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410
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<a href="#pub-methods">Public Member Functions</a> |
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<a href="../../de/d29/class_fenwick_tree-members.html">List of all members</a> </div>
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Public Member Functions</h2></td></tr>
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<tr class="memitem:aaddab1f03d4941212a82cc647b1adb17"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d91/class_fenwick_tree.html#aaddab1f03d4941212a82cc647b1adb17">FenwickTree</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< int > &arr)</td></tr>
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<tr class="memitem:a70f8c261393ca09ec1ad716ac806ead6"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d91/class_fenwick_tree.html#a70f8c261393ca09ec1ad716ac806ead6">FenwickTree</a> (int x)</td></tr>
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<tr class="separator:a70f8c261393ca09ec1ad716ac806ead6"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a2e9ea4fcbe0786487f4535c1cfc7aa00"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d91/class_fenwick_tree.html#a2e9ea4fcbe0786487f4535c1cfc7aa00">update</a> (int id, int val)</td></tr>
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<tr class="memitem:ade1d6a3d49af9d9df33e2fb26cab1699"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d91/class_fenwick_tree.html#ade1d6a3d49af9d9df33e2fb26cab1699">sum</a> (int id)</td></tr>
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<tr class="memitem:a115ff5c548b429b737ea09f75817d1f9"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d91/class_fenwick_tree.html#a115ff5c548b429b737ea09f75817d1f9">sum_range</a> (int l, int r)</td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pri-methods"></a>
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Private Member Functions</h2></td></tr>
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<tr class="memitem:aaae15ea71455315e257baa11017cec10"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d91/class_fenwick_tree.html#aaae15ea71455315e257baa11017cec10">offset</a> (int x)</td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pri-attribs"></a>
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Private Attributes</h2></td></tr>
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<tr class="memitem:a4816596da965b5f0871d77b5a1985aa1"><td class="memItemLeft" align="right" valign="top"><a id="a4816596da965b5f0871d77b5a1985aa1"></a>
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int </td><td class="memItemRight" valign="bottom"><b>n</b></td></tr>
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<tr class="separator:a4816596da965b5f0871d77b5a1985aa1"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aa8ecebf6f4ad9faaf4b826668d9409bb"><td class="memItemLeft" align="right" valign="top"><a id="aa8ecebf6f4ad9faaf4b826668d9409bb"></a>
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<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< int > </td><td class="memItemRight" valign="bottom"><b>bit</b></td></tr>
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<tr class="separator:aa8ecebf6f4ad9faaf4b826668d9409bb"><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>n --> No. of elements present in input array. bit[0..n] --> Array that represents Binary Indexed Tree. </p>
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</div><h2 class="groupheader">Constructor & Destructor Documentation</h2>
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<a id="aaddab1f03d4941212a82cc647b1adb17"></a>
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||||
<h2 class="memtitle"><span class="permalink"><a href="#aaddab1f03d4941212a82cc647b1adb17">◆ </a></span>FenwickTree() <span class="overload">[1/2]</span></h2>
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<div class="memitem">
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<div class="memproto">
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<td class="mlabels-left">
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<table class="memname">
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<td class="memname">FenwickTree::FenwickTree </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">std::vector</a>< int > & </td>
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<td class="paramname"><em>arr</em></td><td>)</td>
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<td></td>
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</tr>
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</td>
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<td class="mlabels-right">
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||||
<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span> </td>
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</tr>
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</table>
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</div><div class="memdoc">
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||||
<p>Constructor </p><dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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||||
<tr><td class="paramdir">[in]</td><td class="paramname">arr</td><td>--> Input array for which prefix sum is evaluated. </td></tr>
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</table>
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</dd>
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</dl>
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<div class="fragment"><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  {</div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  n = arr.size();</div>
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||||
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  bit.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/assign.html">assign</a>(n + 1, 0);</div>
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||||
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < n; ++i) {</div>
|
||||
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <a class="code" href="../../dd/d91/class_fenwick_tree.html#a2e9ea4fcbe0786487f4535c1cfc7aa00">update</a>(i, arr[i]);</div>
|
||||
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  }</div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  }</div>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../dd/d91/class_fenwick_tree_aaddab1f03d4941212a82cc647b1adb17_cgraph.svg" width="570" height="88"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<a id="a70f8c261393ca09ec1ad716ac806ead6"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#a70f8c261393ca09ec1ad716ac806ead6">◆ </a></span>FenwickTree() <span class="overload">[2/2]</span></h2>
|
||||
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||||
<div class="memitem">
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||||
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||||
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||||
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||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">FenwickTree::FenwickTree </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">int </td>
|
||||
<td class="paramname"><em>x</em></td><td>)</td>
|
||||
<td></td>
|
||||
</tr>
|
||||
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|
||||
</td>
|
||||
<td class="mlabels-right">
|
||||
<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span> </td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
<p>Constructor </p><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>
|
||||
<div class="fragment"><div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  {</div>
|
||||
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  n = x;</div>
|
||||
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  bit.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/assign.html">assign</a>(n + 1, 0);</div>
|
||||
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  }</div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
<div class="dyncontent">
|
||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../dd/d91/class_fenwick_tree_a70f8c261393ca09ec1ad716ac806ead6_cgraph.svg" width="370" height="38"><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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||||
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||||
</div>
|
||||
</div>
|
||||
<h2 class="groupheader">Member Function Documentation</h2>
|
||||
<a id="aaae15ea71455315e257baa11017cec10"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#aaae15ea71455315e257baa11017cec10">◆ </a></span>offset()</h2>
|
||||
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||||
<div class="memitem">
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||||
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||||
<td class="mlabels-left">
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||||
<table class="memname">
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||||
<tr>
|
||||
<td class="memname">int FenwickTree::offset </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">int </td>
|
||||
<td class="paramname"><em>x</em></td><td>)</td>
|
||||
<td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</td>
|
||||
<td class="mlabels-right">
|
||||
<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">private</span></span> </td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
<p>Returns the highest power of two which is not more than x </p>
|
||||
<div class="fragment"><div class="line"><a name="l00022"></a><span class="lineno"> 22</span> { <span class="keywordflow">return</span> (x & (-x)); }</div>
|
||||
</div><!-- fragment -->
|
||||
</div>
|
||||
</div>
|
||||
<a id="ade1d6a3d49af9d9df33e2fb26cab1699"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#ade1d6a3d49af9d9df33e2fb26cab1699">◆ </a></span>sum()</h2>
|
||||
|
||||
<div class="memitem">
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||||
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||||
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||||
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||||
<td class="mlabels-left">
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||||
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||||
<tr>
|
||||
<td class="memname">int FenwickTree::sum </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">int </td>
|
||||
<td class="paramname"><em>id</em></td><td>)</td>
|
||||
<td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</td>
|
||||
<td class="mlabels-right">
|
||||
<span class="mlabels"><span class="mlabel">inline</span></span> </td>
|
||||
</tr>
|
||||
</table>
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||||
</div><div class="memdoc">
|
||||
<p>Get prefix sum upto id </p>
|
||||
<div class="fragment"><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  {</div>
|
||||
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordtype">id</span>++;</div>
|
||||
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keywordtype">int</span> res = 0;</div>
|
||||
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keywordflow">while</span> (<span class="keywordtype">id</span> > 0) {</div>
|
||||
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  res += bit[id];</div>
|
||||
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordtype">id</span> -= <a class="code" href="../../dd/d91/class_fenwick_tree.html#aaae15ea71455315e257baa11017cec10">offset</a>(<span class="keywordtype">id</span>);</div>
|
||||
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  }</div>
|
||||
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keywordflow">return</span> res;</div>
|
||||
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  }</div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
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||||
<div class="dyncontent">
|
||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../dd/d91/class_fenwick_tree_ade1d6a3d49af9d9df33e2fb26cab1699_cgraph.svg" width="328" height="38"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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||||
</div>
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||||
</div>
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||||
|
||||
</div>
|
||||
</div>
|
||||
<a id="a115ff5c548b429b737ea09f75817d1f9"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#a115ff5c548b429b737ea09f75817d1f9">◆ </a></span>sum_range()</h2>
|
||||
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||||
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||||
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||||
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||||
<td class="memname">int FenwickTree::sum_range </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">int </td>
|
||||
<td class="paramname"><em>l</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">int </td>
|
||||
<td class="paramname"><em>r</em> </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td></td>
|
||||
<td>)</td>
|
||||
<td></td><td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</td>
|
||||
<td class="mlabels-right">
|
||||
<span class="mlabels"><span class="mlabel">inline</span></span> </td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
<p>Returns the prefix sum in range from l to r </p>
|
||||
<div class="fragment"><div class="line"><a name="l00065"></a><span class="lineno"> 65</span> { <span class="keywordflow">return</span> <a class="code" href="../../dd/d91/class_fenwick_tree.html#ade1d6a3d49af9d9df33e2fb26cab1699">sum</a>(r) - <a class="code" href="../../dd/d91/class_fenwick_tree.html#ade1d6a3d49af9d9df33e2fb26cab1699">sum</a>(l - 1); }</div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
<div class="dyncontent">
|
||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../dd/d91/class_fenwick_tree_a115ff5c548b429b737ea09f75817d1f9_cgraph.svg" width="546" height="38"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<a id="a2e9ea4fcbe0786487f4535c1cfc7aa00"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#a2e9ea4fcbe0786487f4535c1cfc7aa00">◆ </a></span>update()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<table class="mlabels">
|
||||
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|
||||
<td class="mlabels-left">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">void FenwickTree::update </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">int </td>
|
||||
<td class="paramname"><em>id</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">int </td>
|
||||
<td class="paramname"><em>val</em> </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td></td>
|
||||
<td>)</td>
|
||||
<td></td><td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</td>
|
||||
<td class="mlabels-right">
|
||||
<span class="mlabels"><span class="mlabel">inline</span></span> </td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
<p>Add val at id </p>
|
||||
<div class="fragment"><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  {</div>
|
||||
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="keywordtype">id</span>++;</div>
|
||||
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="keywordflow">while</span> (<span class="keywordtype">id</span> <= n) {</div>
|
||||
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  bit[id] += val;</div>
|
||||
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keywordtype">id</span> += <a class="code" href="../../dd/d91/class_fenwick_tree.html#aaae15ea71455315e257baa11017cec10">offset</a>(<span class="keywordtype">id</span>);</div>
|
||||
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  }</div>
|
||||
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  }</div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
<div class="dyncontent">
|
||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../dd/d91/class_fenwick_tree_a2e9ea4fcbe0786487f4535c1cfc7aa00_cgraph.svg" width="342" height="38"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<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>
|
||||
</ul>
|
||||
</div><!-- contents -->
|
||||
</div><!-- doc-content -->
|
||||
<div class="ttc" id="aclass_fenwick_tree_html_aaae15ea71455315e257baa11017cec10"><div class="ttname"><a href="../../dd/d91/class_fenwick_tree.html#aaae15ea71455315e257baa11017cec10">FenwickTree::offset</a></div><div class="ttdeci">int offset(int x)</div><div class="ttdef"><b>Definition:</b> fenwick_tree.cpp:22</div></div>
|
||||
<div class="ttc" id="aclass_fenwick_tree_html_a2e9ea4fcbe0786487f4535c1cfc7aa00"><div class="ttname"><a href="../../dd/d91/class_fenwick_tree.html#a2e9ea4fcbe0786487f4535c1cfc7aa00">FenwickTree::update</a></div><div class="ttdeci">void update(int id, int val)</div><div class="ttdef"><b>Definition:</b> fenwick_tree.cpp:45</div></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="aclass_fenwick_tree_html_ade1d6a3d49af9d9df33e2fb26cab1699"><div class="ttname"><a href="../../dd/d91/class_fenwick_tree.html#ade1d6a3d49af9d9df33e2fb26cab1699">FenwickTree::sum</a></div><div class="ttdeci">int sum(int id)</div><div class="ttdef"><b>Definition:</b> fenwick_tree.cpp:54</div></div>
|
||||
<!-- start footer part -->
|
||||
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
|
||||
<ul>
|
||||
<li class="navelem"><a class="el" href="../../dd/d91/class_fenwick_tree.html">FenwickTree</a></li>
|
||||
<li class="footer">Generated on Sun Jun 21 2020 19:43:37 for Algorithms_in_C++ by
|
||||
<a href="http://www.doxygen.org/index.html">
|
||||
<img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
|
||||
</ul>
|
||||
</div>
|
||||
</body>
|
||||
</html>
|
||||
11
dd/d91/class_fenwick_tree.js
Normal file
11
dd/d91/class_fenwick_tree.js
Normal file
@@ -0,0 +1,11 @@
|
||||
var class_fenwick_tree =
|
||||
[
|
||||
[ "FenwickTree", "dd/d91/class_fenwick_tree.html#aaddab1f03d4941212a82cc647b1adb17", null ],
|
||||
[ "FenwickTree", "dd/d91/class_fenwick_tree.html#a70f8c261393ca09ec1ad716ac806ead6", null ],
|
||||
[ "offset", "dd/d91/class_fenwick_tree.html#aaae15ea71455315e257baa11017cec10", null ],
|
||||
[ "sum", "dd/d91/class_fenwick_tree.html#ade1d6a3d49af9d9df33e2fb26cab1699", null ],
|
||||
[ "sum_range", "dd/d91/class_fenwick_tree.html#a115ff5c548b429b737ea09f75817d1f9", null ],
|
||||
[ "update", "dd/d91/class_fenwick_tree.html#a2e9ea4fcbe0786487f4535c1cfc7aa00", null ],
|
||||
[ "bit", "dd/d91/class_fenwick_tree.html#aa8ecebf6f4ad9faaf4b826668d9409bb", null ],
|
||||
[ "n", "dd/d91/class_fenwick_tree.html#a4816596da965b5f0871d77b5a1985aa1", null ]
|
||||
];
|
||||
@@ -0,0 +1,5 @@
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</map>
|
||||
@@ -0,0 +1 @@
|
||||
2cb9401984ecaa1dd48ca95f2da1ae9f
|
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@@ -0,0 +1,52 @@
|
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<title>Node3</title>
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<g id="a_node3"><a xlink:href="../../dd/d91/class_fenwick_tree.html#aaae15ea71455315e257baa11017cec10" target="_top" xlink:title=" ">
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