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<title>Algorithms_in_C++: FenwickTree Class Reference</title>
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<div id="projectname">Algorithms_in_C++<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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<div class="headertitle"><div class="title">FenwickTree Class Reference</div></div>
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<div class="contents">
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Collaboration diagram for FenwickTree:</div>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pub-methods" name="pub-methods"></a>
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Public Member Functions</h2></td></tr>
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@@ -158,13 +164,14 @@ int </td><td class="memItemRight" valign="bottom"><b>n</b></td></tr>
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<div class="fragment"><div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> {</div>
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<div class="line"><a id="l00029" name="l00029"></a><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>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> bit.assign(n + 1, 0);</div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < n; ++i) {</div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <a class="code hl_function" href="../../dd/d91/class_fenwick_tree.html#a2e9ea4fcbe0786487f4535c1cfc7aa00">update</a>(i, arr[i]);</div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> }</div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> }</div>
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<div class="fragment"><div class="line"><span class="lineno"> 28</span> {</div>
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<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>
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<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>
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<div class="line"><span class="lineno"> 31</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < n; ++i) {</div>
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<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>
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<div class="line"><span class="lineno"> 33</span> }</div>
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<div class="line"><span class="lineno"> 34</span> }</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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<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>
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<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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</dd>
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</dl>
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<div class="fragment"><div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> {</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> n = x;</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> bit.assign(n + 1, 0);</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> }</div>
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<div class="fragment"><div class="line"><span class="lineno"> 39</span> {</div>
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<div class="line"><span class="lineno"> 40</span> n = x;</div>
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<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>
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<div class="line"><span class="lineno"> 42</span> }</div>
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<p >Returns the highest power of two which is not more than x </p>
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<div class="fragment"><div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span>{ <span class="keywordflow">return</span> (x & (-x)); }</div>
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<div class="fragment"><div class="line"><span class="lineno"> 22</span>{ <span class="keywordflow">return</span> (x & (-x)); }</div>
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<p >Get prefix sum upto id </p>
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<div class="fragment"><div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> {</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keywordtype">id</span>++;</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keywordtype">int</span> res = 0;</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keywordflow">while</span> (<span class="keywordtype">id</span> > 0) {</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> res += bit[id];</div>
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<div class="line"><a id="l00059" name="l00059"></a><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>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> }</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="keywordflow">return</span> res;</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> }</div>
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<div class="fragment"><div class="line"><span class="lineno"> 54</span> {</div>
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<div class="line"><span class="lineno"> 55</span> <span class="keywordtype">id</span>++;</div>
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<div class="line"><span class="lineno"> 56</span> <span class="keywordtype">int</span> res = 0;</div>
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<div class="line"><span class="lineno"> 57</span> <span class="keywordflow">while</span> (<span class="keywordtype">id</span> > 0) {</div>
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<div class="line"><span class="lineno"> 58</span> res += bit[id];</div>
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<div class="line"><span class="lineno"> 60</span> }</div>
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<div class="line"><span class="lineno"> 61</span> <span class="keywordflow">return</span> res;</div>
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<div class="line"><span class="lineno"> 62</span> }</div>
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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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<p >Returns the prefix sum in range from l to r </p>
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<div class="fragment"><div class="line"><a id="l00065" name="l00065"></a><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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<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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<p >Add val at id </p>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> }</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> }</div>
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<div class="fragment"><div class="line"><span class="lineno"> 45</span> {</div>
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<div class="line"><span class="lineno"> 48</span> bit[id] += val;</div>
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<div class="line"><span class="lineno"> 50</span> }</div>
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