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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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<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>
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<h2 class="memtitle"><span class="permalink"><a href="#aaddab1f03d4941212a82cc647b1adb17">&#9670;&#160;</a></span>FenwickTree() <span class="overload">[1/2]</span></h2>
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<td class="memname">FenwickTree::FenwickTree </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>&lt; int &gt; &amp;&#160;</td>
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<p>Constructor </p><dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramdir">[in]</td><td class="paramname">arr</td><td>--&gt; Input array for which prefix sum is evaluated. </td></tr>
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<div class="fragment"><div class="line"><span class="lineno"> 28</span> {</div>
<div class="line"><span class="lineno"> 29</span> n = 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"> 30</span> bit.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/assign.html">assign</a>(n + 1, 0);</div>
<div class="line"><span class="lineno"> 31</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; ++i) {</div>
<div class="line"><span class="lineno"> 32</span> <a class="code hl_function" href="../../dd/d91/class_fenwick_tree.html#a2e9ea4fcbe0786487f4535c1cfc7aa00">update</a>(i, arr[i]);</div>
<div class="line"><span class="lineno"> 33</span> }</div>
<div class="line"><span class="lineno"> 34</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="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="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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<td class="memname">FenwickTree::FenwickTree </td>
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<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>
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<tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>--&gt; Size of array that represents Binary Indexed Tree. </td></tr>
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<div class="fragment"><div class="line"><span class="lineno"> 39</span> {</div>
<div class="line"><span class="lineno"> 40</span> n = x;</div>
<div class="line"><span class="lineno"> 41</span> bit.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/assign.html">assign</a>(n + 1, 0);</div>
<div class="line"><span class="lineno"> 42</span> }</div>
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<h2 class="groupheader">Member Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#aaae15ea71455315e257baa11017cec10">&#9670;&#160;</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>
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<p>Returns the highest power of two which is not more than x </p>
<div class="fragment"><div class="line"><span class="lineno"> 22</span>{ <span class="keywordflow">return</span> (x &amp; (-x)); }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ade1d6a3d49af9d9df33e2fb26cab1699">&#9670;&#160;</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>
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<p>Get prefix sum upto id </p>
<div class="fragment"><div class="line"><span class="lineno"> 54</span> {</div>
<div class="line"><span class="lineno"> 55</span> <span class="keywordtype">id</span>++;</div>
<div class="line"><span class="lineno"> 56</span> <span class="keywordtype">int</span> res = 0;</div>
<div class="line"><span class="lineno"> 57</span> <span class="keywordflow">while</span> (<span class="keywordtype">id</span> &gt; 0) {</div>
<div class="line"><span class="lineno"> 58</span> res += bit[id];</div>
<div class="line"><span class="lineno"> 59</span> <span class="keywordtype">id</span> -= <a class="code hl_function" href="../../dd/d91/class_fenwick_tree.html#aaae15ea71455315e257baa11017cec10">offset</a>(<span class="keywordtype">id</span>);</div>
<div class="line"><span class="lineno"> 60</span> }</div>
<div class="line"><span class="lineno"> 61</span> <span class="keywordflow">return</span> res;</div>
<div class="line"><span class="lineno"> 62</span> }</div>
<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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<h2 class="memtitle"><span class="permalink"><a href="#a115ff5c548b429b737ea09f75817d1f9">&#9670;&#160;</a></span>sum_range()</h2>
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<td class="memname">int FenwickTree::sum_range </td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>l</em>, </td>
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<p>Returns the prefix sum in range from l to r </p>
<div class="fragment"><div class="line"><span class="lineno"> 65</span>{ <span class="keywordflow">return</span> <a class="code hl_function" href="../../dd/d91/class_fenwick_tree.html#ade1d6a3d49af9d9df33e2fb26cab1699">sum</a>(r) - <a class="code hl_function" 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;&#160;</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>
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<p>Add val at id </p>
<div class="fragment"><div class="line"><span class="lineno"> 45</span> {</div>
<div class="line"><span class="lineno"> 46</span> <span class="keywordtype">id</span>++;</div>
<div class="line"><span class="lineno"> 47</span> <span class="keywordflow">while</span> (<span class="keywordtype">id</span> &lt;= n) {</div>
<div class="line"><span class="lineno"> 48</span> bit[id] += val;</div>
<div class="line"><span class="lineno"> 49</span> <span class="keywordtype">id</span> += <a class="code hl_function" href="../../dd/d91/class_fenwick_tree.html#aaae15ea71455315e257baa11017cec10">offset</a>(<span class="keywordtype">id</span>);</div>
<div class="line"><span class="lineno"> 50</span> }</div>
<div class="line"><span class="lineno"> 51</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>
</ul>
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