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<title>Algorithms_in_C++: range_queries/fenwick_tree.cpp File Reference</title>
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<div id="projectname">Algorithms_in_C++
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 <span id="projectnumber">1.0.0</span>
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<div id="projectname">Algorithms_in_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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@@ -93,8 +93,7 @@ $(document).ready(function(){initNavTree('d6/d2e/fenwick__tree_8cpp.html','../..
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<div class="summary">
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<a href="#nested-classes">Classes</a> |
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<a href="#func-members">Functions</a> </div>
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<div class="headertitle">
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<div class="title">fenwick_tree.cpp File Reference</div> </div>
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<div class="headertitle"><div class="title">fenwick_tree.cpp File Reference</div></div>
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</div><!--header-->
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@@ -110,21 +109,21 @@ Include dependency graph for fenwick_tree.cpp:</div>
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</div>
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</div>
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</div><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="nested-classes" name="nested-classes"></a>
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Classes</h2></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d91/class_fenwick_tree.html">FenwickTree</a></td></tr>
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<tr class="separator:"><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 name="func-members"></a>
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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:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d2e/fenwick__tree_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2"> </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>Fenwick tree. </p>
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<p>A Fenwick tree or binary indexed tree is a data structure that can efficiently update elements and calculate prefix sums in a table of numbers. </p>
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<div class="textblock"><p >Fenwick tree. </p>
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<p >A Fenwick tree or binary indexed tree is a data structure that can efficiently update elements and calculate prefix sums in a table of numbers. </p>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
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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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<div class="memitem">
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@@ -139,23 +138,23 @@ Functions</h2></td></tr>
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</div><div class="memdoc">
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<p>Main function </p>
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<div class="fragment"><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  {</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keywordtype">int</span> n = 5;</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a> arr = {1, 2, 3, 4, 5};</div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <a class="code" href="../../dd/d91/class_fenwick_tree.html">FenwickTree</a> fenwick_tree(arr);</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  </div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  assert(fenwick_tree.sum_range(0, 0) == 1);</div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  assert(fenwick_tree.sum_range(0, 1) == 3);</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  assert(fenwick_tree.sum_range(0, 2) == 6);</div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  fenwick_tree.update(0, 6);</div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  assert(fenwick_tree.sum_range(0, 0) == 6);</div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  assert(fenwick_tree.sum_range(0, 1) == 8);</div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  assert(fenwick_tree.sum_range(0, 2) == 11);</div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> }</div>
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<p >Main function </p>
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<div class="fragment"><div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> {</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="keywordtype">int</span> n = 5;</div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a> arr = {1, 2, 3, 4, 5};</div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <a class="code hl_class" href="../../dd/d91/class_fenwick_tree.html">FenwickTree</a> fenwick_tree(arr);</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> </div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> assert(fenwick_tree.sum_range(0, 0) == 1);</div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> assert(fenwick_tree.sum_range(0, 1) == 3);</div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> assert(fenwick_tree.sum_range(0, 2) == 6);</div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> fenwick_tree.update(0, 6);</div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> assert(fenwick_tree.sum_range(0, 0) == 6);</div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> assert(fenwick_tree.sum_range(0, 1) == 8);</div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> assert(fenwick_tree.sum_range(0, 2) == 11);</div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span>}</div>
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<div class="ttc" id="aclass_fenwick_tree_html"><div class="ttname"><a href="../../dd/d91/class_fenwick_tree.html">FenwickTree</a></div><div class="ttdef"><b>Definition:</b> fenwick_tree.cpp:17</div></div>
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<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector< int ></a></div></div>
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<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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@@ -171,7 +170,7 @@ Here is the call graph for this function:</div>
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<ul>
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<li class="navelem"><a class="el" href="../../dir_074119ce3a874b57120c49a0cc4bb5ad.html">range_queries</a></li><li class="navelem"><a class="el" href="../../d6/d2e/fenwick__tree_8cpp.html">fenwick_tree.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> 1.9.1 </li>
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