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&#160;<span id="projectnumber">1.0.0</span>
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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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<tr class="memitem:aaddab1f03d4941212a82cc647b1adb17"><td class="memItemLeft" align="right" valign="top">&#160;</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>&lt; int &gt; &amp;arr)</td></tr>
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<tr class="memitem:a70f8c261393ca09ec1ad716ac806ead6"><td class="memItemLeft" align="right" valign="top">&#160;</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="memitem:a2e9ea4fcbe0786487f4535c1cfc7aa00"><td class="memItemLeft" align="right" valign="top">void&#160;</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&#160;</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&#160;</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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Private Member Functions</h2></td></tr>
<tr class="memitem:aaae15ea71455315e257baa11017cec10"><td class="memItemLeft" align="right" valign="top">int&#160;</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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Private Attributes</h2></td></tr>
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int&#160;</td><td class="memItemRight" valign="bottom"><b>n</b></td></tr>
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<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"><b>bit</b></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>n --&gt; No. of elements present in input array. bit[0..n] --&gt; Array that represents Binary Indexed Tree. </p>
</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#aaddab1f03d4941212a82cc647b1adb17">&#9670;&nbsp;</a></span>FenwickTree() <span class="overload">[1/2]</span></h2>
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<td class="memname">FenwickTree::FenwickTree </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; int &gt; &amp;&#160;</td>
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<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span> </td>
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<p>Constructor </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">arr</td><td>--&gt; Input array for which prefix sum is evaluated. </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160; {</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160; n = arr.size();</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160; 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="l00031"></a><span class="lineno"> 31</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; ++i) {</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; <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>&#160; }</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a70f8c261393ca09ec1ad716ac806ead6">&#9670;&nbsp;</a></span>FenwickTree() <span class="overload">[2/2]</span></h2>
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<td class="memname">FenwickTree::FenwickTree </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
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<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>--&gt; 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>&#160; {</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; n = x;</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; 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>&#160; }</div>
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<h2 class="groupheader">Member Function Documentation</h2>
<a id="aaae15ea71455315e257baa11017cec10"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aaae15ea71455315e257baa11017cec10">&#9670;&nbsp;</a></span>offset()</h2>
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<td class="memname">int FenwickTree::offset </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
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<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">private</span></span> </td>
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<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>&#160;{ <span class="keywordflow">return</span> (x &amp; (-x)); }</div>
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</div>
<a id="ade1d6a3d49af9d9df33e2fb26cab1699"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ade1d6a3d49af9d9df33e2fb26cab1699">&#9670;&nbsp;</a></span>sum()</h2>
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<td class="memname">int FenwickTree::sum </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>id</em></td><td>)</td>
<td></td>
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<p>Get prefix sum upto id </p>
<div class="fragment"><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; {</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; <span class="keywordtype">id</span>++;</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="keywordtype">int</span> res = 0;</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; <span class="keywordflow">while</span> (<span class="keywordtype">id</span> &gt; 0) {</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; res += bit[id];</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; <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>&#160; }</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a115ff5c548b429b737ea09f75817d1f9">&#9670;&nbsp;</a></span>sum_range()</h2>
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<td class="memname">int FenwickTree::sum_range </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>l</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>r</em>&#160;</td>
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<td></td>
<td>)</td>
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<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>&#160;{ <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>
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<h2 class="memtitle"><span class="permalink"><a href="#a2e9ea4fcbe0786487f4535c1cfc7aa00">&#9670;&nbsp;</a></span>update()</h2>
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<td class="memname">void FenwickTree::update </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>id</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>val</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<p>Add val at id </p>
<div class="fragment"><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; {</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; <span class="keywordtype">id</span>++;</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; <span class="keywordflow">while</span> (<span class="keywordtype">id</span> &lt;= n) {</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; bit[id] += val;</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; <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>&#160; }</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; }</div>
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<hr/>The documentation for this class was generated from the following file:<ul>
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<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>
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<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>
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