.html">fibonacci_sum.cpp</a>.</p>
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</div>
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</div>
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<h2 class="groupheader">Function Documentation</h2>
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<a id="a493fbaa7a94e3b7ca573111237bb3742" name="a493fbaa7a94e3b7ca573111237bb3742"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a493fbaa7a94e3b7ca573111237bb3742">◆ </a></span>fiboSum()</h2>
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@@ -188,16 +225,13 @@ Functions</h2></td></tr>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>uint64_t the sum of sequence </dd></dl>
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<p class="definition">Definition at line <a class="el" href="../../de/dc3/fibonacci__sum_8cpp_source.html#l00091">91</a> of file <a class="el" href="../../de/dc3/fibonacci__sum_8cpp_source.html">fibonacci_sum.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 91</span> {</div>
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<div class="line"><span class="lineno"> 92</span> <span class="keywordflow">return</span> (<a class="code hl_function" href="#aadb40ac4c74a7efc0680b83eeee138aa">result</a>(m + 2) - <a class="code hl_function" href="#aadb40ac4c74a7efc0680b83eeee138aa">result</a>(n + 1));</div>
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<div class="line"><span class="lineno"> 93</span>}</div>
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<div class="ttc" id="afibonacci__sum_8cpp_html_aadb40ac4c74a7efc0680b83eeee138aa"><div class="ttname"><a href="#aadb40ac4c74a7efc0680b83eeee138aa">math::fibonacci_sum::result</a></div><div class="ttdeci">uint64_t result(uint64_t n)</div><div class="ttdef"><b>Definition</b> fibonacci_sum.cpp:77</div></div>
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<div class="ttc" id="afibonacci__sum_8cpp_html_aadb40ac4c74a7efc0680b83eeee138aa"><div class="ttname"><a href="#aadb40ac4c74a7efc0680b83eeee138aa">math::fibonacci_sum::result</a></div><div class="ttdeci">uint64_t result(uint64_t n)</div><div class="ttdef"><b>Definition</b> <a href="../../de/dc3/fibonacci__sum_8cpp_source.html#l00077">fibonacci_sum.cpp:77</a></div></div>
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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="../../de/dc3/fibonacci__sum_8cpp_source.html#l00137">137</a> of file <a class="el" href="../../de/dc3/fibonacci__sum_8cpp_source.html">fibonacci_sum.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 137</span> {</div>
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<div class="line"><span class="lineno"> 138</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// execute the tests</span></div>
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<div class="line"><span class="lineno"> 139</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 140</span>}</div>
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<div class="ttc" id="afibonacci__sum_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdef"><b>Definition</b> fibonacci_sum.cpp:102</div></div>
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<div class="center"><div class="zoom"><iframe scrolling="no" frameborder="0" src="../../de/dc3/fibonacci__sum_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width="100%" height="600"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div></div>
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<div class="ttc" id="afibonacci__sum_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdef"><b>Definition</b> <a href="../../de/dc3/fibonacci__sum_8cpp_source.html#l00102">fibonacci_sum.cpp:102</a></div></div>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">math::fibonacci_sum::matrix</a> math::fibonacci_sum::multiply </td>
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<td class="memname">math::fibonacci_sum::matrix math::fibonacci_sum::multiply </td>
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<td>(</td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">math::fibonacci_sum::matrix</a> &</td> <td class="paramname"><span class="paramname"><em>T</em></span>, </td>
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<td class="paramtype">const math::fibonacci_sum::matrix &</td> <td class="paramname"><span class="paramname"><em>T</em></span>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">math::fibonacci_sum::matrix</a> &</td> <td class="paramname"><span class="paramname"><em>A</em></span> )</td>
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<td class="paramtype">const math::fibonacci_sum::matrix &</td> <td class="paramname"><span class="paramname"><em>A</em></span> )</td>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>resultant matrix </dd></dl>
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<p class="definition">Definition at line <a class="el" href="../../de/dc3/fibonacci__sum_8cpp_source.html#l00039">39</a> of file <a class="el" href="../../de/dc3/fibonacci__sum_8cpp_source.html">fibonacci_sum.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 40</span> {</div>
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<div class="line"><span class="lineno"> 41</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">math::fibonacci_sum::matrix</a> <a class="code hl_function" href="#aadb40ac4c74a7efc0680b83eeee138aa">result</a>(2, <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<uint64_t></a>(2, 0));</div>
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<div class="line"><span class="lineno"> 41</span> math::fibonacci_sum::matrix <a class="code hl_function" href="#aadb40ac4c74a7efc0680b83eeee138aa">result</a>(2, std::vector<uint64_t>(2, 0));</div>
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<div class="line"><span class="lineno"> 42</span> </div>
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<div class="line"><span class="lineno"> 43</span> <span class="comment">// multiplying matrices</span></div>
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||||
<div class="line"><span class="lineno"> 44</span> <a class="code hl_function" href="#aadb40ac4c74a7efc0680b83eeee138aa">result</a>[0][0] = T[0][0] * A[0][0] + T[0][1] * A[1][0];</div>
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<div class="line"><span class="lineno"> 48</span> </div>
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<div class="line"><span class="lineno"> 49</span> <span class="keywordflow">return</span> <a class="code hl_function" href="#aadb40ac4c74a7efc0680b83eeee138aa">result</a>;</div>
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<div class="line"><span class="lineno"> 50</span>}</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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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">math::fibonacci_sum::matrix</a> math::fibonacci_sum::power </td>
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<td class="memname">math::fibonacci_sum::matrix math::fibonacci_sum::power </td>
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<td>(</td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">math::fibonacci_sum::matrix</a></td> <td class="paramname"><span class="paramname"><em>T</em></span>, </td>
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<dl class="section return"><dt>Returns</dt><dd>resultant matrix </dd></dl>
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<p class="definition">Definition at line <a class="el" href="../../de/dc3/fibonacci__sum_8cpp_source.html#l00058">58</a> of file <a class="el" href="../../de/dc3/fibonacci__sum_8cpp_source.html">fibonacci_sum.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 58</span> {</div>
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<div class="line"><span class="lineno"> 59</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">math::fibonacci_sum::matrix</a> A{{1, 1}, {1, 0}};</div>
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<div class="line"><span class="lineno"> 59</span> math::fibonacci_sum::matrix A{{1, 1}, {1, 0}};</div>
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<div class="line"><span class="lineno"> 60</span> <span class="keywordflow">if</span> (ex == 0 || ex == 1) {</div>
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<div class="line"><span class="lineno"> 61</span> <span class="keywordflow">return</span> T;</div>
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<div class="line"><span class="lineno"> 62</span> }</div>
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<div class="line"><span class="lineno"> 68</span> }</div>
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<div class="line"><span class="lineno"> 69</span> <span class="keywordflow">return</span> T;</div>
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<div class="line"><span class="lineno"> 70</span>}</div>
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<div class="ttc" id="apower__for__huge__numbers_8cpp_html_aa141a7904f0c4668bac112d652a3acf9"><div class="ttname"><a href="../../df/def/power__for__huge__numbers_8cpp.html#aa141a7904f0c4668bac112d652a3acf9">multiply</a></div><div class="ttdeci">int multiply(int x, int res[], int res_size)</div><div class="ttdef"><b>Definition</b> power_for_huge_numbers.cpp:25</div></div>
|
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<div class="ttc" id="apower__for__huge__numbers_8cpp_html_ae249a2af508aa94266023ce8aa81426f"><div class="ttname"><a href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power</a></div><div class="ttdeci">void power(int x, int n)</div><div class="ttdef"><b>Definition</b> power_for_huge_numbers.cpp:56</div></div>
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<div class="ttc" id="apower__for__huge__numbers_8cpp_html_aa141a7904f0c4668bac112d652a3acf9"><div class="ttname"><a href="../../df/def/power__for__huge__numbers_8cpp.html#aa141a7904f0c4668bac112d652a3acf9">multiply</a></div><div class="ttdeci">int multiply(int x, int res[], int res_size)</div><div class="ttdef"><b>Definition</b> <a href="../../df/def/power__for__huge__numbers_8cpp_source.html#l00025">power_for_huge_numbers.cpp:25</a></div></div>
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<div class="ttc" id="apower__for__huge__numbers_8cpp_html_ae249a2af508aa94266023ce8aa81426f"><div class="ttname"><a href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power</a></div><div class="ttdeci">void power(int x, int n)</div><div class="ttdef"><b>Definition</b> <a href="../../df/def/power__for__huge__numbers_8cpp_source.html#l00056">power_for_huge_numbers.cpp:56</a></div></div>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>uint64_t ans, the sum of sequence </dd></dl>
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<p class="definition">Definition at line <a class="el" href="../../de/dc3/fibonacci__sum_8cpp_source.html#l00077">77</a> of file <a class="el" href="../../de/dc3/fibonacci__sum_8cpp_source.html">fibonacci_sum.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 77</span> {</div>
|
||||
<div class="line"><span class="lineno"> 78</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">math::fibonacci_sum::matrix</a> T{{1, 1}, {1, 0}};</div>
|
||||
<div class="line"><span class="lineno"> 78</span> math::fibonacci_sum::matrix T{{1, 1}, {1, 0}};</div>
|
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<div class="line"><span class="lineno"> 79</span> T = <a class="code hl_function" href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power</a>(T, n);</div>
|
||||
<div class="line"><span class="lineno"> 80</span> uint64_t ans = T[0][1];</div>
|
||||
<div class="line"><span class="lineno"> 81</span> ans = (ans - 1);</div>
|
||||
<div class="line"><span class="lineno"> 82</span> <span class="keywordflow">return</span> ans;</div>
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<p>Function for testing fiboSum function. test cases and assert statement. </p><dl class="section return"><dt>Returns</dt><dd><code>void</code> </dd></dl>
|
||||
|
||||
<p class="definition">Definition at line <a class="el" href="../../de/dc3/fibonacci__sum_8cpp_source.html#l00102">102</a> of file <a class="el" href="../../de/dc3/fibonacci__sum_8cpp_source.html">fibonacci_sum.cpp</a>.</p>
|
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<div class="fragment"><div class="line"><span class="lineno"> 102</span> {</div>
|
||||
<div class="line"><span class="lineno"> 103</span> uint64_t n = 0, m = 3;</div>
|
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<div class="line"><span class="lineno"> 104</span> uint64_t <a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">test_1</a> = <a class="code hl_function" href="#a493fbaa7a94e3b7ca573111237bb3742">math::fibonacci_sum::fiboSum</a>(n, m);</div>
|
||||
<div class="line"><span class="lineno"> 105</span> assert(<a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">test_1</a> == 4);</div>
|
||||
<div class="line"><span class="lineno"> 106</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">"Passed Test 1!"</span> << <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"> 106</span> std::cout << <span class="stringliteral">"Passed Test 1!"</span> << std::endl;</div>
|
||||
<div class="line"><span class="lineno"> 107</span> </div>
|
||||
<div class="line"><span class="lineno"> 108</span> n = 3;</div>
|
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<div class="line"><span class="lineno"> 109</span> m = 5;</div>
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<div class="line"><span class="lineno"> 110</span> uint64_t <a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a458410412185a5f09199deaff7157a8d">test_2</a> = <a class="code hl_function" href="#a493fbaa7a94e3b7ca573111237bb3742">math::fibonacci_sum::fiboSum</a>(n, m);</div>
|
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<div class="line"><span class="lineno"> 111</span> assert(<a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a458410412185a5f09199deaff7157a8d">test_2</a> == 10);</div>
|
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<div class="line"><span class="lineno"> 112</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">"Passed Test 2!"</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 112</span> std::cout << <span class="stringliteral">"Passed Test 2!"</span> << std::endl;</div>
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<div class="line"><span class="lineno"> 113</span> </div>
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<div class="line"><span class="lineno"> 114</span> n = 5;</div>
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<div class="line"><span class="lineno"> 115</span> m = 7;</div>
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<div class="line"><span class="lineno"> 116</span> uint64_t <a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#af31ec5409537703d9c8a47350386b32a">test_3</a> = <a class="code hl_function" href="#a493fbaa7a94e3b7ca573111237bb3742">math::fibonacci_sum::fiboSum</a>(n, m);</div>
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<div class="line"><span class="lineno"> 117</span> assert(<a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#af31ec5409537703d9c8a47350386b32a">test_3</a> == 26);</div>
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<div class="line"><span class="lineno"> 118</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">"Passed Test 3!"</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 118</span> std::cout << <span class="stringliteral">"Passed Test 3!"</span> << std::endl;</div>
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<div class="line"><span class="lineno"> 119</span> </div>
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<div class="line"><span class="lineno"> 120</span> n = 7;</div>
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<div class="line"><span class="lineno"> 121</span> m = 10;</div>
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<div class="line"><span class="lineno"> 122</span> uint64_t test_4 = <a class="code hl_function" href="#a493fbaa7a94e3b7ca573111237bb3742">math::fibonacci_sum::fiboSum</a>(n, m);</div>
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<div class="line"><span class="lineno"> 124</span> std::cout << <span class="stringliteral">"Passed Test 4!"</span> << std::endl;</div>
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<div class="line"><span class="lineno"> 125</span> </div>
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<div class="line"><span class="lineno"> 126</span> n = 9;</div>
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<div class="line"><span class="lineno"> 128</span> uint64_t test_5 = <a class="code hl_function" href="#a493fbaa7a94e3b7ca573111237bb3742">math::fibonacci_sum::fiboSum</a>(n, m);</div>
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<div class="line"><span class="lineno"> 130</span> std::cout << <span class="stringliteral">"Passed Test 5!"</span> << std::endl;</div>
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<div class="ttc" id="aheavy__light__decomposition_8cpp_html_a34b8683a2b429de5cce57e6d733ec817"><div class="ttname"><a href="../../d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">test_1</a></div><div class="ttdeci">static void test_1()</div><div class="ttdef"><b>Definition</b> heavy_light_decomposition.cpp:505</div></div>
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<div class="ttc" id="aheavy__light__decomposition_8cpp_html_a458410412185a5f09199deaff7157a8d"><div class="ttname"><a href="../../d2/de9/heavy__light__decomposition_8cpp.html#a458410412185a5f09199deaff7157a8d">test_2</a></div><div class="ttdeci">static void test_2()</div><div class="ttdef"><b>Definition</b> heavy_light_decomposition.cpp:549</div></div>
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Here is the call graph for this function:</div>
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<g id="resetDef">
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<title>test</title>
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<g id="Node000002" class="node">
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<title>Node2</title>
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<g id="Node000003" class="node">
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<title>Node3</title>
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<g id="a_Node000003"><a xlink:href="../../d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817" target="_top" xlink:title=" ">
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</g>
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<g id="edge2_Node000001_Node000003" class="edge">
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<title>Node1->Node3</title>
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<g id="a_edge2_Node000001_Node000003"><a xlink:title=" ">
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</g>
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<g id="Node000023" class="node">
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<title>Node23</title>
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</g>
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</g>
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<!-- Node1->Node23 -->
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<g id="edge30_Node000001_Node000023" class="edge">
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<title>Node1->Node23</title>
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<g id="a_edge30_Node000001_Node000023"><a xlink:title=" ">
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</g>
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</g>
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<g id="Node000024" class="node">
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<title>Node24</title>
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<g id="a_Node000024"><a xlink:href="../../d2/de9/heavy__light__decomposition_8cpp.html#af31ec5409537703d9c8a47350386b32a" target="_top" xlink:title=" ">
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</a>
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</g>
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</g>
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<!-- Node1->Node24 -->
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<g id="edge38_Node000001_Node000024" class="edge">
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<title>Node1->Node24</title>
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<g id="a_edge38_Node000001_Node000024"><a xlink:title=" ">
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</g>
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</g>
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<!-- Node4 -->
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<g id="Node000004" class="node">
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<title>Node4</title>
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<g id="a_Node000004"><a xlink:href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a79ab4601c4a95c0902ac04e779e5f54d" target="_top" xlink:title="Adds an undirected edge from node u to node v in the tree.">
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<text text-anchor="start" x="166" y="-429.25" font-family="Helvetica,sans-Serif" font-size="10.00">range_queries::heavy</text>
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<text text-anchor="start" x="166" y="-418" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
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<text text-anchor="middle" x="212.5" y="-406.75" font-family="Helvetica,sans-Serif" font-size="10.00">::Tree::add_edge</text>
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</a>
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</g>
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</g>
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<g id="edge3_Node000003_Node000004" class="edge">
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<title>Node3->Node4</title>
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<g id="a_edge3_Node000003_Node000004"><a xlink:title=" ">
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</a>
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</g>
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</g>
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<!-- Node5 -->
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<g id="Node000005" class="node">
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<title>Node5</title>
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<g id="a_Node000005"><a target="_blank" xlink:href="http://en.cppreference.com/w/cpp/container/vector/push_back.html#" xlink:title=" ">
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<text text-anchor="middle" x="360.88" y="-463" font-family="Helvetica,sans-Serif" font-size="10.00">std::vector::push_back</text>
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</g>
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<g id="edge18_Node000003_Node000005" class="edge">
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<title>Node3->Node5</title>
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<g id="a_edge18_Node000003_Node000005"><a xlink:title=" ">
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</a>
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</g>
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<!-- Node6 -->
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<g id="Node000006" class="node">
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<title>Node6</title>
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<g id="a_Node000006"><a xlink:href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#ae9e979edd69678b85665c01e2ee97828" target="_top" xlink:title="This function must be called after the tree adjacency list and node values are populated The function...">
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<text text-anchor="middle" x="212.5" y="-210.75" font-family="Helvetica,sans-Serif" font-size="10.00">::HLD::init</text>
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</g>
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<g id="edge5_Node000003_Node000006" class="edge">
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<title>Node3->Node6</title>
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<g id="a_edge5_Node000003_Node000006"><a xlink:title=" ">
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</g>
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</g>
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<g id="Node000014" class="node">
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<title>Node14</title>
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<g id="a_Node000014"><a xlink:href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a4dfbf5d9df825eeb63b294c6849bdcab" target="_top" xlink:title="This function returns the sum of node values in the simple path from from node_1 to node_2.">
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<text text-anchor="start" x="166" y="-320" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
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</g>
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<g id="edge19_Node000003_Node000014" class="edge">
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<title>Node3->Node14</title>
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<g id="a_edge19_Node000003_Node000014"><a xlink:title=" ">
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</g>
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</g>
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<g id="Node000019" class="node">
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<title>Node19</title>
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<g id="edge25_Node000003_Node000019" class="edge">
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<title>Node3->Node19</title>
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<g id="a_edge25_Node000003_Node000019"><a xlink:title=" ">
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</g>
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</g>
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<g id="Node000020" class="node">
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<title>Node20</title>
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</g>
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<!-- Node3->Node20 -->
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<g id="edge27_Node000003_Node000020" class="edge">
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<title>Node3->Node20</title>
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<g id="a_edge27_Node000003_Node000020"><a xlink:title=" ">
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</a>
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</g>
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</g>
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<!-- Node21 -->
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<g id="Node000021" class="node">
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<title>Node21</title>
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<g id="a_Node000021"><a xlink:href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a9f1cb54ed09fde931bf3220d75ee4c57" target="_top" xlink:title="This function updates the value at node with val.">
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<text text-anchor="start" x="166" y="-625.25" font-family="Helvetica,sans-Serif" font-size="10.00">range_queries::heavy</text>
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<text text-anchor="start" x="166" y="-614" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
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<text text-anchor="middle" x="212.5" y="-602.75" font-family="Helvetica,sans-Serif" font-size="10.00">::HLD::update</text>
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</g>
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<!-- Node3->Node21 -->
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<g id="edge28_Node000003_Node000021" class="edge">
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<title>Node3->Node21</title>
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<g id="a_edge28_Node000003_Node000021"><a xlink:title=" ">
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</a>
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</g>
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</g>
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<!-- Node4->Node5 -->
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<g id="edge4_Node000004_Node000005" class="edge">
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<title>Node4->Node5</title>
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<g id="a_edge4_Node000004_Node000005"><a xlink:title=" ">
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<polygon fill="#63b8ff" stroke="#63b8ff" points="315.03,-456.75 325.62,-456.34 317.09,-450.06 315.03,-456.75"/>
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</a>
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</g>
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</g>
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<!-- Node7 -->
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<g id="Node000007" class="node">
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<title>Node7</title>
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<g id="a_Node000007"><a xlink:href="../../d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html#a41c733f5f5e262b308f7cb95c88c1e74" target="_top" xlink:title="Function that specifies the type of operation involved when segments are combined.">
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<text text-anchor="start" x="462.75" y="-272.25" font-family="Helvetica,sans-Serif" font-size="10.00">range_queries::heavy</text>
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<use id="zoomminus" xlink:href="#zoomMin" x="42" y="9" onmousedown="handleZoom(evt,'out')"/>
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<use id="reset" xlink:href="#resetDef" x="30" y="36" onmousedown="handleReset()"/>
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<g id="edge30_Node000001_Node000023" class="edge">
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<title>Node1->Node23</title>
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<g id="a_edge30_Node000001_Node000023"><a xlink:title=" ">
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<path fill="none" stroke="#63b8ff" d="M32.83,-492.72C41.33,-494.82 52.16,-497.49 62.35,-500"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="61.42,-503.38 71.97,-502.38 63.1,-496.58 61.42,-503.38"/>
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</a>
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</g>
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</g>
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<g id="Node000024" class="node">
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<title>Node24</title>
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<g id="a_Node000024"><a xlink:href="../../d2/de9/heavy__light__decomposition_8cpp.html#af31ec5409537703d9c8a47350386b32a" target="_top" xlink:title=" ">
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<text text-anchor="middle" x="95.25" y="-467" font-family="Helvetica,sans-Serif" font-size="10.00">test_3</text>
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</a>
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</g>
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</g>
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<!-- Node1->Node24 -->
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<g id="edge38_Node000001_Node000024" class="edge">
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<title>Node1->Node24</title>
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<g id="a_edge38_Node000001_Node000024"><a xlink:title=" ">
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<path fill="none" stroke="#63b8ff" d="M32.83,-485.23C41.33,-483.25 52.16,-480.71 62.35,-478.33"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="63.02,-481.77 71.96,-476.09 61.43,-474.95 63.02,-481.77"/>
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</a>
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</g>
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</g>
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<g id="Node000004" class="node">
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<title>Node4</title>
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<g id="a_Node000004"><a xlink:href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a79ab4601c4a95c0902ac04e779e5f54d" target="_top" xlink:title="Adds an undirected edge from node u to node v in the tree.">
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<text text-anchor="start" x="166" y="-429.25" font-family="Helvetica,sans-Serif" font-size="10.00">range_queries::heavy</text>
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<text text-anchor="start" x="166" y="-418" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
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<text text-anchor="middle" x="212.5" y="-406.75" font-family="Helvetica,sans-Serif" font-size="10.00">::Tree::add_edge</text>
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</a>
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</g>
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</g>
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<!-- Node3->Node4 -->
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<g id="edge3_Node000003_Node000004" class="edge">
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<title>Node3->Node4</title>
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<g id="a_edge3_Node000003_Node000004"><a xlink:title=" ">
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<path fill="none" stroke="#63b8ff" d="M117.12,-402.22C125.59,-403.99 135.89,-406.13 146.52,-408.34"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="145.68,-411.74 156.18,-410.35 147.1,-404.89 145.68,-411.74"/>
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</a>
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</g>
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</g>
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<!-- Node5 -->
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<g id="Node000005" class="node">
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<title>Node5</title>
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<g id="a_Node000005"><a target="_blank" xlink:href="http://en.cppreference.com/w/cpp/container/vector/push_back.html#" xlink:title=" ">
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<text text-anchor="middle" x="360.88" y="-463" font-family="Helvetica,sans-Serif" font-size="10.00">std::vector::push_back</text>
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</a>
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</g>
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</g>
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<!-- Node3->Node5 -->
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<g id="edge18_Node000003_Node000005" class="edge">
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<title>Node3->Node5</title>
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<g id="a_edge18_Node000003_Node000005"><a xlink:title=" ">
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<path fill="none" stroke="#63b8ff" d="M98.67,-387.78C104.52,-365.92 121.68,-314.55 158,-293.88 200.1,-269.91 228.93,-263.91 267,-293.88 320.53,-336.01 258.89,-390.96 303,-442.88 305.69,-446.04 308.87,-448.8 312.33,-451.2"/>
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</a>
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</g>
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<g id="Node000006" class="node">
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<title>Node6</title>
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<g id="a_Node000006"><a xlink:href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#ae9e979edd69678b85665c01e2ee97828" target="_top" xlink:title="This function must be called after the tree adjacency list and node values are populated The function...">
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<text text-anchor="start" x="166" y="-233.25" font-family="Helvetica,sans-Serif" font-size="10.00">range_queries::heavy</text>
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<text text-anchor="start" x="166" y="-222" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
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<text text-anchor="middle" x="212.5" y="-210.75" font-family="Helvetica,sans-Serif" font-size="10.00">::HLD::init</text>
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</a>
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</g>
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</g>
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<!-- Node3->Node6 -->
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<g id="edge5_Node000003_Node000006" class="edge">
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<title>Node3->Node6</title>
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<g id="a_edge5_Node000003_Node000006"><a xlink:title=" ">
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<path fill="none" stroke="#63b8ff" d="M98.67,-387.87C104.92,-363.69 123.58,-301.13 158,-260.88 160.03,-258.5 162.26,-256.23 164.62,-254.06"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="166.39,-257.13 171.88,-248.07 161.94,-251.73 166.39,-257.13"/>
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</a>
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</g>
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</g>
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<!-- Node14 -->
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<g id="Node000014" class="node">
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<title>Node14</title>
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<g id="a_Node000014"><a xlink:href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a4dfbf5d9df825eeb63b294c6849bdcab" target="_top" xlink:title="This function returns the sum of node values in the simple path from from node_1 to node_2.">
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<text text-anchor="start" x="166" y="-331.25" font-family="Helvetica,sans-Serif" font-size="10.00">range_queries::heavy</text>
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<text text-anchor="start" x="166" y="-320" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
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<text text-anchor="middle" x="212.5" y="-308.75" font-family="Helvetica,sans-Serif" font-size="10.00">::HLD::query</text>
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</a>
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</g>
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</g>
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<!-- Node3->Node14 -->
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<g id="edge19_Node000003_Node000014" class="edge">
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<title>Node3->Node14</title>
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<g id="a_edge19_Node000003_Node000014"><a xlink:title=" ">
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<path fill="none" stroke="#63b8ff" d="M111.79,-387.9C126.37,-378.54 148.84,-364.11 168.76,-351.32"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="170.49,-354.37 177.01,-346.02 166.71,-348.48 170.49,-354.37"/>
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</a>
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</g>
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</g>
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<!-- Node19 -->
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<g id="Node000019" class="node">
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<title>Node19</title>
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<g id="a_Node000019"><a xlink:href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a04cd96efaba147b19d3afc769b90ff70" target="_top" xlink:title="Set the values for all the nodes.">
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<text text-anchor="start" x="166" y="-527.25" font-family="Helvetica,sans-Serif" font-size="10.00">range_queries::heavy</text>
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<text text-anchor="start" x="166" y="-516" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
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<text text-anchor="middle" x="212.5" y="-504.75" font-family="Helvetica,sans-Serif" font-size="10.00">::Tree::set_node_val</text>
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</a>
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</g>
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</g>
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<!-- Node3->Node19 -->
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<g id="edge25_Node000003_Node000019" class="edge">
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<title>Node3->Node19</title>
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<g id="a_edge25_Node000003_Node000019"><a xlink:title=" ">
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<path fill="none" stroke="#63b8ff" d="M105.68,-407.86C122.56,-425.73 158.54,-463.81 183.84,-490.6"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="181.19,-492.89 190.6,-497.75 186.28,-488.08 181.19,-492.89"/>
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</a>
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</g>
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</g>
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<!-- Node20 -->
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<g id="Node000020" class="node">
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<title>Node20</title>
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<g id="a_Node000020"><a target="_blank" xlink:href="http://en.cppreference.com/w/cpp/container/vector/size.html#" xlink:title=" ">
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<polygon fill="white" stroke="#666666" points="404.12,-554.5 317.62,-554.5 317.62,-535.25 404.12,-535.25 404.12,-554.5"/>
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<text text-anchor="middle" x="360.88" y="-541" font-family="Helvetica,sans-Serif" font-size="10.00">std::vector::size</text>
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</a>
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</g>
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</g>
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<!-- Node3->Node20 -->
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<g id="edge27_Node000003_Node000020" class="edge">
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<title>Node3->Node20</title>
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<g id="a_edge27_Node000003_Node000020"><a xlink:title=" ">
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<path fill="none" stroke="#63b8ff" d="M117.09,-389.86C151.63,-378.04 221.42,-360.52 267,-391.88 303.86,-417.23 278.99,-448.12 303,-485.88 312.98,-501.56 327.59,-516.61 339.5,-527.58"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="337.04,-530.08 346.84,-534.11 341.7,-524.85 337.04,-530.08"/>
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</a>
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</g>
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</g>
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<!-- Node21 -->
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<g id="Node000021" class="node">
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<title>Node21</title>
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<g id="a_Node000021"><a xlink:href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a9f1cb54ed09fde931bf3220d75ee4c57" target="_top" xlink:title="This function updates the value at node with val.">
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<text text-anchor="start" x="166" y="-625.25" font-family="Helvetica,sans-Serif" font-size="10.00">range_queries::heavy</text>
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<text text-anchor="start" x="166" y="-614" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
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<text text-anchor="middle" x="212.5" y="-602.75" font-family="Helvetica,sans-Serif" font-size="10.00">::HLD::update</text>
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</a>
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</g>
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</g>
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<!-- Node3->Node21 -->
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<g id="edge28_Node000003_Node000021" class="edge">
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<title>Node3->Node21</title>
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<g id="a_edge28_Node000003_Node000021"><a xlink:title=" ">
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<path fill="none" stroke="#63b8ff" d="M101.28,-407.7C106.68,-418.43 115.39,-436.18 122,-451.88 140.01,-494.64 135.37,-509.36 158,-549.88 165.46,-563.22 175.44,-576.71 184.76,-588.11"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="181.95,-590.2 191.07,-595.61 187.31,-585.7 181.95,-590.2"/>
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</a>
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</g>
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</g>
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<!-- Node4->Node5 -->
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<g id="edge4_Node000004_Node000005" class="edge">
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<title>Node4->Node5</title>
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<g id="a_edge4_Node000004_Node000005"><a xlink:title=" ">
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<path fill="none" stroke="#63b8ff" d="M267.17,-438.38C283.32,-443.34 300.84,-448.73 316.26,-453.47"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="315.03,-456.75 325.62,-456.34 317.09,-450.06 315.03,-456.75"/>
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</a>
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</g>
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</g>
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<!-- Node7 -->
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<g id="Node000007" class="node">
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<title>Node7</title>
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<g id="a_Node000007"><a xlink:href="../../d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html#a41c733f5f5e262b308f7cb95c88c1e74" target="_top" xlink:title="Function that specifies the type of operation involved when segments are combined.">
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<polygon fill="white" stroke="#666666" points="563.75,-285.75 454.75,-285.75 454.75,-244 563.75,-244 563.75,-285.75"/>
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<text text-anchor="start" x="462.75" y="-272.25" font-family="Helvetica,sans-Serif" font-size="10.00">range_queries::heavy</text>
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<text text-anchor="start" x="462.75" y="-261" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
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<text text-anchor="middle" x="509.25" y="-249.75" font-family="Helvetica,sans-Serif" font-size="10.00">::SG::combine</text>
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</a>
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</g>
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</g>
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<!-- Node6->Node7 -->
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<g id="edge6_Node000006_Node000007" class="edge">
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<title>Node6->Node7</title>
|
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<g id="a_edge6_Node000006_Node000007"><a xlink:title=" ">
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<path fill="none" stroke="#63b8ff" d="M267.32,-228.97C308.86,-231.82 367.67,-236.84 418.75,-244.88 426.75,-246.13 435.11,-247.68 443.36,-249.36"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="442.52,-252.76 453.03,-251.39 443.96,-245.91 442.52,-252.76"/>
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</a>
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</g>
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</g>
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<!-- Node8 -->
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<g id="Node000008" class="node">
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<title>Node8</title>
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<text text-anchor="start" x="314.38" y="-17" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
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<text text-anchor="middle" x="360.88" y="-5.75" font-family="Helvetica,sans-Serif" font-size="10.00">::HLD::dfs_hc</text>
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</a>
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</g>
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</g>
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<!-- Node6->Node8 -->
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<g id="edge7_Node000006_Node000008" class="edge">
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<title>Node6->Node8</title>
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<g id="a_edge7_Node000006_Node000008"><a xlink:title=" ">
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<path fill="none" stroke="#63b8ff" d="M222.69,-204.59C236.98,-172.94 266.68,-112.53 303,-68.88 308.69,-62.03 315.44,-55.39 322.27,-49.35"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="324.37,-52.16 329.72,-43.01 319.84,-46.82 324.37,-52.16"/>
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</a>
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</g>
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</g>
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<!-- Node9 -->
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<g id="Node000009" class="node">
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<title>Node9</title>
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<g id="a_Node000009"><a xlink:href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a0579062b384e54b611b80c6337c7f2c8" target="_top" xlink:title="Utility function to lable the nodes so that heavy chains have a contigous lable.">
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<text text-anchor="start" x="314.38" y="-282.25" font-family="Helvetica,sans-Serif" font-size="10.00">range_queries::heavy</text>
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<text text-anchor="start" x="314.38" y="-271" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
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<text text-anchor="middle" x="360.88" y="-259.75" font-family="Helvetica,sans-Serif" font-size="10.00">::HLD::dfs_labels</text>
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</a>
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</g>
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</g>
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<!-- Node6->Node9 -->
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<g id="edge9_Node000006_Node000009" class="edge">
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<title>Node6->Node9</title>
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<g id="a_edge9_Node000006_Node000009"><a xlink:title=" ">
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<path fill="none" stroke="#63b8ff" d="M267.17,-243.84C276.32,-246.91 285.91,-250.11 295.3,-253.26"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="294.18,-256.57 304.77,-256.43 296.4,-249.94 294.18,-256.57"/>
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</a>
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</g>
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</g>
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<!-- Node10 -->
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<g id="Node000010" class="node">
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<title>Node10</title>
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<g id="a_Node000010"><a xlink:href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a2dfbda148aad0bfaba2ebfda9ebc915a" target="_top" xlink:title="Utility function to assign highest parent that can be reached though heavy chains.">
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<text text-anchor="start" x="314.38" y="-166.25" font-family="Helvetica,sans-Serif" font-size="10.00">range_queries::heavy</text>
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<text text-anchor="start" x="314.38" y="-155" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
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<text text-anchor="middle" x="360.88" y="-143.75" font-family="Helvetica,sans-Serif" font-size="10.00">::HLD::dfs_par</text>
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</a>
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</g>
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<!-- Node6->Node10 -->
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<g id="edge11_Node000006_Node000010" class="edge">
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<title>Node6->Node10</title>
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<g id="a_edge11_Node000006_Node000010"><a xlink:title=" ">
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<path fill="none" stroke="#63b8ff" d="M259.81,-204.68C273.56,-198.38 288.78,-191.42 303.11,-184.86"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="304.35,-188.14 311.98,-180.8 301.43,-181.78 304.35,-188.14"/>
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</a>
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</g>
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</g>
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<g id="Node000011" class="node">
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<title>Node2->Node4</title>
|
||||
<g id="a_edge3_Node000002_Node000004"><a xlink:title=" ">
|
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<path fill="none" stroke="#63b8ff" d="M98.78,-478.79C111.51,-463.75 135.68,-435.19 151.63,-416.34"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="154.15,-418.78 157.93,-408.89 148.8,-414.26 154.15,-418.78"/>
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</a>
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</g>
|
||||
</g>
|
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<!-- Node24 -->
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<g id="Node000024" class="node">
|
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<title>Node24</title>
|
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<g id="a_Node000024"><a xlink:href="../../d2/de9/heavy__light__decomposition_8cpp.html#a458410412185a5f09199deaff7157a8d" target="_top" xlink:title=" ">
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<polygon fill="white" stroke="#666666" points="189.75,-517.5 146.75,-517.5 146.75,-498.25 189.75,-498.25 189.75,-517.5"/>
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<text text-anchor="middle" x="168.25" y="-504" font-family="Helvetica,sans-Serif" font-size="10.00">test_2</text>
|
||||
</a>
|
||||
</g>
|
||||
</g>
|
||||
<!-- Node2->Node24 -->
|
||||
<g id="edge31_Node000002_Node000024" class="edge">
|
||||
<title>Node2->Node24</title>
|
||||
<g id="a_edge31_Node000002_Node000024"><a xlink:title=" ">
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<path fill="none" stroke="#63b8ff" d="M105.83,-492.72C114.33,-494.82 125.16,-497.49 135.35,-500"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="134.42,-503.38 144.97,-502.38 136.1,-496.58 134.42,-503.38"/>
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</a>
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</g>
|
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</g>
|
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<!-- Node25 -->
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<g id="Node000025" class="node">
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<title>Node25</title>
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<g id="a_Node000025"><a xlink:href="../../d2/de9/heavy__light__decomposition_8cpp.html#af31ec5409537703d9c8a47350386b32a" target="_top" xlink:title=" ">
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<polygon fill="white" stroke="#666666" points="189.75,-480.5 146.75,-480.5 146.75,-461.25 189.75,-461.25 189.75,-480.5"/>
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<text text-anchor="middle" x="168.25" y="-467" font-family="Helvetica,sans-Serif" font-size="10.00">test_3</text>
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</a>
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</g>
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</g>
|
||||
<!-- Node2->Node25 -->
|
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<g id="edge39_Node000002_Node000025" class="edge">
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<title>Node2->Node25</title>
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<g id="a_edge39_Node000002_Node000025"><a xlink:title=" ">
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<path fill="none" stroke="#63b8ff" d="M105.83,-485.23C114.33,-483.25 125.16,-480.71 135.35,-478.33"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="136.02,-481.77 144.96,-476.09 134.43,-474.95 136.02,-481.77"/>
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</a>
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</g>
|
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</g>
|
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<!-- Node5 -->
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<g id="Node000005" class="node">
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<title>Node5</title>
|
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<g id="a_Node000005"><a xlink:href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a79ab4601c4a95c0902ac04e779e5f54d" target="_top" xlink:title="Adds an undirected edge from node u to node v in the tree.">
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<polygon fill="white" stroke="#666666" points="340,-442.75 231,-442.75 231,-401 340,-401 340,-442.75"/>
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<text text-anchor="start" x="239" y="-429.25" font-family="Helvetica,sans-Serif" font-size="10.00">range_queries::heavy</text>
|
||||
<text text-anchor="start" x="239" y="-418" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
|
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<text text-anchor="middle" x="285.5" y="-406.75" font-family="Helvetica,sans-Serif" font-size="10.00">::Tree::add_edge</text>
|
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</a>
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</g>
|
||||
</g>
|
||||
<!-- Node4->Node5 -->
|
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<g id="edge4_Node000004_Node000005" class="edge">
|
||||
<title>Node4->Node5</title>
|
||||
<g id="a_edge4_Node000004_Node000005"><a xlink:title=" ">
|
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<path fill="none" stroke="#63b8ff" d="M190.12,-402.22C198.59,-403.99 208.89,-406.13 219.52,-408.34"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="218.68,-411.74 229.18,-410.35 220.1,-404.89 218.68,-411.74"/>
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</a>
|
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</g>
|
||||
</g>
|
||||
<!-- Node6 -->
|
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<g id="Node000006" class="node">
|
||||
<title>Node6</title>
|
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<g id="a_Node000006"><a target="_blank" xlink:href="http://en.cppreference.com/w/cpp/container/vector/push_back.html#" xlink:title=" ">
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<polygon fill="white" stroke="#666666" points="491.75,-476.5 376,-476.5 376,-457.25 491.75,-457.25 491.75,-476.5"/>
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<text text-anchor="middle" x="433.88" y="-463" font-family="Helvetica,sans-Serif" font-size="10.00">std::vector::push_back</text>
|
||||
</a>
|
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</g>
|
||||
</g>
|
||||
<!-- Node4->Node6 -->
|
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<g id="edge19_Node000004_Node000006" class="edge">
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<title>Node4->Node6</title>
|
||||
<g id="a_edge19_Node000004_Node000006"><a xlink:title=" ">
|
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<path fill="none" stroke="#63b8ff" d="M171.67,-387.78C177.52,-365.92 194.68,-314.55 231,-293.88 273.1,-269.91 301.93,-263.91 340,-293.88 393.53,-336.01 331.89,-390.96 376,-442.88 378.69,-446.04 381.87,-448.8 385.33,-451.2"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="383.28,-454.06 393.69,-456 386.76,-447.99 383.28,-454.06"/>
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</a>
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</g>
|
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</g>
|
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<!-- Node7 -->
|
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<g id="Node000007" class="node">
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<title>Node7</title>
|
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<g id="a_Node000007"><a xlink:href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#ae9e979edd69678b85665c01e2ee97828" target="_top" xlink:title="This function must be called after the tree adjacency list and node values are populated The function...">
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<polygon fill="white" stroke="#666666" points="340,-246.75 231,-246.75 231,-205 340,-205 340,-246.75"/>
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<text text-anchor="start" x="239" y="-233.25" font-family="Helvetica,sans-Serif" font-size="10.00">range_queries::heavy</text>
|
||||
<text text-anchor="start" x="239" y="-222" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
|
||||
<text text-anchor="middle" x="285.5" y="-210.75" font-family="Helvetica,sans-Serif" font-size="10.00">::HLD::init</text>
|
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</a>
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</g>
|
||||
</g>
|
||||
<!-- Node4->Node7 -->
|
||||
<g id="edge6_Node000004_Node000007" class="edge">
|
||||
<title>Node4->Node7</title>
|
||||
<g id="a_edge6_Node000004_Node000007"><a xlink:title=" ">
|
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<path fill="none" stroke="#63b8ff" d="M171.67,-387.87C177.92,-363.69 196.58,-301.13 231,-260.88 233.03,-258.5 235.26,-256.23 237.62,-254.06"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="239.39,-257.13 244.88,-248.07 234.94,-251.73 239.39,-257.13"/>
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</a>
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</g>
|
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</g>
|
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<!-- Node15 -->
|
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<g id="Node000015" class="node">
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<title>Node15</title>
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<g id="a_Node000015"><a xlink:href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a4dfbf5d9df825eeb63b294c6849bdcab" target="_top" xlink:title="This function returns the sum of node values in the simple path from from node_1 to node_2.">
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<polygon fill="white" stroke="#666666" points="340,-344.75 231,-344.75 231,-303 340,-303 340,-344.75"/>
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<text text-anchor="start" x="239" y="-331.25" font-family="Helvetica,sans-Serif" font-size="10.00">range_queries::heavy</text>
|
||||
<text text-anchor="start" x="239" y="-320" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
|
||||
<text text-anchor="middle" x="285.5" y="-308.75" font-family="Helvetica,sans-Serif" font-size="10.00">::HLD::query</text>
|
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</a>
|
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</g>
|
||||
</g>
|
||||
<!-- Node4->Node15 -->
|
||||
<g id="edge20_Node000004_Node000015" class="edge">
|
||||
<title>Node4->Node15</title>
|
||||
<g id="a_edge20_Node000004_Node000015"><a xlink:title=" ">
|
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<path fill="none" stroke="#63b8ff" d="M184.79,-387.9C199.37,-378.54 221.84,-364.11 241.76,-351.32"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="243.49,-354.37 250.01,-346.02 239.71,-348.48 243.49,-354.37"/>
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</a>
|
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</g>
|
||||
</g>
|
||||
<!-- Node20 -->
|
||||
<g id="Node000020" class="node">
|
||||
<title>Node20</title>
|
||||
<g id="a_Node000020"><a xlink:href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a04cd96efaba147b19d3afc769b90ff70" target="_top" xlink:title="Set the values for all the nodes.">
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<polygon fill="white" stroke="#666666" points="340,-540.75 231,-540.75 231,-499 340,-499 340,-540.75"/>
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<text text-anchor="start" x="239" y="-527.25" font-family="Helvetica,sans-Serif" font-size="10.00">range_queries::heavy</text>
|
||||
<text text-anchor="start" x="239" y="-516" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
|
||||
<text text-anchor="middle" x="285.5" y="-504.75" font-family="Helvetica,sans-Serif" font-size="10.00">::Tree::set_node_val</text>
|
||||
</a>
|
||||
</g>
|
||||
</g>
|
||||
<!-- Node4->Node20 -->
|
||||
<g id="edge26_Node000004_Node000020" class="edge">
|
||||
<title>Node4->Node20</title>
|
||||
<g id="a_edge26_Node000004_Node000020"><a xlink:title=" ">
|
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<path fill="none" stroke="#63b8ff" d="M178.68,-407.86C195.56,-425.73 231.54,-463.81 256.84,-490.6"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="254.19,-492.89 263.6,-497.75 259.28,-488.08 254.19,-492.89"/>
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</a>
|
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</g>
|
||||
</g>
|
||||
<!-- Node21 -->
|
||||
<g id="Node000021" class="node">
|
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<title>Node21</title>
|
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<g id="a_Node000021"><a target="_blank" xlink:href="http://en.cppreference.com/w/cpp/container/vector/size.html#" xlink:title=" ">
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<polygon fill="white" stroke="#666666" points="477.12,-554.5 390.62,-554.5 390.62,-535.25 477.12,-535.25 477.12,-554.5"/>
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||||
<text text-anchor="middle" x="433.88" y="-541" font-family="Helvetica,sans-Serif" font-size="10.00">std::vector::size</text>
|
||||
</a>
|
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</g>
|
||||
</g>
|
||||
<!-- Node4->Node21 -->
|
||||
<g id="edge28_Node000004_Node000021" class="edge">
|
||||
<title>Node4->Node21</title>
|
||||
<g id="a_edge28_Node000004_Node000021"><a xlink:title=" ">
|
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<path fill="none" stroke="#63b8ff" d="M190.09,-389.86C224.63,-378.04 294.42,-360.52 340,-391.88 376.86,-417.23 351.99,-448.12 376,-485.88 385.98,-501.56 400.59,-516.61 412.5,-527.58"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="410.04,-530.08 419.84,-534.11 414.7,-524.85 410.04,-530.08"/>
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</a>
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</g>
|
||||
</g>
|
||||
<!-- Node22 -->
|
||||
<g id="Node000022" class="node">
|
||||
<title>Node22</title>
|
||||
<g id="a_Node000022"><a xlink:href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a9f1cb54ed09fde931bf3220d75ee4c57" target="_top" xlink:title="This function updates the value at node with val.">
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<polygon fill="white" stroke="#666666" points="340,-638.75 231,-638.75 231,-597 340,-597 340,-638.75"/>
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<text text-anchor="start" x="239" y="-625.25" font-family="Helvetica,sans-Serif" font-size="10.00">range_queries::heavy</text>
|
||||
<text text-anchor="start" x="239" y="-614" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
|
||||
<text text-anchor="middle" x="285.5" y="-602.75" font-family="Helvetica,sans-Serif" font-size="10.00">::HLD::update</text>
|
||||
</a>
|
||||
</g>
|
||||
</g>
|
||||
<!-- Node4->Node22 -->
|
||||
<g id="edge29_Node000004_Node000022" class="edge">
|
||||
<title>Node4->Node22</title>
|
||||
<g id="a_edge29_Node000004_Node000022"><a xlink:title=" ">
|
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<path fill="none" stroke="#63b8ff" d="M174.28,-407.7C179.68,-418.43 188.39,-436.18 195,-451.88 213.01,-494.64 208.37,-509.36 231,-549.88 238.46,-563.22 248.44,-576.71 257.76,-588.11"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="254.95,-590.2 264.07,-595.61 260.31,-585.7 254.95,-590.2"/>
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</a>
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</g>
|
||||
</g>
|
||||
<!-- Node5->Node6 -->
|
||||
<g id="edge5_Node000005_Node000006" class="edge">
|
||||
<title>Node5->Node6</title>
|
||||
<g id="a_edge5_Node000005_Node000006"><a xlink:title=" ">
|
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<path fill="none" stroke="#63b8ff" d="M340.17,-438.38C356.32,-443.34 373.84,-448.73 389.26,-453.47"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="388.03,-456.75 398.62,-456.34 390.09,-450.06 388.03,-456.75"/>
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</a>
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</g>
|
||||
</g>
|
||||
<!-- Node8 -->
|
||||
<g id="Node000008" class="node">
|
||||
<title>Node8</title>
|
||||
<g id="a_Node000008"><a xlink:href="../../d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html#a41c733f5f5e262b308f7cb95c88c1e74" target="_top" xlink:title="Function that specifies the type of operation involved when segments are combined.">
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<polygon fill="white" stroke="#666666" points="636.75,-285.75 527.75,-285.75 527.75,-244 636.75,-244 636.75,-285.75"/>
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<text text-anchor="start" x="535.75" y="-272.25" font-family="Helvetica,sans-Serif" font-size="10.00">range_queries::heavy</text>
|
||||
<text text-anchor="start" x="535.75" y="-261" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
|
||||
<text text-anchor="middle" x="582.25" y="-249.75" font-family="Helvetica,sans-Serif" font-size="10.00">::SG::combine</text>
|
||||
</a>
|
||||
</g>
|
||||
</g>
|
||||
<!-- Node7->Node8 -->
|
||||
<g id="edge7_Node000007_Node000008" class="edge">
|
||||
<title>Node7->Node8</title>
|
||||
<g id="a_edge7_Node000007_Node000008"><a xlink:title=" ">
|
||||
<path fill="none" stroke="#63b8ff" d="M340.32,-228.97C381.86,-231.82 440.67,-236.84 491.75,-244.88 499.75,-246.13 508.11,-247.68 516.36,-249.36"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="515.52,-252.76 526.03,-251.39 516.96,-245.91 515.52,-252.76"/>
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</a>
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</g>
|
||||
</g>
|
||||
<!-- Node9 -->
|
||||
<g id="Node000009" class="node">
|
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<title>Node9</title>
|
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<g id="a_Node000009"><a xlink:href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#af64848d6630c39d0f09ce2359cc7c4f8" target="_top" xlink:title="Utility function to assign heavy child to each node (-1 for a leaf node)">
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<polygon fill="white" stroke="#666666" points="488.38,-41.75 379.38,-41.75 379.38,0 488.38,0 488.38,-41.75"/>
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<text text-anchor="start" x="387.38" y="-28.25" font-family="Helvetica,sans-Serif" font-size="10.00">range_queries::heavy</text>
|
||||
<text text-anchor="start" x="387.38" y="-17" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
|
||||
<text text-anchor="middle" x="433.88" y="-5.75" font-family="Helvetica,sans-Serif" font-size="10.00">::HLD::dfs_hc</text>
|
||||
</a>
|
||||
</g>
|
||||
</g>
|
||||
<!-- Node7->Node9 -->
|
||||
<g id="edge8_Node000007_Node000009" class="edge">
|
||||
<title>Node7->Node9</title>
|
||||
<g id="a_edge8_Node000007_Node000009"><a xlink:title=" ">
|
||||
<path fill="none" stroke="#63b8ff" d="M295.69,-204.59C309.98,-172.94 339.68,-112.53 376,-68.88 381.69,-62.03 388.44,-55.39 395.27,-49.35"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="397.37,-52.16 402.72,-43.01 392.84,-46.82 397.37,-52.16"/>
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</a>
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</g>
|
||||
</g>
|
||||
<!-- Node10 -->
|
||||
<g id="Node000010" class="node">
|
||||
<title>Node10</title>
|
||||
<g id="a_Node000010"><a xlink:href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a0579062b384e54b611b80c6337c7f2c8" target="_top" xlink:title="Utility function to lable the nodes so that heavy chains have a contigous lable.">
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<polygon fill="white" stroke="#666666" points="488.38,-295.75 379.38,-295.75 379.38,-254 488.38,-254 488.38,-295.75"/>
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<text text-anchor="start" x="387.38" y="-282.25" font-family="Helvetica,sans-Serif" font-size="10.00">range_queries::heavy</text>
|
||||
<text text-anchor="start" x="387.38" y="-271" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
|
||||
<text text-anchor="middle" x="433.88" y="-259.75" font-family="Helvetica,sans-Serif" font-size="10.00">::HLD::dfs_labels</text>
|
||||
</a>
|
||||
</g>
|
||||
</g>
|
||||
<!-- Node7->Node10 -->
|
||||
<g id="edge10_Node000007_Node000010" class="edge">
|
||||
<title>Node7->Node10</title>
|
||||
<g id="a_edge10_Node000007_Node000010"><a xlink:title=" ">
|
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<path fill="none" stroke="#63b8ff" d="M340.17,-243.84C349.32,-246.91 358.91,-250.11 368.3,-253.26"/>
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<polygon fill="#63b8ff" stroke="#63b8ff" points="367.18,-256.57 377.77,-256.43 369.4,-249.94 367.18,-256.57"/>
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</a>
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</g>
|
||||
</g>
|
||||
<!-- Node11 -->
|
||||
<g id="Node000011" class="node">
|
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<title>Node11</title>
|
||||
<g id="a_Node000011"><a xlink:href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a2dfbda148aad0bfaba2ebfda9ebc915a" target="_top" xlink:title="Utility function to assign highest parent that can be reached though heavy chains.">
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<text text-anchor="middle" x="433.88" y="-463" font-family="Helvetica,sans-Serif" font-size="10.00">std::vector::push_back</text>
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<title>Node4->Node6</title>
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<g id="Node000007" class="node">
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<title>Node7</title>
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<g id="a_Node000007"><a xlink:href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#ae9e979edd69678b85665c01e2ee97828" target="_top" xlink:title="This function must be called after the tree adjacency list and node values are populated The function...">
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<text text-anchor="middle" x="285.5" y="-210.75" font-family="Helvetica,sans-Serif" font-size="10.00">::HLD::init</text>
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<title>Node4->Node7</title>
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<g id="a_edge6_Node000004_Node000007"><a xlink:title=" ">
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<title>Node15</title>
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<text text-anchor="start" x="239" y="-320" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
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<title>Node4->Node15</title>
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<g id="a_edge20_Node000004_Node000015"><a xlink:title=" ">
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<g id="Node000020" class="node">
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<title>Node20</title>
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<text text-anchor="start" x="239" y="-527.25" font-family="Helvetica,sans-Serif" font-size="10.00">range_queries::heavy</text>
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<text text-anchor="start" x="239" y="-516" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
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<text text-anchor="middle" x="285.5" y="-504.75" font-family="Helvetica,sans-Serif" font-size="10.00">::Tree::set_node_val</text>
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</a>
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</g>
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<title>Node4->Node20</title>
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<g id="a_edge26_Node000004_Node000020"><a xlink:title=" ">
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<g id="Node000021" class="node">
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<title>Node21</title>
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<text text-anchor="middle" x="433.88" y="-541" font-family="Helvetica,sans-Serif" font-size="10.00">std::vector::size</text>
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</a>
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</g>
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<title>Node4->Node21</title>
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<g id="a_edge28_Node000004_Node000021"><a xlink:title=" ">
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</g>
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</g>
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<g id="Node000022" class="node">
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<title>Node22</title>
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<text text-anchor="start" x="239" y="-625.25" font-family="Helvetica,sans-Serif" font-size="10.00">range_queries::heavy</text>
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<text text-anchor="start" x="239" y="-614" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
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<text text-anchor="middle" x="285.5" y="-602.75" font-family="Helvetica,sans-Serif" font-size="10.00">::HLD::update</text>
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</g>
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<title>Node4->Node22</title>
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<g id="a_edge29_Node000004_Node000022"><a xlink:title=" ">
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</g>
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<!-- Node5->Node6 -->
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<g id="edge5_Node000005_Node000006" class="edge">
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<title>Node5->Node6</title>
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<g id="a_edge5_Node000005_Node000006"><a xlink:title=" ">
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</g>
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</g>
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<!-- Node8 -->
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<g id="Node000008" class="node">
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<title>Node8</title>
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<g id="a_Node000008"><a xlink:href="../../d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html#a41c733f5f5e262b308f7cb95c88c1e74" target="_top" xlink:title="Function that specifies the type of operation involved when segments are combined.">
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<text text-anchor="start" x="535.75" y="-261" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
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<text text-anchor="middle" x="582.25" y="-249.75" font-family="Helvetica,sans-Serif" font-size="10.00">::SG::combine</text>
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</g>
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<!-- Node7->Node8 -->
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<g id="edge7_Node000007_Node000008" class="edge">
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<title>Node7->Node8</title>
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<g id="a_edge7_Node000007_Node000008"><a xlink:title=" ">
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</g>
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</g>
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<!-- Node9 -->
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<g id="Node000009" class="node">
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<title>Node9</title>
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<text text-anchor="middle" x="433.88" y="-5.75" font-family="Helvetica,sans-Serif" font-size="10.00">::HLD::dfs_hc</text>
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</g>
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<g id="edge8_Node000007_Node000009" class="edge">
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<title>Node7->Node9</title>
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<g id="a_edge8_Node000007_Node000009"><a xlink:title=" ">
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</g>
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</g>
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<g id="Node000010" class="node">
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<title>Node10</title>
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<g id="a_Node000010"><a xlink:href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a0579062b384e54b611b80c6337c7f2c8" target="_top" xlink:title="Utility function to lable the nodes so that heavy chains have a contigous lable.">
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<text text-anchor="start" x="387.38" y="-271" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
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</g>
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<!-- Node7->Node10 -->
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<g id="edge10_Node000007_Node000010" class="edge">
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<title>Node7->Node10</title>
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<g id="a_edge10_Node000007_Node000010"><a xlink:title=" ">
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</g>
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</g>
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<g id="Node000011" class="node">
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<title>Node11</title>
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<text text-anchor="start" x="387.38" y="-155" font-family="Helvetica,sans-Serif" font-size="10.00">_light_decomposition</text>
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<!-- Node7->Node11 -->
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<title>Node7->Node11</title>
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<g id="a_edge12_Node000007_Node000011"><a xlink:title=" ">
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</g>
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</g>
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<g id="Node000012" class="node">
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<title>Node12</title>
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<title>Node7->Node12</title>
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<g id="a_edge14_Node000007_Node000012"><a xlink:title=" ">
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<title>Node9->Node9</title>
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<g id="a_edge9_Node000009_Node000009"><a xlink:title=" ">
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</g>
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<!-- Node10->Node10 -->
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<g id="edge11_Node000010_Node000010" class="edge">
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<title>Node10->Node10</title>
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<g id="a_edge11_Node000010_Node000010"><a xlink:title=" ">
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</g>
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<title>Node11->Node11</title>
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<g id="a_edge13_Node000011_Node000011"><a xlink:title=" ">
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</g>
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<g id="Node000013" class="node">
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<title>Node13</title>
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<div class="header">
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<div class="headertitle"><div class="title">fibonacci_sum.cpp</div></div>
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<div class="contents">
|
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<a href="../../de/dc3/fibonacci__sum_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="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#include <cassert></span> </div>
|
||||
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include <cstdint></span></div>
|
||||
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include <iostream></span> </div>
|
||||
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include <vector></span> </div>
|
||||
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> </div>
|
||||
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../dd/d47/namespacemath.html">math</a> {</div>
|
||||
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d3/dc9/namespacefibonacci__sum.html">fibonacci_sum</a> {</div>
|
||||
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="keyword">using </span><a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a> = std::vector<std::vector<uint64_t> >;</div>
|
||||
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> </div>
|
||||
<div class="foldopen" id="foldopen00039" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"><a class="line" href="../../de/dc3/fibonacci__sum_8cpp.html#a9c83cca09a3e4ff2a25c816a9303448e"> 39</a></span>math::fibonacci_sum::matrix multiply(<span class="keyword">const</span> math::fibonacci_sum::matrix &T,</div>
|
||||
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="keyword">const</span> math::fibonacci_sum::matrix &A) {</div>
|
||||
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> math::fibonacci_sum::matrix <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>(2, std::vector<uint64_t>(2, 0));</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> <span class="comment">// multiplying matrices</span></div>
|
||||
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>[0][0] = T[0][0] * A[0][0] + T[0][1] * A[1][0];</div>
|
||||
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>[0][1] = T[0][0] * A[0][1] + T[0][1] * A[1][1];</div>
|
||||
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>[1][0] = T[1][0] * A[0][0] + T[1][1] * A[1][0];</div>
|
||||
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>[1][1] = T[1][0] * A[0][1] + T[1][1] * A[1][1];</div>
|
||||
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
|
||||
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>;</div>
|
||||
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span>}</div>
|
||||
</div>
|
||||
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> </div>
|
||||
<div class="foldopen" id="foldopen00058" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"><a class="line" href="../../de/dc3/fibonacci__sum_8cpp.html#a7cf5feaf168b88e74544da59ed830311"> 58</a></span>math::fibonacci_sum::matrix <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#a7cf5feaf168b88e74544da59ed830311">power</a>(math::fibonacci_sum::matrix T, uint64_t ex) {</div>
|
||||
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> math::fibonacci_sum::matrix A{{1, 1}, {1, 0}};</div>
|
||||
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="keywordflow">if</span> (ex == 0 || ex == 1) {</div>
|
||||
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="keywordflow">return</span> T;</div>
|
||||
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> }</div>
|
||||
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> </div>
|
||||
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> T = <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#a7cf5feaf168b88e74544da59ed830311">power</a>(T, ex / 2);</div>
|
||||
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> T = multiply(T, T);</div>
|
||||
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keywordflow">if</span> (ex & 1) {</div>
|
||||
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> T = multiply(T, A);</div>
|
||||
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> }</div>
|
||||
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="keywordflow">return</span> T;</div>
|
||||
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span>}</div>
|
||||
</div>
|
||||
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> </div>
|
||||
<div class="foldopen" id="foldopen00077" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"><a class="line" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa"> 77</a></span>uint64_t <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>(uint64_t n) {</div>
|
||||
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> math::fibonacci_sum::matrix T{{1, 1}, {1, 0}};</div>
|
||||
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> T = <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#a7cf5feaf168b88e74544da59ed830311">power</a>(T, n);</div>
|
||||
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> uint64_t ans = T[0][1];</div>
|
||||
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> ans = (ans - 1);</div>
|
||||
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="keywordflow">return</span> ans;</div>
|
||||
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span>}</div>
|
||||
</div>
|
||||
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> </div>
|
||||
<div class="foldopen" id="foldopen00091" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"><a class="line" href="../../de/dc3/fibonacci__sum_8cpp.html#a493fbaa7a94e3b7ca573111237bb3742"> 91</a></span>uint64_t <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#a493fbaa7a94e3b7ca573111237bb3742">fiboSum</a>(uint64_t n, uint64_t m) {</div>
|
||||
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="keywordflow">return</span> (<a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>(m + 2) - <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>(n + 1));</div>
|
||||
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span>}</div>
|
||||
</div>
|
||||
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span>} <span class="comment">// namespace fibonacci_sum</span></div>
|
||||
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span>} <span class="comment">// namespace math</span></div>
|
||||
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> </div>
|
||||
<div class="foldopen" id="foldopen00102" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"><a class="line" href="../../de/dc3/fibonacci__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d"> 102</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
|
||||
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> uint64_t n = 0, m = 3;</div>
|
||||
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> uint64_t <a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">test_1</a> = math::fibonacci_sum::fiboSum(n, m);</div>
|
||||
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> assert(<a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">test_1</a> == 4);</div>
|
||||
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> std::cout << <span class="stringliteral">"Passed Test 1!"</span> << std::endl;</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> n = 3;</div>
|
||||
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> m = 5;</div>
|
||||
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> uint64_t <a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a458410412185a5f09199deaff7157a8d">test_2</a> = math::fibonacci_sum::fiboSum(n, m);</div>
|
||||
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> assert(<a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a458410412185a5f09199deaff7157a8d">test_2</a> == 10);</div>
|
||||
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> std::cout << <span class="stringliteral">"Passed Test 2!"</span> << std::endl;</div>
|
||||
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> </div>
|
||||
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> n = 5;</div>
|
||||
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> m = 7;</div>
|
||||
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> uint64_t <a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#af31ec5409537703d9c8a47350386b32a">test_3</a> = math::fibonacci_sum::fiboSum(n, m);</div>
|
||||
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> assert(<a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#af31ec5409537703d9c8a47350386b32a">test_3</a> == 26);</div>
|
||||
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> std::cout << <span class="stringliteral">"Passed Test 3!"</span> << std::endl;</div>
|
||||
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> </div>
|
||||
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> n = 7;</div>
|
||||
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> m = 10;</div>
|
||||
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> uint64_t test_4 = math::fibonacci_sum::fiboSum(n, m);</div>
|
||||
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> assert(test_4 == 123);</div>
|
||||
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> std::cout << <span class="stringliteral">"Passed Test 4!"</span> << std::endl;</div>
|
||||
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> </div>
|
||||
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> n = 9;</div>
|
||||
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> m = 12;</div>
|
||||
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> uint64_t test_5 = math::fibonacci_sum::fiboSum(n, m);</div>
|
||||
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> assert(test_5 == 322);</div>
|
||||
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> std::cout << <span class="stringliteral">"Passed Test 5!"</span> << std::endl;</div>
|
||||
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span>}</div>
|
||||
</div>
|
||||
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> </div>
|
||||
<div class="foldopen" id="foldopen00137" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"><a class="line" href="../../de/dc3/fibonacci__sum_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 137</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
|
||||
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// execute the tests</span></div>
|
||||
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> <span class="keywordflow">return</span> 0;</div>
|
||||
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span>}</div>
|
||||
</div>
|
||||
<div class="ttc" id="afibonacci__sum_8cpp_html_a493fbaa7a94e3b7ca573111237bb3742"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#a493fbaa7a94e3b7ca573111237bb3742">math::fibonacci_sum::fiboSum</a></div><div class="ttdeci">uint64_t fiboSum(uint64_t n, uint64_t m)</div><div class="ttdef"><b>Definition</b> <a href="#l00091">fibonacci_sum.cpp:91</a></div></div>
|
||||
<div class="ttc" id="afibonacci__sum_8cpp_html_a7cf5feaf168b88e74544da59ed830311"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#a7cf5feaf168b88e74544da59ed830311">math::fibonacci_sum::power</a></div><div class="ttdeci">math::fibonacci_sum::matrix power(math::fibonacci_sum::matrix T, uint64_t ex)</div><div class="ttdef"><b>Definition</b> <a href="#l00058">fibonacci_sum.cpp:58</a></div></div>
|
||||
<div class="ttc" id="afibonacci__sum_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdef"><b>Definition</b> <a href="#l00102">fibonacci_sum.cpp:102</a></div></div>
|
||||
<div class="ttc" id="afibonacci__sum_8cpp_html_aadb40ac4c74a7efc0680b83eeee138aa"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">math::fibonacci_sum::result</a></div><div class="ttdeci">uint64_t result(uint64_t n)</div><div class="ttdef"><b>Definition</b> <a href="#l00077">fibonacci_sum.cpp:77</a></div></div>
|
||||
<div class="ttc" id="afibonacci__sum_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="#l00137">fibonacci_sum.cpp:137</a></div></div>
|
||||
<div class="ttc" id="aheavy__light__decomposition_8cpp_html_a34b8683a2b429de5cce57e6d733ec817"><div class="ttname"><a href="../../d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">test_1</a></div><div class="ttdeci">static void test_1()</div><div class="ttdef"><b>Definition</b> <a href="../../d2/de9/heavy__light__decomposition_8cpp_source.html#l00505">heavy_light_decomposition.cpp:505</a></div></div>
|
||||
<div class="ttc" id="aheavy__light__decomposition_8cpp_html_a458410412185a5f09199deaff7157a8d"><div class="ttname"><a href="../../d2/de9/heavy__light__decomposition_8cpp.html#a458410412185a5f09199deaff7157a8d">test_2</a></div><div class="ttdeci">static void test_2()</div><div class="ttdef"><b>Definition</b> <a href="../../d2/de9/heavy__light__decomposition_8cpp_source.html#l00549">heavy_light_decomposition.cpp:549</a></div></div>
|
||||
<div class="ttc" id="aheavy__light__decomposition_8cpp_html_af31ec5409537703d9c8a47350386b32a"><div class="ttname"><a href="../../d2/de9/heavy__light__decomposition_8cpp.html#af31ec5409537703d9c8a47350386b32a">test_3</a></div><div class="ttdeci">static void test_3()</div><div class="ttdef"><b>Definition</b> <a href="../../d2/de9/heavy__light__decomposition_8cpp_source.html#l00592">heavy_light_decomposition.cpp:592</a></div></div>
|
||||
<div class="ttc" id="alu__decomposition_8h_html_ac029b636b353cefbb18b2fcc71e427e4"><div class="ttname"><a href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a></div><div class="ttdeci">std::vector< std::valarray< T > > matrix</div><div class="ttdef"><b>Definition</b> <a href="../../d1/dbe/lu__decomposition_8h_source.html#l00019">lu_decomposition.h:19</a></div></div>
|
||||
<div class="ttc" id="anamespacefibonacci__sum_html"><div class="ttname"><a href="../../d3/dc9/namespacefibonacci__sum.html">fibonacci_sum</a></div><div class="ttdoc">Functions for the sum of the Fibonacci Sequence: .</div></div>
|
||||
<div class="ttc" id="anamespacemath_html"><div class="ttname"><a href="../../dd/d47/namespacemath.html">math</a></div><div class="ttdoc">for assert</div></div>
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