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<div class="headertitle"><div class="title">range_queries::fenwick_tree Class Reference</div></div>
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<p>The class that initializes the Fenwick Tree.
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<tr class="memitem:a5ea37183524553bbf2234a36a44a4b9a" id="r_a5ea37183524553bbf2234a36a44a4b9a"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:a5ea37183524553bbf2234a36a44a4b9a"><td class="memTemplItemLeft" align="right" valign="top">&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a5ea37183524553bbf2234a36a44a4b9a">fenwick_tree</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; T &gt; &amp;arr)</td></tr>
<tr class="memdesc:a5ea37183524553bbf2234a36a44a4b9a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Class Constructor. <br /></td></tr>
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<tr class="memitem:aef7ba885b91af093e9e514358fa0f36c" id="r_aef7ba885b91af093e9e514358fa0f36c"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:aef7ba885b91af093e9e514358fa0f36c"><td class="memTemplItemLeft" align="right" valign="top">&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#aef7ba885b91af093e9e514358fa0f36c">fenwick_tree</a> (T x)</td></tr>
<tr class="memdesc:aef7ba885b91af093e9e514358fa0f36c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Class Constructor. <br /></td></tr>
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<tr class="memitem:a19dea5e88bbd7683a719030623315de9" id="r_a19dea5e88bbd7683a719030623315de9"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:a19dea5e88bbd7683a719030623315de9"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a19dea5e88bbd7683a719030623315de9">update</a> (T id, T val)</td></tr>
<tr class="memdesc:a19dea5e88bbd7683a719030623315de9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Updates the value of an element in original array and accordingly updates the values in BIT array. <br /></td></tr>
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<tr class="memitem:a1fa0559d987fde0044761b17b35f5abd" id="r_a1fa0559d987fde0044761b17b35f5abd"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:a1fa0559d987fde0044761b17b35f5abd"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a1fa0559d987fde0044761b17b35f5abd">sum</a> (T id)</td></tr>
<tr class="memdesc:a1fa0559d987fde0044761b17b35f5abd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the sum of elements in range from 0 to ID. <br /></td></tr>
<tr class="separator:a1fa0559d987fde0044761b17b35f5abd"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0914a4b1401a7c427de91c92885724fe" id="r_a0914a4b1401a7c427de91c92885724fe"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a0914a4b1401a7c427de91c92885724fe">sum_range</a> (int l, int r)</td></tr>
<tr class="memdesc:a0914a4b1401a7c427de91c92885724fe"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the prefix sum in range from L to R. <br /></td></tr>
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Private Member Functions</h2></td></tr>
<tr class="memitem:ab492ebf07cab0e3c32d277ad986de801" id="r_ab492ebf07cab0e3c32d277ad986de801"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ab492ebf07cab0e3c32d277ad986de801">offset</a> (int x)</td></tr>
<tr class="memdesc:ab492ebf07cab0e3c32d277ad986de801"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the highest power of two which is not more than <code>x</code>. <br /></td></tr>
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Private Attributes</h2></td></tr>
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size_t&#160;</td><td class="memItemRight" valign="bottom"><b>n</b> = 0</td></tr>
<tr class="memdesc:af9f543aa5976b8cc5422490b3d6250c6"><td class="mdescLeft">&#160;</td><td class="mdescRight">No. of elements present in input array. <br /></td></tr>
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<tr class="memitem:af7b7a8c1c5724ed8683d7e28bef526e6" id="r_af7b7a8c1c5724ed8683d7e28bef526e6"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#af7b7a8c1c5724ed8683d7e28bef526e6">bit</a> {}</td></tr>
<tr class="memdesc:af7b7a8c1c5724ed8683d7e28bef526e6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Array that represents Binary Indexed Tree. <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>The class that initializes the Fenwick Tree. </p>
</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
<a id="a5ea37183524553bbf2234a36a44a4b9a" name="a5ea37183524553bbf2234a36a44a4b9a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5ea37183524553bbf2234a36a44a4b9a">&#9670;&#160;</a></span>fenwick_tree() <span class="overload">[1/2]</span></h2>
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template&lt;typename T &gt; </div>
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<td class="memname">range_queries::fenwick_tree::fenwick_tree </td>
<td>(</td>
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; T &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>arr</em></span></td><td>)</td>
<td></td>
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<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span> </td>
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<p>Class Constructor. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">T</td><td>the type of the array </td></tr>
</table>
</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">arr</td><td>Input array for which prefix sum is evaluated. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 50</span> : <a class="code hl_variable" href="#af9f543aa5976b8cc5422490b3d6250c6">n</a>(arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>()) {</div>
<div class="line"><span class="lineno"> 51</span> <a class="code hl_variable" href="#af7b7a8c1c5724ed8683d7e28bef526e6">bit</a>.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/assign.html">assign</a>(<a class="code hl_variable" href="#af9f543aa5976b8cc5422490b3d6250c6">n</a> + 1, 0);</div>
<div class="line"><span class="lineno"> 52</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code hl_variable" href="#af9f543aa5976b8cc5422490b3d6250c6">n</a>; ++i) {</div>
<div class="line"><span class="lineno"> 53</span> <a class="code hl_function" href="#a19dea5e88bbd7683a719030623315de9">update</a>(i, arr[i]);</div>
<div class="line"><span class="lineno"> 54</span> }</div>
<div class="line"><span class="lineno"> 55</span> }</div>
<div class="ttc" id="aassign_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/assign.html">std::vector::assign</a></div><div class="ttdeci">T assign(T... args)</div></div>
<div class="ttc" id="aclassrange__queries_1_1fenwick__tree_html_a19dea5e88bbd7683a719030623315de9"><div class="ttname"><a href="#a19dea5e88bbd7683a719030623315de9">range_queries::fenwick_tree::update</a></div><div class="ttdeci">void update(T id, T val)</div><div class="ttdoc">Updates the value of an element in original array and accordingly updates the values in BIT array.</div><div class="ttdef"><b>Definition</b> fenwick_tree.cpp:75</div></div>
<div class="ttc" id="aclassrange__queries_1_1fenwick__tree_html_af7b7a8c1c5724ed8683d7e28bef526e6"><div class="ttname"><a href="#af7b7a8c1c5724ed8683d7e28bef526e6">range_queries::fenwick_tree::bit</a></div><div class="ttdeci">std::vector&lt; int &gt; bit</div><div class="ttdoc">Array that represents Binary Indexed Tree.</div><div class="ttdef"><b>Definition</b> fenwick_tree.cpp:34</div></div>
<div class="ttc" id="aclassrange__queries_1_1fenwick__tree_html_af9f543aa5976b8cc5422490b3d6250c6"><div class="ttname"><a href="#af9f543aa5976b8cc5422490b3d6250c6">range_queries::fenwick_tree::n</a></div><div class="ttdeci">size_t n</div><div class="ttdoc">No. of elements present in input array.</div><div class="ttdef"><b>Definition</b> fenwick_tree.cpp:33</div></div>
<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/size.html">std::vector::size</a></div><div class="ttdeci">T size(T... args)</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aef7ba885b91af093e9e514358fa0f36c">&#9670;&#160;</a></span>fenwick_tree() <span class="overload">[2/2]</span></h2>
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<td class="memname">range_queries::fenwick_tree::fenwick_tree </td>
<td>(</td>
<td class="paramtype">T</td> <td class="paramname"><span class="paramname"><em>x</em></span></td><td>)</td>
<td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span> </td>
</tr>
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</div><div class="memdoc">
<p>Class Constructor. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">T</td><td>the type of the variable </td></tr>
</table>
</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>Size of array that represents Binary Indexed Tree. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 64</span>: <a class="code hl_variable" href="#af9f543aa5976b8cc5422490b3d6250c6">n</a>(x) { <a class="code hl_variable" href="#af7b7a8c1c5724ed8683d7e28bef526e6">bit</a>.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/assign.html">assign</a>(<a class="code hl_variable" href="#af9f543aa5976b8cc5422490b3d6250c6">n</a> + 1, 0); }</div>
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<h2 class="groupheader">Member Function Documentation</h2>
<a id="ab492ebf07cab0e3c32d277ad986de801" name="ab492ebf07cab0e3c32d277ad986de801"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab492ebf07cab0e3c32d277ad986de801">&#9670;&#160;</a></span>offset()</h2>
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<td class="memname">int range_queries::fenwick_tree::offset </td>
<td>(</td>
<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>x</em></span></td><td>)</td>
<td></td>
</tr>
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<p>Returns the highest power of two which is not more than <code>x</code>. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>Index of element in original array. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Offset of index. </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 41</span>{ <span class="keywordflow">return</span> (x &amp; (-x)); }</div>
</div><!-- fragment -->
</div>
</div>
<a id="a1fa0559d987fde0044761b17b35f5abd" name="a1fa0559d987fde0044761b17b35f5abd"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1fa0559d987fde0044761b17b35f5abd">&#9670;&#160;</a></span>sum()</h2>
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template&lt;typename T &gt; </div>
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<td class="memname">int range_queries::fenwick_tree::sum </td>
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<p>Returns the sum of elements in range from 0 to ID. </p>
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<tr><td class="paramname">T</td><td>the type of the variables </td></tr>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">id</td><td>Index in original array up to which sum is evaluated. </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>Sum of elements in range from 0 to id. </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 90</span> {</div>
<div class="line"><span class="lineno"> 91</span> <span class="keywordtype">id</span>++;</div>
<div class="line"><span class="lineno"> 92</span> T res = 0;</div>
<div class="line"><span class="lineno"> 93</span> <span class="keywordflow">while</span> (<span class="keywordtype">id</span> &gt; 0) {</div>
<div class="line"><span class="lineno"> 94</span> res += <a class="code hl_variable" href="#af7b7a8c1c5724ed8683d7e28bef526e6">bit</a>[id];</div>
<div class="line"><span class="lineno"> 95</span> <span class="keywordtype">id</span> -= <a class="code hl_function" href="#ab492ebf07cab0e3c32d277ad986de801">offset</a>(<span class="keywordtype">id</span>);</div>
<div class="line"><span class="lineno"> 96</span> }</div>
<div class="line"><span class="lineno"> 97</span> <span class="keywordflow">return</span> res;</div>
<div class="line"><span class="lineno"> 98</span> }</div>
<div class="ttc" id="aclassrange__queries_1_1fenwick__tree_html_ab492ebf07cab0e3c32d277ad986de801"><div class="ttname"><a href="#ab492ebf07cab0e3c32d277ad986de801">range_queries::fenwick_tree::offset</a></div><div class="ttdeci">int offset(int x)</div><div class="ttdoc">Returns the highest power of two which is not more than x.</div><div class="ttdef"><b>Definition</b> fenwick_tree.cpp:41</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a0914a4b1401a7c427de91c92885724fe">&#9670;&#160;</a></span>sum_range()</h2>
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<td class="memname">int range_queries::fenwick_tree::sum_range </td>
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<p>Returns the prefix sum in range from L to R. </p>
<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">l</td><td>Left index of range. </td></tr>
<tr><td class="paramname">r</td><td>Right index of range. </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>Sum of elements in range from L to R. </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 106</span>{ <span class="keywordflow">return</span> <a class="code hl_function" href="#a1fa0559d987fde0044761b17b35f5abd">sum</a>(r) - <a class="code hl_function" href="#a1fa0559d987fde0044761b17b35f5abd">sum</a>(l - 1); }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a19dea5e88bbd7683a719030623315de9">&#9670;&#160;</a></span>update()</h2>
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template&lt;typename T &gt; </div>
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<td class="memname">void range_queries::fenwick_tree::update </td>
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<p>Updates the value of an element in original array and accordingly updates the values in BIT array. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
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<tr><td class="paramname">T</td><td>the type of the variables </td></tr>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">id</td><td>Index of element in original array. </td></tr>
<tr><td class="paramname">val</td><td>Value with which element's value is updated. </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 75</span> {</div>
<div class="line"><span class="lineno"> 76</span> <span class="keywordtype">id</span>++;</div>
<div class="line"><span class="lineno"> 77</span> <span class="keywordflow">while</span> (<span class="keywordtype">id</span> &lt;= <a class="code hl_variable" href="#af9f543aa5976b8cc5422490b3d6250c6">n</a>) {</div>
<div class="line"><span class="lineno"> 78</span> <a class="code hl_variable" href="#af7b7a8c1c5724ed8683d7e28bef526e6">bit</a>[id] += val;</div>
<div class="line"><span class="lineno"> 79</span> <span class="keywordtype">id</span> += <a class="code hl_function" href="#ab492ebf07cab0e3c32d277ad986de801">offset</a>(<span class="keywordtype">id</span>);</div>
<div class="line"><span class="lineno"> 80</span> }</div>
<div class="line"><span class="lineno"> 81</span> }</div>
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<h2 class="groupheader">Member Data Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#af7b7a8c1c5724ed8683d7e28bef526e6">&#9670;&#160;</a></span>bit</h2>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt;int&gt; range_queries::fenwick_tree::bit {}</td>
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<p>Array that represents Binary Indexed Tree. </p>
<div class="fragment"><div class="line"><span class="lineno"> 34</span>{}; <span class="comment">///&lt; Array that represents Binary Indexed Tree.</span></div>
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<hr/>The documentation for this class was generated from the following file:<ul>
<li>range_queries/<a class="el" href="../../d6/d2e/fenwick__tree_8cpp.html">fenwick_tree.cpp</a></li>
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